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.Analysis.Calculus.TangentCone.DimOne | {
"line": 33,
"column": 4
} | {
"line": 33,
"column": 45
} | [
{
"pp": "case hds\n𝕜 : Type u_1\ninst✝ : NormedDivisionRing 𝕜\ns : Set 𝕜\nx : 𝕜\nhx : AccPt x (𝓟 s)\ny : 𝕜\n⊢ ∃ᶠ (n : 𝕜) in 𝓝[≠] x, x + (n - x) ∈ s",
"usedConstants": [
"Eq.mpr",
"NormedRing.toRing",
"AddGroupWithOne.toAddGroup",
"congrArg",
"AddCommGroup.toAddCommMonoi... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.TangentCone.DimOne | {
"line": 36,
"column": 27
} | {
"line": 36,
"column": 52
} | [
{
"pp": "𝕜 : Type u_1\ninst✝ : NormedDivisionRing 𝕜\ns : Set 𝕜\nx : 𝕜\nhx : AccPt x (𝓟 s)\ny z : 𝕜\nhz : z ∈ {x}ᶜ\n⊢ z - x ≠ 0",
"usedConstants": [
"Eq.mpr",
"NormedRing.toRing",
"AddGroupWithOne.toAddGroup",
"congrArg",
"NormedDivisionRing.toNormedRing",
"HSub.hSub... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.TangentCone.Basic | {
"line": 174,
"column": 2
} | {
"line": 174,
"column": 13
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\ninst✝⁵ : AddCommGroup E\ninst✝⁴ : Semiring 𝕜\ninst✝³ : Module 𝕜 E\ninst✝² : TopologicalSpace E\ninst✝¹ : ContinuousAdd E\ns : Set E\nx : E\ninst✝ : T2Space E\nhx : ¬AccPt x (𝓟 s)\ny : E\nhy : y ∈ tangentConeAt 𝕜 s x\nι : Type (max u_1 u_2)\nl : Filter ι\nhl : l.NeBot\nc... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.TangentCone.Basic | {
"line": 200,
"column": 4
} | {
"line": 200,
"column": 15
} | [
{
"pp": "case refine_1\n𝕜 : Type u_1\nE : Type u_2\ninst✝⁶ : DivisionSemiring 𝕜\ninst✝⁵ : AddCommGroup E\ninst✝⁴ : Module 𝕜 E\ninst✝³ : TopologicalSpace 𝕜\ninst✝² : TopologicalSpace E\ninst✝¹ : ContinuousSMul 𝕜 E\ns : Set E\nx y : E\nα : Type u_3\nl : Filter α\ninst✝ : l.NeBot\nc : α → 𝕜\nhc₀ : Tendsto c ... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.TangentCone.Basic | {
"line": 289,
"column": 2
} | {
"line": 289,
"column": 31
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\ninst✝⁷ : DivisionSemiring 𝕜\ninst✝⁶ : AddCommGroup E\ninst✝⁵ : Module 𝕜 E\ninst✝⁴ : TopologicalSpace E\ninst✝³ : TopologicalSpace 𝕜\ninst✝² : (𝓝[≠] 0).NeBot\ninst✝¹ : ContinuousSMul 𝕜 E\nx : E\ns : Set E\ninst✝ : ContinuousAdd E\nh : s ∈ 𝓝 x\n⊢ UniqueDiffWithinAt 𝕜 s... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.RingTheory.PowerSeries.Substitution | {
"line": 531,
"column": 48
} | {
"line": 531,
"column": 59
} | [
{
"pp": "R : Type u_2\ninst✝¹ : CommRing R\nP : R⟦X⟧\nhP : constantCoeff P = 0\ninst✝ : Invertible ((coeff 1) P)\n⊢ Invertible ((coeff 1) P.substInv)",
"usedConstants": [
"Eq.mpr",
"Semiring.toModule",
"congrArg",
"CommSemiring.toSemiring",
"AddGroupWithOne.toAddMonoidWithOne",... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.FDeriv.Congr | {
"line": 49,
"column": 6
} | {
"line": 50,
"column": 13
} | [
{
"pp": "𝕜 : Type u_1\ninst✝⁶ : NontriviallyNormedField 𝕜\nE : Type u_2\ninst✝⁵ : AddCommGroup E\ninst✝⁴ : Module 𝕜 E\ninst✝³ : TopologicalSpace E\nF : Type u_3\ninst✝² : AddCommGroup F\ninst✝¹ : Module 𝕜 F\ninst✝ : TopologicalSpace F\nf : E → F\nf' : E →L[𝕜] F\nx : E\ns t : Set E\nh : s =ᶠ[𝓝[≠] x] t\n⊢ �... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.Deriv.Basic | {
"line": 543,
"column": 4
} | {
"line": 543,
"column": 15
} | [
{
"pp": "case pos\nE : Type u_1\ninst✝¹ : NormedAddCommGroup E\ninst✝ : NormedSpace ℝ E\nf : ℝ → E\nx : ℝ\nH : DifferentiableWithinAt ℝ f (Ioi x) x\nA : HasDerivWithinAt f (derivWithin f (Ioi x) x) (Ici x) x\nB : HasDerivWithinAt f (derivWithin f (Ici x) x) (Ici x) x\n⊢ derivWithin f (Ioi x) x = derivWithin f (... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.Deriv.Basic | {
"line": 873,
"column": 2
} | {
"line": 873,
"column": 13
} | [
{
"pp": "𝕜 : Type u\ninst✝² : NontriviallyNormedField 𝕜\nF : Type v\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : 𝕜 → F\nf' : F\nx₀ : 𝕜\nhf : HasDerivAt f f' x₀\nC : ℝ\nhC₀ : 0 ≤ C\nhlip : ∀ᶠ (x : 𝕜) in 𝓝 x₀, ‖f x - f x₀‖ ≤ C * ‖x - x₀‖\n⊢ ‖f'‖ ≤ C",
"usedConstants": []
}
] | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.Deriv.Basic | {
"line": 879,
"column": 2
} | {
"line": 879,
"column": 13
} | [
{
"pp": "𝕜 : Type u\ninst✝² : NontriviallyNormedField 𝕜\nF : Type v\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : 𝕜 → F\nf' : F\nx₀ : 𝕜\nhf : HasDerivAt f f' x₀\ns : Set 𝕜\nhs : s ∈ 𝓝 x₀\nC : ℝ≥0\nhlip : LipschitzOnWith C f s\n⊢ ‖f'‖ ≤ ↑C",
"usedConstants": []
}
] | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.Deriv.Basic | {
"line": 885,
"column": 2
} | {
"line": 885,
"column": 13
} | [
{
"pp": "𝕜 : Type u\ninst✝² : NontriviallyNormedField 𝕜\nF : Type v\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : 𝕜 → F\nf' : F\nx₀ : 𝕜\nhf : HasDerivAt f f' x₀\nC : ℝ≥0\nhlip : LipschitzWith C f\n⊢ ‖f'‖ ≤ ↑C",
"usedConstants": []
}
] | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.Deriv.Basic | {
"line": 893,
"column": 2
} | {
"line": 893,
"column": 41
} | [
{
"pp": "𝕜 : Type u\ninst✝² : NontriviallyNormedField 𝕜\nF : Type v\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : 𝕜 → F\nx₀ : 𝕜\nC : ℝ\nhC₀ : 0 ≤ C\nhlip : ∀ᶠ (x : 𝕜) in 𝓝 x₀, ‖f x - f x₀‖ ≤ C * ‖x - x₀‖\n⊢ ‖deriv f x₀‖ ≤ C",
"usedConstants": [
"NormedCommRing.toNormedRing",
... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.Deriv.Basic | {
"line": 900,
"column": 2
} | {
"line": 900,
"column": 41
} | [
{
"pp": "𝕜 : Type u\ninst✝² : NontriviallyNormedField 𝕜\nF : Type v\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : 𝕜 → F\nx₀ : 𝕜\ns : Set 𝕜\nhs : s ∈ 𝓝 x₀\nC : ℝ≥0\nhlip : LipschitzOnWith C f s\n⊢ ‖deriv f x₀‖ ≤ ↑C",
"usedConstants": [
"NormedCommRing.toNormedRing",
"Norm.no... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.Deriv.Basic | {
"line": 907,
"column": 2
} | {
"line": 907,
"column": 41
} | [
{
"pp": "𝕜 : Type u\ninst✝² : NontriviallyNormedField 𝕜\nF : Type v\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : 𝕜 → F\nx₀ : 𝕜\nC : ℝ≥0\nhlip : LipschitzWith C f\n⊢ ‖deriv f x₀‖ ≤ ↑C",
"usedConstants": [
"NormedCommRing.toNormedRing",
"Norm.norm",
"Eq.mpr",
"Norm... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.FDeriv.Basic | {
"line": 147,
"column": 14
} | {
"line": 147,
"column": 25
} | [
{
"pp": "𝕜 : Type u_1\ninst✝¹⁰ : NontriviallyNormedField 𝕜\nE : Type u_2\ninst✝⁹ : AddCommGroup E\ninst✝⁸ : Module 𝕜 E\ninst✝⁷ : TopologicalSpace E\ninst✝⁶ : ContinuousAdd E\ninst✝⁵ : ContinuousSMul 𝕜 E\nF : Type u_3\ninst✝⁴ : AddCommGroup F\ninst✝³ : Module 𝕜 F\ninst✝² : TopologicalSpace F\ninst✝¹ : Conti... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.FDeriv.Basic | {
"line": 150,
"column": 6
} | {
"line": 150,
"column": 28
} | [
{
"pp": "𝕜 : Type u_1\ninst✝¹⁰ : NontriviallyNormedField 𝕜\nE : Type u_2\ninst✝⁹ : AddCommGroup E\ninst✝⁸ : Module 𝕜 E\ninst✝⁷ : TopologicalSpace E\ninst✝⁶ : ContinuousAdd E\ninst✝⁵ : ContinuousSMul 𝕜 E\nF : Type u_3\ninst✝⁴ : AddCommGroup F\ninst✝³ : Module 𝕜 F\ninst✝² : TopologicalSpace F\ninst✝¹ : Conti... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.FDeriv.Basic | {
"line": 153,
"column": 2
} | {
"line": 153,
"column": 13
} | [
{
"pp": "𝕜 : Type u_1\ninst✝¹⁰ : NontriviallyNormedField 𝕜\nE : Type u_2\ninst✝⁹ : AddCommGroup E\ninst✝⁸ : Module 𝕜 E\ninst✝⁷ : TopologicalSpace E\ninst✝⁶ : ContinuousAdd E\ninst✝⁵ : ContinuousSMul 𝕜 E\nF : Type u_3\ninst✝⁴ : AddCommGroup F\ninst✝³ : Module 𝕜 F\ninst✝² : TopologicalSpace F\ninst✝¹ : Conti... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.FDeriv.Basic | {
"line": 175,
"column": 2
} | {
"line": 175,
"column": 42
} | [
{
"pp": "𝕜 : Type u_1\ninst✝¹¹ : NontriviallyNormedField 𝕜\nE : Type u_2\ninst✝¹⁰ : AddCommGroup E\ninst✝⁹ : Module 𝕜 E\ninst✝⁸ : TopologicalSpace E\ninst✝⁷ : ContinuousAdd E\ninst✝⁶ : ContinuousSMul 𝕜 E\nF : Type u_3\ninst✝⁵ : AddCommGroup F\ninst✝⁴ : Module 𝕜 F\ninst✝³ : TopologicalSpace F\ninst✝² : Cont... | rw [HasFDerivAt, ← nhdsWithin_univ] at * | Lean.Parser.Tactic._aux_Init_Tactics___macroRules_Lean_Parser_Tactic_rwSeq_1 | Lean.Parser.Tactic.rwSeq |
Mathlib.Analysis.Calculus.FDeriv.Basic | {
"line": 320,
"column": 4
} | {
"line": 320,
"column": 20
} | [
{
"pp": "𝕜 : Type u_1\ninst✝⁶ : NontriviallyNormedField 𝕜\nE : Type u_2\ninst✝⁵ : AddCommGroup E\ninst✝⁴ : Module 𝕜 E\ninst✝³ : TopologicalSpace E\nF : Type u_3\ninst✝² : AddCommGroup F\ninst✝¹ : Module 𝕜 F\ninst✝ : TopologicalSpace F\nf : E → F\nf' : E →L[𝕜] F\nx : E\nhf : HasStrictFDerivAt f f' x\n⊢ (fun... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.FDeriv.Basic | {
"line": 334,
"column": 4
} | {
"line": 334,
"column": 15
} | [
{
"pp": "case refine_1\n𝕜 : Type u_1\ninst✝¹⁰ : NontriviallyNormedField 𝕜\nE : Type u_2\ninst✝⁹ : AddCommGroup E\ninst✝⁸ : Module 𝕜 E\ninst✝⁷ : TopologicalSpace E\nF : Type u_3\ninst✝⁶ : AddCommGroup F\ninst✝⁵ : Module 𝕜 F\ninst✝⁴ : TopologicalSpace F\nf : E → F\nf' : E →L[𝕜] F\nx : E\ninst✝³ : ContinuousA... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Asymptotics.TVS | {
"line": 223,
"column": 2
} | {
"line": 223,
"column": 13
} | [
{
"pp": "case right\nα : Type u_1\n𝕜 : Type u_3\nE : Type u_4\nF : Type u_5\ninst✝⁶ : NontriviallyNormedField 𝕜\ninst✝⁵ : AddCommGroup E\ninst✝⁴ : TopologicalSpace E\ninst✝³ : Module 𝕜 E\ninst✝² : AddCommGroup F\ninst✝¹ : TopologicalSpace F\ninst✝ : Module 𝕜 F\nl : Filter α\nf : α → E\ng : α → F\nh : f =o[�... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.FormalMultilinearSeries | {
"line": 290,
"column": 2
} | {
"line": 291,
"column": 9
} | [
{
"pp": "𝕜 : Type u\nE : Type v\nF : Type w\ninst✝¹⁰ : Semiring 𝕜\ninst✝⁹ : AddCommMonoid E\ninst✝⁸ : Module 𝕜 E\ninst✝⁷ : TopologicalSpace E\ninst✝⁶ : ContinuousAdd E\ninst✝⁵ : ContinuousConstSMul 𝕜 E\ninst✝⁴ : AddCommMonoid F\ninst✝³ : Module 𝕜 F\ninst✝² : TopologicalSpace F\ninst✝¹ : ContinuousAdd F\nin... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.FDeriv.Basic | {
"line": 601,
"column": 2
} | {
"line": 601,
"column": 13
} | [
{
"pp": "𝕜 : Type u_1\ninst✝⁸ : NontriviallyNormedField 𝕜\nE : Type u_2\ninst✝⁷ : AddCommGroup E\ninst✝⁶ : Module 𝕜 E\ninst✝⁵ : TopologicalSpace E\nF : Type u_3\ninst✝⁴ : AddCommGroup F\ninst✝³ : Module 𝕜 F\ninst✝² : TopologicalSpace F\nf : E → F\nf' : E →L[𝕜] F\nL : Filter (E × E)\ninst✝¹ : ContinuousAdd ... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.FDeriv.Basic | {
"line": 609,
"column": 2
} | {
"line": 609,
"column": 13
} | [
{
"pp": "𝕜 : Type u_1\ninst✝⁸ : NontriviallyNormedField 𝕜\nE : Type u_2\ninst✝⁷ : AddCommGroup E\ninst✝⁶ : Module 𝕜 E\ninst✝⁵ : TopologicalSpace E\nF : Type u_3\ninst✝⁴ : AddCommGroup F\ninst✝³ : Module 𝕜 F\ninst✝² : TopologicalSpace F\nf : E → F\nf' : E →L[𝕜] F\nx : E\ns : Set E\ninst✝¹ : ContinuousAdd F\... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.FDeriv.Basic | {
"line": 616,
"column": 2
} | {
"line": 616,
"column": 13
} | [
{
"pp": "𝕜 : Type u_1\ninst✝⁸ : NontriviallyNormedField 𝕜\nE : Type u_2\ninst✝⁷ : AddCommGroup E\ninst✝⁶ : Module 𝕜 E\ninst✝⁵ : TopologicalSpace E\nF : Type u_3\ninst✝⁴ : AddCommGroup F\ninst✝³ : Module 𝕜 F\ninst✝² : TopologicalSpace F\nf : E → F\nf' : E →L[𝕜] F\nx : E\ninst✝¹ : ContinuousAdd F\ninst✝ : Co... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.FDeriv.Basic | {
"line": 635,
"column": 4
} | {
"line": 635,
"column": 32
} | [
{
"pp": "𝕜 : Type u_1\ninst✝¹⁰ : NontriviallyNormedField 𝕜\nE : Type u_2\ninst✝⁹ : AddCommGroup E\ninst✝⁸ : Module 𝕜 E\ninst✝⁷ : TopologicalSpace E\nF : Type u_3\ninst✝⁶ : AddCommGroup F\ninst✝⁵ : Module 𝕜 F\ninst✝⁴ : TopologicalSpace F\nf : E → F\nf' : E →L[𝕜] F\nx : E\ninst✝³ : ContinuousAdd E\ninst✝² : ... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.FDeriv.Basic | {
"line": 637,
"column": 2
} | {
"line": 637,
"column": 13
} | [
{
"pp": "𝕜 : Type u_1\ninst✝¹⁰ : NontriviallyNormedField 𝕜\nE : Type u_2\ninst✝⁹ : AddCommGroup E\ninst✝⁸ : Module 𝕜 E\ninst✝⁷ : TopologicalSpace E\nF : Type u_3\ninst✝⁶ : AddCommGroup F\ninst✝⁵ : Module 𝕜 F\ninst✝⁴ : TopologicalSpace F\nf : E → F\nf' : E →L[𝕜] F\nx : E\ninst✝³ : ContinuousAdd E\ninst✝² : ... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.FDeriv.Basic | {
"line": 750,
"column": 2
} | {
"line": 750,
"column": 13
} | [
{
"pp": "𝕜 : Type u_1\ninst✝⁵ : NontriviallyNormedField 𝕜\nE : Type u_2\ninst✝⁴ : AddCommGroup E\ninst✝³ : Module 𝕜 E\ninst✝² : TopologicalSpace E\nF : Type u_3\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : E → F\nf' : E →L[𝕜] F\nx : E\nhf : HasFDerivAt f f' x\nhf' : IsInducing ⇑f'\n⊢ (fun x... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.FDeriv.Basic | {
"line": 754,
"column": 2
} | {
"line": 754,
"column": 26
} | [
{
"pp": "𝕜 : Type u_1\ninst✝⁵ : NontriviallyNormedField 𝕜\nE : Type u_2\ninst✝⁴ : AddCommGroup E\ninst✝³ : Module 𝕜 E\ninst✝² : TopologicalSpace E\nF : Type u_3\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : E → F\nf' : E →L[𝕜] F\nx : E\nhf : HasFDerivAt f f' x\nhf' : IsInducing ⇑f'\n⊢ (fun x... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.FDeriv.Basic | {
"line": 759,
"column": 2
} | {
"line": 759,
"column": 13
} | [
{
"pp": "𝕜 : Type u_1\ninst✝⁵ : NontriviallyNormedField 𝕜\nE : Type u_2\ninst✝⁴ : AddCommGroup E\ninst✝³ : Module 𝕜 E\ninst✝² : TopologicalSpace E\nF : Type u_3\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : E → F\nf' : E →L[𝕜] F\nx : E\ns : Set E\nhf : HasFDerivWithinAt f f' s x\nhf' : IsInd... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.FDeriv.Basic | {
"line": 764,
"column": 2
} | {
"line": 764,
"column": 26
} | [
{
"pp": "𝕜 : Type u_1\ninst✝⁵ : NontriviallyNormedField 𝕜\nE : Type u_2\ninst✝⁴ : AddCommGroup E\ninst✝³ : Module 𝕜 E\ninst✝² : TopologicalSpace E\nF : Type u_3\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : E → F\nf' : E →L[𝕜] F\nx : E\ns : Set E\nhf : HasFDerivWithinAt f f' s x\nhf' : IsInd... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.FDeriv.Basic | {
"line": 965,
"column": 2
} | {
"line": 965,
"column": 13
} | [
{
"pp": "𝕜 : Type u_1\nV : Type u_2\nV' : Type u_3\nW : Type u_4\nW' : Type u_5\ninst✝¹⁰ : NontriviallyNormedField 𝕜\nσ σ' : 𝕜 →+* 𝕜\ninst✝⁹ : NormedAddCommGroup V\ninst✝⁸ : NormedSpace 𝕜 V\ninst✝⁷ : NormedAddCommGroup V'\ninst✝⁶ : NormedSpace 𝕜 V'\ninst✝⁵ : NormedAddCommGroup W\ninst✝⁴ : NormedSpace 𝕜 W... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Calculus.FDeriv.Basic | {
"line": 971,
"column": 2
} | {
"line": 971,
"column": 13
} | [
{
"pp": "𝕜 : Type u_1\nV : Type u_2\nV' : Type u_3\nW : Type u_4\nW' : Type u_5\ninst✝¹⁰ : NontriviallyNormedField 𝕜\nσ σ' : 𝕜 →+* 𝕜\ninst✝⁹ : NormedAddCommGroup V\ninst✝⁸ : NormedSpace 𝕜 V\ninst✝⁷ : NormedAddCommGroup V'\ninst✝⁶ : NormedSpace 𝕜 V'\ninst✝⁵ : NormedAddCommGroup W\ninst✝⁴ : NormedSpace 𝕜 W... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Asymptotics.TVS | {
"line": 530,
"column": 2
} | {
"line": 530,
"column": 13
} | [
{
"pp": "α : Type u_1\n𝕜 : Type u_3\nE : Type u_4\nF : Type u_5\ninst✝⁸ : NontriviallyNormedField 𝕜\ninst✝⁷ : AddCommGroup E\ninst✝⁶ : TopologicalSpace E\ninst✝⁵ : Module 𝕜 E\ninst✝⁴ : AddCommGroup F\ninst✝³ : TopologicalSpace F\ninst✝² : Module 𝕜 F\ninst✝¹ : ContinuousAdd E\ninst✝ : ContinuousSMul 𝕜 E\nf₁... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Asymptotics.TVS | {
"line": 535,
"column": 2
} | {
"line": 535,
"column": 13
} | [
{
"pp": "α : Type u_1\n𝕜 : Type u_3\nE : Type u_4\nF : Type u_5\ninst✝⁸ : NontriviallyNormedField 𝕜\ninst✝⁷ : AddCommGroup E\ninst✝⁶ : TopologicalSpace E\ninst✝⁵ : Module 𝕜 E\ninst✝⁴ : AddCommGroup F\ninst✝³ : TopologicalSpace F\ninst✝² : Module 𝕜 F\ninst✝¹ : ContinuousAdd E\ninst✝ : ContinuousSMul 𝕜 E\nf₁... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Asymptotics.TVS | {
"line": 546,
"column": 14
} | {
"line": 546,
"column": 25
} | [
{
"pp": "α : Type u_1\n𝕜 : Type u_3\nE : Type u_4\nF : Type u_5\ninst✝⁷ : NontriviallyNormedField 𝕜\ninst✝⁶ : AddCommGroup E\ninst✝⁵ : TopologicalSpace E\ninst✝⁴ : Module 𝕜 E\ninst✝³ : AddCommGroup F\ninst✝² : TopologicalSpace F\ninst✝¹ : Module 𝕜 F\nl : Filter α\nf : α → E\ng : α → F\ninst✝ : ContinuousNeg... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Asymptotics.TVS | {
"line": 557,
"column": 14
} | {
"line": 557,
"column": 25
} | [
{
"pp": "α : Type u_1\n𝕜 : Type u_3\nE : Type u_4\nF : Type u_5\ninst✝⁷ : NontriviallyNormedField 𝕜\ninst✝⁶ : AddCommGroup E\ninst✝⁵ : TopologicalSpace E\ninst✝⁴ : Module 𝕜 E\ninst✝³ : AddCommGroup F\ninst✝² : TopologicalSpace F\ninst✝¹ : Module 𝕜 F\nl : Filter α\nf : α → E\ng : α → F\ninst✝ : ContinuousNeg... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Asymptotics.TVS | {
"line": 566,
"column": 2
} | {
"line": 566,
"column": 13
} | [
{
"pp": "α : Type u_1\n𝕜 : Type u_3\nE : Type u_4\nF : Type u_5\ninst✝⁷ : NontriviallyNormedField 𝕜\ninst✝⁶ : AddCommGroup E\ninst✝⁵ : TopologicalSpace E\ninst✝⁴ : Module 𝕜 E\ninst✝³ : AddCommGroup F\ninst✝² : TopologicalSpace F\ninst✝¹ : Module 𝕜 F\nl : Filter α\ng : α → F\ninst✝ : ContinuousNeg E\nf₁ f₂ :... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Asymptotics.TVS | {
"line": 579,
"column": 2
} | {
"line": 579,
"column": 13
} | [
{
"pp": "α : Type u_1\n𝕜 : Type u_3\nE : Type u_4\nF : Type u_5\ninst✝⁷ : NontriviallyNormedField 𝕜\ninst✝⁶ : AddCommGroup E\ninst✝⁵ : TopologicalSpace E\ninst✝⁴ : Module 𝕜 E\ninst✝³ : AddCommGroup F\ninst✝² : TopologicalSpace F\ninst✝¹ : Module 𝕜 F\nl : Filter α\ng : α → F\ninst✝ : ContinuousNeg E\nf₁ f₂ :... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Asymptotics.TVS | {
"line": 596,
"column": 16
} | {
"line": 596,
"column": 27
} | [
{
"pp": "α : Type u_1\n𝕜 : Type u_3\nE : Type u_4\nF : Type u_5\ninst✝⁷ : NontriviallyNormedField 𝕜\ninst✝⁶ : AddCommGroup E\ninst✝⁵ : TopologicalSpace E\ninst✝⁴ : Module 𝕜 E\ninst✝³ : AddCommGroup F\ninst✝² : TopologicalSpace F\ninst✝¹ : Module 𝕜 F\nl : Filter α\nf : α → E\ng : α → F\ninst✝ : ContinuousNeg... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Asymptotics.TVS | {
"line": 600,
"column": 14
} | {
"line": 600,
"column": 25
} | [
{
"pp": "α : Type u_1\n𝕜 : Type u_3\nE : Type u_4\nF : Type u_5\ninst✝⁷ : NontriviallyNormedField 𝕜\ninst✝⁶ : AddCommGroup E\ninst✝⁵ : TopologicalSpace E\ninst✝⁴ : Module 𝕜 E\ninst✝³ : AddCommGroup F\ninst✝² : TopologicalSpace F\ninst✝¹ : Module 𝕜 F\nl : Filter α\nf : α → E\ng : α → F\ninst✝ : ContinuousNeg... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Asymptotics.TVS | {
"line": 611,
"column": 14
} | {
"line": 611,
"column": 25
} | [
{
"pp": "α : Type u_1\n𝕜 : Type u_3\nE : Type u_4\nF : Type u_5\ninst✝⁷ : NontriviallyNormedField 𝕜\ninst✝⁶ : AddCommGroup E\ninst✝⁵ : TopologicalSpace E\ninst✝⁴ : Module 𝕜 E\ninst✝³ : AddCommGroup F\ninst✝² : TopologicalSpace F\ninst✝¹ : Module 𝕜 F\nl : Filter α\nf : α → E\ng : α → F\ninst✝ : ContinuousNeg... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Asymptotics.TVS | {
"line": 652,
"column": 2
} | {
"line": 652,
"column": 55
} | [
{
"pp": "case right\nα : Type u_1\n𝕜 : Type u_3\nF : Type u_5\ninst✝⁷ : NontriviallyNormedField 𝕜\ninst✝⁶ : AddCommGroup F\ninst✝⁵ : TopologicalSpace F\ninst✝⁴ : Module 𝕜 F\nl : Filter α\ng : α → F\nι : Type u_7\nE : ι → Type u_8\ninst✝³ : (i : ι) → AddCommGroup (E i)\ninst✝² : (i : ι) → Module 𝕜 (E i)\nins... | refine (hIf.eventually_all.mpr hV).mono fun x hx ↦ ?_ | Lean.Elab.Tactic.evalRefine | Lean.Parser.Tactic.refine |
Mathlib.Analysis.Asymptotics.TVS | {
"line": 694,
"column": 8
} | {
"line": 694,
"column": 19
} | [
{
"pp": "case bc\nα : Type u_1\n𝕜 : Type u_3\nE : Type u_4\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : AddCommGroup E\ninst✝² : TopologicalSpace E\ninst✝¹ : Module 𝕜 E\nl : Filter α\nf : α → E\ninst✝ : ContinuousSMul 𝕜 E\nhf :\n ∀ i ∈ 𝓝 0, ∃ j, 0 < j ∧ ∀ (ε : ℝ≥0), ε ≠ 0 → ∀ᶠ (x : α) in l, egauge 𝕜 (id... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Asymptotics.TVS | {
"line": 700,
"column": 30
} | {
"line": 700,
"column": 41
} | [
{
"pp": "α : Type u_1\n𝕜 : Type u_3\nE : Type u_4\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : AddCommGroup E\ninst✝² : TopologicalSpace E\ninst✝¹ : Module 𝕜 E\nl : Filter α\nf : α → E\ninst✝ : ContinuousSMul 𝕜 E\nhf : Tendsto f l (𝓝 0)\nU : Set E\nhU : U ∈ 𝓝 0\nε : ℝ≥0\nhε : ε ≠ 0\nc : 𝕜\nhc₀ : 0 < ‖c‖... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Asymptotics.TVS | {
"line": 707,
"column": 8
} | {
"line": 707,
"column": 19
} | [
{
"pp": "case h\nα : Type u_1\n𝕜 : Type u_3\nE : Type u_4\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : AddCommGroup E\ninst✝² : TopologicalSpace E\ninst✝¹ : Module 𝕜 E\nl : Filter α\nf : α → E\ninst✝ : ContinuousSMul 𝕜 E\nhf : Tendsto f l (𝓝 0)\nU : Set E\nhU : U ∈ 𝓝 0\nε : ℝ≥0\nhε : ε ≠ 0\nc : 𝕜\nhcε :... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Asymptotics.TVS | {
"line": 703,
"column": 6
} | {
"line": 707,
"column": 48
} | [] | egauge 𝕜 U (f a) ≤ ‖c‖₊ := egauge_le_of_mem_smul ha
_ ≤ ε := mod_cast hcε.le
_ ≤ ε * egauge 𝕜 (ball (0 : 𝕜) 1) 1 := by
apply le_mul_of_one_le_right'
simpa using le_egauge_ball_one 𝕜 (1 : 𝕜) | Lean.Elab.Tactic._aux_Mathlib_Tactic_Widget_Calc___elabRules_Lean_calcTactic_1 | Lean.calcSteps |
Mathlib.Analysis.Asymptotics.TVS | {
"line": 729,
"column": 4
} | {
"line": 729,
"column": 32
} | [
{
"pp": "α : Type u_1\n𝕜 : Type u_3\nE : Type u_4\ninst✝⁵ : NontriviallyNormedField 𝕜\ninst✝⁴ : AddCommGroup E\ninst✝³ : TopologicalSpace E\ninst✝² : Module 𝕜 E\nl : Filter α\nf : α → E\ninst✝¹ : ContinuousAdd E\ninst✝ : ContinuousSMul 𝕜 E\nx : E\nh : Tendsto f l (𝓝 x)\n⊢ Tendsto (fun x_1 ↦ f x_1 - x) l (�... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Asymptotics.TVS | {
"line": 737,
"column": 4
} | {
"line": 737,
"column": 15
} | [
{
"pp": "case h\nα : Type u_1\n𝕜 : Type u_3\nE : Type u_4\ninst✝⁵ : NontriviallyNormedField 𝕜\ninst✝⁴ : AddCommGroup E\ninst✝³ : TopologicalSpace E\ninst✝² : Module 𝕜 E\nl : Filter α\nf : α → E\ninst✝¹ : ContinuousAdd E\ninst✝ : ContinuousSMul 𝕜 E\nx : E\nh : Tendsto (fun x_1 ↦ f x_1 - x) l (𝓝 0)\nU : Set ... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Asymptotics.TVS | {
"line": 742,
"column": 6
} | {
"line": 742,
"column": 17
} | [
{
"pp": "α : Type u_1\n𝕜 : Type u_3\nE : Type u_4\ninst✝⁵ : NontriviallyNormedField 𝕜\ninst✝⁴ : AddCommGroup E\ninst✝³ : TopologicalSpace E\ninst✝² : Module 𝕜 E\nl : Filter α\nf : α → E\ninst✝¹ : ContinuousAdd E\ninst✝ : ContinuousSMul 𝕜 E\nx : E\nh : Tendsto (fun x_1 ↦ f x_1 - x) l (𝓝 0)\nU : Set E\nhU₀ :... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Asymptotics.TVS | {
"line": 748,
"column": 42
} | {
"line": 748,
"column": 53
} | [
{
"pp": "α : Type u_1\n𝕜 : Type u_3\nE : Type u_4\ninst✝⁵ : NontriviallyNormedField 𝕜\ninst✝⁴ : AddCommGroup E\ninst✝³ : TopologicalSpace E\ninst✝² : Module 𝕜 E\nl : Filter α\nf : α → E\ninst✝¹ : ContinuousAdd E\ninst✝ : ContinuousSMul 𝕜 E\nx : E\nh : Tendsto (fun x_1 ↦ f x_1 - x) l (𝓝 0)\nU : Set E\nhU₀ :... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.ChangeOrigin | {
"line": 187,
"column": 2
} | {
"line": 187,
"column": 61
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\np : FormalMultilinearSeries 𝕜 E F\nr : ℝ≥0\nhr : ↑r < p.radius\nk : ℕ\nr' : ℝ≥0\nh0 : 0 < r'\nhr' : ↑r + ↑r... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.ChangeOrigin | {
"line": 224,
"column": 2
} | {
"line": 224,
"column": 44
} | [
{
"pp": "case h\n𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\np : FormalMultilinearSeries 𝕜 E F\nx : E\nr : ℝ≥0\n_h0 : 0 < r\nhr : ↑‖x‖₊ + ↑r < p.radius\nhr' : ↑... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.ChangeOrigin | {
"line": 327,
"column": 8
} | {
"line": 327,
"column": 31
} | [
{
"pp": "case h'y.a\n𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁵ : NontriviallyNormedField 𝕜\ninst✝⁴ : NormedAddCommGroup E\ninst✝³ : NormedSpace 𝕜 E\ninst✝² : NormedAddCommGroup F\ninst✝¹ : NormedSpace 𝕜 F\ninst✝ : CompleteSpace F\nf : E → F\np : FormalMultilinearSeries 𝕜 E F\ns : Set E\nx y : E\nr :... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.ChangeOrigin | {
"line": 347,
"column": 37
} | {
"line": 347,
"column": 69
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁵ : NontriviallyNormedField 𝕜\ninst✝⁴ : NormedAddCommGroup E\ninst✝³ : NormedSpace 𝕜 E\ninst✝² : NormedAddCommGroup F\ninst✝¹ : NormedSpace 𝕜 F\ninst✝ : CompleteSpace F\nf : E → F\np : FormalMultilinearSeries 𝕜 E F\ns : Set E\nx y : E\nr : ℝ≥0∞\nhf : ... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.ChangeOrigin | {
"line": 348,
"column": 35
} | {
"line": 348,
"column": 46
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁵ : NontriviallyNormedField 𝕜\ninst✝⁴ : NormedAddCommGroup E\ninst✝³ : NormedSpace 𝕜 E\ninst✝² : NormedAddCommGroup F\ninst✝¹ : NormedSpace 𝕜 F\ninst✝ : CompleteSpace F\nf : E → F\np : FormalMultilinearSeries 𝕜 E F\ns : Set E\nx y : E\nr : ℝ≥0∞\nhf : ... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.ChangeOrigin | {
"line": 358,
"column": 39
} | {
"line": 358,
"column": 50
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁵ : NontriviallyNormedField 𝕜\ninst✝⁴ : NormedAddCommGroup E\ninst✝³ : NormedSpace 𝕜 E\ninst✝² : NormedAddCommGroup F\ninst✝¹ : NormedSpace 𝕜 F\ninst✝ : CompleteSpace F\nf : E → F\np : FormalMultilinearSeries 𝕜 E F\nx y : E\nr : ℝ≥0∞\nhf : HasFPowerSe... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.ConvergenceRadius | {
"line": 190,
"column": 4
} | {
"line": 190,
"column": 30
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\np : FormalMultilinearSeries 𝕜 E F\nr : ℝ≥0\nh₀ : 0 < ↑r\na✝ : ℝ\nha✝ : a✝ ∈ Ioo (-1) 1\nhp✝ : (fun n ↦ ‖p n... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.ConvergenceRadius | {
"line": 341,
"column": 29
} | {
"line": 341,
"column": 40
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\nG : Type u_4\ninst✝⁶ : NontriviallyNormedField 𝕜\ninst✝⁵ : NormedAddCommGroup E\ninst✝⁴ : NormedSpace 𝕜 E\ninst✝³ : NormedAddCommGroup F\ninst✝² : NormedSpace 𝕜 F\ninst✝¹ : NormedAddCommGroup G\ninst✝ : NormedSpace 𝕜 G\np : FormalMultilinearSeries 𝕜 F G\n... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.ConvergenceRadius | {
"line": 343,
"column": 31
} | {
"line": 343,
"column": 42
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\nG : Type u_4\ninst✝⁶ : NontriviallyNormedField 𝕜\ninst✝⁵ : NormedAddCommGroup E\ninst✝⁴ : NormedSpace 𝕜 E\ninst✝³ : NormedAddCommGroup F\ninst✝² : NormedSpace 𝕜 F\ninst✝¹ : NormedAddCommGroup G\ninst✝ : NormedSpace 𝕜 G\np : FormalMultilinearSeries 𝕜 F G\n... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.ConvergenceRadius | {
"line": 361,
"column": 4
} | {
"line": 362,
"column": 11
} | [
{
"pp": "case inr\n𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\nG : Type u_4\ninst✝⁶ : NontriviallyNormedField 𝕜\ninst✝⁵ : NormedAddCommGroup E\ninst✝⁴ : NormedSpace 𝕜 E\ninst✝³ : NormedAddCommGroup F\ninst✝² : NormedSpace 𝕜 F\ninst✝¹ : NormedAddCommGroup G\ninst✝ : NormedSpace 𝕜 G\np : FormalMultilinearSerie... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.ConvergenceRadius | {
"line": 372,
"column": 31
} | {
"line": 372,
"column": 61
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\nG : Type u_4\ninst✝⁷ : NontriviallyNormedField 𝕜\ninst✝⁶ : NormedAddCommGroup E\ninst✝⁵ : NormedSpace 𝕜 E\ninst✝⁴ : NormedAddCommGroup F\ninst✝³ : NormedSpace 𝕜 F\ninst✝² : NormedAddCommGroup G\ninst✝¹ : NormedSpace 𝕜 G\ninst✝ : Nontrivial F\np : FormalMul... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.ConvergenceRadius | {
"line": 453,
"column": 2
} | {
"line": 453,
"column": 30
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\nG : Type u_4\ninst✝⁶ : NontriviallyNormedField 𝕜\ninst✝⁵ : NormedAddCommGroup E\ninst✝⁴ : NormedSpace 𝕜 E\ninst✝³ : NormedAddCommGroup F\ninst✝² : NormedSpace 𝕜 F\ninst✝¹ : NormedAddCommGroup G\ninst✝ : NormedSpace 𝕜 G\np : FormalMultilinearSeries 𝕜 E F\n... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.CPolynomialDef | {
"line": 457,
"column": 37
} | {
"line": 457,
"column": 69
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : E → F\np : FormalMultilinearSeries 𝕜 E F\nr : ℝ≥0∞\nn : ℕ\nx y : E\nhf : HasFiniteFPowerSeriesOnBall f ... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.OfScalars | {
"line": 70,
"column": 2
} | {
"line": 70,
"column": 25
} | [
{
"pp": "case h\n𝕜 : Type u_1\nE : Type u_2\ninst✝⁵ : Field 𝕜\ninst✝⁴ : Ring E\ninst✝³ : Algebra 𝕜 E\ninst✝² : TopologicalSpace E\ninst✝¹ : IsTopologicalRing E\ninst✝ : Nontrivial E\na₁✝ a₂✝ : ℕ → 𝕜\nh : ofScalars E a₁✝ = ofScalars E a₂✝\nn : ℕ\n⊢ a₁✝ n = a₂✝ n",
"usedConstants": []
}
] | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Normed.Module.Multilinear.Curry | {
"line": 84,
"column": 2
} | {
"line": 84,
"column": 48
} | [
{
"pp": "𝕜 : Type u\nn : ℕ\nEi : Fin n.succ → Type wEi\nG : Type wG\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : (i : Fin n.succ) → NormedAddCommGroup (Ei i)\ninst✝² : (i : Fin n.succ) → NormedSpace 𝕜 (Ei i)\ninst✝¹ : NormedAddCommGroup G\ninst✝ : NormedSpace 𝕜 G\nf : ContinuousMultilinearMap 𝕜 Ei G\ni : ... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Normed.Module.Multilinear.Curry | {
"line": 88,
"column": 2
} | {
"line": 88,
"column": 41
} | [
{
"pp": "𝕜 : Type u\nn : ℕ\nEi : Fin n.succ → Type wEi\nG : Type wG\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : (i : Fin n.succ) → NormedAddCommGroup (Ei i)\ninst✝² : (i : Fin n.succ) → NormedSpace 𝕜 (Ei i)\ninst✝¹ : NormedAddCommGroup G\ninst✝ : NormedSpace 𝕜 G\nf : ContinuousMultilinearMap 𝕜 Ei G\nx : ... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Normed.Module.Multilinear.Curry | {
"line": 93,
"column": 2
} | {
"line": 93,
"column": 45
} | [
{
"pp": "𝕜 : Type u\nn : ℕ\nEi : Fin n.succ → Type wEi\nG : Type wG\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : (i : Fin n.succ) → NormedAddCommGroup (Ei i)\ninst✝² : (i : Fin n.succ) → NormedSpace 𝕜 (Ei i)\ninst✝¹ : NormedAddCommGroup G\ninst✝ : NormedSpace 𝕜 G\nf : ContinuousMultilinearMap 𝕜 Ei G\nm : ... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Normed.Module.Multilinear.Curry | {
"line": 452,
"column": 25
} | {
"line": 452,
"column": 36
} | [
{
"pp": "𝕜 : Type u\nG : Type wG\nG' : Type wG'\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup G\ninst✝² : NormedSpace 𝕜 G\ninst✝¹ : NormedAddCommGroup G'\ninst✝ : NormedSpace 𝕜 G'\nf : ContinuousMultilinearMap 𝕜 (fun i ↦ G) G'\n⊢ ‖f 0‖ ≤ ‖f‖",
"usedConstants": [
"Norm.norm",
... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Normed.Module.Multilinear.Curry | {
"line": 456,
"column": 2
} | {
"line": 456,
"column": 34
} | [
{
"pp": "𝕜 : Type u\nG : Type wG\nG' : Type wG'\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup G\ninst✝² : NormedSpace 𝕜 G\ninst✝¹ : NormedAddCommGroup G'\ninst✝ : NormedSpace 𝕜 G'\nf : ContinuousMultilinearMap 𝕜 (fun i ↦ G) G'\nthis : ‖uncurry0 𝕜 G f.curry0‖ ≤ ‖f.curry0‖\n⊢ ‖f‖ ≤ ‖f 0‖"... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Normed.Module.Multilinear.Curry | {
"line": 553,
"column": 19
} | {
"line": 553,
"column": 65
} | [
{
"pp": "𝕜 : Type u\nι : Type v\nι' : Type v'\nn : ℕ\nE : ι → Type wE\nEi : Fin n.succ → Type wEi\nG : Type wG\nG' : Type wG'\ninst✝¹⁰ : Fintype ι\ninst✝⁹ : Fintype ι'\ninst✝⁸ : NontriviallyNormedField 𝕜\ninst✝⁷ : (i : ι) → NormedAddCommGroup (E i)\ninst✝⁶ : (i : ι) → NormedSpace 𝕜 (E i)\ninst✝⁵ : (i : Fin n... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Normed.Module.Multilinear.Curry | {
"line": 568,
"column": 4
} | {
"line": 568,
"column": 50
} | [
{
"pp": "𝕜 : Type u\nι : Type v\nι' : Type v'\nn : ℕ\nE : ι → Type wE\nEi : Fin n.succ → Type wEi\nG : Type wG\nG' : Type wG'\ninst✝¹⁰ : Fintype ι\ninst✝⁹ : Fintype ι'\ninst✝⁸ : NontriviallyNormedField 𝕜\ninst✝⁷ : (i : ι) → NormedAddCommGroup (E i)\ninst✝⁶ : (i : ι) → NormedSpace 𝕜 (E i)\ninst✝⁵ : (i : Fin n... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.OfScalars | {
"line": 283,
"column": 6
} | {
"line": 285,
"column": 11
} | [
{
"pp": "case h\n𝕜 : Type u_1\nE : Type u_2\ninst✝³ : NontriviallyNormedField 𝕜\ninst✝² : NormedRing E\ninst✝¹ : NormedAlgebra 𝕜 E\nc : ℕ → 𝕜\ninst✝ : NormOneClass E\nhc✝ : Tendsto (fun n ↦ ‖c n.succ‖ / ‖c n‖) atTop atTop\nr : ℝ≥0\nhr : ↑r < (ofScalars E c).radius\nthis : 0 < r\nn : ℕ\nhc : 2 * ↑r⁻¹ ≤ ‖c n.... | convert! hc
rw [pow_succ, div_mul_cancel_left₀, NNReal.coe_inv]
aesop | Lean.Elab.Tactic.evalTacticSeq1Indented | Lean.Parser.Tactic.tacticSeq1Indented |
Mathlib.Analysis.Analytic.OfScalars | {
"line": 283,
"column": 6
} | {
"line": 285,
"column": 11
} | [
{
"pp": "case h\n𝕜 : Type u_1\nE : Type u_2\ninst✝³ : NontriviallyNormedField 𝕜\ninst✝² : NormedRing E\ninst✝¹ : NormedAlgebra 𝕜 E\nc : ℕ → 𝕜\ninst✝ : NormOneClass E\nhc✝ : Tendsto (fun n ↦ ‖c n.succ‖ / ‖c n‖) atTop atTop\nr : ℝ≥0\nhr : ↑r < (ofScalars E c).radius\nthis : 0 < r\nn : ℕ\nhc : 2 * ↑r⁻¹ ≤ ‖c n.... | convert! hc
rw [pow_succ, div_mul_cancel_left₀, NNReal.coe_inv]
aesop | Lean.Elab.Tactic.evalTacticSeq | Lean.Parser.Tactic.tacticSeq |
Mathlib.Analysis.Analytic.Basic | {
"line": 212,
"column": 40
} | {
"line": 212,
"column": 72
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : E → F\np : FormalMultilinearSeries 𝕜 E F\ns : Set E\nx : E\nr : ℝ≥0∞\nhf : HasFPowerSeriesWithinOnBall ... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.Basic | {
"line": 213,
"column": 2
} | {
"line": 213,
"column": 35
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : E → F\np : FormalMultilinearSeries 𝕜 E F\ns : Set E\nx : E\nr : ℝ≥0∞\nhf : HasFPowerSeriesWithinOnBall ... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.Basic | {
"line": 213,
"column": 50
} | {
"line": 213,
"column": 83
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : E → F\np : FormalMultilinearSeries 𝕜 E F\ns : Set E\nx : E\nr : ℝ≥0∞\nhf : HasFPowerSeriesWithinOnBall ... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.Basic | {
"line": 217,
"column": 40
} | {
"line": 217,
"column": 72
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : E → F\np : FormalMultilinearSeries 𝕜 E F\nx : E\nr : ℝ≥0∞\nhf : HasFPowerSeriesOnBall f p x r\ny : E\nh... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.Basic | {
"line": 218,
"column": 2
} | {
"line": 218,
"column": 35
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : E → F\np : FormalMultilinearSeries 𝕜 E F\nx : E\nr : ℝ≥0∞\nhf : HasFPowerSeriesOnBall f p x r\ny : E\nh... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.Basic | {
"line": 249,
"column": 4
} | {
"line": 249,
"column": 15
} | [
{
"pp": "case h.e'_6.inl\n𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf g : E → F\np : FormalMultilinearSeries 𝕜 E F\ns : Set E\nx : E\nr : ℝ≥0∞\nh : HasFPowerS... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.Basic | {
"line": 252,
"column": 4
} | {
"line": 252,
"column": 36
} | [
{
"pp": "case h.e'_6.inr.a\n𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf g : E → F\np : FormalMultilinearSeries 𝕜 E F\ns : Set E\nx : E\nr : ℝ≥0∞\nh : HasFPowe... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.Basic | {
"line": 262,
"column": 19
} | {
"line": 262,
"column": 51
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf g : E → F\np : FormalMultilinearSeries 𝕜 E F\ns : Set E\nx : E\nr : ℝ≥0∞\nh : HasFPowerSeriesWithinOnBall... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.Basic | {
"line": 284,
"column": 6
} | {
"line": 284,
"column": 38
} | [
{
"pp": "case h.e'_6.a\n𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf g : E → F\np : FormalMultilinearSeries 𝕜 E F\nx : E\nr : ℝ≥0∞\nhf : HasFPowerSeriesOnBall ... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.Basic | {
"line": 401,
"column": 39
} | {
"line": 401,
"column": 69
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : E → F\np : FormalMultilinearSeries 𝕜 E F\ns : Set E\nx : E\nr : ℝ≥0∞\nh : HasFPowerSeriesWithinOnBall f... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.Basic | {
"line": 401,
"column": 39
} | {
"line": 401,
"column": 69
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : E → F\np : FormalMultilinearSeries 𝕜 E F\ns : Set E\nx : E\nr : ℝ≥0∞\nh : HasFPowerSeriesWithinOnBall f... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.Basic | {
"line": 421,
"column": 2
} | {
"line": 421,
"column": 20
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : E → F\npf : FormalMultilinearSeries 𝕜 E F\ns : Set E\nx : E\nr : ℝ≥0∞\nhf : HasFPowerSeriesWithinOnBall... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.Basic | {
"line": 552,
"column": 4
} | {
"line": 553,
"column": 86
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\nG : Type u_4\ninst✝⁶ : NontriviallyNormedField 𝕜\ninst✝⁵ : NormedAddCommGroup E\ninst✝⁴ : NormedSpace 𝕜 E\ninst✝³ : NormedAddCommGroup F\ninst✝² : NormedSpace 𝕜 F\ninst✝¹ : NormedAddCommGroup G\ninst✝ : NormedSpace 𝕜 G\nf : E → F\np : FormalMultilinearSeri... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.Basic | {
"line": 614,
"column": 28
} | {
"line": 614,
"column": 39
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : E → F\np : FormalMultilinearSeries 𝕜 E F\ns : Set E\nx : E\nr : ℝ≥0∞\ny : E\nhf : HasFPowerSeriesWithin... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.Basic | {
"line": 618,
"column": 4
} | {
"line": 618,
"column": 15
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : E → F\np : FormalMultilinearSeries 𝕜 E F\ns : Set E\nx : E\nr : ℝ≥0∞\ny : E\nhf : HasFPowerSeriesWithin... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.Basic | {
"line": 619,
"column": 30
} | {
"line": 619,
"column": 56
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : E → F\np : FormalMultilinearSeries 𝕜 E F\ns : Set E\nx : E\nr : ℝ≥0∞\ny : E\nhf : HasFPowerSeriesWithin... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.Basic | {
"line": 631,
"column": 69
} | {
"line": 631,
"column": 80
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : E → F\np : FormalMultilinearSeries 𝕜 E F\ns : Set E\nx : E\nr : ℝ≥0∞\ny : E\nhf : HasFPowerSeriesWithin... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.Basic | {
"line": 632,
"column": 45
} | {
"line": 632,
"column": 71
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : E → F\np : FormalMultilinearSeries 𝕜 E F\ns : Set E\nx : E\nr : ℝ≥0∞\ny : E\nhf : HasFPowerSeriesWithin... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.Composition | {
"line": 306,
"column": 10
} | {
"line": 306,
"column": 39
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\nG : Type u_4\ninst✝⁶ : NontriviallyNormedField 𝕜\ninst✝⁵ : NormedAddCommGroup E\ninst✝⁴ : NormedSpace 𝕜 E\ninst✝³ : NormedAddCommGroup F\ninst✝² : NormedSpace 𝕜 F\ninst✝¹ : NormedAddCommGroup G\ninst✝ : NormedSpace 𝕜 G\nn : ℕ\np : FormalMultilinearSeries �... | ← c.blocksFinEquiv.prod_comp, | Lean.Elab.Tactic.evalRewriteSeq | null |
Mathlib.Analysis.Analytic.Basic | {
"line": 647,
"column": 27
} | {
"line": 647,
"column": 53
} | [
{
"pp": "case h.hbc.hab\n𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : E → F\np : FormalMultilinearSeries 𝕜 E F\ns : Set E\nx : E\nr : ℝ≥0∞\ny : E\nhf : HasFP... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.Composition | {
"line": 419,
"column": 34
} | {
"line": 419,
"column": 80
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\np : FormalMultilinearSeries 𝕜 E F\nv0 : Fin 0 → E\nn : ℕ\nn_pos : n > 0\nb : Composition n\na✝ : b ∈ Finset... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.Basic | {
"line": 696,
"column": 4
} | {
"line": 696,
"column": 23
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : E → F\np : FormalMultilinearSeries 𝕜 E F\ns : Set E\nx : E\nr : ℝ≥0∞\nr' : ℝ≥0\nhf : HasFPowerSeriesWit... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.Composition | {
"line": 635,
"column": 4
} | {
"line": 635,
"column": 38
} | [
{
"pp": "case i_surj\nα : Type u_6\ninst✝ : AddCommMonoid α\nm M N : ℕ\nf : (n : ℕ) × (Fin n → ℕ) → α\ng : (n : ℕ) × Composition n → α\nh : ∀ (e : (n : ℕ) × (Fin n → ℕ)) (he : e ∈ compPartialSumSource m M N), f e = g (compChangeOfVariables m M N e he)\ni : (n : ℕ) × Composition n\nhi : i ∈ compPartialSumTarget ... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.Composition | {
"line": 677,
"column": 4
} | {
"line": 677,
"column": 98
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\nG : Type u_4\ninst✝⁶ : NontriviallyNormedField 𝕜\ninst✝⁵ : NormedAddCommGroup E\ninst✝⁴ : NormedSpace 𝕜 E\ninst✝³ : NormedAddCommGroup F\ninst✝² : NormedSpace 𝕜 F\ninst✝¹ : NormedAddCommGroup G\ninst✝ : NormedSpace 𝕜 G\nq : FormalMultilinearSeries 𝕜 F G\n... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
Mathlib.Analysis.Analytic.Basic | {
"line": 707,
"column": 2
} | {
"line": 712,
"column": 62
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : E → F\np : FormalMultilinearSeries 𝕜 E F\ns : Set E\nx : E\nr : ℝ≥0∞\nr' : ℝ≥0\nhf : HasFPowerSeriesWit... | calc
‖(p n) fun _ : Fin n => y‖
_ ≤ ‖p n‖ * ∏ _i : Fin n, ‖y‖ := ContinuousMultilinearMap.le_opNorm _ _
_ = ‖p n‖ * (r' : ℝ) ^ n * (‖y‖ / r') ^ n := by simp [field, div_pow]
_ ≤ C * a ^ n * (‖y‖ / r') ^ n := by gcongr ?_ * _; apply hp
_ ≤ C * (a * (‖y‖ / r')) ^ n := by rw [mul_pow, mul_assoc] | Lean.Elab.Tactic._aux_Mathlib_Tactic_Widget_Calc___elabRules_Lean_calcTactic_1 | Lean.calcTactic |
Mathlib.Analysis.Analytic.Basic | {
"line": 724,
"column": 2
} | {
"line": 724,
"column": 13
} | [
{
"pp": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : E → F\np : FormalMultilinearSeries 𝕜 E F\nx : E\nr : ℝ≥0∞\nr' : ℝ≥0\nhf : HasFPowerSeriesWithinOnBall f... | simpa using | Lean.Elab.Tactic.Simpa.evalSimpa | null |
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