module stringlengths 16 90 | startPos dict | endPos dict | goals listlengths 0 96 | ppTac stringlengths 1 14.5k | elaborator stringclasses 366
values | kind stringclasses 370
values |
|---|---|---|---|---|---|---|
Mathlib.RingTheory.HahnSeries.Lex | {
"line": 418,
"column": 47
} | {
"line": 418,
"column": 58
} | [
{
"pp": "Γ : Type u_1\nR : Type u_2\ninst✝³ : LinearOrder Γ\ninst✝² : PartialOrder R\nΓ' : Type u_3\ninst✝¹ : LinearOrder Γ'\nf : Γ ↪o Γ'\ninst✝ : Zero R\na b : Lex R⟦Γ⟧\ni : Γ\nhj : ∀ j < i, (ofLex a).coeff j = (ofLex b).coeff j\nhi : (ofLex a).coeff i < (ofLex b).coeff i\n⊢ (embDomain f (ofLex a)).coeff (f i)... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.RingTheory.HahnSeries.Lex | {
"line": 421,
"column": 10
} | {
"line": 421,
"column": 21
} | [
{
"pp": "case pos\nΓ : Type u_1\nR : Type u_2\ninst✝³ : LinearOrder Γ\ninst✝² : PartialOrder R\nΓ' : Type u_3\ninst✝¹ : LinearOrder Γ'\nf : Γ ↪o Γ'\ninst✝ : Zero R\na b : Lex R⟦Γ⟧\ni : Γ\nhj : ∀ j < i, (ofLex a).coeff j = (ofLex b).coeff j\nhi : (ofLex a).coeff i < (ofLex b).coeff i\nj' : Γ\nhki : f j' < f i\n⊢... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Cone | {
"line": 69,
"column": 39
} | {
"line": 69,
"column": 50
} | [
{
"pp": "T : Type u_1\ninst✝² : Ring T\ninst✝¹ : PartialOrder T\ninst✝ : IsOrderedRing T\na✝ a : T\n⊢ a ∈ (Subsemiring.nonneg T).carrier → -a ∈ (Subsemiring.nonneg T).carrier → a = 0",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"Eq.mpr",
"NegZeroClass.toNeg",
"NonAssocSemirin... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Cone | {
"line": 91,
"column": 49
} | {
"line": 91,
"column": 60
} | [
{
"pp": "S : Type u_1\nR : Type u_2\ninst✝² : Ring R\ninst✝¹ : SetLike S R\nC : S\ninst✝ : RingConeClass S R\nx✝ : PartialOrder R := PartialOrder.mkOfAddGroupCone C\nthis✝ : IsOrderedAddMonoid R\nthis : ZeroLEOneClass R\nx y : R\nxnn : 0 ≤ x\nynn : 0 ≤ y\n⊢ x * y - 0 ∈ C",
"usedConstants": [
"Eq.mpr",... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 94,
"column": 55
} | {
"line": 94,
"column": 66
} | [
{
"pp": "K : Type u_1\ninst✝⁸ : DivisionRing K\ninst✝⁷ : LinearOrder K\ninst✝⁶ : IsOrderedRing K\ninst✝⁵ : Archimedean K\nM : Type u_2\ninst✝⁴ : AddCommGroup M\ninst✝³ : LinearOrder M\ninst✝² : IsOrderedAddMonoid M\ninst✝¹ : Module K M\ninst✝ : IsOrderedModule K M\nu : ArchimedeanStrata K M\nc : FiniteArchimede... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 115,
"column": 53
} | {
"line": 115,
"column": 64
} | [
{
"pp": "K : Type u_1\ninst✝¹¹ : DivisionRing K\ninst✝¹⁰ : LinearOrder K\ninst✝⁹ : IsOrderedRing K\ninst✝⁸ : Archimedean K\nM : Type u_2\ninst✝⁷ : AddCommGroup M\ninst✝⁶ : LinearOrder M\ninst✝⁵ : IsOrderedAddMonoid M\ninst✝⁴ : Module K M\ninst✝³ : IsOrderedModule K M\nR : Type u_3\ninst✝² : AddCommGroup R\ninst... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 116,
"column": 53
} | {
"line": 116,
"column": 64
} | [
{
"pp": "K : Type u_1\ninst✝¹¹ : DivisionRing K\ninst✝¹⁰ : LinearOrder K\ninst✝⁹ : IsOrderedRing K\ninst✝⁸ : Archimedean K\nM : Type u_2\ninst✝⁷ : AddCommGroup M\ninst✝⁶ : LinearOrder M\ninst✝⁵ : IsOrderedAddMonoid M\ninst✝⁴ : Module K M\ninst✝³ : IsOrderedModule K M\nR : Type u_3\ninst✝² : AddCommGroup R\ninst... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 132,
"column": 59
} | {
"line": 132,
"column": 70
} | [
{
"pp": "K : Type u_1\ninst✝⁸ : DivisionRing K\ninst✝⁷ : LinearOrder K\ninst✝⁶ : IsOrderedRing K\ninst✝⁵ : Archimedean K\nM : Type u_2\ninst✝⁴ : AddCommGroup M\ninst✝³ : LinearOrder M\ninst✝² : IsOrderedAddMonoid M\ninst✝¹ : Module K M\ninst✝ : IsOrderedModule K M\nu : ArchimedeanStrata K M\nc : FiniteArchimede... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 133,
"column": 59
} | {
"line": 133,
"column": 70
} | [
{
"pp": "K : Type u_1\ninst✝⁸ : DivisionRing K\ninst✝⁷ : LinearOrder K\ninst✝⁶ : IsOrderedRing K\ninst✝⁵ : Archimedean K\nM : Type u_2\ninst✝⁴ : AddCommGroup M\ninst✝³ : LinearOrder M\ninst✝² : IsOrderedAddMonoid M\ninst✝¹ : Module K M\ninst✝ : IsOrderedModule K M\nu : ArchimedeanStrata K M\nc : FiniteArchimede... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 136,
"column": 10
} | {
"line": 136,
"column": 21
} | [
{
"pp": "K : Type u_1\ninst✝⁸ : DivisionRing K\ninst✝⁷ : LinearOrder K\ninst✝⁶ : IsOrderedRing K\ninst✝⁵ : Archimedean K\nM : Type u_2\ninst✝⁴ : AddCommGroup M\ninst✝³ : LinearOrder M\ninst✝² : IsOrderedAddMonoid M\ninst✝¹ : Module K M\ninst✝ : IsOrderedModule K M\nu : ArchimedeanStrata K M\nc : FiniteArchimede... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 142,
"column": 4
} | {
"line": 142,
"column": 51
} | [
{
"pp": "case pos\nK : Type u_1\ninst✝⁸ : DivisionRing K\ninst✝⁷ : LinearOrder K\ninst✝⁶ : IsOrderedRing K\ninst✝⁵ : Archimedean K\nM : Type u_2\ninst✝⁴ : AddCommGroup M\ninst✝³ : LinearOrder M\ninst✝² : IsOrderedAddMonoid M\ninst✝¹ : Module K M\ninst✝ : IsOrderedModule K M\nu : ArchimedeanStrata K M\nc : Finit... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 145,
"column": 4
} | {
"line": 145,
"column": 15
} | [
{
"pp": "case neg\nK : Type u_1\ninst✝⁸ : DivisionRing K\ninst✝⁷ : LinearOrder K\ninst✝⁶ : IsOrderedRing K\ninst✝⁵ : Archimedean K\nM : Type u_2\ninst✝⁴ : AddCommGroup M\ninst✝³ : LinearOrder M\ninst✝² : IsOrderedAddMonoid M\ninst✝¹ : Module K M\ninst✝ : IsOrderedModule K M\nu : ArchimedeanStrata K M\nc : Finit... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 163,
"column": 2
} | {
"line": 163,
"column": 13
} | [
{
"pp": "case h.e'_4.h\nK : Type u_1\ninst✝⁸ : DivisionRing K\ninst✝⁷ : LinearOrder K\ninst✝⁶ : IsOrderedRing K\ninst✝⁵ : Archimedean K\nM : Type u_2\ninst✝⁴ : AddCommGroup M\ninst✝³ : LinearOrder M\ninst✝² : IsOrderedAddMonoid M\ninst✝¹ : Module K M\ninst✝ : IsOrderedModule K M\nu : ArchimedeanStrata K M\nc : ... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 168,
"column": 61
} | {
"line": 168,
"column": 72
} | [
{
"pp": "K : Type u_1\ninst✝⁸ : DivisionRing K\ninst✝⁷ : LinearOrder K\ninst✝⁶ : IsOrderedRing K\ninst✝⁵ : Archimedean K\nM : Type u_2\ninst✝⁴ : AddCommGroup M\ninst✝³ : LinearOrder M\ninst✝² : IsOrderedAddMonoid M\ninst✝¹ : Module K M\ninst✝ : IsOrderedModule K M\nu : ArchimedeanStrata K M\nthis : ⨆ i, u.baseD... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 171,
"column": 2
} | {
"line": 171,
"column": 13
} | [
{
"pp": "case a.h\nK : Type u_1\ninst✝⁸ : DivisionRing K\ninst✝⁷ : LinearOrder K\ninst✝⁶ : IsOrderedRing K\ninst✝⁵ : Archimedean K\nM : Type u_2\ninst✝⁴ : AddCommGroup M\ninst✝³ : LinearOrder M\ninst✝² : IsOrderedAddMonoid M\ninst✝¹ : Module K M\ninst✝ : IsOrderedModule K M\nu : ArchimedeanStrata K M\nc : Finit... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 208,
"column": 4
} | {
"line": 208,
"column": 15
} | [
{
"pp": "K : Type u_1\ninst✝¹¹ : DivisionRing K\ninst✝¹⁰ : LinearOrder K\ninst✝⁹ : IsOrderedRing K\ninst✝⁸ : Archimedean K\nM : Type u_2\ninst✝⁷ : AddCommGroup M\ninst✝⁶ : LinearOrder M\ninst✝⁵ : IsOrderedAddMonoid M\ninst✝⁴ : Module K M\ninst✝³ : IsOrderedModule K M\nR : Type u_3\ninst✝² : AddCommGroup R\ninst... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 237,
"column": 2
} | {
"line": 237,
"column": 29
} | [
{
"pp": "K : Type u_1\ninst✝¹¹ : DivisionRing K\ninst✝¹⁰ : LinearOrder K\ninst✝⁹ : IsOrderedRing K\ninst✝⁸ : Archimedean K\nM : Type u_2\ninst✝⁷ : AddCommGroup M\ninst✝⁶ : LinearOrder M\ninst✝⁵ : IsOrderedAddMonoid M\ninst✝⁴ : Module K M\ninst✝³ : IsOrderedModule K M\nR : Type u_3\ninst✝² : AddCommGroup R\ninst... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 244,
"column": 2
} | {
"line": 244,
"column": 13
} | [
{
"pp": "K : Type u_1\ninst✝¹¹ : DivisionRing K\ninst✝¹⁰ : LinearOrder K\ninst✝⁹ : IsOrderedRing K\ninst✝⁸ : Archimedean K\nM : Type u_2\ninst✝⁷ : AddCommGroup M\ninst✝⁶ : LinearOrder M\ninst✝⁵ : IsOrderedAddMonoid M\ninst✝⁴ : Module K M\ninst✝³ : IsOrderedModule K M\nR : Type u_3\ninst✝² : AddCommGroup R\ninst... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 279,
"column": 4
} | {
"line": 279,
"column": 15
} | [
{
"pp": "K : Type u_1\ninst✝¹¹ : DivisionRing K\ninst✝¹⁰ : LinearOrder K\ninst✝⁹ : IsOrderedRing K\ninst✝⁸ : Archimedean K\nM : Type u_2\ninst✝⁷ : AddCommGroup M\ninst✝⁶ : LinearOrder M\ninst✝⁵ : IsOrderedAddMonoid M\ninst✝⁴ : Module K M\ninst✝³ : IsOrderedModule K M\nR : Type u_3\ninst✝² : AddCommGroup R\ninst... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 285,
"column": 4
} | {
"line": 285,
"column": 15
} | [
{
"pp": "case hyp\nK : Type u_1\ninst✝¹¹ : DivisionRing K\ninst✝¹⁰ : LinearOrder K\ninst✝⁹ : IsOrderedRing K\ninst✝⁸ : Archimedean K\nM : Type u_2\ninst✝⁷ : AddCommGroup M\ninst✝⁶ : LinearOrder M\ninst✝⁵ : IsOrderedAddMonoid M\ninst✝⁴ : Module K M\ninst✝³ : IsOrderedModule K M\nR : Type u_3\ninst✝² : AddCommGro... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 299,
"column": 4
} | {
"line": 299,
"column": 15
} | [
{
"pp": "K : Type u_1\ninst✝¹¹ : DivisionRing K\ninst✝¹⁰ : LinearOrder K\ninst✝⁹ : IsOrderedRing K\ninst✝⁸ : Archimedean K\nM : Type u_2\ninst✝⁷ : AddCommGroup M\ninst✝⁶ : LinearOrder M\ninst✝⁵ : IsOrderedAddMonoid M\ninst✝⁴ : Module K M\ninst✝³ : IsOrderedModule K M\nR : Type u_3\ninst✝² : AddCommGroup R\ninst... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Ordering.Defs | {
"line": 159,
"column": 13
} | {
"line": 159,
"column": 49
} | [
{
"pp": "R : Type u_1\ninst✝ : CommRing R\nP : RingPreordering R\nx✝ : P.HasIdealSupport\n⊢ ∀ (x a : R), a ∈ P → -a ∈ P → x * a ∈ P ∧ -(x * a) ∈ P",
"usedConstants": []
}
] | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 302,
"column": 4
} | {
"line": 302,
"column": 15
} | [
{
"pp": "case a\nK : Type u_1\ninst✝¹¹ : DivisionRing K\ninst✝¹⁰ : LinearOrder K\ninst✝⁹ : IsOrderedRing K\ninst✝⁸ : Archimedean K\nM : Type u_2\ninst✝⁷ : AddCommGroup M\ninst✝⁶ : LinearOrder M\ninst✝⁵ : IsOrderedAddMonoid M\ninst✝⁴ : Module K M\ninst✝³ : IsOrderedModule K M\nR : Type u_3\ninst✝² : AddCommGroup... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Ordering.Defs | {
"line": 165,
"column": 21
} | {
"line": 165,
"column": 32
} | [
{
"pp": "R : Type u_1\ninst✝¹ : CommRing R\nP : RingPreordering R\ninst✝ : HasMemOrNegMem P\nx a : R\nha : a ∈ P.supportAddSubgroup\nhx : x ∈ P\n⊢ x * a ∈ ↑P",
"usedConstants": [
"Eq.mpr",
"SetLike.mem_coe._simp_1",
"HMul.hMul",
"CommSemiring.toSemiring",
"Membership.mem",
... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Ordering.Defs | {
"line": 165,
"column": 53
} | {
"line": 165,
"column": 64
} | [
{
"pp": "R : Type u_1\ninst✝¹ : CommRing R\nP : RingPreordering R\ninst✝ : HasMemOrNegMem P\nx a : R\nha : a ∈ P.supportAddSubgroup\nhx : x ∈ P\n⊢ x * a ∈ -↑P",
"usedConstants": [
"Eq.mpr",
"SetLike.mem_coe._simp_1",
"NonUnitalCommRing.toNonUnitalNonAssocCommRing",
"HMul.hMul",
... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Ordering.Defs | {
"line": 166,
"column": 21
} | {
"line": 166,
"column": 32
} | [
{
"pp": "R : Type u_1\ninst✝¹ : CommRing R\nP : RingPreordering R\ninst✝ : HasMemOrNegMem P\nx a : R\nha : a ∈ P.supportAddSubgroup\nhx : -x ∈ P\n⊢ x * a ∈ ↑P",
"usedConstants": [
"Eq.mpr",
"SetLike.mem_coe._simp_1",
"HMul.hMul",
"CommSemiring.toSemiring",
"Membership.mem",
... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Ordering.Defs | {
"line": 166,
"column": 53
} | {
"line": 166,
"column": 64
} | [
{
"pp": "R : Type u_1\ninst✝¹ : CommRing R\nP : RingPreordering R\ninst✝ : HasMemOrNegMem P\nx a : R\nha : a ∈ P.supportAddSubgroup\nhx : -x ∈ P\n⊢ x * a ∈ -↑P",
"usedConstants": [
"Eq.mpr",
"SetLike.mem_coe._simp_1",
"NonUnitalCommRing.toNonUnitalNonAssocCommRing",
"HMul.hMul",
... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Ordering.Defs | {
"line": 179,
"column": 18
} | {
"line": 179,
"column": 29
} | [
{
"pp": "R : Type u_1\ninst✝¹ : CommRing R\nP : RingPreordering R\ninst✝ : P.HasIdealSupport\n⊢ ∀ (c : R) {x : R}, x ∈ P.supportAddSubgroup.carrier → c • x ∈ P.supportAddSubgroup.carrier",
"usedConstants": [
"Eq.mpr",
"instHSMul",
"Semiring.toModule",
"HMul.hMul",
"AddSubsemigr... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 316,
"column": 62
} | {
"line": 316,
"column": 73
} | [
{
"pp": "K : Type u_1\ninst✝¹¹ : DivisionRing K\ninst✝¹⁰ : LinearOrder K\ninst✝⁹ : IsOrderedRing K\ninst✝⁸ : Archimedean K\nM : Type u_2\ninst✝⁷ : AddCommGroup M\ninst✝⁶ : LinearOrder M\ninst✝⁵ : IsOrderedAddMonoid M\ninst✝⁴ : Module K M\ninst✝³ : IsOrderedModule K M\nR : Type u_3\ninst✝² : AddCommGroup R\ninst... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 317,
"column": 62
} | {
"line": 317,
"column": 73
} | [
{
"pp": "K : Type u_1\ninst✝¹¹ : DivisionRing K\ninst✝¹⁰ : LinearOrder K\ninst✝⁹ : IsOrderedRing K\ninst✝⁸ : Archimedean K\nM : Type u_2\ninst✝⁷ : AddCommGroup M\ninst✝⁶ : LinearOrder M\ninst✝⁵ : IsOrderedAddMonoid M\ninst✝⁴ : Module K M\ninst✝³ : IsOrderedModule K M\nR : Type u_3\ninst✝² : AddCommGroup R\ninst... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 321,
"column": 8
} | {
"line": 321,
"column": 19
} | [
{
"pp": "K : Type u_1\ninst✝¹¹ : DivisionRing K\ninst✝¹⁰ : LinearOrder K\ninst✝⁹ : IsOrderedRing K\ninst✝⁸ : Archimedean K\nM : Type u_2\ninst✝⁷ : AddCommGroup M\ninst✝⁶ : LinearOrder M\ninst✝⁵ : IsOrderedAddMonoid M\ninst✝⁴ : Module K M\ninst✝³ : IsOrderedModule K M\nR : Type u_3\ninst✝² : AddCommGroup R\ninst... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Archimedean | {
"line": 121,
"column": 2
} | {
"line": 121,
"column": 71
} | [
{
"pp": "case mk.mk\nR : Type u_1\ninst✝² : LinearOrder R\ninst✝¹ : CommRing R\ninst✝ : IsStrictOrderedRing R\nx : R\nhx : x ≠ 0\ny z : R\nhyz : (fun x_1 ↦ mk x + x_1) (mk y) = (fun x_1 ↦ mk x + x_1) (mk z)\n⊢ mk y = mk z",
"usedConstants": [
"Eq.mpr",
"NonAssocSemiring.toAddCommMonoidWithOne",
... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 325,
"column": 6
} | {
"line": 325,
"column": 17
} | [
{
"pp": "K : Type u_1\ninst✝¹¹ : DivisionRing K\ninst✝¹⁰ : LinearOrder K\ninst✝⁹ : IsOrderedRing K\ninst✝⁸ : Archimedean K\nM : Type u_2\ninst✝⁷ : AddCommGroup M\ninst✝⁶ : LinearOrder M\ninst✝⁵ : IsOrderedAddMonoid M\ninst✝⁴ : Module K M\ninst✝³ : IsOrderedModule K M\nR : Type u_3\ninst✝² : AddCommGroup R\ninst... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Archimedean | {
"line": 156,
"column": 2
} | {
"line": 156,
"column": 13
} | [
{
"pp": "R : Type u_1\ninst✝⁶ : LinearOrder R\ninst✝⁵ : CommRing R\ninst✝⁴ : IsStrictOrderedRing R\nS : Type u_3\ninst✝³ : LinearOrder S\ninst✝² : CommRing S\ninst✝¹ : IsStrictOrderedRing S\ninst✝ : Archimedean S\nf : S →+*o R\nx : S\nh : x ≠ 0\n⊢ mk (f x) = 0",
"usedConstants": []
}
] | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Archimedean | {
"line": 170,
"column": 2
} | {
"line": 170,
"column": 13
} | [
{
"pp": "R : Type u_1\ninst✝⁶ : LinearOrder R\ninst✝⁵ : CommRing R\ninst✝⁴ : IsStrictOrderedRing R\nS : Type u_3\ninst✝³ : LinearOrder S\ninst✝² : CommRing S\ninst✝¹ : IsStrictOrderedRing S\ninst✝ : Archimedean S\nf : S →+*o R\ny : S\n⊢ 0 ≤ mk (f y)",
"usedConstants": []
}
] | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Archimedean | {
"line": 176,
"column": 4
} | {
"line": 176,
"column": 15
} | [
{
"pp": "case hpos\nR : Type u_1\ninst✝⁶ : LinearOrder R\ninst✝⁵ : CommRing R\ninst✝⁴ : IsStrictOrderedRing R\nS : Type u_3\ninst✝³ : LinearOrder S\ninst✝² : CommRing S\ninst✝¹ : IsStrictOrderedRing S\ninst✝ : Archimedean S\nf : S →+*o R\nx : R\nhx : 0 < mk x\ny : S\nhy : 0 < y\n⊢ 0 ≤ f y",
"usedConstants":... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Archimedean | {
"line": 182,
"column": 4
} | {
"line": 182,
"column": 15
} | [
{
"pp": "case hneg\nR : Type u_1\ninst✝⁶ : LinearOrder R\ninst✝⁵ : CommRing R\ninst✝⁴ : IsStrictOrderedRing R\nS : Type u_3\ninst✝³ : LinearOrder S\ninst✝² : CommRing S\ninst✝¹ : IsStrictOrderedRing S\ninst✝ : Archimedean S\nf : S →+*o R\nx : R\nhx : 0 < mk x\ny : S\nhy : y < 0\n⊢ f y ≤ 0",
"usedConstants":... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Archimedean | {
"line": 209,
"column": 2
} | {
"line": 209,
"column": 13
} | [
{
"pp": "R : Type u_1\ninst✝² : LinearOrder R\ninst✝¹ : CommRing R\ninst✝ : IsStrictOrderedRing R\nx : R\nn : ℕ\nhn : |ArchimedeanOrder.val (ArchimedeanOrder.of x)| ≤ n • |ArchimedeanOrder.val (ArchimedeanOrder.of 1)|\n⊢ |x| ≤ ↑n",
"usedConstants": []
}
] | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 329,
"column": 4
} | {
"line": 329,
"column": 27
} | [
{
"pp": "case neg\nK : Type u_1\ninst✝¹¹ : DivisionRing K\ninst✝¹⁰ : LinearOrder K\ninst✝⁹ : IsOrderedRing K\ninst✝⁸ : Archimedean K\nM : Type u_2\ninst✝⁷ : AddCommGroup M\ninst✝⁶ : LinearOrder M\ninst✝⁵ : IsOrderedAddMonoid M\ninst✝⁴ : Module K M\ninst✝³ : IsOrderedModule K M\nR : Type u_3\ninst✝² : AddCommGro... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Archimedean | {
"line": 256,
"column": 37
} | {
"line": 256,
"column": 48
} | [
{
"pp": "R : Type u_1\nS : Type u_2\ninst✝⁷ : LinearOrder R\ninst✝⁶ : LinearOrder S\ninst✝⁵ : CommRing R\ninst✝⁴ : IsStrictOrderedRing R\ninst✝³ : Ring S\ninst✝² : IsStrictOrderedRing S\ninst✝¹ : DenselyOrdered R\ninst✝ : Archimedean R\nx y : S\nf : R →+* S\nhf : StrictMono ⇑f\nq : R\n⊢ 0 < f q ↔ 0 < q",
"u... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.RingTheory.HahnSeries.Multiplication | {
"line": 437,
"column": 4
} | {
"line": 437,
"column": 33
} | [
{
"pp": "Γ : Type u_1\nΓ' : Type u_2\nR : Type u_3\nS : Type u_4\nV : Type u_5\ninst✝³ : AddCommMonoid Γ\ninst✝² : PartialOrder Γ\ninst✝¹ : IsOrderedCancelAddMonoid Γ\ninst✝ : NonUnitalNonAssocSemiring R\nx y z : R⟦Γ⟧\n⊢ (HahnModule.of R).symm ((x + y) • (HahnModule.of R) z) =\n (HahnModule.of R).symm (x • (... | refine HahnModule.add_smul ?_ | Lean.Elab.Tactic.evalRefine | Lean.Parser.Tactic.refine |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 272,
"column": 32
} | {
"line": 329,
"column": 62
} | [
{
"pp": "K : Type u_1\ninst✝¹¹ : DivisionRing K\ninst✝¹⁰ : LinearOrder K\ninst✝⁹ : IsOrderedRing K\ninst✝⁸ : Archimedean K\nM : Type u_2\ninst✝⁷ : AddCommGroup M\ninst✝⁶ : LinearOrder M\ninst✝⁵ : IsOrderedAddMonoid M\ninst✝⁴ : Module K M\ninst✝³ : IsOrderedModule K M\nR : Type u_3\ninst✝² : AddCommGroup R\ninst... | by
-- decompose `x` to sum of `stratum`
have hmem : x.val ∈ seed.baseEmbedding.domain := x.prop
simp_rw [seed.domain_baseEmbedding] at hmem
obtain ⟨f, hf⟩ := (Submodule.mem_iSup_iff_exists_dfinsupp' _ _).mp hmem
have hfpos : 0 < (f.sum fun _ x ↦ x.val) := by
rw [hf]
simpa using hx
have hsupport : f.... | [anonymous] | Lean.Parser.Term.byTactic |
Mathlib.Algebra.Order.Ring.Archimedean | {
"line": 262,
"column": 6
} | {
"line": 262,
"column": 31
} | [
{
"pp": "case mp.succ\nR : Type u_1\nS : Type u_2\ninst✝⁷ : LinearOrder R\ninst✝⁶ : LinearOrder S\ninst✝⁵ : CommRing R\ninst✝⁴ : IsStrictOrderedRing R\ninst✝³ : Ring S\ninst✝² : IsStrictOrderedRing S\ninst✝¹ : DenselyOrdered R\ninst✝ : Archimedean R\nx y : S\nf : R →+* S\nhf : StrictMono ⇑f\nH : ∀ {q : R}, 0 < ... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 336,
"column": 34
} | {
"line": 336,
"column": 45
} | [
{
"pp": "K : Type u_1\ninst✝¹² : DivisionRing K\ninst✝¹¹ : LinearOrder K\ninst✝¹⁰ : IsOrderedRing K\ninst✝⁹ : Archimedean K\nM : Type u_2\ninst✝⁸ : AddCommGroup M\ninst✝⁷ : LinearOrder M\ninst✝⁶ : IsOrderedAddMonoid M\ninst✝⁵ : Module K M\ninst✝⁴ : IsOrderedModule K M\nR : Type u_3\ninst✝³ : AddCommGroup R\nins... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.RingTheory.HahnSeries.Multiplication | {
"line": 474,
"column": 2
} | {
"line": 474,
"column": 13
} | [
{
"pp": "Γ' : Type u_2\nR : Type u_3\ninst✝³ : NonUnitalNonAssocSemiring R\ninst✝² : PartialOrder Γ'\ninst✝¹ : AddCommGroup Γ'\ninst✝ : IsOrderedAddMonoid Γ'\nr : R\nx : R⟦Γ'⟧\na b : Γ'\n⊢ ((single b) r * x).coeff a = r * x.coeff (a - b)",
"usedConstants": []
}
] | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.RingTheory.HahnSeries.Multiplication | {
"line": 479,
"column": 2
} | {
"line": 479,
"column": 13
} | [
{
"pp": "Γ' : Type u_2\nR : Type u_3\ninst✝³ : NonUnitalNonAssocSemiring R\ninst✝² : PartialOrder Γ'\ninst✝¹ : AddCommGroup Γ'\ninst✝ : IsOrderedAddMonoid Γ'\nr : R\nx : R⟦Γ'⟧\na b : Γ'\n⊢ (x * (single b) r).coeff a = x.coeff (a - b) * r",
"usedConstants": []
}
] | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Archimedean | {
"line": 270,
"column": 4
} | {
"line": 270,
"column": 37
} | [
{
"pp": "case mpr\nR : Type u_1\nS : Type u_2\ninst✝⁷ : LinearOrder R\ninst✝⁶ : LinearOrder S\ninst✝⁵ : CommRing R\ninst✝⁴ : IsStrictOrderedRing R\ninst✝³ : Ring S\ninst✝² : IsStrictOrderedRing S\ninst✝¹ : DenselyOrdered R\ninst✝ : Archimedean R\nx y : S\nf : R →+* S\nhf : StrictMono ⇑f\nH : ∀ {q : R}, 0 < f q ... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Archimedean | {
"line": 284,
"column": 30
} | {
"line": 284,
"column": 41
} | [
{
"pp": "R : Type u_1\nS : Type u_2\ninst✝³ : LinearOrder R\ninst✝² : LinearOrder S\ninst✝¹ : Field R\ninst✝ : IsOrderedRing R\nx y : R\nh : mk x = mk y\nhx : x ≠ 0\nhy : y ≠ 0\n⊢ mk x ≠ ⊤",
"usedConstants": [
"Eq.mpr",
"congrArg",
"ArchimedeanClass.instLinearOrder",
"PartialOrder.to... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Archimedean | {
"line": 324,
"column": 2
} | {
"line": 324,
"column": 13
} | [
{
"pp": "R : Type u_1\ninst✝² : LinearOrder R\ninst✝¹ : Field R\ninst✝ : IsOrderedRing R\nq : ℚ\nh : q ≠ 0\n⊢ mk ↑q = 0",
"usedConstants": []
}
] | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Archimedean | {
"line": 323,
"column": 59
} | {
"line": 324,
"column": 87
} | [
{
"pp": "R : Type u_1\ninst✝² : LinearOrder R\ninst✝¹ : Field R\ninst✝ : IsOrderedRing R\nq : ℚ\nh : q ≠ 0\n⊢ mk ↑q = 0",
"usedConstants": [
"RingHom.instRingHomClass",
"IsDomain.to_noZeroDivisors",
"OrderAddMonoidHom.mk",
"DivisionRing.toRatCast",
"ZeroHom.toFun",
"congr... | by
simpa using mk_map_of_archimedean ⟨(Rat.castHom R).toAddMonoidHom, fun _ ↦ by simp⟩ h | [anonymous] | Lean.Parser.Term.byTactic |
Mathlib.Algebra.Order.Ring.Archimedean | {
"line": 332,
"column": 2
} | {
"line": 332,
"column": 13
} | [
{
"pp": "R : Type u_1\ninst✝² : LinearOrder R\ninst✝¹ : Field R\ninst✝ : IsOrderedRing R\nx y : R\n⊢ mk x ≤ mk y ↔ ∃ q, 0 < q ∧ ↑q * |y| ≤ |x|",
"usedConstants": []
}
] | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.RingTheory.HahnSeries.Multiplication | {
"line": 700,
"column": 8
} | {
"line": 700,
"column": 39
} | [
{
"pp": "case inr.refine_1\nΓ✝ : Type u_1\nΓ' : Type u_2\nR✝ : Type u_3\nS : Type u_4\nV : Type u_5\nΓ : Type ?u.175106\nR : Type ?u.175372\ninst✝³ : LinearOrder Γ\ninst✝² : AddCommMonoid Γ\ninst✝¹ : IsOrderedCancelAddMonoid Γ\ninst✝ : CommRing R\ny : R⟦Γ⟧ˣ\nh : y ∈ {x | 0 < (↑x - 1).orderTop}\nh✝ : Nontrivial ... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.RingTheory.HahnSeries.Multiplication | {
"line": 701,
"column": 8
} | {
"line": 701,
"column": 39
} | [
{
"pp": "case inr.refine_2\nΓ✝ : Type u_1\nΓ' : Type u_2\nR✝ : Type u_3\nS : Type u_4\nV : Type u_5\nΓ : Type ?u.175106\nR : Type ?u.175372\ninst✝³ : LinearOrder Γ\ninst✝² : AddCommMonoid Γ\ninst✝¹ : IsOrderedCancelAddMonoid Γ\ninst✝ : CommRing R\ny : R⟦Γ⟧ˣ\nh : y ∈ {x | 0 < (↑x - 1).orderTop}\nh✝ : Nontrivial ... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Ordering.Basic | {
"line": 81,
"column": 23
} | {
"line": 81,
"column": 34
} | [
{
"pp": "R✝¹ : Type u_1\ninst✝² : CommRing R✝¹\nP✝¹ : RingPreordering R✝¹\nR✝ : Type u_2\ninst✝¹ : CommRing R✝\nP✝ : Set R✝\nadd✝ : ?m.2\nmul✝ : ?m.3\nsq✝ : ?m.4\nneg_one✝ : ?m.5\nR : Type u_3\ninst✝ : CommRing R\nP : Set R\nadd : ∀ {x y : R}, x ∈ P → y ∈ P → x + y ∈ P\nmul : ∀ {x y : R}, x ∈ P → y ∈ P → x * y ... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Ordering.Basic | {
"line": 83,
"column": 17
} | {
"line": 83,
"column": 28
} | [
{
"pp": "R✝¹ : Type u_1\ninst✝² : CommRing R✝¹\nP✝¹ : RingPreordering R✝¹\nR✝ : Type u_2\ninst✝¹ : CommRing R✝\nP✝ : Set R✝\nadd✝ : ?m.2\nmul✝ : ?m.3\nsq✝ : ?m.4\nneg_one✝ : ?m.5\nR : Type u_3\ninst✝ : CommRing R\nP : Set R\nadd : ∀ {x y : R}, x ∈ P → y ∈ P → x + y ∈ P\nmul : ∀ {x y : R}, x ∈ P → y ∈ P → x * y ... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Ordering.Basic | {
"line": 80,
"column": 23
} | {
"line": 80,
"column": 34
} | [
{
"pp": "R✝¹ : Type u_1\ninst✝² : CommRing R✝¹\nP✝¹ : RingPreordering R✝¹\nR✝ : Type u_2\ninst✝¹ : CommRing R✝\nP✝ : Set R✝\nadd✝ : ?m.2\nmul✝ : ?m.3\nsq✝ : ?m.4\nneg_one✝ : ?m.5\nR : Type u_3\ninst✝ : CommRing R\nP : Set R\nadd : ∀ {x y : R}, x ∈ P → y ∈ P → x + y ∈ P\nmul : ∀ {x y : R}, x ∈ P → y ∈ P → x * y ... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Ordering.Basic | {
"line": 82,
"column": 18
} | {
"line": 82,
"column": 29
} | [
{
"pp": "R✝¹ : Type u_1\ninst✝² : CommRing R✝¹\nP✝¹ : RingPreordering R✝¹\nR✝ : Type u_2\ninst✝¹ : CommRing R✝\nP✝ : Set R✝\nadd✝ : ?m.2\nmul✝ : ?m.3\nsq✝ : ?m.4\nneg_one✝ : ?m.5\nR : Type u_3\ninst✝ : CommRing R\nP : Set R\nadd : ∀ {x y : R}, x ∈ P → y ∈ P → x + y ∈ P\nmul : ∀ {x y : R}, x ∈ P → y ∈ P → x * y ... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Ordering.Basic | {
"line": 102,
"column": 2
} | {
"line": 102,
"column": 13
} | [
{
"pp": "R : Type u_1\ninst✝¹ : CommRing R\nP : RingPreordering R\ninst✝ : P.HasIdealSupport\n⊢ 1 ∉ P.support",
"usedConstants": []
}
] | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Ordering.Basic | {
"line": 109,
"column": 2
} | {
"line": 109,
"column": 13
} | [
{
"pp": "R : Type u_1\ninst✝¹ : CommRing R\nP : RingPreordering R\ninst✝ : P.HasIdealSupport\n⊢ Submodule.toAddSubgroup P.support ≠ Submodule.toAddSubgroup ⊤",
"usedConstants": [
"Eq.mpr",
"Submodule",
"Semiring.toModule",
"congrArg",
"CommSemiring.toSemiring",
"AddCommGr... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Ordering.Basic | {
"line": 165,
"column": 2
} | {
"line": 165,
"column": 45
} | [
{
"pp": "F : Type u_2\ninst✝ : Field F\nP : RingPreordering F\n⊢ P.support = ⊥",
"usedConstants": [
"Eq.mpr",
"AddSubgroup.instBot",
"Semiring.toModule",
"CommSemiring.toSemiring",
"_private.Mathlib.Algebra.Order.Ring.Ordering.Basic.0.RingPreordering.support_eq_bot._simp_1_1",
... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Ordering.Basic | {
"line": 167,
"column": 35
} | {
"line": 167,
"column": 46
} | [
{
"pp": "R : Type u_1\ninst✝¹ : CommRing R\nP✝ : RingPreordering R\nF : Type u_2\ninst✝ : Field F\nP : RingPreordering F\n⊢ P.support.IsPrime",
"usedConstants": [
"Eq.mpr",
"Semiring.toModule",
"congrArg",
"CommSemiring.toSemiring",
"id",
"Bot.bot",
"Ideal",
"... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Ring.Ordering.Basic | {
"line": 175,
"column": 27
} | {
"line": 175,
"column": 38
} | [
{
"pp": "R : Type u_1\ninst✝ : CommRing R\nP : RingPreordering R\nx✝¹ : P.IsOrdering\na b : R\nx✝ : -(a * b) ∈ P\nthis : ¬(a ∈ P ∨ b ∈ P)\n⊢ a * b ∈ P",
"usedConstants": []
}
] | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 461,
"column": 30
} | {
"line": 461,
"column": 41
} | [
{
"pp": "K : Type u_1\ninst✝¹³ : DivisionRing K\ninst✝¹² : LinearOrder K\ninst✝¹¹ : IsOrderedRing K\ninst✝¹⁰ : Archimedean K\nM : Type u_2\ninst✝⁹ : AddCommGroup M\ninst✝⁸ : LinearOrder M\ninst✝⁷ : IsOrderedAddMonoid M\ninst✝⁶ : Module K M\ninst✝⁵ : IsOrderedModule K M\nR : Type u_3\ninst✝⁴ : AddCommGroup R\nin... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 467,
"column": 4
} | {
"line": 467,
"column": 15
} | [
{
"pp": "K : Type u_1\ninst✝¹³ : DivisionRing K\ninst✝¹² : LinearOrder K\ninst✝¹¹ : IsOrderedRing K\ninst✝¹⁰ : Archimedean K\nM : Type u_2\ninst✝⁹ : AddCommGroup M\ninst✝⁸ : LinearOrder M\ninst✝⁷ : IsOrderedAddMonoid M\ninst✝⁶ : Module K M\ninst✝⁵ : IsOrderedModule K M\nR : Type u_3\ninst✝⁴ : AddCommGroup R\nin... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 473,
"column": 4
} | {
"line": 473,
"column": 15
} | [
{
"pp": "K : Type u_1\ninst✝¹³ : DivisionRing K\ninst✝¹² : LinearOrder K\ninst✝¹¹ : IsOrderedRing K\ninst✝¹⁰ : Archimedean K\nM : Type u_2\ninst✝⁹ : AddCommGroup M\ninst✝⁸ : LinearOrder M\ninst✝⁷ : IsOrderedAddMonoid M\ninst✝⁶ : Module K M\ninst✝⁵ : IsOrderedModule K M\nR : Type u_3\ninst✝⁴ : AddCommGroup R\nin... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 498,
"column": 2
} | {
"line": 498,
"column": 13
} | [
{
"pp": "K : Type u_1\ninst✝¹³ : DivisionRing K\ninst✝¹² : LinearOrder K\ninst✝¹¹ : IsOrderedRing K\ninst✝¹⁰ : Archimedean K\nM : Type u_2\ninst✝⁹ : AddCommGroup M\ninst✝⁸ : LinearOrder M\ninst✝⁷ : IsOrderedAddMonoid M\ninst✝⁶ : Module K M\ninst✝⁵ : IsOrderedModule K M\nR : Type u_3\ninst✝⁴ : AddCommGroup R\nin... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 498,
"column": 21
} | {
"line": 498,
"column": 32
} | [
{
"pp": "K : Type u_1\ninst✝¹³ : DivisionRing K\ninst✝¹² : LinearOrder K\ninst✝¹¹ : IsOrderedRing K\ninst✝¹⁰ : Archimedean K\nM : Type u_2\ninst✝⁹ : AddCommGroup M\ninst✝⁸ : LinearOrder M\ninst✝⁷ : IsOrderedAddMonoid M\ninst✝⁶ : Module K M\ninst✝⁵ : IsOrderedModule K M\nR : Type u_3\ninst✝⁴ : AddCommGroup R\nin... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 551,
"column": 2
} | {
"line": 551,
"column": 44
} | [
{
"pp": "K : Type u_1\ninst✝¹³ : DivisionRing K\ninst✝¹² : LinearOrder K\ninst✝¹¹ : IsOrderedRing K\ninst✝¹⁰ : Archimedean K\nM : Type u_2\ninst✝⁹ : AddCommGroup M\ninst✝⁸ : LinearOrder M\ninst✝⁷ : IsOrderedAddMonoid M\ninst✝⁶ : Module K M\ninst✝⁵ : IsOrderedModule K M\nR : Type u_3\ninst✝⁴ : AddCommGroup R\nin... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 574,
"column": 4
} | {
"line": 574,
"column": 15
} | [
{
"pp": "case h.e'_2\nK : Type u_1\ninst✝¹³ : DivisionRing K\ninst✝¹² : LinearOrder K\ninst✝¹¹ : IsOrderedRing K\ninst✝¹⁰ : Archimedean K\nM : Type u_2\ninst✝⁹ : AddCommGroup M\ninst✝⁸ : LinearOrder M\ninst✝⁷ : IsOrderedAddMonoid M\ninst✝⁶ : Module K M\ninst✝⁵ : IsOrderedModule K M\nR : Type u_3\ninst✝⁴ : AddCo... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 578,
"column": 2
} | {
"line": 578,
"column": 13
} | [
{
"pp": "K : Type u_1\ninst✝¹³ : DivisionRing K\ninst✝¹² : LinearOrder K\ninst✝¹¹ : IsOrderedRing K\ninst✝¹⁰ : Archimedean K\nM : Type u_2\ninst✝⁹ : AddCommGroup M\ninst✝⁸ : LinearOrder M\ninst✝⁷ : IsOrderedAddMonoid M\ninst✝⁶ : Module K M\ninst✝⁵ : IsOrderedModule K M\nR : Type u_3\ninst✝⁴ : AddCommGroup R\nin... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 603,
"column": 58
} | {
"line": 603,
"column": 69
} | [
{
"pp": "K : Type u_1\ninst✝¹³ : DivisionRing K\ninst✝¹² : LinearOrder K\ninst✝¹¹ : IsOrderedRing K\ninst✝¹⁰ : Archimedean K\nM : Type u_2\ninst✝⁹ : AddCommGroup M\ninst✝⁸ : LinearOrder M\ninst✝⁷ : IsOrderedAddMonoid M\ninst✝⁶ : Module K M\ninst✝⁵ : IsOrderedModule K M\nR : Type u_3\ninst✝⁴ : AddCommGroup R\nin... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 636,
"column": 4
} | {
"line": 636,
"column": 24
} | [
{
"pp": "case hy\nK : Type u_1\ninst✝¹³ : DivisionRing K\ninst✝¹² : LinearOrder K\ninst✝¹¹ : IsOrderedRing K\ninst✝¹⁰ : Archimedean K\nM : Type u_2\ninst✝⁹ : AddCommGroup M\ninst✝⁸ : LinearOrder M\ninst✝⁷ : IsOrderedAddMonoid M\ninst✝⁶ : Module K M\ninst✝⁵ : IsOrderedModule K M\nR : Type u_3\ninst✝⁴ : AddCommGr... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Star.Conjneg | {
"line": 62,
"column": 38
} | {
"line": 62,
"column": 49
} | [
{
"pp": "G : Type u_2\nR : Type u_3\ninst✝² : AddGroup G\ninst✝¹ : CommSemiring R\ninst✝ : StarRing R\nf : G → R\n⊢ f = conjneg 1 ↔ f = 1",
"usedConstants": [
"Eq.mpr",
"NonAssocSemiring.toAddCommMonoidWithOne",
"conjneg_one",
"congrArg",
"CommSemiring.toSemiring",
"conjn... | conjneg_one | Lean.Elab.Tactic.evalRewriteSeq | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 695,
"column": 41
} | {
"line": 695,
"column": 74
} | [
{
"pp": "case coeff.h.inr\nK : Type u_1\ninst✝¹³ : DivisionRing K\ninst✝¹² : LinearOrder K\ninst✝¹¹ : IsOrderedRing K\ninst✝¹⁰ : Archimedean K\nM : Type u_2\ninst✝⁹ : AddCommGroup M\ninst✝⁸ : LinearOrder M\ninst✝⁷ : IsOrderedAddMonoid M\ninst✝⁶ : Module K M\ninst✝⁵ : IsOrderedModule K M\nR : Type u_3\ninst✝⁴ : ... | HahnSeries.coeff_truncLT_of_le hd | Lean.Elab.Tactic.evalRewriteSeq | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 699,
"column": 47
} | {
"line": 699,
"column": 58
} | [
{
"pp": "K : Type u_1\ninst✝¹³ : DivisionRing K\ninst✝¹² : LinearOrder K\ninst✝¹¹ : IsOrderedRing K\ninst✝¹⁰ : Archimedean K\nM : Type u_2\ninst✝⁹ : AddCommGroup M\ninst✝⁸ : LinearOrder M\ninst✝⁷ : IsOrderedAddMonoid M\ninst✝⁶ : Module K M\ninst✝⁵ : IsOrderedModule K M\nR : Type u_3\ninst✝⁴ : AddCommGroup R\nin... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 728,
"column": 4
} | {
"line": 728,
"column": 24
} | [
{
"pp": "case refine_1.hy\nK : Type u_1\ninst✝¹³ : DivisionRing K\ninst✝¹² : LinearOrder K\ninst✝¹¹ : IsOrderedRing K\ninst✝¹⁰ : Archimedean K\nM : Type u_2\ninst✝⁹ : AddCommGroup M\ninst✝⁸ : LinearOrder M\ninst✝⁷ : IsOrderedAddMonoid M\ninst✝⁶ : Module K M\ninst✝⁵ : IsOrderedModule K M\nR : Type u_3\ninst✝⁴ : ... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 731,
"column": 4
} | {
"line": 731,
"column": 22
} | [
{
"pp": "K : Type u_1\ninst✝¹³ : DivisionRing K\ninst✝¹² : LinearOrder K\ninst✝¹¹ : IsOrderedRing K\ninst✝¹⁰ : Archimedean K\nM : Type u_2\ninst✝⁹ : AddCommGroup M\ninst✝⁸ : LinearOrder M\ninst✝⁷ : IsOrderedAddMonoid M\ninst✝⁶ : Module K M\ninst✝⁵ : IsOrderedModule K M\nR : Type u_3\ninst✝⁴ : AddCommGroup R\nin... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 743,
"column": 4
} | {
"line": 743,
"column": 15
} | [
{
"pp": "K : Type u_1\ninst✝¹³ : DivisionRing K\ninst✝¹² : LinearOrder K\ninst✝¹¹ : IsOrderedRing K\ninst✝¹⁰ : Archimedean K\nM : Type u_2\ninst✝⁹ : AddCommGroup M\ninst✝⁸ : LinearOrder M\ninst✝⁷ : IsOrderedAddMonoid M\ninst✝⁶ : Module K M\ninst✝⁵ : IsOrderedModule K M\nR : Type u_3\ninst✝⁴ : AddCommGroup R\nin... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 746,
"column": 4
} | {
"line": 746,
"column": 15
} | [
{
"pp": "case a\nK : Type u_1\ninst✝¹³ : DivisionRing K\ninst✝¹² : LinearOrder K\ninst✝¹¹ : IsOrderedRing K\ninst✝¹⁰ : Archimedean K\nM : Type u_2\ninst✝⁹ : AddCommGroup M\ninst✝⁸ : LinearOrder M\ninst✝⁷ : IsOrderedAddMonoid M\ninst✝⁶ : Module K M\ninst✝⁵ : IsOrderedModule K M\nR : Type u_3\ninst✝⁴ : AddCommGro... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 749,
"column": 6
} | {
"line": 749,
"column": 35
} | [
{
"pp": "K : Type u_1\ninst✝¹³ : DivisionRing K\ninst✝¹² : LinearOrder K\ninst✝¹¹ : IsOrderedRing K\ninst✝¹⁰ : Archimedean K\nM : Type u_2\ninst✝⁹ : AddCommGroup M\ninst✝⁸ : LinearOrder M\ninst✝⁷ : IsOrderedAddMonoid M\ninst✝⁶ : Module K M\ninst✝⁵ : IsOrderedModule K M\nR : Type u_3\ninst✝⁴ : AddCommGroup R\nin... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 754,
"column": 4
} | {
"line": 754,
"column": 15
} | [
{
"pp": "K : Type u_1\ninst✝¹³ : DivisionRing K\ninst✝¹² : LinearOrder K\ninst✝¹¹ : IsOrderedRing K\ninst✝¹⁰ : Archimedean K\nM : Type u_2\ninst✝⁹ : AddCommGroup M\ninst✝⁸ : LinearOrder M\ninst✝⁷ : IsOrderedAddMonoid M\ninst✝⁶ : Module K M\ninst✝⁵ : IsOrderedModule K M\nR : Type u_3\ninst✝⁴ : AddCommGroup R\nin... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Sub.Unbundled.Hom | {
"line": 36,
"column": 2
} | {
"line": 36,
"column": 33
} | [
{
"pp": "R : Type u_3\ninst✝⁴ : NonUnitalCommSemiring R\ninst✝³ : Preorder R\ninst✝² : Sub R\ninst✝¹ : OrderedSub R\ninst✝ : MulLeftMono R\na b c : R\n⊢ a * c - b * c ≤ (a - b) * c",
"usedConstants": [
"Eq.mpr",
"HMul.hMul",
"congrArg",
"HSub.hSub",
"Preorder.toLE",
"id",... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 810,
"column": 40
} | {
"line": 810,
"column": 51
} | [
{
"pp": "K : Type u_1\ninst✝¹³ : DivisionRing K\ninst✝¹² : LinearOrder K\ninst✝¹¹ : IsOrderedRing K\ninst✝¹⁰ : Archimedean K\nM : Type u_2\ninst✝⁹ : AddCommGroup M\ninst✝⁸ : LinearOrder M\ninst✝⁷ : IsOrderedAddMonoid M\ninst✝⁶ : Module K M\ninst✝⁵ : IsOrderedModule K M\nR : Type u_3\ninst✝⁴ : AddCommGroup R\nin... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 811,
"column": 32
} | {
"line": 811,
"column": 43
} | [
{
"pp": "K : Type u_1\ninst✝¹³ : DivisionRing K\ninst✝¹² : LinearOrder K\ninst✝¹¹ : IsOrderedRing K\ninst✝¹⁰ : Archimedean K\nM : Type u_2\ninst✝⁹ : AddCommGroup M\ninst✝⁸ : LinearOrder M\ninst✝⁷ : IsOrderedAddMonoid M\ninst✝⁶ : Module K M\ninst✝⁵ : IsOrderedModule K M\nR : Type u_3\ninst✝⁴ : AddCommGroup R\nin... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 831,
"column": 23
} | {
"line": 831,
"column": 34
} | [
{
"pp": "K : Type u_1\ninst✝¹³ : DivisionRing K\ninst✝¹² : LinearOrder K\ninst✝¹¹ : IsOrderedRing K\ninst✝¹⁰ : Archimedean K\nM : Type u_2\ninst✝⁹ : AddCommGroup M\ninst✝⁸ : LinearOrder M\ninst✝⁷ : IsOrderedAddMonoid M\ninst✝⁶ : Module K M\ninst✝⁵ : IsOrderedModule K M\nR : Type u_3\ninst✝⁴ : AddCommGroup R\nin... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 839,
"column": 6
} | {
"line": 839,
"column": 17
} | [
{
"pp": "case pos.coeff.h.inl\nK : Type u_1\ninst✝¹³ : DivisionRing K\ninst✝¹² : LinearOrder K\ninst✝¹¹ : IsOrderedRing K\ninst✝¹⁰ : Archimedean K\nM : Type u_2\ninst✝⁹ : AddCommGroup M\ninst✝⁸ : LinearOrder M\ninst✝⁷ : IsOrderedAddMonoid M\ninst✝⁶ : Module K M\ninst✝⁵ : IsOrderedModule K M\nR : Type u_3\ninst✝... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 843,
"column": 19
} | {
"line": 843,
"column": 30
} | [
{
"pp": "K : Type u_1\ninst✝¹³ : DivisionRing K\ninst✝¹² : LinearOrder K\ninst✝¹¹ : IsOrderedRing K\ninst✝¹⁰ : Archimedean K\nM : Type u_2\ninst✝⁹ : AddCommGroup M\ninst✝⁸ : LinearOrder M\ninst✝⁷ : IsOrderedAddMonoid M\ninst✝⁶ : Module K M\ninst✝⁵ : IsOrderedModule K M\nR : Type u_3\ninst✝⁴ : AddCommGroup R\nin... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 853,
"column": 46
} | {
"line": 853,
"column": 57
} | [
{
"pp": "K : Type u_1\ninst✝¹³ : DivisionRing K\ninst✝¹² : LinearOrder K\ninst✝¹¹ : IsOrderedRing K\ninst✝¹⁰ : Archimedean K\nM : Type u_2\ninst✝⁹ : AddCommGroup M\ninst✝⁸ : LinearOrder M\ninst✝⁷ : IsOrderedAddMonoid M\ninst✝⁶ : Module K M\ninst✝⁵ : IsOrderedModule K M\nR : Type u_3\ninst✝⁴ : AddCommGroup R\nin... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.RingTheory.Valuation.ValuationSubring | {
"line": 53,
"column": 4
} | {
"line": 53,
"column": 16
} | [
{
"pp": "K : Type u\ninst✝ : Field K\nA : ValuationSubring K\n⊢ Function.Injective fun A ↦ ↑A.toSubring",
"usedConstants": [
"ValuationSubring"
]
}
] | intro ⟨_, _⟩ | Lean.Elab.Tactic.evalIntro | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 869,
"column": 44
} | {
"line": 869,
"column": 55
} | [
{
"pp": "K : Type u_1\ninst✝¹³ : DivisionRing K\ninst✝¹² : LinearOrder K\ninst✝¹¹ : IsOrderedRing K\ninst✝¹⁰ : Archimedean K\nM : Type u_2\ninst✝⁹ : AddCommGroup M\ninst✝⁸ : LinearOrder M\ninst✝⁷ : IsOrderedAddMonoid M\ninst✝⁶ : Module K M\ninst✝⁵ : IsOrderedModule K M\nR : Type u_3\ninst✝⁴ : AddCommGroup R\nin... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.RingTheory.Valuation.ValuationSubring | {
"line": 163,
"column": 38
} | {
"line": 163,
"column": 49
} | [
{
"pp": "case a\nK : Type u\ninst✝ : Field K\nA : ValuationSubring K\na b : ↥A\nh : (algebraMap (↥A) K) a = (algebraMap (↥A) K) b\n⊢ ↑(↑1 * a) = ↑(↑1 * b)",
"usedConstants": [
"Eq.mpr",
"HMul.hMul",
"Monoid.toMulOneClass",
"congrArg",
"CommSemiring.toSemiring",
"Membershi... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.RingTheory.Valuation.ValuationSubring | {
"line": 163,
"column": 30
} | {
"line": 163,
"column": 51
} | [
{
"pp": "K : Type u\ninst✝ : Field K\nA : ValuationSubring K\na b : ↥A\nh : (algebraMap (↥A) K) a = (algebraMap (↥A) K) b\n⊢ ↑1 * a = ↑1 * b",
"usedConstants": [
"Eq.mpr",
"HMul.hMul",
"Algebra.algebraMap",
"Monoid.toMulOneClass",
"congrArg",
"CommSemiring.toSemiring",
... | by ext; simpa using h | [anonymous] | Lean.Parser.Term.byTactic |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 892,
"column": 4
} | {
"line": 892,
"column": 35
} | [
{
"pp": "case a\nK : Type u_1\ninst✝¹³ : DivisionRing K\ninst✝¹² : LinearOrder K\ninst✝¹¹ : IsOrderedRing K\ninst✝¹⁰ : Archimedean K\nM : Type u_2\ninst✝⁹ : AddCommGroup M\ninst✝⁸ : LinearOrder M\ninst✝⁷ : IsOrderedAddMonoid M\ninst✝⁶ : Module K M\ninst✝⁵ : IsOrderedModule K M\nR : Type u_3\ninst✝⁴ : AddCommGro... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 897,
"column": 2
} | {
"line": 897,
"column": 13
} | [
{
"pp": "case a\nK : Type u_1\ninst✝¹³ : DivisionRing K\ninst✝¹² : LinearOrder K\ninst✝¹¹ : IsOrderedRing K\ninst✝¹⁰ : Archimedean K\nM : Type u_2\ninst✝⁹ : AddCommGroup M\ninst✝⁸ : LinearOrder M\ninst✝⁷ : IsOrderedAddMonoid M\ninst✝⁶ : Module K M\ninst✝⁵ : IsOrderedModule K M\nR : Type u_3\ninst✝⁴ : AddCommGro... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.RingTheory.Valuation.ValuationSubring | {
"line": 341,
"column": 8
} | {
"line": 341,
"column": 39
} | [
{
"pp": "case h.mp.a.ha\nK : Type u\ninst✝ : Field K\nR S : ValuationSubring K\nh : R ≤ S\na r : ↥R\nhr : r ∈ (R.idealOfLE S h).primeCompl\n⊢ 0 < S.valuation ((algebraMap (↥R) K) r)",
"usedConstants": [
"Eq.mpr",
"GroupWithZero.toMonoidWithZero",
"LinearOrderedCommGroupWithZero.toLinearOrd... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.RingTheory.Valuation.ValuationSubring | {
"line": 452,
"column": 38
} | {
"line": 452,
"column": 49
} | [
{
"pp": "case mp.h\nK : Type u\ninst✝² : Field K\nΓ₁ : Type u_2\nΓ₂ : Type u_3\ninst✝¹ : LinearOrderedCommGroupWithZero Γ₁\ninst✝ : LinearOrderedCommGroupWithZero Γ₂\nv₁ : Valuation K Γ₁\nv₂ : Valuation K Γ₂\nx : K\nh : v₁ x ≤ v₁ 1 ↔ v₂ x ≤ v₂ 1\n⊢ x ∈ v₁.valuationSubring ↔ x ∈ v₂.valuationSubring",
"usedCo... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.RingTheory.Valuation.ValuationSubring | {
"line": 456,
"column": 4
} | {
"line": 456,
"column": 15
} | [
{
"pp": "case mpr.h\nK : Type u\ninst✝² : Field K\nΓ₁ : Type u_2\nΓ₂ : Type u_3\ninst✝¹ : LinearOrderedCommGroupWithZero Γ₁\ninst✝ : LinearOrderedCommGroupWithZero Γ₂\nv₁ : Valuation K Γ₁\nv₂ : Valuation K Γ₂\nh : v₁.valuationSubring = v₂.valuationSubring\nx : K\nthis : x ∈ v₁.valuationSubring ↔ x ∈ v₂.valuatio... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Algebra.Order.Module.HahnEmbedding | {
"line": 965,
"column": 2
} | {
"line": 965,
"column": 29
} | [
{
"pp": "K : Type u_1\ninst✝¹¹ : DivisionRing K\ninst✝¹⁰ : LinearOrder K\ninst✝⁹ : IsOrderedRing K\ninst✝⁸ : Archimedean K\nM : Type u_2\ninst✝⁷ : AddCommGroup M\ninst✝⁶ : LinearOrder M\ninst✝⁵ : IsOrderedAddMonoid M\ninst✝⁴ : Module K M\ninst✝³ : IsOrderedModule K M\nR : Type u_3\ninst✝² : AddCommGroup R\ninst... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.RingTheory.Valuation.ValuationSubring | {
"line": 525,
"column": 6
} | {
"line": 525,
"column": 17
} | [
{
"pp": "case neg.inl\nK : Type u\ninst✝ : Field K\nA B : ValuationSubring K\nh : A.unitGroup ≤ B.unitGroup\nx : K\nh_1 : ¬x = 0\nh_2 : ¬1 + x = 0\nhx : A.valuation x < 1\nthis : Units.mk0 (1 + x) h_2 ∈ B.unitGroup\n⊢ x ∈ B",
"usedConstants": []
}
] | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.RingTheory.Valuation.ValuationSubring | {
"line": 532,
"column": 4
} | {
"line": 532,
"column": 15
} | [
{
"pp": "case mpr\nK : Type u\ninst✝ : Field K\nA B : ValuationSubring K\nh : A ≤ B\nx : Kˣ\nhx : (A.mapOfLE B h) (A.valuation ↑x) = (A.mapOfLE B h) 1\n⊢ x ∈ B.unitGroup",
"usedConstants": [
"Units.val",
"Eq.mpr",
"LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero",
"V... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
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