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src/lean/Init/Data/Option/Basic.lean
Option.map_id
[]
[ 44, 63 ]
d5348dfac847a56a4595fb6230fd0708dcb4e7e9
https://github.com/leanprover/lean4
[ 43, 1 ]
Mathlib/Geometry/Euclidean/Angle/Unoriented/RightAngle.lean
EuclideanGeometry.angle_le_pi_div_two_of_angle_eq_pi_div_two
[ { "state_after": "V : Type u_1\nP : Type u_2\ninst✝³ : NormedAddCommGroup V\ninst✝² : InnerProductSpace ℝ V\ninst✝¹ : MetricSpace P\ninst✝ : NormedAddTorsor V P\np₁ p₂ p₃ : P\nh : inner (p₂ -ᵥ p₃) (p₁ -ᵥ p₂) = 0\n⊢ ∠ p₂ p₃ p₁ ≤ π / 2", "state_before": "V : Type u_1\nP : Type u_2\ninst✝³ : NormedAddCommGroup...
[ 420, 51 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 415, 1 ]
Mathlib/Algebra/Tropical/BigOperators.lean
untrop_prod
[ { "state_after": "case h.e'_3\nR : Type u_1\nS : Type u_2\ninst✝ : AddCommMonoid R\ns : Finset S\nf : S → Tropical R\n⊢ ∑ i in s, untrop (f i) = Multiset.sum (Multiset.map untrop (Multiset.map f s.val))", "state_before": "R : Type u_1\nS : Type u_2\ninst✝ : AddCommMonoid R\ns : Finset S\nf : S → Tropical R\...
[ 79, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 75, 1 ]
Mathlib/Analysis/Calculus/ContDiffDef.lean
contDiff_iff_contDiffAt
[ { "state_after": "no goals", "state_before": "𝕜 : Type u\ninst✝⁸ : NontriviallyNormedField 𝕜\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 : NormedAddCommGroup G\ninst✝² : NormedSpace 𝕜 G\...
[ 1418, 51 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1417, 1 ]
Mathlib/Analysis/NormedSpace/Star/Multiplier.lean
DoubleCentralizer.coe_eq_algebraMap
[ { "state_after": "no goals", "state_before": "𝕜 : Type u_1\nA : Type ?u.864686\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NonUnitalNormedRing A\ninst✝² : NormedSpace 𝕜 A\ninst✝¹ : SMulCommClass 𝕜 A A\ninst✝ : IsScalarTower 𝕜 A A\n⊢ ↑𝕜 = ↑(algebraMap 𝕜 𝓜(𝕜, 𝕜))", "tactic": "ext <;>\nsimp onl...
[ 513, 90 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 509, 1 ]
Mathlib/Algebra/Order/Field/Basic.lean
IsLUB.mul_right
[ { "state_after": "no goals", "state_before": "ι : Type ?u.191131\nα : Type u_1\nβ : Type ?u.191137\ninst✝ : LinearOrderedField α\na b c d : α\nn : ℤ\ns : Set α\nha : 0 ≤ a\nhs : IsLUB s b\n⊢ IsLUB ((fun b => b * a) '' s) (b * a)", "tactic": "simpa [mul_comm] using hs.mul_left ha" } ]
[ 949, 86 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 948, 1 ]
Mathlib/RingTheory/AlgebraicIndependent.lean
AlgebraicIndependent.algebraMap_injective
[ { "state_after": "no goals", "state_before": "ι : Type ?u.101051\nι' : Type ?u.101054\nR : Type u_1\nK : Type ?u.101060\nA : Type u_2\nA' : Type ?u.101066\nA'' : Type ?u.101069\nV : Type u\nV' : Type ?u.101074\nx : ι → A\ninst✝⁶ : CommRing R\ninst✝⁵ : CommRing A\ninst✝⁴ : CommRing A'\ninst✝³ : CommRing A''\...
[ 113, 37 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 110, 1 ]
Mathlib/NumberTheory/FermatPsp.lean
FermatPsp.exists_infinite_pseudoprimes
[ { "state_after": "case pos\nb : ℕ\nh : 1 ≤ b\nm : ℕ\nb_ge_two : 2 ≤ b\n⊢ ∃ n, FermatPsp n b ∧ m ≤ n\n\ncase neg\nb : ℕ\nh : 1 ≤ b\nm : ℕ\nb_ge_two : ¬2 ≤ b\n⊢ ∃ n, FermatPsp n b ∧ m ≤ n", "state_before": "b : ℕ\nh : 1 ≤ b\nm : ℕ\n⊢ ∃ n, FermatPsp n b ∧ m ≤ n", "tactic": "by_cases b_ge_two : 2 ≤ b" }, ...
[ 387, 53 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 354, 1 ]
Mathlib/Analysis/Normed/Field/Basic.lean
nndist_inv_inv₀
[ { "state_after": "α : Type u_1\nβ : Type ?u.270994\nγ : Type ?u.270997\nι : Type ?u.271000\ninst✝ : NormedDivisionRing α\nz w : α\nhz : z ≠ 0\nhw : w ≠ 0\n⊢ ↑(nndist z⁻¹ w⁻¹) = ↑(nndist z w / (‖z‖₊ * ‖w‖₊))", "state_before": "α : Type u_1\nβ : Type ?u.270994\nγ : Type ?u.270997\nι : Type ?u.271000\ninst✝ : ...
[ 603, 45 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 600, 1 ]
Mathlib/Algebra/Parity.lean
Even.neg_pow
[ { "state_after": "case intro\nF : Type ?u.20712\nα : Type u_1\nβ : Type ?u.20718\nR : Type ?u.20721\ninst✝¹ : Monoid α\na✝ : α\ninst✝ : HasDistribNeg α\nc : ℕ\na : α\n⊢ (-a) ^ (c + c) = a ^ (c + c)", "state_before": "F : Type ?u.20712\nα : Type u_1\nβ : Type ?u.20718\nR : Type ?u.20721\ninst✝¹ : Monoid α\nn...
[ 137, 39 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 135, 1 ]
Mathlib/Analysis/SpecialFunctions/Pow/Complex.lean
Complex.cpow_nat_inv_pow
[ { "state_after": "x : ℂ\nn : ℕ\nhn : n ≠ 0\n⊢ (log x * (↑n)⁻¹).im ∈ Set.Ioc (-π) π", "state_before": "x : ℂ\nn : ℕ\nhn : n ≠ 0\n⊢ (x ^ (↑n)⁻¹) ^ n = x", "tactic": "suffices im (log x * (n⁻¹ : ℂ)) ∈ Ioc (-π) π by\n rw [← cpow_nat_cast, ← cpow_mul _ this.1 this.2, inv_mul_cancel, cpow_one]\n exact_mod_c...
[ 163, 64 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 144, 1 ]
Mathlib/MeasureTheory/Measure/Lebesgue/EqHaar.lean
MeasureTheory.Measure.add_haar_ball
[ { "state_after": "no goals", "state_before": "E : Type u_1\ninst✝⁹ : NormedAddCommGroup E\ninst✝⁸ : NormedSpace ℝ E\ninst✝⁷ : MeasurableSpace E\ninst✝⁶ : BorelSpace E\ninst✝⁵ : FiniteDimensional ℝ E\nμ : Measure E\ninst✝⁴ : IsAddHaarMeasure μ\nF : Type ?u.1985564\ninst✝³ : NormedAddCommGroup F\ninst✝² : Nor...
[ 438, 43 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 436, 1 ]
Mathlib/Data/Polynomial/Eval.lean
Polynomial.mapRingHom_id
[]
[ 897, 31 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 896, 1 ]
Mathlib/LinearAlgebra/Basic.lean
LinearEquiv.conj_apply_apply
[]
[ 2375, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 2373, 1 ]
Mathlib/LinearAlgebra/Matrix/ToLin.lean
Algebra.smul_leftMulMatrix_algebraMap_ne
[ { "state_after": "no goals", "state_before": "R : Type u_2\nS : Type u_5\nT : Type u_3\ninst✝¹⁰ : CommRing R\ninst✝⁹ : CommRing S\ninst✝⁸ : Ring T\ninst✝⁷ : Algebra R S\ninst✝⁶ : Algebra S T\ninst✝⁵ : Algebra R T\ninst✝⁴ : IsScalarTower R S T\nm : Type u_4\nn : Type u_1\ninst✝³ : Fintype m\ninst✝² : Fintype...
[ 949, 69 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 947, 1 ]
Mathlib/Logic/Equiv/Option.lean
Equiv.removeNone_some
[]
[ 138, 26 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 136, 1 ]
Mathlib/Data/Finset/Lattice.lean
Finset.max_empty
[]
[ 1166, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1165, 1 ]
Mathlib/Order/Hom/Basic.lean
OrderIso.refl_apply
[]
[ 843, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 842, 1 ]
Mathlib/Analysis/Convex/Extreme.lean
isExtreme_iInter
[ { "state_after": "𝕜 : Type u_3\nE : Type u_2\nF✝ : Type ?u.2902\nι✝ : Type ?u.2905\nπ : ι✝ → Type ?u.2910\ninst✝³ : OrderedSemiring 𝕜\ninst✝² : AddCommMonoid E\ninst✝¹ : SMul 𝕜 E\nA B C : Set E\nx : E\nι : Sort u_1\ninst✝ : Nonempty ι\nF : ι → Set E\nhAF : ∀ (i : ι), IsExtreme 𝕜 A (F i)\ni : ι\n⊢ IsExtreme ...
[ 119, 43 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 113, 1 ]
Mathlib/Probability/Independence/Basic.lean
ProbabilityTheory.IndepFun.symm
[]
[ 710, 31 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 709, 8 ]
Mathlib/Data/Matrix/Notation.lean
Matrix.head_transpose
[]
[ 214, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 212, 1 ]
Mathlib/SetTheory/Cardinal/Ordinal.lean
Cardinal.power_self_eq
[ { "state_after": "c : Cardinal\nh : ℵ₀ ≤ c\n⊢ 2 ^ c ≤ c ^ c\n\nc : Cardinal\nh : ℵ₀ ≤ c\n⊢ (2 ^ c) ^ c ≤ 2 ^ c", "state_before": "c : Cardinal\nh : ℵ₀ ≤ c\n⊢ c ^ c = 2 ^ c", "tactic": "apply ((power_le_power_right <| (cantor c).le).trans _).antisymm" }, { "state_after": "no goals", "state_be...
[ 932, 36 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 929, 1 ]
Mathlib/Algebra/BigOperators/Finsupp.lean
Nat.prod_pow_pos_of_zero_not_mem_support
[ { "state_after": "α : Type ?u.637459\nι : Type ?u.637462\nγ : Type ?u.637465\nA : Type ?u.637468\nB : Type ?u.637471\nC : Type ?u.637474\ninst✝² : AddCommMonoid A\ninst✝¹ : AddCommMonoid B\ninst✝ : AddCommMonoid C\nt : ι → A → C\nh0 : ∀ (i : ι), t i 0 = 0\nh1 : ∀ (i : ι) (x y : A), t i (x + y) = t i x + t i y\n...
[ 664, 98 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 662, 1 ]
Mathlib/CategoryTheory/Limits/Shapes/Equalizers.lean
CategoryTheory.Limits.eq_of_epi_fork_ι
[]
[ 882, 48 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 881, 1 ]
Mathlib/Algebra/Hom/Equiv/Basic.lean
MulEquiv.mk_coe
[]
[ 493, 19 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 492, 1 ]
Mathlib/NumberTheory/ArithmeticFunction.lean
Nat.ArithmeticFunction.coe_mk
[]
[ 94, 31 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 93, 1 ]
Mathlib/GroupTheory/Subsemigroup/Basic.lean
Subsemigroup.mem_closure
[]
[ 307, 11 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 306, 1 ]
Mathlib/Analysis/NormedSpace/lpSpace.lean
lp.uniformContinuous_coe
[ { "state_after": "α : Type u_1\nE : α → Type u_2\np q : ℝ≥0∞\ninst✝ : (i : α) → NormedAddCommGroup (E i)\n_i : Fact (1 ≤ p)\nhp : p ≠ 0\n⊢ UniformContinuous Subtype.val", "state_before": "α : Type u_1\nE : α → Type u_2\np q : ℝ≥0∞\ninst✝ : (i : α) → NormedAddCommGroup (E i)\n_i : Fact (1 ≤ p)\n⊢ UniformCont...
[ 1125, 26 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1114, 1 ]
Mathlib/Order/GameAdd.lean
Prod.gameAdd_iff
[ { "state_after": "case mp\nα : Type u_1\nβ : Type u_2\nrα✝ : α → α → Prop\nrβ✝ : β → β → Prop\nrα : α → α → Prop\nrβ : β → β → Prop\nx y : α × β\n⊢ GameAdd rα rβ x y → rα x.fst y.fst ∧ x.snd = y.snd ∨ rβ x.snd y.snd ∧ x.fst = y.fst\n\ncase mpr\nα : Type u_1\nβ : Type u_2\nrα✝ : α → α → Prop\nrβ✝ : β → β → Prop\...
[ 68, 42 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 61, 1 ]
Mathlib/Data/PNat/Defs.lean
PNat.toPNat'_coe
[]
[ 168, 22 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 167, 1 ]
Mathlib/Algebra/Lie/Abelian.lean
Function.Injective.isLieAbelian
[]
[ 68, 36 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 61, 1 ]
Mathlib/SetTheory/Ordinal/Arithmetic.lean
Ordinal.sup_eq_lsub_iff_lt_sup
[ { "state_after": "α : Type ?u.326038\nβ : Type ?u.326041\nγ : Type ?u.326044\nr : α → α → Prop\ns : β → β → Prop\nt : γ → γ → Prop\nι : Type u\nf : ι → Ordinal\nh : sup f = lsub f\ni : ι\n⊢ f i < lsub f", "state_before": "α : Type ?u.326038\nβ : Type ?u.326041\nγ : Type ?u.326044\nr : α → α → Prop\ns : β → ...
[ 1659, 69 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1655, 1 ]
Mathlib/Data/Seq/WSeq.lean
Stream'.WSeq.liftRel_cons
[ { "state_after": "α : Type u\nβ : Type v\nγ : Type w\nR : α → β → Prop\na : α\nb : β\ns : WSeq α\nt : WSeq β\n⊢ Computation.LiftRel (LiftRelO R (LiftRel R)) (destruct (cons a s)) (destruct (cons b t)) ↔ R a b ∧ LiftRel R s t", "state_before": "α : Type u\nβ : Type v\nγ : Type w\nR : α → β → Prop\na : α\nb :...
[ 1103, 49 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1099, 1 ]
Mathlib/Order/Disjoint.lean
codisjoint_toDual_iff
[]
[ 429, 10 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 427, 1 ]
Std/Classes/LawfulMonad.lean
SatisfiesM_StateT_eq
[ { "state_after": "case refine_1\nm : Type u_1 → Type u_2\nα ρ : Type u_1\np : α → Prop\nx : StateT ρ m α\ninst✝¹ : Monad m\ninst✝ : LawfulMonad m\nx✝ : SatisfiesM p x\nf : StateT ρ m { a // p a }\neq : Subtype.val <$> f = x\n⊢ ∃ f_1, ∀ (x : ρ), Subtype.val <$> f_1 x = (Subtype.val <$> f) x\n\ncase refine_2\nm :...
[ 208, 51 ]
e68aa8f5fe47aad78987df45f99094afbcb5e936
https://github.com/leanprover/std4
[ 202, 9 ]
Mathlib/Data/DList/Basic.lean
Std.DList.toList_ofList
[ { "state_after": "case nil\nα : Type u_1\n⊢ toList (ofList []) = []\n\ncase cons\nα : Type u_1\nhead✝ : α\ntail✝ : List α\n⊢ toList (ofList (head✝ :: tail✝)) = head✝ :: tail✝", "state_before": "α : Type u_1\nl : List α\n⊢ toList (ofList l) = l", "tactic": "cases l" }, { "state_after": "case cons...
[ 56, 90 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 55, 1 ]
Mathlib/LinearAlgebra/Span.lean
Submodule.map_span
[]
[ 102, 78 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 98, 1 ]
Mathlib/Algebra/GroupPower/Ring.lean
Ring.inverse_pow
[ { "state_after": "no goals", "state_before": "R : Type ?u.52055\nS : Type ?u.52058\nM : Type u_1\ninst✝ : MonoidWithZero M\nr : M\n⊢ inverse r ^ 0 = inverse (r ^ 0)", "tactic": "rw [pow_zero, pow_zero, Ring.inverse_one]" }, { "state_after": "no goals", "state_before": "R : Type ?u.52055\nS :...
[ 112, 28 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 108, 1 ]
Mathlib/Analysis/Calculus/FDeriv/Equiv.lean
ContinuousLinearEquiv.comp_differentiable_iff
[ { "state_after": "𝕜 : Type u_1\ninst✝⁸ : NontriviallyNormedField 𝕜\nE : Type u_4\ninst✝⁷ : NormedAddCommGroup E\ninst✝⁶ : NormedSpace 𝕜 E\nF : Type u_3\ninst✝⁵ : NormedAddCommGroup F\ninst✝⁴ : NormedSpace 𝕜 F\nG : Type u_2\ninst✝³ : NormedAddCommGroup G\ninst✝² : NormedSpace 𝕜 G\nG' : Type ?u.76970\ninst✝¹...
[ 120, 38 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 118, 1 ]
Mathlib/Algebra/GeomSum.lean
geom₂_sum
[]
[ 263, 34 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 261, 1 ]
Mathlib/LinearAlgebra/Quotient.lean
Submodule.map_mkQ_eq_top
[ { "state_after": "no goals", "state_before": "R : Type u_2\nM : Type u_1\nr : R\nx y : M\ninst✝⁵ : Ring R\ninst✝⁴ : AddCommGroup M\ninst✝³ : Module R M\np p' : Submodule R M\nR₂ : Type ?u.242912\nM₂ : Type ?u.242915\ninst✝² : Ring R₂\ninst✝¹ : AddCommGroup M₂\ninst✝ : Module R₂ M₂\nτ₁₂ : R →+* R₂\n⊢ map (mk...
[ 401, 70 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 398, 1 ]
Mathlib/GroupTheory/Submonoid/Operations.lean
Submonoid.coe_comap
[]
[ 194, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 193, 1 ]
Mathlib/LinearAlgebra/AffineSpace/AffineSubspace.lean
AffineSubspace.inter_eq_singleton_of_nonempty_of_isCompl
[ { "state_after": "case intro\nk : Type u_1\nV : Type u_2\nP : Type u_3\ninst✝² : Ring k\ninst✝¹ : AddCommGroup V\ninst✝ : Module k V\nS : AffineSpace V P\np₁ p₂ : P\ns1 s2 : AffineSubspace k P\nh1 : Set.Nonempty ↑s1\nh2 : Set.Nonempty ↑s2\nhd : IsCompl (direction s1) (direction s2)\np : P\nhp : p ∈ ↑s1 ∩ ↑s2\n⊢...
[ 1002, 31 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 990, 1 ]
Mathlib/CategoryTheory/Adjunction/Opposites.lean
CategoryTheory.Adjunction.rightAdjointUniq_hom_counit
[ { "state_after": "case w.h\nC : Type u₁\ninst✝¹ : Category C\nD : Type u₂\ninst✝ : Category D\nF : C ⥤ D\nG G' : D ⥤ C\nadj1 : F ⊣ G\nadj2 : F ⊣ G'\nx✝ : D\n⊢ (whiskerRight (rightAdjointUniq adj1 adj2).hom F ≫ adj2.counit).app x✝ = adj1.counit.app x✝", "state_before": "C : Type u₁\ninst✝¹ : Category C\nD : ...
[ 285, 7 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 282, 1 ]
Mathlib/RingTheory/Ideal/Operations.lean
Ideal.mul_sup_eq_of_coprime_left
[ { "state_after": "R : Type u\nι : Type ?u.272678\ninst✝ : CommSemiring R\nI J K L : Ideal R\nh : J ⊔ I = ⊤\n⊢ I * K ⊔ J = K ⊔ J", "state_before": "R : Type u\nι : Type ?u.272678\ninst✝ : CommSemiring R\nI J K L : Ideal R\nh : I ⊔ J = ⊤\n⊢ I * K ⊔ J = K ⊔ J", "tactic": "rw [sup_comm] at h" }, { "...
[ 695, 56 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 693, 1 ]
Mathlib/Data/Set/Basic.lean
Monotone.inter
[]
[ 2889, 12 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 2887, 1 ]
Mathlib/Data/Set/Function.lean
Set.restrict_eq_restrict_iff
[]
[ 193, 18 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 192, 1 ]
Mathlib/AlgebraicGeometry/PrimeSpectrum/Basic.lean
PrimeSpectrum.basicOpen_zero
[ { "state_after": "no goals", "state_before": "R : Type u\nS : Type v\ninst✝¹ : CommRing R\ninst✝ : CommRing S\n⊢ ↑(basicOpen 0) = ↑⊥", "tactic": "simp" } ]
[ 793, 40 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 792, 1 ]
Mathlib/Data/Set/Intervals/Basic.lean
Set.Icc_ssubset_Icc_right
[]
[ 597, 72 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 594, 1 ]
Mathlib/Analysis/NormedSpace/PiLp.lean
PiLp.nnnorm_equiv_symm_const'
[ { "state_after": "p : ℝ≥0∞\n𝕜 : Type ?u.503614\n𝕜' : Type ?u.503617\nι : Type u_2\nα : ι → Type ?u.503625\nβ✝ : ι → Type ?u.503630\ninst✝¹⁰ : Fintype ι\ninst✝⁹ : Fact (1 ≤ p)\ninst✝⁸ : NormedField 𝕜\ninst✝⁷ : NormedField 𝕜'\ninst✝⁶ : (i : ι) → SeminormedAddCommGroup (β✝ i)\ninst✝⁵ : (i : ι) → NormedSpace 𝕜...
[ 907, 39 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 900, 1 ]
Mathlib/Algebra/Hom/Units.lean
Units.val_div_eq_div_val
[]
[ 133, 27 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 132, 1 ]
Mathlib/Topology/Algebra/Module/Basic.lean
ContinuousLinearMap.smulRight_one_eq_iff
[ { "state_after": "no goals", "state_before": "R₁ : Type u_1\nR₂ : Type ?u.669818\nR₃ : Type ?u.669821\ninst✝²⁰ : Semiring R₁\ninst✝¹⁹ : Semiring R₂\ninst✝¹⁸ : Semiring R₃\nσ₁₂ : R₁ →+* R₂\nσ₂₃ : R₂ →+* R₃\nσ₁₃ : R₁ →+* R₃\nM₁ : Type ?u.669899\ninst✝¹⁷ : TopologicalSpace M₁\ninst✝¹⁶ : AddCommMonoid M₁\nM'₁ :...
[ 1188, 65 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1186, 1 ]
Mathlib/CategoryTheory/Monoidal/OfHasFiniteProducts.lean
CategoryTheory.monoidalOfHasFiniteProducts.rightUnitor_hom
[]
[ 114, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 113, 1 ]
Mathlib/Analysis/BoxIntegral/Partition/Tagged.lean
BoxIntegral.TaggedPrepartition.distortion_le_of_mem
[]
[ 425, 11 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 424, 1 ]
Mathlib/Combinatorics/Additive/SalemSpencer.lean
MulSalemSpencer.mono
[]
[ 81, 48 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 80, 1 ]
Mathlib/Algebra/BigOperators/Multiset/Basic.lean
Multiset.prod_toList
[ { "state_after": "ι : Type ?u.6108\nα : Type u_1\nβ : Type ?u.6114\nγ : Type ?u.6117\ninst✝ : CommMonoid α\ns✝ t : Multiset α\na : α\nm : Multiset ι\nf g : ι → α\ns : Multiset α\n⊢ List.prod (toList s) = prod ↑(toList s)", "state_before": "ι : Type ?u.6108\nα : Type u_1\nβ : Type ?u.6114\nγ : Type ?u.6117\n...
[ 75, 16 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 73, 1 ]
Mathlib/Data/Set/Function.lean
Set.InjOn.invFunOn_image
[]
[ 1253, 39 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1251, 1 ]
Mathlib/Topology/Separation.lean
subsingleton_closure
[]
[ 638, 55 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 637, 1 ]
Mathlib/CategoryTheory/Category/Bipointed.lean
pointedToBipointedFst_comp_swap
[]
[ 191, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 189, 1 ]
Mathlib/MeasureTheory/Measure/MeasureSpace.lean
MeasureTheory.Measure.FiniteSpanningSetsIn.ext
[]
[ 3758, 95 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 3756, 11 ]
Mathlib/Algebra/Order/LatticeGroup.lean
LatticeOrderedAddCommGroup.solidClosure_min
[]
[ 620, 39 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 619, 1 ]
Mathlib/Algebra/Jordan/Basic.lean
aux0
[ { "state_after": "A : Type u_1\ninst✝¹ : NonUnitalNonAssocRing A\ninst✝ : IsCommJordan A\na b c : A\n⊢ ⁅↑L (a + b + c), ↑L (a * (a + b + c) + b * (a + b + c) + c * (a + b + c))⁆ =\n ⁅↑L a + ↑L b + ↑L c, ↑L (a * a) + ↑L (b * b) + ↑L (c * c) + 2 • ↑L (a * b) + 2 • ↑L (c * a) + 2 • ↑L (b * c)⁆", "state_befo...
[ 198, 7 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 189, 9 ]
Mathlib/CategoryTheory/Limits/IsLimit.lean
CategoryTheory.Limits.IsColimit.ofCoconeEquiv_apply_desc
[]
[ 780, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 775, 1 ]
Mathlib/LinearAlgebra/Basic.lean
Submodule.inf_comap_le_comap_add
[ { "state_after": "R : Type u_1\nR₁ : Type ?u.2305340\nR₂ : Type u_2\nR₃ : Type ?u.2305346\nR₄ : Type ?u.2305349\nS : Type ?u.2305352\nK : Type ?u.2305355\nK₂ : Type ?u.2305358\nM : Type u_3\nM' : Type ?u.2305364\nM₁ : Type ?u.2305367\nM₂ : Type u_4\nM₃ : Type ?u.2305373\nM₄ : Type ?u.2305376\nN : Type ?u.230537...
[ 2553, 26 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 2547, 1 ]
Mathlib/Algebra/Module/LocalizedModule.lean
IsLocalizedModule.fromLocalizedModule'_add
[ { "state_after": "R : Type u_1\ninst✝⁷ : CommRing R\nS : Submonoid R\nM : Type u_2\nM' : Type u_3\nM'' : Type ?u.623487\ninst✝⁶ : AddCommMonoid M\ninst✝⁵ : AddCommMonoid M'\ninst✝⁴ : AddCommMonoid M''\ninst✝³ : Module R M\ninst✝² : Module R M'\ninst✝¹ : Module R M''\nf : M →ₗ[R] M'\ng : M →ₗ[R] M''\ninst✝ : IsL...
[ 751, 8 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 736, 1 ]
Mathlib/LinearAlgebra/AffineSpace/Combination.lean
Finset.centroid_eq_affineCombination_fintype
[]
[ 942, 57 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 940, 1 ]
Mathlib/MeasureTheory/MeasurableSpace.lean
measurable_findGreatest'
[]
[ 442, 52 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 439, 1 ]
Mathlib/Order/Compare.lean
cmpLE_swap
[ { "state_after": "case neg\nα✝ : Type ?u.181\nβ : Type ?u.184\nα : Type u_1\ninst✝² : LE α\ninst✝¹ : IsTotal α fun x x_1 => x ≤ x_1\ninst✝ : DecidableRel fun x x_1 => x ≤ x_1\nx y : α\nxy : ¬x ≤ y\nyx : ¬y ≤ x\n⊢ False", "state_before": "α✝ : Type ?u.181\nβ : Type ?u.184\nα : Type u_1\ninst✝² : LE α\ninst✝¹...
[ 40, 45 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 37, 1 ]
Mathlib/Data/Complex/Basic.lean
Complex.ofReal_sum
[]
[ 1343, 21 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1342, 1 ]
Mathlib/Order/Hom/CompleteLattice.lean
FrameHom.comp_assoc
[]
[ 627, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 625, 1 ]
Mathlib/Topology/UniformSpace/Cauchy.lean
le_nhds_of_cauchy_adhp
[ { "state_after": "case intro.intro\nα : Type u\nβ : Type v\ninst✝ : UniformSpace α\nf : Filter α\nx : α\nhf : Cauchy f\nadhs : ClusterPt x f\ns : Set (α × α)\nhs : s ∈ 𝓤 α\nt : Set α\nt_mem : t ∈ f\nht : t ×ˢ t ⊆ s\n⊢ ∃ t, t ∈ f ∧ t ×ˢ t ⊆ s ∧ ∃ y, (x, y) ∈ s ∧ y ∈ t", "state_before": "α : Type u\nβ : Type...
[ 132, 95 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 126, 1 ]
Mathlib/Data/Bool/Basic.lean
Bool.or_left_comm
[ { "state_after": "no goals", "state_before": "⊢ ∀ (a b c : Bool), (a || (b || c)) = (b || (a || c))", "tactic": "decide" } ]
[ 156, 79 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 156, 1 ]
Mathlib/Analysis/Asymptotics/SuperpolynomialDecay.lean
Asymptotics.superpolynomialDecay_iff_zpow_tendsto_zero
[ { "state_after": "α : Type u_1\nβ : Type u_2\nl : Filter α\nk f g g' : α → β\ninst✝² : TopologicalSpace β\ninst✝¹ : LinearOrderedField β\ninst✝ : OrderTopology β\nhk : Tendsto k l atTop\nh : SuperpolynomialDecay l k f\nz : ℤ\n⊢ Tendsto (fun a => k a ^ z * f a) l (𝓝 0)", "state_before": "α : Type u_1\nβ : T...
[ 254, 53 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 244, 1 ]
Mathlib/Analysis/NormedSpace/AddTorsorBases.lean
continuous_barycentric_coord
[]
[ 50, 46 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 49, 1 ]
Mathlib/CategoryTheory/Whiskering.lean
CategoryTheory.isoWhiskerLeft_inv
[]
[ 170, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 168, 1 ]
Mathlib/Algebra/MonoidAlgebra/Basic.lean
AddMonoidAlgebra.single_add
[]
[ 1196, 29 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1195, 1 ]
Mathlib/Algebra/Order/Ring/Lemmas.lean
mul_le_iff_le_one_left
[ { "state_after": "no goals", "state_before": "α : Type u_1\na b c d : α\ninst✝⁴ : MulOneClass α\ninst✝³ : Zero α\ninst✝² : Preorder α\ninst✝¹ : MulPosMono α\ninst✝ : MulPosMonoRev α\nb0 : 0 < b\n⊢ a * b ≤ b ↔ a * b ≤ 1 * b", "tactic": "rw [one_mul]" } ]
[ 654, 52 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 653, 1 ]
Mathlib/Order/SuccPred/Basic.lean
Order.pred_ne_pred_iff
[]
[ 834, 24 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 833, 1 ]
Mathlib/Data/Finset/Fold.lean
Finset.fold_sup_bot_singleton
[]
[ 211, 31 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 209, 1 ]
Mathlib/MeasureTheory/Integral/IntegrableOn.lean
MeasureTheory.integrable_add_of_disjoint
[ { "state_after": "case refine'_1\nα : Type u_1\nβ : Type ?u.1665526\nE : Type u_2\nF : Type ?u.1665532\ninst✝¹ : MeasurableSpace α\ninst✝ : NormedAddCommGroup E\nf✝ g✝ : α → E\ns t : Set α\nμ ν : Measure α\nl l' : Filter α\nf g : α → E\nh : Disjoint (support f) (support g)\nhf : StronglyMeasurable f\nhg : Stron...
[ 478, 82 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 473, 1 ]
Mathlib/Algebra/Algebra/Subalgebra/Basic.lean
Algebra.coe_iInf
[ { "state_after": "no goals", "state_before": "R : Type u\nA : Type v\nB : Type w\ninst✝⁴ : CommSemiring R\ninst✝³ : Semiring A\ninst✝² : Algebra R A\ninst✝¹ : Semiring B\ninst✝ : Algebra R B\nι : Sort u_1\nS : ι → Subalgebra R A\n⊢ ↑(⨅ (i : ι), S i) = ⋂ (i : ι), ↑(S i)", "tactic": "simp [iInf]" } ]
[ 877, 14 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 876, 1 ]
src/lean/Init/Data/Nat/Basic.lean
Nat.mul_left_comm
[ { "state_after": "no goals", "state_before": "n m k : Nat\n⊢ n * (m * k) = m * (n * k)", "tactic": "rw [← Nat.mul_assoc, Nat.mul_comm n m, Nat.mul_assoc]" } ]
[ 203, 56 ]
d5348dfac847a56a4595fb6230fd0708dcb4e7e9
https://github.com/leanprover/lean4
[ 202, 11 ]
Mathlib/Order/SuccPred/Limit.lean
Order.IsSuccLimit.succ_ne
[ { "state_after": "α : Type u_1\ninst✝² : Preorder α\ninst✝¹ : SuccOrder α\ninst✝ : NoMaxOrder α\nb : α\nh : IsSuccLimit (succ b)\n⊢ False", "state_before": "α : Type u_1\ninst✝² : Preorder α\na : α\ninst✝¹ : SuccOrder α\ninst✝ : NoMaxOrder α\nh : IsSuccLimit a\nb : α\n⊢ succ b ≠ a", "tactic": "rintro rf...
[ 89, 28 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 87, 1 ]
Mathlib/Data/Finset/Basic.lean
Finset.sdiff_inter_self_right
[]
[ 2101, 27 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 2100, 1 ]
Mathlib/CategoryTheory/Limits/IsLimit.lean
CategoryTheory.Limits.IsColimit.comp_coconePointUniqueUpToIso_inv
[]
[ 671, 30 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 669, 1 ]
Mathlib/Data/Finset/Lattice.lean
Finset.iInf_coe
[]
[ 1927, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1926, 1 ]
Mathlib/CategoryTheory/Limits/Shapes/CommSq.lean
CategoryTheory.IsPushout.inl_isoPushout_inv
[ { "state_after": "C : Type u₁\ninst✝¹ : Category C\nZ X Y P : C\nf : Z ⟶ X\ng : Z ⟶ Y\ninl : X ⟶ P\ninr : Y ⟶ P\nh : IsPushout f g inl inr\ninst✝ : HasPushout f g\n⊢ pushout.inl ≫\n (colimit.isoColimitCocone\n { cocone := PushoutCocone.mk inl inr (_ : f ≫ inl = g ≫ inr), isColimit := isColimit h }...
[ 423, 7 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 420, 1 ]
Mathlib/Data/Nat/ModEq.lean
Nat.ModEq.add_right_cancel
[ { "state_after": "m n a b c d : ℕ\nh₁ : c ≡ d [MOD n]\nh₂ : c + a ≡ d + b [MOD n]\n⊢ a ≡ b [MOD n]", "state_before": "m n a b c d : ℕ\nh₁ : c ≡ d [MOD n]\nh₂ : a + c ≡ b + d [MOD n]\n⊢ a ≡ b [MOD n]", "tactic": "rw [add_comm a, add_comm b] at h₂" }, { "state_after": "no goals", "state_before...
[ 169, 30 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 166, 11 ]
Mathlib/CategoryTheory/GlueData.lean
CategoryTheory.GlueData.types_π_surjective
[]
[ 235, 42 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 234, 1 ]
Mathlib/RingTheory/Ideal/Operations.lean
Ideal.comap_bot_of_injective
[]
[ 1631, 55 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1630, 1 ]
Mathlib/Topology/Sheaves/PUnit.lean
TopCat.Presheaf.isSheaf_iff_isTerminal_of_indiscrete
[]
[ 52, 51 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 49, 1 ]
Mathlib/Geometry/Euclidean/Angle/Unoriented/Affine.lean
EuclideanGeometry.angle_eq_zero_of_angle_eq_pi_right
[ { "state_after": "V : Type u_1\nP : Type u_2\ninst✝³ : NormedAddCommGroup V\ninst✝² : InnerProductSpace ℝ V\ninst✝¹ : MetricSpace P\ninst✝ : NormedAddTorsor V P\np1 p2 p3 : P\nh : ∠ p3 p2 p1 = π\n⊢ ∠ p2 p3 p1 = 0", "state_before": "V : Type u_1\nP : Type u_2\ninst✝³ : NormedAddCommGroup V\ninst✝² : InnerPro...
[ 176, 44 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 173, 1 ]
Mathlib/Topology/MetricSpace/Basic.lean
ball_pi
[ { "state_after": "case h\nα : Type u\nβ : Type v\nX : Type ?u.398898\nι : Type ?u.398901\ninst✝² : PseudoMetricSpace α\nπ : β → Type u_1\ninst✝¹ : Fintype β\ninst✝ : (b : β) → PseudoMetricSpace (π b)\nx : (b : β) → π b\nr : ℝ\nhr : 0 < r\np : (b : β) → π b\n⊢ p ∈ ball x r ↔ p ∈ Set.pi Set.univ fun b => ball (x ...
[ 2052, 27 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 2049, 1 ]
Mathlib/Data/Set/Countable.lean
Set.countable_isTop
[]
[ 249, 29 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 248, 1 ]
Mathlib/GroupTheory/Submonoid/Pointwise.lean
Submonoid.inv_inf
[]
[ 180, 38 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 179, 1 ]
Mathlib/Data/Set/Intervals/Basic.lean
Set.right_mem_Ioo
[ { "state_after": "no goals", "state_before": "α : Type u_1\nβ : Type ?u.4756\ninst✝ : Preorder α\na a₁ a₂ b b₁ b₂ c x : α\n⊢ b ∈ Ioo a b ↔ False", "tactic": "simp [lt_irrefl]" } ]
[ 208, 67 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 208, 1 ]
src/lean/Init/Prelude.lean
Nat.zero_lt_succ
[]
[ 1587, 27 ]
d5348dfac847a56a4595fb6230fd0708dcb4e7e9
https://github.com/leanprover/lean4
[ 1586, 1 ]
Mathlib/Data/List/Sigma.lean
List.dlookup_eq_none
[ { "state_after": "no goals", "state_before": "α : Type u\nβ : α → Type v\nl✝ l₁ l₂ : List (Sigma β)\ninst✝ : DecidableEq α\na : α\nl : List (Sigma β)\n⊢ dlookup a l = none ↔ ¬a ∈ keys l", "tactic": "simp [← dlookup_isSome, Option.isNone_iff_eq_none]" } ]
[ 202, 53 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 201, 1 ]
Mathlib/Analysis/BoxIntegral/Basic.lean
BoxIntegral.Integrable.dist_integralSum_sum_integral_le_of_memBaseSet_of_iUnion_eq
[ { "state_after": "ι : Type u\nE : Type v\nF : Type w\ninst✝⁵ : NormedAddCommGroup E\ninst✝⁴ : NormedSpace ℝ E\ninst✝³ : NormedAddCommGroup F\ninst✝² : NormedSpace ℝ F\nI J : Box ι\nπ : TaggedPrepartition I\ninst✝¹ : Fintype ι\nl : IntegrationParams\nf g : (ι → ℝ) → E\nvol : ι →ᵇᵃ[⊤] E →L[ℝ] F\ny y' : F\nc c₁ c₂...
[ 609, 46 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 566, 1 ]
Mathlib/NumberTheory/Padics/Hensel.lean
soln_dist_to_a
[]
[ 413, 93 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 412, 9 ]