file_path stringlengths 11 79 | full_name stringlengths 2 100 | traced_tactics list | end list | commit stringclasses 4
values | url stringclasses 4
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Mathlib/Data/Polynomial/RingDivision.lean | Polynomial.roots_prod_X_sub_C | [
{
"state_after": "R : Type u\nS : Type v\nT : Type w\na b : R\nn : ℕ\ninst✝¹ : CommRing R\ninst✝ : IsDomain R\np q : R[X]\ns : Finset R\n⊢ (Multiset.bind s.val fun i => roots (X - ↑C i)) = s.val\n\nR : Type u\nS : Type v\nT : Type w\na b : R\nn : ℕ\ninst✝¹ : CommRing R\ninst✝ : IsDomain R\np q : R[X]\ns : Finse... | [
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63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
732,
1
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Mathlib/Data/Finset/Basic.lean | Finset.lt_iff_ssubset | [] | [
410,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
409,
1
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Mathlib/Topology/Separation.lean | inseparable_eq_eq | [] | [
232,
48
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
231,
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Mathlib/Order/RelClasses.lean | IsTrans.swap | [] | [
80,
40
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Topology/ContinuousFunction/T0Sierpinski.lean | TopologicalSpace.productOfMemOpens_embedding | [] | [
65,
78
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
64,
1
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Mathlib/LinearAlgebra/TensorProduct.lean | TensorProduct.homTensorHomMap_apply | [] | [
858,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
856,
1
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Mathlib/MeasureTheory/Integral/SetToL1.lean | MeasureTheory.L1.SimpleFunc.setToL1SCLM_mono_left' | [] | [
983,
78
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
979,
1
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Mathlib/Algebra/Order/Ring/Defs.lean | lt_mul_self | [] | [
574,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
573,
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Mathlib/Computability/Primrec.lean | Nat.Primrec'.tail | [
{
"state_after": "n : ℕ\nf : Vector ℕ n → ℕ\nhf : Primrec' f\nv : Vector ℕ (Nat.succ n)\n⊢ f (ofFn fun i => Vector.get v (Fin.succ i)) = f (ofFn (Vector.get (Vector.tail v)))",
"state_before": "n : ℕ\nf : Vector ℕ n → ℕ\nhf : Primrec' f\nv : Vector ℕ (Nat.succ n)\n⊢ f (ofFn fun i => Vector.get v (Fin.succ i... | [
1412,
50
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1410,
1
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Mathlib/Analysis/Calculus/FDerivMeasurable.lean | FDerivMeasurableAux.norm_sub_le_of_mem_a | [
{
"state_after": "𝕜 : Type u_1\ninst✝⁴ : NontriviallyNormedField 𝕜\nE : Type u_2\ninst✝³ : NormedAddCommGroup E\ninst✝² : NormedSpace 𝕜 E\nF : Type u_3\ninst✝¹ : NormedAddCommGroup F\ninst✝ : NormedSpace 𝕜 F\nf : E → F\nK : Set (E →L[𝕜] F)\nc : 𝕜\nhc : 1 < ‖c‖\nr ε : ℝ\nhε : 0 < ε\nhr : 0 < r\nx : E\nL₁ L... | [
207,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Data/Sym/Sym2.lean | Sym2.congr_right | [
{
"state_after": "case mp\nα : Type u_1\nβ : Type ?u.4292\nγ : Type ?u.4295\na b c : α\nh : Quotient.mk (Rel.setoid α) (a, b) = Quotient.mk (Rel.setoid α) (a, c)\n⊢ b = c\n\ncase mpr\nα : Type u_1\nβ : Type ?u.4292\nγ : Type ?u.4295\na b c : α\nh : b = c\n⊢ Quotient.mk (Rel.setoid α) (a, b) = Quotient.mk (Rel.s... | [
158,
9
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
154,
1
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Mathlib/Analysis/NormedSpace/LinearIsometry.lean | LinearIsometry.map_ne | [] | [
292,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
291,
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Mathlib/Order/LiminfLimsup.lean | Filter.bliminf_or_le_inf | [] | [
935,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
934,
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Mathlib/Topology/PathConnected.lean | JoinedIn.source_mem | [] | [
828,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/Asymptotics/AsymptoticEquivalent.lean | Asymptotics.isEquivalent_const_iff_tendsto | [
{
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"state_before": "α : Type u_2\nβ : Type u_1\ninst✝ : NormedAddCommGroup β\nu v w : α → β\nl : Filter α\nc : β\nh : c ≠ 0\n⊢ u ... | [
144,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
136,
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Mathlib/Algebra/Divisibility/Units.lean | not_isUnit_of_not_isUnit_dvd | [] | [
144,
32
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
143,
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Mathlib/Topology/ContinuousFunction/Compact.lean | ContinuousMap.continuous_eval | [] | [
168,
95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
167,
1
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Mathlib/Algebra/Lie/Basic.lean | LieModuleHom.ext_iff | [
{
"state_after": "R : Type u\nL : Type v\nM : Type w\nN : Type w₁\nP : Type w₂\ninst✝¹⁴ : CommRing R\ninst✝¹³ : LieRing L\ninst✝¹² : LieAlgebra R L\ninst✝¹¹ : AddCommGroup M\ninst✝¹⁰ : AddCommGroup N\ninst✝⁹ : AddCommGroup P\ninst✝⁸ : Module R M\ninst✝⁷ : Module R N\ninst✝⁶ : Module R P\ninst✝⁵ : LieRingModule ... | [
810,
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] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
807,
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Mathlib/AlgebraicTopology/SimplexCategory.lean | SimplexCategory.epi_iff_surjective | [
{
"state_after": "n m : SimplexCategory\nf : n ⟶ m\n⊢ Epi (skeletalEquivalence.functor.map f) ↔ Function.Surjective ↑(Hom.toOrderHom f)",
"state_before": "n m : SimplexCategory\nf : n ⟶ m\n⊢ Epi f ↔ Function.Surjective ↑(Hom.toOrderHom f)",
"tactic": "rw [← Functor.epi_map_iff_epi skeletalEquivalence.fu... | [
494,
61
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
488,
1
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Mathlib/Data/ZMod/Basic.lean | ZMod.nat_cast_rightInverse | [] | [
201,
20
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
200,
1
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Mathlib/Data/Set/Function.lean | Set.piecewise_singleton | [
{
"state_after": "case h\nα : Type u_1\nβ : Type u_2\nγ : Type ?u.78565\nι : Sort ?u.78568\nπ : α → Type ?u.78573\nδ : α → Sort ?u.78578\ns : Set α\nf✝ g✝ : (i : α) → δ i\ninst✝² : (j : α) → Decidable (j ∈ s)\nx : α\ninst✝¹ : (y : α) → Decidable (y ∈ {x})\ninst✝ : DecidableEq α\nf g : α → β\ny : α\n⊢ piecewise ... | [
1399,
14
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1393,
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] |
Mathlib/Data/Finset/Pointwise.lean | Finset.inv_singleton | [] | [
253,
22
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
252,
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] |
Mathlib/Algebra/Group/Pi.lean | Set.preimage_one | [] | [
50,
25
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
48,
1
] |
Mathlib/RingTheory/PowerSeries/Basic.lean | MvPowerSeries.algebraMap_apply'' | [] | [
1224,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1222,
1
] |
Mathlib/SetTheory/Ordinal/Basic.lean | Ordinal.le_lift_iff | [] | [
823,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
818,
1
] |
Mathlib/Data/Set/Image.lean | Set.eq_preimage_subtype_val_iff | [
{
"state_after": "α : Type u_1\nβ : Type ?u.11858\nγ : Type ?u.11861\nι : Sort ?u.11864\nι' : Sort ?u.11867\nf : α → β\ng : β → γ\np : α → Prop\ns : Set (Subtype p)\nt : Set α\ns_eq : s = Subtype.val ⁻¹' t\nx : α\nh : p x\n⊢ { val := x, property := h } ∈ Subtype.val ⁻¹' t ↔ x ∈ t",
"state_before": "α : Type... | [
172,
51
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
168,
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] |
Mathlib/RingTheory/Derivation/Basic.lean | Derivation.leibniz_pow | [
{
"state_after": "case zero\nR : Type u_3\ninst✝⁵ : CommSemiring R\nA : Type u_2\ninst✝⁴ : CommSemiring A\ninst✝³ : Algebra R A\nM : Type u_1\ninst✝² : AddCommMonoid M\ninst✝¹ : Module A M\ninst✝ : Module R M\nD D1 D2 : Derivation R A M\nr : R\na b : A\n⊢ ↑D (a ^ Nat.zero) = Nat.zero • a ^ (Nat.zero - 1) • ↑D a... | [
166,
72
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
159,
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src/lean/Init/Data/List/Basic.lean | List.cons_append | [] | [
99,
92
] | d5348dfac847a56a4595fb6230fd0708dcb4e7e9 | https://github.com/leanprover/lean4 | [
99,
9
] |
Mathlib/Data/Polynomial/RingDivision.lean | Polynomial.root_or_root_of_root_mul | [] | [
343,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
342,
1
] |
Mathlib/Data/Polynomial/Eval.lean | Polynomial.IsRoot.def | [] | [
490,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
489,
1
] |
Std/Data/Nat/Lemmas.lean | Nat.eq_zero_of_add_eq_zero_left | [] | [
25,
63
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
24,
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] |
Mathlib/Topology/UniformSpace/Completion.lean | UniformSpace.Completion.coe_eq | [] | [
396,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
395,
11
] |
Mathlib/Order/Filter/AtTopBot.lean | Filter.map_atTop_eq_of_gc | [
{
"state_after": "ι : Type ?u.308510\nι' : Type ?u.308513\nα : Type u_1\nβ : Type u_2\nγ : Type ?u.308522\ninst✝¹ : SemilatticeSup α\ninst✝ : SemilatticeSup β\nf : α → β\ng : β → α\nb' : β\nhf : Monotone f\ngc : ∀ (a : α) (b : β), b ≥ b' → (f a ≤ b ↔ a ≤ g b)\nhgi : ∀ (b : β), b ≥ b' → b ≤ f (g b)\n⊢ atTop ≤ ma... | [
1511,
87
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1502,
1
] |
Mathlib/LinearAlgebra/Basis.lean | Basis.repr_unitsSMul | [] | [
1269,
65
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1267,
1
] |
Mathlib/Topology/UniformSpace/UniformEmbedding.lean | uniformEmbedding_inl | [
{
"state_after": "no goals",
"state_before": "α : Type u\nβ : Type v\nγ : Type w\ninst✝² : UniformSpace α\ninst✝¹ : UniformSpace β\ninst✝ : UniformSpace γ\ns : Set (α × α)\nhs : s ∈ 𝓤 α\nx : α × α\nh : x ∈ Prod.map Sum.inl Sum.inl ⁻¹' (Prod.map Sum.inl Sum.inl '' s ∪ range (Prod.map Sum.inr Sum.inr))\n⊢ x ... | [
184,
84
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
181,
1
] |
Mathlib/Topology/Constructions.lean | Inducing.codRestrict | [] | [
1115,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1113,
1
] |
Mathlib/FieldTheory/IsAlgClosed/Basic.lean | IsAlgClosed.exists_eval₂_eq_zero_of_injective | [
{
"state_after": "no goals",
"state_before": "k : Type u\ninst✝² : Field k\nR : Type u_1\ninst✝¹ : Ring R\ninst✝ : IsAlgClosed k\nf : R →+* k\nhf : Function.Injective ↑f\np : R[X]\nhp : degree p ≠ 0\n⊢ degree (map f p) ≠ 0",
"tactic": "rwa [degree_map_eq_of_injective hf]"
},
{
"state_after": "no... | [
113,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
110,
1
] |
Std/Data/Nat/Gcd.lean | Nat.gcd.induction | [] | [
26,
6
] | e68aa8f5fe47aad78987df45f99094afbcb5e936 | https://github.com/leanprover/std4 | [
20,
17
] |
Mathlib/CategoryTheory/Limits/Shapes/BinaryProducts.lean | CategoryTheory.Limits.prod.map_fst | [] | [
718,
15
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
716,
1
] |
Mathlib/Data/Finset/Lattice.lean | Finset.exists_nat_subset_range | [] | [
235,
31
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
234,
1
] |
Mathlib/Topology/Sets/Compacts.lean | TopologicalSpace.PositiveCompacts.map_comp | [] | [
414,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
411,
1
] |
Mathlib/Order/Disjoint.lean | isCompl_bot_top | [] | [
622,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
621,
1
] |
Mathlib/CategoryTheory/Limits/Shapes/Pullbacks.lean | CategoryTheory.Limits.pullbackComparison_comp_fst | [] | [
1450,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1447,
1
] |
Mathlib/Algebra/Associated.lean | Associates.one_or_eq_of_le_of_prime | [
{
"state_after": "α : Type u_1\nβ : Type ?u.335369\nγ : Type ?u.335372\nδ : Type ?u.335375\ninst✝ : CancelCommMonoidWithZero α\np m : Associates α\nhp0 : p ≠ 0\nleft✝ : ¬IsUnit p\nh : ∀ (a b : Associates α), p ∣ a * b → p ∣ a ∨ p ∣ b\nd : Associates α\nr : p = m * d\ndvd_rfl' : p ∣ m * d\n⊢ m = 1 ∨ m = p",
... | [
1136,
92
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1112,
1
] |
Mathlib/CategoryTheory/Subobject/Basic.lean | CategoryTheory.Subobject.representative_coe | [] | [
222,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
221,
1
] |
Mathlib/Algebra/Lie/Subalgebra.lean | LieSubalgebra.mem_inf | [
{
"state_after": "no goals",
"state_before": "R : Type u\nL : Type v\ninst✝⁴ : CommRing R\ninst✝³ : LieRing L\ninst✝² : LieAlgebra R L\nL₂ : Type w\ninst✝¹ : LieRing L₂\ninst✝ : LieAlgebra R L₂\nf : L →ₗ⁅R⁆ L₂\nK K' : LieSubalgebra R L\nK₂ : LieSubalgebra R L₂\nx : L\n⊢ x ∈ K ⊓ K' ↔ x ∈ K ∧ x ∈ K'",
"ta... | [
562,
23
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
560,
1
] |
Mathlib/Probability/ProbabilityMassFunction/Monad.lean | Pmf.support_bindOnSupport | [
{
"state_after": "α : Type u_2\nβ : Type u_1\nγ : Type ?u.86439\np : Pmf α\nf : (a : α) → a ∈ support p → Pmf β\nb : β\n⊢ b ∈ support (bindOnSupport p f) ↔ b ∈ ⋃ (a : α) (h : a ∈ support p), support (f a h)",
"state_before": "α : Type u_2\nβ : Type u_1\nγ : Type ?u.86439\np : Pmf α\nf : (a : α) → a ∈ suppor... | [
238,
66
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
227,
1
] |
Mathlib/Data/Nat/Factors.lean | Nat.eq_prime_pow_of_unique_prime_dvd | [
{
"state_after": "n p : ℕ\nhpos : n ≠ 0\nh : ∀ {d : ℕ}, Prime d → d ∣ n → d = p\nk : ℕ := length (factors n)\n⊢ n = p ^ k",
"state_before": "n p : ℕ\nhpos : n ≠ 0\nh : ∀ {d : ℕ}, Prime d → d ∣ n → d = p\n⊢ n = p ^ length (factors n)",
"tactic": "set k := n.factors.length"
},
{
"state_after": "no... | [
197,
89
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
193,
1
] |
Mathlib/Analysis/NormedSpace/Dual.lean | NormedSpace.polar_univ | [] | [
202,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
200,
1
] |
Mathlib/MeasureTheory/Integral/FundThmCalculus.lean | intervalIntegral.integral_comp_mul_deriv' | [
{
"state_after": "no goals",
"state_before": "ι : Type ?u.1946471\n𝕜 : Type ?u.1946474\nE : Type ?u.1946477\nF : Type ?u.1946480\nA : Type ?u.1946483\ninst✝² : NormedAddCommGroup E\ninst✝¹ : CompleteSpace E\ninst✝ : NormedSpace ℝ E\nf✝¹ : ℝ → E\ng' g✝ φ : ℝ → ℝ\nf✝ f'✝ : ℝ → E\na b : ℝ\nf f' g : ℝ → ℝ\nh :... | [
1492,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1489,
1
] |
Mathlib/Data/Multiset/Sum.lean | Multiset.disjSum_mono_right | [] | [
85,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
83,
1
] |
Mathlib/Data/Finset/PiInduction.lean | Finset.induction_on_pi_min | [] | [
117,
63
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
111,
1
] |
Mathlib/MeasureTheory/MeasurableSpaceDef.lean | Set.Finite.measurableSet_biUnion | [] | [
142,
26
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
140,
1
] |
Mathlib/Topology/CompactOpen.lean | ContinuousMap.continuous_comp | [
{
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Mathlib/Topology/MetricSpace/Basic.lean | Metric.ball_subset_ball' | [] | [
595,
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591,
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Mathlib/Order/JordanHolder.lean | CompositionSeries.top_mem | [] | [
335,
48
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334,
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Mathlib/Topology/UniformSpace/Basic.lean | symmetrize_mem_uniformity | [
{
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538,
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535,
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Mathlib/Data/Real/EReal.lean | EReal.bot_lt_add_iff | [
{
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] | [
654,
35
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653,
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Mathlib/Analysis/NormedSpace/Dual.lean | NormedSpace.polar_ball_subset_closedBall_div | [
{
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249,
79
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240,
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Mathlib/GroupTheory/Subgroup/Basic.lean | Subgroup.subgroupOf_eq_bot | [
{
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1688,
66
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Mathlib/Algebra/Group/WithOne/Basic.lean | WithOne.map_comp | [] | [
130,
46
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
129,
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Mathlib/Data/Sum/Basic.lean | Sum.forall | [] | [
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69
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Mathlib/RingTheory/Derivation/Basic.lean | Derivation.leibniz_of_mul_eq_one | [
{
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405,
51
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Mathlib/Analysis/Calculus/MeanValue.lean | domain_mvt | [
{
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Mathlib/Topology/Maps.lean | Inducing.tendsto_nhds_iff | [
{
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126,
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Mathlib/Topology/MetricSpace/Lipschitz.lean | LipschitzWith.mapsTo_closedBall | [] | [
361,
26
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Mathlib/Data/Finset/Basic.lean | Finset.coe_singleton | [
{
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{
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730,
7
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
728,
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Mathlib/Data/Finset/LocallyFinite.lean | Finset.Ico_union_Ico | [
{
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779,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
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Mathlib/Analysis/NormedSpace/CompactOperator.lean | IsCompactOperator.smul | [] | [
216,
58
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211,
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Mathlib/Topology/Order/Basic.lean | order_separated | [] | [
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56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1209,
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Mathlib/Topology/MetricSpace/Basic.lean | Metric.controlled_of_uniformEmbedding | [] | [
854,
80
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
851,
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Mathlib/LinearAlgebra/AffineSpace/Combination.lean | Finset.affineCombinationSingleWeights_apply_of_ne | [
{
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92
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663,
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Mathlib/Data/Set/Image.lean | Set.preimage_inl_range_inr | [
{
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] | [
931,
44
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
930,
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Mathlib/Algebra/GroupPower/Lemmas.lean | zpow_mono_left | [
{
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383,
43
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381,
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Mathlib/CategoryTheory/Limits/Types.lean | CategoryTheory.Limits.Types.FilteredColimit.rel_of_quot_rel | [
{
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}
] | [
400,
74
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
398,
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Mathlib/Algebra/Category/ModuleCat/Kernels.lean | ModuleCat.range_mkQ_cokernelIsoRangeQuotient_inv | [] | [
137,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
135,
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Mathlib/Topology/Order/Basic.lean | Antitone.map_ciSup_of_continuousAt | [] | [
2836,
9
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2833,
1
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Mathlib/Data/Multiset/LocallyFinite.lean | Multiset.Ioo_eq_zero_iff | [
{
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}
] | [
64,
56
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
63,
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Mathlib/Algebra/Order/Group/Defs.lean | cmp_div_one' | [
{
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}
] | [
1035,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1034,
1
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Mathlib/Combinatorics/SimpleGraph/AdjMatrix.lean | SimpleGraph.mul_adjMatrix_apply | [
{
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"tactic": "simp [mul_appl... | [
236,
67
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
234,
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Mathlib/Topology/MetricSpace/Basic.lean | Metric.exists_isOpen_bounded_image_inter_of_isCompact_of_forall_continuousWithinAt | [
{
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2480,
58
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2460,
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Mathlib/CategoryTheory/Abelian/Basic.lean | CategoryTheory.Abelian.epi_fst_of_isLimit | [
{
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694,
88
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
691,
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Mathlib/Topology/UniformSpace/Basic.lean | ball_inter_left | [] | [
643,
38
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
642,
1
] |
Mathlib/Analysis/InnerProductSpace/GramSchmidtOrtho.lean | gramSchmidt_def'' | [
{
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78,
57
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74,
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Mathlib/Data/Real/ENNReal.lean | ENNReal.iInf_mul_of_ne | [] | [
2448,
95
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
2444,
1
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Mathlib/LinearAlgebra/Basic.lean | LinearMap.coeFn_sum | [] | [
323,
47
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
317,
1
] |
Mathlib/Analysis/Convex/Star.lean | StarConvex.add_left | [
{
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241,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
236,
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Mathlib/MeasureTheory/Function/L1Space.lean | MeasureTheory.HasFiniteIntegral.max_zero | [
{
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379,
73
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377,
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Mathlib/Analysis/Calculus/DiffContOnCl.lean | DiffContOnCl.comp | [] | [
63,
71
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
61,
1
] |
Mathlib/Order/WellFounded.lean | WellFounded.lt_succ | [
{
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"tactic": "rw [WellFounded.succ, dif_pos h]"
},
{
... | [
113,
16
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
110,
11
] |
Mathlib/Analysis/SpecificLimits/Basic.lean | ENNReal.exists_pos_sum_of_countable | [
{
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"state_before": "α : Type ?u.477583\nβ : Type ?u.477586\nι... | [
509,
82
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
504,
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Mathlib/Algebra/Hom/Freiman.lean | FreimanHom.toFreimanHom_coe | [] | [
551,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
549,
1
] |
Mathlib/Data/Sum/Basic.lean | Sum.elim_comp_inl_inr | [] | [
208,
57
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
207,
1
] |
Mathlib/Algebra/Algebra/Spectrum.lean | AlgHom.mem_resolventSet_apply | [
{
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404,
59
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
402,
1
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Mathlib/GroupTheory/Subgroup/Basic.lean | Subgroup.mem_pi | [] | [
1836,
10
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1834,
1
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Mathlib/NumberTheory/Padics/PadicNumbers.lean | Padic.coe_div | [] | [
561,
19
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
560,
1
] |
Mathlib/Analysis/LocallyConvex/BalancedCoreHull.lean | Balanced.balancedHull_subset_of_subset | [
{
"state_after": "𝕜 : Type u_1\nE : Type u_2\nι : Type ?u.4692\ninst✝¹ : SeminormedRing 𝕜\ninst✝ : SMul 𝕜 E\ns t : Set E\nx✝ : E\nht : Balanced 𝕜 t\nh : s ⊆ t\nx : E\nhx : x ∈ balancedHull 𝕜 s\n⊢ x ∈ t",
"state_before": "𝕜 : Type u_1\nE : Type u_2\nι : Type ?u.4692\ninst✝¹ : SeminormedRing 𝕜\ninst✝ :... | [
121,
30
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
117,
1
] |
Mathlib/LinearAlgebra/Alternating.lean | AlternatingMap.coe_smulRight | [] | [
326,
6
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
323,
1
] |
Mathlib/Control/Fold.lean | Traversable.foldMap_map | [
{
"state_after": "no goals",
"state_before": "α β γ : Type u\nt : Type u → Type u\ninst✝² : Traversable t\ninst✝¹ : IsLawfulTraversable t\ninst✝ : Monoid γ\nf : α → β\ng : β → γ\nxs : t α\n⊢ foldMap g (f <$> xs) = foldMap (g ∘ f) xs",
"tactic": "simp only [foldMap, traverse_map, Function.comp]"
}
] | [
353,
101
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
352,
1
] |
Mathlib/Data/MvPolynomial/Basic.lean | MvPolynomial.map_map | [
{
"state_after": "case e_f\nR : Type u\nS₁ : Type v\nS₂ : Type w\nS₃ : Type x\nσ : Type u_1\na a' a₁ a₂ : R\ne : ℕ\nn m : σ\ns : σ →₀ ℕ\ninst✝² : CommSemiring R\ninst✝¹ : CommSemiring S₁\np✝ q : MvPolynomial σ R\nf : R →+* S₁\ninst✝ : CommSemiring S₂\ng : S₁ →+* S₂\np : MvPolynomial σ R\n⊢ RingHom.comp (map g) ... | [
1227,
36
] | 5a919533f110b7d76410134a237ee374f24eaaad | https://github.com/leanprover-community/mathlib4 | [
1220,
1
] |
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