diff --git "a/data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.Module.Presentation.Tensor.sym.json" "b/data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.Module.Presentation.Tensor.sym.json"
new file mode 100644--- /dev/null
+++ "b/data_5e932f97dd25535344f80f9dd8da3aab83df0fe6/Mathlib.Algebra.Module.Presentation.Tensor.sym.json"
@@ -0,0 +1 @@
+[{"isProp":true,"kind":"theorem","name":["Module","Relations","Solution","isPresentationCoreTensor","_proof_5"],"typeFallback":"forall {A : Type.{u_6}} [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 : CommRing.{u_6} A] {M₁ : Type.{u_7}} {M₂ : Type.{u_8}} [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8 : AddCommGroup.{u_7} M₁] [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11 : AddCommGroup.{u_8} M₂] [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 : Module.{u_6, u_7} A M₁ (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_7} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8)] [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 : Module.{u_6, u_8} A M₂ (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11)] {relations₁ : Module.Relations.{u_2, u_4, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)} {relations₂ : Module.Relations.{u_3, u_5, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)} {solution₁ : Module.Relations.Solution.{u_2, u_4, u_7, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁ M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14} {solution₂ : Module.Relations.Solution.{u_3, u_5, u_8, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18} (h₁ : Module.Relations.Solution.IsPresentation.{u_2, u_4, u_7, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁ M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 solution₁) (h₂ : Module.Relations.Solution.IsPresentation.{u_3, u_5, u_8, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 solution₂) {N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 : Type.{u_1}} [inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93 : AddCommGroup.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92] [inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 : Module.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93)] (x._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.95 : Module.Relations.Solution.{max u_2 u_3, max (max (max u_2 u_4) u_3) u_5, u_1, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) (Module.Relations.tensor.{u_2, u_4, u_3, u_5, u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 relations₁ relations₂) N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94), Eq.{max (succ u_1) (succ (max u_2 u_3))} (Module.Relations.Solution.{max u_2 u_3, max (max (max u_2 u_4) u_3) u_5, u_1, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) (Module.Relations.tensor.{u_2, u_4, u_3, u_5, u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 relations₁ relations₂) N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94) (Module.Relations.Solution.postcomp.{max u_2 u_3, max (max (max u_2 u_4) u_3) u_5, u_1, max u_7 u_8, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) (Module.Relations.tensor.{u_2, u_4, u_3, u_5, u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 relations₁ relations₂) (TensorProduct.{u_6, u_7, u_8} A 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inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (smulCommClass_self.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (DistribMulAction.toMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommMonoid.toMonoid.{u_6} A (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (AddCommMonoid.toAddMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 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(CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_7} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) (TensorProduct.instModule.{u_6, u_7, u_8} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_7} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94) (LinearMap.addCommMonoid.{u_6, u_6, u_7, max u_1 u_8} A A M₁ (LinearMap.{u_6, u_6, u_8, u_1} A A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_7} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (LinearMap.addCommMonoid.{u_6, u_6, u_8, u_1} A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 (LinearMap.module.{u_6, u_6, u_6, u_8, u_1} A A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (smulCommClass_self.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (DistribMulAction.toMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommMonoid.toMonoid.{u_6} A (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (AddCommMonoid.toAddMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93)) (Module.toDistribMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94)))) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))) (LinearMap.addCommMonoid.{u_6, u_6, max u_7 u_8, u_1} A A (TensorProduct.{u_6, u_7, u_8} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_7} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (TensorProduct.addCommMonoid.{u_6, u_7, u_8} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_7} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) (TensorProduct.instModule.{u_6, u_7, u_8} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_7} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))) (LinearMap.module.{u_6, u_6, u_6, u_7, max u_1 u_8} A A A M₁ (LinearMap.{u_6, u_6, u_8, u_1} A A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_7} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (LinearMap.addCommMonoid.{u_6, u_6, u_8, u_1} A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 (LinearMap.module.{u_6, u_6, u_6, u_8, u_1} A A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (smulCommClass_self.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (DistribMulAction.toMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommMonoid.toMonoid.{u_6} A (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (AddCommMonoid.toAddMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93)) (Module.toDistribMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94)))) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (LinearMap.module.{u_6, u_6, u_6, u_8, u_1} A A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (smulCommClass_self.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (DistribMulAction.toMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommMonoid.toMonoid.{u_6} A (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (AddCommMonoid.toAddMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93)) (Module.toDistribMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94)))) (LinearMap.instSMulCommClass.{u_6, u_6, u_6, u_6, u_8, u_1} A A A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (DistribMulAction.toDistribSMul.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (MonoidWithZero.toMonoid.{u_6} A (Semiring.toMonoidWithZero.{u_6} A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (AddCommMonoid.toAddMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93)) (Module.toDistribMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94)) (smulCommClass_self.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (DistribMulAction.toMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommMonoid.toMonoid.{u_6} A (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (AddCommMonoid.toAddMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93)) (Module.toDistribMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94))) (DistribMulAction.toDistribSMul.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (MonoidWithZero.toMonoid.{u_6} A (Semiring.toMonoidWithZero.{u_6} A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (AddCommMonoid.toAddMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93)) (Module.toDistribMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94)) (smulCommClass_self.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (DistribMulAction.toMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommMonoid.toMonoid.{u_6} A (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (AddCommMonoid.toAddMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93)) (Module.toDistribMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94))) (smulCommClass_self.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (DistribMulAction.toMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommMonoid.toMonoid.{u_6} A (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (AddCommMonoid.toAddMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93)) (Module.toDistribMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94))))) (LinearMap.module.{u_6, u_6, u_6, max u_7 u_8, u_1} A A A (TensorProduct.{u_6, u_7, u_8} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_7} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (TensorProduct.addCommMonoid.{u_6, u_7, u_8} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_7} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) (TensorProduct.instModule.{u_6, u_7, u_8} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_7} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (smulCommClass_self.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (DistribMulAction.toMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommMonoid.toMonoid.{u_6} A (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (AddCommMonoid.toAddMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93)) (Module.toDistribMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94))))) (LinearMap.{u_6, u_6, u_7, max u_1 u_8} A A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₁ (LinearMap.{u_6, u_6, u_8, u_1} A A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94) (AddCommGroup.toAddCommMonoid.{u_7} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (LinearMap.addCommMonoid.{u_6, u_6, u_8, u_1} A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 (LinearMap.module.{u_6, u_6, u_6, u_8, u_1} A A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (smulCommClass_self.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (DistribMulAction.toMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommMonoid.toMonoid.{u_6} A (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (AddCommMonoid.toAddMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93)) (Module.toDistribMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94))))) (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : LinearMap.{u_6, u_6, u_7, max u_1 u_8} A A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₁ (LinearMap.{u_6, u_6, u_8, u_1} A A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94) (AddCommGroup.toAddCommMonoid.{u_7} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (LinearMap.addCommMonoid.{u_6, u_6, u_8, u_1} A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 (LinearMap.module.{u_6, u_6, u_6, u_8, u_1} A A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (smulCommClass_self.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (DistribMulAction.toMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommMonoid.toMonoid.{u_6} A (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (AddCommMonoid.toAddMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93)) (Module.toDistribMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94))))) => LinearMap.{u_6, u_6, max u_8 u_7, u_1} A A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (TensorProduct.{u_6, u_7, u_8} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_7} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (TensorProduct.addCommMonoid.{u_6, u_7, u_8} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_7} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) (TensorProduct.instModule.{u_6, u_7, u_8} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_7} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94) (LinearMap.instFunLike.{u_6, u_6, max (max u_1 u_8) u_7, max (max u_1 u_8) u_7} A A (LinearMap.{u_6, u_6, u_7, max u_1 u_8} A A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₁ (LinearMap.{u_6, u_6, u_8, u_1} A A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94) (AddCommGroup.toAddCommMonoid.{u_7} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (LinearMap.addCommMonoid.{u_6, u_6, u_8, u_1} A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 (LinearMap.module.{u_6, u_6, u_6, u_8, u_1} A A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A 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N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93)) (Module.toDistribMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94)))) 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inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (TensorProduct.addCommMonoid.{u_6, u_7, u_8} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_7} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 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inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))) (LinearMap.module.{u_6, u_6, u_6, u_7, max u_1 u_8} A A A M₁ (LinearMap.{u_6, u_6, u_8, u_1} A A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_7} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (LinearMap.addCommMonoid.{u_6, u_6, u_8, u_1} A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 (LinearMap.module.{u_6, u_6, u_6, u_8, u_1} A A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (smulCommClass_self.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (DistribMulAction.toMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommMonoid.toMonoid.{u_6} A (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (AddCommMonoid.toAddMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93)) (Module.toDistribMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94)))) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (LinearMap.module.{u_6, u_6, u_6, u_8, u_1} A A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (smulCommClass_self.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (DistribMulAction.toMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommMonoid.toMonoid.{u_6} A (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (AddCommMonoid.toAddMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93)) (Module.toDistribMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94)))) (LinearMap.instSMulCommClass.{u_6, u_6, u_6, u_6, u_8, u_1} A A A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (DistribMulAction.toDistribSMul.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (MonoidWithZero.toMonoid.{u_6} A (Semiring.toMonoidWithZero.{u_6} A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (AddCommMonoid.toAddMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93)) (Module.toDistribMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94)) (smulCommClass_self.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (DistribMulAction.toMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommMonoid.toMonoid.{u_6} A (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (AddCommMonoid.toAddMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93)) (Module.toDistribMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94))) (DistribMulAction.toDistribSMul.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (MonoidWithZero.toMonoid.{u_6} A (Semiring.toMonoidWithZero.{u_6} A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (AddCommMonoid.toAddMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93)) (Module.toDistribMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94)) (smulCommClass_self.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (DistribMulAction.toMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommMonoid.toMonoid.{u_6} A (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (AddCommMonoid.toAddMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93)) (Module.toDistribMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94))) (smulCommClass_self.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (DistribMulAction.toMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommMonoid.toMonoid.{u_6} A (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (AddCommMonoid.toAddMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93)) (Module.toDistribMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94))))) (LinearMap.module.{u_6, u_6, u_6, max u_7 u_8, u_1} A A A (TensorProduct.{u_6, u_7, u_8} A (CommRing.toCommSemiring.{u_6} A 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inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (smulCommClass_self.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toCommMonoid.{u_6} A 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inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94)))) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))) (TensorProduct.uncurry.{u_6, u_6, u_7, u_8, u_1} A A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) (RingHom.id.{u_6} A 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(CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (smulCommClass_self.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (DistribMulAction.toMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommMonoid.toMonoid.{u_6} A (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (AddCommMonoid.toAddMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93)) (Module.toDistribMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94)))) (fun (g₁ : Module.Relations.G.{u_2, u_4, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) => Module.Relations.Solution.IsPresentation.desc.{u_3, u_5, u_1, u_8, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 solution₂ h₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (Module.Relations.Solution.mk.{u_3, u_5, u_1, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (fun (g₂ : Module.Relations.G.{u_3, u_5, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂) => Module.Relations.Solution.var.{max u_2 u_3, max (max (max u_2 u_4) u_3) u_5, u_1, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) (Module.Relations.tensor.{u_2, u_4, u_3, u_5, u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 relations₁ relations₂) N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 x._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.95 (Prod.mk.{u_2, u_3} (Module.Relations.G.{u_2, u_4, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) (Module.Relations.G.{u_3, u_5, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂) g₁ g₂)) (fun (r₂ : Module.Relations.R.{u_3, u_5, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂) => Module.Relations.Solution.isPresentationCoreTensor._proof_1.{u_1, u_3, u_6, u_5, u_2, u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 relations₁ relations₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 x._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.95 g₁ r₂))) (fun (r₁ : Module.Relations.R.{u_2, u_4, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) => Module.Relations.Solution.IsPresentation.postcomp_injective.{u_3, u_5, u_1, u_8, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 solution₂ h₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (DFunLike.coe.{max (max (succ (max u_8 u_1)) (succ u_2)) (succ u_6), max (succ u_2) (succ u_6), succ (max u_8 u_1)} (LinearMap.{u_6, u_6, max u_6 u_2, max u_8 u_1} A A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (Finsupp.{u_2, u_6} (Module.Relations.G.{u_2, u_4, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) A (MulZeroClass.toZero.{u_6} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u_6} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))))) (LinearMap.{u_6, u_6, u_8, u_1} A A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94) (Finsupp.instAddCommMonoid.{u_2, u_6} (Module.Relations.G.{u_2, u_4, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u_6} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))))) (AddCommGroup.toAddCommMonoid.{max u_8 u_1} (LinearMap.{u_6, u_6, u_8, u_1} A A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94) (LinearMap.addCommGroup.{u_6, u_6, u_8, u_1} A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))))) (Finsupp.module.{u_2, u_6, u_6} (Module.Relations.G.{u_2, u_4, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) A A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u_6} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))) (Semiring.toModule.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (LinearMap.module.{u_6, u_6, u_6, u_8, u_1} A A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (smulCommClass_self.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (DistribMulAction.toMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommMonoid.toMonoid.{u_6} A (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (AddCommMonoid.toAddMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93)) (Module.toDistribMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94))))) (Finsupp.{u_2, u_6} (Module.Relations.G.{u_2, u_4, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) A (MulZeroClass.toZero.{u_6} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u_6} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))))) (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : Finsupp.{u_2, u_6} (Module.Relations.G.{u_2, u_4, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) A (MulZeroClass.toZero.{u_6} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u_6} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))))) => LinearMap.{u_6, u_6, u_8, u_1} A A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94) (LinearMap.instFunLike.{u_6, u_6, max u_2 u_6, max u_8 u_1} A A (Finsupp.{u_2, u_6} (Module.Relations.G.{u_2, u_4, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) A (MulZeroClass.toZero.{u_6} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u_6} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))))) (LinearMap.{u_6, u_6, u_8, u_1} A A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94) (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (Finsupp.instAddCommMonoid.{u_2, u_6} (Module.Relations.G.{u_2, u_4, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u_6} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))))) (AddCommGroup.toAddCommMonoid.{max u_8 u_1} (LinearMap.{u_6, u_6, u_8, u_1} A A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94) (LinearMap.addCommGroup.{u_6, u_6, u_8, u_1} A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))))) (Finsupp.module.{u_2, u_6, u_6} (Module.Relations.G.{u_2, u_4, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) A A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u_6} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))) (Semiring.toModule.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (LinearMap.module.{u_6, u_6, u_6, u_8, u_1} A A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (smulCommClass_self.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (DistribMulAction.toMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommMonoid.toMonoid.{u_6} A (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (AddCommMonoid.toAddMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93)) (Module.toDistribMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94)))) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))) (Finsupp.linearCombination.{u_2, max u_8 u_1, u_6} (Module.Relations.G.{u_2, u_4, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) (LinearMap.{u_6, u_6, u_8, u_1} A A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94) A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{max u_8 u_1} (LinearMap.{u_6, u_6, u_8, u_1} A A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94) (LinearMap.addCommGroup.{u_6, u_6, u_8, u_1} A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))))) (LinearMap.module.{u_6, u_6, u_6, u_8, u_1} A A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (smulCommClass_self.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (DistribMulAction.toMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommMonoid.toMonoid.{u_6} A (CommSemiring.toCommMonoid.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (AddCommMonoid.toAddMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93)) (Module.toDistribMulAction.{u_6, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94)))) (fun (g₁ : Module.Relations.G.{u_2, u_4, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) => Module.Relations.Solution.IsPresentation.desc.{u_3, u_5, u_1, u_8, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 solution₂ h₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (Module.Relations.Solution.mk.{u_3, u_5, u_1, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (fun (g₂ : Module.Relations.G.{u_3, u_5, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂) => Module.Relations.Solution.var.{max u_2 u_3, max (max (max u_2 u_4) u_3) u_5, u_1, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) (Module.Relations.tensor.{u_2, u_4, u_3, u_5, u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 relations₁ relations₂) N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 x._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.95 (Prod.mk.{u_2, u_3} (Module.Relations.G.{u_2, u_4, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) (Module.Relations.G.{u_3, u_5, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂) g₁ g₂)) (fun (r₂ : Module.Relations.R.{u_3, u_5, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂) => Module.Relations.Solution.isPresentationCoreTensor._proof_1.{u_1, u_3, u_6, u_5, u_2, u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 relations₁ relations₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 x._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.95 g₁ r₂)))) (Module.Relations.relation.{u_2, u_4, u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁ r₁)) (OfNat.ofNat.{max u_8 u_1} (LinearMap.{u_6, u_6, u_8, u_1} A A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94) 0 (Zero.toOfNat0.{max u_8 u_1} (LinearMap.{u_6, u_6, u_8, u_1} A A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94) (NegZeroClass.toZero.{max u_8 u_1} (LinearMap.{u_6, u_6, u_8, u_1} A A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94) (SubNegZeroMonoid.toNegZeroClass.{max u_8 u_1} (LinearMap.{u_6, u_6, u_8, u_1} A A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94) (SubtractionMonoid.toSubNegZeroMonoid.{max u_8 u_1} (LinearMap.{u_6, u_6, u_8, u_1} A A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94) (SubtractionCommMonoid.toSubtractionMonoid.{max u_8 u_1} (LinearMap.{u_6, u_6, u_8, u_1} A A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94) (AddCommGroup.toDivisionAddCommMonoid.{max u_8 u_1} (LinearMap.{u_6, u_6, u_8, u_1} A A (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94) (LinearMap.addCommGroup.{u_6, u_6, u_8, u_1} A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_6} A (CommRing.toCommSemiring.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_8} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 (RingHom.id.{u_6} A (Semiring.toNonAssocSemiring.{u_6} A (Ring.toSemiring.{u_6} A (CommRing.toRing.{u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))))))))))) (Module.Relations.Solution.isPresentationCoreTensor._proof_2.{u_1, u_3, u_5, u_6, u_8, u_2, u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 relations₁ relations₂ solution₂ h₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.92 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.53.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.93 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.56.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.94 x._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.95 r₁)))))) x._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.95","typeFull":"∀ {A : Type u_6} [inst : CommRing A] {M₁ : Type u_7} {M₂ : Type u_8} [inst_1 : AddCommGroup M₁]\n  [inst_2 : AddCommGroup M₂] [inst_3 : Module A M₁] [inst_4 : Module A M₂] {relations₁ : Module.Relations A}\n  {relations₂ : Module.Relations A} {solution₁ : relations₁.Solution M₁} {solution₂ : relations₂.Solution M₂}\n  (h₁ : solution₁.IsPresentation) (h₂ : solution₂.IsPresentation) {N : Type u_1} [inst_5 : AddCommGroup N]\n  [inst_6 : Module A N] (x : (relations₁.tensor relations₂).Solution N),\n  (solution₁.tensor solution���).postcomp\n      ((TensorProduct.uncurry (RingHom.id A) M₁ M₂ N)\n        (h₁.desc\n          { var := fun g₁ => h₂.desc { var := fun g₂ => x.var (g₁, g₂), linearCombination_var_relation := ⋯ },\n            linearCombination_var_relation := ⋯ })) =\n    x","typeReadable":"∀ {A : Type u_6} [inst : CommRing A] {M₁ : Type u_7} {M₂ : Type u_8} [inst_1 : AddCommGroup M₁]\n  [inst_2 : AddCommGroup M₂] [inst_3 : Module A M₁] [inst_4 : Module A M₂] {relations₁ : Module.Relations A}\n  {relations₂ : Module.Relations A} {solution₁ : relations₁.Solution M₁} {solution₂ : relations₂.Solution M₂}\n  (h₁ : solution₁.IsPresentation) (h₂ : solution₂.IsPresentation) {N : Type u_1} [inst_5 : AddCommGroup N]\n  [inst_6 : Module A N] (x : (relations₁.tensor relations₂).Solution N),\n  (solution₁.tensor solution₂).postcomp\n      ((TensorProduct.uncurry (RingHom.id A) M₁ M₂ N)\n        (h₁.desc\n          { var := fun g₁ => h₂.desc { var := fun g₂ => x.var (g₁, g₂), linearCombination_var_relation := ⋯ },\n            linearCombination_var_relation := ⋯ })) =\n    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{A : Type.{u_3}} [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 : CommRing.{u_3} A] {M₂ : Type.{u_4}} [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11 : AddCommGroup.{u_4} M₂] [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 : Module.{u_3, u_4} A M₂ (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11)] {relations₁ : Module.Relations.{u_1, u_2, u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)} {relations₂ : Module.Relations.{u_6, u_7, u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)} {solution₂ : Module.Relations.Solution.{u_6, u_7, u_4, u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18} (h₂ : Module.Relations.Solution.IsPresentation.{u_6, u_7, u_4, u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 solution₂) {N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 : Type.{u_5}} [inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47 : AddCommGroup.{u_5} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46] [inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 : Module.{u_3, u_5} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_5} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47)] (s : Module.Relations.Solution.{max u_1 u_6, max (max (max u_1 u_2) u_6) u_7, u_5, u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) (Module.Relations.tensor.{u_1, u_2, u_6, u_7, u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 relations₁ relations₂) N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) (r₁ : Module.Relations.R.{u_1, u_2, u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁), Eq.{max (succ u_4) (succ u_5)} (LinearMap.{u_3, u_3, u_4, u_5} A A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_3} A (Semiring.toNonAssocSemiring.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_5} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) (DFunLike.coe.{max (max (succ (max u_4 u_5)) (succ u_1)) (succ u_3), max (succ u_1) (succ u_3), succ (max u_4 u_5)} (LinearMap.{u_3, u_3, max u_3 u_1, max u_4 u_5} A A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_3} A (Semiring.toNonAssocSemiring.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (Finsupp.{u_1, u_3} (Module.Relations.G.{u_1, u_2, u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) A (MulZeroClass.toZero.{u_3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u_3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u_3} A (Semiring.toNonAssocSemiring.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))))) (LinearMap.{u_3, u_3, u_4, u_5} A A (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A 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(CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) A A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u_3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u_3} A (Semiring.toNonAssocSemiring.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))) (Semiring.toModule.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (LinearMap.module.{u_3, u_3, u_3, u_4, u_5} A A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_3} A 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inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 (Module.Relations.Solution.isPresentationCoreTensor._proof_3.{u_3, u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48))) (Finsupp.{u_1, u_3} (Module.Relations.G.{u_1, u_2, u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) A (MulZeroClass.toZero.{u_3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u_3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u_3} A (Semiring.toNonAssocSemiring.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))))) (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : Finsupp.{u_1, u_3} (Module.Relations.G.{u_1, u_2, u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) A (MulZeroClass.toZero.{u_3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u_3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u_3} A (Semiring.toNonAssocSemiring.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))))) => LinearMap.{u_3, u_3, u_4, u_5} A A (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_3} A (Semiring.toNonAssocSemiring.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_5} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) (LinearMap.instFunLike.{u_3, u_3, max u_1 u_3, max u_4 u_5} A A (Finsupp.{u_1, u_3} (Module.Relations.G.{u_1, u_2, u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) A (MulZeroClass.toZero.{u_3} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u_3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u_3} A (Semiring.toNonAssocSemiring.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))))) (LinearMap.{u_3, u_3, u_4, u_5} A A (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_3} A (Semiring.toNonAssocSemiring.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_5} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (Finsupp.instAddCommMonoid.{u_1, u_3} (Module.Relations.G.{u_1, u_2, u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u_3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u_3} A (Semiring.toNonAssocSemiring.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))))) (AddCommGroup.toAddCommMonoid.{max u_4 u_5} (LinearMap.{u_3, u_3, u_4, u_5} A A (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_3} A (Semiring.toNonAssocSemiring.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_5} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) (LinearMap.addCommGroup.{u_3, u_3, u_4, u_5} A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 (RingHom.id.{u_3} A (Semiring.toNonAssocSemiring.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))))) (Finsupp.module.{u_1, u_3, u_3} (Module.Relations.G.{u_1, u_2, u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) A A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u_3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u_3} A (Semiring.toNonAssocSemiring.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))) (Semiring.toModule.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (LinearMap.module.{u_3, u_3, u_3, u_4, u_5} A A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_5} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 (RingHom.id.{u_3} A (Semiring.toNonAssocSemiring.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 (Module.Relations.Solution.isPresentationCoreTensor._proof_3.{u_3, u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48)) (RingHom.id.{u_3} A (Semiring.toNonAssocSemiring.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))) (Finsupp.linearCombination.{u_1, max u_4 u_5, u_3} (Module.Relations.G.{u_1, u_2, u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) (LinearMap.{u_3, u_3, u_4, u_5} A A (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_3} A (Semiring.toNonAssocSemiring.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_5} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{max u_4 u_5} (LinearMap.{u_3, u_3, u_4, u_5} A A (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_3} A (Semiring.toNonAssocSemiring.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_5} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) (LinearMap.addCommGroup.{u_3, u_3, u_4, u_5} A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 (RingHom.id.{u_3} A (Semiring.toNonAssocSemiring.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))))) (LinearMap.module.{u_3, u_3, u_3, u_4, u_5} A A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_5} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 (RingHom.id.{u_3} A (Semiring.toNonAssocSemiring.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 (Module.Relations.Solution.isPresentationCoreTensor._proof_3.{u_3, u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48)) (fun (g₁ : Module.Relations.G.{u_1, u_2, u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) => Module.Relations.Solution.IsPresentation.desc.{u_6, u_7, u_5, u_4, u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 solution₂ h₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 (Module.Relations.Solution.mk.{u_6, u_7, u_5, u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 (fun (g₂ : Module.Relations.G.{u_6, u_7, u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂) => Module.Relations.Solution.var.{max u_1 u_6, max (max (max u_1 u_2) u_6) u_7, u_5, u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) (Module.Relations.tensor.{u_1, u_2, u_6, u_7, u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 relations₁ relations₂) N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 s (Prod.mk.{u_1, u_6} (Module.Relations.G.{u_1, u_2, u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) (Module.Relations.G.{u_6, u_7, u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂) g₁ g₂)) (fun (r₂ : Module.Relations.R.{u_6, u_7, u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂) => Module.Relations.Solution.isPresentationCoreTensor._proof_1.{u_5, u_6, u_3, u_7, u_1, u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 relations₁ relations₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 s g₁ r₂)))) (Module.Relations.relation.{u_1, u_2, u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁ r₁)) (OfNat.ofNat.{max u_4 u_5} (LinearMap.{u_3, u_3, u_4, u_5} A A (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_3} A (Semiring.toNonAssocSemiring.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_5} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) 0 (Zero.toOfNat0.{max u_4 u_5} (LinearMap.{u_3, u_3, u_4, u_5} A A (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_3} A (Semiring.toNonAssocSemiring.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_5} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) (NegZeroClass.toZero.{max u_4 u_5} (LinearMap.{u_3, u_3, u_4, u_5} A A (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_3} A (Semiring.toNonAssocSemiring.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_5} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) (SubNegZeroMonoid.toNegZeroClass.{max u_4 u_5} (LinearMap.{u_3, u_3, u_4, u_5} A A (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_3} A (Semiring.toNonAssocSemiring.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_5} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) (SubtractionMonoid.toSubNegZeroMonoid.{max u_4 u_5} (LinearMap.{u_3, u_3, u_4, u_5} A A (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_3} A (Semiring.toNonAssocSemiring.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_5} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) (SubtractionCommMonoid.toSubtractionMonoid.{max u_4 u_5} (LinearMap.{u_3, u_3, u_4, u_5} A A (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_3} A (Semiring.toNonAssocSemiring.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_5} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) (AddCommGroup.toDivisionAddCommMonoid.{max u_4 u_5} (LinearMap.{u_3, u_3, u_4, u_5} A A (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_3} A (Semiring.toNonAssocSemiring.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_5} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) (LinearMap.addCommGroup.{u_3, u_3, u_4, u_5} A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_3} A (CommRing.toCommSemiring.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 (RingHom.id.{u_3} A (Semiring.toNonAssocSemiring.{u_3} A (Ring.toSemiring.{u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))))))))))","typeFull":"∀ {A : Type u_3} [inst : CommRing A] {M₂ : Type u_4} [inst_1 : AddCommGroup M₂] [inst_2 : Module A M₂]\n  {relations₁ : Module.Relations A} {relations₂ : Module.Relations A} {solution₂ : relations₂.Solution M₂}\n  (h₂ : solution₂.IsPresentation) {N : Type u_5} [inst_3 : AddCommGroup N] [inst_4 : Module A N]\n  (s : (relations₁.tensor relations₂).Solution N) (r₁ : relations₁.R),\n  (Finsupp.linearCombination A fun g₁ =>\n        h₂.desc { var := fun g₂ => s.var (g₁, g₂), linearCombination_var_relation := ⋯ })\n      (relations₁.relation r₁) =\n    0","typeReadable":"∀ {A : Type u_3} [inst : CommRing A] {M₂ : Type u_4} [inst_1 : AddCommGroup M₂] [inst_2 : Module A M₂]\n  {relations₁ : Module.Relations A} {relations₂ : Module.Relations A} {solution₂ : relations₂.Solution M₂}\n  (h₂ : solution₂.IsPresentation) {N : Type u_5} [inst_3 : AddCommGroup N] [inst_4 : Module A N]\n  (s : (relations₁.tensor relations₂).Solution N) (r₁ : relations₁.R),\n  (Finsupp.linearCombination A fun g₁ =>\n        h₂.desc { var := fun g₂ => s.var (g₁, g₂), linearCombination_var_relation := ⋯ })\n      (relations₁.relation r₁) =\n    0","typeReferences":[["SubtractionMonoid","toSubNegZeroMonoid"],["LinearMap","instFunLike"],["Prod","mk"],["Module"],["Module","Relations","Solution","IsPresentation"],["Module","Relations"],["SubtractionCommMonoid","toSubtractionMonoid"],["SubNegZeroMonoid","toNegZeroClass"],["DFunLike","coe"],["Module","Relations","Solution"],["Semiring","toNonAssocSemiring"],["RingHom","id"],["Module","Relations","G"],["Zero","toOfNat0"],["Module","Relations","Solution","isPresentationCoreTensor","_proof_1"],["Semiring","toModule"],["Eq"],["Finsupp","module"],["Module","Relations","Solution","IsPresentation","desc"],["CommRing","toCommSemiring"],["Module","Relations","Solution","isPresentationCoreTensor","_proof_3"],["Module","Relations","Solution","mk"],["LinearMap","module"],["CommSemiring","toSemiring"],["NonAssocSemiring","toNonUnitalNonAssocSemiring"],["NonUnitalNonAssocSemiring","toAddCommMonoid"],["Finsupp","linearCombination"],["AddCommGroup"],["CommRing"],["LinearMap"],["OfNat","ofNat"],["Module","Relations","R"],["Ring","toSemiring"],["Module","Relations","tensor"],["CommRing","toRing"],["Module","Relations","Solution","var"],["AddCommGroup","toDivisionAddCommMonoid"],["MulZeroClass","toZero"],["Module","Relations","relation"],["NonUnitalNonAssocSemiring","toMulZeroClass"],["NegZeroClass","toZero"],["AddCommGroup","toAddCommMonoid"],["LinearMap","addCommGroup"],["Finsupp","instAddCommMonoid"],["Finsupp"]],"valueReferences":[["SubtractionMonoid","toSubNegZeroMonoid"],["smulCommClass_self"],["LinearMap","instFunLike"],["CommMonoid","toMonoid"],["Prod","mk"],["Module","Relations","Solution","isPresentationCoreTensor","_proof_2"],["SubtractionCommMonoid","toSubtractionMonoid"],["AddCommMonoid","toAddMonoid"],["SubNegZeroMonoid","toNegZeroClass"],["DFunLike","coe"],["Semiring","toNonAssocSemiring"],["RingHom","id"],["Module","Relations","G"],["DistribMulAction","toMulAction"],["Zero","toOfNat0"],["Module","Relations","Solution","isPresentationCoreTensor","_proof_1"],["Semiring","toModule"],["Finsupp","module"],["Module","Relations","Solution","IsPresentation","desc"],["CommRing","toCommSemiring"],["Module","Relations","Solution","mk"],["CommSemiring","toSemiring"],["NonAssocSemiring","toNonUnitalNonAssocSemiring"],["NonUnitalNonAssocSemiring","toAddCommMonoid"],["LinearMap","module"],["Finsupp","linearCombination"],["LinearMap"],["OfNat","ofNat"],["CommSemiring","toCommMonoid"],["Ring","toSemiring"],["Module","Relations","tensor"],["CommRing","toRing"],["Module","Relations","Solution","IsPresentation","postcomp_injective"],["Module","toDistribMulAction"],["Module","Relations","Solution","var"],["AddCommGroup","toDivisionAddCommMonoid"],["MulZeroClass","toZero"],["Module","Relations","relation"],["NonUnitalNonAssocSemiring","toMulZeroClass"],["NegZeroClass","toZero"],["AddCommGroup","toAddCommMonoid"],["Finsupp","instAddCommMonoid"],["LinearMap","addCommGroup"],["Finsupp"]]},{"isProp":true,"kind":"theorem","name":["Module","Presentation","tensor_G"],"typeFallback":"forall 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inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂) => Module.Relations.Solution.var.{max u_5 u_2, max (max (max u_5 u_6) u_2) u_4, u_1, u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) (Module.Relations.tensor.{u_5, u_6, u_2, u_4, u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 relations₁ relations₂) N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 s (Prod.mk.{u_5, u_2} (Module.Relations.G.{u_5, u_6, u_3} A (CommRing.toRing.{u_3} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) (Module.Relations.G.{u_2, u_4, 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N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47)))))))","typeFull":"∀ {A : Type u_3} [inst : CommRing A] {relations₁ : Module.Relations A} {relations₂ : Module.Relations A} {N : Type u_1}\n  [inst_1 : AddCommGroup N] [inst_2 : Module A N] (s : (relations₁.tensor relations₂).Solution N) (g₁ : relations₁.G)\n  (r₂ : relations₂.R), (Finsupp.linearCombination A fun g₂ => s.var (g₁, g₂)) (relations₂.relation r₂) = 0","typeReadable":"∀ {A : Type u_3} [inst : CommRing A] {relations₁ : Module.Relations A} {relations₂ : Module.Relations A} {N : Type u_1}\n  [inst_1 : AddCommGroup N] [inst_2 : Module A N] (s : (relations₁.tensor relations₂).Solution N) (g₁ : relations₁.G)\n  (r₂ : relations₂.R), (Finsupp.linearCombination A fun g₂ => s.var (g₁, g₂)) (relations₂.relation r₂) = 0","typeReferences":[["SubtractionMonoid","toSubNegZeroMonoid"],["LinearMap","instFunLike"],["Prod","mk"],["Module"],["Module","Relations"],["SubtractionCommMonoid","toSubtractionMonoid"],["SubNegZeroMonoid","toNegZeroClass"],["DFunLike","coe"],["Module","Relations","Solution"],["Semiring","toNonAssocSemiring"],["RingHom","id"],["Module","Relations","G"],["Zero","toOfNat0"],["Eq"],["Semiring","toModule"],["Finsupp","module"],["NonAssocSemiring","toNonUnitalNonAssocSemiring"],["NonUnitalNonAssocSemiring","toAddCommMonoid"],["Finsupp","linearCombination"],["AddCommGroup"],["CommRing"],["LinearMap"],["OfNat","ofNat"],["Module","Relations","R"],["Ring","toSemiring"],["Module","Relations","tensor"],["CommRing","toRing"],["Module","Relations","Solution","var"],["AddCommGroup","toDivisionAddCommMonoid"],["MulZeroClass","toZero"],["Module","Relations","relation"],["NonUnitalNonAssocSemiring","toMulZeroClass"],["NegZeroClass","toZero"],["AddCommGroup","toAddCommMonoid"],["Finsupp","instAddCommMonoid"],["Finsupp"]],"valueReferences":[["SubtractionMonoid","toSubNegZeroMonoid"],["LinearMap","instFunLike"],["Prod","mk"],["Function","Embedding","sectR"],["SubtractionCommMonoid","toSubtractionMonoid"],["SubNegZeroMonoid","toNegZeroClass"],["DFunLike","coe"],["congrArg"],["Semiring","toNonAssocSemiring"],["RingHom","id"],["Module","Relations","Solution","linearCombination_var_relation"],["Module","Relations","G"],["Finsupp","linearCombination_embDomain"],["Eq","symm"],["Zero","toOfNat0"],["Function","instFunLikeEmbedding"],["Eq"],["Semiring","toModule"],["Finsupp","module"],["CommRing","toCommSemiring"],["Function","Embedding"],["CommSemiring","toSemiring"],["NonAssocSemiring","toNonUnitalNonAssocSemiring"],["NonUnitalNonAssocSemiring","toAddCommMonoid"],["Finsupp","linearCombination"],["Function","comp"],["LinearMap"],["Finsupp","embDomain"],["Module","Relations","R"],["OfNat","ofNat"],["Ring","toSemiring"],["Prod"],["CommRing","toRing"],["Module","Relations","tensor"],["Module","Relations","Solution","var"],["AddCommGroup","toDivisionAddCommMonoid"],["MulZeroClass","toZero"],["Module","Relations","relation"],["NonUnitalNonAssocSemiring","toMulZeroClass"],["id"],["NegZeroClass","toZero"],["AddCommGroup","toAddCommMonoid"],["Eq","mpr"],["Finsupp","instAddCommMonoid"],["Sum","inr"],["Finsupp"]]},{"isProp":true,"kind":"theorem","name":["Module","Relations","Solution","isPresentationCoreTensor","_proof_4"],"typeFallback":"forall {A : Type.{u_1}} [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 : CommRing.{u_1} A] {M₂ : Type.{u_3}} [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11 : AddCommGroup.{u_3} M₂] [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 : Module.{u_1, u_3} A M₂ (CommSemiring.toSemiring.{u_1} A (CommRing.toCommSemiring.{u_1} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_3} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11)] {N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 : Type.{u_2}} [inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47 : AddCommGroup.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46] [inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 : Module.{u_1, u_2} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (Ring.toSemiring.{u_1} A (CommRing.toRing.{u_1} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47)], SMulCommClass.{u_1, u_1, max u_2 u_3} A A (LinearMap.{u_1, u_1, u_3, u_2} A A (CommSemiring.toSemiring.{u_1} A (CommRing.toCommSemiring.{u_1} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_1} A (CommRing.toCommSemiring.{u_1} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_1} A (Semiring.toNonAssocSemiring.{u_1} A (Ring.toSemiring.{u_1} A (CommRing.toRing.{u_1} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_3} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) (LinearMap.instSMul.{u_1, u_1, u_1, u_3, u_2} A A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommSemiring.toSemiring.{u_1} A (CommRing.toCommSemiring.{u_1} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_1} A (CommRing.toCommSemiring.{u_1} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_3} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 (RingHom.id.{u_1} A (Semiring.toNonAssocSemiring.{u_1} A (Ring.toSemiring.{u_1} A (CommRing.toRing.{u_1} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (DistribMulAction.toDistribSMul.{u_1, u_2} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (MonoidWithZero.toMonoid.{u_1} A (Semiring.toMonoidWithZero.{u_1} A (CommSemiring.toSemiring.{u_1} A (CommRing.toCommSemiring.{u_1} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (AddCommMonoid.toAddMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47)) (Module.toDistribMulAction.{u_1, u_2} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommSemiring.toSemiring.{u_1} A (CommRing.toCommSemiring.{u_1} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48)) (Module.Relations.Solution.isPresentationCoreTensor._proof_3.{u_1, u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48)) (LinearMap.instSMul.{u_1, u_1, u_1, u_3, u_2} A A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommSemiring.toSemiring.{u_1} A (CommRing.toCommSemiring.{u_1} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_1} A (CommRing.toCommSemiring.{u_1} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_3} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 (RingHom.id.{u_1} A (Semiring.toNonAssocSemiring.{u_1} A (Ring.toSemiring.{u_1} A (CommRing.toRing.{u_1} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (DistribMulAction.toDistribSMul.{u_1, u_2} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (MonoidWithZero.toMonoid.{u_1} A (Semiring.toMonoidWithZero.{u_1} A (CommSemiring.toSemiring.{u_1} A (CommRing.toCommSemiring.{u_1} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (AddCommMonoid.toAddMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47)) (Module.toDistribMulAction.{u_1, u_2} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommSemiring.toSemiring.{u_1} A (CommRing.toCommSemiring.{u_1} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48)) (Module.Relations.Solution.isPresentationCoreTensor._proof_3.{u_1, u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48))","typeFull":"∀ {A : Type u_1} [inst : CommRing A] {M₂ : Type u_3} [inst_1 : AddCommGroup M₂] [inst_2 : Module A M₂] {N : Type u_2}\n  [inst_3 : AddCommGroup N] [inst_4 : Module A N], SMulCommClass A A (M₂ →ₗ[A] N)","typeReadable":"∀ {A : Type u_1} [inst : CommRing A] {M₂ : Type u_3} [inst_1 : AddCommGroup M₂] [inst_2 : Module A M₂] {N : Type u_2}\n  [inst_3 : AddCommGroup N] [inst_4 : Module A N], SMulCommClass A A (M₂ →ₗ[A] N)","typeReferences":[["CommRing","toCommSemiring"],["Module","Relations","Solution","isPresentationCoreTensor","_proof_3"],["Module"],["CommSemiring","toSemiring"],["DistribMulAction","toDistribSMul"],["Semiring","toMonoidWithZero"],["AddCommGroup"],["AddCommMonoid","toAddMonoid"],["CommRing"],["LinearMap"],["Ring","toSemiring"],["CommRing","toRing"],["SMulCommClass"],["Module","toDistribMulAction"],["Semiring","toNonAssocSemiring"],["RingHom","id"],["MonoidWithZero","toMonoid"],["AddCommGroup","toAddCommMonoid"],["LinearMap","instSMul"]],"valueReferences":[["smulCommClass_self"],["CommRing","toCommSemiring"],["CommMonoid","toMonoid"],["CommSemiring","toSemiring"],["DistribMulAction","toDistribSMul"],["Semiring","toMonoidWithZero"],["AddCommMonoid","toAddMonoid"],["CommSemiring","toCommMonoid"],["Ring","toSemiring"],["CommRing","toRing"],["Module","toDistribMulAction"],["Semiring","toNonAssocSemiring"],["RingHom","id"],["MonoidWithZero","toMonoid"],["DistribMulAction","toMulAction"],["AddCommGroup","toAddCommMonoid"],["LinearMap","instSMulCommClass"]]},{"isProp":true,"kind":"theorem","name":["Module","Presentation","tensor_relation"],"typeFallback":"forall {A : Type.{u}} [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3 : CommRing.{u} A] {M₁ : Type.{v₁}} {M₂ : Type.{v₂}} [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8 : AddCommGroup.{v₁} M₁] [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11 : AddCommGroup.{v₂} M₂] [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.14 : Module.{u, v₁} A M₁ (CommSemiring.toSemiring.{u} A (CommRing.toCommSemiring.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{v₁} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8)] [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.18 : Module.{u, v₂} A M₂ (CommSemiring.toSemiring.{u} A (CommRing.toCommSemiring.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{v₂} M₂ 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inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.18 pres₂)) => Finsupp.embDomain.{w₂₀, max w₁₀ w₂₀, u} (Module.Relations.G.{w₂₀, w₂₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) (Module.Presentation.toRelations.{w₂₀, w₂₁, v₂, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.18 pres₂)) (Prod.{w₁₀, w₂₀} (Module.Relations.G.{w₁��, w₁₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) (Module.Presentation.toRelations.{w₁₀, w₁₁, v₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.14 pres₁)) (Module.Relations.G.{w₂₀, w₂₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) (Module.Presentation.toRelations.{w₂₀, w₂₁, v₂, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.18 pres₂))) A (MulZeroClass.toZero.{u} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u} A (NonAssocRing.toNonUnitalNonAssocRing.{u} A (Ring.toNonAssocRing.{u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3)))))) (Function.Embedding.sectR.{w₁₀, w₂₀} (Module.Relations.G.{w₁₀, w₁₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) (Module.Presentation.toRelations.{w₁₀, w₁₁, v₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.14 pres₁)) g₁ (Module.Relations.G.{w₂₀, w₂₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) (Module.Presentation.toRelations.{w₂₀, w₂₁, v₂, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.18 pres₂))) (Module.Relations.relation.{w₂₀, w₂₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) (Module.Presentation.toRelations.{w₂₀, w₂₁, v₂, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.18 pres₂) r₂)))","typeFull":"∀ {A : Type u} [inst : CommRing A] {M₁ : Type v₁} {M₂ : Type v₂} [inst_1 : AddCommGroup M₁] [inst_2 : AddCommGroup M₂]\n  [inst_3 : Module A M₁] [inst_4 : Module A M₂] (pres₁ : Module.Presentation A M₁) (pres₂ : Module.Presentation A M₂)\n  (x : pres₁.R × pres₂.G ⊕ pres₁.G × pres₂.R),\n  (pres₁.tensor pres₂).relation x =\n    match x with\n    | Sum.inl (r₁, g₂) => Finsupp.embDomain (Function.Embedding.sectL pres₁.G g₂) (pres₁.relation r₁)\n    | Sum.inr (g₁, r₂) => Finsupp.embDomain (Function.Embedding.sectR g₁ pres₂.G) (pres₂.relation r₂)","typeReadable":"∀ {A : Type u} [inst : CommRing A] {M₁ : Type v₁} {M₂ : Type v₂} [inst_1 : AddCommGroup M₁] [inst_2 : AddCommGroup M₂]\n  [inst_3 : Module A M₁] [inst_4 : Module A M₂] (pres₁ : Module.Presentation A M₁) (pres₂ : Module.Presentation A M₂)\n  (x : pres₁.R × pres₂.G ⊕ pres₁.G × pres₂.R),\n  (pres₁.tensor pres₂).relation x =\n    match x with\n    | Sum.inl (r₁, g₂) => Finsupp.embDomain (Function.Embedding.sectL pres₁.G g₂) (pres₁.relation r₁)\n    | Sum.inr (g₁, r₂) => Finsupp.embDomain (Function.Embedding.sectR g₁ pres₂.G) (pres₂.relation r₂)","typeReferences":[["Module","Relations","tensor","match_1"],["Ring","toNonAssocRing"],["Module"],["Function","Embedding","sectR"],["TensorProduct","instModule"],["NonUnitalNonAssocRing","toNonUnitalNonAssocSemiring"],["Module","Relations","G"],["Eq"],["NonAssocRing","toNonUnitalNonAssocRing"],["Module","Presentation","tensor"],["Function","Embedding","sectL"],["CommRing","toCommSemiring"],["TensorProduct"],["CommSemiring","toSemiring"],["AddCommGroup"],["CommRing"],["Finsupp","embDomain"],["Module","Presentation","toRelations"],["Module","Relations","R"],["Sum"],["Prod"],["Module","Presentation"],["CommRing","toRing"],["MulZeroClass","toZero"],["Module","Relations","relation"],["NonUnitalNonAssocSemiring","toMulZeroClass"],["TensorProduct","addCommGroup"],["AddCommGroup","toAddCommMonoid"],["Finsupp"]],"valueReferences":[["Module","Presentation","tensor"],["CommRing","toCommSemiring"],["TensorProduct"],["Ring","toNonAssocRing"],["Module","Presentation","toRelations"],["TensorProduct","instModule"],["Prod"],["CommRing","toRing"],["NonUnitalNonAssocRing","toNonUnitalNonAssocSemiring"],["MulZeroClass","toZero"],["Eq","refl"],["Module","Relations","relation"],["TensorProduct","addCommGroup"],["Module","Relations","G"],["NonUnitalNonAssocSemiring","toMulZeroClass"],["AddCommGroup","toAddCommMonoid"],["Finsupp"],["NonAssocRing","toNonUnitalNonAssocRing"]]},{"isProp":true,"kind":"theorem","name":["Module","Relations","Solution","isPresentationCoreTensor","_proof_6"],"typeFallback":"forall {A : Type.{u_5}} [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 : CommRing.{u_5} A] {M₁ : Type.{u_6}} {M₂ : Type.{u_1}} [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8 : AddCommGroup.{u_6} M₁] [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11 : AddCommGroup.{u_1} M₂] [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 : Module.{u_5, u_6} A M₁ (CommSemiring.toSemiring.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_6} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8)] [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 : Module.{u_5, u_1} A M₂ (CommSemiring.toSemiring.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11)] {relations₁ : Module.Relations.{u_3, u_4, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)} {relations₂ : Module.Relations.{u_7, u_8, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)} {solution₁ : Module.Relations.Solution.{u_3, u_4, u_6, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁ M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14} {solution₂ : Module.Relations.Solution.{u_7, u_8, u_1, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18}, (Module.Relations.Solution.IsPresentation.{u_7, u_8, u_1, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 solution₂) -> (forall {N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 : Type.{u_2}} [inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101 : AddCommGroup.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100] [inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.75.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.102 : Module.{u_5, u_2} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (Ring.toSemiring.{u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101)] {f._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.103 : LinearMap.{u_5, u_5, max u_6 u_1, u_2} A A (Ring.toSemiring.{u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (Ring.toSemiring.{u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_5} A (Semiring.toNonAssocSemiring.{u_5} A (Ring.toSemiring.{u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (TensorProduct.{u_5, u_6, u_1} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_6} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_1} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (AddCommGroup.toAddCommMonoid.{max u_6 u_1} (TensorProduct.{u_5, u_6, u_1} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_6} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_1} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) (TensorProduct.addCommGroup.{u_5, u_6, u_1} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8 (AddCommGroup.toAddCommMonoid.{u_1} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18)) (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101) (TensorProduct.instModule.{u_5, u_6, u_1} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_6} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_1} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.75.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.102} {f'._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.104 : LinearMap.{u_5, u_5, max u_6 u_1, u_2} A A (Ring.toSemiring.{u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (Ring.toSemiring.{u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_5} A (Semiring.toNonAssocSemiring.{u_5} A (Ring.toSemiring.{u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (TensorProduct.{u_5, u_6, u_1} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_6} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_1} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (AddCommGroup.toAddCommMonoid.{max u_6 u_1} (TensorProduct.{u_5, u_6, u_1} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_6} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_1} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) (TensorProduct.addCommGroup.{u_5, u_6, u_1} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8 (AddCommGroup.toAddCommMonoid.{u_1} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18)) (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101) (TensorProduct.instModule.{u_5, u_6, u_1} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_6} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_1} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.75.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.102}, (Eq.{max (succ u_2) (succ (max u_3 u_7))} (Module.Relations.Solution.{max u_3 u_7, max (max (max u_3 u_4) u_7) u_8, u_2, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) (Module.Relations.tensor.{u_3, u_4, u_7, u_8, u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 relations₁ relations₂) N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.75.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.102) (Module.Relations.Solution.postcomp.{max u_3 u_7, max (max (max u_3 u_4) u_7) u_8, u_2, max u_6 u_1, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) (Module.Relations.tensor.{u_3, u_4, u_7, u_8, u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 relations₁ relations₂) (TensorProduct.{u_5, u_6, u_1} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_6} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_1} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) (TensorProduct.addCommGroup.{u_5, u_6, u_1} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8 (AddCommGroup.toAddCommMonoid.{u_1} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) (TensorProduct.instModule.{u_5, u_6, u_1} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_6} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_1} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) (Module.Relations.Solution.tensor.{u_3, u_4, u_7, u_8, u_5, u_6, u_1} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 M₁ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 relations₁ relations₂ solution₁ solution₂) N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.75.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.102 f._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.103) (Module.Relations.Solution.postcomp.{max u_3 u_7, max (max (max u_3 u_4) u_7) u_8, u_2, max u_6 u_1, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) (Module.Relations.tensor.{u_3, u_4, u_7, u_8, u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 relations₁ relations₂) (TensorProduct.{u_5, u_6, u_1} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_6} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_1} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) (TensorProduct.addCommGroup.{u_5, u_6, u_1} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8 (AddCommGroup.toAddCommMonoid.{u_1} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) (TensorProduct.instModule.{u_5, u_6, u_1} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_6} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_1} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) (Module.Relations.Solution.tensor.{u_3, u_4, u_7, u_8, u_5, u_6, u_1} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 M₁ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 relations₁ relations₂ solution₁ solution₂) N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.75.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.102 f'._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.104)) -> (Eq.{max (succ (max u_1 u_2)) (succ u_3)} (Module.Relations.Solution.{u_3, u_4, max u_1 u_2, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁ (LinearMap.{u_5, u_5, u_1, u_2} A A (CommSemiring.toSemiring.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_5} A (Semiring.toNonAssocSemiring.{u_5} A (Ring.toSemiring.{u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (AddCommGroup.toAddCommMonoid.{u_1} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.75.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.102) (LinearMap.addCommGroup.{u_5, u_5, u_1, u_2} A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (CommSemiring.toSemiring.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.75.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.102 (RingHom.id.{u_5} A (Semiring.toNonAssocSemiring.{u_5} A (Ring.toSemiring.{u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))) (LinearMap.module.{u_5, u_5, u_5, u_1, u_2} A A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (CommSemiring.toSemiring.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.75.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.102 (RingHom.id.{u_5} A (Semiring.toNonAssocSemiring.{u_5} A (Ring.toSemiring.{u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (CommSemiring.toSemiring.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.75.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.102 (smulCommClass_self.{u_5, u_2} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (CommSemiring.toCommMonoid.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (DistribMulAction.toMulAction.{u_5, u_2} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (CommMonoid.toMonoid.{u_5} A (CommSemiring.toCommMonoid.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (AddCommMonoid.toAddMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101)) (Module.toDistribMulAction.{u_5, u_2} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (CommSemiring.toSemiring.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.75.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.102))))) (Module.Relations.Solution.postcomp.{u_3, u_4, max u_1 u_2, u_6, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁ M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 solution₁ (LinearMap.{u_5, u_5, u_1, u_2} A A (CommSemiring.toSemiring.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_5} A (Semiring.toNonAssocSemiring.{u_5} A (Ring.toSemiring.{u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (AddCommGroup.toAddCommMonoid.{u_1} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.75.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.102) (LinearMap.addCommGroup.{u_5, u_5, u_1, u_2} A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (CommSemiring.toSemiring.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.75.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.102 (RingHom.id.{u_5} A (Semiring.toNonAssocSemiring.{u_5} A (Ring.toSemiring.{u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))) (LinearMap.module.{u_5, u_5, u_5, u_1, u_2} A A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (CommSemiring.toSemiring.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.75.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.102 (RingHom.id.{u_5} A (Semiring.toNonAssocSemiring.{u_5} A (Ring.toSemiring.{u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (CommSemiring.toSemiring.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.75.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.102 (smulCommClass_self.{u_5, u_2} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (CommSemiring.toCommMonoid.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (DistribMulAction.toMulAction.{u_5, u_2} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (CommMonoid.toMonoid.{u_5} A (CommSemiring.toCommMonoid.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (AddCommMonoid.toAddMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101)) (Module.toDistribMulAction.{u_5, u_2} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (CommSemiring.toSemiring.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.75.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.102)))) (TensorProduct.curry.{u_5, u_5, u_6, u_1, u_2} A A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) (RingHom.id.{u_5} A (Semiring.toNonAssocSemiring.{u_5} A (Ring.toSemiring.{u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₁ M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (AddCommGroup.toAddCommMonoid.{u_6} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_1} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.75.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.102 f._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.103)) (Module.Relations.Solution.postcomp.{u_3, u_4, max u_1 u_2, u_6, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁ M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 solution₁ (LinearMap.{u_5, u_5, u_1, u_2} A A (CommSemiring.toSemiring.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_5} A (Semiring.toNonAssocSemiring.{u_5} A (Ring.toSemiring.{u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (AddCommGroup.toAddCommMonoid.{u_1} M��� inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.75.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.102) (LinearMap.addCommGroup.{u_5, u_5, u_1, u_2} A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (CommSemiring.toSemiring.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.75.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.102 (RingHom.id.{u_5} A (Semiring.toNonAssocSemiring.{u_5} A (Ring.toSemiring.{u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))) (LinearMap.module.{u_5, u_5, u_5, u_1, u_2} A A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (CommSemiring.toSemiring.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.75.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.102 (RingHom.id.{u_5} A (Semiring.toNonAssocSemiring.{u_5} A (Ring.toSemiring.{u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (CommSemiring.toSemiring.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.75.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.102 (smulCommClass_self.{u_5, u_2} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (CommSemiring.toCommMonoid.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (DistribMulAction.toMulAction.{u_5, u_2} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (CommMonoid.toMonoid.{u_5} A (CommSemiring.toCommMonoid.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (AddCommMonoid.toAddMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101)) (Module.toDistribMulAction.{u_5, u_2} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (CommSemiring.toSemiring.{u_5} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.75.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.102)))) (TensorProduct.curry.{u_5, u_5, u_6, u_1, u_2} A A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) (RingHom.id.{u_5} A (Semiring.toNonAssocSemiring.{u_5} A (Ring.toSemiring.{u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₁ M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (AddCommGroup.toAddCommMonoid.{u_6} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_1} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.75.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.102 f'._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.104))))","typeFull":"∀ {A : Type u_5} [inst : CommRing A] {M₁ : Type u_6} {M₂ : Type u_1} [inst_1 : AddCommGroup M₁]\n  [inst_2 : AddCommGroup M₂] [inst_3 : Module A M₁] [inst_4 : Module A M₂] {relations₁ : Module.Relations A}\n  {relations₂ : Module.Relations A} {solution₁ : relations₁.Solution M₁} {solution₂ : relations₂.Solution M₂},\n  solution₂.IsPresentation →\n    ∀ {N : Type u_2} [inst_5 : AddCommGroup N] [inst_6 : Module A N] {f f' : TensorProduct A M₁ M₂ →ₗ[A] N},\n      (solution₁.tensor solution₂).postcomp f = (solution₁.tensor solution₂).postcomp f' →\n        solution₁.postcomp (TensorProduct.curry f) = solution₁.postcomp (TensorProduct.curry f')","typeReadable":"∀ {A : Type u_5} [inst : CommRing A] {M₁ : Type u_6} {M₂ : Type u_1} [inst_1 : AddCommGroup M₁]\n  [inst_2 : AddCommGroup M₂] [inst_3 : Module A M₁] [inst_4 : Module A M₂] {relations₁ : Module.Relations A}\n  {relations₂ : Module.Relations A} {solution₁ : relations₁.Solution M₁} {solution₂ : relations₂.Solution M₂},\n  solution₂.IsPresentation →\n    ∀ {N : Type u_2} [inst_5 : AddCommGroup N] [inst_6 : Module A N] {f f' : TensorProduct A M₁ M₂ →ₗ[A] N},\n      (solution₁.tensor solution₂).postcomp f = (solution₁.tensor solution₂).postcomp f' →\n        solution₁.postcomp (TensorProduct.curry f) = solution₁.postcomp (TensorProduct.curry 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{A : Type.{u_4}} [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 : CommRing.{u_4} A] {M₂ : Type.{u_5}} [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11 : AddCommGroup.{u_5} M₂] [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 : Module.{u_4, u_5} A M₂ (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_5} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11)] {relations₁ : Module.Relations.{u_6, u_7, u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)} {relations₂ : Module.Relations.{u_2, u_3, u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)} {solution₂ : Module.Relations.Solution.{u_2, u_3, u_5, u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18} (h₂ : Module.Relations.Solution.IsPresentation.{u_2, u_3, u_5, u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 solution₂) {N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 : Type.{u_1}} [inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47 : AddCommGroup.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46] 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inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) (Finsupp.instAddCommMonoid.{u_6, u_4} (Module.Relations.G.{u_6, u_7, u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u_4} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u_4} A (Semiring.toNonAssocSemiring.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))))) (AddCommGroup.toAddCommMonoid.{max u_5 u_1} (LinearMap.{u_4, u_4, u_5, u_1} A A (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_4} A (Semiring.toNonAssocSemiring.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_5} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) (LinearMap.addCommGroup.{u_4, u_4, u_5, u_1} A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_5} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 (RingHom.id.{u_4} A (Semiring.toNonAssocSemiring.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A 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(CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_5} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 (RingHom.id.{u_4} A (Semiring.toNonAssocSemiring.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 (smulCommClass_self.{u_4, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommSemiring.toCommMonoid.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (DistribMulAction.toMulAction.{u_4, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommMonoid.toMonoid.{u_4} A (CommSemiring.toCommMonoid.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (AddCommMonoid.toAddMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47)) (Module.toDistribMulAction.{u_4, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48))))) (Finsupp.{u_6, u_4} (Module.Relations.G.{u_6, u_7, u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) A (MulZeroClass.toZero.{u_4} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u_4} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u_4} A (Semiring.toNonAssocSemiring.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))))) (fun (x._@.Mathlib.Data.FunLike.Basic.2582841819._hygCtx._hyg.11 : Finsupp.{u_6, u_4} (Module.Relations.G.{u_6, u_7, u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) A (MulZeroClass.toZero.{u_4} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u_4} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u_4} A (Semiring.toNonAssocSemiring.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))))) => LinearMap.{u_4, u_4, u_5, u_1} A A (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_4} A (Semiring.toNonAssocSemiring.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_5} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) (LinearMap.instFunLike.{u_4, u_4, max u_6 u_4, max u_5 u_1} A A (Finsupp.{u_6, u_4} (Module.Relations.G.{u_6, u_7, u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) A (MulZeroClass.toZero.{u_4} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u_4} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u_4} A (Semiring.toNonAssocSemiring.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))))) (LinearMap.{u_4, u_4, u_5, u_1} A A (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_4} A (Semiring.toNonAssocSemiring.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_5} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (Finsupp.instAddCommMonoid.{u_6, u_4} (Module.Relations.G.{u_6, u_7, u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u_4} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u_4} A (Semiring.toNonAssocSemiring.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))))) (AddCommGroup.toAddCommMonoid.{max u_5 u_1} (LinearMap.{u_4, u_4, u_5, u_1} A A (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_4} A (Semiring.toNonAssocSemiring.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_5} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) (LinearMap.addCommGroup.{u_4, u_4, u_5, u_1} A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_5} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 (RingHom.id.{u_4} A (Semiring.toNonAssocSemiring.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))))) (Finsupp.module.{u_6, u_4, u_4} (Module.Relations.G.{u_6, u_7, u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) A A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u_4} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u_4} A (Semiring.toNonAssocSemiring.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))) (Semiring.toModule.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (LinearMap.module.{u_4, u_4, u_4, u_5, u_1} A A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_5} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 (RingHom.id.{u_4} A (Semiring.toNonAssocSemiring.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 (smulCommClass_self.{u_4, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommSemiring.toCommMonoid.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (DistribMulAction.toMulAction.{u_4, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommMonoid.toMonoid.{u_4} A (CommSemiring.toCommMonoid.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (AddCommMonoid.toAddMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47)) (Module.toDistribMulAction.{u_4, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48)))) (RingHom.id.{u_4} A (Semiring.toNonAssocSemiring.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))))) (Finsupp.linearCombination.{u_6, max u_5 u_1, u_4} (Module.Relations.G.{u_6, u_7, u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) (LinearMap.{u_4, u_4, u_5, u_1} A A (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_4} A (Semiring.toNonAssocSemiring.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_5} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{max u_5 u_1} (LinearMap.{u_4, u_4, u_5, u_1} A A (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_4} A (Semiring.toNonAssocSemiring.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_5} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) (LinearMap.addCommGroup.{u_4, u_4, u_5, u_1} A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_5} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 (RingHom.id.{u_4} A (Semiring.toNonAssocSemiring.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))))) (LinearMap.module.{u_4, u_4, u_4, u_5, u_1} A A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_5} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 (RingHom.id.{u_4} A (Semiring.toNonAssocSemiring.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 (smulCommClass_self.{u_4, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommSemiring.toCommMonoid.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (DistribMulAction.toMulAction.{u_4, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommMonoid.toMonoid.{u_4} A (CommSemiring.toCommMonoid.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (AddCommMonoid.toAddMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47)) (Module.toDistribMulAction.{u_4, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48)))) (fun (g₁ : Module.Relations.G.{u_6, u_7, u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) => Module.Relations.Solution.IsPresentation.desc.{u_2, u_3, u_1, u_5, u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 solution₂ h₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 (Module.Relations.Solution.mk.{u_2, u_3, u_1, u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 (fun (g₂ : Module.Relations.G.{u_2, u_3, u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂) => Module.Relations.Solution.var.{max u_6 u_2, max (max (max u_6 u_7) u_2) u_3, u_1, u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) (Module.Relations.tensor.{u_6, u_7, u_2, u_3, u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 relations₁ relations₂) N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 s (Prod.mk.{u_6, u_2} (Module.Relations.G.{u_6, u_7, u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁) (Module.Relations.G.{u_2, u_3, u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂) g₁ g₂)) (fun (r₂ : Module.Relations.R.{u_2, u_3, u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂) => Module.Relations.Solution.isPresentationCoreTensor._proof_1.{u_1, u_2, u_4, u_3, u_6, u_7} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 relations₁ relations₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 s g₁ r₂)))) (Module.Relations.relation.{u_6, u_7, u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁ r₁))) (Module.Relations.Solution.postcomp.{u_2, u_3, u_1, u_5, u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 solution₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 (OfNat.ofNat.{max u_5 u_1} (LinearMap.{u_4, u_4, u_5, u_1} A A (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_4} A (Semiring.toNonAssocSemiring.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_5} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) 0 (Zero.toOfNat0.{max u_5 u_1} (LinearMap.{u_4, u_4, u_5, u_1} A A (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_4} A (Semiring.toNonAssocSemiring.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_5} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) (NegZeroClass.toZero.{max u_5 u_1} (LinearMap.{u_4, u_4, u_5, u_1} A A (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_4} A (Semiring.toNonAssocSemiring.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_5} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) (SubNegZeroMonoid.toNegZeroClass.{max u_5 u_1} (LinearMap.{u_4, u_4, u_5, u_1} A A (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_4} A (Semiring.toNonAssocSemiring.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_5} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) (SubtractionMonoid.toSubNegZeroMonoid.{max u_5 u_1} (LinearMap.{u_4, u_4, u_5, u_1} A A (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_4} A (Semiring.toNonAssocSemiring.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_5} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) (SubtractionCommMonoid.toSubtractionMonoid.{max u_5 u_1} (LinearMap.{u_4, u_4, u_5, u_1} A A (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_4} A (Semiring.toNonAssocSemiring.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_5} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) (AddCommGroup.toDivisionAddCommMonoid.{max u_5 u_1} (LinearMap.{u_4, u_4, u_5, u_1} A A (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_4} A (Semiring.toNonAssocSemiring.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_5} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48) (LinearMap.addCommGroup.{u_4, u_4, u_5, u_1} A A M₂ N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (CommSemiring.toSemiring.{u_4} A (CommRing.toCommSemiring.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_5} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 (RingHom.id.{u_4} A (Semiring.toNonAssocSemiring.{u_4} A (Ring.toSemiring.{u_4} A (CommRing.toRing.{u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))))))))))))","typeFull":"∀ {A : Type u_4} [inst : CommRing A] {M₂ : Type u_5} [inst_1 : AddCommGroup M₂] [inst_2 : Module A M₂]\n  {relations₁ : Module.Relations A} {relations₂ : Module.Relations A} {solution₂ : relations₂.Solution M₂}\n  (h₂ : solution₂.IsPresentation) {N : Type u_1} [inst_3 : AddCommGroup N] [inst_4 : Module A N]\n  (s : (relations₁.tensor relations₂).Solution N) (r₁ : relations₁.R),\n  solution₂.postcomp\n      ((Finsupp.linearCombination A fun g₁ =>\n          h₂.desc { var := fun g₂ => s.var (g₁, g₂), linearCombination_var_relation := ⋯ })\n        (relations₁.relation r₁)) =\n    solution₂.postcomp 0","typeReadable":"∀ {A : Type u_4} [inst : CommRing A] {M₂ : Type u_5} [inst_1 : AddCommGroup M₂] [inst_2 : Module A M₂]\n  {relations₁ : Module.Relations A} {relations₂ : Module.Relations A} {solution₂ : relations₂.Solution M₂}\n  (h₂ : solution₂.IsPresentation) {N : Type u_1} [inst_3 : AddCommGroup N] [inst_4 : Module A N]\n  (s : (relations₁.tensor relations₂).Solution N) (r₁ : relations₁.R),\n  solution₂.postcomp\n      ((Finsupp.linearCombination A fun g₁ =>\n          h₂.desc { var := fun g₂ => s.var (g₁, g₂), linearCombination_var_relation := ⋯ })\n        (relations₁.relation r₁)) =\n    solution₂.postcomp 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{A : Type.{u}} [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3 : CommRing.{u} A] {M₁ : Type.{v₁}} {M₂ : Type.{v₂}} [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.8 : AddCommGroup.{v₁} M₁] [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.11 : AddCommGroup.{v₂} M₂] [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.14 : Module.{u, v₁} A M₁ (CommSemiring.toSemiring.{u} A (CommRing.toCommSemiring.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{v₁} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.8)] [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.18 : Module.{u, v₂} A M₂ (CommSemiring.toSemiring.{u} A (CommRing.toCommSemiring.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{v₂} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.11)] {relations₁ : Module.Relations.{w₁₀, w₁₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3)} {relations₂ : Module.Relations.{w₂₀, w₂₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3)}, (Module.Relations.Solution.{w₁₀, w₁₁, v₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3) relations₁ M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.8 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.14) -> (Module.Relations.Solution.{w₂₀, w₂₁, v₂, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3) relations₂ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.18) -> (Module.Relations.Solution.{max w₁₀ w₂₀, max (max (max w₁₀ w₁₁) w₂₀) w₂₁, max v₂ v₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3) (Module.Relations.tensor.{w₁₀, w₁₁, w₂₀, w₂₁, u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3 relations₁ relations₂) (TensorProduct.{u, v₁, v₂} A (CommRing.toCommSemiring.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{v₁} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{v₂} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.18) (TensorProduct.addCommGroup.{u, v₁, v₂} A (CommRing.toCommSemiring.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3) M₁ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.8 (AddCommGroup.toAddCommMonoid.{v₂} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.18) (TensorProduct.instModule.{u, v₁, v₂} A (CommRing.toCommSemiring.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{v₁} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{v₂} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.18))","typeFull":"{A : Type u} →\n  [inst : CommRing A] →\n    {M₁ : Type v₁} →\n      {M₂ : Type v₂} →\n        [inst_1 : AddCommGroup M₁] →\n          [inst_2 : AddCommGroup M₂] →\n            [inst_3 : Module A M₁] →\n              [inst_4 : Module A M₂] →\n                {relations₁ : Module.Relations A} →\n                  {relations₂ : Module.Relations A} →\n                    relations₁.Solution M₁ →\n                      relations₂.Solution M₂ → (relations₁.tensor relations₂).Solution (TensorProduct A M₁ M₂)","typeReadable":"{A : Type u} →\n  [inst : CommRing A] →\n    {M₁ : Type v₁} →\n      {M₂ : Type v₂} →\n        [inst_1 : AddCommGroup M₁] →\n          [inst_2 : AddCommGroup M₂] →\n            [inst_3 : Module A M₁] →\n              [inst_4 : Module A M₂] →\n                {relations₁ : Module.Relations A} →\n                  {relations₂ : Module.Relations A} →\n                    relations₁.Solution M₁ →\n                      relations₂.Solution M₂ → (relations₁.tensor relations₂).Solution (TensorProduct A M₁ M₂)","typeReferences":[["CommRing","toCommSemiring"],["TensorProduct"],["Module"],["CommSemiring","toSemiring"],["Module","Relations"],["AddCommGroup"],["CommRing"],["Module","Relations","Solution"],["TensorProduct","instModule"],["CommRing","toRing"],["Module","Relations","tensor"],["TensorProduct","addCommGroup"],["AddCommGroup","toAddCommMonoid"]],"valueReferences":[["Module","Relations","tensor"],["CommRing","toRing"],["CommRing","toCommSemiring"],["TensorProduct"],["Module","Relations","Solution","tensor","_proof_3"],["Module","Relations","Solution","var"],["Module","Relations","Solution","mk"],["Module","Relations","Solution","tensor","match_1"],["TensorProduct","addCommGroup"],["AddCommGroup","toAddCommMonoid"],["TensorProduct","tmul"],["TensorProduct","instModule"]]},{"isProp":false,"kind":"definition","name":["Module","Relations","Solution","isPresentationCoreTensor"],"typeFallback":"forall {A : Type.{u}} 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inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂)) (Prod.{u_4, u_3} (Module.Relations.G.{u_4, u_2, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) (Module.Relations.R.{u_1, u_3, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂)) (Prod.mk.{u_4, u_3} (Module.Relations.G.{u_4, u_2, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) (Module.Relations.R.{u_1, u_3, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂) g₁ r₂))) (Module.Relations.tensor.match_1.{u_1, u_2, u_3, u_4, u_5, u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3 relations₁ relations₂ motive (Sum.inr.{max u_2 u_1, max u_4 u_3} (Prod.{u_2, u_1} (Module.Relations.R.{u_4, u_2, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) (Module.Relations.G.{u_1, u_3, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂)) (Prod.{u_4, u_3} (Module.Relations.G.{u_4, u_2, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) (Module.Relations.R.{u_1, u_3, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂)) (Prod.mk.{u_4, u_3} (Module.Relations.G.{u_4, u_2, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) (Module.Relations.R.{u_1, u_3, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂) g₁ r₂)) h_1 h_2) (h_2 g₁ r₂)","typeFull":"∀ {A : Type u_5} [inst : CommRing A] (relations₁ : Module.Relations A) (relations₂ : Module.Relations A)\n  (motive : relations₁.R × relations₂.G ⊕ relations₁.G × relations₂.R → Sort u_6) (g₁ : relations₁.G)\n  (r₂ : relations₂.R) (h_1 : (r₁ : relations₁.R) → (g₂ : relations₂.G) → motive (Sum.inl (r₁, g₂)))\n  (h_2 : (g₁ : relations₁.G) → (r₂ : relations₂.R) → motive (Sum.inr (g₁, r₂))),\n  (match Sum.inr (g₁, r₂) with\n    | Sum.inl (r₁, g₂) => h_1 r₁ g₂\n    | Sum.inr (g₁, r₂) => h_2 g₁ r₂) =\n    h_2 g₁ r₂","typeReadable":"∀ {A : Type u_5} [inst : CommRing A] (relations₁ : Module.Relations A) (relations₂ : Module.Relations A)\n  (motive : relations₁.R × relations₂.G ⊕ relations₁.G × relations₂.R → Sort u_6) (g₁ : relations₁.G)\n  (r₂ : relations₂.R) (h_1 : (r₁ : relations₁.R) → (g₂ : relations₂.G) → motive (Sum.inl (r₁, g₂)))\n  (h_2 : (g₁ : relations₁.G) → (r₂ : relations₂.R) → motive (Sum.inr (g₁, r₂))),\n  (match Sum.inr (g₁, r₂) with\n    | Sum.inl (r₁, g₂) => h_1 r₁ g₂\n    | Sum.inr (g₁, r₂) => h_2 g₁ r₂) =\n    h_2 g₁ r₂","typeReferences":[["Prod"],["CommRing","toRing"],["Module","Relations","tensor","match_1"],["Sum","inl"],["Prod","mk"],["Module","Relations","G"],["Module","Relations"],["Eq"],["CommRing"],["Sum","inr"],["Module","Relations","R"],["Sum"]],"valueReferences":[["Prod"],["CommRing","toRing"],["Module","Relations","tensor","match_1"],["Prod","mk"],["Eq","refl"],["Module","Relations","G"],["Module","Relations","R"],["Sum","inr"]]},{"isProp":false,"kind":"definition","name":["Module","Relations","tensor"],"typeFallback":"forall {A : Type.{u}} [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3 : CommRing.{u} A], (Module.Relations.{w₁₀, w₁₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3)) -> (Module.Relations.{w₂₀, w₂₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3)) -> (Module.Relations.{max w₂₀ w₁₀, max (max w₂₁ w₁₀) w₂₀ w₁₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3))","typeFull":"{A : Type u} → [inst : CommRing A] → Module.Relations A → Module.Relations A → Module.Relations A","typeReadable":"{A : Type u} → [inst : CommRing A] → Module.Relations A → Module.Relations A → Module.Relations A","typeReferences":[["CommRing","toRing"],["Module","Relations"],["CommRing"]],"valueReferences":[["Function","Embedding","sectL"],["Module","Relations","tensor","match_1"],["Ring","toNonAssocRing"],["Function","Embedding","sectR"],["Finsupp","embDomain"],["Module","Relations","R"],["Sum"],["Prod"],["CommRing","toRing"],["NonUnitalNonAssocRing","toNonUnitalNonAssocSemiring"],["MulZeroClass","toZero"],["Module","Relations","relation"],["Module","Relations","G"],["NonUnitalNonAssocSemiring","toMulZeroClass"],["Module","Relations","mk"],["Finsupp"],["NonAssocRing","toNonUnitalNonAssocRing"]]},{"isProp":true,"kind":"theorem","name":["Module","Relations","tensor_relation"],"typeFallback":"forall {A : Type.{u}} [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3 : CommRing.{u} A] (relations₁ : Module.Relations.{w₁₀, w₁₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3)) (relations₂ : Module.Relations.{w₂₀, w₂₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3)) (x._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.31 : Sum.{max w₂₀ w₁₁, max w₂₁ w₁₀} (Prod.{w₁₁, w₂₀} (Module.Relations.R.{w₁₀, w₁₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) (Module.Relations.G.{w₂₀, w₂₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂)) (Prod.{w₁₀, w₂₁} (Module.Relations.G.{w₁₀, w₁₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) (Module.Relations.R.{w₂₀, w₂₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂))), Eq.{max (succ u) (succ (max w₂₀ w₁₀))} (Finsupp.{max w₂₀ w₁₀, u} (Prod.{w₁₀, w₂₀} (Module.Relations.G.{w₁₀, w₁₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) (Module.Relations.G.{w₂₀, w₂₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂)) A (MulZeroClass.toZero.{u} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u} A (NonAssocRing.toNonUnitalNonAssocRing.{u} A (Ring.toNonAssocRing.{u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3))))))) (Module.Relations.relation.{max w₂₀ w₁₀, max (max w₂₁ w₁₀) w₂₀ w₁₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) (Module.Relations.tensor.{w₁₀, w₁₁, w₂₀, w₂₁, u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3 relations₁ relations₂) x._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.31) (Module.Relations.tensor.match_1.{w₂₀, w₁₁, w₂₁, w₁₀, u, max (max (succ u) (succ w₁₀)) (succ w₂₀)} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3 relations₁ relations₂ (fun (x._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx.31.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.65 : Sum.{max w₂₀ w₁₁, max w₂₁ w₁₀} (Prod.{w₁₁, w₂₀} (Module.Relations.R.{w₁₀, w₁₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) (Module.Relations.G.{w₂₀, w₂₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂)) (Prod.{w₁₀, w₂₁} (Module.Relations.G.{w₁₀, w₁₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) (Module.Relations.R.{w₂₀, w₂₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂))) => Finsupp.{max w₂₀ w₁₀, u} (Prod.{w₁₀, w₂₀} (Module.Relations.G.{w₁₀, w₁₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) (Module.Relations.G.{w₂₀, w₂₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂)) A (MulZeroClass.toZero.{u} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u} A (NonAssocRing.toNonUnitalNonAssocRing.{u} A (Ring.toNonAssocRing.{u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3))))))) x._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.31 (fun (r₁ : Module.Relations.R.{w₁₀, w₁₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) (g₂ : Module.Relations.G.{w₂₀, w₂₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂) => Finsupp.embDomain.{w₁₀, max w₁₀ w₂₀, u} (Module.Relations.G.{w₁₀, w₁₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) (Prod.{w₁₀, w₂₀} (Module.Relations.G.{w₁₀, w₁₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) (Module.Relations.G.{w₂₀, w₂₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂)) A (MulZeroClass.toZero.{u} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u} A (NonAssocRing.toNonUnitalNonAssocRing.{u} A (Ring.toNonAssocRing.{u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3)))))) (Function.Embedding.sectL.{w₁₀, w₂₀} (Module.Relations.G.{w₁₀, w₁₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) (Module.Relations.G.{w₂₀, w₂₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂) g₂) (Module.Relations.relation.{w₁₀, w₁₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁ r₁)) (fun (g₁ : Module.Relations.G.{w₁₀, w₁₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) (r₂ : Module.Relations.R.{w₂₀, w₂₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂) => Finsupp.embDomain.{w₂₀, max w₁₀ w₂₀, u} (Module.Relations.G.{w₂₀, w₂₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂) (Prod.{w₁₀, w₂₀} (Module.Relations.G.{w₁₀, w₁₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) (Module.Relations.G.{w₂₀, w₂₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂)) A (MulZeroClass.toZero.{u} A (NonUnitalNonAssocSemiring.toMulZeroClass.{u} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u} A (NonAssocRing.toNonUnitalNonAssocRing.{u} A (Ring.toNonAssocRing.{u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3)))))) (Function.Embedding.sectR.{w₁₀, w₂₀} (Module.Relations.G.{w₁₀, w₁₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) g₁ (Module.Relations.G.{w₂₀, w₂₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂)) (Module.Relations.relation.{w₂₀, w₂₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂ r₂)))","typeFull":"∀ {A : Type u} [inst : CommRing A] (relations₁ : Module.Relations A) (relations₂ : Module.Relations A)\n  (x : relations₁.R × relations₂.G ⊕ relations₁.G × relations₂.R),\n  (relations₁.tensor relations₂).relation x =\n    match x with\n    | Sum.inl (r₁, g₂) => Finsupp.embDomain (Function.Embedding.sectL relations₁.G g₂) (relations₁.relation r₁)\n    | Sum.inr (g₁, r₂) => Finsupp.embDomain (Function.Embedding.sectR g₁ relations₂.G) (relations₂.relation r₂)","typeReadable":"∀ {A : Type u} [inst : CommRing A] (relations₁ : Module.Relations A) (relations₂ : Module.Relations A)\n  (x : relations₁.R × relations₂.G ⊕ relations₁.G × relations₂.R),\n  (relations₁.tensor relations₂).relation x =\n    match x with\n    | Sum.inl (r₁, g₂) => Finsupp.embDomain (Function.Embedding.sectL relations₁.G g₂) (relations₁.relation r₁)\n    | Sum.inr (g₁, r₂) => Finsupp.embDomain (Function.Embedding.sectR g₁ relations₂.G) (relations₂.relation 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inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{v₁} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{v₂} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.18) (TensorProduct.addCommGroup.{u, v₁, v₂} A (CommRing.toCommSemiring.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3) M₁ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.8 (AddCommGroup.toAddCommMonoid.{v₂} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.18) (TensorProduct.instModule.{u, v₁, v₂} A (CommRing.toCommSemiring.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{v₁} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{v₂} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.18) (Module.Relations.Solution.tensor.{w₁₀, w₁₁, w₂₀, w₂₁, u, v₁, v₂} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3 M₁ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.8 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.18 relations₁ relations₂ solution₁ solution₂) x._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.49) (Module.Relations.Solution.tensor.match_1.{w₁₀, w₂₀, w₁₁, w₂₁, u, max (succ v₁) (succ v₂)} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3 relations₁ relations₂ (fun (x._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx.49.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.57 : Module.Relations.G.{max w₁₀ w₂₀, max (max (max w₁₀ w₁₁) w₂₀) w₂₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3) (Module.Relations.tensor.{w₁₀, w₁₁, w₂₀, w₂₁, u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3 relations₁ relations₂)) => TensorProduct.{u, v₁, v₂} A (CommRing.toCommSemiring.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{v₁} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{v₂} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.18) x._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.49 (fun (g₁ : Module.Relations.G.{w₁₀, w₁₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3) relations₁) (g₂ : Module.Relations.G.{w₂₀, w₂₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3) relations₂) => TensorProduct.tmul.{u, v₁, v₂} A (CommRing.toCommSemiring.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{v₁} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{v₂} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.18 (Module.Relations.Solution.var.{w₁₀, w₁₁, v₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3) relations₁ M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.8 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.14 solution₁ g₁) (Module.Relations.Solution.var.{w₂₀, w₂₁, v₂, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3) relations₂ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.18 solution₂ g₂)))","typeFull":"∀ {A : Type u} [inst : CommRing A] {M₁ : Type v₁} {M₂ : Type v₂} [inst_1 : AddCommGroup M₁] [inst_2 : AddCommGroup M₂]\n  [inst_3 : Module A M₁] [inst_4 : Module A M₂] {relations₁ : Module.Relations A} {relations₂ : Module.Relations A}\n  (solution₁ : relations₁.Solution M₁) (solution₂ : relations₂.Solution M₂) (x : (relations₁.tensor relations₂).G),\n  (solution₁.tensor solution₂).var x =\n    match x with\n    | (g₁, g₂) => solution₁.var g₁ ⊗ₜ[A] solution₂.var g₂","typeReadable":"∀ {A : Type u} [inst : CommRing A] {M₁ : Type v₁} {M₂ : Type v₂} [inst_1 : AddCommGroup M₁] [inst_2 : AddCommGroup M₂]\n  [inst_3 : Module A M₁] [inst_4 : Module A M₂] {relations₁ : Module.Relations A} {relations₂ : Module.Relations A}\n  (solution₁ : relations₁.Solution M₁) (solution₂ : relations₂.Solution M₂) (x : (relations₁.tensor relations₂).G),\n  (solution₁.tensor solution₂).var x =\n    match x with\n    | (g₁, g₂) => solution₁.var g₁ ⊗ₜ[A] solution₂.var g₂","typeReferences":[["CommRing","toCommSemiring"],["TensorProduct"],["Module"],["Module","Relations","Solution","tensor","match_1"],["CommSemiring","toSemiring"],["Module","Relations"],["AddCommGroup"],["CommRing"],["TensorProduct","tmul"],["TensorProduct","instModule"],["Module","Relations","Solution"],["CommRing","toRing"],["Module","Relations","tensor"],["Module","Relations","Solution","tensor"],["Module","Relations","Solution","var"],["TensorProduct","addCommGroup"],["Module","Relations","G"],["AddCommGroup","toAddCommMonoid"],["Eq"]],"valueReferences":[["Module","Relations","tensor"],["CommRing","toRing"],["CommRing","toCommSemiring"],["TensorProduct"],["Module","Relations","Solution","tensor"],["Module","Relations","Solution","var"],["Eq","refl"],["TensorProduct","addCommGroup"],["AddCommGroup","toAddCommMonoid"],["TensorProduct","instModule"]]},{"isProp":true,"kind":"theorem","name":["Module","Relations","Solution","isPresentationCoreTensor","_proof_3"],"typeFallback":"forall {A : Type.{u_1}} [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 : CommRing.{u_1} A] {N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 : Type.{u_2}} [inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47 : AddCommGroup.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46] [inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48 : Module.{u_1, u_2} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (Ring.toSemiring.{u_1} A (CommRing.toRing.{u_1} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47)], SMulCommClass.{u_1, u_1, u_2} A A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (SemigroupAction.toSMul.{u_1, u_2} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (Monoid.toSemigroup.{u_1} A (CommMonoid.toMonoid.{u_1} A (CommSemiring.toCommMonoid.{u_1} A (CommRing.toCommSemiring.{u_1} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (MulAction.toSemigroupAction.{u_1, u_2} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommMonoid.toMonoid.{u_1} A (CommSemiring.toCommMonoid.{u_1} A (CommRing.toCommSemiring.{u_1} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (DistribMulAction.toMulAction.{u_1, u_2} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommMonoid.toMonoid.{u_1} A (CommSemiring.toCommMonoid.{u_1} A (CommRing.toCommSemiring.{u_1} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (AddCommMonoid.toAddMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47)) (Module.toDistribMulAction.{u_1, u_2} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommSemiring.toSemiring.{u_1} A (CommRing.toCommSemiring.{u_1} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_2} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48)))) (SemigroupAction.toSMul.{u_1, u_2} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (Monoid.toSemigroup.{u_1} A (CommMonoid.toMonoid.{u_1} A (CommSemiring.toCommMonoid.{u_1} A (CommRing.toCommSemiring.{u_1} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (MulAction.toSemigroupAction.{u_1, u_2} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.46 (CommMonoid.toMonoid.{u_1} A (CommSemiring.toCommMonoid.{u_1} A (CommRing.toCommSemiring.{u_1} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3))) (DistribMulAction.toMulAction.{u_1, u_2} A 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inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.34.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.47) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.37.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.48))))","typeFull":"∀ {A : Type u_1} [inst : CommRing A] {N : Type u_2} [inst_1 : AddCommGroup N] [inst_2 : Module A N], SMulCommClass A A N","typeReadable":"∀ {A : Type u_1} [inst : CommRing A] {N : Type u_2} [inst_1 : AddCommGroup N] [inst_2 : Module A N], SMulCommClass A A 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Type.{v₂}} [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8 : AddCommGroup.{v₁} M₁] [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11 : AddCommGroup.{v₂} M₂] [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.14 : Module.{u, v₁} A M₁ (CommSemiring.toSemiring.{u} A (CommRing.toCommSemiring.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{v₁} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8)] [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.18 : Module.{u, v₂} A M₂ (CommSemiring.toSemiring.{u} A (CommRing.toCommSemiring.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{v₂} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11)] (pres₁ : Module.Presentation.{w₁₀, w₁₁, v₁, u} A 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inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) (TensorProduct.{u, v₁, v₂} A (CommRing.toCommSemiring.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{v₁} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{v₂} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.18) (TensorProduct.addCommGroup.{u, v₁, v₂} A (CommRing.toCommSemiring.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₁ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8 (AddCommGroup.toAddCommMonoid.{v₂} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.18) (TensorProduct.instModule.{u, v₁, v₂} A (CommRing.toCommSemiring.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{v₁} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{v₂} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.18) (Module.Presentation.tensor.{w₁₀, w₁₁, w₂₀, w₂₁, u, v₁, v₂} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3 M₁ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.18 pres₁ pres₂))) (Sum.{max w₂₀ w₁₁, max w₂₁ w₁₀} (Prod.{w₁₁, w₂₀} (Module.Relations.R.{w₁₀, w₁₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) (Module.Presentation.toRelations.{w₁₀, w₁₁, v₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.14 pres₁)) (Module.Relations.G.{w₂₀, w₂₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) (Module.Presentation.toRelations.{w₂₀, w₂₁, v₂, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.18 pres₂))) (Prod.{w₁₀, w₂₁} (Module.Relations.G.{w₁₀, w₁₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) (Module.Presentation.toRelations.{w₁₀, w₁₁, v₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.14 pres₁)) (Module.Relations.R.{w₂₀, w₂₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) (Module.Presentation.toRelations.{w₂₀, w₂₁, v₂, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.18 pres₂))))","typeFull":"∀ {A : Type u} [inst : CommRing A] {M₁ : Type v₁} {M₂ : Type v₂} [inst_1 : AddCommGroup M₁] [inst_2 : AddCommGroup M₂]\n  [inst_3 : Module A M₁] [inst_4 : Module A M₂] (pres₁ : Module.Presentation A M₁) (pres₂ : Module.Presentation A M₂),\n  (pres₁.tensor pres₂).R = (pres₁.R × pres₂.G ⊕ pres₁.G × pres₂.R)","typeReadable":"∀ {A : Type u} [inst : CommRing A] {M₁ : Type v₁} {M₂ : Type v₂} [inst_1 : AddCommGroup M₁] [inst_2 : AddCommGroup M₂]\n  [inst_3 : Module A M₁] [inst_4 : Module A M₂] (pres₁ : Module.Presentation A M₁) (pres₂ : Module.Presentation A M₂),\n  (pres₁.tensor pres₂).R = (pres₁.R × pres₂.G ⊕ pres₁.G × pres₂.R)","typeReferences":[["Module","Presentation","tensor"],["CommRing","toCommSemiring"],["TensorProduct"],["Module"],["CommSemiring","toSemiring"],["AddCommGroup"],["CommRing"],["Module","Presentation","toRelations"],["Module","Relations","R"],["Sum"],["TensorProduct","instModule"],["Prod"],["Module","Presentation"],["CommRing","toRing"],["Module","Relations","G"],["TensorProduct","addCommGroup"],["AddCommGroup","toAddCommMonoid"],["Eq"]],"valueReferences":[["Module","Presentation","tensor"],["CommRing","toRing"],["CommRing","toCommSemiring"],["TensorProduct"],["Eq","refl"],["TensorProduct","addCommGroup"],["AddCommGroup","toAddCommMonoid"],["Module","Presentation","toRelations"],["Module","Relations","R"],["TensorProduct","instModule"]]},{"isProp":true,"kind":"theorem","name":["Module","Relations","Solution","isPresentationCoreTensor","_proof_8"],"typeFallback":"forall {A : Type.{u_2}} [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 : CommRing.{u_2} A] {M₁ : Type.{u_3}} {M₂ : Type.{u_4}} [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8 : AddCommGroup.{u_3} M₁] [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11 : AddCommGroup.{u_4} M₂] [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 : Module.{u_2, u_3} A M₁ (CommSemiring.toSemiring.{u_2} A (CommRing.toCommSemiring.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_3} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8)] [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 : Module.{u_2, u_4} A M₂ (CommSemiring.toSemiring.{u_2} A (CommRing.toCommSemiring.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11)] {relations₁ : Module.Relations.{u_5, u_7, u_2} A (CommRing.toRing.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)} {relations₂ : Module.Relations.{u_6, u_8, u_2} A (CommRing.toRing.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)} {solution₁ : Module.Relations.Solution.{u_5, u_7, u_3, u_2} A (CommRing.toRing.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁ M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14} {solution₂ : Module.Relations.Solution.{u_6, u_8, u_4, u_2} A (CommRing.toRing.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18}, (Module.Relations.Solution.IsPresentation.{u_5, u_7, u_3, u_2} A (CommRing.toRing.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₁ M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 solution₁) -> (Module.Relations.Solution.IsPresentation.{u_6, u_8, u_4, u_2} A (CommRing.toRing.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) relations₂ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 solution₂) -> (forall {N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 : Type.{u_1}} [inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101 : AddCommGroup.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100] [inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.75.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.102 : Module.{u_2, u_1} A N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (Ring.toSemiring.{u_2} A (CommRing.toRing.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101)] {f._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.103 : LinearMap.{u_2, u_2, max u_3 u_4, u_1} A A (Ring.toSemiring.{u_2} A (CommRing.toRing.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (Ring.toSemiring.{u_2} A (CommRing.toRing.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_2} A (Semiring.toNonAssocSemiring.{u_2} A (Ring.toSemiring.{u_2} A (CommRing.toRing.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (TensorProduct.{u_2, u_3, u_4} A (CommRing.toCommSemiring.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_3} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (AddCommGroup.toAddCommMonoid.{max u_3 u_4} (TensorProduct.{u_2, u_3, u_4} A (CommRing.toCommSemiring.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_3} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) (TensorProduct.addCommGroup.{u_2, u_3, u_4} A (CommRing.toCommSemiring.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8 (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101) (TensorProduct.instModule.{u_2, u_3, u_4} A (CommRing.toCommSemiring.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_3} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.75.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.102} {f'._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.104 : LinearMap.{u_2, u_2, max u_3 u_4, u_1} A A (Ring.toSemiring.{u_2} A (CommRing.toRing.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (Ring.toSemiring.{u_2} A (CommRing.toRing.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)) (RingHom.id.{u_2} A (Semiring.toNonAssocSemiring.{u_2} A (Ring.toSemiring.{u_2} A (CommRing.toRing.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3)))) (TensorProduct.{u_2, u_3, u_4} A (CommRing.toCommSemiring.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_3} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 (AddCommGroup.toAddCommMonoid.{max u_3 u_4} (TensorProduct.{u_2, u_3, u_4} A (CommRing.toCommSemiring.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_3} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) (TensorProduct.addCommGroup.{u_2, u_3, u_4} A (CommRing.toCommSemiring.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8 (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18)) (AddCommGroup.toAddCommMonoid.{u_1} N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101) (TensorProduct.instModule.{u_2, u_3, u_4} A (CommRing.toCommSemiring.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_3} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.75.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.102}, (Eq.{max (succ u_1) (succ (max u_5 u_6))} (Module.Relations.Solution.{max u_5 u_6, max (max (max u_5 u_7) u_6) u_8, u_1, u_2} A (CommRing.toRing.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) (Module.Relations.tensor.{u_5, u_7, u_6, u_8, u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 relations₁ relations₂) N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.72.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.101 inst._@.Mathlib.Algebra.Module.Presentation.Basic.188742726._hygCtx.75.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.102) (Module.Relations.Solution.postcomp.{max u_5 u_6, max (max (max u_5 u_7) u_6) u_8, u_1, max u_3 u_4, u_2} A (CommRing.toRing.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) (Module.Relations.tensor.{u_5, u_7, u_6, u_8, u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 relations₁ relations₂) (TensorProduct.{u_2, u_3, u_4} A (CommRing.toCommSemiring.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_3} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) (TensorProduct.addCommGroup.{u_2, u_3, u_4} A (CommRing.toCommSemiring.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8 (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) (TensorProduct.instModule.{u_2, u_3, u_4} A (CommRing.toCommSemiring.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_3} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) (Module.Relations.Solution.tensor.{u_5, u_7, u_6, u_8, u_2, u_3, u_4} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3 M₁ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18 relations₁ relations₂ solution₁ solution₂) N._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.100 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(AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) (TensorProduct.addCommGroup.{u_2, u_3, u_4} A (CommRing.toCommSemiring.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.8 (AddCommGroup.toAddCommMonoid.{u_4} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.18) (TensorProduct.instModule.{u_2, u_3, u_4} A (CommRing.toCommSemiring.{u_2} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.2672112102._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_3} M₁ 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u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.14 pres₁) (Module.Presentation.toRelations.{w₂₀, w₂₁, v₂, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.18 pres₂) (fun (x._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx.49.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.57 : Prod.{w₁₀, w₂₀} (Module.Relations.G.{w₁₀, w₁₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) (Module.Presentation.toRelations.{w₁₀, w₁₁, v₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.14 pres₁)) (Module.Relations.G.{w₂₀, w₂₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) (Module.Presentation.toRelations.{w₂₀, w₂₁, v₂, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.18 pres₂))) => TensorProduct.{u, v₁, v₂} A (CommRing.toCommSemiring.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{v₁} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{v₂} 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pres₂.toRelations).G),\n  (pres₁.tensor pres₂).var x =\n    match x with\n    | (g₁, g₂) => pres₁.var g₁ ⊗ₜ[A] pres₂.var g₂","typeReadable":"∀ {A : Type u} [inst : CommRing A] {M₁ : Type v₁} {M₂ : Type v₂} [inst_1 : AddCommGroup M₁] [inst_2 : AddCommGroup M₂]\n  [inst_3 : Module A M₁] [inst_4 : Module A M₂] (pres₁ : Module.Presentation A M₁) (pres₂ : Module.Presentation A M₂)\n  (x : (pres₁.tensor pres₂.toRelations).G),\n  (pres₁.tensor pres₂).var x =\n    match x with\n    | (g₁, g₂) => pres₁.var g₁ ⊗ₜ[A] pres₂.var g₂","typeReferences":[["Module","Presentation","tensor"],["Module","Presentation","toSolution"],["CommRing","toCommSemiring"],["TensorProduct"],["Module"],["Module","Relations","Solution","tensor","match_1"],["CommSemiring","toSemiring"],["AddCommGroup"],["CommRing"],["Module","Presentation","toRelations"],["TensorProduct","tmul"],["TensorProduct","instModule"],["Module","Presentation"],["CommRing","toRing"],["Module","Relations","tensor"],["Module","Relations","Solution","var"],["TensorProduct","addCommGroup"],["Module","Relations","G"],["AddCommGroup","toAddCommMonoid"],["Eq"]],"valueReferences":[["Module","Presentation","tensor"],["Module","Presentation","toSolution"],["CommRing","toRing"],["CommRing","toCommSemiring"],["TensorProduct"],["Module","Relations","Solution","var"],["Eq","refl"],["TensorProduct","addCommGroup"],["AddCommGroup","toAddCommMonoid"],["Module","Presentation","toRelations"],["TensorProduct","instModule"]]},{"isProp":false,"kind":"definition","name":["Module","Relations","Solution","tensor","match_1"],"typeFallback":"forall {A : Type.{u_5}} [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3 : CommRing.{u_5} A] {relations₁ : Module.Relations.{u_1, u_3, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3)} {relations₂ : Module.Relations.{u_2, u_4, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3)} (motive : (Module.Relations.G.{max u_1 u_2, max (max (max u_1 u_3) u_2) u_4, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3) (Module.Relations.tensor.{u_1, u_3, u_2, u_4, u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3 relations₁ relations₂)) -> Sort.{u_6}) (x._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx.49.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.57 : Module.Relations.G.{max u_1 u_2, max (max (max u_1 u_3) u_2) u_4, u_5} A 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x._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx.49.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.57)","typeFull":"{A : Type u_5} →\n  [inst : CommRing A] →\n    {relations₁ : Module.Relations A} →\n      {relations₂ : Module.Relations A} →\n        (motive : (relations₁.tensor relations₂).G → Sort u_6) →\n          (x : (relations₁.tensor relations₂).G) →\n            ((g₁ : relations₁.G) → (g₂ : relations₂.G) → motive (g₁, g₂)) → motive x","typeReadable":"{A : Type u_5} →\n  [inst : CommRing A] →\n    {relations₁ : Module.Relations A} →\n      {relations₂ : Module.Relations A} →\n        (motive : (relations₁.tensor relations₂).G → Sort u_6) →\n          (x : (relations₁.tensor relations₂).G) →\n            ((g₁ : relations₁.G) → (g₂ : relations₂.G) → motive (g₁, g₂)) → motive x","typeReferences":[["Module","Relations","tensor"],["CommRing","toRing"],["Prod","mk"],["Module","Relations","G"],["Module","Relations"],["CommRing"]],"valueReferences":[["Prod","casesOn"],["CommRing","toRing"],["Module","Relations","G"]]},{"isProp":true,"kind":"theorem","name":["Module","Presentation","tensor","_proof_1"],"typeFallback":"forall {A : Type.{u_7}} [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3 : CommRing.{u_7} A] {M₁ : Type.{u_5}} {M₂ : Type.{u_6}} [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8 : AddCommGroup.{u_5} M₁] [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11 : AddCommGroup.{u_6} M₂] [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.14 : Module.{u_7, u_5} A M₁ (CommSemiring.toSemiring.{u_7} A (CommRing.toCommSemiring.{u_7} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_5} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8)] [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.18 : Module.{u_7, u_6} A M₂ (CommSemiring.toSemiring.{u_7} A (CommRing.toCommSemiring.{u_7} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{u_6} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11)] (pres₁ : Module.Presentation.{u_1, u_3, u_5, u_7} A (CommRing.toRing.{u_7} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.14) (pres₂ : Module.Presentation.{u_2, u_4, u_6, u_7} A (CommRing.toRing.{u_7} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.18), Module.Relations.Solution.IsPresentation.{max u_1 u_2, max (max (max u_1 u_3) u_2) u_4, max u_5 u_6, u_7} A (CommRing.toRing.{u_7} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) (Module.Relations.tensor.{u_1, u_3, u_2, u_4, u_7} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3 (Module.Presentation.toRelations.{u_1, u_3, u_5, u_7} A (CommRing.toRing.{u_7} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.14 pres₁) (Module.Presentation.toRelations.{u_2, u_4, u_6, u_7} A (CommRing.toRing.{u_7} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.18 pres₂)) (TensorProduct.{u_7, u_5, u_6} A (CommRing.toCommSemiring.{u_7} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_5} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_6} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.18) (TensorProduct.addCommGroup.{u_7, u_5, u_6} A (CommRing.toCommSemiring.{u_7} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₁ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8 (AddCommGroup.toAddCommMonoid.{u_6} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.18) (TensorProduct.instModule.{u_7, u_5, u_6} A (CommRing.toCommSemiring.{u_7} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_5} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_6} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.18) (Module.Relations.Solution.tensor.{u_1, u_3, u_2, u_4, u_7, u_5, u_6} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3 M₁ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.18 (Module.Presentation.toRelations.{u_1, u_3, u_5, u_7} A (CommRing.toRing.{u_7} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.14 pres₁) (Module.Presentation.toRelations.{u_2, u_4, u_6, u_7} A (CommRing.toRing.{u_7} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.18 pres₂) (Module.Presentation.toSolution.{u_1, u_3, u_5, u_7} A (CommRing.toRing.{u_7} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.14 pres₁) (Module.Presentation.toSolution.{u_2, u_4, u_6, u_7} A (CommRing.toRing.{u_7} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.18 pres₂))","typeFull":"∀ {A : Type u_7} [inst : CommRing A] {M₁ : Type u_5} {M₂ : Type u_6} [inst_1 : AddCommGroup M₁]\n  [inst_2 : AddCommGroup M₂] [inst_3 : Module A M₁] [inst_4 : Module A M₂] (pres₁ : Module.Presentation A M₁)\n  (pres₂ : Module.Presentation A M₂), (pres₁.tensor pres₂.toSolution).IsPresentation","typeReadable":"∀ {A : Type u_7} [inst : CommRing A] {M₁ : Type u_5} {M₂ : Type u_6} [inst_1 : AddCommGroup M₁]\n  [inst_2 : AddCommGroup M₂] [inst_3 : Module A M₁] [inst_4 : Module A M₂] (pres₁ : Module.Presentation A M₁)\n  (pres₂ : Module.Presentation A M₂), (pres₁.tensor 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[inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3 : CommRing.{u_5} A] (relations₁ : Module.Relations.{u_4, u_2, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3)) (relations₂ : Module.Relations.{u_1, u_3, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3)) (motive : (Sum.{max u_1 u_2, max u_3 u_4} (Prod.{u_2, u_1} (Module.Relations.R.{u_4, u_2, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) (Module.Relations.G.{u_1, u_3, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂)) (Prod.{u_4, u_3} (Module.Relations.G.{u_4, u_2, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) (Module.Relations.R.{u_1, u_3, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂))) -> Sort.{u_6}) (r₁ : Module.Relations.R.{u_4, u_2, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) (g₂ : Module.Relations.G.{u_1, u_3, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂) (h_1 : forall (r₁ : Module.Relations.R.{u_4, u_2, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) (g₂ : Module.Relations.G.{u_1, u_3, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂), motive (Sum.inl.{max u_2 u_1, max u_4 u_3} (Prod.{u_2, u_1} (Module.Relations.R.{u_4, u_2, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) (Module.Relations.G.{u_1, u_3, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂)) (Prod.{u_4, u_3} (Module.Relations.G.{u_4, u_2, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) (Module.Relations.R.{u_1, u_3, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂)) (Prod.mk.{u_2, u_1} (Module.Relations.R.{u_4, u_2, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) (Module.Relations.G.{u_1, u_3, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂) r₁ g₂))) (h_2 : forall (g₁ : Module.Relations.G.{u_4, u_2, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) (r₂ : Module.Relations.R.{u_1, u_3, u_5} A 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(Module.Relations.R.{u_1, u_3, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂) g₁ r₂))), Eq.{u_6} (motive (Sum.inl.{max u_2 u_1, max u_4 u_3} (Prod.{u_2, u_1} (Module.Relations.R.{u_4, u_2, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) (Module.Relations.G.{u_1, u_3, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂)) (Prod.{u_4, u_3} (Module.Relations.G.{u_4, u_2, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₁) (Module.Relations.R.{u_1, u_3, u_5} A (CommRing.toRing.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) relations₂)) (Prod.mk.{u_2, u_1} (Module.Relations.R.{u_4, u_2, u_5} A (CommRing.toRing.{u_5} A 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g₂","typeReadable":"∀ {A : Type u_5} [inst : CommRing A] (relations₁ : Module.Relations A) (relations₂ : Module.Relations A)\n  (motive : relations₁.R × relations₂.G ⊕ relations₁.G × relations₂.R → Sort u_6) (r₁ : relations₁.R)\n  (g₂ : relations₂.G) (h_1 : (r₁ : relations₁.R) → (g₂ : relations₂.G) → motive (Sum.inl (r₁, g₂)))\n  (h_2 : (g₁ : relations₁.G) → (r₂ : relations₂.R) → motive (Sum.inr (g₁, r₂))),\n  (match Sum.inl (r₁, g₂) with\n    | Sum.inl (r₁, g₂) => h_1 r₁ g₂\n    | Sum.inr (g₁, r₂) => h_2 g₁ r₂) =\n    h_1 r₁ g₂","typeReferences":[["Prod"],["CommRing","toRing"],["Module","Relations","tensor","match_1"],["Sum","inl"],["Prod","mk"],["Module","Relations","G"],["Module","Relations"],["Eq"],["CommRing"],["Sum","inr"],["Module","Relations","R"],["Sum"]],"valueReferences":[["Prod"],["CommRing","toRing"],["Module","Relations","tensor","match_1"],["Sum","inl"],["Prod","mk"],["Eq","refl"],["Module","Relations","G"],["Module","Relations","R"]]},{"isProp":false,"kind":"definition","name":["Module","Presentation","tensor"],"typeFallback":"forall {A : Type.{u}} [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3 : CommRing.{u} A] {M₁ : Type.{v₁}} {M₂ : Type.{v₂}} [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8 : AddCommGroup.{v₁} M₁] [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11 : AddCommGroup.{v₂} M₂] [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.14 : Module.{u, v₁} A M₁ (CommSemiring.toSemiring.{u} A (CommRing.toCommSemiring.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{v₁} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8)] [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.18 : Module.{u, v₂} A M₂ (CommSemiring.toSemiring.{u} A (CommRing.toCommSemiring.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3)) (AddCommGroup.toAddCommMonoid.{v₂} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11)], (Module.Presentation.{w₁₀, w₁₁, v₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.14) -> (Module.Presentation.{w₂₀, w₂₁, v₂, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.18) -> (Module.Presentation.{max w₁₀ w₂₀, max (max (max w₁₀ w₁₁) w₂₁) w₂₀, max v₂ v₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) (TensorProduct.{u, v₁, v₂} A (CommRing.toCommSemiring.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{v₁} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{v₂} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455402._hygCtx._hyg.18) (TensorProduct.addCommGroup.{u, v₁, v₂} 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inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_6} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_7} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.18) (AddCommGroup.toDivisionAddCommMonoid.{max u_6 u_7} (TensorProduct.{u_5, u_6, u_7} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3) M₁ M₂ (AddCommGroup.toAddCommMonoid.{u_6} M₁ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.8) (AddCommGroup.toAddCommMonoid.{u_7} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.18) (TensorProduct.addCommGroup.{u_5, u_6, u_7} A (CommRing.toCommSemiring.{u_5} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.3) M₁ M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.8 (AddCommGroup.toAddCommMonoid.{u_7} M₂ inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.11) inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.14 inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455400._hygCtx._hyg.18))))))))","typeFull":"∀ {A : Type u_5} [inst : CommRing A] {M₁ : Type u_6} {M₂ : Type u_7} [inst_1 : AddCommGroup M₁]\n  [inst_2 : AddCommGroup M₂] [inst_3 : Module A M₁] [inst_4 : Module A M₂] {relations₁ : Module.Relations A}\n  {relations₂ : Module.Relations A} (solution₁ : relations₁.Solution M₁) (solution₂ : relations₂.Solution M₂)\n  (r : (relations₁.tensor relations₂).R),\n  (Finsupp.linearCombination A fun x =>\n        match x with\n        | (g₁, g₂) => solution₁.var g₁ ⊗ₜ[A] solution₂.var g₂)\n      ((relations₁.tensor relations₂).relation r) =\n    0","typeReadable":"∀ {A : Type u_5} [inst : CommRing A] {M₁ : Type u_6} {M₂ : Type u_7} [inst_1 : AddCommGroup M₁]\n  [inst_2 : AddCommGroup M₂] [inst_3 : Module A M₁] [inst_4 : Module A M₂] {relations₁ : Module.Relations A}\n  {relations₂ : Module.Relations A} (solution₁ : relations₁.Solution M₁) (solution₂ : relations₂.Solution M₂)\n  (r : (relations₁.tensor relations₂).R),\n  (Finsupp.linearCombination A fun x =>\n        match x with\n        | (g₁, g₂) => solution₁.var g₁ ⊗ₜ[A] solution₂.var g₂)\n      ((relations₁.tensor relations₂).relation r) =\n    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{A : Type.{u}} [inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3 : CommRing.{u} A] (relations₁ : Module.Relations.{w₁₀, w₁₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3)) (relations₂ : Module.Relations.{w₂₀, w₂₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3)), Eq.{succ (max (succ (max w₂₀ w₁₁)) (succ (max w₂₁ w₁₀)))} Sort.{max (succ (max w₂₀ w₁₁)) (succ (max w₂₁ w₁₀))} (Module.Relations.R.{max w₂₀ w₁₀, max (max w₂₁ w₁₀) w₂₀ w₁₁, u} A (CommRing.toRing.{u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3) (Module.Relations.tensor.{w₁₀, w₁₁, w₂₀, w₂₁, u} A inst._@.Mathlib.Algebra.Module.Presentation.Tensor.1234455399._hygCtx._hyg.3 relations₁ relations₂)) (Sum.{max w₂₀ w₁₁, max w₂₁ w₁₀} (Prod.{w₁₁, w₂₀} (Module.Relations.R.{w₁₀, w₁₁, u} A (CommRing.toRing.{u} A 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