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Mathlib/Algebra/Periodic.lean | Function.Antiperiodic.periodic | [
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Mathlib/LinearAlgebra/Multilinear/Basic.lean | LinearMap.compMultilinearMap_apply | [] | [
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Mathlib/LinearAlgebra/Finsupp.lean | Finsupp.lmapDomain_supported | [
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Mathlib/Data/Set/Prod.lean | Set.range_diag | [
{
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Mathlib/Order/UpperLower/Basic.lean | isUpperSet_sUnion | [] | [
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Mathlib/Topology/Support.lean | HasCompactSupport.smul_left' | [
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Mathlib/Algebra/Lie/Subalgebra.lean | LieSubalgebra.sInf_coe_to_submodule | [] | [
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Mathlib/Algebra/GCDMonoid/Multiset.lean | Multiset.gcd_dvd | [] | [
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Mathlib/Order/Category/DistLatCat.lean | DistLatCat.coe_of | [] | [
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Mathlib/Algebra/Group/Prod.lean | MulEquiv.coe_prodComm_symm | [] | [
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Mathlib/Topology/UniformSpace/Equicontinuity.lean | Filter.Tendsto.uniformContinuous_of_uniformEquicontinuous | [] | [
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Mathlib/LinearAlgebra/Basis.lean | Basis.repr_reindex | [
{
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Mathlib/Topology/LocallyConstant/Basic.lean | LocallyConstant.coe_const | [] | [
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Mathlib/Topology/Instances/NNReal.lean | NNReal.summable_coe | [
{
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"... | [
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Mathlib/Data/Dfinsupp/Basic.lean | Dfinsupp.sumAddHom_zero | [] | [
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Mathlib/LinearAlgebra/BilinearMap.lean | LinearMap.lcomp_apply' | [] | [
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Mathlib/Data/Nat/SuccPred.lean | Nat.pred_eq_pred | [] | [
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Mathlib/Topology/ContinuousFunction/Bounded.lean | BoundedContinuousFunction.mkOfCompact_sub | [] | [
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Mathlib/SetTheory/Ordinal/CantorNormalForm.lean | Ordinal.one_CNF | [
{
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Mathlib/Data/List/Forall2.lean | List.rel_append | [] | [
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean | Complex.exp_int_mul_two_pi_mul_I | [] | [
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Mathlib/Data/Real/ENNReal.lean | ENNReal.top_ne_coe | [] | [
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Mathlib/Order/Filter/Pi.lean | Filter.pi_le_pi | [] | [
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Mathlib/SetTheory/ZFC/Basic.lean | Class.coe_diff | [] | [
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30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/MeasureTheory/Function/SpecialFunctions/Basic.lean | Measurable.csinh | [] | [
206,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
205,
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Std/Data/RBMap/Lemmas.lean | Std.RBNode.depthLB_le | [] | [
49,
30
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
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Mathlib/Data/Complex/Basic.lean | Complex.re_sq_le_normSq | [] | [
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45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/LinearAlgebra/Span.lean | Submodule.iSup_eq_span | [
{
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Mathlib/Data/Rat/Cast.lean | Rat.cast_inv_nat | [
{
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Mathlib/LinearAlgebra/BilinearForm.lean | BilinForm.IsSymm.add | [] | [
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Mathlib/Order/Hom/Lattice.lean | OrderHomClass.to_lattice_hom_apply | [] | [
1196,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/Set/Lattice.lean | Set.image_preimage | [] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/CategoryTheory/Limits/Shapes/Biproducts.lean | CategoryTheory.Limits.Bicone.toCone_π_app | [] | [
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90
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/Semiquot.lean | Semiquot.nonempty | [] | [
70,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Geometry/Manifold/SmoothManifoldWithCorners.lean | SmoothManifoldWithCorners.mk' | [] | [
655,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
651,
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Mathlib/Data/Finset/Lattice.lean | Finset.inf_empty | [] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
328,
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Mathlib/Analysis/Convex/Function.lean | ConvexOn.convex_le | [
{
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Mathlib/ModelTheory/Satisfiability.lean | FirstOrder.Language.Theory.IsMaximal.mem_or_not_mem | [] | [
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Mathlib/Topology/LocalHomeomorph.lean | LocalHomeomorph.isImage_source_target_of_disjoint | [] | [
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73
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/Complex/Exponential.lean | Complex.sin_zero | [
{
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}
] | [
796,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/MeasureTheory/Integral/IntervalIntegral.lean | intervalIntegral.integral_nonneg_of_ae_restrict | [
{
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Mathlib/Data/Finset/Basic.lean | Finset.coe_coeEmb | [] | [
468,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
467,
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Mathlib/LinearAlgebra/AffineSpace/AffineSubspace.lean | AffineSubspace.top_coe | [] | [
742,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.mk_toNat_eq_card | [
{
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}
] | [
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78
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/PSeries.lean | Real.summable_nat_rpow_inv | [
{
"state_after": "case inl\np : ℝ\nhp : 0 ≤ p\n⊢ (Summable fun n => (↑n ^ p)⁻¹) ↔ 1 < p\n\ncase inr\np : ℝ\nhp : p < 0\n⊢ (Summable fun n => (↑n ^ p)⁻¹) ↔ 1 < p",
"state_before": "p : ℝ\n⊢ (Summable fun n => (↑n ^ p)⁻¹) ↔ 1 < p",
"tactic": "cases' le_or_lt 0 p with hp hp"
},
{
"state_after": "ca... | [
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Std/Data/List/Lemmas.lean | List.mem_union_iff | [
{
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"tactic": "induction l₁ <;> simp [*, or_assoc]"
}
] | [
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Mathlib/Analysis/NormedSpace/AffineIsometry.lean | AffineIsometryEquiv.pointReflection_toAffineEquiv | [] | [
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Mathlib/Data/Stream/Init.lean | Stream'.exists_of_mem_map | [] | [
192,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
191,
1
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Mathlib/Data/Complex/Exponential.lean | Real.neg_one_le_sin | [] | [
1275,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1274,
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Mathlib/GroupTheory/FreeAbelianGroup.lean | FreeAbelianGroup.map_neg | [] | [
224,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
223,
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Mathlib/Data/List/Cycle.lean | Cycle.mem_lists_iff_coe_eq | [
{
"state_after": "α : Type u_1\ns : Cycle α\nl✝ l : List α\n⊢ l✝ ∈ ↑(cyclicPermutations l) ↔ ↑l✝ = Quotient.mk'' l",
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},
{
"state_after... | [
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Mathlib/FieldTheory/IntermediateField.lean | IntermediateField.list_sum_mem | [] | [
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Std/Data/Array/Lemmas.lean | Array.back?_push | [
{
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"tactic": "simp [back?, getElem?_eq_data_get?]"
}
] | [
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Mathlib/GroupTheory/Subgroup/ZPowers.lean | Subgroup.npow_mem_zpowers | [] | [
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40
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Mathlib/Algebra/Lie/Subalgebra.lean | LieSubalgebra.coe_incl' | [] | [
292,
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Mathlib/Data/Nat/PartENat.lean | PartENat.lt_wf | [
{
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"tactic": "classical\n change WellFounded fun a b : PartENat => a < b\n simp_rw [← withTopEquiv_lt]\n exact InvImage.wf _ (WithTop.wellFounded_lt Nat.lt_wfRel.wf)"
},
{
"state_after": "⊢ WellFounded fun a b => ... | [
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65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/Analytic/Basic.lean | HasFPowerSeriesAt.eq_zero | [
{
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Mathlib/CategoryTheory/Limits/Shapes/Terminal.lean | CategoryTheory.Limits.InitialMonoClass.of_terminal | [] | [
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71
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548,
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Mathlib/Data/Polynomial/Div.lean | Polynomial.not_isField | [
{
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500,
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Mathlib/CategoryTheory/Category/Basic.lean | CategoryTheory.eq_of_comp_right_eq | [
{
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219,
8
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Mathlib/Data/List/Basic.lean | List.getLast_mem | [
{
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754,
44
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Mathlib/Data/Rat/Cast.lean | Rat.cast_bit0 | [] | [
239,
15
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238,
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean | Real.cos_add_two_pi | [] | [
321,
17
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320,
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Mathlib/Logic/Equiv/Basic.lean | Equiv.piCongr'_apply | [] | [
1825,
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1824,
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Mathlib/Algebra/Order/Pi.lean | Function.one_le_const_of_one_le | [] | [
126,
75
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126,
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Mathlib/MeasureTheory/Integral/Bochner.lean | MeasureTheory.norm_integral_le_lintegral_norm | [
{
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Mathlib/Algebra/Lie/Subalgebra.lean | LieSubalgebra.submodule_span_le_lieSpan | [
{
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"state_before": "R : Type ... | [
693,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
691,
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Mathlib/Topology/MetricSpace/Baire.lean | nonempty_interior_of_iUnion_of_closed | [
{
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356,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
354,
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Mathlib/CategoryTheory/Subobject/Limits.lean | CategoryTheory.Limits.kernelSubobjectIsoComp_inv_arrow | [
{
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224,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
221,
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Mathlib/MeasureTheory/Measure/MutuallySingular.lean | MeasureTheory.Measure.MutuallySingular.mono_ac | [] | [
81,
24
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79,
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src/lean/Init/Data/Array/Basic.lean | Array.toArrayAux_eq | [
{
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] | [
739,
116
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
738,
1
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Mathlib/Order/LocallyFinite.lean | Prod.Icc_eq | [] | [
976,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
973,
1
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Mathlib/Analysis/NormedSpace/OperatorNorm.lean | ContinuousLinearMap.unit_le_op_norm | [] | [
228,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
227,
1
] |
Mathlib/Order/Filter/AtTopBot.lean | Filter.mem_atTop_sets | [] | [
164,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
162,
1
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Mathlib/NumberTheory/ArithmeticFunction.lean | Nat.ArithmeticFunction.isMultiplicative_pow | [] | [
836,
27
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Mathlib/Order/Hom/Basic.lean | OrderIso.coe_toOrderEmbedding | [] | [
810,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
809,
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Mathlib/LinearAlgebra/Matrix/Hermitian.lean | Matrix.IsHermitian.coe_re_apply_self | [
{
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264,
98
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263,
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Mathlib/Algebra/Quandle.lean | Rack.act_invAct_eq | [] | [
225,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
224,
1
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Mathlib/Topology/ContinuousFunction/Bounded.lean | BoundedContinuousFunction.coe_to_continuous_fun | [] | [
96,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
96,
1
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Mathlib/Topology/Instances/ENNReal.lean | ENNReal.tsum_toNNReal_eq | [] | [
1244,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1241,
1
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Mathlib/Combinatorics/SetFamily/Compression/UV.lean | sup_sdiff_injOn | [
{
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"state_before": "α : Type u_1\ninst✝ : GeneralizedBooleanAlgebra α\nu v : α\... | [
67,
89
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
60,
1
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Mathlib/Analysis/Convex/Basic.lean | convex_openSegment | [
{
"state_after": "𝕜 : Type u_1\nE : Type u_2\nF : Type ?u.185790\nβ : Type ?u.185793\ninst✝² : StrictOrderedCommSemiring 𝕜\ninst✝¹ : AddCommGroup E\ninst✝ : Module 𝕜 E\na b : E\n⊢ ∀ ⦃x : E⦄, x ∈ openSegment 𝕜 a b → ∀ ⦃y : E⦄, y ∈ openSegment 𝕜 a b → openSegment 𝕜 x y ⊆ openSegment 𝕜 a b",
"state_befo... | [
449,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
444,
1
] |
Mathlib/CategoryTheory/Subobject/Lattice.lean | CategoryTheory.Subobject.inf_map | [
{
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"state_before": "C : Type u₁\ninst✝³ : Category ... | [
507,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
500,
1
] |
Mathlib/Algebra/Order/Monoid/MinMax.lean | max_mul_mul_left | [] | [
59,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
58,
1
] |
Mathlib/Topology/Algebra/InfiniteSum/Basic.lean | Summable.prod_factor | [] | [
1204,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1202,
1
] |
Std/Data/Nat/Gcd.lean | Nat.coprime.gcd_mul_left_cancel | [
{
"state_after": "no goals",
"state_before": "k n m : Nat\nH : coprime k n\n⊢ coprime (gcd (k * m) n) k",
"tactic": "rw [coprime, Nat.gcd_assoc, H.symm.gcd_eq_one, gcd_one_right]"
}
] | [
260,
33
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
255,
1
] |
Mathlib/MeasureTheory/Function/AEEqOfIntegral.lean | MeasureTheory.Integrable.ae_eq_zero_of_forall_set_integral_eq_zero | [
{
"state_after": "α : Type u_2\nE : Type u_1\nm m0 : MeasurableSpace α\nμ : Measure α\ns t : Set α\ninst✝² : NormedAddCommGroup E\ninst✝¹ : NormedSpace ℝ E\ninst✝ : CompleteSpace E\np : ℝ≥0∞\nf : α → E\nhf : Integrable f\nhf_zero : ∀ (s : Set α), MeasurableSet s → ↑↑μ s < ⊤ → (∫ (x : α) in s, f x ∂μ) = 0\nhf_Lp... | [
532,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
522,
1
] |
Std/Data/RBMap/Alter.lean | Std.RBNode.WF.alter | [] | [
398,
63
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
394,
1
] |
Mathlib/Order/Filter/Prod.lean | Filter.prod_top | [
{
"state_after": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.4998\nδ : Type ?u.5001\nι : Sort ?u.5004\ns : Set α\nt : Set β\nf✝ : Filter α\ng : Filter β\nf : Filter α\n⊢ Filter.prod f ⊤ = comap Prod.fst f",
"state_before": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.4998\nδ : Type ?u.5001\nι : Sort ?u.5004\ns : S... | [
119,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
117,
1
] |
Mathlib/Analysis/Quaternion.lean | Quaternion.coeComplex_coe | [] | [
159,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
158,
1
] |
Mathlib/MeasureTheory/Integral/Bochner.lean | ClosedEmbedding.integral_map | [] | [
1563,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1560,
1
] |
Mathlib/Algebra/ModEq.lean | AddCommGroup.sub_modEq_zero | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝ : AddCommGroup α\np a a₁ a₂ b b₁ b₂ c : α\nn : ℕ\nz : ℤ\n⊢ a - b ≡ 0 [PMOD p] ↔ a ≡ b [PMOD p]",
"tactic": "simp [sub_modEq_iff_modEq_add]"
}
] | [
281,
98
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
281,
1
] |
Mathlib/Analysis/Complex/PhragmenLindelof.lean | PhragmenLindelof.eqOn_quadrant_III | [] | [
600,
87
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
591,
1
] |
Mathlib/MeasureTheory/Function/ConvergenceInMeasure.lean | MeasureTheory.TendstoInMeasure.congr' | [
{
"state_after": "α : Type u_2\nι : Type u_1\nE : Type u_3\nm : MeasurableSpace α\nμ : Measure α\ninst✝ : Dist E\nl : Filter ι\nf f' : ι → α → E\ng g' : α → E\nh_left : ∀ᶠ (i : ι) in l, f i =ᵐ[μ] f' i\nh_right : g =ᵐ[μ] g'\nh_tendsto : TendstoInMeasure μ f l g\nε : ℝ\nhε : 0 < ε\n⊢ Tendsto (fun i => ↑↑μ {x | ε ... | [
84,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
72,
11
] |
Mathlib/Data/Set/Image.lean | Set.image_preimage_subset | [] | [
481,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
480,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/Kernels.lean | CategoryTheory.Limits.isKernelCompMono_lift | [
{
"state_after": "C : Type u\ninst✝¹ : Category C\ninst✝ : HasZeroMorphisms C\nX Y : C\nf : X ⟶ Y\nc : KernelFork f\ni : IsLimit c\nZ : C\ng : Y ⟶ Z\nhg : Mono g\nh : X ⟶ Z\nhh : h = f ≫ g\ns : KernelFork h\n⊢ Fork.ι s ≫ h = (Fork.ι s ≫ 0) ≫ g",
"state_before": "C : Type u\ninst✝¹ : Category C\ninst✝ : HasZ... | [
185,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
181,
1
] |
Mathlib/LinearAlgebra/Dual.lean | Module.Dual.transpose_comp | [] | [
160,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
158,
1
] |
Mathlib/Algebra/Ring/Basic.lean | succ_ne_self | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝¹ : NonAssocRing α\ninst✝ : Nontrivial α\na : α\nh : a + 1 = a\n⊢ a + 1 = a + 0",
"tactic": "simp [h]"
}
] | [
144,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
143,
1
] |
Mathlib/Analysis/Seminorm.lean | Seminorm.coe_le_coe | [] | [
264,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
263,
1
] |
Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.restrict_union_add_inter' | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.295789\nγ : Type ?u.295792\nδ : Type ?u.295795\nι : Type ?u.295798\nR : Type ?u.295801\nR' : Type ?u.295804\nm0 : MeasurableSpace α\ninst✝¹ : MeasurableSpace β\ninst✝ : MeasurableSpace γ\nμ μ₁ μ₂ μ₃ ν ν' ν₁ ν₂ : Measure α\ns s' t✝ : Set... | [
1719,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1717,
1
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