name
stringlengths
2
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stringlengths
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bool
2 classes
_private.Mathlib.Combinatorics.SetFamily.Shadow.0.Finset.upShadow_compls._simp_1_2
Mathlib.Combinatorics.SetFamily.Shadow
[ "Finset", "Membership.mem", "Exists", "Finset.upShadow", "Insert.insert", "Finset.instInsert", "And", "Fintype", "Finset.instSetLike", "propext", "Finset.mem_upShadow_iff", "Eq", "Not", "SetLike.instMembership", "DecidableEq" ]
false
CentroidHom.toEndRingHom_apply
Mathlib.Algebra.Ring.CentroidHom
[ "AddMonoid.toAddZeroClass", "RingHom", "AddZeroClass.toAddZero", "NonUnitalNonAssocSemiring.toAddCommMonoid", "RingHom.instFunLike", "CentroidHom.toEndRingHom", "CentroidHom.instSemiring", "Eq.refl", "AddCommMonoid.toAddMonoid", "AddMonoid.End.instSemiring", "AddMonoid.End", "NonUnitalNonAssoc...
true
IntermediateField.eq_of_le_of_finrank_eq
Mathlib.FieldTheory.IntermediateField.Algebraic
[ "IntermediateField.instPartialOrder", "Eq.ge", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "instSMulOfMul", "CommRing.toNonUnitalCommRing", "IntermediateField", "IntermediateField.toField", "PartialOrder.toPreorder", "Algebra", "Preorder.toLE", "Membership.mem", "Field.toDivisionRing", ...
true
Std.Internal.IO.Async.EAsync.ofTask
Std.Internal.Async.Basic
[ "Pure.pure", "Std.Internal.IO.Async.MaybeTask.ofTask", "Std.Internal.IO.Async.BaseAsync.mk", "Monad.toApplicative", "Std.Internal.IO.Async.ETask", "Std.Internal.IO.Async.EAsync", "Applicative.toPure", "instMonadBaseIO", "Std.Internal.IO.Async.MaybeTask", "Except", "BaseIO" ]
true
HomotopicalAlgebra.instHasTwoOutOfThreePropertyFullSubcategoryWeakEquivalences
Mathlib.AlgebraicTopology.ModelCategory.CategoryWithCofibrations
[ "CategoryTheory.MorphismProperty.HasTwoOutOfThreeProperty", "HomotopicalAlgebra.CategoryWithWeakEquivalences", "CategoryTheory.Category.toCategoryStruct", "_private.Mathlib.AlgebraicTopology.ModelCategory.CategoryWithCofibrations.0.HomotopicalAlgebra.instHasTwoOutOfThreePropertyFullSubcategoryWeakEquivalences...
true
Lean.Grind.ISize.natCast
Init.GrindInstances.Ring.SInt
[ "ISize.ofNat", "NatCast", "Nat", "NatCast.mk", "ISize" ]
true
CategoryTheory.SingleFunctors.shiftIso_zero_hom_app
Mathlib.CategoryTheory.Shift.SingleFunctors
[ "Eq.mpr", "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "AddMonoid.toAddZeroClass", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.shiftFunctor", "CategoryTheory.Functor.id", "CategoryTheory.shiftFunctorZero", "...
true
LieModule.maxTrivEquiv._proof_1
Mathlib.Algebra.Lie.Abelian
[ "LieSubmodule.instSetLike", "CommRing", "LieModuleEquiv", "LieModuleHom", "LieSubmodule.instLieRingModuleSubtypeMem", "congrArg", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "LieSubmodule.instSMulMemClass", "LieSubmodule", "AddCommGroup.toAddGroup", "Membership.mem", "AddCommG...
false
Finsupp.comapDomain_inl_sumElim
Mathlib.Data.Finsupp.Basic
[ "Finsupp.instFunLike", "Finsupp.ext", "Function.Injective.injOn", "Finset", "Sum.inl_injective", "Finsupp.support", "Sum", "Sum.inl", "SetLike.coe", "Set.preimage", "Finset.instSetLike", "eq_self", "of_eq_true", "Finsupp.comapDomain", "Finsupp.sumElim", "Eq", "DFunLike.coe", "Finsu...
true
_private.Std.Data.DTreeMap.Internal.Lemmas.0.Std.DTreeMap.Internal.Impl.getKey_eq_getKeyD._simp_1_2
Std.Data.DTreeMap.Internal.Lemmas
[ "Ord", "beqOfOrd", "Ordering", "Std.DTreeMap.Internal.Impl.compare_ne_iff_beq_eq_false", "Ordering.eq", "Ne", "Ord.compare", "BEq.beq", "propext", "Bool", "Bool.false", "Eq" ]
false
_private.Lean.Compiler.IR.Checker.0.Lean.IR.Checker.checkExpr.match_4
Lean.Compiler.IR.Checker
[ "Lean.IR.Expr.casesOn", "Lean.IR.Expr.sproj", "Lean.IR.Expr", "Lean.IR.Expr.uproj", "Lean.IR.Expr.ctor", "Lean.IR.Expr.box", "Lean.IR.Expr.unbox", "String", "Lean.IR.Arg", "Lean.IR.CtorInfo", "Lean.IR.Expr.reset", "Lean.IR.Expr.reuse", "Nat.hasNotBit", "Lean.IR.LitVal.str", "Lean.IR.Expr...
false
Set.vsub_iUnion
Mathlib.Algebra.Group.Pointwise.Set.Lattice
[ "Set.vsub", "Set.image2_iUnion_right", "VSub.vsub", "VSub", "Eq", "Set.iUnion", "Set" ]
true
WithTop.forall_ne_top
Mathlib.Order.WithBot
[ "congrArg", "Exists", "forall_exists_index", "Ne", "WithTop.ne_top_iff_exists", "WithTop.some", "iff_self", "Iff", "WithTop.top", "implies_congr", "True", "propext", "Exists.intro", "of_eq_true", "Eq.refl", "congrFun'", "Top.top", "forall_apply_eq_imp_iff", "Eq", "Eq.trans", ...
true
CategoryTheory.Limits.coneOfConeCurry_pt
Mathlib.CategoryTheory.Limits.Fubini
[ "CategoryTheory.Functor", "CategoryTheory.Limits.Cone", "CategoryTheory.Functor.category", "CategoryTheory.Functor.curry", "CategoryTheory.Limits.Cone.pt", "CategoryTheory.Limits.DiagramOfCones.conePoints", "CategoryTheory.Limits.IsLimit", "CategoryTheory.Limits.coneOfConeCurry", "CategoryTheory.Lim...
true
CategoryTheory.MonoidalPreadditive.instAdditiveFunctorFlipCurriedTensor
Mathlib.CategoryTheory.Monoidal.Preadditive
[ "Eq.mpr", "CategoryTheory.Functor.flip", "CategoryTheory.Functor", "CategoryTheory.MonoidalCategoryStruct.whiskerLeft", "CategoryTheory.MonoidalPreadditive.whiskerLeft_add", "CategoryTheory.CategoryStruct.toQuiver", "CategoryTheory.NatTrans.ext'", "Quiver.Hom", "congrArg", "AddCommGroup.toAddCommM...
true
ExistsContDiffBumpBase.y_eq_one_of_mem_closedBall
Mathlib.Analysis.Calculus.BumpFunction.FiniteDimension
[ "MeasureTheory.convolution_eq_right'", "Real.instIsOrderedRing", "Mathlib.Tactic.Ring.Common.neg_zero", "Eq.mpr", "InnerProductSpace.toNormedSpace", "NegZeroClass.toNeg", "NormedCommRing.toSeminormedCommRing", "NonAssocSemiring.toAddCommMonoidWithOne", "Mathlib.Tactic.Ring.Common.neg_mul", "locall...
true
ModuleCat.ExtendRestrictScalarsAdj.Counit.map._proof_3
Mathlib.Algebra.Category.ModuleCat.ChangeOfRings
[ "Eq.mpr", "Semigroup.toMul", "CommRing", "instHSMul", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "instSMulOfMul", "HMul.hMul", "CommRing.toNonUnitalCommRing", "ModuleCat", "LinearMap.ext", "congrArg", "CommSemiring.toSemiring", "DistribMulAction.toDistribSMul", ...
false
_private.Mathlib.RingTheory.Support.0.Module.mem_support_iff_exists_annihilator._simp_1_2
Mathlib.RingTheory.Support
[ "SetLike", "SetLike.le_def", "Membership.mem", "LE.le", "LE", "IsConcreteLE", "propext", "Eq", "SetLike.instMembership" ]
false
Left.self_le_neg
Mathlib.Algebra.Order.Group.Unbundled.Basic
[ "Iff.mpr", "AddGroup.toSubtractionMonoid", "NegZeroClass.toNeg", "AddMonoid.toAddZeroClass", "AddLeftMono", "Preorder.toLE", "AddZeroClass.toAddZero", "SubtractionMonoid.toSubNegZeroMonoid", "LE.le", "SubNegZeroMonoid.toNegZeroClass", "AddGroup", "AddGroup.toSubNegMonoid", "AddZero.toAdd", ...
true
_private.Init.Data.Array.Find.0.Array.getElem_zero_flatten.proof._simp_1_2
Init.Data.Array.Find
[ "List.sum", "Zero.ofOfNat0", "Membership.mem", "Exists", "instOfNatNat", "List", "And", "List.instMembership", "List.sum_pos_iff_exists_pos_nat", "Nat", "LT.lt", "propext", "instAddNat", "instLTNat", "OfNat.ofNat", "Eq" ]
false
meromorphicAt_of_meromorphicOrderAt_ne_zero
Mathlib.Analysis.Meromorphic.Order
[ "False", "Mathlib.Tactic.Contrapose.contrapose₂", "NormedSpace", "eq_false", "congrArg", "meromorphicOrderAt", "Ne", "Int", "True", "eq_self", "of_eq_true", "NontriviallyNormedField", "Zero.toOfNat0", "NontriviallyNormedField.toNormedField", "congrFun'", "WithTop.zero", "meromorphicO...
true
TopologicalSpace.Compacts.mem_singleton
Mathlib.Topology.Sets.Compacts
[ "TopologicalSpace.Compacts.instSingleton", "Iff.rfl", "Membership.mem", "TopologicalSpace", "Iff", "TopologicalSpace.Compacts.instSetLike", "Singleton.singleton", "Eq", "SetLike.instMembership", "TopologicalSpace.Compacts" ]
true
_private.Mathlib.Analysis.Calculus.FDeriv.Measurable.0.FDerivMeasurableAux.isOpen_B._simp_1_2
Mathlib.Analysis.Calculus.FDeriv.Measurable
[ "Membership.mem", "TopologicalSpace", "True", "eq_true", "IsOpen", "isOpen_biUnion", "Eq", "Set.instMembership", "Set.iUnion", "Set" ]
false
Nat.le_of_ble_eq_true
Init.Prelude
[ "Nat.ble", "Nat.brecOn", "LE.le", "instLENat", "Bool.true", "Nat.le_of_ble_eq_true._f", "Nat", "Bool", "Eq" ]
true
_private.Mathlib.SetTheory.Ordinal.Veblen.0.Ordinal.veblenWith.match_1.eq_1
Mathlib.SetTheory.Ordinal.Veblen
[ "Ordinal.partialOrder", "PartialOrder.toPreorder", "Membership.mem", "Ordinal.veblenWith.match_1", "Subtype", "Subtype.mk", "Eq.refl", "Set.Iio", "Eq", "Set.instMembership", "Ordinal", "Set" ]
true
CategoryTheory.WithTerminal.equivComma_functor_map_left_app
Mathlib.CategoryTheory.WithTerminal.Basic
[ "CategoryTheory.Functor", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.Functor.id", "CategoryTheory.WithTerminal.incl", "CategoryTheory.WithTerminal.equivComma", "CategoryTheory.Equivalence.functor", "Cate...
true
SimpleGraph.EdgeLabeling.compRight_get
Mathlib.Combinatorics.SimpleGraph.Coloring.EdgeLabeling
[ "SimpleGraph.EdgeLabeling.compRight", "SimpleGraph.Adj", "SimpleGraph.EdgeLabeling", "SimpleGraph", "Eq", "rfl", "SimpleGraph.EdgeLabeling.get" ]
true
BoolRing.instCategory._proof_2
Mathlib.Algebra.Category.BoolRing
[ "BoolRing.carrier", "CommSemiring.toSemiring", "BoolRing.booleanRing", "BoolRing", "BooleanRing.toCommRing", "id", "BoolRing.Hom.hom'", "_private.Mathlib.Algebra.Category.BoolRing.0.BoolRing.Hom.mk", "RingHom.comp", "CommRing.toCommSemiring", "BoolRing.Hom", "Eq.refl", "RingHom.id", "Semir...
false
CochainComplex.singleFunctors.eq_1
Mathlib.Algebra.Homology.DerivedCategory.SingleTriangle
[ "HomologicalComplex.instCategory", "AddMonoid.toAddSemigroup", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CochainComplex.singleFunctors._proof_6", "HomologicalComplex.Hom.isoOfComponents", "AddGroupWithOne.toAddMonoidWithOne", "AddRightCancelSemigroup.toAddSemigroup", "CochainComplex.i...
true
TopologicalSpace.Clopens.exists_finset_eq_sup_prod
Mathlib.Topology.ClopenBox
[ "Set.instSProd", "Eq.mpr", "Lattice.toSemilatticeSup", "TopologicalSpace.Clopens.exists_prod_subset", "instDecidableEqProd", "SProd.sprod", "congrArg", "TopologicalSpace.Clopens.instBooleanAlgebra", "Finset", "Function.sometimes_spec", "PartialOrder.toPreorder", "TopologicalSpace.Clopens.instP...
true
Subalgebra.mulMap_comm
Mathlib.LinearAlgebra.TensorProduct.Subalgebra
[ "Subalgebra.instSetLike", "AlgEquiv.toAlgHom", "congrArg", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "Algebra", "Subalgebra.instModuleSubtypeMem._proof_1", "Algebra.toSMul", "Membership.mem", "Algebra.toModule", "Algebra.id", "Subtype", "Algebra.TensorProduct.includeLeft", "...
true
instSliceableByteArrayNatByteSlice_3
Std.Data.ByteSlice
[ "Std.Rco", "Std.Roc.Sliceable", "Std.instHasRcoIntersectionNat_1", "ByteSlice", "Std.Roc.HasRcoIntersection.intersection", "instOfNatNat", "Std.Rco.upper", "Nat", "Std.Roc.Sliceable.mk", "Std.Rco.mk", "ByteArray", "OfNat.ofNat", "Std.Roc", "Std.Rco.lower", "ByteArray.toByteSlice", "Byt...
true
SSet.stdSimplex.faceRepresentableBy._proof_6
Mathlib.AlgebraicTopology.SimplicialSet.StdSimplex
[ "SSet.stdSimplex.objMk", "Equiv.apply_symm_apply", "Opposite", "Equiv.instEquivLike", "SimplexCategory.instFintypeToTypeOrderHomFinHAddNatLenOfNat", "Finset.univ", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "OrderIso.toOrderEmbedding", "Finset", "PartialOrder.toPreorde...
false
Std.DHashMap.Raw.get?_inter_of_mem_right
Std.Data.DHashMap.RawLemmas
[ "Std.DHashMap.Raw.WF", "Std.DHashMap.Raw.instMembershipOfBEqOfHashable", "Eq.mpr", "Std.DHashMap.Internal.Raw₀.get?", "Std.DHashMap.Internal.Raw₀.inter", "Std.DHashMap.Internal.Raw₀.contains", "Std.DHashMap.Internal.Raw.inter_eq", "congrArg", "Std.DHashMap.Raw.get?.congr_simp", "Std.DHashMap.Inter...
true
IsAddLeftRegular.all
Mathlib.Algebra.Group.Defs
[ "isLeftCancelAdd_iff", "IsLeftCancelAdd", "Iff.mp", "IsAddLeftRegular", "Add" ]
true
stdSimplex.instUniqueElemForall._proof_1
Mathlib.Analysis.Convex.StdSimplex
[ "NonAssocSemiring.toAddCommMonoidWithOne", "IsOrderedRing.toZeroLEOneClass", "IsOrderedRing", "PartialOrder.toPreorder", "Preorder.toLE", "PartialOrder", "zero_le_one._simp_1", "AddCommMonoidWithOne.toAddMonoidWithOne", "LE.le", "AddMonoidWithOne.toOne", "Pi.instOne", "True", "of_eq_true", ...
false
DirectLimit.Ring.of_apply
Mathlib.Algebra.Colimit.DirectLimit
[ "DirectLimit.setoid", "Preorder.toLE", "RingHom", "LE.le", "DirectLimit", "Quotient.mk", "DirectLimit.Ring.of", "DirectLimit.instNonAssocSemiringOfRingHomClass", "NonAssocSemiring", "RingHom.instFunLike", "Quotient", "IsDirectedOrder", "Nonempty", "Eq.refl", "DirectedSystem", "Sigma.mk...
true
_private.Mathlib.RingTheory.Extension.Cotangent.BaseChange.0.Algebra.tensorH1CotangentOfFlat._proof_7
Mathlib.RingTheory.Extension.Cotangent.BaseChange
[ "CommRing", "Algebra.to_smulCommClass", "TensorProduct.leftHasSMul", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "Algebra.Extension.instModuleCotangent", "IsScalarTower.right", "CommRing.toNonUnitalCommRing", "_private.Mathlib.RingTheory.Extension.Cotangent.BaseChange.0.Alg...
false
WeierstrassCurve.Jacobian.Equation.eq_1
Mathlib.AlgebraicGeometry.EllipticCurve.Jacobian.Basic
[ "Finsupp.instAddZeroClass", "Nat.instMulZeroClass", "CommRing", "CommSemiring.toSemiring", "AddMonoid.toAddZeroClass", "Nat.instAddMonoid", "RingHom", "instOfNatNat", "WeierstrassCurve.Jacobian.Equation", "WeierstrassCurve.Jacobian", "MvPolynomial.eval", "CommRing.toCommSemiring", "RingHom.i...
true
Int.fdiv_eq_ediv_of_nonneg
Init.Data.Int.DivMod.Lemmas
[ "Int.fdiv_zero", "Int.instDiv", "instHDiv", "Int.zero_fdiv", "congrArg", "_private.Init.Data.Int.DivMod.Lemmas.0.Int.fdiv_eq_ediv_of_nonneg.match_1_1", "Int.fdiv", "HDiv.hDiv", "Int.ofNat", "Int", "LE.le", "Nat.cast", "instOfNat", "Nat", "congr", "Int.zero_ediv", "True", "eq_self",...
true
AddMonoidAlgebra.semiring._proof_1
Mathlib.Algebra.MonoidAlgebra.Defs
[ "Mul.mk", "One.mk", "AddMonoid.toAddSemigroup", "NonUnitalSemiring.mul_assoc", "AddMonoid.toAddZeroClass", "Semigroup.mk", "NonAssocSemiring.toOne", "NonUnitalNonAssocSemiring.toMul", "npowRecAuto", "NonUnitalSemiring.toNonUnitalNonAssocSemiring", "instOfNatNat", "One.one", "Mul.mul", "Nat...
false
Lean.findField?
Lean.Structure
[ "Inhabited.default", "instInhabitedOption", "Lean.Name", "Lean.Environment", "Option" ]
true
Std.DTreeMap.Internal.Impl.size_balanceR
Std.Data.DTreeMap.Internal.Balancing
[ "Eq.mpr", "congrArg", "Std.DTreeMap.Internal.Impl.Balanced", "Std.DTreeMap.Internal.Impl.balanceR_eq_balanceRErase", "Std.DTreeMap.Internal.Impl.size", "id", "instOfNatNat", "Std.DTreeMap.Internal.Impl.BalanceLPrecond", "instHAdd", "HAdd.hAdd", "Nat", "Std.DTreeMap.Internal.Impl.balanceR", "...
true
AList.toFinmap_entries
Mathlib.Data.Finmap
[ "Multiset", "Multiset.ofList", "AList", "Finmap.entries", "Eq", "AList.toFinmap", "Sigma", "rfl", "AList.entries" ]
true
SpectralMap.coe_id
Mathlib.Topology.Spectral.Hom
[ "SpectralMap.id", "id", "SpectralMap", "TopologicalSpace", "SpectralMap.instFunLike", "Eq", "DFunLike.coe", "rfl" ]
true
Matrix.toEuclideanLin_apply_piLp_toLp
Mathlib.Analysis.InnerProductSpace.PiL2
[ "NormedCommRing.toNormedRing", "Pi.Function.module", "Algebra.to_smulCommClass", "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "Semiring.toModule", "NormedRing.toRing", "Matrix.module", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "Matrix", "Function.smulCommClass", "Matrix.to...
true
DifferentiableOn.isConservativeOn
Mathlib.Analysis.Complex.HasPrimitives
[ "AddGroup.toSubtractionMonoid", "Eq.mpr", "NegZeroClass.toNeg", "NormedCommRing.toSeminormedCommRing", "Complex.integral_boundary_rect_eq_zero_of_differentiableOn", "Real", "instHSMul", "Semiring.toModule", "HMul.hMul", "Real.lattice", "NormedSpace", "Complex.wedgeIntegral", "congrArg", "D...
true
_private.Mathlib.Analysis.Asymptotics.TVS.0.Asymptotics.isLittleOTVS_iff_isLittleO._simp_1_1
Mathlib.Analysis.Asymptotics.TVS
[ "Norm.norm", "Real.instLE", "Real", "HMul.hMul", "Real.instZero", "Filter.Eventually", "Real.instLT", "Norm", "LE.le", "Real.instMul", "LT.lt", "propext", "Zero.toOfNat0", "Asymptotics.IsLittleO", "Asymptotics.isLittleO_iff", "OfNat.ofNat", "Eq", "Filter", "instHMul" ]
false
Nat.add_sub_add_right
Init.Data.Nat.Basic
[ "Nat.recAux", "_private.Init.Data.Nat.Basic.0.Nat.add_sub_add_right._simp_1_1", "congrArg", "HSub.hSub", "instSubNat", "instOfNatNat", "instHAdd", "instHSub", "HAdd.hAdd", "Nat", "congr", "True", "eq_self", "of_eq_true", "instAddNat", "congrFun'", "OfNat.ofNat", "Eq", "Nat.succ_s...
true
CategoryTheory.Iso.inv_hom_id_app_apply
Mathlib.CategoryTheory.Types.Basic
[ "CategoryTheory.Functor", "congrArg", "CategoryTheory.ConcreteCategory.hom", "CategoryTheory.Functor.category", "CategoryTheory.CategoryStruct.id", "Eq.mp", "id", "CategoryTheory.Iso", "CategoryTheory.id_apply", "CategoryTheory.ConcreteCategory", "Mathlib.Tactic.Elementwise.hom_elementwise", "...
true
_private.Lean.Compiler.LCNF.Probing.0.Lean.Compiler.LCNF.Probe.getLetValues.match_1
Lean.Compiler.LCNF.Probing
[ "Lean.Compiler.LCNF.LetValue", "Prod.mk", "Lean.Compiler.LCNF.Purity", "Array", "Unit", "Prod", "Prod.casesOn" ]
false
Std.Iterators.Types.DropWhile.dropping
Std.Data.Iterators.Combinators.Monadic.DropWhile
[ "Std.Iterators.Types.DropWhile", "ULift", "Bool", "Std.Iterators.PostconditionT" ]
true
EuclideanSpace.inner_single_right
Mathlib.Analysis.InnerProductSpace.PiL2
[ "NonUnitalCommRing.toNonUnitalNonAssocCommRing", "fact_one_le_two_ennreal", "HMul.hMul", "Finset.univ", "Finset.sum_ite_eq'", "Inner.inner", "congrArg", "CommSemiring.toSemiring", "Finset", "MulZeroClass.zero_mul", "AddMonoid.toAddZeroClass", "Nat.instAtLeastTwoHAddOfNat", "RingHom", "Memb...
true
_private.Mathlib.Probability.Distributions.SetBernoulli.0.ProbabilityTheory.setBernoulli_empty._proof_1_2
Mathlib.Probability.Distributions.SetBernoulli
[ "Set.ext", "False", "Lean.Grind.and_eq_of_eq_true_right", "Real", "Lean.Grind.nestedProof", "eq_false", "Lean.Grind.iff_eq", "Real.instZero", "congrArg", "Classical.byContradiction", "setOf", "Subtype.casesOn", "Membership.mem", "Exists", "Eq.mp", "Set.Elem", "id", "Subtype", "Le...
false
_private.Mathlib.Data.ENNReal.Inv.0.ENNReal.exists_mem_Ico_zpow._simp_1_1
Mathlib.Data.ENNReal.Inv
[ "ENNReal.ofNNReal", "NNReal", "ENNReal.coe_eq_zero", "NNReal.instZero", "ENNReal", "propext", "Zero.toOfNat0", "ENNReal.instZero", "OfNat.ofNat", "Eq" ]
false
Aesop.RuleStats.mk._flat_ctor
Aesop.Stats.Basic
[ "Aesop.Nanos", "Aesop.DisplayRuleName", "Aesop.RuleStats", "Bool", "Aesop.RuleStats.mk" ]
false
Aesop.GoalData.ctorIdx
Aesop.Tree.Data
[ "Aesop.GoalData", "Nat" ]
false
_private.Mathlib.Algebra.Order.Ring.Int.0.Nat.exists_add_mul_eq_of_gcd_dvd_of_mul_pred_le.match_1_1
Mathlib.Algebra.Order.Ring.Int
[ "Dvd.dvd", "HMul.hMul", "instMulNat", "Exists.casesOn", "Nat.instDvd", "Nat", "Exists.intro", "Eq", "instHMul" ]
false
_private.Init.Internal.Order.Lemmas.0.Array.mapM.map.eq_def
Init.Internal.Order.Lemmas
[ "Pure.pure", "Array.push", "Monad.toApplicative", "_private.Init.Data.Array.Basic.0.Array.mapM.map.eq_def", "instOfNatNat", "_private.Init.Data.Array.Basic.0.Array.mapM.map", "Applicative.toPure", "dite", "Array", "GetElem.getElem", "instHAdd", "Array.instGetElemNatLtSize", "HAdd.hAdd", "N...
true
ModularForm.cuspFormSubmodule.eq_1
Mathlib.NumberTheory.ModularForms.CuspFormSubmodule
[ "ModularForm", "Submodule", "RingHomSurjective.ids", "Real", "Subgroup.HasDetOne", "AddCommGroup.toAddCommMonoid", "Matrix", "instDecidableEqFin", "ModularForm.instAddCommGroup", "LinearMap.range", "Real.semiring", "Subgroup", "instOfNatNat", "Int", "Units.instGroup", "Real.commRing", ...
true
TopCat.pathEquiv_symm_apply_hom_hom_apply
Mathlib.Topology.Homotopy.TopCat.Path
[ "ULift.topologicalSpace", "Real", "Equiv.instEquivLike", "ContinuousMap", "ULift", "PseudoMetricSpace.toUniformSpace", "Membership.mem", "TopCat.Path", "Set.Elem", "Equiv", "TopCat.I.homeomorph", "TopCat.Path.hom", "TopCat.str", "TopCat.pathEquiv", "Homeomorph.instEquivLike", "TopCat.c...
true
CategoryTheory.Presieve.HasPairwisePullbacks.casesOn
Mathlib.CategoryTheory.Sites.Sieves
[ "CategoryTheory.Presieve.HasPairwisePullbacks", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Presieve", "CategoryTheory.Limits.HasPullback", "CategoryTheory.Presieve.HasPairwisePullbacks.rec", "CategoryTheory.Presieve.HasPairwisePullbacks.mk", "CategoryTheory.Category.toCate...
false
CategoryTheory.Comma.equivProd_functor_obj
Mathlib.CategoryTheory.Comma.Basic
[ "CategoryTheory.Functor", "CategoryTheory.Comma.right", "CategoryTheory.Comma.left", "Prod.mk", "CategoryTheory.Equivalence.functor", "CategoryTheory.Comma", "CategoryTheory.commaCategory", "CategoryTheory.discreteCategory", "PUnit", "CategoryTheory.prod'", "Eq.refl", "Prod", "CategoryTheory...
true
Array.scanrM.loop._unary
Batteries.Data.Array.Basic
[ "Pure.pure", "Array.reverse", "Array.push", "Monad.toApplicative", "InvImage", "HSub.hSub", "WellFounded.Nat.fix", "Array.scanrM._proof_2", "PSigma.casesOn", "instSubNat", "instOfNatNat", "LE.le", "instLENat", "Applicative.toPure", "dite", "Array", "GetElem.getElem", "Array.scanrM....
false
Subsemigroup.coe_comap
Mathlib.Algebra.Group.Subsemigroup.Operations
[ "MulHom", "Subsemigroup.comap", "Mul", "SetLike.coe", "Set.preimage", "Subsemigroup", "MulHom.funLike", "Subsemigroup.instSetLike", "Eq", "DFunLike.coe", "rfl", "Set" ]
true
MvPolynomial.coeffs_C
Mathlib.Algebra.MvPolynomial.Basic
[ "Finsupp.instAddZeroClass", "Eq.mpr", "False", "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "Decidable.casesOn", "ite_eq_right_iff._simp_1", "eq_false", "congrArg", "CommSemiring.toSemiring", "Finset", "AddMonoid.toAddZeroClass", "MvPolynomial.coeffs", "MvPolynomial.coeff_C", "Fi...
true
Nat.sqrt.lt_iter_succ_sq
Mathlib.Data.Nat.Sqrt
[ "HMul.hMul", "instMulNat", "instOfNatNat", "Nat.sqrt.lt_iter_succ_sq._unary", "instHAdd", "Nat.sqrt.iter", "HAdd.hAdd", "Nat", "LT.lt", "PSigma.mk", "instAddNat", "instLTNat", "OfNat.ofNat", "instHMul" ]
true
_private.Init.Data.Range.Polymorphic.Int.0.Std.PRange.instLawfulUpwardEnumerableInt._proof_3
Init.Data.Range.Polymorphic.Int
[ "False", "Lean.Omega.Constraint.not_sat'_of_isImpossible", "Int.natCast_add", "of_decide_eq_true", "le_of_le_of_eq", "Lean.Omega.Constraint.mk", "Int.add_one_le_of_lt", "HSub.hSub", "Lean.Omega.Int.add_congr", "Lean.Omega.LinearCombo.eval", "Option.some", "Int.lt_or_gt_of_ne", "id", "instD...
false
ExteriorAlgebra.map._proof_1
Mathlib.LinearAlgebra.ExteriorAlgebra.Basic
[ "CommRing", "Semiring.toModule", "QuadraticMap.instZero", "CommSemiring.toSemiring", "AddCommGroup.toAddCommMonoid", "QuadraticForm", "AddCommGroup", "LinearMap.toAddHom", "QuadraticMap.instFunLike", "LinearMap", "NonUnitalNonAssocSemiring.toAddCommMonoid", "CommRing.toCommSemiring", "NonAss...
false
WithOne.coe_inv._simp_2
Mathlib.Algebra.Group.WithOne.Defs
[ "WithOne", "Inv", "WithOne.instInv", "WithOne.coe", "Inv.inv", "Eq.symm", "Eq", "WithOne.coe_inv" ]
false
hasSum_of_isLUB_of_nonneg
Mathlib.Topology.Algebra.InfiniteSum.Order
[ "OrderTopology", "LinearOrder.supConvergenceClass", "Finset", "LinearOrder", "AddMonoid.toAddZeroClass", "PartialOrder.toPreorder", "Preorder.toLE", "SemilatticeInf.toPartialOrder", "AddZeroClass.toAddZero", "DistribLattice.toLattice", "Finset.partialOrder", "LE.le", "AddCommMonoid", "Topo...
true
IsLocalization.bot_lt_comap_prime
Mathlib.RingTheory.Localization.Ideal
[ "IsLocalization.bot_lt_under_prime", "IsDomain", "CommRing", "Preorder.toLT", "Semiring.toModule", "IsLocalization", "CommSemiring.toSemiring", "PartialOrder.toPreorder", "Algebra", "Preorder.toLE", "nonZeroDivisors", "Ne", "Submodule.instPartialOrder", "Bot.bot", "LE.le", "Ideal", "...
true
_private.Mathlib.NumberTheory.ModularForms.EisensteinSeries.UniformConvergence.0.EisensteinSeries.eisensteinSeries_tendstoLocallyUniformly._simp_1_1
Mathlib.NumberTheory.ModularForms.EisensteinSeries.UniformConvergence
[ "UniformSpace", "tendstoLocallyUniformly_iff_forall_isCompact", "TendstoUniformlyOn", "TopologicalSpace", "propext", "LocallyCompactSpace", "Eq", "TendstoLocallyUniformly", "Filter", "IsCompact", "Set" ]
false
Submonoid.center.smulCommClass_left
Mathlib.GroupTheory.Submonoid.Center
[ "Monoid", "Commute.left_comm", "instSMulOfMul", "Monoid.toMulOneClass", "Membership.mem", "MulOne.toMul", "Subtype", "IsMulCentral.comm", "Submonoid.smul", "MulOneClass.toMulOne", "Subtype.prop", "Monoid.toSemigroup", "Submonoid.instSetLike", "SMulCommClass.mk", "Subtype.val", "SetLike...
true
Submonoid.rec
Mathlib.Algebra.Group.Submonoid.Defs
[ "MulOne.toOne", "Membership.mem", "MulOne.toMul", "MulOneClass.toMulOne", "Subsemigroup", "Subsemigroup.carrier", "One.toOfNat1", "Submonoid.mk", "MulOneClass", "OfNat.ofNat", "Set.instMembership", "Submonoid", "Set" ]
false
Filter.hnot_principal
Mathlib.Order.Filter.Basic
[ "CoheytingAlgebra.toHNot", "congrArg", "Compl.compl", "Set.univ", "Filter.instHNot", "Filter.principal_univ", "Eq.mp", "Filter.instSDiff", "Filter.principal_sdiff_principal", "HNot.hnot", "_private.Mathlib.Order.Filter.Basic.0.Filter.hnot_principal._simp_1_1", "Set.instCompl", "SDiff.sdiff",...
true
Submodule.subtype_injective
Mathlib.Algebra.Module.Submodule.LinearMap
[ "Submodule", "Submodule.addCommMonoid", "LinearMap.instFunLike", "Membership.mem", "Subtype", "Submodule.module", "Subtype.coe_injective", "LinearMap", "AddCommMonoid", "Submodule.setLike", "Submodule.subtype", "Semiring", "Function.Injective", "Module", "RingHom.id", "Semiring.toNonAs...
true
Finset.tendsto_Ioc_atBot_prod_atTop
Mathlib.Order.Filter.AtTopBot.Interval
[ "Eq.mpr", "Set.Ioc", "SetLike.mem_coe._simp_1", "Preorder.toLT", "_private.Mathlib.Order.Filter.AtTopBot.Interval.0.Finset.tendsto_Ioc_atBot_prod_atTop._simp_1_2", "SProd.sprod", "congrArg", "Finset", "Filter.Eventually", "PartialOrder.toPreorder", "Preorder.toLE", "Membership.mem", "id", ...
true
_private.Mathlib.Logic.Basic.0.apply_ite_left._proof_1_1
Mathlib.Logic.Basic
[ "False", "eq_false", "HEq.refl", "Classical.byContradiction", "Decidable", "Eq.mp", "id", "ite_cond_eq_true", "Lean.Grind.em", "Or.casesOn", "Lean.Grind.nestedDecidable", "True", "eq_true", "eq_of_heq", "Eq.ndrec", "Eq.refl", "HEq", "Or", "Eq.symm", "ite_cond_eq_false", "Eq",...
false
UInt64.reduceBNe._regBuiltin.UInt64.reduceBNe.declare_1._@.Lean.Meta.Tactic.Simp.BuiltinSimprocs.UInt.4002762760._hygCtx._hyg.3
Lean.Meta.Tactic.Simp.BuiltinSimprocs.UInt
[ "IO", "instOfNatNat", "Lean.Name.num", "Lean.Name.str", "Lean.Name.anonymous", "Bool.true", "Unit", "Sum.inr", "Nat", "Lean.Meta.Simp.DSimproc", "UInt64.reduceBNe._@.Lean.Meta.Tactic.Simp.BuiltinSimprocs.UInt.4002762760._hygCtx._hyg.3", "Lean.Meta.Simp.addSimprocBuiltinAttr", "OfNat.ofNat", ...
false
_private.Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.FinTwo.0.Matrix.isParabolic_conj_iff._simp_1_2
Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.FinTwo
[ "Set.mem_range", "Membership.mem", "Exists", "propext", "Set.range", "Eq", "Set.instMembership", "Set" ]
false
_private.Mathlib.RingTheory.MvPolynomial.MonomialOrder.0.MonomialOrder.leadingTerm_eq_zero_iff._simp_1_2
Mathlib.RingTheory.MvPolynomial.MonomialOrder
[ "Nat.instMulZeroClass", "AddMonoidAlgebra.semiring", "Semiring.toModule", "AddMonoidAlgebra.addAddCommMonoid", "CommSemiring.toSemiring", "MvPolynomial.monomial", "LinearMap.instFunLike", "Finsupp.instAddMonoid", "Nat.instAddMonoid", "MvPolynomial.monomial_eq_zero", "LinearMap", "CommSemiring"...
false
Lean.IR.FnBody.sset
Lean.Compiler.IR.Basic
[ "Lean.IR.FnBody", "Lean.IR.VarId", "Nat", "Lean.IR.FnBody.sset", "Lean.IR.IRType" ]
true
instDecidableEqInt64
Init.Data.SInt.Basic
[ "Int64", "Int64.decEq", "DecidableEq" ]
true
CategoryTheory.ShortComplex.LeftHomologyMapData.ofIsColimitCokernelCofork_φK
Mathlib.Algebra.Homology.ShortComplex.LeftHomology
[ "CategoryTheory.Limits.HasZeroMorphisms", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "CategoryTheory.Limits.WalkingParallelPair", "CategoryTheory.Limits.CokernelCofork", "CategoryTheory.ShortComplex", "CategoryTheory.ShortComplex.X₁", "CategoryTheory.ShortComplex.instCategory", "Categor...
true
finSigmaFinEquiv.match_1
Mathlib.Algebra.BigOperators.Fin
[ "instOfNatNat", "Nat", "Nat.zero", "OfNat.ofNat", "Fin", "Nat.succ", "Nat.casesOn" ]
false
IsAlgebraic.of_aeval_of_transcendental
Mathlib.RingTheory.Algebraic.Basic
[ "CommRing", "IsAlgebraic", "CommSemiring.toSemiring", "AlgHom", "AlgHom.funLike", "Polynomial.algebraOfAlgebra", "Algebra", "Algebra.id", "Polynomial.ring", "Polynomial", "Mathlib.Tactic.Contrapose.contrapose₁", "Transcendental", "CommRing.toCommSemiring", "Polynomial.semiring", "Polynom...
true
CategoryTheory.Limits.Multifork.isoOfι
Mathlib.CategoryTheory.Limits.Shapes.Multiequalizer
[ "CategoryTheory.Limits.WalkingMulticospan.instSmallCategory", "CategoryTheory.Iso.refl", "CategoryTheory.Iso", "CategoryTheory.Limits.Cone.pt", "CategoryTheory.Limits.Multifork.condition", "CategoryTheory.Limits.MulticospanIndex", "CategoryTheory.Limits.WalkingMulticospan", "CategoryTheory.Limits.Mult...
true
_private.Mathlib.Combinatorics.Digraph.Orientation.0.Digraph.toSimpleGraphStrict_bot.match_1_1
Mathlib.Combinatorics.Digraph.Orientation
[ "Digraph", "SimpleGraph.Adj", "Digraph.toSimpleGraphStrict", "Digraph.completeAtomicBooleanAlgebra", "Ne", "Bot.bot", "And.casesOn", "And", "And.intro", "Digraph.Adj", "CompleteBooleanAlgebra.toBooleanAlgebra", "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra", "BooleanAlgebra.toBot" ]
false
Std.ExtDHashMap.not_mem_diff_of_not_mem_left
Std.Data.ExtDHashMap.Lemmas
[ "Std.ExtDHashMap.instMembershipOfEquivBEqOfLawfulHashable", "Std.DHashMap.not_mem_diff_of_not_mem_left", "Std.ExtDHashMap.inductionOn₂", "Membership.mem", "LawfulHashable", "SDiff.sdiff", "EquivBEq", "Std.ExtDHashMap", "Hashable", "Std.ExtDHashMap.instSDiffOfEquivBEqOfLawfulHashable", "BEq", "...
true
Lean.Lsp.instToJsonTypeDefinitionParams
Lean.Data.Lsp.LanguageFeatures
[ "Lean.Lsp.TypeDefinitionParams", "Lean.Lsp.instToJsonTypeDefinitionParams.toJson", "Lean.ToJson.mk", "Lean.ToJson" ]
true
Lean.Parser.ParserModuleContext.mk.noConfusion
Lean.Parser.Types
[ "id", "Lean.Parser.ParserModuleContext.mk", "Lean.Parser.ParserModuleContext", "List", "Lean.Name", "Lean.Options", "Eq", "Lean.Parser.ParserModuleContext.noConfusion", "Lean.Environment", "Lean.OpenDecl" ]
false
Lean.Lsp.TextDocumentSyncOptions.mk.injEq
Lean.Data.Lsp.TextSync
[ "Eq.propIntro", "Lean.Lsp.TextDocumentSyncKind", "Lean.injEq_helper", "Lean.Lsp.TextDocumentSyncOptions", "Lean.Lsp.TextDocumentSyncOptions.mk.inj", "Lean.Lsp.SaveOptions", "And", "Bool", "Eq.ndrec", "Eq.refl", "Lean.Lsp.TextDocumentSyncOptions.mk", "Eq", "Option" ]
true
ZeroHom.toFun_eq_coe
Mathlib.Algebra.Group.Hom.Defs
[ "ZeroHom.funLike", "ZeroHom.toFun", "ZeroHom", "Eq", "DFunLike.coe", "rfl", "Zero" ]
true
Lean.Meta.Grind.Arith.CommRing.PolyDerivation.normEq0.noConfusion
Lean.Meta.Tactic.Grind.Arith.CommRing.Types
[ "Lean.Grind.CommRing.Poly", "Lean.Meta.Grind.Arith.CommRing.PolyDerivation.noConfusion", "Lean.Meta.Grind.Arith.CommRing.PolyDerivation.normEq0", "id", "Lean.Meta.Grind.Arith.CommRing.PolyDerivation", "Lean.Meta.Grind.Arith.CommRing.EqCnstr", "Eq" ]
false
CategoryTheory.Functor.RightExtension.isPointwiseRightKanExtensionAtOfIso'._proof_2
Mathlib.CategoryTheory.Functor.KanExtension.Pointwise
[ "CategoryTheory.Category.assoc", "CategoryTheory.Limits.Cone.π", "CategoryTheory.Functor", "CategoryTheory.Comma.right", "CategoryTheory.CategoryStruct.toQuiver", "Quiver.Hom", "congrArg", "CategoryTheory.Functor.category", "CategoryTheory.Functor.comp", "CategoryTheory.CostructuredArrow.hom", "...
false
_private.Mathlib.Topology.UniformSpace.UniformEmbedding.0.IsUniformInducing.mk'._simp_1_2
Mathlib.Topology.UniformSpace.UniformEmbedding
[ "Filter.instMembership", "Membership.mem", "Filter.ext_iff", "Iff", "propext", "Eq", "Filter", "Set" ]
false
Batteries.Tactic._aux_Batteries_Tactic_Unreachable___macroRules_Batteries_Tactic_unreachableConv_1
Batteries.Tactic.Unreachable
[ "Pure.pure", "Lean.TSyntax", "Lean.MonadRef.mkInfoFromRefPos", "instMonadExceptOfMonadExceptOf", "Lean.SourceInfo", "MonadExcept.throw", "Lean.Syntax.isOfKind", "Lean.Name.mkStr5", "EStateM.instMonad", "Lean.Macro.Exception", "Lean.Syntax.atom", "Lean.TSyntax.mk", "Lean.Syntax", "Lean.Name...
false
Mathlib.Meta.Positivity.Strictness.nonzero.elim
Mathlib.Tactic.Positivity.Core
[ "PULift.up", "Mathlib.Meta.Positivity.Strictness", "Lean.Expr.const", "Mathlib.Meta.Positivity.Strictness.ctorElim", "Lean.Expr.sort", "Lean.Level", "List.cons", "Lean.Literal.natVal", "Qq.Quoted", "Nat", "Lean.Name.mkStr2", "Mathlib.Meta.Positivity.Strictness.nonzero", "Lean.Expr.app", "L...
false
MonomialOrder.lex_le_iff
Mathlib.Data.Finsupp.MonomialOrder
[ "Nat.instMulZeroClass", "Preorder.toLT", "Equiv.instEquivLike", "Lex", "MonomialOrder.syn", "LinearOrder", "Iff.rfl", "AddMonoid.toAddZeroClass", "WellFoundedGT", "PartialOrder.toPreorder", "Preorder.toLE", "Nat.instAddMonoid", "SemilatticeInf.toPartialOrder", "DistribLattice.toLattice", ...
true