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Mathlib/LinearAlgebra/LinearPMap.lean | LinearPMap.sSup_aux | [
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Mathlib/MeasureTheory/Function/Jacobian.lean | MeasureTheory.aemeasurable_fderivWithin | [
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Mathlib/LinearAlgebra/Dimension.lean | rank_bot | [
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Mathlib/Order/GaloisConnection.lean | GaloisConnection.dfun | [] | [
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Mathlib/Data/Finset/Basic.lean | Finset.coe_injective | [] | [
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Mathlib/LinearAlgebra/AffineSpace/AffineMap.lean | AffineMap.coe_lineMap | [] | [
514,
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Mathlib/MeasureTheory/Integral/Bochner.lean | MeasureTheory.integral_eq_lintegral_of_nonneg_ae | [
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Mathlib/Algebra/Order/Interval.lean | NonemptyInterval.div_mem_div | [] | [
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Mathlib/Algebra/TrivSqZeroExt.lean | TrivSqZeroExt.inl_mul | [
{
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"tactic": "rw [smul_zero, zero_add, smul_zero]"
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98
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Mathlib/Order/UpperLower/Basic.lean | lowerClosure_eq_bot_iff | [] | [
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Mathlib/RingTheory/TensorProduct.lean | Algebra.TensorProduct.map_comp_includeLeft | [
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Mathlib/Deprecated/Subgroup.lean | IsGroupHom.one_iff_ker_inv' | [] | [
386,
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Mathlib/Data/Set/Basic.lean | Set.ball_empty_iff | [] | [
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Mathlib/Order/ConditionallyCompleteLattice/Basic.lean | le_csInf_iff'' | [] | [
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Mathlib/Data/Set/NAry.lean | Set.image3_congr' | [] | [
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Mathlib/Data/Set/Finite.lean | Set.Infinite.prod_left | [] | [
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.measure_closedBall_lt_top | [] | [
3955,
43
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3953,
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Mathlib/RingTheory/PowerSeries/Basic.lean | PowerSeries.coeff_zero_C | [
{
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1420,
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Mathlib/Analysis/Convex/Cone/Basic.lean | ConvexCone.mem_top | [] | [
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Mathlib/LinearAlgebra/Dimension.lean | maximal_linearIndependent_eq_infinite_basis | [
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Mathlib/Data/Nat/Cast/Basic.lean | Nat.cast_mul | [
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Mathlib/Data/Nat/Fib.lean | Nat.gcd_fib_add_mul_self | [
{
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Mathlib/Data/Polynomial/Reverse.lean | Polynomial.revAt_zero | [
{
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Mathlib/NumberTheory/Padics/PadicVal.lean | padicValRat.mul | [
{
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297,
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Mathlib/InformationTheory/Hamming.lean | Hamming.ofHamming_inj | [] | [
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Mathlib/Topology/UniformSpace/Equicontinuity.lean | EquicontinuousAt.closure' | [
{
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Mathlib/Algebra/Homology/ComplexShape.lean | ComplexShape.next_eq' | [
{
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Mathlib/Probability/Kernel/Basic.lean | ProbabilityTheory.kernel.integral_piecewise | [
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Mathlib/Topology/UniformSpace/Basic.lean | UniformSpace.hasBasis_ofFun | [] | [
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Mathlib/Data/Num/Lemmas.lean | Num.pred_succ | [
{
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{
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Mathlib/GroupTheory/Solvable.lean | derivedSeries_succ | [] | [
55,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Algebra/Homology/Augment.lean | CochainComplex.augmentTruncate_inv_f_zero | [] | [
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Mathlib/Computability/Ackermann.lean | sq_le_two_pow_add_one_minus_three | [
{
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{
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46
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Mathlib/Order/JordanHolder.lean | CompositionSeries.Equivalent.snoc_snoc_swap | [
{
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Mathlib/CategoryTheory/Monoidal/Mod_.lean | Mod_.assoc_flip | [
{
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Mathlib/Dynamics/OmegaLimit.lean | Flow.omegaLimit_image_subset | [
{
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Mathlib/Topology/Algebra/InfiniteSum/Order.lean | sum_le_tsum | [] | [
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Mathlib/Order/GaloisConnection.lean | GaloisInsertion.l_sInf_u_image | [
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Mathlib/LinearAlgebra/SymplecticGroup.lean | Matrix.J_transpose | [
{
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Mathlib/Algebra/Quaternion.lean | Quaternion.coe_injective | [] | [
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Mathlib/Algebra/Associated.lean | associated_of_dvd_dvd | [
{
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Mathlib/MeasureTheory/Measure/OuterMeasure.lean | MeasureTheory.inducedOuterMeasure_union_of_false_of_nonempty_inter | [] | [
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98
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Mathlib/Data/Sum/Basic.lean | Function.Bijective.sum_map | [] | [
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75
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Mathlib/Topology/LocalHomeomorph.lean | LocalHomeomorph.image_source_eq_target | [] | [
311,
40
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Mathlib/RingTheory/Valuation/Quotient.lean | Valuation.supp_quot_supp | [
{
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Mathlib/Analysis/SpecialFunctions/Exp.lean | Real.exp_half | [
{
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Mathlib/FieldTheory/Minpoly/Basic.lean | minpoly.ne_zero | [] | [
63,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
62,
1
] |
Mathlib/Analysis/Calculus/DiffContOnCl.lean | diffContOnCl_const | [] | [
56,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
55,
1
] |
Mathlib/GroupTheory/GroupAction/Defs.lean | MulAction.toFun_apply | [] | [
607,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
606,
1
] |
Mathlib/Data/List/Range.lean | List.nodup_range | [
{
"state_after": "no goals",
"state_before": "α : Type u\nn : ℕ\n⊢ Nodup (range n)",
"tactic": "simp only [range_eq_range', nodup_range']"
}
] | [
85,
94
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
85,
1
] |
Std/Data/Int/DivMod.lean | Int.div_dvd_div | [
{
"state_after": "no goals",
"state_before": "a b c : Int\naz : a = 0\n⊢ div (a * b) a ∣ div (a * b * c) a",
"tactic": "simp [az]"
},
{
"state_after": "a b c : Int\naz : ¬a = 0\n⊢ b ∣ b * c",
"state_before": "a b c : Int\naz : ¬a = 0\n⊢ div (a * b) a ∣ div (a * b * c) a",
"tactic": "rw [... | [
733,
28
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
730,
1
] |
Mathlib/Order/RelClasses.lean | Set.unbounded_of_isEmpty | [] | [
547,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
546,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/WideEqualizers.lean | CategoryTheory.Limits.Cotrident.app_one | [
{
"state_after": "no goals",
"state_before": "J : Type w\nC : Type u\ninst✝ : Category C\nX Y : C\nf : J → (X ⟶ Y)\ns : Cotrident f\nj : J\n⊢ f j ≫ s.ι.app one = s.ι.app zero",
"tactic": "rw [← s.w (line j), parallelFamily_map_left]"
}
] | [
228,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
227,
1
] |
Mathlib/Order/GaloisConnection.lean | GaloisInsertion.l_iSup_u | [] | [
544,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
540,
1
] |
Mathlib/Data/Real/ENNReal.lean | ENNReal.mul_le_iff_le_inv | [
{
"state_after": "no goals",
"state_before": "α : Type ?u.298762\nβ : Type ?u.298765\na✝ b✝ c d : ℝ≥0∞\nr✝ p q : ℝ≥0\na b r : ℝ≥0∞\nhr₀ : r ≠ 0\nhr₁ : r ≠ ⊤\n⊢ r * a ≤ b ↔ a ≤ r⁻¹ * b",
"tactic": "rw [← @ENNReal.mul_le_mul_left _ a _ hr₀ hr₁, ← mul_assoc, ENNReal.mul_inv_cancel hr₀ hr₁,\n one_mul]"
}... | [
1658,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1656,
1
] |
Mathlib/Topology/MetricSpace/Infsep.lean | Set.relatively_discrete_of_finite | [
{
"state_after": "α : Type u_1\nβ : Type ?u.52764\ninst✝¹ : EMetricSpace α\nx y z : α\ns t : Set α\nC : ℝ≥0∞\nsC : Set ℝ≥0∞\ninst✝ : Finite ↑s\n⊢ 0 < einfsep s",
"state_before": "α : Type u_1\nβ : Type ?u.52764\ninst✝¹ : EMetricSpace α\nx y z : α\ns t : Set α\nC : ℝ≥0∞\nsC : Set ℝ≥0∞\ninst✝ : Finite ↑s\n⊢ ∃... | [
308,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
305,
1
] |
Mathlib/MeasureTheory/Measure/VectorMeasure.lean | MeasureTheory.VectorMeasure.sub_apply | [] | [
373,
87
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
373,
1
] |
Mathlib/RingTheory/FractionalIdeal.lean | FractionalIdeal.coe_eq | [] | [
172,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
171,
1
] |
Mathlib/Data/Set/Intervals/Basic.lean | Set.not_mem_Iic | [] | [
1048,
9
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1047,
1
] |
Mathlib/Order/CompleteLattice.lean | iInf_congr | [] | [
699,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
698,
1
] |
Mathlib/Data/Finset/PImage.lean | Finset.pimage_union | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type u_2\ninst✝³ : DecidableEq β\nf g : α →. β\ninst✝² : (x : α) → Decidable (f x).Dom\ninst✝¹ : (x : α) → Decidable (g x).Dom\ns t : Finset α\nb : β\ninst✝ : DecidableEq α\n⊢ ↑(pimage f (s ∪ t)) = ↑(pimage f s ∪ pimage f t)",
"tactic": "si... | [
105,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
103,
1
] |
Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean | Complex.cos_int_mul_two_pi_sub_pi | [
{
"state_after": "no goals",
"state_before": "n : ℤ\n⊢ cos (↑n * (2 * ↑π) - ↑π) = -1",
"tactic": "simpa only [cos_zero] using (cos_periodic.int_mul n).sub_antiperiod_eq cos_antiperiodic"
}
] | [
1276,
90
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1275,
1
] |
Mathlib/Algebra/Order/Monoid/Lemmas.lean | StrictMono.mul' | [] | [
1440,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1437,
1
] |
Mathlib/Combinatorics/Quiver/Path.lean | Quiver.Path.comp_inj_right | [] | [
162,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
161,
1
] |
Mathlib/Data/Polynomial/Splits.lean | Polynomial.degree_eq_card_roots' | [
{
"state_after": "no goals",
"state_before": "F : Type u\nK : Type v\nL : Type w\ninst✝² : CommRing K\ninst✝¹ : Field L\ninst✝ : Field F\ni✝ : K →+* L\np : K[X]\ni : K →+* L\np_ne_zero : map i p ≠ 0\nhsplit : Splits i p\n⊢ degree (map i p) = ↑(↑Multiset.card (roots (map i p)))",
"tactic": "simp [degree_... | [
227,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
225,
1
] |
Mathlib/Algebra/Free.lean | FreeMagma.pure_bind | [] | [
184,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
184,
1
] |
Mathlib/Data/Set/Semiring.lean | SetSemiring.down_mul | [] | [
159,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
158,
1
] |
Mathlib/LinearAlgebra/Matrix/Determinant.lean | Matrix.det_updateRow_add | [] | [
393,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
391,
1
] |
Mathlib/LinearAlgebra/AffineSpace/Ordered.lean | lineMap_le_lineMap_iff_of_lt | [
{
"state_after": "k : Type u_1\nE : Type u_2\nPE : Type ?u.86541\ninst✝³ : LinearOrderedField k\ninst✝² : OrderedAddCommGroup E\ninst✝¹ : Module k E\ninst✝ : OrderedSMul k E\na b : E\nr r' : k\nh : r < r'\n⊢ (1 - r) • a + r • b ≤ (1 - r') • a + r' • b ↔ a ≤ b",
"state_before": "k : Type u_1\nE : Type u_2\nP... | [
133,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
130,
1
] |
Mathlib/MeasureTheory/Measure/Haar/OfBasis.lean | Basis.parallelepiped_map | [] | [
230,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
222,
1
] |
Mathlib/Data/TypeVec.lean | TypeVec.dropFun_appendFun | [] | [
218,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
216,
1
] |
Mathlib/LinearAlgebra/Alternating.lean | LinearMap.smulRight_eq_comp | [] | [
513,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
510,
1
] |
Mathlib/MeasureTheory/Measure/Haar/Quotient.lean | MeasureTheory.IsFundamentalDomain.smulInvariantMeasure_map | [
{
"state_after": "G : Type u_1\ninst✝⁹ : Group G\ninst✝⁸ : MeasurableSpace G\ninst✝⁷ : TopologicalSpace G\ninst✝⁶ : TopologicalGroup G\ninst✝⁵ : BorelSpace G\nμ : Measure G\nΓ : Subgroup G\n𝓕 : Set G\nh𝓕 : IsFundamentalDomain { x // x ∈ ↑Subgroup.opposite Γ } 𝓕\ninst✝⁴ : Countable { x // x ∈ Γ }\ninst✝³ : Me... | [
93,
8
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
64,
1
] |
Mathlib/Logic/Encodable/Basic.lean | Encodable.decode_option_zero | [] | [
179,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
178,
1
] |
Std/Data/Int/Lemmas.lean | Int.sub_right_lt_of_lt_add | [
{
"state_after": "a b c : Int\nh✝ : a < b + c\nh : a + -c < b + c + -c\n⊢ a - c < b",
"state_before": "a b c : Int\nh : a < b + c\n⊢ a - c < b",
"tactic": "have h := Int.add_lt_add_right h (-c)"
},
{
"state_after": "no goals",
"state_before": "a b c : Int\nh✝ : a < b + c\nh : a + -c < b + c ... | [
1085,
38
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
1083,
11
] |
src/lean/Init/Core.lean | Iff.of_eq | [] | [
678,
17
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
677,
1
] |
Mathlib/MeasureTheory/Integral/PeakFunction.lean | tendsto_set_integral_peak_smul_of_integrableOn_of_continuousWithinAt | [
{
"state_after": "α : Type u_1\nE : Type u_3\nι : Type u_2\nhm : MeasurableSpace α\nμ : MeasureTheory.Measure α\ninst✝⁴ : TopologicalSpace α\ninst✝³ : BorelSpace α\ninst✝² : NormedAddCommGroup E\ninst✝¹ : NormedSpace ℝ E\ng : α → E\nl : Filter ι\nx₀ : α\ns : Set α\nφ : ι → α → ℝ\ninst✝ : CompleteSpace E\nhs : M... | [
186,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
163,
1
] |
Mathlib/Data/Rat/Defs.lean | Rat.num_den' | [] | [
109,
73
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
109,
1
] |
Mathlib/Data/Dfinsupp/Basic.lean | Dfinsupp.prod_comm | [] | [
1760,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1754,
1
] |
Mathlib/Data/Sum/Basic.lean | Sum.lex_acc_inl | [
{
"state_after": "case intro\nα : Type u\nα' : Type w\nβ : Type v\nβ' : Type x\nγ : Type ?u.32006\nδ : Type ?u.32009\nr r₁ r₂ : α → α → Prop\ns s₁ s₂ : β → β → Prop\na✝¹ a₁ a₂ : α\nb b₁ b₂ : β\nx y : α ⊕ β\na✝ a : α\nh✝ : ∀ (y : α), r y a → Acc r y\nIH : ∀ (y : α), r y a → Acc (Lex r s) (inl y)\n⊢ Acc (Lex r s)... | [
532,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
527,
1
] |
Mathlib/Analysis/NormedSpace/Basic.lean | coe_homeomorphUnitBall_apply_zero | [
{
"state_after": "no goals",
"state_before": "α : Type ?u.180835\nβ : Type ?u.180838\nγ : Type ?u.180841\nι : Type ?u.180844\ninst✝⁶ : NormedField α\ninst✝⁵ : SeminormedAddCommGroup β\nE : Type u_1\ninst✝⁴ : SeminormedAddCommGroup E\ninst✝³ : NormedSpace α E\nF : Type ?u.180875\ninst✝² : SeminormedAddCommGr... | [
225,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
224,
1
] |
Mathlib/Algebra/EuclideanDomain/Defs.lean | EuclideanDomain.div_zero | [] | [
172,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
171,
1
] |
Mathlib/CategoryTheory/EssentiallySmall.lean | CategoryTheory.EssentiallySmall.mk' | [] | [
46,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
44,
1
] |
Mathlib/Algebra/Order/SMul.lean | bddAbove_smul_iff_of_pos | [] | [
296,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
295,
1
] |
Mathlib/Data/Fintype/Pi.lean | Fintype.piFinset_disjoint_of_disjoint | [] | [
79,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
75,
1
] |
Mathlib/LinearAlgebra/FiniteDimensional.lean | FiniteDimensional.fact_finiteDimensional_of_finrank_eq_succ | [
{
"state_after": "case h.e'_4\nK : Type u\nV : Type v\ninst✝⁵ : DivisionRing K\ninst✝⁴ : AddCommGroup V\ninst✝³ : Module K V\nV₂ : Type v'\ninst✝² : AddCommGroup V₂\ninst✝¹ : Module K V₂\nn : ℕ\ninst✝ : Fact (finrank K V = n + 1)\n⊢ finrank K V = Nat.succ n",
"state_before": "K : Type u\nV : Type v\ninst✝⁵ ... | [
217,
76
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
215,
1
] |
Mathlib/Algebra/Order/Ring/Lemmas.lean | mul_right_cancel_iff_of_pos | [] | [
528,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
526,
1
] |
Mathlib/Geometry/Manifold/LocalInvariantProperties.lean | StructureGroupoid.LocalInvariantProp.liftPropWithinAt_inter | [] | [
373,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
371,
1
] |
Mathlib/Algebra/Group/Units.lean | Units.inv_mul_cancel_left | [
{
"state_after": "no goals",
"state_before": "α : Type u\ninst✝ : Monoid α\na✝ b✝ c u a : αˣ\nb : α\n⊢ ↑a⁻¹ * (↑a * b) = b",
"tactic": "rw [← mul_assoc, inv_mul, one_mul]"
}
] | [
291,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
290,
1
] |
Mathlib/Analysis/NormedSpace/PiLp.lean | PiLp.edist_self | [
{
"state_after": "case inl\n𝕜 : Type ?u.8431\n𝕜' : Type ?u.8434\nι : Type u_1\nα : ι → Type ?u.8442\nβ : ι → Type u_2\ninst✝¹ : Fintype ι\ninst✝ : (i : ι) → PseudoEMetricSpace (β i)\nf : PiLp 0 β\n⊢ edist f f = 0\n\ncase inr.inl\n𝕜 : Type ?u.8431\n𝕜' : Type ?u.8434\nι : Type u_1\nα : ι → Type ?u.8442\nβ : ι... | [
176,
97
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
172,
11
] |
Mathlib/RingTheory/AlgebraicIndependent.lean | algebraicIndependent_comp_subtype | [
{
"state_after": "ι : Type u_1\nι' : Type ?u.541666\nR : Type u_2\nK : Type ?u.541672\nA : Type u_3\nA' : Type ?u.541678\nA'' : Type ?u.541681\nV : Type u\nV' : Type ?u.541686\nx : ι → A\ninst✝⁶ : CommRing R\ninst✝⁵ : CommRing A\ninst✝⁴ : CommRing A'\ninst✝³ : CommRing A''\ninst✝² : Algebra R A\ninst✝¹ : Algebr... | [
298,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
291,
1
] |
Mathlib/Algebra/Order/SMul.lean | eq_of_smul_eq_smul_of_pos_of_le | [] | [
115,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
114,
1
] |
Mathlib/NumberTheory/Liouville/LiouvilleWith.lean | LiouvilleWith.nat_sub | [] | [
311,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
310,
1
] |
Mathlib/Data/Real/Irrational.lean | Irrational.of_mul_self | [] | [
471,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
470,
1
] |
Mathlib/Data/TypeVec.lean | TypeVec.snd_prod_mk | [
{
"state_after": "case h\nn : ℕ\nα α' β β' : TypeVec n\nf : α ⟹ β\ng : α' ⟹ β'\ni : Fin2 n\n⊢ (prod.snd ⊚ (f ⊗' g)) i = (g ⊚ prod.snd) i",
"state_before": "n : ℕ\nα α' β β' : TypeVec n\nf : α ⟹ β\ng : α' ⟹ β'\n⊢ prod.snd ⊚ (f ⊗' g) = g ⊚ prod.snd",
"tactic": "funext i"
},
{
"state_after": "case ... | [
581,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
577,
1
] |
Mathlib/Data/Nat/Factorization/Basic.lean | Nat.factorization_zero_right | [] | [
178,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
177,
1
] |
Std/Data/List/Lemmas.lean | List.mem_iota | [
{
"state_after": "no goals",
"state_before": "m n : Nat\n⊢ m ∈ iota n ↔ 1 ≤ m ∧ m ≤ n",
"tactic": "simp [iota_eq_reverse_range', Nat.add_comm, Nat.lt_succ]"
}
] | [
1939,
59
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
1938,
1
] |
Mathlib/Algebra/GroupWithZero/Basic.lean | inv_mul_cancel | [
{
"state_after": "no goals",
"state_before": "α : Type ?u.16217\nM₀ : Type ?u.16220\nG₀ : Type u_1\nM₀' : Type ?u.16226\nG₀' : Type ?u.16229\nF : Type ?u.16232\nF' : Type ?u.16235\ninst✝ : GroupWithZero G₀\na b c g h✝ x : G₀\nh : a ≠ 0\n⊢ a⁻¹ * a = a⁻¹ * a * a⁻¹ * a⁻¹⁻¹",
"tactic": "simp [inv_ne_zero h]... | [
264,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
260,
1
] |
Mathlib/Data/Multiset/Fold.lean | Multiset.fold_singleton | [] | [
95,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
94,
1
] |
Mathlib/Order/Filter/AtTopBot.lean | Filter.subseq_forall_of_frequently | [
{
"state_after": "ι✝ : Type ?u.371220\nι' : Type ?u.371223\nα : Type ?u.371226\nβ : Type ?u.371229\nγ : Type ?u.371232\nι : Type u_1\nx : ℕ → ι\np : ι → Prop\nl : Filter ι\nh_tendsto : ∀ (x_1 : ℕ → ℕ), Tendsto x_1 atTop atTop → Tendsto (x ∘ x_1) atTop l\nh : ∃ᶠ (n : ℕ) in atTop, p (x n)\n⊢ ∃ ns, Tendsto (fun n ... | [
1880,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1875,
1
] |
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