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Mathlib/Algebra/Group/Pi.lean
Set.piecewise_inv
[]
[ 671, 38 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 669, 1 ]
Mathlib/Analysis/Normed/Field/Basic.lean
Nat.norm_cast_le
[ { "state_after": "no goals", "state_before": "α : Type u_1\nβ : Type ?u.107793\nγ : Type ?u.107796\nι : Type ?u.107799\ninst✝ : SeminormedRing α\n⊢ ‖↑0‖ ≤ ↑0 * ‖1‖", "tactic": "simp" }, { "state_after": "α : Type u_1\nβ : Type ?u.107793\nγ : Type ?u.107796\nι : Type ?u.107799\ninst✝ : Seminormed...
[ 311, 56 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 307, 1 ]
Mathlib/Topology/Algebra/InfiniteSum/Basic.lean
HasSum.int_rec
[ { "state_after": "α : Type u_1\nβ : Type ?u.474506\nγ : Type ?u.474509\nδ : Type ?u.474512\ninst✝² : AddCommGroup α\ninst✝¹ : TopologicalSpace α\ninst✝ : TopologicalAddGroup α\nf✝ g✝ : β → α\na a₁ a₂ b : α\nf g : ℕ → α\nhf : HasSum f a\nhg : HasSum g b\nh₁ : Injective Nat.cast\n⊢ HasSum (Int.rec f g) (a + b)", ...
[ 1013, 90 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1001, 1 ]
Mathlib/Analysis/SpecificLimits/Basic.lean
NNReal.exists_pos_sum_of_countable
[ { "state_after": "case intro\nα : Type ?u.476292\nβ : Type ?u.476295\nι✝ : Type ?u.476298\nε : ℝ≥0\nhε : ε ≠ 0\nι : Type u_1\ninst✝ : Countable ι\nval✝ : Encodable ι\n⊢ ∃ ε', (∀ (i : ι), 0 < ε' i) ∧ ∃ c, HasSum ε' c ∧ c < ε", "state_before": "α : Type ?u.476292\nβ : Type ?u.476295\nι✝ : Type ?u.476298\nε : ...
[ 497, 47 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 489, 1 ]
Mathlib/Algebra/Regular/Basic.lean
mul_isLeftRegular_iff
[]
[ 131, 73 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 129, 1 ]
Mathlib/Data/Finset/NAry.lean
Finset.biUnion_image_left
[ { "state_after": "α : Type u_2\nα' : Type ?u.56321\nβ : Type u_3\nβ' : Type ?u.56327\nγ : Type u_1\nγ' : Type ?u.56333\nδ : Type ?u.56336\nδ' : Type ?u.56339\nε : Type ?u.56342\nε' : Type ?u.56345\nζ : Type ?u.56348\nζ' : Type ?u.56351\nν : Type ?u.56354\ninst✝⁷ : DecidableEq α'\ninst✝⁶ : DecidableEq β'\ninst✝⁵...
[ 294, 34 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 291, 1 ]
Mathlib/Analysis/BoxIntegral/Basic.lean
BoxIntegral.HasIntegral.unique
[]
[ 253, 27 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 252, 1 ]
Mathlib/MeasureTheory/Integral/PeakFunction.lean
tendsto_set_integral_pow_smul_of_unique_maximum_of_isCompact_of_continuousOn
[ { "state_after": "α : Type u_1\nE : Type u_2\nι : Type ?u.898853\nhm : MeasurableSpace α\nμ : MeasureTheory.Measure α\ninst✝⁷ : TopologicalSpace α\ninst✝⁶ : BorelSpace α\ninst✝⁵ : NormedAddCommGroup E\ninst✝⁴ : NormedSpace ℝ E\ng : α → E\nl : Filter ι\nx₀ : α\ns : Set α\nφ : ι → α → ℝ\ninst✝³ : CompleteSpace E\...
[ 327, 48 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 319, 1 ]
Mathlib/MeasureTheory/Integral/SetIntegral.lean
MeasureTheory.set_integral_nonneg_ae
[ { "state_after": "no goals", "state_before": "α : Type u_1\nβ : Type ?u.293210\nE : Type ?u.293213\nF : Type ?u.293216\ninst✝ : MeasurableSpace α\nμ : Measure α\nf : α → ℝ\ns : Set α\nhs : MeasurableSet s\nhf : ∀ᵐ (a : α) ∂μ, a ∈ s → 0 ≤ f a\n⊢ 0 ≤ᵐ[Measure.restrict μ s] fun a => f a", "tactic": "rwa [E...
[ 741, 83 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 739, 1 ]
Mathlib/Logic/Basic.lean
bex_eq_left
[ { "state_after": "no goals", "state_before": "α : Sort u_1\nr p q : α → Prop\nP Q : (x : α) → p x → Prop\nb : Prop\na : α\n⊢ (∃ x x_1, p x) ↔ p a", "tactic": "simp only [exists_prop, exists_eq_left]" } ]
[ 1043, 42 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1042, 1 ]
Mathlib/Deprecated/Subgroup.lean
IsSubgroup.normalizer_isSubgroup
[ { "state_after": "no goals", "state_before": "G : Type u_1\nH : Type ?u.52507\nA : Type ?u.52510\na a₁ a₂ b c : G\ninst✝ : Group G\ns : Set G\n⊢ 1 ∈ normalizer s", "tactic": "simp [normalizer]" }, { "state_after": "no goals", "state_before": "G : Type u_1\nH : Type ?u.52507\nA : Type ?u.5251...
[ 312, 52 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 306, 1 ]
Mathlib/Logic/Equiv/List.lean
Denumerable.raise_chain
[]
[ 318, 73 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 316, 1 ]
Mathlib/MeasureTheory/Function/SimpleFuncDenseLp.lean
MeasureTheory.Lp.simpleFunc.coeFn_nonneg
[ { "state_after": "α : Type u_1\nβ : Type ?u.2310097\nι : Type ?u.2310100\nE : Type ?u.2310103\nF : Type ?u.2310106\n𝕜 : Type ?u.2310109\ninst✝³ : MeasurableSpace α\ninst✝² : NormedAddCommGroup E\ninst✝¹ : NormedAddCommGroup F\np : ℝ≥0∞\nμ : Measure α\nG : Type u_2\ninst✝ : NormedLatticeAddCommGroup G\nf : { x ...
[ 846, 15 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 841, 1 ]
Mathlib/Logic/Unique.lean
Unique.exists_iff
[]
[ 162, 58 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 161, 1 ]
Mathlib/MeasureTheory/Group/Measure.lean
MeasureTheory.MeasurePreserving.mul_left
[]
[ 139, 43 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 136, 1 ]
Mathlib/Data/Set/Lattice.lean
Set.iUnion₂_subset
[]
[ 291, 45 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 289, 1 ]
Mathlib/Order/UpperLower/Basic.lean
UpperSet.compl_iInf
[ { "state_after": "no goals", "state_before": "α : Type u_1\nβ : Type ?u.84580\nγ : Type ?u.84583\nι : Sort u_2\nκ : ι → Sort ?u.84591\ninst✝ : LE α\ns t : UpperSet α\na : α\nf : ι → UpperSet α\n⊢ ↑(compl (⨅ (i : ι), f i)) = ↑(⨅ (i : ι), compl (f i))", "tactic": "simp only [coe_compl, coe_iInf, compl_iUn...
[ 853, 86 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 852, 11 ]
Mathlib/Geometry/Manifold/LocalInvariantProperties.lean
LocalHomeomorph.isLocalStructomorphWithinAt_iff'
[ { "state_after": "H : Type u_1\nM : Type ?u.70247\nH' : Type ?u.70250\nM' : Type ?u.70253\nX : Type ?u.70256\ninst✝⁷ : TopologicalSpace H\ninst✝⁶ : TopologicalSpace M\ninst✝⁵ : ChartedSpace H M\ninst✝⁴ : TopologicalSpace H'\ninst✝³ : TopologicalSpace M'\ninst✝² : ChartedSpace H' M'\ninst✝¹ : TopologicalSpace X\...
[ 640, 52 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 631, 1 ]
Mathlib/Data/Real/Hyperreal.lean
Hyperreal.coe_min
[]
[ 145, 21 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 144, 1 ]
Mathlib/Algebra/Quaternion.lean
QuaternionAlgebra.star_eq_neg
[ { "state_after": "no goals", "state_before": "S : Type ?u.321798\nT : Type ?u.321801\nR : Type u_1\ninst✝² : CommRing R\nc₁✝ c₂✝ r x y z : R\na✝ b c : ℍ[R,c₁✝,c₂✝]\ninst✝¹ : NoZeroDivisors R\ninst✝ : CharZero R\nc₁ c₂ : R\na : ℍ[R,c₁,c₂]\n⊢ star a = -a ↔ a.re = 0", "tactic": "simp [QuaternionAlgebra.ext...
[ 701, 59 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 700, 1 ]
Mathlib/LinearAlgebra/Finsupp.lean
Finsupp.lmapDomain_comp
[]
[ 464, 40 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 462, 1 ]
Mathlib/Analysis/Convex/SimplicialComplex/Basic.lean
Geometry.SimplicialComplex.convexHull_subset_space
[ { "state_after": "case h.e'_3\n𝕜 : Type u_2\nE : Type u_1\nι : Type ?u.10317\ninst✝² : OrderedRing 𝕜\ninst✝¹ : AddCommGroup E\ninst✝ : Module 𝕜 E\nK : SimplicialComplex 𝕜 E\ns t : Finset E\nx : E\nhs : s ∈ K.faces\n⊢ ↑(convexHull 𝕜).toOrderHom ↑s = ↑(convexHull 𝕜).toOrderHom ↑s", "state_before": "𝕜 :...
[ 92, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 90, 1 ]
Mathlib/MeasureTheory/Integral/SetToL1.lean
MeasureTheory.L1.SimpleFunc.setToL1SCLM_const
[]
[ 964, 62 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 960, 1 ]
Mathlib/Topology/Homotopy/Contractible.lean
Homeomorph.contractibleSpace
[]
[ 102, 38 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 100, 11 ]
Mathlib/Topology/Algebra/ContinuousAffineMap.lean
ContinuousAffineMap.coe_mk
[]
[ 131, 79 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 131, 1 ]
Mathlib/GroupTheory/GroupAction/BigOperators.lean
Finset.smul_prod
[]
[ 72, 53 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 70, 1 ]
Mathlib/Order/Filter/Germ.lean
Filter.Germ.const_inv
[]
[ 460, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 459, 1 ]
Mathlib/Data/Polynomial/HasseDeriv.lean
Polynomial.hasseDeriv_eq_zero_of_lt_natDegree
[ { "state_after": "R : Type u_1\ninst✝ : Semiring R\nk : ℕ\nf p : R[X]\nn : ℕ\nh : natDegree p < n\n⊢ ∑ n_1 in support p, ↑(monomial (n_1 - n)) (↑(choose n_1 n) * coeff p n_1) = 0", "state_before": "R : Type u_1\ninst✝ : Semiring R\nk : ℕ\nf p : R[X]\nn : ℕ\nh : natDegree p < n\n⊢ ↑(hasseDeriv n) p = 0", ...
[ 102, 79 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 98, 1 ]
Mathlib/Analysis/SpecialFunctions/Trigonometric/Complex.lean
Complex.tan_int_mul_pi_div_two
[ { "state_after": "no goals", "state_before": "n : ℤ\n⊢ ∃ k, ↑n * ↑π / 2 = ↑k * ↑π / 2", "tactic": "use n" } ]
[ 80, 33 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 79, 1 ]
Mathlib/MeasureTheory/Measure/Haar/Basic.lean
MeasureTheory.Measure.haar.is_left_invariant_index
[ { "state_after": "G : Type u_1\ninst✝² : Group G\ninst✝¹ : TopologicalSpace G\ninst✝ : TopologicalGroup G\nK : Set G\nhK : IsCompact K\ng : G\nV : Set G\nhV : Set.Nonempty (interior V)\n⊢ index K V ≤ index ((fun h => g * h) '' K) V", "state_before": "G : Type u_1\ninst✝² : Group G\ninst✝¹ : TopologicalSpace...
[ 293, 80 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 289, 1 ]
Mathlib/Data/Multiset/Basic.lean
Multiset.countp_le_card
[]
[ 2230, 54 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 2229, 1 ]
Mathlib/Topology/Separation.lean
tendsto_nhds_unique'
[]
[ 969, 50 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 967, 1 ]
Mathlib/Data/Nat/Multiplicity.lean
Nat.Prime.multiplicity_mul
[]
[ 86, 28 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 84, 1 ]
Mathlib/AlgebraicGeometry/RingedSpace.lean
AlgebraicGeometry.RingedSpace.basicOpen_res
[ { "state_after": "case h\nX : RingedSpace\nV : (Opens ↑↑X.toPresheafedSpace)ᵒᵖ\nX✝ : Opens ↑↑X.toPresheafedSpace\ni : X✝.op ⟶ V\nf : ↑(X.presheaf.obj X✝.op)\n⊢ basicOpen X (↑(X.presheaf.map i) f) = V.unop ⊓ basicOpen X f", "state_before": "X : RingedSpace\nU V : (Opens ↑↑X.toPresheafedSpace)ᵒᵖ\ni : U ⟶ V\nf...
[ 214, 13 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 198, 1 ]
Mathlib/GroupTheory/Submonoid/Pointwise.lean
Submonoid.smul_mem_pointwise_smul_iff
[]
[ 280, 24 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 279, 1 ]
Mathlib/Data/Polynomial/Degree/Definitions.lean
Polynomial.degree_sub_le
[ { "state_after": "no goals", "state_before": "R : Type u\nS : Type v\na b c d : R\nn m : ℕ\ninst✝ : Ring R\np✝ q✝ p q : R[X]\n⊢ degree (p - q) ≤ max (degree p) (degree q)", "tactic": "simpa only [degree_neg q] using degree_add_le p (-q)" } ]
[ 1294, 55 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1293, 1 ]
Mathlib/Data/Complex/Exponential.lean
Real.cosh_sub
[ { "state_after": "no goals", "state_before": "x y : ℝ\n⊢ cosh (x - y) = cosh x * cosh y - sinh x * sinh y", "tactic": "simp [sub_eq_add_neg, cosh_add, sinh_neg, cosh_neg]" } ]
[ 1387, 54 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1386, 1 ]
Mathlib/Topology/Order/Basic.lean
Filter.Tendsto.min_right
[]
[ 737, 48 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 735, 1 ]
Mathlib/Topology/Algebra/UniformField.lean
UniformSpace.Completion.hatInv_extends
[]
[ 110, 94 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 109, 1 ]
Mathlib/CategoryTheory/Limits/Shapes/Pullbacks.lean
CategoryTheory.Limits.spanCompIso_inv_app_zero
[]
[ 376, 93 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 376, 1 ]
Mathlib/RingTheory/Ideal/Operations.lean
Ideal.pow_le_self
[]
[ 796, 23 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 793, 1 ]
Mathlib/Analysis/Convex/Side.lean
AffineSubspace.sSameSide_lineMap_right
[]
[ 743, 41 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 741, 1 ]
Mathlib/Data/Set/Lattice.lean
Set.surjOn_iInter_iInter
[]
[ 1617, 79 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1615, 1 ]
Mathlib/LinearAlgebra/AffineSpace/Combination.lean
Finset.weightedVSub_apply
[ { "state_after": "no goals", "state_before": "k : Type u_3\nV : Type u_1\nP : Type u_4\ninst✝² : Ring k\ninst✝¹ : AddCommGroup V\ninst✝ : Module k V\nS : AffineSpace V P\nι : Type u_2\ns : Finset ι\nι₂ : Type ?u.145502\ns₂ : Finset ι₂\nw : ι → k\np : ι → P\n⊢ ↑(weightedVSub s p) w = ∑ i in s, w i • (p i -ᵥ ...
[ 267, 43 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 265, 1 ]
Mathlib/Order/WithBot.lean
WithTop.le_none
[]
[ 838, 53 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 837, 1 ]
Mathlib/Algebra/Hom/NonUnitalAlg.lean
NonUnitalAlgHom.inl_apply
[]
[ 396, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 395, 1 ]
Mathlib/MeasureTheory/Integral/IntervalIntegral.lean
intervalIntegral.integral_ofReal
[]
[ 659, 34 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 657, 8 ]
Mathlib/Data/Complex/Basic.lean
Complex.sq_abs_sub_sq_im
[ { "state_after": "no goals", "state_before": "z : ℂ\n⊢ ↑abs z ^ 2 - z.im ^ 2 = z.re ^ 2", "tactic": "rw [← sq_abs_sub_sq_re, sub_sub_cancel]" } ]
[ 983, 42 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 982, 1 ]
Mathlib/CategoryTheory/Closed/Monoidal.lean
CategoryTheory.ihom.coev_ev
[]
[ 142, 59 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 141, 1 ]
Mathlib/RingTheory/Ideal/QuotientOperations.lean
DoubleQuot.liftSupQuotQuotMkₐ_toRingHom
[]
[ 737, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 735, 1 ]
Mathlib/Analysis/Convex/Measure.lean
Convex.nullMeasurableSet
[]
[ 91, 62 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 90, 11 ]
Mathlib/Algebra/Group/Basic.lean
div_ne_one
[]
[ 828, 23 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 827, 1 ]
Mathlib/Topology/Connected.lean
PreconnectedSpace.connectedComponent_eq_univ
[]
[ 798, 50 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 796, 1 ]
Mathlib/Analysis/Normed/Group/Basic.lean
ContinuousOn.nnnorm'
[]
[ 1250, 69 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1249, 1 ]
Mathlib/NumberTheory/ArithmeticFunction.lean
Nat.ArithmeticFunction.IsMultiplicative.nat_cast
[ { "state_after": "no goals", "state_before": "R : Type u_1\nf : ArithmeticFunction ℕ\ninst✝ : Semiring R\nh : IsMultiplicative f\n⊢ ↑↑f 1 = 1", "tactic": "simp [h]" }, { "state_after": "case intro\nR : Type u_1\nf : ArithmeticFunction ℕ\ninst✝ : Semiring R\nm n : ℕ\ncop : coprime m n\nleft✝ : ↑f...
[ 616, 74 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 613, 1 ]
Mathlib/NumberTheory/Zsqrtd/Basic.lean
Zsqrtd.zero_im
[]
[ 76, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 75, 1 ]
Mathlib/Order/RelIso/Basic.lean
RelEmbedding.isWellOrder
[]
[ 408, 67 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 407, 11 ]
Mathlib/LinearAlgebra/AdicCompletion.lean
IsHausdorff.iInf_pow_smul
[]
[ 129, 97 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 127, 1 ]
Mathlib/Topology/Semicontinuous.lean
lowerSemicontinuous_const
[]
[ 192, 30 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 191, 1 ]
Mathlib/Topology/SubsetProperties.lean
isIrreducible_iff_closure
[]
[ 1726, 62 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1725, 1 ]
Mathlib/Data/Nat/Choose/Sum.lean
Finset.prod_antidiagonal_pow_choose_succ
[ { "state_after": "R✝ : Type ?u.321125\nM✝ : Type ?u.321128\nR : Type ?u.321131\ninst✝² : CommMonoid M✝\ninst✝¹ : NonAssocSemiring R\nM : Type u_1\ninst✝ : CommMonoid M\nf : ℕ → ℕ → M\nn : ℕ\n⊢ (∏ i in range (n + 1), f i (n + 1 - i) ^ Nat.choose n i) * ∏ i in range (n + 1), f (i + 1) (n - i) ^ Nat.choose n i =\n...
[ 210, 37 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 200, 1 ]
Mathlib/CategoryTheory/Limits/Constructions/EpiMono.lean
CategoryTheory.reflects_mono_of_reflectsLimit
[ { "state_after": "C : Type u₁\nD : Type u₂\ninst✝³ : Category C\ninst✝² : Category D\nF : C ⥤ D\nX Y : C\nf : X ⟶ Y\ninst✝¹ : ReflectsLimit (cospan f f) F\ninst✝ : Mono (F.map f)\nthis : IsLimit (PullbackCone.mk (𝟙 (F.obj X)) (𝟙 (F.obj X)) (_ : 𝟙 (F.obj X) ≫ F.map f = 𝟙 (F.obj X) ≫ F.map f))\n⊢ Mono f", ...
[ 53, 88 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 49, 1 ]
Mathlib/Algebra/Algebra/Hom.lean
AlgHom.coe_mk'
[]
[ 299, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 298, 1 ]
Mathlib/Analysis/NormedSpace/LinearIsometry.lean
LinearIsometryEquiv.lipschitz
[]
[ 1011, 23 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1010, 11 ]
Mathlib/Data/List/Func.lean
List.Func.equiv_of_eq
[ { "state_after": "α : Type u\nβ : Type v\nγ : Type w\na : α\nas as1 as2 as3 : List α\ninst✝¹ : Inhabited α\ninst✝ : Inhabited β\nh1 : as1 = as2\n⊢ Equiv as1 as2", "state_before": "α : Type u\nβ : Type v\nγ : Type w\na : α\nas as1 as2 as3 : List α\ninst✝¹ : Inhabited α\ninst✝ : Inhabited β\n⊢ as1 = as2 → Equ...
[ 239, 90 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 239, 1 ]
Mathlib/Topology/PathConnected.lean
pathComponent_subset_component
[ { "state_after": "no goals", "state_before": "X : Type u_1\nY : Type ?u.625357\ninst✝¹ : TopologicalSpace X\ninst✝ : TopologicalSpace Y\nx✝ y✝ z : X\nι : Type ?u.625372\nF : Set X\nx y : X\nh : y ∈ pathComponent x\n⊢ ↑(Joined.somePath h) 0 = x", "tactic": "simp" }, { "state_after": "no goals", ...
[ 933, 96 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 931, 1 ]
Mathlib/Data/Pi/Lex.lean
Pi.toLex_update_lt_self_iff
[ { "state_after": "ι : Type u_1\nβ : ι → Type u_2\nr : ι → ι → Prop\ns : {i : ι} → β i → β i → Prop\ninst✝² : LinearOrder ι\ninst✝¹ : IsWellOrder ι fun x x_1 => x < x_1\ninst✝ : (i : ι) → PartialOrder (β i)\nx y : (i : ι) → β i\ni : ι\na : β i\n⊢ ↑toLex (update x i a) < ↑toLex x → a < x i", "state_before": "...
[ 164, 25 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 156, 1 ]
Mathlib/MeasureTheory/Function/L1Space.lean
MeasureTheory.L1.norm_def
[ { "state_after": "no goals", "state_before": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.1298892\nδ : Type ?u.1298895\nm : MeasurableSpace α\nμ ν : Measure α\ninst✝² : MeasurableSpace δ\ninst✝¹ : NormedAddCommGroup β\ninst✝ : NormedAddCommGroup γ\nf : { x // x ∈ Lp β 1 }\n⊢ ‖f‖ = ENNReal.toReal (∫⁻ (a : α), ↑‖...
[ 1309, 36 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1308, 1 ]
Mathlib/Order/Closure.lean
ClosureOperator.closure_iSup_closure
[]
[ 279, 52 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 277, 1 ]
Mathlib/Data/Set/Pointwise/SMul.lean
Set.vsub_iInter₂_subset
[]
[ 749, 36 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 747, 1 ]
Mathlib/CategoryTheory/Preadditive/Injective.lean
CategoryTheory.Injective.comp_factorThru
[]
[ 84, 38 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 82, 1 ]
Mathlib/Algebra/Order/Monoid/WithTop.lean
WithTop.top_add
[]
[ 146, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 145, 1 ]
Mathlib/Analysis/SpecificLimits/Normed.lean
NormedField.tendsto_norm_inverse_nhdsWithin_0_atTop
[]
[ 58, 83 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 56, 1 ]
Mathlib/RingTheory/Subsemiring/Basic.lean
Subsemiring.coe_add
[]
[ 382, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 381, 1 ]
Mathlib/Order/Basic.lean
max_rec
[]
[ 945, 29 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 944, 1 ]
Mathlib/Data/List/Sublists.lean
List.sublists_cons
[ { "state_after": "α : Type u\nβ : Type v\nγ : Type w\na : α\nl : List α\n⊢ (do\n let x ← sublists l\n map (fun x_1 => x_1 ++ x) (sublists [a])) =\n do\n let x ← sublists l\n [x, a :: x]", "state_before": "α : Type u\nβ : Type v\nγ : Type w\na : α\nl : List α\n⊢ sublists ([a] ++ l) = do\n ...
[ 174, 91 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 170, 1 ]
Mathlib/Topology/Algebra/Order/Floor.lean
tendsto_floor_left'
[]
[ 147, 48 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 145, 1 ]
Mathlib/Data/List/Lex.lean
List.lt_iff_lex_lt
[ { "state_after": "case mp\nα : Type u\ninst✝ : LinearOrder α\nl l' : List α\nh : lt l l'\n⊢ Lex (fun x x_1 => x < x_1) l l'\n\ncase mpr\nα : Type u\ninst✝ : LinearOrder α\nl l' : List α\nh : Lex (fun x x_1 => x < x_1) l l'\n⊢ lt l l'", "state_before": "α : Type u\ninst✝ : LinearOrder α\nl l' : List α\n⊢ lt ...
[ 206, 52 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 194, 1 ]
Mathlib/CategoryTheory/Equivalence.lean
CategoryTheory.Equivalence.Equivalence_mk'_counitInv
[]
[ 150, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 148, 1 ]
Mathlib/MeasureTheory/Function/SimpleFunc.lean
MeasureTheory.SimpleFunc.coe_range
[]
[ 116, 30 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 115, 1 ]
Mathlib/RingTheory/Ideal/QuotientOperations.lean
DoubleQuot.quotQuotEquivQuotOfLEₐ_toRingEquiv
[]
[ 826, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 824, 1 ]
Mathlib/Analysis/BoxIntegral/Box/Basic.lean
BoxIntegral.Box.diam_Icc_le_of_distortion_le
[ { "state_after": "case a0\nι : Type u_1\nI✝ J : Box ι\nx✝ y✝ : ι → ℝ\ninst✝ : Fintype ι\nI : Box ι\ni : ι\nc : ℝ≥0\nh : distortion I ≤ c\nthis : 0 ≤ ↑c * (upper I i - lower I i)\nx : ι → ℝ\nhx : x ∈ ↑Box.Icc I\ny : ι → ℝ\nhy : y ∈ ↑Box.Icc I\n⊢ 0 ≤ upper I i - lower I i", "state_before": "ι : Type u_1\nI✝ J...
[ 539, 92 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 531, 1 ]
Mathlib/Data/Finset/Pointwise.lean
Finset.pairwiseDisjoint_smul_iff
[ { "state_after": "no goals", "state_before": "F : Type ?u.780136\nα : Type u_1\nβ : Type ?u.780142\nγ : Type ?u.780145\ninst✝¹ : LeftCancelSemigroup α\ninst✝ : DecidableEq α\ns✝ t✝ : Finset α\na : α\ns : Set α\nt : Finset α\n⊢ (Set.PairwiseDisjoint s fun x => x • t) ↔ Set.InjOn (fun p => p.fst * p.snd) (s ×...
[ 1882, 83 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1880, 1 ]
Mathlib/Data/Set/Pointwise/Basic.lean
Set.empty_div
[]
[ 623, 20 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 622, 1 ]
Mathlib/Topology/Bornology/Basic.lean
Bornology.IsBounded.all
[]
[ 343, 49 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 342, 1 ]
Mathlib/CategoryTheory/Limits/Shapes/WideEqualizers.lean
CategoryTheory.Limits.Trident.equalizer_ext
[ { "state_after": "no goals", "state_before": "J : Type w\nC : Type u\ninst✝¹ : Category C\nX Y : C\nf : J → (X ⟶ Y)\ninst✝ : Nonempty J\ns : Trident f\nW : C\nk l : W ⟶ s.pt\nh : k ≫ ι s = l ≫ ι s\n⊢ k ≫ s.π.app one = l ≫ s.π.app one", "tactic": "rw [← s.app_zero (Classical.arbitrary J), reassoc_of% h]"...
[ 289, 71 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 286, 1 ]
Mathlib/Logic/Equiv/Fin.lean
finSuccEquiv'_symm_some_above
[]
[ 179, 28 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 177, 1 ]
Mathlib/Algebra/Module/LinearMap.lean
SemilinearMapClass.map_smul_inv
[ { "state_after": "no goals", "state_before": "R : Type u_2\nR₁ : Type ?u.71884\nR₂ : Type ?u.71887\nR₃ : Type ?u.71890\nk : Type ?u.71893\nS : Type u_1\nS₃ : Type ?u.71899\nT : Type ?u.71902\nM : Type u_5\nM₁ : Type ?u.71908\nM₂ : Type ?u.71911\nM₃ : Type u_3\nN₁ : Type ?u.71917\nN₂ : Type ?u.71920\nN₃ : Ty...
[ 179, 38 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 178, 1 ]
Mathlib/MeasureTheory/Function/L1Space.lean
MeasureTheory.all_ae_ofReal_F_le_bound
[]
[ 287, 51 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 285, 1 ]
Mathlib/Order/Bounds/Basic.lean
AntitoneOn.map_bddAbove
[]
[ 1240, 33 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1239, 1 ]
Mathlib/LinearAlgebra/AffineSpace/Combination.lean
centroid_mem_affineSpan_of_nonempty
[]
[ 1230, 84 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1228, 1 ]
Mathlib/GroupTheory/FreeAbelianGroup.lean
FreeAbelianGroup.map_id_apply
[ { "state_after": "α : Type u\nβ : Type v\nγ : Type w\nx : FreeAbelianGroup α\n⊢ ↑(AddMonoidHom.id (FreeAbelianGroup α)) x = x", "state_before": "α : Type u\nβ : Type v\nγ : Type w\nx : FreeAbelianGroup α\n⊢ ↑(map id) x = x", "tactic": "rw [map_id]" }, { "state_after": "no goals", "state_befo...
[ 381, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 379, 1 ]
Mathlib/Analysis/Convex/Slope.lean
StrictConvexOn.secant_strict_mono_aux1
[ { "state_after": "𝕜 : Type u_1\ninst✝ : LinearOrderedField 𝕜\ns : Set 𝕜\nf : 𝕜 → 𝕜\nhf : StrictConvexOn 𝕜 s f\nx y z : 𝕜\nhx : x ∈ s\nhz : z ∈ s\nhxy : x < y\nhyz : y < z\nhxy' : 0 < y - x\n⊢ (z - x) * f y < (z - y) * f x + (y - x) * f z", "state_before": "𝕜 : Type u_1\ninst✝ : LinearOrderedField 𝕜...
[ 308, 46 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 290, 1 ]
Mathlib/Analysis/Calculus/BumpFunctionInner.lean
Real.smoothTransition.continuous
[]
[ 242, 44 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 241, 11 ]
Mathlib/Data/Set/Pointwise/Basic.lean
Set.div_subset_div_right
[]
[ 696, 22 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 695, 1 ]
Mathlib/RingTheory/AlgebraicIndependent.lean
algebraicIndependent_equiv'
[]
[ 192, 35 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 190, 1 ]
Mathlib/Analysis/ODE/PicardLindelof.lean
PicardLindelof.dist_t₀_le
[ { "state_after": "E : Type u_1\ninst✝¹ : NormedAddCommGroup E\ninst✝ : NormedSpace ℝ E\nv : PicardLindelof E\nt : ↑(Icc v.tMin v.tMax)\n⊢ abs (↑t - ↑v.t₀) ≤ tDist v", "state_before": "E : Type u_1\ninst✝¹ : NormedAddCommGroup E\ninst✝ : NormedSpace ℝ E\nv : PicardLindelof E\nt : ↑(Icc v.tMin v.tMax)\n⊢ dist...
[ 138, 61 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 132, 1 ]
Mathlib/Analysis/Normed/Group/Basic.lean
preimage_mul_closedBall
[ { "state_after": "case h\n𝓕 : Type ?u.745296\n𝕜 : Type ?u.745299\nα : Type ?u.745302\nι : Type ?u.745305\nκ : Type ?u.745308\nE : Type u_1\nF : Type ?u.745314\nG : Type ?u.745317\ninst✝¹ : SeminormedCommGroup E\ninst✝ : SeminormedCommGroup F\na✝ a₁ a₂ b✝ b₁ b₂ : E\nr✝ r₁ r₂ : ℝ\na b : E\nr : ℝ\nc : E\n⊢ c ∈ (...
[ 1537, 95 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 1534, 1 ]
Mathlib/Data/Multiset/Basic.lean
Multiset.count_zero
[]
[ 2349, 6 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 2348, 1 ]
Mathlib/Algebra/GroupPower/Lemmas.lean
AddMonoidHom.apply_int
[ { "state_after": "no goals", "state_before": "α : Type ?u.353225\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✝ : AddGroup M\nf : ℤ →+ M\nn : ℤ\n⊢ ↑f n = n • ↑f 1", "tactic": "rw [← zmultiplesHom_symm_apply, ← zmultiplesHom_apply, Equiv.apply_sym...
[ 919, 81 ]
5a919533f110b7d76410134a237ee374f24eaaad
https://github.com/leanprover-community/mathlib4
[ 918, 1 ]