file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
values | url stringclasses 4
values | start list |
|---|---|---|---|---|---|---|
Mathlib/MeasureTheory/Function/SpecialFunctions/IsROrC.lean | AEMeasurable.im | [] | [
61,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
60,
1
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Mathlib/GroupTheory/Perm/Basic.lean | Equiv.Perm.mul_apply | [] | [
71,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
70,
1
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Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.sup_eq_sSup | [] | [
1395,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1391,
1
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Mathlib/Data/Set/Pointwise/Basic.lean | Set.mul_inter_subset | [] | [
460,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
459,
1
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Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.sub_eq_of_add_eq | [] | [
558,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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1
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Mathlib/Data/Real/Basic.lean | Real.sSup_empty | [
{
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] | [
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Mathlib/LinearAlgebra/Matrix/Basis.lean | Basis.toMatrix_map | [
{
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Mathlib/Topology/Instances/ENNReal.lean | ENNReal.continuous_sub_right | [
{
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471,
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Mathlib/Data/Multiset/Basic.lean | Multiset.mem_of_le | [] | [
525,
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Mathlib/LinearAlgebra/Lagrange.lean | Lagrange.interpolate_eq_nodalWeight_mul_nodal_div_X_sub_C | [
{
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"tactic": "rw [mu... | [
595,
85
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
593,
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Mathlib/RingTheory/Ideal/Operations.lean | Ideal.comap_of_equiv | [
{
"state_after": "no goals",
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"tactic": "simp [← RingEquiv.toRingHom_eq_coe, comap_comap]"
... | [
1720,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1718,
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Mathlib/Data/Set/Image.lean | Subtype.coe_preimage_self | [
{
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"state_before": "α : Type u_1\ns : Set α\n⊢ val ⁻¹' s = univ",
"tactic": "rw [← preimage_range, range_coe]"
}
] | [
1413,
35
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1412,
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Mathlib/NumberTheory/ArithmeticFunction.lean | Nat.ArithmeticFunction.one_apply_ne | [] | [
137,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
136,
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Mathlib/Algebra/BigOperators/Basic.lean | Finset.prod_sigma' | [] | [
536,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
534,
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Mathlib/Analysis/SpecificLimits/Normed.lean | hasSum_geometric_of_abs_lt_1 | [] | [
306,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
305,
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Mathlib/NumberTheory/LucasPrimality.lean | lucas_primality | [
{
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"tactic": "ha... | [
66,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
45,
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Mathlib/Data/Multiset/Fold.lean | Multiset.fold_cons'_right | [
{
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}
] | [
72,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Order/Filter/Germ.lean | Filter.Germ.coe_le | [] | [
662,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
661,
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Mathlib/Algebra/Module/LocalizedModule.lean | LocalizedModule.zero_add' | [
{
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"state_before": "R : Type u\ninst✝² : CommSemiring R\nS : Submonoid R\nM : Type v\nin... | [
190,
6
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185,
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Mathlib/Control/Traversable/Equiv.lean | Equiv.comp_map | [
{
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66,
35
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64,
11
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Mathlib/RingTheory/HahnSeries.lean | HahnSeries.mul_coeff_left' | [
{
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661,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
653,
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Mathlib/Data/Finset/Basic.lean | Finset.coe_symmDiff | [
{
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"tactic": "simp [mem_symmDiff, Set.mem_symmDiff]"
}
] | [
2382,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2381,
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Mathlib/Analysis/NormedSpace/lpSpace.lean | lp.eq_zero_iff_coeFn_eq_zero | [
{
"state_after": "no goals",
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}
] | [
481,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
480,
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Mathlib/Computability/Partrec.lean | Decidable.Partrec.const' | [] | [
449,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
448,
1
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Mathlib/GroupTheory/FreeProduct.lean | FreeProduct.NeWord.append_last | [] | [
619,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
617,
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Mathlib/Algebra/Ring/Prod.lean | RingEquiv.coe_prod_comm | [] | [
286,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
285,
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Mathlib/Logic/Nontrivial.lean | Function.Injective.nontrivial | [] | [
148,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
145,
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Mathlib/Algebra/IndicatorFunction.lean | Set.mulIndicator_apply_le | [] | [
868,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
866,
1
] |
Mathlib/Algebra/Associated.lean | Associates.quotient_mk_eq_mk | [] | [
754,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
753,
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Mathlib/Data/Multiset/Basic.lean | Multiset.disjoint_singleton | [
{
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}
] | [
2944,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2943,
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Mathlib/Topology/Instances/ENNReal.lean | ENNReal.toNNReal_apply_of_tsum_ne_top | [] | [
940,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
938,
1
] |
Mathlib/CategoryTheory/Sites/Subsheaf.lean | CategoryTheory.GrothendieckTopology.top_subpresheaf_obj | [] | [
354,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
353,
1
] |
Mathlib/LinearAlgebra/Matrix/SpecialLinearGroup.lean | Matrix.SpecialLinearGroup.det_coe | [] | [
156,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
155,
1
] |
Mathlib/Algebra/Group/Basic.lean | mul_eq_of_eq_div | [
{
"state_after": "no goals",
"state_before": "α : Type ?u.59709\nβ : Type ?u.59712\nG : Type u_1\ninst✝ : Group G\na b c d : G\nh : a = c / b\n⊢ a * b = c",
"tactic": "simp [h]"
}
] | [
785,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
785,
1
] |
Mathlib/CategoryTheory/Limits/Constructions/LimitsOfProductsAndEqualizers.lean | CategoryTheory.Limits.has_limits_of_hasEqualizers_and_products | [] | [
143,
79
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
140,
1
] |
Std/Data/Int/Lemmas.lean | Int.neg_add_cancel_left | [
{
"state_after": "no goals",
"state_before": "a b : Int\n⊢ -a + (a + b) = b",
"tactic": "rw [← Int.add_assoc, Int.add_left_neg, Int.zero_add]"
}
] | [
318,
55
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
317,
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Mathlib/Data/Polynomial/Degree/Definitions.lean | Polynomial.zero_nmem_multiset_map_X_sub_C | [] | [
1497,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1494,
1
] |
Mathlib/MeasureTheory/Decomposition/RadonNikodym.lean | MeasureTheory.Measure.withDensity_rnDeriv_toReal_eq | [
{
"state_after": "case hfm\nα : Type u_1\nβ : Type ?u.2764\nm : MeasurableSpace α\nμ ν : Measure α\ninst✝¹ : IsFiniteMeasure μ\ninst✝ : HaveLebesgueDecomposition μ ν\nh : μ ≪ ν\ni : Set α\nhi : MeasurableSet i\n⊢ AEMeasurable fun x => rnDeriv μ ν x\n\ncase hf\nα : Type u_1\nβ : Type ?u.2764\nm : MeasurableSpace... | [
81,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
73,
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] |
Mathlib/Algebra/Star/Subalgebra.lean | StarSubalgebra.adjoin_le_iff | [] | [
482,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
481,
1
] |
Mathlib/Data/Quot.lean | Quot.out_eq | [] | [
365,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
364,
1
] |
Mathlib/Analysis/Calculus/ContDiff.lean | hasFTaylorSeriesUpToOn_pi' | [
{
"state_after": "case h.e'_1.h.e'_11.h.h\n𝕜 : Type u_1\ninst✝¹⁴ : NontriviallyNormedField 𝕜\nD : Type uD\ninst✝¹³ : NormedAddCommGroup D\ninst✝¹² : NormedSpace 𝕜 D\nE : Type uE\ninst✝¹¹ : NormedAddCommGroup E\ninst✝¹⁰ : NormedSpace 𝕜 E\nF : Type uF\ninst✝⁹ : NormedAddCommGroup F\ninst✝⁸ : NormedSpace 𝕜 F\... | [
1143,
78
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1138,
1
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Mathlib/RingTheory/NonZeroDivisors.lean | mul_mem_nonZeroDivisors | [
{
"state_after": "case mp\nM : Type ?u.20654\nM' : Type ?u.20657\nM₁ : Type u_1\nR : Type ?u.20663\nR' : Type ?u.20666\nF : Type ?u.20669\ninst✝⁴ : MonoidWithZero M\ninst✝³ : MonoidWithZero M'\ninst✝² : CommMonoidWithZero M₁\ninst✝¹ : Ring R\ninst✝ : CommRing R'\na b : M₁\n⊢ a * b ∈ M₁⁰ → a ∈ M₁⁰ ∧ b ∈ M₁⁰\n\nc... | [
103,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
94,
1
] |
Mathlib/Data/Setoid/Basic.lean | Setoid.injective_iff_ker_bot | [] | [
285,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
284,
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] |
Mathlib/Deprecated/Subgroup.lean | Group.subset_normalClosure | [] | [
708,
79
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
707,
1
] |
Mathlib/Data/Finset/LocallyFinite.lean | Finset.Ioo_subset_Ioi_self | [
{
"state_after": "no goals",
"state_before": "ι : Type ?u.49166\nα : Type u_1\ninst✝² : Preorder α\ninst✝¹ : LocallyFiniteOrder α\na a₁ a₂ b b₁ b₂ c x : α\ninst✝ : LocallyFiniteOrderTop α\n⊢ Ioo a b ⊆ Ioi a",
"tactic": "simpa [← coe_subset] using Set.Ioo_subset_Ioi_self"
}
] | [
409,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
408,
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Mathlib/Topology/Sets/Opens.lean | TopologicalSpace.Opens.iSup_mk | [] | [
242,
13
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
240,
1
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Mathlib/Algebra/Ring/Defs.lean | ite_and_mul_zero | [
{
"state_after": "no goals",
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"tactic": "simp only [← ite_a... | [
239,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
237,
1
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Mathlib/Data/Multiset/FinsetOps.lean | Multiset.subset_ndunion_left | [] | [
187,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
186,
1
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Mathlib/Algebra/Algebra/Spectrum.lean | spectrum.subset_starSubalgebra | [] | [
291,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
289,
1
] |
Mathlib/Data/Polynomial/Basic.lean | Polynomial.support_X_empty | [
{
"state_after": "no goals",
"state_before": "R : Type u\na b : R\nm n : ℕ\ninst✝ : Semiring R\np q : R[X]\nH : 1 = 0\n⊢ support X = ∅",
"tactic": "rw [X, H, monomial_zero_right, support_zero]"
}
] | [
908,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
907,
1
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Mathlib/Analysis/PSeries.lean | Real.summable_abs_int_rpow | [
{
"state_after": "case refine'_1\nb : ℝ\nhb : 1 < b\n⊢ Summable fun n => abs ↑n ^ (-b)\n\ncase refine'_2\nb : ℝ\nhb : 1 < b\n⊢ Summable fun n => abs ↑(-↑n) ^ (-b)",
"state_before": "b : ℝ\nhb : 1 < b\n⊢ Summable fun n => abs ↑n ^ (-b)",
"tactic": "refine'\n summable_int_of_summable_nat (_ : Summable fu... | [
243,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
235,
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Mathlib/Algebra/Regular/SMul.lean | IsLeftRegular.isSMulRegular | [] | [
43,
4
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
42,
1
] |
Mathlib/Algebra/Order/Floor.lean | Nat.floor_lt' | [] | [
210,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
209,
1
] |
Mathlib/LinearAlgebra/Matrix/Charpoly/LinearMap.lean | Matrix.Represents.one | [
{
"state_after": "ι : Type u_1\ninst✝⁴ : Fintype ι\nM : Type u_2\ninst✝³ : AddCommGroup M\nR : Type u_3\ninst✝² : CommRing R\ninst✝¹ : Module R M\nI : Ideal R\nb : ι → M\nhb : Submodule.span R (Set.range b) = ⊤\ninst✝ : DecidableEq ι\n⊢ ↑(LinearMap.comp (↑(LinearMap.llcomp R (ι → R) (ι → R) M) (↑(Fintype.total ... | [
133,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
129,
1
] |
Mathlib/Data/ZMod/Basic.lean | ZMod.valMinAbs_natCast_of_half_lt | [
{
"state_after": "case zero\na : ℕ\nha : Nat.zero / 2 < a\nha' : a < Nat.zero\n⊢ valMinAbs ↑a = ↑a - ↑Nat.zero\n\ncase succ\na n✝ : ℕ\nha : Nat.succ n✝ / 2 < a\nha' : a < Nat.succ n✝\n⊢ valMinAbs ↑a = ↑a - ↑(Nat.succ n✝)",
"state_before": "n a : ℕ\nha : n / 2 < a\nha' : a < n\n⊢ valMinAbs ↑a = ↑a - ↑n",
... | [
1079,
76
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1075,
1
] |
Std/Data/String/Lemmas.lean | String.Pos.Valid.mk | [] | [
155,
94
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
155,
1
] |
Mathlib/Combinatorics/Quiver/Symmetric.lean | Prefunctor.map_reverse | [] | [
98,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
96,
1
] |
Mathlib/LinearAlgebra/Finsupp.lean | Finsupp.mapRange.linearEquiv_refl | [] | [
864,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
862,
1
] |
Mathlib/GroupTheory/GroupAction/Units.lean | Units.val_smul | [] | [
113,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
111,
1
] |
Mathlib/MeasureTheory/Measure/AEDisjoint.lean | MeasureTheory.aedisjoint_compl_left | [] | [
161,
42
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
160,
1
] |
Mathlib/Data/Fin/Basic.lean | Fin.predAbove_last_apply | [
{
"state_after": "no goals",
"state_before": "n m : ℕ\ni : Fin n\n⊢ predAbove (last n) ↑↑i = castPred ↑↑i",
"tactic": "rw [predAbove_last]"
}
] | [
2353,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2352,
1
] |
Mathlib/Topology/Connected.lean | PreconnectedSpace.constant | [] | [
1596,
94
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1594,
1
] |
Mathlib/Data/PFun.lean | PFun.prodMap_apply | [] | [
681,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
679,
1
] |
Mathlib/Algebra/Order/WithZero.lean | mul_le_one₀ | [] | [
128,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
127,
1
] |
Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean | stronglyMeasurable_const_smul_iff₀ | [] | [
506,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
504,
1
] |
Mathlib/Combinatorics/SimpleGraph/Connectivity.lean | SimpleGraph.Walk.cons_isCycle_iff | [
{
"state_after": "V : Type u\nV' : Type v\nV'' : Type w\nG : SimpleGraph V\nG' : SimpleGraph V'\nG'' : SimpleGraph V''\nu v : V\np : Walk G v u\nh : Adj G u v\n⊢ (¬Quotient.mk (Sym2.Rel.setoid V) (u, v) ∈ edges p ∧ List.Nodup (edges p)) ∧ cons h p ≠ nil ∧ List.Nodup (support p) ↔\n List.Nodup (support p) ∧ ¬... | [
1014,
8
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1009,
1
] |
Mathlib/Algebra/Algebra/Tower.lean | Submodule.span_smul_of_span_eq_top | [] | [
319,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
311,
1
] |
Mathlib/Computability/Partrec.lean | Computable.unpair | [] | [
318,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
317,
1
] |
Mathlib/Analysis/SpecialFunctions/Pow/Real.lean | Real.lt_rpow_inv_iff_of_neg | [
{
"state_after": "x y z : ℝ\nhx : 0 < x\nhy : 0 < y\nhz : z < 0\nhz' : 0 < -z\n⊢ x < y ^ z⁻¹ ↔ y < x ^ z",
"state_before": "x y z : ℝ\nhx : 0 < x\nhy : 0 < y\nhz : z < 0\n⊢ x < y ^ z⁻¹ ↔ y < x ^ z",
"tactic": "have hz' : 0 < -z := by rwa [lt_neg, neg_zero]"
},
{
"state_after": "x y z : ℝ\nhx : 0... | [
455,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
447,
1
] |
Mathlib/CategoryTheory/EqToHom.lean | CategoryTheory.eqToHom_refl | [] | [
52,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
51,
1
] |
Mathlib/MeasureTheory/Integral/SetIntegral.lean | measure_le_lintegral_thickenedIndicator | [
{
"state_after": "case h.e'_4.h.e'_4.h\nα : Type u_1\nβ : Type ?u.5010653\nE✝ : Type ?u.5010656\nF : Type ?u.5010659\ninst✝² : MeasurableSpace α\nι : Type ?u.5010665\ninst✝¹ : NormedAddCommGroup E✝\ninst✝ : PseudoEMetricSpace α\nμ : MeasureTheory.Measure α\nE : Set α\nE_mble : MeasurableSet E\nδ : ℝ\nδ_pos : 0 ... | [
1312,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1307,
1
] |
Mathlib/MeasureTheory/Integral/Lebesgue.lean | MeasureTheory.lintegral_biUnion_finset | [] | [
1218,
86
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1215,
1
] |
Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.IsBigOWith.exists_eq_mul | [] | [
1952,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1950,
1
] |
Mathlib/RingTheory/PowerSeries/Basic.lean | MvPowerSeries.map_monomial | [
{
"state_after": "case h\nσ : Type u_1\nR : Type u_3\nS : Type u_2\nT : Type ?u.869997\ninst✝² : Semiring R\ninst✝¹ : Semiring S\ninst✝ : Semiring T\nf : R →+* S\ng : S →+* T\nn : σ →₀ ℕ\na : R\nm : σ →₀ ℕ\n⊢ ↑(coeff S m) (↑(map σ f) (↑(monomial R n) a)) = ↑(coeff S m) (↑(monomial S n) (↑f a))",
"state_befo... | [
614,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
612,
1
] |
Mathlib/Data/Finset/LocallyFinite.lean | Finset.Icc_diff_Ico_self | [
{
"state_after": "no goals",
"state_before": "ι : Type ?u.95633\nα : Type u_1\ninst✝² : PartialOrder α\ninst✝¹ : LocallyFiniteOrder α\na b c : α\ninst✝ : DecidableEq α\nh : a ≤ b\n⊢ Icc a b \\ Ico a b = {b}",
"tactic": "simp [← coe_inj, h]"
}
] | [
585,
90
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
585,
1
] |
Mathlib/Order/Monotone/Monovary.lean | AntivaryOn.dual | [] | [
228,
8
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
227,
1
] |
Mathlib/Data/Multiset/Basic.lean | Multiset.erase_zero | [] | [
1009,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1008,
1
] |
Mathlib/CategoryTheory/Bicategory/NaturalTransformation.lean | CategoryTheory.OplaxNatTrans.Modification.whiskerLeft_naturality | [
{
"state_after": "no goals",
"state_before": "B : Type u₁\ninst✝¹ : Bicategory B\nC : Type u₂\ninst✝ : Bicategory C\nF G : OplaxFunctor B C\nη θ ι : F ⟶ G\nΓ : Modification η θ\na b c : B\na' : C\nf : a' ⟶ (↑F.toPrelaxFunctor).obj b\ng : b ⟶ c\n⊢ f ◁ (↑F.toPrelaxFunctor).map g ◁ app Γ c ≫ f ◁ OplaxNatTrans.... | [
268,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
266,
1
] |
Mathlib/Order/ConditionallyCompleteLattice/Basic.lean | OrderIso.map_ciInf_set | [] | [
1361,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1359,
1
] |
Mathlib/Analysis/NormedSpace/OperatorNorm.lean | ContinuousLinearMap.coe_mulₗᵢ | [] | [
1178,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1177,
1
] |
Mathlib/Order/Basic.lean | le_iff_le_iff_lt_iff_lt | [] | [
521,
87
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
519,
1
] |
Mathlib/Topology/ContinuousFunction/Compact.lean | ContinuousMap.uniformEmbedding_equivBoundedOfCompact | [] | [
75,
98
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
74,
1
] |
Mathlib/CategoryTheory/Limits/Constructions/ZeroObjects.lean | CategoryTheory.Limits.pullbackZeroZeroIso_hom_snd | [
{
"state_after": "no goals",
"state_before": "C : Type u_2\ninst✝³ : Category C\ninst✝² : HasZeroObject C\ninst✝¹ : HasZeroMorphisms C\nX Y : C\ninst✝ : HasBinaryProduct X Y\n⊢ (pullbackZeroZeroIso X Y).hom ≫ prod.snd = pullback.snd",
"tactic": "simp [← Iso.eq_inv_comp]"
}
] | [
193,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
192,
1
] |
Mathlib/Algebra/Star/Module.lean | star_inv_int_cast_smul | [] | [
61,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
59,
1
] |
Mathlib/Topology/Constructions.lean | nhds_subtype_eq_comap | [] | [
1076,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1075,
1
] |
Mathlib/Data/Multiset/Basic.lean | Multiset.count_union | [] | [
2467,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2466,
1
] |
Mathlib/Order/RelClasses.lean | IsAsymm.isIrrefl | [] | [
124,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
123,
11
] |
Mathlib/Data/Set/Lattice.lean | Set.preimage_sInter | [
{
"state_after": "no goals",
"state_before": "α : Type u_2\nβ : Type u_1\nγ : Type ?u.226389\nι : Sort ?u.226392\nι' : Sort ?u.226395\nι₂ : Sort ?u.226398\nκ : ι → Sort ?u.226403\nκ₁ : ι → Sort ?u.226408\nκ₂ : ι → Sort ?u.226413\nκ' : ι' → Sort ?u.226418\nf : α → β\ns : Set (Set β)\n⊢ f ⁻¹' ⋂₀ s = ⋂ (t : Se... | [
1742,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1741,
1
] |
Mathlib/Order/WellFounded.lean | Function.argminOn_mem | [] | [
206,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
205,
1
] |
Mathlib/Algebra/Order/CompleteField.lean | LinearOrderedField.mem_cutMap_iff | [] | [
116,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
116,
1
] |
Mathlib/Analysis/SpecialFunctions/Complex/Log.lean | Complex.map_exp_comap_re_atTop | [
{
"state_after": "⊢ {0}ᶜ ∈ comap (↑abs) atTop",
"state_before": "⊢ map exp (comap re atTop) = comap (↑abs) atTop",
"tactic": "rw [← comap_exp_comap_abs_atTop, map_comap, range_exp, inf_eq_left, le_principal_iff]"
},
{
"state_after": "no goals",
"state_before": "⊢ {0}ᶜ ∈ comap (↑abs) atTop",
... | [
224,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
222,
1
] |
Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean | Complex.cos_nat_mul_two_pi | [] | [
1232,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1231,
1
] |
Mathlib/Data/List/Perm.lean | List.Perm.union_right | [
{
"state_after": "case cons\nα : Type uu\nβ : Type vv\nl₁✝¹ l₂✝¹ : List α\ninst✝ : DecidableEq α\nl₁ l₂ t₁ : List α\na : α\nl₁✝ l₂✝ : List α\na✝ : l₁✝ ~ l₂✝\nih : List.union l₁✝ t₁ ~ List.union l₂✝ t₁\n⊢ List.insert a (List.union l₁✝ t₁) ~ List.insert a (List.union l₂✝ t₁)\n\ncase swap\nα : Type uu\nβ : Type vv... | [
995,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
990,
1
] |
Mathlib/Analysis/NormedSpace/ENorm.lean | ENorm.ext | [] | [
72,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
71,
1
] |
Mathlib/Order/Filter/AtTopBot.lean | Filter.inf_map_atBot_neBot_iff | [] | [
456,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
454,
1
] |
Mathlib/LinearAlgebra/Span.lean | Submodule.submodule_eq_sSup_le_nonzero_spans | [
{
"state_after": "R : Type u_1\nR₂ : Type ?u.227879\nK : Type ?u.227882\nM : Type u_2\nM₂ : Type ?u.227888\nV : Type ?u.227891\nS✝ : Type ?u.227894\ninst✝⁵ : Semiring R\ninst✝⁴ : AddCommMonoid M\ninst✝³ : Module R M\nx : M\np✝ p' : Submodule R M\ninst✝² : Semiring R₂\nσ₁₂ : R →+* R₂\ninst✝¹ : AddCommMonoid M₂\n... | [
702,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
691,
1
] |
Mathlib/Topology/Instances/ENNReal.lean | ENNReal.nhdsWithin_Ioi_ofNat_nebot | [] | [
227,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
226,
1
] |
Std/Data/String/Lemmas.lean | String.get_cons_addChar | [
{
"state_after": "no goals",
"state_before": "c : Char\ncs : List Char\ni : Pos\n⊢ get { data := c :: cs } (i + c) = get { data := cs } i",
"tactic": "simp [get, utf8GetAux, Pos.zero_ne_addChar, utf8GetAux_addChar_right_cancel]"
}
] | [
215,
79
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
213,
1
] |
Mathlib/Dynamics/Circle/RotationNumber/TranslationNumber.lean | CircleDeg1Lift.tendsto_atTop | [
{
"state_after": "no goals",
"state_before": "f g : CircleDeg1Lift\n⊢ Tendsto (fun x => x - 1) atTop atTop",
"tactic": "simpa [sub_eq_add_neg] using tendsto_atTop_add_const_right _ _ tendsto_id"
}
] | [
553,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
550,
11
] |
Mathlib/Analysis/Calculus/FDeriv/Basic.lean | differentiableWithinAt_id | [] | [
1017,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1016,
1
] |
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