file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
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|---|---|---|---|---|---|---|
Mathlib/Data/Multiset/Basic.lean | Multiset.induction_on' | [] | [
441,
20
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435,
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Mathlib/Data/ULift.lean | ULift.up_bijective | [] | [
109,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
108,
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Mathlib/SetTheory/Ordinal/FixedPoint.lean | Ordinal.fp_bfamily_unbounded | [
{
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349,
76
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Mathlib/Analysis/Calculus/FDeriv/Prod.lean | fderivWithin_fst | [] | [
225,
40
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223,
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Mathlib/Order/Filter/Archimedean.lean | Filter.Tendsto.atBot_zsmul_neg_const | [
{
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"tactic": "simpa using hf.atBot_zsmul_const (neg_p... | [
250,
93
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Mathlib/Algebra/Star/Subalgebra.lean | StarSubalgebra.eq_top_iff | [
{
"state_after": "F : Type ?u.755056\nR : Type u_1\nA : Type u_2\nB : Type ?u.755065\ninst✝⁹ : CommSemiring R\ninst✝⁸ : StarRing R\ninst✝⁷ : Semiring A\ninst✝⁶ : Algebra R A\ninst✝⁵ : StarRing A\ninst✝⁴ : StarModule R A\ninst✝³ : Semiring B\ninst✝² : Algebra R B\ninst✝¹ : StarRing B\ninst✝ : StarModule R B\nS :... | [
715,
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Mathlib/LinearAlgebra/Dfinsupp.lean | Dfinsupp.mapRange.linearEquiv_refl | [] | [
242,
30
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240,
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Mathlib/Tactic/Abel.lean | Mathlib.Tactic.Abel.term_atomg | [
{
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236,
85
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Mathlib/Topology/Algebra/Order/Floor.lean | tendsto_fract_left' | [
{
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Mathlib/Data/Finset/Pointwise.lean | Finset.inter_smul_union_subset_union | [] | [
1407,
34
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1406,
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Mathlib/Analysis/SpecialFunctions/Trigonometric/InverseDeriv.lean | Real.hasDerivWithinAt_arccos_Iic | [] | [
161,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
159,
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Mathlib/Data/Matrix/Block.lean | Matrix.blockDiagonal_apply_ne | [] | [
371,
11
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
369,
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Mathlib/Order/CompleteLattice.lean | iSup_true | [] | [
1300,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/Nat/ModEq.lean | Nat.modEq_and_modEq_iff_modEq_mul | [
{
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"tactic": "rw [Nat.modEq_iff_dvd, Nat... | [
388,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
381,
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Mathlib/Topology/Algebra/InfiniteSum/Basic.lean | summable_iff_of_summable_sub | [
{
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Mathlib/Data/Finset/Basic.lean | Finset.mem_singleton | [] | [
682,
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Mathlib/Algebra/Associated.lean | dvd_dvd_iff_associated | [] | [
564,
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563,
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Mathlib/Order/WellFoundedSet.lean | Finset.isPwo_bUnion | [] | [
606,
34
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604,
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Mathlib/Algebra/CharP/Basic.lean | frobenius_nat_cast | [] | [
406,
32
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405,
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Mathlib/Data/Real/Basic.lean | Real.of_near | [] | [
671,
85
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
665,
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Mathlib/CategoryTheory/Limits/Shapes/Diagonal.lean | CategoryTheory.Limits.pullbackDiagonalMapIso_hom_fst | [
{
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158,
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Mathlib/RingTheory/Ideal/QuotientOperations.lean | Ideal.mk_ker | [
{
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106,
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103,
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Mathlib/Combinatorics/Derangements/Basic.lean | mem_derangements_iff_fixedPoints_eq_empty | [] | [
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39
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Mathlib/Analysis/Calculus/MeanValue.lean | strictMono_of_deriv_pos | [] | [
908,
21
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Mathlib/Order/FixedPoints.lean | OrderHom.lfp_lfp | [
{
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177,
16
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Mathlib/Order/Chain.lean | Flag.chain_le | [] | [
333,
11
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
332,
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Mathlib/Data/Finset/Basic.lean | Finset.insert_ne_self | [] | [
1108,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1107,
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Mathlib/Data/Int/ModEq.lean | Dvd.dvd.modEq_zero_int | [] | [
90,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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1
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Mathlib/Probability/Independence/Basic.lean | ProbabilityTheory.iIndepFun.indepFun | [] | [
304,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
301,
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Mathlib/Order/Hom/Lattice.lean | LatticeHom.coe_comp_sup_hom | [] | [
1124,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1122,
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Mathlib/Topology/Order/Basic.lean | Ioc_mem_nhdsWithin_Iio' | [] | [
484,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
483,
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Mathlib/GroupTheory/Subgroup/Basic.lean | Subgroup.inf_subgroupOf_right | [] | [
1676,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1675,
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Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.isLittleO_norm_right | [
{
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Mathlib/Logic/Basic.lean | BAll.imp_right | [] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/MeasureTheory/Constructions/Pi.lean | MeasureTheory.Measure.tprod_nil | [] | [
239,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
238,
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Mathlib/Data/List/Sort.lean | List.orderedInsert_count | [
{
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/SetTheory/Ordinal/FixedPoint.lean | Ordinal.IsNormal.le_iff_deriv | [
{
"state_after": "f✝ : Ordinal → Ordinal\nf : Ordinal → Ordinal\nH : IsNormal f\na : Ordinal\n⊢ f a ≤ a ↔ ∃ o, derivFamily (fun x => f) o = a",
"state_before": "f✝ : Ordinal → Ordinal\nf : Ordinal → Ordinal\nH : IsNormal f\na : Ordinal\n⊢ f a ≤ a ↔ ∃ o, deriv f o = a",
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},
{
... | [
545,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
542,
1
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Mathlib/Analysis/NormedSpace/OperatorNorm.lean | ContinuousLinearMap.norm_smulRightL | [] | [
1886,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1885,
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Mathlib/Data/PFun.lean | PFun.lift_injective | [] | [
157,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
156,
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Mathlib/Analysis/Convex/Side.lean | AffineSubspace.wOppSide_iff_exists_left | [
{
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493,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.Integrable.toL1_coeFn | [
{
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1355,
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1354,
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Mathlib/Data/Finsupp/Pointwise.lean | Finsupp.mul_apply | [] | [
52,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
51,
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Mathlib/Geometry/Manifold/SmoothManifoldWithCorners.lean | continuousAt_extChartAt | [] | [
1095,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1094,
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Mathlib/Algebra/GroupPower/Lemmas.lean | one_add_mul_le_pow | [] | [
759,
93
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
758,
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] |
Mathlib/Algebra/BigOperators/Finprod.lean | finprod_eq_mulIndicator_apply | [
{
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"tactic": "classical convert ... | [
365,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
363,
1
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Mathlib/Data/Real/CauSeq.lean | CauSeq.pos_add_limZero | [
{
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... | [
691,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
685,
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Mathlib/Algebra/Module/Injective.lean | Module.injective_iff_injective_object | [] | [
89,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
85,
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Mathlib/Data/List/Basic.lean | List.exists_mem_cons_of_exists | [] | [
293,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
291,
1
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Mathlib/Init/CcLemmas.lean | imp_eq_true_of_eq | [] | [
70,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
69,
1
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Mathlib/Combinatorics/SimpleGraph/Regularity/Energy.lean | Finpartition.energy_le_one | [
{
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Mathlib/Data/Polynomial/AlgebraMap.lean | Polynomial.aeval_endomorphism | [
{
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516,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
513,
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Mathlib/Data/Set/Basic.lean | Set.eq_empty_of_isEmpty | [] | [
593,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
592,
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Mathlib/RingTheory/Ideal/Operations.lean | Ideal.mul_mem_mul_rev | [] | [
452,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
451,
1
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Mathlib/LinearAlgebra/Span.lean | Submodule.map_span_le | [
{
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111,
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Std/Data/Int/DivMod.lean | Int.ediv_eq_zero_of_lt | [] | [
139,
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137,
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Mathlib/Probability/ProbabilityMassFunction/Constructions.lean | Pmf.filter_apply_eq_zero_of_not_mem | [
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280,
101
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279,
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Mathlib/Analysis/Calculus/Deriv/Polynomial.lean | Polynomial.hasStrictDerivAt_aeval | [
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80,
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Mathlib/RingTheory/WittVector/Basic.lean | WittVector.ghostFun_pow | [
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226,
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Mathlib/Order/SymmDiff.lean | ofDual_symmDiff | [] | [
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Mathlib/Algebra/BigOperators/Multiset/Basic.lean | Multiset.le_prod_nonempty_of_submultiplicative | [
{
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513,
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509,
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Mathlib/Algebra/Order/Ring/Defs.lean | Monotone.mul_const_of_nonpos | [] | [
430,
43
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Mathlib/Data/Set/Intervals/OrdConnected.lean | Set.ordConnected_Ioi | [] | [
146,
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145,
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Mathlib/Data/Set/Basic.lean | Set.Nonempty.inr | [] | [
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502,
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Mathlib/Analysis/Analytic/Basic.lean | ContinuousLinearMap.comp_hasFPowerSeriesOnBall | [
{
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Mathlib/GroupTheory/GroupAction/Group.lean | IsUnit.smul_sub_iff_sub_inv_smul | [
{
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412,
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Mathlib/RingTheory/Polynomial/Pochhammer.lean | pochhammer_zero | [] | [
54,
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Mathlib/LinearAlgebra/Vandermonde.lean | Matrix.vandermonde_mul_vandermonde_transpose | [
{
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Mathlib/Geometry/Manifold/LocalInvariantProperties.lean | StructureGroupoid.HasGroupoid.comp | [
{
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682,
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Mathlib/Order/UpperLower/Basic.lean | UpperSet.mem_inf_iff | [] | [
587,
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586,
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Mathlib/Data/Setoid/Partition.lean | IndexedPartition.out_proj | [] | [
456,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
455,
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Mathlib/Topology/Homotopy/Basic.lean | ContinuousMap.HomotopyRel.fst_eq_snd | [] | [
601,
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600,
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Mathlib/LinearAlgebra/Ray.lean | SameRay.sameRay_pos_smul_left | [] | [
151,
34
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150,
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Mathlib/RingTheory/PowerBasis.lean | PowerBasis.mem_span_pow | [
{
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119,
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Mathlib/Data/Ordmap/Ordset.lean | Ordnode.Valid.size_eq | [] | [
1113,
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1111,
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Mathlib/MeasureTheory/Measure/Haar/Basic.lean | MeasureTheory.Measure.haar.prehaar_empty | [
{
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] | [
126,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
125,
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Mathlib/Algebra/GroupPower/Lemmas.lean | multiplesAddHom_symm_apply | [] | [
1004,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1002,
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Mathlib/Data/Nat/Basic.lean | Nat.lt_succ_iff_lt_or_eq | [] | [
363,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
362,
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Mathlib/CategoryTheory/NatIso.lean | CategoryTheory.NatIso.cancel_natIso_hom_right | [
{
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] | [
142,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
141,
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Mathlib/RingTheory/GradedAlgebra/Basic.lean | DirectSum.coe_decompose_mul_of_right_mem | [
{
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336,
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333,
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Mathlib/Algebra/GradedMonoid.lean | SetLike.coe_list_dProd | [
{
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658,
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650,
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Mathlib/CategoryTheory/Yoneda.lean | CategoryTheory.yonedaEquiv_naturality | [
{
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397,
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Std/Data/Nat/Gcd.lean | Nat.coprime.gcd_both | [] | [
347,
31
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346,
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Mathlib/RingTheory/PowerSeries/Basic.lean | MvPowerSeries.inv_eq_iff_mul_eq_one | [
{
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}
] | [
1005,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1004,
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Mathlib/RingTheory/Noetherian.lean | isNoetherian_of_le | [] | [
121,
90
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
119,
1
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Mathlib/Analysis/MeanInequalities.lean | NNReal.inner_le_Lp_mul_Lq_tsum | [
{
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384,
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Std/Data/Int/Lemmas.lean | Int.le_add_of_neg_le_sub_left | [] | [
1015,
63
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Mathlib/Algebra/Order/Group/Defs.lean | le_inv_mul_iff_mul_le | [
{
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118,
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116,
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Mathlib/Data/Polynomial/Degree/Definitions.lean | Polynomial.le_natDegree_of_coe_le_degree | [
{
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"tactic": "rwa [degree_eq_natDegree <| ne_zero_of_coe_le_degree hdeg] at hdeg"
}
] | [
1131,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1128,
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Std/Data/RBMap/Lemmas.lean | Std.RBNode.Ordered.toList_sorted | [] | [
411,
16
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Mathlib/Order/WithBot.lean | WithBot.recBotCoe_coe | [] | [
112,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
110,
1
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Mathlib/Topology/Perfect.lean | IsClosed.exists_nat_bool_injection_of_not_countable | [
{
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Mathlib/Probability/ProbabilityMassFunction/Uniform.lean | Pmf.support_uniformOfFinset | [
{
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71,
57
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67,
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Mathlib/Data/Nat/GCD/Basic.lean | Nat.coprime_add_mul_left_left | [
{
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"tactic": "rw [coprime, coprime, gcd_add_mul_left_left]"
}
] | [
179,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
178,
1
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Mathlib/Algebra/Order/Ring/Lemmas.lean | Right.neg_of_mul_neg_left | [] | [
588,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
587,
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Mathlib/MeasureTheory/Integral/IntegrableOn.lean | ContinuousOn.aestronglyMeasurable | [
{
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537,
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521,
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Mathlib/Data/Dfinsupp/Order.lean | Dfinsupp.subset_support_tsub | [
{
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244,
55
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Std/Data/AssocList.lean | Std.AssocList.erase_toList | [] | [
183,
72
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
182,
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Mathlib/RingTheory/GradedAlgebra/Basic.lean | GradedRing.proj_apply | [] | [
117,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
115,
1
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Mathlib/RingTheory/HahnSeries.lean | HahnSeries.order_le_of_coeff_ne_zero | [] | [
242,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
239,
1
] |
Mathlib/Topology/Algebra/Order/Field.lean | eventually_nhdsWithin_pos_mul_left | [
{
"state_after": "𝕜 : Type u_1\nα : Type ?u.57235\ninst✝² : LinearOrderedField 𝕜\ninst✝¹ : TopologicalSpace 𝕜\ninst✝ : OrderTopology 𝕜\nl : Filter α\nf g : α → 𝕜\nx : 𝕜\nhx : 0 < x\np : 𝕜 → Prop\nh : ∀ᶠ (ε : 𝕜) in 𝓝[Ioi 0] 0, p ε\n⊢ ∀ᶠ (ε : 𝕜) in comap (fun x_1 => x * x_1) (𝓝[Ioi 0] 0), p (x * ε)",
... | [
238,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
235,
1
] |
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