file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
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Std/Data/List/Lemmas.lean | List.disjoint_comm | [] | [
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90
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1352,
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Mathlib/MeasureTheory/Integral/IntegrableOn.lean | MeasureTheory.IntegrableOn.congr_set_ae | [] | [
143,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
142,
1
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Mathlib/Algebra/Field/Basic.lean | add_div_eq_mul_add_div | [
{
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"tactic": "rw [right_distrib, div_mul_cancel _ hc]"
}
] | [
61,
73
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/SpecialFunctions/Integrals.lean | integral_sin_mul_cos₂ | [
{
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"tactic": "simpa using integral_sin_pow_odd_mul_cos_pow 0 1"
}
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808,
51
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807,
1
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Mathlib/FieldTheory/Subfield.lean | Subfield.mem_sSup_of_directedOn | [
{
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95
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Mathlib/Analysis/Normed/Group/Basic.lean | Real.nnnorm_abs | [
{
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1751,
63
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1751,
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Mathlib/Algebra/Star/Subalgebra.lean | StarSubalgebra.top_toSubalgebra | [
{
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626,
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Mathlib/Analysis/Convex/Side.lean | AffineSubspace.sOppSide_vadd_left_iff | [
{
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322,
91
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320,
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Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.lt_aleph0_iff_fintype | [] | [
1473,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1472,
1
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Mathlib/Analysis/Convex/Gauge.lean | Convex.lipschitzWith_gauge | [
{
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483,
93
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
474,
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Mathlib/Order/Filter/AtTopBot.lean | Filter.Tendsto.atTop_mul_neg_const | [] | [
1201,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1199,
1
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Mathlib/LinearAlgebra/AffineSpace/AffineSubspace.lean | AffineSubspace.comap_supr | [] | [
1681,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1679,
1
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Mathlib/Order/CompleteLattice.lean | iSup_iSup_eq_left | [
{
"state_after": "α : Type u_2\nβ : Type u_1\nβ₂ : Type ?u.97502\nγ : Type ?u.97505\nι : Sort ?u.97508\nι' : Sort ?u.97511\nκ : ι → Sort ?u.97516\nκ' : ι' → Sort ?u.97521\ninst✝ : CompleteLattice α\nf✝ g s t : ι → α\na b : α\nc : β\nf : (x : β) → x = c → α\n⊢ f c (_ : c = c) ≤ f c (_ : c = c)",
"state_befor... | [
1173,
13
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1168,
1
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Mathlib/Data/Semiquot.lean | Semiquot.eq_pure | [
{
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"tactic": "simp"
},
{
"state_after": "no goals",
"state_before... | [
226,
93
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
225,
1
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Mathlib/Data/Real/NNReal.lean | NNReal.coe_two | [] | [
206,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
206,
11
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Mathlib/Algebra/Order/Field/Basic.lean | exists_pos_mul_lt | [
{
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"state_before": "ι : Type ?u.109118\nα : Type u_1\nβ : Type ?u.109124\ninst✝ : LinearOrderedSe... | [
571,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
567,
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Mathlib/Data/List/Basic.lean | List.get_eq_iff | [
{
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1489,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1487,
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Mathlib/Analysis/SpecialFunctions/Integrals.lean | integral_log_of_neg | [] | [
497,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
495,
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Mathlib/Control/Functor.lean | Functor.Comp.run_pure | [] | [
264,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
263,
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Mathlib/Analysis/InnerProductSpace/Basic.lean | abs_real_inner_div_norm_mul_norm_le_one | [
{
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"state_before": "... | [
1537,
99
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1535,
1
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Mathlib/Data/List/Rotate.lean | List.rotate'_eq_drop_append_take | [
{
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},
{
"state_after": "no goals",
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77,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
68,
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Mathlib/Combinatorics/HalesJewett.lean | Combinatorics.exists_mono_homothetic_copy | [
{
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"state_before": "M : Typ... | [
376,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
349,
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Mathlib/LinearAlgebra/Matrix/Transvection.lean | Matrix.TransvectionStruct.toMatrix_reindexEquiv_prod | [
{
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315,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
309,
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Mathlib/CategoryTheory/Limits/Shapes/Biproducts.lean | CategoryTheory.Limits.biprod.isoProd_hom | [
{
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"tactic": "apply biprod.hom_ext' <;> apply prod.hom_ext <;> simp [biprod.isoProd]"
}
] | [
1442,
77
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1440,
1
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Mathlib/Algebra/Algebra/Equiv.lean | AlgEquiv.toLinearEquiv_toLinearMap | [] | [
579,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
578,
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Mathlib/Order/Disjoint.lean | IsCompl.sup_eq_top | [] | [
502,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
501,
1
] |
Mathlib/RingTheory/Polynomial/Quotient.lean | Ideal.eval₂_C_mk_eq_zero | [
{
"state_after": "R : Type u_1\ninst✝ : CommRing R\nI : Ideal R\na : R[X]\nha : a ∈ map C I\n⊢ ↑(eval₂RingHom (RingHom.comp C (Quotient.mk I)) X) a = 0",
"state_before": "R : Type u_1\ninst✝ : CommRing R\nI : Ideal R\n⊢ ∀ (f : R[X]), f ∈ map C I → ↑(eval₂RingHom (RingHom.comp C (Quotient.mk I)) X) f = 0",
... | [
99,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
86,
1
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Mathlib/CategoryTheory/Limits/IsLimit.lean | CategoryTheory.Limits.IsColimit.OfNatIso.homOfCocone_cooneOfHom | [] | [
1014,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1013,
1
] |
Mathlib/MeasureTheory/Decomposition/SignedHahn.lean | MeasureTheory.SignedMeasure.measure_of_restrictNonposSeq | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.21389\ninst✝³ : MeasurableSpace α\nM : Type ?u.21395\ninst✝² : AddCommMonoid M\ninst✝¹ : TopologicalSpace M\ninst✝ : OrderedAddCommMonoid M\ns : SignedMeasure α\ni j : Set α\nhi₂ : ¬restrict s i ≤ restrict 0 i\nn : ℕ\nhn :\n ¬restrict ... | [
202,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
188,
9
] |
Mathlib/Order/Filter/Lift.lean | Filter.prod_lift_lift | [
{
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450,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
443,
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] |
Mathlib/MeasureTheory/Measure/VectorMeasure.lean | MeasureTheory.SignedMeasure.toMeasureOfZeroLE_apply | [
{
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1365,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1361,
1
] |
Mathlib/Data/Nat/Digits.lean | Nat.digits_zero | [
{
"state_after": "no goals",
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"tactic": "rcases b with (_ | ⟨_ | ⟨_⟩⟩) <;> simp [digits, digitsAux0, digitsAux1]"
}
] | [
90,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
89,
1
] |
Mathlib/Analysis/SpecialFunctions/Complex/Arg.lean | Complex.arg_conj_coe_angle | [
{
"state_after": "no goals",
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"tactic": "by_cases h : arg x = π <;> simp [arg_conj, h]"
}
] | [
367,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
366,
1
] |
Mathlib/Init/Data/Nat/Bitwise.lean | Nat.shiftl_succ | [] | [
205,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
204,
1
] |
Mathlib/Algebra/Ring/Defs.lean | mul_sub_right_distrib | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nγ : Type w\nR : Type x\ninst✝ : NonUnitalNonAssocRing α\na b c : α\n⊢ (a - b) * c = a * c - b * c",
"tactic": "simpa only [sub_eq_add_neg, neg_mul_eq_neg_mul] using add_mul a (-b) c"
}
] | [
372,
73
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
371,
1
] |
Mathlib/Analysis/Calculus/Deriv/Basic.lean | derivWithin_congr_set | [
{
"state_after": "no goals",
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507,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
506,
1
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Mathlib/Order/WithBot.lean | WithBot.ofDual_le_iff | [] | [
993,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
991,
1
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Mathlib/Tactic/LinearCombination.lean | Mathlib.Tactic.LinearCombination.inv_pf | [] | [
47,
62
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
47,
1
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Mathlib/Order/UpperLower/Basic.lean | IsLowerSet.bot_mem | [] | [
312,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
311,
1
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Mathlib/Analysis/BoxIntegral/Partition/Basic.lean | BoxIntegral.Prepartition.iUnion_subset | [] | [
252,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
251,
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Mathlib/LinearAlgebra/AnnihilatingPolynomial.lean | Polynomial.annIdealGenerator_mem | [] | [
118,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
117,
1
] |
Mathlib/Data/Finite/Card.lean | Finite.card_eq_zero_of_embedding | [] | [
166,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
165,
1
] |
Mathlib/Data/Set/Function.lean | Set.BijOn.subset_range | [] | [
954,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
953,
1
] |
Mathlib/Dynamics/OmegaLimit.lean | mapsTo_omegaLimit' | [
{
"state_after": "τ : Type u_3\nα : Type u_4\nβ : Type u_5\nι : Type ?u.24430\ninst✝¹ : TopologicalSpace β\nf✝ : Filter τ\nϕ✝ : τ → α → β\ns s₁ s₂ : Set α\nα' : Type u_1\nβ' : Type u_2\ninst✝ : TopologicalSpace β'\nf : Filter τ\nϕ : τ → α → β\nϕ' : τ → α' → β'\nga : α → α'\ns' : Set α'\nhs : MapsTo ga s s'\ngb ... | [
105,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
96,
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] |
Mathlib/RingTheory/Subring/Basic.lean | Subring.center_le_centralizer | [] | [
870,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
869,
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Mathlib/Order/Bounds/Basic.lean | MonotoneOn.image_lowerBounds_subset_lowerBounds_image | [] | [
1180,
57
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1178,
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Std/Data/Array/Lemmas.lean | Array.get?_set_eq | [
{
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96,
57
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Mathlib/Data/Nat/Pow.lean | StrictMono.nat_pow | [] | [
133,
39
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131,
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Mathlib/GroupTheory/DoubleCoset.lean | Doset.mem_doset | [] | [
46,
50
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44,
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Mathlib/GroupTheory/MonoidLocalization.lean | Submonoid.LocalizationMap.of_mulEquivOfMulEquiv | [] | [
1602,
51
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1600,
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Mathlib/Data/Set/Prod.lean | Set.mem_pi | [] | [
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10
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643,
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Mathlib/LinearAlgebra/DirectSum/TensorProduct.lean | TensorProduct.directSumRight_symm_lof_tmul | [
{
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Mathlib/Data/Real/NNReal.lean | NNReal.coe_prod | [] | [
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25
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341,
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Mathlib/Data/Set/Basic.lean | Set.inter_subset_left | [] | [
950,
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950,
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Mathlib/Data/Fin/Basic.lean | Fin.cast_last | [
{
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] | [
1081,
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1080,
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Mathlib/RingTheory/Subring/Basic.lean | Subring.add_mem | [] | [
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10
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Mathlib/CategoryTheory/Preadditive/Biproducts.lean | CategoryTheory.Limits.biproduct.lift_matrix | [
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254,
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Mathlib/Data/Set/Lattice.lean | Set.iUnion_eq_univ_iff | [
{
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1187,
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1186,
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Mathlib/Topology/LocallyFinite.lean | locallyFinite_of_finite | [] | [
35,
31
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Mathlib/FieldTheory/IntermediateField.lean | IntermediateField.coe_restrictScalars | [] | [
635,
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Mathlib/Analysis/Seminorm.lean | Seminorm.ball_add_ball_subset | [
{
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Mathlib/Algebra/Parity.lean | Odd.add_even | [
{
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Mathlib/Topology/MetricSpace/Infsep.lean | Set.einfsep_lt_top | [
{
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33
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Mathlib/CategoryTheory/Limits/Preserves/Shapes/BinaryProducts.lean | CategoryTheory.Limits.PreservesColimitPair.iso_hom | [] | [
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73
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175,
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Mathlib/MeasureTheory/Integral/FundThmCalculus.lean | intervalIntegral.integral_hasStrictDerivAt_of_tendsto_ae_left | [
{
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665,
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Mathlib/Data/Polynomial/Eval.lean | Polynomial.C_sub | [] | [
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24
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1225,
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Mathlib/Data/Part.lean | Part.ext' | [
{
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57
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Mathlib/Algebra/Order/Floor.lean | Int.fract_div_natCast_eq_div_natCast_mod | [
{
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Mathlib/Analysis/Normed/Group/Seminorm.lean | NonarchAddGroupSeminorm.sup_apply | [] | [
594,
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593,
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Mathlib/Data/Nat/Prime.lean | Nat.coprime_of_dvd | [
{
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{
"state_after": "m n : ℕ\nH : ∀ (k : ℕ), Prime k → k ∣ m → ¬k ∣ n\ng2 : ¬gcd m n = 1\... | [
529,
28
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523,
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Mathlib/Data/Set/Pointwise/SMul.lean | Set.vsub_subset_vsub_left | [] | [
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21
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668,
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Mathlib/Analysis/SpecialFunctions/Log/Deriv.lean | DifferentiableOn.log | [] | [
185,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
184,
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Mathlib/LinearAlgebra/Quotient.lean | Submodule.Quotient.mk_sub | [] | [
123,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
122,
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Mathlib/Algebra/Lie/Submodule.lean | LieIdeal.map_sup_ker_eq_map | [
{
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1078,
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1072,
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Mathlib/Order/Basic.lean | forall_lt_iff_le | [] | [
541,
56
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540,
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Mathlib/Analysis/Calculus/Deriv/Basic.lean | deriv_const' | [] | [
700,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
699,
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Mathlib/Analysis/Normed/Group/Hom.lean | NormedAddGroupHom.Equalizer.norm_lift_le | [] | [
993,
5
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
991,
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Mathlib/Data/Finsupp/Defs.lean | Finsupp.single_apply_left | [
{
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317,
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316,
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Mathlib/SetTheory/Game/PGame.lean | PGame.lt_congr_left | [] | [
858,
24
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857,
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Mathlib/Analysis/InnerProductSpace/l2Space.lean | Orthonormal.isHilbertSum | [
{
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387,
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382,
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Mathlib/CategoryTheory/Limits/Shapes/Biproducts.lean | CategoryTheory.Limits.BinaryBicone.sndKernelFork_ι | [] | [
1618,
87
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1618,
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Mathlib/Analysis/Calculus/Deriv/Comp.lean | HasDerivWithinAt.scomp | [] | [
93,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
90,
8
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Mathlib/Algebra/Homology/HomologicalComplex.lean | HomologicalComplex.Hom.sqFrom_id | [] | [
573,
6
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572,
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Mathlib/Topology/MetricSpace/Closeds.lean | EMetric.continuous_infEdist_hausdorffEdist | [
{
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70,
78
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Mathlib/Data/MvPolynomial/Variables.lean | MvPolynomial.vars_monomial | [
{
"state_after": "no goals",
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293,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
292,
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Mathlib/MeasureTheory/Function/SimpleFuncDenseLp.lean | MeasureTheory.L1.SimpleFunc.toLp_one_eq_toL1 | [] | [
1082,
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1080,
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Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean | Real.Angle.coe_toReal | [
{
"state_after": "case h\nx✝ : ℝ\n⊢ ↑(toReal ↑x✝) = ↑x✝",
"state_before": "θ : Angle\n⊢ ↑(toReal θ) = θ",
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},
{
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}
... | [
556,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
554,
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src/lean/Init/SimpLemmas.lean | ite_true | [] | [
77,
72
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
77,
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Mathlib/GroupTheory/Complement.lean | Subgroup.IsComplement'.sup_eq_top | [] | [
507,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
506,
1
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Mathlib/NumberTheory/Padics/PadicIntegers.lean | PadicInt.norm_units | [
{
"state_after": "no goals",
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}
] | [
482,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
482,
1
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Mathlib/Data/Ordmap/Ordset.lean | Ordnode.Valid'.merge_aux₁ | [
{
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1476,
55
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1462,
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.count_apply | [
{
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2196,
96
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Mathlib/NumberTheory/Liouville/Measure.lean | setOf_liouvilleWith_subset_aux | [
{
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"state_before": "⊢ {x | ∃ p, p > 2... | [
76,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
39,
1
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Mathlib/Data/Int/Interval.lean | Int.card_Ico_of_le | [
{
"state_after": "no goals",
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"tactic": "rw [card_Ico, toNat_sub_of_le h]"
}
] | [
135,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
134,
1
] |
Mathlib/Topology/Separation.lean | isClosed_diagonal | [] | [
957,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
956,
1
] |
Mathlib/GroupTheory/Submonoid/Basic.lean | IsUnit.mem_submonoid_iff | [
{
"state_after": "M✝ : Type ?u.38952\nN : Type ?u.38955\nA : Type ?u.38958\ninst✝² : Monoid M✝\ninst✝¹ : Monoid N\ns : Set M✝\nM : Type u_1\ninst✝ : Monoid M\na : M\n⊢ a ∈ setOf IsUnit ↔ IsUnit a",
"state_before": "M✝ : Type ?u.38952\nN : Type ?u.38955\nA : Type ?u.38958\ninst✝² : Monoid M✝\ninst✝¹ : Monoid... | [
646,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
643,
1
] |
Mathlib/Data/Ordmap/Ordset.lean | Ordnode.Bounded.to_lt | [] | [
946,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
944,
1
] |
Mathlib/RingTheory/TensorProduct.lean | TensorProduct.Algebra.moduleAux_apply | [] | [
1140,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1139,
1
] |
Mathlib/CategoryTheory/Limits/Constructions/ZeroObjects.lean | CategoryTheory.Limits.inr_zeroCoprodIso_hom | [
{
"state_after": "C : Type u_2\ninst✝² : Category C\ninst✝¹ : HasZeroObject C\ninst✝ : HasZeroMorphisms C\nX : C\n⊢ coprod.inr ≫\n (colimit.isoColimitCocone { cocone := BinaryCofan.mk 0 (𝟙 X), isColimit := binaryCofanZeroLeftIsColimit X }).hom =\n 𝟙 X",
"state_before": "C : Type u_2\ninst✝² : Cate... | [
120,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
118,
1
] |
Mathlib/Data/Num/Lemmas.lean | PosNum.cast_inj | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝¹ : AddMonoidWithOne α\ninst✝ : CharZero α\nm n : PosNum\n⊢ ↑m = ↑n ↔ m = n",
"tactic": "rw [← cast_to_nat m, ← cast_to_nat n, Nat.cast_inj, to_nat_inj]"
}
] | [
674,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
673,
1
] |
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