file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
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|---|---|---|---|---|---|---|
Mathlib/LinearAlgebra/Basic.lean | Submodule.comap_bot | [] | [
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1612,
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Mathlib/LinearAlgebra/QuadraticForm/Basic.lean | QuadraticForm.ext_iff | [] | [
181,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
180,
1
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Mathlib/GroupTheory/Subgroup/Basic.lean | Group.mem_conjugatesOfSet_iff | [
{
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Mathlib/Topology/Homeomorph.lean | Homeomorph.map_nhds_eq | [
{
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] | [
376,
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Mathlib/MeasureTheory/Function/SimpleFunc.lean | MeasureTheory.SimpleFunc.map_lintegral | [
{
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Mathlib/Algebra/Order/Field/Basic.lean | div_le_div_of_le | [
{
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345,
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Mathlib/Analysis/Normed/Group/Seminorm.lean | GroupSeminorm.coe_le_coe | [] | [
237,
10
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236,
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Mathlib/LinearAlgebra/Orientation.lean | Basis.map_orientation_eq_det_inv_smul | [
{
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Mathlib/Topology/Instances/Matrix.lean | Continuous.matrix_mulVec | [] | [
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77
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
154,
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Mathlib/Analysis/BoxIntegral/Partition/Tagged.lean | BoxIntegral.TaggedPrepartition.IsSubordinate.diam_le | [] | [
291,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/MvPolynomial/Rename.lean | MvPolynomial.coeff_rename_eq_zero | [
{
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318,
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Mathlib/Data/List/Lemmas.lean | List.foldr_range_eq_of_range_eq | [] | [
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Mathlib/Data/Set/Basic.lean | Set.eq_univ_iff_forall | [] | [
690,
77
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
689,
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Mathlib/Logic/Basic.lean | Ne.dite_eq_left_iff | [] | [
1177,
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Mathlib/CategoryTheory/GlueData.lean | CategoryTheory.GlueData.diagramIso_app_left | [] | [
306,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Std/Data/List/Lemmas.lean | List.length_insert_of_not_mem | [
{
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"tactic": "rw [insert_of_not_mem h]"
},
{
"sta... | [
920,
75
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
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Mathlib/Order/Hom/Lattice.lean | LatticeHom.coe_comp_inf_hom' | [] | [
1131,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/LinearAlgebra/Matrix/Diagonal.lean | Matrix.ker_diagonal_toLin' | [
{
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68,
27
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Mathlib/Data/List/AList.lean | AList.singleton_entries | [] | [
140,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
139,
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Mathlib/Computability/PartrecCode.lean | Nat.Partrec.Code.eval_curry | [
{
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] | [
670,
94
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
670,
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Mathlib/Algebra/Order/Floor.lean | round_int_add | [
{
"state_after": "no goals",
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"tactic": "rw [add_comm, round_add_int, add_comm]"
}
] | [
1392,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1391,
1
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Mathlib/CategoryTheory/Iso.lean | CategoryTheory.IsIso.hom_inv_id_assoc | [
{
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"tactic": "simp [← Category.assoc]"
}
] | [
301,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
300,
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Mathlib/Data/Fintype/Card.lean | Fintype.card_plift | [] | [
374,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
373,
1
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Mathlib/Algebra/Quaternion.lean | Cardinal.mk_quaternionAlgebra | [
{
"state_after": "R : Type u_1\nc₁ c₂ : R\n⊢ (#R × R × R × R) = (#R) ^ 4",
"state_before": "R : Type u_1\nc₁ c₂ : R\n⊢ (#ℍ[R,c₁,c₂]) = (#R) ^ 4",
"tactic": "rw [mk_congr (QuaternionAlgebra.equivProd c₁ c₂)]"
},
{
"state_after": "R : Type u_1\nc₁ c₂ : R\n⊢ (#R) * ((#R) * ((#R) * (#R))) = (#R) ^ 4... | [
1431,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1428,
1
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Mathlib/Order/Hom/Set.lean | StrictMono.orderIsoOfSurjective_self_symm_apply | [] | [
134,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
132,
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Mathlib/AlgebraicTopology/SimplicialObject.lean | CategoryTheory.CosimplicialObject.δ_comp_σ_self | [
{
"state_after": "C : Type u\ninst✝ : Category C\nX : CosimplicialObject C\nn : ℕ\ni : Fin (n + 1)\n⊢ X.map (SimplexCategory.δ (↑Fin.castSucc i)) ≫ X.map (SimplexCategory.σ i) = 𝟙 (X.obj [n])",
"state_before": "C : Type u\ninst✝ : Category C\nX : CosimplicialObject C\nn : ℕ\ni : Fin (n + 1)\n⊢ δ X (↑Fin.ca... | [
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68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
529,
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Mathlib/Analysis/Calculus/Deriv/ZPow.lean | differentiableWithinAt_zpow | [] | [
84,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
82,
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Mathlib/Algebra/Homology/Exact.lean | CategoryTheory.exact_of_zero | [
{
"state_after": "V : Type u\ninst✝⁴ : Category V\ninst✝³ : HasImages V\nA✝ B C✝ D : V\nf : A✝ ⟶ B\ng✝ : B ⟶ C✝\nh : C✝ ⟶ D\ninst✝² : HasZeroObject V\ninst✝¹ : HasZeroMorphisms V\ninst✝ : HasKernels V\nA C : V\ng : 0 ⟶ C\n⊢ Exact 0 g",
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Mathlib/Data/List/Sort.lean | List.sorted_cons | [] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
74,
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Std/Data/Nat/Lemmas.lean | Nat.mul_lt_mul | [] | [
768,
97
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
767,
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Mathlib/Logic/Embedding/Basic.lean | Function.Embedding.apply_eq_iff_eq | [] | [
130,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
129,
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Mathlib/Data/Fin/VecNotation.lean | Matrix.empty_sub_empty | [] | [
493,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/Calculus/ContDiffDef.lean | iteratedFDeriv_one_apply | [
{
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Mathlib/MeasureTheory/Integral/SetIntegral.lean | MeasureTheory.integral_piecewise | [
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Mathlib/Algebra/Module/Torsion.lean | Module.isTorsionBySet_iff_is_torsion_by_span | [
{
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"tactic": "rw [isTorsionBySet_iff_torsionBySet_eq_top, isTorsionBySet_iff_torsi... | [
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39
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341,
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Mathlib/GroupTheory/QuotientGroup.lean | QuotientGroup.mk_one | [] | [
156,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
155,
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Std/Data/Nat/Gcd.lean | Nat.gcd_mul_left_left | [] | [
150,
85
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
149,
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Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean | MeasureTheory.ae_all_iff | [] | [
414,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
412,
1
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Mathlib/Order/UpperLower/Basic.lean | UpperSet.Ici_sSup | [
{
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"tactic": "simp only [mem_Ici_iff, mem_iSup_iff, sSup_le_if... | [
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Mathlib/Data/MvPolynomial/Rename.lean | MvPolynomial.rename_prod_mk_eval₂ | [
{
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213,
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209,
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Std/Data/Int/Lemmas.lean | Int.le_of_add_le_add_right | [
{
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}
] | [
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Mathlib/GroupTheory/Perm/Sign.lean | Equiv.Perm.closure_isSwap | [
{
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275,
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270,
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Mathlib/Data/Set/Basic.lean | Function.Injective.nonempty_apply_iff | [
{
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"tactic": "rw [nonempty_iff_ne_empty, ← h2, nonempty_iff_ne_empty, hf.ne_iff]"
}
] | [
2750,
69
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Mathlib/AlgebraicGeometry/PrimeSpectrum/Basic.lean | PrimeSpectrum.isCompact_basicOpen | [
{
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866,
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Mathlib/Data/Matrix/Basic.lean | Matrix.map_add | [] | [
355,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
353,
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Mathlib/AlgebraicGeometry/PresheafedSpace.lean | AlgebraicGeometry.PresheafedSpace.ofRestrict_top_c | [
{
"state_after": "C : Type ?u.248420\ninst✝ : Category C\nX : PresheafedSpace C\n⊢ X.presheaf =\n ((Opens.inclusionTopIso ↑X).inv ≫\n (ofRestrict X (_ : OpenEmbedding ((CategoryTheory.forget TopCat).map (Opens.inclusion ⊤)))).base) _*\n X.presheaf",
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
430,
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Mathlib/Analysis/SpecialFunctions/Arsinh.lean | Real.arsinh_strictMono | [] | [
141,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
140,
1
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Std/Data/Int/Lemmas.lean | Int.eq_zero_of_sign_eq_zero | [] | [
1277,
16
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
1276,
1
] |
Mathlib/MeasureTheory/Integral/SetToL1.lean | MeasureTheory.FinMeasAdditive.smul | [
{
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118,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
116,
1
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Mathlib/CategoryTheory/Category/Basic.lean | CategoryTheory.epi_of_epi | [
{
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342,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
336,
1
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Mathlib/Deprecated/Ring.lean | IsSemiringHom.id | [
{
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"tactic": "refine' { .. } <;> intros <;> rfl"
}
] | [
58,
75
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
58,
1
] |
Mathlib/CategoryTheory/Opposites.lean | CategoryTheory.op_id_unop | [] | [
106,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
105,
1
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src/lean/Init/Core.lean | Bool.of_not_eq_true | [] | [
595,
20
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
593,
1
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Mathlib/Order/Filter/Basic.lean | Filter.Eventually.filter_mono | [] | [
1085,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1083,
1
] |
Mathlib/SetTheory/Ordinal/Exponential.lean | Ordinal.log_zero_right | [
{
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"state_before": "b : Ordinal\nb1 : 1 < b\n⊢ log b 0 = 0",
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},
{
"state_after": "case h\nb : Ordinal\nb1 : 1 < b\n⊢ succ 0 ∈ {o | 0 < b ^ o}",
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291,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
284,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/Types.lean | CategoryTheory.Limits.Types.equalizerIso_inv_comp_ι | [] | [
446,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
445,
1
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Mathlib/Data/List/Permutation.lean | List.permutationsAux_cons | [
{
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225,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
221,
1
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Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.isBigOWith_of_eq_mul | [
{
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1936,
9
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1931,
1
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Mathlib/MeasureTheory/Constructions/BorelSpace/Basic.lean | Dense.borel_eq_generateFrom_Ioc_mem | [
{
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649,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
644,
1
] |
Mathlib/Analysis/Normed/Group/Basic.lean | Filter.Tendsto.op_one_isBoundedUnder_le' | [
{
"state_after": "case intro\n𝓕 : Type ?u.465533\n𝕜 : Type ?u.465536\nα : Type u_1\nι : Type ?u.465542\nκ : Type ?u.465545\nE : Type u_2\nF : Type u_3\nG : Type u_4\ninst✝² : SeminormedGroup E\ninst✝¹ : SeminormedGroup F\ninst✝ : SeminormedGroup G\ns : Set E\na a₁ a₂ b b₁ b₂ : E\nr r₁ r₂ : ℝ\nf : α → E\ng : α... | [
1163,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1147,
1
] |
Mathlib/Algebra/CubicDiscriminant.lean | Cubic.degree_of_a_eq_zero | [
{
"state_after": "no goals",
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"tactic": "simpa only [of_a_eq_zero ha] using degree_quadratic_le"
}
] | [
314,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
313,
1
] |
Mathlib/Order/Bounds/Basic.lean | bddAbove_iff_subset_Iic | [] | [
790,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
789,
1
] |
Mathlib/SetTheory/ZFC/Basic.lean | ZFSet.map_fval | [
{
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"state_before": "f : ZFSet → ZFSet\nH : PSet.Definable 1 f\nx y : ZFSet\nh : y ∈ x\nz : ZFSet\n⊢ Class.ToSet (fun x_1 => ↑(map f x) (pair x_1 z)) ↑y ↔ ... | [
1797,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1788,
1
] |
Mathlib/Data/Polynomial/Degree/Lemmas.lean | Polynomial.natDegree_sub_le_iff_right | [
{
"state_after": "no goals",
"state_before": "R : Type u\nS : Type v\nι : Type w\na b : R\nm n : ℕ\ninst✝ : Ring R\np q : R[X]\npn : natDegree p ≤ n\n⊢ natDegree (p - q) ≤ n ↔ natDegree q ≤ n",
"tactic": "rwa [natDegree_sub, natDegree_sub_le_iff_left]"
}
] | [
307,
97
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
306,
1
] |
Mathlib/MeasureTheory/Integral/Bochner.lean | MeasureTheory.L1.SimpleFunc.integral_congr | [] | [
538,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
536,
8
] |
Mathlib/Tactic/NormNum/GCD.lean | Tactic.NormNum.int_gcd_helper | [
{
"state_after": "x y : ℤ\n⊢ Int.gcd x y = Nat.gcd (Int.natAbs x) (Int.natAbs y)",
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"tactic": "subst_vars"
},
{
"state_after": "no goals",
"state_before": "x y : ℤ... | [
66,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
64,
1
] |
Mathlib/MeasureTheory/Decomposition/Lebesgue.lean | MeasureTheory.SignedMeasure.integrable_rnDeriv | [
{
"state_after": "case refine'_2.left\nα : Type u_1\nβ : Type ?u.376607\nm : MeasurableSpace α\nμ✝ ν : Measure α\ns✝ t s : SignedMeasure α\nμ : Measure α\n⊢ AEStronglyMeasurable (fun x => ENNReal.toReal (Measure.rnDeriv (toJordanDecomposition s).negPart μ x)) μ\n\ncase refine'_2.right\nα : Type u_1\nβ : Type ?u... | [
923,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
919,
1
] |
Mathlib/RingTheory/PowerBasis.lean | PowerBasis.natDegree_minpolyGen | [] | [
200,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
198,
1
] |
Mathlib/GroupTheory/MonoidLocalization.lean | Submonoid.LocalizationMap.symm_comp_ofMulEquivOfLocalizations_apply | [] | [
1420,
99
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1419,
1
] |
Mathlib/RingTheory/FiniteType.lean | AddMonoidAlgebra.of'_mem_span | [
{
"state_after": "R : Type u_1\nM : Type u_2\ninst✝² : CommRing R\ninst✝¹ : AddCommMonoid M\ninst✝ : Nontrivial R\nm : M\nS : Set M\nh : of' R M m ∈ span R (of' R M '' S)\n⊢ m ∈ S",
"state_before": "R : Type u_1\nM : Type u_2\ninst✝² : CommRing R\ninst✝¹ : AddCommMonoid M\ninst✝ : Nontrivial R\nm : M\nS : S... | [
398,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
393,
1
] |
Mathlib/Algebra/DirectSum/Basic.lean | DirectSum.sum_support_of | [] | [
151,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
149,
1
] |
Mathlib/MeasureTheory/Function/AEEqFun.lean | MeasureTheory.AEEqFun.inv_toGerm | [] | [
739,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
738,
1
] |
Mathlib/Geometry/Manifold/ChartedSpace.lean | StructureGroupoid.mem_maximalAtlas_of_mem_groupoid | [
{
"state_after": "H : Type u\nH' : Type ?u.74549\nM : Type ?u.74552\nM' : Type ?u.74555\nM'' : Type ?u.74558\ninst✝² : TopologicalSpace H\ninst✝¹ : TopologicalSpace M\ninst✝ : ChartedSpace H M\nG : StructureGroupoid H\nf : LocalHomeomorph H H\nhf : f ∈ G\n⊢ LocalHomeomorph.symm f ≫ₕ LocalHomeomorph.refl H ∈ G ∧... | [
968,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
965,
1
] |
Mathlib/LinearAlgebra/Matrix/Determinant.lean | Matrix.det_eq_elem_of_card_eq_one | [] | [
134,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
131,
1
] |
Mathlib/Data/Set/Intervals/Basic.lean | Set.Icc_eq_empty_of_lt | [] | [
383,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
382,
1
] |
Mathlib/Data/Polynomial/Degree/Lemmas.lean | Polynomial.natDegree_mul_C_eq_of_mul_eq_one | [
{
"state_after": "no goals",
"state_before": "R : Type u\nS : Type v\nι : Type w\na b : R\nm n : ℕ\ninst✝ : Semiring R\np q r : R[X]\nai : R\nau : a * ai = 1\n⊢ natDegree p = natDegree (p * 1)",
"tactic": "nth_rw 1 [← mul_one p]"
},
{
"state_after": "no goals",
"state_before": "R : Type u\nS... | [
130,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
124,
1
] |
Mathlib/Analysis/Normed/Group/Hom.lean | NormedAddGroupHom.opNorm_zero_iff | [
{
"state_after": "no goals",
"state_before": "V : Type ?u.314449\nV₁✝ : Type ?u.314452\nV₂✝ : Type ?u.314455\nV₃ : Type ?u.314458\ninst✝⁵ : SeminormedAddCommGroup V\ninst✝⁴ : SeminormedAddCommGroup V₁✝\ninst✝³ : SeminormedAddCommGroup V₂✝\ninst✝² : SeminormedAddCommGroup V₃\nf✝ g : NormedAddGroupHom V₁✝ V₂✝... | [
398,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
388,
1
] |
Mathlib/MeasureTheory/Constructions/Prod/Basic.lean | MeasureTheory.Measure.prod_eq_generateFrom | [
{
"state_after": "α : Type u_1\nα' : Type ?u.4454031\nβ : Type u_2\nβ' : Type ?u.4454037\nγ : Type ?u.4454040\nE : Type ?u.4454043\ninst✝⁷ : MeasurableSpace α\ninst✝⁶ : MeasurableSpace α'\ninst✝⁵ : MeasurableSpace β\ninst✝⁴ : MeasurableSpace β'\ninst✝³ : MeasurableSpace γ\nμ✝ μ' : Measure α\nν✝ ν' : Measure β\n... | [
500,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
490,
1
] |
Mathlib/Algebra/Module/Submodule/Bilinear.lean | Submodule.map₂_le_map₂_left | [] | [
108,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
106,
1
] |
Mathlib/Algebra/Associated.lean | pow_injective_of_not_unit | [
{
"state_after": "case refine'_1\nα : Type u_1\nβ : Type ?u.356184\nγ : Type ?u.356187\nδ : Type ?u.356190\ninst✝ : CancelCommMonoidWithZero α\nq : α\nhq : ¬IsUnit q\nhq' : q ≠ 0\nn m : ℕ\nh : n < m\n⊢ ¬IsUnit (q ^ (m - n))\n\ncase refine'_2\nα : Type u_1\nβ : Type ?u.356184\nγ : Type ?u.356187\nδ : Type ?u.356... | [
1212,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1208,
1
] |
Mathlib/MeasureTheory/Integral/SetToL1.lean | MeasureTheory.DominatedFinMeasAdditive.of_smul_measure | [
{
"state_after": "α : Type u_1\nE : Type ?u.115680\nF : Type ?u.115683\nF' : Type ?u.115686\nG : Type ?u.115689\n𝕜 : Type ?u.115692\np : ℝ≥0∞\ninst✝⁷ : NormedAddCommGroup E\ninst✝⁶ : NormedSpace ℝ E\ninst✝⁵ : NormedAddCommGroup F\ninst✝⁴ : NormedSpace ℝ F\ninst✝³ : NormedAddCommGroup F'\ninst✝² : NormedSpace ℝ... | [
268,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
256,
1
] |
Mathlib/Algebra/Associated.lean | Associated.trans | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.146822\nγ : Type ?u.146825\nδ : Type ?u.146828\ninst✝ : Monoid α\nx : α\nu v : αˣ\n⊢ x * ↑(u * v) = x * ↑u * ↑v",
"tactic": "rw [Units.val_mul, mul_assoc]"
}
] | [
407,
77
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
406,
11
] |
Mathlib/Data/Real/EReal.lean | EReal.bot_lt_coe | [] | [
287,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
286,
1
] |
Mathlib/Order/Filter/Basic.lean | Filter.diff_mem_inf_principal_compl | [] | [
1024,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1022,
1
] |
Mathlib/Algebra/MonoidAlgebra/Basic.lean | AddMonoidAlgebra.mul_single_apply_aux | [] | [
1627,
75
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1625,
1
] |
Mathlib/CategoryTheory/Iso.lean | CategoryTheory.eq_of_inv_eq_inv | [
{
"state_after": "C : Type u\ninst✝² : Category C\nX Y Z : C\nf g : X ⟶ Y\ninst✝¹ : IsIso f\ninst✝ : IsIso g\np : inv f = inv g\n⊢ inv f ≫ f = inv f ≫ g",
"state_before": "C : Type u\ninst✝² : Category C\nX Y Z : C\nf g : X ⟶ Y\ninst✝¹ : IsIso f\ninst✝ : IsIso g\np : inv f = inv g\n⊢ f = g",
"tactic": "... | [
474,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
472,
1
] |
Mathlib/Data/Real/CauSeq.lean | IsCauSeq.add | [] | [
124,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
119,
1
] |
Mathlib/Algebra/Field/Basic.lean | one_sub_div | [] | [
161,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
160,
1
] |
Mathlib/SetTheory/Game/PGame.lean | PGame.moveLeft_mk | [] | [
147,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
146,
1
] |
Mathlib/Topology/UniformSpace/UniformConvergence.lean | TendstoUniformlyOn.prod | [] | [
313,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
309,
1
] |
Mathlib/Data/Set/Function.lean | Set.BijOn.mapsTo | [] | [
908,
9
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
907,
1
] |
Mathlib/Data/Finset/Basic.lean | Finset.sdiff_sdiff_eq_self | [] | [
2330,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2329,
1
] |
Mathlib/Topology/UniformSpace/Cauchy.lean | CauchySeq.prod | [] | [
245,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
242,
1
] |
Mathlib/Data/Fin/Basic.lean | Fin.cast_natAdd | [] | [
1459,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1458,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/Equalizers.lean | CategoryTheory.Limits.equalizer.existsUnique | [] | [
822,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
820,
1
] |
Mathlib/Topology/UniformSpace/Cauchy.lean | Filter.Tendsto.cauchy_map | [] | [
95,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
93,
1
] |
Mathlib/Algebra/Module/LinearMap.lean | LinearMap.ext_iff | [] | [
316,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
315,
1
] |
Mathlib/GroupTheory/Submonoid/Operations.lean | Submonoid.comap_map_comap | [] | [
324,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
323,
1
] |
Std/Data/Int/Lemmas.lean | Int.sub_right_le_of_le_add | [
{
"state_after": "a b c : Int\nh✝ : a ≤ b + c\nh : a + -c ≤ b + c + -c\n⊢ a - c ≤ b",
"state_before": "a b c : Int\nh : a ≤ b + c\n⊢ a - c ≤ b",
"tactic": "have h := Int.add_le_add_right h (-c)"
},
{
"state_after": "no goals",
"state_before": "a b c : Int\nh✝ : a ≤ b + c\nh : a + -c ≤ b + c ... | [
996,
38
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
994,
11
] |
Mathlib/NumberTheory/LegendreSymbol/ZModChar.lean | ZMod.isQuadratic_χ₈ | [
{
"state_after": "a : ZMod 8\n⊢ ↑χ₈ a = 0 ∨ ↑χ₈ a = 1 ∨ ↑χ₈ a = -1",
"state_before": "⊢ MulChar.IsQuadratic χ₈",
"tactic": "intro a"
},
{
"state_after": "case head\n\n⊢ ↑χ₈ { val := 0, isLt := (_ : 0 < 7 + 1) } = 0 ∨\n ↑χ₈ { val := 0, isLt := (_ : 0 < 7 + 1) } = 1 ∨ ↑χ₈ { val := 0, isLt := (_... | [
150,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
146,
1
] |
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