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/CategoryTheory/Limits/Shapes/Pullbacks.lean | CategoryTheory.Limits.spanExt_inv_app_right | [
{
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Mathlib/Topology/Algebra/MulAction.lean | ContinuousWithinAt.smul | [] | [
105,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/GroupTheory/Nilpotent.lean | Subgroup.nilpotencyClass_le | [
{
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480,
66
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472,
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Mathlib/MeasureTheory/Measure/VectorMeasure.lean | MeasureTheory.Measure.toSignedMeasure_congr | [
{
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"tactic": "congr"
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] | [
447,
8
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445,
1
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Mathlib/Analysis/Calculus/Deriv/Add.lean | HasDerivAtFilter.neg | [
{
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204,
88
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203,
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Mathlib/Algebra/Lie/Subalgebra.lean | LieSubalgebra.bot_coe_submodule | [] | [
442,
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441,
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Mathlib/Data/Polynomial/Degree/Definitions.lean | Polynomial.ne_zero_of_degree_ge_degree | [
{
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"tactic": "rwa [Ne.def, Polynomial.degree_eq_bot]"
}
] | [
592,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
589,
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Mathlib/NumberTheory/Liouville/Residual.lean | eventually_residual_liouville | [
{
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"state_before": "⊢ ∀ᶠ (x : ℝ) in residual ℝ, Liouville x",
"tactic": "rw [Filter.Eventually, setOf_liouville_eq_irrational_inter_iInter_iUnion]"
},
{
"state_after": "⊢ ... | [
72,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/Finset/Lattice.lean | Finset.sup_inf_distrib_left | [
{
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Mathlib/Data/Set/Lattice.lean | Set.iInter_plift_down | [] | [
242,
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Mathlib/Data/Finsupp/Basic.lean | Finsupp.filter_apply_neg | [] | [
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Mathlib/Data/Seq/WSeq.lean | Stream'.WSeq.mem_append_left | [] | [
1079,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/SpecialFunctions/Log/Basic.lean | Real.surjOn_log | [] | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/MeasureTheory/Function/LpSpace.lean | MeasureTheory.Lp.coeFn_sub | [] | [
240,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
239,
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Mathlib/Data/List/Sublists.lean | List.sublists'_eq_sublists'Aux | [
{
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Mathlib/Data/Matrix/Basic.lean | Matrix.sum_mul | [] | [
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59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Algebra/Order/Monoid/Lemmas.lean | mul_le_of_le_one_right' | [] | [
346,
23
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342,
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Mathlib/Algebra/Quaternion.lean | Quaternion.zero_im | [] | [
861,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
861,
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Mathlib/GroupTheory/GroupAction/Pi.lean | Pi.single_smul₀ | [] | [
199,
85
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/Nat/Basic.lean | Nat.lt_div_mul_add | [
{
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"state_before": "m n k a b : ℕ\nhb : 0 < b\n⊢ a < a / b * b + b",
"tactic": "rw [← Nat.succ_mul, ← Nat.div_lt_iff_lt_mul hb]"
},
{
"state_after": "no goals",
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Mathlib/Init/Data/Bool/Lemmas.lean | Bool.eq_true_eq_not_eq_false | [
{
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Mathlib/Data/Sum/Basic.lean | Sum.map_inl | [] | [
218,
6
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Mathlib/Data/Finsupp/BigOperators.lean | Multiset.support_sum_eq | [
{
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113,
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Mathlib/MeasureTheory/Function/LpSeminorm.lean | MeasureTheory.lintegral_rpow_nnnorm_lt_top_of_snorm'_lt_top | [
{
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Mathlib/GroupTheory/Submonoid/Pointwise.lean | AddSubmonoid.pow_eq_closure_pow_set | [
{
"state_after": "no goals",
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"tactic": "rw [← closure_pow, closure_eq]"
}
... | [
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36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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src/lean/Init/Data/Array/Basic.lean | Array.size_swap | [
{
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Mathlib/Topology/Maps.lean | OpenEmbedding.comp | [] | [
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Mathlib/Algebra/Module/Equiv.lean | LinearEquiv.symm_mk | [] | [
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Mathlib/Algebra/Quaternion.lean | Quaternion.smul_imI | [] | [
1038,
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Mathlib/LinearAlgebra/Dual.lean | Module.DualBases.coe_basis | [
{
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Mathlib/Data/List/Forall2.lean | List.rel_filterMap | [
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Mathlib/Data/Real/ENNReal.lean | ENNReal.toReal_le_add | [] | [
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Mathlib/Data/Dfinsupp/Lex.lean | Dfinsupp.lex_lt_of_lt_of_preorder | [
{
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Mathlib/Algebra/Algebra/Spectrum.lean | spectrum.unit_smul_eq_smul | [
{
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Mathlib/Analysis/Convex/Side.lean | AffineSubspace.isPreconnected_setOf_sSameSide | [
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Mathlib/Data/Sym/Basic.lean | SymOptionSuccEquiv.decode_inr | [] | [
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Mathlib/RingTheory/HahnSeries.lean | HahnSeries.coeff_toMvPowerSeries | [] | [
1270,
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Mathlib/Geometry/Manifold/SmoothManifoldWithCorners.lean | smoothManifoldWithCorners_of_contDiffOn | [
{
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666,
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.exists_ne_forall_mem_nhds_pos_measure_preimage | [
{
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Mathlib/Topology/Filter.lean | Filter.nhds_top | [
{
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}
] | [
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61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
122,
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Mathlib/Order/Disjoint.lean | IsCompl.inf_sup | [] | [
575,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
574,
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Mathlib/Topology/Order/Basic.lean | Covby.nhdsWithin_Iio | [] | [
468,
65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
467,
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Mathlib/RingTheory/Ideal/Operations.lean | Ideal.IsPrime.radical | [] | [
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32
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915,
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Mathlib/GroupTheory/Subgroup/Basic.lean | Subgroup.mem_top | [] | [
870,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/Normed/Group/AddTorsor.lean | dist_eq_norm_vsub' | [] | [
89,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
88,
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Mathlib/Data/Finsupp/Defs.lean | Finsupp.unique_single_eq_iff | [
{
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Mathlib/Analysis/Complex/CauchyIntegral.lean | Complex.integral_boundary_rect_of_continuousOn_of_hasFDerivAt_real | [] | [
225,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
215,
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Mathlib/Algebra/DirectSum/Internal.lean | DirectSum.coe_mul_of_apply_add | [] | [
219,
87
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
217,
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Mathlib/Analysis/Calculus/ContDiff.lean | contDiffOn_id | [] | [
186,
25
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Mathlib/LinearAlgebra/AffineSpace/AffineMap.lean | AffineMap.mk'_linear | [] | [
224,
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223,
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Mathlib/Algebra/DirectSum/Module.lean | DirectSum.of_smul | [] | [
90,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
89,
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Mathlib/GroupTheory/Subgroup/Basic.lean | Subgroup.subgroupOf_map_subtype | [] | [
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49
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Mathlib/Data/Finset/Sups.lean | Finset.sups_sups_sups_comm | [] | [
216,
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215,
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Mathlib/SetTheory/Ordinal/FixedPoint.lean | Ordinal.apply_lt_nfpFamily | [] | [
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Mathlib/Algebra/DirectSum/Module.lean | DirectSum.linearMap_ext | [] | [
142,
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140,
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Mathlib/Computability/RegularExpressions.lean | RegularExpression.deriv_char_self | [] | [
193,
13
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192,
1
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Mathlib/Computability/TuringMachine.lean | Turing.BlankRel.symm | [] | [
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10
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130,
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Mathlib/Order/Filter/Basic.lean | Filter.le_seq | [] | [
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2633,
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Mathlib/Topology/Algebra/Order/IntermediateValue.lean | IsPreconnected.mem_intervals | [
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Mathlib/Algebra/GroupPower/Order.lean | Monotone.pow_right | [
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Mathlib/RingTheory/PowerSeries/Basic.lean | MvPowerSeries.coeff_invOfUnit | [
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Mathlib/Combinatorics/SimpleGraph/Connectivity.lean | SimpleGraph.Walk.IsCycle.toDeleteEdges | [] | [
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Mathlib/LinearAlgebra/Matrix/IsDiag.lean | Matrix.isDiag_diagonal | [] | [
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Mathlib/RingTheory/SimpleModule.lean | LinearMap.injective_of_ne_zero | [] | [
140,
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Mathlib/Topology/Basic.lean | ContinuousAt.comp | [] | [
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Mathlib/Data/Finset/Lattice.lean | Set.iInter_eq_iInter_finset | [] | [
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Mathlib/CategoryTheory/Limits/Shapes/Types.lean | CategoryTheory.Limits.Types.binaryCofan_isColimit_iff | [
{
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Mathlib/FieldTheory/Adjoin.lean | IntermediateField.finrank_adjoin_simple_eq_one_iff | [
{
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745,
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Mathlib/MeasureTheory/Measure/VectorMeasure.lean | MeasureTheory.VectorMeasure.of_iUnion_nonpos | [] | [
233,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
230,
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Mathlib/Analysis/Calculus/FDeriv/Add.lean | fderivWithin_add_const | [
{
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245,
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Mathlib/Analysis/SpecialFunctions/Arsinh.lean | Real.contDiff_arsinh | [] | [
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196,
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Mathlib/RingTheory/GradedAlgebra/HomogeneousLocalization.lean | HomogeneousLocalization.zero_val | [] | [
403,
25
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402,
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Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.mk_preimage_of_injective_lift | [
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2169,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Order/RelIso/Basic.lean | RelEmbedding.ext | [] | [
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20
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Mathlib/Analysis/InnerProductSpace/Basic.lean | OrthogonalFamily.norm_sq_diff_sum | [
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Mathlib/Data/Real/CauSeq.lean | CauSeq.smul_apply | [] | [
359,
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Mathlib/LinearAlgebra/FreeModule/PID.lean | LinearIndependent.restrict_scalars_algebras | [
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637,
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Mathlib/Logic/Function/Basic.lean | Function.Injective2.uncurry | [] | [
940,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
938,
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Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.IsBigOWith.const_smul_left | [
{
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1699,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1696,
1
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Mathlib/Topology/ContinuousFunction/Algebra.lean | ContinuousMap.inv_apply | [] | [
186,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
185,
1
] |
Mathlib/Topology/LocalHomeomorph.lean | LocalHomeomorph.IsImage.symm_mapsTo | [] | [
499,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
498,
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Mathlib/MeasureTheory/Integral/SetToL1.lean | MeasureTheory.SimpleFunc.norm_setToSimpleFunc_le_sum_op_norm | [
{
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575,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
570,
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Mathlib/Geometry/Euclidean/Angle/Unoriented/RightAngle.lean | InnerProductGeometry.cos_angle_add_of_inner_eq_zero | [
{
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"state_before": "V : Type u_1\ninst✝¹ : NormedAddCommGroup V\ninst✝ : InnerProductSpace ℝ V\nx y : V\nh : inner x y = 0\n⊢ Real.cos (angle x (x + y)) = ‖x‖ / ‖x + y‖",
... | [
146,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
139,
1
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Mathlib/Algebra/Bounds.lean | BddBelow.inv | [] | [
54,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
53,
1
] |
Mathlib/Data/List/BigOperators/Basic.lean | List.exists_mem_ne_one_of_prod_ne_one | [
{
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"tactic": "simpa only [not_forall,... | [
538,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
537,
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Mathlib/Init/Algebra/Order.lean | lt_or_ge | [] | [
349,
11
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
348,
1
] |
Mathlib/CategoryTheory/Subobject/MonoOver.lean | CategoryTheory.MonoOver.forget_obj_hom | [] | [
102,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
101,
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] |
Std/Data/List/Init/Lemmas.lean | List.any_cons | [] | [
35,
66
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
35,
9
] |
Mathlib/Topology/Algebra/Module/LinearPMap.lean | LinearPMap.IsClosed.isClosable | [] | [
80,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
79,
1
] |
Mathlib/GroupTheory/Subsemigroup/Operations.lean | MulMemClass.coe_mul | [] | [
534,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
533,
1
] |
Mathlib/Topology/MetricSpace/Lipschitz.lean | LipschitzWith.bounded_image | [] | [
396,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
392,
1
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Mathlib/GroupTheory/Subsemigroup/Operations.lean | Subsemigroup.mem_map | [] | [
238,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
237,
1
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Mathlib/Data/Num/Lemmas.lean | Num.cast_le | [
{
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"state_before": "α : Type u_1\ninst✝ : LinearOrderedSemiring α\nm n : Num\n⊢ ↑m ≤ ↑n ↔ m ≤ n",
"tactic": "rw [← not_lt]"
},
{
"state_after": "no goals",
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872,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
871,
1
] |
Mathlib/Analysis/Complex/Basic.lean | IsROrC.summable_ofReal | [
{
"state_after": "no goals",
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"tactic": "simpa only [IsROrC.reClm_apply, IsROrC.ofReal_re] using reClm.summable h"
}
] | [
515,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
513,
1
] |
Mathlib/Topology/Algebra/Monoid.lean | ContinuousOn.mul | [] | [
112,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
110,
1
] |
Mathlib/Data/Finset/Pointwise.lean | Finset.vsub_inter_subset | [] | [
1551,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1550,
1
] |
Mathlib/MeasureTheory/MeasurableSpace.lean | measurable_pi_iff | [
{
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842,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
840,
1
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Mathlib/Analysis/Complex/UnitDisc/Basic.lean | Complex.UnitDisc.coe_eq_zero | [] | [
114,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
113,
1
] |
Mathlib/Analysis/NormedSpace/AddTorsor.lean | antilipschitzWith_lineMap | [
{
"state_after": "no goals",
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234,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
230,
1
] |
Mathlib/MeasureTheory/Integral/Bochner.lean | MeasureTheory.SimpleFunc.integral_eq_sum | [
{
"state_after": "α : Type u_1\nE : Type u_2\nF : Type ?u.1250929\n𝕜 : Type ?u.1250932\ninst✝¹⁰ : NormedAddCommGroup E\ninst✝⁹ : NormedSpace ℝ E\ninst✝⁸ : CompleteSpace E\ninst✝⁷ : NontriviallyNormedField 𝕜\ninst✝⁶ : NormedSpace 𝕜 E\ninst✝⁵ : SMulCommClass ℝ 𝕜 E\ninst✝⁴ : NormedAddCommGroup F\ninst✝³ : Norm... | [
1357,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1355,
1
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