file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
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values | start list |
|---|---|---|---|---|---|---|
Mathlib/Order/SuccPred/Basic.lean | Order.le_succ | [] | [
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20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
216,
1
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Mathlib/Analysis/Seminorm.lean | Seminorm.coe_bot | [] | [
379,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
378,
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Mathlib/Topology/Semicontinuous.lean | UpperSemicontinuous.upperSemicontinuousAt | [] | [
700,
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Mathlib/Topology/Algebra/InfiniteSum/Order.lean | tsum_le_tsum | [] | [
109,
34
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Mathlib/Data/Set/NAry.lean | Set.image2_union_right | [
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Mathlib/Analysis/NormedSpace/Pointwise.lean | ball_add_closedBall | [
{
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360,
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Mathlib/Analysis/SpecialFunctions/Pow/Complex.lean | Complex.zero_cpow | [
{
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Mathlib/Algebra/Category/ModuleCat/Monoidal/Basic.lean | ModuleCat.MonoidalCategory.associator_hom_apply | [] | [
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Mathlib/Algebra/GroupPower/Lemmas.lean | Int.cast_mul_eq_zsmul_cast | [
{
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587,
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Mathlib/Topology/ContinuousFunction/Basic.lean | ContinuousMap.id_comp | [] | [
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Mathlib/MeasureTheory/Constructions/Prod/Integral.lean | MeasureTheory.integrable_swap_iff | [] | [
234,
41
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232,
1
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Mathlib/NumberTheory/Padics/PadicNumbers.lean | Padic.norm_lt_pow_iff_norm_le_pow_sub_one | [
{
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] | [
1179,
59
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1177,
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Mathlib/RingTheory/Ideal/QuotientOperations.lean | DoubleQuot.ker_quotQuotMk | [
{
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Mathlib/LinearAlgebra/Basic.lean | LinearMap.submodule_pow_eq_zero_of_pow_eq_zero | [
{
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Mathlib/Algebra/BigOperators/Order.lean | Finset.pow_card_le_prod | [] | [
226,
70
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Mathlib/Order/BoundedOrder.lean | not_lt_top_iff | [] | [
180,
29
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Mathlib/Analysis/BoxIntegral/Box/Basic.lean | BoxIntegral.Box.face_mono | [] | [
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89
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
407,
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Mathlib/Topology/FiberBundle/Basic.lean | FiberBundleCore.localTrivAt_def | [] | [
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Mathlib/Order/Bounds/Basic.lean | isGLB_Ici | [] | [
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Mathlib/MeasureTheory/Function/AEEqFun.lean | ContinuousMap.coeFn_toAEEqFun | [] | [
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Mathlib/ModelTheory/Basic.lean | FirstOrder.Language.toEquiv_equiv_empty | [] | [
1006,
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1005,
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Mathlib/Data/Polynomial/Degree/Definitions.lean | Polynomial.le_degree_of_ne_zero | [] | [
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40
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Mathlib/Data/Prod/Basic.lean | Prod.exists' | [] | [
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Mathlib/Algebra/Group/Units.lean | Units.inv_mul_eq_one | [] | [
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Mathlib/Analysis/Calculus/FDeriv/Mul.lean | fderivWithin_mul | [] | [
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Mathlib/Computability/Partrec.lean | Computable.option_some_iff | [] | [
634,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
633,
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Mathlib/FieldTheory/PerfectClosure.lean | PerfectClosure.mk_add_mk | [] | [
289,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/Setoid/Basic.lean | Setoid.sup_def | [
{
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Mathlib/Algebra/Algebra/Basic.lean | algebraMap.coe_ratCast | [] | [
253,
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Mathlib/Topology/Order/Basic.lean | tendsto_nhds_bot_mono' | [] | [
1180,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Geometry/Euclidean/Sphere/Basic.lean | EuclideanGeometry.Sphere.cospherical | [] | [
172,
54
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171,
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Std/Data/Int/Lemmas.lean | Int.eq_neg_comm | [] | [
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Mathlib/MeasureTheory/Function/LpSeminorm.lean | MeasureTheory.snormEssSup_smul_measure | [
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Mathlib/Analysis/NormedSpace/OperatorNorm.lean | ContinuousLinearMap.op_nnnorm_comp_le | [] | [
462,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.lift_mul | [] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.mem_cofinite | [] | [
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Mathlib/MeasureTheory/Measure/ProbabilityMeasure.lean | MeasureTheory.ProbabilityMeasure.toWeakDualBCNN_continuous | [] | [
249,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/Calculus/FDeriv/Prod.lean | differentiableOn_snd | [] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Topology/Order/Basic.lean | nhds_order_unbounded | [
{
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.infinite_iff | [
{
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}
] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1605,
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Mathlib/Data/Fin/Basic.lean | Fin.predAbove_right_monotone | [
{
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"state_before": "n m : ℕ\np : Fin n\na b : Fin (n + 1)\nH : a ≤ b\n⊢ predAbove ... | [
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Mathlib/NumberTheory/FermatPsp.lean | FermatPsp.coprime_of_probablePrime | [
{
"state_after": "case pos\nn b : ℕ\nh : ProbablePrime n b\nh₁ : 1 ≤ n\nh₂ : 1 ≤ b\nh₃ : 2 ≤ n\n⊢ Nat.coprime n b\n\ncase neg\nn b : ℕ\nh : ProbablePrime n b\nh₁ : 1 ≤ n\nh₂ : 1 ≤ b\nh₃ : ¬2 ≤ n\n⊢ Nat.coprime n b",
"state_before": "n b : ℕ\nh : ProbablePrime n b\nh₁ : 1 ≤ n\nh₂ : 1 ≤ b\n⊢ Nat.coprime n b",... | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/CategoryTheory/Generator.lean | CategoryTheory.IsDetector.def | [] | [
495,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
493,
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Mathlib/RingTheory/Ideal/Operations.lean | Ideal.multiset_prod_le_inf | [
{
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665,
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658,
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Mathlib/Algebra/Order/Monoid/Lemmas.lean | Monotone.const_mul' | [] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1288,
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Mathlib/Data/Set/Basic.lean | Disjoint.inter_eq | [] | [
1526,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1525,
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Mathlib/LinearAlgebra/Basic.lean | LinearMap.restrict_apply | [] | [
238,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
236,
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Mathlib/ModelTheory/Basic.lean | FirstOrder.Language.Hom.ext_iff | [] | [
530,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
529,
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] |
Mathlib/Logic/Equiv/Basic.lean | Equiv.sumCongr_trans | [
{
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"state_before": "α₁ : Type u_1\nβ₁ : Type ... | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/List/Cycle.lean | Cycle.reverse_coe | [] | [
553,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/List/Count.lean | List.count_replicate | [
{
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"state_before": "α : Type u_1\nl : List α\ninst✝ :... | [
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97
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/Seq/Seq.lean | Stream'.Seq.get?_zip | [] | [
604,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/MeasureTheory/Integral/Bochner.lean | MeasureTheory.L1.integral_eq | [
{
"state_after": "no goals",
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/List/Basic.lean | List.foldl_fixed | [] | [
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28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Algebra/Order/Monoid/Canonical/Defs.lean | min_one | [] | [
384,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
383,
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Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean | MeasureTheory.StronglyMeasurable.nnnorm | [] | [
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47
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Mathlib/Order/Filter/Extr.lean | Filter.EventuallyEq.isMaxFilter_iff | [] | [
652,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
650,
1
] |
Mathlib/Data/PFun.lean | PFun.dom_comp | [
{
"state_after": "case h\nα : Type u_3\nβ : Type u_1\nγ : Type u_2\nδ : Type ?u.54232\nε : Type ?u.54235\nι : Type ?u.54238\nf✝ : α →. β\nf : β →. γ\ng : α →. β\nx✝ : α\n⊢ x✝ ∈ Dom (comp f g) ↔ x✝ ∈ preimage g (Dom f)",
"state_before": "α : Type u_3\nβ : Type u_1\nγ : Type u_2\nδ : Type ?u.54232\nε : Type ?... | [
601,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
597,
1
] |
Mathlib/Algebra/Category/ModuleCat/Projective.lean | IsProjective.iff_projective | [
{
"state_after": "case refine'_1\nR : Type u\ninst✝² : Ring R\nP : Type (max u v)\ninst✝¹ : AddCommGroup P\ninst✝ : Module R P\nh : Module.Projective R P\n⊢ Projective (of R P)\n\ncase refine'_2\nR : Type u\ninst✝² : Ring R\nP : Type (max u v)\ninst✝¹ : AddCommGroup P\ninst✝ : Module R P\nh : Projective (of R P... | [
44,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
34,
1
] |
Mathlib/Topology/Sheaves/Stalks.lean | TopCat.Presheaf.stalkPushforward.comp | [
{
"state_after": "C : Type u\ninst✝¹ : Category C\ninst✝ : HasColimits C\nX Y Z : TopCat\nℱ : Presheaf C X\nf : X ⟶ Y\ng : Y ⟶ Z\nx : ↑X\n⊢ stalkPushforward C (f ≫ g) ℱ x = stalkPushforward C g (f _* ℱ) ((forget TopCat).map f x) ≫ stalkPushforward C f ℱ x",
"state_before": "C : Type u\ninst✝¹ : Category C\n... | [
200,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
193,
1
] |
Mathlib/Data/Nat/Prime.lean | Nat.dvd_prime_pow | [
{
"state_after": "no goals",
"state_before": "p : ℕ\npp : Prime p\nm i : ℕ\n⊢ i ∣ p ^ m ↔ ∃ k, k ≤ m ∧ i = p ^ k",
"tactic": "simp_rw [_root_.dvd_prime_pow (prime_iff.mp pp) m, associated_eq_eq]"
}
] | [
697,
73
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
696,
1
] |
Mathlib/Data/Nat/Dist.lean | Nat.dist_eq_zero | [
{
"state_after": "no goals",
"state_before": "n m : ℕ\nh : n = m\n⊢ dist n m = 0",
"tactic": "rw [h, dist_self]"
}
] | [
46,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
46,
1
] |
Mathlib/Geometry/Euclidean/Angle/Unoriented/RightAngle.lean | InnerProductGeometry.sin_angle_add_of_inner_eq_zero | [
{
"state_after": "V : Type u_1\ninst✝¹ : NormedAddCommGroup V\ninst✝ : InnerProductSpace ℝ V\nx y : V\nh : inner x y = 0\nh0 : x ≠ 0 ∨ y ≠ 0\n⊢ ‖y‖ ≤ ‖x + y‖",
"state_before": "V : Type u_1\ninst✝¹ : NormedAddCommGroup V\ninst✝ : InnerProductSpace ℝ V\nx y : V\nh : inner x y = 0\nh0 : x ≠ 0 ∨ y ≠ 0\n⊢ Real.... | [
157,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
150,
1
] |
Mathlib/Data/Set/Ncard.lean | Set.eq_insert_of_ncard_eq_succ | [
{
"state_after": "α : Type u_1\nβ : Type ?u.160028\ns t : Set α\na b x y : α\nf : α → β\nn : ℕ\nh : ncard s = n + 1\nhsf : Set.Finite s\n⊢ ∃ a t, ¬a ∈ t ∧ insert a t = s ∧ ncard t = n",
"state_before": "α : Type u_1\nβ : Type ?u.160028\ns t : Set α\na b x y : α\nf : α → β\nn : ℕ\nh : ncard s = n + 1\n⊢ ∃ a ... | [
735,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
724,
1
] |
Mathlib/Data/Multiset/Lattice.lean | Multiset.inf_add | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝¹ : SemilatticeInf α\ninst✝ : OrderTop α\ns₁ s₂ : Multiset α\n⊢ inf (s₁ + s₂) = fold (fun x x_1 => x ⊓ x_1) (⊤ ⊓ ⊤) (s₁ + s₂)",
"tactic": "simp [inf]"
}
] | [
142,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
141,
1
] |
Mathlib/CategoryTheory/Abelian/Pseudoelements.lean | CategoryTheory.Abelian.Pseudoelement.pseudo_pullback | [
{
"state_after": "case intro.intro.intro.intro.intro\nC : Type u\ninst✝² : Category C\ninst✝¹ : Abelian C\ninst✝ : HasPullbacks C\nP Q R : C\nf : P ⟶ R\ng : Q ⟶ R\np : Pseudoelement P\nq : Pseudoelement Q\nx : Over P\ny : Over Q\nh : pseudoApply f (Quotient.mk (setoid P) x) = pseudoApply g (Quotient.mk (setoid ... | [
475,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
466,
1
] |
Mathlib/Data/List/BigOperators/Basic.lean | List.alternatingProd_singleton | [] | [
630,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
629,
1
] |
Mathlib/MeasureTheory/Constructions/BorelSpace/Basic.lean | ENNReal.measurable_of_measurable_nnreal_nnreal | [] | [
1851,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1846,
1
] |
Mathlib/CategoryTheory/Sites/SheafOfTypes.lean | CategoryTheory.Presieve.isSheaf_iso | [] | [
754,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
753,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/BinaryProducts.lean | CategoryTheory.Limits.BinaryCofan.mk_inl | [] | [
331,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
330,
1
] |
Mathlib/Order/Bounds/Basic.lean | MonotoneOn.map_bddAbove | [] | [
1186,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1185,
1
] |
Mathlib/Analysis/Calculus/FDeriv/Add.lean | fderiv_const_sub | [
{
"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.579415\ninst✝³ : NormedAddCommGroup G\ninst✝² : Normed... | [
663,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
662,
1
] |
Mathlib/Analysis/SpecialFunctions/Complex/Log.lean | Complex.ofReal_log | [
{
"state_after": "no goals",
"state_before": "x : ℝ\nhx : 0 ≤ x\n⊢ (↑(Real.log x)).re = (log ↑x).re",
"tactic": "rw [log_re, ofReal_re, abs_of_nonneg hx]"
},
{
"state_after": "no goals",
"state_before": "x : ℝ\nhx : 0 ≤ x\n⊢ (↑(Real.log x)).im = (log ↑x).im",
"tactic": "rw [ofReal_im, lo... | [
75,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
73,
1
] |
Mathlib/LinearAlgebra/Prod.lean | LinearMap.prodMap_apply | [] | [
319,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
318,
1
] |
Mathlib/RingTheory/WittVector/Basic.lean | WittVector.ghostComponent_apply | [] | [
314,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
313,
1
] |
Mathlib/RingTheory/Int/Basic.lean | Int.span_natAbs | [
{
"state_after": "a : ℤ\n⊢ Associated (↑(natAbs a)) a",
"state_before": "a : ℤ\n⊢ Ideal.span {↑(natAbs a)} = Ideal.span {a}",
"tactic": "rw [Ideal.span_singleton_eq_span_singleton]"
},
{
"state_after": "no goals",
"state_before": "a : ℤ\n⊢ Associated (↑(natAbs a)) a",
"tactic": "exact (a... | [
394,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
392,
1
] |
Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean | Measurable.aemeasurable | [] | [
680,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
679,
1
] |
Mathlib/Algebra/Group/Basic.lean | inv_div_left | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.24338\nG : Type ?u.24341\ninst✝ : DivisionMonoid α\na b c : α\n⊢ a⁻¹ / b = (b * a)⁻¹",
"tactic": "simp"
}
] | [
409,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
409,
1
] |
Mathlib/Data/Set/Lattice.lean | Set.iInter_ge_eq_iInter_nat_add | [] | [
2202,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2201,
1
] |
Mathlib/Topology/Algebra/ContinuousMonoidHom.lean | ContinuousMonoidHom.closedEmbedding_toContinuousMap | [
{
"state_after": "F : Type ?u.142376\nA : Type u_2\nB : Type u_1\nC : Type ?u.142385\nD : Type ?u.142388\nE : Type ?u.142391\ninst✝¹² : Monoid A\ninst✝¹¹ : Monoid B\ninst✝¹⁰ : Monoid C\ninst✝⁹ : Monoid D\ninst✝⁸ : CommGroup E\ninst✝⁷ : TopologicalSpace A\ninst✝⁶ : TopologicalSpace B\ninst✝⁵ : TopologicalSpace C... | [
332,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
293,
1
] |
Mathlib/Data/List/Rotate.lean | List.rotate_reverse | [
{
"state_after": "α : Type u\nl : List α\nn : ℕ\n⊢ rotate (reverse (reverse (reverse l))) n =\n reverse (rotate (reverse (reverse l)) (length (reverse (reverse l)) - n % length (reverse (reverse l))))",
"state_before": "α : Type u\nl : List α\nn : ℕ\n⊢ rotate (reverse l) n = reverse (rotate l (length l -... | [
384,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
371,
1
] |
Mathlib/Data/Set/Basic.lean | Set.mem_or_mem_of_mem_union | [] | [
746,
4
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
745,
1
] |
Mathlib/Order/JordanHolder.lean | JordanHolderLattice.isMaximal_of_eq_inf | [
{
"state_after": "X : Type u\ninst✝¹ : Lattice X\ninst✝ : JordanHolderLattice X\nx b a y : X\nha : x ⊓ y = a\nhxy : x ≠ y\nhxb : IsMaximal x b\nhyb : IsMaximal y b\nhb : x ⊔ y = b\n⊢ IsMaximal a y",
"state_before": "X : Type u\ninst✝¹ : Lattice X\ninst✝ : JordanHolderLattice X\nx b a y : X\nha : x ⊓ y = a\n... | [
111,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
107,
1
] |
Mathlib/Data/Set/Basic.lean | Set.monotoneOn_singleton | [] | [
2694,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2693,
1
] |
Mathlib/Data/MvPolynomial/Basic.lean | MvPolynomial.X_injective | [] | [
290,
89
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
289,
1
] |
Mathlib/Analysis/InnerProductSpace/Orthogonal.lean | Submodule.IsOrtho.mono | [] | [
300,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
298,
1
] |
Mathlib/MeasureTheory/Function/LocallyIntegrable.lean | MeasureTheory.IntegrableOn.smul_continuousOn | [
{
"state_after": "X : Type u_1\nY : Type ?u.2491139\nE : Type u_2\nR : Type ?u.2491145\ninst✝⁹ : MeasurableSpace X\ninst✝⁸ : TopologicalSpace X\ninst✝⁷ : MeasurableSpace Y\ninst✝⁶ : TopologicalSpace Y\ninst✝⁵ : NormedAddCommGroup E\nf✝ : X → E\nμ : Measure X\ns : Set X\ninst✝⁴ : OpensMeasurableSpace X\nA K : Se... | [
445,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
438,
1
] |
Mathlib/Order/Heyting/Basic.lean | disjoint_compl_left | [] | [
844,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
843,
1
] |
Mathlib/Order/Hom/CompleteLattice.lean | FrameHom.id_apply | [] | [
605,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
604,
1
] |
Mathlib/Geometry/Euclidean/Sphere/Basic.lean | EuclideanGeometry.Concyclic.subset | [] | [
217,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
216,
1
] |
Mathlib/Data/List/AList.lean | AList.ext_iff | [] | [
72,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
71,
1
] |
Mathlib/Data/ZMod/Basic.lean | ZMod.val_mul' | [] | [
83,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
82,
1
] |
Mathlib/LinearAlgebra/FiniteDimensional.lean | Subalgebra.rank_eq_one_iff | [] | [
1410,
90
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1408,
1
] |
Mathlib/Topology/Category/Compactum.lean | compactumToCompHaus.faithful | [
{
"state_after": "X✝ Y✝ : Compactum\na₁✝ a₂✝ : X✝ ⟶ Y✝\nh : compactumToCompHaus.map a₁✝ = compactumToCompHaus.map a₂✝\n⊢ a₁✝ = a₂✝",
"state_before": "⊢ ∀ {X Y : Compactum}, Function.Injective compactumToCompHaus.map",
"tactic": "intro _ _ _ _ h"
},
{
"state_after": "case f\nX✝ Y✝ : Compactum\na₁... | [
462,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
456,
1
] |
Mathlib/Analysis/NormedSpace/BoundedLinearMaps.lean | isBoundedBilinearMap_smul | [] | [
444,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
441,
1
] |
Mathlib/MeasureTheory/Integral/Lebesgue.lean | MeasureTheory.limsup_lintegral_le | [
{
"state_after": "case refine'_1\nα : Type u_1\nβ : Type ?u.996569\nγ : Type ?u.996572\nδ : Type ?u.996575\nm : MeasurableSpace α\nμ ν : Measure α\nf : ℕ → α → ℝ≥0∞\ng : α → ℝ≥0∞\nhf_meas : ∀ (n : ℕ), Measurable (f n)\nh_bound : ∀ (n : ℕ), f n ≤ᵐ[μ] g\nh_fin : (∫⁻ (a : α), g a ∂μ) ≠ ⊤\n⊢ ∀ (n : ℕ), Measurable f... | [
1038,
92
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1022,
1
] |
Mathlib/Topology/MetricSpace/Lipschitz.lean | lipschitzOnWith_iff_restrict | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nγ : Type w\nι : Type x\ninst✝¹ : PseudoEMetricSpace α\ninst✝ : PseudoEMetricSpace β\nK : ℝ≥0\nf : α → β\ns : Set α\n⊢ LipschitzOnWith K f s ↔ LipschitzWith K (restrict s f)",
"tactic": "simp only [LipschitzOnWith, LipschitzWith, SetCo... | [
104,
89
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
102,
1
] |
Mathlib/Order/CompactlyGenerated.lean | sSup_compact_eq_top | [
{
"state_after": "ι : Sort ?u.87370\nα : Type u_1\ninst✝² : CompleteLattice α\nf : ι → α\ninst✝¹ : CompleteLattice α\ninst✝ : IsCompactlyGenerated α\na b : α\ns : Set α\nx : α\n⊢ x ∈ {a | CompleteLattice.IsCompactElement a} ↔ x ∈ {c | CompleteLattice.IsCompactElement c ∧ c ≤ ⊤}",
"state_before": "ι : Sort ?... | [
352,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
350,
1
] |
Mathlib/Data/Fintype/Perm.lean | Fintype.card_equiv | [] | [
171,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
169,
1
] |
Mathlib/Algebra/Order/Rearrangement.lean | AntivaryOn.sum_smul_le_sum_smul_comp_perm | [] | [
195,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
193,
1
] |
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