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/Geometry/Manifold/SmoothManifoldWithCorners.lean | ModelWithCorners.left_inv | [
{
"state_after": "𝕜 : Type u_3\ninst✝³ : NontriviallyNormedField 𝕜\nE : Type u_2\ninst✝² : NormedAddCommGroup E\ninst✝¹ : NormedSpace 𝕜 E\nH : Type u_1\ninst✝ : TopologicalSpace H\nI : ModelWithCorners 𝕜 E H\nx : H\n⊢ x ∈ I.source",
"state_before": "𝕜 : Type u_3\ninst✝³ : NontriviallyNormedField 𝕜\nE ... | [
262,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
262,
11
] |
Mathlib/Algebra/Order/Sub/Defs.lean | add_tsub_cancel_right | [] | [
359,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
358,
1
] |
Mathlib/Topology/Algebra/Module/Basic.lean | ContinuousLinearMap.map_smul | [
{
"state_after": "no goals",
"state_before": "R₁ : Type u_1\nR₂ : Type ?u.306971\nR₃ : Type ?u.306974\ninst✝¹⁷ : Semiring R₁\ninst✝¹⁶ : Semiring R₂\ninst✝¹⁵ : Semiring R₃\nσ₁₂ : R₁ →+* R₂\nσ₂₃ : R₂ →+* R₃\nσ₁₃ : R₁ →+* R₃\nM₁ : Type u_3\ninst✝¹⁴ : TopologicalSpace M₁\ninst✝¹³ : AddCommMonoid M₁\nM'₁ : Type ... | [
505,
91
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
504,
11
] |
Mathlib/GroupTheory/GroupAction/Basic.lean | MulAction.mem_orbit_iff | [] | [
58,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
57,
1
] |
Mathlib/Analysis/SpecialFunctions/Arsinh.lean | ContDiffWithinAt.arsinh | [] | [
282,
55
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
280,
1
] |
Mathlib/CategoryTheory/Idempotents/Karoubi.lean | CategoryTheory.Idempotents.Karoubi.coe_X | [
{
"state_after": "no goals",
"state_before": "C : Type u_1\ninst✝ : Category C\nX : C\n⊢ (mk X (𝟙 X)).X = X",
"tactic": "rfl"
}
] | [
138,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
138,
1
] |
Mathlib/RingTheory/PowerSeries/Basic.lean | MvPowerSeries.inv_mul_cancel | [
{
"state_after": "no goals",
"state_before": "σ : Type u_1\nR : Type ?u.1868042\nk : Type u_2\ninst✝ : Field k\nφ : MvPowerSeries σ k\nh : ↑(constantCoeff σ k) φ ≠ 0\n⊢ φ⁻¹ * φ = 1",
"tactic": "rw [mul_comm, φ.mul_inv_cancel h]"
}
] | [
991,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
990,
11
] |
Mathlib/Probability/Integration.lean | ProbabilityTheory.IndepFun.integral_mul_of_nonneg | [
{
"state_after": "Ω : Type u_1\nmΩ : MeasurableSpace Ω\nμ : MeasureTheory.Measure Ω\nf g : Ω → ℝ≥0∞\nX Y : Ω → ℝ\nhXY : IndepFun X Y\nhXp : 0 ≤ X\nhYp : 0 ≤ Y\nhXm : AEMeasurable X\nhYm : AEMeasurable Y\nh1 : AEMeasurable fun a => ENNReal.ofReal (X a)\n⊢ integral μ (X * Y) = integral μ X * integral μ Y",
"s... | [
220,
69
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
205,
1
] |
Mathlib/Combinatorics/Additive/Behrend.lean | Behrend.four_zero_nine_six_lt_exp_sixteen | [
{
"state_after": "α : Type ?u.838456\nβ : Type ?u.838459\nn d k N : ℕ\nx : Fin n → ℕ\n⊢ 12 * log 2 < 16",
"state_before": "α : Type ?u.838456\nβ : Type ?u.838459\nn d k N : ℕ\nx : Fin n → ℕ\n⊢ 4096 < exp 16",
"tactic": "rw [← log_lt_iff_lt_exp (show (0 : ℝ) < 4096 by norm_num), show (4096 : ℝ) = 2 ^ 12 ... | [
530,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
526,
1
] |
Mathlib/GroupTheory/Perm/Support.lean | Equiv.Perm.set_support_zpow_subset | [
{
"state_after": "α : Type u_1\np q : Perm α\nn : ℤ\nx : α\n⊢ x ∈ {x | ↑(p ^ n) x ≠ x} → x ∈ {x | ↑p x ≠ x}",
"state_before": "α : Type u_1\np q : Perm α\nn : ℤ\n⊢ {x | ↑(p ^ n) x ≠ x} ⊆ {x | ↑p x ≠ x}",
"tactic": "intro x"
},
{
"state_after": "α : Type u_1\np q : Perm α\nn : ℤ\nx : α\n⊢ ¬↑(p ^ ... | [
274,
53
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
270,
1
] |
Mathlib/Topology/Sets/Compacts.lean | TopologicalSpace.Compacts.coe_mk | [] | [
71,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
70,
1
] |
Mathlib/CategoryTheory/Preadditive/OfBiproducts.lean | CategoryTheory.SemiadditiveOfBinaryBiproducts.add_eq_left_addition | [] | [
127,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
125,
1
] |
Mathlib/Topology/Separation.lean | t1Space_TFAE | [
{
"state_after": "case tfae_1_iff_2\nα✝ : Type u\nβ : Type v\ninst✝¹ : TopologicalSpace α✝\nα : Type u\ninst✝ : TopologicalSpace α\n⊢ T1Space α ↔ ∀ (x : α), IsClosed {x}\n\nα✝ : Type u\nβ : Type v\ninst✝¹ : TopologicalSpace α✝\nα : Type u\ninst✝ : TopologicalSpace α\ntfae_1_iff_2 : T1Space α ↔ ∀ (x : α), IsClos... | [
494,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
458,
1
] |
Mathlib/Combinatorics/SimpleGraph/Basic.lean | SimpleGraph.edgeSet_sdiff | [
{
"state_after": "case h.mk.mk\nι : Sort ?u.70847\n𝕜 : Type ?u.70850\nV : Type u\nW : Type v\nX : Type w\nG : SimpleGraph V\nG' : SimpleGraph W\na b c u v w : V\ne : Sym2 V\nG₁ G₂ : SimpleGraph V\nx✝ : Sym2 V\nx y : V\n⊢ Quot.mk Setoid.r (x, y) ∈ edgeSet (G₁ \\ G₂) ↔ Quot.mk Setoid.r (x, y) ∈ edgeSet G₁ \\ edg... | [
537,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
535,
1
] |
Mathlib/Order/Interval.lean | NonemptyInterval.fst_sup | [] | [
308,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
307,
1
] |
Mathlib/Data/Multiset/Lattice.lean | Multiset.inf_zero | [] | [
127,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
126,
1
] |
Mathlib/Data/Matrix/PEquiv.lean | PEquiv.toMatrix_swap | [
{
"state_after": "case a.h\nk : Type ?u.26647\nl : Type ?u.26650\nm : Type ?u.26653\nn : Type u_1\nα : Type v\ninst✝¹ : DecidableEq n\ninst✝ : Ring α\ni j i✝ x✝ : n\n⊢ toMatrix (Equiv.toPEquiv (Equiv.swap i j)) i✝ x✝ =\n (1 - toMatrix (single i i) - toMatrix (single j j) + toMatrix (single i j) + toMatrix (s... | [
157,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
151,
1
] |
Mathlib/Algebra/Order/LatticeGroup.lean | LatticeOrderedCommGroup.sup_sq_eq_mul_mul_abs_div | [
{
"state_after": "no goals",
"state_before": "α : Type u\ninst✝² : Lattice α\ninst✝¹ : CommGroup α\ninst✝ : CovariantClass α α (fun x x_1 => x * x_1) fun x x_1 => x ≤ x_1\na b : α\n⊢ (a ⊔ b) ^ 2 = a * b * abs (b / a)",
"tactic": "rw [← inf_mul_sup a b, ← sup_div_inf_eq_abs_div, div_eq_mul_inv, ← mul_ass... | [
401,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
398,
1
] |
Mathlib/RingTheory/Subring/Basic.lean | Subring.map_iSup | [] | [
1068,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1066,
1
] |
Mathlib/Data/MvPolynomial/CommRing.lean | MvPolynomial.eval₂_neg | [] | [
143,
27
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
142,
1
] |
Mathlib/Topology/Semicontinuous.lean | IsClosed.upperSemicontinuous_indicator | [] | [
760,
64
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
758,
1
] |
Mathlib/Topology/MetricSpace/GromovHausdorffRealized.lean | GromovHausdorff.closed_candidatesB | [
{
"state_after": "X : Type u\nY : Type v\ninst✝⁵ : MetricSpace X\ninst✝⁴ : CompactSpace X\ninst✝³ : Nonempty X\ninst✝² : MetricSpace Y\ninst✝¹ : CompactSpace Y\ninst✝ : Nonempty Y\nf : GromovHausdorff.ProdSpaceFun X Y\nx y z t : X ⊕ Y\nI1 : ∀ (x y : X), IsClosed {f | ↑f (inl x, inl y) = dist x y}\n⊢ IsClosed (G... | [
268,
93
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
242,
9
] |
Std/Data/Int/Lemmas.lean | Int.lt_of_sub_neg | [
{
"state_after": "a b : Int\nh✝ : a - b < 0\nh : a - b + b < 0 + b\n⊢ a < b",
"state_before": "a b : Int\nh : a - b < 0\n⊢ a < b",
"tactic": "have h := Int.add_lt_add_right h b"
},
{
"state_after": "no goals",
"state_before": "a b : Int\nh✝ : a - b < 0\nh : a - b + b < 0 + b\n⊢ a < b",
"... | [
948,
46
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
946,
11
] |
Mathlib/Order/Basic.lean | le_iff_eq_or_lt | [] | [
374,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
373,
1
] |
Mathlib/MeasureTheory/Integral/IntervalIntegral.lean | intervalIntegral.integral_const_mul | [] | [
619,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
617,
1
] |
Mathlib/Order/Filter/Basic.lean | Filter.Tendsto.sup | [] | [
3027,
101
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
3026,
1
] |
Mathlib/MeasureTheory/Function/AEEqFun.lean | MeasureTheory.AEEqFun.induction_on₃ | [] | [
206,
60
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
201,
1
] |
Mathlib/FieldTheory/Subfield.lean | RingHom.eq_of_eqOn_subfield_top | [] | [
886,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
885,
1
] |
Mathlib/LinearAlgebra/Finrank.lean | FiniteDimensional.finrank_eq_card_basis | [] | [
129,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
127,
1
] |
Mathlib/Topology/Algebra/ConstMulAction.lean | isClosedMap_smul_of_ne_zero | [] | [
356,
45
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
355,
1
] |
Mathlib/MeasureTheory/Function/AEEqFun.lean | MeasureTheory.AEEqFun.le_sup_right | [
{
"state_after": "α : Type u_1\nβ : Type u_2\nγ : Type ?u.455830\nδ : Type ?u.455833\ninst✝⁵ : MeasurableSpace α\nμ ν : Measure α\ninst✝⁴ : TopologicalSpace β\ninst✝³ : TopologicalSpace γ\ninst✝² : TopologicalSpace δ\ninst✝¹ : SemilatticeSup β\ninst✝ : ContinuousSup β\nf g : α →ₘ[μ] β\n⊢ ↑g ≤ᵐ[μ] ↑(f ⊔ g)",
... | [
481,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
477,
11
] |
Mathlib/Topology/ContinuousFunction/Bounded.lean | BoundedContinuousFunction.dist_coe_le_dist | [] | [
173,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
172,
1
] |
Mathlib/Topology/DiscreteQuotient.lean | DiscreteQuotient.proj_bot_injective | [] | [
275,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
274,
1
] |
Mathlib/Topology/MetricSpace/Gluing.lean | Metric.glueDist_swap | [
{
"state_after": "no goals",
"state_before": "X : Type u\nY : Type v\nZ : Type w\ninst✝¹ : MetricSpace X\ninst✝ : MetricSpace Y\nΦ✝ : Z → X\nΨ✝ : Z → Y\nε✝ : ℝ\nΦ : Z → X\nΨ : Z → Y\nε : ℝ\nval✝¹ : X\nval✝ : Y\n⊢ glueDist Ψ Φ ε (Sum.swap (Sum.inl val✝¹)) (Sum.swap (Sum.inr val✝)) = glueDist Φ Ψ ε (Sum.inl v... | [
105,
95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
100,
1
] |
Mathlib/Data/Set/Pointwise/ListOfFn.lean | Set.mem_pow | [
{
"state_after": "no goals",
"state_before": "F : Type ?u.11956\nα : Type u_1\nβ : Type ?u.11962\nγ : Type ?u.11965\ninst✝ : Monoid α\ns t : Set α\na✝ : α\nm n✝ : ℕ\na : α\nn : ℕ\n⊢ a ∈ s ^ n ↔ ∃ f, List.prod (List.ofFn fun i => ↑(f i)) = a",
"tactic": "rw [← mem_prod_list_ofFn, List.ofFn_const, List.pr... | [
57,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
55,
1
] |
Mathlib/Data/Nat/Basic.lean | Nat.not_succ_lt_self | [] | [
204,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
203,
1
] |
Mathlib/Data/Set/NAry.lean | Set.image2_image2_right | [
{
"state_after": "case h\nα : Type u_2\nα' : Type ?u.32621\nβ : Type u_4\nβ' : Type ?u.32627\nγ : Type u_5\nγ' : Type ?u.32633\nδ : Type u_3\nδ' : Type ?u.32639\nε : Type u_1\nε' : Type ?u.32645\nζ : Type ?u.32648\nζ' : Type ?u.32651\nν : Type ?u.32654\nf✝ f' : α → β → γ\ng✝ g' : α → β → γ → δ\ns s' : Set α\nt ... | [
270,
49
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
264,
1
] |
Mathlib/MeasureTheory/Measure/MeasureSpace.lean | MeasureTheory.Measure.sum_comm | [
{
"state_after": "case h\nα : Type u_2\nβ : Type ?u.340429\nγ : Type ?u.340432\nδ : Type ?u.340435\nι : Type u_3\nR : Type ?u.340441\nR' : Type ?u.340444\nm0 : MeasurableSpace α\ninst✝¹ : MeasurableSpace β\ninst✝ : MeasurableSpace γ\nμ✝ μ₁ μ₂ μ₃ ν ν' ν₁ ν₂ : Measure α\ns✝ s' t : Set α\nι' : Type u_1\nμ : ι → ι'... | [
2063,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2059,
1
] |
Mathlib/Logic/Equiv/LocalEquiv.lean | LocalEquiv.EqOnSource.eqOn | [] | [
839,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
838,
1
] |
Std/Data/Nat/Gcd.lean | Nat.gcd_pos_of_pos_right | [] | [
95,
45
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
94,
1
] |
Mathlib/Data/Multiset/Lattice.lean | Multiset.sup_cons | [] | [
48,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
47,
1
] |
Mathlib/Analysis/Calculus/FDeriv/Mul.lean | differentiableAt_inverse | [] | [
529,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
528,
1
] |
Mathlib/Topology/Constructions.lean | inducing_const_prod | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nγ : Type u_1\nδ : Type ?u.65761\nε : Type ?u.65764\nζ : Type ?u.65767\ninst✝⁵ : TopologicalSpace α\ninst✝⁴ : TopologicalSpace β\ninst✝³ : TopologicalSpace γ\ninst✝² : TopologicalSpace δ\ninst✝¹ : TopologicalSpace ε\ninst✝ : TopologicalSpa... | [
813,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
811,
1
] |
Mathlib/Combinatorics/SimpleGraph/Subgraph.lean | SimpleGraph.Subgraph.deleteEdges_deleteEdges | [
{
"state_after": "no goals",
"state_before": "ι : Sort ?u.242906\nV : Type u\nW : Type v\nG : SimpleGraph V\nG' : Subgraph G\ns✝ s s' : Set (Sym2 V)\n⊢ deleteEdges (deleteEdges G' s) s' = deleteEdges G' (s ∪ s')",
"tactic": "ext <;> simp [and_assoc, not_or]"
}
] | [
1049,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1047,
1
] |
Mathlib/CategoryTheory/Filtered.lean | CategoryTheory.Functor.ranges_directed | [
{
"state_after": "C : Type u\ninst✝¹ : Category C\ninst✝ : IsCofilteredOrEmpty C\nF : C ⥤ Type u_1\nj : C\nx✝¹ x✝ : (i : C) ×' (i ⟶ j)\ni : C\nij : i ⟶ j\nk : C\nkj : k ⟶ j\nl : C\nli : l ⟶ i\nlk : l ⟶ k\ne : li ≫ ij = lk ≫ kj\n⊢ ∃ z,\n (fun x x_1 => x ⊇ x_1) ((fun f => Set.range (F.map f.snd)) { fst := i, s... | [
608,
98
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
605,
1
] |
Mathlib/Data/MvPolynomial/Basic.lean | MvPolynomial.monomial_left_injective | [] | [
195,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
193,
1
] |
Mathlib/Analysis/Convex/Side.lean | AffineSubspace.wSameSide_lineMap_right | [] | [
349,
39
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
347,
1
] |
Mathlib/Data/MvPolynomial/Supported.lean | MvPolynomial.supported_empty | [
{
"state_after": "no goals",
"state_before": "σ : Type u_1\nτ : Type ?u.127206\nR : Type u\nS : Type v\nr : R\ne : ℕ\nn m : σ\ninst✝ : CommSemiring R\np q : MvPolynomial σ R\ns t : Set σ\n⊢ supported R ∅ = ⊥",
"tactic": "simp [supported_eq_adjoin_X]"
}
] | [
110,
89
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
110,
1
] |
Mathlib/Algebra/Opposites.lean | MulOpposite.op_one | [] | [
251,
6
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250,
1
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Mathlib/LinearAlgebra/Matrix/Charpoly/FiniteField.lean | FiniteField.trace_pow_card | [
{
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Mathlib/Topology/MetricSpace/EMetricSpace.lean | EMetric.cauchySeq_iff_NNReal | [] | [
756,
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754,
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Mathlib/LinearAlgebra/Dimension.lean | rank_submodule_le_one_iff' | [
{
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Mathlib/Data/List/Basic.lean | List.lookmap_id' | [
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Mathlib/RingTheory/Subring/Basic.lean | Subring.mul_mem | [] | [
353,
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Mathlib/Order/Hom/Bounded.lean | BoundedOrderHom.comp_assoc | [] | [
677,
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Mathlib/Topology/SubsetProperties.lean | IsCompact.finite_of_discrete | [
{
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445,
34
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Mathlib/Analysis/Asymptotics/Asymptotics.lean | Asymptotics.isBigO_pi | [
{
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2145,
74
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2142,
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Mathlib/ModelTheory/Semantics.lean | FirstOrder.Language.Term.realize_functions_apply₂ | [
{
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126,
76
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Mathlib/LinearAlgebra/Matrix/ToLin.lean | LinearMap.toMatrix_algebraMap | [
{
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661,
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659,
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Mathlib/Init/Logic.lean | if_congr_prop | [] | [
387,
50
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385,
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Mathlib/RingTheory/DedekindDomain/Ideal.lean | IsDedekindDomainInv.inv_mul_eq_one | [] | [
284,
45
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283,
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Mathlib/Topology/MetricSpace/Basic.lean | Metric.bounded_singleton | [] | [
2415,
90
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2415,
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Mathlib/MeasureTheory/MeasurableSpace.lean | Measurable.eval | [] | [
853,
34
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
851,
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Mathlib/CategoryTheory/EpiMono.lean | CategoryTheory.IsIso.of_mono_retraction | [] | [
193,
68
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191,
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Mathlib/Topology/Homotopy/Basic.lean | ContinuousMap.HomotopicRel.homotopic | [] | [
682,
20
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681,
11
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Mathlib/LinearAlgebra/Finrank.lean | FiniteDimensional.Basis.subset_extend | [] | [
169,
21
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
167,
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Mathlib/Analysis/SpecificLimits/FloorPow.lean | sum_div_nat_floor_pow_sq_le_div_sq | [
{
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357,
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324,
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Mathlib/Data/Subtype.lean | Subtype.restrict_injective | [] | [
169,
23
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167,
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Mathlib/Order/CompleteLattice.lean | Prod.fst_sSup | [] | [
1845,
6
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1844,
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Mathlib/Order/Heyting/Hom.lean | CoheytingHom.toFun_eq_coe_aux | [] | [
394,
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393,
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Mathlib/LinearAlgebra/AffineSpace/FiniteDimensional.lean | collinear_iff_not_affineIndependent_of_ne | [] | [
488,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
485,
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Mathlib/Topology/UniformSpace/UniformConvergence.lean | UniformCauchySeqOn.prod_map | [
{
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530,
60
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519,
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Mathlib/InformationTheory/Hamming.lean | Hamming.nndist_eq_hammingDist | [] | [
453,
6
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451,
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Mathlib/Data/Seq/Seq.lean | Stream'.Seq.ofList_nth | [] | [
455,
6
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454,
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Mathlib/Data/Nat/Factorial/Basic.lean | Nat.zero_ascFactorial | [
{
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{
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243,
54
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
240,
1
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Mathlib/Data/Complex/Basic.lean | Complex.neg_im | [] | [
252,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
251,
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Mathlib/Order/Filter/Basic.lean | Filter.map_comap_le | [] | [
2198,
28
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2197,
1
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Mathlib/Algebra/Order/Floor.lean | Int.floor_mono | [] | [
715,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
714,
1
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Mathlib/RingTheory/FractionalIdeal.lean | FractionalIdeal.eq_zero_iff | [
{
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] | [
420,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
418,
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Mathlib/Analysis/Normed/Group/AddCircle.lean | AddCircle.norm_le_half_period | [
{
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{
"state_after": "case mk\np : ℝ\nx✝ : AddCircle p\nhp : p ≠ 0\nx : ℝ\n⊢ ‖↑x‖ ≤ abs ... | [
136,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
131,
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Mathlib/Data/Set/Ncard.lean | Set.ncard_image_iff | [] | [
266,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
264,
1
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Mathlib/Data/Seq/Computation.lean | Computation.Results.length | [] | [
528,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
527,
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Mathlib/Data/Multiset/Basic.lean | Multiset.ext | [
{
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2508,
25
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2505,
1
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Mathlib/Analysis/Calculus/ContDiff.lean | ContDiffWithinAt.pow | [] | [
1455,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1453,
1
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Mathlib/GroupTheory/Perm/Support.lean | Equiv.Perm.Disjoint.inv_left | [
{
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{
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93,
12
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
90,
1
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Mathlib/Computability/NFA.lean | NFA.evalFrom_append_singleton | [
{
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}
] | [
84,
75
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
82,
1
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Mathlib/LinearAlgebra/Finsupp.lean | Finsupp.lmapDomain_id | [] | [
459,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
458,
1
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Mathlib/Order/Antichain.lean | IsAntichain.image_relIso_iff | [] | [
150,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
149,
1
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Mathlib/Topology/MetricSpace/Basic.lean | Metric.diam_pair | [
{
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}
] | [
2603,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2602,
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Mathlib/Analysis/BoxIntegral/Basic.lean | BoxIntegral.HasIntegral.smul | [
{
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353,
53
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350,
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Mathlib/MeasureTheory/Measure/AEMeasurable.lean | aemeasurable_indicator_iff | [
{
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347,
55
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336,
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Mathlib/LinearAlgebra/Basic.lean | LinearEquiv.conj_id | [
{
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2397,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2395,
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Mathlib/MeasureTheory/Measure/OuterMeasure.lean | MeasureTheory.OuterMeasure.mono' | [] | [
101,
11
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
100,
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Mathlib/Order/Filter/Lift.lean | Filter.lift'_iInf | [
{
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391,
62
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389,
1
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Mathlib/LinearAlgebra/Matrix/Adjugate.lean | Matrix.cramer_zero | [
{
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154,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
149,
1
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Mathlib/GroupTheory/FreeGroup.lean | FreeGroup.Red.Step.not_rev | [
{
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}
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119,
29
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
118,
1
] |
Mathlib/Data/Nat/Pairing.lean | Nat.unpair_left_le | [
{
"state_after": "no goals",
"state_before": "⊢ (unpair 0).fst ≤ 0",
"tactic": "simp"
}
] | [
115,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
113,
1
] |
Mathlib/Algebra/Lie/Basic.lean | LieModuleEquiv.apply_symm_apply | [] | [
1070,
35
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1069,
1
] |
Mathlib/Algebra/Module/LocalizedModule.lean | LocalizedModule.add_comm' | [
{
"state_after": "no goals",
"state_before": "R : Type u\ninst✝² : CommSemiring R\nS : Submonoid R\nM : Type v\ninst✝¹ : AddCommMonoid M\ninst✝ : Module R M\nx y : LocalizedModule S M\nm m' : M\ns s' : { x // x ∈ S }\n⊢ mk m s + mk m' s' = mk m' s' + mk m s",
"tactic": "rw [mk_add_mk, mk_add_mk, add_com... | [
183,
8
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
181,
9
] |
Mathlib/Data/Complex/Module.lean | Complex.imLm_coe | [] | [
278,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
277,
1
] |
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