file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
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Mathlib/Data/Seq/WSeq.lean | Stream'.WSeq.flatten_pure | [
{
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677,
9
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/LinearAlgebra/Dfinsupp.lean | Submodule.iSup_eq_range_dfinsupp_lsum | [
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330,
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Mathlib/Topology/CompactOpen.lean | ContinuousMap.continuous_uncurry_of_continuous | [] | [
393,
63
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391,
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Mathlib/Analysis/NormedSpace/FiniteDimension.lean | Submodule.closed_of_finiteDimensional | [] | [
384,
43
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382,
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Mathlib/Order/Category/FrmCat.lean | FrmCat.coe_of | [] | [
52,
59
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Mathlib/LinearAlgebra/Finsupp.lean | Finsupp.mem_span_range_iff_exists_finsupp | [
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667,
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665,
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Mathlib/Data/Set/Pointwise/BigOperators.lean | Set.image_list_prod | [
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35,
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Mathlib/Data/Polynomial/Laurent.lean | LaurentPolynomial.single_eq_C | [] | [
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62
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158,
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Mathlib/Data/Polynomial/Basic.lean | Polynomial.support_erase | [
{
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1035,
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Mathlib/MeasureTheory/Integral/Lebesgue.lean | MeasureTheory.lintegral_iInf | [] | [
999,
76
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
997,
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Mathlib/Data/List/Basic.lean | List.getI_append | [] | [
4490,
27
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4487,
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Mathlib/LinearAlgebra/AffineSpace/AffineMap.lean | AffineMap.pi_lineMap_apply | [] | [
715,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/Part.lean | Part.some_div_some | [
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}
] | [
780,
94
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780,
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Mathlib/RingTheory/Ideal/QuotientOperations.lean | Ideal.mem_quotient_iff_mem | [
{
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"tactic": "rw [mem_quotient_iff_mem_sup, sup_eq_left.mpr hIJ]"
}
] | [
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Mathlib/Data/Multiset/Fintype.lean | Multiset.toEnumFinset_filter_eq | [
{
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217,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
209,
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Mathlib/Analysis/NormedSpace/CompactOperator.lean | isCompactOperator_iff_isCompact_closure_image_ball | [] | [
189,
49
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184,
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Mathlib/Algebra/GroupPower/Order.lean | one_le_pow_of_one_le' | [
{
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"tactic": "simp"
},
{
... | [
57,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Combinatorics/SimpleGraph/Subgraph.lean | SimpleGraph.Subgraph.edgeSet_iInf | [
{
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"tactic": "simp [iInf]"
}
] | [
580,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
578,
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Std/Data/RBMap/Alter.lean | Std.RBNode.Path.Balanced.del | [
{
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"tactic": "induction hp genera... | [
195,
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] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
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Mathlib/Analysis/Complex/Basic.lean | Complex.dist_eq | [] | [
92,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
91,
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Mathlib/GroupTheory/Abelianization.lean | image_commutatorSet_closureCommutatorRepresentatives | [
{
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean | NonUnitalRingHom.mem_srange_self | [] | [
374,
26
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Mathlib/Topology/MetricSpace/Infsep.lean | Set.einfsep_lt_top_iff | [] | [
277,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
276,
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Mathlib/Data/Stream/Init.lean | Stream'.even_cons_cons | [
{
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Algebra/Star/Basic.lean | star_bit0 | [
{
"state_after": "no goals",
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"tactic": "simp [bit0]"
}
] | [
456,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
455,
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] |
Mathlib/Geometry/Manifold/SmoothManifoldWithCorners.lean | LocalHomeomorph.extend_preimage_mem_nhdsWithin | [
{
"state_after": "no goals",
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Mathlib/Order/Filter/Prod.lean | Filter.Eventually.curry | [
{
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Mathlib/Algebra/Quaternion.lean | Quaternion.int_cast_re | [] | [
1001,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1001,
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Mathlib/MeasureTheory/Integral/IntegrableOn.lean | MeasureTheory.integrableOn_def | [] | [
100,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
98,
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Mathlib/FieldTheory/IntermediateField.lean | IntermediateField.eq_of_le_of_finrank_eq' | [] | [
724,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
722,
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Mathlib/ModelTheory/Syntax.lean | FirstOrder.Language.Term.relabel_id_eq_id | [] | [
121,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
120,
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Mathlib/Algebra/Lie/Basic.lean | LieModuleHom.nsmul_apply | [] | [
914,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
913,
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Mathlib/NumberTheory/Zsqrtd/Basic.lean | Zsqrtd.norm_mul | [
{
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547,
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Mathlib/LinearAlgebra/AffineSpace/AffineMap.lean | AffineMap.coe_one | [] | [
456,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
455,
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Mathlib/Data/Real/NNReal.lean | NNReal.coe_eq | [] | [
170,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
169,
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Mathlib/GroupTheory/FreeGroup.lean | FreeGroup.Red.Step.cons | [] | [
143,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
142,
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Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.Integrable.re | [
{
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Mathlib/GroupTheory/Perm/Cycle/Concrete.lean | Equiv.Perm.mem_toList_iff | [
{
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Mathlib/MeasureTheory/Measure/VectorMeasure.lean | MeasureTheory.VectorMeasure.of_iUnion_nonneg | [] | [
227,
60
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224,
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Mathlib/FieldTheory/Normal.lean | AlgEquiv.liftNormal_commutes | [] | [
445,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
443,
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Std/Data/Int/DivMod.lean | Int.div_left_inj | [
{
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"tactic": "rw [← Int.mul_div_cancel' hda, ← Int.mul_div_cancel' hdb, h]"
}
] | [
817,
63
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
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Mathlib/Data/Set/Ncard.lean | Set.ncard_insert_of_mem | [
{
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}
] | [
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101
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/Convex/Basic.lean | Monotone.convex_lt | [] | [
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68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
384,
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Mathlib/Geometry/Euclidean/Sphere/Basic.lean | EuclideanGeometry.wbtw_of_collinear_of_dist_center_le_radius | [] | [
384,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Order/Hom/CompleteLattice.lean | FrameHom.cancel_left | [
{
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647,
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Mathlib/Data/MvPolynomial/Monad.lean | MvPolynomial.join₂_comp_map | [] | [
204,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
203,
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Mathlib/Algebra/Module/Torsion.lean | Submodule.iSup_torsionBy_eq_torsionBy_prod | [
{
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Mathlib/Order/RelClasses.lean | WellFoundedLT.induction | [] | [
408,
28
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407,
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Mathlib/SetTheory/Cardinal/Cofinality.lean | Ordinal.cof_omega | [
{
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"state_before": "α : Type ?u.102339\nr : α → α → Prop\n⊢ cof ω ≤ ℵ₀",
"tactic": "rw [← card_omega]"
},
{
"state_after": "no goals",
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"tactic... | [
738,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
735,
1
] |
Mathlib/Order/UpperLower/Basic.lean | UpperSet.prod_inf | [] | [
1592,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1591,
1
] |
Mathlib/Order/SuccPred/Basic.lean | Order.succ_le_succ_iff_of_not_isMax | [
{
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"tactic": "rw [succ_le_iff_of_not_isMax ha, lt_succ_iff_of_not_isMax hb]"
}
] | [
266,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
265,
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Mathlib/Order/Hom/Bounded.lean | BoundedOrderHom.id_apply | [] | [
637,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
636,
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Mathlib/RingTheory/PowerSeries/WellKnown.lean | PowerSeries.map_cos | [
{
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147,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
145,
1
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Mathlib/Order/Lattice.lean | Subtype.coe_sup | [] | [
1374,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1371,
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Mathlib/Combinatorics/SimpleGraph/Regularity/Uniform.lean | Finpartition.nonuniformWitness_mem_nonuniformWitnesses | [] | [
274,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
272,
1
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Mathlib/Algebra/Order/WithZero.lean | OrderIso.mulLeft₀'_symm | [
{
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"state_before": "α : Type u_1\na✝ b c d x y z : α\ninst✝ : LinearOrderedCommGroupWithZero α\na : α\nha : a ≠ 0\n⊢ s... | [
269,
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266,
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Mathlib/Data/Set/Basic.lean | Set.insert_inj | [] | [
1217,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1215,
1
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Mathlib/Data/Pi/Interval.lean | Pi.card_Ico | [
{
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50,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
49,
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Mathlib/Algebra/MonoidAlgebra/Support.lean | MonoidAlgebra.support_mul | [] | [
82,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
78,
1
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Mathlib/CategoryTheory/Sites/Sheafification.lean | CategoryTheory.GrothendieckTopology.sheafification_obj | [] | [
513,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
512,
1
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Mathlib/Analysis/NormedSpace/Pointwise.lean | disjoint_closedBall_closedBall_iff | [
{
"state_after": "𝕜 : Type ?u.219618\nE : Type u_1\ninst✝³ : NormedField 𝕜\ninst✝² : SeminormedAddCommGroup E\ninst✝¹ : NormedSpace 𝕜 E\ninst✝ : NormedSpace ℝ E\nx y z : E\nδ ε : ℝ\nhδ : 0 ≤ δ\nhε : 0 ≤ ε\nh : Disjoint (closedBall x δ) (closedBall y ε)\nhxy : δ + ε ≥ dist x y\n⊢ False",
"state_before": "... | [
242,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
236,
1
] |
Mathlib/MeasureTheory/Measure/Portmanteau.lean | MeasureTheory.measure_of_cont_bdd_of_tendsto_indicator | [
{
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318,
99
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
307,
1
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Mathlib/Data/MvPolynomial/Basic.lean | MvPolynomial.constantCoeff_monomial | [
{
"state_after": "no goals",
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894,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
892,
1
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Mathlib/Algebra/Order/Monoid/MinMax.lean | min_mul_mul_right | [] | [
71,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
70,
1
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Mathlib/CategoryTheory/Over.lean | CategoryTheory.Under.map_map_right | [] | [
438,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
437,
1
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Mathlib/Data/MvPolynomial/Basic.lean | MvPolynomial.constantCoeff_comp_C | [
{
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"state_before": "R : Type u\nS₁ : ... | [
902,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
900,
1
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Mathlib/Analysis/NormedSpace/Multilinear.lean | ContinuousMultilinearMap.norm_def | [] | [
315,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
314,
1
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Mathlib/Data/List/Basic.lean | List.nthLe_take' | [
{
"state_after": "no goals",
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"tactic": "simp [le_refl]"
}
] | [
2015,
93
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2014,
1
] |
Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean | Real.Angle.cos_sub_pi_div_two | [
{
"state_after": "case h\nx✝ : ℝ\n⊢ cos (↑x✝ - ↑(π / 2)) = sin ↑x✝",
"state_before": "θ : Angle\n⊢ cos (θ - ↑(π / 2)) = sin θ",
"tactic": "induction θ using Real.Angle.induction_on"
},
{
"state_after": "no goals",
"state_before": "case h\nx✝ : ℝ\n⊢ cos (↑x✝ - ↑(π / 2)) = sin ↑x✝",
"tacti... | [
471,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
469,
1
] |
Mathlib/Algebra/Order/Ring/Lemmas.lean | Left.mul_lt_of_le_of_lt_one_of_pos | [] | [
731,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
729,
1
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Mathlib/MeasureTheory/Group/Prod.lean | MeasureTheory.measurePreserving_mul_prod_inv_right | [
{
"state_after": "case h.e'_5\nG : Type u_1\ninst✝⁷ : MeasurableSpace G\ninst✝⁶ : Group G\ninst✝⁵ : MeasurableMul₂ G\nμ ν : Measure G\ninst✝⁴ : SigmaFinite ν\ninst✝³ : SigmaFinite μ\ns : Set G\ninst✝² : MeasurableInv G\ninst✝¹ : IsMulRightInvariant μ\ninst✝ : IsMulRightInvariant ν\n⊢ (fun z => (z.fst * z.snd, z... | [
429,
77
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
424,
1
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Mathlib/Analysis/Asymptotics/Asymptotics.lean | Filter.IsBoundedUnder.isBigO_const | [] | [
1372,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1370,
1
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Mathlib/Data/List/Sublists.lean | List.sublistsLen_sublist_of_sublist | [
{
"state_after": "case zero\nα✝ : Type u\nβ : Type v\nγ : Type w\nα : Type u_1\nl₁✝ l₂✝ : List α\nh✝ : l₁✝ <+ l₂✝\nl₁ l₂ : List α\nh : l₁ <+ l₂\n⊢ sublistsLen zero l₁ <+ sublistsLen zero l₂\n\ncase succ\nα✝ : Type u\nβ : Type v\nγ : Type w\nα : Type u_1\nl₁✝ l₂✝ : List α\nh✝ : l₁✝ <+ l₂✝\nn : ℕ\nIHn : ∀ {l₁ l₂ ... | [
306,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
298,
1
] |
Mathlib/Data/Real/EReal.lean | EReal.mul_bot_of_pos | [] | [
963,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
960,
1
] |
Mathlib/Topology/Bornology/Basic.lean | Bornology.isBounded_biUnion_finset | [] | [
291,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
289,
1
] |
Mathlib/Data/PFunctor/Multivariate/W.lean | MvPFunctor.wDest'_wMk' | [
{
"state_after": "case mk\nn : ℕ\nP : MvPFunctor (n + 1)\nα : TypeVec n\na : P.A\nf : B P a ⟹ α ::: W P α\n⊢ wDest' P (wMk' P { fst := a, snd := f }) = { fst := a, snd := f }",
"state_before": "n : ℕ\nP : MvPFunctor (n + 1)\nα : TypeVec n\nx : Obj P (α ::: W P α)\n⊢ wDest' P (wMk' P x) = x",
"tactic": "... | [
315,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
314,
1
] |
Mathlib/Data/Fintype/Card.lean | set_fintype_card_eq_univ_iff | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.47280\nγ : Type ?u.47283\ninst✝¹ : Fintype α\ns : Set α\ninst✝ : Fintype ↑s\n⊢ Fintype.card ↑s = Fintype.card α ↔ s = Set.univ",
"tactic": "rw [← Set.toFinset_card, Finset.card_eq_iff_eq_univ, ← Set.toFinset_univ, Set.toFinset_inj]"... | [
760,
94
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
758,
1
] |
Mathlib/Order/Basic.lean | lt_self_iff_false | [] | [
171,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
170,
1
] |
Mathlib/Topology/UniformSpace/Completion.lean | UniformSpace.Completion.map_unique | [] | [
604,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
602,
1
] |
Mathlib/Order/Filter/AtTopBot.lean | Filter.tendsto_const_mul_atBot_iff | [
{
"state_after": "no goals",
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1138,
87
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1136,
1
] |
Mathlib/Data/Complex/Basic.lean | Complex.normSq_add | [
{
"state_after": "z w : ℂ\n⊢ (z.re + w.re) * (z.re + w.re) + (z.im + w.im) * (z.im + w.im) =\n z.re * z.re + z.im * z.im + (w.re * w.re + w.im * w.im) + 2 * (z.re * w.re - z.im * -w.im)",
"state_before": "z w : ℂ\n⊢ ↑normSq (z + w) = ↑normSq z + ↑normSq w + 2 * (z * ↑(starRingEnd ℂ) w).re",
"tactic":... | [
660,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
659,
1
] |
Mathlib/Algebra/Tropical/Basic.lean | Tropical.trop_min | [] | [
279,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
278,
1
] |
Mathlib/Algebra/Hom/GroupAction.lean | DistribMulActionHom.toAddMonoidHom_injective | [
{
"state_after": "case a\nM' : Type ?u.120188\nX : Type ?u.120191\ninst✝²³ : SMul M' X\nY : Type ?u.120198\ninst✝²² : SMul M' Y\nZ : Type ?u.120205\ninst✝²¹ : SMul M' Z\nM : Type u_1\ninst✝²⁰ : Monoid M\nA : Type u_2\ninst✝¹⁹ : AddMonoid A\ninst✝¹⁸ : DistribMulAction M A\nA' : Type ?u.120246\ninst✝¹⁷ : AddGroup... | [
301,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
299,
1
] |
Mathlib/FieldTheory/PerfectClosure.lean | PerfectClosure.mk_zero_zero | [] | [
311,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
310,
1
] |
Mathlib/Order/Filter/Pointwise.lean | Filter.map_smul | [] | [
1180,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1179,
1
] |
Mathlib/Topology/Algebra/UniformGroup.lean | uniformity_eq_comap_inv_mul_nhds_one_swapped | [
{
"state_after": "α : Type u_1\nβ : Type ?u.171854\ninst✝² : UniformSpace α\ninst✝¹ : Group α\ninst✝ : UniformGroup α\n⊢ comap ((fun x => x.fst⁻¹ * x.snd) ∘ Prod.swap) (𝓝 1) = comap (fun x => x.snd⁻¹ * x.fst) (𝓝 1)",
"state_before": "α : Type u_1\nβ : Type ?u.171854\ninst✝² : UniformSpace α\ninst✝¹ : Grou... | [
332,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
329,
1
] |
Mathlib/Init/Algebra/Order.lean | gt_trans | [] | [
102,
87
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
102,
1
] |
Mathlib/Data/Finset/Basic.lean | Finset.sdiff_nonempty | [] | [
2167,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2166,
1
] |
Mathlib/Analysis/NormedSpace/BoundedLinearMaps.lean | ContinuousLinearMap.map_smulₛₗ₂ | [
{
"state_after": "no goals",
"state_before": "𝕜 : Type u_6\ninst✝¹⁶ : NontriviallyNormedField 𝕜\nE : Type ?u.164734\ninst✝¹⁵ : NormedAddCommGroup E\ninst✝¹⁴ : NormedSpace 𝕜 E\nF : Type u_5\ninst✝¹³ : NormedAddCommGroup F\ninst✝¹² : NormedSpace 𝕜 F\nG : Type ?u.164919\ninst✝¹¹ : NormedAddCommGroup G\nins... | [
305,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
304,
1
] |
Mathlib/RingTheory/Polynomial/Content.lean | Polynomial.content_primPart | [] | [
276,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
275,
1
] |
Mathlib/Data/Finset/Pointwise.lean | Finset.Nonempty.div | [] | [
601,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
600,
1
] |
Mathlib/Combinatorics/Pigeonhole.lean | Finset.exists_le_sum_fiber_of_maps_to_of_nsmul_le_sum | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nM : Type w\ninst✝¹ : DecidableEq β\ns : Finset α\nt : Finset β\nf : α → β\nw : α → M\nb : M\nn : ℕ\ninst✝ : LinearOrderedCancelAddCommMonoid M\nhf : ∀ (a : α), a ∈ s → f a ∈ t\nht : Finset.Nonempty t\nhb : card t • b ≤ ∑ x in s, w x\n⊢ ∑ ... | [
171,
83
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
169,
1
] |
Mathlib/Topology/MetricSpace/Lipschitz.lean | LipschitzOnWith.iff_le_add_mul | [] | [
573,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
571,
11
] |
Mathlib/CategoryTheory/Limits/Shapes/Types.lean | CategoryTheory.Limits.Types.binaryProductCone_snd | [] | [
130,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
129,
1
] |
Mathlib/LinearAlgebra/Matrix/BilinearForm.lean | Matrix.Nondegenerate.toBilin | [] | [
565,
76
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
563,
1
] |
Mathlib/Order/WithBot.lean | WithBot.lt_coe_iff | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.19934\nγ : Type ?u.19937\nδ : Type ?u.19940\na b✝ : α\ninst✝ : LT α\nb : α\n⊢ Option.some b < ↑b✝ ↔ ∀ (a : WithBot α), Option.some b = a → a < ↑b✝",
"tactic": "simp [some_eq_coe, coe_eq_coe, coe_lt_coe]"
},
{
"state_after": ... | [
290,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
288,
1
] |
Mathlib/Combinatorics/DoubleCounting.lean | Finset.card_mul_eq_card_mul | [] | [
111,
78
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
107,
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Mathlib/CategoryTheory/Products/Basic.lean | CategoryTheory.Functor.diag_map | [] | [
277,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
276,
1
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Mathlib/LinearAlgebra/Contraction.lean | rTensorHomEquivHomRTensor_toLinearMap | [
{
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285,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
274,
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src/lean/Init/SimpLemmas.lean | false_and | [] | [
86,
77
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
86,
9
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