file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
values | url stringclasses 4
values | start list |
|---|---|---|---|---|---|---|
Mathlib/MeasureTheory/MeasurableSpace.lean | MeasurableSpace.measurable_injection_nat_bool_of_countablyGenerated | [
{
"state_after": "case intro.intro\nα : Type u_1\nβ : Type ?u.887190\nγ : Type ?u.887193\nδ : Type ?u.887196\nδ' : Type ?u.887199\nι : Sort uι\ns t u : Set α\ninst✝¹ : MeasurableSpace α\nh : CountablyGenerated α\ninst✝ : MeasurableSingletonClass α\nb : Set (Set α)\nbct : Set.Countable b\nhb : inst✝¹ = generateF... | [
1678,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1649,
1
] |
Mathlib/Data/Polynomial/EraseLead.lean | Polynomial.eraseLead_card_support | [
{
"state_after": "case pos\nR : Type u_1\ninst✝ : Semiring R\nf : R[X]\nc : ℕ\nfc : card (support f) = c\nf0 : f = 0\n⊢ card (support (eraseLead f)) = c - 1\n\ncase neg\nR : Type u_1\ninst✝ : Semiring R\nf : R[X]\nc : ℕ\nfc : card (support f) = c\nf0 : ¬f = 0\n⊢ card (support (eraseLead f)) = c - 1",
"state... | [
121,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
117,
1
] |
Mathlib/GroupTheory/Torsion.lean | IsTorsionFree.subgroup | [
{
"state_after": "no goals",
"state_before": "G : Type u_1\nH✝ : Type ?u.212858\ninst✝ : Group G\ntG : IsTorsionFree G\nH : Subgroup G\nh : { x // x ∈ H }\nhne : h ≠ 1\n⊢ ↑h ≠ 1",
"tactic": "norm_cast"
}
] | [
406,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
403,
1
] |
Mathlib/Analysis/Calculus/Deriv/Inv.lean | DifferentiableOn.inv | [] | [
159,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
158,
1
] |
Mathlib/Analysis/Calculus/Series.lean | summable_of_summable_hasFDerivAt_of_isPreconnected | [
{
"state_after": "α : Type u_1\nβ : Type ?u.18790\n𝕜 : Type u_3\nE : Type u_2\nF : Type u_4\ninst✝⁵ : IsROrC 𝕜\ninst✝⁴ : NormedAddCommGroup E\ninst✝³ : NormedSpace 𝕜 E\ninst✝² : NormedAddCommGroup F\ninst✝¹ : CompleteSpace F\nu : α → ℝ\ninst✝ : NormedSpace 𝕜 F\nf : α → E → F\nf' : α → E → E →L[𝕜] F\nv : ℕ ... | [
119,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
109,
1
] |
Mathlib/Data/FunLike/Basic.lean | FunLike.ext_iff | [] | [
184,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
183,
1
] |
Mathlib/Topology/UniformSpace/Basic.lean | uniformity_hasBasis_open_symmetric | [
{
"state_after": "α : Type ua\nβ : Type ub\nγ : Type uc\nδ : Type ud\nι : Sort ?u.93600\ninst✝ : UniformSpace α\n⊢ HasBasis (𝓤 α) (fun V => (V ∈ 𝓤 α ∧ IsOpen V) ∧ SymmetricRel V) id",
"state_before": "α : Type ua\nβ : Type ub\nγ : Type uc\nδ : Type ud\nι : Sort ?u.93600\ninst✝ : UniformSpace α\n⊢ HasBasis... | [
1053,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1047,
1
] |
Mathlib/Dynamics/PeriodicPts.lean | Function.minimalPeriod_eq_prime | [] | [
418,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
415,
1
] |
Mathlib/RingTheory/Multiplicity.lean | multiplicity.isUnit_left | [] | [
185,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
184,
1
] |
Mathlib/Logic/Basic.lean | bex_def | [] | [
1023,
65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1022,
1
] |
Mathlib/Analysis/InnerProductSpace/Symmetric.lean | LinearMap.IsSymmetric.restrictScalars | [
{
"state_after": "no goals",
"state_before": "𝕜 : Type u_1\nE : Type u_2\nE' : Type ?u.63572\nF : Type ?u.63575\nG : Type ?u.63578\ninst✝⁸ : IsROrC 𝕜\ninst✝⁷ : NormedAddCommGroup E\ninst✝⁶ : InnerProductSpace 𝕜 E\ninst✝⁵ : NormedAddCommGroup F\ninst✝⁴ : InnerProductSpace 𝕜 F\ninst✝³ : NormedAddCommGroup... | [
140,
87
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
136,
1
] |
Mathlib/RingTheory/Ideal/Operations.lean | Ideal.radical_top | [] | [
874,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
873,
1
] |
Mathlib/Topology/Algebra/Monoid.lean | ContinuousAt.mul | [] | [
222,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
220,
1
] |
Mathlib/RingTheory/Valuation/Quotient.lean | AddValuation.comap_onQuot_eq | [] | [
128,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
126,
1
] |
Mathlib/LinearAlgebra/AnnihilatingPolynomial.lean | Polynomial.annIdealGenerator_eq_zero_iff | [
{
"state_after": "no goals",
"state_before": "𝕜 : Type u_1\nA : Type u_2\ninst✝² : Field 𝕜\ninst✝¹ : Ring A\ninst✝ : Algebra 𝕜 A\na : A\n⊢ annIdealGenerator 𝕜 a = 0 ↔ annIdeal 𝕜 a = ⊥",
"tactic": "simp only [annIdealGenerator, mul_eq_zero, IsPrincipal.eq_bot_iff_generator_eq_zero,\n Polynomial.C_e... | [
97,
85
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
95,
1
] |
Mathlib/Topology/UniformSpace/Separation.lean | separationRel_eq_inter_closure | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nγ : Type w\ninst✝² : UniformSpace α\ninst✝¹ : UniformSpace β\ninst✝ : UniformSpace γ\n⊢ 𝓢 α = ⋂₀ (closure '' (𝓤 α).sets)",
"tactic": "simp [uniformity_hasBasis_closure.separationRel]"
}
] | [
194,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
193,
1
] |
Mathlib/Algebra/Associated.lean | eq_of_prime_pow_eq | [
{
"state_after": "α : Type ?u.250626\nβ : Type ?u.250629\nγ : Type ?u.250632\nδ : Type ?u.250635\nR : Type u_1\ninst✝¹ : CancelCommMonoidWithZero R\ninst✝ : Unique Rˣ\np₁ p₂ : R\nk₁ k₂ : ℕ\nhp₁ : Prime p₁\nhp₂ : Prime p₂\nhk₁ : 0 < k₁\nh✝ : p₁ ^ k₁ = p₂ ^ k₂\nh : p₁ ^ k₁ ~ᵤ p₂ ^ k₂\n⊢ p₁ ~ᵤ p₂",
"state_befo... | [
719,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
716,
1
] |
Mathlib/Data/Complex/Module.lean | Complex.toMatrix_conjAe | [
{
"state_after": "case a.h\ni j : Fin 2\n⊢ ↑(LinearMap.toMatrix basisOneI basisOneI) (AlgEquiv.toLinearMap conjAe) i j = ↑Matrix.of ![![1, 0], ![0, -1]] i j",
"state_before": "⊢ ↑(LinearMap.toMatrix basisOneI basisOneI) (AlgEquiv.toLinearMap conjAe) = ↑Matrix.of ![![1, 0], ![0, -1]]",
"tactic": "ext (i ... | [
311,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
307,
1
] |
Mathlib/FieldTheory/IsAlgClosed/Classification.lean | Algebra.IsAlgebraic.cardinal_mk_le_max | [
{
"state_after": "R L : Type u\ninst✝⁴ : CommRing R\ninst✝³ : CommRing L\ninst✝² : IsDomain L\ninst✝¹ : Algebra R L\ninst✝ : NoZeroSMulDivisors R L\nhalg : IsAlgebraic R L\n⊢ (#(p : R[X]) × { x // x ∈ Polynomial.roots (Polynomial.map (algebraMap R L) p) }) =\n (#(i : R[X]) × ↑{x | x ∈ Polynomial.roots (Polyn... | [
80,
89
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
68,
1
] |
Mathlib/Analysis/NormedSpace/Star/Basic.lean | CstarRing.norm_one | [
{
"state_after": "𝕜 : Type ?u.69584\nE : Type u_1\nα : Type ?u.69590\ninst✝³ : NormedRing E\ninst✝² : StarRing E\ninst✝¹ : CstarRing E\ninst✝ : Nontrivial E\nthis : 0 < ‖1‖\n⊢ ‖1‖ = 1",
"state_before": "𝕜 : Type ?u.69584\nE : Type u_1\nα : Type ?u.69590\ninst✝³ : NormedRing E\ninst✝² : StarRing E\ninst✝¹ ... | [
211,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
209,
1
] |
Mathlib/MeasureTheory/Function/SimpleFunc.lean | MeasureTheory.SimpleFunc.mul_apply | [] | [
518,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
517,
1
] |
Mathlib/Topology/UniformSpace/Separation.lean | UniformSpace.uniformContinuous_quotient_lift | [] | [
304,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
302,
1
] |
Mathlib/Algebra/MonoidAlgebra/Support.lean | AddMonoidAlgebra.support_mul | [] | [
125,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
123,
1
] |
Mathlib/Data/Int/Bitwise.lean | Int.bodd_neg | [
{
"state_after": "no goals",
"state_before": "n : ℤ\n⊢ bodd (-n) = bodd n",
"tactic": "cases n with\n| ofNat =>\n rw [←negOfNat_eq, bodd_negOfNat]\n simp\n| negSucc n =>\n rw [neg_negSucc, bodd_coe, Nat.bodd_succ]\n change (!Nat.bodd n) = !(bodd n)\n rw [bodd_coe]"
},
{
"state_after": "case... | [
71,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
63,
1
] |
Mathlib/Analysis/Calculus/FDeriv/Basic.lean | HasStrictFDerivAt.hasFDerivAt | [
{
"state_after": "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.203108\ninst✝³ : NormedAddCommGroup G\ninst✝² : NormedSpace 𝕜 G\nG' : Type ?u.203203\... | [
433,
87
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
430,
11
] |
Mathlib/Analysis/Calculus/FDeriv/Comp.lean | HasFDerivWithinAt.comp | [] | [
97,
81
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
94,
1
] |
Mathlib/Topology/Bornology/Basic.lean | Bornology.comap_cobounded_le_iff | [
{
"state_after": "ι : Type ?u.5624\nα : Type u_2\nβ : Type u_1\ninst✝¹ : Bornology α\ns✝ t : Set α\nx : α\ninst✝ : Bornology β\nf : α → β\nh : comap f (cobounded β) ≤ cobounded α\ns : Set α\nhs : IsBounded s\n⊢ IsBounded (f '' s)",
"state_before": "ι : Type ?u.5624\nα : Type u_2\nβ : Type u_1\ninst✝¹ : Born... | [
228,
96
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
221,
1
] |
src/lean/Init/Control/Lawful.lean | Id.bind_eq | [] | [
92,
73
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
92,
9
] |
Mathlib/Order/SuccPred/Basic.lean | Order.Ico_succ_right_of_not_isMax | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝¹ : Preorder α\ninst✝ : SuccOrder α\na b : α\nhb : ¬IsMax b\n⊢ Ico a (succ b) = Icc a b",
"tactic": "rw [← Ici_inter_Iio, Iio_succ_of_not_isMax hb, Ici_inter_Iic]"
}
] | [
312,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
311,
1
] |
Mathlib/Logic/Unique.lean | Function.Injective.subsingleton | [] | [
227,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
226,
11
] |
Mathlib/Topology/Sheaves/SheafCondition/PairwiseIntersections.lean | TopCat.Presheaf.isSheaf_iff_isSheafPreservesLimitPairwiseIntersections | [
{
"state_after": "C : Type u\ninst✝ : Category C\nX : TopCat\nF : Presheaf C X\n⊢ IsSheafPairwiseIntersections F ↔ IsSheafPreservesLimitPairwiseIntersections F",
"state_before": "C : Type u\ninst✝ : Category C\nX : TopCat\nF : Presheaf C X\n⊢ IsSheaf F ↔ IsSheafPreservesLimitPairwiseIntersections F",
"t... | [
302,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
294,
1
] |
Mathlib/Data/Fin/Tuple/Basic.lean | Fin.cons_left_injective | [] | [
114,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
113,
1
] |
Mathlib/Data/Finset/Prod.lean | Finset.Nonempty.fst | [] | [
197,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
195,
1
] |
Mathlib/Data/Set/Intervals/WithBotTop.lean | WithTop.image_coe_Ioo | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝ : PartialOrder α\na b : α\n⊢ some '' Ioo a b = Ioo ↑a ↑b",
"tactic": "rw [← preimage_coe_Ioo, image_preimage_eq_inter_range, range_coe,\n inter_eq_self_of_subset_left (Subset.trans Ioo_subset_Iio_self <| Iio_subset_Iio le_top)]"
}
] | [
127,
94
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
125,
1
] |
Mathlib/Deprecated/Subgroup.lean | Additive.isAddSubgroup | [] | [
66,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
65,
1
] |
Mathlib/MeasureTheory/Integral/Layercake.lean | Measure.meas_le_ne_meas_lt_subset_meas_pos | [
{
"state_after": "α : Type u_2\ninst✝⁵ : MeasurableSpace α\nμ : MeasureTheory.Measure α\nβ : Type ?u.395934\ninst✝⁴ : MeasurableSpace β\ninst✝³ : MeasurableSingletonClass β\nR : Type u_1\ninst✝² : LinearOrder R\ninst✝¹ : MeasurableSpace R\ninst✝ : MeasurableSingletonClass R\ng : α → R\ng_mble : Measurable g\nt ... | [
295,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
276,
1
] |
Mathlib/Data/Ordmap/Ordset.lean | Ordnode.length_toList' | [
{
"state_after": "α : Type u_1\nsize✝ : ℕ\nl : Ordnode α\nx✝ : α\nr : Ordnode α\n⊢ realSize l + Nat.succ (realSize r) = realSize (node size✝ l x✝ r)",
"state_before": "α : Type u_1\nsize✝ : ℕ\nl : Ordnode α\nx✝ : α\nr : Ordnode α\n⊢ List.length (toList (node size✝ l x✝ r)) = realSize (node size✝ l x✝ r)",
... | [
558,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
554,
1
] |
Mathlib/Algebra/EuclideanDomain/Defs.lean | EuclideanDomain.val_dvd_le | [
{
"state_after": "R : Type u\ninst✝ : EuclideanDomain R\nb : R\nha : b * 0 ≠ 0\n⊢ b * 0 = 0",
"state_before": "R : Type u\ninst✝ : EuclideanDomain R\nb d : R\nha : b * d ≠ 0\n⊢ d = 0 → b * d = 0",
"tactic": "rintro rfl"
},
{
"state_after": "no goals",
"state_before": "R : Type u\ninst✝ : Euc... | [
167,
86
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
166,
1
] |
Mathlib/CategoryTheory/Preadditive/Yoneda/Basic.lean | CategoryTheory.whiskering_preadditiveCoyoneda | [] | [
132,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
128,
1
] |
Mathlib/Topology/ContinuousFunction/Algebra.lean | max_eq_half_add_add_abs_sub | [
{
"state_after": "case inl\nR : Type u_1\ninst✝ : LinearOrderedField R\nx y : R\nh : x ≤ y\n⊢ y + y = x + y + (y - x)",
"state_before": "R : Type u_1\ninst✝ : LinearOrderedField R\nx y : R\n⊢ max x y = 2⁻¹ * (x + y + abs (x - y))",
"tactic": "cases' le_total x y with h h <;> field_simp [h, abs_of_nonneg... | [
922,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
920,
1
] |
Mathlib/RingTheory/Ideal/Operations.lean | Submodule.smul_mono | [] | [
154,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
153,
1
] |
Mathlib/Data/Finset/LocallyFinite.lean | Finset.Ici_eq_cons_Ioi | [
{
"state_after": "no goals",
"state_before": "ι : Type ?u.115956\nα : Type u_1\ninst✝¹ : PartialOrder α\ninst✝ : LocallyFiniteOrderTop α\na : α\n⊢ Ici a = cons a (Ioi a) (_ : ¬a ∈ Ioi a)",
"tactic": "classical rw [cons_eq_insert, Ioi_insert]"
},
{
"state_after": "no goals",
"state_before": "... | [
699,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
698,
1
] |
Mathlib/Data/Set/Pointwise/Support.lean | support_comp_inv_smul₀ | [
{
"state_after": "case h\nα : Type u_2\nβ : Type u_3\nγ : Type u_1\ninst✝² : GroupWithZero α\ninst✝¹ : MulAction α β\ninst✝ : Zero γ\nc : α\nhc : c ≠ 0\nf : β → γ\nx : β\n⊢ (x ∈ support fun x => f (c⁻¹ • x)) ↔ x ∈ c • support f",
"state_before": "α : Type u_2\nβ : Type u_3\nγ : Type u_1\ninst✝² : GroupWithZ... | [
62,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
59,
1
] |
Mathlib/Data/Ordmap/Ordset.lean | Ordnode.dual_rotateL | [
{
"state_after": "case node\nα : Type u_1\nl : Ordnode α\nx : α\nsize✝ : ℕ\nl✝ : Ordnode α\nx✝ : α\nr✝ : Ordnode α\n⊢ dual (if size l✝ < ratio * size r✝ then node3L l x l✝ x✝ r✝ else node4L l x l✝ x✝ r✝) =\n if size l✝ < ratio * size r✝ then node3R (dual r✝) x✝ (dual l✝) x (dual l)\n else node4R (dual r✝)... | [
338,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
335,
1
] |
Std/Data/BinomialHeap.lean | Std.BinomialHeapImp.Heap.WellFormed.tail | [
{
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Mathlib/Data/Set/Semiring.lean | SetSemiring.one_def | [] | [
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Mathlib/RingTheory/PowerBasis.lean | PowerBasis.aeval_minpolyGen | [
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Mathlib/Algebra/Order/Ring/Lemmas.lean | mul_lt_of_lt_one_of_lt_of_pos | [] | [
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Mathlib/Data/Finset/Pointwise.lean | Finset.inv_subset_inv | [] | [
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Mathlib/LinearAlgebra/Dual.lean | Submodule.mem_dualCoannihilator | [
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Mathlib/Analysis/Asymptotics/Theta.lean | Asymptotics.isTheta_norm_left | [
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Mathlib/MeasureTheory/Constructions/BorelSpace/Basic.lean | measurableSet_uIcc | [] | [
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Mathlib/Topology/LocalHomeomorph.lean | TopologicalSpace.Opens.localHomeomorphSubtypeCoe_source | [] | [
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Mathlib/CategoryTheory/Extensive.lean | CategoryTheory.FinitaryExtensive.vanKampen | [
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Mathlib/Data/Finset/LocallyFinite.lean | Finset.Ico_diff_Ioo_self | [
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Mathlib/Order/Filter/Bases.lean | Filter.HasBasis.isBasis | [
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Mathlib/Analysis/Calculus/FDerivAnalytic.lean | HasFPowerSeriesOnBall.fderiv_eq | [] | [
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Mathlib/Order/ConditionallyCompleteLattice/Basic.lean | GaloisConnection.l_csSup' | [
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Mathlib/MeasureTheory/Integral/IntegrableOn.lean | integrableOn_Icc_iff_integrableOn_Ioc' | [
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Mathlib/Data/PNat/Xgcd.lean | PNat.gcd_rel_right' | [] | [
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Mathlib/Data/Real/CauSeqCompletion.lean | CauSeq.Completion.ofRat_add | [] | [
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Mathlib/ModelTheory/Definability.lean | FirstOrder.Language.DefinableSet.mem_compl | [] | [
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Mathlib/Tactic/Group.lean | Mathlib.Tactic.Group.zpow_trick | [
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Arctan.lean | Real.surjOn_tan | [
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Mathlib/Topology/Inseparable.lean | SeparationQuotient.continuous_mk | [] | [
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Mathlib/RingTheory/IntegralClosure.lean | normalizeScaleRoots_eval₂_leadingCoeff_mul | [
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Deriv.lean | Real.deriv_sin | [] | [
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Mathlib/Topology/UnitInterval.lean | unitInterval.div_mem | [] | [
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Mathlib/Topology/UniformSpace/Basic.lean | Uniform.continuous_iff'_right | [] | [
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Mathlib/Analysis/InnerProductSpace/PiL2.lean | EuclideanSpace.inner_single_left | [
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Mathlib/Logic/Equiv/Defs.lean | Equiv.equivCongr_refl | [
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Mathlib/Logic/Equiv/Basic.lean | Equiv.sumCompl_apply_symm_of_neg | [] | [
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Mathlib/MeasureTheory/Decomposition/Lebesgue.lean | MeasureTheory.Measure.singularPart_le | [
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Mathlib/Data/Fintype/Card.lean | Fintype.card_of_finset' | [
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Mathlib/Data/Multiset/Sum.lean | Multiset.disjSum_lt_disjSum_of_lt_of_le | [] | [
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Mathlib/Algebra/Order/Field/Basic.lean | div_lt_div | [] | [
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Mathlib/Data/List/Basic.lean | List.foldr_nil | [] | [
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Mathlib/Geometry/Manifold/SmoothManifoldWithCorners.lean | contDiffGroupoid_prod | [
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Mathlib/Init/Algebra/Classes.lean | eq_of_incomp | [] | [
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Mathlib/CategoryTheory/Limits/Shapes/Pullbacks.lean | CategoryTheory.Limits.spanExt_app_one | [
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Mathlib/Algebra/Star/SelfAdjoint.lean | skewAdjoint.val_smul | [] | [
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Mathlib/LinearAlgebra/TensorPower.lean | TensorPower.mul_one | [
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Mathlib/Topology/MetricSpace/HausdorffDistance.lean | Metric.cthickening_mem_nhdsSet | [] | [
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Mathlib/Algebra/Ring/Basic.lean | vieta_formula_quadratic | [
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Mathlib/CategoryTheory/Over.lean | CategoryTheory.Under.isoMk_inv_right | [] | [
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Mathlib/Data/Part.lean | Part.sdiff_get_eq | [
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Mathlib/CategoryTheory/Equivalence.lean | CategoryTheory.Equivalence.invFunIdAssoc_hom_app | [
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Mathlib/Order/Bounds/Basic.lean | bddAbove_def | [] | [
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Mathlib/Algebra/Order/Rearrangement.lean | Monovary.sum_comp_perm_smul_eq_sum_smul_iff | [
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Mathlib/Order/MinMax.lean | min_eq_left_iff | [] | [
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Mathlib/Data/Set/Pointwise/SMul.lean | Set.smul_set_subset_smul | [] | [
296,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
295,
1
] |
Mathlib/Data/Finset/Sups.lean | Finset.infs_subset_right | [] | [
271,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
270,
1
] |
Mathlib/GroupTheory/MonoidLocalization.lean | Submonoid.LocalizationMap.symm_comp_ofMulEquivOfLocalizations_apply' | [] | [
1426,
99
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1425,
1
] |
Mathlib/Data/Finset/Basic.lean | Finset.toList_singleton | [] | [
3399,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
3398,
1
] |
Mathlib/CategoryTheory/Equivalence.lean | CategoryTheory.Equivalence.cancel_unitInv_right | [
{
"state_after": "no goals",
"state_before": "C : Type u₁\ninst✝² : Category C\nD : Type u₂\ninst✝¹ : Category D\nE : Type u₃\ninst✝ : Category E\ne : C ≌ D\nX Y : C\nf f' : X ⟶ e.inverse.obj (e.functor.obj Y)\n⊢ f ≫ (unitInv e).app Y = f' ≫ (unitInv e).app Y ↔ f = f'",
"tactic": "simp only [cancel_mono... | [
392,
86
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
391,
1
] |
Mathlib/SetTheory/Ordinal/Arithmetic.lean | not_surjective_of_ordinal | [] | [
2124,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2123,
1
] |
Mathlib/Data/Finset/Prod.lean | Finset.diag_singleton | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.128187\nγ : Type ?u.128190\ninst✝ : DecidableEq α\ns t : Finset α\nx : α × α\na : α\n⊢ diag {a} = {(a, a)}",
"tactic": "rw [← product_sdiff_offDiag, offDiag_singleton, sdiff_empty, singleton_product_singleton]"
}
] | [
413,
92
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
412,
1
] |
Mathlib/Data/Real/ENNReal.lean | ENNReal.two_ne_top | [] | [
403,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
403,
1
] |
Mathlib/Algebra/Star/SelfAdjoint.lean | IsSelfAdjoint.all | [] | [
71,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
70,
1
] |
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