file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
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values | start list |
|---|---|---|---|---|---|---|
Mathlib/Topology/ContinuousFunction/Ordered.lean | ContinuousMap.sup'_apply | [] | [
123,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
121,
1
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Mathlib/Data/Int/Log.lean | Int.log_of_right_le_one | [
{
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73,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
69,
1
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Mathlib/Geometry/Euclidean/Angle/Unoriented/RightAngle.lean | InnerProductGeometry.angle_add_eq_arctan_of_inner_eq_zero | [
{
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108,
101
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102,
1
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Mathlib/Data/Nat/Log.lean | Nat.log_eq_zero_iff | [
{
"state_after": "b n : ℕ\n⊢ (∀ (h : b ≤ n ∧ 1 < b),\n (let_fun this := (_ : n / b < n);\n log b (n / b) + 1) =\n 0) ↔\n n < b ∨ b ≤ 1",
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},
{
"state_after": "no goals",
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45,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Combinatorics/Colex.lean | Colex.singleton_le_iff_le | [
{
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"tactic": "rw [le_iff_le_iff_lt_iff_lt, singleton_lt_iff_lt]"
}
] | [
307,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
305,
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Mathlib/Algebra/AddTorsor.lean | vsub_left_injective | [] | [
223,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
222,
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Mathlib/Topology/Sheaves/SheafCondition/UniqueGluing.lean | TopCat.Presheaf.isSheaf_iff_isSheafUniqueGluing_types | [] | [
202,
94
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
201,
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Mathlib/Data/Polynomial/AlgebraMap.lean | Polynomial.toFinsupp_algebraMap | [
{
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67,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
64,
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Mathlib/Algebra/GroupWithZero/Basic.lean | eq_zero_of_mul_self_eq_zero | [] | [
88,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
87,
1
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Mathlib/Analysis/Convex/Strict.lean | IsOpen.strictConvex_iff | [] | [
120,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
119,
1
] |
Mathlib/Analysis/Normed/Field/Basic.lean | norm_zpow | [] | [
586,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
585,
1
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Std/Logic.lean | or_self_left | [] | [
344,
92
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
344,
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Mathlib/Topology/Algebra/OpenSubgroup.lean | OpenSubgroup.ext | [] | [
120,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
119,
1
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Mathlib/Topology/LocalHomeomorph.lean | LocalHomeomorph.image_open_of_open | [
{
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652,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
649,
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Mathlib/SetTheory/Cardinal/Finite.lean | Nat.card_fun | [
{
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"tactic": "haveI := Fintype.ofFinite α"
},
{
"state_after... | [
122,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
120,
1
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Mathlib/MeasureTheory/Function/LpSpace.lean | MeasureTheory.Lp.coe_posPart | [] | [
1115,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1114,
1
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Mathlib/Algebra/Order/ToIntervalMod.lean | toIocDiv_add_left' | [
{
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"tactic": "rw [add_comm, toIocDiv_add_right']"
}
] | [
335,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
334,
1
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Mathlib/LinearAlgebra/Basic.lean | IsLinearMap.isLinearMap_add | [
{
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1574,
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Mathlib/Order/Filter/IndicatorFunction.lean | tendsto_indicator_biUnion_finset | [
{
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97,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
92,
1
] |
Mathlib/RingTheory/DedekindDomain/Ideal.lean | FractionalIdeal.le_self_mul_inv | [] | [
105,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
103,
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Mathlib/Analysis/Calculus/FDerivAnalytic.lean | AnalyticOn.iterated_deriv | [
{
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197,
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193,
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Mathlib/Algebra/TrivSqZeroExt.lean | TrivSqZeroExt.snd_add | [] | [
264,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
263,
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Mathlib/Data/Matrix/Basic.lean | Matrix.submatrix_id_id | [] | [
2390,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2389,
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Mathlib/Algebra/Hom/Ring.lean | RingHom.codomain_trivial_iff_map_one_eq_zero | [
{
"state_after": "no goals",
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"tactic": "rw [map_one, eq_comm]"
}
] | [
599,
97
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
599,
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Mathlib/Topology/ContinuousFunction/Algebra.lean | ContinuousMap.coe_div | [] | [
204,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
203,
1
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Mathlib/Topology/Maps.lean | IsClosedMap.closed_range | [] | [
512,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
511,
1
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Mathlib/Analysis/Asymptotics/SuperpolynomialDecay.lean | Asymptotics.superpolynomialDecay_iff_abs_tendsto_zero | [] | [
169,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
166,
1
] |
Std/Data/Nat/Lemmas.lean | Nat.mod_mod | [
{
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"tactic": "simp [n0, mod_zero]"
}
] | [
776,
50
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
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Mathlib/Data/Set/NAry.lean | Set.image2_insert_left | [
{
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205,
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Mathlib/Topology/UniformSpace/Basic.lean | uniformContinuous₂_curry | [
{
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1718,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1716,
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Mathlib/GroupTheory/Coset.lean | orbit_subgroup_eq_self_of_mem | [] | [
242,
76
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
241,
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Mathlib/CategoryTheory/Equivalence.lean | CategoryTheory.Equivalence.counit_app_functor | [
{
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177,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
174,
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Mathlib/Topology/LocalHomeomorph.lean | LocalHomeomorph.toLocalEquiv_injective | [] | [
121,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
120,
1
] |
Mathlib/RingTheory/PowerSeries/Basic.lean | MvPowerSeries.mul_zero | [
{
"state_after": "no goals",
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}
] | [
224,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
223,
11
] |
Mathlib/Data/Polynomial/Degree/Definitions.lean | Polynomial.degree_sub_eq_right_of_degree_lt | [
{
"state_after": "R : Type u\nS : Type v\na b c d : R\nn m : ℕ\ninst✝ : Ring R\np q : R[X]\nh : degree p < degree (-q)\n⊢ degree (p - q) = degree q",
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"tactic"... | [
1334,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1332,
1
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Mathlib/Analysis/Complex/OperatorNorm.lean | Complex.det_conjLie | [] | [
31,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
30,
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Mathlib/Topology/UniformSpace/Compact.lean | CompactSpace.uniformContinuous_of_continuous | [
{
"state_after": "no goals",
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"tactic": "rw [nhdsSet_diagonal_eq_uni... | [
175,
76
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
170,
1
] |
Mathlib/Analysis/SpecialFunctions/Trigonometric/Deriv.lean | HasFDerivAt.csinh | [] | [
515,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
513,
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Mathlib/RingTheory/UniqueFactorizationDomain.lean | UniqueFactorizationMonoid.induction_on_prime_power | [
{
"state_after": "α : Type u_1\nR : Type ?u.1472887\ninst✝⁴ : CancelCommMonoidWithZero R\ninst✝³ : UniqueFactorizationMonoid R\ninst✝² : CancelCommMonoidWithZero α\ninst✝¹ : UniqueFactorizationMonoid α\nβ : Type ?u.1472914\ninst✝ : CancelCommMonoidWithZero β\nP : α → Prop\ns : Finset α\ni : α → ℕ\nis_prime : ∀ ... | [
1090,
85
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1077,
1
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Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.nat_cast_pos | [] | [
2330,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2329,
1
] |
Mathlib/Order/Monotone/Monovary.lean | monovaryOn_const_right | [] | [
140,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
139,
1
] |
Mathlib/CategoryTheory/Sites/Sieves.lean | CategoryTheory.Sieve.functorPullback_inter | [] | [
701,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
699,
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Mathlib/Data/Fintype/Card.lean | Infinite.of_surjective | [] | [
1018,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1017,
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Mathlib/Algebra/Order/Monoid/Lemmas.lean | eq_one_of_one_le_mul_left | [] | [
1156,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1155,
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Mathlib/LinearAlgebra/Basis.lean | Basis.constr_basis | [
{
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Order/Filter/Ultrafilter.lean | Ultrafilter.ofComapInfPrincipal_eq_of_map | [
{
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544,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
535,
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Mathlib/Data/List/Basic.lean | List.sizeOf_dropSlice_lt | [
{
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{
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34
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Mathlib/Order/Bounds/Basic.lean | bddBelow_insert | [
{
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"tactic": "simp only [insert_eq, bddBelow_union, bddBelow_sin... | [
938,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/CategoryTheory/Limits/ExactFunctor.lean | CategoryTheory.LeftExactFunctor.ofExact_obj | [] | [
142,
6
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140,
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Mathlib/Topology/Instances/Matrix.lean | Summable.matrix_blockDiag' | [] | [
454,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
452,
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Mathlib/Order/OrderIsoNat.lean | exists_increasing_or_nonincreasing_subseq | [
{
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216,
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Mathlib/Data/Matrix/Basic.lean | Matrix.algebraMap_eq_smul | [] | [
1325,
6
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1324,
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Mathlib/MeasureTheory/Function/LpSpace.lean | MeasureTheory.Lp.edist_toLp_toLp | [
{
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300,
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Mathlib/Order/Filter/Bases.lean | Filter.mem_prod_self_iff | [] | [
943,
34
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942,
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Mathlib/Topology/Category/TopCat/Opens.lean | TopologicalSpace.Opens.mapIso_hom_app | [
{
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281,
6
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279,
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Mathlib/Algebra/Quaternion.lean | Quaternion.neg_imJ | [] | [
913,
51
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Mathlib/Topology/Category/TopCat/Opens.lean | TopologicalSpace.Opens.map_functor_eq | [] | [
402,
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400,
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Mathlib/Algebra/Order/Ring/Lemmas.lean | mulPosStrictMono_iff_mulPosMonoRev | [] | [
300,
89
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299,
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Mathlib/MeasureTheory/Function/SpecialFunctions/Basic.lean | Measurable.carg | [] | [
211,
25
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210,
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Mathlib/Data/Polynomial/Degree/Definitions.lean | Polynomial.natDegree_X_pow_le | [
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Mathlib/RingTheory/HahnSeries.lean | HahnSeries.C_mul_eq_smul | [] | [
1002,
26
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1001,
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Mathlib/Algebra/Ring/Defs.lean | boole_mul | [
{
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226,
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Mathlib/MeasureTheory/Integral/CircleIntegral.lean | CircleIntegrable.neg | [] | [
255,
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Mathlib/Data/Finsupp/Defs.lean | Finsupp.single_add | [
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Mathlib/Analysis/SpecialFunctions/Complex/LogDeriv.lean | DifferentiableWithinAt.clog | [] | [
140,
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137,
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Mathlib/MeasureTheory/Integral/SetToL1.lean | MeasureTheory.setToFun_mono | [
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1499,
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Mathlib/AlgebraicTopology/AlternatingFaceMapComplex.lean | AlgebraicTopology.AlternatingCofaceMapComplex.d_squared | [
{
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316,
87
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315,
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Mathlib/Topology/LocallyConstant/Basic.lean | IsLocallyConstant.comp_continuous | [
{
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151,
36
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Mathlib/SetTheory/Ordinal/Basic.lean | Ordinal.enum_le_enum | [
{
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1156,
44
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1154,
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Mathlib/Topology/Homotopy/Basic.lean | ContinuousMap.Homotopy.congr_fun | [] | [
199,
44
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198,
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Mathlib/CategoryTheory/Limits/Preserves/Shapes/BinaryProducts.lean | CategoryTheory.Limits.PreservesLimitPair.iso_hom | [] | [
101,
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100,
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Mathlib/Topology/Basic.lean | isOpen_iInter | [] | [
175,
56
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174,
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Mathlib/Init/Logic.lean | and_false_iff | [] | [
146,
69
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Mathlib/LinearAlgebra/Eigenspace/Basic.lean | Module.End.eigenspace_div | [
{
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137,
97
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128,
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Mathlib/Init/CcLemmas.lean | or_eq_of_eq_false_right | [] | [
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36
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Mathlib/MeasureTheory/Integral/MeanInequalities.lean | ENNReal.lintegral_mul_eq_zero_of_lintegral_rpow_eq_zero | [
{
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Mathlib/Order/SuccPred/Basic.lean | Order.Iio_succ_eq_insert_of_not_isMax | [] | [
461,
51
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460,
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Mathlib/LinearAlgebra/BilinearForm.lean | BilinForm.flip_flip_aux | [
{
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314,
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Mathlib/Algebra/Quaternion.lean | Quaternion.int_cast_imK | [] | [
1013,
57
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1013,
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Mathlib/CategoryTheory/Limits/Shapes/Kernels.lean | CategoryTheory.Limits.cokernel.π_of_zero | [] | [
1010,
26
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1009,
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Mathlib/GroupTheory/Nilpotent.lean | IsPGroup.isNilpotent | [
{
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877,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
862,
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Mathlib/CategoryTheory/Iso.lean | CategoryTheory.Iso.trans_assoc | [
{
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... | [
190,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
188,
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Mathlib/Topology/Connected.lean | isTotallyDisconnected_of_isTotallySeparated | [
{
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33
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Mathlib/Tactic/NormNum/Basic.lean | Mathlib.Meta.NormNum.isRat_inv_pos | [
{
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485,
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Mathlib/Order/Monotone/Monovary.lean | antivary_const_right | [] | [
106,
18
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105,
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src/lean/Init/Data/List/BasicAux.lean | List.get_append_right | [
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107,
41
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
102,
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Mathlib/Data/Real/GoldenRatio.lean | goldConj_sq | [
{
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},
{
"state_after": "⊢ sqrt 5 ^ 2 * (↑(Int.ofNat 1) / ↑4) + ↑(Int.negOfNat 5) * (↑(Int.ofNat 1) / ↑4) = 0",
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106,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
103,
1
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Mathlib/Logic/Basic.lean | ULift.down_injective | [
{
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72,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
71,
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.measure_trim_toMeasurable_eq_zero | [
{
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Mathlib/Geometry/Manifold/SmoothManifoldWithCorners.lean | LocalHomeomorph.extend_target_mem_nhdsWithin | [
{
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844,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
841,
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Mathlib/Order/Cover.lean | Wcovby.refl | [] | [
54,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
53,
1
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Mathlib/Data/UnionFind.lean | UnionFind.lt_rankMax' | [] | [
192,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
190,
1
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Mathlib/Analysis/NormedSpace/LinearIsometry.lean | Basis.ext_linearIsometryEquiv | [] | [
1202,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1200,
1
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Mathlib/Computability/Language.lean | Language.not_mem_zero | [] | [
101,
5
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
100,
1
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Mathlib/CategoryTheory/Sites/Coverage.lean | CategoryTheory.Presieve.isSheaf_coverage | [
{
"state_after": "case mp\nC : Type u_1\ninst✝ : Category C\nK : Coverage C\nP : Cᵒᵖ ⥤ Type w\n⊢ IsSheaf (toGrothendieck C K) P → ∀ {X : C} (R : Presieve X), R ∈ covering K X → IsSheafFor P R\n\ncase mpr\nC : Type u_1\ninst✝ : Category C\nK : Coverage C\nP : Cᵒᵖ ⥤ Type w\n⊢ (∀ {X : C} (R : Presieve X), R ∈ cove... | [
365,
11
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
297,
1
] |
Mathlib/Algebra/LinearRecurrence.lean | LinearRecurrence.is_sol_mkSol | [
{
"state_after": "α : Type u_1\ninst✝ : CommSemiring α\nE : LinearRecurrence α\ninit : Fin E.order → α\nn : ℕ\n⊢ mkSol E init (n + E.order) = ∑ i : Fin E.order, coeffs E i * mkSol E init (n + ↑i)",
"state_before": "α : Type u_1\ninst✝ : CommSemiring α\nE : LinearRecurrence α\ninit : Fin E.order → α\n⊢ IsSol... | [
91,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
88,
1
] |
Mathlib/Data/List/Cycle.lean | Cycle.forall_eq_of_chain | [
{
"state_after": "α : Type u_1\nr : α → α → Prop\ns : Cycle α\ninst✝¹ : IsTrans α r\ninst✝ : IsAntisymm α r\nhs : ∀ (a : α), a ∈ s → ∀ (b : α), b ∈ s → r a b\na b : α\nha : a ∈ s\nhb : b ∈ s\n⊢ a = b",
"state_before": "α : Type u_1\nr : α → α → Prop\ns : Cycle α\ninst✝¹ : IsTrans α r\ninst✝ : IsAntisymm α r... | [
1042,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1039,
1
] |
Mathlib/Data/Polynomial/Mirror.lean | Polynomial.mirror_mirror | [
{
"state_after": "no goals",
"state_before": "R : Type u_1\ninst✝ : Semiring R\np q : R[X]\nn : ℕ\n⊢ coeff (mirror (mirror p)) n = coeff p n",
"tactic": "rw [coeff_mirror, coeff_mirror, mirror_natDegree, mirror_natTrailingDegree, revAt_invol]"
}
] | [
128,
93
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
126,
1
] |
Mathlib/Algebra/Star/SelfAdjoint.lean | skewAdjoint.smul_mem | [
{
"state_after": "no goals",
"state_before": "R : Type u_1\nA : Type u_2\ninst✝⁶ : Star R\ninst✝⁵ : TrivialStar R\ninst✝⁴ : AddCommGroup A\ninst✝³ : StarAddMonoid A\ninst✝² : Monoid R\ninst✝¹ : DistribMulAction R A\ninst✝ : StarModule R A\nr : R\nx : A\nh : x ∈ skewAdjoint A\n⊢ r • x ∈ skewAdjoint A",
"... | [
515,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
513,
1
] |
Mathlib/Data/Polynomial/Basic.lean | Polynomial.C_ne_zero | [] | [
768,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
767,
1
] |
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