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Mathlib/SetTheory/Cardinal/Basic.lean
Cardinal.add_le_aleph0
[]
[ 1654, 44 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1652, 1 ]
Mathlib/Tactic/GCongr.lean
Nat.div_le_div
[]
[ 100, 64 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 97, 11 ]
Mathlib/Algebra/Order/Ring/Lemmas.lean
mul_left_cancel_iff_of_pos
[]
[ 523, 55 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 521, 1 ]
Mathlib/NumberTheory/Bernoulli.lean
bernoulli'_spec
[ { "state_after": "A : Type ?u.176715\ninst✝¹ : CommRing A\ninst✝ : Algebra ℚ A\nn : ℕ\n⊢ ∑ x in range n,\n (↑(Nat.choose n x) / (↑n - ↑x + 1) * bernoulli' x - ↑(Nat.choose n (n - x)) / (↑n - ↑x + 1) * bernoulli' x) =\n 0", "state_before": "A : Type ?u.176715\ninst✝¹ : CommRing A\ninst✝ : Algebra ℚ A...
[ 90, 99 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 85, 1 ]
Mathlib/LinearAlgebra/Dual.lean
Basis.total_coord
[ { "state_after": "R : Type u\nM : Type v\nK : Type u₁\nV : Type u₂\nι : Type w\ninst✝³ : CommRing R\ninst✝² : AddCommGroup M\ninst✝¹ : Module R M\ninst✝ : _root_.Finite ι\nb : Basis ι R M\nf : ι →₀ R\ni : ι\nthis : DecidableEq ι\n⊢ ↑(↑(Finsupp.total ι (Dual R M) R (coord b)) f) (↑b i) = ↑f i", "state_before...
[ 515, 40 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 512, 1 ]
Mathlib/Data/Real/ENNReal.lean
ENNReal.coe_add
[]
[ 359, 82 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 359, 20 ]
Mathlib/Analysis/Convex/Function.lean
ConcaveOn.comp_linearMap
[]
[ 487, 27 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 485, 1 ]
Mathlib/Order/OmegaCompletePartialOrder.lean
OmegaCompletePartialOrder.ContinuousHom.continuous
[]
[ 676, 25 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 675, 1 ]
Mathlib/CategoryTheory/ConcreteCategory/Basic.lean
CategoryTheory.ConcreteCategory.epi_of_surjective
[]
[ 176, 57 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 174, 1 ]
Mathlib/Algebra/Quaternion.lean
Cardinal.mk_univ_quaternion_of_infinite
[]
[ 1474, 44 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1473, 1 ]
Mathlib/Data/Real/CauSeq.lean
CauSeq.neg_limZero
[ { "state_after": "α : Type u_1\nβ : Type u_2\ninst✝² : LinearOrderedField α\ninst✝¹ : Ring β\nabv : β → α\ninst✝ : IsAbsoluteValue abv\nf : CauSeq β abv\nhf : LimZero f\n⊢ LimZero (-1 * f)", "state_before": "α : Type u_1\nβ : Type u_2\ninst✝² : LinearOrderedField α\ninst✝¹ : Ring β\nabv : β → α\ninst✝ : IsA...
[ 443, 31 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 441, 1 ]
Mathlib/Data/List/Basic.lean
List.map_subset_iff
[ { "state_after": "ι : Type ?u.9936\nα : Type u\nβ : Type v\nγ : Type w\nδ : Type x\nl₁✝ l₂✝ l₁ l₂ : List α\nf : α → β\nh : Injective f\n⊢ map f l₁ ⊆ map f l₂ → l₁ ⊆ l₂", "state_before": "ι : Type ?u.9936\nα : Type u\nβ : Type v\nγ : Type w\nδ : Type x\nl₁✝ l₂✝ l₁ l₂ : List α\nf : α → β\nh : Injective f\n⊢ m...
[ 350, 26 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 346, 1 ]
Mathlib/GroupTheory/Perm/Support.lean
Equiv.Perm.Disjoint.commute
[ { "state_after": "no goals", "state_before": "α : Type u_1\nf g h✝ : Perm α\nh : Disjoint f g\nx : α\nhf : ↑f x = x\nhg : ↑f (↑g x) = ↑g x\n⊢ ↑(f * g) x = ↑(g * f) x", "tactic": "simp [mul_apply, hf, hg]" }, { "state_after": "no goals", "state_before": "α : Type u_1\nf g h✝ : Perm α\nh : Dis...
[ 68, 33 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 60, 1 ]
Mathlib/Order/UpperLower/Basic.lean
UpperSet.Ici_prod_Ici
[]
[ 1557, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1556, 1 ]
Mathlib/Algebra/Algebra/Equiv.lean
AlgEquiv.ofAlgHom_symm
[]
[ 511, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 509, 1 ]
Mathlib/Data/Polynomial/Eval.lean
Polynomial.eval₂_multiset_sum
[]
[ 165, 45 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 163, 1 ]
Mathlib/Data/Nat/Factorization/Basic.lean
Nat.dvd_of_mem_factorization
[ { "state_after": "case inl\np : ℕ\nh : p ∈ (factorization 0).support\n⊢ p ∣ 0\n\ncase inr\nn p : ℕ\nh : p ∈ (factorization n).support\nhn : n ≠ 0\n⊢ p ∣ n", "state_before": "n p : ℕ\nh : p ∈ (factorization n).support\n⊢ p ∣ n", "tactic": "rcases eq_or_ne n 0 with (rfl | hn)" }, { "state_after": ...
[ 426, 100 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 423, 1 ]
Mathlib/Order/Grade.lean
grade_le_grade_iff
[]
[ 180, 29 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 179, 1 ]
Mathlib/Algebra/Order/Monoid/Lemmas.lean
Left.one_lt_mul_of_lt_of_le
[]
[ 736, 31 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 733, 1 ]
Mathlib/SetTheory/Ordinal/Topology.lean
Ordinal.isNormal_iff_strictMono_and_continuous
[ { "state_after": "case refine'_1\ns : Set Ordinal\na : Ordinal\nf : Ordinal → Ordinal\nh : IsNormal f\n⊢ Continuous f\n\ncase refine'_2\ns : Set Ordinal\na : Ordinal\nf : Ordinal → Ordinal\n⊢ StrictMono f ∧ Continuous f → IsNormal f", "state_before": "s : Set Ordinal\na : Ordinal\nf : Ordinal → Ordinal\n⊢ I...
[ 209, 31 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 188, 1 ]
Mathlib/GroupTheory/Subgroup/Basic.lean
Subgroup.mem_mk
[]
[ 416, 10 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 414, 1 ]
Mathlib/Analysis/Asymptotics/AsymptoticEquivalent.lean
Asymptotics.IsEquivalent.symm
[]
[ 105, 48 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 104, 1 ]
Mathlib/GroupTheory/Perm/Cycle/Basic.lean
Finset.product_self_eq_disj_Union_perm_aux
[ { "state_after": "case inl\nι : Type ?u.3115870\nα : Type u_1\nβ : Type ?u.3115876\ninst✝ : DecidableEq α\nf : Perm α\ns : Finset α\nhf : IsCycleOn f ↑s\nhs : Set.Subsingleton ↑s\n⊢ Set.PairwiseDisjoint ↑(range (card s)) fun k =>\n map\n { toFun := fun i => (i, ↑(f ^ k) i),\n inj' :=\n (...
[ 1940, 44 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1926, 1 ]
Mathlib/Topology/MetricSpace/Holder.lean
HolderOnWith.uniformContinuousOn
[ { "state_after": "X : Type u_1\nY : Type u_2\nZ : Type ?u.259336\ninst✝² : PseudoEMetricSpace X\ninst✝¹ : PseudoEMetricSpace Y\ninst✝ : PseudoEMetricSpace Z\nC r : ℝ≥0\nf : X → Y\ns t : Set X\nhf : HolderOnWith C r f s\nh0 : 0 < r\nε : ℝ≥0∞\nεpos : ε > 0\n⊢ ∃ δ, δ > 0 ∧ ∀ {a : X}, a ∈ s → ∀ {b : X}, b ∈ s → edi...
[ 145, 69 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 139, 11 ]
Mathlib/Order/Heyting/Hom.lean
BiheytingHom.cancel_right
[]
[ 606, 85 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 605, 1 ]
Mathlib/FieldTheory/Subfield.lean
Subfield.zpow_mem
[ { "state_after": "case ofNat\nK : Type u\nL : Type v\nM : Type w\ninst✝² : Field K\ninst✝¹ : Field L\ninst✝ : Field M\ns t : Subfield K\nx : K\nhx : x ∈ s\na✝ : ℕ\n⊢ x ^ Int.ofNat a✝ ∈ s\n\ncase negSucc\nK : Type u\nL : Type v\nM : Type w\ninst✝² : Field K\ninst✝¹ : Field L\ninst✝ : Field M\ns t : Subfield K\nx...
[ 335, 69 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 332, 1 ]
Mathlib/Topology/ContinuousFunction/Units.lean
ContinuousMap.isUnit_iff_forall_isUnit
[ { "state_after": "case h\nX : Type u_1\nM : Type ?u.390661\nR : Type u_2\n𝕜 : Type ?u.390667\ninst✝² : TopologicalSpace X\ninst✝¹ : NormedRing R\ninst✝ : CompleteSpace R\nf : C(X, R)\nh : ∀ (x : X), IsUnit (↑f x)\na✝ : X\n⊢ ↑↑(↑unitsLift (unitsOfForallIsUnit h)) a✝ = ↑f a✝", "state_before": "X : Type u_1\n...
[ 102, 67 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 100, 1 ]
Mathlib/RingTheory/Ideal/LocalRing.lean
LocalRing.maximal_ideal_unique
[]
[ 130, 95 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 128, 1 ]
Mathlib/CategoryTheory/Monoidal/OfChosenFiniteProducts/Symmetric.lean
CategoryTheory.MonoidalOfChosenFiniteProducts.hexagon_forward
[ { "state_after": "C : Type u\ninst✝ : Category C\nX✝ Y✝ : C\n𝒯 : LimitCone (Functor.empty C)\nℬ : (X Y : C) → LimitCone (pair X Y)\nX Y Z : C\n⊢ (BinaryFan.associatorOfLimitCone ℬ X Y Z).hom ≫\n (IsLimit.conePointUniqueUpToIso (ℬ X (tensorObj ℬ Y Z)).isLimit\n (IsLimit.swapBinaryFan (ℬ (tensorO...
[ 58, 74 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 46, 1 ]
Mathlib/RingTheory/Ideal/Over.lean
Ideal.comap_ne_bot_of_integral_mem
[]
[ 282, 67 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 280, 1 ]
Mathlib/LinearAlgebra/Projection.lean
Submodule.prodEquivOfIsCompl_symm_apply_snd_eq_zero
[ { "state_after": "R : Type u_2\ninst✝⁹ : Ring R\nE : Type u_1\ninst✝⁸ : AddCommGroup E\ninst✝⁷ : Module R E\nF : Type ?u.109042\ninst✝⁶ : AddCommGroup F\ninst✝⁵ : Module R F\nG : Type ?u.109558\ninst✝⁴ : AddCommGroup G\ninst✝³ : Module R G\np q : Submodule R E\nS : Type ?u.110521\ninst✝² : Semiring S\nM : Type ...
[ 146, 49 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 142, 1 ]
Mathlib/Data/Polynomial/Degree/Lemmas.lean
Polynomial.coeff_add_eq_right_of_lt
[ { "state_after": "R : Type u\nS : Type v\nι : Type w\na b : R\nm n : ℕ\ninst✝ : Semiring R\np q r : R[X]\npn : natDegree p < n\n⊢ coeff (q + p) n = coeff q n", "state_before": "R : Type u\nS : Type v\nι : Type w\na b : R\nm n : ℕ\ninst✝ : Semiring R\np q r : R[X]\npn : natDegree p < n\n⊢ coeff (p + q) n = c...
[ 194, 35 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 192, 1 ]
Mathlib/Data/Real/Basic.lean
Real.iInf_of_not_bddBelow
[]
[ 850, 26 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 848, 1 ]
Mathlib/SetTheory/Cardinal/Finite.lean
Nat.card_eq_of_equiv_fin
[ { "state_after": "no goals", "state_before": "α✝ : Type ?u.8654\nβ : Type ?u.8657\nα : Type u_1\nn : ℕ\nf : α ≃ Fin n\n⊢ Nat.card α = n", "tactic": "simpa only [card_eq_fintype_card, Fintype.card_fin] using card_congr f" } ]
[ 65, 73 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 64, 1 ]
Mathlib/CategoryTheory/Abelian/Projective.lean
CategoryTheory.ProjectiveResolution.exact_ofComplex
[ { "state_after": "C : Type u\ninst✝² : Category C\ninst✝¹ : Abelian C\ninst✝ : EnoughProjectives C\nZ : C\nn : ℕ\n⊢ Exact\n (ChainComplex.mkAux (over Z) (syzygies (Projective.π Z)) (syzygies (d (Projective.π Z))) (d (Projective.π Z))\n (d (d (Projective.π Z)))\n (_ :\n {\n ...
[ 137, 22 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 125, 1 ]
Mathlib/Algebra/Algebra/Operations.lean
Submodule.le_div_iff_mul_le
[ { "state_after": "no goals", "state_before": "ι : Sort uι\nR : Type u\ninst✝² : CommSemiring R\nA : Type v\ninst✝¹ : CommSemiring A\ninst✝ : Algebra R A\nM N : Submodule R A\nm n : A\nI J K : Submodule R A\n⊢ I ≤ J / K ↔ I * K ≤ J", "tactic": "rw [le_div_iff, mul_le]" } ]
[ 705, 26 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 704, 1 ]
Mathlib/CategoryTheory/Limits/Shapes/Biproducts.lean
CategoryTheory.Limits.Bicone.toCone_pt
[]
[ 112, 61 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 112, 1 ]
Mathlib/Algebra/Order/Interval.lean
Interval.length_neg
[]
[ 707, 45 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 705, 1 ]
Mathlib/GroupTheory/Submonoid/Operations.lean
MonoidHom.restrict_mrange
[ { "state_after": "no goals", "state_before": "M : Type u_1\nN : Type u_2\nP : Type ?u.123584\ninst✝³ : MulOneClass M\ninst✝² : MulOneClass N\ninst✝¹ : MulOneClass P\nS : Submonoid M\nA : Type ?u.123605\ninst✝ : SetLike A M\nhA : SubmonoidClass A M\nS' : A\nF : Type ?u.123629\nmc : MonoidHomClass F M N\nf : ...
[ 1118, 25 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1117, 1 ]
Mathlib/Init/Algebra/Classes.lean
incomp_trans
[]
[ 280, 35 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 278, 1 ]
Mathlib/RingTheory/PowerSeries/WellKnown.lean
PowerSeries.coeff_cos_bit1
[ { "state_after": "no goals", "state_before": "A : Type u_1\nA' : Type ?u.382438\ninst✝⁷ : Ring A\ninst✝⁶ : Ring A'\ninst✝⁵ : Algebra ℚ A\ninst✝⁴ : Algebra ℚ A'\ninst✝³ : Ring A\ninst✝² : Ring A'\ninst✝¹ : Algebra ℚ A\ninst✝ : Algebra ℚ A'\nn : ℕ\nf : A →+* A'\n⊢ ↑(coeff A (bit1 n)) (cos A) = 0", "tactic...
[ 129, 45 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 128, 1 ]
Mathlib/RingTheory/AdjoinRoot.lean
PowerBasis.quotientEquivQuotientMinpolyMap_symm_apply_mk
[ { "state_after": "no goals", "state_before": "R : Type u\nS : Type v\nK : Type w\ninst✝² : CommRing R\ninst✝¹ : CommRing S\ninst✝ : Algebra R S\npb : PowerBasis R S\nI : Ideal R\ng : R[X]\n⊢ ↑(AlgEquiv.symm (quotientEquivQuotientMinpolyMap pb I))\n (↑(Ideal.Quotient.mk (span {Polynomial.map (Ideal.Quot...
[ 935, 22 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 926, 1 ]
Mathlib/Order/SuccPred/Basic.lean
LE.le.exists_succ_iterate
[]
[ 1376, 30 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1375, 1 ]
Mathlib/Order/Basic.lean
lt_imp_lt_of_le_imp_le
[]
[ 501, 40 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 499, 1 ]
Mathlib/Topology/CompactOpen.lean
ContinuousMap.nhds_compactOpen_eq_sInf_nhds_induced
[ { "state_after": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.23663\ninst✝² : TopologicalSpace α\ninst✝¹ : TopologicalSpace β\ninst✝ : TopologicalSpace γ\nf : C(α, β)\n⊢ 𝓝 f = ⨅ (s : Set α) (_ : IsCompact s), Filter.comap (restrict s) (𝓝 (restrict s f))", "state_before": "α : Type u_1\nβ : Type u_2\nγ : Type ...
[ 259, 33 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 256, 1 ]
Mathlib/RingTheory/Valuation/Basic.lean
Valuation.map_add_eq_of_lt_right
[]
[ 327, 69 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 326, 1 ]
Mathlib/Data/Dfinsupp/Basic.lean
Dfinsupp.extendWith_none
[]
[ 1637, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1635, 1 ]
Mathlib/Data/Bool/Basic.lean
Bool.forall_bool
[ { "state_after": "no goals", "state_before": "p : Bool → Prop\nh : ∀ (b : Bool), p b\n⊢ p false ∧ p true", "tactic": "simp [h]" }, { "state_after": "no goals", "state_before": "p : Bool → Prop\nx✝ : p false ∧ p true\nb : Bool\nh₁ : p false\nh₂ : p true\n⊢ p b", "tactic": "cases b <;> ass...
[ 104, 68 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 103, 1 ]
Mathlib/Analysis/BoxIntegral/Basic.lean
BoxIntegral.integral_add
[]
[ 276, 50 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 274, 1 ]
Mathlib/Order/Iterate.lean
Function.iterate_le_id_of_le_id
[]
[ 141, 38 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 140, 1 ]
Mathlib/Algebra/Order/Monoid/MinMax.lean
min_mul_max
[]
[ 35, 27 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 34, 1 ]
Mathlib/Data/Finsupp/Interval.lean
Finsupp.card_Ioo
[ { "state_after": "no goals", "state_before": "ι : Type u_1\nα : Type u_2\ninst✝² : PartialOrder α\ninst✝¹ : Zero α\ninst✝ : LocallyFiniteOrder α\nf g : ι →₀ α\n⊢ card (Ioo f g) = ∏ i in f.support ∪ g.support, card (Icc (↑f i) (↑g i)) - 2", "tactic": "rw [card_Ioo_eq_card_Icc_sub_two, card_Icc]" } ]
[ 126, 46 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 125, 1 ]
Mathlib/MeasureTheory/Integral/Average.lean
MeasureTheory.average_zero_measure
[ { "state_after": "no goals", "state_before": "α : Type u_2\nE : Type u_1\nF : Type ?u.180121\nm0 : MeasurableSpace α\ninst✝⁵ : NormedAddCommGroup E\ninst✝⁴ : NormedSpace ℝ E\ninst✝³ : CompleteSpace E\ninst✝² : NormedAddCommGroup F\ninst✝¹ : NormedSpace ℝ F\ninst✝ : CompleteSpace F\nμ : Measure α\ns : Set E\...
[ 84, 49 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 83, 1 ]
Mathlib/Data/Set/Image.lean
Set.range_quot_mk
[]
[ 957, 34 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 956, 1 ]
Mathlib/Data/Set/Functor.lean
Set.image2_def
[ { "state_after": "case h\nα✝ β✝ : Type u\ns✝ : Set α✝\nf✝ : α✝ → Set β✝\ng : Set (α✝ → β✝)\nα β γ : Type u_1\nf : α → β → γ\ns : Set α\nt : Set β\nx✝ : γ\n⊢ x✝ ∈ image2 f s t ↔ x✝ ∈ Seq.seq (f <$> s) fun x => t", "state_before": "α✝ β✝ : Type u\ns✝ : Set α✝\nf✝ : α✝ → Set β✝\ng : Set (α✝ → β✝)\nα β γ : Type...
[ 60, 7 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 57, 1 ]
Mathlib/Order/InitialSeg.lean
InitialSeg.init_iff
[ { "state_after": "case intro\nα : Type u_1\nβ : Type u_2\nγ : Type ?u.12477\nr : α → α → Prop\ns : β → β → Prop\nt : γ → γ → Prop\nf : r ≼i s\na a' : α\nh : s (↑f a') (↑f a)\n⊢ ∃ a'_1, ↑f a'_1 = ↑f a' ∧ r a'_1 a", "state_before": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.12477\nr : α → α → Prop\ns : β → β → ...
[ 98, 45 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 94, 1 ]
Mathlib/Data/Multiset/Basic.lean
Multiset.rel_replicate_left
[ { "state_after": "case intro.intro\nα : Type u_1\nβ : Type ?u.474373\nγ : Type ?u.474376\nδ : Type ?u.474379\nr✝ : α → β → Prop\np : γ → δ → Prop\nm : Multiset α\na : α\nr : α → α → Prop\nn : ℕ\nh : Rel r (replicate n a) m\nx : α\nhx : x ∈ m\nb : α\nhb1 : b ∈ replicate n a\nhb2 : flip r x b\n⊢ r a x", "stat...
[ 2818, 48 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 2810, 1 ]
Mathlib/Order/Filter/Prod.lean
Filter.mem_prod_iff
[ { "state_after": "α : Type u_2\nβ : Type u_1\nγ : Type ?u.1020\nδ : Type ?u.1023\nι : Sort ?u.1026\ns✝ : Set α\nt : Set β\nf✝ : Filter α\ng✝ : Filter β\ns : Set (α × β)\nf : Filter α\ng : Filter β\n⊢ s ∈ comap Prod.fst f ⊓ comap Prod.snd g ↔ ∃ t₁, t₁ ∈ f ∧ ∃ t₂, t₂ ∈ g ∧ prod t₁ t₂ ⊆ s", "state_before": "α ...
[ 75, 79 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 68, 1 ]
Mathlib/Analysis/Calculus/FDeriv/Add.lean
differentiableOn_const_sub_iff
[ { "state_after": "no goals", "state_before": "𝕜 : Type u_1\ninst✝⁸ : NontriviallyNormedField 𝕜\nE : Type u_2\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.561985\ninst✝³ : NormedAddCommGroup G\ninst✝² : Normed...
[ 645, 97 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 644, 1 ]
Mathlib/MeasureTheory/CardMeasurableSpace.lean
MeasurableSpace.cardinal_measurableSet_le_continuum
[]
[ 191, 43 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 189, 1 ]
Mathlib/GroupTheory/Subgroup/Basic.lean
Subgroup.closure_union
[]
[ 1254, 27 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1253, 1 ]
Mathlib/Analysis/Calculus/FDeriv/Add.lean
Differentiable.const_add
[]
[ 305, 69 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 304, 1 ]
Mathlib/Analysis/BoxIntegral/Integrability.lean
BoxIntegral.HasIntegral.congr_ae
[ { "state_after": "ι : Type u\nE : Type v\ninst✝³ : Fintype ι\ninst✝² : NormedAddCommGroup E\ninst✝¹ : NormedSpace ℝ E\nl : IntegrationParams\nI : Box ι\ny : E\nf g : (ι → ℝ) → E\nμ : MeasureTheory.Measure (ι → ℝ)\ninst✝ : IsLocallyFiniteMeasure μ\nhf : HasIntegral I l f (BoxAdditiveMap.toSMul (Measure.toBoxAddi...
[ 164, 56 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 159, 1 ]
Mathlib/Topology/Algebra/Module/Basic.lean
ContinuousLinearMap.pi_comp
[]
[ 1237, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1235, 1 ]
Mathlib/Analysis/NormedSpace/AffineIsometry.lean
AffineMap.continuous_linear_iff
[ { "state_after": "𝕜 : Type u_1\nV : Type u_2\nV₁ : Type ?u.2232204\nV₂ : Type u_4\nV₃ : Type ?u.2232210\nV₄ : Type ?u.2232213\nP₁ : Type ?u.2232216\nP : Type u_3\nP₂ : Type u_5\nP₃ : Type ?u.2232225\nP₄ : Type ?u.2232228\ninst✝²⁰ : NormedField 𝕜\ninst✝¹⁹ : SeminormedAddCommGroup V\ninst✝¹⁸ : SeminormedAddComm...
[ 857, 78 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 845, 1 ]
Mathlib/Data/Dfinsupp/Basic.lean
Dfinsupp.mk_zero
[ { "state_after": "ι : Type u\nγ : Type w\nβ : ι → Type v\nβ₁ : ι → Type v₁\nβ₂ : ι → Type v₂\ndec : DecidableEq ι\ninst✝ : (i : ι) → Zero (β i)\ns : Finset ι\ni : ι\n⊢ (if H : i ∈ s then OfNat.ofNat 0 { val := i, property := H } else 0) = ↑0 i", "state_before": "ι : Type u\nγ : Type w\nβ : ι → Type v\nβ₁ : ...
[ 1043, 58 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1042, 1 ]
Mathlib/Topology/LocalExtr.lean
IsLocalExtr.comp_antitone
[]
[ 243, 22 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 241, 8 ]
Mathlib/Order/WellFoundedSet.lean
Finset.isPwo
[]
[ 550, 27 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 549, 11 ]
Mathlib/Algebra/Associated.lean
Associates.mk_pow
[ { "state_after": "no goals", "state_before": "α : Type u_1\nβ : Type ?u.277786\nγ : Type ?u.277789\nδ : Type ?u.277792\ninst✝ : CommMonoid α\na : α\nn : ℕ\n⊢ Associates.mk (a ^ n) = Associates.mk a ^ n", "tactic": "induction n <;> simp [*, pow_succ, Associates.mk_mul_mk.symm]" } ]
[ 857, 64 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 856, 1 ]
Mathlib/Data/String/Basic.lean
List.asString_inj
[ { "state_after": "no goals", "state_before": "l l' : List Char\nh : asString l = asString l'\n⊢ l = l'", "tactic": "rw [← toList_inv_asString l, ← toList_inv_asString l', toList_inj, h]" } ]
[ 194, 20 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 192, 1 ]
Mathlib/RingTheory/Congruence.lean
RingCon.rel_mk
[]
[ 129, 10 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 128, 1 ]
Mathlib/Order/UpperLower/Basic.lean
LowerSet.compl_iInf
[ { "state_after": "no goals", "state_before": "α : Type u_1\nβ : Type ?u.89932\nγ : Type ?u.89935\nι : Sort u_2\nκ : ι → Sort ?u.89943\ninst✝ : LE α\ns t : LowerSet α\na : α\nf : ι → LowerSet α\n⊢ ↑(compl (⨅ (i : ι), f i)) = ↑(⨅ (i : ι), compl (f i))", "tactic": "simp only [coe_compl, coe_iInf, compl_iIn...
[ 921, 86 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 920, 11 ]
Mathlib/GroupTheory/Perm/Basic.lean
Equiv.Perm.mul_symm
[]
[ 172, 26 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 171, 1 ]
Mathlib/Data/Set/Basic.lean
Set.mem_setOf_eq
[]
[ 257, 83 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 257, 9 ]
Mathlib/Data/Matrix/Basic.lean
Matrix.sub_dotProduct
[ { "state_after": "no goals", "state_before": "l : Type ?u.178976\nm : Type u_1\nn : Type ?u.178982\no : Type ?u.178985\nm' : o → Type ?u.178990\nn' : o → Type ?u.178995\nR : Type ?u.178998\nS : Type ?u.179001\nα : Type v\nβ : Type w\nγ : Type ?u.179008\ninst✝² : Fintype m\ninst✝¹ : Fintype n\ninst✝ : NonUni...
[ 870, 84 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 870, 1 ]
Mathlib/Analysis/NormedSpace/Star/Multiplier.lean
DoubleCentralizer.nnnorm_snd
[]
[ 658, 27 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 657, 1 ]
Mathlib/Order/Concept.lean
Concept.sInf_fst
[]
[ 363, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 362, 1 ]
Mathlib/Geometry/Manifold/SmoothManifoldWithCorners.lean
contDiffGroupoid_zero_eq
[ { "state_after": "m n : ℕ∞\n𝕜 : Type u_2\ninst✝⁴ : NontriviallyNormedField 𝕜\nE : Type u_3\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\nH : Type u_1\ninst✝¹ : TopologicalSpace H\nI : ModelWithCorners 𝕜 E H\nM : Type ?u.100926\ninst✝ : TopologicalSpace M\n⊢ ⊤ ≤ contDiffGroupoid 0 I", "state_...
[ 583, 66 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 571, 1 ]
Mathlib/SetTheory/ZFC/Basic.lean
ZFSet.mem_sInter
[ { "state_after": "x y : ZFSet\nh : ZFSet.Nonempty x\n⊢ y ∈ ZFSet.sep (fun y => ∀ (z : ZFSet), z ∈ x → y ∈ z) (Set.Nonempty.some h) ↔ ∀ (z : ZFSet), z ∈ x → y ∈ z", "state_before": "x y : ZFSet\nh : ZFSet.Nonempty x\n⊢ y ∈ ⋂₀ x ↔ ∀ (z : ZFSet), z ∈ x → y ∈ z", "tactic": "rw [sInter, dif_pos h]" }, { ...
[ 1064, 32 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1061, 1 ]
Mathlib/Data/Polynomial/Degree/Definitions.lean
Polynomial.leadingCoeff_zero
[]
[ 657, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 656, 1 ]
Mathlib/Topology/Order.lean
TopologicalSpace.mkOfClosure_sets
[]
[ 185, 30 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 183, 1 ]
Mathlib/GroupTheory/FreeProduct.lean
FreeProduct.NeWord.inv_last
[ { "state_after": "no goals", "state_before": "ι : Type u_1\nM : ι → Type ?u.651212\ninst✝² : (i : ι) → Monoid (M i)\nN : Type ?u.651223\ninst✝¹ : Monoid N\nG : ι → Type u_2\ninst✝ : (i : ι) → Group (G i)\ni j : ι\nw : NeWord G i j\n⊢ last (inv w) = (head w)⁻¹", "tactic": "induction w <;> simp [inv, *]" ...
[ 690, 32 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 689, 1 ]
Mathlib/Data/List/Nodup.lean
List.not_nodup_of_get_eq_of_ne
[ { "state_after": "α : Type u\nβ : Type v\nl l₁ l₂ : List α\nr : α → α → Prop\na b : α\nxs : List α\nn m : Fin (length xs)\nh : get xs n = get xs m\nhne : n ≠ m\n⊢ ¬Injective (get xs)", "state_before": "α : Type u\nβ : Type v\nl l₁ l₂ : List α\nr : α → α → Prop\na b : α\nxs : List α\nn m : Fin (length xs)\nh...
[ 156, 33 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 153, 1 ]
Mathlib/Topology/SubsetProperties.lean
IsCompact.inter_iInter_nonempty
[ { "state_after": "α : Type u\nβ : Type v\nι✝ : Type ?u.20882\nπ : ι✝ → Type ?u.20887\ninst✝¹ : TopologicalSpace α\ninst✝ : TopologicalSpace β\ns✝ t s : Set α\nι : Type v\nhs : IsCompact s\nZ : ι → Set α\nhZc : ∀ (i : ι), IsClosed (Z i)\nhsZ : ∀ (t : Finset ι), (s ∩ ⋂ (i : ι) (_ : i ∈ t), Z i) ≠ ∅\n⊢ (s ∩ ⋂ (i :...
[ 269, 72 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 265, 1 ]
Mathlib/CategoryTheory/Category/Preorder.lean
CategoryTheory.homOfLE_refl
[]
[ 79, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 78, 1 ]
Mathlib/Data/Complex/Basic.lean
Complex.im_eq_sub_conj
[ { "state_after": "z : ℂ\nthis : ↑2 * I = 2 * I\n⊢ ↑z.im = (z - ↑(starRingEnd ℂ) z) / (2 * I)", "state_before": "z : ℂ\n⊢ ↑z.im = (z - ↑(starRingEnd ℂ) z) / (2 * I)", "tactic": "have : (↑2 : ℝ ) * I = 2 * I := by rfl" }, { "state_after": "no goals", "state_before": "z : ℂ\nthis : ↑2 * I = 2 *...
[ 895, 75 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 892, 1 ]
Mathlib/GroupTheory/FreeProduct.lean
FreeProduct.lift_mrange_le
[ { "state_after": "case intro\nι : Type u_3\nM : ι → Type u_2\ninst✝² : (i : ι) → Monoid (M i)\nN✝ : Type ?u.252280\ninst✝¹ : Monoid N✝\nN : Type u_1\ninst✝ : Monoid N\nf : (i : ι) → M i →* N\ns : Submonoid N\nh : ∀ (i : ι), MonoidHom.mrange (f i) ≤ s\nx : FreeProduct fun i => M i\n⊢ ↑(↑lift f) x ∈ s", "stat...
[ 203, 26 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 195, 1 ]
Mathlib/ModelTheory/Basic.lean
FirstOrder.Language.card_mk₂
[ { "state_after": "no goals", "state_before": "L : Language\nL' : Language\nc f₁ f₂ : Type u\nr₁ r₂ : Type v\n⊢ card (Language.mk₂ c f₁ f₂ r₁ r₂) = lift (#c) + lift (#f₁) + lift (#f₂) + lift (#r₁) + lift (#r₂)", "tactic": "simp [card_eq_card_functions_add_card_relations, add_assoc]" } ]
[ 279, 62 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 275, 1 ]
Mathlib/Algebra/Homology/ImageToKernel.lean
homology.map_id
[ { "state_after": "case p\nι : Type ?u.123641\nV : Type u\ninst✝¹⁹ : Category V\ninst✝¹⁸ : HasZeroMorphisms V\nA B C : V\nf : A ⟶ B\ninst✝¹⁷ : HasImage f\ng : B ⟶ C\ninst✝¹⁶ : HasKernel g\nw : f ≫ g = 0\nA' B' C' : V\nf' : A' ⟶ B'\ninst✝¹⁵ : HasImage f'\ng' : B' ⟶ C'\ninst✝¹⁴ : HasKernel g'\nw' : f' ≫ g' = 0\nα ...
[ 303, 94 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 302, 1 ]
Mathlib/LinearAlgebra/Orientation.lean
Orientation.map_eq_neg_iff_det_neg
[ { "state_after": "case inl\nR : Type u_1\ninst✝³ : LinearOrderedField R\nM : Type u_2\ninst✝² : AddCommGroup M\ninst✝¹ : Module R M\nι : Type u_3\ninst✝ : Fintype ι\n_i : FiniteDimensional R M\nx : Orientation R M ι\nf : M ≃ₗ[R] M\nh : Fintype.card ι = finrank R M\nh✝ : IsEmpty ι\n⊢ ↑(map ι f) x = -x ↔ ↑LinearM...
[ 397, 93 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 385, 1 ]
Mathlib/Analysis/Normed/Group/Basic.lean
norm_eq_zero'''
[]
[ 1281, 60 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1280, 1 ]
Mathlib/MeasureTheory/Function/ContinuousMapDense.lean
ContinuousMap.toLp_denseRange
[ { "state_after": "α : Type u_1\ninst✝¹¹ : MeasurableSpace α\ninst✝¹⁰ : TopologicalSpace α\ninst✝⁹ : NormalSpace α\ninst✝⁸ : BorelSpace α\nE : Type u_2\ninst✝⁷ : NormedAddCommGroup E\nμ : MeasureTheory.Measure α\np : ℝ≥0∞\ninst✝⁶ : SecondCountableTopologyEither α E\n_i : Fact (1 ≤ p)\nhp : p ≠ ⊤\n𝕜 : Type u_3\n...
[ 389, 85 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 383, 1 ]
Mathlib/Algebra/Order/Interval.lean
NonemptyInterval.snd_one
[]
[ 68, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 67, 1 ]
Mathlib/Analysis/Normed/Order/UpperLower.lean
IsLowerSet.mem_interior_of_forall_lt
[ { "state_after": "case intro\nα : Type ?u.6242\nι : Type u_1\ninst✝ : Finite ι\ns : Set (ι → ℝ)\nx y : ι → ℝ\nδ : ℝ\nhs : IsLowerSet s\nhx : x ∈ closure s\nh : ∀ (i : ι), y i < x i\nval✝ : Fintype ι\n⊢ y ∈ interior s", "state_before": "α : Type ?u.6242\nι : Type u_1\ninst✝ : Finite ι\ns : Set (ι → ℝ)\nx y :...
[ 111, 51 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 95, 1 ]
Mathlib/GroupTheory/Submonoid/Pointwise.lean
AddSubmonoid.mem_pointwise_smul_iff_inv_smul_mem
[]
[ 420, 32 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 418, 1 ]
Mathlib/Data/Nat/Cast/Basic.lean
Nat.coe_nat_dvd
[]
[ 188, 32 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 187, 1 ]
Mathlib/Data/List/Perm.lean
List.perm_append_right_iff
[]
[ 660, 25 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 658, 1 ]
Mathlib/Algebra/Hom/NonUnitalAlg.lean
NonUnitalAlgHom.toDistribMulActionHom_eq_coe
[]
[ 189, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 188, 1 ]
Mathlib/Order/Filter/AtTopBot.lean
OrderIso.tendsto_atBot
[]
[ 426, 17 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 425, 1 ]
Mathlib/SetTheory/Game/PGame.lean
PGame.add_lf_add_right
[ { "state_after": "y z : PGame\nh : ¬z ≤ y\nx : PGame\nthis : z + x ≤ y + x → z ≤ y\n⊢ ¬z + x ≤ y + x", "state_before": "y z : PGame\nh : y ⧏ z\nx : PGame\nthis : z + x ≤ y + x → z ≤ y\n⊢ y + x ⧏ z + x", "tactic": "rw [← PGame.not_le] at h⊢" }, { "state_after": "no goals", "state_before": "y ...
[ 1746, 39 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1734, 1 ]