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/Instances/NNReal.lean | continuous_real_toNNReal | [] | [
84,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
83,
1
] |
Mathlib/Algebra/CharP/Two.lean | CharTwo.sum_sq | [] | [
116,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
115,
1
] |
Mathlib/LinearAlgebra/Basic.lean | Submodule.map_mono | [] | [
735,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
734,
1
] |
Mathlib/Algebra/Order/Monoid/Lemmas.lean | mul_lt_of_le_of_lt_one | [] | [
562,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
556,
1
] |
Mathlib/Algebra/Hom/Ring.lean | RingHom.isUnit_map | [] | [
655,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
654,
1
] |
Mathlib/Algebra/Algebra/Operations.lean | Submodule.mul_mem_mul_rev | [] | [
594,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
593,
1
] |
Mathlib/Analysis/SpecialFunctions/Pow/NNReal.lean | ENNReal.rpow_le_self_of_le_one | [
{
"state_after": "x : ℝ≥0∞\nz : ℝ\nhx : x ≤ 1\nh_one_le : 1 ≤ z\n⊢ x ^ z ≤ x ^ 1",
"state_before": "x : ℝ≥0∞\nz : ℝ\nhx : x ≤ 1\nh_one_le : 1 ≤ z\n⊢ x ^ z ≤ x",
"tactic": "nth_rw 2 [← ENNReal.rpow_one x]"
},
{
"state_after": "no goals",
"state_before": "x : ℝ≥0∞\nz : ℝ\nhx : x ≤ 1\nh_one_le ... | [
641,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
639,
1
] |
Mathlib/Order/Hom/Bounded.lean | BoundedOrderHom.symm_dual_comp | [] | [
828,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
825,
1
] |
Mathlib/CategoryTheory/Yoneda.lean | CategoryTheory.Yoneda.naturality | [] | [
72,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
70,
1
] |
Mathlib/Data/Finset/Card.lean | Finset.exists_smaller_set | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.45242\ns t : Finset α\nf : α → β\nn : ℕ\nA : Finset α\ni : ℕ\nh₁ : i ≤ card A\n⊢ i + card ∅ ≤ card A",
"tactic": "simpa"
}
] | [
493,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
490,
1
] |
Mathlib/Topology/Algebra/Order/MonotoneConvergence.lean | iSup_eq_of_tendsto | [] | [
307,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
304,
1
] |
Mathlib/LinearAlgebra/Ray.lean | SameRay.exists_eq_smul_add | [
{
"state_after": "case inl\nR : Type u_1\ninst✝² : LinearOrderedField R\nM : Type u_2\ninst✝¹ : AddCommGroup M\ninst✝ : Module R M\nx y v₂ : M\n⊢ ∃ a b, 0 ≤ a ∧ 0 ≤ b ∧ a + b = 1 ∧ 0 = a • (0 + v₂) ∧ v₂ = b • (0 + v₂)\n\ncase inr.inl\nR : Type u_1\ninst✝² : LinearOrderedField R\nM : Type u_2\ninst✝¹ : AddCommGr... | [
693,
98
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
681,
1
] |
Mathlib/Data/Fin/Basic.lean | Fin.coe_fin_one | [
{
"state_after": "no goals",
"state_before": "n m : ℕ\na : Fin 1\n⊢ ↑a = 0",
"tactic": "simp [Subsingleton.elim a 0]"
}
] | [
1938,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1938,
1
] |
Mathlib/Geometry/Manifold/Metrizable.lean | ManifoldWithCorners.metrizableSpace | [
{
"state_after": "E : Type u_1\ninst✝⁷ : NormedAddCommGroup E\ninst✝⁶ : NormedSpace ℝ E\ninst✝⁵ : FiniteDimensional ℝ E\nH : Type u_2\ninst✝⁴ : TopologicalSpace H\nI : ModelWithCorners ℝ E H\nM : Type u_3\ninst✝³ : TopologicalSpace M\ninst✝² : ChartedSpace H M\ninst✝¹ : SigmaCompactSpace M\ninst✝ : T2Space M\nt... | [
35,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
27,
1
] |
Mathlib/Algebra/Order/Floor.lean | Int.lt_succ_floor | [] | [
682,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
681,
1
] |
Mathlib/Order/Hom/Basic.lean | OrderIso.withTopCongr_refl | [] | [
1325,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1324,
1
] |
Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.count_apply_lt_top | [] | [
2271,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2267,
1
] |
Mathlib/Data/Set/Basic.lean | Set.Subsingleton.monotoneOn | [] | [
2677,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2676,
11
] |
Mathlib/MeasureTheory/Covering/Besicovitch.lean | Besicovitch.TauPackage.lastStep_nonempty | [
{
"state_after": "α : Type u_1\ninst✝¹ : MetricSpace α\nβ : Type u\ninst✝ : Nonempty β\np : TauPackage β α\nh :\n ¬Set.Nonempty\n {i | ¬∃ b, ¬BallPackage.c p.toBallPackage b ∈ iUnionUpTo p i ∧ R p i ≤ p.τ * BallPackage.r p.toBallPackage b}\n⊢ False",
"state_before": "α : Type u_1\ninst✝¹ : MetricSpace... | [
317,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
295,
1
] |
Mathlib/GroupTheory/Subsemigroup/Centralizer.lean | Set.mem_centralizer_iff | [] | [
48,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
47,
1
] |
Mathlib/RingTheory/Ideal/Operations.lean | Submodule.mem_ideal_smul_span_iff_exists_sum' | [
{
"state_after": "no goals",
"state_before": "R : Type u\nM : Type v\nF : Type ?u.155008\nG : Type ?u.155011\ninst✝⁴ : CommSemiring R\ninst✝³ : AddCommMonoid M\ninst✝² : Module R M\nI J : Ideal R\nN P : Submodule R M\nS : Set R\nT : Set M\nM' : Type w\ninst✝¹ : AddCommMonoid M'\ninst✝ : Module R M'\nι : Typ... | [
330,
79
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
328,
1
] |
Mathlib/Order/CompleteLattice.lean | sInf_eq_iInf | [] | [
933,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
932,
1
] |
Mathlib/Order/Filter/Pointwise.lean | Filter.mem_smul_filter | [] | [
1186,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1185,
1
] |
Mathlib/LinearAlgebra/Alternating.lean | LinearMap.coe_compAlternatingMap | [] | [
501,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
499,
1
] |
Mathlib/Topology/MetricSpace/PiNat.lean | PiNat.exists_retraction_of_isClosed | [
{
"state_after": "case intro.intro.intro\nE : ℕ → Type u_1\ninst✝¹ : (n : ℕ) → TopologicalSpace (E n)\ninst✝ : ∀ (n : ℕ), DiscreteTopology (E n)\ns : Set ((n : ℕ) → E n)\nhs : IsClosed s\nhne : Set.Nonempty s\nf : ((n : ℕ) → E n) → (n : ℕ) → E n\nfs : ∀ (x : (n : ℕ) → E n), x ∈ s → f x = x\nfrange : range f = s... | [
705,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
702,
1
] |
Mathlib/GroupTheory/Solvable.lean | derivedSeries_zero | [] | [
49,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
48,
1
] |
Mathlib/Data/Finset/Lattice.lean | Finset.inf_top | [] | [
390,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
389,
1
] |
Mathlib/Analysis/Calculus/ContDiff.lean | ContDiffOn.neg | [] | [
1285,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1284,
1
] |
Mathlib/Topology/Algebra/InfiniteSum/Ring.lean | tsum_mul_right | [
{
"state_after": "no goals",
"state_before": "ι : Type u_2\nκ : Type ?u.19284\nR : Type ?u.19287\nα : Type u_1\ninst✝³ : DivisionSemiring α\ninst✝² : TopologicalSpace α\ninst✝¹ : TopologicalSemiring α\nf g : ι → α\na a₁ a₂ : α\ninst✝ : T2Space α\nhf : ¬Summable f\nha : a = 0\n⊢ (∑' (x : ι), f x * a) = (∑' (... | [
127,
93
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
123,
1
] |
Mathlib/Data/Set/Intervals/Instances.lean | Set.Icc.le_one | [] | [
114,
8
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
113,
1
] |
Mathlib/Analysis/InnerProductSpace/Orthogonal.lean | Submodule.isOrtho_sup_left | [] | [
345,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
344,
1
] |
Mathlib/NumberTheory/ModularForms/CongruenceSubgroups.lean | Gamma_mem' | [] | [
55,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
54,
1
] |
Mathlib/Algebra/Hom/Freiman.lean | FreimanHom.div_apply | [] | [
392,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
391,
1
] |
Mathlib/LinearAlgebra/QuadraticForm/Basic.lean | QuadraticForm.coeFn_sub | [] | [
517,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
516,
1
] |
Mathlib/Topology/Semicontinuous.lean | upperSemicontinuousWithinAt_ciInf | [] | [
1003,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
999,
1
] |
Mathlib/RingTheory/FreeRing.lean | FreeRing.lift_of | [] | [
88,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
87,
1
] |
Mathlib/Data/Real/Irrational.lean | Irrational.of_int_div | [] | [
428,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
427,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/Equalizers.lean | CategoryTheory.Limits.walkingParallelPairOp_right | [] | [
156,
79
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
155,
1
] |
Mathlib/Data/Polynomial/Eval.lean | Polynomial.comp_X | [
{
"state_after": "R : Type u\nS : Type v\nT : Type w\nι : Type y\na b : R\nm n : ℕ\ninst✝ : Semiring R\np q r : R[X]\n⊢ (sum p fun e a => ↑(monomial e) a) = p",
"state_before": "R : Type u\nS : Type v\nT : Type w\nι : Type y\na b : R\nm n : ℕ\ninst✝ : Semiring R\np q r : R[X]\n⊢ comp p X = p",
"tactic":... | [
537,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
535,
1
] |
Std/Data/Int/Lemmas.lean | Int.lt_neg_add_of_add_lt | [
{
"state_after": "a b c : Int\nh✝ : a + b < c\nh : -a + (a + b) < -a + c\n⊢ b < -a + c",
"state_before": "a b c : Int\nh : a + b < c\n⊢ b < -a + c",
"tactic": "have h := Int.add_lt_add_left h (-a)"
},
{
"state_after": "no goals",
"state_before": "a b c : Int\nh✝ : a + b < c\nh : -a + (a + b)... | [
1045,
37
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
1043,
11
] |
Mathlib/RingTheory/MvPolynomial/Homogeneous.lean | MvPolynomial.homogeneousComponent_apply | [] | [
264,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
261,
1
] |
Mathlib/Data/Nat/Basic.lean | Nat.mod_eq_iff_lt | [
{
"state_after": "case zero\nm n k a : ℕ\nh : zero ≠ 0\n⊢ a % zero = a ↔ a < zero\n\ncase succ\nm n k a n✝ : ℕ\nh : succ n✝ ≠ 0\n⊢ a % succ n✝ = a ↔ a < succ n✝",
"state_before": "m n k a b : ℕ\nh : b ≠ 0\n⊢ a % b = a ↔ a < b",
"tactic": "cases b"
},
{
"state_after": "case succ\nm n k a n✝ : ℕ\n... | [
696,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
693,
1
] |
Std/Data/Int/Lemmas.lean | Int.subNatNat_add_add | [
{
"state_after": "case hp\nm n k : Nat\n⊢ ∀ (i n : Nat), subNatNat (n + i + k) (n + k) = ↑i\n\ncase hn\nm n k : Nat\n⊢ ∀ (i m : Nat), subNatNat (m + k) (m + i + 1 + k) = -[i+1]",
"state_before": "m n k : Nat\n⊢ subNatNat (m + k) (n + k) = subNatNat m n",
"tactic": "apply subNatNat_elim m n (fun m n i =>... | [
128,
30
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
121,
1
] |
Mathlib/Data/Finset/Pointwise.lean | Finset.singleton_one | [] | [
104,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
103,
1
] |
Mathlib/Algebra/GCDMonoid/Div.lean | Finset.Nat.gcd_div_eq_one | [
{
"state_after": "case intro.intro\nβ : Type u_1\nf : β → ℕ\ns : Finset β\nx : β\nhx : x ∈ s\nhfz : f x ≠ 0\ng : β → ℕ\nhe : ∀ (b : β), b ∈ s → f b = gcd s f * g b\nhg : gcd s g = 1\n⊢ (gcd s fun b => f b / gcd s f) = 1",
"state_before": "β : Type u_1\nf : β → ℕ\ns : Finset β\nx : β\nhx : x ∈ s\nhfz : f x ≠... | [
45,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
40,
1
] |
Mathlib/Order/Filter/Extr.lean | IsMaxOn.on_subset | [] | [
289,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
288,
1
] |
Mathlib/Analysis/LocallyConvex/Basic.lean | Balanced.inter | [] | [
187,
73
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
186,
1
] |
Mathlib/Analysis/InnerProductSpace/Projection.lean | inner_orthogonalProjection_left_eq_right | [
{
"state_after": "no goals",
"state_before": "𝕜 : Type u_2\nE : Type u_1\nF : Type ?u.981861\ninst✝⁵ : IsROrC 𝕜\ninst✝⁴ : NormedAddCommGroup E\ninst✝³ : NormedAddCommGroup F\ninst✝² : InnerProductSpace 𝕜 E\ninst✝¹ : InnerProductSpace ℝ F\nK : Submodule 𝕜 E\ninst✝ : CompleteSpace { x // x ∈ K }\nu v : E\... | [
1070,
95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1068,
1
] |
Mathlib/Combinatorics/SimpleGraph/Connectivity.lean | SimpleGraph.Walk.length_reverseAux | [
{
"state_after": "no goals",
"state_before": "V : Type u\nV' : Type v\nV'' : Type w\nG : SimpleGraph V\nG' : SimpleGraph V'\nG'' : SimpleGraph V''\nu v w : V\np : Walk G u v\nq : Walk G u w\n⊢ length (Walk.reverseAux p q) = length p + length q",
"tactic": "induction p with\n| nil => simp!\n| cons _ _ ih... | [
418,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
414,
11
] |
Mathlib/Combinatorics/SimpleGraph/Basic.lean | SimpleGraph.neighborFinset_compl | [
{
"state_after": "no goals",
"state_before": "ι : Sort ?u.283769\n𝕜 : Type ?u.283772\nV : Type u\nW : Type v\nX : Type w\nG : SimpleGraph V\nG' : SimpleGraph W\na b c u v✝ w : V\ne : Sym2 V\ninst✝² : Fintype V\ninst✝¹ : DecidableEq V\ninst✝ : DecidableRel G.Adj\nv : V\n⊢ neighborFinset (Gᶜ) v = neighborFin... | [
1485,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1482,
1
] |
Mathlib/RingTheory/Subsemiring/Basic.lean | Subsemiring.comap_inf | [] | [
1019,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1018,
1
] |
Mathlib/MeasureTheory/Measure/Lebesgue/Basic.lean | Real.smul_map_diagonal_volume_pi | [
{
"state_after": "ι : Type u_1\ninst✝¹ : Fintype ι\ninst✝ : DecidableEq ι\nD : ι → ℝ\nh : det (Matrix.diagonal D) ≠ 0\ns : ι → Set ℝ\nhs : ∀ (i : ι), MeasurableSet (s i)\n⊢ ↑↑(ofReal (abs (det (Matrix.diagonal D))) • Measure.map (↑(↑toLin' (Matrix.diagonal D))) volume) (Set.pi univ s) =\n ∏ i : ι, ↑↑volume (... | [
378,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
356,
1
] |
Mathlib/Data/Dfinsupp/Basic.lean | Dfinsupp.single_zero | [] | [
649,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
648,
1
] |
Mathlib/NumberTheory/Padics/PadicVal.lean | padicValInt.of_ne_one_ne_zero | [
{
"state_after": "p : ℕ\nz : ℤ\nhp : p ≠ 1\nhz : z ≠ 0\n⊢ Int.natAbs ↑p ≠ 1 ∧ z ≠ 0",
"state_before": "p : ℕ\nz : ℤ\nhp : p ≠ 1\nhz : z ≠ 0\n⊢ (multiplicity (↑p) z).Dom",
"tactic": "apply multiplicity.finite_int_iff.2"
},
{
"state_after": "no goals",
"state_before": "p : ℕ\nz : ℤ\nhp : p ≠ 1... | [
119,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
112,
1
] |
Mathlib/Algebra/Order/Ring/Lemmas.lean | lt_mul_iff_one_lt_left | [
{
"state_after": "no goals",
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"tactic": "rw [one_mul]"
}
] | [
649,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
647,
1
] |
Mathlib/RingTheory/Ideal/Basic.lean | Ideal.span_empty | [] | [
124,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
123,
1
] |
Mathlib/Computability/Partrec.lean | Computable.vector_length | [] | [
378,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
377,
1
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Mathlib/Analysis/Convex/Between.lean | sbtw_zero_one_iff | [
{
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461,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
457,
1
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Mathlib/Combinatorics/SimpleGraph/Triangle/Basic.lean | SimpleGraph.FarFromTriangleFree.nonpos | [
{
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74,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
70,
1
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Mathlib/CategoryTheory/Abelian/Projective.lean | CategoryTheory.exact_d_f | [
{
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},
{
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40,
86
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38,
1
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Mathlib/Analysis/Calculus/BumpFunctionInner.lean | ContDiffBump.pos_of_mem_ball | [
{
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415,
65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
414,
1
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Mathlib/SetTheory/Game/PGame.lean | PGame.mk_lf | [] | [
610,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
609,
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Mathlib/RingTheory/Polynomial/Quotient.lean | Ideal.polynomialQuotientEquivQuotientPolynomial_map_mk | [
{
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154,
85
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
150,
1
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Mathlib/Algebra/Periodic.lean | Function.Periodic.neg_nat_mul | [] | [
214,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
213,
1
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Mathlib/Topology/MetricSpace/MetricSeparated.lean | IsMetricSeparated.finset_iUnion_right_iff | [] | [
135,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
133,
1
] |
Mathlib/Order/Hom/Bounded.lean | TopHom.symm_dual_comp | [] | [
744,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
742,
1
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Mathlib/Order/CompleteLattice.lean | iSup_ge_eq_iSup_nat_add | [
{
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1630,
67
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1625,
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Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometry.id_toLinearMap | [] | [
384,
6
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383,
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Mathlib/Data/Seq/Seq.lean | Stream'.Seq.join_append | [
{
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810,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
790,
1
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Mathlib/RingTheory/Multiplicity.lean | multiplicity.finite_of_finite_mul_left | [
{
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"tactic": "rw [mul_comm]"
},
{
"state_after": "no goals",
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310,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
309,
1
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Mathlib/Data/Polynomial/Derivative.lean | Polynomial.derivative_C_mul_X_pow | [
{
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"tactic": "rw [C_mul_X_pow_eq_monomial, C_mul_X_pow_eq_monomial, derivative_monomial]"
... | [
104,
77
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
102,
1
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Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.pow_cast_right | [] | [
599,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
598,
1
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Mathlib/Data/Finsupp/Defs.lean | Finsupp.single_eq_same | [
{
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328,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
327,
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Mathlib/Analysis/NormedSpace/CompactOperator.lean | IsCompactOperator.image_subset_compact_of_isVonNBounded | [
{
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111,
87
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
103,
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Std/Data/Option/Lemmas.lean | Option.map_id' | [] | [
142,
60
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142,
9
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Mathlib/Order/Filter/Lift.lean | Filter.lift_const | [] | [
184,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
183,
1
] |
Mathlib/Data/Sym/Sym2.lean | Sym2.filter_image_quotient_mk''_not_isDiag | [
{
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"state_before": "α : Type u_1\nβ : Type ?u.118486\nγ : Type ?u.118489\nins... | [
758,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
746,
1
] |
Mathlib/Data/ZMod/Basic.lean | ZMod.ringChar_zmod_n | [
{
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},
{
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"state_before": "n : ℕ\n⊢ CharP (ZMod n) n",
"tactic": "exact ZMod.charP n"
}
] | [
127,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
125,
1
] |
Mathlib/Computability/Language.lean | Language.mem_one | [
{
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}
] | [
105,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
105,
1
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Mathlib/Topology/Sheaves/LocalPredicate.lean | TopCat.subpresheafToTypes.isSheaf | [
{
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223,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
193,
1
] |
Mathlib/Data/Rat/Lemmas.lean | Rat.div_int_inj | [
{
"state_after": "case left\na b c d : ℤ\nhb0 : 0 < b\nhd0 : 0 < d\nh1 : Nat.coprime (Int.natAbs a) (Int.natAbs b)\nh2 : Nat.coprime (Int.natAbs c) (Int.natAbs d)\nh : ↑a / ↑b = ↑c / ↑d\n⊢ a = c\n\ncase right\na b c d : ℤ\nhb0 : 0 < b\nhd0 : 0 < d\nh1 : Nat.coprime (Int.natAbs a) (Int.natAbs b)\nh2 : Nat.coprim... | [
229,
73
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
225,
1
] |
src/lean/Init/Data/Nat/Basic.lean | Nat.pred_lt' | [] | [
528,
32
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
527,
1
] |
Mathlib/LinearAlgebra/Lagrange.lean | Lagrange.nodal_insert_eq_nodal | [
{
"state_after": "no goals",
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"tactic": "simp_rw [nodal, prod_insert hi]"
}
] | [
537,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
536,
1
] |
Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.limitRecOn_succ | [
{
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335,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
328,
1
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.IsFiniteMeasureOnCompacts.smul | [] | [
3965,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
3963,
11
] |
Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.IsBigO.trans_eventuallyEq | [] | [
393,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
391,
1
] |
Mathlib/Algebra/BigOperators/Basic.lean | Finset.prod_flip | [
{
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1468,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1463,
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Std/Logic.lean | Exists.choose_spec | [] | [
442,
97
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
442,
1
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Mathlib/Data/Int/Log.lean | Int.log_of_one_le_right | [] | [
66,
12
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
65,
1
] |
Mathlib/Data/Multiset/Basic.lean | Multiset.pairwise_coe_iff | [
{
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"tactic": "simp"
}
] | [
3008,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
3006,
1
] |
Mathlib/Data/Set/Prod.lean | MonotoneOn.set_prod | [] | [
445,
97
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
444,
1
] |
Mathlib/Data/Finite/Defs.lean | not_finite | [] | [
129,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
128,
1
] |
Mathlib/Data/List/Basic.lean | List.get_insertNth_add_succ | [
{
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"state_before": "ι : Type ?u.126934\nα : Type u\nβ : Type v\nγ : Type w\nδ : Type x\nl₁ l₂ : List α\na : α\nl : List α... | [
1743,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1733,
1
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Mathlib/Topology/Filter.lean | Filter.nhds_nhds | [
{
"state_after": "no goals",
"state_before": "ι : Sort ?u.21870\nα : Type ?u.21873\nβ : Type ?u.21876\nX : Type u_1\nY : Type ?u.21882\ninst✝ : TopologicalSpace X\nx : X\n⊢ 𝓝 (𝓝 x) = ⨅ (s : Set X) (_ : IsOpen s) (_ : x ∈ s), 𝓟 (Iic (𝓟 s))",
"tactic": "simp only [(nhds_basis_opens x).nhds.eq_biInf, i... | [
209,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
208,
1
] |
Mathlib/CategoryTheory/Sites/DenseSubsite.lean | CategoryTheory.CoverDense.compatiblePreserving | [
{
"state_after": "case Compatible\nC : Type u_3\ninst✝⁵ : Category C\nD : Type u_4\ninst✝⁴ : Category D\nE : Type ?u.142420\ninst✝³ : Category E\nJ : GrothendieckTopology C\nK : GrothendieckTopology D\nL : GrothendieckTopology E\nA : Type ?u.142472\ninst✝² : Category A\nG : C ⥤ D\nH : CoverDense K G\ninst✝¹ : F... | [
482,
12
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
472,
1
] |
Mathlib/MeasureTheory/Group/Action.lean | MeasureTheory.measure_isOpen_pos_of_smulInvariant_of_compact_ne_zero | [
{
"state_after": "no goals",
"state_before": "G : Type ?u.52553\nM : Type ?u.52556\nα : Type u_1\ns : Set α\nm : MeasurableSpace α\ninst✝⁷ : Group G\ninst✝⁶ : MulAction G α\ninst✝⁵ : MeasurableSpace G\ninst✝⁴ : MeasurableSMul G α\nc : G\nμ : Measure α\ninst✝³ : SMulInvariantMeasure G α μ\ninst✝² : Topologic... | [
218,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
212,
1
] |
Mathlib/Order/SymmDiff.lean | bihimp_eq_right | [] | [
699,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
698,
1
] |
Mathlib/Data/Finset/LocallyFinite.lean | Finset.image_add_left_Icc | [
{
"state_after": "ι : Type ?u.233124\nα : Type u_1\ninst✝³ : OrderedCancelAddCommMonoid α\ninst✝² : ExistsAddOfLE α\ninst✝¹ : LocallyFiniteOrder α\ninst✝ : DecidableEq α\na b c : α\n⊢ image ((fun x x_1 => x + x_1) c) (Icc a b) = image (↑(addLeftEmbedding c)) (Icc a b)",
"state_before": "ι : Type ?u.233124\n... | [
1101,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1099,
1
] |
Mathlib/Computability/Ackermann.lean | ack_add_one_sq_lt_ack_add_four | [
{
"state_after": "no goals",
"state_before": "m n : ℕ\n⊢ m ≤ m + 2",
"tactic": "linarith"
}
] | [
306,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
299,
1
] |
Mathlib/Algebra/GeomSum.lean | mul_geom_sum₂_Ico | [] | [
314,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
312,
1
] |
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