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/CategoryTheory/CommSq.lean | CategoryTheory.CommSq.of_arrow | [] | [
63,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
62,
1
] |
Mathlib/Topology/Algebra/Nonarchimedean/AdicTopology.lean | Ideal.adic_basis | [
{
"state_after": "R : Type u_1\ninst✝ : CommRing R\nI : Ideal R\n⊢ ∀ (i j : ℕ), ∃ k, I ^ k ≤ I ^ i ∧ I ^ k ≤ I ^ j",
"state_before": "R : Type u_1\ninst✝ : CommRing R\nI : Ideal R\n⊢ ∀ (i j : ℕ), ∃ k, I ^ k • ⊤ ≤ I ^ i • ⊤ ⊓ I ^ j • ⊤",
"tactic": "suffices ∀ i j : ℕ, ∃ k, I ^ k ≤ I ^ i ∧ I ^ k ≤ I ^ j b... | [
77,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
58,
1
] |
Mathlib/LinearAlgebra/AffineSpace/Combination.lean | Finset.sum_smul_vsub_const_eq_weightedVSub | [
{
"state_after": "no goals",
"state_before": "k : Type u_1\nV : Type u_3\nP : Type u_4\ninst✝² : Ring k\ninst✝¹ : AddCommGroup V\ninst✝ : Module k V\nS : AffineSpace V P\nι : Type u_2\ns : Finset ι\nι₂ : Type ?u.202333\ns₂ : Finset ι₂\nw : ι → k\np₁ : ι → P\np₂ : P\nh : ∑ i in s, w i = 0\n⊢ ∑ i in s, w i • ... | [
324,
85
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
322,
1
] |
Mathlib/Data/Polynomial/Mirror.lean | Polynomial.mirror_eq_iff | [] | [
138,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
137,
1
] |
Mathlib/Analysis/Calculus/FDeriv/Basic.lean | differentiable_id' | [] | [
1025,
93
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1025,
1
] |
Mathlib/Analysis/InnerProductSpace/Orthogonal.lean | Submodule.orthogonal_le | [] | [
159,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
158,
1
] |
Mathlib/RingTheory/Ideal/Cotangent.lean | Ideal.toCotangent_eq | [
{
"state_after": "R : Type u\nS : Type v\nS' : Type w\ninst✝⁶ : CommRing R\ninst✝⁵ : CommSemiring S\ninst✝⁴ : Algebra S R\ninst✝³ : CommSemiring S'\ninst✝² : Algebra S' R\ninst✝¹ : Algebra S S'\ninst✝ : IsScalarTower S S' R\nI : Ideal R\nx y : { x // x ∈ I }\n⊢ ↑(toCotangent I) x - ↑(toCotangent I) y = 0 ↔ ↑x -... | [
81,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
79,
1
] |
Mathlib/Topology/Algebra/Monoid.lean | LocallyFinite.exists_finset_mulSupport | [
{
"state_after": "case intro.intro\nι : Type u_2\nα : Type ?u.448737\nX : Type u_3\nM✝ : Type ?u.448743\nN : Type ?u.448746\ninst✝⁴ : TopologicalSpace X\ninst✝³ : TopologicalSpace M✝\ninst✝² : CommMonoid M✝\ninst✝¹ : ContinuousMul M✝\nM : Type u_1\ninst✝ : CommMonoid M\nf : ι → X → M\nhf : LocallyFinite fun i =... | [
795,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
789,
1
] |
Mathlib/Data/Multiset/Basic.lean | Multiset.not_mem_mono | [] | [
529,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
528,
1
] |
Mathlib/LinearAlgebra/Matrix/Determinant.lean | Matrix.det_unique | [
{
"state_after": "no goals",
"state_before": "m : Type ?u.179266\nn✝ : Type ?u.179269\ninst✝⁷ : DecidableEq n✝\ninst✝⁶ : Fintype n✝\ninst✝⁵ : DecidableEq m\ninst✝⁴ : Fintype m\nR : Type v\ninst✝³ : CommRing R\nn : Type u_1\ninst✝² : Unique n\ninst✝¹ : DecidableEq n\ninst✝ : Fintype n\nA : Matrix n n R\n⊢ de... | [
122,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
121,
1
] |
Mathlib/Computability/Primrec.lean | PrimrecPred.comp | [] | [
494,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
492,
1
] |
Mathlib/Topology/Algebra/Order/MonotoneContinuity.lean | StrictMonoOn.continuousWithinAt_right_of_closure_image_mem_nhdsWithin | [] | [
113,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
109,
1
] |
Mathlib/Computability/TuringMachine.lean | Turing.Tape.write_move_right_n | [
{
"state_after": "case zero\nΓ : Type u_1\ninst✝ : Inhabited Γ\nf : Γ → Γ\nL✝ R✝ L R : ListBlank Γ\n⊢ write (f (ListBlank.nth R Nat.zero)) ((move Dir.right^[Nat.zero]) (mk' L R)) =\n (move Dir.right^[Nat.zero]) (mk' L (ListBlank.modifyNth f Nat.zero R))\n\ncase succ\nΓ : Type u_1\ninst✝ : Inhabited Γ\nf : Γ ... | [
711,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
704,
1
] |
Mathlib/FieldTheory/IntermediateField.lean | toSubalgebra_toIntermediateField | [
{
"state_after": "case h\nK : Type u_1\nL : Type u_2\nL' : Type ?u.77095\ninst✝⁴ : Field K\ninst✝³ : Field L\ninst✝² : Field L'\ninst✝¹ : Algebra K L\ninst✝ : Algebra K L'\nS✝ : IntermediateField K L\nS : Subalgebra K L\ninv_mem : ∀ (x : L), x ∈ S → x⁻¹ ∈ S\nx✝ : L\n⊢ x✝ ∈ (Subalgebra.toIntermediateField S inv_... | [
298,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
295,
1
] |
Mathlib/Logic/IsEmpty.lean | Subtype.isEmpty_of_false | [] | [
74,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
73,
1
] |
Mathlib/Data/Holor.lean | Holor.slice_unitVec_mul | [
{
"state_after": "no goals",
"state_before": "α : Type\nd : ℕ\nds ds₁ ds₂ ds₃ : List ℕ\ninst✝ : Ring α\ni j : ℕ\nhid : i < d\nx : Holor α ds\nt : HolorIndex ds\nh : i = j\n⊢ slice (unitVec d j ⊗ x) i hid t = ite (i = j) x 0 t",
"tactic": "simp [slice, mul, HolorIndex.take, unitVec, HolorIndex.drop, h]"
... | [
269,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
265,
1
] |
Mathlib/SetTheory/Cardinal/Cofinality.lean | Ordinal.cof_blsub_le | [
{
"state_after": "α : Type ?u.39412\nr : α → α → Prop\no : Ordinal\nf : (a : Ordinal) → a < o → Ordinal\n⊢ cof (blsub o f) ≤ Cardinal.lift (card o)",
"state_before": "α : Type ?u.39412\nr : α → α → Prop\no : Ordinal\nf : (a : Ordinal) → a < o → Ordinal\n⊢ cof (blsub o f) ≤ card o",
"tactic": "rw [← o.ca... | [
440,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
438,
1
] |
Mathlib/Data/Finset/Basic.lean | Finset.insert_sdiff_of_mem | [
{
"state_after": "α : Type u_1\nβ : Type ?u.241033\nγ : Type ?u.241036\ninst✝ : DecidableEq α\ns✝ t u v : Finset α\na b : α\ns : Finset α\nx : α\nh : x ∈ t\n⊢ insert x ↑s \\ ↑t = ↑s \\ ↑t",
"state_before": "α : Type u_1\nβ : Type ?u.241033\nγ : Type ?u.241036\ninst✝ : DecidableEq α\ns✝ t u v : Finset α\na b... | [
2183,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2181,
1
] |
Mathlib/LinearAlgebra/LinearIndependent.lean | eq_of_linearIndependent_of_span_subtype | [
{
"state_after": "ι : Type u'\nι' : Type ?u.605779\nR : Type u_1\nK : Type ?u.605785\nM : Type u_2\nM' : Type ?u.605791\nM'' : Type ?u.605794\nV : Type u\nV' : Type ?u.605799\nv : ι → M\ninst✝⁷ : Ring R\ninst✝⁶ : AddCommGroup M\ninst✝⁵ : AddCommGroup M'\ninst✝⁴ : AddCommGroup M''\ninst✝³ : Module R M\ninst✝² : ... | [
967,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
955,
1
] |
Mathlib/Analysis/LocallyConvex/Polar.lean | LinearMap.polar_union | [] | [
97,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
96,
1
] |
Mathlib/Data/Set/Basic.lean | Set.union_compl_self | [] | [
1718,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1717,
1
] |
Mathlib/Topology/Inseparable.lean | inseparable_iff_specializes_and | [] | [
273,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
272,
1
] |
Mathlib/Algebra/Star/StarAlgHom.lean | StarAlgEquiv.toRingEquiv_eq_coe | [] | [
772,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
771,
1
] |
Mathlib/LinearAlgebra/Basis.lean | Basis.smul_eq_zero | [] | [
789,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
787,
11
] |
Mathlib/Algebra/Hom/Equiv/Basic.lean | MulEquiv.eq_symm_comp | [] | [
439,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
437,
1
] |
Mathlib/Algebra/Module/LinearMap.lean | LinearMap.id_apply | [] | [
274,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
273,
1
] |
Mathlib/Data/ZMod/Basic.lean | ZMod.ringHom_map_cast | [
{
"state_after": "case zero\nR : Type u_1\ninst✝ : Ring R\nf : R →+* ZMod Nat.zero\nk : ZMod Nat.zero\n⊢ ↑f ↑k = k\n\ncase succ\nR : Type u_1\ninst✝ : Ring R\nn✝ : ℕ\nf : R →+* ZMod (Nat.succ n✝)\nk : ZMod (Nat.succ n✝)\n⊢ ↑f ↑k = k",
"state_before": "n : ℕ\nR : Type u_1\ninst✝ : Ring R\nf : R →+* ZMod n\nk... | [
1167,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1163,
1
] |
Mathlib/Data/Polynomial/FieldDivision.lean | Polynomial.X_sub_C_dvd_derivative_of_X_sub_C_dvd_divByMonic | [
{
"state_after": "R : Type u\nS : Type v\nk : Type y\nA : Type z\na✝ b : R\nn : ℕ\ninst✝¹ : Field R\np q : R[X]\nK : Type u_1\ninst✝ : Field K\nf : K[X]\na : K\nhf : X - ↑C a ∣ f /ₘ (X - ↑C a)\nkey : f /ₘ (X - ↑C a) + (X - ↑C a) * ↑derivative (f /ₘ (X - ↑C a)) = ↑derivative f\n⊢ X - ↑C a ∣ ↑derivative f",
"... | [
527,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
522,
1
] |
Mathlib/CategoryTheory/Monoidal/OfChosenFiniteProducts/Symmetric.lean | CategoryTheory.MonoidalOfChosenFiniteProducts.hexagon_reverse | [
{
"state_after": "C : Type u\ninst✝ : Category C\nX✝ Y✝ : C\n𝒯 : LimitCone (Functor.empty C)\nℬ : (X Y : C) → LimitCone (pair X Y)\nX Y Z : C\n⊢ (BinaryFan.associatorOfLimitCone ℬ X Y Z).inv ≫\n (IsLimit.conePointUniqueUpToIso (ℬ (tensorObj ℬ X Y) Z).isLimit\n (IsLimit.swapBinaryFan (ℬ Z (tenso... | [
78,
9
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
61,
1
] |
Mathlib/Data/Set/Pointwise/Basic.lean | Set.mem_mul | [] | [
338,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
337,
1
] |
Mathlib/MeasureTheory/Measure/WithDensityVectorMeasure.lean | MeasureTheory.WithDensityᵥEq.congr_ae | [
{
"state_after": "case pos\nα : Type u_1\nβ : Type ?u.63324\nm : MeasurableSpace α\nμ ν : Measure α\nE : Type u_2\ninst✝² : NormedAddCommGroup E\ninst✝¹ : NormedSpace ℝ E\ninst✝ : CompleteSpace E\nf✝ g✝ f g : α → E\nh : f =ᶠ[ae μ] g\nhf : Integrable f\n⊢ withDensityᵥ μ f = withDensityᵥ μ g\n\ncase neg\nα : Type... | [
159,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
152,
1
] |
Mathlib/LinearAlgebra/Matrix/SesquilinearForm.lean | Matrix.toLinearMap₂_compl₁₂ | [
{
"state_after": "no goals",
"state_before": "R : Type u_3\nR₁ : Type ?u.1948955\nR₂ : Type ?u.1948958\nM✝ : Type ?u.1948961\nM₁ : Type u_8\nM₂ : Type u_9\nM₁' : Type u_6\nM₂' : Type u_7\nn : Type u_1\nm : Type u_2\nn' : Type u_4\nm' : Type u_5\nι : Type ?u.1948988\ninst✝¹⁶ : CommRing R\ninst✝¹⁵ : AddCommMo... | [
512,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
506,
1
] |
Mathlib/Algebra/Hom/Group.lean | map_one | [] | [
226,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
225,
1
] |
Mathlib/Data/Set/Basic.lean | Set.inclusion_injective | [] | [
2809,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2808,
1
] |
Mathlib/RingTheory/FractionalIdeal.lean | FractionalIdeal.spanSingleton_le_iff_mem | [
{
"state_after": "no goals",
"state_before": "R : Type u_1\ninst✝⁶ : CommRing R\nS : Submonoid R\nP : Type u_2\ninst✝⁵ : CommRing P\ninst✝⁴ : Algebra R P\nloc : IsLocalization S P\nR₁ : Type ?u.1304874\ninst✝³ : CommRing R₁\nK : Type ?u.1304880\ninst✝² : Field K\ninst✝¹ : Algebra R₁ K\ninst✝ : IsFractionRin... | [
1320,
85
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1318,
1
] |
Mathlib/Algebra/DirectLimit.lean | Module.DirectLimit.induction_on | [] | [
142,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
139,
11
] |
Mathlib/Analysis/Calculus/FDeriv/Add.lean | fderiv_neg | [
{
"state_after": "no goals",
"state_before": "𝕜 : Type u_3\ninst✝⁸ : NontriviallyNormedField 𝕜\nE : Type u_1\ninst✝⁷ : NormedAddCommGroup E\ninst✝⁶ : NormedSpace 𝕜 E\nF : Type u_2\ninst✝⁵ : NormedAddCommGroup F\ninst✝⁴ : NormedSpace 𝕜 F\nG : Type ?u.436745\ninst✝³ : NormedAddCommGroup G\ninst✝² : Normed... | [
466,
76
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
465,
1
] |
Mathlib/Algebra/Order/Nonneg/Ring.lean | Nonneg.coe_mul | [] | [
217,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
215,
11
] |
Mathlib/Topology/Algebra/Module/LocallyConvex.lean | LocallyConvexSpace.convex_basis_zero | [] | [
71,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
69,
1
] |
Mathlib/GroupTheory/Perm/Cycle/Basic.lean | Equiv.Perm.IsCycle.cycleOf_eq | [
{
"state_after": "no goals",
"state_before": "ι : Type ?u.2371171\nα : Type u_1\nβ : Type ?u.2371177\ninst✝¹ : DecidableEq α\ninst✝ : Fintype α\nf g : Perm α\nx y✝ : α\nhf : IsCycle f\nhx : ↑f x ≠ x\ny : α\nh : SameCycle f x y\n⊢ ↑(cycleOf f x) y = ↑f y",
"tactic": "rw [h.cycleOf_apply]"
},
{
"s... | [
1045,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1040,
1
] |
Mathlib/Data/Real/NNReal.lean | NNReal.ne_iff | [] | [
107,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
106,
1
] |
Mathlib/Data/Set/Finite.lean | Set.Finite.infinite_compl | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nι : Sort w\nγ : Type x\ninst✝ : Infinite α\ns : Set α\nhs : Set.Finite s\nh : Set.Finite (sᶜ)\n⊢ Set.Finite univ",
"tactic": "simpa using hs.union h"
}
] | [
1304,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1303,
1
] |
Mathlib/Init/Data/Bool/Lemmas.lean | Bool.coe_false | [
{
"state_after": "no goals",
"state_before": "⊢ (false = true) = False",
"tactic": "simp"
}
] | [
112,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
112,
1
] |
Mathlib/Topology/Algebra/GroupWithZero.lean | continuousOn_zpow₀ | [] | [
326,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
325,
1
] |
Mathlib/Topology/Algebra/GroupWithZero.lean | ContinuousWithinAt.inv₀ | [] | [
126,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
124,
8
] |
Mathlib/Analysis/LocallyConvex/WithSeminorms.lean | WithSeminorms.continuous_seminorm | [
{
"state_after": "𝕜 : Type ?u.440749\n𝕜₂ : Type ?u.440752\n𝕝 : Type u_1\n𝕝₂ : Type ?u.440758\nE : Type u_2\nF : Type ?u.440764\nG : Type ?u.440767\nι : Type u_3\nι' : Type ?u.440773\ninst✝⁷ : NormedField 𝕜\ninst✝⁶ : AddCommGroup E\ninst✝⁵ : Module 𝕜 E\ninst✝⁴ : Nonempty ι\nt : TopologicalSpace E\ninst✝³ :... | [
447,
95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
442,
1
] |
Mathlib/Logic/Function/Basic.lean | Function.Injective.of_comp | [] | [
129,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
128,
1
] |
Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.lift_mk_eq | [] | [
321,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
317,
1
] |
Mathlib/Data/Dfinsupp/Basic.lean | Dfinsupp.neg_apply | [] | [
304,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
303,
1
] |
Mathlib/RingTheory/RootsOfUnity/Basic.lean | IsPrimitiveRoot.coe_units_iff | [
{
"state_after": "no goals",
"state_before": "M : Type u_1\nN : Type ?u.1881352\nG : Type ?u.1881355\nR : Type ?u.1881358\nS : Type ?u.1881361\nF : Type ?u.1881364\ninst✝² : CommMonoid M\ninst✝¹ : CommMonoid N\ninst✝ : DivisionCommMonoid G\nk l : ℕ\nζ✝ : M\nf : F\nh : IsPrimitiveRoot ζ✝ k\nζ : Mˣ\n⊢ IsPrimi... | [
414,
78
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
413,
1
] |
Mathlib/Data/Polynomial/CancelLeads.lean | Polynomial.natDegree_cancelLeads_lt_of_natDegree_le_natDegree_of_comm | [
{
"state_after": "case pos\nR : Type u_1\ninst✝ : Ring R\np q : R[X]\ncomm : leadingCoeff p * leadingCoeff q = leadingCoeff q * leadingCoeff p\nh : natDegree p ≤ natDegree q\nhq : 0 < natDegree q\nhp : p = 0\n⊢ natDegree (cancelLeads p q) < natDegree q\n\ncase neg\nR : Type u_1\ninst✝ : Ring R\np q : R[X]\ncomm... | [
76,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
54,
1
] |
Mathlib/GroupTheory/Solvable.lean | map_derivedSeries_eq | [] | [
97,
97
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
95,
1
] |
Mathlib/Algebra/DirectSum/Module.lean | DirectSum.IsInternal.addSubmonoid_independent | [] | [
429,
76
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
427,
1
] |
Mathlib/Data/Nat/Basic.lean | Nat.pred_eq_self_iff | [
{
"state_after": "no goals",
"state_before": "m n✝ k n : ℕ\n⊢ pred n = n ↔ n = 0",
"tactic": "cases n <;> simp [(Nat.succ_ne_self _).symm]"
}
] | [
809,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
808,
1
] |
Mathlib/Combinatorics/SimpleGraph/Connectivity.lean | SimpleGraph.Walk.mem_support_iff_exists_append | [
{
"state_after": "case mp\nV✝ : Type u\nV' : Type v\nV'' : Type w\nG✝ : SimpleGraph V✝\nG' : SimpleGraph V'\nG'' : SimpleGraph V''\ninst✝ : DecidableEq V✝\nV : Type u\nG : SimpleGraph V\nu v w : V\np : Walk G u v\n⊢ w ∈ support p → ∃ q r, p = append q r\n\ncase mpr\nV✝ : Type u\nV' : Type v\nV'' : Type w\nG✝ : ... | [
1080,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1074,
1
] |
Mathlib/SetTheory/Cardinal/Cofinality.lean | Ordinal.lsub_lt_ord_lift | [
{
"state_after": "α : Type ?u.28987\nr : α → α → Prop\nι : Type u\nf : ι → Ordinal\nhι : Cardinal.lift (#ι) < cof (lsub f)\nhf : ∀ (i : ι), f i < lsub f\n⊢ False",
"state_before": "α : Type ?u.28987\nr : α → α → Prop\nι : Type u\nf : ι → Ordinal\nc : Ordinal\nhι : Cardinal.lift (#ι) < cof c\nhf : ∀ (i : ι),... | [
335,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
330,
1
] |
Mathlib/Data/Finset/Basic.lean | Finset.union_eq_union_iff_left | [] | [
1494,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1493,
1
] |
Mathlib/Algebra/Order/Group/Defs.lean | Left.inv_le_self | [] | [
444,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
443,
1
] |
Mathlib/Computability/TMToPartrec.lean | Turing.PartrecToTM2.K'.elim_update_main | [
{
"state_after": "case h\na b c d a' : List Γ'\nx : K'\n⊢ update (elim a b c d) main a' x = elim a' b c d x",
"state_before": "a b c d a' : List Γ'\n⊢ update (elim a b c d) main a' = elim a' b c d",
"tactic": "funext x"
},
{
"state_after": "no goals",
"state_before": "case h\na b c d a' : Li... | [
1283,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1282,
1
] |
Mathlib/Analysis/InnerProductSpace/Basic.lean | InnerProductSpace.Core.inner_self_ne_zero | [] | [
271,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
270,
1
] |
Mathlib/Topology/MetricSpace/Basic.lean | Metric.tendsto_nhdsWithin_nhds | [
{
"state_after": "α : Type u\nβ : Type v\nX : Type ?u.99263\nι : Type ?u.99266\ninst✝¹ : PseudoMetricSpace α\nx y z : α\nδ ε ε₁ ε₂ : ℝ\ns : Set α\ninst✝ : PseudoMetricSpace β\nf : α → β\na : α\nb : β\n⊢ (∀ (ε : ℝ), ε > 0 → ∃ δ, δ > 0 ∧ ∀ {x : α}, x ∈ s → dist x a < δ → f x ∈ univ ∧ dist (f x) b < ε) ↔\n ∀ (ε... | [
1044,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1040,
1
] |
Mathlib/LinearAlgebra/AffineSpace/AffineSubspace.lean | affineSpan_eq_bot | [
{
"state_after": "no goals",
"state_before": "k : Type u_2\nV : Type u_3\nP : Type u_1\ninst✝³ : Ring k\ninst✝² : AddCommGroup V\ninst✝¹ : Module k V\ninst✝ : AffineSpace V P\nι : Type ?u.336276\ns : Set P\n⊢ affineSpan k s = ⊥ ↔ s = ∅",
"tactic": "rw [← not_iff_not, ← Ne.def, ← Ne.def, ← nonempty_iff_n... | [
1166,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1164,
1
] |
Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.restrict_union' | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.297875\nγ : Type ?u.297878\nδ : Type ?u.297881\nι : Type ?u.297884\nR : Type ?u.297887\nR' : Type ?u.297890\nm0 : MeasurableSpace α\ninst✝¹ : MeasurableSpace β\ninst✝ : MeasurableSpace γ\nμ μ₁ μ₂ μ₃ ν ν' ν₁ ν₂ : Measure α\ns s' t : Set ... | [
1734,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1732,
1
] |
Mathlib/Analysis/Convex/Gauge.lean | gauge_smul | [
{
"state_after": "no goals",
"state_before": "𝕜 : Type u_1\nE : Type u_2\nF : Type ?u.169480\ninst✝⁴ : AddCommGroup E\ninst✝³ : Module ℝ E\ns t : Set E\na : ℝ\ninst✝² : IsROrC 𝕜\ninst✝¹ : Module 𝕜 E\ninst✝ : IsScalarTower ℝ 𝕜 E\nhs : Balanced 𝕜 s\nr : 𝕜\nx : E\n⊢ gauge s (r • x) = ‖r‖ * gauge s x",
... | [
324,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
323,
1
] |
Mathlib/Algebra/Order/Group/MinMax.lean | max_inv_inv' | [] | [
50,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
47,
1
] |
Mathlib/Analysis/Calculus/ContDiff.lean | ContDiff.clm_comp | [] | [
886,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
884,
1
] |
Mathlib/GroupTheory/Index.lean | Subgroup.relindex_subgroupOf | [] | [
121,
98
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
119,
1
] |
Mathlib/LinearAlgebra/SesquilinearForm.lean | LinearMap.IsAdjointPair.sub | [
{
"state_after": "no goals",
"state_before": "R : Type u_1\nR₁ : Type ?u.337838\nR₂ : Type ?u.337841\nR₃ : Type ?u.337844\nM : Type u_2\nM₁ : Type u_3\nM₂ : Type ?u.337853\nMₗ₁ : Type ?u.337856\nMₗ₁' : Type ?u.337859\nMₗ₂ : Type ?u.337862\nMₗ₂' : Type ?u.337865\nK : Type ?u.337868\nK₁ : Type ?u.337871\nK₂ :... | [
484,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
482,
1
] |
Mathlib/Order/CompleteLattice.lean | OrderIso.map_iSup | [
{
"state_after": "no goals",
"state_before": "α : Type u_2\nβ : Type u_1\nβ₂ : Type ?u.79767\nγ : Type ?u.79770\nι : Sort u_3\nι' : Sort ?u.79776\nκ : ι → Sort ?u.79781\nκ' : ι' → Sort ?u.79786\ninst✝¹ : CompleteLattice α\nf✝ g s t : ι → α\na b : α\ninst✝ : CompleteLattice β\nf : α ≃o β\nx✝ : ι → α\nx : α\n... | [
968,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
965,
1
] |
Mathlib/Analysis/Asymptotics/Theta.lean | Asymptotics.IsTheta.isLittleO_congr_right | [] | [
179,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
178,
1
] |
Mathlib/AlgebraicGeometry/StructureSheaf.lean | AlgebraicGeometry.StructureSheaf.toStalk_comp_stalkToFiberRingHom | [
{
"state_after": "R : Type u\ninst✝ : CommRing R\nx : ↑(PrimeSpectrum.Top R)\n⊢ toOpen R ⊤ ≫\n openToLocalization R ⊤ ↑{ val := x, property := True.intro } (_ : ↑{ val := x, property := True.intro } ∈ ⊤) =\n algebraMap R (Localization.AtPrime x.asIdeal)",
"state_before": "R : Type u\ninst✝ : CommRin... | [
562,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
559,
1
] |
Mathlib/Data/Set/Lattice.lean | Set.iInter_eq_univ | [] | [
716,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
715,
1
] |
Mathlib/Combinatorics/SimpleGraph/Connectivity.lean | SimpleGraph.coe_finsetWalkLength_eq | [
{
"state_after": "case zero\nV : Type u\nV' : Type v\nV'' : Type w\nG : SimpleGraph V\nG' : SimpleGraph V'\nG'' : SimpleGraph V''\ninst✝¹ : DecidableEq V\ninst✝ : LocallyFinite G\nu✝ v✝ u v : V\n⊢ ↑(finsetWalkLength G Nat.zero u v) = {p | Walk.length p = Nat.zero}\n\ncase succ\nV : Type u\nV' : Type v\nV'' : Ty... | [
2363,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2350,
1
] |
src/lean/Init/Prelude.lean | ne_false_of_eq_true | [] | [
653,
35
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
651,
1
] |
Std/Data/String/Lemmas.lean | Substring.prevn_zero | [
{
"state_after": "no goals",
"state_before": "s : Substring\nn : Nat\n⊢ prevn s (n + 1) 0 = 0",
"tactic": "simp [prevn, prevn_zero s n]"
}
] | [
769,
43
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
767,
9
] |
Mathlib/FieldTheory/RatFunc.lean | RatFunc.eval_eq_zero_of_eval₂_denom_eq_zero | [
{
"state_after": "no goals",
"state_before": "K : Type u\ninst✝¹ : Field K\nL : Type u_1\ninst✝ : Field L\nf : K →+* L\na : L\nx : RatFunc K\nh : Polynomial.eval₂ f a (denom x) = 0\n⊢ eval f a x = 0",
"tactic": "rw [eval, h, div_zero]"
}
] | [
1478,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1477,
1
] |
Mathlib/Data/Sym/Sym2.lean | Sym2.out_fst_mem | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.34339\nγ : Type ?u.34342\ne : Sym2 α\n⊢ e = Quotient.mk (Rel.setoid α) ((Quotient.out e).fst, (Quotient.out e).snd)",
"tactic": "rw [Prod.mk.eta, e.out_eq]"
}
] | [
343,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
342,
1
] |
Mathlib/Algebra/Order/Archimedean.lean | exists_floor | [
{
"state_after": "α : Type u_1\ninst✝¹ : StrictOrderedRing α\ninst✝ : Archimedean α\nx : α\nthis : (a : Prop) → Decidable a\n⊢ ∃ fl, ∀ (z : ℤ), z ≤ fl ↔ ↑z ≤ x",
"state_before": "α : Type u_1\ninst✝¹ : StrictOrderedRing α\ninst✝ : Archimedean α\nx : α\n⊢ ∃ fl, ∀ (z : ℤ), z ≤ fl ↔ ↑z ≤ x",
"tactic": "hav... | [
169,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
159,
1
] |
Mathlib/Data/Set/Intervals/Group.lean | Set.add_mem_Ioo_iff_right | [] | [
97,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
96,
1
] |
Std/Data/Int/Lemmas.lean | Int.mul_nonneg | [
{
"state_after": "a b : Int\nha : 0 ≤ a\nhb : 0 ≤ b\nn : Nat\nhn : a = ↑n\n⊢ 0 ≤ a * b",
"state_before": "a b : Int\nha : 0 ≤ a\nhb : 0 ≤ b\n⊢ 0 ≤ a * b",
"tactic": "let ⟨n, hn⟩ := eq_ofNat_of_zero_le ha"
},
{
"state_after": "a b : Int\nha : 0 ≤ a\nhb : 0 ≤ b\nn : Nat\nhn : a = ↑n\nm : Nat\nhm :... | [
647,
47
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
644,
11
] |
Mathlib/Data/Finset/Lattice.lean | Finset.le_sup_iff | [
{
"state_after": "case mp\nF : Type ?u.208752\nα : Type u_1\nβ : Type ?u.208758\nγ : Type ?u.208761\nι : Type u_2\nκ : Type ?u.208767\ninst✝¹ : LinearOrder α\ninst✝ : OrderBot α\ns : Finset ι\nf : ι → α\na : α\nha : ⊥ < a\n⊢ a ≤ sup s f → ∃ b, b ∈ s ∧ a ≤ f b\n\ncase mpr\nF : Type ?u.208752\nα : Type u_1\nβ : T... | [
688,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
679,
11
] |
Mathlib/Data/List/Basic.lean | List.foldlRecOn_nil | [] | [
2591,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2589,
1
] |
Mathlib/Analysis/Convex/SpecificFunctions/Basic.lean | convexOn_pow | [
{
"state_after": "case zero\n\n⊢ ConvexOn ℝ (Ici 0) fun x => x ^ Nat.zero\n\ncase succ\nk : ℕ\nIH : ConvexOn ℝ (Ici 0) fun x => x ^ k\n⊢ ConvexOn ℝ (Ici 0) fun x => x ^ Nat.succ k",
"state_before": "n : ℕ\n⊢ ConvexOn ℝ (Ici 0) fun x => x ^ n",
"tactic": "induction' n with k IH"
},
{
"state_after... | [
99,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
80,
1
] |
Mathlib/Data/Fintype/Units.lean | Fintype.card_units_int | [] | [
31,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
31,
1
] |
Mathlib/Geometry/Euclidean/Basic.lean | EuclideanGeometry.inter_eq_singleton_orthogonalProjectionFn | [
{
"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\n⊢ IsCompl (direction s) (direction s... | [
258,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
250,
1
] |
Mathlib/LinearAlgebra/ProjectiveSpace/Basic.lean | Projectivization.map_injective | [
{
"state_after": "case h\nK : Type u_1\nV : Type u_3\ninst✝⁶ : DivisionRing K\ninst✝⁵ : AddCommGroup V\ninst✝⁴ : Module K V\nL : Type u_2\nW : Type u_4\ninst✝³ : DivisionRing L\ninst✝² : AddCommGroup W\ninst✝¹ : Module L W\nσ : K →+* L\nτ : L →+* K\ninst✝ : RingHomInvPair σ τ\nf : V →ₛₗ[σ] W\nhf : Function.Inje... | [
217,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
211,
1
] |
Mathlib/Data/MvPolynomial/Basic.lean | MvPolynomial.support_sum | [] | [
568,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
566,
1
] |
Mathlib/RingTheory/MvPolynomial/Symmetric.lean | MvPolynomial.esymm_eq_sum_monomial | [
{
"state_after": "σ : Type u_1\nR : Type u_2\nτ : Type ?u.91991\nS : Type ?u.91994\ninst✝³ : CommSemiring R\ninst✝² : CommSemiring S\ninst✝¹ : Fintype σ\ninst✝ : Fintype τ\nn : ℕ\n⊢ esymm σ R n = ∑ x in powersetLen n univ, ∏ x in x, ↑(monomial (Finsupp.single x 1)) 1",
"state_before": "σ : Type u_1\nR : Typ... | [
190,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
187,
1
] |
Mathlib/LinearAlgebra/AffineSpace/AffineSubspace.lean | AffineSubspace.le_def | [] | [
625,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
624,
1
] |
Mathlib/Data/Set/Pointwise/Basic.lean | Set.isUnit_iff | [
{
"state_after": "case mp\nF : Type ?u.88413\nα : Type u_1\nβ : Type ?u.88419\nγ : Type ?u.88422\ninst✝ : DivisionMonoid α\ns t : Set α\n⊢ IsUnit s → ∃ a, s = {a} ∧ IsUnit a\n\ncase mpr\nF : Type ?u.88413\nα : Type u_1\nβ : Type ?u.88419\nγ : Type ?u.88422\ninst✝ : DivisionMonoid α\ns t : Set α\n⊢ (∃ a, s = {a}... | [
1080,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1072,
1
] |
Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.power_def | [] | [
494,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
493,
1
] |
Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.IsLittleO.congr_left | [] | [
363,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
362,
1
] |
Mathlib/RingTheory/HahnSeries.lean | HahnSeries.mul_coeff | [] | [
639,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
636,
1
] |
Mathlib/Data/Polynomial/Degree/Definitions.lean | Polynomial.natDegree_X_sub_C_le | [] | [
1324,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1323,
1
] |
Mathlib/Data/Sym/Card.lean | Finset.card_sym2 | [
{
"state_after": "α : Type u_1\nβ : Type ?u.120254\ninst✝ : DecidableEq α\ns : Finset α\n⊢ Disjoint (image Quotient.mk' (Finset.diag s)) (image Quotient.mk' (offDiag s))",
"state_before": "α : Type u_1\nβ : Type ?u.120254\ninst✝ : DecidableEq α\ns : Finset α\n⊢ Finset.card (Finset.sym2 s) = Finset.card s * ... | [
208,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
197,
1
] |
Mathlib/Topology/ContinuousOn.lean | ContinuousWithinAt.prod_map | [
{
"state_after": "α : Type u_1\nβ : Type u_2\nγ : Type u_3\nδ : Type u_4\ninst✝³ : TopologicalSpace α\ninst✝² : TopologicalSpace β\ninst✝¹ : TopologicalSpace γ\ninst✝ : TopologicalSpace δ\nf : α → γ\ng : β → δ\ns : Set α\nt : Set β\nx : α\ny : β\nhf : Tendsto f (𝓝[s] x) (𝓝 (f x))\nhg : Tendsto g (𝓝[t] y) (𝓝... | [
567,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
562,
1
] |
Mathlib/Data/PNat/Prime.lean | PNat.not_prime_one | [] | [
145,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
144,
1
] |
Mathlib/Analysis/Calculus/Deriv/Add.lean | deriv_const_sub | [
{
"state_after": "no goals",
"state_before": "𝕜 : Type u\ninst✝⁴ : NontriviallyNormedField 𝕜\nF : Type v\ninst✝³ : NormedAddCommGroup F\ninst✝² : NormedSpace 𝕜 F\nE : Type w\ninst✝¹ : NormedAddCommGroup E\ninst✝ : NormedSpace 𝕜 E\nf f₀ f₁ g : 𝕜 → F\nf' f₀' f₁' g' : F\nx : 𝕜\ns t : Set 𝕜\nL : Filter �... | [
377,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
375,
1
] |
Mathlib/Algebra/Order/Floor.lean | Nat.floor_div_nat | [
{
"state_after": "case inl\nF : Type ?u.94914\nα : Type u_1\nβ : Type ?u.94920\ninst✝¹ : LinearOrderedSemifield α\ninst✝ : FloorSemiring α\na : α\nn : ℕ\nha : a ≤ 0\n⊢ ⌊a / ↑n⌋₊ = ⌊a⌋₊ / n\n\ncase inr\nF : Type ?u.94914\nα : Type u_1\nβ : Type ?u.94920\ninst✝¹ : LinearOrderedSemifield α\ninst✝ : FloorSemiring α... | [
520,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
507,
1
] |
Mathlib/Data/Set/Intervals/OrdConnectedComponent.lean | Set.nonempty_ordConnectedComponent | [] | [
61,
89
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
60,
1
] |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.