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Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean | Real.continuous_cosh | [] | [
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Mathlib/LinearAlgebra/AffineSpace/Independent.lean | exists_nontrivial_relation_sum_zero_of_not_affine_ind | [
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Mathlib/CategoryTheory/Sites/Grothendieck.lean | CategoryTheory.GrothendieckTopology.intersection_covering | [
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Mathlib/LinearAlgebra/InvariantBasisNumber.lean | eq_of_fin_equiv | [] | [
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Mathlib/Data/Set/Image.lean | Set.image_subset | [
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Mathlib/MeasureTheory/Measure/WithDensityVectorMeasure.lean | MeasureTheory.withDensityᵥ_neg | [
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Mathlib/Analysis/LocallyConvex/Basic.lean | Absorbs.mono | [] | [
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Mathlib/Algebra/Lie/UniversalEnveloping.lean | UniversalEnvelopingAlgebra.lift_ι_apply' | [
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157,
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Mathlib/Data/Polynomial/Derivative.lean | Polynomial.coeff_derivative | [
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Mathlib/Probability/ProbabilityMassFunction/Constructions.lean | Pmf.toMeasure_map_apply | [
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Mathlib/Algebra/Regular/SMul.lean | IsRightRegular.isSMulRegular | [] | [
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Mathlib/Algebra/Lie/IdealOperations.lean | LieSubmodule.inf_lie | [
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Mathlib/Algebra/Module/Submodule/Basic.lean | Submodule.toAddSubmonoid_injective | [] | [
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Mathlib/Computability/TuringMachine.lean | Turing.TM0.Machine.map_step | [
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Std/Data/Int/Lemmas.lean | Int.add_sub_cancel | [] | [
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Mathlib/Algebra/Order/Group/Abs.lean | eq_or_eq_neg_of_abs_eq | [
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] | [
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Mathlib/LinearAlgebra/Matrix/DotProduct.lean | Matrix.dotProduct_stdBasis_one | [
{
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Mathlib/Data/Finset/Pointwise.lean | Finset.mem_smul_finset | [
{
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"tactic": "simp only [Finset.smul_finset_def, and_assoc, mem_image, e... | [
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Mathlib/Algebra/BigOperators/Basic.lean | Finset.prod_disjUnion | [
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Mathlib/Data/Sym/Basic.lean | Sym.mem_coe | [] | [
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Mathlib/Analysis/Calculus/Deriv/Basic.lean | fderivWithin_derivWithin | [] | [
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Mathlib/Data/Set/Basic.lean | Set.insert_inter_of_mem | [
{
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] | [
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Mathlib/CategoryTheory/Limits/Shapes/Equalizers.lean | CategoryTheory.Limits.coconeOfIsSplitEpi_π | [] | [
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Mathlib/LinearAlgebra/Matrix/IsDiag.lean | Matrix.isDiag_iff_diagonal_diag | [] | [
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Mathlib/Order/Category/DistLatCat.lean | distLatCat_dual_comp_forget_to_latCat | [] | [
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6
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Mathlib/CategoryTheory/NatIso.lean | CategoryTheory.NatIso.cancel_natIso_hom_right_assoc | [
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Mathlib/GroupTheory/MonoidLocalization.lean | Localization.mk_one_eq_monoidOf_mk | [] | [
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Mathlib/Topology/Connected.lean | isTotallyDisconnected_of_totallyDisconnectedSpace | [] | [
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Mathlib/Topology/Basic.lean | continuous_id' | [] | [
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Mathlib/Data/ZMod/Basic.lean | ZMod.int_cast_zmod_cast | [
{
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Mathlib/FieldTheory/Subfield.lean | Subfield.map_bot | [] | [
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Mathlib/Order/CompleteLattice.lean | iSup₂_mono' | [] | [
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Mathlib/Algebra/Order/Sub/Defs.lean | tsub_tsub | [
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Mathlib/Analysis/Normed/Group/Basic.lean | dist_mul_self_right | [
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Mathlib/Data/Set/Pointwise/BigOperators.lean | Set.image_finset_prod_pi | [
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Mathlib/MeasureTheory/Integral/CircleIntegral.lean | le_radius_cauchyPowerSeries | [
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Mathlib/Analysis/Calculus/FDeriv/Prod.lean | hasStrictFDerivAt_snd | [] | [
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Mathlib/Topology/Order/Basic.lean | interior_Icc | [
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Mathlib/Data/PFunctor/Univariate/M.lean | PFunctor.M.eq_of_bisim | [
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Mathlib/Algebra/Group/TypeTags.lean | ofAdd_zero | [] | [
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Mathlib/Analysis/Calculus/Deriv/Basic.lean | HasFDerivAt.hasDerivAt | [] | [
199,
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Mathlib/Combinatorics/SimpleGraph/Density.lean | SimpleGraph.interedges_disjoint_left | [] | [
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Mathlib/Algebra/Star/Module.lean | star_inv_nat_cast_smul | [] | [
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Mathlib/Algebra/Lie/Basic.lean | LieModuleHom.map_lie | [] | [
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Mathlib/Analysis/Analytic/Basic.lean | HasFPowerSeriesOnBall.coeff_zero | [
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean | ContinuousOn.angle_sign_comp | [
{
"state_after": "α : Type u_1\ninst✝ : TopologicalSpace α\nf : α → Angle\ns : Set α\nhf : ContinuousOn f s\nhs : ∀ (z : α), z ∈ s → f z ≠ 0 ∧ f z ≠ ↑π\nθ : Angle\nhθ : θ ∈ f '' s\n⊢ ContinuousAt sign θ",
"state_before": "α : Type u_1\ninst✝ : TopologicalSpace α\nf : α → Angle\ns : Set α\nhf : ContinuousOn ... | [
1047,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1042,
1
] |
Mathlib/FieldTheory/Finite/Basic.lean | FiniteField.card | [
{
"state_after": "K : Type u_1\nR : Type ?u.399990\ninst✝² : Field K\ninst✝¹ : Fintype K\np : ℕ\ninst✝ : CharP K p\nhp : Fact (Nat.Prime p)\n⊢ ∃ n, Nat.Prime p ∧ q = p ^ ↑n",
"state_before": "K : Type u_1\nR : Type ?u.399990\ninst✝² : Field K\ninst✝¹ : Fintype K\np : ℕ\ninst✝ : CharP K p\n⊢ ∃ n, Nat.Prime p... | [
158,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
148,
1
] |
Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.IsBigOWith.congr_left | [] | [
314,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
312,
1
] |
Mathlib/Algebra/Quaternion.lean | Quaternion.coe_one | [] | [
884,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
884,
1
] |
Mathlib/Algebra/Order/Ring/Defs.lean | mul_lt_mul_left_of_neg | [] | [
1142,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1141,
1
] |
Mathlib/Data/Sum/Basic.lean | Sum.update_inl_comp_inr | [] | [
303,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
301,
1
] |
Mathlib/Topology/Separation.lean | t2Space_iff_nhds | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\ninst✝ : TopologicalSpace α\n⊢ T2Space α ↔ ∀ {x y : α}, x ≠ y → ∃ U, U ∈ 𝓝 x ∧ ∃ V, V ∈ 𝓝 y ∧ Disjoint U V",
"tactic": "simp only [t2Space_iff_disjoint_nhds, Filter.disjoint_iff]"
}
] | [
931,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
930,
1
] |
Mathlib/Analysis/Normed/Group/Basic.lean | dist_div_eq_dist_mul_right | [
{
"state_after": "no goals",
"state_before": "𝓕 : Type ?u.60638\n𝕜 : Type ?u.60641\nα : Type ?u.60644\nι : Type ?u.60647\nκ : Type ?u.60650\nE : Type u_1\nF : Type ?u.60656\nG : Type ?u.60659\ninst✝² : SeminormedGroup E\ninst✝¹ : SeminormedGroup F\ninst✝ : SeminormedGroup G\ns : Set E\na✝ a₁ a₂ b✝ b₁ b₂ :... | [
453,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
452,
1
] |
Mathlib/Analysis/NormedSpace/Pointwise.lean | closure_thickening | [
{
"state_after": "no goals",
"state_before": "𝕜 : Type ?u.227614\nE : Type u_1\ninst✝³ : NormedField 𝕜\ninst✝² : SeminormedAddCommGroup E\ninst✝¹ : NormedSpace 𝕜 E\ninst✝ : NormedSpace ℝ E\nx y z : E\nδ ε : ℝ\nhδ : 0 < δ\ns : Set E\n⊢ closure (thickening δ s) = cthickening δ s",
"tactic": "rw [← cthi... | [
295,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
293,
1
] |
Mathlib/GroupTheory/Finiteness.lean | GroupFG.iff_add_fg | [] | [
329,
97
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
328,
1
] |
Mathlib/Data/Set/Basic.lean | Set.ssubset_def | [] | [
351,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
350,
1
] |
Mathlib/Data/Num/Lemmas.lean | Num.cast_zero' | [] | [
280,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
279,
1
] |
Mathlib/Data/MvPolynomial/CommRing.lean | MvPolynomial.vars_neg | [
{
"state_after": "no goals",
"state_before": "R : Type u\nS : Type v\nσ : Type u_1\na a' a₁ a₂ : R\ne : ℕ\nn m : σ\ns : σ →₀ ℕ\ninst✝ : CommRing R\np q : MvPolynomial σ R\n⊢ vars (-p) = vars p",
"tactic": "simp [vars, degrees_neg]"
}
] | [
114,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
114,
1
] |
Mathlib/Order/CompactlyGenerated.lean | CompleteLattice.isCompactElement_iff_le_of_directed_sSup_le | [
{
"state_after": "case mp\nι : Sort ?u.5271\nα : Type u_1\ninst✝ : CompleteLattice α\nf : ι → α\nk : α\n⊢ IsCompactElement k →\n ∀ (s : Set α), Set.Nonempty s → DirectedOn (fun x x_1 => x ≤ x_1) s → k ≤ sSup s → ∃ x, x ∈ s ∧ k ≤ x\n\ncase mpr\nι : Sort ?u.5271\nα : Type u_1\ninst✝ : CompleteLattice α\nf : ι ... | [
150,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
110,
1
] |
Mathlib/Data/MvPolynomial/Basic.lean | MvPolynomial.eval₂Hom_C | [] | [
1042,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1041,
1
] |
Mathlib/RingTheory/Noetherian.lean | isNoetherianRing_of_surjective | [
{
"state_after": "R : Type u_1\ninst✝¹ : Ring R\nS : Type u_2\ninst✝ : Ring S\nf : R →+* S\nhf : Surjective ↑f\nH : WellFounded fun x x_1 => x > x_1\n⊢ WellFounded fun x x_1 => x > x_1",
"state_before": "R : Type u_1\ninst✝¹ : Ring R\nS : Type u_2\ninst✝ : Ring S\nf : R →+* S\nhf : Surjective ↑f\nH : IsNoet... | [
587,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
584,
1
] |
Mathlib/Analysis/Convex/Exposed.lean | IsExposed.isExtreme | [
{
"state_after": "𝕜 : Type u_1\nE : Type u_2\ninst✝⁴ : TopologicalSpace 𝕜\ninst✝³ : LinearOrderedRing 𝕜\ninst✝² : AddCommMonoid E\ninst✝¹ : TopologicalSpace E\ninst✝ : Module 𝕜 E\nA B C : Set E\nhAB : IsExposed 𝕜 A B\nx₁ : E\nhx₁A : x₁ ∈ A\nx₂ : E\nhx₂A : x₂ ∈ A\nx : E\nhxB : x ∈ B\nhx : x ∈ openSegment 𝕜... | [
265,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
255,
11
] |
Mathlib/Order/ConditionallyCompleteLattice/Basic.lean | isLUB_csSup' | [
{
"state_after": "case inl\nα : Type u_1\nβ : Type ?u.73093\nγ : Type ?u.73096\nι : Sort ?u.73099\ninst✝ : ConditionallyCompleteLinearOrderBot α\nhs : BddAbove ∅\n⊢ IsLUB ∅ (sSup ∅)\n\ncase inr\nα : Type u_1\nβ : Type ?u.73093\nγ : Type ?u.73096\nι : Sort ?u.73099\ninst✝ : ConditionallyCompleteLinearOrderBot α\... | [
1035,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1032,
1
] |
Mathlib/Data/Ordmap/Ordset.lean | Ordnode.Raised.right | [
{
"state_after": "α : Type u_1\nl : Ordnode α\nx₁ x₂ : α\nr₁ r₂ : Ordnode α\nH : Raised (size r₁) (size r₂)\n⊢ Raised (size l + size r₁ + 1) (size l + size r₂ + 1)",
"state_before": "α : Type u_1\nl : Ordnode α\nx₁ x₂ : α\nr₁ r₂ : Ordnode α\nH : Raised (size r₁) (size r₂)\n⊢ Raised (size (node' l x₁ r₁)) (s... | [
815,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
810,
1
] |
Mathlib/RingTheory/Ideal/QuotientOperations.lean | DoubleQuot.quotQuotEquivQuotOfLE_symm_comp_mkₐ | [] | [
859,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
857,
1
] |
Mathlib/Algebra/GroupWithZero/Basic.lean | mul_inv_mul_self | [
{
"state_after": "case pos\nα : Type ?u.24681\nM₀ : Type ?u.24684\nG₀ : Type u_1\nM₀' : Type ?u.24690\nG₀' : Type ?u.24693\nF : Type ?u.24696\nF' : Type ?u.24699\ninst✝ : GroupWithZero G₀\na✝ b c a : G₀\nh : a = 0\n⊢ a * a⁻¹ * a = a\n\ncase neg\nα : Type ?u.24681\nM₀ : Type ?u.24684\nG₀ : Type u_1\nM₀' : Type ?... | [
358,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
355,
1
] |
Mathlib/Topology/ContinuousOn.lean | nhdsWithin_eq_map_subtype_coe | [] | [
498,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
496,
1
] |
Mathlib/LinearAlgebra/Matrix/Basis.lean | basis_toMatrix_mul_linearMap_toMatrix | [
{
"state_after": "ι : Type ?u.327501\nι' : Type u_1\nκ : Type u_2\nκ' : Type u_4\nR : Type u_3\nM : Type u_6\ninst✝¹¹ : CommSemiring R\ninst✝¹⁰ : AddCommMonoid M\ninst✝⁹ : Module R M\nR₂ : Type ?u.327703\nM₂ : Type ?u.327706\ninst✝⁸ : CommRing R₂\ninst✝⁷ : AddCommGroup M₂\ninst✝⁶ : Module R₂ M₂\ne : Basis ι R M... | [
186,
89
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
181,
1
] |
Mathlib/Algebra/Order/Floor.lean | Nat.floor_add_one | [
{
"state_after": "no goals",
"state_before": "F : Type ?u.82184\nα : Type u_1\nβ : Type ?u.82190\ninst✝¹ : LinearOrderedSemiring α\ninst✝ : FloorSemiring α\na : α\nn : ℕ\nha : 0 ≤ a\n⊢ ⌊a + 1⌋₊ = ⌊a⌋₊ + 1",
"tactic": "rw [←cast_one, floor_add_nat ha 1]"
}
] | [
453,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
451,
1
] |
Mathlib/Logic/Basic.lean | congr_fun_rfl | [] | [
543,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
543,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/CommSq.lean | CategoryTheory.IsPullback.zero_top | [] | [
485,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
484,
1
] |
Mathlib/Analysis/Convex/Side.lean | AffineSubspace.sOppSide_iff_exists_left | [
{
"state_after": "R : Type u_1\nV : Type u_2\nV' : Type ?u.270898\nP : Type u_3\nP' : Type ?u.270904\ninst✝⁶ : LinearOrderedField R\ninst✝⁵ : AddCommGroup V\ninst✝⁴ : Module R V\ninst✝³ : AddTorsor V P\ninst✝² : AddCommGroup V'\ninst✝¹ : Module R V'\ninst✝ : AddTorsor V' P'\ns : AffineSubspace R P\nx y p₁ : P\n... | [
514,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
510,
1
] |
Mathlib/Data/Fintype/Card.lean | Fintype.card_unit | [] | [
354,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
353,
1
] |
Mathlib/Algebra/TrivSqZeroExt.lean | TrivSqZeroExt.inl_mul_inr | [
{
"state_after": "no goals",
"state_before": "R : Type u\nM : Type v\ninst✝³ : Semiring R\ninst✝² : AddCommMonoid M\ninst✝¹ : Module R M\ninst✝ : Module Rᵐᵒᵖ M\nr : R\nm : M\n⊢ r • m + 0 • 0 = r • m",
"tactic": "rw [smul_zero, add_zero]"
}
] | [
496,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
493,
1
] |
Mathlib/Order/UpperLower/Basic.lean | UpperSet.compl_top | [] | [
828,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
827,
11
] |
Mathlib/Topology/Algebra/Module/Basic.lean | ContinuousLinearEquiv.eq_symm_apply | [] | [
2113,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2112,
1
] |
Mathlib/Data/List/Infix.lean | List.isPrefix.filter_map | [
{
"state_after": "case nil\nα : Type u_1\nβ : Type u_2\nl l₁ l₂✝ l₃ : List α\na b : α\nm n : ℕ\nh✝ : l₁ <+: l₂✝\nf : α → Option β\nl₂ : List α\nh : [] <+: l₂\n⊢ filterMap f [] <+: filterMap f l₂\n\ncase cons\nα : Type u_1\nβ : Type u_2\nl l₁ l₂✝ l₃ : List α\na b : α\nm n : ℕ\nh✝ : l₁ <+: l₂✝\nf : α → Option β\n... | [
302,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
293,
1
] |
Mathlib/Order/Height.lean | Set.chainHeight_of_isEmpty | [] | [
157,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
156,
1
] |
Mathlib/Topology/Instances/ENNReal.lean | NNReal.tsum_strict_mono | [] | [
1222,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1220,
1
] |
Mathlib/AlgebraicGeometry/StructureSheaf.lean | AlgebraicGeometry.StructureSheaf.stalkAlgebra_map | [] | [
938,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
936,
1
] |
Mathlib/Analysis/Analytic/Basic.lean | FormalMultilinearSeries.changeOriginSeriesTerm_apply | [] | [
1110,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1106,
1
] |
Mathlib/Algebra/Lie/Nilpotent.lean | LieIdeal.lcs_top | [] | [
701,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
700,
1
] |
Mathlib/Data/Nat/Multiplicity.lean | Nat.Prime.multiplicity_factorial_le_div_pred | [
{
"state_after": "p : ℕ\nhp : Prime p\nn : ℕ\n⊢ ∑ i in Ico 1 (succ (log p n)), n / p ^ i ≤ n / (p - 1)",
"state_before": "p : ℕ\nhp : Prime p\nn : ℕ\n⊢ multiplicity p n ! ≤ ↑(n / (p - 1))",
"tactic": "rw [hp.multiplicity_factorial (lt_succ_self _), PartENat.coe_le_coe]"
},
{
"state_after": "no g... | [
172,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
169,
1
] |
Mathlib/Data/List/Duplicate.lean | List.nodup_iff_forall_not_duplicate | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nl : List α\nx : α\n⊢ Nodup l ↔ ∀ (x : α), ¬x ∈+ l",
"tactic": "simp_rw [nodup_iff_sublist, duplicate_iff_sublist]"
}
] | [
134,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
133,
1
] |
Mathlib/LinearAlgebra/Matrix/IsDiag.lean | Matrix.transpose_mul_self_isDiag_iff_hasOrthogonalCols | [] | [
201,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
199,
1
] |
Mathlib/MeasureTheory/Function/SpecialFunctions/Basic.lean | Complex.measurable_sinh | [] | [
108,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
107,
1
] |
Mathlib/Data/Nat/PartENat.lean | PartENat.get_zero | [] | [
196,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
195,
1
] |
Mathlib/CategoryTheory/Iso.lean | CategoryTheory.Iso.symm_symm_eq | [
{
"state_after": "case mk\nC : Type u\ninst✝ : Category C\nX✝ Y✝ Z X Y : C\nhom✝ : X ⟶ Y\ninv✝ : Y ⟶ X\nhom_inv_id✝ : hom✝ ≫ inv✝ = 𝟙 X\ninv_hom_id✝ : inv✝ ≫ hom✝ = 𝟙 Y\n⊢ (mk hom✝ inv✝).symm.symm = mk hom✝ inv✝",
"state_before": "C : Type u\ninst✝ : Category C\nX✝ Y✝ Z X Y : C\nα : X ≅ Y\n⊢ α.symm.symm =... | [
127,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
127,
1
] |
Mathlib/Data/Num/Lemmas.lean | PosNum.cmp_swap | [
{
"state_after": "no goals",
"state_before": "α : Type ?u.123313\nm : PosNum\n⊢ ∀ (n : PosNum), Ordering.swap (cmp m n) = cmp n m",
"tactic": "induction' m with m IH m IH <;> intro n <;> cases' n with n n <;> unfold cmp <;>\n try { rfl } <;> rw [← IH] <;> cases cmp m n <;> rfl"
}
] | [
149,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
147,
1
] |
Mathlib/Data/Fin/Tuple/Basic.lean | Fin.pi_lex_lt_cons_cons | [
{
"state_after": "m n : ℕ\nα : Fin (n + 1) → Type u\nx✝ : α 0\nq : (i : Fin (n + 1)) → α i\np : (i : Fin n) → α (succ i)\ni : Fin n\ny✝ : α (succ i)\nz x₀ y₀ : α 0\nx y : (i : Fin n) → α (succ i)\ns : {i : Fin (Nat.succ n)} → α i → α i → Prop\n⊢ (((0 < 0 → cons x₀ x 0 = cons y₀ y 0) ∧ ∀ (i : Fin n), succ i < 0 ... | [
273,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
268,
1
] |
Mathlib/Order/RelIso/Basic.lean | RelIso.coe_toEquiv | [] | [
671,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
670,
1
] |
Mathlib/MeasureTheory/Constructions/BorelSpace/Basic.lean | measurable_iInf | [] | [
1271,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1269,
1
] |
Mathlib/LinearAlgebra/Matrix/BilinearForm.lean | BilinForm.toMatrix_compLeft | [
{
"state_after": "no goals",
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389,
81
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387,
1
] |
Mathlib/Topology/UniformSpace/Basic.lean | nhds_basis_uniformity | [
{
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"state_before": "α : Type ua\nβ : Type u... | [
733,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
729,
1
] |
Mathlib/CategoryTheory/Preadditive/Biproducts.lean | CategoryTheory.Limits.HasBinaryBiproduct.of_hasBinaryProduct | [] | [
379,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
375,
1
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Mathlib/RingTheory/Ideal/Prod.lean | Ideal.map_fst_prod | [
{
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"state_before": "R : Type u\nS : Type v\ninst✝¹ : Ring R\ninst✝ : Ring S\nI✝ I' : Ideal R\nJ✝ J' : Ideal S\nI... | [
71,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
65,
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Mathlib/Data/Set/Intervals/Basic.lean | Set.nonempty_Ioo | [] | [
296,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
295,
1
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Mathlib/Algebra/Module/LocalizedModule.lean | IsLocalizedModule.is_universal | [] | [
891,
92
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
888,
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Mathlib/MeasureTheory/Integral/IntegrableOn.lean | MeasureTheory.Measure.FiniteAtFilter.integrableAtFilter | [
{
"state_after": "α : Type u_1\nβ : Type ?u.1661712\nE : Type u_2\nF : Type ?u.1661718\ninst✝² : MeasurableSpace α\ninst✝¹ : NormedAddCommGroup E\nf g : α → E\ns t : Set α\nμ ν : Measure α\nl✝ l' l : Filter α\ninst✝ : IsMeasurablyGenerated l\nhfm : StronglyMeasurableAtFilter f l\nhμ : FiniteAtFilter μ l\nhf : I... | [
449,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
439,
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Mathlib/Data/Ordmap/Ordset.lean | Ordnode.valid'_singleton | [] | [
1123,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1121,
1
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