file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
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Mathlib/Analysis/MeanInequalities.lean | NNReal.geom_mean_le_arith_mean4_weighted | [
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Mathlib/Analysis/SpecialFunctions/Pow/Continuity.lean | Continuous.cpow | [] | [
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Mathlib/Algebra/Quaternion.lean | QuaternionAlgebra.im_re | [] | [
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Mathlib/Algebra/Order/Module.lean | antitone_smul_left | [] | [
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Mathlib/RingTheory/AlgebraicIndependent.lean | exists_maximal_algebraicIndependent | [
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Mathlib/Topology/MetricSpace/EMetricSpace.lean | EMetric.diam_mono | [] | [
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Mathlib/Order/Directed.lean | exists_le_le | [] | [
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Mathlib/CategoryTheory/Monoidal/Subcategory.lean | CategoryTheory.MonoidalCategory.fullMonoidalClosedSubcategory_ihom_map | [] | [
244,
6
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Mathlib/MeasureTheory/Function/SimpleFuncDenseLp.lean | MeasureTheory.Lp.simpleFunc.denseRange_coeSimpleFuncNonnegToLpNonneg | [
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Mathlib/Analysis/Calculus/Deriv/Mul.lean | HasDerivAt.mul_const | [
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Mathlib/Algebra/Lie/Submodule.lean | LieSubmodule.coe_toSubmodule | [] | [
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Mathlib/Data/Set/Intervals/Basic.lean | Set.Ici_inter_Iio | [] | [
627,
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Mathlib/Analysis/LocallyConvex/WithSeminorms.lean | SeminormFamily.basisSets_neg | [
{
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137,
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Mathlib/Data/Int/Bitwise.lean | Int.shiftr_add | [
{
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{
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403,
89
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Mathlib/Data/Nat/Basic.lean | Nat.lt_iff_add_one_le | [
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Mathlib/Data/Finset/LocallyFinite.lean | Finset.image_add_right_Icc | [
{
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"state_before": "ι : Type ?u.245092\nα : Type ... | [
1125,
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Mathlib/Algebra/Order/EuclideanAbsoluteValue.lean | AbsoluteValue.abs_isEuclidean | [
{
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Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometryEquiv.toLinearEquiv_inj | [] | [
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Mathlib/Analysis/Calculus/Deriv/Polynomial.lean | Polynomial.differentiable_aeval | [] | [
124,
27
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123,
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Mathlib/Topology/MetricSpace/Isometry.lean | isometry_dcomp | [
{
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Mathlib/Analysis/Normed/Group/Basic.lean | pi_norm_le_iff_of_nonneg' | [
{
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Mathlib/Algebra/Ring/BooleanRing.lean | ofBoolAlg_bot | [] | [
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Mathlib/Data/Fin/Tuple/Basic.lean | Fin.forall_fin_zero_pi | [] | [
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Mathlib/SetTheory/Ordinal/Arithmetic.lean | Cardinal.add_one_of_aleph0_le | [
{
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"tactic": "rw [add_comm, ← card_ord c, ← card_one, ← card_add, one_add_of_omega_le]"
},
{
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Mathlib/Analysis/NormedSpace/LpEquiv.lean | coe_algEquiv_lpBcf | [] | [
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Mathlib/Algebra/Algebra/Subalgebra/Basic.lean | AlgHom.range_comp | [] | [
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Mathlib/Topology/ContinuousFunction/Bounded.lean | BoundedContinuousFunction.bounded | [] | [
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Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.IsBigOWith.prod_left_same | [
{
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Mathlib/Data/Multiset/Basic.lean | Multiset.filter_cons | [
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Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.IsBigOWith.sup | [] | [
633,
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Mathlib/Data/Set/Basic.lean | Set.ssubset_insert | [] | [
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.restrict_apply_self | [] | [
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Mathlib/Order/Filter/FilterProduct.lean | Filter.Germ.abs_def | [] | [
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Mathlib/Logic/Function/Basic.lean | Function.update_eq_self | [] | [
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Mathlib/Topology/SubsetProperties.lean | Filter.cocompact_eq_bot | [] | [
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Mathlib/RingTheory/IntegralClosure.lean | integralClosure.isIntegral | [
{
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Mathlib/CategoryTheory/MorphismProperty.lean | CategoryTheory.MorphismProperty.surjective_respectsIso | [] | [
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Mathlib/FieldTheory/Subfield.lean | RingHom.field_closure_preimage_le | [] | [
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Mathlib/Algebra/Order/Field/Basic.lean | div_nonneg | [
{
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Std/Data/Array/Lemmas.lean | Array.size_reverse | [
{
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Mathlib/MeasureTheory/Function/ConvergenceInMeasure.lean | MeasureTheory.ExistsSeqTendstoAe.seqTendstoAeSeq_spec | [
{
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182,
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Std/Data/Nat/Lemmas.lean | Nat.add_mod_left | [
{
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}
] | [
494,
35
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Mathlib/CategoryTheory/Bicategory/NaturalTransformation.lean | CategoryTheory.OplaxNatTrans.whiskerLeft_naturality_comp | [
{
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Mathlib/Data/Finset/Lattice.lean | Finset.inf_mono_fun | [] | [
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413,
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Mathlib/Order/OmegaCompletePartialOrder.lean | CompleteLattice.inf_continuous | [
{
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Mathlib/RingTheory/Subring/Basic.lean | Subring.center.coe_div | [] | [
838,
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Mathlib/GroupTheory/SemidirectProduct.lean | SemidirectProduct.inl_aut | [
{
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}
] | [
162,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
161,
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Mathlib/Logic/Equiv/Set.lean | Equiv.preimage_subset | [] | [
118,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
117,
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src/lean/Init/Prelude.lean | Nat.lt_trans | [] | [
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] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
1596,
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Mathlib/RingTheory/Localization/AtPrime.lean | Localization.AtPrime.map_eq_maximalIdeal | [
{
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204,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
197,
1
] |
Mathlib/SetTheory/Cardinal/Finite.lean | PartENat.card_eq_top_of_infinite | [] | [
149,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
148,
1
] |
Mathlib/Data/PNat/Basic.lean | Nat.succPNat_injective | [] | [
99,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
98,
1
] |
Mathlib/SetTheory/Cardinal/Ordinal.lean | Cardinal.powerlt_aleph0_le | [
{
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"state_before": "c : Cardinal\n⊢ c ^< ℵ₀ ≤ max c ℵ₀",
"tactic": "cases' le_or_lt ℵ₀ c with h h"
},
{
"state_after": "case inr\nc : Cardinal\nh : c < ℵ₀\n⊢ ∀ (x... | [
986,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
981,
1
] |
Mathlib/MeasureTheory/Integral/IntegralEqImproper.lean | MeasureTheory.aecover_Icc_of_Ioo | [] | [
274,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
272,
1
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Mathlib/Data/Bool/Basic.lean | Bool.apply_apply_apply | [
{
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"tactic": "cases x <;> cases h₁ : f true <;> cases h₂ : f false <;> simp only [h₁, h₂]"
}
] | [
412,
78
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
411,
1
] |
Std/Data/Int/DivMod.lean | Int.negSucc_ediv | [] | [
29,
23
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
27,
1
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Mathlib/Topology/Support.lean | HasCompactMulSupport.mono' | [] | [
191,
92
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
189,
1
] |
Mathlib/Analysis/Calculus/ContDiff.lean | ContDiffAt.hasStrictFDerivAt' | [
{
"state_after": "case intro.intro.intro\n𝕜 : Type ?u.2872501\ninst✝¹⁵ : NontriviallyNormedField 𝕜\nD : Type uD\ninst✝¹⁴ : NormedAddCommGroup D\ninst✝¹³ : NormedSpace 𝕜 D\nE : Type uE\ninst✝¹² : NormedAddCommGroup E\ninst✝¹¹ : NormedSpace 𝕜 E\nF : Type uF\ninst✝¹⁰ : NormedAddCommGroup F\ninst✝⁹ : NormedSpac... | [
1954,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1948,
1
] |
Mathlib/Algebra/Lie/Submodule.lean | LieModuleHom.coe_range | [] | [
1212,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1211,
1
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Mathlib/Combinatorics/Additive/Behrend.lean | Behrend.nValue_pos | [] | [
383,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
382,
1
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Mathlib/Topology/MetricSpace/Basic.lean | TotallyBounded.bounded | [] | [
2397,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2393,
1
] |
Mathlib/LinearAlgebra/Matrix/SesquilinearForm.lean | LinearMap.separatingLeft_toLinearMap₂'_of_det_ne_zero' | [] | [
750,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
748,
1
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Mathlib/Topology/Algebra/UniformGroup.lean | uniformGroup_comap | [
{
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255,
96
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
247,
1
] |
Mathlib/Topology/MetricSpace/Polish.lean | IsClosed.isClopenable | [
{
"state_after": "α : Type u_1\nβ : Type ?u.35108\ninst✝¹ : TopologicalSpace α\ninst✝ : PolishSpace α\ns : Set α\nhs : IsClosed s\nthis : PolishSpace ↑s\n⊢ IsClopenable s",
"state_before": "α : Type u_1\nβ : Type ?u.35108\ninst✝¹ : TopologicalSpace α\ninst✝ : PolishSpace α\ns : Set α\nhs : IsClosed s\n⊢ IsC... | [
397,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
379,
1
] |
Mathlib/RingTheory/PowerSeries/Basic.lean | Polynomial.coe_inj | [] | [
2620,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2619,
1
] |
Mathlib/Topology/Compactification/OnePoint.lean | OnePoint.isOpen_compl_image_coe | [
{
"state_after": "X : Type u_1\ninst✝ : TopologicalSpace X\ns✝ : Set (OnePoint X)\nt s : Set X\n⊢ ∞ ∈ (some '' s)ᶜ",
"state_before": "X : Type u_1\ninst✝ : TopologicalSpace X\ns✝ : Set (OnePoint X)\nt s : Set X\n⊢ IsOpen ((some '' s)ᶜ) ↔ IsClosed s ∧ IsCompact s",
"tactic": "rw [isOpen_iff_of_mem, ← pre... | [
246,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
243,
1
] |
Mathlib/Computability/Partrec.lean | Partrec.some | [] | [
445,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
444,
11
] |
Mathlib/RingTheory/JacobsonIdeal.lean | Ideal.eq_jacobson_iff_sInf_maximal | [
{
"state_after": "R : Type u\nS : Type v\ninst✝¹ : Ring R\ninst✝ : Ring S\nI : Ideal R\n⊢ (∃ M, (∀ (J : Ideal R), J ∈ M → IsMaximal J ∨ J = ⊤) ∧ I = sInf M) → jacobson I = I",
"state_before": "R : Type u\nS : Type v\ninst✝¹ : Ring R\ninst✝ : Ring S\nI : Ideal R\n⊢ jacobson I = I ↔ ∃ M, (∀ (J : Ideal R), J ∈... | [
145,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
136,
1
] |
Mathlib/Data/QPF/Multivariate/Basic.lean | MvQPF.liftP_iff_of_isUniform | [
{
"state_after": "n : ℕ\nF : TypeVec n → Type u_1\ninst✝ : MvFunctor F\nq : MvQPF F\nh : IsUniform\nα : TypeVec n\nx : F α\np : (i : Fin2 n) → α i → Prop\n⊢ (∃ a f, abs (repr x) = abs { fst := a, snd := f } ∧ ∀ (i : Fin2 n) (j : MvPFunctor.B (P F) a i), p i (f i j)) ↔\n ∀ (i : Fin2 n) (u : α i), u ∈ supp (ab... | [
251,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
239,
1
] |
Mathlib/Order/Filter/NAry.lean | Filter.map₂_map_right | [
{
"state_after": "no goals",
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276,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
274,
1
] |
Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.lift_eq_zero | [] | [
384,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
383,
1
] |
Mathlib/MeasureTheory/Constructions/Prod/Basic.lean | MeasureTheory.Measure.prod_restrict | [
{
"state_after": "α : Type u_1\nα' : Type ?u.4487971\nβ : Type u_2\nβ' : Type ?u.4487977\nγ : Type ?u.4487980\nE : Type ?u.4487983\ninst✝⁷ : MeasurableSpace α\ninst✝⁶ : MeasurableSpace α'\ninst✝⁵ : MeasurableSpace β\ninst✝⁴ : MeasurableSpace β'\ninst✝³ : MeasurableSpace γ\nμ μ' : Measure α\nν ν' : Measure β\nτ ... | [
546,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
542,
1
] |
Mathlib/Init/Algebra/Classes.lean | refl_of | [] | [
296,
9
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
295,
1
] |
Mathlib/Data/Set/Lattice.lean | Set.iUnion_subset | [] | [
285,
12
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
284,
1
] |
Mathlib/MeasureTheory/Constructions/BorelSpace/Metrizable.lean | aemeasurable_of_unif_approx | [
{
"state_after": "case intro.intro.intro\nα : Type u_2\nβ✝ : Type ?u.222445\ninst✝⁷ : MeasurableSpace α\ninst✝⁶ : TopologicalSpace β✝\ninst✝⁵ : PseudoMetrizableSpace β✝\ninst✝⁴ : MeasurableSpace β✝\ninst✝³ : BorelSpace β✝\nβ : Type u_1\ninst✝² : MeasurableSpace β\ninst✝¹ : PseudoMetricSpace β\ninst✝ : BorelSpac... | [
140,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
126,
1
] |
Mathlib/Data/Finsupp/Basic.lean | Finsupp.mapDomain.addMonoidHom_comp_mapRange | [
{
"state_after": "case H\nα : Type u_3\nβ : Type u_4\nγ : Type ?u.264863\nι : Type ?u.264866\nM : Type u_2\nM' : Type ?u.264872\nN : Type u_1\nP : Type ?u.264878\nG : Type ?u.264881\nH : Type ?u.264884\nR : Type ?u.264887\nS : Type ?u.264890\ninst✝¹ : AddCommMonoid M\nv v₁ v₂ : α →₀ M\ninst✝ : AddCommMonoid N\n... | [
639,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
628,
1
] |
Mathlib/Data/Rat/Cast.lean | Rat.cast_bit1 | [
{
"state_after": "F : Type ?u.48517\nι : Type ?u.48520\nα : Type u_1\nβ : Type ?u.48526\ninst✝¹ : DivisionRing α\ninst✝ : CharZero α\nn : ℚ\n⊢ bit0 ↑n + 1 = bit1 ↑n",
"state_before": "F : Type ?u.48517\nι : Type ?u.48520\nα : Type u_1\nβ : Type ?u.48526\ninst✝¹ : DivisionRing α\ninst✝ : CharZero α\nn : ℚ\n⊢... | [
244,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
243,
1
] |
Std/Data/Array/Lemmas.lean | Array.mapM_eq_mapM_data | [
{
"state_after": "m : Type u_1 → Type u_2\nα : Type u_3\nβ : Type u_1\ninst✝¹ : Monad m\ninst✝ : LawfulMonad m\nf : α → m β\narr : Array α\n⊢ List.foldrM\n (fun a bs => do\n let b ← f a\n pure (push bs b))\n #[] (List.reverse arr.data) =\n do\n let __do_lift ← List.mapM f arr.data\... | [
169,
42
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
163,
1
] |
Mathlib/Data/List/Perm.lean | List.perm_option_to_list | [
{
"state_after": "α : Type uu\nβ : Type vv\nl₁ l₂ : List α\no₁ o₂ : Option α\np : Option.toList o₁ ~ Option.toList o₂\n⊢ o₁ = o₂",
"state_before": "α : Type uu\nβ : Type vv\nl₁ l₂ : List α\no₁ o₂ : Option α\n⊢ Option.toList o₁ ~ Option.toList o₂ ↔ o₁ = o₂",
"tactic": "refine' ⟨fun p => _, fun e => e ▸ P... | [
668,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
663,
1
] |
Mathlib/RingTheory/AdjoinRoot.lean | AdjoinRoot.eval₂_root | [
{
"state_after": "no goals",
"state_before": "R : Type u\nS : Type v\nK : Type w\ninst✝ : CommRing R\nf✝ f : R[X]\n⊢ eval₂ (of f) (root f) f = 0",
"tactic": "rw [← algebraMap_eq, ← aeval_def, aeval_eq, mk_self]"
}
] | [
248,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
247,
1
] |
Mathlib/Data/Ordmap/Ordset.lean | Ordnode.all_balance' | [
{
"state_after": "α : Type u_1\nP : α → Prop\nl : Ordnode α\nx : α\nr : Ordnode α\n⊢ All P\n (if size l + size r ≤ 1 then node' l x r\n else\n if size r > delta * size l then rotateL l x r\n else if size l > delta * size r then rotateR l x r else node' l x r) ↔\n All P l ∧ P x ∧ All P... | [
527,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
526,
1
] |
Mathlib/Algebra/Free.lean | FreeMagma.pure_seq | [] | [
193,
94
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
193,
1
] |
Mathlib/CategoryTheory/Products/Basic.lean | CategoryTheory.isIso_prod_iff | [
{
"state_after": "case mp\nC : Type u₁\ninst✝¹ : Category C\nD : Type u₂\ninst✝ : Category D\nP Q : C\nS T : D\nf : (P, S) ⟶ (Q, T)\n⊢ IsIso f → IsIso f.fst ∧ IsIso f.snd\n\ncase mpr\nC : Type u₁\ninst✝¹ : Category C\nD : Type u₂\ninst✝ : Category D\nP Q : C\nS T : D\nf : (P, S) ⟶ (Q, T)\n⊢ IsIso f.fst ∧ IsIso ... | [
78,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
67,
1
] |
Mathlib/Topology/Bases.lean | TopologicalSpace.separableSpace_of_denseRange | [] | [
350,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
348,
1
] |
Mathlib/Analysis/NormedSpace/lpSpace.lean | memℓp_gen | [
{
"state_after": "case inl\nα : Type u_1\nE : α → Type u_2\nq : ℝ≥0∞\ninst✝ : (i : α) → NormedAddCommGroup (E i)\nf : (i : α) → E i\nhf : Summable fun i => ‖f i‖ ^ ENNReal.toReal 0\n⊢ Memℓp f 0\n\ncase inr.inl\nα : Type u_1\nE : α → Type u_2\nq : ℝ≥0∞\ninst✝ : (i : α) → NormedAddCommGroup (E i)\nf : (i : α) → E... | [
119,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
111,
1
] |
Mathlib/Analysis/NormedSpace/OperatorNorm.lean | ContinuousLinearEquiv.isBigO_comp_rev | [] | [
1334,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1333,
1
] |
Mathlib/Analysis/Calculus/ContDiffDef.lean | contDiffWithinAt_inter' | [] | [
508,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
506,
1
] |
Mathlib/Topology/MetricSpace/Lipschitz.lean | LipschitzWith.dist | [
{
"state_after": "α : Type u\nβ : Type v\nγ : Type w\nι : Type x\ninst✝² : PseudoMetricSpace α\ninst✝¹ : PseudoMetricSpace β\ninst✝ : PseudoMetricSpace γ\nK : ℝ≥0\nf : α → β\nx y : α\nr : ℝ\n⊢ LipschitzWith (1 + 1) (uncurry dist)",
"state_before": "α : Type u\nβ : Type v\nγ : Type w\nι : Type x\ninst✝² : Ps... | [
416,
79
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
414,
11
] |
Mathlib/Data/Num/Lemmas.lean | Num.div_to_nat | [
{
"state_after": "no goals",
"state_before": "⊢ ↑(0 / 0) = ↑0 / ↑0",
"tactic": "simp"
}
] | [
1655,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1651,
1
] |
Mathlib/Topology/Separation.lean | disjoint_pure_nhds | [] | [
524,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
523,
1
] |
Mathlib/Data/Seq/Seq.lean | Stream'.Seq.map_cons | [
{
"state_after": "case a\nα : Type u\nβ : Type v\nγ : Type w\nf : α → β\na : α\ns : Stream' (Option α)\nal : IsSeq s\n⊢ ↑(map f (cons a { val := s, property := al })) = ↑(cons (f a) (map f { val := s, property := al }))",
"state_before": "α : Type u\nβ : Type v\nγ : Type w\nf : α → β\na : α\ns : Stream' (Op... | [
700,
85
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
699,
1
] |
Mathlib/Order/CompleteLattice.lean | isLUB_biSup | [
{
"state_after": "no goals",
"state_before": "α : Type u_2\nβ : Type u_1\nβ₂ : Type ?u.163838\nγ : Type ?u.163841\nι : Sort ?u.163844\nι' : Sort ?u.163847\nκ : ι → Sort ?u.163852\nκ' : ι' → Sort ?u.163857\ninst✝ : CompleteLattice α\nf✝ g s✝ t : ι → α\na b : α\ns : Set β\nf : β → α\n⊢ IsLUB (f '' s) (⨆ (x : ... | [
1537,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1535,
1
] |
Mathlib/Algebra/Hom/Group.lean | MonoidWithZeroHom.ext_iff | [] | [
772,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
771,
1
] |
src/lean/Init/Control/StateCps.lean | StateCpsT.runK_bind_get | [] | [
69,
152
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
69,
9
] |
Mathlib/RingTheory/AdjoinRoot.lean | AdjoinRoot.coe_liftHom | [] | [
314,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
312,
1
] |
Mathlib/Analysis/SpecialFunctions/Pow/Deriv.lean | HasStrictFDerivAt.const_cpow | [] | [
90,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
88,
1
] |
Mathlib/Topology/Order/Basic.lean | exists_seq_strictAnti_strictMono_tendsto | [
{
"state_after": "case intro.intro.intro\nα : Type u\nβ : Type v\nγ : Type w\ninst✝⁷ : TopologicalSpace α\ninst✝⁶ : TopologicalSpace β\ninst✝⁵ : LinearOrder α\ninst✝⁴ : LinearOrder β\ninst✝³ : OrderTopology α\ninst✝² : OrderTopology β\ninst✝¹ : DenselyOrdered α\ninst✝ : FirstCountableTopology α\nx y : α\nh : x ... | [
2196,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2188,
1
] |
Mathlib/MeasureTheory/MeasurableSpace.lean | MeasurableEmbedding.measurableSet_range | [
{
"state_after": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.380657\nδ : Type ?u.380660\nδ' : Type ?u.380663\nι : Sort uι\ns t u : Set α\nmα : MeasurableSpace α\ninst✝¹ : MeasurableSpace β\ninst✝ : MeasurableSpace γ\nf : α → β\ng : β → γ\nhf : MeasurableEmbedding f\n⊢ MeasurableSet (f '' univ)",
"state_before"... | [
1105,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1103,
1
] |
Mathlib/Init/Data/Nat/Bitwise.lean | Nat.bit1_val | [] | [
161,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
160,
1
] |
Mathlib/CategoryTheory/Idempotents/FunctorExtension.lean | CategoryTheory.Idempotents.natTrans_eq | [
{
"state_after": "C : Type u_3\nD : Type u_4\nE : Type ?u.29\ninst✝² : Category C\ninst✝¹ : Category D\ninst✝ : Category E\nF G : Karoubi C ⥤ D\nφ : F ⟶ G\nP : Karoubi C\n⊢ φ.app P = F.map (decompId_i P ≫ decompId_p P) ≫ φ.app P",
"state_before": "C : Type u_3\nD : Type u_4\nE : Type ?u.29\ninst✝² : Categor... | [
54,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
47,
1
] |
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