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/CategoryTheory/Limits/Shapes/CommSq.lean | CategoryTheory.IsPushout.map_iff | [] | [
1067,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1064,
1
] |
Mathlib/MeasureTheory/Function/AEMeasurableSequence.lean | aeSeq.aeSeqSet_measurableSet | [] | [
95,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
94,
1
] |
Mathlib/Analysis/NormedSpace/Pointwise.lean | ediam_smul₀ | [
{
"state_after": "𝕜 : Type u_2\nE : Type u_1\ninst✝³ : NormedDivisionRing 𝕜\ninst✝² : SeminormedAddCommGroup E\ninst✝¹ : Module 𝕜 E\ninst✝ : BoundedSMul 𝕜 E\nc : 𝕜\ns : Set E\n⊢ ‖c‖₊ • EMetric.diam s ≤ EMetric.diam (c • s)",
"state_before": "𝕜 : Type u_2\nE : Type u_1\ninst✝³ : NormedDivisionRing 𝕜\n... | [
56,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/LinearAlgebra/Finrank.lean | finrank_eq_zero_of_not_exists_basis_finite | [] | [
204,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
202,
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Arctan.lean | Real.image_tan_Ioo | [] | [
106,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
105,
1
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Mathlib/MeasureTheory/Constructions/Prod/Basic.lean | MeasureTheory.QuasiMeasurePreserving.prod_of_right | [
{
"state_after": "α : Type u_1\nα' : Type ?u.4534735\nβ : Type u_2\nβ' : Type ?u.4534741\nγ : Type u_3\nE : Type ?u.4534747\ninst✝⁶ : MeasurableSpace α\ninst✝⁵ : MeasurableSpace α'\ninst✝⁴ : MeasurableSpace β\ninst✝³ : MeasurableSpace β'\ninst✝² : MeasurableSpace γ\nμ✝ μ' : Measure α\nν✝ ν' : Measure β\nτ✝ : Me... | [
671,
86
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
664,
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Mathlib/MeasureTheory/Measure/OuterMeasure.lean | MeasureTheory.OuterMeasure.iSup_apply | [
{
"state_after": "no goals",
"state_before": "α : Type u_2\nβ : Type ?u.67250\nR : Type ?u.67253\nR' : Type ?u.67256\nms : Set (OuterMeasure α)\nm : OuterMeasure α\nι : Sort u_1\nf : ι → OuterMeasure α\ns : Set α\n⊢ ↑(⨆ (i : ι), f i) s = ⨆ (i : ι), ↑(f i) s",
"tactic": "rw [iSup, sSup_apply, iSup_range,... | [
419,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
418,
1
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Mathlib/Analysis/Calculus/ContDiffDef.lean | fderiv_iteratedFDeriv | [
{
"state_after": "𝕜 : 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 : NormedAdd... | [
1553,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1547,
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Mathlib/Data/Polynomial/Degree/Definitions.lean | Polynomial.coeff_pow_mul_natDegree | [
{
"state_after": "case zero\nR : Type u\nS : Type v\na b c d : R\nn m : ℕ\ninst✝ : Semiring R\np✝ q : R[X]\nι : Type ?u.697185\np : R[X]\n⊢ coeff (p ^ Nat.zero) (Nat.zero * natDegree p) = leadingCoeff p ^ Nat.zero\n\ncase succ\nR : Type u\nS : Type v\na b c d : R\nn m : ℕ\ninst✝ : Semiring R\np✝ q : R[X]\nι : T... | [
1065,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1046,
1
] |
Mathlib/GroupTheory/Perm/Cycle/Basic.lean | Equiv.Perm.mem_list_cycles_iff | [
{
"state_after": "ι : Type ?u.2666441\nα✝ : Type ?u.2666444\nβ : Type ?u.2666447\ninst✝¹ : DecidableEq α✝\nα : Type u_1\ninst✝ : Finite α\nl : List (Perm α)\nh1 : ∀ (σ : Perm α), σ ∈ l → IsCycle σ\nh2 : List.Pairwise Disjoint l\nσ : Perm α\n⊢ IsCycle σ → (σ ∈ l ↔ ∀ (a : α), ↑σ a ≠ a → ↑σ a = ↑(List.prod l) a)",... | [
1310,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1285,
1
] |
Mathlib/Combinatorics/SimpleGraph/Connectivity.lean | SimpleGraph.isBridge_iff | [] | [
2447,
93
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2446,
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Mathlib/Order/Filter/Partial.lean | Filter.rmap_rmap | [
{
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"tactic": "simp [rmap_sets, Set.preimage, Rel.core_comp]"
}
] | [
83,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
81,
1
] |
Mathlib/Analysis/LocallyConvex/Basic.lean | balanced_empty | [
{
"state_after": "no goals",
"state_before": "𝕜 : Type u_1\n𝕝 : Type ?u.11887\nE : Type u_2\nι : Sort ?u.11893\nκ : ι → Sort ?u.11898\ninst✝¹ : SeminormedRing 𝕜\ninst✝ : SMul 𝕜 E\ns t u v A B : Set E\nx✝¹ : 𝕜\nx✝ : ‖x✝¹‖ ≤ 1\n⊢ x✝¹ • ∅ ⊆ ∅",
"tactic": "rw [smul_set_empty]"
}
] | [
175,
85
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
175,
1
] |
Mathlib/Topology/Inseparable.lean | SeparationQuotient.lift_comp_mk | [] | [
537,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
536,
1
] |
Mathlib/Order/Filter/SmallSets.lean | Filter.smallSets_principal | [] | [
110,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
109,
1
] |
Mathlib/Data/Dfinsupp/NeLocus.lean | Dfinsupp.neLocus_eq_empty | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nN : α → Type u_2\ninst✝² : DecidableEq α\ninst✝¹ : (a : α) → DecidableEq (N a)\ninst✝ : (a : α) → Zero (N a)\nf✝ g✝ f g : Π₀ (a : α), N a\nh : f = g\n⊢ neLocus f f = ∅",
"tactic": "simp only [neLocus, Ne.def, eq_self_iff_true, not_true, Finset.... | [
62,
97
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
59,
1
] |
Mathlib/Data/Set/Pointwise/Interval.lean | Set.preimage_const_add_Iio | [] | [
59,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
58,
1
] |
Mathlib/Analysis/SpecialFunctions/Pow/Complex.lean | Complex.cpow_sub | [
{
"state_after": "no goals",
"state_before": "x y z : ℂ\nhx : x ≠ 0\n⊢ x ^ (y - z) = x ^ y / x ^ z",
"tactic": "rw [sub_eq_add_neg, cpow_add _ _ hx, cpow_neg, div_eq_mul_inv]"
}
] | [
111,
65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
110,
1
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Mathlib/Data/List/Forall2.lean | List.rel_filter | [
{
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302,
87
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
291,
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Mathlib/Data/Finsupp/Lex.lean | Finsupp.lex_eq_invImage_dfinsupp_lex | [] | [
52,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
50,
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Mathlib/Algebra/Star/Subalgebra.lean | StarSubalgebra.mem_carrier | [] | [
82,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
81,
1
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Mathlib/Topology/Semicontinuous.lean | upperSemicontinuous_sum | [] | [
987,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
985,
1
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Mathlib/Data/Polynomial/Degree/Definitions.lean | Polynomial.natDegree_mem_support_of_nonzero | [
{
"state_after": "R : Type u\nS : Type v\na b c d : R\nn m : ℕ\ninst✝ : Semiring R\np q : R[X]\nι : Type ?u.515454\nH : p ≠ 0\n⊢ coeff p (natDegree p) ≠ 0",
"state_before": "R : Type u\nS : Type v\na b c d : R\nn m : ℕ\ninst✝ : Semiring R\np q : R[X]\nι : Type ?u.515454\nH : p ≠ 0\n⊢ natDegree p ∈ support p... | [
677,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
675,
1
] |
Mathlib/RingTheory/WittVector/Basic.lean | WittVector.mapFun.zsmul | [
{
"state_after": "no goals",
"state_before": "p : ℕ\nR : Type u_2\nS : Type u_1\nT : Type ?u.411235\nhp : Fact (Nat.Prime p)\ninst✝² : CommRing R\ninst✝¹ : CommRing S\ninst✝ : CommRing T\nα : Type ?u.411250\nβ : Type ?u.411253\nf : R →+* S\nx y : 𝕎 R\nz : ℤ\n⊢ mapFun (↑f) (z • x) = z • mapFun (↑f) x",
... | [
130,
76
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
130,
1
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Mathlib/Data/Finset/Prod.lean | Finset.filter_product | [
{
"state_after": "case a.mk\nα : Type u_1\nβ : Type u_2\nγ : Type ?u.23162\ns s' : Finset α\nt t' : Finset β\na✝ : α\nb✝ : β\np : α → Prop\nq : β → Prop\ninst✝¹ : DecidablePred p\ninst✝ : DecidablePred q\na : α\nb : β\n⊢ (a, b) ∈ filter (fun x => p x.fst ∧ q x.snd) (s ×ˢ t) ↔ (a, b) ∈ filter p s ×ˢ filter q t",... | [
149,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
146,
1
] |
Mathlib/Algebra/ModEq.lean | AddCommGroup.modEq_iff_eq_mod_zmultiples | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝ : AddCommGroup α\np a a₁ a₂ b b₁ b₂ c : α\nn : ℕ\nz : ℤ\n⊢ a ≡ b [PMOD p] ↔ ↑b = ↑a",
"tactic": "simp_rw [modEq_iff_eq_add_zsmul, QuotientAddGroup.eq_iff_sub_mem, AddSubgroup.mem_zmultiples_iff,\n eq_sub_iff_add_eq', eq_comm]"
}
] | [
302,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
300,
1
] |
Mathlib/Analysis/NormedSpace/OperatorNorm.lean | ContinuousLinearMap.prodMapL_apply | [] | [
1067,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1065,
1
] |
Mathlib/Topology/MetricSpace/PiNat.lean | PiCountable.dist_eq_tsum | [] | [
833,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
831,
1
] |
Mathlib/Order/Minimal.lean | IsAntichain.maximals_lowerClosure | [] | [
244,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
242,
1
] |
Mathlib/Order/WithBot.lean | WithTop.untop'_eq_untop'_iff | [] | [
724,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
722,
1
] |
Mathlib/Algebra/Support.lean | Function.mulSupport_mul_inv | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.40597\nA : Type ?u.40600\nB : Type ?u.40603\nM : Type ?u.40606\nN : Type ?u.40609\nP : Type ?u.40612\nR : Type ?u.40615\nS : Type ?u.40618\nG : Type u_2\nM₀ : Type ?u.40624\nG₀ : Type ?u.40627\nι : Sort ?u.40630\ninst✝ : DivisionMonoid ... | [
292,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
291,
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Mathlib/Topology/Constructions.lean | Filter.Tendsto.update | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nγ : Type ?u.207058\nδ : Type ?u.207061\nε : Type ?u.207064\nζ : Type ?u.207067\nι : Type u_1\nπ : ι → Type u_2\nκ : Type ?u.207078\ninst✝² : TopologicalSpace α\ninst✝¹ : (i : ι) → TopologicalSpace (π i)\nf✝ : α → (i : ι) → π i\ninst✝ : De... | [
1234,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1231,
1
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Mathlib/Data/Set/Finite.lean | Set.Finite.inf_of_right | [] | [
757,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
756,
1
] |
Mathlib/Data/Real/Irrational.lean | Irrational.of_div_int | [] | [
432,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
431,
1
] |
Mathlib/MeasureTheory/Group/Action.lean | MeasureTheory.map_smul | [] | [
101,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
100,
1
] |
Mathlib/Geometry/Manifold/SmoothManifoldWithCorners.lean | LocalHomeomorph.extend_symm_preimage_inter_range_eventuallyEq_aux | [
{
"state_after": "𝕜 : Type u_4\nE : Type u_3\nM : Type u_1\nH : Type u_2\nE' : Type ?u.162184\nM' : Type ?u.162187\nH' : Type ?u.162190\ninst✝⁸ : NontriviallyNormedField 𝕜\ninst✝⁷ : NormedAddCommGroup E\ninst✝⁶ : NormedSpace 𝕜 E\ninst✝⁵ : TopologicalSpace H\ninst✝⁴ : TopologicalSpace M\nf f' : LocalHomeomorp... | [
949,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
939,
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Mathlib/GroupTheory/MonoidLocalization.lean | Submonoid.LocalizationMap.sec_spec' | [
{
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"tactic": "rw [mul_comm, sec_spe... | [
610,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
609,
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] |
Mathlib/Algebra/Order/LatticeGroup.lean | LatticeOrderedCommGroup.neg_of_inv_le_one | [] | [
500,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
499,
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] |
Mathlib/CategoryTheory/Limits/Shapes/BinaryProducts.lean | CategoryTheory.Limits.WalkingPair.swap_symm_apply_tt | [] | [
76,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
75,
1
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Std/Data/Int/Lemmas.lean | Int.zero_mul | [] | [
408,
89
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
408,
19
] |
Mathlib/MeasureTheory/Measure/Lebesgue/EqHaar.lean | MeasureTheory.Measure.tendsto_add_haar_inter_smul_zero_of_density_zero_aux1 | [
{
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657,
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608,
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Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.Integrable.inf | [
{
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699,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
696,
1
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Mathlib/Analysis/InnerProductSpace/l2Space.lean | lp.summable_inner | [
{
"state_after": "case refine'_1\nι : Type u_1\n𝕜 : Type u_3\ninst✝⁴ : IsROrC 𝕜\nE : Type ?u.47553\ninst✝³ : NormedAddCommGroup E\ninst✝² : InnerProductSpace 𝕜 E\ncplt : CompleteSpace E\nG : ι → Type u_2\ninst✝¹ : (i : ι) → NormedAddCommGroup (G i)\ninst✝ : (i : ι) → InnerProductSpace 𝕜 (G i)\nf g : { x // ... | [
122,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
116,
1
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Mathlib/LinearAlgebra/QuotientPi.lean | Submodule.piQuotientLift_mk | [
{
"state_after": "ι : Type u_1\nR : Type u_2\ninst✝⁸ : CommRing R\nMs : ι → Type u_3\ninst✝⁷ : (i : ι) → AddCommGroup (Ms i)\ninst✝⁶ : (i : ι) → Module R (Ms i)\nN : Type u_4\ninst✝⁵ : AddCommGroup N\ninst✝⁴ : Module R N\nNs : ι → Type ?u.16262\ninst✝³ : (i : ι) → AddCommGroup (Ns i)\ninst✝² : (i : ι) → Module ... | [
52,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
48,
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Mathlib/Analysis/Calculus/BumpFunctionInner.lean | expNegInvGlue.differentiable_polynomial_eval_inv_mul | [] | [
142,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
140,
1
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Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.lintegral_nnnorm_add_left | [] | [
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Mathlib/AlgebraicGeometry/StructureSheaf.lean | AlgebraicGeometry.StructureSheaf.toBasicOpen_surjective | [
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Mathlib/LinearAlgebra/AffineSpace/AffineEquiv.lean | AffineEquiv.constVAdd_add | [] | [
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Mathlib/RingTheory/Polynomial/Basic.lean | Polynomial.sup_aeval_range_eq_top_of_coprime | [
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Mathlib/Algebra/BigOperators/Basic.lean | Multiset.disjoint_finset_sum_left | [
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src/lean/Init/Core.lean | mt | [] | [
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Mathlib/Topology/Instances/EReal.lean | EReal.continuousAt_add_coe_top | [] | [
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Mathlib/MeasureTheory/Function/LpSeminorm.lean | MeasureTheory.snorm_const_lt_top_iff | [
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Mathlib/Topology/Constructions.lean | ContinuousAt.fst' | [] | [
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Mathlib/LinearAlgebra/Matrix/NonsingularInverse.lean | Matrix.inv_submatrix_equiv | [
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Mathlib/Logic/Basic.lean | ite_ne_right_iff | [
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Mathlib/LinearAlgebra/Dfinsupp.lean | Dfinsupp.sum_mapRange_index.linearMap | [
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Mathlib/Analysis/InnerProductSpace/Adjoint.lean | LinearMap.eq_adjoint_iff_basis_left | [
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Mathlib/Data/Multiset/Basic.lean | Multiset.foldl_induction' | [
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Mathlib/Algebra/Algebra/Basic.lean | NoZeroSMulDivisors.iff_algebraMap_injective | [] | [
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Mathlib/Analysis/InnerProductSpace/PiL2.lean | EuclideanSpace.norm_single | [] | [
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Mathlib/CategoryTheory/Sites/InducedTopology.lean | CategoryTheory.over_forget_locallyCoverDense | [
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Mathlib/Topology/ContinuousFunction/CocompactMap.lean | CocompactMap.isCompact_preimage | [
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Mathlib/GroupTheory/Subgroup/Basic.lean | Subgroup.center_toSubmonoid | [] | [
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Mathlib/Analysis/SpecialFunctions/Trigonometric/InverseDeriv.lean | Real.differentiableWithinAt_arcsin_Iic | [
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Mathlib/LinearAlgebra/Matrix/BilinearForm.lean | BilinForm.toMatrix_compRight | [
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Mathlib/Algebra/GroupPower/Order.lean | one_le_sq_iff | [] | [
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Mathlib/Topology/FiberBundle/Trivialization.lean | Pretrivialization.target_inter_preimage_symm_source_eq | [
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Mathlib/Algebra/Algebra/Operations.lean | Submodule.one_eq_span | [
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Deriv.lean | HasStrictDerivAt.cos | [] | [
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Mathlib/Data/Set/Intervals/Basic.lean | Set.Iic_union_Ioc | [
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Mathlib/LinearAlgebra/Matrix/ToLin.lean | Matrix.toLin'_one | [] | [
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Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.IsLimit.one_lt | [
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Mathlib/Order/LiminfLimsup.lean | Filter.bliminf_sup_le_and_aux_right | [] | [
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Mathlib/GroupTheory/GroupAction/Basic.lean | MulAction.smul_orbit | [] | [
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Mathlib/CategoryTheory/Functor/EpiMono.lean | CategoryTheory.Functor.isSplitEpi_iff | [
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Mathlib/NumberTheory/Liouville/LiouvilleWith.lean | LiouvilleWith.sub_nat | [] | [
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Mathlib/Algebra/Algebra/Unitization.lean | Unitization.fst_inr | [] | [
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Mathlib/Analysis/SpecialFunctions/Exponential.lean | hasStrictFDerivAt_exp_smul_const_of_mem_ball' | [
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Mathlib/Order/Filter/Basic.lean | Filter.push_pull | [
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Mathlib/Order/UpperLower/Basic.lean | lowerClosure_union | [] | [
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Mathlib/Data/MvPolynomial/Basic.lean | MvPolynomial.algHom_ext' | [] | [
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Mathlib/LinearAlgebra/AffineSpace/AffineMap.lean | AffineMap.ext_iff | [] | [
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Mathlib/CategoryTheory/Monoidal/OfHasFiniteProducts.lean | CategoryTheory.monoidalOfHasFiniteProducts.tensorObj | [] | [
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Mathlib/Data/Set/Image.lean | Subtype.exists_set_subtype | [
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Mathlib/GroupTheory/SpecificGroups/Alternating.lean | Equiv.Perm.IsThreeCycle.mem_alternatingGroup | [] | [
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Mathlib/Data/Int/Log.lean | Int.lt_zpow_succ_log_self | [
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Mathlib/Algebra/GroupPower/Order.lean | pow_mono | [
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Mathlib/Topology/Algebra/InfiniteSum/Basic.lean | Function.Surjective.summable_iff_of_hasSum_iff | [] | [
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42
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Mathlib/LinearAlgebra/Dual.lean | Subspace.dualLift_rightInverse | [] | [
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29
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Mathlib/Analysis/SpecialFunctions/Trigonometric/ComplexDeriv.lean | Complex.hasDerivAt_tan | [] | [
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38
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] |
Mathlib/Data/Set/Intervals/ProjIcc.lean | Set.IccExtend_val | [] | [
139,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
138,
1
] |
Mathlib/Analysis/InnerProductSpace/Orthogonal.lean | Submodule.IsOrtho.ge | [] | [
324,
9
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
323,
1
] |
Mathlib/Algebra/CharP/Basic.lean | CharP.char_is_prime | [] | [
570,
76
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
569,
1
] |
Mathlib/Algebra/Group/UniqueProds.lean | UniqueMul.set_subsingleton | [
{
"state_after": "case mk.mk\nG : Type u_1\nH : Type ?u.1533\ninst✝¹ : Mul G\ninst✝ : Mul H\nA✝ B✝ : Finset G\na0✝ b0✝ : G\nA B : Finset G\na0 b0 : G\nh : UniqueMul A B a0 b0\nx1 y1 : G\nhx : x1 ∈ A ∧ y1 ∈ B ∧ x1 * y1 = a0 * b0\nx2 y2 : G\nhy : x2 ∈ A ∧ y2 ∈ B ∧ x2 * y2 = a0 * b0\n⊢ (x1, y1) = (x2, y2)",
"s... | [
79,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
73,
1
] |
Std/Data/Nat/Gcd.lean | Nat.gcd_eq_right_iff_dvd | [
{
"state_after": "m n : Nat\n⊢ m ∣ n ↔ gcd m n = m",
"state_before": "m n : Nat\n⊢ m ∣ n ↔ gcd n m = m",
"tactic": "rw [gcd_comm]"
},
{
"state_after": "no goals",
"state_before": "m n : Nat\n⊢ m ∣ n ↔ gcd m n = m",
"tactic": "exact gcd_eq_left_iff_dvd"
}
] | [
68,
43
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
67,
1
] |
Mathlib/Analysis/NormedSpace/Extr.lean | IsMaxFilter.norm_add_self | [] | [
52,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
50,
1
] |
Mathlib/CategoryTheory/Subobject/FactorThru.lean | CategoryTheory.Subobject.factorThru_comp_arrow | [
{
"state_after": "case h\nC : Type u₁\ninst✝¹ : Category C\nX✝ Y✝ Z : C\nD : Type u₂\ninst✝ : Category D\nX Y : C\nP : Subobject Y\nf : X ⟶ underlying.obj P\nh : Factors P (f ≫ arrow P)\n⊢ factorThru P (f ≫ arrow P) h ≫ arrow P = f ≫ arrow P",
"state_before": "C : Type u₁\ninst✝¹ : Category C\nX✝ Y✝ Z : C\n... | [
146,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
143,
1
] |
Mathlib/Combinatorics/Pigeonhole.lean | Finset.exists_lt_sum_fiber_of_maps_to_of_nsmul_lt_sum | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nM : Type w\ninst✝¹ : DecidableEq β\ns : Finset α\nt : Finset β\nf : α → β\nw : α → M\nb : M\nn : ℕ\ninst✝ : LinearOrderedCancelAddCommMonoid M\nhf : ∀ (a : α), a ∈ s → f a ∈ t\nhb : card t • b < ∑ x in s, w x\n⊢ ∑ i in t, b < ∑ i in t, ∑ ... | [
122,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
120,
1
] |
Mathlib/Order/Hom/Bounded.lean | BoundedOrderHom.copy_eq | [] | [
615,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
614,
1
] |
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