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/Topology/Maps.lean | OpenEmbedding.open_iff_preimage_open | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.239202\nδ : Type ?u.239205\ninst✝² : TopologicalSpace α\ninst✝¹ : TopologicalSpace β\ninst✝ : TopologicalSpace γ\nf : α → β\nhf : OpenEmbedding f\ns : Set β\nhs : s ⊆ range f\n⊢ IsOpen s ↔ IsOpen (f ⁻¹' s)",
"tactic": ... | [
583,
94
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
581,
1
] |
Mathlib/Order/Filter/Lift.lean | Filter.mem_lift_sets | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.8191\nι : Sort ?u.8194\nf f₁ f₂ : Filter α\ng g₁ g₂ : Set α → Filter β\nhg : Monotone g\ns : Set β\n⊢ (∃ i, i ∈ f ∧ ∃ x, x ∈ g i ∧ id x ⊆ s) ↔ ∃ t, t ∈ f ∧ s ∈ g t",
"tactic": "simp only [id, exists_mem_subset_iff]"
... | [
76,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
74,
1
] |
Mathlib/Algebra/Lie/Solvable.lean | LieHom.isSolvable_range | [] | [
247,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
245,
1
] |
Mathlib/Analysis/Complex/Basic.lean | Complex.hasSum_conj' | [] | [
579,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
578,
1
] |
Mathlib/LinearAlgebra/Dfinsupp.lean | Submodule.dfinsupp_sum_mem | [] | [
310,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
307,
1
] |
Mathlib/Topology/MetricSpace/ThickenedIndicator.lean | indicator_le_thickenedIndicator | [
{
"state_after": "α : Type u_1\ninst✝ : PseudoEMetricSpace α\nδ : ℝ\nδ_pos : 0 < δ\nE : Set α\na : α\n⊢ indicator E (fun x => 1) a ≤ ↑(thickenedIndicator δ_pos E) a",
"state_before": "α : Type u_1\ninst✝ : PseudoEMetricSpace α\nδ : ℝ\nδ_pos : 0 < δ\nE : Set α\n⊢ (indicator E fun x => 1) ≤ ↑(thickenedIndicat... | [
217,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
212,
1
] |
Mathlib/Topology/VectorBundle/Basic.lean | Pretrivialization.linearMapAt_def_of_mem | [] | [
141,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
139,
1
] |
Mathlib/Analysis/Complex/Basic.lean | Complex.ringHom_eq_id_or_conj_of_continuous | [
{
"state_after": "no goals",
"state_before": "E : Type ?u.690001\ninst✝¹ : NormedAddCommGroup E\ninst✝ : NormedSpace ℂ E\nf : ℂ →+* ℂ\nhf : Continuous ↑f\n⊢ f = RingHom.id ℂ ∨ f = starRingEnd ℂ",
"tactic": "simpa only [FunLike.ext_iff] using real_algHom_eq_id_or_conj (AlgHom.mk' f (map_real_smul f hf))"... | [
359,
99
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
357,
1
] |
Mathlib/Data/Sum/Interval.lean | Finset.inl_mem_sumLift₂ | [
{
"state_after": "α₁ : Type u_3\nα₂ : Type u_4\nβ₁ : Type u_5\nβ₂ : Type u_6\nγ₁ : Type u_2\nγ₂ : Type u_1\nf f₁ g₁ : α₁ → β₁ → Finset γ₁\ng f₂ g₂ : α₂ → β₂ → Finset γ₂\na : α₁ ⊕ α₂\nb : β₁ ⊕ β₂\nc : γ₁ ⊕ γ₂\nc₁ : γ₁\n⊢ (∃ a₁ b₁ c₁_1, a = inl a₁ ∧ b = inl b₁ ∧ inl c₁ = inl c₁_1 ∧ c₁_1 ∈ f a₁ b₁) ↔\n ∃ a₁ b₁,... | [
70,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
65,
1
] |
Mathlib/Algebra/Ring/Equiv.lean | RingEquiv.comp_symm | [] | [
554,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
553,
1
] |
Mathlib/Data/Nat/Order/Basic.lean | Nat.bit0_le_bit1_iff | [
{
"state_after": "no goals",
"state_before": "m n k l : ℕ\nh : bit0 m ≤ bit1 n\n⊢ m ≤ n",
"tactic": "rwa [← Nat.lt_succ_iff, n.bit1_eq_succ_bit0,\n← n.bit0_succ_eq, bit0_lt_bit0, Nat.lt_succ_iff] at h"
}
] | [
724,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
720,
1
] |
Mathlib/Analysis/Normed/Field/UnitBall.lean | coe_zpow_unitSphere | [] | [
153,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
151,
1
] |
Mathlib/MeasureTheory/Integral/CircleIntegral.lean | hasDerivAt_circleMap | [
{
"state_after": "no goals",
"state_before": "E : Type ?u.21873\ninst✝ : NormedAddCommGroup E\nc : ℂ\nR θ : ℝ\n⊢ HasDerivAt (circleMap c R) (circleMap 0 R θ * I) θ",
"tactic": "simpa only [mul_assoc, one_mul, ofRealClm_apply, circleMap, ofReal_one, zero_add]\n using (((ofRealClm.hasDerivAt (x := θ)).mu... | [
178,
93
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
175,
1
] |
Mathlib/Algebra/Module/LinearMap.lean | Module.End.intCast_def | [] | [
1245,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1243,
1
] |
Mathlib/Algebra/Free.lean | FreeSemigroup.map_mul' | [] | [
603,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
602,
1
] |
Std/Data/Rat/Lemmas.lean | Rat.normalize_eq_iff | [
{
"state_after": "case mp\nd₁ d₂ : Nat\nn₁ n₂ : Int\nz₁ : d₁ ≠ 0\nz₂ : d₂ ≠ 0\nh : normalize n₁ d₁ = normalize n₂ d₂\n⊢ n₁ * ↑d₂ = n₂ * ↑d₁\n\ncase mpr\nd₁ d₂ : Nat\nn₁ n₂ : Int\nz₁ : d₁ ≠ 0\nz₂ : d₂ ≠ 0\nh : n₁ * ↑d₂ = n₂ * ↑d₁\n⊢ normalize n₁ d₁ = normalize n₂ d₂",
"state_before": "d₁ d₂ : Nat\nn₁ n₂ : In... | [
58,
84
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
46,
1
] |
Mathlib/Data/ZMod/Basic.lean | ZMod.addOrderOf_coe' | [
{
"state_after": "no goals",
"state_before": "a n : ℕ\na0 : a ≠ 0\n⊢ addOrderOf ↑a = n / Nat.gcd n a",
"tactic": "rw [← Nat.smul_one_eq_coe, addOrderOf_nsmul' _ a0, ZMod.addOrderOf_one]"
}
] | [
121,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
120,
1
] |
Mathlib/Data/Set/Pointwise/Interval.lean | Set.preimage_neg_Ico | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝ : OrderedAddCommGroup α\na b c : α\n⊢ -Ico a b = Ioc (-b) (-a)",
"tactic": "simp [← Ici_inter_Iio, ← Ioi_inter_Iic, inter_comm]"
}
] | [
158,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
157,
1
] |
Mathlib/GroupTheory/Perm/Cycle/Basic.lean | Equiv.Perm.isCycleOn_inv | [
{
"state_after": "ι : Type ?u.1642783\nα : Type u_1\nβ : Type ?u.1642789\nf g : Perm α\ns t : Set α\na b x y : α\n⊢ (∀ ⦃x : α⦄, x ∈ s → ∀ ⦃y : α⦄, y ∈ s → SameCycle f x y) → (Set.BijOn (↑f⁻¹) s s ↔ Set.BijOn (↑f) s s)",
"state_before": "ι : Type ?u.1642783\nα : Type u_1\nβ : Type ?u.1642789\nf g : Perm α\ns... | [
782,
77
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
780,
1
] |
src/lean/Init/Data/List/Basic.lean | List.mem_of_elem_eq_true | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nγ : Type w\ninst✝ : DecidableEq α\na : α\nas : List α\n⊢ elem a as = true → a ∈ as",
"tactic": "match as with\n| [] => simp [elem]\n| a'::as =>\n simp [elem]\n split\n next h => intros; simp [BEq.beq] at h; subst h; apply Mem.head\... | [
366,
64
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
359,
1
] |
Mathlib/GroupTheory/Perm/Cycle/Basic.lean | Equiv.Perm.cycleFactorsFinset_injective | [
{
"state_after": "ι : Type ?u.2756283\nα : Type u_1\nβ : Type ?u.2756289\ninst✝¹ : DecidableEq α\ninst✝ : Fintype α\nf✝ f g : Perm α\nh : cycleFactorsFinset f = cycleFactorsFinset g\n⊢ f = g",
"state_before": "ι : Type ?u.2756283\nα : Type u_1\nβ : Type ?u.2756289\ninst✝¹ : DecidableEq α\ninst✝ : Fintype α\... | [
1474,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1471,
1
] |
Mathlib/Tactic/Ring/Basic.lean | Mathlib.Tactic.Ring.add_pf_add_zero | [
{
"state_after": "no goals",
"state_before": "u : Lean.Level\nR : Type u_1\nα : Q(Type u)\nsα : Q(CommSemiring «$α»)\ninst✝ : CommSemiring R\na : R\n⊢ a + 0 = a",
"tactic": "simp"
}
] | [
311,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
311,
1
] |
Mathlib/Data/Polynomial/Basic.lean | Polynomial.X_pow_mul_assoc_C | [] | [
611,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
610,
1
] |
Mathlib/Analysis/Complex/CauchyIntegral.lean | DiffContOnCl.circleIntegral_sub_inv_smul | [] | [
518,
73
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
514,
1
] |
Mathlib/Order/GaloisConnection.lean | OrderIso.bddBelow_image | [] | [
438,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
437,
1
] |
Mathlib/MeasureTheory/Integral/Lebesgue.lean | MeasureTheory.lintegral_iSup_ae | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.976729\nγ : Type ?u.976732\nδ : Type ?u.976735\nm : MeasurableSpace α\nμ ν : Measure α\nf : ℕ → α → ℝ≥0∞\nhf : ∀ (n : ℕ), Measurable (f n)\nh_mono : ∀ (n : ℕ), ∀ᵐ (a : α) ∂μ, f n a ≤ f (Nat.succ n) a\ns : Set α\nhs : {a | ¬∀ (i : ℕ), f ... | [
907,
97
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
892,
1
] |
Mathlib/Algebra/Order/Pointwise.lean | sSup_one | [] | [
46,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
45,
1
] |
Mathlib/GroupTheory/Subgroup/Basic.lean | Subgroup.map_inf_eq | [
{
"state_after": "G : Type u_1\nG' : Type ?u.278868\ninst✝⁴ : Group G\ninst✝³ : Group G'\nA : Type ?u.278877\ninst✝² : AddGroup A\nH✝ K✝ : Subgroup G\nk : Set G\nN : Type u_2\ninst✝¹ : Group N\nP : Type ?u.278904\ninst✝ : Group P\nH K : Subgroup G\nf : G →* N\nhf : Injective ↑f\n⊢ ↑(map f (H ⊓ K)) = ↑(map f H ⊓... | [
1558,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1555,
1
] |
Mathlib/Data/String/Basic.lean | String.nil_asString_eq_empty | [] | [
128,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
127,
1
] |
Mathlib/Topology/MetricSpace/Contracting.lean | ContractingWith.edist_inequality | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝ : EMetricSpace α\ncs : CompleteSpace α\nK : ℝ≥0\nf : α → α\nhf : ContractingWith K f\nx y : α\nh : edist x y ≠ ⊤\nthis : edist x y ≤ edist x (f x) + edist y (f y) + ↑K * edist x y\n⊢ edist x y ≤ (edist x (f x) + edist y (f y)) / (1 - ↑K)",
... | [
77,
86
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
69,
1
] |
Mathlib/Algebra/Algebra/Spectrum.lean | spectrum.one_eq | [
{
"state_after": "no goals",
"state_before": "𝕜 : Type u\nA : Type v\ninst✝³ : Field 𝕜\ninst✝² : Ring A\ninst✝¹ : Algebra 𝕜 A\ninst✝ : Nontrivial A\n⊢ σ 1 = σ (↑↑ₐ 1)",
"tactic": "rw [Algebra.algebraMap_eq_smul_one, one_smul]"
}
] | [
354,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
351,
1
] |
Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean | Real.cos_int_mul_two_pi_sub | [] | [
381,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
380,
1
] |
Mathlib/Data/MvPolynomial/Rename.lean | MvPolynomial.eval₂_rename_prod_mk | [
{
"state_after": "case h_X\nσ : Type u_1\nτ : Type u_2\nα : Type ?u.631040\nR : Type u_3\nS : Type u_4\ninst✝¹ : CommSemiring R\ninst✝ : CommSemiring S\nf : R →+* S\nk : σ → τ\ng✝ : τ → S\np✝¹ : MvPolynomial σ R\ng : σ × τ → S\ni : σ\np p✝ : MvPolynomial τ R\nn✝ : τ\na✝ : eval₂ f g (↑(rename (Prod.mk i)) p✝) = ... | [
220,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
216,
1
] |
Mathlib/Analysis/Calculus/Monotone.lean | MonotoneOn.ae_differentiableWithinAt_of_mem | [
{
"state_after": "case h\nf : ℝ → ℝ\ns : Set ℝ\nhf : MonotoneOn f s\n⊢ ∀ (a b : ℝ), a ∈ s → b ∈ s → a < b → ∀ᵐ (x : ℝ), x ∈ s ∩ Ioo a b → DifferentiableWithinAt ℝ f s x",
"state_before": "f : ℝ → ℝ\ns : Set ℝ\nhf : MonotoneOn f s\n⊢ ∀ᵐ (x : ℝ), x ∈ s → DifferentiableWithinAt ℝ f s x",
"tactic": "apply a... | [
246,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
230,
1
] |
Mathlib/RingTheory/Ideal/Over.lean | Ideal.isMaximal_of_isIntegral_of_isMaximal_comap' | [] | [
269,
78
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
267,
1
] |
Mathlib/RingTheory/GradedAlgebra/HomogeneousLocalization.lean | HomogeneousLocalization.val_mk'' | [] | [
319,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
317,
1
] |
Mathlib/MeasureTheory/Integral/SetToL1.lean | MeasureTheory.setToFun_measure_zero | [
{
"state_after": "α : Type u_1\nE : Type u_2\nF : Type u_3\nF' : Type ?u.1489190\nG : Type ?u.1489193\n𝕜 : Type ?u.1489196\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 ℝ F'\ninst... | [
1436,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1433,
1
] |
Mathlib/Order/BoundedOrder.lean | Pi.bot_apply | [] | [
634,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
633,
1
] |
Mathlib/Data/Complex/Basic.lean | Complex.AbsTheory.abs_add | [
{
"state_after": "z w : ℂ\n⊢ (z * ↑(starRingEnd ℂ) w).re ≤ Real.sqrt (↑normSq (z * ↑(starRingEnd ℂ) w))",
"state_before": "z w : ℂ\n⊢ Real.sqrt (↑normSq (z + w)) * Real.sqrt (↑normSq (z + w)) ≤\n (Real.sqrt (↑normSq z) + Real.sqrt (↑normSq w)) * (Real.sqrt (↑normSq z) + Real.sqrt (↑normSq w))",
"tact... | [
932,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
926,
9
] |
Mathlib/LinearAlgebra/AffineSpace/AffineEquiv.lean | AffineMap.lineMap_vadd | [] | [
635,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
633,
1
] |
Mathlib/CategoryTheory/Monoidal/OfHasFiniteProducts.lean | CategoryTheory.monoidalOfHasFiniteCoproducts.rightUnitor_inv | [] | [
206,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
205,
1
] |
Mathlib/Data/Real/Hyperreal.lean | Hyperreal.lt_of_pos_of_infinitesimal | [] | [
669,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
668,
1
] |
Mathlib/NumberTheory/PellMatiyasevic.lean | Pell.isPell_iff_mem_unitary | [
{
"state_after": "no goals",
"state_before": "d x y : ℤ\n⊢ IsPell { re := x, im := y } ↔ { re := x, im := y } ∈ unitary (ℤ√d)",
"tactic": "rw [unitary.mem_iff, isPell_norm, mul_comm (star _), and_self_iff]"
}
] | [
77,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
76,
1
] |
Mathlib/MeasureTheory/Measure/Lebesgue/Integral.lean | volume_regionBetween_eq_integral | [] | [
44,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
40,
1
] |
Mathlib/Analysis/SpecialFunctions/Log/Basic.lean | Real.log_exp | [] | [
82,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
81,
1
] |
Std/Logic.lean | Decidable.not_imp_comm | [] | [
538,
31
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
537,
1
] |
Mathlib/MeasureTheory/PiSystem.lean | isPiSystem_image_Ioi | [] | [
148,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
147,
1
] |
Mathlib/Data/PFunctor/Univariate/M.lean | PFunctor.M.dest_mk | [
{
"state_after": "no goals",
"state_before": "F : PFunctor\nX : Type ?u.14808\nf : X → Obj F X\nx : Obj F (M F)\n⊢ dest (M.mk x) = x",
"tactic": "rfl"
}
] | [
336,
65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
336,
1
] |
Mathlib/Topology/MetricSpace/Infsep.lean | Set.einfsep_pos_of_finite | [
{
"state_after": "case intro\nα : Type u_1\nβ : Type ?u.51801\ninst✝¹ : EMetricSpace α\nx y z : α\ns t : Set α\nC : ℝ≥0∞\nsC : Set ℝ≥0∞\ninst✝ : Finite ↑s\nval✝ : Fintype ↑s\n⊢ 0 < einfsep s",
"state_before": "α : Type u_1\nβ : Type ?u.51801\ninst✝¹ : EMetricSpace α\nx y z : α\ns t : Set α\nC : ℝ≥0∞\nsC : S... | [
302,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
296,
1
] |
Mathlib/Data/Num/Lemmas.lean | PosNum.dvd_to_nat | [] | [
565,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
564,
1
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Mathlib/Algebra/BigOperators/Order.lean | Finset.card_le_card_biUnion_add_one | [] | [
391,
97
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
387,
1
] |
Mathlib/Topology/Algebra/Order/IntermediateValue.lean | IsPreconnected.Iio_csSup_subset | [] | [
273,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
271,
1
] |
Mathlib/MeasureTheory/Integral/IntervalIntegral.lean | IntervalIntegrable.div_const | [
{
"state_after": "no goals",
"state_before": "ι : Type ?u.6837341\n𝕜✝ : Type ?u.6837344\nE : Type ?u.6837347\nF : Type ?u.6837350\nA : Type ?u.6837353\ninst✝² : NormedAddCommGroup E\ninst✝¹ : NormedRing A\nf✝ g : ℝ → E\na b : ℝ\nμ : MeasureTheory.Measure ℝ\n𝕜 : Type u_1\nf : ℝ → 𝕜\ninst✝ : NormedField 𝕜... | [
291,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
289,
1
] |
Mathlib/Topology/Instances/NNReal.lean | NNReal.summable_comp_injective | [
{
"state_after": "α : Type u_2\nβ : Type u_1\nf : α → ℝ≥0\nhf : Summable fun a => ↑(f a)\ni : β → α\nhi : Function.Injective i\n⊢ Summable fun a => ↑((f ∘ i) a)",
"state_before": "α : Type u_2\nβ : Type u_1\nf : α → ℝ≥0\nhf : Summable f\ni : β → α\nhi : Function.Injective i\n⊢ Summable (f ∘ i)",
"tactic... | [
205,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
202,
1
] |
Mathlib/Data/Polynomial/Div.lean | Polynomial.mul_divByMonic_eq_iff_isRoot | [
{
"state_after": "no goals",
"state_before": "R : Type u\nS : Type v\nT : Type w\nA : Type z\na b : R\nn : ℕ\ninst✝ : CommRing R\np q : R[X]\nh : (X - ↑C a) * (p /ₘ (X - ↑C a)) = p\n⊢ IsRoot p a",
"tactic": "rw [← h, IsRoot.def, eval_mul, eval_sub, eval_X, eval_C, sub_self, MulZeroClass.zero_mul]"
},
... | [
447,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
441,
1
] |
Mathlib/Analysis/Asymptotics/AsymptoticEquivalent.lean | Asymptotics.IsEquivalent.exists_eq_mul | [] | [
211,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
209,
1
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Mathlib/Data/Finsupp/Multiset.lean | Finsupp.toMultiset_symm_apply | [
{
"state_after": "α : Type u_1\nβ : Type ?u.8631\nι : Type ?u.8634\ninst✝ : DecidableEq α\ns : Multiset α\nx : α\nthis : ↑(↑(AddEquiv.symm toMultiset) s) x = ↑(Equiv.invFun toMultiset.toEquiv s) x\n⊢ ↑(↑(AddEquiv.symm toMultiset) s) x = Multiset.count x s",
"state_before": "α : Type u_1\nβ : Type ?u.8631\nι... | [
66,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
61,
1
] |
Mathlib/Data/Finset/Basic.lean | Finset.coe_ssubset | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.10650\nγ : Type ?u.10653\ns t s₁ s₂ : Finset α\n⊢ ↑s₁ ⊂ ↑s₂ ↔ s₁ ⊆ s₂ ∧ ¬s₂ ⊆ s₁",
"tactic": "simp only [Set.ssubset_def, Finset.coe_subset]"
}
] | [
415,
96
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
414,
1
] |
Mathlib/MeasureTheory/Constructions/Polish.lean | MeasureTheory.isClopenable_iff_measurableSet | [
{
"state_after": "α : Type ?u.324968\ninst✝⁵ : TopologicalSpace α\nι : Type ?u.324974\nγ : Type u_1\ntγ : TopologicalSpace γ\ninst✝⁴ : PolishSpace γ\ninst✝³ : MeasurableSpace γ\nhγb : BorelSpace γ\nβ : Type ?u.325005\ntβ : TopologicalSpace β\ninst✝² : T2Space β\ninst✝¹ : MeasurableSpace β\ninst✝ : BorelSpace β\... | [
675,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
655,
1
] |
Mathlib/Order/Hom/CompleteLattice.lean | sSupHom.symm_dual_comp | [] | [
818,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
816,
1
] |
Std/Data/Int/DivMod.lean | Int.mul_div_cancel_left | [] | [
214,
43
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
213,
19
] |
Mathlib/Order/BoundedOrder.lean | sup_top_eq | [] | [
461,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
460,
1
] |
Mathlib/Topology/MetricSpace/ThickenedIndicator.lean | thickenedIndicatorAux_tendsto_indicator_closure | [
{
"state_after": "α : Type u_1\ninst✝ : PseudoEMetricSpace α\nδseq : ℕ → ℝ\nδseq_lim : Tendsto δseq atTop (𝓝 0)\nE : Set α\n⊢ ∀ (x : α), Tendsto (fun i => thickenedIndicatorAux (δseq i) E x) atTop (𝓝 (indicator (closure E) (fun x => 1) x))",
"state_before": "α : Type u_1\ninst✝ : PseudoEMetricSpace α\nδse... | [
156,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
133,
1
] |
Mathlib/Computability/TuringMachine.lean | Turing.Tape.right₀_nth | [
{
"state_after": "no goals",
"state_before": "Γ : Type u_1\ninst✝ : Inhabited Γ\nT : Tape Γ\nn : ℕ\n⊢ ListBlank.nth (right₀ T) n = nth T ↑n",
"tactic": "cases n <;> simp only [Tape.nth, Tape.right₀, Int.ofNat_zero, ListBlank.nth_zero,\n ListBlank.nth_succ, ListBlank.head_cons, ListBlank.tail_cons, Nat.... | [
623,
79
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
621,
1
] |
Mathlib/Topology/MetricSpace/Basic.lean | NNReal.nndist_zero_eq_val' | [
{
"state_after": "α : Type u\nβ : Type v\nX : Type ?u.239698\nι : Type ?u.239701\ninst✝ : PseudoMetricSpace α\nz : ℝ≥0\n⊢ nndist 0 z = z",
"state_before": "α : Type u\nβ : Type v\nX : Type ?u.239698\nι : Type ?u.239701\ninst✝ : PseudoMetricSpace α\nz : ℝ≥0\n⊢ nndist z 0 = z",
"tactic": "rw [nndist_comm]... | [
1699,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1697,
1
] |
Mathlib/MeasureTheory/Function/Jacobian.lean | MeasureTheory.lintegral_image_eq_lintegral_abs_det_fderiv_mul | [
{
"state_after": "E : Type u_1\nF : Type ?u.1015376\ninst✝⁷ : NormedAddCommGroup E\ninst✝⁶ : NormedSpace ℝ E\ninst✝⁵ : FiniteDimensional ℝ E\ninst✝⁴ : NormedAddCommGroup F\ninst✝³ : NormedSpace ℝ F\ns : Set E\nf : E → E\nf' : E → E →L[ℝ] E\ninst✝² : MeasurableSpace E\ninst✝¹ : BorelSpace E\nμ : Measure E\ninst✝... | [
1184,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1173,
1
] |
Mathlib/Data/Fin/Tuple/Basic.lean | Fin.repeat_zero | [] | [
384,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
382,
1
] |
Mathlib/Order/Disjoint.lean | Prod.disjoint_iff | [
{
"state_after": "case mp\nα : Type u_1\nβ : Type u_2\ninst✝³ : PartialOrder α\ninst✝² : PartialOrder β\ninst✝¹ : OrderBot α\ninst✝ : OrderBot β\nx y : α × β\n⊢ Disjoint x y → Disjoint x.fst y.fst ∧ Disjoint x.snd y.snd\n\ncase mpr\nα : Type u_1\nβ : Type u_2\ninst✝³ : PartialOrder α\ninst✝² : PartialOrder β\ni... | [
592,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
584,
11
] |
Mathlib/Data/Nat/Cast/Basic.lean | Nat.cast_le_one | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.20573\ninst✝¹ : OrderedSemiring α\ninst✝ : CharZero α\nm n : ℕ\n⊢ ↑n ≤ 1 ↔ n ≤ 1",
"tactic": "rw [← cast_one, cast_le]"
}
] | [
155,
73
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
155,
1
] |
Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.sub_eq_zero_iff_le | [
{
"state_after": "no goals",
"state_before": "α : Type ?u.132338\nβ : Type ?u.132341\nγ : Type ?u.132344\nr : α → α → Prop\ns : β → β → Prop\nt : γ → γ → Prop\na b : Ordinal\nh : a - b = 0\n⊢ a ≤ b",
"tactic": "simpa only [h, add_zero] using le_add_sub a b"
},
{
"state_after": "no goals",
"s... | [
600,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
598,
11
] |
Mathlib/Topology/Constructions.lean | isOpen_sigma_iff | [
{
"state_after": "α : Type u\nβ : Type v\nγ : Type ?u.514064\nδ : Type ?u.514067\nε : Type ?u.514070\nζ : Type ?u.514073\nι : Type u_2\nκ : Type ?u.514079\nσ : ι → Type u_1\nτ : κ → Type ?u.514089\ninst✝² : (i : ι) → TopologicalSpace (σ i)\ninst✝¹ : (k : κ) → TopologicalSpace (τ k)\ninst✝ : TopologicalSpace α\n... | [
1452,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1449,
1
] |
Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean | Real.Angle.cos_eq_iff_coe_eq_or_eq_neg | [
{
"state_after": "case mp\nθ ψ : ℝ\n⊢ cos θ = cos ψ → ↑θ = ↑ψ ∨ ↑θ = -↑ψ\n\ncase mpr\nθ ψ : ℝ\n⊢ ↑θ = ↑ψ ∨ ↑θ = -↑ψ → cos θ = cos ψ",
"state_before": "θ ψ : ℝ\n⊢ cos θ = cos ψ ↔ ↑θ = ↑ψ ∨ ↑θ = -↑ψ",
"tactic": "constructor"
},
{
"state_after": "case mp\nθ ψ : ℝ\nHcos : cos θ = cos ψ\n⊢ ↑θ = ↑ψ ∨ ... | [
264,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
243,
1
] |
Mathlib/Algebra/Invertible.lean | mul_div_cancel_of_invertible | [] | [
404,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
403,
1
] |
Mathlib/Data/IsROrC/Basic.lean | IsROrC.ofReal_inv | [] | [
543,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
542,
1
] |
Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean | RingEquiv.sofLeftInverse'_symm_apply | [] | [
1003,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1001,
1
] |
Mathlib/Data/List/Permutation.lean | List.permutationsAux_nil | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.26167\nis : List α\n⊢ permutationsAux [] is = []",
"tactic": "rw [permutationsAux, permutationsAux.rec]"
}
] | [
217,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
216,
1
] |
Mathlib/Analysis/NormedSpace/HahnBanach/Extension.lean | exists_dual_vector' | [
{
"state_after": "case pos\n𝕜 : Type v\ninst✝³ : IsROrC 𝕜\nE : Type u\ninst✝² : NormedAddCommGroup E\ninst✝¹ : NormedSpace 𝕜 E\ninst✝ : Nontrivial E\nx : E\nhx : x = 0\n⊢ ∃ g, ‖g‖ = 1 ∧ ↑g x = ↑‖x‖\n\ncase neg\n𝕜 : Type v\ninst✝³ : IsROrC 𝕜\nE : Type u\ninst✝² : NormedAddCommGroup E\ninst✝¹ : NormedSpace �... | [
147,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
141,
1
] |
Mathlib/Data/Rel.lean | Rel.inv_comp | [
{
"state_after": "case a.h.a\nα : Type u_1\nβ : Type u_2\nγ : Type u_3\nr✝ r : Rel α β\ns : Rel β γ\nx : γ\nz : α\n⊢ inv (r • s) x z ↔ (inv s • inv r) x z",
"state_before": "α : Type u_1\nβ : Type u_2\nγ : Type u_3\nr✝ r : Rel α β\ns : Rel β γ\n⊢ inv (r • s) = inv s • inv r",
"tactic": "ext (x z)"
},
... | [
127,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
125,
1
] |
Mathlib/Topology/Category/TopCat/Limits/Pullbacks.lean | TopCat.pullback_topology | [
{
"state_after": "J : Type v\ninst✝ : SmallCategory J\nX✝ Y✝ Z✝ X Y Z : TopCat\nf : X ⟶ Z\ng : Y ⟶ Z\nhomeo : ↑(pullback f g) ≃ₜ ↑(of { p // (forget TopCat).map f p.fst = (forget TopCat).map g p.snd }) :=\n homeoOfIso (pullbackIsoProdSubtype f g)\n⊢ (pullback f g).str =\n induced ((forget TopCat).map pullba... | [
156,
8
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
148,
1
] |
src/lean/Init/Data/List/Basic.lean | List.replicateTR_loop_replicate_eq | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nγ : Type w\na : α\nm n : Nat\n⊢ replicateTR.loop a n (replicate m a) = replicate (n + m) a",
"tactic": "induction n generalizing m with simp [replicateTR.loop]\n| succ n ih => simp [Nat.succ_add]; exact ih (m+1)"
},
{
"state_a... | [
750,
53
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
747,
1
] |
Mathlib/Analysis/Analytic/Basic.lean | FormalMultilinearSeries.partialSum_continuous | [
{
"state_after": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\nG : Type ?u.21027\ninst✝¹⁰ : Ring 𝕜\ninst✝⁹ : AddCommGroup E\ninst✝⁸ : AddCommGroup F\ninst✝⁷ : Module 𝕜 E\ninst✝⁶ : Module 𝕜 F\ninst✝⁵ : TopologicalSpace E\ninst✝⁴ : TopologicalSpace F\ninst✝³ : TopologicalAddGroup E\ninst✝² : TopologicalAddGroup ... | [
111,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
108,
1
] |
Mathlib/LinearAlgebra/Dimension.lean | rank_eq_card_basis | [
{
"state_after": "K : Type u\nV V₁ V₂ V₃ : Type v\nV' V'₁ : Type v'\nV'' : Type v''\nι✝ : Type w\nι' : Type w'\nη : Type u₁'\nφ : η → Type ?u.396065\nR : Type u\ninst✝⁴ : Ring R\ninst✝³ : StrongRankCondition R\nM : Type v\ninst✝² : AddCommGroup M\ninst✝¹ : Module R M\nι : Type w\ninst✝ : Fintype ι\nh : Basis ι ... | [
807,
90
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
804,
1
] |
Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean | MeasureTheory.StronglyMeasurable.finStronglyMeasurable | [
{
"state_after": "no goals",
"state_before": "α : Type u_2\nβ : Type u_1\nγ : Type ?u.64356\nι : Type ?u.64359\ninst✝³ : Countable ι\nf g : α → β\ninst✝² : TopologicalSpace β\ninst✝¹ : Zero β\nm0 : MeasurableSpace α\nhf : StronglyMeasurable f\nμ : Measure α\ninst✝ : SigmaFinite μ\n⊢ ∀ (x : α), x ∈ univᶜ → f... | [
352,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
349,
11
] |
Mathlib/Data/Finset/PiInduction.lean | Finset.induction_on_pi_of_choice | [
{
"state_after": "case intro\nι : Type u_2\nα : ι → Type u_1\ninst✝² : Finite ι\ninst✝¹ : DecidableEq ι\ninst✝ : (i : ι) → DecidableEq (α i)\nr : (i : ι) → α i → Finset (α i) → Prop\nH_ex : ∀ (i : ι) (s : Finset (α i)), Finset.Nonempty s → ∃ x, x ∈ s ∧ r i x (erase s x)\np : ((i : ι) → Finset (α i)) → Prop\nf :... | [
67,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
40,
1
] |
Mathlib/Topology/Basic.lean | IsClosed.mem_of_tendsto | [] | [
1454,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1452,
1
] |
Mathlib/Topology/SubsetProperties.lean | mem_irreducibleComponent | [] | [
1797,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1796,
1
] |
Mathlib/Topology/MetricSpace/Isometry.lean | IsometryEquiv.trans_apply | [] | [
401,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
400,
1
] |
Mathlib/RingTheory/PrincipalIdealDomain.lean | Submodule.IsPrincipal.generator_mem | [
{
"state_after": "R : Type u\nM : Type v\ninst✝³ : AddCommGroup M\ninst✝² : Ring R\ninst✝¹ : Module R M\nS : Submodule R M\ninst✝ : IsPrincipal S\n⊢ generator S ∈ span R {generator S}",
"state_before": "R : Type u\nM : Type v\ninst✝³ : AddCommGroup M\ninst✝² : Ring R\ninst✝¹ : Module R M\nS : Submodule R M\... | [
117,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
115,
1
] |
Mathlib/Topology/MetricSpace/IsometricSMul.lean | Metric.preimage_mul_left_ball | [] | [
471,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
469,
1
] |
Mathlib/Analysis/Normed/Group/Basic.lean | norm_div_le_of_le | [] | [
547,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
546,
1
] |
Mathlib/Algebra/Order/Ring/Abs.lean | self_dvd_abs | [] | [
138,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
137,
1
] |
Mathlib/Algebra/GroupWithZero/Units/Lemmas.lean | div_div_cancel_left' | [] | [
198,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
197,
1
] |
Mathlib/Computability/Partrec.lean | Computable.option_some | [] | [
419,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
418,
1
] |
Mathlib/RingTheory/AdjoinRoot.lean | AdjoinRoot.isAlgebraic_root | [] | [
256,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
255,
1
] |
Mathlib/Data/Real/ENNReal.lean | ENNReal.lt_add_of_sub_lt_right | [] | [
1157,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1156,
11
] |
Mathlib/Algebra/Homology/Single.lean | ChainComplex.single₀_map_f_0 | [] | [
184,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
183,
1
] |
Mathlib/Data/Fin/Basic.lean | Fin.succAbove_zero | [] | [
2055,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2054,
1
] |
Mathlib/Data/Multiset/Basic.lean | Multiset.union_le_iff | [] | [
1824,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1823,
1
] |
Mathlib/Topology/Order/Basic.lean | ge_mem_nhds | [] | [
924,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
923,
1
] |
Mathlib/Algebra/BigOperators/Basic.lean | toMul_list_sum | [
{
"state_after": "ι : Type ?u.990207\nβ : Type u\nα : Type v\nγ : Type w\ns✝ s₁ s₂ : Finset α\na : α\nf g : α → β\ninst✝ : Monoid α\ns : List (Additive α)\n⊢ List.sum s = List.prod s",
"state_before": "ι : Type ?u.990207\nβ : Type u\nα : Type v\nγ : Type w\ns✝ s₁ s₂ : Finset α\na : α\nf g : α → β\ninst✝ : M... | [
2297,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2296,
1
] |
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