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/Logic/Equiv/Basic.lean | Equiv.coe_uniqueProd | [] | [
204,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
203,
1
] |
Mathlib/Probability/ProbabilityMassFunction/Monad.lean | Pmf.pure_apply_of_ne | [] | [
65,
11
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
64,
1
] |
Mathlib/Topology/Algebra/Order/Archimedean.lean | Rat.denseRange_cast | [] | [
34,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
32,
1
] |
Mathlib/Analysis/InnerProductSpace/Orientation.lean | Orientation.volumeForm_robust | [
{
"state_after": "case zero\nE : Type u_1\ninst✝¹ : NormedAddCommGroup E\ninst✝ : InnerProductSpace ℝ E\n_i : Fact (finrank ℝ E = Nat.zero)\no : Orientation ℝ E (Fin Nat.zero)\nb : OrthonormalBasis (Fin Nat.zero) ℝ E\nhb : Basis.orientation (OrthonormalBasis.toBasis b) = o\n⊢ volumeForm o = Basis.det (Orthonorm... | [
224,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
216,
1
] |
Mathlib/Logic/Encodable/Basic.lean | Encodable.decode_ofEquiv | [
{
"state_after": "no goals",
"state_before": "α✝ : Type ?u.1896\nβ✝ : Type ?u.1899\nα : Type u_1\nβ : Type u_2\ninst✝ : Encodable α\ne : β ≃ α\nn : ℕ\n⊢ Option.bind (decode n) (some ∘ ↑e.symm) = Option.map (↑e.symm) (decode n)",
"tactic": "rw [Option.map_eq_bind]"
}
] | [
120,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
117,
1
] |
Mathlib/Data/List/Basic.lean | List.init_eq_of_concat_eq | [
{
"state_after": "ι : Type ?u.24511\nα : Type u\nβ : Type v\nγ : Type w\nδ : Type x\nl₁✝ l₂✝ : List α\na : α\nl₁ l₂ : List α\nh : concat l₁ a = concat l₂ a\n⊢ l₁ = l₂",
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559,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
556,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/Biproducts.lean | CategoryTheory.Limits.biproduct.map_desc | [
{
"state_after": "case w\nJ : Type w\nC : Type u\ninst✝³ : Category C\ninst✝² : HasZeroMorphisms C\nf g : J → C\ninst✝¹ : HasBiproduct f\ninst✝ : HasBiproduct g\np : (j : J) → f j ⟶ g j\nP : C\nk : (j : J) → g j ⟶ P\nj✝ : J\n⊢ ι (fun b => f b) j✝ ≫ map p ≫ desc k = ι (fun b => f b) j✝ ≫ desc fun j => p j ≫ k j"... | [
543,
12
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
540,
1
] |
Mathlib/Data/Finset/Basic.lean | Finset.sdiff_eq_empty_iff_subset | [] | [
2163,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2162,
1
] |
Mathlib/MeasureTheory/Function/SimpleFuncDenseLp.lean | MeasureTheory.Lp.simpleFunc.toLp_eq_mk | [] | [
555,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
553,
1
] |
Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean | Real.sin_sq_pi_over_two_pow_succ | [
{
"state_after": "x : ℝ\nn : ℕ\n⊢ 1 - 2 / 2 ^ 2 - sqrtTwoAddSeries 0 n / 2 ^ 2 = 1 / 2 - sqrtTwoAddSeries 0 n / 4\n\nx : ℝ\nn : ℕ\n⊢ 0 ≤ 2 + sqrtTwoAddSeries 0 n",
"state_before": "x : ℝ\nn : ℕ\n⊢ sin (π / 2 ^ (n + 2)) ^ 2 = 1 / 2 - sqrtTwoAddSeries 0 n / 4",
"tactic": "rw [sin_sq_pi_over_two_pow, sqrtT... | [
758,
93
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
755,
1
] |
Mathlib/Order/PartialSups.lean | iSup_partialSups_eq | [] | [
182,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
181,
1
] |
Mathlib/Order/Heyting/Basic.lean | sup_sdiff_eq_sup | [] | [
572,
93
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
571,
1
] |
Mathlib/Data/Sym/Basic.lean | Sym.eq_nil_of_card_zero | [] | [
268,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
267,
1
] |
Mathlib/MeasureTheory/Function/LpSeminorm.lean | MeasureTheory.snorm_le_of_ae_bound | [
{
"state_after": "α : Type u_1\nE : Type ?u.1517887\nF : Type u_2\nG : Type ?u.1517893\nm m0 : MeasurableSpace α\np : ℝ≥0∞\nq : ℝ\nμ ν : Measure α\ninst✝² : NormedAddCommGroup E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedAddCommGroup G\nf : α → F\nC : ℝ\nhfC : ∀ᵐ (x : α) ∂μ, ‖f x‖ ≤ C\n⊢ snorm f p μ ≤ ENNRea... | [
456,
86
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
453,
1
] |
Mathlib/Algebra/GroupWithZero/Units/Lemmas.lean | div_mul_right | [] | [
160,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
159,
1
] |
Mathlib/Data/Finset/Sort.lean | Finset.sorted_last_eq_max'_aux | [
{
"state_after": "case a\nα : Type u_1\nβ : Type ?u.15918\ninst✝ : LinearOrder α\ns : Finset α\nh : List.length (sort (fun x x_1 => x ≤ x_1) s) - 1 < List.length (sort (fun x x_1 => x ≤ x_1) s)\nH : Finset.Nonempty s\nl : List α := sort (fun x x_1 => x ≤ x_1) s\n⊢ List.nthLe (sort (fun x x_1 => x ≤ x_1) s) (Lis... | [
128,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
117,
1
] |
Mathlib/MeasureTheory/Constructions/Pi.lean | MeasureTheory.measurePreserving_piFinTwo | [
{
"state_after": "ι : Type ?u.5928630\nι' : Type ?u.5928633\nα✝ : ι → Type ?u.5928638\ninst✝¹ : Fintype ι\nm✝ : (i : ι) → OuterMeasure (α✝ i)\nα : Fin 2 → Type u\nm : (i : Fin 2) → MeasurableSpace (α i)\nμ : (i : Fin 2) → Measure (α i)\ninst✝ : ∀ (i : Fin 2), SigmaFinite (μ i)\ns : Set (α 0)\nt : Set (α 1)\nx✝¹... | [
798,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
792,
1
] |
Mathlib/Data/List/Perm.lean | List.Perm.permutations | [] | [
1338,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1336,
1
] |
Mathlib/SetTheory/Ordinal/Exponential.lean | Ordinal.nat_cast_opow | [
{
"state_after": "no goals",
"state_before": "m : ℕ\n⊢ ↑(m ^ 0) = ↑m ^ ↑0",
"tactic": "simp"
},
{
"state_after": "no goals",
"state_before": "m n : ℕ\n⊢ ↑(m ^ (n + 1)) = ↑m ^ ↑(n + 1)",
"tactic": "rw [pow_succ', nat_cast_mul, nat_cast_opow m n, Nat.cast_succ, add_one_eq_succ, opow_succ]"... | [
458,
95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
455,
1
] |
Mathlib/Analysis/SpecialFunctions/CompareExp.lean | Complex.IsExpCmpFilter.isLittleO_pow_mul_exp | [
{
"state_after": "no goals",
"state_before": "l : Filter ℂ\nb₁ b₂ : ℝ\nhl : IsExpCmpFilter l\nhb : b₁ < b₂\nm n : ℕ\n⊢ (fun z => z ^ ↑m * exp (↑b₁ * z)) =o[l] fun z => z ^ ↑n * exp (↑b₂ * z)",
"tactic": "simpa only [cpow_nat_cast] using hl.isLittleO_cpow_mul_exp hb m n"
}
] | [
217,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
215,
1
] |
Mathlib/Topology/DenseEmbedding.lean | DenseInducing.continuous_extend | [] | [
221,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
219,
1
] |
Mathlib/Analysis/Convex/Between.lean | wbtw_midpoint | [
{
"state_after": "case h.e'_10\nR : Type u_1\nV : Type u_2\nV' : Type ?u.624238\nP : Type u_3\nP' : Type ?u.624244\ninst✝³ : LinearOrderedField R\ninst✝² : AddCommGroup V\ninst✝¹ : Module R V\ninst✝ : AddTorsor V P\nx y : P\n⊢ y = ↑(pointReflection R (midpoint R x y)) x",
"state_before": "R : Type u_1\nV : ... | [
925,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
923,
1
] |
Mathlib/Data/Fintype/BigOperators.lean | Fintype.card_piFinset | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.9814\nγ : Type ?u.9817\ninst✝¹ : DecidableEq α\ninst✝ : Fintype α\nδ : α → Type u_2\nt : (a : α) → Finset (δ a)\n⊢ Finset.card (piFinset t) = ∏ a : α, Finset.card (t a)",
"tactic": "simp [Fintype.piFinset, card_map]"
}
] | [
139,
95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
138,
1
] |
Mathlib/Order/Ideal.lean | Order.Ideal.mem_inf | [] | [
418,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
417,
1
] |
Mathlib/Analysis/SpecificLimits/Normed.lean | summable_of_ratio_test_tendsto_lt_one | [
{
"state_after": "case intro.intro\nα✝ : Type ?u.1327164\nβ : Type ?u.1327167\nι : Type ?u.1327170\nα : Type u_1\ninst✝¹ : NormedAddCommGroup α\ninst✝ : CompleteSpace α\nf : ℕ → α\nl : ℝ\nhl₁ : l < 1\nhf : ∀ᶠ (n : ℕ) in atTop, f n ≠ 0\nh : Tendsto (fun n => ‖f (n + 1)‖ / ‖f n‖) atTop (𝓝 l)\nr : ℝ\nhr₀ : l < r\... | [
534,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
528,
1
] |
Mathlib/RingTheory/Ideal/Operations.lean | Ideal.mem_radical_of_pow_mem | [] | [
1857,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1855,
1
] |
Mathlib/LinearAlgebra/Ray.lean | SameRay.add_left | [
{
"state_after": "case inl\nR : Type u_1\ninst✝⁵ : StrictOrderedCommSemiring R\nM : Type u_2\ninst✝⁴ : AddCommMonoid M\ninst✝³ : Module R M\nN : Type ?u.71755\ninst✝² : AddCommMonoid N\ninst✝¹ : Module R N\nι : Type ?u.71837\ninst✝ : DecidableEq ι\ny z : M\nhy : SameRay R y z\nhx : SameRay R 0 z\n⊢ SameRay R (0... | [
202,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
193,
1
] |
Mathlib/Dynamics/Flow.lean | Flow.map_zero | [] | [
132,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
132,
1
] |
Mathlib/Topology/MetricSpace/Basic.lean | Metric.ball_disjoint_closedBall | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nX : Type ?u.35483\nι : Type ?u.35486\ninst✝ : PseudoMetricSpace α\nx y z : α\nδ ε ε₁ ε₂ : ℝ\ns : Set α\nh : δ + ε ≤ dist x y\n⊢ ε + δ ≤ dist y x",
"tactic": "rwa [add_comm, dist_comm]"
}
] | [
536,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
535,
1
] |
Mathlib/Logic/Basic.lean | Exists.fst | [] | [
867,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
866,
1
] |
Mathlib/Order/Filter/AtTopBot.lean | Filter.tendsto_bit1_atTop | [] | [
875,
73
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
874,
15
] |
Mathlib/Data/Setoid/Partition.lean | Setoid.classes_eqv_classes | [
{
"state_after": "case intro\nα : Type u_1\nr : Setoid α\na y : α\nha : a ∈ {x | Rel r x y}\n⊢ {x | Rel r x y} = {x | Rel r x a}",
"state_before": "α : Type u_1\nr : Setoid α\na : α\n⊢ ∀ (y : Set α), y ∈ classes r → a ∈ y → y = {x | Rel r x a}",
"tactic": "rintro _ ⟨y, rfl⟩ ha"
},
{
"state_after... | [
127,
73
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
123,
1
] |
Mathlib/Algebra/Module/Submodule/Bilinear.lean | Submodule.map₂_le_map₂_right | [] | [
113,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
111,
1
] |
Mathlib/Algebra/Star/StarAlgHom.lean | StarAlgEquiv.symm_to_ringEquiv | [] | [
874,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
873,
1
] |
Mathlib/MeasureTheory/Constructions/BorelSpace/Basic.lean | measurable_of_continuousOn_compl_singleton | [] | [
945,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
942,
1
] |
Mathlib/Algebra/Quaternion.lean | QuaternionAlgebra.sub_imJ | [] | [
276,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
276,
9
] |
Mathlib/CategoryTheory/Shift/Basic.lean | CategoryTheory.shift_shiftFunctorCompIsoId_hom_app | [
{
"state_after": "no goals",
"state_before": "C : Type u\nA : Type ?u.194994\ninst✝² : Category C\ninst✝¹ : AddGroup A\ninst✝ : HasShift C A\nX✝ Y : C\nf : X✝ ⟶ Y\nn m : A\nh : n + m = 0\nX : C\n⊢ m + n = 0",
"tactic": "rw [← neg_eq_of_add_eq_zero_left h, add_right_neg]"
},
{
"state_after": "C :... | [
510,
86
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
502,
1
] |
Mathlib/Data/Set/Image.lean | Function.Surjective.nonempty_preimage | [
{
"state_after": "no goals",
"state_before": "ι : Sort ?u.104526\nα : Type u_1\nβ : Type u_2\nf : α → β\nhf : Surjective f\ns : Set β\n⊢ Set.Nonempty (f ⁻¹' s) ↔ Set.Nonempty s",
"tactic": "rw [← nonempty_image_iff, hf.image_preimage]"
}
] | [
1312,
87
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1311,
1
] |
Mathlib/Analysis/SpecialFunctions/CompareExp.lean | Complex.IsExpCmpFilter.of_boundedUnder_abs_im | [
{
"state_after": "l : Filter ℂ\nhre : Tendsto re l atTop\nhim : IsBoundedUnder (fun x x_1 => x ≤ x_1) l fun z => Abs.abs z.im\n⊢ im =O[l] fun z => z.re ^ 0",
"state_before": "l : Filter ℂ\nhre : Tendsto re l atTop\nhim : IsBoundedUnder (fun x x_1 => x ≤ x_1) l fun z => Abs.abs z.im\n⊢ im =O[l] fun z => z.re... | [
85,
93
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
81,
1
] |
Mathlib/Data/List/Sigma.lean | List.not_mem_keys | [] | [
74,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
73,
1
] |
Mathlib/Analysis/Calculus/Deriv/Inv.lean | differentiableOn_inv | [] | [
93,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
92,
1
] |
Mathlib/Computability/EpsilonNFA.lean | εNFA.start_one | [] | [
250,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
249,
1
] |
Mathlib/CategoryTheory/ConcreteCategory/Basic.lean | CategoryTheory.ConcreteCategory.hom_ext | [
{
"state_after": "case a\nC : Type v\ninst✝¹ : Category C\ninst✝ : ConcreteCategory C\nX Y : C\nf g : X ⟶ Y\nw : ∀ (x : (forget C).obj X), (forget C).map f x = (forget C).map g x\n⊢ (forget C).map f = (forget C).map g",
"state_before": "C : Type v\ninst✝¹ : Category C\ninst✝ : ConcreteCategory C\nX Y : C\nf... | [
118,
12
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
114,
1
] |
Mathlib/Topology/Instances/Nat.lean | Nat.preimage_closedBall | [] | [
55,
99
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
55,
1
] |
Mathlib/GroupTheory/Perm/Option.lean | Equiv.Perm.decomposeOption_symm_of_none_apply | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝ : DecidableEq α\ne : Perm α\ni : Option α\n⊢ ↑(↑decomposeOption.symm (none, e)) i = Option.map (↑e) i",
"tactic": "simp"
}
] | [
77,
86
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
76,
1
] |
Mathlib/GroupTheory/Index.lean | Subgroup.relindex_eq_zero_of_le_left | [] | [
381,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
380,
1
] |
Mathlib/Analysis/Convex/Topology.lean | Convex.combo_interior_self_mem_interior | [] | [
166,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
163,
1
] |
Mathlib/RingTheory/RootsOfUnity/Basic.lean | IsPrimitiveRoot.card_primitiveRoots | [
{
"state_after": "case pos\nM : Type ?u.3633248\nN : Type ?u.3633251\nG : Type ?u.3633254\nR : Type u_1\nS : Type ?u.3633260\nF : Type ?u.3633263\ninst✝⁴ : CommMonoid M\ninst✝³ : CommMonoid N\ninst✝² : DivisionCommMonoid G\nk✝ l : ℕ\ninst✝¹ : CommRing R\nζ✝ : Rˣ\nh✝ : IsPrimitiveRoot ζ✝ k✝\ninst✝ : IsDomain R\n... | [
889,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
871,
1
] |
Mathlib/Analysis/Convex/Between.lean | wbtw_vadd_const_iff | [] | [
195,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
193,
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Mathlib/RingTheory/ChainOfDivisors.lean | multiplicity_prime_le_multiplicity_image_by_factor_orderIso | [
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Mathlib/Data/Nat/Log.lean | Nat.clog_one_left | [] | [
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Mathlib/Topology/UniformSpace/Compact.lean | unique_uniformity_of_compact | [
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Mathlib/LinearAlgebra/Basis.lean | Basis.span_apply | [] | [
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Mathlib/Geometry/Euclidean/Angle/Unoriented/RightAngle.lean | InnerProductGeometry.cos_angle_sub_mul_norm_of_inner_eq_zero | [
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Mathlib/Algebra/Polynomial/BigOperators.lean | Polynomial.natDegree_multiset_prod_le | [
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Mathlib/Topology/PartitionOfUnity.lean | PartitionOfUnity.sum_eq_one | [] | [
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Mathlib/Analysis/Convex/Between.lean | Wbtw.trans_left | [
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Mathlib/Analysis/Convex/Join.lean | convexJoin_singleton_segment | [
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Mathlib/Analysis/Calculus/ContDiff.lean | contDiffWithinAt_fst | [] | [
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Mathlib/MeasureTheory/Group/FundamentalDomain.lean | MeasureTheory.IsFundamentalDomain.hasFiniteIntegral_on_iff | [
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Mathlib/Data/Real/NNReal.lean | NNReal.mul_finset_sup | [] | [
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Mathlib/Algebra/Order/Monoid/Lemmas.lean | StrictAnti.const_mul' | [] | [
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Mathlib/Computability/DFA.lean | DFA.evalFrom_of_pow | [
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Mathlib/LinearAlgebra/AffineSpace/AffineSubspace.lean | vectorSpan_image_eq_span_vsub_set_right_ne | [
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Mathlib/Order/Bounded.lean | Set.unbounded_lt_inter_le | [
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Mathlib/Combinatorics/SimpleGraph/Basic.lean | SimpleGraph.compl_neighborSet_disjoint | [
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Mathlib/Algebra/Algebra/Unitization.lean | Unitization.inl_add | [] | [
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Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.left_eq_zero_of_add_eq_zero | [] | [
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Mathlib/Order/Atoms.lean | Set.isCoatom_singleton_compl | [] | [
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Mathlib/MeasureTheory/Integral/LebesgueNormedSpace.lean | aemeasurable_withDensity_iff | [
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Mathlib/RingTheory/IntegralClosure.lean | IsIntegral.pow | [] | [
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Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.mk_psum | [] | [
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Mathlib/Analysis/Complex/OperatorNorm.lean | Complex.reClm_norm | [
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Mathlib/Data/Subtype.lean | Subtype.map_involutive | [] | [
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Mathlib/Algebra/Star/Subalgebra.lean | StarSubalgebra.coe_bot | [
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Mathlib/Data/Matrix/Basic.lean | Matrix.dotProduct_zero | [
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Mathlib/Data/Set/Lattice.lean | Set.mapsTo_iUnion_iUnion | [] | [
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Mathlib/CategoryTheory/Limits/Shapes/CommSq.lean | CategoryTheory.IsPullback.flip | [] | [
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Mathlib/Data/Matrix/Notation.lean | Matrix.submatrix_empty | [] | [
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Mathlib/Data/List/Perm.lean | List.perm_permutations'_iff | [] | [
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Mathlib/RingTheory/DedekindDomain/Ideal.lean | FractionalIdeal.spanSingleton_inv_mul | [
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Mathlib/MeasureTheory/Integral/IntegralEqImproper.lean | MeasureTheory.integrableOn_Ioi_of_intervalIntegral_norm_tendsto | [] | [
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Mathlib/Order/Lattice.lean | Monotone.forall_le_of_antitone | [] | [
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Mathlib/CategoryTheory/Closed/Monoidal.lean | CategoryTheory.MonoidalClosed.curry_injective | [] | [
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Mathlib/Data/Fin/Basic.lean | Fin.cast_addNat_zero | [] | [
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Mathlib/LinearAlgebra/FreeModule/IdealQuotient.lean | Ideal.finrank_quotient_eq_sum | [
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Mathlib/Order/Filter/Prod.lean | Filter.coprod_mono | [] | [
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Mathlib/Control/Fold.lean | Traversable.foldl.ofFreeMonoid_comp_of | [] | [
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Mathlib/Topology/Separation.lean | loc_compact_Haus_tot_disc_of_zero_dim | [
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Mathlib/LinearAlgebra/Dual.lean | LinearMap.dualMap_apply | [] | [
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Mathlib/Combinatorics/Additive/PluenneckeRuzsa.lean | Finset.card_div_mul_le_card_div_mul_card_mul | [
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src/lean/Init/Data/List/Control.lean | List.forM_cons | [] | [
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Mathlib/Data/Fin/Tuple/Basic.lean | Fin.insertNth_mem_Icc | [
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Mathlib/MeasureTheory/Function/SimpleFuncDenseLp.lean | MeasureTheory.Lp.simpleFunc.toLp_neg | [] | [
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Mathlib/Algebra/Support.lean | Function.support_mul | [] | [
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Mathlib/Probability/ProbabilityMassFunction/Basic.lean | Pmf.toMeasure_apply_eq_zero_iff | [
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Mathlib/Topology/Maps.lean | IsClosedMap.to_quotientMap | [] | [
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Mathlib/Algebra/RingQuot.lean | RingQuot.eq_liftAlgHom_comp_mkAlgHom | [
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6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
680,
1
] |
Mathlib/Topology/GDelta.lean | isGδ_sInter | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.5691\nγ : Type ?u.5694\nι : Type ?u.5697\ninst✝ : TopologicalSpace α\nS : Set (Set α)\nh : ∀ (s : Set α), s ∈ S → IsGδ s\nhS : Set.Countable S\n⊢ IsGδ (⋂₀ S)",
"tactic": "simpa only [sInter_eq_biInter] using isGδ_biInter hS h"
}
] | [
100,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
99,
1
] |
Mathlib/CategoryTheory/Preadditive/InjectiveResolution.lean | CategoryTheory.InjectiveResolution.complex_d_comp | [] | [
114,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
112,
1
] |
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