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/GroupTheory/GroupAction/Group.lean | IsUnit.smul_eq_zero | [] | [
393,
86
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
392,
1
] |
Mathlib/Order/PFilter.lean | Order.PFilter.inf_mem_iff | [] | [
168,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
167,
1
] |
Mathlib/Data/Seq/Computation.lean | Computation.map_congr | [
{
"state_after": "α : Type u\nβ : Type v\nγ : Type w\ns1 s2 : Computation α\nf : α → β\nh1 : s1 ~ s2\n⊢ LiftRel (fun x x_1 => x = x_1) (map f s1) (map f s2)",
"state_before": "α : Type u\nβ : Type v\nγ : Type w\ns1 s2 : Computation α\nf : α → β\nh1 : s1 ~ s2\n⊢ map f s1 ~ map f s2",
"tactic": "rw [← lif... | [
1241,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1238,
1
] |
Mathlib/Algebra/Star/Pointwise.lean | Set.image_star | [
{
"state_after": "α : Type u_1\ns t : Set α\na : α\ninst✝ : InvolutiveStar α\n⊢ star '' s = star ⁻¹' s",
"state_before": "α : Type u_1\ns t : Set α\na : α\ninst✝ : InvolutiveStar α\n⊢ star '' s = s⋆",
"tactic": "simp only [← star_preimage]"
},
{
"state_after": "no goals",
"state_before": "α ... | [
75,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
73,
1
] |
Mathlib/RingTheory/Subring/Pointwise.lean | Subring.smul_bot | [] | [
88,
12
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
87,
1
] |
Mathlib/Data/Set/Finite.lean | Set.infinite_image_iff | [] | [
1326,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1324,
1
] |
Mathlib/CategoryTheory/Sites/Types.lean | CategoryTheory.subcanonical_typesGrothendieckTopology | [] | [
182,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
181,
1
] |
Mathlib/Algebra/NeZero.lean | NeZero.ne' | [] | [
37,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
36,
1
] |
Mathlib/Data/Fin/Basic.lean | Fin.castSucc_zero | [] | [
1276,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1275,
1
] |
Mathlib/Analysis/Seminorm.lean | Seminorm.closedBall_finset_sup_eq_iInter | [
{
"state_after": "case intro\nR : Type ?u.1084542\nR' : Type ?u.1084545\n𝕜 : Type u_1\n𝕜₂ : Type ?u.1084551\n𝕜₃ : Type ?u.1084554\n𝕝 : Type ?u.1084557\nE : Type u_2\nE₂ : Type ?u.1084563\nE₃ : Type ?u.1084566\nF : Type ?u.1084569\nG : Type ?u.1084572\nι : Type u_3\ninst✝⁶ : SeminormedRing 𝕜\ninst✝⁵ : AddCo... | [
867,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
863,
1
] |
Mathlib/Data/Fin/Tuple/Basic.lean | Fin.insertNth_binop | [
{
"state_after": "no goals",
"state_before": "m n : ℕ\nα : Fin (n + 1) → Type u\nβ : Type v\nop : (j : Fin (n + 1)) → α j → α j → α j\ni : Fin (n + 1)\nx y : α i\np q : (j : Fin n) → α (↑(succAbove i) j)\n⊢ op i (insertNth i x p i) (insertNth i y q i) = op i x y ∧\n (fun j => op (↑(succAbove i) j) (p j) ... | [
763,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
759,
1
] |
Mathlib/Data/Matrix/Kronecker.lean | Matrix.kroneckerMap_zero_right | [] | [
101,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
99,
1
] |
Mathlib/Order/Filter/Basic.lean | Filter.map_mono | [] | [
2157,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2156,
1
] |
Mathlib/Geometry/Euclidean/Basic.lean | EuclideanGeometry.orthogonalProjection_vadd_eq_self | [
{
"state_after": "V : Type u_1\nP : Type u_2\ninst✝⁵ : NormedAddCommGroup V\ninst✝⁴ : InnerProductSpace ℝ V\ninst✝³ : MetricSpace P\ninst✝² : NormedAddTorsor V P\ns : AffineSubspace ℝ P\ninst✝¹ : Nonempty { x // x ∈ s }\ninst✝ : CompleteSpace { x // x ∈ direction s }\np : P\nhp : p ∈ s\nv : V\nhv : v ∈ (directi... | [
465,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
457,
1
] |
Mathlib/Data/Set/Basic.lean | Set.Nonempty.to_type | [] | [
544,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
544,
1
] |
Mathlib/CategoryTheory/Limits/Preserves/Shapes/Images.lean | CategoryTheory.PreservesImage.factorThruImage_comp_hom | [
{
"state_after": "no goals",
"state_before": "A : Type u₁\nB : Type u₂\ninst✝⁷ : Category A\ninst✝⁶ : Category B\ninst✝⁵ : HasEqualizers A\ninst✝⁴ : HasImages A\ninst✝³ : StrongEpiCategory B\ninst✝² : HasImages B\nL : A ⥤ B\ninst✝¹ : {X Y Z : A} → (f : X ⟶ Z) → (g : Y ⟶ Z) → PreservesLimit (cospan f g) L\ni... | [
61,
85
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
60,
1
] |
Mathlib/Data/PEquiv.lean | PEquiv.ofSet_eq_some_self_iff | [] | [
244,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
242,
1
] |
Mathlib/Data/Finset/Pointwise.lean | Finset.isUnit_iff_singleton | [
{
"state_after": "no goals",
"state_before": "F : Type ?u.613237\nα : Type u_1\nβ : Type ?u.613243\nγ : Type ?u.613246\ninst✝⁴ : DecidableEq α\ninst✝³ : DecidableEq β\ninst✝² : Group α\ninst✝¹ : DivisionMonoid β\ninst✝ : MonoidHomClass F α β\nf : F\ns t : Finset α\na b : α\n⊢ IsUnit s ↔ ∃ a, s = {a}",
"... | [
1146,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1145,
1
] |
Mathlib/Analysis/NormedSpace/Extr.lean | IsLocalMaxOn.norm_add_sameRay | [] | [
78,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
76,
1
] |
Mathlib/RingTheory/Ideal/Quotient.lean | Ideal.Quotient.quotient_ring_saturate | [
{
"state_after": "case h\nR : Type u\ninst✝ : CommRing R\nI✝ : Ideal R\na b : R\nS : Type v\nx✝ y : R\nI : Ideal R\ns : Set R\nx : R\n⊢ x ∈ ↑(mk I) ⁻¹' (↑(mk I) '' s) ↔ x ∈ ⋃ (x : { x // x ∈ I }), (fun y => ↑x + y) '' s",
"state_before": "R : Type u\ninst✝ : CommRing R\nI✝ : Ideal R\na b : R\nS : Type v\nx ... | [
179,
94
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
173,
1
] |
Mathlib/Combinatorics/Quiver/Cast.lean | Quiver.Path.cast_cons | [
{
"state_after": "U : Type u_1\ninst✝ : Quiver U\nv u' w' : U\np : Path u' v\ne : v ⟶ w'\n⊢ cast (_ : u' = u') (_ : w' = w') (cons p e) =\n cons (cast (_ : u' = u') (_ : v = v) p) (Hom.cast (_ : v = v) (_ : w' = w') e)",
"state_before": "U : Type u_1\ninst✝ : Quiver U\nu v w u' w' : U\np : Path u v\ne : ... | [
136,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
133,
1
] |
Mathlib/CategoryTheory/EssentiallySmall.lean | CategoryTheory.ShrinkHoms.to_from | [] | [
155,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
154,
1
] |
Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean | Real.Angle.two_nsmul_eq_pi_iff | [
{
"state_after": "θ : Angle\nh : ↑π = ↑(2 • (π / 2))\n⊢ 2 • θ = ↑π ↔ θ = ↑(π / 2) ∨ θ = ↑(-π / 2)",
"state_before": "θ : Angle\n⊢ 2 • θ = ↑π ↔ θ = ↑(π / 2) ∨ θ = ↑(-π / 2)",
"tactic": "have h : (π : Angle) = (2 : ℕ) • (π / 2 : ℝ) := by rw [two_nsmul, add_halves]"
},
{
"state_after": "θ : Angle\n... | [
236,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
229,
1
] |
Mathlib/Logic/Relation.lean | Relation.join_of_single | [] | [
623,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
622,
1
] |
Mathlib/Data/Real/EReal.lean | EReal.abs_bot | [] | [
1059,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1059,
9
] |
Mathlib/Order/ConditionallyCompleteLattice/Basic.lean | IsGreatest.csSup_mem | [] | [
551,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
550,
1
] |
Mathlib/Algebra/Hom/Freiman.lean | FreimanHom.toFun_eq_coe | [] | [
186,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
185,
1
] |
Mathlib/Analysis/InnerProductSpace/Basic.lean | inner_sub_right | [
{
"state_after": "no goals",
"state_before": "𝕜 : Type u_1\nE : Type u_2\nF : Type ?u.1770896\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 z : E\n⊢ inner x (y - z) = inner x y - ... | [
656,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
655,
1
] |
Mathlib/Topology/MetricSpace/Basic.lean | Metric.bounded_Icc | [] | [
2542,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2541,
1
] |
Mathlib/Order/SuccPred/Basic.lean | Order.succ_pred | [] | [
953,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
952,
1
] |
Mathlib/GroupTheory/Sylow.lean | Sylow.coe_smul | [] | [
250,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
249,
1
] |
Mathlib/LinearAlgebra/Matrix/Trace.lean | Matrix.trace_mul_cycle' | [
{
"state_after": "no goals",
"state_before": "ι : Type ?u.31878\nm : Type u_2\nn : Type u_3\np : Type u_4\nα : Type ?u.31890\nR : Type u_1\nS : Type ?u.31896\ninst✝³ : Fintype m\ninst✝² : Fintype n\ninst✝¹ : Fintype p\ninst✝ : NonUnitalCommSemiring R\nA : Matrix m n R\nB : Matrix n p R\nC : Matrix p m R\n⊢ ... | [
162,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
160,
1
] |
Std/Data/List/Basic.lean | List.range'_eq_range'TR | [
{
"state_after": "case h.h.h\ns n : Nat\nstep : optParam Nat 1\n⊢ range' s n step = range'TR s n step",
"state_before": "⊢ range' = range'TR",
"tactic": "funext s n step"
},
{
"state_after": "case h.h.h\ns n : Nat\nstep : optParam Nat 1\n⊢ range' s n step = range'TR s n step",
"state_before"... | [
1166,
24
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
1157,
10
] |
src/lean/Init/Core.lean | optParam_eq | [] | [
459,
79
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
459,
1
] |
Mathlib/Order/Cover.lean | covby_iff_Ioo_eq | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.30984\ninst✝¹ : Preorder α\ninst✝ : Preorder β\na b c : α\n⊢ (∀ ⦃c : α⦄, a < c → ¬c < b) ↔ Ioo a b = ∅",
"tactic": "simp [eq_empty_iff_forall_not_mem]"
}
] | [
342,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
341,
1
] |
Mathlib/NumberTheory/LegendreSymbol/MulCharacter.lean | MulChar.ext | [
{
"state_after": "case h\nR : Type u\ninst✝¹ : CommMonoid R\nR' : Type v\ninst✝ : CommMonoidWithZero R'\nχ χ' : MulChar R R'\nh : ∀ (a : Rˣ), ↑χ ↑a = ↑χ' ↑a\n⊢ ∀ (a : R), ↑χ a = ↑χ' a",
"state_before": "R : Type u\ninst✝¹ : CommMonoid R\nR' : Type v\ninst✝ : CommMonoidWithZero R'\nχ χ' : MulChar R R'\nh : ∀... | [
176,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
171,
1
] |
Mathlib/RingTheory/Ideal/LocalRing.lean | LocalRing.ResidueField.lift_residue_apply | [] | [
403,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
401,
1
] |
Mathlib/Data/Nat/Basic.lean | Nat.eq_of_lt_succ_of_not_lt | [] | [
158,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
156,
1
] |
Mathlib/Data/List/Basic.lean | List.getI_zero_eq_headI | [
{
"state_after": "no goals",
"state_before": "ι : Type ?u.507891\nα : Type u\nβ : Type v\nγ : Type w\nδ : Type x\nl₁ l₂ : List α\ninst✝ : Inhabited α\nl : List α\nx : α\nxs : List α\nn : ℕ\n⊢ getI l 0 = headI l",
"tactic": "cases l <;> rfl"
}
] | [
4502,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
4502,
1
] |
Mathlib/RingTheory/GradedAlgebra/HomogeneousIdeal.lean | HomogeneousIdeal.coe_bot | [] | [
350,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
349,
1
] |
Mathlib/Data/Matrix/Block.lean | Matrix.blockDiagonal_mul | [
{
"state_after": "case a.mk.h.mk\nl : Type ?u.153048\nm : Type u_4\nn : Type u_1\no : Type u_2\np : Type u_5\nq : Type ?u.153063\nm' : o → Type ?u.153068\nn' : o → Type ?u.153073\np' : o → Type ?u.153078\nR : Type ?u.153081\nS : Type ?u.153084\nα : Type u_3\nβ : Type ?u.153090\ninst✝³ : DecidableEq o\ninst✝² : ... | [
462,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
457,
1
] |
Mathlib/MeasureTheory/Integral/SetToL1.lean | MeasureTheory.DominatedFinMeasAdditive.add_measure_right | [] | [
248,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
246,
1
] |
Mathlib/Order/OmegaCompletePartialOrder.lean | CompleteLattice.top_continuous | [
{
"state_after": "α : Type u\nβ : Type v\ninst✝¹ : OmegaCompletePartialOrder α\ninst✝ : CompleteLattice β\nc : Chain α\n⊢ ↑⊤ (ωSup c) = ωSup (Chain.map c ⊤)",
"state_before": "α : Type u\nβ : Type v\ninst✝¹ : OmegaCompletePartialOrder α\ninst✝ : CompleteLattice β\n⊢ Continuous ⊤",
"tactic": "intro c"
... | [
510,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
507,
1
] |
Mathlib/Order/Bounds/Basic.lean | IsGLB.union | [] | [
454,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
452,
1
] |
Mathlib/Algebra/GroupWithZero/Power.lean | zpow_add₀ | [
{
"state_after": "case hz\nG₀ : Type u_1\ninst✝ : GroupWithZero G₀\na : G₀\nha : a ≠ 0\nm : ℤ\n⊢ a ^ (m + 0) = a ^ m * a ^ 0\n\ncase hp\nG₀ : Type u_1\ninst✝ : GroupWithZero G₀\na : G₀\nha : a ≠ 0\nm : ℤ\nn : ℕ\nihn : a ^ (m + ↑n) = a ^ m * a ^ ↑n\n⊢ a ^ (m + (↑n + 1)) = a ^ m * a ^ (↑n + 1)\n\ncase hn\nG₀ : Ty... | [
96,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
92,
1
] |
Mathlib/CategoryTheory/Sites/Sheafification.lean | CategoryTheory.GrothendieckTopology.sheafifyLift_unique | [
{
"state_after": "C : Type u\ninst✝³ : Category C\nJ : GrothendieckTopology C\nD : Type w\ninst✝² : Category D\ninst✝¹ : ∀ (P : Cᵒᵖ ⥤ D) (X : C) (S : Cover J X), HasMultiequalizer (Cover.index S P)\ninst✝ : ∀ (X : C), HasColimitsOfShape (Cover J X)ᵒᵖ D\nP Q : Cᵒᵖ ⥤ D\nη : P ⟶ Q\nhQ : Presheaf.IsSheaf J Q\nγ : s... | [
574,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
568,
1
] |
Mathlib/Data/Finsupp/ToDfinsupp.lean | Dfinsupp.toFinsupp_zero | [] | [
189,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
188,
1
] |
Mathlib/Data/List/Nodup.lean | List.nodup_iff_injective_get | [
{
"state_after": "case mk\nα : Type u\nβ : Type v\nl✝ l₁ l₂ : List α\nr : α → α → Prop\na b : α\nl : List α\nh : ∀ (i j : Fin (length l)), i < j → get l i ≠ get l j\nj : Fin (length l)\ni : ℕ\nhi : i < length l\nhg : get l { val := i, isLt := hi } = get l j\n⊢ { val := i, isLt := hi } = j",
"state_before": ... | [
105,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
96,
1
] |
Mathlib/Data/Real/ENatENNReal.lean | ENat.toENNReal_add | [] | [
93,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
92,
1
] |
Mathlib/Analysis/SpecialFunctions/Sqrt.lean | HasFDerivWithinAt.sqrt | [] | [
130,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
128,
1
] |
Mathlib/Data/Nat/Log.lean | Nat.clog_of_left_le_one | [
{
"state_after": "no goals",
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251,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
250,
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Mathlib/Algebra/Free.lean | FreeMagma.map_mul' | [] | [
179,
92
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
179,
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Mathlib/Data/Finset/LocallyFinite.lean | Finset.uIcc_subset_uIcc_left | [] | [
957,
35
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956,
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Mathlib/Algebra/Support.lean | Function.mulSupport_nonempty_iff | [
{
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Mathlib/Data/Set/Basic.lean | Set.union_comm | [] | [
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Mathlib/Analysis/Convex/Extreme.lean | extremePoints_convexHull_subset | [
{
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284,
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279,
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasurableEquiv.map_apply_eq_iff_map_symm_apply_eq | [
{
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73
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Mathlib/Order/Bounded.lean | Set.bounded_le_Iic | [] | [
187,
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186,
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Mathlib/SetTheory/ZFC/Basic.lean | PSet.Subset.congr_right | [] | [
264,
37
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255,
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Mathlib/Topology/Algebra/Module/LocallyConvex.lean | locallyConvexSpace_iInf | [
{
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Mathlib/Data/Polynomial/Basic.lean | Polynomial.support_eq_empty | [
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406,
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Mathlib/Data/Polynomial/Lifts.lean | Polynomial.smul_mem_lifts | [
{
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292,
52
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Mathlib/Order/UpperLower/Basic.lean | UpperSet.mem_Ioi_iff | [] | [
1102,
10
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1101,
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Mathlib/Analysis/SpecialFunctions/Arsinh.lean | HasFDerivAt.arsinh | [] | [
250,
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248,
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Mathlib/Combinatorics/SimpleGraph/Connectivity.lean | SimpleGraph.Walk.reverse_reverse | [
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{
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381,
29
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378,
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Mathlib/CategoryTheory/NatIso.lean | CategoryTheory.NatIso.naturality_1' | [
{
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182,
59
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181,
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Mathlib/Data/Sum/Interval.lean | Sum.Ioc_inr_inl | [] | [
189,
6
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188,
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Mathlib/Data/Complex/Basic.lean | Complex.lim_abs | [] | [
1331,
87
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1328,
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Mathlib/CategoryTheory/Adjunction/AdjointFunctorTheorems.lean | CategoryTheory.Limits.hasColimits_of_hasLimits_of_isCoseparating | [] | [
139,
65
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135,
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Mathlib/Data/Real/EReal.lean | EReal.coe_mul_top_of_pos | [] | [
907,
11
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
906,
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Mathlib/MeasureTheory/Function/LpSeminorm.lean | MeasureTheory.LpAddConst_lt_top | [
{
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813,
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806,
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Mathlib/Data/Num/Lemmas.lean | PosNum.cast_to_nat | [] | [
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59,
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Mathlib/Combinatorics/SimpleGraph/AdjMatrix.lean | SimpleGraph.adjMatrix_apply | [] | [
169,
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167,
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Mathlib/Algebra/Ring/Divisibility.lean | neg_dvd | [
{
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69,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Algebra/GroupPower/Order.lean | pow_le_pow_of_le_left | [
{
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468,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
459,
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Mathlib/Analysis/Normed/Field/Basic.lean | NormOneClass.induced | [] | [
1003,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
998,
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Mathlib/CategoryTheory/Monoidal/OfChosenFiniteProducts/Basic.lean | CategoryTheory.Limits.HasBinaryProduct.swap | [] | [
81,
97
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
80,
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Mathlib/Data/Finsupp/Defs.lean | Finsupp.erase_eq_sub_single | [
{
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1309,
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Mathlib/Analysis/SpecialFunctions/Complex/Arg.lean | Complex.arg_eq_neg_pi_div_two_iff | [
{
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273,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
264,
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Mathlib/MeasureTheory/Function/SimpleFunc.lean | MeasureTheory.SimpleFunc.coe_comp | [] | [
353,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
351,
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Mathlib/Data/Rat/Cast.lean | MonoidWithZeroHom.ext_rat | [] | [
466,
34
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464,
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Mathlib/Topology/Support.lean | HasCompactMulSupport.mul | [] | [
245,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
244,
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Mathlib/Logic/Equiv/LocalEquiv.lean | LocalEquiv.trans_source'' | [
{
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] | [
718,
53
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717,
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Mathlib/Algebra/CharP/Two.lean | CharTwo.bit0_eq_zero | [
{
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{
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42,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
40,
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Mathlib/Algebra/GroupPower/Identities.lean | pow_four_add_four_mul_pow_four' | [
{
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51,
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49,
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Mathlib/Analysis/Convex/Extreme.lean | IsExtreme.rfl | [] | [
79,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
78,
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Mathlib/Data/Set/Lattice.lean | Set.InjOn.image_iInter_eq | [
{
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1541,
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Mathlib/Data/Complex/Exponential.lean | Real.exp_pos | [
{
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},
{
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1498,
79
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1495,
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Mathlib/Topology/UniformSpace/Equicontinuity.lean | uniformEquicontinuous_iff_uniformContinuous | [
{
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270,
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267,
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Mathlib/RingTheory/FractionalIdeal.lean | FractionalIdeal.mul_one_div_le_one | [
{
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39
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1122,
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Mathlib/Topology/Instances/AddCircle.lean | AddCircle.addOrderOf_period_div | [
{
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381,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
372,
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Mathlib/Data/Sigma/Basic.lean | Sigma.mk.inj_iff | [
{
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61,
49
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58,
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Mathlib/Order/Minimal.lean | Set.Subsingleton.minimals_eq | [] | [
130,
16
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129,
1
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Mathlib/Algebra/Lie/Free.lean | FreeLieAlgebra.hom_ext | [
{
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273,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
270,
1
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Mathlib/CategoryTheory/Category/Grpd.lean | CategoryTheory.Grpd.hom_to_functor | [] | [
108,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
107,
1
] |
Mathlib/Data/Set/Basic.lean | Set.insert_def | [] | [
1105,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1104,
1
] |
Mathlib/Analysis/Calculus/Deriv/ZPow.lean | DifferentiableOn.zpow | [] | [
169,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
167,
1
] |
Mathlib/Analysis/Calculus/FDeriv/Mul.lean | HasStrictFDerivAt.const_mul | [] | [
465,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
463,
1
] |
Mathlib/Data/Real/Hyperreal.lean | Hyperreal.coe_mul | [] | [
100,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
99,
1
] |
Mathlib/Topology/MetricSpace/Basic.lean | dist_le_range_sum_dist | [] | [
245,
65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
243,
1
] |
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