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/Nat/Multiplicity.lean | Nat.Prime.multiplicity_choose_prime_pow | [] | [
247,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
243,
1
] |
Mathlib/Data/Multiset/LocallyFinite.lean | Multiset.map_add_right_Ioo | [
{
"state_after": "α : Type u_1\ninst✝² : OrderedCancelAddCommMonoid α\ninst✝¹ : ExistsAddOfLE α\ninst✝ : LocallyFiniteOrder α\na b c : α\n⊢ map (fun x => c + x) (Ioo a b) = Ioo (c + a) (c + b)",
"state_before": "α : Type u_1\ninst✝² : OrderedCancelAddCommMonoid α\ninst✝¹ : ExistsAddOfLE α\ninst✝ : LocallyFi... | [
326,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
324,
1
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Mathlib/Deprecated/Ring.lean | RingHom.to_isRingHom | [] | [
171,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
170,
1
] |
Mathlib/CategoryTheory/Limits/FullSubcategory.lean | CategoryTheory.Limits.hasColimitsOfShape_of_closed_under_colimits | [] | [
145,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
143,
1
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Mathlib/Algebra/BigOperators/Pi.lean | MonoidHom.functions_ext | [
{
"state_after": "case intro\nI : Type u_1\ninst✝³ : DecidableEq I\nZ : I → Type u_3\ninst✝² : (i : I) → CommMonoid (Z i)\ninst✝¹ : Finite I\nG : Type u_2\ninst✝ : CommMonoid G\ng h : ((i : I) → Z i) →* G\nH : ∀ (i : I) (x : Z i), ↑g (Pi.mulSingle i x) = ↑h (Pi.mulSingle i x)\nval✝ : Fintype I\n⊢ g = h",
"s... | [
94,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
89,
1
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Std/Classes/Order.lean | Std.TransCmp.lt_trans | [] | [
71,
46
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
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1
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Mathlib/Topology/SubsetProperties.lean | isCompact_accumulate | [] | [
422,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
420,
1
] |
Mathlib/Topology/Basic.lean | Continuous.range_subset_closure_image_dense | [
{
"state_after": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.175018\nδ : Type ?u.175021\ninst✝² : TopologicalSpace α\ninst✝¹ : TopologicalSpace β\ninst✝ : TopologicalSpace γ\nκ : Type ?u.175033\nι : Type ?u.175036\nf✝ : κ → β\ng : β → γ\nf : α → β\nhf : Continuous f\ns : Set α\nhs : Dense s\n⊢ f '' closure s ⊆ clo... | [
1821,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1818,
1
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Mathlib/Order/Filter/AtTopBot.lean | Filter.frequently_atTop' | [
{
"state_after": "no goals",
"state_before": "ι : Type ?u.35304\nι' : Type ?u.35307\nα : Type u_1\nβ : Type ?u.35313\nγ : Type ?u.35316\ninst✝² : SemilatticeSup α\ninst✝¹ : Nonempty α\ninst✝ : NoMaxOrder α\np : α → Prop\n⊢ (∀ (i : α), True → ∃ x, x ∈ Ioi i ∧ p x) ↔ ∀ (a : α), ∃ b, b > a ∧ p b",
"tactic"... | [
335,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
333,
1
] |
Mathlib/CategoryTheory/Preadditive/Basic.lean | CategoryTheory.Preadditive.comp_neg | [] | [
162,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
161,
1
] |
Mathlib/MeasureTheory/Function/LpSpace.lean | MeasureTheory.Lp.coe_nnnorm | [] | [
272,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
271,
11
] |
Mathlib/Data/Set/Finite.lean | Set.finite_or_infinite | [] | [
148,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
147,
11
] |
Mathlib/Topology/Algebra/Order/UpperLower.lean | Set.OrdConnected.interior | [
{
"state_after": "α : Type u_1\ninst✝² : TopologicalSpace α\ninst✝¹ : Preorder α\ninst✝ : HasUpperLowerClosure α\ns : Set α\nh : OrdConnected s\n⊢ OrdConnected (interior ↑(upperClosure s) ∩ interior ↑(lowerClosure s))",
"state_before": "α : Type u_1\ninst✝² : TopologicalSpace α\ninst✝¹ : Preorder α\ninst✝ :... | [
116,
100
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
113,
11
] |
Mathlib/RingTheory/PowerSeries/Basic.lean | MvPowerSeries.trunc_one | [
{
"state_after": "σ : Type u_1\nR : Type u_2\ninst✝ : CommSemiring R\nn✝ n : σ →₀ ℕ\nhnn : n ≠ 0\nm : σ →₀ ℕ\n⊢ (if m < n then if m = 0 then 1 else 0 else 0) = MvPolynomial.coeff m 1",
"state_before": "σ : Type u_1\nR : Type u_2\ninst✝ : CommSemiring R\nn✝ n : σ →₀ ℕ\nhnn : n ≠ 0\nm : σ →₀ ℕ\n⊢ MvPolynomial... | [
722,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
708,
1
] |
Mathlib/Topology/MetricSpace/EMetricSpace.lean | EMetric.mem_closure_iff | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nX : Type ?u.222978\ninst✝ : PseudoEMetricSpace α\nx y z : α\nε ε₁ ε₂ : ℝ≥0∞\ns t : Set α\n⊢ (∀ (i : ℝ≥0∞), 0 < i → ∃ y, y ∈ s ∧ y ∈ ball x i) ↔ ∀ (ε : ℝ≥0∞), ε > 0 → ∃ y, y ∈ s ∧ edist x y < ε",
"tactic": "simp only [mem_ball, edist_c... | [
720,
95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
719,
1
] |
Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.isBigOWith_congr | [
{
"state_after": "α : Type u_1\nβ : Type ?u.55712\nE : Type u_2\nF : Type u_3\nG : Type ?u.55721\nE' : Type ?u.55724\nF' : Type ?u.55727\nG' : Type ?u.55730\nE'' : Type ?u.55733\nF'' : Type ?u.55736\nG'' : Type ?u.55739\nR : Type ?u.55742\nR' : Type ?u.55745\n𝕜 : Type ?u.55748\n𝕜' : Type ?u.55751\ninst✝¹² : N... | [
299,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
293,
1
] |
Mathlib/Data/Set/Intervals/OrdConnected.lean | Set.ordConnected_def | [] | [
51,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
50,
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Mathlib/RingTheory/Ideal/QuotientOperations.lean | Ideal.kerLiftAlg_injective | [] | [
306,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
305,
1
] |
Mathlib/Algebra/ContinuedFractions/Basic.lean | GeneralizedContinuedFraction.Pair.coe_toPair | [] | [
94,
90
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
94,
1
] |
Mathlib/RingTheory/Int/Basic.lean | multiplicity.finite_int_iff_natAbs_finite | [
{
"state_after": "no goals",
"state_before": "a b : ℤ\n⊢ Finite a b ↔ Finite (_root_.Int.natAbs a) (_root_.Int.natAbs b)",
"tactic": "simp only [finite_def, ← Int.natAbs_dvd_natAbs, Int.natAbs_pow]"
}
] | [
337,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
336,
1
] |
Mathlib/FieldTheory/RatFunc.lean | RatFunc.mk_def_of_ne | [] | [
223,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
219,
1
] |
Mathlib/MeasureTheory/Integral/SetToL1.lean | MeasureTheory.setToFun_smul_left' | [
{
"state_after": "case pos\nα : Type u_1\nE : Type u_2\nF : Type u_3\nF' : Type ?u.1373587\nG : Type ?u.1373590\n𝕜 : Type ?u.1373593\np : ℝ≥0∞\ninst✝⁷ : NormedAddCommGroup E\ninst✝⁶ : NormedSpace ℝ E\ninst✝⁵ : NormedAddCommGroup F\ninst✝⁴ : NormedSpace ℝ F\ninst✝³ : NormedAddCommGroup F'\ninst✝² : NormedSpace ... | [
1348,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1342,
1
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Mathlib/CategoryTheory/Iso.lean | CategoryTheory.Functor.mapIso_symm | [] | [
603,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
602,
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Mathlib/Data/Multiset/Nodup.lean | Multiset.nodup_attach | [] | [
159,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
158,
1
] |
Mathlib/SetTheory/Ordinal/FixedPoint.lean | Ordinal.deriv_eq_id_of_nfp_eq_id | [
{
"state_after": "no goals",
"state_before": "f✝ : Ordinal → Ordinal\nf : Ordinal → Ordinal\nh : nfp f = id\n⊢ deriv f 0 = id 0 ∧ ∀ (a : Ordinal), deriv f a = id a → deriv f (succ a) = id (succ a)",
"tactic": "simp [h]"
}
] | [
559,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
558,
1
] |
Mathlib/GroupTheory/Submonoid/Membership.lean | Submonoid.closure_induction_right | [] | [
413,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
408,
1
] |
Mathlib/Topology/ContinuousOn.lean | ContinuousWithinAt.snd | [] | [
1297,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1295,
1
] |
Mathlib/Computability/Partrec.lean | Nat.Partrec.of_primrec | [
{
"state_after": "no goals",
"state_before": "f : ℕ → ℕ\nhf : Nat.Primrec f\n⊢ Partrec ↑f",
"tactic": "induction hf with\n| zero => exact zero\n| succ => exact succ\n| left => exact left\n| right => exact right\n| pair _ _ pf pg =>\n refine' (pf.pair pg).of_eq_tot fun n => _\n simp [Seq.seq]\n| comp _... | [
199,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
180,
1
] |
Mathlib/Order/BoundedOrder.lean | bot_le | [] | [
266,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
265,
1
] |
Mathlib/Data/Seq/WSeq.lean | Stream'.WSeq.liftRel_destruct_iff | [
{
"state_after": "α : Type u\nβ : Type v\nγ : Type w\nR : α → β → Prop\ns✝ : WSeq α\nt✝ : WSeq β\nh✝¹ : Computation.LiftRel (LiftRelO R (LiftRel R)) (destruct s✝) (destruct t✝)\ns : WSeq α\nt : WSeq β\nh✝ : (fun s t => LiftRel R s t ∨ Computation.LiftRel (LiftRelO R (LiftRel R)) (destruct s) (destruct t)) s t\n... | [
520,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
506,
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] |
Mathlib/Analysis/Normed/Group/Pointwise.lean | closedBall_one_div_singleton | [
{
"state_after": "no goals",
"state_before": "E : Type u_1\ninst✝ : SeminormedCommGroup E\nε δ : ℝ\ns t : Set E\nx y : E\n⊢ closedBall 1 δ / {x} = closedBall x⁻¹ δ",
"tactic": "simp"
}
] | [
197,
90
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
197,
1
] |
Mathlib/GroupTheory/SchurZassenhaus.lean | Subgroup.smul_diff_smul' | [
{
"state_after": "G : Type u_1\ninst✝² : Group G\nH : Subgroup G\ninst✝¹ : IsCommutative H\ninst✝ : FiniteIndex H\nα β : ↑(leftTransversals ↑H)\nhH : Normal H\ng : Gᵐᵒᵖ\nthis : Fintype (G ⧸ H) := fintypeQuotientOfFiniteIndex H\n⊢ diff (MonoidHom.id { x // x ∈ H }) (g • α) (g • β) =\n { val := (unop g)⁻¹ * ↑(... | [
72,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
53,
1
] |
Mathlib/CategoryTheory/Bicategory/Basic.lean | CategoryTheory.Bicategory.pentagon_inv_inv_hom_inv_inv | [
{
"state_after": "no goals",
"state_before": "B : Type u\ninst✝ : Bicategory B\na b c d e : B\nf : a ⟶ b\ng : b ⟶ c\nh : c ⟶ d\ni : d ⟶ e\n⊢ inv ((α_ f g (h ≫ i)).inv ≫ (α_ (f ≫ g) h i).inv ≫ (α_ f g h).hom ▷ i) =\n inv (f ◁ (α_ g h i).inv ≫ (α_ f (g ≫ h) i).inv)",
"tactic": "simp"
}
] | [
318,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
315,
1
] |
Mathlib/CategoryTheory/Extensive.lean | CategoryTheory.NatTrans.Equifibered.comp | [] | [
77,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
75,
1
] |
Mathlib/Algebra/Ring/Equiv.lean | RingEquiv.toNonUnitalRingHom_injective | [] | [
604,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
602,
1
] |
Mathlib/MeasureTheory/Integral/Bochner.lean | MeasureTheory.SimpleFunc.integral_const | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nE : Type ?u.116296\nF : Type u_2\n𝕜 : Type ?u.116302\ninst✝⁵ : NormedAddCommGroup E\ninst✝⁴ : NormedAddCommGroup F\ninst✝³ : NormedSpace ℝ F\np : ℝ≥0∞\nG : Type ?u.116404\nF' : Type ?u.116407\ninst✝² : NormedAddCommGroup G\ninst✝¹ : NormedAddCommG... | [
353,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
347,
1
] |
Mathlib/Algebra/Algebra/Subalgebra/Basic.lean | Subalgebra.coe_neg | [] | [
401,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
400,
11
] |
Mathlib/Data/Finset/NAry.lean | Finset.card_image₂ | [] | [
70,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
68,
1
] |
Std/Data/Int/DivMod.lean | Int.emod_self | [
{
"state_after": "a : Int\nthis : 1 * a % a = 0\n⊢ a % a = 0",
"state_before": "a : Int\n⊢ a % a = 0",
"tactic": "have := mul_emod_left 1 a"
},
{
"state_after": "no goals",
"state_before": "a : Int\nthis : 1 * a % a = 0\n⊢ a % a = 0",
"tactic": "rwa [Int.one_mul] at this"
}
] | [
486,
55
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
485,
15
] |
Mathlib/MeasureTheory/Constructions/Prod/Basic.lean | MeasureTheory.Measure.sum_prod | [
{
"state_after": "α : Type u_2\nα' : Type ?u.4494925\nβ : Type u_3\nβ' : Type ?u.4494931\nγ : Type ?u.4494934\nE : Type ?u.4494937\ninst✝⁹ : MeasurableSpace α\ninst✝⁸ : MeasurableSpace α'\ninst✝⁷ : MeasurableSpace β\ninst✝⁶ : MeasurableSpace β'\ninst✝⁵ : MeasurableSpace γ\nμ✝ μ' : Measure α\nν ν' : Measure β\nτ... | [
580,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
577,
1
] |
Mathlib/MeasureTheory/Constructions/Prod/Basic.lean | MeasureTheory.lintegral_prod_symm' | [] | [
777,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
775,
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] |
Mathlib/Algebra/Order/Kleene.lean | mul_kstar_le | [] | [
223,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
222,
1
] |
Mathlib/Order/Filter/AtTopBot.lean | Filter.map_val_atTop_of_Ici_subset | [
{
"state_after": "ι : Type ?u.314713\nι' : Type ?u.314716\nα : Type u_1\nβ : Type ?u.314722\nγ : Type ?u.314725\ninst✝ : SemilatticeSup α\na : α\ns : Set α\nh : Ici a ⊆ s\nthis : Nonempty ↑s\n⊢ map Subtype.val atTop = atTop",
"state_before": "ι : Type ?u.314713\nι' : Type ?u.314716\nα : Type u_1\nβ : Type ?... | [
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94
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1520,
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Mathlib/Data/Polynomial/IntegralNormalization.lean | Polynomial.integralNormalization_coeff_natDegree | [] | [
71,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
69,
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] |
Mathlib/Analysis/Calculus/Series.lean | tendstoUniformly_tsum | [
{
"state_after": "α : Type u_1\nβ : Type u_3\n𝕜 : Type ?u.6502\nE : Type ?u.6505\nF : Type u_2\ninst✝⁴ : IsROrC 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : CompleteSpace F\nu : α → ℝ\nf : α → β → F\nhu : Summable u\nhfu : ∀ (n : α) (x : β), ‖f n x‖ ≤ u n... | [
69,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
67,
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Mathlib/Topology/UniformSpace/Equiv.lean | UniformEquiv.image_symm | [] | [
224,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
223,
1
] |
Mathlib/Combinatorics/SimpleGraph/Basic.lean | SimpleGraph.IsRegularOfDegree.top | [
{
"state_after": "ι : Sort ?u.287669\n𝕜 : Type ?u.287672\nV : Type u\nW : Type v\nX : Type w\nG : SimpleGraph V\nG' : SimpleGraph W\na b c u v✝ w : V\ne : Sym2 V\ninst✝¹ : Fintype V\ninst✝ : DecidableEq V\nv : V\n⊢ degree ⊤ v = Fintype.card V - 1",
"state_before": "ι : Sort ?u.287669\n𝕜 : Type ?u.287672\n... | [
1502,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1499,
1
] |
Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasurableEquiv.quasiMeasurePreserving_symm | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.3211462\nδ : Type ?u.3211465\nι : Type ?u.3211468\nR : Type ?u.3211471\nR' : Type ?u.3211474\ninst✝¹ : MeasurableSpace α\ninst✝ : MeasurableSpace β\nμ✝ : MeasureTheory.Measure α\nν : MeasureTheory.Measure β\nμ : MeasureThe... | [
4328,
99
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
4326,
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Std/Control/ForInStep/Lemmas.lean | ForInStep.bind_done | [] | [
11,
63
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10,
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Mathlib/Dynamics/Circle/RotationNumber/TranslationNumber.lean | CircleDeg1Lift.le_map_of_map_zero | [] | [
493,
40
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490,
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Mathlib/Algebra/Order/Group/Abs.lean | abs_nonneg | [] | [
174,
48
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172,
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Mathlib/GroupTheory/GroupAction/Group.lean | Equiv.Perm.smul_def | [] | [
101,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
100,
11
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Mathlib/Algebra/Order/Group/MinMax.lean | abs_max_sub_max_le_abs | [
{
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] | [
108,
41
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Mathlib/GroupTheory/Subgroup/Basic.lean | Subgroup.pi_empty | [
{
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Mathlib/MeasureTheory/Integral/DivergenceTheorem.lean | MeasureTheory.integral_divergence_of_hasFDerivWithinAt_off_countable | [
{
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298,
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Mathlib/LinearAlgebra/AffineSpace/Midpoint.lean | midpoint_unique | [] | [
195,
56
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean | Real.Angle.sin_add_pi_div_two | [
{
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451,
34
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Mathlib/Geometry/Euclidean/Angle/Unoriented/Basic.lean | InnerProductGeometry.continuousAt_angle | [
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27
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Mathlib/Topology/VectorBundle/Basic.lean | VectorBundleCore.localTrivAt_def | [] | [
743,
6
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Mathlib/Computability/RegularExpressions.lean | RegularExpression.star_rmatch_iff | [
{
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349,
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Mathlib/Algebra/GroupPower/Order.lean | pow_le_one | [] | [
426,
86
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424,
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Mathlib/Data/Set/Intervals/Basic.lean | Set.Icc_union_Ioo_eq_Ico | [] | [
1576,
29
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1573,
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Mathlib/LinearAlgebra/Matrix/ToLin.lean | Algebra.toMatrix_lmul_eq | [] | [
906,
6
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Mathlib/Analysis/NormedSpace/WeakDual.lean | NormedSpace.Dual.dual_norm_topology_le_weak_dual_topology | [
{
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150,
24
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Mathlib/RingTheory/JacobsonIdeal.lean | Ideal.le_jacobson | [] | [
67,
88
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Mathlib/Algebra/Order/UpperLower.lean | UpperSet.one_mul | [
{
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185,
59
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Mathlib/Data/Int/Units.lean | Int.ofNat_isUnit | [
{
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30
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100,
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Mathlib/Data/List/Sigma.lean | List.lookupAll_sublist | [
{
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{
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43
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Mathlib/Algebra/Ring/Units.lean | Units.sub_divp | [
{
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] | [
80,
56
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Mathlib/LinearAlgebra/Matrix/ZPow.lean | Matrix.transpose_zpow | [
{
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{
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340,
87
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Mathlib/Topology/Basic.lean | nhds_basis_opens' | [
{
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Mathlib/RingTheory/FinitePresentation.lean | Algebra.FinitePresentation.mvPolynomial_of_finitePresentation | [
{
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208,
36
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Mathlib/SetTheory/Game/PGame.lean | PGame.star_fuzzy_zero | [
{
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{
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1873,
15
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1865,
1
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Std/Data/Array/Lemmas.lean | Array.getElem?_eq_getElem | [] | [
48,
18
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47,
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Mathlib/Data/MvPolynomial/Basic.lean | MvPolynomial.coeff_mul_monomial | [] | [
708,
75
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706,
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Mathlib/Data/Int/Bitwise.lean | Int.shiftl_sub | [] | [
430,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
429,
1
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Mathlib/Data/Multiset/Basic.lean | Multiset.quot_mk_to_coe' | [] | [
50,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
49,
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Mathlib/RingTheory/DiscreteValuationRing/Basic.lean | DiscreteValuationRing.addVal_mul | [] | [
439,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
437,
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Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.isBigO_const_const_iff | [
{
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Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometryEquiv.symm_comp_self | [] | [
838,
28
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Mathlib/CategoryTheory/Monoidal/Functor.lean | CategoryTheory.MonoidalFunctor.μ_inv_hom_id | [] | [
246,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
245,
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Mathlib/Control/Fold.lean | Traversable.foldl_toList | [
{
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360,
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Mathlib/MeasureTheory/Function/SimpleFuncDenseLp.lean | MeasureTheory.SimpleFunc.integrable_approxOn | [
{
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252,
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Mathlib/CategoryTheory/Monoidal/Free/Coherence.lean | CategoryTheory.FreeMonoidalCategory.normalizeIsoApp_unitor | [] | [
207,
6
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206,
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Mathlib/Analysis/Calculus/Deriv/Basic.lean | derivWithin_subset | [] | [
499,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
497,
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Mathlib/Logic/Equiv/LocalEquiv.lean | LocalEquiv.IsImage.union | [] | [
444,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
443,
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Mathlib/Data/Part.lean | Part.mem_some | [] | [
168,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
167,
1
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Mathlib/Topology/Instances/ENNReal.lean | ENNReal.continuousOn_sub_left | [
{
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462,
22
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458,
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Mathlib/Data/Set/Intervals/OrderIso.lean | OrderIso.image_Ici | [] | [
76,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.inductionOn₂ | [] | [
135,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
133,
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Mathlib/GroupTheory/Sylow.lean | not_dvd_index_sylow | [
{
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456,
53
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Mathlib/Topology/Inseparable.lean | Inseparable.specializes' | [] | [
279,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
279,
1
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Mathlib/Order/RelIso/Basic.lean | RelEmbedding.isIrrefl | [] | [
339,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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11
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Mathlib/Combinatorics/Additive/SalemSpencer.lean | MulSalemSpencer.prod | [] | [
105,
93
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
103,
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Mathlib/Order/UpperLower/Basic.lean | LowerSet.mem_map | [
{
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1022,
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1020,
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Mathlib/Topology/LocalHomeomorph.lean | LocalHomeomorph.refl_trans | [] | [
865,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
864,
1
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Mathlib/Order/CompleteLattice.lean | sSup_image2 | [
{
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1613,
99
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/IsROrC/Basic.lean | IsROrC.is_real_TFAE | [
{
"state_after": "case tfae_1_to_4\nK : Type u_1\nE : Type ?u.3632144\ninst✝ : IsROrC K\nz : K\n⊢ ↑(starRingEnd K) z = z → ↑im z = 0\n\nK : Type u_1\nE : Type ?u.3632144\ninst✝ : IsROrC K\nz : K\ntfae_1_to_4 : ↑(starRingEnd K) z = z → ↑im z = 0\n⊢ TFAE [↑(starRingEnd K) z = z, ∃ r, ↑r = z, ↑(↑re z) = z, ↑im z =... | [
421,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
411,
1
] |
Mathlib/CategoryTheory/Monoidal/Braided.lean | CategoryTheory.braiding_leftUnitor_aux₂ | [
{
"state_after": "no goals",
"state_before": "C : Type u₁\ninst✝² : Category C\ninst✝¹ : MonoidalCategory C\ninst✝ : BraidedCategory C\nX : C\n⊢ ((β_ X (𝟙_ C)).hom ⊗ 𝟙 (𝟙_ C)) ≫ ((λ_ X).hom ⊗ 𝟙 (𝟙_ C)) =\n ((β_ X (𝟙_ C)).hom ⊗ 𝟙 (𝟙_ C)) ≫ (α_ (𝟙_ C) X (𝟙_ C)).hom ≫ (α_ (𝟙_ C) X (𝟙_ C)).inv ≫ ... | [
167,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
150,
1
] |
Mathlib/Data/MvPolynomial/Expand.lean | MvPolynomial.expand_one_apply | [
{
"state_after": "no goals",
"state_before": "σ : Type u_1\nτ : Type ?u.111976\nR : Type u_2\nS : Type ?u.111982\ninst✝¹ : CommSemiring R\ninst✝ : CommSemiring S\nf : MvPolynomial σ R\n⊢ ↑(expand 1) f = f",
"tactic": "simp only [expand, pow_one, eval₂Hom_eq_bind₂, bind₂_C_left, RingHom.toMonoidHom_eq_co... | [
60,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
58,
1
] |
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