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Mathlib/Order/GaloisConnection.lean | GaloisCoinsertion.u_iSup_l | [] | [
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Mathlib/Topology/UniformSpace/AbstractCompletion.lean | AbstractCompletion.denseInducing | [] | [
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44
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Mathlib/Data/Finsupp/Basic.lean | Finsupp.subtypeDomain_finsupp_sum | [] | [
1114,
20
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1112,
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Mathlib/Algebra/Star/Order.lean | conjugate_le_conjugate' | [
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Mathlib/Algebra/QuaternionBasis.lean | QuaternionAlgebra.Basis.lift_mul | [
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Mathlib/RingTheory/Bezout.lean | Function.Surjective.isBezout | [
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Mathlib/Topology/Sober.lean | OpenEmbedding.quasiSober | [
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Mathlib/Data/Real/ENNReal.lean | ENNReal.mul_div_le | [] | [
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Mathlib/Algebra/Order/Chebyshev.lean | sum_div_card_sq_le_sum_sq_div_card | [
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Mathlib/Computability/Halting.lean | Nat.Partrec'.nil | [] | [
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Mathlib/LinearAlgebra/Prod.lean | LinearMap.comp_coprod | [] | [
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.restrict_toMeasurable | [
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Mathlib/Data/Set/Ncard.lean | Set.Infinite.exists_subset_ncard_eq | [
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Mathlib/Data/Seq/Seq.lean | Stream'.Seq.val_cons | [] | [
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Mathlib/RingTheory/IntegralClosure.lean | RingHom.finite_iff_isIntegral_and_finiteType | [] | [
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Mathlib/MeasureTheory/Measure/Lebesgue/Basic.lean | ae_restrict_of_ae_restrict_inter_Ioo | [
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Mathlib/CategoryTheory/Limits/Constructions/FiniteProductsOfBinaryProducts.lean | CategoryTheory.hasCoproduct_fin | [
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Mathlib/Init/Data/List/Basic.lean | List.nthLe_eq | [] | [
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Mathlib/GroupTheory/FreeAbelianGroup.lean | FreeAbelianGroup.map_of | [] | [
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Mathlib/MeasureTheory/MeasurableSpace.lean | measurableSet_range_inr | [
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Mathlib/RingTheory/Ideal/Quotient.lean | Ideal.Quotient.factor_comp_mk | [
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Mathlib/Topology/Algebra/Monoid.lean | MonoidHom.isClosed_range_coe | [] | [
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Mathlib/CategoryTheory/Abelian/Exact.lean | CategoryTheory.Abelian.Exact.op_iff | [
{
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Mathlib/Analysis/Seminorm.lean | Seminorm.mem_closedBall | [] | [
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Mathlib/Analysis/Complex/Basic.lean | Complex.isometry_conj | [] | [
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Mathlib/Analysis/Analytic/Basic.lean | HasFPowerSeriesOnBall.changeOrigin | [
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Mathlib/Topology/LocalExtr.lean | Filter.EventuallyLE.isLocalMaxOn | [] | [
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Mathlib/Topology/Algebra/StarSubalgebra.lean | StarSubalgebra.topologicalClosure_mono | [] | [
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Mathlib/Data/Set/Basic.lean | Set.ssubset_iff_insert | [
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Mathlib/MeasureTheory/Group/MeasurableEquiv.lean | measurableEmbedding_mulRight₀ | [] | [
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Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean | NonUnitalSubsemiring.mem_iSup_of_directed | [
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Mathlib/Order/BooleanAlgebra.lean | le_iff_eq_sup_sdiff | [
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Mathlib/Data/Num/Lemmas.lean | ZNum.bit0_of_bit0 | [] | [
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Mathlib/Analysis/NormedSpace/Multilinear.lean | continuousMultilinearCurryLeftEquiv_apply | [] | [
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Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean | MeasureTheory.AEStronglyMeasurable.comp_quasiMeasurePreserving | [] | [
1562,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/BoxIntegral/Partition/SubboxInduction.lean | BoxIntegral.Box.subbox_induction_on | [
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Mathlib/Topology/MetricSpace/IsometricSMul.lean | EMetric.preimage_smul_ball | [
{
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Mathlib/LinearAlgebra/Orientation.lean | Basis.adjustToOrientation_apply_eq_or_eq_neg | [
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Mathlib/CategoryTheory/Monoidal/Rigid/Basic.lean | CategoryTheory.comp_rightAdjointMate | [
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Mathlib/RingTheory/Ideal/Operations.lean | Ideal.map_eq_submodule_map | [] | [
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Mathlib/Data/Real/Irrational.lean | Irrational.sub_nat | [] | [
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Mathlib/MeasureTheory/MeasurableSpace.lean | Filter.principal_isMeasurablyGenerated_iff | [
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Mathlib/Data/Polynomial/Eval.lean | Polynomial.map_map | [
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Mathlib/Data/Set/Pointwise/Interval.lean | Set.preimage_const_mul_Ici_of_neg | [
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Mathlib/Logic/Basic.lean | BEx.elim | [] | [
1027,
34
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Mathlib/Algebra/Category/GroupCat/Limits.lean | AddCommGroupCat.kernelIsoKer_inv_comp_ι | [
{
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462,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
459,
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Mathlib/LinearAlgebra/LinearIndependent.lean | linearIndependent_finset_map_embedding_subtype | [
{
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328,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
314,
1
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Mathlib/Algebra/BigOperators/Finprod.lean | finprod_mem_range | [] | [
961,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
960,
1
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Mathlib/Order/BoundedOrder.lean | not_top_lt | [] | [
120,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
119,
1
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Mathlib/Data/Stream/Init.lean | Stream'.head_cons | [] | [
49,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
48,
1
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Mathlib/Order/Bounds/Basic.lean | lowerBounds_empty | [] | [
870,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
869,
1
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Mathlib/Logic/Equiv/List.lean | Denumerable.raise_lower' | [
{
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"state_before": "α : Type ?u.58427\n... | [
371,
77
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
366,
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Mathlib/MeasureTheory/Measure/Haar/Basic.lean | MeasureTheory.Measure.haar.chaar_self | [
{
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454,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
446,
1
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Std/Data/Nat/Gcd.lean | Nat.gcd_dvd_gcd_mul_right_right | [] | [
141,
53
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
140,
1
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Mathlib/Tactic/Ring/Basic.lean | Mathlib.Tactic.Ring.add_pf_add_overlap_zero | [
{
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319,
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Mathlib/Analysis/SpecialFunctions/Exponential.lean | hasStrictFDerivAt_exp_smul_const_of_mem_ball | [] | [
327,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
318,
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Mathlib/Algebra/Module/Zlattice.lean | Zspan.vadd_mem_fundamentalDomain | [
{
"state_after": "no goals",
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217,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
213,
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Mathlib/Combinatorics/Catalan.lean | succ_mul_catalan_eq_centralBinom | [] | [
145,
97
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
144,
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Mathlib/CategoryTheory/Limits/Preserves/Shapes/Kernels.lean | CategoryTheory.Limits.PreservesKernel.iso_hom | [
{
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115,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
113,
1
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Mathlib/SetTheory/Cardinal/Ordinal.lean | Cardinal.mul_eq_max' | [
{
"state_after": "case intro.intro.inl\na b : Cardinal\nh : ℵ₀ ≤ a * b\nha : a ≠ 0\nhb : b ≠ 0\nha' : ℵ₀ ≤ a\n⊢ a * b = max a b\n\ncase intro.intro.inr\na b : Cardinal\nh : ℵ₀ ≤ a * b\nha : a ≠ 0\nhb : b ≠ 0\nhb' : ℵ₀ ≤ b\n⊢ a * b = max a b",
"state_before": "a b : Cardinal\nh : ℵ₀ ≤ a * b\n⊢ a * b = max a ... | [
636,
47
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633,
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Mathlib/Topology/Instances/ENNReal.lean | ENNReal.tendsto_coe_sub | [] | [
677,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
675,
11
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Mathlib/Order/Hom/Basic.lean | OrderIso.lt_iff_lt | [] | [
1011,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1010,
1
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Mathlib/GroupTheory/Subgroup/Basic.lean | Subgroup.equivMapOfInjective_coe_mulEquiv | [
{
"state_after": "case h.a\nG : Type u_1\nG' : Type u_2\ninst✝³ : Group G\ninst✝² : Group G'\nA : Type ?u.690834\ninst✝¹ : AddGroup A\nN : Type ?u.690840\ninst✝ : Group N\nH : Subgroup G\ne : G ≃* G'\nx✝ : { x // x ∈ H }\n⊢ ↑(↑(equivMapOfInjective H ↑e (_ : Injective ↑e)) x✝) = ↑(↑(MulEquiv.subgroupMap e H) x✝)... | [
3488,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
3485,
1
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Mathlib/Analysis/SpecialFunctions/ExpDeriv.lean | HasDerivWithinAt.exp | [] | [
235,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
233,
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Mathlib/Analysis/NormedSpace/OperatorNorm.lean | ContinuousLinearMap.apply_apply' | [] | [
897,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
896,
1
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Mathlib/Order/PartialSups.lean | partialSups_le | [
{
"state_after": "case zero\nα : Type u_1\ninst✝ : SemilatticeSup α\nf : ℕ → α\nn : ℕ\na : α\nw✝ : ∀ (m : ℕ), m ≤ n → f m ≤ a\nw : ∀ (m : ℕ), m ≤ Nat.zero → f m ≤ a\n⊢ ↑(partialSups f) Nat.zero ≤ a\n\ncase succ\nα : Type u_1\ninst✝ : SemilatticeSup α\nf : ℕ → α\nn✝ : ℕ\na : α\nw✝ : ∀ (m : ℕ), m ≤ n✝ → f m ≤ a\n... | [
80,
78
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
76,
1
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Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.lift_sSup | [
{
"state_after": "α β : Type u\ns : Set Cardinal\nhs : BddAbove s\n⊢ ∀ (c : Cardinal), c ∈ upperBounds (lift '' s) → lift (sSup s) ≤ c\n\nα β : Type u\ns : Set Cardinal\nhs : BddAbove s\n⊢ lift (sSup s) ∈ upperBounds (lift '' s)",
"state_before": "α β : Type u\ns : Set Cardinal\nhs : BddAbove s\n⊢ lift (sSu... | [
1182,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1172,
1
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Mathlib/MeasureTheory/Function/LpSeminorm.lean | MeasureTheory.Memℒp.add | [] | [
1225,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1224,
1
] |
Mathlib/Data/Polynomial/Derivative.lean | Polynomial.iterate_derivative_smul | [
{
"state_after": "case zero\nR : Type u\nS✝ : Type v\nT : Type w\nι : Type y\nA : Type z\na b : R\nn : ℕ\ninst✝³ : Semiring R\nS : Type u_1\ninst✝² : Monoid S\ninst✝¹ : DistribMulAction S R\ninst✝ : IsScalarTower S R R\ns : S\np✝ p : R[X]\n⊢ (↑derivative^[Nat.zero]) (s • p) = s • (↑derivative^[Nat.zero]) p\n\nc... | [
189,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
185,
1
] |
Mathlib/AlgebraicGeometry/PresheafedSpace/HasColimits.lean | AlgebraicGeometry.PresheafedSpace.map_comp_c_app | [
{
"state_after": "J : Type u'\ninst✝¹ : Category J\nC : Type u\ninst✝ : Category C\nF : J ⥤ PresheafedSpace C\nj₁ j₂ j₃ : J\nf : j₁ ⟶ j₂\ng : j₂ ⟶ j₃\nU : Opens ↑↑(F.obj j₃)\n⊢ (F.map f).base ≫ (F.map g).base = (F.map f ≫ F.map g).base",
"state_before": "J : Type u'\ninst✝¹ : Category J\nC : Type u\ninst✝ :... | [
81,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
72,
1
] |
Mathlib/Topology/LocallyConstant/Basic.lean | IsLocallyConstant.comp₂ | [] | [
145,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
143,
1
] |
Mathlib/Data/Polynomial/Laurent.lean | LaurentPolynomial.algebraMap_X_pow | [] | [
584,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
583,
1
] |
Mathlib/FieldTheory/Minpoly/Basic.lean | minpoly.minpoly_algHom | [
{
"state_after": "A : Type u_1\nB : Type u_2\nB' : Type u_3\ninst✝⁴ : CommRing A\ninst✝³ : Ring B\ninst✝² : Ring B'\ninst✝¹ : Algebra A B\ninst✝ : Algebra A B'\nx✝¹ : B\nf : B →ₐ[A] B'\nhf : Injective ↑f\nx : B\nx✝ : IsIntegral A x\n⊢ WellFounded.min (_ : WellFounded fun p q => degree p < degree q)\n (fun ... | [
73,
97
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
70,
1
] |
Mathlib/RingTheory/Subring/Basic.lean | Subring.prod_mem | [] | [
398,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
396,
11
] |
Std/Data/Nat/Gcd.lean | Nat.coprime.pow | [] | [
376,
30
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
375,
1
] |
Mathlib/RingTheory/GradedAlgebra/HomogeneousIdeal.lean | Ideal.IsHomogeneous.inf | [] | [
265,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
263,
1
] |
Mathlib/Topology/Algebra/InfiniteSum/Order.lean | le_tsum | [] | [
104,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
103,
1
] |
Mathlib/Data/Polynomial/Basic.lean | Polynomial.ofFinsupp_neg | [
{
"state_after": "no goals",
"state_before": "R✝ : Type u\na✝ b : R✝\nm n : ℕ\ninst✝¹ : Semiring R✝\np q : R✝[X]\nR : Type u\ninst✝ : Ring R\na : AddMonoidAlgebra R ℕ\n⊢ { toFinsupp := -a } = Polynomial.neg { toFinsupp := a }",
"tactic": "rw [neg_def]"
}
] | [
173,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
172,
1
] |
Mathlib/Algebra/IndicatorFunction.lean | Set.mulIndicator_of_mem | [] | [
81,
11
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
79,
1
] |
Mathlib/Data/List/Basic.lean | List.foldr_eq_of_comm' | [
{
"state_after": "ι : Type ?u.251255\nα : Type u\nβ : Type v\nγ : Type w\nδ : Type x\nl₁ l₂ : List α\nf : α → β → β\nhf : ∀ (a b : α) (c : β), f a (f b c) = f b (f a c)\na : β\nb c : α\nl : List α\n⊢ f c (f b (foldr f a l)) = f c (foldr f a (b :: l))",
"state_before": "ι : Type ?u.251255\nα : Type u\nβ : Ty... | [
2746,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2744,
1
] |
Mathlib/Data/Polynomial/Splits.lean | Polynomial.splits_of_splits_mul' | [
{
"state_after": "F : Type u\nK : Type v\nL : Type w\ninst✝² : CommRing K\ninst✝¹ : Field L\ninst✝ : Field F\ni : K →+* L\nf g✝ : K[X]\nhfg : map i (f * g✝) ≠ 0\nh : Splits i (f * g✝)\ng : L[X]\nhgi : Irreducible g\nhg : g ∣ map i f\n⊢ g ∣ map i f * map i g✝",
"state_before": "F : Type u\nK : Type v\nL : Ty... | [
129,
97
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
124,
1
] |
Mathlib/MeasureTheory/Function/SimpleFuncDenseLp.lean | MeasureTheory.Lp.simpleFunc.neg_toSimpleFunc | [
{
"state_after": "case h\nα : Type u_1\nβ : Type ?u.1586018\nι : Type ?u.1586021\nE : Type u_2\nF : Type ?u.1586027\n𝕜 : Type ?u.1586030\ninst✝² : MeasurableSpace α\ninst✝¹ : NormedAddCommGroup E\ninst✝ : NormedAddCommGroup F\np : ℝ≥0∞\nμ : Measure α\nf : { x // x ∈ simpleFunc E p μ }\na✝ : α\n⊢ ↑(toSimpleFunc... | [
664,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
660,
1
] |
Mathlib/RingTheory/FractionalIdeal.lean | FractionalIdeal.coeIdeal_inj | [] | [
1007,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1005,
1
] |
Mathlib/Data/PNat/Basic.lean | PNat.mk_bit1 | [] | [
198,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
197,
1
] |
Mathlib/Order/Cover.lean | Prod.mk_covby_mk_iff | [
{
"state_after": "case refine'_1\nα : Type u_2\nβ : Type u_1\ninst✝¹ : PartialOrder α\ninst✝ : PartialOrder β\na a₁ a₂ : α\nb b₁ b₂ : β\nx y : α × β\nh : (a₁, b₁) ⋖ (a₂, b₂)\n⊢ a₁ ⋖ a₂ ∧ b₁ = b₂ ∨ b₁ ⋖ b₂ ∧ a₁ = a₂\n\ncase refine'_2\nα : Type u_2\nβ : Type u_1\ninst✝¹ : PartialOrder α\ninst✝ : PartialOrder β\na... | [
553,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
546,
1
] |
Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.isLittleO_const_id_atBot | [] | [
1889,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1888,
1
] |
Mathlib/Geometry/Manifold/SmoothManifoldWithCorners.lean | LocalHomeomorph.map_extend_nhds | [
{
"state_after": "no goals",
"state_before": "𝕜 : Type u_4\nE : Type u_3\nM : Type u_1\nH : Type u_2\nE' : Type ?u.138125\nM' : Type ?u.138128\nH' : Type ?u.138131\ninst✝⁸ : NontriviallyNormedField 𝕜\ninst✝⁷ : NormedAddCommGroup E\ninst✝⁶ : NormedSpace 𝕜 E\ninst✝⁵ : TopologicalSpace H\ninst✝⁴ : Topologic... | [
838,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
836,
1
] |
Std/Data/Nat/Gcd.lean | Nat.coprime.gcd_left | [] | [
341,
44
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
340,
1
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Mathlib/RingTheory/Localization/Basic.lean | IsLocalization.ne_zero_of_mk'_ne_zero | [
{
"state_after": "R : Type u_1\ninst✝⁴ : CommSemiring R\nM : Submonoid R\nS : Type u_2\ninst✝³ : CommSemiring S\ninst✝² : Algebra R S\nP : Type ?u.704959\ninst✝¹ : CommSemiring P\ninst✝ : IsLocalization M S\ny : { x // x ∈ M }\nhxy : mk' S 0 y ≠ 0\n⊢ False",
"state_before": "R : Type u_1\ninst✝⁴ : CommSemir... | [
358,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
356,
1
] |
Mathlib/Analysis/Calculus/ContDiffDef.lean | contDiffOn_univ | [
{
"state_after": "case mp\n𝕜 : Type u\ninst✝⁸ : NontriviallyNormedField 𝕜\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 : NormedAddCommGroup G\ninst✝² : NormedSpace 𝕜 G\nX : Type uX\ninst✝¹ : ... | [
1414,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1407,
1
] |
Mathlib/Algebra/MonoidAlgebra/Support.lean | MonoidAlgebra.support_mul_single | [
{
"state_after": "no goals",
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"tactic": "classical\n ext\n simp only... | [
91,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
85,
1
] |
Mathlib/LinearAlgebra/SymplecticGroup.lean | SymplecticGroup.inv_left_mul_aux | [
{
"state_after": "no goals",
"state_before": "l : Type u_1\nR : Type u_2\ninst✝² : DecidableEq l\ninst✝¹ : Fintype l\ninst✝ : CommRing R\nA : Matrix (l ⊕ l) (l ⊕ l) R\nhA : A ∈ symplecticGroup l R\n⊢ -J l R ⬝ Aᵀ ⬝ J l R ⬝ A = (-J l R) ⬝ (Aᵀ ⬝ J l R ⬝ A)",
"tactic": "simp only [Matrix.mul_assoc, Matrix.n... | [
201,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
192,
1
] |
Mathlib/RingTheory/EuclideanDomain.lean | gcd_ne_zero_of_right | [] | [
44,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
43,
1
] |
Mathlib/Data/QPF/Multivariate/Constructions/Const.lean | MvQPF.Const.mk_get | [] | [
56,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
56,
11
] |
Mathlib/Data/Dfinsupp/Order.lean | Dfinsupp.tsub_apply | [] | [
202,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
201,
1
] |
Mathlib/Topology/Order.lean | continuous_inf_rng | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nγ : Type ?u.40406\nf : α → β\nι : Sort ?u.40413\nt₁ : TopologicalSpace α\nt₂ t₃ : TopologicalSpace β\n⊢ Continuous f ↔ Continuous f ∧ Continuous f",
"tactic": "simp only [continuous_iff_coinduced_le, le_inf_iff]"
}
] | [
774,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
772,
1
] |
Mathlib/Topology/Homotopy/HomotopyGroup.lean | GenLoop.Homotopic.refl | [] | [
175,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
174,
1
] |
Mathlib/Data/List/NodupEquivFin.lean | List.duplicate_iff_exists_distinct_nthLe | [] | [
250,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
244,
1
] |
Mathlib/Data/Stream/Init.lean | Stream'.nth_even | [
{
"state_after": "α : Type u\nβ : Type v\nδ : Type w\nn : ℕ\ns : Stream' α\n⊢ nth (even s) (succ n) = nth s (succ (succ (2 * n)))",
"state_before": "α : Type u\nβ : Type v\nδ : Type w\nn : ℕ\ns : Stream' α\n⊢ nth (even s) (succ n) = nth s (2 * succ n)",
"tactic": "change nth (even s) (succ n) = nth s (s... | [
507,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
503,
1
] |
Mathlib/Logic/Equiv/Basic.lean | Equiv.subtypeEquiv_symm | [
{
"state_after": "case h.e'_1.h.e'_1\nα : Sort ?u.67949\nβ : Sort ?u.67953\np : α → Prop\nq : β → Prop\ne : α ≃ β\nh : ∀ (a : α), p a ↔ q (↑e a)\na : β\n⊢ a = ↑e (↑e.symm a)",
"state_before": "α : Sort ?u.67949\nβ : Sort ?u.67953\np : α → Prop\nq : β → Prop\ne : α ≃ β\nh : ∀ (a : α), p a ↔ q (↑e a)\na : β\n... | [
1099,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1094,
1
] |
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