file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
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Mathlib/RingTheory/IsTensorProduct.lean | IsTensorProduct.equiv_toLinearMap | [] | [
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Mathlib/CategoryTheory/Sites/Grothendieck.lean | CategoryTheory.GrothendieckTopology.trivial_covering | [] | [
255,
24
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Mathlib/Algebra/BigOperators/Intervals.lean | Finset.prod_Ico_succ_top | [
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Mathlib/Data/ZMod/Basic.lean | ZMod.cast_pow' | [] | [
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Mathlib/Algebra/Regular/SMul.lean | IsSMulRegular.of_mul_eq_one | [
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Mathlib/Topology/Separation.lean | isOpen_singleton_of_finite_mem_nhds | [
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Mathlib/Order/Filter/ENNReal.lean | ENNReal.limsup_mul_le | [
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Mathlib/CategoryTheory/Localization/Predicate.lean | CategoryTheory.Localization.essSurj | [] | [
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Mathlib/Order/Cover.lean | toDual_covby_toDual_iff | [] | [
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Mathlib/CategoryTheory/Adjunction/Basic.lean | CategoryTheory.Adjunction.he'' | [
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Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.isLittleO_iff_forall_isBigOWith | [
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Mathlib/Analysis/Calculus/Deriv/Basic.lean | HasDerivAt.hasDerivAtFilter | [] | [
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Mathlib/Data/Finite/Card.lean | Finite.card_le_of_surjective | [
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Mathlib/Order/Minimal.lean | IsAntichain.minimals_upperClosure | [
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Mathlib/LinearAlgebra/FiniteDimensional.lean | FiniteDimensional.lt_aleph0_of_linearIndependent | [
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Mathlib/Order/Atoms.lean | IsCoatom.Ici | [] | [
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Mathlib/Topology/Instances/ENNReal.lean | ENNReal.mul_iSup | [
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Mathlib/Data/Multiset/Sort.lean | Multiset.sort_zero | [] | [
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Mathlib/Data/Sum/Order.lean | OrderIso.sumLexDualAntidistrib_inl | [] | [
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Mathlib/Analysis/Convex/Side.lean | AffineSubspace.wOppSide_pointReflection | [] | [
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Mathlib/Data/Sigma/Basic.lean | Prod.fst_comp_toSigma | [] | [
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Mathlib/Analysis/Calculus/FDeriv/Mul.lean | Differentiable.smul | [] | [
214,
71
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213,
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Mathlib/Data/Nat/Prime.lean | Nat.Prime.minFac_eq | [] | [
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28
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Mathlib/Init/CcLemmas.lean | not_eq_of_eq_false | [] | [
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Mathlib/Algebra/Ring/Equiv.lean | RingEquiv.toAddMonoidMom_commutes | [] | [
718,
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Mathlib/LinearAlgebra/Isomorphisms.lean | LinearMap.quotientInfEquivSupQuotient_symm_apply_right | [] | [
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58
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Mathlib/Data/Fintype/Basic.lean | Finset.compl_insert | [
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Mathlib/Topology/Separation.lean | Inducing.injective | [] | [
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Mathlib/Data/Multiset/Dedup.lean | Multiset.dedup_cons_of_not_mem | [] | [
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Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.Integrable.add' | [
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Mathlib/Data/Set/Lattice.lean | Set.biInter_subset_of_mem | [] | [
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Mathlib/RingTheory/GradedAlgebra/Basic.lean | GradedRing.proj_recompose | [
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Mathlib/LinearAlgebra/LinearIndependent.lean | linearIndependent_iff_not_smul_mem_span | [
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Mathlib/Analysis/Normed/Field/Basic.lean | Real.toNNReal_mul_nnnorm | [
{
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Mathlib/Order/Monotone/Monovary.lean | MonovaryOn.comp_antitoneOn_right | [] | [
369,
79
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Mathlib/RepresentationTheory/Action.lean | Action.functorCategoryMonoidalEquivalence.μIso_inv_app | [
{
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Mathlib/GroupTheory/Index.lean | Subgroup.index_eq_zero_of_relindex_eq_zero | [] | [
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Mathlib/LinearAlgebra/AffineSpace/Independent.lean | affineIndependent_of_ne_of_mem_of_not_mem_of_mem | [
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Mathlib/Combinatorics/Pigeonhole.lean | Finset.exists_card_fiber_lt_of_card_lt_nsmul | [
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Mathlib/Algebra/Order/Sub/Canonical.lean | tsub_self_add | [] | [
349,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/SpecialFunctions/Arsinh.lean | ContDiffOn.arsinh | [] | [
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30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/MeasureTheory/PiSystem.lean | mem_generatePiSystem_iUnion_elim | [
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Mathlib/RingTheory/IntegralClosure.lean | IsIntegralClosure.algebraMap_injective | [] | [
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Mathlib/Analysis/Normed/Group/Hom.lean | NormedAddGroupHom.norm_incl | [] | [
729,
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Mathlib/Data/Matrix/Block.lean | Matrix.blockDiagonal_one | [
{
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416,
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src/lean/Init/Data/List/Basic.lean | List.drop_nil | [
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Mathlib/Data/Set/Finite.lean | Set.infinite_of_not_bddBelow | [
{
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Mathlib/Data/IsROrC/Basic.lean | IsROrC.bit0_im | [] | [
190,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
189,
1
] |
Mathlib/Algebra/Regular/Pow.lean | IsRightRegular.pow_iff | [
{
"state_after": "R : Type u_1\na b : R\ninst✝ : Monoid R\nn : ℕ\nn0 : 0 < n\n⊢ IsRightRegular (a ^ n) → IsRightRegular a",
"state_before": "R : Type u_1\na b : R\ninst✝ : Monoid R\nn : ℕ\nn0 : 0 < n\n⊢ IsRightRegular (a ^ n) ↔ IsRightRegular a",
"tactic": "refine' ⟨_, IsRightRegular.pow n⟩"
},
{
... | [
60,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
56,
1
] |
Mathlib/Algebra/GCDMonoid/Basic.lean | lcm_eq_zero_iff | [
{
"state_after": "α : Type u_1\ninst✝¹ : CancelCommMonoidWithZero α\ninst✝ : GCDMonoid α\na b : α\nh : lcm a b = 0\nthis : Associated (a * b) 0\n⊢ a = 0 ∨ b = 0",
"state_before": "α : Type u_1\ninst✝¹ : CancelCommMonoidWithZero α\ninst✝ : GCDMonoid α\na b : α\nh : lcm a b = 0\n⊢ a = 0 ∨ b = 0",
"tactic"... | [
733,
76
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
728,
1
] |
Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean | MeasureTheory.measure_toMeasurable | [
{
"state_after": "α : Type u_1\nβ : Type ?u.144519\nγ : Type ?u.144522\nδ : Type ?u.144525\nι : Type ?u.144528\ninst✝ : MeasurableSpace α\nμ μ₁ μ₂ : Measure α\ns✝ s₁ s₂ t s : Set α\n⊢ ↑↑μ\n (if h : ∃ t x, MeasurableSet t ∧ t =ᵐ[μ] s then Exists.choose h\n else\n if h' : ∃ t x, MeasurableSet t ∧... | [
623,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
619,
1
] |
Mathlib/Algebra/Group/Pi.lean | Pi.update_eq_div_mul_mulSingle | [
{
"state_after": "case h\nι : Type ?u.76203\nα : Type ?u.76206\nI : Type u\nf : I → Type v\nx✝ y : (i : I) → f i\ni j✝ : I\ninst✝¹ : DecidableEq I\ninst✝ : (i : I) → Group (f i)\ng : (i : I) → f i\nx : f i\nj : I\n⊢ Function.update g i x j = (g / mulSingle i (g i) * mulSingle i x) j",
"state_before": "ι : T... | [
572,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
567,
1
] |
Mathlib/LinearAlgebra/AffineSpace/AffineEquiv.lean | AffineEquiv.toAffineMap_injective | [
{
"state_after": "case mk.mk\nk : Type u_5\nP₁ : Type u_1\nP₂ : Type u_2\nP₃ : Type ?u.29718\nP₄ : Type ?u.29721\nV₁ : Type u_3\nV₂ : Type u_4\nV₃ : Type ?u.29730\nV₄ : Type ?u.29733\ninst✝¹² : Ring k\ninst✝¹¹ : AddCommGroup V₁\ninst✝¹⁰ : Module k V₁\ninst✝⁹ : AffineSpace V₁ P₁\ninst✝⁸ : AddCommGroup V₂\ninst✝⁷... | [
87,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
81,
1
] |
Mathlib/Logic/Function/Basic.lean | Function.ne_iff | [] | [
90,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
89,
1
] |
Mathlib/Topology/LocalHomeomorph.lean | LocalHomeomorph.restr_trans | [] | [
893,
95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
892,
1
] |
Mathlib/Data/Rat/Lemmas.lean | Rat.mul_num_den' | [
{
"state_after": "q r : ℚ\ns : ℚ := q.num * r.num /. (↑q.den * ↑r.den)\n⊢ (q * r).num * ↑q.den * ↑r.den = q.num * r.num * ↑(q * r).den",
"state_before": "q r : ℚ\n⊢ (q * r).num * ↑q.den * ↑r.den = q.num * r.num * ↑(q * r).den",
"tactic": "let s := q.num * r.num /. (q.den * r.den : ℤ)"
},
{
"stat... | [
145,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
126,
1
] |
Mathlib/Analysis/Convex/Integral.lean | ae_eq_const_or_norm_average_lt_of_norm_le_const | [
{
"state_after": "case inl\nα : Type u_2\nE : Type u_1\nF : Type ?u.2443666\nm0 : MeasurableSpace α\ninst✝⁶ : NormedAddCommGroup E\ninst✝⁵ : NormedSpace ℝ E\ninst✝⁴ : CompleteSpace E\ninst✝³ : NormedAddCommGroup F\ninst✝² : NormedSpace ℝ F\ninst✝¹ : CompleteSpace F\nμ : MeasureTheory.Measure α\ns : Set E\nt : S... | [
343,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
330,
1
] |
Mathlib/Data/Real/ENNReal.lean | ENNReal.exists_ne_top' | [] | [
261,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
260,
1
] |
Mathlib/Topology/Homotopy/Basic.lean | ContinuousMap.Homotopy.coe_toContinuousMap | [] | [
154,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
153,
1
] |
Mathlib/Data/Finset/Lattice.lean | Finset.iSup_finset_image | [
{
"state_after": "no goals",
"state_before": "F : Type ?u.450915\nα : Type u_3\nβ : Type u_2\nγ : Type u_1\nι : Type ?u.450927\nκ : Type ?u.450930\ninst✝¹ : CompleteLattice β\ninst✝ : DecidableEq α\nf : γ → α\ng : α → β\ns : Finset γ\n⊢ (⨆ (x : α) (_ : x ∈ image f s), g x) = ⨆ (y : γ) (_ : y ∈ s), g (f y)",... | [
1969,
101
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1968,
1
] |
Mathlib/RingTheory/Ideal/Operations.lean | RingHom.ker_coe_equiv | [
{
"state_after": "no goals",
"state_before": "R : Type u\nS : Type v\nT : Type w\nF : Type ?u.1772041\ninst✝¹ : Ring R\ninst✝ : Semiring S\nrc : RingHomClass F R S\nf✝ : F\nf : R ≃+* S\n⊢ ker ↑f = ⊥",
"tactic": "simpa only [← injective_iff_ker_eq_bot] using EquivLike.injective f"
}
] | [
2043,
70
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2042,
1
] |
Mathlib/Data/Set/Pointwise/Basic.lean | Set.Nonempty.mul_zero | [
{
"state_after": "no goals",
"state_before": "F : Type ?u.106599\nα : Type u_1\nβ : Type ?u.106605\nγ : Type ?u.106608\ninst✝ : MulZeroClass α\ns t : Set α\nhs : Set.Nonempty s\n⊢ 0 ⊆ s * 0",
"tactic": "simpa [mem_mul] using hs"
}
] | [
1145,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1144,
1
] |
Mathlib/Algebra/Lie/Subalgebra.lean | LieSubalgebra.homOfLe_apply | [] | [
610,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
609,
1
] |
Mathlib/Topology/UrysohnsLemma.lean | Urysohns.CU.tendsto_approx_atTop | [] | [
223,
87
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
221,
1
] |
Mathlib/Topology/MetricSpace/Infsep.lean | Set.nontrivial_of_infsep_pos | [
{
"state_after": "α : Type u_1\nβ : Type ?u.55856\ninst✝ : EDist α\nx y : α\ns : Set α\nhs : ¬Set.Nontrivial s\n⊢ ¬0 < infsep s",
"state_before": "α : Type u_1\nβ : Type ?u.55856\ninst✝ : EDist α\nx y : α\ns : Set α\nhs : 0 < infsep s\n⊢ Set.Nontrivial s",
"tactic": "contrapose hs"
},
{
"state_a... | [
362,
37
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
359,
1
] |
Mathlib/Data/Set/Pointwise/Interval.lean | Set.preimage_const_mul_Icc_of_neg | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\ninst✝ : LinearOrderedField α\na✝ a b c : α\nh : c < 0\n⊢ (fun x x_1 => x * x_1) c ⁻¹' Icc a b = Icc (b / c) (a / c)",
"tactic": "simpa only [mul_comm] using preimage_mul_const_Icc_of_neg a b h"
}
] | [
685,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
683,
1
] |
Mathlib/Data/PEquiv.lean | PEquiv.trans_single_of_eq_none | [
{
"state_after": "case h.a\nα : Type u\nβ : Type v\nγ : Type w\nδ : Type x\ninst✝² : DecidableEq α\ninst✝¹ : DecidableEq β\ninst✝ : DecidableEq γ\nb : β\nc : γ\nf : δ ≃. β\nh : ↑(PEquiv.symm f) b = none\nx✝ : δ\na✝ : γ\n⊢ a✝ ∈ ↑(PEquiv.trans f (single b c)) x✝ ↔ a✝ ∈ ↑⊥ x✝",
"state_before": "α : Type u\nβ :... | [
400,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
393,
1
] |
Std/Data/List/Basic.lean | List.takeDTR_go_eq | [
{
"state_after": "no goals",
"state_before": "α✝ : Type u_1\ndflt : α✝\nacc : Array α✝\nx✝ : List α✝\n⊢ takeDTR.go dflt 0 x✝ acc = acc.data ++ takeD 0 x✝ dflt",
"tactic": "simp [takeDTR.go]"
},
{
"state_after": "no goals",
"state_before": "α✝ : Type u_1\ndflt : α✝\nacc : Array α✝\nn✝ : Nat\n... | [
605,
57
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
602,
1
] |
Mathlib/Combinatorics/Composition.lean | Composition.single_blocksFun | [
{
"state_after": "no goals",
"state_before": "n✝ : ℕ\nc : Composition n✝\nn : ℕ\nh : 0 < n\ni : Fin (length (single n h))\n⊢ blocksFun (single n h) i = n",
"tactic": "simp [blocksFun, single, blocks, i.2]"
}
] | [
588,
77
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
587,
1
] |
Mathlib/RingTheory/Polynomial/Basic.lean | Ideal.leadingCoeffNth_mono | [
{
"state_after": "R : Type u\nS : Type ?u.180424\ninst✝¹ : CommSemiring R\ninst✝ : Semiring S\nI : Ideal R[X]\nm n : ℕ\nH : m ≤ n\nr : R\nhr : r ∈ leadingCoeffNth I m\n⊢ r ∈ leadingCoeffNth I n",
"state_before": "R : Type u\nS : Type ?u.180424\ninst✝¹ : CommSemiring R\ninst✝ : Semiring S\nI : Ideal R[X]\nm ... | [
598,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
590,
1
] |
Mathlib/MeasureTheory/Function/SimpleFunc.lean | MeasureTheory.SimpleFunc.const_mul_lintegral | [] | [
1026,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1020,
1
] |
Mathlib/GroupTheory/MonoidLocalization.lean | Submonoid.LocalizationMap.toMap_injective | [] | [
571,
41
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
570,
1
] |
Mathlib/Order/Filter/Germ.lean | Filter.Germ.mk'_eq_coe | [] | [
137,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
135,
1
] |
Mathlib/Topology/MetricSpace/Algebra.lean | dist_pair_smul | [] | [
149,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
148,
1
] |
Mathlib/Data/Subtype.lean | Subtype.heq_iff_coe_eq | [] | [
79,
78
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
76,
1
] |
Mathlib/RingTheory/Subring/Basic.lean | Subring.toSubmonoid_strictMono | [] | [
288,
98
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
288,
1
] |
Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometryEquiv.continuous | [] | [
677,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
676,
11
] |
Mathlib/Algebra/DirectSum/Ring.lean | DirectSum.of_zero_mul | [] | [
444,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
443,
1
] |
Mathlib/GroupTheory/Subgroup/Basic.lean | Subgroup.mem_bot | [] | [
864,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
863,
1
] |
Mathlib/Algebra/Order/Rearrangement.lean | Antivary.sum_smul_lt_sum_comp_perm_smul_iff | [
{
"state_after": "no goals",
"state_before": "ι : Type u_1\nα : Type u_2\nβ : Type u_3\ninst✝⁴ : LinearOrderedRing α\ninst✝³ : LinearOrderedAddCommGroup β\ninst✝² : Module α β\ninst✝¹ : OrderedSMul α β\ns : Finset ι\nσ : Perm ι\nf : ι → α\ng : ι → β\ninst✝ : Fintype ι\nhfg : Antivary f g\n⊢ ∑ i : ι, f i • g... | [
334,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
332,
1
] |
Mathlib/Algebra/Regular/Basic.lean | isRightRegular_zero_iff_subsingleton | [] | [
221,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
220,
1
] |
Mathlib/Algebra/Order/Field/Power.lean | zpow_le_max_of_min_le | [] | [
109,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
106,
1
] |
Mathlib/Algebra/Ring/Equiv.lean | RingEquiv.self_trans_symm | [] | [
856,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
855,
1
] |
Mathlib/Order/Filter/Basic.lean | Filter.join_pure | [] | [
1995,
68
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1995,
9
] |
Mathlib/RingTheory/Polynomial/Chebyshev.lean | Polynomial.Chebyshev.T_one | [] | [
81,
33
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
81,
1
] |
Mathlib/LinearAlgebra/Matrix/SesquilinearForm.lean | LinearMap.toMatrix₂_basisFun | [
{
"state_after": "case h.a.h\nR : Type u_1\nR₁ : Type ?u.1414675\nR₂ : Type ?u.1414678\nM : Type ?u.1414681\nM₁ : Type ?u.1414684\nM₂ : Type ?u.1414687\nM₁' : Type ?u.1414690\nM₂' : Type ?u.1414693\nn : Type u_2\nm : Type u_3\nn' : Type ?u.1414702\nm' : Type ?u.1414705\nι : Type ?u.1414708\ninst✝⁸ : CommRing R\... | [
417,
99
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
414,
1
] |
Mathlib/Analysis/SpecialFunctions/Trigonometric/ArctanDeriv.lean | Real.deriv_tan | [
{
"state_after": "x : ℝ\nh : cos x = 0\nthis : ¬DifferentiableAt ℝ tan x\n⊢ deriv tan x = ↑1 / cos x ^ 2",
"state_before": "x : ℝ\nh : cos x = 0\n⊢ deriv tan x = ↑1 / cos x ^ 2",
"tactic": "have : ¬DifferentiableAt ℝ tan x := mt differentiableAt_tan.1 (Classical.not_not.2 h)"
},
{
"state_after":... | [
68,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
64,
1
] |
Mathlib/Data/List/Basic.lean | List.choose_property | [] | [
3983,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
3982,
1
] |
Mathlib/Data/Real/Irrational.lean | irrational_add_nat_iff | [] | [
558,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
557,
1
] |
Mathlib/Algebra/GCDMonoid/Basic.lean | normalize_eq_one | [] | [
160,
89
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
159,
1
] |
Mathlib/Combinatorics/SimpleGraph/Basic.lean | SimpleGraph.coe_edgeFinset | [] | [
892,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
891,
1
] |
Mathlib/Analysis/SpecialFunctions/Trigonometric/Deriv.lean | HasFDerivAt.sinh | [] | [
1130,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1128,
1
] |
Mathlib/Algebra/Module/Torsion.lean | Submodule.torsion_gc | [] | [
382,
96
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
377,
1
] |
Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometryEquiv.map_smul | [] | [
971,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
970,
1
] |
Mathlib/Data/Set/Intervals/Basic.lean | Set.Iic_prod_eq | [] | [
1896,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1895,
1
] |
Mathlib/Algebra/Hom/Ring.lean | NonUnitalRingHom.copy_eq | [] | [
169,
17
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
168,
1
] |
Mathlib/Algebra/GroupWithZero/Units/Basic.lean | Units.inv_mul' | [] | [
212,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
211,
1
] |
Mathlib/Algebra/Algebra/Subalgebra/Basic.lean | Subalgebra.mem_carrier | [] | [
66,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
65,
1
] |
Mathlib/Analysis/LocallyConvex/BalancedCoreHull.lean | balancedCoreAux_balanced | [
{
"state_after": "case intro.intro\n𝕜 : Type u_2\nE : Type u_1\nι : Type ?u.47476\ninst✝² : NormedField 𝕜\ninst✝¹ : AddCommGroup E\ninst✝ : Module 𝕜 E\ns t : Set E\nh0 : 0 ∈ balancedCoreAux 𝕜 s\na : 𝕜\nha : ‖a‖ ≤ 1\ny : E\nhy : y ∈ balancedCoreAux 𝕜 s\n⊢ (fun x => a • x) y ∈ balancedCoreAux 𝕜 s",
"st... | [
186,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
175,
1
] |
Mathlib/Analysis/Calculus/Deriv/Add.lean | deriv_sum | [] | [
194,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
192,
1
] |
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