file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
values | url stringclasses 4
values | start list |
|---|---|---|---|---|---|---|
Mathlib/Data/Set/Function.lean | Set.univ_pi_piecewise_univ | [
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Mathlib/Data/Set/Image.lean | Set.preimage_inr_image_inl | [
{
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924,
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Mathlib/LinearAlgebra/Determinant.lean | LinearEquiv.coe_det | [] | [
380,
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379,
1
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Mathlib/Control/Applicative.lean | Applicative.map_seq_map | [
{
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"tactic": "simp ... | [
37,
91
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36,
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Mathlib/Data/Multiset/Basic.lean | Multiset.card_eq_card_of_rel | [
{
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"tactic": "induction h <;> simp [*]"
}
] | [
2781,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2780,
1
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Mathlib/Topology/MetricSpace/GromovHausdorffRealized.lean | GromovHausdorff.dist_mem_candidates | [
{
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225,
41
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221,
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Std/Data/List/Lemmas.lean | List.get_of_mem | [] | [
503,
92
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501,
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Mathlib/Analysis/NormedSpace/AddTorsor.lean | nndist_right_lineMap | [] | [
139,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
137,
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Mathlib/Algebra/Order/Rearrangement.lean | AntivaryOn.sum_smul_eq_sum_comp_perm_smul_iff | [] | [
230,
87
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227,
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Mathlib/Topology/Algebra/Group/Basic.lean | inv_closure | [] | [
370,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
369,
1
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Mathlib/Data/Finset/LocallyFinite.lean | Finset.nonempty_Ioo | [
{
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"tactic": "rw [← coe_nonempty, coe_Ioo, Set.nonempty_Ioo]"
}
] | [
65,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
64,
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Mathlib/Data/Int/Interval.lean | Int.Ico_eq_finset_map | [] | [
91,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
89,
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.le_liftLinear_apply | [] | [
1135,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1133,
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Mathlib/Analysis/Calculus/FormalMultilinearSeries.lean | ContinuousLinearMap.compFormalMultilinearSeries_apply' | [] | [
201,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
199,
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Mathlib/MeasureTheory/Group/Measure.lean | MeasureTheory.null_iff_of_isMulLeftInvariant | [
{
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555,
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Mathlib/FieldTheory/RatFunc.lean | RatFunc.liftAlgHom_apply_div' | [] | [
978,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
976,
1
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Mathlib/Algebra/MonoidAlgebra/Basic.lean | AddMonoidAlgebra.lift_unique | [
{
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2009,
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2005,
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Mathlib/Order/Monotone/Basic.lean | StrictAntiOn.dual | [] | [
255,
11
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
253,
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Mathlib/Data/Finsupp/Basic.lean | Finsupp.prod_option_index | [
{
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855,
48
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843,
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Mathlib/CategoryTheory/Abelian/Opposite.lean | CategoryTheory.cokernel.π_unop | [
{
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}
] | [
139,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/RingTheory/AlgebraTower.lean | Basis.smul_repr | [
{
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148,
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Mathlib/GroupTheory/Subgroup/Basic.lean | Subgroup.comap_subtype | [] | [
1608,
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1607,
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Mathlib/Topology/Algebra/Order/MonotoneContinuity.lean | StrictMonoOn.continuousWithinAt_left_of_image_mem_nhdsWithin | [] | [
201,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
198,
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.tsum_meas_le_meas_iUnion_of_disjoint | [
{
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205,
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Mathlib/Algebra/ModEq.lean | AddCommGroup.zsmul_add_modEq | [
{
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"tactic": "simp [← sub_sub]"
}
] | [
122,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
121,
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Mathlib/Data/Finset/Basic.lean | List.toFinset_eq | [
{
"state_after": "no goals",
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"tactic": "rwa [Multiset.coe_nodup]"
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54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/MeasureTheory/Function/SimpleFunc.lean | MeasureTheory.SimpleFunc.inf_apply | [] | [
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538,
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Mathlib/Analysis/Convex/Function.lean | StrictConcaveOn.subset | [] | [
123,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/LinearAlgebra/Lagrange.lean | Lagrange.degree_basis | [
{
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"tactic": "rw [degree_eq_natDegree (basis_ne_zero hvs hi), natDegree_ba... | [
254,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
252,
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Mathlib/LinearAlgebra/FreeModule/PID.lean | Submodule.exists_smith_normal_form_of_le | [
{
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475,
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453,
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Mathlib/NumberTheory/Zsqrtd/Basic.lean | Zsqrtd.sqLe_mul | [
{
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"tactic": "intro xy zw"
... | [
480,
11
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
467,
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Mathlib/Data/List/Cycle.lean | List.next_cons_concat | [
{
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181,
18
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176,
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Mathlib/Data/Real/EReal.lean | EReal.coe_nnreal_lt_top | [] | [
497,
79
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
497,
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Mathlib/Data/Polynomial/Degree/Definitions.lean | Polynomial.coeff_eq_zero_of_degree_lt | [] | [
345,
65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
344,
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Mathlib/Algebra/Order/Ring/WithTop.lean | WithBot.bot_lt_mul' | [] | [
258,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
257,
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Mathlib/Data/Polynomial/FieldDivision.lean | Polynomial.degree_map | [] | [
279,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
278,
1
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Mathlib/Analysis/NormedSpace/BoundedLinearMaps.lean | ContinuousLinearMap.continuous₂ | [] | [
428,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
426,
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Mathlib/Data/FinEnum.lean | FinEnum.Finset.mem_enum | [
{
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140,
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Mathlib/FieldTheory/IntermediateField.lean | toIntermediateField_toSubalgebra | [
{
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... | [
305,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
302,
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Mathlib/Data/Nat/Parity.lean | Function.Involutive.iterate_bit0 | [
{
"state_after": "no goals",
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"tactic": "rw [bit0, ← two_mul, iterate_mul, involutive_iff_iter_2_eq_id.1 hf, iterate_id]"
}
] | [
302,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
301,
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Mathlib/Data/Matrix/Basic.lean | Matrix.submatrix_sub | [] | [
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6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2422,
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Mathlib/Algebra/Hom/Ring.lean | NonUnitalRingHom.coe_one | [] | [
317,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
316,
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Mathlib/Data/MvPolynomial/Rename.lean | MvPolynomial.exists_finset_rename | [
{
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251,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
231,
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Mathlib/ModelTheory/Definability.lean | Set.Definable.compl | [
{
"state_after": "case intro\nM : Type w\nA : Set M\nL : Language\ninst✝ : Structure L M\nα : Type u₁\nβ : Type ?u.15860\nB : Set M\ns✝ s : Set (α → M)\nφ : Formula (L[[↑A]]) α\nhφ : s = setOf (Formula.Realize φ)\n⊢ Definable A L (sᶜ)",
"state_before": "M : Type w\nA : Set M\nL : Language\ninst✝ : Structure... | [
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66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
141,
1
] |
Mathlib/Algebra/Order/Monoid/WithTop.lean | WithBot.add_eq_bot | [] | [
589,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
588,
1
] |
Mathlib/MeasureTheory/Measure/Content.lean | MeasureTheory.Content.is_mul_left_invariant_innerContent | [
{
"state_after": "no goals",
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221,
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217,
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Mathlib/Data/Bool/Basic.lean | Bool.le_true | [] | [
341,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
340,
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Mathlib/MeasureTheory/Integral/Lebesgue.lean | MeasureTheory.set_lintegral_lt_top_of_bddAbove | [
{
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Mathlib/Data/Sum/Basic.lean | Sum.elim_lam_const_lam_const | [] | [
632,
25
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630,
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean | Real.Angle.sign_add_pi | [] | [
876,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
875,
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Mathlib/Algebra/Associated.lean | irreducible_mul_iff | [
{
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290,
38
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282,
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Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometry.norm_map | [] | [
234,
39
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233,
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Mathlib/GroupTheory/FreeGroup.lean | FreeGroup.eqvGen_step_iff_join_red | [] | [
470,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
464,
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src/lean/Init/Prelude.lean | congrFun | [] | [
364,
10
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363,
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Mathlib/Data/List/Indexes.lean | List.map_enumFrom_eq_zipWith | [
{
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165,
60
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149,
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Mathlib/Data/Finset/MulAntidiagonal.lean | Finset.mulAntidiagonal_mono_left | [] | [
83,
62
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82,
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Mathlib/Algebra/Order/CompleteField.lean | LinearOrderedField.coe_inducedOrderRingIso | [] | [
335,
85
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335,
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Mathlib/Algebra/Algebra/Hom.lean | AlgHom.id_toRingHom | [] | [
318,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
317,
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Mathlib/Order/LiminfLimsup.lean | Filter.limsSup_principal | [
{
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562,
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Mathlib/Topology/FiberBundle/Trivialization.lean | Trivialization.coe_fst_eventuallyEq_proj' | [] | [
436,
50
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435,
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Mathlib/Data/ZMod/Basic.lean | ZMod.cast_nat_cast | [] | [
355,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
354,
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Mathlib/MeasureTheory/Function/SimpleFunc.lean | MeasureTheory.SimpleFunc.approx_comp | [
{
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854,
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Mathlib/Analysis/NormedSpace/Dual.lean | NormedSpace.eq_zero_of_forall_dual_eq_zero | [
{
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}
] | [
151,
77
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150,
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Mathlib/Topology/Algebra/Module/Basic.lean | ContinuousLinearEquiv.refl_symm | [] | [
2101,
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2100,
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Mathlib/Order/Filter/Ultrafilter.lean | Ultrafilter.comap_id | [
{
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"state_before": "α : Type u\nβ : Type v\nγ : Type ?u.18901\nf✝ g : Ultrafilter α\ns t : Set α\np q : α → Prop\nf : ... | [
269,
25
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266,
8
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src/lean/Init/Data/Char/Basic.lean | Char.isValidChar_of_isValidChar_Nat | [] | [
46,
39
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Mathlib/Analysis/NormedSpace/Exponential.lean | expSeries_apply_eq | [
{
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}
] | [
99,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
98,
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Mathlib/Data/List/Cycle.lean | Cycle.subsingleton_nil | [] | [
597,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
596,
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Mathlib/Data/Finset/Image.lean | Finset.mem_image_of_mem | [] | [
332,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
331,
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Mathlib/Data/Finset/PImage.lean | Finset.pimage_congr | [
{
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"state_before": "α : Type u_1\nβ : Type u_2\ninst✝² : Decidab... | [
89,
78
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
85,
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Mathlib/Algebra/Algebra/Subalgebra/Basic.lean | Subalgebra.coe_centralizer | [] | [
1399,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1398,
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Mathlib/Order/SupIndep.lean | CompleteLattice.SetIndependent.mono | [] | [
203,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
202,
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Mathlib/Data/Int/Parity.lean | Int.natAbs_odd | [
{
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"tactic": "rw [odd_iff_not_even, Nat.odd_iff_not_even, natAbs_even]"
}
] | [
219,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
218,
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Mathlib/Analysis/NormedSpace/PiLp.lean | PiLp.norm_eq_of_L2 | [
{
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585,
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Mathlib/Analysis/Convex/Extreme.lean | IsExtreme.mono | [] | [
110,
73
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
108,
11
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Mathlib/Data/Seq/Seq.lean | Stream'.Seq.append_nil | [
{
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"state_before": "α : Type u\nβ : Type v\nγ : Type w\ns : Seq α\n⊢ append s nil = s",
"tactic": "apply coinduction2 s"
... | [
671,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
664,
1
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Mathlib/Algebra/Lie/Nilpotent.lean | LieAlgebra.ad_nilpotent_of_nilpotent | [
{
"state_after": "R : Type u\nA : Type v\ninst✝² : CommRing R\ninst✝¹ : Ring A\ninst✝ : Algebra R A\na : A\nh : IsNilpotent a\n⊢ IsNilpotent ((LinearMap.mulLeft R - LinearMap.mulRight R) a)",
"state_before": "R : Type u\nA : Type v\ninst✝² : CommRing R\ninst✝¹ : Ring A\ninst✝ : Algebra R A\na : A\nh : IsNil... | [
732,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
726,
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Mathlib/Data/Option/NAry.lean | Option.map₂_coe_left | [] | [
70,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
69,
1
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Mathlib/Data/Rat/Order.lean | Rat.div_lt_div_iff_mul_lt_mul | [
{
"state_after": "a✝ b✝ c✝ : ℚ\na b c d : ℤ\nb_pos : 0 < b\nd_pos : 0 < d\n⊢ ↑a / ↑b ≤ ↑c / ↑d ∧ ¬↑c / ↑d ≤ ↑a / ↑b ↔ a * d ≤ c * b ∧ ¬c * b ≤ a * d",
"state_before": "a✝ b✝ c✝ : ℚ\na b c d : ℤ\nb_pos : 0 < b\nd_pos : 0 < d\n⊢ ↑a / ↑b < ↑c / ↑d ↔ a * d < c * b",
"tactic": "simp only [lt_iff_le_not_le]"
... | [
294,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
288,
1
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Mathlib/CategoryTheory/GlueData.lean | CategoryTheory.GlueData.diagram_l | [] | [
154,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
153,
1
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Mathlib/Data/Multiset/Powerset.lean | Multiset.powersetLenAux_nil | [] | [
201,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
200,
1
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean | Real.continuousOn_cos | [] | [
106,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
105,
1
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Mathlib/RingTheory/FractionalIdeal.lean | FractionalIdeal.le_self_mul_one_div | [
{
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43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1130,
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Mathlib/LinearAlgebra/Projection.lean | LinearMap.ofIsCompl_right_apply | [
{
"state_after": "no goals",
"state_before": "R : Type u_2\ninst✝⁹ : Ring R\nE : Type u_1\ninst✝⁸ : AddCommGroup E\ninst✝⁷ : Module R E\nF : Type u_3\ninst✝⁶ : AddCommGroup F\ninst✝⁵ : Module R F\nG : Type ?u.220443\ninst✝⁴ : AddCommGroup G\ninst✝³ : Module R G\np q : Submodule R E\nS : Type ?u.221406\ninst... | [
242,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
241,
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] |
Mathlib/Data/Sign.lean | sign_pos | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝² : Zero α\ninst✝¹ : Preorder α\ninst✝ : DecidableRel fun x x_1 => x < x_1\na : α\nha : 0 < a\n⊢ ↑sign a = 1",
"tactic": "rwa [sign_apply, if_pos]"
}
] | [
324,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
324,
1
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Mathlib/Logic/Equiv/Fin.lean | finSuccEquiv_symm_none | [] | [
211,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
210,
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Mathlib/Analysis/NormedSpace/Exponential.lean | exp_conj | [] | [
614,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
613,
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] |
Mathlib/CategoryTheory/Sites/SheafOfTypes.lean | CategoryTheory.Presieve.compatible_iff_sieveCompatible | [
{
"state_after": "case mp\nC : Type u₁\ninst✝ : Category C\nP Q U : Cᵒᵖ ⥤ Type w\nX Y : C\nS : Sieve X\nR : Presieve X\nJ J₂ : GrothendieckTopology C\nx : FamilyOfElements P S.arrows\n⊢ FamilyOfElements.Compatible x → FamilyOfElements.SieveCompatible x\n\ncase mpr\nC : Type u₁\ninst✝ : Category C\nP Q U : Cᵒᵖ ⥤... | [
237,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
230,
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Mathlib/Analysis/Complex/LocallyUniformLimit.lean | TendstoLocallyUniformlyOn.differentiableOn | [
{
"state_after": "E : Type u_2\nι : Type u_1\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace ℂ E\ninst✝¹ : CompleteSpace E\nU K : Set ℂ\nz : ℂ\nM r δ : ℝ\nφ : Filter ι\nF : ι → ℂ → E\nf g : ℂ → E\ninst✝ : NeBot φ\nhf : TendstoLocallyUniformlyOn F f φ U\nhF : ∀ᶠ (n : ι) in φ, DifferentiableOn ℂ (F n) U\nhU ... | [
163,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
147,
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Mathlib/Order/Interval.lean | Interval.map_pure | [] | [
423,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
422,
1
] |
Mathlib/Analysis/Calculus/FDeriv/Prod.lean | fderivWithin.snd | [] | [
331,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
329,
1
] |
Mathlib/Topology/Algebra/Group/Basic.lean | Subgroup.properlyDiscontinuousSMul_opposite_of_tendsto_cofinite | [
{
"state_after": "α : Type u\nβ : Type v\nG : Type w\nH : Type x\ninst✝⁴ : TopologicalSpace G\ninst✝³ : Group G\ninst✝² : TopologicalGroup G\nS✝ : Subgroup G\ninst✝¹ : Normal S✝\ninst✝ : IsClosed ↑S✝\nS : Subgroup G\nhS : Tendsto (↑(Subgroup.subtype S)) cofinite (cocompact G)\nK L : Set G\nhK : IsCompact K\nhL ... | [
1517,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1505,
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Mathlib/Data/Dfinsupp/Basic.lean | Dfinsupp.support_neg | [
{
"state_after": "case a\nι : Type u\nγ : Type w\nβ : ι → Type v\nβ₁ : ι → Type v₁\nβ₂ : ι → Type v₂\ndec : DecidableEq ι\ninst✝¹ : (i : ι) → AddGroup (β i)\ninst✝ : (i : ι) → (x : β i) → Decidable (x ≠ 0)\nf : Π₀ (i : ι), β i\ni : ι\n⊢ i ∈ support (-f) ↔ i ∈ support f",
"state_before": "ι : Type u\nγ : Typ... | [
1282,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1281,
1
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Mathlib/Algebra/BigOperators/Order.lean | Finset.abs_sum_le_sum_abs | [] | [
263,
86
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
262,
1
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Mathlib/Order/WithBot.lean | WithBot.strictAnti_iff | [] | [
365,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
363,
1
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Mathlib/RingTheory/Ideal/Operations.lean | Submodule.mem_of_span_eq_top_of_smul_pow_mem | [
{
"state_after": "case intro.intro\nR : Type u\nM : Type v\nF : Type ?u.123597\nG : Type ?u.123600\ninst✝² : CommSemiring R\ninst✝¹ : AddCommMonoid M\ninst✝ : Module R M\nI J : Ideal R\nN P : Submodule R M\nS : Set R\nT : Set M\nM' : Submodule R M\ns : Set R\nhs : Ideal.span s = ⊤\nx : M\nH : ∀ (r : ↑s), ∃ n, ↑... | [
274,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
263,
1
] |
Mathlib/Topology/ContinuousFunction/Algebra.lean | ContinuousMap.periodic_tsum_comp_add_zsmul | [
{
"state_after": "X : Type u_1\nY : Type u_2\nZ : Type ?u.1698588\ninst✝¹⁵ : TopologicalSpace X\ninst✝¹⁴ : TopologicalSpace Y\ninst✝¹³ : TopologicalSpace Z\n𝕜 : Type ?u.1698600\ninst✝¹² : CommSemiring 𝕜\nA : Type ?u.1698606\ninst✝¹¹ : TopologicalSpace A\ninst✝¹⁰ : Semiring A\ninst✝⁹ : TopologicalSemiring A\ni... | [
1064,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1049,
1
] |
Mathlib/Data/Set/MulAntidiagonal.lean | Set.swap_mem_mulAntidiagonal | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝ : CommSemigroup α\ns t : Set α\na : α\nx : α × α\n⊢ Prod.swap x ∈ mulAntidiagonal s t a ↔ x ∈ mulAntidiagonal t s a",
"tactic": "simp [mul_comm, and_left_comm]"
}
] | [
58,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
56,
1
] |
Mathlib/Order/Bounds/Basic.lean | bddAbove_Iio | [] | [
543,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
542,
1
] |
Mathlib/Analysis/Normed/Group/Basic.lean | LipschitzWith.mul' | [] | [
1869,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1863,
1
] |
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