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/Finset/Fold.lean | Finset.fold_ite' | [
{
"state_after": "case empty\nα : Type u_2\nβ : Type u_1\nγ : Type ?u.24216\nop : β → β → β\nhc : IsCommutative β op\nha : IsAssociative β op\nf : α → β\nb : β\ns : Finset α\na : α\ng : α → β\nhb : op b b = b\np : α → Prop\ninst✝ : DecidablePred p\n⊢ fold op b (fun i => if p i then f i else g i) ∅ =\n op (fo... | [
154,
89
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
143,
1
] |
Mathlib/Order/SuccPred/Limit.lean | Order.not_isSuccLimit_iff_exists_covby | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝ : LT α\na : α\n⊢ ¬IsSuccLimit a ↔ ∃ b, b ⋖ a",
"tactic": "simp [IsSuccLimit]"
}
] | [
50,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
49,
1
] |
Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.lsub_not_mem_range | [] | [
1710,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1708,
1
] |
Mathlib/Data/Stream/Init.lean | Stream'.corec'_eq | [] | [
395,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
394,
1
] |
Mathlib/RingTheory/Subring/Basic.lean | Subring.coe_map | [] | [
599,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
598,
1
] |
Mathlib/Data/Multiset/Basic.lean | Multiset.nsmul_replicate | [] | [
961,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
960,
1
] |
Mathlib/GroupTheory/Subsemigroup/Centralizer.lean | Set.center_subset_centralizer | [] | [
129,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
128,
1
] |
Mathlib/Combinatorics/SimpleGraph/Connectivity.lean | SimpleGraph.Iso.connected_iff | [] | [
1964,
101
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1962,
1
] |
Mathlib/Data/List/BigOperators/Basic.lean | List.prod_pos | [
{
"state_after": "case nil\nι : Type ?u.157247\nα : Type ?u.157250\nM : Type ?u.157253\nN : Type ?u.157256\nP : Type ?u.157259\nM₀ : Type ?u.157262\nG : Type ?u.157265\nR : Type u_1\ninst✝ : StrictOrderedSemiring R\nl : List R\nh✝ : ∀ (a : R), a ∈ l → 0 < a\nh : ∀ (a : R), a ∈ [] → 0 < a\n⊢ 0 < prod []\n\ncase ... | [
583,
90
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
578,
1
] |
Mathlib/Topology/Constructions.lean | isOpenMap_toAdd | [] | [
115,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
115,
1
] |
Mathlib/Topology/Algebra/Group/Basic.lean | tendsto_inv_nhdsWithin_Iic | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nG : Type w\nH : Type x\ninst✝⁶ : TopologicalSpace G\ninst✝⁵ : Group G\ninst✝⁴ : TopologicalGroup G\ninst✝³ : TopologicalSpace α\nf : α → G\ns : Set α\nx : α\ninst✝² : TopologicalSpace H\ninst✝¹ : OrderedCommGroup H\ninst✝ : ContinuousInv ... | [
591,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
590,
1
] |
Mathlib/CategoryTheory/Adjunction/Basic.lean | CategoryTheory.Adjunction.homEquiv_naturality_right_symm | [
{
"state_after": "C : Type u₁\ninst✝¹ : Category C\nD : Type u₂\ninst✝ : Category D\nF : C ⥤ D\nG : D ⥤ C\nadj : F ⊣ G\nX' X : C\nY Y' : D\nf : X ⟶ G.obj Y\ng : Y ⟶ Y'\n⊢ f ≫ G.map g = ↑(homEquiv adj X Y') (↑(homEquiv adj X Y).symm f ≫ g)",
"state_before": "C : Type u₁\ninst✝¹ : Category C\nD : Type u₂\nins... | [
176,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
173,
1
] |
Std/Data/Nat/Gcd.lean | Nat.gcd_mul_dvd_mul_gcd | [
{
"state_after": "k m n m' : Nat\nhm' : m' ∣ m\nn' : Nat\nhn' : n' ∣ n\nh : gcd k (m * n) = m' * n'\n⊢ gcd k (m * n) ∣ gcd k m * gcd k n",
"state_before": "k m n : Nat\n⊢ gcd k (m * n) ∣ gcd k m * gcd k n",
"tactic": "let ⟨⟨⟨m', hm'⟩, ⟨n', hn'⟩⟩, (h : gcd k (m * n) = m' * n')⟩ :=\n prod_dvd_and_dvd_of_... | [
402,
62
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
395,
1
] |
Mathlib/Algebra/Order/Hom/Basic.lean | le_map_mul_map_div | [
{
"state_after": "no goals",
"state_before": "ι : Type ?u.2724\nF : Type u_3\nα : Type u_1\nβ : Type u_2\nγ : Type ?u.2736\nδ : Type ?u.2739\ninst✝³ : Group α\ninst✝² : CommSemigroup β\ninst✝¹ : LE β\ninst✝ : SubmultiplicativeHomClass F α β\nf : F\na b : α\n⊢ ↑f a ≤ ↑f b * ↑f (a / b)",
"tactic": "simpa ... | [
133,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
131,
1
] |
Mathlib/Order/Filter/SmallSets.lean | Filter.frequently_smallSets_mem | [] | [
84,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
83,
1
] |
Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean | Complex.continuousOn_sin | [] | [
60,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
59,
1
] |
Mathlib/GroupTheory/Coset.lean | Subgroup.quotientiInfSubgroupOfEmbedding_apply_mk | [] | [
760,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
756,
1
] |
Mathlib/Analysis/Normed/Group/Hom.lean | NormedAddGroupHom.coe_comp | [] | [
710,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
708,
1
] |
Mathlib/Data/List/Perm.lean | List.mem_permutationsAux_of_perm | [
{
"state_after": "α : Type uu\nβ : Type vv\nl₁ l₂ : List α\n⊢ ∀ (ts is l : List α), l ~ is ++ ts → (∃ is' x, l = is' ++ ts) ∨ l ∈ permutationsAux ts is",
"state_before": "α : Type uu\nβ : Type vv\nl₁ l₂ : List α\n⊢ ∀ {ts is l : List α}, l ~ is ++ ts → (∃ is' x, l = is' ++ ts) ∨ l ∈ permutationsAux ts is",
... | [
1260,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1243,
1
] |
Mathlib/Data/Num/Lemmas.lean | PosNum.to_nat_inj | [
{
"state_after": "no goals",
"state_before": "α : Type ?u.304571\nm n : PosNum\nh : ↑m = ↑n\n⊢ pos m = pos n",
"tactic": "rw [← PosNum.of_to_nat, ← PosNum.of_to_nat, h]"
}
] | [
532,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
531,
1
] |
Mathlib/Data/List/Basic.lean | List.foldl_nil | [] | [
2395,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2394,
1
] |
Mathlib/Data/Polynomial/Eval.lean | Polynomial.root_mul_right_of_isRoot | [
{
"state_after": "no goals",
"state_before": "R : Type u\nS : Type v\nT : Type w\nι : Type y\na b : R\nm n : ℕ\ninst✝¹ : CommSemiring R\np✝ q✝ : R[X]\nx : R\ninst✝ : CommSemiring S\nf : R →+* S\np q : R[X]\nH : IsRoot p a\n⊢ IsRoot (p * q) a",
"tactic": "rw [IsRoot, eval_mul, IsRoot.def.1 H, zero_mul]"
... | [
1104,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1103,
1
] |
Mathlib/Analysis/Convex/SpecificFunctions/Deriv.lean | strictConcaveOn_cos_Icc | [
{
"state_after": "x : ℝ\nhx : x ∈ interior (Icc (-(π / 2)) (π / 2))\n⊢ (deriv^[2]) cos x < 0",
"state_before": "⊢ StrictConcaveOn ℝ (Icc (-(π / 2)) (π / 2)) cos",
"tactic": "apply strictConcaveOn_of_deriv2_neg (convex_Icc _ _) continuousOn_cos fun x hx => ?_"
},
{
"state_after": "x : ℝ\nhx : x ∈... | [
179,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
176,
1
] |
Mathlib/Analysis/Normed/Group/Quotient.lean | NormedAddGroupHom.IsQuotient.norm_le | [
{
"state_after": "M : Type u_1\nN : Type u_2\ninst✝¹ : SeminormedAddCommGroup M\ninst✝ : SeminormedAddCommGroup N\nf : NormedAddGroupHom M N\nhquot : IsQuotient f\nm : M\n⊢ sInf ((fun m_1 => ‖m + m_1‖) '' ↑(ker f)) ≤ ‖m‖",
"state_before": "M : Type u_1\nN : Type u_2\ninst✝¹ : SeminormedAddCommGroup M\ninst✝... | [
400,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
393,
1
] |
Mathlib/Topology/Algebra/Order/MonotoneConvergence.lean | isGLB_of_tendsto_atBot | [] | [
289,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
286,
1
] |
Mathlib/Analysis/NormedSpace/ENorm.lean | ENorm.ext_iff | [] | [
76,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
75,
1
] |
Mathlib/Data/Polynomial/Eval.lean | Polynomial.eval₂_list_prod_noncomm | [
{
"state_after": "case H0\nR : Type u\nS : Type v\nT : Type w\nι : Type y\na b : R\nm n : ℕ\ninst✝² : Semiring R\np q r : R[X]\ninst✝¹ : Semiring S\nf : R →+* S\nx : S\ninst✝ : Semiring T\nps : List R[X]\nhf✝ : ∀ (p : R[X]), p ∈ ps → ∀ (k : ℕ), Commute (↑f (coeff p k)) x\nhf : ∀ (p : R[X]), p ∈ [] → ∀ (k : ℕ), ... | [
213,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
207,
1
] |
Mathlib/Geometry/Manifold/SmoothManifoldWithCorners.lean | extChartAt_source_mem_nhds' | [
{
"state_after": "no goals",
"state_before": "𝕜 : Type u_3\nE : Type u_2\nM : Type u_1\nH : Type u_4\nE' : Type ?u.187773\nM' : Type ?u.187776\nH' : Type ?u.187779\ninst✝¹⁰ : NontriviallyNormedField 𝕜\ninst✝⁹ : NormedAddCommGroup E\ninst✝⁸ : NormedSpace 𝕜 E\ninst✝⁷ : TopologicalSpace H\ninst✝⁶ : Topologi... | [
1069,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1067,
1
] |
Mathlib/Combinatorics/SimpleGraph/Connectivity.lean | SimpleGraph.reachable_iff_nonempty_univ | [] | [
1848,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1846,
1
] |
Mathlib/MeasureTheory/Integral/Bochner.lean | MeasureTheory.integral_trim_ae | [
{
"state_after": "α : Type ?u.1721748\nE : Type ?u.1721751\nF : Type u_2\n𝕜 : Type ?u.1721757\ninst✝⁹ : NormedAddCommGroup E\ninst✝⁸ : NormedSpace ℝ E\ninst✝⁷ : CompleteSpace E\ninst✝⁶ : NontriviallyNormedField 𝕜\ninst✝⁵ : NormedSpace 𝕜 E\ninst✝⁴ : SMulCommClass ℝ 𝕜 E\ninst✝³ : NormedAddCommGroup F\ninst✝² ... | [
1794,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1791,
1
] |
Mathlib/Data/Set/Intervals/Pi.lean | Set.image_update_Icc_left | [
{
"state_after": "no goals",
"state_before": "ι : Type u_1\nα : ι → Type u_2\ninst✝¹ : DecidableEq ι\ninst✝ : (i : ι) → PartialOrder (α i)\nf : (i : ι) → α i\ni : ι\na : α i\n⊢ update f i '' Icc a (f i) = Icc (update f i a) f",
"tactic": "simpa using image_update_Icc f i a (f i)"
}
] | [
164,
100
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
163,
1
] |
Mathlib/MeasureTheory/Measure/AEDisjoint.lean | MeasureTheory.AEDisjoint.congr | [] | [
92,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
90,
11
] |
Mathlib/Order/Filter/Basic.lean | Filter.comap_iSup | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nγ : Type w\nδ : Type ?u.254383\nι✝ : Sort x\nf✝ f₁ f₂ : Filter α\ng g₁ g₂ : Filter β\nm✝ : α → β\nm' : β → γ\ns✝ : Set α\nt : Set β\nι : Sort u_1\nf : ι → Filter β\nm : α → β\ns : Set α\nhs : s ∈ ⨆ (i : ι), comap m (f i)\n⊢ ∀ (i : ι), ∃ t... | [
2236,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2227,
1
] |
Mathlib/Data/Multiset/NatAntidiagonal.lean | Multiset.Nat.antidiagonal_succ | [
{
"state_after": "no goals",
"state_before": "n : ℕ\n⊢ antidiagonal (n + 1) = (0, n + 1) ::ₘ map (Prod.map Nat.succ id) (antidiagonal n)",
"tactic": "simp only [antidiagonal, List.Nat.antidiagonal_succ, coe_map, cons_coe]"
}
] | [
64,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
62,
1
] |
Mathlib/Data/Complex/Exponential.lean | Complex.exp_sub_cosh | [] | [
737,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
736,
1
] |
Mathlib/Algebra/Order/Hom/Monoid.lean | OrderMonoidWithZeroHom.coe_monoidWithZeroHom | [] | [
628,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
627,
1
] |
Mathlib/Tactic/NormNum/NatFib.lean | Mathlib.Meta.NormNum.isFibAux_two_mul_add_one | [
{
"state_after": "no goals",
"state_before": "n a b n' a' b' : ℕ\nH : IsFibAux n a b\nhn : 2 * n + 1 = n'\nh1 : a * a + b * b = a'\nh2 : b * (2 * a + b) = b'\n⊢ fib n' = a'",
"tactic": "rw [← hn, fib_two_mul_add_one, H.1, H.2, pow_two, pow_two, add_comm, h1]"
},
{
"state_after": "no goals",
... | [
40,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
36,
1
] |
Mathlib/Algebra/Module/Equiv.lean | LinearEquiv.congr_arg | [] | [
246,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
245,
11
] |
Mathlib/GroupTheory/Subgroup/Actions.lean | Subgroup.smul_def | [] | [
37,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
36,
1
] |
Mathlib/RingTheory/Localization/Basic.lean | Localization.sub_mk | [
{
"state_after": "no goals",
"state_before": "R : Type u_1\ninst✝³ : CommRing R\nM : Submonoid R\nS : Type ?u.2970634\ninst✝² : CommRing S\ninst✝¹ : Algebra R S\nP : Type ?u.2970871\ninst✝ : CommRing P\na c : R\nb d : { x // x ∈ M }\n⊢ mk a b + -mk c d = mk a b + mk (-c) d",
"tactic": "rw [neg_mk]"
},... | [
1150,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1144,
1
] |
Mathlib/LinearAlgebra/Prod.lean | LinearMap.prodMap_zero | [] | [
362,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
361,
1
] |
Mathlib/Data/Nat/Parity.lean | Nat.even_xor_odd | [
{
"state_after": "no goals",
"state_before": "m n✝ n : ℕ\n⊢ Xor' (Even n) (Odd n)",
"tactic": "simp [Xor', odd_iff_not_even, Decidable.em (Even n)]"
}
] | [
75,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
74,
1
] |
Mathlib/Algebra/Order/Monoid/TypeTags.lean | Multiplicative.ofAdd_lt | [] | [
155,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
154,
1
] |
Mathlib/Topology/Filter.lean | Filter.isTopologicalBasis_Iic_principal | [
{
"state_after": "case intro.intro\nι : Sort ?u.640\nα : Type u_1\nβ : Type ?u.646\nX : Type ?u.649\nY : Type ?u.652\ns t : Set α\nl : Filter α\nhl : l ∈ (Iic ∘ 𝓟) s ∩ (Iic ∘ 𝓟) t\n⊢ ∃ t₃, t₃ ∈ range (Iic ∘ 𝓟) ∧ l ∈ t₃ ∧ t₃ ⊆ (Iic ∘ 𝓟) s ∩ (Iic ∘ 𝓟) t",
"state_before": "ι : Sort ?u.640\nα : Type u_1\nβ... | [
69,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
62,
1
] |
Mathlib/GroupTheory/Finiteness.lean | AddGroup.fg_iff_mul_fg | [] | [
334,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
332,
1
] |
Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean | Real.sin_pos_of_pos_of_lt_pi | [
{
"state_after": "no goals",
"state_before": "x : ℝ\nh0x : 0 < x\nhxp : x < π\nhx2 : ¬x ≤ 2\n⊢ 2 + 2 = 4",
"tactic": "norm_num"
}
] | [
410,
65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
404,
1
] |
Mathlib/Data/Finsupp/Defs.lean | Finsupp.support_add_eq | [
{
"state_after": "α : Type u_1\nβ : Type ?u.284137\nγ : Type ?u.284140\nι : Type ?u.284143\nM : Type u_2\nM' : Type ?u.284149\nN : Type ?u.284152\nP : Type ?u.284155\nG : Type ?u.284158\nH : Type ?u.284161\nR : Type ?u.284164\nS : Type ?u.284167\ninst✝¹ : AddZeroClass M\ninst✝ : DecidableEq α\ng₁ g₂ : α →₀ M\nh... | [
996,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
987,
1
] |
Mathlib/RingTheory/Polynomial/Basic.lean | MvPolynomial.prime_rename_iff | [
{
"state_after": "R : Type u\nS : Type ?u.606815\nσ : Type v\nM : Type w\ninst✝³ : CommRing R\ninst✝² : CommRing S\ninst✝¹ : AddCommGroup M\ninst✝ : Module R M\nr : R\ns : Set σ\np : MvPolynomial (↑s) R\n⊢ Prime p ↔ Prime (↑(rename Subtype.val) p)",
"state_before": "R : Type u\nS : Type ?u.606815\nσ : Type ... | [
841,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
820,
1
] |
Mathlib/LinearAlgebra/AnnihilatingPolynomial.lean | Polynomial.span_singleton_annIdealGenerator | [
{
"state_after": "case pos\n𝕜 : Type u_1\nA : Type u_2\ninst✝² : Field 𝕜\ninst✝¹ : Ring A\ninst✝ : Algebra 𝕜 A\na : A\nh : annIdealGenerator 𝕜 a = 0\n⊢ Ideal.span {annIdealGenerator 𝕜 a} = annIdeal 𝕜 a\n\ncase neg\n𝕜 : Type u_1\nA : Type u_2\ninst✝² : Field 𝕜\ninst✝¹ : Ring A\ninst✝ : Algebra 𝕜 A\na : ... | [
113,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
104,
1
] |
Mathlib/Topology/Category/CompHaus/Basic.lean | CompHaus.isIso_of_bijective | [
{
"state_after": "X✝ : Type ?u.4524\ninst✝² : TopologicalSpace X✝\ninst✝¹ : CompactSpace X✝\ninst✝ : T2Space X✝\nX Y : CompHaus\nf : X ⟶ Y\nbij : Function.Bijective ((forget CompHaus).map f)\nE : (forget CompHaus).obj X ≃ (forget CompHaus).obj Y := Equiv.ofBijective ((forget CompHaus).map f) bij\n⊢ IsIso f",
... | [
133,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
121,
1
] |
Mathlib/RingTheory/PowerSeries/Basic.lean | PowerSeries.order_le | [
{
"state_after": "R : Type u_1\ninst✝ : Semiring R\nφ : PowerSeries R\nn : ℕ\nh : ↑(coeff R n) φ ≠ 0\nx✝ : ∃ n, ↑(coeff R n) φ ≠ 0\n⊢ order φ ≤ ↑n",
"state_before": "R : Type u_1\ninst✝ : Semiring R\nφ : PowerSeries R\nn : ℕ\nh : ↑(coeff R n) φ ≠ 0\n⊢ order φ ≤ ↑n",
"tactic": "have _ : ∃ n, coeff R n φ... | [
2268,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2263,
1
] |
Mathlib/Algebra/Algebra/Subalgebra/Basic.lean | Subalgebra.iSupLift_of_mem | [
{
"state_after": "R : Type u\nA : Type v\nB : Type w\ninst✝⁵ : CommSemiring R\ninst✝⁴ : Semiring A\ninst✝³ : Algebra R A\ninst✝² : Semiring B\ninst✝¹ : Algebra R B\nS : Subalgebra R A\nι : Type u_1\ninst✝ : Nonempty ι\nK : ι → Subalgebra R A\ndir : Directed (fun x x_1 => x ≤ x_1) K\nf : (i : ι) → { x // x ∈ K i... | [
1232,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1229,
1
] |
Mathlib/Geometry/Manifold/LocalInvariantProperties.lean | StructureGroupoid.LocalInvariantProp.right_invariance | [
{
"state_after": "H : Type u_1\nM : Type ?u.6200\nH' : Type u_2\nM' : Type ?u.6206\nX : Type ?u.6209\ninst✝⁶ : TopologicalSpace H\ninst✝⁵ : TopologicalSpace M\ninst✝⁴ : ChartedSpace H M\ninst✝³ : TopologicalSpace H'\ninst✝² : TopologicalSpace M'\ninst✝¹ : ChartedSpace H' M'\ninst✝ : TopologicalSpace X\nG : Stru... | [
155,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
145,
1
] |
Mathlib/RingTheory/DedekindDomain/Factorization.lean | Associates.finite_factors | [
{
"state_after": "R : Type u_1\ninst✝⁵ : CommRing R\ninst✝⁴ : IsDomain R\ninst✝³ : IsDedekindDomain R\nK : Type ?u.7591\ninst✝² : Field K\ninst✝¹ : Algebra R K\ninst✝ : IsFractionRing R K\nv : HeightOneSpectrum R\nI : Ideal R\nhI : I ≠ 0\nh_supp : {v | ¬↑(count (Associates.mk v.asIdeal) (factors (Associates.mk ... | [
69,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
60,
1
] |
Mathlib/Topology/Algebra/Group/Basic.lean | isClosedMap_div_left | [] | [
1169,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1168,
1
] |
Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean | NonUnitalSubsemiring.coe_comap | [] | [
278,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
277,
1
] |
Mathlib/Algebra/Order/Ring/Defs.lean | one_lt_mul_of_lt_of_le | [] | [
322,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
321,
1
] |
Mathlib/Data/Set/Image.lean | Set.disjoint_preimage_iff | [] | [
1613,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1611,
1
] |
Mathlib/Order/WithBot.lean | WithTop.coe_max | [] | [
1246,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1245,
1
] |
Mathlib/Analysis/SpecialFunctions/Integrals.lean | IntervalIntegrable.log | [] | [
215,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
212,
1
] |
Mathlib/Logic/Unique.lean | Unique.bijective | [
{
"state_after": "A : Sort u_1\nB : Sort u_2\ninst✝¹ : Unique A\ninst✝ : Unique B\nf : A → B\n⊢ ∃ g, Function.LeftInverse g f ∧ Function.RightInverse g f",
"state_before": "A : Sort u_1\nB : Sort u_2\ninst✝¹ : Unique A\ninst✝ : Unique B\nf : A → B\n⊢ Function.Bijective f",
"tactic": "rw [Function.biject... | [
259,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
257,
1
] |
Mathlib/Algebra/CharZero/Lemmas.lean | add_self_eq_zero | [
{
"state_after": "no goals",
"state_before": "R : Type u_1\ninst✝² : NonAssocSemiring R\ninst✝¹ : NoZeroDivisors R\ninst✝ : CharZero R\na✝ a : R\n⊢ a + a = 0 ↔ a = 0",
"tactic": "simp only [(two_mul a).symm, mul_eq_zero, two_ne_zero, false_or_iff]"
}
] | [
74,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
73,
1
] |
Mathlib/MeasureTheory/Constructions/BorelSpace/Basic.lean | MeasureTheory.Measure.ext_of_Ico_finite | [
{
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674,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
666,
1
] |
Mathlib/CategoryTheory/Monoidal/Braided.lean | CategoryTheory.associator_monoidal_aux | [
{
"state_after": "C : Type u₁\ninst✝⁸ : Category C\ninst✝⁷ : MonoidalCategory C\ninst✝⁶ : BraidedCategory C\nD : Type u₂\ninst✝⁵ : Category D\ninst✝⁴ : MonoidalCategory D\ninst✝³ : BraidedCategory D\nE : Type u₃\ninst✝² : Category E\ninst✝¹ : MonoidalCategory E\ninst✝ : BraidedCategory E\nW X Y Z : C\n⊢ (𝟙 W ⊗... | [
618,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
603,
1
] |
Mathlib/Analysis/InnerProductSpace/Basic.lean | inner_eq_sum_norm_sq_div_four | [
{
"state_after": "𝕜 : Type u_1\nE : Type u_2\nF : Type ?u.2659185\ninst✝⁴ : IsROrC 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : InnerProductSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : InnerProductSpace ℝ F\ndec_E : DecidableEq E\nx y : E\n⊢ ↑((‖x + y‖ * ‖x + y‖ - ‖x - y‖ * ‖x - y‖) / 4) + ↑((‖x - I • y‖ ... | [
1171,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1165,
1
] |
Mathlib/Order/ModularLattice.lean | Disjoint.disjoint_sup_left_of_disjoint_sup_right | [
{
"state_after": "α : Type u_1\ninst✝² : Lattice α\ninst✝¹ : OrderBot α\ninst✝ : IsModularLattice α\na b c : α\nh : Disjoint b c\nhsup : Disjoint a (b ⊔ c)\n⊢ Disjoint c (b ⊔ a)",
"state_before": "α : Type u_1\ninst✝² : Lattice α\ninst✝¹ : OrderBot α\ninst✝ : IsModularLattice α\na b c : α\nh : Disjoint b c\... | [
408,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
403,
1
] |
Mathlib/Logic/Equiv/Defs.lean | Equiv.eq_symm_apply | [] | [
335,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
334,
1
] |
Mathlib/Data/List/Basic.lean | List.intersperse_cons_cons | [] | [
2848,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2846,
1
] |
Mathlib/Algebra/CharP/Two.lean | CharTwo.list_sum_mul_self | [
{
"state_after": "no goals",
"state_before": "R : Type u_1\nι : Type ?u.14336\ninst✝¹ : CommSemiring R\ninst✝ : CharP R 2\nl : List R\n⊢ List.sum l * List.sum l = List.sum (List.map (fun x => x * x) l)",
"tactic": "simp_rw [← pow_two, list_sum_sq]"
}
] | [
104,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
103,
1
] |
Mathlib/Data/Set/Intervals/Monoid.lean | Set.image_add_const_Ioo | [] | [
107,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
106,
1
] |
Mathlib/Data/Set/Image.lean | Set.preimage_setOf_eq | [] | [
116,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
115,
1
] |
Mathlib/Analysis/BoxIntegral/Partition/Measure.lean | BoxIntegral.Box.measurableSet_coe | [
{
"state_after": "ι : Type u_1\nI : Box ι\ninst✝ : Countable ι\n⊢ MeasurableSet (pi univ fun i => Ioc (lower I i) (upper I i))",
"state_before": "ι : Type u_1\nI : Box ι\ninst✝ : Countable ι\n⊢ MeasurableSet ↑I",
"tactic": "rw [coe_eq_pi]"
},
{
"state_after": "no goals",
"state_before": "ι :... | [
62,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
60,
1
] |
Mathlib/Data/Polynomial/RingDivision.lean | Polynomial.Monic.irreducible_of_degree_eq_one | [] | [
433,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
432,
1
] |
Mathlib/LinearAlgebra/Matrix/SesquilinearForm.lean | Matrix.toMatrix₂Aux_toLinearMap₂'Aux | [
{
"state_after": "case a.h\nR : Type u_3\nR₁ : Type u_4\nR₂ : Type u_5\nM : Type ?u.137024\nM₁ : Type ?u.137027\nM₂ : Type ?u.137030\nM₁' : Type ?u.137033\nM₂' : Type ?u.137036\nn : Type u_1\nm : Type u_2\nn' : Type ?u.137045\nm' : Type ?u.137048\nι : Type ?u.137051\ninst✝¹⁰ : CommRing R\ninst✝⁹ : CommRing R₁\n... | [
140,
75
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
135,
1
] |
Mathlib/GroupTheory/OrderOfElement.lean | orderOf_eq_one_iff | [
{
"state_after": "no goals",
"state_before": "G : Type u\nA : Type v\nx y : G\na b : A\nn m : ℕ\ninst✝¹ : Monoid G\ninst✝ : AddMonoid A\n⊢ orderOf x = 1 ↔ x = 1",
"tactic": "rw [orderOf, minimalPeriod_eq_one_iff_isFixedPt, IsFixedPt, mul_one]"
}
] | [
227,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
226,
1
] |
Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.union_ae_eq_left_iff_ae_subset | [
{
"state_after": "α : Type u_1\nβ : Type ?u.30507\nγ : Type ?u.30510\nδ : Type ?u.30513\nι : Type ?u.30516\nR : Type ?u.30519\nR' : Type ?u.30522\nm : MeasurableSpace α\nμ μ₁ μ₂ : Measure α\ns s₁ s₂ t : Set α\n⊢ s ∪ t =ᵐ[μ] s ↔ ↑↑μ (t \\ s) = 0",
"state_before": "α : Type u_1\nβ : Type ?u.30507\nγ : Type ?u... | [
303,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
297,
1
] |
Mathlib/Computability/TMToPartrec.lean | Turing.PartrecToTM2.trNat_zero | [
{
"state_after": "⊢ trNum 0 = []",
"state_before": "⊢ trNat 0 = []",
"tactic": "rw [trNat, Nat.cast_zero]"
},
{
"state_after": "no goals",
"state_before": "⊢ trNum 0 = []",
"tactic": "rfl"
}
] | [
1202,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1202,
1
] |
Mathlib/NumberTheory/Padics/PadicVal.lean | padicValInt_dvd_iff | [
{
"state_after": "no goals",
"state_before": "p : ℕ\nhp : Fact (Nat.Prime p)\nn : ℕ\na : ℤ\n⊢ ↑p ^ n ∣ a ↔ a = 0 ∨ n ≤ padicValInt p a",
"tactic": "rw [padicValInt, ← Int.natAbs_eq_zero, ← padicValNat_dvd_iff, ← Int.coe_nat_dvd_left,\n Int.coe_nat_pow]"
}
] | [
518,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
516,
1
] |
Mathlib/Data/Finset/Basic.lean | Finset.toList_toFinset | [
{
"state_after": "case a\nα : Type u_1\nβ : Type ?u.480823\nγ : Type ?u.480826\ninst✝ : DecidableEq α\ns : Finset α\na✝ : α\n⊢ a✝ ∈ List.toFinset (toList s) ↔ a✝ ∈ s",
"state_before": "α : Type u_1\nβ : Type ?u.480823\nγ : Type ?u.480826\ninst✝ : DecidableEq α\ns : Finset α\n⊢ List.toFinset (toList s) = s",... | [
3389,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
3387,
1
] |
Mathlib/SetTheory/Ordinal/FixedPoint.lean | Ordinal.nfp_id | [
{
"state_after": "f : Ordinal → Ordinal\na : Ordinal\n⊢ (sup fun n => id a) = id a",
"state_before": "f : Ordinal → Ordinal\na : Ordinal\n⊢ nfp id a = id a",
"tactic": "simp_rw [← sup_iterate_eq_nfp, iterate_id]"
},
{
"state_after": "no goals",
"state_before": "f : Ordinal → Ordinal\na : Ord... | [
465,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
462,
1
] |
Mathlib/Order/SymmDiff.lean | symmDiff_eq_Xor' | [] | [
91,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
90,
1
] |
Mathlib/RingTheory/QuotientNilpotent.lean | Ideal.IsNilpotent.induction_on | [
{
"state_after": "case intro\nR : Type ?u.1313\nS : Type u_1\ninst✝² : CommSemiring R\ninst✝¹ : CommRing S\ninst✝ : Algebra R S\nI : Ideal S\nP : ⦃S : Type u_1⦄ → [inst : CommRing S] → Ideal S → Prop\nh₁ : ∀ ⦃S : Type u_1⦄ [inst : CommRing S] (I : Ideal S), I ^ 2 = ⊥ → P I\nh₂ : ∀ ⦃S : Type u_1⦄ [inst : CommRin... | [
55,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
29,
1
] |
Mathlib/MeasureTheory/Group/FundamentalDomain.lean | MeasureTheory.IsFundamentalDomain.set_lintegral_eq | [
{
"state_after": "no goals",
"state_before": "G : Type u_1\nH : Type ?u.260361\nα : Type u_2\nβ : Type ?u.260367\nE : Type ?u.260370\ninst✝¹⁰ : Group G\ninst✝⁹ : Group H\ninst✝⁸ : MulAction G α\ninst✝⁷ : MeasurableSpace α\ninst✝⁶ : MulAction H β\ninst✝⁵ : MeasurableSpace β\ninst✝⁴ : NormedAddCommGroup E\ns ... | [
335,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
329,
11
] |
Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean | Complex.sin_int_mul_two_pi_sub | [] | [
1197,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1196,
1
] |
Mathlib/GroupTheory/GroupAction/SubMulAction.lean | SubMulAction.coe_copy | [] | [
148,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
147,
1
] |
Mathlib/CategoryTheory/Preadditive/Generator.lean | CategoryTheory.isSeparator_iff_faithful_preadditiveCoyonedaObj | [
{
"state_after": "C : Type u\ninst✝¹ : Category C\ninst✝ : Preadditive C\nG : C\n⊢ Faithful (preadditiveCoyonedaObj G.op ⋙ forget₂ (ModuleCat (End G.op)) AddCommGroupCat) ↔\n Faithful (preadditiveCoyonedaObj G.op)",
"state_before": "C : Type u\ninst✝¹ : Category C\ninst✝ : Preadditive C\nG : C\n⊢ IsSepar... | [
67,
98
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
64,
1
] |
Mathlib/Data/Real/Sqrt.lean | Real.sqrt_eq_cases | [
{
"state_after": "case mp\nx y : ℝ\n⊢ sqrt x = y → y * y = x ∧ 0 ≤ y ∨ x < 0 ∧ y = 0\n\ncase mpr\nx y : ℝ\n⊢ y * y = x ∧ 0 ≤ y ∨ x < 0 ∧ y = 0 → sqrt x = y",
"state_before": "x y : ℝ\n⊢ sqrt x = y ↔ y * y = x ∧ 0 ≤ y ∨ x < 0 ∧ y = 0",
"tactic": "constructor"
},
{
"state_after": "case mp\nx : ℝ\n... | [
216,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
209,
1
] |
Mathlib/Order/Disjoint.lean | Disjoint.le_bot | [] | [
133,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
132,
1
] |
Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.exists_eq_disjoint_finiteSpanningSetsIn | [] | [
4092,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
4086,
1
] |
Mathlib/Dynamics/Circle/RotationNumber/TranslationNumber.lean | CircleDeg1Lift.translationNumber_pow | [
{
"state_after": "no goals",
"state_before": "f g : CircleDeg1Lift\n⊢ τ (f ^ 0) = ↑0 * τ f",
"tactic": "simp"
},
{
"state_after": "no goals",
"state_before": "f g : CircleDeg1Lift\nn : ℕ\n⊢ τ (f ^ (n + 1)) = ↑(n + 1) * τ f",
"tactic": "rw [pow_succ', translationNumber_mul_of_commute (Com... | [
749,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
745,
1
] |
Mathlib/Topology/Inseparable.lean | specializes_of_nhdsWithin | [] | [
184,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
179,
1
] |
Mathlib/Algebra/BigOperators/Basic.lean | Finset.prod_congr | [
{
"state_after": "ι : Type ?u.280993\nβ : Type u\nα : Type v\nγ : Type w\ns s₁ s₂ : Finset α\na : α\nf g : α → β\ninst✝ : CommMonoid β\nh : s₁ = s₂\n⊢ (∀ (x : α), x ∈ s₂ → f x = g x) → Finset.prod s₂ f = Finset.prod s₂ g",
"state_before": "ι : Type ?u.280993\nβ : Type u\nα : Type v\nγ : Type w\ns s₁ s₂ : Fi... | [
380,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
379,
1
] |
Mathlib/Topology/ContinuousOn.lean | nhdsWithin_inter | [
{
"state_after": "α : Type u_1\nβ : Type ?u.17060\nγ : Type ?u.17063\nδ : Type ?u.17066\ninst✝ : TopologicalSpace α\na : α\ns t : Set α\n⊢ 𝓝 a ⊓ 𝓟 (s ∩ t) = 𝓝 a ⊓ 𝓟 s ⊓ (𝓝 a ⊓ 𝓟 t)",
"state_before": "α : Type u_1\nβ : Type ?u.17060\nγ : Type ?u.17063\nδ : Type ?u.17066\ninst✝ : TopologicalSpace α\na :... | [
263,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
261,
1
] |
Mathlib/RingTheory/SimpleModule.lean | LinearMap.surjective_or_eq_zero | [
{
"state_after": "R : Type u_1\ninst✝⁵ : Ring R\nM : Type u_3\ninst✝⁴ : AddCommGroup M\ninst✝³ : Module R M\nm : Submodule R M\nN : Type u_2\ninst✝² : AddCommGroup N\ninst✝¹ : Module R N\ninst✝ : IsSimpleModule R N\nf : M →ₗ[R] N\n⊢ range f = ⊥ ∨ range f = ⊤",
"state_before": "R : Type u_1\ninst✝⁵ : Ring R\... | [
146,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
143,
1
] |
Mathlib/Analysis/Calculus/Series.lean | tendstoUniformlyOn_tsum | [
{
"state_after": "α : Type u_1\nβ : Type u_2\n𝕜 : Type ?u.260\nE : Type ?u.263\nF : Type u_3\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\ns : Set β\nhfu : ∀ (n : α) (x : β), x ∈ ... | [
53,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
42,
1
] |
Mathlib/Data/Matrix/Basic.lean | Matrix.transposeAddEquiv_symm | [] | [
2037,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2036,
1
] |
Mathlib/CategoryTheory/Abelian/Exact.lean | CategoryTheory.Abelian.exact_epi_comp_iff | [
{
"state_after": "C : Type u₁\ninst✝² : Category C\ninst✝¹ : Abelian C\nX Y Z : C\nf : X ⟶ Y\ng : Y ⟶ Z\nW : C\nh : W ⟶ X\ninst✝ : Epi h\nhfg : Exact (h ≫ f) g\n⊢ Exact f g",
"state_before": "C : Type u₁\ninst✝² : Category C\ninst✝¹ : Abelian C\nX Y Z : C\nf : X ⟶ Y\ng : Y ⟶ Z\nW : C\nh : W ⟶ X\ninst✝ : Epi... | [
124,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
119,
1
] |
Mathlib/Data/Finset/Sups.lean | Finset.mem_disjSups | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝³ : DecidableEq α\ninst✝² : SemilatticeSup α\ninst✝¹ : OrderBot α\ninst✝ : DecidableRel Disjoint\ns s₁ s₂ t t₁ t₂ u : Finset α\na b c : α\n⊢ c ∈ s ○ t ↔ ∃ a, a ∈ s ∧ ∃ b, b ∈ t ∧ Disjoint a b ∧ a ⊔ b = c",
"tactic": "simp [disjSups, and_as... | [
438,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
437,
1
] |
Mathlib/Topology/Constructions.lean | continuous_curry | [] | [
503,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
502,
1
] |
Mathlib/Analysis/SpecialFunctions/Trigonometric/Deriv.lean | ContDiffAt.sinh | [] | [
1175,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1173,
1
] |
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