file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
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Mathlib/Geometry/Manifold/ChartedSpace.lean | StructureGroupoid.eq_on_source | [] | [
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28
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200,
1
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Mathlib/Topology/Algebra/Order/ExtendFrom.lean | eq_lim_at_right_extendFrom_Ioo | [
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51,
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Mathlib/Data/Set/Basic.lean | SetCoe.ext | [] | [
213,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
212,
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Mathlib/Analysis/SpecialFunctions/Polynomials.lean | Polynomial.div_tendsto_atBot_of_degree_gt' | [
{
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"state_before": "𝕜 : Type u_1\ninst✝¹ : NormedLinearOrdere... | [
208,
11
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
198,
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Mathlib/Data/Finsupp/Basic.lean | Finsupp.equivMapDomain_eq_mapDomain | [
{
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680,
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Mathlib/Analysis/Normed/Group/Hom.lean | NormedAddGroupHom.NormNoninc.zero | [
{
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Mathlib/LinearAlgebra/Alternating.lean | AlternatingMap.domDomCongr_perm | [] | [
792,
45
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Mathlib/Topology/MetricSpace/Basic.lean | cauchySeq_iff_le_tendsto_0 | [
{
"state_after": "α : Type u\nβ : Type v\nX : Type ?u.230183\nι : Type ?u.230186\ninst✝² : PseudoMetricSpace α\ninst✝¹ : Nonempty β\ninst✝ : SemilatticeSup β\ns : ℕ → α\nhs : CauchySeq s\nS : ℕ → Set ℝ := fun N => (fun p => dist (s p.fst) (s p.snd)) '' {p | p.fst ≥ N ∧ p.snd ≥ N}\n⊢ ∃ b, (∀ (n : ℕ), 0 ≤ b n) ∧ ... | [
1600,
76
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1572,
1
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Mathlib/CategoryTheory/Limits/Shapes/Biproducts.lean | CategoryTheory.Limits.biproduct.lift_map | [
{
"state_after": "case w\nJ : Type w\nC : Type u\ninst✝³ : Category C\ninst✝² : HasZeroMorphisms C\nf g : J → C\ninst✝¹ : HasBiproduct f\ninst✝ : HasBiproduct g\nP : C\nk : (j : J) → P ⟶ f j\np : (j : J) → f j ⟶ g j\nj✝ : J\n⊢ (lift k ≫ map p) ≫ π (fun b => g b) j✝ = (lift fun j => k j ≫ p j) ≫ π (fun b => g b)... | [
550,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
547,
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Mathlib/Analysis/Calculus/FDeriv/Basic.lean | HasFDerivAt.unique | [
{
"state_after": "𝕜 : Type u_1\ninst✝⁸ : NontriviallyNormedField 𝕜\nE : Type u_2\ninst✝⁷ : NormedAddCommGroup E\ninst✝⁶ : NormedSpace 𝕜 E\nF : Type u_3\ninst✝⁵ : NormedAddCommGroup F\ninst✝⁴ : NormedSpace 𝕜 F\nG : Type ?u.229885\ninst✝³ : NormedAddCommGroup G\ninst✝² : NormedSpace 𝕜 G\nG' : Type ?u.229980\... | [
474,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
472,
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Mathlib/Data/Fin/VecNotation.lean | Matrix.cons_add | [
{
"state_after": "case h\nα : Type u\nm n o : ℕ\nm' : Type ?u.58053\nn' : Type ?u.58056\no' : Type ?u.58059\ninst✝ : Add α\nx : α\nv : Fin n → α\nw : Fin (Nat.succ n) → α\ni : Fin (Nat.succ n)\n⊢ (vecCons x v + w) i = vecCons (x + vecHead w) (v + vecTail w) i",
"state_before": "α : Type u\nm n o : ℕ\nm' : T... | [
460,
54
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457,
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Mathlib/Data/Polynomial/Basic.lean | Polynomial.C_eq_nat_cast | [] | [
536,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
535,
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Mathlib/GroupTheory/SemidirectProduct.lean | SemidirectProduct.rightHom_comp_inl | [
{
"state_after": "case h\nN : Type u_1\nG : Type u_2\nH : Type ?u.105269\ninst✝² : Group N\ninst✝¹ : Group G\ninst✝ : Group H\nφ : G →* MulAut N\nx✝ : N\n⊢ ↑(MonoidHom.comp rightHom inl) x✝ = ↑1 x✝",
"state_before": "N : Type u_1\nG : Type u_2\nH : Type ?u.105269\ninst✝² : Group N\ninst✝¹ : Group G\ninst✝ :... | [
189,
96
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
189,
1
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Mathlib/Algebra/Periodic.lean | Function.Periodic.sub_nat_mul_eq | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.100335\nf g : α → β\nc c₁ c₂ x : α\ninst✝ : Ring α\nh : Periodic f c\nn : ℕ\n⊢ f (x - ↑n * c) = f x",
"tactic": "simpa only [nsmul_eq_mul] using h.sub_nsmul_eq n"
}
] | [
222,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
221,
1
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Mathlib/Data/Int/ModEq.lean | Int.exists_unique_equiv_nat | [
{
"state_after": "no goals",
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"tactic": "constructor <;> rw [ofNat_natAbs_eq_of_nonneg z hz1] <;> assumption"
}
] | [
317,
73
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
314,
1
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Mathlib/Analysis/SpecificLimits/Basic.lean | geom_lt | [
{
"state_after": "α : Type ?u.33970\nβ : Type ?u.33973\nι : Type ?u.33976\nu : ℕ → ℝ\nc : ℝ\nhc : 0 ≤ c\nn : ℕ\nhn : 0 < n\nh : ∀ (k : ℕ), k < n → c * u k < u (k + 1)\n⊢ c ^ 0 * u 0 ≤ u 0\n\nα : Type ?u.33970\nβ : Type ?u.33973\nι : Type ?u.33976\nu : ℕ → ℝ\nc : ℝ\nhc : 0 ≤ c\nn : ℕ\nhn : 0 < n\nh : ∀ (k : ℕ), ... | [
132,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
128,
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Mathlib/Analysis/NormedSpace/AffineIsometry.lean | AffineIsometryEquiv.toHomeomorph_refl | [] | [
514,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
513,
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Mathlib/Dynamics/Flow.lean | Flow.isInvariant_iff_image_eq | [
{
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166,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
162,
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Mathlib/Algebra/GroupPower/Basic.lean | inv_zpow' | [
{
"state_after": "no goals",
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"tactic": "rw [inv_zpow, zpow_neg]"
}
] | [
358,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
358,
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Mathlib/Algebra/Order/Ring/Defs.lean | Monotone.const_mul_of_nonpos | [] | [
426,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
425,
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Mathlib/Algebra/BigOperators/Finprod.lean | finprod_mem_finset_product₃ | [
{
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1259,
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1254,
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Mathlib/Analysis/Convex/Exposed.lean | IsExposed.inter_left | [
{
"state_after": "case intro\n𝕜 : Type u_1\nE : Type u_2\ninst✝⁴ : TopologicalSpace 𝕜\ninst✝³ : OrderedRing 𝕜\ninst✝² : AddCommMonoid E\ninst✝¹ : TopologicalSpace E\ninst✝ : Module 𝕜 E\nl : E →L[𝕜] 𝕜\nA B C : Set E\nX : Finset E\nx : E\nhC : IsExposed 𝕜 A C\nhCB : C ⊆ B\nw : E\nhw : w ∈ C\n⊢ ∃ l, C = {x ... | [
175,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
171,
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Mathlib/Data/Multiset/Basic.lean | Multiset.foldl_zero | [] | [
1363,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1362,
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Mathlib/Data/Int/AbsoluteValue.lean | AbsoluteValue.map_units_int | [
{
"state_after": "no goals",
"state_before": "R : Type ?u.14\nS : Type u_1\ninst✝¹ : Ring R\ninst✝ : LinearOrderedCommRing S\nabv : AbsoluteValue ℤ S\nx : ℤˣ\n⊢ ↑abv ↑x = 1",
"tactic": "rcases Int.units_eq_one_or x with (rfl | rfl) <;> simp"
}
] | [
33,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
32,
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Mathlib/MeasureTheory/Measure/ProbabilityMeasure.lean | MeasureTheory.FiniteMeasure.normalize_eq_of_nonzero | [
{
"state_after": "no goals",
"state_before": "Ω : Type u_1\ninst✝ : Nonempty Ω\nm0 : MeasurableSpace Ω\nμ : FiniteMeasure Ω\nnonzero : μ ≠ 0\ns : Set Ω\n⊢ (fun s => ENNReal.toNNReal (↑↑↑(normalize μ) s)) s = (mass μ)⁻¹ * (fun s => ENNReal.toNNReal (↑↑↑μ s)) s",
"tactic": "simp only [μ.self_eq_mass_mul_n... | [
358,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
356,
1
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Mathlib/NumberTheory/Multiplicity.lean | Nat.two_pow_sub_pow | [
{
"state_after": "case inl\nR : Type ?u.872951\nn✝ x y : ℕ\nhxy : 2 ∣ x - y\nhx : ¬2 ∣ x\nn : ℕ\nhn : Even n\nhyx : y ≤ x\n⊢ multiplicity 2 (x ^ n - y ^ n) + 1 = multiplicity 2 (x + y) + multiplicity 2 (x - y) + multiplicity 2 n\n\ncase inr\nR : Type ?u.872951\nn✝ x y : ℕ\nhxy : 2 ∣ x - y\nhx : ¬2 ∣ x\nn : ℕ\nh... | [
377,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
363,
1
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Mathlib/Algebra/Order/Field/Basic.lean | add_div_two_lt_right | [
{
"state_after": "no goals",
"state_before": "ι : Type ?u.101700\nα : Type u_1\nβ : Type ?u.101706\ninst✝ : LinearOrderedSemifield α\na b c d e : α\nm n : ℤ\n⊢ (a + b) / 2 < b ↔ a < b",
"tactic": "simp [div_lt_iff, mul_two]"
}
] | [
544,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
544,
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Mathlib/Dynamics/PeriodicPts.lean | Function.mk_mem_periodicPts | [] | [
227,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
226,
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Mathlib/Algebra/GroupPower/Lemmas.lean | Commute.cast_int_mul_left | [] | [
1160,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1158,
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Mathlib/Analysis/Calculus/FDerivMeasurable.lean | FDerivMeasurableAux.d_subset_differentiable_set | [
{
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366,
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Mathlib/Topology/Category/CompHaus/Basic.lean | CompHaus.epi_iff_surjective | [
{
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"state_before": "X Y : CompHaus\nf : X ⟶ Y\n⊢ Epi f ↔ Function.Surjective ((forget CompHaus).map f)"... | [
341,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
298,
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Mathlib/Analysis/MeanInequalities.lean | NNReal.young_inequality | [] | [
280,
86
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
278,
1
] |
Mathlib/Data/Complex/Exponential.lean | Real.exp_lt_one_iff | [
{
"state_after": "no goals",
"state_before": "x✝ y x : ℝ\n⊢ exp x < 1 ↔ x < 0",
"tactic": "rw [← exp_zero, exp_lt_exp]"
}
] | [
1547,
85
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1547,
1
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Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.IsBigO.isBigOWith | [] | [
191,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
190,
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Mathlib/Data/Set/Lattice.lean | Set.biInter_mono | [] | [
893,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
891,
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.sum_coe_finset | [
{
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Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.AEEqFun.integrable_coeFn | [
{
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... | [
1220,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1219,
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] |
Mathlib/RingTheory/Ideal/Over.lean | Ideal.exists_coeff_ne_zero_mem_comap_of_non_zero_divisor_root_mem | [
{
"state_after": "case refine'_1\nR : Type u_2\ninst✝¹ : CommRing R\nS : Type u_1\ninst✝ : CommRing S\nf : R →+* S\nI J : Ideal S\nr : S\nr_non_zero_divisor : ∀ {x : S}, x * r = 0 → x = 0\nhr : r ∈ I\np : R[X]\n⊢ 0 ≠ 0 → eval₂ f r 0 = 0 → ∃ i, coeff 0 i ≠ 0 ∧ coeff 0 i ∈ comap f I\n\ncase refine'_2\nR : Type u_... | [
73,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
59,
1
] |
Mathlib/Topology/FiberBundle/Trivialization.lean | Pretrivialization.coe_fst' | [] | [
125,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
124,
1
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Mathlib/Algebra/Opposites.lean | MulOpposite.unop_bijective | [] | [
147,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
146,
1
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Mathlib/RingTheory/Subring/Basic.lean | Subring.map_bot | [] | [
1082,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1081,
1
] |
Mathlib/RingTheory/Ideal/QuotientOperations.lean | DoubleQuot.quotQuotEquivComm_symmₐ | [
{
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Mathlib/Data/List/Basic.lean | List.take_one_drop_eq_of_lt_length' | [] | [
1392,
73
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Mathlib/Dynamics/Circle/RotationNumber/TranslationNumber.lean | CircleDeg1Lift.map_fract_sub_fract_eq | [
{
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] | [
396,
58
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395,
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Mathlib/FieldTheory/IntermediateField.lean | toIntermediateField'_toSubalgebra | [
{
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331,
6
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328,
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Mathlib/LinearAlgebra/StdBasis.lean | LinearMap.proj_stdBasis_same | [] | [
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39
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Mathlib/Analysis/NormedSpace/Extend.lean | ContinuousLinearMap.norm_extendTo𝕜 | [] | [
173,
21
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171,
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Mathlib/Analysis/BoxIntegral/Basic.lean | BoxIntegral.Integrable.mono | [] | [
249,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
248,
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Mathlib/LinearAlgebra/Matrix/IsDiag.lean | Matrix.IsDiag.kronecker | [
{
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... | [
152,
18
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146,
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Mathlib/MeasureTheory/Constructions/BorelSpace/Basic.lean | AEMeasurable.norm | [] | [
2044,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2042,
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Mathlib/Data/Finsupp/AList.lean | AList.singleton_lookupFinsupp | [
{
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},
{
"state_after... | [
126,
99
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
122,
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Mathlib/Algebra/Lie/Submodule.lean | LieSubmodule.coe_sub | [] | [
208,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
207,
1
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Mathlib/NumberTheory/LegendreSymbol/ZModChar.lean | ZMod.χ₄_nat_mod_four | [
{
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] | [
59,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
59,
1
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Mathlib/Topology/MetricSpace/IsometricSMul.lean | IsometryEquiv.mulLeft_symm | [] | [
196,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
194,
1
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Mathlib/Logic/Equiv/Basic.lean | Function.Involutive.coe_toPerm | [] | [
1708,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1707,
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Mathlib/Analysis/NormedSpace/Multilinear.lean | ContinuousMultilinearMap.curryLeft_apply | [] | [
1366,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1364,
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Mathlib/MeasureTheory/Function/Jacobian.lean | MeasureTheory.aemeasurable_ofReal_abs_det_fderivWithin | [
{
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767,
43
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761,
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Mathlib/Topology/Basic.lean | tendsto_pure_nhds | [] | [
1055,
54
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1053,
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Mathlib/Data/List/Count.lean | List.count_eq_zero_of_not_mem | [] | [
255,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
254,
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Mathlib/Data/Multiset/FinsetOps.lean | Multiset.ndinter_cons_of_not_mem | [
{
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] | [
239,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
238,
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Mathlib/Order/Disjoint.lean | isCompl_top_bot | [] | [
626,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
625,
1
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Mathlib/MeasureTheory/Integral/IntervalIntegral.lean | ContinuousOn.intervalIntegrable_of_Icc | [] | [
364,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
362,
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Mathlib/Data/Nat/Choose/Basic.lean | Nat.choose_zero_succ | [] | [
61,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
60,
1
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Mathlib/Data/Nat/Log.lean | Nat.clog_zero_left | [] | [
260,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
259,
1
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Mathlib/Topology/MetricSpace/Basic.lean | Metric.bounded_Ico | [] | [
2546,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2545,
1
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Mathlib/Order/Heyting/Regular.lean | Heyting.isRegular_top | [
{
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}
] | [
66,
85
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
66,
1
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Mathlib/Algebra/Ring/Commute.lean | mul_self_eq_mul_self_iff | [] | [
161,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
159,
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Mathlib/Algebra/Associated.lean | Associated.ne_zero_iff | [] | [
589,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
588,
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Mathlib/Topology/FiberBundle/Trivialization.lean | Trivialization.image_preimage_eq_prod_univ | [] | [
455,
97
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
448,
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Mathlib/Algebra/Lie/Solvable.lean | LieAlgebra.abelian_of_solvable_ideal_eq_bot_iff | [
{
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375,
23
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365,
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Mathlib/Analysis/Normed/Field/Basic.lean | nnnorm_zpow | [] | [
591,
36
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590,
1
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Mathlib/Order/SupIndep.lean | CompleteLattice.independent_iff_supIndep | [
{
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371,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
362,
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Mathlib/MeasureTheory/Function/SimpleFunc.lean | MeasureTheory.SimpleFunc.restrict_of_not_measurable | [] | [
748,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
746,
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Mathlib/SetTheory/Cardinal/Ordinal.lean | Cardinal.mk_bounded_set_le_of_infinite | [
{
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"tactic": "refine' le_trans _ (by rw [← add_one_eq (aleph0_le_mk α)])"
},
{
"state_after"... | [
1118,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1088,
1
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Mathlib/Init/Data/Subtype/Basic.lean | Subtype.tag_irrelevant | [] | [
31,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
30,
1
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Mathlib/Algebra/Module/LocalizedModule.lean | IsLocalizedModule.mk'_add_mk' | [
{
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930,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
927,
1
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Mathlib/Data/Real/Sqrt.lean | Real.div_sqrt | [
{
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{
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"state_before": "case inl\nx : ℝ\nh : x ≤ 0\n⊢ x... | [
423,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
420,
1
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Mathlib/LinearAlgebra/Matrix/Circulant.lean | Matrix.circulant_injective | [
{
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65,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
62,
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Mathlib/Data/Quot.lean | Quotient.exact' | [] | [
766,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
764,
1
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Mathlib/Algebra/Group/Conj.lean | IsConj.conjugatesOf_eq | [] | [
294,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
293,
1
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Mathlib/Data/PNat/Basic.lean | PNat.lt_add_one_iff | [] | [
170,
79
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
170,
1
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Mathlib/Data/Multiset/Basic.lean | Multiset.card_mono | [] | [
766,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
766,
1
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Mathlib/Topology/Algebra/Order/ProjIcc.lean | quotientMap_projIcc | [
{
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48,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
46,
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Mathlib/LinearAlgebra/Prod.lean | LinearMap.coe_prodMap | [] | [
314,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
313,
1
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Mathlib/Order/Filter/Cofinite.lean | Filter.disjoint_cofinite_left | [
{
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134,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
131,
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Mathlib/Algebra/Order/Floor.lean | Int.fract_add_int | [
{
"state_after": "F : Type ?u.145603\nα : Type u_1\nβ : Type ?u.145609\ninst✝¹ : LinearOrderedRing α\ninst✝ : FloorRing α\nz : ℤ\na✝ a : α\nm : ℤ\n⊢ a + ↑m - ↑⌊a + ↑m⌋ = fract a",
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823,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/Sign.lean | SignType.coe_zero | [] | [
260,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
259,
1
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Mathlib/CategoryTheory/Subobject/Limits.lean | CategoryTheory.Limits.imageSubobject_iso_comp | [
{
"state_after": "no goals",
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"tactic": "simp"
}
] | [
438,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
435,
1
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Mathlib/Analysis/Calculus/ContDiffDef.lean | ftaylorSeriesWithin_univ | [
{
"state_after": "case h\n𝕜 : Type u\ninst✝⁸ : NontriviallyNormedField 𝕜\nE : Type uE\ninst✝⁷ : NormedAddCommGroup E\ninst✝⁶ : NormedSpace 𝕜 E\nF : Type uF\ninst✝⁵ : NormedAddCommGroup F\ninst✝⁴ : NormedSpace 𝕜 F\nG : Type uG\ninst✝³ : NormedAddCommGroup G\ninst✝² : NormedSpace 𝕜 G\nX : Type uX\ninst✝¹ : N... | [
1602,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1599,
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Mathlib/NumberTheory/FermatPsp.lean | FermatPsp.pow_gt_exponent | [] | [
142,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
141,
9
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Mathlib/Order/Filter/SmallSets.lean | Filter.Tendsto.smallSets_mono | [
{
"state_after": "α : Type u_2\nβ : Type u_1\nι : Sort ?u.3977\nl l' la : Filter α\nlb : Filter β\ns t : α → Set β\nht : ∀ (t_1 : Set β), t_1 ∈ lb → ∀ᶠ (x : α) in la, t x ⊆ t_1\nhst : ∀ᶠ (x : α) in la, s x ⊆ t x\n⊢ ∀ (t : Set β), t ∈ lb → ∀ᶠ (x : α) in la, s x ⊆ t",
"state_before": "α : Type u_2\nβ : Type u... | [
139,
73
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
136,
1
] |
Mathlib/Topology/DiscreteQuotient.lean | DiscreteQuotient.proj_bot_inj | [
{
"state_after": "no goals",
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"tactic... | [
271,
93
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
271,
1
] |
Mathlib/Logic/Equiv/Set.lean | Equiv.preimage_image | [] | [
99,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
98,
1
] |
Mathlib/SetTheory/Ordinal/Basic.lean | RelEmbedding.ordinal_type_le | [] | [
372,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
370,
1
] |
Mathlib/RingTheory/Multiplicity.lean | multiplicity.addValuation_apply | [] | [
641,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
640,
1
] |
Mathlib/Topology/ContinuousOn.lean | continuousWithinAt_iff_continuousAt_restrict | [] | [
549,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
547,
1
] |
Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.nat_mul_aleph0 | [
{
"state_after": "no goals",
"state_before": "α β : Type u\nn : ℕ\nhn : n ≠ 0\n⊢ 1 ≤ ↑n",
"tactic": "rwa [← Nat.cast_one, natCast_le, Nat.one_le_iff_ne_zero]"
}
] | [
1644,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1641,
1
] |
Mathlib/RingTheory/ChainOfDivisors.lean | mem_normalizedFactors_factor_dvd_iso_of_mem_normalizedFactors | [
{
"state_after": "M : Type u_2\ninst✝⁷ : CancelCommMonoidWithZero M\nN : Type u_1\ninst✝⁶ : CancelCommMonoidWithZero N\ninst✝⁵ : Unique Mˣ\ninst✝⁴ : Unique Nˣ\ninst✝³ : UniqueFactorizationMonoid M\ninst✝² : UniqueFactorizationMonoid N\ninst✝¹ : DecidableEq M\ninst✝ : DecidableEq N\nm p : M\nn : N\nhm : m ≠ 0\nh... | [
429,
90
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
398,
1
] |
Mathlib/Topology/Instances/Matrix.lean | Continuous.matrix_dotProduct | [] | [
124,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
120,
1
] |
Mathlib/Algebra/Algebra/Unitization.lean | Unitization.inl_mul_inr | [
{
"state_after": "no goals",
"state_before": "R : Type u_1\nA : Type u_2\ninst✝² : Semiring R\ninst✝¹ : NonUnitalNonAssocSemiring A\ninst✝ : DistribMulAction R A\nr : R\na : A\n⊢ r • a + 0 • 0 + 0 * a = r • a",
"tactic": "rw [smul_zero, add_zero, MulZeroClass.zero_mul, add_zero]"
}
] | [
421,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
417,
1
] |
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