file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
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Mathlib/Analysis/InnerProductSpace/Basic.lean | real_inner_div_norm_mul_norm_eq_one_of_ne_zero_of_pos_mul | [
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Mathlib/CategoryTheory/EqToHom.lean | CategoryTheory.eqToHom_trans | [
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Mathlib/Algebra/Order/Floor.lean | Int.fract_neg_eq_zero | [
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Mathlib/GroupTheory/Perm/Support.lean | Equiv.Perm.support_swap | [
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Mathlib/Analysis/Calculus/Deriv/Add.lean | deriv.neg' | [] | [
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Mathlib/Data/Set/Intervals/Basic.lean | IsMax.Ioi_eq | [] | [
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Mathlib/Topology/CompactOpen.lean | ContinuousMap.gen_inter | [] | [
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Mathlib/LinearAlgebra/Lagrange.lean | Polynomial.eq_zero_of_degree_lt_of_eval_finset_eq_zero | [
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Mathlib/MeasureTheory/Function/LpSpace.lean | MeasureTheory.exists_snorm_indicator_le | [
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Mathlib/Order/OmegaCompletePartialOrder.lean | OmegaCompletePartialOrder.Continuous.of_bundled' | [] | [
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Mathlib/Topology/Sequences.lean | IsClosed.isSeqClosed | [] | [
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Mathlib/Order/InitialSeg.lean | InitialSeg.antisymm_toFun | [] | [
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Mathlib/Data/List/Basic.lean | List.map_reverse | [] | [
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Mathlib/ModelTheory/Syntax.lean | FirstOrder.Language.BoundedFormula.relabel_all | [
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src/lean/Init/Control/Lawful.lean | map_congr | [
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Mathlib/Data/Finsupp/Defs.lean | Finsupp.single_left_injective | [] | [
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Mathlib/Data/Finset/Fold.lean | Finset.fold_min_le | [
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Mathlib/Algebra/Quandle.lean | ShelfHom.comp_apply | [] | [
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Mathlib/LinearAlgebra/Span.lean | Submodule.mem_span_finite_of_mem_span | [
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Mathlib/RingTheory/Subsemiring/Pointwise.lean | Subsemiring.pointwise_smul_def | [] | [
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Mathlib/Data/Sigma/Basic.lean | Sigma.ext | [
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Mathlib/Analysis/NormedSpace/OperatorNorm.lean | ContinuousLinearMap.nnnorm_def | [
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Mathlib/Data/List/Sigma.lean | List.Perm.kunion | [] | [
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Mathlib/Data/Dfinsupp/Order.lean | Dfinsupp.orderEmbeddingToFun_apply | [] | [
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Mathlib/Topology/Separation.lean | isOpen_setOf_disjoint_nhds_nhds | [
{
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Mathlib/Data/Nat/Basic.lean | Nat.eq_of_le_of_lt_succ | [] | [
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Mathlib/CategoryTheory/CofilteredSystem.lean | CategoryTheory.Functor.IsMittagLeffler.eq_image_eventualRange | [] | [
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Mathlib/GroupTheory/FreeGroup.lean | FreeGroup.Red.trans | [] | [
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Mathlib/Dynamics/Circle/RotationNumber/TranslationNumber.lean | CircleDeg1Lift.ext_iff | [] | [
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Mathlib/Combinatorics/SimpleGraph/Subgraph.lean | SimpleGraph.Subgraph.edgeSet_bot | [
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Mathlib/Algebra/MonoidAlgebra/ToDirectSum.lean | DirectSum.toAddMonoidAlgebra_zero | [] | [
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Mathlib/Topology/Order.lean | continuous_iff_coinduced_le | [] | [
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Mathlib/Topology/MetricSpace/Antilipschitz.lean | AntilipschitzWith.bounded_preimage | [
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Mathlib/Order/Filter/Germ.lean | Filter.Germ.coe_mul | [] | [
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Mathlib/MeasureTheory/Function/LpSpace.lean | MeasureTheory.Lp.snorm'_sum_norm_sub_le_tsum_of_cauchy_snorm' | [
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Mathlib/Algebra/Order/Monoid/WithTop.lean | WithBot.coe_bit0 | [] | [
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Mathlib/SetTheory/Game/PGame.lean | PGame.not_le | [] | [
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Mathlib/Algebra/Module/LinearMap.lean | LinearMap.default_def | [] | [
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Mathlib/Data/Finset/Pointwise.lean | Finset.union_smul | [] | [
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Mathlib/Order/Antisymmetrization.lean | wellFounded_antisymmetrization_iff | [] | [
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Mathlib/Order/UpperLower/Basic.lean | IsUpperSet.preimage | [] | [
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Mathlib/RingTheory/IntegralClosure.lean | isIntegral_of_smul_mem_submodule | [
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Mathlib/Analysis/SpecialFunctions/ExpDeriv.lean | fderiv_exp | [] | [
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Mathlib/Data/Real/Hyperreal.lean | Hyperreal.infiniteNeg_mul_of_infiniteNeg_not_infinitesimal_pos | [
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Mathlib/Data/Set/Intervals/Infinite.lean | Set.Ioc.infinite | [] | [
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Mathlib/Data/MvPolynomial/Basic.lean | MvPolynomial.eval₂_sum | [] | [
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Mathlib/RingTheory/Noetherian.lean | finite_of_linearIndependent | [
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Mathlib/Data/Dfinsupp/Basic.lean | Dfinsupp.single_sub | [] | [
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Mathlib/MeasureTheory/Function/LpSpace.lean | LipschitzWith.continuous_compLp | [] | [
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Mathlib/LinearAlgebra/Matrix/IsDiag.lean | Matrix.IsDiag.submatrix | [] | [
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Mathlib/Analysis/SpecialFunctions/Log/Deriv.lean | HasStrictFDerivAt.log | [] | [
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Mathlib/LinearAlgebra/BilinearForm.lean | BilinForm.isSkewAdjoint_iff_neg_self_adjoint | [
{
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"state_before": "R : Type ?u.1220676\nM : Type ?u.1220679\ninst✝²⁴ : Semiring R\ninst✝²³ : AddCommMonoid M\ninst✝²² : Module R M\nR₁ : Type u_1\nM₁ : Type u_2\ninst✝²¹ : Ring R₁\ninst✝²⁰ : AddCommGroup M₁\ninst✝¹⁹ : Module R₁ M₁\nR₂ : Type ?u.1221327\nM₂ : Type ?u.1221330\ninst✝... | [
1137,
78
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1134,
1
] |
Mathlib/Order/Disjoint.lean | IsCompl.right_le_iff | [] | [
551,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
550,
1
] |
Mathlib/RingTheory/Bezout.lean | IsBezout.iff_span_pair_isPrincipal | [
{
"state_after": "case mp\nR : Type u\ninst✝ : CommRing R\n⊢ IsBezout R → ∀ (x y : R), Submodule.IsPrincipal (Ideal.span {x, y})\n\ncase mpr\nR : Type u\ninst✝ : CommRing R\n⊢ (∀ (x y : R), Submodule.IsPrincipal (Ideal.span {x, y})) → IsBezout R",
"state_before": "R : Type u\ninst✝ : CommRing R\n⊢ IsBezout ... | [
56,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
47,
1
] |
Mathlib/CategoryTheory/Limits/HasLimits.lean | CategoryTheory.Limits.HasLimit.mk | [] | [
95,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
94,
1
] |
Mathlib/LinearAlgebra/Prod.lean | LinearMap.prodMap_add | [] | [
357,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
355,
1
] |
Mathlib/Analysis/Calculus/Deriv/Basic.lean | hasDerivAt_iff_hasFDerivAt | [] | [
223,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
221,
1
] |
Mathlib/Order/WithBot.lean | WithBot.coe_inj | [] | [
67,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
66,
1
] |
Mathlib/Data/Nat/Factorization/Basic.lean | Nat.factorization_eq_zero_of_remainder | [
{
"state_after": "case h\np r i : ℕ\nhr : ¬p ∣ r\n⊢ ¬p ∣ p * i + r",
"state_before": "p r i : ℕ\nhr : ¬p ∣ r\n⊢ ↑(factorization (p * i + r)) p = 0",
"tactic": "apply factorization_eq_zero_of_not_dvd"
},
{
"state_after": "no goals",
"state_before": "case h\np r i : ℕ\nhr : ¬p ∣ r\n⊢ ¬p ∣ p * ... | [
197,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
194,
1
] |
Mathlib/Probability/ConditionalProbability.lean | ProbabilityTheory.cond_mul_eq_inter | [] | [
151,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
149,
1
] |
Mathlib/GroupTheory/Sylow.lean | Sylow.smul_def | [] | [
241,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
240,
1
] |
Mathlib/Algebra/Tropical/Basic.lean | Tropical.add_eq_iff | [
{
"state_after": "R : Type u\ninst✝ : LinearOrder R\nx y z : Tropical R\n⊢ min (untrop x) (untrop y) = untrop z ↔ x = z ∧ x ≤ y ∨ y = z ∧ y ≤ x",
"state_before": "R : Type u\ninst✝ : LinearOrder R\nx y z : Tropical R\n⊢ x + y = z ↔ x = z ∧ x ≤ y ∨ y = z ∧ y ≤ x",
"tactic": "rw [trop_add_def, trop_eq_iff... | [
359,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
357,
1
] |
Mathlib/LinearAlgebra/PiTensorProduct.lean | PiTensorProduct.lift_symm | [] | [
434,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
433,
1
] |
Mathlib/Data/Set/Basic.lean | Set.inter_left_comm | [] | [
942,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
941,
1
] |
Mathlib/Analysis/Calculus/ContDiff.lean | ContinuousLinearMap.norm_iteratedFDerivWithin_le_of_bilinear | [
{
"state_after": "𝕜 : Type u_1\ninst✝¹⁰ : NontriviallyNormedField 𝕜\nD : Type uD\ninst✝⁹ : NormedAddCommGroup D\ninst✝⁸ : NormedSpace 𝕜 D\nE : Type uE\ninst✝⁷ : NormedAddCommGroup E\ninst✝⁶ : NormedSpace 𝕜 E\nF : Type uF\ninst✝⁵ : NormedAddCommGroup F\ninst✝⁴ : NormedSpace 𝕜 F\nG : Type uG\ninst✝³ : Normed... | [
2434,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2334,
1
] |
Mathlib/Data/List/MinMax.lean | List.foldr_max_of_ne_nil | [
{
"state_after": "case nil\nα : Type u_1\nβ : Type ?u.107747\ninst✝¹ : LinearOrder α\ninst✝ : OrderBot α\nl : List α\nh✝ : l ≠ []\nh : [] ≠ []\n⊢ ↑(foldr max ⊥ []) = maximum []\n\ncase cons\nα : Type u_1\nβ : Type ?u.107747\ninst✝¹ : LinearOrder α\ninst✝ : OrderBot α\nl : List α\nh✝ : l ≠ []\nhd : α\ntl : List ... | [
413,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
407,
1
] |
Mathlib/Analysis/Normed/Group/Basic.lean | norm_lt_of_mem_ball' | [
{
"state_after": "no goals",
"state_before": "𝓕 : Type ?u.97056\n𝕜 : Type ?u.97059\nα : Type ?u.97062\nι : Type ?u.97065\nκ : Type ?u.97068\nE : Type u_1\nF : Type ?u.97074\nG : Type ?u.97077\ninst✝² : SeminormedGroup E\ninst✝¹ : SeminormedGroup F\ninst✝ : SeminormedGroup G\ns : Set E\na a₁ a₂ b b₁ b₂ : E... | [
664,
95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
663,
1
] |
Mathlib/SetTheory/Cardinal/Continuum.lean | Cardinal.nat_mul_continuum | [] | [
172,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
171,
1
] |
Mathlib/Data/Finset/Pointwise.lean | Set.toFinset_smul_set | [] | [
2246,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2244,
1
] |
Mathlib/Topology/Sets/Closeds.lean | TopologicalSpace.Closeds.coe_mk | [] | [
66,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
65,
1
] |
Mathlib/Data/Int/GCD.lean | Int.gcd_one_right | [] | [
290,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
289,
1
] |
src/lean/Init/Prelude.lean | Nat.le_antisymm | [] | [
1668,
72
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
1665,
11
] |
Mathlib/Order/Filter/Basic.lean | Filter.frequently_iff_forall_eventually_exists_and | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nγ : Type w\nδ : Type ?u.160738\nι : Sort x\np : α → Prop\nf : Filter α\nH : ∀ {q : α → Prop}, (∀ᶠ (x : α) in f, q x) → ∃ x, p x ∧ q x\nhp : ∀ᶠ (x : α) in f, ¬(fun x => p x) x\n⊢ False",
"tactic": "simpa only [and_not_self_iff, exists_... | [
1306,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1303,
1
] |
Mathlib/LinearAlgebra/ProjectiveSpace/Independence.lean | Projectivization.independent_iff | [
{
"state_after": "case refine'_1\nι : Type u_1\nK : Type u_2\nV : Type u_3\ninst✝² : Field K\ninst✝¹ : AddCommGroup V\ninst✝ : Module K V\nf : ι → ℙ K V\n⊢ Independent f → LinearIndependent K (Projectivization.rep ∘ f)\n\ncase refine'_2\nι : Type u_1\nK : Type u_2\nV : Type u_3\ninst✝² : Field K\ninst✝¹ : AddCo... | [
60,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
50,
1
] |
Mathlib/Control/Functor.lean | Functor.map_comp_map | [] | [
51,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
49,
1
] |
Mathlib/FieldTheory/Adjoin.lean | IntermediateField.induction_on_adjoin | [] | [
965,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
961,
1
] |
Mathlib/Topology/SubsetProperties.lean | IsCompact.elim_finite_subfamily_closed | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nι✝ : Type ?u.18164\nπ : ι✝ → Type ?u.18169\ninst✝¹ : TopologicalSpace α\ninst✝ : TopologicalSpace β\ns✝ t s : Set α\nι : Type v\nhs : IsCompact s\nZ : ι → Set α\nhZc : ∀ (i : ι), IsClosed (Z i)\nhsZ : (s ∩ ⋂ (i : ι), Z i) = ∅\n⊢ s ⊆ ⋃ (i ... | [
248,
79
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
241,
1
] |
Mathlib/Analysis/MeanInequalitiesPow.lean | NNReal.rpow_add_le_add_rpow | [
{
"state_after": "case inl\nι : Type u\ns : Finset ι\na b : ℝ≥0\nhp : 0 ≤ 0\nhp1 : 0 ≤ 1\n⊢ (a + b) ^ 0 ≤ a ^ 0 + b ^ 0\n\ncase inr\nι : Type u\ns : Finset ι\np : ℝ\na b : ℝ≥0\nhp : 0 ≤ p\nhp1 : p ≤ 1\nhp_pos : 0 < p\n⊢ (a + b) ^ p ≤ a ^ p + b ^ p",
"state_before": "ι : Type u\ns : Finset ι\np : ℝ\na b : ℝ≥... | [
228,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
221,
1
] |
Mathlib/Algebra/BigOperators/Finsupp.lean | Finsupp.mul_sum | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nι : Type ?u.632330\nγ : Type ?u.632333\nA : Type ?u.632336\nB : Type ?u.632339\nC : Type ?u.632342\ninst✝⁴ : AddCommMonoid A\ninst✝³ : AddCommMonoid B\ninst✝² : AddCommMonoid C\nt : ι → A → C\nh0 : ∀ (i : ι), t i 0 = 0\nh1 : ∀ (i : ι) (x y : A), t ... | [
653,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
652,
1
] |
Mathlib/Algebra/BigOperators/Basic.lean | Finset.prod_eq_mul_prod_diff_singleton | [
{
"state_after": "case h.e'_3.h.e'_5\nι : Type ?u.778920\nβ : Type u\nα : Type v\nγ : Type w\ns✝ s₁ s₂ : Finset α\na : α\nf✝ g : α → β\ninst✝¹ : CommMonoid β\ninst✝ : DecidableEq α\ns : Finset α\ni : α\nh : i ∈ s\nf : α → β\n⊢ f i = ∏ x in s ∩ {i}, f x",
"state_before": "ι : Type ?u.778920\nβ : Type u\nα : ... | [
1555,
11
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1552,
1
] |
Mathlib/LinearAlgebra/Determinant.lean | LinearMap.det_toLin' | [
{
"state_after": "no goals",
"state_before": "R : Type u_2\ninst✝⁹ : CommRing R\nM : Type ?u.566367\ninst✝⁸ : AddCommGroup M\ninst✝⁷ : Module R M\nM' : Type ?u.566952\ninst✝⁶ : AddCommGroup M'\ninst✝⁵ : Module R M'\nι : Type u_1\ninst✝⁴ : DecidableEq ι\ninst✝³ : Fintype ι\ne : Basis ι R M\nA : Type ?u.56797... | [
232,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
231,
1
] |
Mathlib/LinearAlgebra/AffineSpace/Midpoint.lean | midpoint_zero_add | [
{
"state_after": "no goals",
"state_before": "R : Type u_2\nV : Type u_1\nV' : Type ?u.119583\nP : Type ?u.119586\nP' : Type ?u.119589\ninst✝⁷ : Ring R\ninst✝⁶ : Invertible 2\ninst✝⁵ : AddCommGroup V\ninst✝⁴ : Module R V\ninst✝³ : AddTorsor V P\ninst✝² : AddCommGroup V'\ninst✝¹ : Module R V'\ninst✝ : AddTor... | [
211,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
210,
1
] |
Std/Data/Int/Lemmas.lean | Int.neg_nonpos_of_nonneg | [
{
"state_after": "a : Int\nh : 0 ≤ a\nthis : -a ≤ -0\n⊢ -a ≤ 0",
"state_before": "a : Int\nh : 0 ≤ a\n⊢ -a ≤ 0",
"tactic": "have : -a ≤ -0 := Int.neg_le_neg h"
},
{
"state_after": "no goals",
"state_before": "a : Int\nh : 0 ≤ a\nthis : -a ≤ -0\n⊢ -a ≤ 0",
"tactic": "rwa [Int.neg_zero] at... | [
870,
29
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
868,
11
] |
Mathlib/LinearAlgebra/TensorProduct.lean | TensorProduct.add_smul | [
{
"state_after": "no goals",
"state_before": "R : Type u_1\ninst✝¹⁶ : CommSemiring R\nR' : Type ?u.231678\ninst✝¹⁵ : Monoid R'\nR'' : Type u_4\ninst✝¹⁴ : Semiring R''\nM : Type u_2\nN : Type u_3\nP : Type ?u.231696\nQ : Type ?u.231699\nS : Type ?u.231702\ninst✝¹³ : AddCommMonoid M\ninst✝¹² : AddCommMonoid N... | [
271,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
266,
11
] |
Mathlib/Data/Fintype/Basic.lean | Fintype.univ_punit | [] | [
894,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
893,
1
] |
Mathlib/Data/List/Sigma.lean | List.kunion_cons | [] | [
698,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
696,
1
] |
Mathlib/Analysis/NormedSpace/Multilinear.lean | MultilinearMap.mkContinuousMultilinear_apply | [] | [
1120,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1117,
1
] |
Mathlib/Analysis/SpecialFunctions/Log/Basic.lean | Real.abs_log_mul_self_lt | [
{
"state_after": "x✝ y x : ℝ\nh1 : 0 < x\nh2 : x ≤ 1\nthis : 0 < 1 / x\n⊢ abs (log x * x) < 1",
"state_before": "x✝ y x : ℝ\nh1 : 0 < x\nh2 : x ≤ 1\n⊢ abs (log x * x) < 1",
"tactic": "have : 0 < 1 / x := by simpa only [one_div, inv_pos] using h1"
},
{
"state_after": "x✝ y x : ℝ\nh1 : 0 < x\nh2 :... | [
290,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
278,
1
] |
Mathlib/Deprecated/Subgroup.lean | IsSubgroup.inv_mem_iff | [
{
"state_after": "no goals",
"state_before": "G : Type u_1\nH : Type ?u.12515\nA : Type ?u.12518\na a₁ a₂ b c : G\ninst✝ : Group G\ns : Set G\nhs : IsSubgroup s\nh : a⁻¹ ∈ s\n⊢ a ∈ s",
"tactic": "simpa using hs.inv_mem h"
}
] | [
145,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
144,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/Pullbacks.lean | CategoryTheory.Limits.pushoutCoconeOfLeftIso_inl | [] | [
1786,
89
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1786,
1
] |
Mathlib/Data/Finset/Lattice.lean | Finset.le_sup'_iff | [
{
"state_after": "F : Type ?u.300601\nα : Type u_1\nβ : Type ?u.300607\nγ : Type ?u.300610\nι : Type u_2\nκ : Type ?u.300616\ninst✝ : LinearOrder α\ns : Finset ι\nH : Finset.Nonempty s\nf : ι → α\na : α\n⊢ (∃ b, b ∈ s ∧ ↑a ≤ (WithBot.some ∘ f) b) ↔ ∃ b, b ∈ s ∧ a ≤ f b",
"state_before": "F : Type ?u.300601\... | [
1086,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1084,
1
] |
Mathlib/Algebra/Order/Floor.lean | Int.gc_ceil_coe | [] | [
1092,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1091,
1
] |
Mathlib/Data/Dfinsupp/Basic.lean | Dfinsupp.comp_sumAddHom | [] | [
2073,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2071,
1
] |
Mathlib/Data/Finset/Basic.lean | Finset.ssubset_cons | [] | [
885,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
884,
1
] |
Mathlib/Order/Filter/Prod.lean | Filter.map_prod | [
{
"state_after": "α : Type u_1\nβ : Type u_2\nγ : Type u_3\nδ : Type ?u.29986\nι : Sort ?u.29989\ns : Set α\nt : Set β\nf✝ : Filter α\ng✝ : Filter β\nm : α × β → γ\nf : Filter α\ng : Filter β\n⊢ ∀ (s : Set γ),\n (∃ t₁, t₁ ∈ f ∧ ∃ t₂, t₂ ∈ g ∧ t₁ ×ˢ t₂ ⊆ m ⁻¹' s) ↔\n ∃ t, t ∈ g ∧ ∃ x, x ∈ f ∧ ∀ (x_1 : α)... | [
380,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
374,
11
] |
Mathlib/CategoryTheory/Limits/Constructions/WeaklyInitial.lean | CategoryTheory.has_weakly_initial_of_weakly_initial_set_and_hasProducts | [] | [
41,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
39,
1
] |
Mathlib/MeasureTheory/Integral/IntervalIntegral.lean | IntervalIntegrable.abs | [] | [
189,
9
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
187,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/Equalizers.lean | CategoryTheory.Limits.ι_comp_coequalizerComparison | [] | [
1149,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1147,
1
] |
Mathlib/Data/PNat/Basic.lean | PNat.modDivAux_spec | [
{
"state_after": "k : ℕ+\nq : ℕ\nx✝ : ¬(0 = 0 ∧ q + 1 = 0)\n⊢ ↑k + ↑k * pred (q + 1) = 0 + ↑k * (q + 1)",
"state_before": "k : ℕ+\nq : ℕ\nx✝ : ¬(0 = 0 ∧ q + 1 = 0)\n⊢ ↑(modDivAux k 0 (q + 1)).fst + ↑k * (modDivAux k 0 (q + 1)).snd = 0 + ↑k * (q + 1)",
"tactic": "change (k : ℕ) + (k : ℕ) * (q + 1).pred =... | [
352,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
345,
1
] |
Mathlib/Data/Finset/Basic.lean | Finset.not_disjoint_iff | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.52972\nγ : Type ?u.52975\nf : α → β\ns t u : Finset α\na b x✝ : α\n⊢ ¬(x✝ ∈ s → ¬x✝ ∈ t) ↔ x✝ ∈ s ∧ x✝ ∈ t",
"tactic": "rw [not_imp, not_not]"
}
] | [
936,
96
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
935,
1
] |
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