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list
Mathlib/Data/Matrix/Block.lean
Matrix.blockDiagonal'_injective
[]
[ 859, 59 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 857, 1 ]
Mathlib/Data/List/Rotate.lean
List.rotate'_mod
[ { "state_after": "no goals", "state_before": "α : Type u\nl : List α\nn : ℕ\n⊢ rotate' l (n % length l) = rotate' (rotate' l (n % length l)) (length (rotate' l (n % length l)) * (n / length l))", "tactic": "rw [rotate'_length_mul]" }, { "state_after": "no goals", "state_before": "α : Type u\...
[ 108, 80 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 103, 1 ]
Mathlib/Algebra/Star/Pointwise.lean
Set.star_inv
[ { "state_after": "case h\nα : Type u_1\ns✝ t : Set α\na : α\ninst✝¹ : Group α\ninst✝ : StarSemigroup α\ns : Set α\nx✝ : α\n⊢ x✝ ∈ s⁻¹⋆ ↔ x✝ ∈ s⋆⁻¹", "state_before": "α : Type u_1\ns✝ t : Set α\na : α\ninst✝¹ : Group α\ninst✝ : StarSemigroup α\ns : Set α\n⊢ s⁻¹⋆ = s⋆⁻¹", "tactic": "ext" }, { "sta...
[ 142, 42 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 140, 11 ]
Mathlib/MeasureTheory/Integral/SetIntegral.lean
MeasureTheory.Integrable.simpleFunc_mul'
[ { "state_after": "α : Type ?u.5138263\nβ : Type u_1\nE : Type ?u.5138269\nF : Type ?u.5138272\ninst✝¹ : MeasurableSpace α\nι : Type ?u.5138278\ninst✝ : NormedAddCommGroup E\nf : β → ℝ\nm m0 : MeasurableSpace β\nμ : Measure β\nhm : m ≤ m0\ng : SimpleFunc β ℝ\nhf : Integrable f\n⊢ Integrable (↑(SimpleFunc.toLarge...
[ 1344, 92 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1342, 1 ]
Mathlib/Data/IsROrC/Basic.lean
IsROrC.continuous_conj
[]
[ 979, 18 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 978, 1 ]
Mathlib/Data/Real/GoldenRatio.lean
inv_goldConj
[ { "state_after": "⊢ -ψ = φ⁻¹", "state_before": "⊢ ψ⁻¹ = -φ", "tactic": "rw [inv_eq_iff_eq_inv, ← neg_inv, ← neg_eq_iff_eq_neg]" }, { "state_after": "no goals", "state_before": "⊢ -ψ = φ⁻¹", "tactic": "exact inv_gold.symm" } ]
[ 59, 22 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 57, 1 ]
Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean
MeasureTheory.AEStronglyMeasurable.const_mul
[]
[ 1304, 36 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1302, 11 ]
Mathlib/Topology/MetricSpace/Basic.lean
Metric.frontier_closedBall_subset_sphere
[]
[ 1890, 79 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1889, 1 ]
Mathlib/Algebra/Order/Ring/Canonical.lean
CanonicallyOrderedCommSemiring.mul_pos
[ { "state_after": "no goals", "state_before": "α : Type u\nβ : Type ?u.21641\ninst✝ : CanonicallyOrderedCommSemiring α\na b : α\n⊢ 0 < a * b ↔ 0 < a ∧ 0 < b", "tactic": "simp only [pos_iff_ne_zero, ne_eq, mul_eq_zero, not_or]" } ]
[ 120, 58 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 119, 1 ]
Mathlib/Algebra/Order/Monoid/Lemmas.lean
mul_lt_mul_iff_left
[]
[ 110, 36 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 107, 1 ]
Mathlib/CategoryTheory/EqToHom.lean
CategoryTheory.Functor.congr_inv_of_congr_hom
[ { "state_after": "no goals", "state_before": "C : Type u₁\ninst✝¹ : Category C\nD : Type u₂\ninst✝ : Category D\nF G : C ⥤ D\nX Y : C\ne : X ≅ Y\nhX : F.obj X = G.obj X\nhY : F.obj Y = G.obj Y\n⊢ F.obj X = G.obj X", "tactic": "rw [hX]" }, { "state_after": "no goals", "state_before": "C : Typ...
[ 219, 20 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 214, 1 ]
Mathlib/Data/Multiset/Fintype.lean
Multiset.prod_toEnumFinset
[ { "state_after": "α : Type u_2\ninst✝¹ : DecidableEq α\nm✝ : Multiset α\nβ : Type u_1\ninst✝ : CommMonoid β\nm : Multiset α\nf : α → ℕ → β\n⊢ ∏ x in toEnumFinset m, f x.fst x.snd = ∏ x : { x // x ∈ toEnumFinset m }, f (↑x).fst (↑x).snd\n\nα : Type u_2\ninst✝¹ : DecidableEq α\nm✝ : Multiset α\nβ : Type u_1\ninst...
[ 284, 8 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 279, 1 ]
Mathlib/Data/Finset/NAry.lean
Finset.image_uncurry_product
[ { "state_after": "no goals", "state_before": "α : Type u_1\nα' : Type ?u.67520\nβ : Type u_2\nβ' : Type ?u.67526\nγ : Type u_3\nγ' : Type ?u.67532\nδ : Type ?u.67535\nδ' : Type ?u.67538\nε : Type ?u.67541\nε' : Type ?u.67544\nζ : Type ?u.67547\nζ' : Type ?u.67550\nν : Type ?u.67553\ninst✝⁷ : DecidableEq α'\...
[ 347, 87 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 346, 1 ]
Mathlib/Analysis/Calculus/FDerivAnalytic.lean
AnalyticOn.iteratedFDeriv
[ { "state_after": "case zero\n𝕜 : Type u_2\ninst✝⁵ : NontriviallyNormedField 𝕜\nE : Type u_3\ninst✝⁴ : NormedAddCommGroup E\ninst✝³ : NormedSpace 𝕜 E\nF : Type u_1\ninst✝² : NormedAddCommGroup F\ninst✝¹ : NormedSpace 𝕜 F\np : FormalMultilinearSeries 𝕜 E F\nr : ℝ≥0∞\nf : E → F\nx : E\ns : Set E\ninst✝ : Comp...
[ 143, 8 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 130, 1 ]
Mathlib/LinearAlgebra/LinearIndependent.lean
linearIndependent_of_subsingleton
[]
[ 251, 62 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 250, 1 ]
Mathlib/Topology/LocalHomeomorph.lean
LocalHomeomorph.coe_trans_symm
[]
[ 809, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 808, 1 ]
Mathlib/LinearAlgebra/Finrank.lean
FiniteDimensional.nontrivial_of_finrank_pos
[]
[ 103, 55 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 102, 1 ]
Mathlib/Order/Filter/AtTopBot.lean
Filter.tendsto_atBot_of_add_const_right
[]
[ 710, 93 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 708, 1 ]
Mathlib/AlgebraicGeometry/PrimeSpectrum/Basic.lean
PrimeSpectrum.mem_zeroLocus
[]
[ 142, 10 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 141, 1 ]
Mathlib/Data/Polynomial/Degree/Definitions.lean
Polynomial.degree_X_sub_C
[ { "state_after": "no goals", "state_before": "R : Type u\nS : Type v\na✝ b c d : R\nn m : ℕ\ninst✝¹ : Ring R\ninst✝ : Nontrivial R\na : R\n⊢ degree (X - ↑C a) = 1", "tactic": "rw [sub_eq_add_neg, ← map_neg C a, degree_X_add_C]" } ]
[ 1468, 53 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1467, 1 ]
Mathlib/Data/QPF/Univariate/Basic.lean
Qpf.Cofix.bisim_aux
[ { "state_after": "F : Type u → Type u\ninst✝ : Functor F\nq : Qpf F\nr : Cofix F → Cofix F → Prop\nh' : ∀ (x : Cofix F), r x x\nh : ∀ (x y : Cofix F), r x y → Quot.mk r <$> dest x = Quot.mk r <$> dest y\nx : Cofix F\n⊢ ∀ (y : Cofix F), r x y → x = y", "state_before": "F : Type u → Type u\ninst✝ : Functor F\...
[ 469, 26 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 435, 9 ]
Mathlib/Data/Real/ConjugateExponents.lean
Real.IsConjugateExponent.ne_zero
[]
[ 56, 42 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 56, 1 ]
Mathlib/CategoryTheory/Limits/Shapes/CommSq.lean
CategoryTheory.IsPushout.of_hasBinaryCoproduct'
[]
[ 401, 57 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 399, 1 ]
Mathlib/Data/Nat/Bitwise.lean
Nat.testBit_two_pow_self
[ { "state_after": "no goals", "state_before": "n : ℕ\n⊢ testBit (2 ^ n) n = true", "tactic": "rw [testBit, shiftr_eq_div_pow, Nat.div_self (pow_pos (α := ℕ) zero_lt_two n), bodd_one]" } ]
[ 143, 91 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 142, 1 ]
Mathlib/Analysis/Convex/Exposed.lean
exposedPoints_empty
[]
[ 218, 42 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 217, 1 ]
Mathlib/Data/Nat/Count.lean
Nat.count_le_card
[ { "state_after": "p : ℕ → Prop\ninst✝ : DecidablePred p\nhp : Set.Finite (setOf p)\nn : ℕ\n⊢ card (filter p (range n)) ≤ card (Set.Finite.toFinset hp)", "state_before": "p : ℕ → Prop\ninst✝ : DecidablePred p\nhp : Set.Finite (setOf p)\nn : ℕ\n⊢ count p n ≤ card (Set.Finite.toFinset hp)", "tactic": "rw [...
[ 145, 74 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 143, 1 ]
Mathlib/Topology/Instances/EReal.lean
EReal.tendsto_coe
[]
[ 68, 38 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 66, 1 ]
Mathlib/SetTheory/Cardinal/Ordinal.lean
Cardinal.add_eq_max'
[ { "state_after": "no goals", "state_before": "a b : Cardinal\nha : ℵ₀ ≤ b\n⊢ a + b = max a b", "tactic": "rw [add_comm, max_comm, add_eq_max ha]" } ]
[ 736, 41 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 735, 1 ]
Mathlib/Combinatorics/SimpleGraph/Regularity/Uniform.lean
Finpartition.IsUniform.mono
[ { "state_after": "no goals", "state_before": "α : Type u_1\n𝕜 : Type u_2\ninst✝² : LinearOrderedField 𝕜\ninst✝¹ : DecidableEq α\nA : Finset α\nP : Finpartition A\nG : SimpleGraph α\ninst✝ : DecidableRel G.Adj\nε✝ ε ε' : 𝕜\nhP : IsUniform P G ε\nh : ε ≤ ε'\n⊢ ↑(card P.parts * (card P.parts - 1)) * ε ≤ ↑(c...
[ 252, 95 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 251, 1 ]
Mathlib/Analysis/InnerProductSpace/Basic.lean
InnerProductSpace.Core.inner_neg_left
[ { "state_after": "𝕜 : Type u_1\nE : Type ?u.582097\nF : Type u_2\ninst✝² : IsROrC 𝕜\ninst✝¹ : AddCommGroup F\ninst✝ : Module 𝕜 F\nc : Core 𝕜 F\nx y : F\n⊢ ↑(starRingEnd 𝕜) (-1) * inner x y = -inner x y", "state_before": "𝕜 : Type u_1\nE : Type ?u.582097\nF : Type u_2\ninst✝² : IsROrC 𝕜\ninst✝¹ : AddC...
[ 285, 7 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 283, 1 ]
Mathlib/GroupTheory/GroupAction/SubMulAction.lean
SubMulAction.val_smul
[]
[ 185, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 184, 1 ]
Mathlib/Topology/ContinuousOn.lean
ContinuousOn.mono_rng
[]
[ 642, 29 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 639, 1 ]
Mathlib/Data/Nat/ModEq.lean
Nat.odd_mul_odd
[ { "state_after": "no goals", "state_before": "m✝ n✝ a b c d n m : ℕ\n⊢ n % 2 = 1 → m % 2 = 1 → n * m % 2 = 1", "tactic": "simpa [Nat.ModEq] using @ModEq.mul 2 n 1 m 1" } ]
[ 497, 47 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 496, 1 ]
Mathlib/Data/Set/Basic.lean
Set.empty_inter
[]
[ 922, 31 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 921, 1 ]
Mathlib/Topology/UniformSpace/Basic.lean
toTopologicalSpace_mono
[]
[ 1333, 39 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1331, 1 ]
Mathlib/Data/List/Basic.lean
List.splitOnP_eq_single
[ { "state_after": "no goals", "state_before": "ι : Type ?u.302293\nα : Type u\nβ : Type v\nγ : Type w\nδ : Type x\nl₁ l₂ : List α\np : α → Bool\nxs ys : List α\nls : List (List α)\nf : List α → List α\nh : ∀ (x : α), x ∈ xs → ¬p x = true\n⊢ splitOnP p xs = [xs]", "tactic": "induction xs with\n| nil => rf...
[ 2972, 8 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 2966, 1 ]
Mathlib/RingTheory/Noetherian.lean
set_has_maximal_iff_noetherian
[ { "state_after": "no goals", "state_before": "R : Type u_2\nM : Type u_1\nP : Type ?u.118511\nN : Type w\ninst✝⁶ : Semiring R\ninst✝⁵ : AddCommMonoid M\ninst✝⁴ : Module R M\ninst✝³ : AddCommMonoid N\ninst✝² : Module R N\ninst✝¹ : AddCommMonoid P\ninst✝ : Module R P\n⊢ (∀ (a : Set (Submodule R M)), Set.Nonem...
[ 349, 73 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 347, 1 ]
Mathlib/MeasureTheory/Integral/IntegrableOn.lean
MeasureTheory.IntegrableOn.indicator
[]
[ 278, 28 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 276, 1 ]
Mathlib/Algebra/Associated.lean
Associates.mk_le_mk_iff_dvd_iff
[]
[ 944, 44 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 943, 1 ]
Mathlib/RingTheory/Polynomial/Bernstein.lean
bernsteinPolynomial.variance
[ { "state_after": "R : Type u_1\ninst✝ : CommRing R\nn : ℕ\np :\n ∑ ν in Finset.range (n + 1), (ν * (ν - 1)) • bernsteinPolynomial R n ν +\n (↑1 - (2 * n) • X) * ∑ ν in Finset.range (n + 1), ν • bernsteinPolynomial R n ν +\n n ^ 2 • X ^ 2 * ∑ ν in Finset.range (n + 1), bernsteinPolynomial R n ν =\n ...
[ 417, 17 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 391, 1 ]
Mathlib/LinearAlgebra/Matrix/MvPolynomial.lean
Matrix.mvPolynomialX_map_eval₂
[]
[ 56, 76 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 54, 1 ]
Mathlib/Topology/PathConnected.lean
Path.extend_one
[ { "state_after": "no goals", "state_before": "X : Type u_1\nY : Type ?u.157058\ninst✝¹ : TopologicalSpace X\ninst✝ : TopologicalSpace Y\nx y z : X\nι : Type ?u.157073\nγ : Path x y\n⊢ extend γ 1 = y", "tactic": "simp" } ]
[ 274, 47 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 274, 1 ]
Mathlib/MeasureTheory/Integral/IntegrableOn.lean
integrableOn_Icc_iff_integrableOn_Ico
[ { "state_after": "α : Type u_1\nβ : Type ?u.4109768\nE : Type u_2\nF : Type ?u.4109774\ninst✝⁴ : MeasurableSpace α\ninst✝³ : NormedAddCommGroup E\ninst✝² : PartialOrder α\ninst✝¹ : MeasurableSingletonClass α\nf : α → E\nμ : MeasureTheory.Measure α\na b : α\ninst✝ : NoAtoms μ\n⊢ 0 ≠ ⊤", "state_before": "α : ...
[ 684, 96 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 682, 1 ]
Mathlib/Algebra/GroupPower/Lemmas.lean
Int.ofAdd_mul
[]
[ 1228, 28 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1227, 1 ]
Mathlib/Topology/Filter.lean
Filter.nhds_eq'
[]
[ 84, 54 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 83, 1 ]
Mathlib/Data/Finset/Basic.lean
Finset.coe_sort_coe
[]
[ 289, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 288, 1 ]
Mathlib/Algebra/Order/ToIntervalMod.lean
toIocDiv_zsmul_sub_toIocMod
[ { "state_after": "no goals", "state_before": "α : Type u_1\ninst✝ : LinearOrderedAddCommGroup α\nhα : Archimedean α\np : α\nhp : 0 < p\na✝ b✝ c : α\nn : ℤ\na b : α\n⊢ toIocDiv hp a b • p + toIocMod hp a b = b", "tactic": "rw [add_comm, toIocMod_add_toIocDiv_zsmul]" } ]
[ 171, 45 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 170, 1 ]
Mathlib/Algebra/GroupPower/Basic.lean
pow_sub
[ { "state_after": "no goals", "state_before": "α : Type ?u.95648\nM : Type u\nN : Type v\nG : Type w\nH : Type x\nA : Type y\nB : Type z\nR : Type u₁\nS : Type u₂\ninst✝³ : Group G\ninst✝² : Group H\ninst✝¹ : AddGroup A\ninst✝ : AddGroup B\na : G\nm n : ℕ\nh : n ≤ m\n⊢ a ^ (m - n) * a ^ n = a ^ m", "tact...
[ 425, 66 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 424, 1 ]
Mathlib/Algebra/Hom/Group.lean
MonoidHom.cancel_left
[ { "state_after": "no goals", "state_before": "α : Type ?u.169579\nβ : Type ?u.169582\nM : Type u_1\nN : Type u_2\nP : Type u_3\nG : Type ?u.169594\nH : Type ?u.169597\nF : Type ?u.169600\ninst✝² : MulOneClass M\ninst✝¹ : MulOneClass N\ninst✝ : MulOneClass P\ng : N →* P\nf₁ f₂ : M →* N\nhg : Function.Injecti...
[ 1207, 22 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1204, 1 ]
Mathlib/SetTheory/Cardinal/Basic.lean
Cardinal.mk_le_mk_mul_of_mk_preimage_le
[ { "state_after": "no goals", "state_before": "α β : Type u\nc : Cardinal\nf : α → β\nhf : ∀ (b : β), (#↑(f ⁻¹' {b})) ≤ c\n⊢ (#α) ≤ (#β) * c", "tactic": "simpa only [← mk_congr (@Equiv.sigmaFiberEquiv α β f), mk_sigma, ← sum_const'] using\n sum_le_sum _ _ hf" } ]
[ 915, 22 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 912, 1 ]
Mathlib/RingTheory/MvPolynomial/WeightedHomogeneous.lean
MvPolynomial.isWeightedHomogeneous_C
[]
[ 219, 52 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 217, 1 ]
Mathlib/Analysis/Complex/CauchyIntegral.lean
Complex.integral_boundary_rect_of_hasFDerivAt_real_off_countable
[ { "state_after": "E : Type u\ninst✝² : NormedAddCommGroup E\ninst✝¹ : NormedSpace ℂ E\ninst✝ : CompleteSpace E\nf : ℂ → E\nf' : ℂ → ℂ →L[ℝ] E\nz w : ℂ\ns : Set ℂ\nhs : Set.Countable s\nHc : ContinuousOn f ([[z.re, w.re]] ×ℂ [[z.im, w.im]])\nHd :\n ∀ (x : ℂ), x ∈ Ioo (min z.re w.re) (max z.re w.re) ×ℂ Ioo (min ...
[ 206, 32 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 169, 1 ]
Mathlib/Order/CompleteLattice.lean
Function.Surjective.iSup_comp
[ { "state_after": "α : Type u_3\nβ : Type ?u.60572\nβ₂ : Type ?u.60575\nγ : Type ?u.60578\nι : Sort u_1\nι' : Sort u_2\nκ : ι → Sort ?u.60589\nκ' : ι' → Sort ?u.60594\ninst✝ : SupSet α\nf✝ g✝ : ι → α\nf : ι → ι'\nhf : Surjective f\ng : ι' → α\n⊢ sSup (range fun x => g (f x)) = sSup (range fun y => g y)", "st...
[ 641, 24 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 637, 1 ]
Mathlib/RingTheory/GradedAlgebra/Radical.lean
Ideal.IsHomogeneous.radical_eq
[ { "state_after": "ι : Type u_2\nσ : Type u_3\nA : Type u_1\ninst✝⁴ : CommRing A\ninst✝³ : LinearOrderedCancelAddCommMonoid ι\ninst✝² : SetLike σ A\ninst✝¹ : AddSubmonoidClass σ A\n𝒜 : ι → σ\ninst✝ : GradedRing 𝒜\nI : Ideal A\nhI : IsHomogeneous 𝒜 I\n⊢ InfSet.sInf {J | I ≤ J ∧ IsPrime J} = InfSet.sInf {J | Is...
[ 178, 94 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 169, 1 ]
Mathlib/NumberTheory/Zsqrtd/Basic.lean
Zsqrtd.zero_re
[]
[ 71, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 70, 1 ]
Mathlib/Data/Ordmap/Ordset.lean
Ordnode.Bounded.dual_iff
[ { "state_after": "α : Type u_1\ninst✝ : Preorder α\nt : Ordnode α\no₁ : WithBot α\no₂ : WithTop α\nh : Bounded (Ordnode.dual t) o₂ o₁\nthis : Bounded (Ordnode.dual (Ordnode.dual t)) o₁ o₂\n⊢ Bounded t o₁ o₂", "state_before": "α : Type u_1\ninst✝ : Preorder α\nt : Ordnode α\no₁ : WithBot α\no₂ : WithTop α\nh...
[ 913, 83 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 910, 1 ]
Mathlib/SetTheory/Ordinal/Arithmetic.lean
Ordinal.IsNormal.refl
[]
[ 472, 47 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 471, 1 ]
Mathlib/LinearAlgebra/Matrix/ToLin.lean
LinearMap.toMatrixAlgEquiv_toLinAlgEquiv
[ { "state_after": "no goals", "state_before": "R : Type u_2\ninst✝⁹ : CommSemiring R\nl : Type ?u.2299745\nm : Type ?u.2299748\nn : Type u_1\ninst✝⁸ : Fintype n\ninst✝⁷ : Fintype m\ninst✝⁶ : DecidableEq n\nM₁ : Type u_3\nM₂ : Type ?u.2299772\ninst✝⁵ : AddCommMonoid M₁\ninst✝⁴ : AddCommMonoid M₂\ninst✝³ : Mod...
[ 743, 62 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 741, 1 ]
Mathlib/Algebra/Lie/IdealOperations.lean
LieSubmodule.mono_lie_right
[]
[ 167, 33 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 166, 1 ]
Mathlib/Topology/DenseEmbedding.lean
DenseInducing.continuous
[]
[ 58, 27 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 57, 11 ]
Mathlib/Algebra/Hom/Iterate.lean
AddMonoidHom.iterate_map_smul
[]
[ 103, 43 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 102, 1 ]
Mathlib/Order/MinMax.lean
max_left_commutative
[]
[ 302, 16 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 301, 1 ]
Mathlib/Analysis/Convex/Join.lean
subset_convexJoin_left
[]
[ 114, 60 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 112, 1 ]
Mathlib/Algebra/Module/Submodule/Basic.lean
Submodule.sub_mem
[]
[ 559, 10 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 558, 11 ]
Mathlib/ModelTheory/Syntax.lean
FirstOrder.Language.BoundedFormula.IsPrenex.relabel
[ { "state_after": "no goals", "state_before": "L : Language\nL' : Language\nM : Type w\nN : Type ?u.115821\nP : Type ?u.115824\ninst✝² : Structure L M\ninst✝¹ : Structure L N\ninst✝ : Structure L P\nα : Type u'\nβ : Type v'\nγ : Type ?u.115852\nn l : ℕ\nφ✝¹ ψ : BoundedFormula L α l\nθ : BoundedFormula L α (N...
[ 778, 30 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 775, 1 ]
Mathlib/Data/List/Basic.lean
List.reverse_surjective
[]
[ 620, 32 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 619, 1 ]
Mathlib/RingTheory/Valuation/ValuationRing.lean
ValuationRing.le_total
[ { "state_after": "case mk\nA : Type u\ninst✝⁵ : CommRing A\nK : Type v\ninst✝⁴ : Field K\ninst✝³ : Algebra A K\ninst✝² : IsDomain A\ninst✝¹ : ValuationRing A\ninst✝ : IsFractionRing A K\na✝ b : ValueGroup A K\na : K\n⊢ Quot.mk Setoid.r a ≤ b ∨ b ≤ Quot.mk Setoid.r a", "state_before": "A : Type u\ninst✝⁵ : C...
[ 127, 54 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 111, 11 ]
Mathlib/SetTheory/Cardinal/Basic.lean
Cardinal.three_le
[ { "state_after": "case this\nα✝ β : Type u\nα : Type u_1\nh : 3 ≤ (#α)\nx y : α\n⊢ ↑3 ≤ (#α)\n\nα✝ β : Type u\nα : Type u_1\nh : 3 ≤ (#α)\nx y : α\nthis : ↑3 ≤ (#α)\n⊢ ∃ z, z ≠ x ∧ z ≠ y", "state_before": "α✝ β : Type u\nα : Type u_1\nh : 3 ≤ (#α)\nx y : α\n⊢ ∃ z, z ≠ x ∧ z ≠ y", "tactic": "have : ↑(3 :...
[ 2270, 28 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 2266, 1 ]
Mathlib/Data/Finsupp/Defs.lean
Finsupp.single_of_embDomain_single
[ { "state_after": "α : Type u_1\nβ : Type u_3\nγ : Type ?u.245637\nι : Type ?u.245640\nM : Type u_2\nM' : Type ?u.245646\nN : Type ?u.245649\nP : Type ?u.245652\nG : Type ?u.245655\nH : Type ?u.245658\nR : Type ?u.245661\nS : Type ?u.245664\ninst✝¹ : Zero M\ninst✝ : Zero N\nl : α →₀ M\nf : α ↪ β\na : β\nb : M\nh...
[ 910, 16 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 894, 1 ]
Mathlib/Data/Set/Image.lean
Set.image_perm
[ { "state_after": "case h\nα : Type u_1\nβ : Type ?u.57571\nγ : Type ?u.57574\nι : Sort ?u.57577\nι' : Sort ?u.57580\nf : α → β\ns✝ t s : Set α\nσ : Equiv.Perm α\nhs : {a | ↑σ a ≠ a} ⊆ s\ni : α\n⊢ i ∈ ↑σ '' s ↔ i ∈ s", "state_before": "α : Type u_1\nβ : Type ?u.57571\nγ : Type ?u.57574\nι : Sort ?u.57577\nι'...
[ 608, 64 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 601, 1 ]
Mathlib/Data/Finset/PImage.lean
Part.mem_toFinset
[ { "state_after": "no goals", "state_before": "α : Type u_1\nβ : Type ?u.68\no : Part α\ninst✝ : Decidable o.Dom\nx : α\n⊢ x ∈ toFinset o ↔ x ∈ o", "tactic": "simp [toFinset]" } ]
[ 38, 18 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 37, 1 ]
Mathlib/Probability/Kernel/Basic.lean
ProbabilityTheory.kernel.deterministic_apply
[]
[ 356, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 354, 1 ]
Mathlib/Data/Fin/VecNotation.lean
Matrix.add_cons
[ { "state_after": "case h\nα : Type u\nm n o : ℕ\nm' : Type ?u.61403\nn' : Type ?u.61406\no' : Type ?u.61409\ninst✝ : Add α\nv : Fin (Nat.succ n) → α\ny : α\nw : Fin n → α\ni : Fin (Nat.succ n)\n⊢ (v + vecCons y w) i = vecCons (vecHead v + y) (vecTail v + w) i", "state_before": "α : Type u\nm n o : ℕ\nm' : T...
[ 467, 54 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 464, 1 ]
Mathlib/Data/Multiset/Fold.lean
Multiset.max_le_of_forall_le
[ { "state_after": "case h\nα✝ : Type ?u.20522\nβ : Type ?u.20525\nα : Type u_1\ninst✝ : CanonicallyLinearOrderedAddMonoid α\nn : α\na✝ : List α\nh : ∀ (x : α), x ∈ Quotient.mk (List.isSetoid α) a✝ → x ≤ n\n⊢ fold max ⊥ (Quotient.mk (List.isSetoid α) a✝) ≤ n", "state_before": "α✝ : Type ?u.20522\nβ : Type ?u....
[ 133, 45 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 130, 1 ]
Mathlib/LinearAlgebra/StdBasis.lean
LinearMap.stdBasis_eq_pi_diag
[ { "state_after": "case h.h\nR : Type u_3\nι : Type u_1\ninst✝³ : Semiring R\nφ : ι → Type u_2\ninst✝² : (i : ι) → AddCommMonoid (φ i)\ninst✝¹ : (i : ι) → Module R (φ i)\ninst✝ : DecidableEq ι\ni : ι\nx : φ i\nj : ι\n⊢ ↑(stdBasis R φ i) x j = ↑(pi (diag i)) x j", "state_before": "R : Type u_3\nι : Type u_1\n...
[ 82, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 78, 1 ]
Mathlib/Algebra/Lie/Subalgebra.lean
LieHom.mem_range
[]
[ 318, 22 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 317, 1 ]
Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean
Real.Angle.tan_eq_sin_div_cos
[]
[ 780, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 779, 1 ]
Mathlib/Geometry/Euclidean/Angle/Unoriented/Basic.lean
InnerProductGeometry.angle_smul_left_of_pos
[ { "state_after": "no goals", "state_before": "V : Type u_1\ninst✝¹ : NormedAddCommGroup V\ninst✝ : InnerProductSpace ℝ V\nx✝ y✝ x y : V\nr : ℝ\nhr : 0 < r\n⊢ angle (r • x) y = angle x y", "tactic": "rw [angle_comm, angle_smul_right_of_pos y x hr, angle_comm]" } ]
[ 164, 62 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 163, 1 ]
Mathlib/LinearAlgebra/Alternating.lean
AlternatingMap.domDomCongr_refl
[]
[ 740, 19 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 739, 1 ]
Mathlib/MeasureTheory/Integral/Bochner.lean
MeasureTheory.L1.SimpleFunc.integral_L1_eq_integral
[ { "state_after": "α : Type u_1\nE : Type u_2\nF : Type ?u.423076\n𝕜 : Type ?u.423079\ninst✝⁷ : NormedAddCommGroup E\ninst✝⁶ : NormedAddCommGroup F\nm : MeasurableSpace α\nμ : Measure α\ninst✝⁵ : NormedSpace ℝ E\ninst✝⁴ : NontriviallyNormedField 𝕜\ninst✝³ : NormedSpace 𝕜 E\ninst✝² : SMulCommClass ℝ 𝕜 E\ninst...
[ 692, 75 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 689, 1 ]
Mathlib/Data/Polynomial/Div.lean
Polynomial.degree_modByMonic_le
[ { "state_after": "R : Type u\nS : Type v\nT : Type w\nA : Type z\na b : R\nn : ℕ\ninst✝ : Ring R\np✝ q✝ p q : R[X]\nhq : Monic q\n✝ : Nontrivial R\n⊢ degree (p %ₘ q) ≤ degree q", "state_before": "R : Type u\nS : Type v\nT : Type w\nA : Type z\na b : R\nn : ℕ\ninst✝ : Ring R\np✝ q✝ p q : R[X]\nhq : Monic q\n...
[ 222, 39 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 220, 1 ]
Mathlib/LinearAlgebra/AffineSpace/AffineSubspace.lean
smul_vsub_vadd_mem_affineSpan_pair
[]
[ 1326, 46 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1324, 1 ]
Mathlib/RingTheory/AlgebraicIndependent.lean
AlgebraicIndependent.repr_ker
[]
[ 416, 64 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 414, 1 ]
Mathlib/Analysis/InnerProductSpace/Basic.lean
real_inner_smul_self_right
[ { "state_after": "no goals", "state_before": "𝕜 : Type ?u.3142239\nE : Type ?u.3142242\nF : Type u_1\ninst✝⁴ : IsROrC 𝕜\ninst✝³ : NormedAddCommGroup E\ninst✝² : InnerProductSpace 𝕜 E\ninst✝¹ : NormedAddCommGroup F\ninst✝ : InnerProductSpace ℝ F\ndec_E : DecidableEq E\nx : F\nr : ℝ\n⊢ inner x (r • x) = r ...
[ 1548, 60 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1547, 1 ]
Mathlib/Data/Finsupp/Basic.lean
Finsupp.eq_zero_of_comapDomain_eq_zero
[ { "state_after": "α : Type u_3\nβ : Type u_2\nγ : Type ?u.301425\nι : Type ?u.301428\nM : Type u_1\nM' : Type ?u.301434\nN : Type ?u.301437\nP : Type ?u.301440\nG : Type ?u.301443\nH : Type ?u.301446\nR : Type ?u.301449\nS : Type ?u.301452\ninst✝ : AddCommMonoid M\nf : α → β\nl : β →₀ M\nhf : Set.BijOn f (f ⁻¹'...
[ 723, 29 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 717, 1 ]
Mathlib/GroupTheory/FreeAbelianGroupFinsupp.lean
FreeAbelianGroup.support_zero
[ { "state_after": "no goals", "state_before": "X : Type u_1\n⊢ support 0 = ∅", "tactic": "simp only [support, Finsupp.support_zero, AddMonoidHom.map_zero]" } ]
[ 168, 67 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 167, 1 ]
Mathlib/Analysis/Asymptotics/Asymptotics.lean
Asymptotics.IsBigO.of_pow
[ { "state_after": "case intro.intro\nα : Type u_1\nβ : Type ?u.518903\nE : Type ?u.518906\nF : Type ?u.518909\nG : Type ?u.518912\nE' : Type ?u.518915\nF' : Type ?u.518918\nG' : Type ?u.518921\nE'' : Type ?u.518924\nF'' : Type ?u.518927\nG'' : Type ?u.518930\nR : Type u_3\nR' : Type ?u.518936\n𝕜 : Type u_2\n𝕜'...
[ 1649, 37 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1644, 1 ]
Mathlib/Data/Sign.lean
sign_eq_zero_iff
[ { "state_after": "α : Type u_1\ninst✝¹ : Zero α\ninst✝ : LinearOrder α\na : α\nh : ↑sign a = 0\n⊢ a = 0", "state_before": "α : Type u_1\ninst✝¹ : Zero α\ninst✝ : LinearOrder α\na : α\n⊢ ↑sign a = 0 ↔ a = 0", "tactic": "refine' ⟨fun h => _, fun h => h.symm ▸ sign_zero⟩" }, { "state_after": "α : T...
[ 357, 44 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 352, 1 ]
Mathlib/Data/Set/Basic.lean
Set.union_subset_union
[]
[ 834, 57 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 833, 1 ]
Mathlib/Combinatorics/SimpleGraph/Connectivity.lean
SimpleGraph.Iso.connectedComponentEquiv_refl
[ { "state_after": "case H.mk\nV : Type u\nV' : Type v\nV'' : Type w\nG : SimpleGraph V\nG' : SimpleGraph V'\nG'' : SimpleGraph V''\nx✝ : ConnectedComponent G\nv : V\n⊢ ↑(connectedComponentEquiv refl) (Quot.mk (Reachable G) v) =\n ↑(Equiv.refl (ConnectedComponent G)) (Quot.mk (Reachable G) v)", "state_befo...
[ 2110, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 2107, 1 ]
Mathlib/Order/GameAdd.lean
Sym2.gameAdd_mk'_iff
[]
[ 174, 10 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 171, 1 ]
Mathlib/SetTheory/Ordinal/Arithmetic.lean
Ordinal.mod_eq_of_lt
[ { "state_after": "no goals", "state_before": "α : Type ?u.257723\nβ : Type ?u.257726\nγ : Type ?u.257729\nr : α → α → Prop\ns : β → β → Prop\nt : γ → γ → Prop\na b : Ordinal\nh : a < b\n⊢ a % b = a", "tactic": "simp only [mod_def, div_eq_zero_of_lt h, mul_zero, sub_zero]" } ]
[ 1040, 63 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1039, 1 ]
Mathlib/Topology/Order/LowerTopology.lean
LowerTopology.closure_singleton
[]
[ 208, 79 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 206, 1 ]
Mathlib/Topology/UniformSpace/Completion.lean
CauchyFilter.uniformInducing_pureCauchy
[ { "state_after": "no goals", "state_before": "α : Type u\ninst✝² : UniformSpace α\nβ : Type v\nγ : Type w\ninst✝¹ : UniformSpace β\ninst✝ : UniformSpace γ\ns : Set (α × α)\nx✝ : α × α\na₁ a₂ : α\n⊢ (a₁, a₂) ∈ ((preimage fun x => (pureCauchy x.fst, pureCauchy x.snd)) ∘ gen) s ↔ (a₁, a₂) ∈ id s", "tactic"...
[ 169, 8 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 160, 1 ]
Mathlib/Data/Finsupp/Basic.lean
Finsupp.graph_inj
[]
[ 114, 31 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 113, 1 ]
Mathlib/Topology/Instances/ENNReal.lean
ENNReal.tendsto_atTop_zero_of_tsum_ne_top
[ { "state_after": "α : Type ?u.262359\nβ : Type ?u.262362\nγ : Type ?u.262365\na b c d : ℝ≥0∞\nr p q : ℝ≥0\nx y z ε ε₁ ε₂ : ℝ≥0∞\ns : Set ℝ≥0∞\nf✝ g : α → ℝ≥0∞\nf : ℕ → ℝ≥0∞\nhf : (∑' (x : ℕ), f x) ≠ ⊤\n⊢ Tendsto f cofinite (𝓝 0)", "state_before": "α : Type ?u.262359\nβ : Type ?u.262362\nγ : Type ?u.262365\...
[ 960, 48 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 957, 1 ]
Mathlib/LinearAlgebra/Alternating.lean
AlternatingMap.coe_neg
[]
[ 382, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 381, 1 ]
Mathlib/Algebra/Homology/Augment.lean
ChainComplex.augmentTruncate_hom_f_zero
[]
[ 171, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 169, 1 ]
Mathlib/MeasureTheory/Integral/Bochner.lean
MeasureTheory.weightedSMul_smul_measure
[ { "state_after": "case h\nα : Type u_1\nE : Type ?u.30268\nF : Type u_2\n𝕜 : Type ?u.30274\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace ℝ F\nm✝ : MeasurableSpace α\nμ✝ : Measure α\nm : MeasurableSpace α\nμ : Measure α\nc : ℝ≥0∞\ns : Set α\nx : F\n⊢ ↑(weightedSMul (c • μ) s) x = ↑(ENNReal.toReal c • weig...
[ 203, 62 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 197, 1 ]
Mathlib/Topology/Bornology/Basic.lean
Bornology.isBounded_union
[ { "state_after": "no goals", "state_before": "ι : Type ?u.4828\nα : Type u_1\nβ : Type ?u.4834\ninst✝ : Bornology α\ns t : Set α\nx : α\n⊢ IsBounded (s ∪ t) ↔ IsBounded s ∧ IsBounded t", "tactic": "simp only [← isCobounded_compl_iff, compl_union, isCobounded_inter]" } ]
[ 201, 70 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 200, 1 ]