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.LinearAlgebra.Matrix.GeneralLinearGroup.FinTwo | {
"line": 214,
"column": 2
} | {
"line": 214,
"column": 20
} | [
{
"pp": "R : Type u_1\ninst✝ : CommRing R\ng h : GL (Fin 2) R\n⊢ (g * h * g⁻¹).IsParabolic ↔ h.IsParabolic",
"usedConstants": [
"Units.val",
"HMul.hMul",
"Monoid.toMulOneClass",
"congrArg",
"Matrix.GeneralLinearGroup.IsParabolic",
"CommSemiring.toSemiring",
"Matrix"... | simp [IsParabolic] | Lean.Elab.Tactic.evalSimp | Lean.Parser.Tactic.simp |
Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.FinTwo | {
"line": 214,
"column": 2
} | {
"line": 214,
"column": 20
} | [
{
"pp": "R : Type u_1\ninst✝ : CommRing R\ng h : GL (Fin 2) R\n⊢ (g * h * g⁻¹).IsParabolic ↔ h.IsParabolic",
"usedConstants": [
"Units.val",
"HMul.hMul",
"Monoid.toMulOneClass",
"congrArg",
"Matrix.GeneralLinearGroup.IsParabolic",
"CommSemiring.toSemiring",
"Matrix"... | simp [IsParabolic] | Lean.Elab.Tactic.evalTacticSeq1Indented | Lean.Parser.Tactic.tacticSeq1Indented |
Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.FinTwo | {
"line": 214,
"column": 2
} | {
"line": 214,
"column": 20
} | [
{
"pp": "R : Type u_1\ninst✝ : CommRing R\ng h : GL (Fin 2) R\n⊢ (g * h * g⁻¹).IsParabolic ↔ h.IsParabolic",
"usedConstants": [
"Units.val",
"HMul.hMul",
"Monoid.toMulOneClass",
"congrArg",
"Matrix.GeneralLinearGroup.IsParabolic",
"CommSemiring.toSemiring",
"Matrix"... | simp [IsParabolic] | Lean.Elab.Tactic.evalTacticSeq | Lean.Parser.Tactic.tacticSeq |
Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.FinTwo | {
"line": 218,
"column": 2
} | {
"line": 218,
"column": 20
} | [
{
"pp": "R : Type u_1\ninst✝ : CommRing R\ng h : GL (Fin 2) R\n⊢ (g⁻¹ * h * g).IsParabolic ↔ h.IsParabolic",
"usedConstants": [
"Units.val",
"HMul.hMul",
"Matrix.isParabolic_conj'_iff._simp_1",
"Monoid.toMulOneClass",
"congrArg",
"Matrix.GeneralLinearGroup.IsParabolic",
... | simp [IsParabolic] | Lean.Elab.Tactic.evalSimp | Lean.Parser.Tactic.simp |
Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.FinTwo | {
"line": 218,
"column": 2
} | {
"line": 218,
"column": 20
} | [
{
"pp": "R : Type u_1\ninst✝ : CommRing R\ng h : GL (Fin 2) R\n⊢ (g⁻¹ * h * g).IsParabolic ↔ h.IsParabolic",
"usedConstants": [
"Units.val",
"HMul.hMul",
"Matrix.isParabolic_conj'_iff._simp_1",
"Monoid.toMulOneClass",
"congrArg",
"Matrix.GeneralLinearGroup.IsParabolic",
... | simp [IsParabolic] | Lean.Elab.Tactic.evalTacticSeq1Indented | Lean.Parser.Tactic.tacticSeq1Indented |
Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.FinTwo | {
"line": 218,
"column": 2
} | {
"line": 218,
"column": 20
} | [
{
"pp": "R : Type u_1\ninst✝ : CommRing R\ng h : GL (Fin 2) R\n⊢ (g⁻¹ * h * g).IsParabolic ↔ h.IsParabolic",
"usedConstants": [
"Units.val",
"HMul.hMul",
"Matrix.isParabolic_conj'_iff._simp_1",
"Monoid.toMulOneClass",
"congrArg",
"Matrix.GeneralLinearGroup.IsParabolic",
... | simp [IsParabolic] | Lean.Elab.Tactic.evalTacticSeq | Lean.Parser.Tactic.tacticSeq |
Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.FinTwo | {
"line": 298,
"column": 6
} | {
"line": 298,
"column": 14
} | [
{
"pp": "case mp.f\nK : Type u_2\ninst✝² : Field K\ninst✝¹ : LinearOrder K\ninst✝ : IsStrictOrderedRing K\ng : GL (Fin 2) K\nh_det : det g = 1 ∨ det g = -1\nhg10 : ↑g 1 0 = 0\nhg00 : ↑g 0 0 = ↑g 1 1\nhg01 : ↑g 0 1 ≠ 0\nthis : ↑g 1 1 ^ 2 = 1\nhg11 : ↑g 1 1 = 1\n⊢ !![↑g 0 0, ↑g 0 1; ↑g 1 0, ↑g 1 1] = ↑(upperRight... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.FinTwo | {
"line": 301,
"column": 6
} | {
"line": 301,
"column": 14
} | [
{
"pp": "case mp.g\nK : Type u_2\ninst✝² : Field K\ninst✝¹ : LinearOrder K\ninst✝ : IsStrictOrderedRing K\ng : GL (Fin 2) K\nh_det : det g = 1 ∨ det g = -1\nhg10 : ↑g 1 0 = 0\nhg00 : ↑g 0 0 = ↑g 1 1\nhg01 : ↑g 0 1 ≠ 0\nthis : ↑g 1 1 ^ 2 = 1\nhg11 : ↑g 1 1 = -1\n⊢ !![↑g 0 0, ↑g 0 1; ↑g 1 0, ↑g 1 1] = ↑(-upperRig... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Analysis.Complex.UpperHalfPlane.MoebiusAction | {
"line": 362,
"column": 31
} | {
"line": 362,
"column": 72
} | [
{
"pp": "z : ℍ\n⊢ ↑√z.im ≠ 0",
"usedConstants": [
"Eq.mpr",
"Real",
"UpperHalfPlane.im_pos",
"Real.instZero",
"congrArg",
"Complex.instZero",
"Real.instLT",
"id",
"_private.Mathlib.Analysis.Complex.UpperHalfPlane.MoebiusAction.0.UpperHalfPlane.toSL2R_smu... | simpa [Real.sqrt_ne_zero'] using z.im_pos | Lean.Elab.Tactic.Simpa.evalSimpa | Lean.Parser.Tactic.simpa |
Mathlib.Analysis.Complex.UpperHalfPlane.MoebiusAction | {
"line": 365,
"column": 4
} | {
"line": 365,
"column": 85
} | [
{
"pp": "z : ℍ\nthis✝ : ↑√z.im ≠ 0\nthis : ↑z.re / ↑√z.im + ↑√z.im * Complex.I = ↑z * (↑√z.im)⁻¹\n⊢ ↑(z.toSL2R • I) = ↑z",
"usedConstants": [
"Eq.mpr",
"GroupWithZero.toMonoidWithZero",
"Real",
"instHSMul",
"Matrix.SpecialLinearGroup",
"MonoidHom.instFunLike",
"inst... | rw [coe_specialLinearGroup_apply, div_eq_iff (mod_cast denom_ne_zero z.toSL2R I)] | Lean.Parser.Tactic._aux_Init_Tactics___macroRules_Lean_Parser_Tactic_rwSeq_1 | Lean.Parser.Tactic.rwSeq |
Mathlib.Analysis.Complex.UpperHalfPlane.Measure | {
"line": 108,
"column": 4
} | {
"line": 109,
"column": 59
} | [
{
"pp": "case h.e'_3\ng : GL (Fin 2) ℝ\ns : Set ℍ\nhs : MeasurableSet s\nhinj : Set.InjOn (fun z ↦ ↑(g • ↑ofComplex z)) (UpperHalfPlane.coe '' s)\nmain :\n ∫⁻ (x : ℂ) in (fun z ↦ ↑(g • ↑ofComplex z)) '' UpperHalfPlane.coe '' s, ↑((1 / ‖x.im‖₊) ^ 2) =\n ∫⁻ (x : ℂ) in UpperHalfPlane.coe '' s,\n ENNReal.o... | have : ‖(SignType.sign g.val.det : ℝ)‖₊ = 1 := by
rcases g.det_ne_zero.lt_or_gt with h | h <;> simp [h] | Lean.Parser.Tactic._aux_Init_Tactics___macroRules_Lean_Parser_Tactic_tacticHave___1 | Lean.Parser.Tactic.tacticHave__ |
Mathlib.Analysis.SpecialFunctions.Arsinh | {
"line": 76,
"column": 6
} | {
"line": 76,
"column": 14
} | [
{
"pp": "x : ℝ\n⊢ sinh (arsinh x) = x",
"usedConstants": [
"Real.sinh_eq",
"Eq.mpr",
"Real",
"instHDiv",
"congrArg",
"Real.instDivInvMonoid",
"Real.instSub",
"Nat.instAtLeastTwoHAddOfNat",
"HSub.hSub",
"Real.sinh",
"id",
"HDiv.hDiv",
... | sinh_eq, | Lean.Elab.Tactic.evalRewriteSeq | null |
Mathlib.Analysis.Complex.UpperHalfPlane.Manifold | {
"line": 132,
"column": 8
} | {
"line": 132,
"column": 33
} | [
{
"pp": "case h.convert_2\nf : ℍ → ℂ\nhf : DifferentiableOn ℂ (f ∘ ↑ofComplex) {z | 0 < z.im}\nτ : ℍ\nthis : AnalyticOnNhd ℂ (f ∘ ↑ofComplex) {z | 0 < z.im}\nw : ℍ\nhτ : ∀ᶠ (a : ℍ) in 𝓝 τ, ↑a ∈ {↑τ}ᶜ → (f ∘ ↑ofComplex) ↑a ≠ 0\n⊢ ∀ᶠ (x : ℍ) in 𝓝[≠] τ, f x ≠ 0",
"usedConstants": [
"Eq.mpr",
"con... | eventually_nhdsWithin_iff | Lean.Elab.Tactic.evalRewriteSeq | null |
Mathlib.Topology.Compactification.StoneCech | {
"line": 92,
"column": 4
} | {
"line": 92,
"column": 27
} | [
{
"pp": "case mpr\nα : Type u\nu : Ultrafilter (Ultrafilter α)\nx : Ultrafilter α\n⊢ (∀ s ∈ x, {v | s ∈ v} ∈ u) → ∀ (i : Set (Ultrafilter α)), (x ∈ i ∧ i ∈ range fun s ↦ {u | s ∈ u}) → i ∈ ↑u",
"usedConstants": [
"setOf",
"Membership.mem",
"Ultrafilter.instMembershipSet",
"Ultrafilte... | rintro h a ⟨xi, a, rfl⟩ | _private.Lean.Elab.Tactic.RCases.0.Lean.Elab.Tactic.RCases.evalRIntro | Lean.Parser.Tactic.rintro |
Mathlib.Analysis.Complex.UpperHalfPlane.Metric | {
"line": 168,
"column": 2
} | {
"line": 168,
"column": 84
} | [
{
"pp": "case inr\nz w : ℍ\nr : ℝ\nthis : MetricSpace ℍ := metricSpaceAux\nhr₀ : 0 ≤ r\nhr₀' : 0 ≤ w.im * Real.sinh r\nhzw₀ : 0 < 2 * z.im * w.im\n⊢ cmp (Real.cosh (dist z w)) (Real.cosh r) =\n cmp (2 * z.im * w.im * (Real.cosh (dist z w) - Real.cosh r) + (w.im * Real.sinh r) ^ 2) ((w.im * Real.sinh r) ^ 2)"... | rw [← cmp_mul_pos_left hzw₀, ← cmp_sub_zero, ← mul_sub, ← cmp_add_right, zero_add] | Lean.Parser.Tactic._aux_Init_Tactics___macroRules_Lean_Parser_Tactic_rwSeq_1 | Lean.Parser.Tactic.rwSeq |
Mathlib.Analysis.Complex.UpperHalfPlane.Metric | {
"line": 239,
"column": 10
} | {
"line": 239,
"column": 27
} | [
{
"pp": "z w : ℍ\n⊢ dist ↑z ↑(w.center (dist z w)) + dist ↑w ↑(w.center (dist z w)) = w.im * (rexp (dist z w) - 1)",
"usedConstants": [
"UpperHalfPlane.center",
"Eq.mpr",
"NormedCommRing.toSeminormedCommRing",
"Real",
"HMul.hMul",
"UpperHalfPlane.coe",
"congrArg",
... | dist_center_dist, | Lean.Elab.Tactic.evalRewriteSeq | null |
Mathlib.Analysis.Complex.UpperHalfPlane.Metric | {
"line": 239,
"column": 74
} | {
"line": 239,
"column": 92
} | [
{
"pp": "z w : ℍ\n⊢ w.im * (Real.sinh (dist z w) + Real.cosh (dist z w) - 1) = w.im * (rexp (dist z w) - 1)",
"usedConstants": [
"Eq.mpr",
"Real",
"HMul.hMul",
"congrArg",
"Real.instSub",
"AddMonoid.toAddZeroClass",
"HSub.hSub",
"AddZeroClass.toAddZero",
... | Real.sinh_add_cosh | Lean.Elab.Tactic.evalRewriteSeq | null |
Mathlib.Analysis.Complex.UpperHalfPlane.Metric | {
"line": 247,
"column": 10
} | {
"line": 247,
"column": 27
} | [
{
"pp": "z w : ℍ\n⊢ w.im * (1 - rexp (-dist z w)) = dist ↑z ↑(w.center (dist z w)) - dist ↑w ↑(w.center (dist z w))",
"usedConstants": [
"UpperHalfPlane.center",
"Eq.mpr",
"NormedCommRing.toSeminormedCommRing",
"Real",
"HMul.hMul",
"UpperHalfPlane.coe",
"congrArg",
... | dist_center_dist, | Lean.Elab.Tactic.evalRewriteSeq | null |
Mathlib.Analysis.Complex.UpperHalfPlane.Metric | {
"line": 337,
"column": 30
} | {
"line": 337,
"column": 41
} | [
{
"pp": "z w : ℍ\nr : ℝ\ng : SL(2, ℝ)\ny₁ y₂ : ℍ\nh₁ : 0 ≤ y₁.im * y₂.im\nh₂ : ‖↑y₁ * ↑y₂‖ ≠ 0\n⊢ 2 * arsinh (dist ↑y₁ ↑y₂ / (2 * √(y₁.im * y₂.im)) / (‖↑y₁‖ * ‖↑y₂‖ / ‖↑y₁ * ↑y₂‖)) =\n 2 * arsinh (dist ↑y₁ ↑y₂ / (2 * √(y₁.im * y₂.im)))",
"usedConstants": [
"Norm.norm",
"Eq.mpr",
"Normed... | ← norm_mul, | Lean.Elab.Tactic.evalRewriteSeq | null |
Mathlib.Topology.Compactification.OnePoint.Basic | {
"line": 78,
"column": 6
} | {
"line": 78,
"column": 15
} | [
{
"pp": "X : Type u_1\nx₁ x₂ : X\n⊢ ↑x₁ = ↑x₂ ↔ x₁ = x₂",
"usedConstants": [
"Eq.mpr",
"congrArg",
"OnePoint.some",
"id",
"Iff",
"iff_eq_eq",
"Eq",
"OnePoint"
]
}
] | iff_eq_eq | Lean.Elab.Tactic.evalRewriteSeq | null |
Mathlib.Topology.Compactification.OnePoint.Basic | {
"line": 533,
"column": 2
} | {
"line": 533,
"column": 27
} | [
{
"pp": "case infty.coe\nX : Type u_1\nY : Type u_2\ninst✝² : TopologicalSpace X\ns : Set (OnePoint X)\ninst✝¹ : WeaklyLocallyCompactSpace X\ninst✝ : R1Space X\nkey : ∀ (z : X), Disjoint (𝓝 ↑z) (𝓝 ∞)\nx✝ : X\n⊢ ∞ ⤳ ↑x✝ ∨ Disjoint (𝓝 ∞) (𝓝 ↑x✝)",
"usedConstants": [
"OnePoint.infty",
"Speciali... | · exact .inr (key _).symm | Lean.Elab.Tactic.evalTacticCDot | Lean.cdot |
Mathlib.Analysis.Complex.ValueDistribution.Cartan | {
"line": 83,
"column": 4
} | {
"line": 83,
"column": 12
} | [
{
"pp": "case pos\nf : ℂ → ℂ\nh : ¬MeromorphicAt f 0\nthis : ∀ {a : ℂ}, ¬MeromorphicAt (fun x ↦ f x - a) 0\n⊢ CircleIntegrable (fun a ↦ log ‖meromorphicTrailingCoeffAt (fun x ↦ f x - a) 0‖) 0 1",
"usedConstants": [
"Norm.norm",
"InnerProductSpace.toNormedSpace",
"NormedCommRing.toSeminorme... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Analysis.Complex.ValueDistribution.Cartan | {
"line": 90,
"column": 4
} | {
"line": 92,
"column": 68
} | [
{
"pp": "case neg.inr.inl\nf : ℂ → ℂ\nh : ¬¬MeromorphicAt f 0\nhzero : meromorphicOrderAt f 0 = 0\n⊢ CircleIntegrable (fun a ↦ log ‖meromorphicTrailingCoeffAt (fun x ↦ f x - a) 0‖) 0 1",
"usedConstants": [
"Norm.norm",
"SeminormedAddGroup.toNorm",
"Eq.mpr",
"InnerProductSpace.toNorme... | apply CircleIntegrable.congr_codiscreteWithin
(eventuallyEq_log_trailingCoeff_of_meromorphicOrderAt_eq_zero (not_not.1 h) hzero)
simpa [norm_sub_rev] using circleIntegrable_log_norm_sub_const 1 | Lean.Elab.Tactic.evalTacticSeq1Indented | Lean.Parser.Tactic.tacticSeq1Indented |
Mathlib.Analysis.Complex.ValueDistribution.Cartan | {
"line": 90,
"column": 4
} | {
"line": 92,
"column": 68
} | [
{
"pp": "case neg.inr.inl\nf : ℂ → ℂ\nh : ¬¬MeromorphicAt f 0\nhzero : meromorphicOrderAt f 0 = 0\n⊢ CircleIntegrable (fun a ↦ log ‖meromorphicTrailingCoeffAt (fun x ↦ f x - a) 0‖) 0 1",
"usedConstants": [
"Norm.norm",
"SeminormedAddGroup.toNorm",
"Eq.mpr",
"InnerProductSpace.toNorme... | apply CircleIntegrable.congr_codiscreteWithin
(eventuallyEq_log_trailingCoeff_of_meromorphicOrderAt_eq_zero (not_not.1 h) hzero)
simpa [norm_sub_rev] using circleIntegrable_log_norm_sub_const 1 | Lean.Elab.Tactic.evalTacticSeq | Lean.Parser.Tactic.tacticSeq |
Mathlib.Analysis.Complex.ValueDistribution.Proximity.Basic | {
"line": 148,
"column": 4
} | {
"line": 149,
"column": 87
} | [
{
"pp": "case pos\nE : Type u_1\ninst✝ : NormedAddCommGroup E\nf : ℂ → E\na : WithTop E\nh : a = ⊤\n⊢ 0 ≤ proximity f a",
"usedConstants": [
"dite_cond_eq_true",
"Norm.norm",
"Eq.mpr",
"InnerProductSpace.toNormedSpace",
"NormedCommRing.toSeminormedCommRing",
"Real.instLE"... | intro r
simpa [proximity, h] using circleAverage_nonneg_of_nonneg (fun x _ ↦ posLog_nonneg) | Lean.Elab.Tactic.evalTacticSeq1Indented | Lean.Parser.Tactic.tacticSeq1Indented |
Mathlib.Analysis.Complex.ValueDistribution.Proximity.Basic | {
"line": 148,
"column": 4
} | {
"line": 149,
"column": 87
} | [
{
"pp": "case pos\nE : Type u_1\ninst✝ : NormedAddCommGroup E\nf : ℂ → E\na : WithTop E\nh : a = ⊤\n⊢ 0 ≤ proximity f a",
"usedConstants": [
"dite_cond_eq_true",
"Norm.norm",
"Eq.mpr",
"InnerProductSpace.toNormedSpace",
"NormedCommRing.toSeminormedCommRing",
"Real.instLE"... | intro r
simpa [proximity, h] using circleAverage_nonneg_of_nonneg (fun x _ ↦ posLog_nonneg) | Lean.Elab.Tactic.evalTacticSeq | Lean.Parser.Tactic.tacticSeq |
Mathlib.Analysis.Complex.ValueDistribution.Proximity.Basic | {
"line": 148,
"column": 4
} | {
"line": 149,
"column": 87
} | [
{
"pp": "case neg\nE : Type u_1\ninst✝ : NormedAddCommGroup E\nf : ℂ → E\na : WithTop E\nh : ¬a = ⊤\n⊢ 0 ≤ proximity f a",
"usedConstants": [
"Norm.norm",
"Eq.mpr",
"InnerProductSpace.toNormedSpace",
"NormedCommRing.toSeminormedCommRing",
"Real.instLE",
"Real",
"Wit... | intro r
simpa [proximity, h] using circleAverage_nonneg_of_nonneg (fun x _ ↦ posLog_nonneg) | Lean.Elab.Tactic.evalTacticSeq1Indented | Lean.Parser.Tactic.tacticSeq1Indented |
Mathlib.Analysis.Complex.ValueDistribution.Proximity.Basic | {
"line": 148,
"column": 4
} | {
"line": 149,
"column": 87
} | [
{
"pp": "case neg\nE : Type u_1\ninst✝ : NormedAddCommGroup E\nf : ℂ → E\na : WithTop E\nh : ¬a = ⊤\n⊢ 0 ≤ proximity f a",
"usedConstants": [
"Norm.norm",
"Eq.mpr",
"InnerProductSpace.toNormedSpace",
"NormedCommRing.toSeminormedCommRing",
"Real.instLE",
"Real",
"Wit... | intro r
simpa [proximity, h] using circleAverage_nonneg_of_nonneg (fun x _ ↦ posLog_nonneg) | Lean.Elab.Tactic.evalTacticSeq | Lean.Parser.Tactic.tacticSeq |
Mathlib.Analysis.Complex.ValueDistribution.Proximity.Basic | {
"line": 165,
"column": 88
} | {
"line": 185,
"column": 10
} | [
{
"pp": "E : Type u_1\ninst✝¹ : NormedAddCommGroup E\ninst✝ : NormedSpace ℂ E\nα : Type u_2\ns : Finset α\nf : α → ℂ → E\nhf : ∀ a ∈ s, Meromorphic (f a)\n⊢ proximity (∑ a ∈ s, f a) ⊤ ≤ ∑ a ∈ s, proximity (f a) ⊤ + fun x ↦ log ↑s.card",
"usedConstants": [
"Norm.norm",
"Eq.mpr",
"InnerProdu... | by
simp only [proximity_top, Finset.sum_apply]
intro r
have h₂f : ∀ i ∈ s, CircleIntegrable (log⁺ ‖f i ·‖) 0 r :=
fun i hi ↦ MeromorphicOn.circleIntegrable_posLog_norm (fun x hx ↦ hf i hi x)
simp only [Pi.add_apply, Finset.sum_apply]
calc circleAverage (log⁺ ‖∑ c ∈ s, f c ·‖) 0 r
_ ≤ circleAverage (∑ ... | [anonymous] | Lean.Parser.Term.byTactic |
Mathlib.Analysis.Complex.ValueDistribution.LogCounting.Asymptotic | {
"line": 74,
"column": 2
} | {
"line": 75,
"column": 68
} | [
{
"pp": "E : Type u_1\ninst✝¹ : NormedAddCommGroup E\ninst✝ : ProperSpace E\nD : locallyFinsuppWithin univ ℤ\nh : 0 ≤ D\nh₁ : ¬D = 0\ne : E\nhe : single e 1 ≤ D\na : ℝ\nha : a > 0\nb : ℝ\n⊢ ∃ b_1 ≥ b, 1 < a * |logCounting D b_1|",
"usedConstants": [
"Real.instIsOrderedRing",
"Norm.norm",
"... | obtain ⟨c, hc⟩ := eventually_atTop.1
(isLittleO_iff.1 (one_isLittleO_logCounting_single (e := e)) ha) | _private.Lean.Elab.Tactic.RCases.0.Lean.Elab.Tactic.RCases.evalObtain | Lean.Parser.Tactic.obtain |
Mathlib.Analysis.Complex.ValueDistribution.LogCounting.Asymptotic | {
"line": 81,
"column": 49
} | {
"line": 81,
"column": 71
} | [
{
"pp": "E : Type u_1\ninst✝¹ : NormedAddCommGroup E\ninst✝ : ProperSpace E\nD : locallyFinsuppWithin univ ℤ\nh : 0 ≤ D\nh₁ : ¬D = 0\ne : E\nhe : single e 1 ≤ D\na : ℝ\nha : a > 0\nb c : ℝ\nhc : ∀ b ≥ c, ‖1 b‖ ≤ a * ‖logCounting (single e 1) b‖\nℓ : ℝ := 1 + max ‖e‖ (max |b| |c|)\nh₁ℓ : c ≤ ℓ\nh₂ℓ : 1 ≤ ℓ\n⊢ 1 ... | simpa [h₁ℓ] using hc ℓ | Lean.Elab.Tactic.Simpa.evalSimpa | Lean.Parser.Tactic.simpa |
Mathlib.Analysis.Complex.ValueDistribution.LogCounting.Asymptotic | {
"line": 81,
"column": 49
} | {
"line": 81,
"column": 71
} | [
{
"pp": "E : Type u_1\ninst✝¹ : NormedAddCommGroup E\ninst✝ : ProperSpace E\nD : locallyFinsuppWithin univ ℤ\nh : 0 ≤ D\nh₁ : ¬D = 0\ne : E\nhe : single e 1 ≤ D\na : ℝ\nha : a > 0\nb c : ℝ\nhc : ∀ b ≥ c, ‖1 b‖ ≤ a * ‖logCounting (single e 1) b‖\nℓ : ℝ := 1 + max ‖e‖ (max |b| |c|)\nh₁ℓ : c ≤ ℓ\nh₂ℓ : 1 ≤ ℓ\n⊢ 1 ... | simpa [h₁ℓ] using hc ℓ | Lean.Elab.Tactic.evalTacticSeq1Indented | Lean.Parser.Tactic.tacticSeq1Indented |
Mathlib.Analysis.Complex.ValueDistribution.LogCounting.Asymptotic | {
"line": 81,
"column": 49
} | {
"line": 81,
"column": 71
} | [
{
"pp": "E : Type u_1\ninst✝¹ : NormedAddCommGroup E\ninst✝ : ProperSpace E\nD : locallyFinsuppWithin univ ℤ\nh : 0 ≤ D\nh₁ : ¬D = 0\ne : E\nhe : single e 1 ≤ D\na : ℝ\nha : a > 0\nb c : ℝ\nhc : ∀ b ≥ c, ‖1 b‖ ≤ a * ‖logCounting (single e 1) b‖\nℓ : ℝ := 1 + max ‖e‖ (max |b| |c|)\nh₁ℓ : c ≤ ℓ\nh₂ℓ : 1 ≤ ℓ\n⊢ 1 ... | simpa [h₁ℓ] using hc ℓ | Lean.Elab.Tactic.evalTacticSeq | Lean.Parser.Tactic.tacticSeq |
Mathlib.Analysis.Complex.ValueDistribution.LogCounting.Basic | {
"line": 116,
"column": 8
} | {
"line": 116,
"column": 16
} | [
{
"pp": "case h.e_a.h\nE✝ : Type u_1\ninst✝² : NormedAddCommGroup E✝\nE : Type u_2\ninst✝¹ : NormedAddCommGroup E\ninst✝ : ProperSpace E\nD₁ D₂ : locallyFinsupp E ℤ\nr : ℝ\nthis✝ : ∀ {A B C D : ℝ}, A + B + (C + D) = A + C + (B + D)\nh₁s : (((toClosedBall r) D₁).support ∪ ((toClosedBall r) D₂).support).Finite\nx... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Analysis.Complex.ValueDistribution.LogCounting.Basic | {
"line": 116,
"column": 8
} | {
"line": 116,
"column": 16
} | [
{
"pp": "case h.e_a.h\nE✝ : Type u_1\ninst✝² : NormedAddCommGroup E✝\nE : Type u_2\ninst✝¹ : NormedAddCommGroup E\ninst✝ : ProperSpace E\nD₁ D₂ : locallyFinsupp E ℤ\nr : ℝ\nthis✝ : ∀ {A B C D : ℝ}, A + B + (C + D) = A + C + (B + D)\nh₁s : (((toClosedBall r) D₁).support ∪ ((toClosedBall r) D₂).support).Finite\nx... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Analysis.Complex.ValueDistribution.LogCounting.Basic | {
"line": 116,
"column": 8
} | {
"line": 116,
"column": 16
} | [
{
"pp": "case h.e_a.h\nE✝ : Type u_1\ninst✝² : NormedAddCommGroup E✝\nE : Type u_2\ninst✝¹ : NormedAddCommGroup E\ninst✝ : ProperSpace E\nD₁ D₂ : locallyFinsupp E ℤ\nr : ℝ\nthis✝ : ∀ {A B C D : ℝ}, A + B + (C + D) = A + C + (B + D)\nh₁s : (((toClosedBall r) D₁).support ∪ ((toClosedBall r) D₂).support).Finite\nx... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Analysis.Complex.ValueDistribution.LogCounting.Basic | {
"line": 225,
"column": 4
} | {
"line": 225,
"column": 12
} | [
{
"pp": "case pos\nE : Type u_2\ninst✝¹ : NormedAddCommGroup E\ninst✝ : ProperSpace E\nf : locallyFinsupp E ℤ\nr : ℝ\nh : 0 ≤ f\nhr : 1 ≤ r\nh₃r : 0 < r\na : E\nh₁a : a = 0\n⊢ 0 ≤ ↑(((toClosedBall r) f) a) * log (r * ‖a‖⁻¹)",
"usedConstants": [
"abs_nonneg._simp_1",
"Norm.norm",
"Int.cast"... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Analysis.Complex.ValueDistribution.LogCounting.Basic | {
"line": 225,
"column": 4
} | {
"line": 225,
"column": 12
} | [
{
"pp": "case pos\nE : Type u_2\ninst✝¹ : NormedAddCommGroup E\ninst✝ : ProperSpace E\nf : locallyFinsupp E ℤ\nr : ℝ\nh : 0 ≤ f\nhr : 1 ≤ r\nh₃r : 0 < r\na : E\nh₁a : a = 0\n⊢ 0 ≤ ↑(((toClosedBall r) f) a) * log (r * ‖a‖⁻¹)",
"usedConstants": [
"abs_nonneg._simp_1",
"Norm.norm",
"Int.cast"... | simp_all | Lean.Elab.Tactic.evalTacticSeq1Indented | Lean.Parser.Tactic.tacticSeq1Indented |
Mathlib.Analysis.Complex.ValueDistribution.LogCounting.Basic | {
"line": 225,
"column": 4
} | {
"line": 225,
"column": 12
} | [
{
"pp": "case pos\nE : Type u_2\ninst✝¹ : NormedAddCommGroup E\ninst✝ : ProperSpace E\nf : locallyFinsupp E ℤ\nr : ℝ\nh : 0 ≤ f\nhr : 1 ≤ r\nh₃r : 0 < r\na : E\nh₁a : a = 0\n⊢ 0 ≤ ↑(((toClosedBall r) f) a) * log (r * ‖a‖⁻¹)",
"usedConstants": [
"abs_nonneg._simp_1",
"Norm.norm",
"Int.cast"... | simp_all | Lean.Elab.Tactic.evalTacticSeq | Lean.Parser.Tactic.tacticSeq |
Mathlib.Analysis.Complex.ValueDistribution.LogCounting.Basic | {
"line": 596,
"column": 4
} | {
"line": 596,
"column": 12
} | [
{
"pp": "case e_a\nR : ℝ\nf : ℂ → ℂ\nh : Meromorphic f\nhR : R ≠ 0\nh₁f : MeromorphicOn f (closedBall 0 |R|)\n⊢ ∑ᶠ (z : ℂ), ↑(((toClosedBall R) (divisor f univ)) z) * log (R * ‖z‖⁻¹) =\n ∑ᶠ (u : ℂ), ↑((divisor f (closedBall 0 |R|)) u) * log (R * ‖u‖⁻¹)",
"usedConstants": [
"Norm.norm",
"Int.c... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Analysis.Complex.ValueDistribution.LogCounting.Basic | {
"line": 596,
"column": 4
} | {
"line": 596,
"column": 12
} | [
{
"pp": "case e_a\nR : ℝ\nf : ℂ → ℂ\nh : Meromorphic f\nhR : R ≠ 0\nh₁f : MeromorphicOn f (closedBall 0 |R|)\n⊢ ∑ᶠ (z : ℂ), ↑(((toClosedBall R) (divisor f univ)) z) * log (R * ‖z‖⁻¹) =\n ∑ᶠ (u : ℂ), ↑((divisor f (closedBall 0 |R|)) u) * log (R * ‖u‖⁻¹)",
"usedConstants": [
"Norm.norm",
"Int.c... | simp_all | Lean.Elab.Tactic.evalTacticSeq1Indented | Lean.Parser.Tactic.tacticSeq1Indented |
Mathlib.Analysis.Complex.ValueDistribution.LogCounting.Basic | {
"line": 596,
"column": 4
} | {
"line": 596,
"column": 12
} | [
{
"pp": "case e_a\nR : ℝ\nf : ℂ → ℂ\nh : Meromorphic f\nhR : R ≠ 0\nh₁f : MeromorphicOn f (closedBall 0 |R|)\n⊢ ∑ᶠ (z : ℂ), ↑(((toClosedBall R) (divisor f univ)) z) * log (R * ‖z‖⁻¹) =\n ∑ᶠ (u : ℂ), ↑((divisor f (closedBall 0 |R|)) u) * log (R * ‖u‖⁻¹)",
"usedConstants": [
"Norm.norm",
"Int.c... | simp_all | Lean.Elab.Tactic.evalTacticSeq | Lean.Parser.Tactic.tacticSeq |
Mathlib.Combinatorics.Hall.Basic | {
"line": 150,
"column": 4
} | {
"line": 153,
"column": 9
} | [
{
"pp": "case mpr\nι : Type u\nα : Type v\ninst✝ : DecidableEq α\nt : ι → Finset α\n⊢ (∃ f, Injective f ∧ ∀ (x : ι), f x ∈ t x) → ∀ (s : Finset ι), #s ≤ #(s.biUnion t)",
"usedConstants": [
"Eq.mpr",
"congrArg",
"Finset",
"Finset.card_le_card",
"Membership.mem",
"Exists",
... | rintro ⟨f, hf₁, hf₂⟩ s
rw [← Finset.card_image_of_injective s hf₁]
apply Finset.card_le_card
grind | Lean.Elab.Tactic.evalTacticSeq1Indented | Lean.Parser.Tactic.tacticSeq1Indented |
Mathlib.Combinatorics.Hall.Basic | {
"line": 150,
"column": 4
} | {
"line": 153,
"column": 9
} | [
{
"pp": "case mpr\nι : Type u\nα : Type v\ninst✝ : DecidableEq α\nt : ι → Finset α\n⊢ (∃ f, Injective f ∧ ∀ (x : ι), f x ∈ t x) → ∀ (s : Finset ι), #s ≤ #(s.biUnion t)",
"usedConstants": [
"Eq.mpr",
"congrArg",
"Finset",
"Finset.card_le_card",
"Membership.mem",
"Exists",
... | rintro ⟨f, hf₁, hf₂⟩ s
rw [← Finset.card_image_of_injective s hf₁]
apply Finset.card_le_card
grind | Lean.Elab.Tactic.evalTacticSeq | Lean.Parser.Tactic.tacticSeq |
Mathlib.Data.PEquiv | {
"line": 162,
"column": 66
} | {
"line": 162,
"column": 74
} | [
{
"pp": "case none\nα : Type u\nβ : Type v\nf : α ≃. β\na₁ a₂ : α\nb : β\nh₁ : a₁ ∈ f.symm b\nh₂ : a₂ ∈ f.symm b\nh : f.symm b = none\n⊢ a₁ = a₂",
"usedConstants": [
"PEquiv.instFunLikeOption",
"False",
"Option.ctorIdx",
"congrArg",
"Option.instMembership",
"False.elim",
... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.PEquiv | {
"line": 162,
"column": 66
} | {
"line": 162,
"column": 74
} | [
{
"pp": "case some\nα : Type u\nβ : Type v\nf : α ≃. β\na₁ a₂ : α\nb : β\nh₁ : a₁ ∈ f.symm b\nh₂ : a₂ ∈ f.symm b\nval✝ : α\nh : f.symm b = some val✝\n⊢ a₁ = a₂",
"usedConstants": [
"PEquiv.instFunLikeOption",
"congrArg",
"Option.instMembership",
"Option.some.injEq",
"Option.som... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.PEquiv | {
"line": 322,
"column": 16
} | {
"line": 322,
"column": 24
} | [
{
"pp": "case pos\nα : Type u\nβ : Type v\nγ : Type w\ninst✝² : DecidableEq α\ninst✝¹ : DecidableEq β\ninst✝ : DecidableEq γ\na : α\nb : β\nc : γ\nf : β ≃. γ\nh : c ∈ f b\nx✝ : α\na✝ : γ\nh✝ : x✝ = a\n⊢ ((some b).bind fun a ↦ f a) = some a✝ ↔ some c = some a✝",
"usedConstants": [
"PEquiv.instFunLikeOp... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.PEquiv | {
"line": 322,
"column": 16
} | {
"line": 322,
"column": 24
} | [
{
"pp": "case neg\nα : Type u\nβ : Type v\nγ : Type w\ninst✝² : DecidableEq α\ninst✝¹ : DecidableEq β\ninst✝ : DecidableEq γ\na : α\nb : β\nc : γ\nf : β ≃. γ\nh : c ∈ f b\nx✝ : α\na✝ : γ\nh✝ : ¬x✝ = a\n⊢ (none.bind fun a ↦ f a) = some a✝ ↔ False",
"usedConstants": [
"PEquiv.instFunLikeOption",
"... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.PEquiv | {
"line": 346,
"column": 16
} | {
"line": 346,
"column": 24
} | [
{
"pp": "case pos\nβ : Type v\nγ : Type w\nδ : Type x\ninst✝¹ : DecidableEq β\ninst✝ : DecidableEq γ\nb : β\nc : γ\nf : δ ≃. β\nx✝¹ : δ\na✝¹ : γ\nh : ∀ (a : δ), ¬f a = some b\nx✝ : β\na✝ : f x✝¹ = some x✝\nh✝ : x✝ = b\n⊢ ¬some c = some a✝¹",
"usedConstants": [
"PEquiv.instFunLikeOption",
"False"... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.PEquiv | {
"line": 346,
"column": 16
} | {
"line": 346,
"column": 24
} | [
{
"pp": "case neg\nβ : Type v\nγ : Type w\nδ : Type x\ninst✝¹ : DecidableEq β\ninst✝ : DecidableEq γ\nb : β\nc : γ\nf : δ ≃. β\nx✝¹ : δ\na✝¹ : γ\nh : ∀ (a : δ), ¬f a = some b\nx✝ : β\na✝ : f x✝¹ = some x✝\nh✝ : ¬x✝ = b\n⊢ ¬False",
"usedConstants": [
"False",
"of_eq_true",
"not_false_eq_tru... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Analysis.Convex.Approximation | {
"line": 159,
"column": 90
} | {
"line": 159,
"column": 98
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\ns : Set E\nφ : E → ℝ\ninst✝⁹ : RCLike 𝕜\ninst✝⁸ : TopologicalSpace E\ninst✝⁷ : AddCommGroup E\ninst✝⁶ : Module ℝ E\ninst✝⁵ : Module 𝕜 E\ninst✝⁴ : IsScalarTower ℝ 𝕜 E\ninst✝³ : IsTopologicalAddGroup E\ninst✝² : ContinuousSMul 𝕜 E\ninst✝¹ : LocallyConvexSpace ℝ E\ninst✝ :... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Analysis.Convex.Approximation | {
"line": 169,
"column": 13
} | {
"line": 169,
"column": 21
} | [
{
"pp": "case pos.refine_2.h\n𝕜 : Type u_1\nE : Type u_2\ns : Set E\nφ : E → ℝ\ninst✝⁹ : RCLike 𝕜\ninst✝⁸ : TopologicalSpace E\ninst✝⁷ : AddCommGroup E\ninst✝⁶ : Module ℝ E\ninst✝⁵ : Module 𝕜 E\ninst✝⁴ : IsScalarTower ℝ 𝕜 E\ninst✝³ : IsTopologicalAddGroup E\ninst✝² : ContinuousSMul 𝕜 E\ninst✝¹ : LocallyCon... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Analysis.Convex.Approximation | {
"line": 171,
"column": 53
} | {
"line": 171,
"column": 61
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\ns : Set E\nφ : E → ℝ\ninst✝⁹ : RCLike 𝕜\ninst✝⁸ : TopologicalSpace E\ninst✝⁷ : AddCommGroup E\ninst✝⁶ : Module ℝ E\ninst✝⁵ : Module 𝕜 E\ninst✝⁴ : IsScalarTower ℝ 𝕜 E\ninst✝³ : IsTopologicalAddGroup E\ninst✝² : ContinuousSMul 𝕜 E\ninst✝¹ : LocallyConvexSpace ℝ E\ninst✝ :... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁴ : i✝ = i\nh✝³ : j✝ ∈ some j\nh✝² : i✝ = j✝\nh✝¹ : j✝ ∈ some i\nh✝ : i✝ = j\n⊢ 1 = 1 - 1 - 1 + 1 + 1",
"usedConstants": [
"AddMonoid.toAddSemigroup",
"sub_self",
"AddGroupWit... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : i✝ = i\nh✝⁴ : j✝ ∈ some j\nh✝³ : i✝ = j✝\nh✝² : j✝ ∈ some i\nh✝¹ : ¬i✝ = j\nh✝ : j✝ ∈ none\n⊢ 1 = 1 - 1 - 1 + 1 + 1",
"usedConstants": [
"False",
"AddMonoid.toAddSemigroup",
... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case neg\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : i✝ = i\nh✝⁴ : j✝ ∈ some j\nh✝³ : i✝ = j✝\nh✝² : j✝ ∈ some i\nh✝¹ : ¬i✝ = j\nh✝ : j✝ ∉ none\n⊢ 1 = 1 - 1 - 0 + 1 + 0",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False",... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁴ : i✝ = i\nh✝³ : j✝ ∈ some j\nh✝² : i✝ = j✝\nh✝¹ : j✝ ∉ some i\nh✝ : i✝ = j\n⊢ 1 = 1 - 0 - 1 + 1 + 0",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False",
"AddMonoid.... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : i✝ = i\nh✝⁴ : j✝ ∈ some j\nh✝³ : i✝ = j✝\nh✝² : j✝ ∉ some i\nh✝¹ : ¬i✝ = j\nh✝ : j✝ ∈ none\n⊢ 1 = 1 - 0 - 1 + 1 + 1",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False",... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case neg\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : i✝ = i\nh✝⁴ : j✝ ∈ some j\nh✝³ : i✝ = j✝\nh✝² : j✝ ∉ some i\nh✝¹ : ¬i✝ = j\nh✝ : j✝ ∉ none\n⊢ 1 = 1 - 0 - 0 + 1 + 0",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False",... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁴ : i✝ = i\nh✝³ : j✝ ∈ some j\nh✝² : ¬i✝ = j✝\nh✝¹ : j✝ ∈ some i\nh✝ : i✝ = j\n⊢ 1 = 0 - 1 - 1 + 1 + 1",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False",
"eq_false"... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : i✝ = i\nh✝⁴ : j✝ ∈ some j\nh✝³ : ¬i✝ = j✝\nh✝² : j✝ ∈ some i\nh✝¹ : ¬i✝ = j\nh✝ : j✝ ∈ none\n⊢ 1 = 0 - 1 - 1 + 1 + 1",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False"... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case neg\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : i✝ = i\nh✝⁴ : j✝ ∈ some j\nh✝³ : ¬i✝ = j✝\nh✝² : j✝ ∈ some i\nh✝¹ : ¬i✝ = j\nh✝ : j✝ ∉ none\n⊢ 1 = 0 - 1 - 0 + 1 + 0",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False"... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁴ : i✝ = i\nh✝³ : j✝ ∈ some j\nh✝² : ¬i✝ = j✝\nh✝¹ : j✝ ∉ some i\nh✝ : i✝ = j\n⊢ 1 = 0 - 0 - 1 + 1 + 0",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False",
"eq_false"... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : i✝ = i\nh✝⁴ : j✝ ∈ some j\nh✝³ : ¬i✝ = j✝\nh✝² : j✝ ∉ some i\nh✝¹ : ¬i✝ = j\nh✝ : j✝ ∈ none\n⊢ 1 = 0 - 0 - 1 + 1 + 1",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False"... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case neg\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : i✝ = i\nh✝⁴ : j✝ ∈ some j\nh✝³ : ¬i✝ = j✝\nh✝² : j✝ ∉ some i\nh✝¹ : ¬i✝ = j\nh✝ : j✝ ∉ none\n⊢ 1 = 0 - 0 - 0 + 1 + 0",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"AddMon... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁴ : i✝ = i\nh✝³ : j✝ ∉ some j\nh✝² : i✝ = j✝\nh✝¹ : j✝ ∈ some i\nh✝ : i✝ = j\n⊢ 0 = 1 - 1 - 0 + 0 + 1",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False",
"eq_false",... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : i✝ = i\nh✝⁴ : j✝ ∉ some j\nh✝³ : i✝ = j✝\nh✝² : j✝ ∈ some i\nh✝¹ : ¬i✝ = j\nh✝ : j✝ ∈ none\n⊢ 0 = 1 - 1 - 1 + 0 + 1",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False",... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case neg\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : i✝ = i\nh✝⁴ : j✝ ∉ some j\nh✝³ : i✝ = j✝\nh✝² : j✝ ∈ some i\nh✝¹ : ¬i✝ = j\nh✝ : j✝ ∉ none\n⊢ 0 = 1 - 1 - 0 + 0 + 0",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"AddMono... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁴ : i✝ = i\nh✝³ : j✝ ∉ some j\nh✝² : i✝ = j✝\nh✝¹ : j✝ ∉ some i\nh✝ : i✝ = j\n⊢ 0 = 1 - 0 - 0 + 0 + 0",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False",
"eq_false",... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : i✝ = i\nh✝⁴ : j✝ ∉ some j\nh✝³ : i✝ = j✝\nh✝² : j✝ ∉ some i\nh✝¹ : ¬i✝ = j\nh✝ : j✝ ∈ none\n⊢ 0 = 1 - 0 - 1 + 0 + 1",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False",... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case neg\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : i✝ = i\nh✝⁴ : j✝ ∉ some j\nh✝³ : i✝ = j✝\nh✝² : j✝ ∉ some i\nh✝¹ : ¬i✝ = j\nh✝ : j✝ ∉ none\n⊢ 0 = 1 - 0 - 0 + 0 + 0",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False",... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁴ : i✝ = i\nh✝³ : j✝ ∉ some j\nh✝² : ¬i✝ = j✝\nh✝¹ : j✝ ∈ some i\nh✝ : i✝ = j\n⊢ 0 = 0 - 1 - 0 + 0 + 1",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False",
"AddMonoid... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : i✝ = i\nh✝⁴ : j✝ ∉ some j\nh✝³ : ¬i✝ = j✝\nh✝² : j✝ ∈ some i\nh✝¹ : ¬i✝ = j\nh✝ : j✝ ∈ none\n⊢ 0 = 0 - 1 - 1 + 0 + 1",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False"... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case neg\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : i✝ = i\nh✝⁴ : j✝ ∉ some j\nh✝³ : ¬i✝ = j✝\nh✝² : j✝ ∈ some i\nh✝¹ : ¬i✝ = j\nh✝ : j✝ ∉ none\n⊢ 0 = 0 - 1 - 0 + 0 + 0",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False"... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁴ : i✝ = i\nh✝³ : j✝ ∉ some j\nh✝² : ¬i✝ = j✝\nh✝¹ : j✝ ∉ some i\nh✝ : i✝ = j\n⊢ 0 = 0 - 0 - 0 + 0 + 0",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"AddMonoid.toAddSemigroup... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : i✝ = i\nh✝⁴ : j✝ ∉ some j\nh✝³ : ¬i✝ = j✝\nh✝² : j✝ ∉ some i\nh✝¹ : ¬i✝ = j\nh✝ : j✝ ∈ none\n⊢ 0 = 0 - 0 - 1 + 0 + 1",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False"... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case neg\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : i✝ = i\nh✝⁴ : j✝ ∉ some j\nh✝³ : ¬i✝ = j✝\nh✝² : j✝ ∉ some i\nh✝¹ : ¬i✝ = j\nh✝ : j✝ ∉ none\n⊢ 0 = 0 - 0 - 0 + 0 + 0",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"AddMon... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : ¬i✝ = i\nh✝⁴ : i✝ = j\nh✝³ : j✝ ∈ some i\nh✝² : i✝ = j✝\nh✝¹ : j✝ ∈ none\nh✝ : j✝ ∈ some j\n⊢ 1 = 1 - 1 - 1 + 1 + 1",
"usedConstants": [
"False",
"AddMonoid.toAddSemigroup",
... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case neg\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : ¬i✝ = i\nh✝⁴ : i✝ = j\nh✝³ : j✝ ∈ some i\nh✝² : i✝ = j✝\nh✝¹ : j✝ ∈ none\nh✝ : j✝ ∉ some j\n⊢ 1 = 1 - 1 - 0 + 1 + 1",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False",... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : ¬i✝ = i\nh✝⁴ : i✝ = j\nh✝³ : j✝ ∈ some i\nh✝² : i✝ = j✝\nh✝¹ : j✝ ∉ none\nh✝ : j✝ ∈ some j\n⊢ 1 = 1 - 0 - 1 + 0 + 1",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"AddMono... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case neg\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : ¬i✝ = i\nh✝⁴ : i✝ = j\nh✝³ : j✝ ∈ some i\nh✝² : i✝ = j✝\nh✝¹ : j✝ ∉ none\nh✝ : j✝ ∉ some j\n⊢ 1 = 1 - 0 - 0 + 0 + 1",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False",... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : ¬i✝ = i\nh✝⁴ : i✝ = j\nh✝³ : j✝ ∈ some i\nh✝² : ¬i✝ = j✝\nh✝¹ : j✝ ∈ none\nh✝ : j✝ ∈ some j\n⊢ 1 = 0 - 1 - 1 + 1 + 1",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False"... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case neg\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : ¬i✝ = i\nh✝⁴ : i✝ = j\nh✝³ : j✝ ∈ some i\nh✝² : ¬i✝ = j✝\nh✝¹ : j✝ ∈ none\nh✝ : j✝ ∉ some j\n⊢ 1 = 0 - 1 - 0 + 1 + 1",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False"... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : ¬i✝ = i\nh✝⁴ : i✝ = j\nh✝³ : j✝ ∈ some i\nh✝² : ¬i✝ = j✝\nh✝¹ : j✝ ∉ none\nh✝ : j✝ ∈ some j\n⊢ 1 = 0 - 0 - 1 + 0 + 1",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False"... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case neg\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : ¬i✝ = i\nh✝⁴ : i✝ = j\nh✝³ : j✝ ∈ some i\nh✝² : ¬i✝ = j✝\nh✝¹ : j✝ ∉ none\nh✝ : j✝ ∉ some j\n⊢ 1 = 0 - 0 - 0 + 0 + 1",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"AddMon... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : ¬i✝ = i\nh✝⁴ : i✝ = j\nh✝³ : j✝ ∉ some i\nh✝² : i✝ = j✝\nh✝¹ : j✝ ∈ none\nh✝ : j✝ ∈ some j\n⊢ 0 = 1 - 1 - 1 + 1 + 0",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False",... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case neg\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : ¬i✝ = i\nh✝⁴ : i✝ = j\nh✝³ : j✝ ∉ some i\nh✝² : i✝ = j✝\nh✝¹ : j✝ ∈ none\nh✝ : j✝ ∉ some j\n⊢ 0 = 1 - 1 - 0 + 1 + 0",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False",... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : ¬i✝ = i\nh✝⁴ : i✝ = j\nh✝³ : j✝ ∉ some i\nh✝² : i✝ = j✝\nh✝¹ : j✝ ∉ none\nh✝ : j✝ ∈ some j\n⊢ 0 = 1 - 0 - 1 + 0 + 0",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"AddMono... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case neg\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : ¬i✝ = i\nh✝⁴ : i✝ = j\nh✝³ : j✝ ∉ some i\nh✝² : i✝ = j✝\nh✝¹ : j✝ ∉ none\nh✝ : j✝ ∉ some j\n⊢ 0 = 1 - 0 - 0 + 0 + 0",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False",... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : ¬i✝ = i\nh✝⁴ : i✝ = j\nh✝³ : j✝ ∉ some i\nh✝² : ¬i✝ = j✝\nh✝¹ : j✝ ∈ none\nh✝ : j✝ ∈ some j\n⊢ 0 = 0 - 1 - 1 + 1 + 0",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False"... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case neg\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : ¬i✝ = i\nh✝⁴ : i✝ = j\nh✝³ : j✝ ∉ some i\nh✝² : ¬i✝ = j✝\nh✝¹ : j✝ ∈ none\nh✝ : j✝ ∉ some j\n⊢ 0 = 0 - 1 - 0 + 1 + 0",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False"... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : ¬i✝ = i\nh✝⁴ : i✝ = j\nh✝³ : j✝ ∉ some i\nh✝² : ¬i✝ = j✝\nh✝¹ : j✝ ∉ none\nh✝ : j✝ ∈ some j\n⊢ 0 = 0 - 0 - 1 + 0 + 0",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False"... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case neg\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁵ : ¬i✝ = i\nh✝⁴ : i✝ = j\nh✝³ : j✝ ∉ some i\nh✝² : ¬i✝ = j✝\nh✝¹ : j✝ ∉ none\nh✝ : j✝ ∉ some j\n⊢ 0 = 0 - 0 - 0 + 0 + 0",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"AddMon... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁴ : ¬i✝ = i\nh✝³ : ¬i✝ = j\nh✝² : j✝ ∈ some i✝\nh✝¹ : i✝ = j✝\nh✝ : j✝ ∈ none\n⊢ 1 = 1 - 1 - 1 + 1 + 1",
"usedConstants": [
"False",
"AddMonoid.toAddSemigroup",
"AddGroupWithO... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case neg\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁴ : ¬i✝ = i\nh✝³ : ¬i✝ = j\nh✝² : j✝ ∈ some i✝\nh✝¹ : i✝ = j✝\nh✝ : j✝ ∉ none\n⊢ 1 = 1 - 0 - 0 + 0 + 0",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"AddMonoid.toAddSemigroup... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁴ : ¬i✝ = i\nh✝³ : ¬i✝ = j\nh✝² : j✝ ∈ some i✝\nh✝¹ : ¬i✝ = j✝\nh✝ : j✝ ∈ none\n⊢ 1 = 0 - 1 - 1 + 1 + 1",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False",
"eq_false... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case neg\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁴ : ¬i✝ = i\nh✝³ : ¬i✝ = j\nh✝² : j✝ ∈ some i✝\nh✝¹ : ¬i✝ = j✝\nh✝ : j✝ ∉ none\n⊢ 1 = 0 - 0 - 0 + 0 + 0",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False",
"eq_false... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁴ : ¬i✝ = i\nh✝³ : ¬i✝ = j\nh✝² : j✝ ∉ some i✝\nh✝¹ : i✝ = j✝\nh✝ : j✝ ∈ none\n⊢ 0 = 1 - 1 - 1 + 1 + 1",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False",
"AddMonoid... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case neg\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁴ : ¬i✝ = i\nh✝³ : ¬i✝ = j\nh✝² : j✝ ∉ some i✝\nh✝¹ : i✝ = j✝\nh✝ : j✝ ∉ none\n⊢ 0 = 1 - 0 - 0 + 0 + 0",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False",
"AddMonoid... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
Mathlib.Data.Matrix.PEquiv | {
"line": 165,
"column": 16
} | {
"line": 165,
"column": 24
} | [
{
"pp": "case pos\nn : Type u_4\nα : Type u_5\ninst✝¹ : DecidableEq n\ninst✝ : AddGroupWithOne α\ni j i✝ j✝ : n\nh✝⁴ : ¬i✝ = i\nh✝³ : ¬i✝ = j\nh✝² : j✝ ∉ some i✝\nh✝¹ : ¬i✝ = j✝\nh✝ : j✝ ∈ none\n⊢ 0 = 0 - 1 - 1 + 1 + 1",
"usedConstants": [
"AddGroup.toSubtractionMonoid",
"False",
"AddMonoi... | simp_all | Lean.Elab.Tactic.evalSimpAll | Lean.Parser.Tactic.simpAll |
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