file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
values | url stringclasses 4
values | start list |
|---|---|---|---|---|---|---|
Mathlib/Data/Set/Function.lean | Set.mapsTo_inter | [] | [
495,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
491,
1
] |
Mathlib/Data/Complex/Basic.lean | Complex.conj_neg_I | [
{
"state_after": "no goals",
"state_before": "⊢ (↑(starRingEnd ℂ) (-I)).re = I.re ∧ (↑(starRingEnd ℂ) (-I)).im = I.im",
"tactic": "simp"
}
] | [
542,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
541,
1
] |
Mathlib/Data/Multiset/Sort.lean | Multiset.sort_sorted | [] | [
44,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
43,
1
] |
Mathlib/Logic/Equiv/Fintype.lean | Equiv.extendSubtype_mem | [
{
"state_after": "case h.e'_1\nα : Type u_1\nβ : Type ?u.153621\ninst✝³ : Fintype α\ninst✝² : DecidableEq β\ne✝ : Perm α\nf : α ↪ β\np q : α → Prop\ninst✝¹ : DecidablePred p\ninst✝ : DecidablePred q\ne : { x // p x } ≃ { x // q x }\nx : α\nhx : p x\n⊢ ↑(extendSubtype e) x = ↑(↑e { val := x, property := hx })",
... | [
130,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
127,
1
] |
Mathlib/Algebra/Hom/Ring.lean | NonUnitalRingHom.coe_comp | [] | [
258,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
257,
1
] |
Mathlib/Data/Polynomial/Degree/Definitions.lean | Polynomial.leadingCoeff_one | [] | [
837,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
836,
1
] |
Mathlib/Data/List/Zip.lean | List.zipWith_congr | [
{
"state_after": "case nil\nα : Type u\nβ : Type u_1\nγ : Type u_2\nδ : Type ?u.89176\nε : Type ?u.89179\nf g : α → β → γ\nla : List α\nlb : List β\n⊢ zipWith f [] [] = zipWith g [] []\n\ncase cons\nα : Type u\nβ : Type u_1\nγ : Type u_2\nδ : Type ?u.89176\nε : Type ?u.89179\nf g : α → β → γ\nla : List α\nlb : ... | [
282,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
278,
1
] |
Mathlib/Algebra/AddTorsor.lean | vsub_vadd_eq_vsub_sub | [
{
"state_after": "no goals",
"state_before": "G : Type u_1\nP : Type u_2\ninst✝ : AddGroup G\nT : AddTorsor G P\np1 p2 : P\ng : G\n⊢ p1 -ᵥ (g +ᵥ p2) = p1 -ᵥ p2 - g",
"tactic": "rw [← add_right_inj (p2 -ᵥ p1 : G), vsub_add_vsub_cancel, ← neg_vsub_eq_vsub_rev, vadd_vsub, ←\n add_sub_assoc, ← neg_vsub_eq_... | [
170,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
168,
1
] |
Mathlib/GroupTheory/Submonoid/Pointwise.lean | AddSubmonoid.one_eq_mrange | [] | [
501,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
500,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/Terminal.lean | CategoryTheory.Limits.hasTerminalChangeUniverse | [] | [
257,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
255,
1
] |
Mathlib/Data/Polynomial/Degree/TrailingDegree.lean | Polynomial.trailingDegree_eq_iff_natTrailingDegree_eq | [
{
"state_after": "R : Type u\nS : Type v\na b : R\nn✝ m : ℕ\ninst✝ : Semiring R\np✝ q r p : R[X]\nn : ℕ\nhp : p ≠ 0\n⊢ ↑(natTrailingDegree p) = ↑n ↔ natTrailingDegree p = n",
"state_before": "R : Type u\nS : Type v\na b : R\nn✝ m : ℕ\ninst✝ : Semiring R\np✝ q r p : R[X]\nn : ℕ\nhp : p ≠ 0\n⊢ trailingDegree ... | [
117,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
114,
1
] |
Mathlib/LinearAlgebra/Dimension.lean | cardinal_lift_le_rank_of_linearIndependent' | [] | [
261,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
259,
1
] |
Mathlib/Data/List/Basic.lean | List.getI_eq_default | [] | [
4480,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
4479,
1
] |
Mathlib/Logic/Relation.lean | Relation.reflTransGen_closed | [] | [
569,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
567,
1
] |
Mathlib/MeasureTheory/Constructions/BorelSpace/Basic.lean | Antitone.measurable | [] | [
1183,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1181,
11
] |
Mathlib/Analysis/NormedSpace/lpSpace.lean | lp.norm_eq_zero_iff | [
{
"state_after": "α : Type u_1\nE : α → Type u_2\np q : ℝ≥0∞\ninst✝ : (i : α) → NormedAddCommGroup (E i)\nf : { x // x ∈ lp E p }\nh : ‖f‖ = 0\n⊢ f = 0",
"state_before": "α : Type u_1\nE : α → Type u_2\np q : ℝ≥0∞\ninst✝ : (i : α) → NormedAddCommGroup (E i)\nf : { x // x ∈ lp E p }\n⊢ ‖f‖ = 0 ↔ f = 0",
... | [
477,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
456,
1
] |
Mathlib/Data/Num/Lemmas.lean | ZNum.zneg_pred | [
{
"state_after": "no goals",
"state_before": "α : Type ?u.658993\nn : ZNum\n⊢ -pred n = succ (-n)",
"tactic": "rw [← zneg_zneg (succ (-n)), zneg_succ, zneg_zneg]"
}
] | [
1093,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1092,
1
] |
Mathlib/RingTheory/Subring/Basic.lean | Subring.closure_eq | [] | [
1037,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1036,
1
] |
Std/Data/Nat/Gcd.lean | Nat.coprime_mul_iff_left | [
{
"state_after": "no goals",
"state_before": "m n k : Nat\nx✝ : coprime m k ∧ coprime n k\nh : coprime m k\nright✝ : coprime n k\n⊢ coprime (m * n) k",
"tactic": "rwa [coprime_iff_gcd_eq_one, h.gcd_mul_left_cancel n]"
}
] | [
335,
75
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
333,
1
] |
Mathlib/Topology/FiberBundle/IsHomeomorphicTrivialBundle.lean | isHomeomorphicTrivialFiberBundle_snd | [] | [
79,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
77,
1
] |
Mathlib/Topology/Algebra/Affine.lean | AffineMap.continuous_iff | [
{
"state_after": "case mp\nR : Type u_1\nE : Type u_2\nF : Type u_3\ninst✝⁷ : AddCommGroup E\ninst✝⁶ : TopologicalSpace E\ninst✝⁵ : AddCommGroup F\ninst✝⁴ : TopologicalSpace F\ninst✝³ : TopologicalAddGroup F\ninst✝² : Ring R\ninst✝¹ : Module R E\ninst✝ : Module R F\nf : E →ᵃ[R] F\n⊢ Continuous ↑f → Continuous ↑... | [
48,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
41,
1
] |
Mathlib/Analysis/Convex/Function.lean | neg_concaveOn_iff | [
{
"state_after": "no goals",
"state_before": "𝕜 : Type u_1\nE : Type u_2\nF : Type ?u.650858\nα : Type ?u.650861\nβ : Type u_3\nι : Type ?u.650867\ninst✝⁵ : OrderedSemiring 𝕜\ninst✝⁴ : AddCommMonoid E\ninst✝³ : AddCommMonoid F\ninst✝² : OrderedAddCommGroup β\ninst✝¹ : SMul 𝕜 E\ninst✝ : Module 𝕜 β\ns : S... | [
851,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
850,
1
] |
Mathlib/MeasureTheory/Covering/Differentiation.lean | VitaliFamily.ae_tendsto_measure_inter_div | [
{
"state_after": "α : Type u_1\ninst✝⁵ : MetricSpace α\nm0 : MeasurableSpace α\nμ : MeasureTheory.Measure α\nv : VitaliFamily μ\nE : Type ?u.6387832\ninst✝⁴ : NormedAddCommGroup E\ninst✝³ : SecondCountableTopology α\ninst✝² : BorelSpace α\ninst✝¹ : IsLocallyFiniteMeasure μ\nρ : MeasureTheory.Measure α\ninst✝ : ... | [
773,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
755,
1
] |
Mathlib/Topology/FiberBundle/Trivialization.lean | Trivialization.preimageSingletonHomeomorph_symm_apply | [
{
"state_after": "no goals",
"state_before": "ι : Type ?u.38955\nB : Type ?u.38958\nF : Type ?u.38961\nE : B → Type ?u.38966\nZ : Type ?u.38969\ninst✝³ : TopologicalSpace B\ninst✝² : TopologicalSpace F\nproj : Z → B\ninst✝¹ : TopologicalSpace Z\ninst✝ : TopologicalSpace (TotalSpace E)\ne : Trivialization F ... | [
512,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
509,
1
] |
Mathlib/Analysis/NormedSpace/lpSpace.lean | Memℓp.finite_dsupport | [] | [
153,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
152,
1
] |
Mathlib/Data/Polynomial/EraseLead.lean | Polynomial.eraseLead_C_mul_X_pow | [
{
"state_after": "no goals",
"state_before": "R : Type u_1\ninst✝ : Semiring R\nf : R[X]\nr : R\nn : ℕ\n⊢ eraseLead (↑C r * X ^ n) = 0",
"tactic": "rw [C_mul_X_pow_eq_monomial, eraseLead_monomial]"
}
] | [
157,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
156,
1
] |
Mathlib/Topology/Algebra/Module/Basic.lean | ContinuousLinearMap.restrictScalars_smul | [] | [
1717,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1715,
1
] |
Mathlib/Topology/Connected.lean | connectedComponents_preimage_image | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nι : Type ?u.143197\nπ : ι → Type ?u.143202\ninst✝² : TopologicalSpace α\ns t u v : Set α\ninst✝¹ : TopologicalSpace β\ninst✝ : TotallyDisconnectedSpace β\nf : α → β\nU : Set α\n⊢ ConnectedComponents.mk ⁻¹' (ConnectedComponents.mk '' U) = ... | [
1540,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1538,
1
] |
Mathlib/Analysis/Calculus/Deriv/Inv.lean | hasStrictDerivAt_inv | [
{
"state_after": "𝕜 : Type u\ninst✝⁴ : NontriviallyNormedField 𝕜\nF : Type v\ninst✝³ : NormedAddCommGroup F\ninst✝² : NormedSpace 𝕜 F\nE : Type w\ninst✝¹ : NormedAddCommGroup E\ninst✝ : NormedSpace 𝕜 E\nf f₀ f₁ g : 𝕜 → F\nf' f₀' f₁' g' : F\nx : 𝕜\ns t : Set 𝕜\nL : Filter 𝕜\nhx : x ≠ 0\n⊢ (fun p => (p.fs... | [
70,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
57,
1
] |
Mathlib/CategoryTheory/Sites/Plus.lean | CategoryTheory.GrothendieckTopology.toPlus_plusLift | [
{
"state_after": "C : Type u\ninst✝³ : Category C\nJ : GrothendieckTopology C\nD : Type w\ninst✝² : Category D\ninst✝¹ : ∀ (P : Cᵒᵖ ⥤ D) (X : C) (S : Cover J X), HasMultiequalizer (Cover.index S P)\nP✝ : Cᵒᵖ ⥤ D\ninst✝ : ∀ (X : C), HasColimitsOfShape (Cover J X)ᵒᵖ D\nP Q : Cᵒᵖ ⥤ D\nη : P ⟶ Q\nhQ : Presheaf.IsSh... | [
322,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
316,
1
] |
Mathlib/Order/Filter/Archimedean.lean | Filter.Tendsto.atTop_nsmul_const | [
{
"state_after": "α : Type u_2\nR : Type u_1\nl : Filter α\nf✝ : α → R\nr : R\ninst✝¹ : LinearOrderedCancelAddCommMonoid R\ninst✝ : Archimedean R\nf : α → ℕ\nhr : 0 < r\nhf : Tendsto f l atTop\ns : R\n⊢ ∀ᶠ (a : α) in l, s ≤ f a • r",
"state_before": "α : Type u_2\nR : Type u_1\nl : Filter α\nf✝ : α → R\nr :... | [
218,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
214,
1
] |
Mathlib/Order/Hom/Bounded.lean | BoundedOrderHom.cancel_right | [] | [
693,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
690,
1
] |
Mathlib/Analysis/SpecialFunctions/Exp.lean | Real.comap_exp_nhds_exp | [] | [
358,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
357,
1
] |
Mathlib/MeasureTheory/Covering/Besicovitch.lean | Besicovitch.SatelliteConfig.hlast' | [
{
"state_after": "case inl\nα : Type u_1\ninst✝ : MetricSpace α\nN : ℕ\nτ : ℝ\na : SatelliteConfig α N τ\ni : Fin (Nat.succ N)\nh : 1 ≤ τ\nH : i < last N\n⊢ r a (last N) ≤ τ * r a i\n\ncase inr\nα : Type u_1\ninst✝ : MetricSpace α\nN : ℕ\nτ : ℝ\na : SatelliteConfig α N τ\ni : Fin (Nat.succ N)\nh : 1 ≤ τ\nH : la... | [
186,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
181,
1
] |
Mathlib/Analysis/Calculus/MeanValue.lean | Convex.lipschitzOnWith_of_nnnorm_fderiv_le | [] | [
551,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
548,
1
] |
Mathlib/Algebra/Associated.lean | Associated.mul_left | [] | [
525,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
524,
1
] |
Mathlib/Data/Set/Intervals/Basic.lean | Set.dual_Iic | [] | [
236,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
235,
1
] |
Std/Data/Int/DivMod.lean | Int.dvd_iff_dvd_of_dvd_sub | [] | [
629,
54
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
627,
11
] |
Mathlib/Topology/Instances/ENNReal.lean | ENNReal.le_of_forall_lt_one_mul_le | [
{
"state_after": "α : Type ?u.113642\nβ : Type ?u.113645\nγ : Type ?u.113648\na b c d : ℝ≥0∞\nr p q : ℝ≥0\nx✝ y✝ z ε ε₁ ε₂ : ℝ≥0∞\ns : Set ℝ≥0∞\nx y : ℝ≥0∞\nh : ∀ (a : ℝ≥0∞), a < 1 → a * x ≤ y\nthis : Tendsto (fun x_1 => x_1 * x) (𝓝[Iio 1] 1) (𝓝 x)\n⊢ x ≤ y",
"state_before": "α : Type ?u.113642\nβ : Type ... | [
483,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
479,
1
] |
Mathlib/LinearAlgebra/PiTensorProduct.lean | PiTensorProduct.smul_tprodCoeff_aux | [] | [
170,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
168,
1
] |
Mathlib/Geometry/Euclidean/Sphere/Power.lean | EuclideanGeometry.mul_dist_eq_mul_dist_of_cospherical | [
{
"state_after": "case intro.intro\nV : Type u_2\ninst✝³ : NormedAddCommGroup V\ninst✝² : InnerProductSpace ℝ V\nP : Type u_1\ninst✝¹ : MetricSpace P\ninst✝ : NormedAddTorsor V P\na b c d p : P\nh : Cospherical {a, b, c, d}\nhapb : ∃ k₁, k₁ ≠ 1 ∧ b -ᵥ p = k₁ • (a -ᵥ p)\nhcpd : ∃ k₂, k₂ ≠ 1 ∧ d -ᵥ p = k₂ • (c -ᵥ... | [
112,
90
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
104,
1
] |
Mathlib/Data/Finset/Basic.lean | Finset.update_eq_piecewise | [] | [
2534,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2532,
1
] |
Mathlib/Data/Set/Pointwise/Interval.lean | Set.preimage_mul_const_Ioi_of_neg | [] | [
563,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
561,
1
] |
Mathlib/Analysis/Calculus/Conformal/InnerProduct.lean | conformalAt_iff | [
{
"state_after": "no goals",
"state_before": "E : Type u_1\nF : Type u_2\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedAddCommGroup F\ninst✝¹ : InnerProductSpace ℝ E\ninst✝ : InnerProductSpace ℝ F\nf : E → F\nx : E\nf' : E →L[ℝ] F\nh : HasFDerivAt f f' x\n⊢ ConformalAt f x ↔ ∃ c, 0 < c ∧ ∀ (u v : E), inner... | [
43,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
41,
1
] |
Mathlib/Algebra/Hom/Group.lean | MulHom.coe_coe | [] | [
335,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
335,
1
] |
Mathlib/Data/Nat/Digits.lean | Nat.ofDigits_lt_base_pow_length' | [
{
"state_after": "case nil\nn b : ℕ\nl : List ℕ\nhl✝ : ∀ (x : ℕ), x ∈ l → x < b + 2\nhl : ∀ (x : ℕ), x ∈ [] → x < b + 2\n⊢ ofDigits (b + 2) [] < (b + 2) ^ List.length []\n\ncase cons\nn b : ℕ\nl : List ℕ\nhl✝ : ∀ (x : ℕ), x ∈ l → x < b + 2\nhd : ℕ\ntl : List ℕ\nIH : (∀ (x : ℕ), x ∈ tl → x < b + 2) → ofDigits (b... | [
405,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
395,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/Biproducts.lean | CategoryTheory.Limits.biprod.conePointUniqueUpToIso_hom | [] | [
1548,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1545,
1
] |
Mathlib/Combinatorics/SimpleGraph/Partition.lean | SimpleGraph.Partition.to_colorable | [] | [
122,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
121,
1
] |
Mathlib/Topology/Algebra/InfiniteSum/Real.lean | dist_le_tsum_of_dist_le_of_tendsto | [
{
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Mathlib/Order/Filter/Basic.lean | Filter.map_principal | [] | [
1813,
44
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Mathlib/Topology/Algebra/Monoid.lean | Filter.tendsto_cocompact_mul_right | [
{
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643,
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639,
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Mathlib/AlgebraicTopology/AlternatingFaceMapComplex.lean | AlgebraicTopology.karoubi_alternatingFaceMapComplex_d | [
{
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223,
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217,
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Mathlib/Analysis/InnerProductSpace/Basic.lean | LinearEquiv.isometryOfOrthonormal_toLinearEquiv | [] | [
1384,
6
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Mathlib/LinearAlgebra/Matrix/Determinant.lean | Matrix.det_succ_column | [
{
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781,
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776,
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Mathlib/Data/Int/ModEq.lean | Int.coe_nat_modEq_iff | [
{
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{
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Mathlib/Analysis/Normed/Order/Lattice.lean | LatticeOrderedAddCommGroup.isSolid_ball | [] | [
64,
86
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Mathlib/LinearAlgebra/FiniteDimensional.lean | LinearEquiv.finiteDimensional | [] | [
817,
24
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Mathlib/MeasureTheory/Measure/Sub.lean | MeasureTheory.Measure.sub_def | [] | [
42,
56
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Mathlib/Algebra/Module/Equiv.lean | LinearEquiv.ext | [] | [
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20
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Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean | MeasureTheory.union_ae_eq_right | [
{
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471,
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Mathlib/AlgebraicGeometry/PrimeSpectrum/Basic.lean | PrimeSpectrum.isIrreducible_zeroLocus_iff | [] | [
555,
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Mathlib/MeasureTheory/Function/SimpleFuncDense.lean | MeasureTheory.SimpleFunc.tendsto_nearestPt | [
{
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Mathlib/Data/List/Count.lean | List.filter_beq' | [
{
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285,
34
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283,
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Mathlib/SetTheory/Game/PGame.lean | PGame.le_or_gf | [
{
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{
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464,
11
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Mathlib/LinearAlgebra/Alternating.lean | MultilinearMap.domCoprod_alternization | [
{
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Mathlib/Analysis/Calculus/ContDiffDef.lean | hasFTaylorSeriesUpToOn_zero_iff | [
{
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236,
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228,
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Mathlib/CategoryTheory/Limits/Constructions/EpiMono.lean | CategoryTheory.preserves_mono_of_preservesLimit | [
{
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Mathlib/Order/OmegaCompletePartialOrder.lean | OmegaCompletePartialOrder.id_continuous' | [] | [
293,
30
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Mathlib/Order/JordanHolder.lean | CompositionSeries.append_succ_castAdd | [
{
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529,
51
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527,
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Mathlib/Topology/Algebra/Order/LiminfLimsup.lean | iInf_eq_of_forall_le_of_tendsto | [
{
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425,
100
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
422,
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Mathlib/LinearAlgebra/Quotient.lean | Submodule.quotEquivOfEq_mk | [] | [
656,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
653,
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Mathlib/Tactic/IntervalCases.lean | Mathlib.Tactic.IntervalCases.of_not_lt_left | [] | [
132,
98
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
132,
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Mathlib/LinearAlgebra/AffineSpace/Independent.lean | Affine.Simplex.mkOfPoint_points | [] | [
804,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
803,
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] |
Mathlib/RingTheory/Ideal/QuotientOperations.lean | DoubleQuot.coe_quotQuotEquivCommₐ | [] | [
796,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Algebra/DirectLimit.lean | Field.DirectLimit.mul_inv_cancel | [
{
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732,
78
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Mathlib/Logic/Encodable/Basic.lean | Directed.le_sequence | [] | [
668,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
667,
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Mathlib/Data/Fin/VecNotation.lean | Matrix.cons_val_one | [
{
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207,
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205,
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Mathlib/RingTheory/PrincipalIdealDomain.lean | PrincipalIdealRing.ne_zero_of_mem_factors | [] | [
291,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
289,
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Mathlib/Algebra/Homology/Homotopy.lean | Homotopy.prevD_zero_cochainComplex | [
{
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/CategoryTheory/Limits/Preserves/Shapes/Pullbacks.lean | CategoryTheory.Limits.PreservesPushout.iso_hom | [] | [
312,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
311,
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Mathlib/Analysis/SpecialFunctions/Complex/Arg.lean | Complex.arg_nonneg_iff | [
{
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},
{
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77
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Mathlib/Data/Matrix/Basic.lean | Matrix.mul_assoc | [
{
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Mathlib/FieldTheory/IntermediateField.lean | IntermediateField.prod_mem | [] | [
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13
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Mathlib/Topology/Separation.lean | t1Space_iff_disjoint_nhds_pure | [] | [
516,
27
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515,
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Mathlib/GroupTheory/Subgroup/Basic.lean | MonoidHom.ker_toHomUnits | [
{
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2780,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2778,
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Mathlib/Topology/Order.lean | tendsto_nhds_true | [
{
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"tactic": "simp"
}
] | [
916,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
915,
1
] |
Mathlib/Data/IsROrC/Basic.lean | IsROrC.inv_im | [
{
"state_after": "no goals",
"state_before": "K : Type u_1\nE : Type ?u.5463776\ninst✝ : IsROrC K\nz : K\n⊢ ↑im z⁻¹ = -↑im z / ↑normSq z",
"tactic": "rw [inv_def, normSq_eq_def', mul_comm, ofReal_mul_im, conj_im, div_eq_inv_mul]"
}
] | [
561,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
560,
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Mathlib/Data/Polynomial/Eval.lean | Polynomial.map_prod | [] | [
1196,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1194,
11
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Std/Data/String/Lemmas.lean | String.Iterator.ValidFor.prev_nil | [
{
"state_after": "r : List Char\nit : Iterator\nh : ValidFor [] r it\n⊢ ValidFor [] r { s := { data := r }, i := 0 }",
"state_before": "r : List Char\nit : Iterator\nh : ValidFor [] r it\n⊢ ValidFor [] r (Iterator.prev it)",
"tactic": "simp [Iterator.prev, h.toString, h.pos]"
},
{
"state_after":... | [
562,
69
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
561,
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] |
Mathlib/CategoryTheory/Limits/Shapes/Types.lean | CategoryTheory.Limits.Types.coequalizerIso_π_comp_hom | [] | [
514,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
512,
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Mathlib/Topology/Sets/Opens.lean | TopologicalSpace.Opens.coe_top | [] | [
197,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
196,
1
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Mathlib/Data/Dfinsupp/WellFounded.lean | Pi.Lex.wellFounded | [
{
"state_after": "case inl\nι : Type u_1\nα : ι → Type u_2\nr : ι → ι → Prop\ns : (i : ι) → α i → α i → Prop\ninst✝¹ : IsStrictTotalOrder ι r\ninst✝ : Finite ι\nhs : ∀ (i : ι), WellFounded (s i)\nh : IsEmpty ((i : ι) → α i)\n⊢ WellFounded (Pi.Lex r fun {i} => s i)\n\ncase inr.intro\nι : Type u_1\nα : ι → Type u... | [
194,
98
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
187,
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Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.sSup_eq_sup | [] | [
1252,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1251,
1
] |
Mathlib/MeasureTheory/Integral/CircleIntegral.lean | measurable_circleMap | [] | [
194,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
193,
1
] |
Mathlib/Combinatorics/Composition.lean | List.splitWrtComposition_join | [
{
"state_after": "no goals",
"state_before": "n : ℕ\nα : Type u_1\nL : List (List α)\nc : Composition (length (join L))\nh : map length L = c.blocks\n⊢ splitWrtComposition (join L) c = L",
"tactic": "simp only [eq_self_iff_true, and_self_iff, eq_iff_join_eq, join_splitWrtComposition,\n map_length_split... | [
777,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
774,
1
] |
Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometryEquiv.toIsometryEquiv_symm | [] | [
768,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
767,
1
] |
Mathlib/Order/SuccPred/LinearLocallyFinite.lean | toZ_of_eq | [
{
"state_after": "ι : Type u_1\ninst✝³ : LinearOrder ι\ninst✝² : SuccOrder ι\ninst✝¹ : IsSuccArchimedean ι\ninst✝ : PredOrder ι\ni0 i : ι\n⊢ ↑(Nat.find (_ : ∃ n, (succ^[n]) i0 = i0)) = 0",
"state_before": "ι : Type u_1\ninst✝³ : LinearOrder ι\ninst✝² : SuccOrder ι\ninst✝¹ : IsSuccArchimedean ι\ninst✝ : Pred... | [
213,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
209,
1
] |
Mathlib/GroupTheory/Perm/Cycle/Basic.lean | Equiv.Perm.sameCycle_subtypePerm | [
{
"state_after": "no goals",
"state_before": "ι : Type ?u.206150\nα : Type u_1\nβ : Type ?u.206156\nf g : Perm α\np : α → Prop\nx✝ y✝ z : α\nh : ∀ (x : α), p x ↔ p (↑f x)\nx y : { x // p x }\nn : ℤ\n⊢ ↑(subtypePerm f h ^ n) x = y ↔ ↑(f ^ n) ↑x = ↑y",
"tactic": "simp [Subtype.ext_iff]"
}
] | [
226,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
224,
1
] |
Mathlib/Order/Filter/Germ.lean | Filter.Germ.coe_one | [] | [
357,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
356,
1
] |
Mathlib/Data/Ordmap/Ordset.lean | Ordnode.node3L_size | [
{
"state_after": "α : Type u_1\nl : Ordnode α\nx : α\nm : Ordnode α\ny : α\nr : Ordnode α\n⊢ (((match l with\n | nil => 0\n | node sz l x r => sz) +\n match m with\n | nil => 0\n | node sz l x r => sz) +\n 1 +\n match r with\n | nil =... | [
390,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
389,
1
] |
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