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start
list
Mathlib/NumberTheory/SumFourSquares.lean
Nat.sum_four_squares
[ { "state_after": "no goals", "state_before": "n : ℕ\n⊢ ∃ a b c d, a ^ 2 + b ^ 2 + c ^ 2 + d ^ 2 = n", "tactic": "induction n using Nat.recOnMul with\n| h0 => exact ⟨0, 0, 0, 0, rfl⟩\n| h1 => exact ⟨1, 0, 0, 0, rfl⟩\n| hp p hp => exact hp.sum_four_squares\n| h m n hm hn =>\n rcases hm with ⟨a, b, c, d, ...
[ 239, 59 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 229, 1 ]
Mathlib/Data/Nat/Cast/Basic.lean
map_natCast'
[ { "state_after": "no goals", "state_before": "α : Type ?u.41556\nβ : Type ?u.41559\nA✝ : Type ?u.41562\nB : Type u_3\nF : Type u_2\ninst✝³ : AddMonoidWithOne B\ninst✝² : AddMonoidWithOne A✝\nA : Type u_1\ninst✝¹ : AddMonoidWithOne A\ninst✝ : AddMonoidHomClass F A B\nf : F\nh : ↑f 1 = 1\n⊢ ↑f ↑0 = ↑0", "...
[ 228, 96 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 224, 1 ]
Mathlib/Algebra/GCDMonoid/Basic.lean
Associates.normalize_out
[]
[ 255, 40 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 253, 1 ]
Mathlib/RingTheory/Ideal/Operations.lean
Submodule.mem_annihilator_span_singleton
[ { "state_after": "no goals", "state_before": "R : Type u\nM : Type v\nF : Type ?u.20043\nG : Type ?u.20046\ninst✝² : CommSemiring R\ninst✝¹ : AddCommMonoid M\ninst✝ : Module R M\nI J : Ideal R\nN P : Submodule R M\ng : M\nr : R\n⊢ r ∈ annihilator (span R {g}) ↔ r • g = 0", "tactic": "simp [mem_annihilat...
[ 81, 99 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 80, 1 ]
Mathlib/Data/Num/Lemmas.lean
PosNum.cast_one
[]
[ 40, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 39, 1 ]
Mathlib/Analysis/NormedSpace/CompactOperator.lean
isCompactOperator_iff_exists_mem_nhds_isCompact_closure_image
[ { "state_after": "R₁ : Type ?u.2937\nR₂ : Type ?u.2940\ninst✝⁵ : Semiring R₁\ninst✝⁴ : Semiring R₂\nσ₁₂ : R₁ →+* R₂\nM₁ : Type u_2\nM₂ : Type u_1\ninst✝³ : TopologicalSpace M₁\ninst✝² : AddCommMonoid M₁\ninst✝¹ : TopologicalSpace M₂\ninst✝ : T2Space M₂\nf : M₁ → M₂\n⊢ (∃ V, V ∈ 𝓝 0 ∧ ∃ K, IsCompact K ∧ f '' V ...
[ 92, 74 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 87, 1 ]
Mathlib/MeasureTheory/Measure/Haar/OfBasis.lean
parallelepiped_comp_equiv
[ { "state_after": "ι : Type u_2\nι' : Type u_1\nE : Type u_3\nF : Type ?u.30696\ninst✝⁵ : Fintype ι\ninst✝⁴ : Fintype ι'\ninst✝³ : AddCommGroup E\ninst✝² : Module ℝ E\ninst✝¹ : AddCommGroup F\ninst✝ : Module ℝ F\nv : ι → E\ne : ι' ≃ ι\n⊢ (fun a => ∑ x : ι', a x • (v ∘ ↑e) x) '' Icc 0 1 = (fun t => ∑ i : ι, t i •...
[ 84, 36 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 65, 1 ]
Mathlib/Data/Int/GCD.lean
Int.gcd_greatest
[]
[ 405, 50 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 402, 1 ]
Mathlib/NumberTheory/Zsqrtd/Basic.lean
Zsqrtd.mul_re
[]
[ 174, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 173, 1 ]
Mathlib/CategoryTheory/Arrow.lean
CategoryTheory.Arrow.id_right
[]
[ 67, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 66, 1 ]
Mathlib/FieldTheory/RatFunc.lean
RatFunc.liftRingHom_apply
[]
[ 1360, 37 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1358, 1 ]
Mathlib/Analysis/SpecialFunctions/Trigonometric/Deriv.lean
DifferentiableOn.ccos
[]
[ 331, 82 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 330, 1 ]
Mathlib/Topology/Support.lean
tsupport_mul_subset_right
[]
[ 97, 46 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 95, 1 ]
Mathlib/Order/SuccPred/Limit.lean
Order.not_isSuccLimit
[ { "state_after": "no goals", "state_before": "α : Type u_1\ninst✝³ : PartialOrder α\ninst✝² : SuccOrder α\na b : α\nC : α → Sort ?u.10097\ninst✝¹ : IsSuccArchimedean α\ninst✝ : NoMinOrder α\n⊢ ¬IsSuccLimit a", "tactic": "simp" } ]
[ 229, 67 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 229, 1 ]
Mathlib/NumberTheory/ArithmeticFunction.lean
Nat.ArithmeticFunction.IsMultiplicative.pmul
[ { "state_after": "no goals", "state_before": "R : Type u_1\ninst✝ : CommSemiring R\nf g : ArithmeticFunction R\nhf : IsMultiplicative f\nhg : IsMultiplicative g\n⊢ ↑(ArithmeticFunction.pmul f g) 1 = 1", "tactic": "simp [hf, hg]" }, { "state_after": "R : Type u_1\ninst✝ : CommSemiring R\nf g : Ar...
[ 698, 10 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 694, 1 ]
Mathlib/GroupTheory/Coset.lean
mem_leftCoset_iff
[ { "state_after": "no goals", "state_before": "α : Type u_1\ninst✝ : Group α\ns : Set α\nx a : α\nx✝ : x ∈ a *l s\nb : α\nhb : b ∈ s\nEq : (fun x => a * x) b = x\n⊢ a⁻¹ * x ∈ s", "tactic": "simp [Eq.symm, hb]" }, { "state_after": "no goals", "state_before": "α : Type u_1\ninst✝ : Group α\ns :...
[ 204, 86 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 203, 1 ]
Mathlib/CategoryTheory/Limits/Shapes/Pullbacks.lean
CategoryTheory.Limits.hasPullback_symmetry
[]
[ 1509, 61 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1507, 1 ]
Mathlib/Order/Filter/AtTopBot.lean
Filter.tendsto_atTop_of_add_bdd_above_right'
[]
[ 740, 77 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 737, 1 ]
Mathlib/Data/Multiset/Lattice.lean
Multiset.nodup_sup_iff
[ { "state_after": "case empty\nα✝ : Type ?u.22553\ninst✝³ : SemilatticeSup α✝\ninst✝² : OrderBot α✝\ninst✝¹ : DecidableEq α✝\nα : Type u_1\ninst✝ : DecidableEq α\n⊢ Nodup (sup 0) ↔ ∀ (a : Multiset α), a ∈ 0 → Nodup a\n\ncase cons\nα✝ : Type ?u.22553\ninst✝³ : SemilatticeSup α✝\ninst✝² : OrderBot α✝\ninst✝¹ : Dec...
[ 102, 13 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 96, 1 ]
Mathlib/Data/Set/Finite.lean
Set.Finite.of_prod_right
[]
[ 922, 79 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 921, 1 ]
Mathlib/Data/Polynomial/RingDivision.lean
Polynomial.card_roots_X_pow_sub_C
[]
[ 767, 39 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 761, 1 ]
Mathlib/MeasureTheory/MeasurableSpace.lean
measurable_update
[ { "state_after": "α : Type ?u.103718\nβ : Type ?u.103721\nγ : Type ?u.103724\nδ : Type u_1\nδ' : Type ?u.103730\nι : Sort uι\ns t u : Set α\nπ : δ → Type u_2\ninst✝³ : MeasurableSpace α\ninst✝² : (a : δ) → MeasurableSpace (π a)\ninst✝¹ : MeasurableSpace γ\nf : (a : δ) → π a\na : δ\ninst✝ : DecidableEq δ\nx : δ\...
[ 870, 56 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 866, 1 ]
Mathlib/Logic/Basic.lean
not_forall
[]
[ 688, 23 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 687, 1 ]
Mathlib/LinearAlgebra/BilinearForm.lean
BilinForm.IsAlt.sub
[]
[ 985, 89 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 984, 11 ]
Mathlib/Topology/Order.lean
setOf_isOpen_iSup
[]
[ 955, 29 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 953, 1 ]
Mathlib/Data/Nat/Digits.lean
Nat.eleven_dvd_of_palindrome
[ { "state_after": "n : ℕ\np : List.Palindrome (digits 10 n)\nh : Even (List.length (digits 10 n))\ndig : List ℤ := List.map Coe.coe (digits 10 n)\n⊢ 11 ∣ n", "state_before": "n : ℕ\np : List.Palindrome (digits 10 n)\nh : Even (List.length (digits 10 n))\n⊢ 11 ∣ n", "tactic": "let dig := (digits 10 n).map...
[ 624, 36 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 617, 1 ]
Mathlib/LinearAlgebra/Alternating.lean
AlternatingMap.domDomCongr_eq_iff
[]
[ 781, 70 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 779, 1 ]
Mathlib/Data/Fintype/Parity.lean
Fintype.card_fin_even
[ { "state_after": "α : Type ?u.497\nn : ℕ\n⊢ Even (bit0 n)", "state_before": "α : Type ?u.497\nn : ℕ\n⊢ Even (card (Fin (bit0 n)))", "tactic": "rw [Fintype.card_fin]" }, { "state_after": "no goals", "state_before": "α : Type ?u.497\nn : ℕ\n⊢ Even (bit0 n)", "tactic": "exact even_bit0 _" ...
[ 34, 48 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 33, 1 ]
Mathlib/MeasureTheory/Function/LpSeminorm.lean
MeasureTheory.Memℒp.memℒp_of_exponent_le
[ { "state_after": "case intro\nα : Type u_1\nE : Type u_2\nF : Type ?u.5027535\nG : Type ?u.5027538\nm m0 : MeasurableSpace α\np✝ : ℝ≥0∞\nq✝ : ℝ\nμ ν : Measure α\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedAddCommGroup F\ninst✝¹ : NormedAddCommGroup G\np q : ℝ≥0∞\ninst✝ : IsFiniteMeasure μ\nf : α → E\nhpq : p...
[ 1202, 98 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1176, 1 ]
Mathlib/Deprecated/Group.lean
IsMulHom.comp
[ { "state_after": "no goals", "state_before": "α : Type u\nβ : Type v\ninst✝² : Mul α\ninst✝¹ : Mul β\nγ : Type u_1\ninst✝ : Mul γ\nf : α → β\ng : β → γ\nhf : IsMulHom f\nhg : IsMulHom g\nx y : α\n⊢ (g ∘ f) (x * y) = (g ∘ f) x * (g ∘ f) y", "tactic": "simp only [Function.comp, hf.map_mul, hg.map_mul]" ...
[ 70, 81 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 69, 1 ]
src/lean/Init/Data/Nat/Basic.lean
Nat.le.dest
[]
[ 355, 83 ]
d5348dfac847a56a4595fb6230fd0708dcb4e7e9
https://github.com/leanprover/lean4
[ 347, 1 ]
Mathlib/RingTheory/DedekindDomain/Dvr.lean
IsLocalization.AtPrime.not_isField
[ { "state_after": "R : Type ?u.41349\nA : Type u_1\nK : Type ?u.41355\ninst✝⁶ : CommRing R\ninst✝⁵ : CommRing A\ninst✝⁴ : IsDomain A\ninst✝³ : Field K\nP : Ideal A\nhP : P ≠ ⊥\npP : Ideal.IsPrime P\nAₘ : Type u_2\ninst✝² : CommRing Aₘ\ninst✝¹ : Algebra A Aₘ\ninst✝ : IsLocalization.AtPrime Aₘ P\nh : IsField Aₘ\n⊢...
[ 132, 20 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 120, 1 ]
Mathlib/Data/Complex/Basic.lean
Complex.lt_def
[]
[ 1152, 10 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1151, 1 ]
Mathlib/MeasureTheory/Measure/GiryMonad.lean
MeasureTheory.Measure.measurable_dirac
[ { "state_after": "α : Type u_1\nβ : Type ?u.3729\ninst✝¹ : MeasurableSpace α\ninst✝ : MeasurableSpace β\ns : Set α\nhs : MeasurableSet s\n⊢ Measurable fun b => ↑↑(dirac b) s", "state_before": "α : Type u_1\nβ : Type ?u.3729\ninst✝¹ : MeasurableSpace α\ninst✝ : MeasurableSpace β\n⊢ Measurable dirac", "ta...
[ 89, 36 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 86, 1 ]
Mathlib/Analysis/Convex/Integral.lean
StrictConvexOn.ae_eq_const_or_map_average_lt
[ { "state_after": "α : Type u_1\nE : Type u_2\nF : Type ?u.2189402\nm0 : MeasurableSpace α\ninst✝⁶ : NormedAddCommGroup E\ninst✝⁵ : NormedSpace ℝ E\ninst✝⁴ : CompleteSpace E\ninst✝³ : NormedAddCommGroup F\ninst✝² : NormedSpace ℝ F\ninst✝¹ : CompleteSpace F\nμ : MeasureTheory.Measure α\ns : Set E\nt : Set α\nf : ...
[ 313, 55 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 290, 1 ]
Mathlib/MeasureTheory/Constructions/Prod/Integral.lean
MeasureTheory.set_integral_prod_mul
[ { "state_after": "α : Type u_2\nα' : Type ?u.2467745\nβ : Type u_3\nβ' : Type ?u.2467751\nγ : Type ?u.2467754\nE : Type ?u.2467757\ninst✝¹³ : MeasurableSpace α\ninst✝¹² : MeasurableSpace α'\ninst✝¹¹ : MeasurableSpace β\ninst✝¹⁰ : MeasurableSpace β'\ninst✝⁹ : MeasurableSpace γ\nμ μ' : Measure α\nν ν' : Measure β...
[ 530, 75 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 525, 1 ]
Mathlib/Order/Interval.lean
Interval.dual_bot
[]
[ 400, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 399, 1 ]
Mathlib/LinearAlgebra/AffineSpace/FiniteDimensional.lean
AffineIndependent.vectorSpan_eq_top_of_card_eq_finrank_add_one
[]
[ 137, 51 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 134, 1 ]
Mathlib/MeasureTheory/Measure/NullMeasurable.lean
MeasureTheory.exists_subordinate_pairwise_disjoint
[ { "state_after": "ι : Type u_1\nα : Type u_2\nβ : Type ?u.7332\nγ : Type ?u.7335\nm0 : MeasurableSpace α\nμ : Measure α\ns✝ t✝ : Set α\ninst✝ : Countable ι\ns : ι → Set α\nh : ∀ (i : ι), NullMeasurableSet (s i)\nhd : Pairwise (AEDisjoint μ on s)\nt : ι → Set α\nht_sub : ∀ (i : ι), t i ⊆ s i\nhtm : ∀ (i : ι), Me...
[ 272, 86 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 261, 1 ]
Mathlib/Algebra/Module/Torsion.lean
Submodule.torsionBy.mk_ideal_smul
[]
[ 585, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 583, 1 ]
Mathlib/MeasureTheory/Measure/MeasureSpace.lean
MeasureTheory.Measure.map_map
[ { "state_after": "no goals", "state_before": "α : Type u_3\nβ : Type u_1\nγ : Type u_2\nδ : Type ?u.214987\nι : Type ?u.214990\nR : Type ?u.214993\nR' : Type ?u.214996\nm0 : MeasurableSpace α\ninst✝¹ : MeasurableSpace β\ninst✝ : MeasurableSpace γ\nμ μ₁ μ₂ μ₃ ν ν' ν₁ ν₂ : Measure α\ns✝ s' t : Set α\ng : β → ...
[ 1253, 75 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1251, 1 ]
Mathlib/Algebra/Ring/BooleanRing.lean
ofBoolRing_le_ofBoolRing_iff
[]
[ 528, 19 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 526, 1 ]
Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean
Real.sin_pi_div_four
[ { "state_after": "x : ℝ\n⊢ sin (π / 4) = sin (π / 2 ^ 2)\n\nx : ℝ\n⊢ sin (π / 2 ^ 2) = sqrt 2 / 2", "state_before": "x : ℝ\n⊢ sin (π / 4) = sqrt 2 / 2", "tactic": "trans sin (π / 2 ^ 2)" }, { "state_after": "case e_x.e_a\nx : ℝ\n⊢ 4 = 2 ^ 2\n\nx : ℝ\n⊢ sin (π / 2 ^ 2) = sqrt 2 / 2", "state_b...
[ 793, 7 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 789, 1 ]
Mathlib/MeasureTheory/Function/EssSup.lean
meas_essSup_lt
[ { "state_after": "α : Type u_2\nβ : Type u_1\nm : MeasurableSpace α\nμ ν : MeasureTheory.Measure α\ninst✝³ : ConditionallyCompleteLinearOrder β\nx : β\nf : α → β\ninst✝² : TopologicalSpace β\ninst✝¹ : FirstCountableTopology β\ninst✝ : OrderTopology β\nhf : autoParam (IsBoundedUnder (fun x x_1 => x ≤ x_1) (Measu...
[ 133, 24 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 129, 1 ]
Mathlib/LinearAlgebra/InvariantBasisNumber.lean
le_of_fin_surjective
[]
[ 136, 39 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 134, 1 ]
Mathlib/Analysis/Convex/Cone/Basic.lean
ConvexCone.Pointed.mono
[]
[ 364, 7 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 363, 1 ]
Mathlib/GroupTheory/Subgroup/Basic.lean
zpow_mem
[ { "state_after": "G : Type ?u.5843\nG' : Type ?u.5846\ninst✝⁴ : Group G\ninst✝³ : Group G'\nA : Type ?u.5855\ninst✝² : AddGroup A\nM : Type u_1\nS : Type u_2\ninst✝¹ : DivInvMonoid M\ninst✝ : SetLike S M\nhSM : SubgroupClass S M\nH K : S\nx : M\nhx : x ∈ K\nn : ℕ\n⊢ x ^ n ∈ K", "state_before": "G : Type ?u....
[ 157, 38 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 151, 1 ]
Mathlib/MeasureTheory/Constructions/Pi.lean
generateFrom_eq_pi
[ { "state_after": "no goals", "state_before": "ι : Type u_2\nι' : Type ?u.865740\nα : ι → Type u_1\ninst✝¹ : Finite ι\ninst✝ : Finite ι'\nh : (i : ι) → MeasurableSpace (α i)\nC : (i : ι) → Set (Set (α i))\nhC : ∀ (i : ι), generateFrom (C i) = h i\nh2C : ∀ (i : ι), IsCountablySpanning (C i)\n⊢ generateFrom (S...
[ 139, 43 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 136, 1 ]
Mathlib/Data/Polynomial/Eval.lean
Polynomial.eval₂_bit1
[ { "state_after": "no goals", "state_before": "R : Type u\nS : Type v\nT : Type w\nι : Type y\na b : R\nm n : ℕ\ninst✝¹ : Semiring R\np q r : R[X]\ninst✝ : Semiring S\nf : R →+* S\nx : S\n⊢ eval₂ f x (bit1 p) = bit1 (eval₂ f x p)", "tactic": "rw [bit1, eval₂_add, eval₂_bit0, eval₂_one, bit1]" } ]
[ 110, 52 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 109, 1 ]
Mathlib/Algebra/Module/Equiv.lean
AddEquiv.toIntLinearEquiv_toAddEquiv
[ { "state_after": "case h\nR : Type ?u.399758\nR₁ : Type ?u.399761\nR₂ : Type ?u.399764\nR₃ : Type ?u.399767\nk : Type ?u.399770\nS : Type ?u.399773\nM : Type u_1\nM₁ : Type ?u.399779\nM₂ : Type u_2\nM₃ : Type ?u.399785\nN₁ : Type ?u.399788\nN₂ : Type ?u.399791\nN₃ : Type ?u.399794\nN₄ : Type ?u.399797\nι : Type...
[ 859, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 857, 1 ]
Mathlib/Analysis/Fourier/FourierTransform.lean
Real.fourierIntegral_eq_integral_exp_smul
[ { "state_after": "no goals", "state_before": "E✝ : Type ?u.2407652\ninst✝⁵ : NormedAddCommGroup E✝\ninst✝⁴ : CompleteSpace E✝\ninst✝³ : NormedSpace ℂ E✝\nE : Type u_1\ninst✝² : NormedAddCommGroup E\ninst✝¹ : CompleteSpace E\ninst✝ : NormedSpace ℂ E\nf : ℝ → E\nw : ℝ\n⊢ 𝓕 f w = ∫ (v : ℝ), Complex.exp (↑(-2 ...
[ 278, 85 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 275, 1 ]
Mathlib/CategoryTheory/Limits/Shapes/Reflexive.lean
CategoryTheory.IsReflexivePair.common_section
[]
[ 53, 76 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 52, 1 ]
Mathlib/CategoryTheory/Monoidal/Free/Basic.lean
CategoryTheory.FreeMonoidalCategory.mk_l_hom
[]
[ 226, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 225, 1 ]
Mathlib/Topology/Separation.lean
eqOn_closure₂
[]
[ 1213, 83 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1209, 1 ]
Mathlib/SetTheory/Cardinal/Cofinality.lean
Cardinal.IsStrongLimit.isSuccLimit
[]
[ 878, 92 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 877, 11 ]
Mathlib/RingTheory/PowerSeries/Basic.lean
MvPowerSeries.coeff_mul_monomial
[ { "state_after": "σ : Type u_2\nR : Type u_1\ninst✝ : Semiring R\nm n : σ →₀ ℕ\nφ ψ : MvPowerSeries σ R\na : R\nthis :\n ∀ (p : (σ →₀ ℕ) × (σ →₀ ℕ)),\n p ∈ antidiagonal m → ↑(coeff R p.fst) φ * ↑(coeff R p.snd) (↑(monomial R n) a) ≠ 0 → p.snd = n\n⊢ ↑(coeff R m) (φ * ↑(monomial R n) a) = if n ≤ m then ↑(coe...
[ 244, 74 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 237, 1 ]
Mathlib/GroupTheory/Congruence.lean
Con.induction_on_units
[ { "state_after": "case mk.mk.mk\nM : Type u_1\nN : Type ?u.116933\nP : Type ?u.116936\nα : Type ?u.116939\ninst✝ : Monoid M\nc : Con M\np : (Con.Quotient c)ˣ → Prop\nH :\n ∀ (x y : M) (hxy : ↑c (x * y) 1) (hyx : ↑c (y * x) 1),\n p\n { val := ↑x, inv := ↑y, val_inv := (_ : ↑((fun x x_1 => x * x_1) x y) ...
[ 1336, 38 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1332, 1 ]
Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean
MeasureTheory.StronglyMeasurable.aestronglyMeasurable
[]
[ 135, 33 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 132, 11 ]
Mathlib/Data/Set/Function.lean
Set.piecewise_mem_pi
[ { "state_after": "α : Type u_2\nβ : Type ?u.97038\nγ : Type ?u.97041\nι : Sort ?u.97044\nπ : α → Type ?u.97049\nδ✝ : α → Sort ?u.97054\ns : Set α\nf✝ g✝ : (i : α) → δ✝ i\ninst✝ : (j : α) → Decidable (j ∈ s)\nδ : α → Type u_1\nt : Set α\nt' : (i : α) → Set (δ i)\nf g : (i : α) → δ i\nhf : f ∈ pi t t'\nhg : g ∈ p...
[ 1521, 54 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1518, 1 ]
Mathlib/Analysis/SpecialFunctions/Complex/Log.lean
Complex.exp_eq_one_iff
[ { "state_after": "case mp\nx : ℂ\n⊢ exp x = 1 → ∃ n, x = ↑n * (2 * ↑π * I)\n\ncase mpr\nx : ℂ\n⊢ (∃ n, x = ↑n * (2 * ↑π * I)) → exp x = 1", "state_before": "x : ℂ\n⊢ exp x = 1 ↔ ∃ n, x = ↑n * (2 * ↑π * I)", "tactic": "constructor" }, { "state_after": "case mp\nx : ℂ\nh : exp x = 1\n⊢ ∃ n, x = ↑n...
[ 152, 53 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 143, 1 ]
Mathlib/Data/Complex/Module.lean
Complex.smul_im
[]
[ 67, 88 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 67, 1 ]
Mathlib/Data/List/MinMax.lean
List.argmax_mem
[ { "state_after": "no goals", "state_before": "α : Type u_1\nβ : Type u_2\ninst✝¹ : Preorder β\ninst✝ : DecidableRel fun x x_1 => x < x_1\nf : α → β\nl : List α\no : Option α\na m✝ m : α\n⊢ m ∈ argmax f [] → m ∈ []", "tactic": "simp" }, { "state_after": "no goals", "state_before": "α : Type u...
[ 154, 78 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 152, 1 ]
Mathlib/Data/Finset/Fold.lean
Finset.le_fold_max
[]
[ 251, 32 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 250, 1 ]
Mathlib/Topology/MetricSpace/IsometricSMul.lean
nndist_mul_left
[]
[ 367, 20 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 365, 1 ]
Mathlib/LinearAlgebra/Matrix/Determinant.lean
Matrix.coe_det_isEmpty
[ { "state_after": "case h\nm : Type ?u.177310\nn : Type u_1\ninst✝⁵ : DecidableEq n\ninst✝⁴ : Fintype n\ninst✝³ : DecidableEq m\ninst✝² : Fintype m\nR : Type v\ninst✝¹ : CommRing R\ninst✝ : IsEmpty n\nx✝ : Matrix n n R\n⊢ det x✝ = const (Matrix n n R) 1 x✝", "state_before": "m : Type ?u.177310\nn : Type u_1\...
[ 109, 20 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 107, 1 ]
Mathlib/Data/Finset/Lattice.lean
Finset.sup_lt_iff
[ { "state_after": "no goals", "state_before": "F : Type ?u.215549\nα : Type u_1\nβ : Type ?u.215555\nγ : Type ?u.215558\nι : Type u_2\nκ : Type ?u.215564\ninst✝¹ : LinearOrder α\ninst✝ : OrderBot α\ns : Finset ι\nf : ι → α\na : α\nha : ⊥ < a\nc : ι\nt : Finset ι\nhc : ¬c ∈ t\n⊢ ((∀ (b : ι), b ∈ t → f b < a) ...
[ 708, 89 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 705, 11 ]
Std/Data/Int/Lemmas.lean
Int.sub_le_of_sub_le
[]
[ 1028, 59 ]
e68aa8f5fe47aad78987df45f99094afbcb5e936
https://github.com/leanprover/std4
[ 1027, 11 ]
Mathlib/MeasureTheory/Group/Prod.lean
MeasureTheory.inv_absolutelyContinuous
[]
[ 186, 54 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 185, 1 ]
Mathlib/MeasureTheory/Integral/SetIntegral.lean
integral_conj
[]
[ 1167, 62 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1166, 1 ]
Mathlib/GroupTheory/OrderOfElement.lean
orderOf_eq_of_pow_and_pow_div_prime
[ { "state_after": "case intro\nG : Type u\nA : Type v\nx y : G\na✝ b : A\nn m : ℕ\ninst✝¹ : Monoid G\ninst✝ : AddMonoid A\nhn : 0 < n\nhx : x ^ n = 1\nhd : ∀ (p : ℕ), Nat.Prime p → p ∣ n → x ^ (n / p) ≠ 1\na : ℕ\nha : n = orderOf x * a\n⊢ orderOf x = n", "state_before": "G : Type u\nA : Type v\nx y : G\na b ...
[ 321, 39 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 304, 1 ]
Mathlib/Algebra/GCDMonoid/Basic.lean
lcm_eq_one_iff
[ { "state_after": "no goals", "state_before": "α : Type u_1\ninst✝¹ : CancelCommMonoidWithZero α\ninst✝ : NormalizedGCDMonoid α\na b : α\nx✝ : a ∣ 1 ∧ b ∣ 1\nc : α\nhc : 1 = a * c\nd : α\nhd : 1 = b * d\n⊢ lcm ↑(Units.mkOfMulEqOne a c (_ : a * c = 1)) ↑(Units.mkOfMulEqOne b d (_ : b * d = 1)) = 1", "tact...
[ 814, 51 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 811, 1 ]
src/lean/Init/Data/Nat/Basic.lean
Nat.zero_sub
[ { "state_after": "no goals", "state_before": "n : Nat\n⊢ 0 - n = 0", "tactic": "induction n with\n| zero => rfl\n| succ n ih => simp [ih, Nat.sub_succ]" }, { "state_after": "no goals", "state_before": "case zero\n\n⊢ 0 - zero = 0", "tactic": "rfl" }, { "state_after": "no goals", ...
[ 632, 41 ]
d5348dfac847a56a4595fb6230fd0708dcb4e7e9
https://github.com/leanprover/lean4
[ 629, 19 ]
Mathlib/Algebra/IndicatorFunction.lean
Set.mulIndicator_le_one
[]
[ 810, 34 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 809, 1 ]
Mathlib/Analysis/SpecialFunctions/Log/Base.lean
Real.logb_neg_eq_logb
[ { "state_after": "no goals", "state_before": "b x✝ y x : ℝ\n⊢ logb b (-x) = logb b x", "tactic": "rw [← logb_abs x, ← logb_abs (-x), abs_neg]" } ]
[ 65, 46 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 64, 1 ]
Mathlib/MeasureTheory/Measure/MeasureSpace.lean
MeasureTheory.isProbabilityMeasureSmul
[ { "state_after": "case measure_univ\nα : Type u_1\nβ : Type ?u.654181\nγ : Type ?u.654184\nδ : Type ?u.654187\nι : Type ?u.654190\nR : Type ?u.654193\nR' : Type ?u.654196\nm0 : MeasurableSpace α\ninst✝² : MeasurableSpace β\ninst✝¹ : MeasurableSpace γ\nμ μ₁ μ₂ μ₃ ν ν' ν₁ ν₂ : Measure α\ns s' t : Set α\ninst✝ : I...
[ 3233, 29 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 3228, 1 ]
Mathlib/Data/Finset/Basic.lean
List.toFinset_surjective
[]
[ 3277, 11 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 3275, 1 ]
Mathlib/Analysis/Calculus/ContDiff.lean
ContinuousLinearEquiv.contDiffAt_comp_iff
[ { "state_after": "𝕜 : Type u_1\ninst✝¹⁰ : NontriviallyNormedField 𝕜\nD : Type uD\ninst✝⁹ : NormedAddCommGroup D\ninst✝⁸ : NormedSpace 𝕜 D\nE : Type uE\ninst✝⁷ : NormedAddCommGroup E\ninst✝⁶ : NormedSpace 𝕜 E\nF : Type uF\ninst✝⁵ : NormedAddCommGroup F\ninst✝⁴ : NormedSpace 𝕜 F\nG : Type uG\ninst✝³ : Normed...
[ 486, 36 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 483, 1 ]
Mathlib/Topology/Algebra/InfiniteSum/Order.lean
tsum_le_of_sum_range_le
[]
[ 36, 56 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 33, 1 ]
Mathlib/Topology/Algebra/Module/Basic.lean
ContinuousLinearMap.ext_on
[]
[ 545, 42 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 543, 1 ]
Mathlib/RingTheory/OreLocalization/Basic.lean
OreLocalization.inv_zero
[ { "state_after": "R : Type u_1\ninst✝³ : Ring R\ninst✝² : Nontrivial R\ninst✝¹ : OreSet R⁰\ninst✝ : NoZeroDivisors R\n⊢ (if hr : 0 = 0 then 0 else ↑1 /ₒ { val := 0, property := (_ : ∀ (x : R), x * 0 = 0 → x = 0) }) = 0 /ₒ 1", "state_before": "R : Type u_1\ninst✝³ : Ring R\ninst✝² : Nontrivial R\ninst✝¹ : Or...
[ 933, 7 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 931, 11 ]
Mathlib/Data/Set/Basic.lean
Set.Nontrivial.pair_subset
[]
[ 2475, 63 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 2473, 1 ]
Mathlib/Data/Set/Sups.lean
Set.sups_right_comm
[]
[ 207, 35 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 206, 1 ]
Mathlib/Order/CompleteLattice.lean
sInf_diff_singleton_top
[]
[ 530, 35 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 529, 1 ]
Mathlib/Algebra/Order/Sub/Defs.lean
add_tsub_le_right
[]
[ 74, 31 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 73, 1 ]
Mathlib/Order/Hom/CompleteLattice.lean
sInfHom.ext
[]
[ 412, 20 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 411, 1 ]
Mathlib/Order/RelClasses.lean
rel_of_subsingleton
[]
[ 148, 33 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 147, 1 ]
Mathlib/Data/Multiset/Basic.lean
Multiset.rel_map_left
[ { "state_after": "no goals", "state_before": "α : Type u_3\nβ : Type u_2\nγ : Type u_1\nδ : Type ?u.456244\nr : α → β → Prop\np : γ → δ → Prop\ns : Multiset γ\nf : γ → α\n⊢ ∀ {t : Multiset β}, Rel r (map f 0) t ↔ Rel (fun a b => r (f a) b) 0 t", "tactic": "simp" }, { "state_after": "no goals", ...
[ 2767, 100 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 2765, 1 ]
Mathlib/GroupTheory/Submonoid/Pointwise.lean
AddSubmonoid.mul_mem_mul
[ { "state_after": "no goals", "state_before": "α : Type ?u.239358\nG : Type ?u.239361\nM✝ : Type ?u.239364\nR : Type u_1\nA : Type ?u.239370\ninst✝² : Monoid M✝\ninst✝¹ : AddMonoid A\ninst✝ : NonUnitalNonAssocSemiring R\nM N : AddSubmonoid R\nm n : R\nhm : m ∈ M\nhn : n ∈ N\n⊢ ↑(↑AddMonoidHom.mul ↑{ val := m...
[ 537, 50 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 536, 1 ]
Mathlib/Order/ModularLattice.lean
inf_covby_of_covby_sup_right
[ { "state_after": "α : Type u_1\ninst✝¹ : Lattice α\ninst✝ : IsLowerModularLattice α\na b : α\n⊢ b ⋖ b ⊔ a → b ⊓ a ⋖ a", "state_before": "α : Type u_1\ninst✝¹ : Lattice α\ninst✝ : IsLowerModularLattice α\na b : α\n⊢ b ⋖ a ⊔ b → a ⊓ b ⋖ a", "tactic": "rw [inf_comm, sup_comm]" }, { "state_after": "...
[ 185, 36 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 183, 1 ]
Mathlib/CategoryTheory/Abelian/Exact.lean
CategoryTheory.Abelian.exact_iff_exact_image_ι
[ { "state_after": "C : Type u₁\ninst✝¹ : Category C\ninst✝ : Abelian C\nX Y Z : C\nf : X ⟶ Y\ng : Y ⟶ Z\n⊢ Exact (Abelian.factorThruImage f ≫ image.ι f) g ↔ Exact (image.ι f) g", "state_before": "C : Type u₁\ninst✝¹ : Category C\ninst✝ : Abelian C\nX Y Z : C\nf : X ⟶ Y\ng : Y ⟶ Z\n⊢ Exact f g ↔ Exact (image....
[ 244, 26 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 242, 1 ]
Std/Data/RBMap/Lemmas.lean
Std.RBNode.zoom_toList
[ { "state_after": "α : Type u_1\ncut : α → Ordering\nt' : RBNode α\np' : Path α\nt : RBNode α\neq : zoom cut t root = (t', p')\n⊢ toList (fill root t) = toList t", "state_before": "α : Type u_1\ncut : α → Ordering\nt' : RBNode α\np' : Path α\nt : RBNode α\neq : zoom cut t root = (t', p')\n⊢ withList p' (toLi...
[ 488, 83 ]
e68aa8f5fe47aad78987df45f99094afbcb5e936
https://github.com/leanprover/std4
[ 487, 1 ]
Mathlib/Order/CompleteLattice.lean
iSup_neg
[]
[ 1091, 52 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1090, 1 ]
Mathlib/Analysis/Analytic/Basic.lean
HasFPowerSeriesOnBall.image_sub_sub_deriv_le
[ { "state_after": "no goals", "state_before": "𝕜 : Type u_1\nE : Type u_2\nF : Type u_3\nG : Type ?u.932002\ninst✝⁶ : NontriviallyNormedField 𝕜\ninst✝⁵ : NormedAddCommGroup E\ninst✝⁴ : NormedSpace 𝕜 E\ninst✝³ : NormedAddCommGroup F\ninst✝² : NormedSpace 𝕜 F\ninst✝¹ : NormedAddCommGroup G\ninst✝ : NormedS...
[ 792, 53 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 786, 1 ]
Mathlib/Data/List/Forall2.lean
List.Forall₂.imp
[ { "state_after": "no goals", "state_before": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.1154\nδ : Type ?u.1157\nR S : α → β → Prop\nP : γ → δ → Prop\nRₐ : α → α → Prop\nH : ∀ (a : α) (b : β), R a b → S a b\nl₁ : List α\nl₂ : List β\nh : Forall₂ R l₁ l₂\n⊢ Forall₂ S l₁ l₂", "tactic": "induction h <;> const...
[ 43, 48 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 42, 1 ]
Mathlib/Analysis/Convex/Hull.lean
convexHull_convexHull_union_right
[]
[ 149, 50 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 147, 1 ]
Mathlib/LinearAlgebra/Span.lean
Submodule.mem_span_singleton
[ { "state_after": "case refine_1\nR : Type u_2\nR₂ : Type ?u.115596\nK : Type ?u.115599\nM : Type u_1\nM₂ : Type ?u.115605\nV : Type ?u.115608\nS : Type ?u.115611\ninst✝⁵ : Semiring R\ninst✝⁴ : AddCommMonoid M\ninst✝³ : Module R M\nx : M\np p' : Submodule R M\ninst✝² : Semiring R₂\nσ₁₂ : R →+* R₂\ninst✝¹ : AddCo...
[ 411, 69 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 401, 1 ]
Mathlib/Logic/Basic.lean
Iff.not_right
[]
[ 277, 72 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 277, 1 ]
Mathlib/Data/Seq/Seq.lean
Stream'.Seq1.map_pair
[]
[ 925, 78 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 925, 1 ]
Mathlib/AlgebraicGeometry/PrimeSpectrum/Basic.lean
PrimeSpectrum.zeroLocus_inf
[]
[ 359, 30 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 357, 1 ]
Mathlib/Topology/Separation.lean
nhdsWithin_of_mem_discrete
[]
[ 823, 101 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 821, 1 ]