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Mathlib/Algebra/MonoidAlgebra/Basic.lean | MonoidAlgebra.nonUnitalAlgHom_ext' | [] | [
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Mathlib/Dynamics/Circle/RotationNumber/TranslationNumber.lean | CircleDeg1Lift.coe_toOrderHom | [] | [
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Mathlib/Analysis/NormedSpace/AddTorsor.lean | AffineSubspace.isClosed_direction_iff | [
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Mathlib/Data/Finset/Lattice.lean | Finset.sup_empty | [] | [
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Mathlib/RingTheory/FractionalIdeal.lean | FractionalIdeal.canonicalEquiv_spanSingleton | [
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Mathlib/Algebra/Order/Group/Abs.lean | apply_abs_le_mul_of_one_le | [] | [
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Mathlib/LinearAlgebra/Contraction.lean | homTensorHomEquiv_toLinearMap | [
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src/lean/Init/Data/String/Basic.lean | String.pos_lt_eq | [] | [
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Mathlib/Algebra/BigOperators/NatAntidiagonal.lean | Finset.Nat.prod_antidiagonal_eq_prod_range_succ_mk | [] | [
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Std/Data/String/Lemmas.lean | String.Pos.le_iff | [] | [
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Mathlib/Data/Fin/Basic.lean | Fin.ext | [] | [
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Mathlib/Order/Heyting/Hom.lean | BiheytingHom.cancel_left | [
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Mathlib/Algebra/Bounds.lean | BddAbove.inv | [] | [
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Mathlib/Topology/FiberBundle/Basic.lean | FiberBundleCore.localTrivAsLocalEquiv_trans | [
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Mathlib/Algebra/Regular/SMul.lean | IsSMulRegular.mul_and_mul_iff | [
{
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Mathlib/Logic/Equiv/Basic.lean | Equiv.semiconj_conj | [
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Mathlib/Algebra/Group/Basic.lean | mul_div_assoc | [
{
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Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.QuasiMeasurePreserving.mono_left | [] | [
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Std/Data/List/Lemmas.lean | List.erase_eq_eraseP | [
{
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{
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Mathlib/Topology/Algebra/InfiniteSum/Real.lean | cauchySeq_of_dist_le_of_summable | [
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Mathlib/Topology/Algebra/Group/Basic.lean | IsOpen.smul_left | [
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1228,
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1226,
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Mathlib/Analysis/BoxIntegral/Partition/Measure.lean | BoxIntegral.Box.measure_coe_lt_top | [] | [
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Mathlib/Geometry/Manifold/SmoothManifoldWithCorners.lean | LocalHomeomorph.isOpen_extend_source | [
{
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800,
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Mathlib/Order/LocallyFinite.lean | Prod.card_uIcc | [] | [
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Mathlib/SetTheory/Ordinal/Arithmetic.lean | Ordinal.mul_lt_of_lt_div | [] | [
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Mathlib/MeasureTheory/Function/SimpleFunc.lean | MeasureTheory.SimpleFunc.support_eq | [
{
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"tactic": "simp only [mem... | [
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Mathlib/Geometry/Manifold/SmoothManifoldWithCorners.lean | extChartAt_source_mem_nhdsWithin | [] | [
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Mathlib/Data/QPF/Multivariate/Basic.lean | MvQPF.mem_supp | [
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180,
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Mathlib/MeasureTheory/Measure/AEDisjoint.lean | MeasureTheory.AEDisjoint.measure_diff_right | [] | [
138,
49
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Mathlib/Algebra/EuclideanDomain/Basic.lean | EuclideanDomain.dvd_mod_iff | [
{
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/InnerProductSpace/PiL2.lean | EuclideanSpace.single_apply | [
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270,
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Mathlib/RingTheory/Ideal/Operations.lean | Ideal.mem_comap | [] | [
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1338,
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Mathlib/Topology/Separation.lean | PreconnectedSpace.trivial_of_discrete | [
{
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Mathlib/RingTheory/Ideal/LocalRing.lean | LocalRing.ResidueField.mapEquiv_refl | [] | [
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Mathlib/Computability/Primrec.lean | Primrec.option_bind | [
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Mathlib/Analysis/Convex/Cone/Basic.lean | ConvexCone.comap_id | [] | [
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Mathlib/Data/Finset/Basic.lean | Finset.pair_comm | [] | [
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1132,
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Mathlib/Data/Nat/Basic.lean | Nat.div_pos | [
{
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Std/Data/Array/Lemmas.lean | mkArray_data | [] | [
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Mathlib/LinearAlgebra/AffineSpace/FiniteDimensional.lean | coplanar_insert_iff_of_mem_affineSpan | [
{
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Mathlib/Analysis/Convex/Quasiconvex.lean | QuasilinearOn.monotoneOn_or_antitoneOn | [
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Mathlib/MeasureTheory/Measure/VectorMeasure.lean | MeasureTheory.Measure.toENNRealVectorMeasure_apply_measurable | [] | [
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Mathlib/Topology/Algebra/InfiniteSum/Ring.lean | Summable.tsum_mul_left | [] | [
58,
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Mathlib/Algebra/Hom/Group.lean | MulHom.coe_copy_eq | [] | [
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17
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Mathlib/LinearAlgebra/Basic.lean | Submodule.eq_zero_of_bot_submodule | [] | [
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64
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Mathlib/SetTheory/Cardinal/Basic.lean | Cardinal.exists_nat_eq_of_le_nat | [] | [
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51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1732,
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Mathlib/Computability/Primrec.lean | Primrec.ofNat | [] | [
285,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
284,
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Mathlib/Analysis/SpecialFunctions/Log/Base.lean | Real.logb_injOn_pos_of_base_lt_one | [] | [
330,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/Seminorm.lean | Seminorm.ball_smul_ball | [
{
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Mathlib/Data/PNat/Prime.lean | PNat.dvd_lcm_right | [] | [
95,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
94,
1
] |
Mathlib/Algebra/Hom/Equiv/Basic.lean | MulEquiv.coe_mk | [] | [
304,
94
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
304,
1
] |
Mathlib/Analysis/NormedSpace/OperatorNorm.lean | ContinuousLinearMap.op_norm_subsingleton | [
{
"state_after": "𝕜 : Type u_3\n𝕜₂ : Type u_4\n𝕜₃ : Type ?u.913497\nE : Type u_1\nEₗ : Type ?u.913503\nF : Type u_2\nFₗ : Type ?u.913509\nG : Type ?u.913512\nGₗ : Type ?u.913515\n𝓕 : Type ?u.913518\ninst✝¹⁷ : SeminormedAddCommGroup E\ninst✝¹⁶ : SeminormedAddCommGroup Eₗ\ninst✝¹⁵ : SeminormedAddCommGroup F\n... | [
648,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
644,
1
] |
Mathlib/Algebra/Star/Basic.lean | star_injective | [] | [
91,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
90,
1
] |
Mathlib/Data/Polynomial/Monic.lean | Polynomial.natDegree_smul_of_smul_regular | [
{
"state_after": "case pos\nR : Type u\nS✝ : Type v\na b : R\nm n : ℕ\nι : Type y\ninst✝² : Semiring R\np✝ : R[X]\nS : Type u_1\ninst✝¹ : Monoid S\ninst✝ : DistribMulAction S R\nk : S\np : R[X]\nh : IsSMulRegular R k\nhp : p = 0\n⊢ natDegree (k • p) = natDegree p\n\ncase neg\nR : Type u\nS✝ : Type v\na b : R\nm... | [
507,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
498,
1
] |
Mathlib/SetTheory/Ordinal/Basic.lean | Ordinal.enum_inj | [
{
"state_after": "α : Type u_1\nβ : Type ?u.198351\nγ : Type ?u.198354\nr✝ : α → α → Prop\ns : β → β → Prop\nt : γ → γ → Prop\nr : α → α → Prop\ninst✝ : IsWellOrder α r\no₁ o₂ : Ordinal\nh₁ : o₁ < type r\nh₂ : o₂ < type r\nh : enum r o₁ h₁ = enum r o₂ h₂\nhne : ¬o₁ = o₂\n⊢ False",
"state_before": "α : Type ... | [
1196,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1188,
1
] |
Mathlib/Analysis/Convex/Between.lean | not_sbtw_self_left | [] | [
312,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
311,
1
] |
Mathlib/Data/Complex/Basic.lean | Complex.I_pow_bit0 | [
{
"state_after": "no goals",
"state_before": "n : ℕ\n⊢ I ^ bit0 n = (-1) ^ n",
"tactic": "rw [pow_bit0', Complex.I_mul_I]"
}
] | [
471,
89
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
471,
1
] |
Std/Logic.lean | imp_self | [] | [
122,
63
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
122,
9
] |
Mathlib/Analysis/LocallyConvex/Basic.lean | Absorbs.inter | [
{
"state_after": "case intro.intro\n𝕜 : Type u_1\n𝕝 : Type ?u.125647\nE : Type u_2\nι : Sort ?u.125653\nκ : ι → Sort ?u.125658\ninst✝⁶ : NormedField 𝕜\ninst✝⁵ : NormedRing 𝕝\ninst✝⁴ : NormedSpace 𝕜 𝕝\ninst✝³ : AddCommGroup E\ninst✝² : Module 𝕜 E\ninst✝¹ : SMulWithZero 𝕝 E\ninst✝ : IsScalarTower 𝕜 𝕝 E\... | [
324,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
318,
1
] |
src/lean/Init/Data/Nat/Power2.lean | Nat.one_isPowerOfTwo | [
{
"state_after": "no goals",
"state_before": "⊢ 1 = 2 ^ 0",
"tactic": "decide"
}
] | [
30,
17
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
29,
1
] |
Mathlib/Algebra/BigOperators/Basic.lean | Finset.dvd_prod_of_mem | [
{
"state_after": "no goals",
"state_before": "ι : Type ?u.786416\nβ : Type u\nα : Type v\nγ : Type w\ns✝ s₁ s₂ : Finset α\na✝ : α\nf✝ g : α → β\ninst✝ : CommMonoid β\nf : α → β\na : α\ns : Finset α\nha : a ∈ s\n⊢ f a ∣ ∏ i in s, f i",
"tactic": "classical\n rw [Finset.prod_eq_mul_prod_diff_singleton ha... | [
1583,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1580,
1
] |
Mathlib/Algebra/Algebra/Spectrum.lean | spectrum.zero_mem_resolventSet_of_unit | [
{
"state_after": "no goals",
"state_before": "R : Type u\nA : Type v\ninst✝² : CommSemiring R\ninst✝¹ : Ring A\ninst✝ : Algebra R A\na : Aˣ\n⊢ 0 ∈ resolventSet R ↑a",
"tactic": "simpa only [mem_resolventSet_iff, ← not_mem_iff, zero_not_mem_iff] using a.isUnit"
}
] | [
197,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
196,
1
] |
Mathlib/Topology/Order.lean | le_nhdsAdjoint_iff' | [
{
"state_after": "α✝ : Type u\nβ : Type v\nα : Type u_1\na : α\nf : Filter α\nt : TopologicalSpace α\n⊢ (∀ (x : α), 𝓝 x ≤ 𝓝 x) ↔ 𝓝 a ≤ pure a ⊔ f ∧ ∀ (b : α), b ≠ a → 𝓝 b = pure b",
"state_before": "α✝ : Type u\nβ : Type v\nα : Type u_1\na : α\nf : Filter α\nt : TopologicalSpace α\n⊢ t ≤ nhdsAdjoint a f... | [
648,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
633,
1
] |
Mathlib/MeasureTheory/Group/Arithmetic.lean | AEMeasurable.pow_const | [] | [
238,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
236,
1
] |
Mathlib/RingTheory/Ideal/Operations.lean | RingHom.comap_ker | [
{
"state_after": "no goals",
"state_before": "R : Type u\nS : Type v\nT : Type w\nF : Type ?u.1721293\nG : Type ?u.1721296\ninst✝² : Semiring R\ninst✝¹ : Semiring S\ninst✝ : Semiring T\nrcf : RingHomClass F R S\nrcg : RingHomClass G T S\nf✝ : F\ng✝ : G\nf : S →+* R\ng : T →+* S\n⊢ Ideal.comap g (ker f) = ke... | [
2013,
77
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2012,
1
] |
Mathlib/GroupTheory/Submonoid/Centralizer.lean | Submonoid.centralizer_le | [] | [
84,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
83,
1
] |
Mathlib/LinearAlgebra/LinearPMap.lean | LinearPMap.coe_smul | [] | [
423,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
422,
1
] |
Mathlib/Data/Seq/Computation.lean | Computation.exists_of_LiftRel_left | [] | [
1137,
11
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1135,
1
] |
Mathlib/Topology/Category/TopCat/Opens.lean | TopologicalSpace.Opens.toTopCat_map | [] | [
125,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
123,
1
] |
Mathlib/Combinatorics/HalesJewett.lean | Combinatorics.Line.horizontal_apply | [
{
"state_after": "case h\nα : Type u_1\nι : Type u_2\nι' : Type u_3\nl : Line α ι\nv : ι' → α\nx : α\ni : ι ⊕ ι'\n⊢ (fun x i => Option.getD (idxFun (horizontal l v) i) x) x i = Sum.elim ((fun x i => Option.getD (idxFun l i) x) x) v i",
"state_before": "α : Type u_1\nι : Type u_2\nι' : Type u_3\nl : Line α ι... | [
210,
18
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
207,
1
] |
Mathlib/Algebra/Parity.lean | Odd.pos | [
{
"state_after": "case intro\nF : Type ?u.100603\nα : Type u_1\nβ : Type ?u.100609\nR : Type ?u.100612\ninst✝¹ : CanonicallyOrderedCommSemiring α\ninst✝ : Nontrivial α\nk : α\n⊢ 0 < 2 * k + 1",
"state_before": "F : Type ?u.100603\nα : Type u_1\nβ : Type ?u.100609\nR : Type ?u.100612\ninst✝¹ : CanonicallyOrd... | [
406,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
403,
1
] |
Mathlib/Topology/ContinuousOn.lean | nhdsWithin_insert | [
{
"state_after": "no goals",
"state_before": "α : Type u_1\nβ : Type ?u.19057\nγ : Type ?u.19060\nδ : Type ?u.19063\ninst✝ : TopologicalSpace α\na : α\ns : Set α\n⊢ 𝓝[insert a s] a = pure a ⊔ 𝓝[s] a",
"tactic": "rw [← singleton_union, nhdsWithin_union, nhdsWithin_singleton]"
}
] | [
287,
65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
286,
1
] |
Mathlib/Algebra/Module/Submodule/Lattice.lean | Submodule.top_toAddSubmonoid | [] | [
150,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
149,
1
] |
Mathlib/Data/Polynomial/Degree/Definitions.lean | Polynomial.natDegree_linear | [] | [
1164,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1163,
1
] |
Mathlib/Data/Nat/Bitwise.lean | Nat.testBit_two_pow_of_ne | [
{
"state_after": "n m : ℕ\nhm : n ≠ m\n⊢ bodd (2 ^ n / 2 ^ m) = false",
"state_before": "n m : ℕ\nhm : n ≠ m\n⊢ testBit (2 ^ n) m = false",
"tactic": "rw [testBit, shiftr_eq_div_pow]"
},
{
"state_after": "case inl\nn m : ℕ\nhm✝ : n ≠ m\nhm : n < m\n⊢ bodd (2 ^ n / 2 ^ m) = false\n\ncase inr\nn m... | [
155,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
146,
1
] |
Mathlib/Data/Part.lean | Part.map_eq_map | [] | [
613,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
612,
1
] |
Mathlib/Topology/Separation.lean | t2_separation_compact_nhds | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\ninst✝² : TopologicalSpace α\ninst✝¹ : LocallyCompactSpace α\ninst✝ : T2Space α\nx y : α\nh : x ≠ y\n⊢ ∃ u v, u ∈ 𝓝 x ∧ v ∈ 𝓝 y ∧ IsCompact u ∧ IsCompact v ∧ Disjoint u v",
"tactic": "simpa only [exists_prop, ← exists_and_left, and_c... | [
943,
92
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
940,
1
] |
Mathlib/Data/Polynomial/Basic.lean | Polynomial.toFinsupp_inj | [] | [
261,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
260,
1
] |
Mathlib/Order/Monotone/Monovary.lean | antivary_toDual_left | [] | [
259,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
258,
1
] |
Mathlib/Geometry/Euclidean/Angle/Unoriented/Affine.lean | EuclideanGeometry.angle_left_midpoint_eq_pi_div_two_of_dist_eq | [
{
"state_after": "V : Type u_2\nP : Type u_1\ninst✝³ : NormedAddCommGroup V\ninst✝² : InnerProductSpace ℝ V\ninst✝¹ : MetricSpace P\ninst✝ : NormedAddTorsor V P\np1 p2 p3 : P\nh : dist p3 p1 = dist p3 p2\nm : P := midpoint ℝ p1 p2\n⊢ ∠ p3 (midpoint ℝ p1 p2) p1 = π / 2",
"state_before": "V : Type u_2\nP : Ty... | [
269,
85
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
262,
1
] |
Mathlib/MeasureTheory/Integral/IntegralEqImproper.lean | MeasureTheory.integral_comp_mul_right_Ioi | [
{
"state_after": "no goals",
"state_before": "E : Type u_1\nf : ℝ → E\ninst✝² : NormedAddCommGroup E\ninst✝¹ : NormedSpace ℝ E\ninst✝ : CompleteSpace E\ng : ℝ → E\na b : ℝ\nhb : 0 < b\n⊢ (∫ (x : ℝ) in Ioi a, g (x * b)) = abs b⁻¹ • ∫ (x : ℝ) in Ioi (a * b), g x",
"tactic": "simpa only [mul_comm] using in... | [
891,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
889,
1
] |
Mathlib/Deprecated/Subring.lean | Ring.mem_closure | [] | [
188,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
187,
1
] |
Mathlib/Data/TypeVec.lean | TypeVec.splitFun_inj | [
{
"state_after": "n : ℕ\nα : TypeVec (n + 1)\nα' : TypeVec (n + 1)\nf f' : drop α ⟹ drop α'\ng g' : last α → last α'\nH : splitFun f g = splitFun f' g'\n⊢ dropFun (splitFun f' g') = f' ∧ lastFun (splitFun f' g') = g'",
"state_before": "n : ℕ\nα : TypeVec (n + 1)\nα' : TypeVec (n + 1)\nf f' : drop α ⟹ drop α... | [
234,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
232,
1
] |
Mathlib/Order/JordanHolder.lean | CompositionSeries.ofList_toList | [
{
"state_after": "case refine'_1\nX : Type u\ninst✝¹ : Lattice X\ninst✝ : JordanHolderLattice X\ns : CompositionSeries X\n⊢ (ofList (toList s) (_ : toList s ≠ []) (_ : List.Chain' IsMaximal (toList s))).length = s.length\n\ncase refine'_2\nX : Type u\ninst✝¹ : Lattice X\ninst✝ : JordanHolderLattice X\ns : Compo... | [
296,
43
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
290,
1
] |
Mathlib/Computability/Ackermann.lean | ack_ack_lt_ack_max_add_two | [] | [
296,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
290,
1
] |
Mathlib/Analysis/Subadditive.lean | Subadditive.tendsto_lim | [
{
"state_after": "case refine'_1\nu : ℕ → ℝ\nh : Subadditive u\nhbdd : BddBelow (range fun n => u n / ↑n)\nl : ℝ\nhl : l < Subadditive.lim h\n⊢ ∀ᶠ (b : ℕ) in atTop, l < u b / ↑b\n\ncase refine'_2\nu : ℕ → ℝ\nh : Subadditive u\nhbdd : BddBelow (range fun n => u n / ↑n)\nL : ℝ\nhL : L > Subadditive.lim h\n⊢ ∀ᶠ (b... | [
98,
52
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
88,
1
] |
Mathlib/FieldTheory/PerfectClosure.lean | RingHom.map_iterate_pthRoot | [] | [
120,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
118,
1
] |
Mathlib/LinearAlgebra/Basis.lean | Basis.singleton_repr | [
{
"state_after": "no goals",
"state_before": "ι✝ : Type ?u.612908\nι' : Type ?u.612911\nR✝ : Type ?u.612914\nR₂ : Type ?u.612917\nK : Type ?u.612920\nM : Type ?u.612923\nM' : Type ?u.612926\nM'' : Type ?u.612929\nV : Type u\nV' : Type ?u.612934\ninst✝⁶ : Semiring R✝\ninst✝⁵ : AddCommMonoid M\ninst✝⁴ : Modul... | [
829,
89
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
828,
1
] |
Std/Data/String/Lemmas.lean | String.drop_eq | [] | [
1090,
43
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
1089,
1
] |
Mathlib/LinearAlgebra/TensorAlgebra/Basic.lean | TensorAlgebra.ringQuot_mkAlgHom_freeAlgebra_ι_eq_ι | [
{
"state_after": "R : Type u_1\ninst✝² : CommSemiring R\nM : Type u_2\ninst✝¹ : AddCommMonoid M\ninst✝ : Module R M\nm : M\n⊢ ↑(RingQuot.mkAlgHom R (Rel R M)) (FreeAlgebra.ι R m) =\n ↑{\n toAddHom :=\n { toFun := fun m => ↑(RingQuot.mkAlgHom R (Rel R M)) (FreeAlgebra.ι R m),\n ... | [
97,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
94,
1
] |
Mathlib/Topology/UniformSpace/UniformConvergenceTopology.lean | UniformOnFun.postcomp_uniformInducing | [
{
"state_after": "case comap_uniformity\nα : Type u_3\nβ : Type u_2\nγ : Type u_1\nι : Type ?u.78533\ns s' : Set α\nx : α\np : Filter ι\ng : ι → α\ninst✝¹ : UniformSpace β\n𝔖 : Set (Set α)\ninst✝ : UniformSpace γ\nf : γ → β\nhf : UniformInducing f\n⊢ comap\n (fun x =>\n ((↑(ofFun 𝔖) ∘ (fun x x_1 =... | [
783,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
774,
11
] |
Mathlib/Order/Filter/Basic.lean | Filter.le_principal_iff | [] | [
646,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
645,
1
] |
Mathlib/GroupTheory/SpecificGroups/Alternating.lean | Equiv.Perm.finRotate_bit1_mem_alternatingGroup | [
{
"state_after": "no goals",
"state_before": "α : Type ?u.27282\ninst✝¹ : Fintype α\ninst✝ : DecidableEq α\nn : ℕ\n⊢ finRotate (bit1 n) ∈ alternatingGroup (Fin (bit1 n))",
"tactic": "rw [mem_alternatingGroup, bit1, sign_finRotate, pow_bit0', Int.units_mul_self, one_pow]"
}
] | [
92,
90
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
90,
1
] |
Mathlib/Algebra/Algebra/Subalgebra/Basic.lean | AlgEquiv.ofInjective_apply | [] | [
729,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
727,
1
] |
Mathlib/FieldTheory/Tower.lean | FiniteDimensional.finrank_mul_finrank' | [
{
"state_after": "F : Type u\nK : Type v\nA : Type w\ninst✝¹³ : CommRing F\ninst✝¹² : Ring K\ninst✝¹¹ : AddCommGroup A\ninst✝¹⁰ : Algebra F K\ninst✝⁹ : Module K A\ninst✝⁸ : Module F A\ninst✝⁷ : IsScalarTower F K A\ninst✝⁶ : StrongRankCondition F\ninst✝⁵ : StrongRankCondition K\ninst✝⁴ : Module.Free F K\ninst✝³ ... | [
87,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
81,
1
] |
Std/Data/Nat/Lemmas.lean | Nat.min_zero | [] | [
194,
83
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
194,
11
] |
Mathlib/Algebra/Group/Pi.lean | Function.const_ne_one | [] | [
652,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
651,
1
] |
Mathlib/Data/Real/ENNReal.lean | ENNReal.sub_lt_of_sub_lt | [] | [
1185,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1184,
1
] |
Mathlib/RingTheory/TensorProduct.lean | Algebra.TensorProduct.map_comp_includeRight | [
{
"state_after": "no goals",
"state_before": "R : Type u\ninst✝⁸ : CommSemiring R\nA : Type v₁\ninst✝⁷ : Semiring A\ninst✝⁶ : Algebra R A\nB : Type v₂\ninst✝⁵ : Semiring B\ninst✝⁴ : Algebra R B\nC : Type v₃\ninst✝³ : Semiring C\ninst✝² : Algebra R C\nD : Type v₄\ninst✝¹ : Semiring D\ninst✝ : Algebra R D\nf ... | [
881,
24
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
879,
1
] |
Mathlib/Computability/Language.lean | Language.mem_kstar | [] | [
125,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
124,
1
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