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/Data/Real/ENNReal.lean | ENNReal.ofReal_add | [
{
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"tactic": "rw [ENNReal.ofReal, ENNReal.ofReal, ENNReal.ofReal, ← coe_add, coe_eq_coe,\n ... | [
1976,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1973,
1
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Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.comp_bfamilyOfFamily' | [] | [
1222,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1220,
1
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Mathlib/LinearAlgebra/Dual.lean | Subspace.dualRestrict_surjective | [] | [
1048,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1047,
1
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Mathlib/Data/Matrix/Basic.lean | Matrix.transpose_sub | [
{
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1996,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1994,
1
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Std/Data/List/Lemmas.lean | List.exists_of_replaceF | [
{
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"tactic": "simp [pb]"
},
{
"state_after": "no goals",
"s... | [
1333,
57
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
1321,
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Mathlib/LinearAlgebra/Matrix/NonsingularInverse.lean | Matrix.mul_invOf_self | [] | [
77,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
76,
11
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Mathlib/Data/Real/NNReal.lean | NNReal.div_lt_iff' | [] | [
837,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
836,
1
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Mathlib/Algebra/Order/Monoid/Lemmas.lean | MonotoneOn.mul' | [] | [
1350,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1347,
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Mathlib/RingTheory/PowerBasis.lean | PowerBasis.exists_eq_aeval' | [
{
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138,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
135,
1
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Mathlib/CategoryTheory/GlueData.lean | CategoryTheory.GlueData.diagramIso_hom_app_left | [] | [
318,
6
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316,
1
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Mathlib/Data/Nat/Prime.lean | Nat.Primes.coe_nat_inj | [] | [
783,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
782,
1
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Mathlib/Data/Finset/Prod.lean | Finset.image_swap_product | [
{
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"state_before": "α : Type u_2\nβ : Type u_1\nγ : Type ?u.18234\ns✝ s' : Finset α\nt✝ t' : Finset β\... | [
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Mathlib/Topology/Maps.lean | QuotientMap.continuous_iff | [
{
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"... | [
314,
93
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Topology/MetricSpace/Basic.lean | Metric.dist_lt_add_of_nonempty_ball_inter_closedBall | [
{
"state_after": "α : Type u\nβ : Type v\nX : Type ?u.42927\nι : Type ?u.42930\ninst✝ : PseudoMetricSpace α\nx y z : α\nδ ε ε₁ ε₂ : ℝ\ns : Set α\nh : Set.Nonempty (closedBall y ε₂ ∩ ball x ε₁)\n⊢ dist x y < ε₁ + ε₂",
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56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
638,
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Mathlib/MeasureTheory/Function/Jacobian.lean | MeasureTheory.mul_le_addHaar_image_of_lt_det | [
{
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463,
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395,
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Mathlib/Analysis/Convex/Hull.lean | subset_convexHull | [] | [
57,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
56,
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Mathlib/NumberTheory/ArithmeticFunction.lean | Nat.ArithmeticFunction.IsMultiplicative.eq_iff_eq_on_prime_powers | [
{
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44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Computability/TuringMachine.lean | Turing.Tape.move_left_mk' | [
{
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"tactic": "simp only [Tape.move, Tape.mk', ListBlank.head_cons, eq_self_iff_true, ListBlank.cons_head_tail,\n an... | [
587,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/CategoryTheory/Limits/Shapes/BinaryProducts.lean | CategoryTheory.Limits.prod.comp_diag | [
{
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"tactic": "simp"
}
] | [
712,
10
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711,
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Mathlib/Data/Set/Image.lean | Set.image_empty | [
{
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Mathlib/Order/Filter/Basic.lean | Filter.mem_iInf_finset | [
{
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"state_before": "α : Type u\nβ : Type v\nγ : T... | [
903,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
892,
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Mathlib/Algebra/Homology/HomologicalComplex.lean | ChainComplex.mk'_X_0 | [] | [
765,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
764,
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Mathlib/Data/Seq/Seq.lean | Stream'.Seq.mem_rec_on | [
{
"state_after": "case intro\nα : Type u\nβ : Type v\nγ : Type w\nC : Seq α → Prop\na : α\ns : Seq α\nh1 : ∀ (b : α) (s' : Seq α), a = b ∨ C s' → C (cons b s')\nk : ℕ\ne : (fun b => some a = b) (nth (↑s) k)\n⊢ C s",
"state_before": "α : Type u\nβ : Type v\nγ : Type w\nC : Seq α → Prop\na : α\ns : Seq α\nM :... | [
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Mathlib/Data/Set/Pointwise/Basic.lean | Set.div_iInter₂_subset | [] | [
810,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
808,
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Mathlib/Data/List/Basic.lean | List.foldl_assoc | [
{
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"tactic": "simp only [fold... | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Order/UpperLower/Basic.lean | IsLowerSet.not_bddBelow | [
{
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"s... | [
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/Quot.lean | Quotient.eq | [] | [
301,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
300,
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Mathlib/Data/List/BigOperators/Basic.lean | List.prod_inv | [
{
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"state_before": "ι : Type ?u.118773\nα : Type ?u.118776\nM : Type ?u.118779\nN : Type ?u.118782\nP : Type ?u.118785\nM₀ : Type ?u.118788\nG : Type u_1\nR : Type ?u.118794\ninst✝ : CommGroup G\n⊢ (prod [])⁻¹ = prod (map (fun x => x⁻¹) [])",
"tactic": "simp"
},
{
"stat... | [
450,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Topology/MetricSpace/EMetricSpace.lean | EMetric.tendsto_atTop | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nX : Type ?u.224214\ninst✝² : PseudoEMetricSpace α\nx y z : α\nε ε₁ ε₂ : ℝ≥0∞\ns t : Set α\ninst✝¹ : Nonempty β\ninst✝ : SemilatticeSup β\nu : β → α\na : α\n⊢ (∀ (ib : ℝ≥0∞), 0 < ib → ∃ ia, True ∧ ∀ (x : β), x ∈ Ici ia → u x ∈ ball a ib) ↔... | [
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728,
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Mathlib/Topology/Basic.lean | continuous_iff_isClosed | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.170252\nδ : Type ?u.170255\ninst✝² : TopologicalSpace α\ninst✝¹ : TopologicalSpace β\ninst✝ : TopologicalSpace γ\nf : α → β\n⊢ (∀ (x : Set β), IsOpen (xᶜ) → IsOpen (f ⁻¹' xᶜ)) ↔ ∀ (s : Set β), IsClosed s → IsClosed (f ⁻¹' ... | [
1712,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1710,
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Mathlib/Topology/Algebra/Order/ExtendFrom.lean | eq_lim_at_left_extendFrom_Ioo | [
{
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Mathlib/MeasureTheory/CardMeasurableSpace.lean | MeasurableSpace.generateMeasurableRec_subset | [
{
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Mathlib/LinearAlgebra/Basic.lean | Submodule.neg_coe | [] | [
1052,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1051,
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Mathlib/Data/Real/ENNReal.lean | ENNReal.toReal_iInf | [
{
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"tactic": "simp only [ENNReal.toReal, toNNReal_iInf hf, NNReal.coe_iInf]... | [
2381,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2380,
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Mathlib/Analysis/SpecialFunctions/Log/Base.lean | Real.logb_nonpos_iff_of_base_lt_one | [
{
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"tactic": "rw [← not_lt, logb_pos_iff_of_base_lt_one b_pos b_lt_one hx, not_lt]"
}
] | [
315,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
314,
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Mathlib/Analysis/Asymptotics/AsymptoticEquivalent.lean | Asymptotics.IsEquivalent.isBigO_symm | [
{
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"... | [
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Mathlib/Data/Finset/NoncommProd.lean | Finset.noncommProd_eq_prod | [
{
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Mathlib/Topology/Spectral/Hom.lean | IsCompact.preimage_of_isOpen | [] | [
49,
40
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47,
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Mathlib/LinearAlgebra/LinearIndependent.lean | linearIndependent_fin_succ' | [
{
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"state_before": "ι : Type u'\nι' : Type ?u.1251029\nR : Type ?u.1251032\nK : Type u_1\nM : Type ?u.1251038\nM' : Type ?u.1251041\nM'' : Type ?u.1251044\nV : Type u\nV' : Type ?u.1251049\ninst✝⁴ : DivisionRing K\ninst✝³ : AddCommGroup V\ninst✝² : AddCommGroup V'\ninst✝¹ : Module ... | [
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Mathlib/Analysis/Calculus/Deriv/Inv.lean | DifferentiableWithinAt.inv | [] | [
149,
65
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147,
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Mathlib/Analysis/Normed/Group/Pointwise.lean | ball_one_div_singleton | [
{
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"tactic": "rw [ball_div_singleton, one_div]"
}
] | [
146,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
145,
1
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Mathlib/Topology/NhdsSet.lean | hasBasis_nhdsSet | [
{
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"tactic": "simp [mem_nhdsSet_iff_exists, and_assoc]"
}
] | [
75,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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1
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Mathlib/Data/List/Basic.lean | List.get?_succ_scanl | [
{
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2643,
27
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2634,
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Mathlib/Algebra/Quaternion.lean | QuaternionAlgebra.zero_imI | [] | [
173,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
173,
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Mathlib/Analysis/Convex/Caratheodory.lean | Caratheodory.minCardFinsetOfMemConvexHull_card_le_card | [
{
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131,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
129,
1
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Mathlib/RingTheory/PowerSeries/Basic.lean | PowerSeries.coeff_mk | [] | [
1343,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1342,
1
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Mathlib/Data/Finset/LocallyFinite.lean | Finset.Ioo_self | [] | [
295,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
294,
1
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Mathlib/Topology/Compactification/OnePoint.lean | OnePoint.isOpen_range_coe | [] | [
279,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
278,
1
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Mathlib/LinearAlgebra/Matrix/Determinant.lean | Matrix.det_succ_column_zero | [
{
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49
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714,
1
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Mathlib/Data/Real/EReal.lean | EReal.bot_lt_zero | [] | [
317,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
316,
1
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Mathlib/Data/Fin/Basic.lean | Fin.cast_refl | [
{
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"state_before": "n m : ℕ\nh : optParam (n = n) (_ : n = n)\n⊢ cast h = OrderIso.refl (Fin n)",
"tactic": "ext"
},
{
"state_after": "no goals",
"state_befo... | [
1101,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1099,
1
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Mathlib/Data/List/Count.lean | List.count_map_of_injective | [] | [
328,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
326,
1
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Mathlib/Combinatorics/SimpleGraph/Basic.lean | SimpleGraph.deleteEdges_le_of_le | [
{
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1158,
33
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1155,
1
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Mathlib/Data/ULift.lean | ULift.ext_iff | [] | [
141,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
140,
1
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Mathlib/Algebra/Module/Torsion.lean | Submodule.torsion_torsion_eq_top | [] | [
656,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
655,
1
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Mathlib/LinearAlgebra/Basic.lean | LinearEquiv.funCongrLeft_comp | [] | [
2670,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2667,
1
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Mathlib/Order/CompleteLattice.lean | iInf_union | [] | [
1419,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1418,
1
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Mathlib/LinearAlgebra/AffineSpace/Midpoint.lean | midpoint_eq_smul_add | [
{
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216,
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214,
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Mathlib/MeasureTheory/Integral/FundThmCalculus.lean | intervalIntegral.integral_eq_sub_of_hasDeriv_right_of_le | [
{
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1172,
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Mathlib/RingTheory/FractionalIdeal.lean | FractionalIdeal.coe_pow | [] | [
594,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
593,
1
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Mathlib/RingTheory/Coprime/Basic.lean | IsCoprime.of_isCoprime_of_dvd_right | [] | [
163,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
162,
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Mathlib/Topology/LocalExtr.lean | IsLocalMaxOn.congr | [] | [
560,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
558,
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Std/Logic.lean | not_nonempty_empty | [] | [
728,
74
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728,
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Mathlib/LinearAlgebra/Basis.lean | Basis.coe_extend | [] | [
1426,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1425,
1
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Mathlib/CategoryTheory/Sites/SheafOfTypes.lean | CategoryTheory.Presieve.restrict_inj | [
{
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269,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
263,
1
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Mathlib/MeasureTheory/Integral/SetToL1.lean | MeasureTheory.DominatedFinMeasAdditive.add | [
{
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224,
78
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
220,
1
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Mathlib/LinearAlgebra/Lagrange.lean | Lagrange.eval_nodal | [
{
"state_after": "no goals",
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"tactic": "simp_rw [nodal, eval_prod, eval_sub, eval_X, eval_C]"
}
] | [
505,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
504,
1
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Mathlib/Algebra/Homology/Homotopy.lean | dNext_comp_left | [] | [
65,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
63,
1
] |
src/lean/Init/Data/AC.lean | Lean.Data.AC.Context.evalList_removeNeutrals | [
{
"state_after": "no goals",
"state_before": "α : Sort u_1\nctx : Context α\ne : List Nat\n⊢ evalList α ctx (removeNeutrals ctx e) = evalList α ctx e",
"tactic": "induction e using List.two_step_induction with\n| empty => rfl\n| single =>\n simp [removeNeutrals, removeNeutrals.loop]; split\n case h_1 ... | [
289,
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] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
278,
1
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Mathlib/Data/Real/GoldenRatio.lean | gold_pos | [
{
"state_after": "no goals",
"state_before": "⊢ 0 < 1 + sqrt 5",
"tactic": "apply add_pos <;> norm_num"
}
] | [
110,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
109,
1
] |
Mathlib/Analysis/Calculus/ContDiffDef.lean | iteratedFDerivWithin_eventually_congr_set | [] | [
929,
77
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
927,
1
] |
Mathlib/Topology/ContinuousFunction/Bounded.lean | BoundedContinuousFunction.extend_of_empty | [] | [
480,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
479,
1
] |
Mathlib/Probability/ProbabilityMassFunction/Uniform.lean | Pmf.toMeasure_uniformOfFintype_apply | [
{
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148,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
145,
1
] |
Mathlib/Data/Nat/Parity.lean | Nat.not_even_iff | [
{
"state_after": "no goals",
"state_before": "m n : ℕ\n⊢ ¬Even n ↔ n % 2 = 1",
"tactic": "rw [even_iff, mod_two_ne_zero]"
}
] | [
54,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
54,
1
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Mathlib/Analysis/NormedSpace/IndicatorFunction.lean | norm_indicator_eq_indicator_norm | [] | [
29,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
28,
1
] |
Mathlib/Data/Finsupp/Basic.lean | Finsupp.prod_mapDomain_index | [] | [
584,
92
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
581,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/ZeroMorphisms.lean | CategoryTheory.Limits.HasZeroObject.zeroIsoIsInitial_inv | [
{
"state_after": "no goals",
"state_before": "C : Type u\ninst✝³ : Category C\nD : Type u'\ninst✝² : Category D\ninst✝¹ : HasZeroObject C\ninst✝ : HasZeroMorphisms C\nX : C\nt : IsInitial X\n⊢ (zeroIsoIsInitial t).inv = 0",
"tactic": "ext"
}
] | [
308,
96
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
308,
1
] |
Mathlib/Algebra/ModEq.lean | AddCommGroup.ModEq.nsmul | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝ : AddCommGroup α\np a a₁ a₂ b b₁ b₂ c : α\nn : ℕ\nz m : ℤ\nhm : b - a = m • p\n⊢ n • b - n • a = m • n • p",
"tactic": "rw [← smul_sub, hm, smul_comm]"
}
] | [
164,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
163,
11
] |
Mathlib/GroupTheory/GroupAction/Basic.lean | MulAction.mapsTo_smul_orbit | [] | [
82,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
81,
1
] |
Mathlib/Data/Rat/Lemmas.lean | Rat.inv_coe_nat_den_of_pos | [
{
"state_after": "a : ℕ\nha0 : 0 < a\n⊢ 0 < ↑a",
"state_before": "a : ℕ\nha0 : 0 < a\n⊢ (↑a)⁻¹.den = a",
"tactic": "rw [← Int.ofNat_inj, ← Int.cast_ofNat a, inv_coe_int_den_of_pos]"
},
{
"state_after": "no goals",
"state_before": "a : ℕ\nha0 : 0 < a\n⊢ 0 < ↑a",
"tactic": "rwa [Nat.cast_p... | [
278,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
276,
1
] |
Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.toMeasure_apply₀ | [
{
"state_after": "α : Type u_1\nβ : Type ?u.84556\nγ : Type ?u.84559\nδ : Type ?u.84562\nι : Type ?u.84565\nR : Type ?u.84568\nR' : Type ?u.84571\nms : MeasurableSpace α\ns✝ t : Set α\nm : OuterMeasure α\nh : ms ≤ OuterMeasure.caratheodory m\ns : Set α\nhs : NullMeasurableSet s\n⊢ ↑↑(OuterMeasure.toMeasure m h)... | [
686,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
679,
1
] |
Mathlib/Order/Hom/CompleteLattice.lean | FrameHom.comp_apply | [] | [
621,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
620,
1
] |
Mathlib/GroupTheory/Subsemigroup/Operations.lean | MulHom.prod_map_comap_prod' | [] | [
865,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
862,
1
] |
Std/Data/Option/Lemmas.lean | Option.eq_some_of_isSome | [] | [
68,
21
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
67,
1
] |
Mathlib/Algebra/MonoidAlgebra/Basic.lean | MonoidAlgebra.mapDomain_mul | [
{
"state_after": "k : Type u₁\nG : Type u₂\nR : Type ?u.413727\ninst✝⁴ : Semiring k\nα : Type u_1\nβ : Type u_2\nα₂ : Type u_3\ninst✝³ : Semiring β\ninst✝² : Mul α\ninst✝¹ : Mul α₂\nF : Type u_4\ninst✝ : MulHomClass F α α₂\nf : F\nx y : MonoidAlgebra β α\n⊢ (sum x fun a b => sum y fun a_1 b_1 => Finsupp.single ... | [
494,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
483,
1
] |
Mathlib/Algebra/Order/Monoid/Lemmas.lean | Right.mul_eq_mul_iff_eq_and_eq | [
{
"state_after": "case inl\nα : Type u_1\nβ : Type ?u.64196\ninst✝⁵ : Semigroup α\ninst✝⁴ : PartialOrder α\ninst✝³ : CovariantClass α α (fun x x_1 => x * x_1) fun x x_1 => x ≤ x_1\ninst✝² : ContravariantClass α α (fun x x_1 => x * x_1) fun x x_1 => x ≤ x_1\ninst✝¹ : CovariantClass α α (swap fun x x_1 => x * x_1... | [
1269,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1258,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/Images.lean | CategoryTheory.Limits.image.map_ι | [
{
"state_after": "no goals",
"state_before": "C : Type u\ninst✝³ : Category C\nf g : Arrow C\ninst✝² : HasImage f.hom\ninst✝¹ : HasImage g.hom\nsq : f ⟶ g\ninst✝ : HasImageMap sq\n⊢ map sq ≫ ι g.hom = ι f.hom ≫ sq.right",
"tactic": "simp"
}
] | [
803,
89
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
803,
1
] |
Mathlib/RingTheory/MvPolynomial/Symmetric.lean | MvPolynomial.IsSymmetric.neg | [] | [
147,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
146,
1
] |
Mathlib/RingTheory/Localization/FractionRing.lean | IsFractionRing.to_map_eq_zero_iff | [] | [
83,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
82,
1
] |
Mathlib/Order/Bounds/OrderIso.lean | OrderIso.isGLB_preimage' | [] | [
69,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
68,
1
] |
Mathlib/Data/MvPolynomial/Basic.lean | MvPolynomial.eval_map | [
{
"state_after": "no goals",
"state_before": "case h_X\nR : Type u\nS₁ : Type v\nS₂ : Type w\nS₃ : Type x\nσ : Type u_1\na a' a₁ a₂ : R\ne : ℕ\nn m : σ\ns : σ →₀ ℕ\ninst✝¹ : CommSemiring R\ninst✝ : CommSemiring S₁\np✝ q : MvPolynomial σ R\nf✝ f : R →+* S₁\ng : σ → S₁\np : MvPolynomial σ R\n⊢ ∀ (p : MvPolyno... | [
1322,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1320,
1
] |
Mathlib/Data/PNat/Find.lean | PNat.one_le_find | [
{
"state_after": "no goals",
"state_before": "p q : ℕ+ → Prop\ninst✝¹ : DecidablePred p\ninst✝ : DecidablePred q\nh : ∃ n, p n\nn m : ℕ+\n⊢ ¬1 < PNat.find h ↔ ¬¬p 1",
"tactic": "simp"
}
] | [
111,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
110,
1
] |
Mathlib/Order/RelIso/Basic.lean | RelEmbedding.isPreorder | [] | [
367,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
366,
11
] |
Mathlib/Data/Polynomial/Coeff.lean | Polynomial.C_dvd_iff_dvd_coeff | [
{
"state_after": "case mp\nR : Type u\nS : Type v\na b : R\nn m : ℕ\ninst✝ : Semiring R\np q r✝ : R[X]\nr : R\nφ : R[X]\n⊢ ↑C r ∣ φ → ∀ (i : ℕ), r ∣ coeff φ i\n\ncase mpr\nR : Type u\nS : Type v\na b : R\nn m : ℕ\ninst✝ : Semiring R\np q r✝ : R[X]\nr : R\nφ : R[X]\n⊢ (∀ (i : ℕ), r ∣ coeff φ i) → ↑C r ∣ φ",
... | [
347,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
330,
1
] |
Mathlib/CategoryTheory/Preadditive/Mat.lean | CategoryTheory.Mat_.id_apply_self | [
{
"state_after": "no goals",
"state_before": "C : Type u₁\ninst✝¹ : Category C\ninst✝ : Preadditive C\nM : Mat_ C\ni : M.ι\n⊢ 𝟙 M i i = 𝟙 (X M i)",
"tactic": "simp [id_apply]"
}
] | [
139,
95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
139,
1
] |
Mathlib/Topology/Maps.lean | Embedding.map_nhds_eq | [] | [
231,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
229,
1
] |
Mathlib/GroupTheory/Subgroup/Basic.lean | Subgroup.not_mem_of_not_mem_closure | [] | [
1113,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1112,
1
] |
Mathlib/Data/Multiset/Basic.lean | Multiset.countp_eq_card | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.340249\nγ : Type ?u.340252\np : α → Prop\ninst✝ : DecidablePred p\ns : Multiset α\n_l : List α\n⊢ countp p (Quot.mk Setoid.r _l) = ↑card (Quot.mk Setoid.r _l) ↔ ∀ (a : α), a ∈ Quot.mk Setoid.r _l → p a",
"tactic": "simp"
}
] | [
2309,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2308,
1
] |
Std/Data/List/Lemmas.lean | List.exists_mem_of_ne_nil | [] | [
51,
44
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
50,
1
] |
Mathlib/Topology/Semicontinuous.lean | IsClosed.upperSemicontinuousOn_indicator | [] | [
765,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
763,
1
] |
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