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| Number |
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blocks |
| 33928 |
jsm28 author:jsm28 |
feat(Combinatorics/Tiling/TileSet): indexed families of tiles |
Define the type `TileSet` for indexed families of tiles (in a discrete context), and some associated definitions (including `symmetryGroup`) and API lemmas.
`TileSet` can be used for tilings of the whole space; for tilings of part of the space; for patches of tiles (extracted from a tiling by considering tiles meeting some set of points, or considered on their own without extracting from a tiling); for multiple tilings (covering the space more than once). In particular, the fact that people study multiple tilings provides a clear justification for using indexed families rather than sets of tiles, and basic definitions and API lemmas generally work for all these different uses of `TileSet` (sometimes with weak constraints such as tiles being finite, nonempty and only having finitely many tiles meeting any point of the space).
Definitions for saying e.g. "this `TileSet` is a tiling of the whole space" are to be included in subsequent files in subsequent PRs.
From AperiodicMonotilesLean.
---
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|
t-combinatorics |
460/0 |
Mathlib.lean,Mathlib/Combinatorics/Tiling/TileSet.lean |
2 |
23 |
['Parcly-Taxel', 'b-mehta', 'eric-wieser', 'github-actions', 'jsm28', 'vihdzp'] |
nobody |
135-76115 4 months ago |
261-6823 261 days ago |
261-6544 261 days |
0 |
| 35069 |
A-M-Berns author:A-M-Berns |
feat(Geometry/Polygon): simple polygons and boundary map |
This PR introduces Simple polygons with the predicate `IsSimple`, which captures the idea of a non-self-intersecting boundary, in the file Simple.lean. In the file Boundary.lean, a boundary map from `AddCircle n` is defined. I prove that the range of this map is the boundary and that this map is injective if and only if the polygon is simple. I kept Boundary.lean and Simple.lean separate because future results will include stuff just about the boundary map independent of simplicity (e.g. that it is continuous in the appropriate setting) and stuff just about simple polygons independent of the boundary map (e.g. that for n = 3, IsSimple iff HasNondegenerateVertices.) I used Claude Code to help generate some of the proof material, but I golfed and edited all AI contribution.
- [x] depends on: #34598
---
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new-contributor
t-euclidean-geometry
LLM-generated
|
360/0 |
Mathlib.lean,Mathlib/Geometry/Polygon/Boundary.lean,Mathlib/Geometry/Polygon/Simple.lean,Mathlib/Logic/Equiv/Fin/Rotate.lean |
4 |
30 |
['A-M-Berns', 'eric-wieser', 'github-actions', 'joneugster', 'jsm28', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp', 'wwylele'] |
nobody |
131-76116 4 months ago |
218-15571 218 days ago |
220-49578 220 days |
0 |
| 39427 |
Hagb author:Hagb |
feat(Order/Interval/Finset/Defs): `LocallyFiniteOrder{Bot,Top}` implies `WellFounded{LT,GT}` |
---
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|
t-order |
11/0 |
Mathlib/Order/Interval/Finset/Defs.lean |
1 |
5 |
['Hagb', 'github-actions', 'leanprover-radar', 'mathlib-dependent-issues'] |
nobody |
102-4826 3 months ago |
102-6549 102 days ago |
102-10297 102 days |
0 |
| 35669 |
SnirBroshi author:SnirBroshi |
feat(Mathlib/Data/Finset/Mex): `sInf sᶜ ≤ s.encard` |
---
It's in a separate file because I couldn't find a sensible place with the required imports, not because "mex" is particularly interesting.
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|
t-order |
59/0 |
Mathlib.lean,Mathlib/Data/Finset/Mex.lean |
2 |
14 |
['SnirBroshi', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
92-24176 3 months ago |
92-24722 92 days ago |
96-26897 96 days |
0 |
| 36813 |
AlexeyMilovanov author:AlexeyMilovanov |
feat(Computability.Encoding): add self-delimiting unary and pair encodings |
Adds self-delimiting boolean encodings to `Mathlib.Computability.Encoding`.
**Key changes:**
* **`unaryPrefixEncodingNat`**: A self-delimiting unary `Encoding ℕ Bool`, using the code $1^n0$.
* **`encodingProdBool`**: Builds an `Encoding (α × β) Bool` from boolean encodings of `α` and `β`, by prefixing the length of the first encoded component.
* **`encodingListBool`**: Builds an `Encoding (List α) Bool` from a boolean encoding of `α`, using self-delimiting element encodings.
* **`UnaryPrefix` helpers**: Internal-style helper API for the underlying length-prefixed boolean-list encoding and decoding. |
t-computability
new-contributor
|
98/0 |
Mathlib/Computability/Encoding.lean |
1 |
6 |
['AlexeyMilovanov', 'Komyyy', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
85-22538 2 months ago |
85-22538 85 days ago |
101-64536 101 days |
0 |
| 41429 |
felixpernegger author:felixpernegger |
chore(Combinatorics): remove a `set_option backward.privateInPublic` |
Together with #41410 this removes all but one global `set_option backward.privateInPublic true`
---
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|
t-combinatorics |
8/7 |
Mathlib/Combinatorics/Matroid/Basic.lean,Mathlib/Combinatorics/Matroid/Dual.lean,Mathlib/Combinatorics/Matroid/Loop.lean,Mathlib/Combinatorics/Matroid/Minor/Restrict.lean |
4 |
13 |
['felixpernegger', 'github-actions', 'leanprover-radar', 'mathlib-bors', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
83-33968 2 months ago |
83-34836 83 days ago |
85-34666 85 days |
0 |
| 41629 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Subgraph): `neighborSet` of `coe`/`spanningCoe` |
---
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|
t-combinatorics |
15/3 |
Mathlib/Combinatorics/SimpleGraph/Subgraph.lean |
1 |
1 |
['github-actions'] |
nobody |
81-69051 2 months ago |
81-69620 81 days ago |
81-69341 81 days |
0 |
| 41668 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Decomp): `dropUntil` API to match existing `takeUntil` API |
---
Slightly more complicated theorems than usual "API" though.
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|
t-combinatorics |
56/9 |
Mathlib/Combinatorics/SimpleGraph/Walk/Decomp.lean |
1 |
1 |
['github-actions'] |
nobody |
79-65678 2 months ago |
79-66246 79 days ago |
80-70257 80 days |
0 |
| 41722 |
SnirBroshi author:SnirBroshi |
feat(SimpleGraph/Connectivity/Subgraph): `mapToSubgraph` API |
---
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|
t-combinatorics |
36/0 |
Mathlib/Combinatorics/SimpleGraph/Connectivity/Subgraph.lean |
1 |
1 |
['github-actions'] |
nobody |
79-51591 2 months ago |
79-52197 79 days ago |
79-51918 79 days |
1 |
| 41793 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph): `fromEdgeSet edgeSet` for subgraphs and walks |
`fromEdgeSet G'.edgeSet = G'.spanningCoe` for a subgraph `G'`
`fromEdgeSet p.edgeSet = p.toSubgraph.spanningCoe` for a walk `p`
---
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|
t-combinatorics |
16/2 |
Mathlib/Combinatorics/SimpleGraph/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Subgraph.lean,Mathlib/Combinatorics/SimpleGraph/Subgraph.lean |
3 |
1 |
['github-actions'] |
nobody |
78-5945 2 months ago |
78-6522 78 days ago |
78-6243 78 days |
0 |
| 36719 |
NoneMore author:NoneMore |
feat(ModelTheory): add `PartialType` for first-order theories |
This PR adds the definitions of partial types over theories and over parameter sets, and proves several equivalent characterizations.
---
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- [x] depends on: #36667
[](https://gitpod.io/from-referrer/)
|
t-logic
new-contributor
|
432/17 |
Mathlib.lean,Mathlib/ModelTheory/PartialTypes.lean,Mathlib/ModelTheory/Semantics.lean |
3 |
7 |
['NoneMore', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
77-73837 2 months ago |
77-74358 77 days ago |
85-57040 85 days |
0 |
| 41821 |
Timeroot author:Timeroot |
chore(Order/Basic): add grind _=_ to Subtype.coe_lt_coe, coe_le_coe |
Add grind annotations to Subtype.coe_le_coe and Subtype.coe_lt_coe.
As noted in [this zulip thread](https://leanprover.zulipchat.com/#narrow/channel/113488-general/topic/grind.20failures/near/610812085), grind was failing to solve some fairly simple goals, and I think these are generally good annotations to have. (I think they will usually fire usefully.)
---
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[](https://gitpod.io/from-referrer/)
|
t-order |
2/2 |
Mathlib/Order/Basic.lean |
1 |
4 |
['Timeroot', 'github-actions', 'leanprover-radar'] |
nobody |
77-22050 2 months ago |
77-27453 77 days ago |
77-27174 77 days |
0 |
| 41570 |
kim-em author:kim-em |
doc: fix and add docstrings in RingTheory/Invariant/Galois |
This PR fixes the docstring of `Ideal.Quotient.normal`, which was copy-pasted from `Ideal.Quotient.exists_algHom_fixedPoint_quotient_under` and did not describe the statement `Normal (A ⧸ P) (B ⧸ Q)`, and add docstrings to `Ideal.IsFractionRing.normal` and `Ideal.IsFractionRing.finite_of_isInvariant`, matching the phrasing of the sibling results in `RingTheory/Invariant/Basic.lean`.
Follow-up to [#40247 (feat(RingTheory/Invariant/Basic): generalize `Ideal.Quotient.normal` to `IsFractionRing`)](https://github.com/leanprover-community/mathlib4/pull/40247).
🤖 Prepared with Claude Code
|
t-ring-theory
LLM-generated
|
5/3 |
Mathlib/RingTheory/Invariant/Galois.lean |
1 |
1 |
['github-actions'] |
nobody |
75-22487 2 months ago |
75-22514 75 days ago |
75-22235 75 days |
0 |
| 41583 |
kim-em author:kim-em |
chore: move simple_obj into Functor namespace, golf proofs, tidy docstring |
This PR moves `CategoryTheory.simple_obj` and `CategoryTheory.simple_obj_iff` into the `Functor` namespace (matching their sibling `Functor.simple_of_simple_obj` and enabling dot notation), golf `Functor.simple_obj` and the forward direction of `isSimpleModule_iff_eq_zero_or_injective` via the existing `LinearMap.injective_or_eq_zero`, remove unused `variable` binders in `RingTheory/SimpleRing/DivisionRing.lean`, and fix inverted heading levels and an "an unique" typo in that file's module docstring. The one call site of the renamed lemmas is updated; no deprecated aliases are added since the declarations merged a week ago.
Follow-up to [#41233 (feat(SimpleRing/DivisionRing): simple module is preserved by ModuleCat equivs)](https://github.com/leanprover-community/mathlib4/pull/41233).
🤖 Prepared with Claude Code
|
LLM-generated |
16/19 |
Mathlib/CategoryTheory/Simple.lean,Mathlib/RingTheory/SimpleRing/DivisionRing.lean |
2 |
1 |
['github-actions'] |
nobody |
75-21991 2 months ago |
75-21991 75 days ago |
75-21712 75 days |
0 |
| 41934 |
NickKobs author:NickKobs |
feat(Order/Nucleus): a nucleus on a Boolean algebra is closed |
Adds `Mathlib/Order/Nucleus/Boolean.lean` — the Boolean specialization of the nucleus API:
```lean
theorem Nucleus.apply_eq_sup_apply_bot [BooleanAlgebra X] (n : Nucleus X) (a : X) :
n a = a ⊔ n ⊥
theorem Nucleus.isClosed_of_booleanAlgebra [BooleanAlgebra X] (n : Nucleus X) :
⇑n = fun a => a ⊔ n ⊥
theorem Nucleus.eq_of_apply_bot_eq [BooleanAlgebra X] {m n : Nucleus X} (h : m ⊥ = n ⊥) :
m = n
```
**Why.** `Mathlib.Order.Nucleus` provides the frame / Heyting-algebra structure of `Nucleus X`, the closure-operator view (`toClosureOperator`), and the pointwise `le_apply` / `idempotent` / `map_inf` API, but no Boolean specialization. On a Boolean algebra every nucleus is *closed* — completely determined by its value at `⊥` — which is the pointwise algebraic core of the classical fact that the assembly `N(L)` is Boolean iff `L` is (Beazer–Macnab; Simmons; Johnstone, *Stone Spaces*, II.2). It is the natural companion to the existing frame structure and a common building block in point-free topology.
**Proof.** `n a = n a ⊓ (a ⊔ aᶜ) = (n a ⊓ a) ⊔ (n a ⊓ aᶜ)`; the left join-and is `a` (inflationarity), the right is `≤ n a ⊓ n aᶜ = n (a ⊓ aᶜ) = n ⊥` (inflationarity of `aᶜ` + `map_inf`). The reverse inequality is inflationarity plus monotonicity applied to `⊥ ≤ a`. No completeness is needed — the statement is pointwise, so `[BooleanAlgebra X]` (not a complete Boolean algebra) suffices.
**References.**
* R. Beazer, D. S. Macnab, *Modal extensions of Heyting algebras*.
* H. Simmons, *A framework for topology*, Logic Colloquium '77.
* P. T. Johnstone, *Stone Spaces*, CUP (1982), II.2.
**Provenance.** The theorem was first mechanized (Mathlib-free, over a finite Boolean frame) in the BETTI/Araksha refusal-algebra work; this PR is the generalization to an arbitrary `BooleanAlgebra` against Mathlib's own `Nucleus` API. The result is classical open mathematics, cited above. An earlier revision of the file was compiled clean against master `c81c5cbb` (Lean `v4.33.0-rc1`); this revision adapts the header to the module system (`module` / `public import` / `@[expose] public section`).
|
t-order
new-contributor
LLM-generated
|
71/0 |
Mathlib.lean,Mathlib/Order/Nucleus/Boolean.lean |
2 |
5 |
['felixpernegger', 'github-actions'] |
nobody |
73-76873 2 months ago |
74-4216 74 days ago |
74-3937 74 days |
0 |
| 42046 |
LegaSage author:LegaSage |
feat(Polynomial): add Wronskian linear dependence lemmas |
This extends the polynomial Wronskian API of Baek and Lee from the existing coprime case to arbitrary polynomials over a characteristic-zero field.
It adds:
* an explicit nontrivial scalar relation for any pair with zero Wronskian, including zero-polynomial edge cases;
* scalar-multiple corollaries when either polynomial is nonzero;
* the weighted derivative corollary that solutions of `a * f' - n * a' * f = 0` are scalar multiples of `a ^ n` when `a ≠ 0`.
The proof factors out the polynomial gcd and applies the existing `IsCoprime.wronskian_eq_zero_iff` theorem. This PR makes no novelty claim; it packages standard consequences of the existing Baek–Lee coprime Wronskian API.
-------
The implementation was prepared with assistance from OpenAI Codex and reviewed and submitted by LegaSage.
|
t-ring-theory
new-contributor
large-import
LLM-generated
|
96/1 |
Mathlib/RingTheory/Polynomial/Wronskian.lean |
1 |
2 |
['github-actions'] |
nobody |
69-36832 2 months ago |
69-74802 69 days ago |
69-74523 69 days |
0 |
| 42047 |
LegaSage author:LegaSage |
feat(RingTheory): add locally nilpotent derivations |
This introduces `Derivation.IsLocallyNilpotent` and basic iteration lemmas for locally nilpotent derivations. The main result is the method-style theorem `Derivation.IsLocallyNilpotent.apply_eq_zero_of_dvd`: over a characteristic-zero domain, if `f ∣ D f` for a locally nilpotent derivation `D`, then `D f = 0`.
The proof uses the iterated Leibniz rule and the top nonvanishing iterates of the two factors.
-----
The implementation and PR text were prepared with assistance from OpenAI Codex. |
t-ring-theory
new-contributor
LLM-generated
|
167/0 |
Mathlib.lean,Mathlib/RingTheory/Derivation/LocallyNilpotent.lean |
2 |
2 |
['github-actions'] |
nobody |
69-36813 2 months ago |
69-74802 69 days ago |
69-74523 69 days |
0 |
| 42082 |
attilavjda author:attilavjda |
feat(FieldTheory): reduce Frobenius powers modulo the extension degree |
Adds ring-hom and pointwise lemmas reducing powers of Frobenius modulo the extension degree of a finite field.
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
12/0 |
Mathlib/FieldTheory/Finite/Basic.lean |
1 |
5 |
['attilavjda', 'felixpernegger', 'github-actions'] |
nobody |
68-26627 2 months ago |
68-27411 68 days ago |
68-35603 68 days |
0 |
| 42140 |
mcdoll author:mcdoll |
feat(LinearAlgebra): use `IsApply` for `AlternatingMap` |
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
56/52 |
Mathlib/LinearAlgebra/Alternating/Basic.lean,Mathlib/LinearAlgebra/Alternating/DomCoprod.lean,Mathlib/LinearAlgebra/Determinant.lean,Mathlib/LinearAlgebra/Orientation.lean,Mathlib/MeasureTheory/Measure/Lebesgue/EqHaar.lean |
5 |
3 |
['github-actions', 'mcdoll'] |
nobody |
65-79762 2 months ago |
65-79762 65 days ago |
65-79483 65 days |
0 |
| 42153 |
Whysoserioushah author:Whysoserioushah |
feat(LinearAlgebra/Projectivization/PSL): the general case of PSL |
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[](https://gitpod.io/from-referrer/)
|
t-group-theory
LLM-generated
|
328/20 |
Mathlib.lean,Mathlib/GroupTheory/Subgroup/Center.lean,Mathlib/LinearAlgebra/Matrix/SpecialLinearGroup.lean,Mathlib/LinearAlgebra/Projectivization/Action.lean,Mathlib/LinearAlgebra/Projectivization/PSL/PSL2.lean,Mathlib/LinearAlgebra/Projectivization/PSL/PSLn.lean,Mathlib/LinearAlgebra/Projectivization/PSL/Stabilizer.lean |
7 |
3 |
['github-actions', 'mathlib-bors'] |
nobody |
65-67569 2 months ago |
66-17651 66 days ago |
66-17395 66 days |
0 |
| 42226 |
espottesmith author:espottesmith |
feat(Combinatorics/Hypergraph): add restriction `x ≠ y` to hypergraph vertex and edge adjacency |
---
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This introduces a small change to the definitions of adjacency and edge-adjacency for undirected hypergraphs, based on a conversation with @Jun2M and @b-mehta in [#28613](https://github.com/leanprover-community/mathlib4/pull/28613).
Previously, any two vertices (edges) `x` and `y` could be adjacent, provided that there was an edge in the edge set containing both of them (there was a vertex contained in both of them). Now, we add the restriction that `x` is not equal to `y`.
This should allow `SimpleGraph` to be a clean specialization of `Hypergraph` and to ease the eventual implementation of walks.
This PR has no dependencies, but see also [42164](https://github.com/leanprover-community/mathlib4/pull/42162), @Jun2M's implementation of `HyperGraphLike` and formalization that `Hypergraph`s are `HyperGraphLike`, which includes this restriction on `Adj`.
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
4/4 |
Mathlib/Combinatorics/Hypergraph/Basic.lean |
1 |
3 |
['github-actions'] |
nobody |
64-49262 2 months ago |
64-49828 64 days ago |
64-49549 64 days |
0 |
| 42223 |
cameronfreer author:cameronfreer |
feat(Computability/Reduce): the halting problem is many-one complete |
`Mathlib/Computability/Halting.lean` proves that the halting problem is recursively enumerable (`ComputablePred.halting_problem_re`) and not computable (`ComputablePred.halting_problem`), but not that it is complete: there is no `REPred R → R ≤₀ K`, and neither `Halting.lean` nor `RE.lean` mentions `≤₀`.
This PR adds three results:
```lean
theorem REPred.manyOneReducible_halting_problem {R : ℕ → Prop} (h : REPred R) (n : ℕ) :
R ≤₀ fun c : Code => (Code.eval c n).Dom
theorem halting_problem_manyOneEquiv_halting_problem₂ (n : ℕ) :
ManyOneEquiv (fun c : Code => (Code.eval c n).Dom)
(fun p : Code × ℕ => (Code.eval p.1 p.2).Dom)
theorem REPred.manyOneReducible_halting_problem₂ {R : ℕ → Prop} (h : REPred R) :
R ≤₀ fun p : Code × ℕ => (Code.eval p.1 p.2).Dom
```
(I've stated the results in `Reduce.lean` rather than alongside the other halting-problem results because `≤₀` is defined here, and `Reduce` imports `Halting` rather than the other way around.)
🤖 These proofs were written with the assistance of Claude Opus 5 high and reviewed by GPT Sol 5.6 xhigh.
|
t-computability
new-contributor
LLM-generated
|
41/0 |
Mathlib/Computability/Reduce.lean |
1 |
3 |
['cameronfreer', 'github-actions'] |
nobody |
63-25951 2 months ago |
64-53759 64 days ago |
64-53480 64 days |
0 |
| 42189 |
cameronfreer author:cameronfreer |
feat(ModelTheory/Basic): add characterization of languages with countably many symbols |
`Language.Countable.countable_functions` currently projects `Countable L.Symbols` onto the function symbols, but there is no counterpart for relations. This PR adds the missing instance; in doing so it relates the two ways that Mathlib already expresses "countable language": the bundled `Language.card ≤ ℵ₀` and the unbundled `Countable (Σ l, L.Functions l)` / `Countable (Σ l, L.Relations l)` hypotheses that model-theoretic statements tend to carry separately.
* `Countable.countable_relations`, `countable_symbols_iff`, and `card_le_aleph0_iff_countable` connect the bundled and unbundled formulations of symbol countability.
* `Countable.countable_sum`, `Countable.countable_constantsOn`, and `Countable.countable_withConstants` centralize countability instances for language constructors and remove the corresponding local instances from `Encoding.lean`.
## Motivation
Following review feedback from @NoneMore, this PR now also simplifies existing Mathlib code: generic countability instances for `Language.sum`, `constantsOn`, and `withConstants` live beside those constructors, so `Encoding.lean` no longer needs its own cardinal-arithmetic proofs for them.
The broader motivation comes from projects in infinitary model theory that build on Mathlib, in which one typically needs to carry around a hypothesis about countability of the set of symbols.
Specifically, in [cameronfreer/infinitary-logic](https://github.com/cameronfreer/infinitary-logic) the two sorts are carried unbundled and independently throughout; there are roughly 180 occurrences of the relation-symbol hypothesis and 24 of the function-symbol one. Here are a few examples:
* [`Methods/Henkin/ModelExistence.lean#L60`](https://github.com/cameronfreer/infinitary-logic/blob/1a478e80794080a536931c029281bb65266b3171/InfinitaryLogic/Methods/Henkin/ModelExistence.lean#L60): model existence, carrying both hypotheses side by side;
* [`Admissible/Compactness.lean#L90`](https://github.com/cameronfreer/infinitary-logic/blob/1a478e80794080a536931c029281bb65266b3171/InfinitaryLogic/Admissible/Compactness.lean#L90): Barwise completeness, likewise;
* [`Descriptive/Polish.lean#L46`](https://github.com/cameronfreer/infinitary-logic/blob/1a478e80794080a536931c029281bb65266b3171/InfinitaryLogic/Descriptive/Polish.lean#L46): a section variable assuming only the relation symbols are countable, which is where one notices the missing companion instance;
* [`Methods/LopezEscobar/CodeClass.lean#L29`](https://github.com/cameronfreer/infinitary-logic/blob/1a478e80794080a536931c029281bb65266b3171/InfinitaryLogic/Methods/LopezEscobar/CodeClass.lean#L29): a custom `Countable (Σ n, L.Functions n)` instance for relational languages, which is an example of the bookkeeping that arises from the two sorts not being related by a single lemma.
(Note that the `countable_functions` and `countable_relations` instances only project *out of* `Countable L.Symbols` into a summand; the converse direction is stated as a theorem rather than an instance, so there is no risk of an instance cycle.)
🤖 These proofs were written with the assistance of Claude Opus 5 high and reviewed by GPT Sol 5.6 xhigh.
|
t-logic
new-contributor
LLM-generated
|
33/12 |
Mathlib/ModelTheory/Basic.lean,Mathlib/ModelTheory/Encoding.lean,Mathlib/ModelTheory/LanguageMap.lean |
3 |
5 |
['NoneMore', 'cameronfreer', 'github-actions'] |
nobody |
63-25925 2 months ago |
64-52697 64 days ago |
64-55626 64 days |
0 |
| 42203 |
cameronfreer author:cameronfreer |
feat(Algebra/MvPolynomial): compact only the right summand of a sum of variables |
Currently `exists_fin_rename` reindexes the entire variable type along an injection `Fin n → σ`. At `σ ⊕ τ` this renumbers the left-hand variables together with the right-hand ones, so it cannot be used when the left summand carries meaning that has to be preserved.
This PR adds two variants that leave the left summand alone, mirroring the existing `exists_finset_rename` / `exists_fin_rename` pair:
```lean
theorem exists_finset_right_rename (p : MvPolynomial (σ ⊕ τ) R) :
∃ (t : Finset τ) (q : MvPolynomial (σ ⊕ { x // x ∈ t }) R),
p = rename (Sum.map id (↑)) q
theorem exists_fin_right_rename (p : MvPolynomial (σ ⊕ τ) R) :
∃ (n : ℕ) (f : Fin n → τ) (_hf : Injective f) (q : MvPolynomial (σ ⊕ Fin n) R),
p = rename (Sum.map id f) q
```
The first of these factors `exists_finset_rename` through `Finset.toRight`: rename along the map that fixes the left-hand variables and sends each right-hand variable of the finset into `s.toRight`.
The second one then enumerates that right-hand finset with `Fintype.equivFin`, the same way that `exists_fin_rename` does.
Motivation: a Diophantine relation is presented as a polynomial in input variables along with existentially quantified witness variables, and the normal form wants inputs indexed by `Fin n` and witnesses compacted to `Fin m`. Only the witnesses may be reindexed; renumbering the inputs changes the relation being represented. This comes up in work I've been exploring towards Hilbert's tenth problem (the TODO in `Mathlib.NumberTheory.Dioph`), though the statement is independent of that.
🤖 These proofs were written with the assistance of Claude Opus 5 high and reviewed by GPT Sol 5.6 xhigh.
|
t-algebra
new-contributor
LLM-generated
label:t-algebra$ |
41/0 |
Mathlib/Algebra/MvPolynomial/Rename.lean |
1 |
3 |
['cameronfreer', 'github-actions'] |
nobody |
63-25925 2 months ago |
65-3328 65 days ago |
65-3873 65 days |
0 |
| 42178 |
cameronfreer author:cameronfreer |
feat(Computability/Primrec/List): add theorems showing that List.all, List.any and List.sum are primitive recursive |
Add the parameterized `list_all`, `list_any` and natural-number `list_sum`, in the style of the existing `list_map`, `list_foldr` and `list_findIdx`.
Mathlib already has a parameterized core, but no direct lemmas for these standard list operations, so downstream developments tend to reconstruct them from `list_foldr` at each use site. In the course of writing [cameronfreer/computable-analysis](https://github.com/cameronfreer/computable-analysis) I ended up needing this in three places, all of which can now make use of the results here instead (see [a6898b5](https://github.com/cameronfreer/computable-analysis/commit/a6898b5), in particular `Weihrauch/Principles/Limit.lean:117`, `TypeTwo/PrefixTable.lean:334,351,369`, and `Measure/DisintegrateLower.lean:877,902`).
:robot: These proofs were written with the assistance of Claude Opus 5 high and reviewed by GPT Sol 5.6 xhigh. |
t-computability
new-contributor
LLM-generated
|
21/1 |
Mathlib/Computability/Primrec/List.lean |
1 |
4 |
['cameronfreer', 'github-actions'] |
nobody |
63-25918 2 months ago |
65-45843 65 days ago |
65-45564 65 days |
0 |
| 42113 |
LAC1213 author:LAC1213 |
feat(RingTheory/Noetherian): injective modules over a Noetherian ring… |
… surject onto localizations by powers of an element. [Hartshorne III.3.3]
Disclaimer: I used Claude to help me find the names of useful lemmas and definitions and explain lean errors to me.
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|
t-ring-theory
new-contributor
LLM-generated
|
114/0 |
Mathlib.lean,Mathlib/Algebra/Module/Torsion/Basic.lean,Mathlib/RingTheory/Noetherian/InjectiveModule.lean |
3 |
42 |
['LAC1213', 'NoahW314', 'github-actions', 'robin-carlier'] |
nobody |
60-81989 1 month ago |
66-30178 66 days ago |
66-54627 66 days |
0 |
| 42358 |
homeowmorphism author:homeowmorphism |
doc(RingTheory/Extension/Generators): remove stale TODO and clarify docstring |
Update the docstring in light of #25085 refactoring the bundled type into an unbundled type. A fix to the docstring has been done in #39705.
The TODO still to be removed and the docstring is clarified a bit to be clear that the type iota is now unbundled.
---
Use of AI: Claude Fable was used to help me understand this API in light of me working on a similar API for `Group.Presentation` (#41936). It came to my attention that the docstring was outdated and I had Claude fetch the PR history.
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|
t-ring-theory |
7/17 |
Mathlib/RingTheory/Extension/Generators.lean |
1 |
2 |
['github-actions'] |
nobody |
60-77688 1 month ago |
60-78384 60 days ago |
60-78105 60 days |
0 |
| 42225 |
matt-w-horn author:matt-w-horn |
feat(Order): Knaster–Tarski fixed points on an interval |
`lfpIcc f a b` and `gfpIcc f a b`: least and greatest fixed points of `f` on `Set.Icc a b` in a conditionally complete lattice, for `f` monotone on the interval and mapping it into itself. Also interval membership, endpoint-iterate bounds, and monotonicity in `f`.
`OrderHom.lfp` gives this through the complete-lattice instance on the subtype, but wants a `Fact (a ≤ b)` and returns subtype elements. These take `MonotoneOn` and `MapsTo` directly and stay in `α`. Bridge lemmas between the two are a follow-up.
Used on intervals of ℝ in Overload, a sorry-free Lean library on retry and overload dynamics: https://github.com/matt-w-horn/overload/tree/main/Overload
Claude Fable wrote the Lean from a spec I gave it. I reviewed and tested it myself, including adversarial tests and the suites in the library above, and did the same for its dependencies.
Assisted-by: Claude Fable 5 |
t-order
new-contributor
LLM-generated
|
168/0 |
Mathlib.lean,Mathlib/Order/FixedPointsIcc.lean |
2 |
7 |
['github-actions', 'matt-w-horn', 'wwylele'] |
nobody |
58-66385 1 month ago |
59-75971 59 days ago |
59-75692 59 days |
0 |
| 42513 |
plp127 author:plp127 |
feat(ModelTheory): typeclass for theory to have nonempty models |
We add a typeclass for a theory to have nonempty models. We provide instances for `nonemptyTheory`, `infiniteTheory`, and `completeTheory`.
---
- [x] depends on: #42508
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|
t-logic |
51/0 |
Mathlib/ModelTheory/Algebra/Ring/Basic.lean,Mathlib/ModelTheory/Semantics.lean |
2 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
55-35155 1 month ago |
55-42634 55 days ago |
55-44905 55 days |
1 |
| 42541 |
NoahW314 author:NoahW314 |
feat: add `CharZero`/`CharP` instances on `OrderDual` and `Lex` |
---
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|
t-algebra
large-import
label:t-algebra$ |
11/1 |
Mathlib/Algebra/Order/Ring/Synonym.lean,Mathlib/LinearAlgebra/Eigenspace/Basic.lean |
2 |
1 |
['github-actions'] |
nobody |
55-17629 1 month ago |
55-20049 55 days ago |
55-21528 55 days |
0 |
| 42538 |
NoahW314 author:NoahW314 |
feat: add Semilattice lemmas for `IsBotOneClass` |
These lemmas are analogous to the existing lemmas for `LinearOrder` + `IsBotOneClass`. The bot versions for Semilattices and LinearOrder also exist already.
---
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|
t-algebra label:t-algebra$ |
29/4 |
Mathlib/Algebra/Order/IsBotOne.lean |
1 |
1 |
['github-actions'] |
nobody |
55-16250 1 month ago |
55-19671 55 days ago |
55-22464 55 days |
0 |
| 42314 |
sfingali author:sfingali |
feat(RingTheory): continuous valuations |
### Summary
Defines continuous valuations on topological rings: a valuation `v : A → Γ₀`
whose underlying function is continuous for the order topology on `Γ₀`
(Wedhorn, *Adic Spaces*, arXiv:1910.05934, Def. 7.7 and Rem. 7.8(1), p. 58).
* `ContinuousValuationClass` — the class of continuous valuations: a
`ValuationClass` whose functions are continuous.
* `ContinuousValuation` — a bundled continuous valuation.
* `ContinuousValuation.isOpen_lt` — the primary definition of Wedhorn,
Def. 7.7: `{a | v a < γ}` is open for every `γ`.
This is the second step of an adic/perfectoid pipeline (Huber rings → Huber
pairs → continuous valuations → Spa → perfectoid → tilting); #42312 defines
Huber rings. The subspace `Cont(A) ⊆ Spv(A)` of continuous valuations
(Wedhorn, p. 58) will build on `ValuationSpectrum` once #38009 lands — this
PR provides the element-level notion, which is independent of the spectrum
topology.
### References
* T. Wedhorn, *Adic Spaces*, arXiv:1910.05934, Def. 7.7, Rem. 7.8 (p. 58).
|
t-ring-theory
new-contributor
|
99/0 |
Mathlib.lean,Mathlib/RingTheory/Valuation/ContinuousValuation.lean |
2 |
7 |
['github-actions', 'sfingali', 'wwylele'] |
nobody |
54-4479 1 month ago |
61-81700 61 days ago |
61-81967 61 days |
0 |
| 40741 |
AntoineduFresne author:AntoineduFresne |
feat(order): dilworth's and mirsky's theorems for finite orders |
I add Dilworth's theorem and its order dual, Mirsky's theorem, for finite subsets of a partial order, together with the order-theoretic lemmas they rest on.
A prior external formalization by Vlad Tsyrklevich is linked from `1000.yaml`; this is an independent `Finset`-based development using Galvin's proof, and I agreed the `1000.yaml` update with him.
I split the min-max content, as for Hall's marriage theorem, into a weak-duality inequality and a strong-duality existence of a matching pair, so I never define an extremal quantity over families of sets (no `Finset.min'` / `Finset.max'`):
- `dilworth` / `mirsky` — an antichain and a chain cover (resp. a chain and an antichain cover) of equal size;
- `antichain_le_chain_cover` / `chain_le_antichain_cover` — the weak-duality inequalities, for an arbitrary relation;
- `dilworth_partition` / `mirsky_partition` — the same with a pairwise-disjoint partition.
For Dilworth I use Galvin's induction (gluing step `chainCover_glue`); I avoid the König /
bipartite-matching route since König isn't in Mathlib yet (at least last time I checked). I prove Mirsky directly (peeling off minimal elements) rather than via `OrderDual`, since the direct induction seems simpler to me and the two proofs already share their foundations (the closure lemmas and the injective weak dualities).
Internally I work with an injection `f : α → Finset α` on the antichain rather than with the
`Finset (Finset α)` cover directly, so distinctness of the chains comes from the antichain property instead of a separate bookkeeping.
## Questions I'd like input on
1. Explicit min-max? I give weak duality plus a matching pair, from which "largest antichain = smallest chain cover" follows; I do not state that equality as a single theorem (doing so would, I think, mean defining the extremal quantities I wanted to avoid). Would you also like an explicit min-max statement?
2. Two layers of weak duality. I expose it twice: an injective form (`IsAntichain.exists_injOn_mem_chains`, over an arbitrary relation and an arbitrary index type, no finiteness) and a `Finset` cardinality form (`antichain_le_chain_cover`), the latter a one-line specialization of the former. I'm not sure whether exposing both is right, or whether one of them should be canonical. And is there appetite to push the general core to an `ℕ∞` / infinite version, or is the finite form the right scope here?
3. `[DecidableEq α]` on the main theorems. It comes only from writing the cover as
`s = 𝒞.biUnion id` (`Finset.biUnion` needs it); a membership-form coverage condition such as `∀ x, x ∈ s ↔ ∃ C ∈ 𝒞, x ∈ C` would drop the assumption, though it seems to me a bit less readable. Which do you prefer? (I think the injective-form weak dualities assume neither order, finiteness, nor `DecidableEq`.)
4. Naming. I use `C` / `A` for a chain / antichain and `𝒞` / `𝒜` for a chain / antichain cover (for hopefully obvious reason). Happy to change these if you would prefer something else.
## Open questions
- File placement (`Mathlib/Order/Dilworth.lean`?), and whether the general lemmas (the injective transversal and the weak dualities) should live in `Mathlib/Order/Antichain.lean` rather than in a new file.
The maximal-antichain closure lemma that was originally here has been split out into #42590.
Zulip: https://leanprover.zulipchat.com/#narrow/channel/113489-new-members/topic/Antoine.20du.20Fresne.20von.20Hohenesche/with/604112426
AI use: I worked out all proofs on paper first and most of the design structure of the file. I then used Claude Code (Claude Opus) to transcribe my paper proofs into Lean, weaken hypotheses, reduce redundancy, and fix comment typos.
|
t-order
new-contributor
LLM-generated
|
568/3 |
Mathlib.lean,Mathlib/Order/Dilworth.lean,docs/1000.yaml |
3 |
18 |
['AntoineduFresne', 'SnirBroshi', 'github-actions', 'tdwag123'] |
nobody |
53-45832 1 month ago |
53-46464 53 days ago |
105-54650 105 days |
0 |
| 42624 |
xgenereux author:xgenereux |
perf(IntermediateField/Basic): algebra instance for IntermediateField.restrictScalars |
Add `Algebra` / `IsScalarTower` instance for `IntermediateField.restrictScalars`.
This simplifies a proof in `FunctionField.lean`.
I also tried to hunt for another similar application and found one in `Mathlib.FieldTheory.Extension`.
AI disclaimer: I asked an AI assistant to suggest an improvement to the proof in the FunctionField.lean file. This PR is the result of this discussion.
---
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|
t-algebra label:t-algebra$ |
9/12 |
Mathlib/FieldTheory/Extension.lean,Mathlib/FieldTheory/IntermediateField/Basic.lean,Mathlib/NumberTheory/FunctionField.lean |
3 |
6 |
['github-actions', 'leanprover-radar', 'xgenereux'] |
nobody |
51-84234 1 month ago |
52-1355 52 days ago |
52-1076 52 days |
0 |
| 42265 |
cameronfreer author:cameronfreer |
chore(RingTheory/PowerSeries): simplify coeff_inv_aux |
This replaces the hand-written `Finset.sum_nbij'` in `coeff_inv_aux` with `simp_rw` + `simp`, via `Finsupp.antidiagonal_single`, the same rewrite that `PowerSeries.coeff_mul` already uses.
:robot: Golfing target found by GPT Pro 5.6 Sol, initial version of code written by Opus 5 high, refined by GPT 5.6 Sol xhigh, then again by Opus 5 high following @felixpernegger's review suggestion. |
t-ring-theory
new-contributor
LLM-generated
|
2/19 |
Mathlib/RingTheory/PowerSeries/Inverse.lean |
1 |
8 |
['cameronfreer', 'felixpernegger', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
51-17786 1 month ago |
51-18486 51 days ago |
63-45617 63 days |
0 |
| 42675 |
vlad902 author:vlad902 |
feat(NielsenSchreier): add `to_additive` to Nielsen-Schreier theorem |
The proof of the Nielsen-Schreier theorem is not currently `to_additive`ized because it relies on category theory infrastructure like `End`/`IsFreeGroupoid`/`Quiver` that are not `to_additive` and don't appear to be very amenable to adding it.
Instead, `to_additive`ize Nielsen-Schreier by directly going across the isomorphism between `FreeGroup` and `Multiplicative (FreeAddGroup)`.
---
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|
t-group-theory |
25/2 |
Mathlib/GroupTheory/FreeGroup/Basic.lean,Mathlib/GroupTheory/FreeGroup/NielsenSchreier.lean,docs/1000.yaml |
3 |
4 |
['github-actions', 'vihdzp', 'vlad902'] |
nobody |
50-51409 1 month ago |
50-53267 50 days ago |
50-54491 50 days |
1 |
| 42639 |
Raph-DG author:Raph-DG |
feat(Order): krullDimLE characterisation |
In this PR, we show that a preorder has krull dim at most n if and only if every element with coheight greater than n is minimal (+ the dual version and some small corollaries).
---
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|
t-order |
42/0 |
Mathlib/Order/KrullDimension.lean |
1 |
2 |
['github-actions'] |
nobody |
50-49732 1 month ago |
50-51460 50 days ago |
50-54214 50 days |
0 |
| 42629 |
SnirBroshi author:SnirBroshi |
feat(Order/RelSeries): `FiniteDimensionalOrder` implies `WellFoundedLT` |
and `WellFoundedGT`
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|
t-order |
13/0 |
Mathlib/Order/RelSeries.lean |
1 |
6 |
['SnirBroshi', 'github-actions', 'plp127', 'vihdzp'] |
nobody |
50-46303 1 month ago |
50-62910 50 days ago |
50-64669 50 days |
0 |
| 42685 |
harahu author:harahu |
chore(Geometry): tidy markdown headers |
This PR:
- Ensures files in `Mathlib/Geometry` have one and only one H1 header,
- Standardizes some H2 headers,
both enforcing the style guide.
The new title for `Mathlib/Geometry/Convex/Cone/Face/Lattice.lean` was suggested by Claude Opus 5.
---
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|
14/13 |
Mathlib/Geometry/Convex/Cone/Face/Lattice.lean,Mathlib/Geometry/Manifold/Bordism.lean,Mathlib/Geometry/Manifold/ContMDiff/Basic.lean,Mathlib/Geometry/Manifold/ContMDiff/Constructions.lean,Mathlib/Geometry/Manifold/ContMDiff/NormedSpace.lean,Mathlib/Geometry/Manifold/ContMDiffMFDeriv.lean,Mathlib/Geometry/Manifold/Instances/Quotient.lean,Mathlib/Geometry/Manifold/IntegralCurve/Basic.lean,Mathlib/Geometry/Manifold/IntegralCurve/ExistUnique.lean,Mathlib/Geometry/Manifold/IntegralCurve/Transform.lean,Mathlib/Geometry/Manifold/IntegralCurve/UniformTime.lean,Mathlib/Geometry/Manifold/MFDeriv/FDeriv.lean,Mathlib/Geometry/Manifold/VectorBundle/CovariantDerivative/Metric.lean |
13 |
1 |
['github-actions'] |
nobody |
50-42079 1 month ago |
50-43166 50 days ago |
50-42887 50 days |
0 |
| 40759 |
CoolRmal author:CoolRmal |
feat(Order): a sequence converges if every subsequence has a further convergent subsequence |
This PR proves `tendsto_of_forall_filter_le_exists_tendsto`, which is the filter version of the theorem in the title: if for any filter `m ≤ l₁`, there exists a nontrivial filter `n ≤ m` such that `f` converges to `l₂` along `n`, then `f` converges to `l₂` along `l₁`.
Mostly generated in a chat with GPT Pro 5.5. Polished and reviewed by me.
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|
t-order
LLM-generated
|
10/0 |
Mathlib/Order/Filter/Tendsto.lean |
1 |
5 |
['ADedecker', 'CoolRmal', 'attilavjda', 'github-actions'] |
nobody |
50-41038 1 month ago |
103-73109 103 days ago |
105-16260 105 days |
0 |
| 42718 |
justinhalford author:justinhalford |
feat(Combinatorics/SetFamily): the linear algebra method and the Oddtown theorem |
Adds the basic form of the **linear algebra method** for set families (Babai–Frankl) together with its standard first application, the **Oddtown theorem** (Berlekamp, 1969).
### What's here
- `linearIndependent_of_dotProduct_eq_ite` — a family of vectors whose pairwise dot products form the identity matrix is linearly independent. Stated over an arbitrary field, so it does not rely on positivity; this is the engine of the method.
- `Finset.charVec` — the characteristic vector of a finset, valued in a semiring, with `charVec_apply`.
- `Finset.charVec_dotProduct_charVec` — the dot product of two characteristic vectors is the cardinality of the intersection.
- `Finset.card_le_card_of_odd_card_of_even_card_inter` — **Oddtown**: a family of finsets of odd cardinality, any two of which meet in an even number of elements, has at most `Fintype.card α` members.
### Why
I could not find the linear algebra method anywhere in Mathlib. Searching for `Oddtown`, `Eventown`, Fisher's inequality, `RayChaudhuri` and `FranklWilson` returns nothing, and exactly one file under `Mathlib/Combinatorics/` uses `finrank`/`LinearIndependent` (`SimpleGraph/LapMatrix.lean`, for spectral graph theory). Since the technique underlies a large family of extremal results, the general lemma is stated separately from Oddtown so that Eventown, Fisher's inequality and Ray-Chaudhuri–Wilson can be added on top later.
If this does already exist under a formulation I did not think to search for, I would be glad to be pointed at it.
### Verification
Compiles against `master` (Lean 4.34.0-rc1) with no errors or warnings. `#print axioms` on each of the three results reports only `[propext, Classical.choice, Quot.sound]`. No `sorry`, no new axioms, no `set_option` overrides.
### Disclosure
This file was written with AI assistance (Claude Opus 5) and then checked against the Lean kernel; that is noted in the module docstring as well. Every statement, proof and docstring has been read through by me before submission. Happy to adjust naming, generality or placement to whatever the maintainers prefer.
### Process note
I am a first-time contributor and I am aware the usual convention is to raise a new file on Zulip before opening a PR. Apologies for going in the other order — I am glad to move the discussion to `#mathlib4` if that is preferred, or to close this if the material is not wanted.
---
[](https://gitpod.io/#https://github.com/leanprover-community/mathlib4)
|
t-combinatorics
new-contributor
|
144/0 |
Mathlib.lean,Mathlib/Combinatorics/SetFamily/Oddtown.lean |
2 |
3 |
['D-Thomine', 'github-actions'] |
nobody |
49-39783 1 month ago |
49-44267 49 days ago |
49-43988 49 days |
0 |
| 42343 |
brianrabern author:brianrabern |
feat(Combinatorics/SimpleGraph): extend a coloring to one more vertex |
Add `Colorable.of_induce_compl_singleton`: if deleting a vertex `v` leaves an `n`-colourable graph and `deg(v) < n`, then `G` itself is `n`-colourable.
This is a local colouring-extension / induction step (colour `G - v`, then assign `v` a free colour). It is useful for inductive arguments such as Brooks' theorem. The global greedy bound `χ ≤ Δ + 1` is developed separately in #38357.
AI assistance: LLM was used to smooth it out and put things in the expected style
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t-combinatorics
new-contributor
LLM-generated
|
35/0 |
Mathlib/Combinatorics/SimpleGraph/Coloring/Vertex.lean |
1 |
11 |
['Parcly-Taxel', 'SnirBroshi', 'bocowgill', 'brianrabern', 'github-actions'] |
nobody |
49-1745 1 month ago |
58-23178 58 days ago |
60-64419 60 days |
0 |
| 41042 |
Raph-DG author:Raph-DG |
feat(Topology/CategoryTheory): the skyscraper sheaf as a sheaf of modules |
In this PR we define the skyscraper sheaf as a sheaf of modules
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|
t-algebra label:t-algebra$ |
383/0 |
Mathlib.lean,Mathlib/Algebra/Category/ModuleCat/Sheaf/Skyscraper.lean |
2 |
5 |
['Raph-DG', 'attilavjda', 'chrisflav', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
48-52794 1 month ago |
48-53327 48 days ago |
63-66390 63 days |
0 |
| 42471 |
mo271 author:mo271 |
feat(RingTheory/LaurentSeries): add Leibniz rule |
This adds `hasseDeriv_mul` and `derivative_mul`.
Written with the help of Gemini
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|
t-ring-theory
LLM-generated
|
101/0 |
Mathlib/RingTheory/LaurentSeries.lean |
1 |
10 |
['felixpernegger', 'github-actions', 'mathlib-bors', 'mo271', 'wwylele'] |
nobody |
48-51045 1 month ago |
48-51045 48 days ago |
54-49042 54 days |
0 |
| 41373 |
SnirBroshi author:SnirBroshi |
feat(SimpleGraph): some `CliqueFree`/`Free` lemmas |
---
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|
t-combinatorics |
29/0 |
Mathlib/Combinatorics/SimpleGraph/Clique.lean,Mathlib/Combinatorics/SimpleGraph/Copy.lean |
2 |
1 |
['github-actions'] |
nobody |
48-11088 1 month ago |
88-83153 88 days ago |
88-82874 88 days |
1 |
| 41540 |
plp127 author:plp127 |
chore: rename arguments of `Nat.strong_induction_on` |
Name the motive `motive` and name the minor premises according to the case. Also rename for `Fin.strong_induction_on`.
---
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|
63/67 |
Archive/Imo/Imo1981Q3.lean,Archive/Imo/Imo2024Q3.lean,Mathlib/Algebra/Lie/LieTheorem.lean,Mathlib/Algebra/Polynomial/Derivative.lean,Mathlib/Algebra/Polynomial/RuleOfSigns.lean,Mathlib/Algebra/Polynomial/Sequence.lean,Mathlib/Analysis/Analytic/Inverse.lean,Mathlib/Analysis/Analytic/Uniqueness.lean,Mathlib/Combinatorics/Enumerative/Bell.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Subgraph.lean,Mathlib/Computability/Language.lean,Mathlib/Data/Fin/Basic.lean,Mathlib/Data/Fintype/Basic.lean,Mathlib/Data/Fintype/Card.lean,Mathlib/Data/Nat/Choose/Central.lean,Mathlib/Data/Nat/Digits/Lemmas.lean,Mathlib/Data/Nat/Init.lean,Mathlib/Data/Nat/Nth.lean,Mathlib/FieldTheory/IsRealClosed/Basic.lean,Mathlib/FieldTheory/Separable.lean,Mathlib/GroupTheory/GroupAction/Jordan.lean,Mathlib/GroupTheory/SpecificGroups/Cyclic.lean,Mathlib/LinearAlgebra/Eigenspace/Triangularizable.lean,Mathlib/LinearAlgebra/Finsupp/Pi.lean,Mathlib/LinearAlgebra/Multilinear/Basic.lean,Mathlib/ModelTheory/Arithmetic/Presburger/Semilinear/Defs.lean,Mathlib/NumberTheory/Bernoulli.lean,Mathlib/NumberTheory/BernoulliPolynomials.lean,Mathlib/NumberTheory/DiophantineApproximation/Basic.lean,Mathlib/NumberTheory/ModularForms/LevelOne/DimensionFormula.lean,Mathlib/NumberTheory/Pell.lean,Mathlib/NumberTheory/Primorial.lean,Mathlib/Order/Fin/Basic.lean,Mathlib/Order/KrullDimension.lean,Mathlib/RingTheory/AdjoinRoot.lean,Mathlib/RingTheory/Etale/QuasiFinite.lean,Mathlib/RingTheory/Ideal/KrullsHeightTheorem.lean,Mathlib/RingTheory/Ideal/Quotient/Nilpotent.lean,Mathlib/RingTheory/IntegralClosure/IsIntegral/AlmostIntegral.lean,Mathlib/RingTheory/LittleWedderburn.lean,Mathlib/RingTheory/Polynomial/Basic.lean,Mathlib/RingTheory/Polynomial/Cyclotomic/Basic.lean,Mathlib/RingTheory/Polynomial/Cyclotomic/Eval.lean,Mathlib/RingTheory/Polynomial/IsIntegral.lean,Mathlib/RingTheory/Polynomial/Nilpotent.lean,Mathlib/RingTheory/Polynomial/Resultant/Basic.lean,Mathlib/RingTheory/WittVector/Defs.lean,Mathlib/RingTheory/WittVector/Frobenius.lean,Mathlib/RingTheory/WittVector/StructurePolynomial.lean,Mathlib/RingTheory/ZariskisMainTheorem.lean,Mathlib/Topology/Metrizable/Uniformity.lean |
51 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
47-83380 1 month ago |
48-53 47 days ago |
50-72811 50 days |
0 |
| 42788 |
andreylukin author:andreylukin |
feat(Combinatorics/Sperner): define facet incidence data |
## Summary
Adds a small finite facet-ridge incidence interface intended as a prerequisite for the general Sperner lemma (#25231).
- defines finite facets, ridges, and their incidence relation;
- assumes every ridge has one or two cofacets;
- defines boundary and interior ridges and proves that they are disjoint and partition the ridges.
This deliberately does not claim the geometric Sperner theorem. A future development must connect finite triangulations of the standard simplex to this incidence interface and establish the required coface-count property.
## Validation
- `lake build Mathlib.Combinatorics.Sperner.Basic`
- `lake env lean -DwarningAsError=false Mathlib.lean`
Towards #25231
|
t-combinatorics
new-contributor
|
117/0 |
Mathlib.lean,Mathlib/Combinatorics/Sperner/Basic.lean |
2 |
2 |
['github-actions'] |
nobody |
47-21249 1 month ago |
47-23944 47 days ago |
47-23785 47 days |
0 |
| 42758 |
cameronfreer author:cameronfreer |
feat(ModelTheory): add syntax and semantics for infinitary logic |
Add basic syntax and semantics for infinitary model theory of L∞ω (and Lω₁ω).
The new `BoundedFormulaInf L ι α n` uses index type `ι` for all of a formula's infinitary conjunctions and disjunctions, and the definitional
```lean
abbrev BoundedFormulaω (α : Type u') (n : ℕ) := L.BoundedFormulaInf ℕ α n
```
lands in exactly the universe of the finitary `BoundedFormula`, as suggested by @plp127 in [#mathlib4 > ModelTheory: API for infinitary formulas of L_{∞,ω} @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/ModelTheory.3A.20API.20for.20infinitary.20formulas.20of.20L_.7B.E2.88.9E.2C.CF.89.7D/near/613390601).
This PR contains `iSup`/`iInf` constructors, derived connectives together with `alls`/`exs`, `Realize` with `simp` lemmas for every constructor and derived connective, and the embedding `BoundedFormula.toInf` with `realize_toInf`.
I developed this with extensive assistance from several Claude and GPT models along with [lean4-skills](https://github.com/cameronfreer/lean4-skills) and [lean-lsp-mcp](https://github.com/oOo0oOo/lean-lsp-mcp) as part of the ongoing project [cameronfreer/infinitary-logic](https://github.com/cameronfreer/infinitary-logic/). |
t-logic
LLM-generated
new-contributor
|
446/0 |
Mathlib.lean,Mathlib/ModelTheory/Infinitary/Semantics.lean,Mathlib/ModelTheory/Infinitary/Syntax.lean,MathlibTest/InfinitarySyntax.lean |
4 |
4 |
['cameronfreer', 'github-actions'] |
nobody |
47-5887 1 month ago |
48-75188 48 days ago |
48-74909 48 days |
0 |
| 42819 |
SnirBroshi author:SnirBroshi |
feat(Order/ConditionallyCompleteLattice/Indexed): a binary function achieves its minimum |
In a `ConditionallyCompleteLinearOrder` with `WellFoundedLT`.
Also spell the existing unary version as `∃ i, f i = ⨅ i, f i` instead of `iInf f ∈ range f`.
---
Dual theorems are blocked by #39438
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|
t-order |
16/10 |
Mathlib/Combinatorics/SimpleGraph/Girth.lean,Mathlib/Data/ENat/Lattice.lean,Mathlib/Dynamics/TopologicalEntropy/CoverEntropy.lean,Mathlib/Order/ConditionallyCompleteLattice/Indexed.lean,Mathlib/SetTheory/Cardinal/Cofinality/Basic.lean,Mathlib/SetTheory/Ordinal/Basic.lean |
6 |
1 |
['github-actions'] |
nobody |
46-35189 1 month ago |
46-37657 46 days ago |
46-38196 46 days |
0 |
| 38055 |
felixpernegger author:felixpernegger |
feat(Topology/EMetricSpace): add r-variation |
Redoing #37007 (I had accidently deleted my fork which nuked the PR).
See https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/p-variation for discussion.
---
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[](https://gitpod.io/from-referrer/)
|
t-topology
t-analysis
|
395/0 |
Mathlib.lean,Mathlib/Topology/EMetricSpace/RVariation.lean |
2 |
22 |
['felixpernegger', 'github-actions', 'luigi-massacci', 'luigimassacci-ax', 'mathlib-merge-conflicts'] |
nobody |
45-76117 1 month ago |
57-38579 57 days ago |
162-31542 162 days |
0 |
| 42540 |
shaikidris author:shaikidris |
feat(Combinatorics): asymptotic / natural density and linear-growth bridge |
Redefines asymptotic / natural density around a shared finite relative-density profile, instead of density along `SummationFilter`s.
* `Set.partialDensity S A b` — proportion of `A ∩ Iio b` in `S`
* `Set.lowerDensity` / `Set.upperDensity` — liminf / limsup of that profile
* `Set.HasDensity` — convergence of the profile; `Set.HasNaturalDensity` — `ℕ` case with `A = univ`
* Basic API: `[0,1]` bounds, empty/univ, finite sets have density `0`, `Finset.range` characterizations
* Drops the filter-parametric layer and the junk-valued `naturalDensity`
* Opt-in `Mathlib.Combinatorics.AsymptoticDensity.LinearGrowth`: exact lower/upper density equalities for the counting function `n ↦ #{x ∈ Finset.range n | x ∈ S}`, with no `LinearGrowth` dependency on the core density module
* Retargets the Schnirelmann TODO to this module; Schnirelmann-density comparison proofs are left for follow-up (the linear-growth bridge is proved here)
AI disclosure: this PR is primarily LLM-generated (OpenAI Codex). I reviewed the design (with review comments feedback), public APIs and edge-cases.
I primarily used these as part of my other project on quantitative descent and I think there is a merit in reusability.
---
---
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|
new-contributor
t-combinatorics
LLM-generated
|
358/2 |
Mathlib.lean,Mathlib/Combinatorics/AsymptoticDensity.lean,Mathlib/Combinatorics/AsymptoticDensity/LinearGrowth.lean,Mathlib/Combinatorics/Schnirelmann.lean |
4 |
16 |
['D-Thomine', 'b-mehta', 'github-actions', 'jcommelin', 'mathlib-bors', 'shaikidris', 'wwylele'] |
nobody |
45-43645 1 month ago |
51-47355 51 days ago |
54-65268 54 days |
0 |
| 42365 |
hawkrobe author:hawkrobe |
feat(LinearAlgebra/TensorProduct): tensor product of graded modules is graded |
---
Split from #39849, also a first step toward the TODO in `LinearAlgebra/TensorProduct/Graded/Internal.lean` (the tensor product of graded algebras is graded.) I tried to model it after [AddMonoidAlgebra.gradeBy](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Algebra/MonoidAlgebra/Grading.html#AddMonoidAlgebra.gradeBy).
[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
158/0 |
Mathlib/Data/DFinsupp/Defs.lean,Mathlib/LinearAlgebra/TensorProduct/Decomposition.lean,Mathlib/LinearAlgebra/TensorProduct/Map.lean |
3 |
2 |
['github-actions'] |
nobody |
45-584 1 month ago |
45-10073 45 days ago |
60-3401 60 days |
2 |
| 42775 |
hawkrobe author:hawkrobe |
feat(RingTheory/HopfAlgebra): construct Hopf algebras from generators |
Upgrade a bialgebra to a Hopf algebra from antipode data on an algebra-generating set (`HopfAlgebra.ofGenerators`), plus the primitive-element form `HopfAlgebra.ofPrimitives`. Split out of #39841.
This looks more elegant using Sweedler notation (this proof was taken from a comment in #31898) but mathlib doesn't have the notation available as far as I know.
- [x] depends on: #39841 |
t-ring-theory
new-contributor
|
153/6 |
Mathlib.lean,Mathlib/RingTheory/HopfAlgebra/Generators.lean,Mathlib/RingTheory/HopfAlgebra/Primitive.lean |
3 |
3 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
44-45468 1 month ago |
45-58456 45 days ago |
45-73053 45 days |
1 |
| 41831 |
YaelDillies author:YaelDillies |
chore(RingTheory/TwoSidedIdeal): rid the `SMulMemClass (TwoSidedIdeal R) Rᵐᵒᵖ R` non-instance from its `inst` |
See https://github.com/leanprover-community/mathlib4/pull/40718#discussion_r3573863027.
---
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|
t-ring-theory |
3/1 |
Mathlib/RingTheory/TwoSidedIdeal/Basic.lean |
1 |
3 |
['Ruben-VandeVelde', 'YaelDillies', 'github-actions'] |
nobody |
42-43475 1 month ago |
42-45789 42 days ago |
77-10400 77 days |
0 |
| 42956 |
SnirBroshi author:SnirBroshi |
feat(SimpleGraph/Walk/Chord): chords of `Walk.map` |
---
Not sure if `Chord.lean` should import `Maps.lean` or vice versa.
Importing both from `Copy.lean` would avoid `large-import`, but I don't think that's right.
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|
t-combinatorics
large-import
|
38/2 |
Mathlib/Combinatorics/SimpleGraph/Walk/Chord.lean |
1 |
1 |
['github-actions'] |
nobody |
41-15714 1 month ago |
43-4262 43 days ago |
43-3983 43 days |
0 |
| 41522 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Paths): existence of longest paths/trails/cycles/circuits |
We already have the existence of a longest path/trail. This adds:
- the existence of a longest cycle/circuit
- the existence of a longest path/trail from a specific vertex
- the existence of a longest path/trail between specific endpoints
- the existence of a longest cycle/circuit at a specific vertex
---
`exists_isTrail_forall_length_le_of_pred` is the common argument that works for any predicate on trails, which is then used to prove the 10 versions mentioned above.
I know this looks a bit ugly, but taking a longest path/trail/cycle/circuit is a useful proof technique.
Also, that predicate version might be useful to get Kempe chains, although I haven't tried it.
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|
t-combinatorics |
128/22 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean,Mathlib/Combinatorics/SimpleGraph/Paths.lean |
3 |
1 |
['github-actions'] |
nobody |
41-15668 1 month ago |
41-19562 41 days ago |
84-62363 84 days |
0 |
| 42561 |
SnirBroshi author:SnirBroshi |
feat(Order/RelSeries): order series by refinement |
Define a partial order on `RelSeries`, add basic lemmas for the operations (e.g. `p < p.append q`), and relate to `IsChain` on sets.
This lets us spell "maximal chain" using series.
---
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|
tech debt
t-order
|
150/6 |
Mathlib/Order/RelSeries.lean |
1 |
1 |
['github-actions'] |
nobody |
40-53604 1 month ago |
54-51071 54 days ago |
54-63439 54 days |
0 |
| 43040 |
Qinghev author:Qinghev |
feat(Analysis/Convex): add center mass residual identity |
This adds `Finset.sum_smul_sub_centerMass_eq_zero`, stating that the weighted sum of displacements from a finite center of mass is zero whenever the total weight is nonzero.
---
Codex assisted with drafting and verification. |
t-analysis
new-contributor
|
5/0 |
Mathlib/Analysis/Convex/Combination.lean |
1 |
2 |
['github-actions'] |
nobody |
40-51969 1 month ago |
40-53126 40 days ago |
40-52847 40 days |
0 |
| 43048 |
alreadydone author:alreadydone |
feat(Counterexamples): an invertible semimodule of different cardinality than the semiring |
example due to Sixuan Gu (CUHKSZ) and Wei Qi (Ohio State U)
---
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|
t-algebra label:t-algebra$ |
183/0 |
Counterexamples.lean,Counterexamples/CommSemiring7InvertibleModule6.lean,Mathlib/RingTheory/Spectrum/Maximal/Basic.lean |
3 |
1 |
['github-actions'] |
nobody |
40-8303 1 month ago |
40-10436 40 days ago |
40-10157 40 days |
0 |
| 41710 |
WenrongZou author:WenrongZou |
feat(FormalGroup): generalize the definition of `FormalGroup.Point` |
This PR generalizes the definition of the point of formal group. This will fit into more cases of applications.
---
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|
t-ring-theory |
120/75 |
Mathlib/RingTheory/FormalGroup/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
39-63779 1 month ago |
39-64400 39 days ago |
78-19633 78 days |
1 |
| 43079 |
Parcly-Taxel author:Parcly-Taxel |
chore: rename underscore defs in `JacobiTheta.Bounds` |
In the `HurwitzKernelBounds` namespace:
* `f_nat, g_nat, F_nat -> f, g, F`
* `f_int, F_int -> fZ, FZ` |
t-number-theory
tech debt
|
111/93 |
Mathlib/NumberTheory/LSeries/HurwitzZetaEven.lean,Mathlib/NumberTheory/LSeries/HurwitzZetaOdd.lean,Mathlib/NumberTheory/ModularForms/JacobiTheta/Bounds.lean |
3 |
3 |
['Parcly-Taxel', 'github-actions', 'jcommelin'] |
nobody |
38-43484 1 month ago |
38-61728 38 days ago |
38-61449 38 days |
0 |
| 43029 |
harahu author:harahu |
chore(RingTheory): tidy markdown headers |
This PR:
- ensures all files in `Mathlib/RingTheory` have one and only one H1 header,
- better aligns some H2 headers with the style guide.
For files missing a module header, new headers were authored by Claude Opus 5.
---
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|
t-ring-theory |
48/36 |
Mathlib/RingTheory/AdicCompletion/LocalRing.lean,Mathlib/RingTheory/Algebraic/StronglyTranscendental.lean,Mathlib/RingTheory/DedekindDomain/GaussLemma.lean,Mathlib/RingTheory/Flat/IsBaseChange.lean,Mathlib/RingTheory/GradedAlgebra/Radical.lean,Mathlib/RingTheory/HopkinsLevitzki.lean,Mathlib/RingTheory/Ideal/IdempotentFG.lean,Mathlib/RingTheory/Jacobson/Radical.lean,Mathlib/RingTheory/Kaehler/JacobiZariski.lean,Mathlib/RingTheory/LocalRing/Quotient.lean,Mathlib/RingTheory/Localization/Away/AdjoinRoot.lean,Mathlib/RingTheory/MvPolynomial/MonomialOrder.lean,Mathlib/RingTheory/MvPowerSeries/Expand.lean,Mathlib/RingTheory/MvPowerSeries/LinearTopology.lean,Mathlib/RingTheory/NoetherNormalization.lean,Mathlib/RingTheory/Perfectoid/BDeRham.lean,Mathlib/RingTheory/Perfectoid/FontaineTheta.lean,Mathlib/RingTheory/Perfectoid/Untilt.lean,Mathlib/RingTheory/Polynomial/ShiftedLegendre.lean,Mathlib/RingTheory/PowerSeries/Expand.lean,Mathlib/RingTheory/RegularLocalRing/Defs.lean,Mathlib/RingTheory/SimpleModule/InjectiveProjective.lean,Mathlib/RingTheory/SimpleRing/DivisionRing.lean,Mathlib/RingTheory/SimpleRing/Matrix.lean,Mathlib/RingTheory/Spectrum/Prime/IsOpenComapC.lean,Mathlib/RingTheory/TensorProduct/IsBaseChangeRightExact.lean,Mathlib/RingTheory/TensorProduct/MvPolynomial.lean,Mathlib/RingTheory/Trace/Quotient.lean,Mathlib/RingTheory/WittVector/Frobenius.lean,Mathlib/RingTheory/WittVector/Identities.lean,Mathlib/RingTheory/WittVector/Isocrystal.lean,Mathlib/RingTheory/WittVector/MulP.lean,Mathlib/RingTheory/WittVector/Verschiebung.lean |
33 |
11 |
['github-actions', 'grunweg', 'harahu'] |
nobody |
38-33947 1 month ago |
38-35888 38 days ago |
40-52233 40 days |
0 |
| 40470 |
gasparattila author:gasparattila |
feat(Order/Partition/Finpartition): generalize `atomise` to `GeneralizedBooleanAlgebra` |
---
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|
t-order |
141/66 |
Mathlib/Combinatorics/SimpleGraph/Regularity/Chunk.lean,Mathlib/Order/Partition/Finpartition.lean |
2 |
4 |
['gasparattila', 'github-actions', 'mathlib-dependent-issues'] |
nobody |
38-24223 1 month ago |
50-3913 50 days ago |
50-12373 50 days |
0 |
| 41481 |
SnirBroshi author:SnirBroshi |
feat(SimpleGraph/Connectivity/Connected): a preconnected graph with finitely many edges has finitely many vertices |
`Finite V ↔ Finite G.Dart ↔ G.support.Finite ↔ G.edgeSet.Finite`
---
`#G.Dart = 2 * #G.edgeSet` is also true (#36406) which could simplify the `edgeSet` proof, but it's in `DegreeSum.lean` and more complicated. Having `Finite` theorems seems useful.
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|
t-combinatorics
large-import
|
79/1 |
Mathlib/Combinatorics/SimpleGraph/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean,Mathlib/Combinatorics/SimpleGraph/Dart.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Basic.lean |
4 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
38-10870 1 month ago |
59-15385 59 days ago |
71-58289 71 days |
0 |
| 43036 |
SnirBroshi author:SnirBroshi |
feat(Order/RelSeries): a strict order on a finite domain is finite dimensional |
Bound the length of a `RelSeries r` by the cardinality of `α` when `r` is a strict order (irreflexive and transitive), and show:
- `Finite α → r.IsIrrefl → r.IsTrans → Finite (RelSeries r)`
- `Infinite α → Infinite (RelSeries r)`
- `Finite α → Nonempty α → r.IsIrrefl → r.IsTrans → r.FiniteDimensional`
- `r.IsIrrefl → r.IsTrans → r.InfiniteDimensional → Infinite α`
---
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|
t-order |
62/13 |
Mathlib.lean,Mathlib/Order/RelSeries.lean,Mathlib/Order/RelSeries/Lemmas.lean |
3 |
1 |
['github-actions'] |
nobody |
37-84053 1 month ago |
40-66564 40 days ago |
40-67659 40 days |
0 |
| 43023 |
SnirBroshi author:SnirBroshi |
feat(Order/RelSeries): change `FiniteDimensional` to allow empty types |
This also means that the zero ring is now `FiniteRingKrullDim`, and that `Empty` is `FiniteDimensionalOrder`.
[#mathlib4 > Should zero ring be finite-dimensional?](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Should.20zero.20ring.20be.20finite-dimensional.3F/with/495871110)
---
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t-order |
67/55 |
Mathlib/Order/KrullDimension.lean,Mathlib/Order/RelSeries.lean,Mathlib/RingTheory/Ideal/Height.lean,Mathlib/RingTheory/Ideal/KrullsHeightTheorem.lean,Mathlib/RingTheory/KrullDimension/Basic.lean |
5 |
3 |
['SnirBroshi', 'github-actions', 'themathqueen'] |
nobody |
37-15847 1 month ago |
41-22373 41 days ago |
41-22094 41 days |
0 |
| 43113 |
themathqueen author:themathqueen |
feat(Topology/Algebra/Module/Spaces/CLM): linear map version of `smulRightL` |
This is the linear map version of `smulRightL` that can be used for non-normed spaces.
---
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|
t-topology |
20/1 |
Mathlib/Analysis/Normed/Operator/Bilinear.lean,Mathlib/Topology/Algebra/Module/Spaces/ContinuousLinearMap.lean |
2 |
1 |
['github-actions'] |
nobody |
37-7680 1 month ago |
37-9995 37 days ago |
37-9889 37 days |
1 |
| 43102 |
tb65536 author:tb65536 |
chore(GroupTheory/PGroup): to_additivize most of the file |
This PR to_additivizes most of `GroupTheory/PGroup.lean`.
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|
t-algebra
t-group-theory
label:t-algebra$ |
82/16 |
Mathlib/Algebra/Module/ZMod.lean,Mathlib/GroupTheory/PGroup.lean,Mathlib/Tactic/Translate/ToAdditive.lean |
3 |
6 |
['SnirBroshi', 'acmepjz', 'github-actions', 'tb65536'] |
nobody |
37-5391 1 month ago |
37-22453 37 days ago |
37-22176 37 days |
0 |
| 40620 |
SnirBroshi author:SnirBroshi |
feat(Order/SuccPred/CompleteLinearOrder): `sSup s = ⊤` iff theorems for `WithTop` |
For a `[ConditionallyCompleteLinearOrderBot α]` with `(s : Set (WithTop α))`:
- `sSup s = ⊤ ↔ ∀ a : α, ∃ b ∈ s, a < b`
- `[NoMaxOrder α] → sSup s = ⊤ ↔ ∀ a : α, ∃ b ∈ s, a ≤ b`
and the matching `iSup` theorems.
These can't be dualized because `ConditionallyCompleteLinearOrderBot` has no dual.
---
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[](https://gitpod.io/from-referrer/)
|
t-order |
26/0 |
Mathlib/Order/SuccPred/CompleteLinearOrder.lean,Mathlib/Order/WithBot.lean |
2 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
36-84393 1 month ago |
37-908 37 days ago |
37-7927 37 days |
1 |
| 43123 |
harahu author:harahu |
chore(Testing): tidy markdown headers |
This PR ensures files in `Mathlib/Testing` have one and only one H1 header.
In the cases where the file did not already have an obvious H1 header candidate, a new header was authored by Claude Opus 5.
---
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[](https://gitpod.io/from-referrer/)
|
|
5/1 |
Mathlib/Testing/Plausible/Functions.lean,Mathlib/Testing/Plausible/Sampleable.lean,Mathlib/Testing/Plausible/Testable.lean |
3 |
1 |
['github-actions'] |
nobody |
36-47569 1 month ago |
36-48303 36 days ago |
36-48024 36 days |
0 |
| 43122 |
harahu author:harahu |
chore(Tactic): tidy markdown headers |
This PR ensures files in `Mathlib/Tactic` have one and only one H1 header.
In the cases where the file did not already have an obvious H1 header candidate, a new header was authored by Claude Opus 5.
---
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[](https://gitpod.io/from-referrer/)
|
|
60/37 |
Mathlib/Tactic/Algebraize.lean,Mathlib/Tactic/ApplyCongr.lean,Mathlib/Tactic/Bound.lean,Mathlib/Tactic/CategoryTheory/CheckCompositions.lean,Mathlib/Tactic/Conv.lean,Mathlib/Tactic/CrossRefAttribute.lean,Mathlib/Tactic/DSimpPercent.lean,Mathlib/Tactic/DeclarationNames.lean,Mathlib/Tactic/DepRewrite.lean,Mathlib/Tactic/FunProp/Attr.lean,Mathlib/Tactic/FunProp/Decl.lean,Mathlib/Tactic/FunProp/Elab.lean,Mathlib/Tactic/FunProp/FunctionData.lean,Mathlib/Tactic/FunProp/Mor.lean,Mathlib/Tactic/FunProp/Theorems.lean,Mathlib/Tactic/FunProp/ToBatteries.lean,Mathlib/Tactic/FunProp/Types.lean,Mathlib/Tactic/GuardGoalNums.lean,Mathlib/Tactic/GuardHypNums.lean,Mathlib/Tactic/Inhabit.lean,Mathlib/Tactic/Linarith.lean,Mathlib/Tactic/Linter/Style.lean,Mathlib/Tactic/Linter/TextBased.lean,Mathlib/Tactic/Linter/UnusedTacticExtension.lean,Mathlib/Tactic/NormNum/Core.lean,Mathlib/Tactic/NormNum/OfScientific.lean,Mathlib/Tactic/NormNum/Pow.lean,Mathlib/Tactic/NormNum/Result.lean,Mathlib/Tactic/Positivity/Basic.lean,Mathlib/Tactic/Positivity/Core.lean,Mathlib/Tactic/Ring/NamePolyVars.lean,Mathlib/Tactic/Ring/NamePowerVars.lean,Mathlib/Tactic/SplitIfs.lean,Mathlib/Tactic/Tauto.lean,Mathlib/Tactic/ToAdditive.lean,Mathlib/Tactic/ToDual.lean,Mathlib/Tactic/Widget/CommDiag.lean |
37 |
1 |
['github-actions'] |
nobody |
36-47050 1 month ago |
36-50328 36 days ago |
36-50049 36 days |
0 |
| 42771 |
xgenereux author:xgenereux |
feat(RingTheory/DedekindDomain/AdicValuation): adic valuations are trivial on subfields |
Two lemmas about height one primes and their behaviors on a subfield `k` of `R`.
- Its associated valuation is trivial on `k`.
- Its nonzero elements are transcendental over `k`
AI disclaimer: I used AI to suggest placement in the file and docstring. Lemmas are mine.
Co-authored-by: María Inés de Frutos Fernández <[mariaines.dff@gmail.com](mailto:mariaines.dff@gmail.com)>
---
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|
t-ring-theory |
21/0 |
Mathlib/RingTheory/DedekindDomain/AdicValuation.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
36-9934 1 month ago |
36-10471 36 days ago |
39-16994 39 days |
0 |
| 43144 |
gotrevor author:gotrevor |
doc(100-yaml): claim #53 (Pi is Transcendental) via an external Lean 4 formalization |
Adds `authors` + `links.result` to `docs/100.yaml` entry **53, "Pi is Transcendental"**, which
currently has a title and nothing else.
The formalization lives outside mathlib, in Lean 4:
[`PiTranscendental.lean`](https://github.com/gotrevor/lean-formalizations/blob/main/src/LeanFormalizations/NumberTheory/Transcendence/PiTranscendental.lean)
— `transcendental_pi_axiomClean : Transcendental ℚ Real.pi`, with
`#print axioms` = `[propext, Classical.choice, Quot.sound]` (re-verified 2026-08-25 against
mathlib v4.31.0). It builds the full Lindemann assembly on mathlib's own
`exp_polynomial_approx`: the analytic engine generalised to an arbitrary conjugate polynomial,
plus the algebraic half (symmetric functions over the Galois conjugates of `iπ`, via the
fundamental theorem of symmetric polynomials). `e_transcendental` is proved in the same chain.
No `decl` field, since that is for in-mathlib declarations and is existence-checked. `title` is
untouched. This follows the existing external-formalization entries: 8 (Compass), 24
(flypitch/CH), 31 (Ramsey), 36 (Brouwer), and 67 ("e is Transcendental").
`scripts/yaml_check.py docs/{100,1000,overview,undergrad}.yaml` exits 0.
### On #28013
[#28013](https://github.com/leanprover-community/mathlib4/pull/28013) (Lindemann–Weierstrass,
@astrainfinita) is open and active, and when it lands entry 53 should get a proper in-mathlib
`decl` — at which point this pointer has done its job and should be replaced or dropped. I am
not proposing this as an alternative to that work, and I would rather it landed than mine be
listed. This is only meant to record that a checkable Lean 4 proof exists in the meantime, which
is what `links.result` is for on the other five entries. Happy to close this if maintainers would
rather the entry stay empty until #28013 merges.
### Use of AI
The Lean development this points at was largely written by Claude working in long autonomous
sessions against a `lake build` + `#print axioms` gate, and two symmetric-function lemmas came
from Harmonic's Aristotle and were re-verified in the repository's own kernel; the repo's README
and commit history say so. This PR's four-line YAML diff was likewise drafted with Claude. I have
checked the axiom footprint myself and the linked file is machine-checked end to end.
|
LLM-generated
new-contributor
|
4/0 |
docs/100.yaml |
1 |
3 |
['github-actions', 'gotrevor'] |
nobody |
35-84195 1 month ago |
35-84777 35 days ago |
35-84498 35 days |
0 |
| 41578 |
kim-em author:kim-em |
chore: weaken hypotheses of Algebra.IsUnramifiedIn.ramificationIdx_eq_one |
This PR drops the unused `[IsDomain R] [Module.Finite ℤ R] [CharZero R] [Algebra.IsIntegral R S]` hypotheses from `Algebra.IsUnramifiedIn.ramificationIdx_eq_one` by proving via `Ideal.ramificationIdx_eq_one` directly rather than through `Ideal.ramificationIdx_eq_one_iff`, and tidy the docstrings in `Mathlib/RingTheory/Unramified/Locus.lean` (fix a stray space before a period, mention `Algebra.IsUnramifiedIn` in the module docstring, add a missing blank line).
Follow-up to [#40886 (feat: add Algebra.IsUnramifiedIn)](https://github.com/leanprover-community/mathlib4/pull/40886).
🤖 Prepared with Claude Code
|
LLM-generated |
9/7 |
Mathlib/NumberTheory/RamificationInertia/Unramified.lean,Mathlib/RingTheory/Unramified/Locus.lean |
2 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
35-59883 1 month ago |
35-61302 35 days ago |
64-42363 64 days |
0 |
| 42353 |
sankalpsthakur author:sankalpsthakur |
feat(RingTheory): add nilpotence lemmas for zero sums |
In a commutative semiring, adds:
- `sq_eq_sq_of_add_eq_zero`: if `x + y = 0` then `x^2 = y^2`
- `IsNilpotent.of_add_eq_zero_left`: if `x + y = 0` and `y` is nilpotent, so is `x`
- `isNilpotent_iff_of_add_eq_zero`: under `x + y = 0`, `x` is nilpotent iff `y` is
Motivated by #10539.
### Validation
Built locally: `lake build Mathlib.RingTheory.Nilpotent.Basic` — succeeds.
Closes #10539
### AI/LLM disclosure
AI coding tools were used to help draft this change and PR description. I reviewed the complete change, understand the reasoning, and verified the build locally before submitting. |
t-ring-theory
new-contributor
LLM-generated
|
49/0 |
Mathlib/RingTheory/Nilpotent/Basic.lean |
1 |
27 |
['github-actions', 'sankalpsthakur', 'tb65536'] |
nobody |
35-38556 1 month ago |
36-54102 36 days ago |
42-61611 42 days |
0 |
| 43157 |
NoahW314 author:NoahW314 |
feat(Algebra/Category): divisible R-modules over a PID are injective |
This generalizes the existing result that divisible groups that injective to hold over any principal ideal ring. The same proof works with only minor modifications.
---
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- Nat.bit1_add_bit1
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[](https://gitpod.io/from-referrer/)
|
large-import
t-algebra
label:t-algebra$ |
27/16 |
Mathlib/Algebra/Category/Grp/Injective.lean,Mathlib/Algebra/Category/ModuleCat/Injective.lean,Mathlib/Algebra/Module/CharacterModule.lean |
3 |
2 |
['NoahW314', 'github-actions'] |
nobody |
35-15168 1 month ago |
35-61066 35 days ago |
35-61328 35 days |
0 |
| 43082 |
WenrongZou author:WenrongZou |
feat(RingTheory/Henselian): add Hensel lemma for non-monic polynomials |
In a ring `R` that is Henselian at an ideal `I`, a simple root modulo `I` lifts to a root in `R` even when the polynomial is not monic.
And for local ring, we prove two more equivalent description of the theorem [`HenselianLocalRing.TFAE`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/RingTheory/Henselian.html#HenselianLocalRing.TFAE).
---
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
111/20 |
Mathlib/Algebra/Polynomial/Reverse.lean,Mathlib/RingTheory/Henselian.lean |
2 |
2 |
['github-actions'] |
nobody |
34-53433 1 month ago |
38-51005 38 days ago |
38-50726 38 days |
0 |
| 42283 |
YaelDillies author:YaelDillies |
feat(RingTheory): diagonalisable Hopf algebras |
Define diagonalisable Hopf algebras as those that are isomorphic to some group algebra. We will prove in a later PR that they are closed under tensor product.
From Toric
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|
t-ring-theory
toric
|
168/1 |
Mathlib.lean,Mathlib/LinearAlgebra/Finsupp/LinearCombination.lean,Mathlib/LinearAlgebra/LinearIndependent/Defs.lean,Mathlib/RingTheory/HopfAlgebra/Basic.lean,Mathlib/RingTheory/HopfAlgebra/Diagonalisable.lean |
5 |
1 |
['github-actions'] |
nobody |
34-28950 1 month ago |
62-54335 62 days ago |
62-54108 62 days |
1 |
| 40826 |
felixpernegger author:felixpernegger |
feat(ci): autolabel PRs with "Generated with Claude Code" |
When one tells Claude code to open a PR, it will usually end the description with "🤖 Generated with [Claude Code](https://claude.com/claude-code)" (Im sure almost everyone will have seen this at this point).
This PR adds an action that will autolabel PRs with that ending as "LLM-generated", which might save a bit of time.
[List of all such PRs to mathlib](https://github.com/leanprover-community/mathlib4/pulls?q=is%3Apr+%F0%9F%A4%96+Generated+with+Claude+Code+)
(Ironically enough, I made this PR with Codex...)
---
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[](https://gitpod.io/from-referrer/)
|
CI
LLM-generated
|
44/0 |
.github/workflows/label_llm_generated.yml,docs/workflows.md |
2 |
6 |
['SnirBroshi', 'felixpernegger', 'github-actions', 'joneugster'] |
nobody |
34-21718 1 month ago |
104-5162 104 days ago |
104-5228 104 days |
0 |
| 32294 |
jsm28 author:jsm28 |
feat(Geometry/Euclidean/Angle/Incenter): distance from second intersection with circumcircle |
Add the following lemma: given a triangle ABC, suppose an angle bisector from A through the incenter or excenter I meets the circumcircle again at X (including the case of an external bisector at A tangent to the circle, in which case X = A). Then XB = XI (= XC, by applying this lemma again). This is a standard configuration: https://en.wikipedia.org/wiki/Incenter%E2%80%93excenter_lemma
---
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- [x] depends on: #30982
- [x] depends on: #32019
- [x] depends on: #32021
- [x] depends on: #32023
- [x] depends on: #32270
- [x] depends on: #32290
[](https://gitpod.io/from-referrer/)
|
t-euclidean-geometry |
187/0 |
Mathlib/Geometry/Euclidean/Angle/Incenter.lean |
1 |
24 |
['YaelDillies', 'felixpernegger', 'github-actions', 'jsm28', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'peakpoint'] |
nobody |
33-37129 1 month ago |
40-14924 40 days ago |
186-76097 186 days |
1 |
| 42377 |
norbsvr author:norbsvr |
doc(1000.yaml): add Brauer's theorem on induced characters |
Claims a proof of [Q4958218:](https://www.wikidata.org/wiki/Q4958218) Brauer's theorem on induced characters.
The formalization is in an <a href="https://github.com/norbsvr/BrauerInduction/">external Lean 4 repository</a>. Please see file `README.md` for further information.
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor |
3/0 |
docs/1000.yaml |
1 |
3 |
['github-actions'] |
nobody |
33-3662 1 month ago |
60-10480 60 days ago |
60-10201 60 days |
0 |
| 43231 |
E-M-Bailey author:E-M-Bailey |
feat(Analysis/Analytic): expand and update `AnalyticAt.comp_sub`-type theorems |
Adds `.comp_add` and biconditional versions of the `AnalyticAt.comp_sub`-type theorems. Also shortens the `.comp_sub` statements and simplifies a few of their proofs.
---
The purpose of this minor change, and in particular the biconditional versions, is to make it more convenient to shift power series. For example, I am currently working on a proof with a hypothesis of type `∀ᶠ w in 𝓝 z, ∀ i, AnalyticAt ℂ (f <| update w i ·) (w i)`, and I wanted to simplify the proof by assuming `z = 0`. This makes the `wlog` step shorter.
---
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[](https://gitpod.io/from-referrer/)
|
t-analysis
new-contributor
|
202/32 |
Mathlib/Analysis/Analytic/Basic.lean |
1 |
3 |
['github-actions'] |
nobody |
32-20976 1 month ago |
32-22392 32 days ago |
32-22196 32 days |
0 |
| 43196 |
danderson70-UNL author:danderson70-UNL |
doc: add Jacobi Four-Square proof to the list of 1000 theorems |
|
new-contributor |
3/0 |
docs/1000.yaml |
1 |
3 |
['github-actions'] |
nobody |
31-19859 1 month ago |
33-85806 33 days ago |
33-85527 33 days |
0 |
| 43143 |
martinwintermath author:martinwintermath |
feat(LinearAlgebra/SesquilinearForm): add instances for SeparatingLeft, SeparatingRight and Nondegenerate |
Add typeclass instances for `Fact B.SeparatingLeft`, `Fact B.SeparatingRight`, `Fact B.Nondegenerate`:
* inferring `Fact B.flip.SeparatingLeft` from `Fact B.SeparatingRight` and vice versa
* inferring `Fact B.SeparatingLeft` and `Fact B.SeparatingRight` from `Fact B.Nondegenerate`
* inferring `Fact B.SeparatingLeft` and `Fact B.Nondegenerate` for `.id` and `Dual.eval`
* inferring `Fact B.Nondegenerate` from `B.IsPerfPair`
I also updated `PointedCone.dual_univ` to demonstrate a use for these additions. Note that I needed to add an import to `Cone/Dual.lean` which somehow imports cardinals. So I needed to remove cardinals from `assert_not_exists`.
Zulip: [#mathlib4 > Typeclass instances for separating bilinear forms](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Typeclass.20instances.20for.20separating.20bilinear.20forms/with/570348517)
---
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[](https://gitpod.io/from-referrer/)
|
large-import
t-algebra
label:t-algebra$ |
33/4 |
Mathlib/Geometry/Convex/Cone/Dual.lean,Mathlib/LinearAlgebra/PerfectPairing/Basic.lean,Mathlib/LinearAlgebra/SesquilinearForm/Basic.lean |
3 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
31-2154 1 month ago |
31-3384 31 days ago |
31-6749 31 days |
0 |
| 43258 |
ScottCarnahan author:ScottCarnahan |
feat(Algebra/MonoidAlgebra/PointwiseSMul): add smulAntidiagonal and API |
Given actions of `R` on `V` and `G` on `P`, the `smulAntidiagonal` of `f : MonoidAlgebra R G` and `x : P → V` at `p : P` is the finset in `G × P` whose elements scalar-multiply to `p` and whose components lie in the support of `f` and `x`. This PR defines the `smulAntidiagonal` and shows that convolutional scalar multiplication coincides with monoid algebra multiplication when `V = R` and `P = G`.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
49/0 |
Mathlib/Algebra/MonoidAlgebra/PointwiseSMul.lean |
1 |
1 |
['github-actions'] |
nobody |
30-84140 1 month ago |
31-32535 31 days ago |
31-32256 31 days |
0 |
| 41904 |
rshlyakh author:rshlyakh |
feat(RingTheory/KrullDimension): add Krull dimension preservation under injective integral extensions |
This proves that an injective integral homomorphism of commutative rings
preserves Krull dimension, based on the `Algebra.HasGoingUp` infrastructure from #40911. It includes:
- `RingHom.IsIntegral.ringKrullDim_eq_of_injective`: injective integral homomorphisms of
commutative rings preserve Krull dimension.
- `RingHom.IsIntegral.ringKrullDim_quotient_ker_eq`: for an integral extension `f : A →+* B`,
the Krull dimension of `B` is equal to the Krull dimension of `A ⧸ RingHom.ker f`.
- [x] depends on: #40911
- [x] depends on: #41058
---
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
|
77/12 |
Mathlib.lean,Mathlib/RingTheory/Ideal/HasGoingUp.lean,Mathlib/RingTheory/KrullDimension/Integral.lean |
3 |
14 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'rshlyakh', 'vlad902'] |
nobody |
30-70246 1 month ago |
47-83924 47 days ago |
74-57138 74 days |
1 |
| 42590 |
AntoineduFresne author:AntoineduFresne |
feat(Order/UpperLower/Closure): the upper and lower closures of a maximal antichain cover the order |
I add `IsMaxAntichain.upperClosure_union_lowerClosure`. It says that the upper and lower closures of a maximal antichain cover the whole order.
I put it right after `ordConnected_iff_upperClosure_inter_lowerClosure`, next to `upperClosure_inter_lowerClosure`, which seems the right spot.
The lemma is about antichains, so `Mathlib/Order/Antichain.lean` would have looked like the natural file to modify, but `upperClosure` is defined in `Mathlib/Order/UpperLower/Closure.lean`, which imports `Mathlib.Order.Interval.Set.OrdConnected`, which imports `Mathlib.Order.Antichain`. So to avoid an import loop I put it in `Closure.lean`.
I split this out of #40741, where a reviewer suggested it. Nothing in that PR uses the lemma.
|
t-order
new-contributor
|
13/0 |
Mathlib/Order/Antichain.lean,Mathlib/Order/UpperLower/Closure.lean |
2 |
12 |
['AntoineduFresne', 'Ruben-VandeVelde', 'SnirBroshi', 'github-actions', 'tdwag123'] |
nobody |
30-49484 1 month ago |
31-1544 31 days ago |
46-44700 46 days |
0 |
| 43128 |
dannyhe652 author:dannyhe652 |
feat(SimpleGraph/Coloring): add edge colorings and missing colors |
## Summary
This PR starts the edge-coloring API needed for Vizing's theorem.
It defines edge colorings as vertex colorings of the line graph, introduces edge
colorability and the chromatic index, and adds the basic local color-set API around a
vertex.
Main additions:
- `vizing.edgeColoring`
- `vizing.edgeColorable`
- `vizing.chromaticIndex`
- `vizing.incidentEdges`
- `vizing.incidentColors`
- `vizing.missingColors`
It also proves the basic cardinality estimates relating incident colors to vertex degree,
including that with more available colors than the degree, some color is missing at the
vertex.
This is the first PR in a stacked development toward Vizing's theorem.
## Co-authors
Co-authored-by: Daniel Raggi <dr495@cam.ac.uk>
Co-authored-by: Aristotle (Harmonic) <aristotle-harmonic@harmonic.fun>
Co-authored-by: Claude Opus 4.5 & 4.6 <noreply@anthropic.com>
---
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
LLM-generated
|
271/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/EdgeColoring.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/KempeChain.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/KempeChain/Basic.lean |
4 |
6 |
['SnirBroshi', 'dannyhe652', 'github-actions'] |
nobody |
30-32579 1 month ago |
36-43081 36 days ago |
36-42898 36 days |
4 |
| 43307 |
Parcly-Taxel author:Parcly-Taxel |
feat: quaternion operations wrt coordinates |
Add `QuaternionAlgebra.mk_{zero,one,natCast,intCast}` and `QuaternionAlgebra.{mk_mul_mk,star_mk}` as convenience lemmas for working with quaternions whose coordinates are explicitly given. These lemmas allow [the following code](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Transparency.20problem.20with.20quaternions/near/618254305) to work:
```lean
import Mathlib.Analysis.Quaternion
import Mathlib.NumberTheory.Real.GoldenRatio
noncomputable section
open goldenRatio Quaternion
/-- The unit icosian `(1 + i + j + k) / 2`, which has order 6. -/
def icosian6 : ℍˣ where
val := ⟨2⁻¹, 2⁻¹, 2⁻¹, 2⁻¹⟩
inv := ⟨2⁻¹, -2⁻¹, -2⁻¹, -2⁻¹⟩
val_inv := by rw [mk_mul_mk, QuaternionAlgebra.mk_one]; norm_num
inv_val := by rw [mk_mul_mk, QuaternionAlgebra.mk_one]; norm_num
/-- The unit icosian `(φ + i + ψ*j) / 2`, which has order 10. -/
def icosian10 : ℍˣ where
val := ⟨φ / 2, 2⁻¹, ψ / 2, 0⟩
inv := ⟨φ / 2, -2⁻¹, -ψ / 2, 0⟩
val_inv := by rw [mk_mul_mk, QuaternionAlgebra.mk_one]; grind
inv_val := by rw [mk_mul_mk, QuaternionAlgebra.mk_one]; grind
/-- The unit icosians. -/
def Icosian : Subgroup ℍˣ := Subgroup.closure {icosian6, icosian10}
``` |
t-algebra label:t-algebra$ |
18/0 |
Mathlib/Algebra/Quaternion.lean |
1 |
1 |
['github-actions'] |
nobody |
30-20866 1 month ago |
30-22178 30 days ago |
30-21899 30 days |
0 |
| 43205 |
wwylele author:wwylele |
feat(FieldTheory): extension is separable if its degree is less than the positive char |
This is a series of lemma analog to the existing CharZero lemma
- `Polynomial.mem_support_derivative` -> `Polynomial.mem_support_derivative_of_isSMulRegular` (I used SMulRegular as this seems to be the right spelling for Semiring)
- `Polynomial.degree_derivative` -> `Polynomial.degree_derivative_of_isSMulRegular`
- `Polynomial.natDegree_derivative` -> `Polynomial.natDegree_derivative_of_isSMulRegular`
- `Irreducible.separable` -> `Irreducible.separable_of_natCast_natDegree_ne_zero`
- `IsSeparable.of_integral` -> `IsSeparable.of_integral_of_natCast_natDegree_ne_zero`
- `Algebra.IsSeparable.of_integral` -> `Algebra.IsSeparable.of_integral_of_finrank_lt` & `Algebra.IsSeparable.of_integral_of_rank_lt`
---
From https://github.com/wwylele/Compass
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|
t-algebra label:t-algebra$ |
69/16 |
Mathlib/Algebra/Polynomial/Derivative.lean,Mathlib/FieldTheory/Separable.lean |
2 |
2 |
['copilot-pull-request-reviewer', 'github-actions'] |
nobody |
30-14633 1 month ago |
33-25104 33 days ago |
33-25361 33 days |
0 |
| 42468 |
Cobord author:Cobord |
feat: added lambda rings |
Description:
This does lambda rings. It is mostly over rationals so we can concern ourselves only with the psi^n operations and not the more complicated lambda^n operations. Doing the more general case could be another PR. This also includes the Getzler type formulation as the map involving Lambda_R the ring of symmetric functions in countably many variables (which again because R is assumed as [Algebra Q R] is described with it's power sum generators). That is to say the Plethystic action. Homomorphisms of such lambda rings are also covered. In particular, those of inclusions of subrings closed under those psi^n operations. In addition, one of the primary motivating examples of K(GL(n)/P) otimes_Z Q is described as such an instance to provide an example that is not Lambda_R.
This was done with Claude Code for generating initial versions but I had not given a good full prompt about prefering psi^n over lambda^n or using a structure instead of a prop in AdamsHom so I ended up rewriting most of those parts by hand anyway. The exception is the PrimeExtend file which is about only giving the psi^p instead of all of the psi^n, but abstracted away from those particular details per clarifying instructions after an initial version.
Because PrimeExtend is so much, this has a tag of
LLM-generated
In addition even though it is in RingTheory it is highly relevant to
t-combinatorics
in the sense of algebraic combinatorics due to use of ring of symmetric functions in countably many variables. |
t-ring-theory
new-contributor
t-combinatorics
LLM-generated
|
898/0 |
Mathlib.lean,Mathlib/RingTheory/LambdaRing/AdamsHom.lean,Mathlib/RingTheory/LambdaRing/AdamsOperations.lean,Mathlib/RingTheory/LambdaRing/KFlagExample.lean,Mathlib/RingTheory/LambdaRing/PrimeExtend.lean,Mathlib/RingTheory/LambdaRing/SymmetricFunctions.lean |
6 |
4 |
['Cobord', 'github-actions'] |
nobody |
29-81176 29 days ago |
52-20367 52 days ago |
52-20859 52 days |
0 |
| 31884 |
Thmoas-Guan author:Thmoas-Guan |
feat(RingTheory): definition of Gorenstein local ring |
In this PR, we gave basic definition of Gorenstein local ring and Gorestein ring and prove that they are stable under ring equiv.
---
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|
t-ring-theory |
73/0 |
Mathlib.lean,Mathlib/RingTheory/Gorenstein/Defs.lean |
2 |
12 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
nobody |
29-45487 29 days ago |
70-59088 70 days ago |
70-61383 70 days |
7 |
| 32098 |
Thmoas-Guan author:Thmoas-Guan |
feat(RingTheory): injective dimension of quotSMulTop |
In this PR, we proved for finitely generated module `M` over noetherian ring `R`, if `x` in maximal ideal being both `R`-regular and `M`-regular, `injdim_R (M/xM) + 1 = injdim_{R/(x)} (M)`.
---
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|
t-ring-theory |
454/0 |
Mathlib.lean,Mathlib/RingTheory/Regular/InjectiveDimension.lean |
2 |
9 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
nobody |
29-44904 29 days ago |
30-36638 30 days ago |
30-38418 30 days |
6 |
| 42912 |
justin-palumbo author:justin-palumbo |
feat(Topology/GDelta): a completely metrizable subspace of a T6 space is Gδ |
Adds TopologicalSpace.IsCompletelyMetrizableSpace.isGδ: a completely metrizable subspace of a T6 space is Gδ
This is one direction of a foundational fact in descriptive set theory --- the Polish subspaces of a Polish space are exactly the Gδ subsets.
The proof here is modeled on the exposition in Anush Tserunyan's descriptive set theory notes https://www.math.mcgill.ca/atserunyan/Teaching_notes/dst_lectures.pdf, with one adjustment; to make the formalization easier and avoid having multiple distance metrics instantiated at the same time, instead of directly defining open `U_n` with `s = ⋂ n, U` define them such that `s = closure s ∩ ⋂ n, U n` and then appeal to the fact closed sets are Gδ in a perfectly normal space.
---
- [x] depends on: #42896 [which fixes buggy naming present in Topology/Metrizable/CompletelyMetrizable]
This can be viewed as a companion to #42693, which - under the stronger assumption of the ambient space being Polish - establishes the other direction --- a Gδ subspace of a Polish space is itself Polish.
Together, these give Alexandrov's theorem, characterizing the Polish subspaces of an ambient Polish space as exactly the Gδ ones, and (via `Metric.PiNatEmbed.exists_embedding_to_hilbert_cube`) Polish spaces as exactly the Gδ subsets of the Hilbert cube. If and when both these PRs are committed, I anticipate adding these consequences to Topology/MetricSpace/Polish.lean
LLM usage: I wrote the initial version myself, while using Google's free "AI mode" to help me find relevant lemma names in the codebase, and afterward used helped Claude Opus to review, which led to simplifying some of the arguments. I take full responsibility for the code here
|
t-topology
new-contributor
|
91/0 |
Mathlib.lean,Mathlib/Topology/GDelta/CompletelyMetrizable.lean |
2 |
8 |
['github-actions', 'justin-palumbo', 'mathlib-dependent-issues', 'plp127'] |
nobody |
29-9702 29 days ago |
43-33800 43 days ago |
43-33818 43 days |
0 |
| 42096 |
NoahW314 author:NoahW314 |
feat(Algebra/Order/IsBotOne): add `IsBotOneClass` instances (Prod, Pi, Subsingleton) |
---
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|
t-algebra label:t-algebra$ |
15/0 |
Mathlib/Algebra/Order/IsBotOne.lean |
1 |
9 |
['NoahW314', 'github-actions', 'leanprover-radar', 'themathqueen'] |
nobody |
29-8385 29 days ago |
29-36869 29 days ago |
67-26739 67 days |
0 |
| 42914 |
lman310 author:lman310 |
feat(Algebra): add zpow_right_injective |
Add `zpow_right_injective`, stating that for a nontrivial element `a` of a
multiplicatively torsion free group, the map `n : ℤ ↦ a ^ n` is injective,
as well as the corresponding additive theorem `zsmul_left_injective` using
`to_additive`
Use the new additive theorem in `CharZero.of_isAddTorsionFree`, replacing its
dependency on the general `smul_left_injective`. This allows
`CharZero.of_isAddTorsionFree` to move from
`Mathlib.Algebra.Module.Torsion.Free` to the earlier
`Mathlib.Algebra.Module.NatInt`, resolving the existing TODO
---
Codex was used to find the appropriate file `Mathlib.Algebra.Module.NatInt` for moving `CharZero.of_isAddTorsionFree`
---
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|
t-algebra
new-contributor
label:t-algebra$ |
25/14 |
Mathlib/Algebra/Group/Torsion.lean,Mathlib/Algebra/Module/NatInt.lean,Mathlib/Algebra/Module/Torsion/Free.lean |
3 |
14 |
['felixpernegger', 'github-actions', 'lman310', 'mathlib-merge-conflicts', 'themathqueen'] |
nobody |
29-3621 29 days ago |
29-6834 29 days ago |
40-29805 40 days |
0 |
| 43363 |
BoltonBailey author:BoltonBailey |
feat(Data/Nat/Init): dvd_div_of_mul_dvd_right |
This PR adds `Nat.dvd_div_of_mul_dvd_right`, a version of `Nat.dvd_div_of_mul_dvd` with symmetry applied to the multiplication (we also make an alias of the latter to `dvd_div_of_mul_dvd_left` to mirror the API).
This PR was made with the assistance of Claude code, but I have reviewed it myself.
---
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|
t-data
LLM-generated
|
8/1 |
Mathlib/Data/Nat/Init.lean |
1 |
1 |
['github-actions'] |
nobody |
28-81348 28 days ago |
29-309 29 days ago |
29-2997 29 days |
0 |
| 43374 |
plp127 author:plp127 |
chore: remove `WittVector.mk'` |
Override the structure constructor transparencies so that duplicating a `WittVector.mk'` is no longer necessary.
---
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|
t-ring-theory |
28/19 |
Mathlib/RingTheory/WittVector/Defs.lean,Mathlib/RingTheory/WittVector/DiscreteValuationRing.lean,Mathlib/RingTheory/WittVector/Domain.lean,Mathlib/RingTheory/WittVector/Frobenius.lean,Mathlib/RingTheory/WittVector/FrobeniusFractionField.lean,Mathlib/RingTheory/WittVector/InitTail.lean,Mathlib/RingTheory/WittVector/IsPoly.lean,Mathlib/RingTheory/WittVector/Teichmuller.lean,Mathlib/RingTheory/WittVector/Truncated.lean,Mathlib/RingTheory/WittVector/Verschiebung.lean |
10 |
1 |
['github-actions'] |
nobody |
28-38306 28 days ago |
28-39306 28 days ago |
28-39122 28 days |
0 |
| 43394 |
harahu author:harahu |
feat(Order/WithBot): add `WithBot.map_lt_map_iff` |
Add `WithBot.map_lt_map_iff`, the `<` analogue of `WithBot.map_le_iff`, for use in a follow-up.
Its natural home is the `LT` section. For symmetry, we also generalize `WithBot.map_le_iff`.
Also rename `map_le_iff` to `map_le_map_iff`, since the operation appears on both sides of the relation. The bare `X_le_iff` form is used throughout Mathlib for the one-sided shape `f a ≤ b ↔ ...`.
---
Developed with help from of Claude Opus 5.
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|
t-order
LLM-generated
|
12/5 |
Mathlib/Order/Hom/WithTopBot.lean,Mathlib/Order/WithBot.lean |
2 |
1 |
['github-actions'] |
nobody |
28-31126 28 days ago |
28-33788 28 days ago |
28-33509 28 days |
0 |
| 43095 |
plp127 author:plp127 |
chore(Data/PFunctor): reduce defeq abuse around `PFunctor.W` |
Reduce the defeq abuse around `PFunctor.W` by adding some API.
---
- [x] depends on: #43056
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|
t-data
tech debt
|
88/52 |
Mathlib/Data/PFunctor/Multivariate/W.lean,Mathlib/Data/PFunctor/Univariate/Basic.lean,Mathlib/Data/QPF/Univariate/Basic.lean |
3 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
28-10793 28 days ago |
28-21623 28 days ago |
28-22181 28 days |
0 |
| 43087 |
JX-Mo author:JX-Mo |
feat(RepresentationTheory): add Hecke/Basic.lean |
This file defines `HeckeModule` of a representation `ρ` as `Hom_G(k[G ⧸ H], ρ)` and identifies it
with the space of `H`-invariants. |
new-contributor
t-algebra
label:t-algebra$ |
87/0 |
Mathlib.lean,Mathlib/RepresentationTheory/Hecke/Basic.lean |
2 |
8 |
['JX-Mo', 'Whysoserioushah', 'github-actions'] |
nobody |
27-52631 27 days ago |
38-29574 38 days ago |
38-29397 38 days |
0 |
| 43407 |
thomaskwaring author:thomaskwaring |
feat(Order/Hom/CompleteLattice): order adjoints for `{sSup/sInf}Hom` |
This PR defines the order adjoint of a `sSup` or `sInf` preserving function, which defines an equivalence `sSupHom α β ≃ sInfHom β α`, and an order isomorphism `sSupHom α β ≃o (sInfHom β α)ᵒᵈ` (plus duals).
---
I'm not 100% certain on the naming here, and would very much appreciate any advice & help with `to_dual` — an alternative option is `upperAdj` and `lowerAdj`, which `to_dual`-ises automatically.
[](https://gitpod.io/from-referrer/)
|
t-order |
69/0 |
Mathlib/Order/Hom/CompleteLattice.lean |
1 |
4 |
['SnirBroshi', 'github-actions', 'thomaskwaring'] |
nobody |
27-39580 27 days ago |
28-22954 28 days ago |
28-22675 28 days |
0 |
| 42716 |
Raph-DG author:Raph-DG |
feat(CategoryTheory): module structure on ext groups |
In this PR, we construct an R module structure on Ext A G n given a ring homomorphism (φ : R →+* End G). We also show that this module structure agrees with the existing module structure on Ext A G n in the case where the ambient category is R linear.
The main motivation for doing this is that until we have some nice comparison lemmas going between cohomology taken in the category of sheaves of modules and cohomology taken in the category of sheaf of abelian groups, I think it will be more useful to work with the cohomology of the underlying sheaf of abelian groups of a sheaf of modules. However, the category of sheaves of abelian groups is not R linear for most R, so we do not immediately inherit R-module structure on the cohomology groups from this machinery.
AI disclosure: I had AI perform some cleanups and edits to some code originally written by me, as well as having it move things into the correct files. I also had it create this branch from another branch which I decided had too much content for a single PR.
---
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|
t-algebra label:t-algebra$ |
31/0 |
Mathlib/Algebra/Homology/DerivedCategory/Ext/Linear.lean |
1 |
3 |
['github-actions', 'mathlib-bors'] |
nobody |
27-32315 27 days ago |
34-34368 34 days ago |
49-35833 49 days |
1 |
| 34910 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Acyclic): a graph is a tree iff it's acyclic and has exactly `n - 1` edges |
---
This was my white whale for quite some time. Hooray!
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
91/6 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean,Mathlib/Order/RelIso/Basic.lean |
3 |
24 |
['Rida-Hamadani', 'SnirBroshi', 'amellendijk', 'github-actions', 'jt0202', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
27-5044 27 days ago |
82-6750 82 days ago |
107-41632 107 days |
0 |
| 35561 |
Thmoas-Guan author:Thmoas-Guan |
feat(RingTheory): power series over regular local ring |
In this PR, we proved that power series over regular local ring is again regular local ring.
Same for finite multivariable power series.
---
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
71/0 |
Mathlib.lean,Mathlib/RingTheory/RegularLocalRing/PowerSeries.lean |
2 |
6 |
['github-actions', 'mathlib-bors', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
26-67216 26 days ago |
26-67979 26 days ago |
37-22273 37 days |
3 |
| 37953 |
Thmoas-Guan author:Thmoas-Guan |
feat(RingTheory/Smooth): transcendental separable extension is formally smooth |
In this PR, we proved that transcendental separable extension is formally smooth via reduction to fg cases.
---
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
141/2 |
Mathlib/RingTheory/Smooth/Field.lean |
1 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
26-47082 26 days ago |
27-15181 27 days ago |
27-14986 27 days |
4 |
| 43446 |
gasparattila author:gasparattila |
feat: `direction` of `AffineSubspace.comap` |
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
19/0 |
Mathlib/LinearAlgebra/AffineSpace/AffineSubspace/Basic.lean |
1 |
2 |
['github-actions', 'wwylele'] |
nobody |
26-46157 26 days ago |
27-10686 27 days ago |
27-10407 27 days |
1 |
| 43461 |
mcdoll author:mcdoll |
feat(Analysis/SchwartzMap): missing lemmas about inverse Fourier transform |
Adds lemmas that are already present for the Fourier transform, plus a pair of lemmas for the relation to the `L1` Fourier transform.
---
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|
t-analysis |
54/0 |
Mathlib/Analysis/Distribution/SchwartzSpace/Fourier.lean |
1 |
1 |
['github-actions'] |
nobody |
26-37319 26 days ago |
26-38688 26 days ago |
26-38409 26 days |
1 |
| 43464 |
gasparattila author:gasparattila |
fix(LinearAlgebra/Projectivization/Subspace): fix non-defeq `Min` instances |
The `CompleteLattice` instance of `Projectivization.Subspace` is currently defined using `completeLatticeOfInf`, which conflicts with the `Min` instance defined earlier. This PR fixes this by overriding the `inf` field. To avoid possible issues with `⊥` and `⊤`, they are also redefined to have good defeqs.
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
17/20 |
Mathlib/LinearAlgebra/Projectivization/Subspace.lean |
1 |
1 |
['github-actions'] |
nobody |
26-33558 26 days ago |
26-34336 26 days ago |
26-34057 26 days |
0 |
| 41633 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Paths): length of closed a walk/trail isn't `1`/`2` |
For a closed walk `p`:
- `p.length ≠ 1`
- `p.IsTrail` → `p.length ≠ 2`
- `p.IsTrail` → `p.length ≤ 2` → `p.Nil`
---
Since a circuit is a closed non-nil trail, `IsTrail.nil_of_length_le_two` is basically the contrapositive of `IsCircuit.three_le_length`, but I think this form is useful.
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|
t-combinatorics |
11/4 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Basic.lean |
2 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
26-27851 26 days ago |
26-28623 26 days ago |
77-47450 77 days |
0 |
| 41729 |
vaca22 author:vaca22 |
feat(RingTheory/DedekindDomain): add divisor group core |
Add the divisor group of a Dedekind domain as a formal-sum model, together with the additive equivalence to the multiplicative group of nonzero fractional ideals.
**Relation to what Mathlib already has.** As pointed out on Zulip, Mathlib already knows that fractional ideals factor: `FractionalIdeal.count` gives the exponent of a height-one prime, and `ClassGroup` is built from fractional ideals directly. This PR does not re-prove any of that — it reuses `count` and `finite_factors` verbatim. What it adds is the *additive* packaging:
* `IsDedekindDomain.Divisor R := HeightOneSpectrum R →₀ ℤ`, so a divisor is a finitely supported integer-valued function and one can write `D₁ + D₂`, `-D`, `D v`, and use the whole `Finsupp` API (`support`, `sum`, induction on the support);
* `FractionalIdeal.divisorEquiv`, an `AddEquiv` from `(FractionalIdeal R⁰ K)ˣ` to `Divisor R`, turning ideal multiplication into divisor addition.
The multiplicative view is the right one for the class group; the additive one is what divisor-theoretic arguments are written in, where one constantly forms `D - D'`, compares coefficients prime by prime, and does induction over `D.support`. Having both, related by a single `AddEquiv`, means neither side has to be re-derived.
**Downstream use.** This is the bottom layer of a formalization of Riemann–Roch for algebraic function fields (announced in `#AI authored projects > Riemann–Roch for function fields`): `L(D)`, `deg D`, and the statement `ℓ(D) = deg D + 1 - g + ℓ(W - D)` are all phrased in terms of additive divisors, and the degree map is defined by summing coefficients over `D.support`.
Happy to reshape the API — in particular whether `Divisor` should be an `abbrev` or a structure, and whether this belongs next to `Factorization` rather than in its own file.
AI usage: LLM-generated, disclosed per the AI policy.
|
t-ring-theory
new-contributor
LLM-generated
|
100/0 |
Mathlib.lean,Mathlib/RingTheory/DedekindDomain/Divisor.lean |
2 |
4 |
['github-actions', 'grunweg', 'vaca22'] |
nobody |
26-25681 26 days ago |
77-585 77 days ago |
78-83909 78 days |
0 |
| 42723 |
kim-em author:kim-em |
feat(GroupTheory/Perm): cycle type of a power of a cycle |
This PR computes the cycle type of a power of a cycle. If `f` has support cardinality `n` and `d = gcd n k`, then `f ^ k` is the identity when `n ∣ k`; otherwise its cycle type is `Multiset.replicate d (n / d)`. It also adds the pointwise criterion that `f ^ k` fixes any point in the support of `f` exactly when `n ∣ k`, complementing the existing `orderOf_pow` and `Equiv.Perm.IsCycle.pow_iff` API.
This contribution originated in the [Tau Ceti project](https://github.com/TauCetiProject/TauCeti), an AI-written mathematics repository; it was adapted for Mathlib with Claude Code and reviewed with OpenAI Codex, supervised by Kim Morrison.
:robot: Prepared with OpenAI Codex
|
t-group-theory
LLM-generated
TauCeti
|
73/0 |
Mathlib/GroupTheory/Perm/Cycle/Basic.lean,Mathlib/GroupTheory/Perm/Cycle/Type.lean |
2 |
1 |
['github-actions'] |
nobody |
25-80627 25 days ago |
28-67779 28 days ago |
28-67500 28 days |
0 |
| 43478 |
plp127 author:plp127 |
feat(Data/PFunctor): pointfree lemmas for map |
Prove `PFunctor.map_id` and `PFunctor.map_comp_map`, pointfree analogues of `PFunctor.id_map` and `PFunctor.map_map`. The names are chosen to match the corresponding lemmas for `LawfulFunctor`.
---
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|
t-data |
5/0 |
Mathlib/Data/PFunctor/Univariate/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
25-66919 25 days ago |
25-67664 25 days ago |
25-67527 25 days |
0 |
| 43100 |
JJYYY-JJY author:JJYYY-JJY |
feat(Analysis/Complex/CauchyIntegral): add Cauchy formula at interior points |
This generalizes the higher-order Cauchy integral formula from the center of a disc to an arbitrary point in its interior, and closes the TODO.
Co-authored-by: ajirving <29164966+ajirving@users.noreply.github.com>
---
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|
t-analysis |
58/14 |
Mathlib/Analysis/Complex/CauchyIntegral.lean |
1 |
2 |
['ajirving', 'github-actions'] |
nobody |
25-26990 25 days ago |
37-54954 37 days ago |
37-54675 37 days |
0 |
| 42370 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Maps): more `map`/`comap` API |
---
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|
t-combinatorics |
114/9 |
Mathlib/Combinatorics/SimpleGraph/Maps.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
25-3961 25 days ago |
25-4763 25 days ago |
59-49681 59 days |
1 |
| 43507 |
SnirBroshi author:SnirBroshi |
fix(Combinatorics/SimpleGraph): namespace `completeBipartiteGraph` under `SimpleGraph` |
and fix the names of `CompleteBipartiteGraph.bicoloring` and `CompleteBipartiteGraph.chromaticNumber`.
---
Moved the `namespace SimpleGraph` in `Basic.lean` to right after the definition of `SimpleGraph`, to avoid putting things outside of the namespace.
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|
t-combinatorics |
29/20 |
Mathlib/Combinatorics/SimpleGraph/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/Vertex.lean |
2 |
1 |
['github-actions'] |
nobody |
24-58165 24 days ago |
24-73065 24 days ago |
24-72786 24 days |
0 |
| 43519 |
harahu author:harahu |
chore(Order/Interval/Set/SuccPred): generalize lemmas |
We generalize five lemmas from `LinearOrder` to `Preorder` and three to `PartialOrder`.
The motivation for the `Preorder` generalizations is to enable deprecation of the almost identical results in `Mathlib/Order/SuccPred/Basic.lean`. The results in that file are stated more generally, so we need to generalize in order to subsume them properly.
---
We're aiming to keep the statements in the touched file rather than those in `SuccPred/Basic.lean` based on [this discussion](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/duplicate.20succ.20interval.20lemmas/with/621955635).
This PR has significant overlap with #23810, but does not cover `Finset/SuccPred.lean`. The touched file in this PR asks to be kept in sync with the `Finset` sibling, but there is already a lot of divergence since the `Finset` file hasn't been treated with `to_dual` yet. I therefore suggest that `Finset/SuccPred.lean` and the other sibling files be brought up to date in a subsequent PR.
The generalizations were performed by Claude Code, and thereafter reviewed and somewhat cleaned up by me.
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|
t-order |
61/19 |
Mathlib/Order/Interval/Set/SuccPred.lean |
1 |
3 |
['github-actions', 'harahu', 'vihdzp'] |
vihdzp assignee:vihdzp |
24-38281 24 days ago |
24-45323 24 days ago |
24-45044 24 days |
0 |
| 43526 |
vihdzp author:vihdzp |
chore(Topology/CantorBendixson): cleanup + more basic API |
We perform various small golfs, make some variables explicit, and add a few trivial lemmas.
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I would've suggested all of this in #37375, but somehow that PR went under my radar.
[](https://gitpod.io/from-referrer/)
|
t-topology |
58/57 |
Mathlib/SetTheory/Ordinal/FixedPointApproximants.lean,Mathlib/Topology/CantorBendixson.lean,Mathlib/Topology/DerivedSet.lean |
3 |
1 |
['github-actions'] |
nobody |
24-38111 24 days ago |
24-42088 24 days ago |
24-41809 24 days |
0 |
| 43360 |
metakunt author:metakunt |
feat(RingTheory/AdjoinRoot/MapCyclotomic): define algebra isomorphism isAdjoinRoot for roots of unity |
From #43343
Section is deliberately not exposed. I think the API developed should be enough. But if needed it can always be exposed later. |
t-ring-theory
LLM-generated
|
111/7 |
Mathlib.lean,Mathlib/RingTheory/AdjoinRoot/MapCyclotomic.lean,Mathlib/RingTheory/IsAdjoinRoot.lean |
3 |
19 |
['github-actions', 'mathlib-bors', 'metakunt', 'tb65536'] |
nobody |
24-18375 24 days ago |
24-20362 24 days ago |
26-12659 26 days |
0 |
| 43549 |
JovanGerb author:JovanGerb |
chore(Algebra/Homology/HasNoLoop): use `to_dual` |
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|
t-algebra label:t-algebra$ |
4/16 |
Mathlib/Algebra/Homology/HasNoLoop.lean |
1 |
1 |
['github-actions'] |
nobody |
24-15531 24 days ago |
24-16377 24 days ago |
24-16098 24 days |
0 |
| 41872 |
plp127 author:plp127 |
chore(NumberTheory/Niven): generalize theorems |
Move some theorems out of the Niven's theorem file and generalize them.
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|
30/19 |
Mathlib/NumberTheory/Niven.lean,Mathlib/RingTheory/IntegralClosure/IsIntegral/Basic.lean,Mathlib/RingTheory/IntegralClosure/IsIntegralClosure/Basic.lean,Mathlib/RingTheory/Polynomial/RationalRoot.lean |
4 |
4 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
23-70990 23 days ago |
23-72305 23 days ago |
75-60702 75 days |
0 |
| 43577 |
javgomzar author:javgomzar |
chore(Order/BooleanAlgebra): Add push tags |
Add push tags to some lemmas in Mathlib/Order/BooleanAlgebra/Set.lean
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|
t-order
new-contributor
|
19/4 |
Mathlib/Order/BooleanAlgebra/Set.lean |
1 |
3 |
['github-actions'] |
nobody |
23-22283 23 days ago |
23-27317 23 days ago |
23-30901 23 days |
0 |
| 43415 |
gasparattila author:gasparattila |
feat: lattice lemmas about `Submodule.toAffineSubspace` |
---
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|
t-algebra label:t-algebra$ |
55/0 |
Mathlib/LinearAlgebra/AffineSpace/AffineSubspace/Defs.lean |
1 |
1 |
['github-actions'] |
nobody |
23-18103 23 days ago |
28-9144 28 days ago |
28-8865 28 days |
0 |
| 43309 |
YaelDillies author:YaelDillies |
refactor(Geometry/Convex): make `StdSimplex` extend `Finsupp` |
Among other things, this lets users write `w.support` for `w : StdSimplex _ _` instead of `w.weights.support`. It prints the same, however.
From the Polytopes in Berlin workshop, where participants requested that they could write `w.support` instead of `w.weights.support`.
---
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|
t-convex-geometry |
6/4 |
Mathlib/Geometry/Convex/ConvexSpace/Barycenter.lean,Mathlib/Geometry/Convex/ConvexSpace/Defs.lean |
2 |
4 |
['YaelDillies', 'b-mehta', 'github-actions'] |
nobody |
23-1892 23 days ago |
28-22013 28 days ago |
28-22548 28 days |
0 |
| 43401 |
thomaskwaring author:thomaskwaring |
feat(Order): counterparts of `iSupIndep.disjoint_biSup_biSup{'}` for `sSup` |
Transfer `iSupIndep.disjoint_biSup_biSup'` and `iSupIndep.disjoint_biSup_biSup` to `sSupIndep.disjoint_sSup_sSup'` and `sSupIndep.disjoint_sSup_sSup`. Also add the supporting rewrite lemma `biSup_preimage`, roughly dual to `sSup_image`.
---
Used downstream for working with `Partition`, whose fields are stated in terms of `sSupIndep`.
[](https://gitpod.io/from-referrer/)
|
t-order |
22/0 |
Mathlib/Order/CompactlyGenerated/Basic.lean,Mathlib/Order/CompleteLattice/Basic.lean,Mathlib/Order/SupIndep.lean |
3 |
5 |
['SnirBroshi', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
22-52788 22 days ago |
22-55899 22 days ago |
27-60940 27 days |
0 |
| 43599 |
fjvga author:fjvga |
feat(MeasureTheory/Measure/FrostmanMassBound): mass distribution principle |
If a measure ν satisfies ν s ≤ (ediam s)^d for all sets of diameter ≤ ε, and ν A ≠ 0, then d ≤ dimH A. This is the standard mass distribution principle (Frostman, easy direction) appearing in every fractal geometry textbook (Falconer §4.1, Mattila §4.9).
The proof composes two existing Mathlib results:
- Measure.le_hausdorffMeasure
- le_dimH_of_hausdorffMeasure_ne_zero
References:
- K. Falconer, Fractal Geometry, §4.1
- P. Mattila, Geometry of Sets and Measures in Euclidean Spaces, §4.9
---
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|
t-measure-probability
new-contributor
|
68/0 |
Mathlib.lean,Mathlib/MeasureTheory/Measure/FrostmanMassBound.lean |
2 |
4 |
['github-actions', 'metakunt'] |
nobody |
22-52236 22 days ago |
22-63994 22 days ago |
22-64521 22 days |
0 |
| 43608 |
SnirBroshi author:SnirBroshi |
chore(Order/RelClasses): remove redundant instances |
Some instances can be synthesized but are necessary to help `to_dual`, so they are kept.
---
Also remove instance names using `to_dual none`.
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|
t-order |
31/70 |
Mathlib/Order/Quotient.lean,Mathlib/Order/RelClasses.lean,Mathlib/RingTheory/Valuation/ValuationSubring.lean,Mathlib/SetTheory/ZFC/Basic.lean |
4 |
3 |
['SnirBroshi', 'github-actions', 'leanprover-radar'] |
nobody |
22-32978 22 days ago |
22-40892 22 days ago |
22-43096 22 days |
0 |
| 43626 |
mathlib-splicebot author:mathlib-splicebot |
chore(Algebra/GroupWithZero/Basic): automated extraction from #43343 |
This PR was automatically created from PR #43343 by @metakunt via a [review comment](https://github.com/leanprover-community/mathlib4/pull/43343#discussion_r3969323130) by @metakunt. |
t-algebra label:t-algebra$ |
21/1 |
Mathlib/Algebra/GroupWithZero/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
22-26269 22 days ago |
22-29028 22 days ago |
22-28749 22 days |
1 |
| 43346 |
JadAbouHawili author:JadAbouHawili |
feat(Combinatorics/SimpleGraph/Connectivity): change IsEdgeReachable and IsEdgeConnected to accept ENat instead of Nat |
---
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|
new-contributor
t-combinatorics
|
28/6 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/EdgeConnectivity.lean |
2 |
35 |
['JadAbouHawili', 'SnirBroshi', 'github-actions'] |
nobody |
22-24246 22 days ago |
24-44973 24 days ago |
28-72268 28 days |
0 |
| 43637 |
gasparattila author:gasparattila |
feat(Topology/Sets): `ClosedIciTopology` and `OrderClosedTopology` instances for `Compacts` |
---
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|
t-topology |
41/0 |
Mathlib/Topology/Sets/VietorisTopology.lean |
1 |
1 |
['github-actions'] |
nobody |
22-18947 22 days ago |
22-20307 22 days ago |
22-20028 22 days |
0 |
| 43046 |
teorth author:teorth |
feat(Analysis/Distribution): compactly supported functions are dense in Schwartz space |
This file adds `SchwartzMap.dense_hasCompactSupport`: the compactly supported
Schwartz functions are dense in `𝓢(E, F)` (for `E` a finite-dimensional real
normed space).
The proof goes through smooth truncation, and some API for such truncations is provided.
----
This material will be used in a forthcoming PR on the prime number theorem.
AI was used to generate initial code, which was then heavily golfed and reviewed by the author. |
t-analysis |
191/0 |
Mathlib.lean,Mathlib/Analysis/Distribution/SchwartzSpace/CompactSupport.lean |
2 |
14 |
['github-actions', 'mathlib-splicebot', 'mcdoll', 'ocfnash', 'teorth'] |
nobody |
22-16737 22 days ago |
22-78235 22 days ago |
39-46798 39 days |
2 |
| 42724 |
kim-em author:kim-em |
feat(RingTheory/Polynomial/Hermite): derivatives and the generating function |
This PR adds the classical derivative identities, three-term recurrence, parity, and exponential generating function for the probabilists' Hermite polynomials. The algebraic results include `derivative_hermite`, `iterate_derivative_hermite`, `hermite_add_two`, and polynomial and evaluated forms of parity; the analytic results prove `∑' n, Hₙ(x) * tⁿ / n! = exp (x * t - t² / 2)` in complex and real `HasSum` forms, with a real `tsum` corollary. The algebraic and analytic developments live in separate files.
This contribution originated in the [Tau Ceti project](https://github.com/TauCetiProject/TauCeti), an AI-written mathematics repository; it was adapted for Mathlib with Claude Code and reviewed with OpenAI Codex, supervised by Kim Morrison.
:robot: Prepared with OpenAI Codex
|
t-ring-theory
LLM-generated
TauCeti
|
259/0 |
Mathlib.lean,Mathlib/RingTheory/Polynomial/Hermite/Derivative.lean,Mathlib/RingTheory/Polynomial/Hermite/GeneratingFunction.lean |
3 |
3 |
['b-mehta', 'github-actions', 'kim-em'] |
nobody |
21-62093 21 days ago |
28-68931 28 days ago |
28-68652 28 days |
0 |
| 43607 |
Whning0513 author:Whning0513 |
chore(Data/Set/Semiring): add simp attributes |
Mark `up_le_up` and `up_lt_up` with `@[simp]`, as requested by the existing TODO.
--------
Tests:
- `lake env lean Mathlib/Data/Set/Semiring.lean`
- `lake build Mathlib.Data.Set.Semiring`
- `lake exe runLinter Mathlib.Data.Set.Semiring` |
t-data
new-contributor
|
2/1 |
Mathlib/Data/Set/Semiring.lean |
1 |
6 |
['LLaurance', 'Whning0513', 'copilot-pull-request-reviewer', 'github-actions', 'grunweg', 'leanprover-radar'] |
nobody |
21-56540 21 days ago |
22-46709 22 days ago |
22-46430 22 days |
0 |
| 43327 |
JX-Mo author:JX-Mo |
feat(GroupTheory): add `LeftDecomposition` of double coset |
This PR is the first piece of #43286 for adding `Hecke/LeftFiniteDoubleCoset`. The main motivation is to describe the intertwining space `Hom_G(k[G/H₁], k[G/H₂])` as the free module double cosets with finite left-coset decomposition. In this PR we introduce only the left decomposition.
We deliberately design two indexing types for the left-coset decomposition: the intrinsic LeftDecomposition and the computational LeftDecompQuotient. They are equivalent via toLeftDecompositionEquiv. The first is useful for coordinate-free definitions and proofs, which saves us from abusing Quotient.out everywhere (note that we have three quotients in Hecke theory: `G/H₂, H₁/H₁∩gH₂g⁻¹, H₁\G/H₂`) and avoids "choosing representative from decomposition in the def => proving the def does not depend the choice + repeating this kind of argument for comparing different representatives in many downstream proofs" pattern. The second LeftDecompQuotient carries a fixed base point `gH₂` and remains useful for concrete convolution product computation. |
t-algebra label:t-algebra$ |
119/0 |
Mathlib.lean,Mathlib/RepresentationTheory/Hecke/LeftFiniteDoubleCoset.lean |
2 |
1 |
['github-actions'] |
nobody |
21-55393 21 days ago |
21-56102 21 days ago |
29-70201 29 days |
4 |
| 43305 |
WenrongZou author:WenrongZou |
feat(PowerSeries/Derivative): add some lemmas |
In this PR, I migrated some results from Polynomial/Derivative.lean to PowerSeries/Derivative.lean.
---
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|
t-ring-theory |
59/0 |
Mathlib/RingTheory/PowerSeries/Derivative.lean |
1 |
2 |
['WenrongZou', 'github-actions'] |
nobody |
21-53833 21 days ago |
21-54518 21 days ago |
30-24360 30 days |
0 |
| 43166 |
WenrongZou author:WenrongZou |
feat(MvPowerSeries/pderiv): add `pderiv_map` and `pderiv_rename` |
In this PR, we prove `MvPowerSeries.map` and `MvPowerSeries.rename` commute with taking derivative.
---
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|
large-import
t-ring-theory
|
29/2 |
Mathlib/RingTheory/MvPowerSeries/Derivative.lean |
1 |
1 |
['github-actions'] |
nobody |
21-52714 21 days ago |
23-75894 23 days ago |
35-44387 35 days |
1 |
| 43642 |
b1de0 author:b1de0 |
feat(MeasureTheory/Measure/ResolventTransform): finite moment expansion |
Add a finite moment expansion of `resolventTransform` with an exact integral remainder, assuming integrable moments and a nonzero evaluation point outside the support image.
---
I need this to relate matched moments to errors in kernels of the form `∫ u, (1 + w * u)⁻¹ ∂μ`. The identity is finite and does not require convergence of the corresponding infinite geometric series.
|
t-measure-probability
new-contributor
|
52/0 |
Mathlib/MeasureTheory/Measure/ResolventTransform.lean |
1 |
2 |
['github-actions'] |
nobody |
21-51040 21 days ago |
21-51748 21 days ago |
21-51580 21 days |
0 |
| 38223 |
Deicyde author:Deicyde |
feat(Geometry/Manifold): add `MfldCat`, the category of `C^n` manifolds |
Defines `MfldCat 𝕜 n`: the category of `C^n` manifolds over a field `𝕜`, in which the model with corners is allowed to vary between objects. An object bundles a model vector space `E`, a model space `H`, a model with corners `I : ModelWithCorners 𝕜 E H` and a term of `ModelWithCorners.MfldCat I n`--see #41109. This includes manifolds with boundary / corners.
For more discussion see this Zulip thread: [#PR reviews > #38223 The Category of C^n Manifolds](https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/.2338223.20The.20Category.20of.20C.5En.20Manifolds/with/587038032)
Also added: `ContMDiffMap.id_apply`, `.coe_id` and `.coe_comp` which are comparable to `ContinuousMap` API.
### Future work
- ✅ Define a Monoidal structure via product manifolds, analogous to `Manifold.Topology.Category.TopCat.Monoidal` #38560
- ✅ Define the tangent functor: `M ↦ TM`, `F ↦ F.tangentMap` from `MfldCat (n+1) 𝕜` to `MfldCat n 𝕜` #38270
- Functor `FGModuleCat 𝕜 ⥤ MfldCat 𝕜 n` sending a finite-dimensional `𝕜`-vector space to the manifold modeled on itself. Left as `TODO`.
- Define `FGModuleCat 𝕜` as an enriched category over `MfldCat n 𝕜`. Then _smooth functors_ can be realized as endofunctors on the enriched category. This is the main motivation for this construction.
---
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[](https://gitpod.io/from-referrer/)
|
t-differential-geometry
new-contributor
t-category-theory
|
210/0 |
Mathlib.lean,Mathlib/Geometry/Manifold/Category/MfldCat/Basic.lean,Mathlib/Geometry/Manifold/ContMDiffMap.lean |
3 |
63 |
['Deicyde', 'chrisflav', 'dagurtomas', 'github-actions', 'idontgetoutmuch', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'peabrainiac'] |
joelriou assignee:joelriou |
21-37235 21 days ago |
21-38113 21 days ago |
80-78073 80 days |
2 |
| 43672 |
javgomzar author:javgomzar |
chore(LinearAlgebra/Matrix): add push tags to transpose lemmas |
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
6/5 |
Mathlib/LinearAlgebra/Matrix/Defs.lean |
1 |
3 |
['github-actions'] |
nobody |
21-27639 21 days ago |
21-30173 21 days ago |
21-29894 21 days |
0 |
| 42424 |
lydia-schiff author:lydia-schiff |
feat(Order/Partition/Finpartition): transport a set partition along a type equivalence |
- Adds `Finpartition.congr` to transport a `Finpartition` along a type equivalence.
- We can use `Finpartition.map` if we have an order-iso, and the equivalence induces one via the new `Finset.congrOrderIso` which is based on `Equiv.finsetCongr`.
- Includes parts, card, refl, and round-trip lemmas.
---
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- `Equiv.finsetCongr` already gives us an equivalence of Finsets, so the new `Finset.congrOrderIso` just adds that the power-set lattice structure is also preserved.
- Includes lemmas showing that the parts are e-images of the old ones, card is preserved, and refl + round-trip for the equivalence.
- The cardinality lemma was the original motivation from some work on Stirling numbers, but I thought that `Finpartition.congr` and `Finset.congrOrderIso` seemed reusable and hopefully useful in their own right, and thought it would make a good first contribution.
- Zulip thread about naming and placement [here](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/.60Finpartition.2Econgr.60.20.E2.80.94.20naming.20.26.20placement)
- I used Claude Opus 4.8 to help draft the proofs and explore the API. I have spent several weeks making sure I understand and can justify every line and I've learned a lot which is great.
[](https://gitpod.io/from-referrer/)
|
t-order
LLM-generated
new-contributor
|
61/0 |
Mathlib/Data/Finset/Image.lean,Mathlib/Order/Partition/Finpartition.lean |
2 |
6 |
['github-actions', 'lydia-schiff', 'mathlib-merge-conflicts'] |
nobody |
21-10796 21 days ago |
21-15253 21 days ago |
47-85936 47 days |
0 |
| 43312 |
plp127 author:plp127 |
feat: pushforward of uniform spaces |
We define the pushforward of uniforms spaces and show it is left adjoint to the pullback.
---
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[](https://gitpod.io/from-referrer/)
|
t-topology |
130/2 |
Mathlib/Topology/UniformSpace/Basic.lean,Mathlib/Topology/UniformSpace/Cauchy.lean |
2 |
7 |
['github-actions', 'j-loreaux', 'peakpoint', 'plp127'] |
nobody |
21-5573 21 days ago |
21-7279 21 days ago |
28-9494 28 days |
1 |
| 40013 |
WilliamCoram author:WilliamCoram |
feat: define bounded sets and power bounded elements |
We define bounded sets, so that we can define power bounded elements in a topological ring. Using this we generalise some notions of topoligcally nilpotent elements and define a residue field.
AI usage: some proofs were initially generated with Claude code before being cleaned and/or rewritten by hand.
---
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[](https://gitpod.io/from-referrer/)
|
t-topology
LLM-generated
large-import
|
431/5 |
Mathlib.lean,Mathlib/Topology/Algebra/Bounded.lean,Mathlib/Topology/Algebra/PowerBounded.lean,Mathlib/Topology/Algebra/TopologicallyNilpotent.lean |
4 |
20 |
['ADedecker', 'CBirkbeck', 'WilliamCoram', 'github-actions', 'j-loreaux', 'mathlib-merge-conflicts', 'sfingali', 'vihdzp', 'wwylele'] |
ocfnash assignee:ocfnash |
20-77018 20 days ago |
101-27160 101 days ago |
117-9008 117 days |
0 |
| 40975 |
bwangpj author:bwangpj |
feat(LinearAlgebra): complex structures on real vector spaces |
Define complex structures,i .e. an `ℝ`-linear endomorphism `J` of a real vector space `V` with `J * J = -1`. |
t-algebra label:t-algebra$ |
93/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Complex/Structure.lean |
2 |
5 |
['bwangpj', 'github-actions', 'grunweg', 'themathqueen', 'wwylele'] |
mattrobball assignee:mattrobball |
20-77017 20 days ago |
99-85985 99 days ago |
99-85706 99 days |
0 |
| 41523 |
Harmenszoon author:Harmenszoon |
feat(Analysis/SpecialFunctions): add the Chase-Lovett diagonal reduction for binEntropy |
This PR adds the two-variable entropy inequality of Chase and Lovett ([arXiv:2211.11689](https://arxiv.org/abs/2211.11689), Lemma 2.2): for `x, y ∈ [0, 1]`,
```
x * binEntropy y + y * binEntropy x ≤ 2 * sqrt (x * y) * binEntropy (sqrt (x * y))
```
in a new leaf file `Mathlib/Analysis/SpecialFunctions/BinaryEntropy/Diagonal.lean`, together with its `negMulLog (1 - ·)` half (`Real.mul_negMulLog_one_sub_add_le`) and a `private` concavity layer for the comparison function `η u = exp u * negMulLog (1 - exp (-u))`. Two entries are added to `docs/references.bib` (Chase–Lovett arXiv:2211.11689, Boppana arXiv:2301.09664).
**Motivation.** This inequality is the reusable reduction step behind the recent entropic lower bounds for Frankl's union-closed sets conjecture (Gilmer; Alweiss–Huang–Sellke; Chase–Lovett; Sawin; Boppana): it reduces two-variable inequalities of Boppana type `K * (x * h y + y * h x) ≤ h (x * y)` to one-variable inequalities `2 * K * t * h t ≤ h (t ^ 2)`. `Mathlib/Analysis/SpecialFunctions/BinaryEntropy.lean` currently contains calculus basics for `binEntropy` only, and no inequality of this family; I checked current master for collisions before opening this. A kernel-checked downstream application — a complete Lean formalization of the union-closed lower bound at the constant `(3 - √5)/2` that uses exactly this reduction — is public at https://github.com/demonstrandum-research/artifacts (the `UCFrankl` development), which I maintain.
**Proof shape** (one page of calculus): substituting `x = exp (-u)`, the inequality becomes midpoint concavity of `η` on `[0, ∞)`; the `negMulLog (x * y)` parts of the two sides cancel exactly, the `negMulLog (1 - ·)` parts transfer to `η` via the identity `x * η (-log x) = negMulLog (1 - x)`, and `η'' ≤ 0` reduces to `log t ≤ t - 1`. Stating `η` through `negMulLog` absorbs the `0 * log 0` boundary behaviour, so no separate edge-case argument is needed at `x = 1`.
**Design notes / open questions for reviewers.**
- Hypotheses are stated as `0 ≤ x`/`x ≤ 1` pairs rather than `x ∈ Set.Icc 0 1`; happy to convert if the membership form is preferred.
- The `η`-machinery is `private`; it could be exposed if judged independently useful.
- File placement: a new `BinaryEntropy/Diagonal.lean` leaf keeps the import footprint of `BinaryEntropy.lean` unchanged (the proof needs `Analysis.Convex.Deriv`); merging into the main file is also possible if preferred.
- Naming: `mul_binEntropy_add_mul_binEntropy_le` / `mul_negMulLog_one_sub_add_le` follow the conclusion-based convention but I am glad to rename.
**AI disclosure** (per the [mathlib AI policy](https://leanprover-community.github.io/contribute/index.html)): the Lean code in this PR was generated by LLM agents (Anthropic's Claude, running in an agent pipeline that I operate under the name Demonstrandum), and was then compile-verified against mathlib and reviewed by me. This PR description was also prepared with AI assistance and reviewed by me. The proof is elementary calculus as summarized above; I understand it and take full responsibility for the contribution. I am adding the `LLM-generated` label as required. The downstream `UCFrankl` development linked above (kernel-checked, axioms `[propext, Classical.choice, Quot.sound]` only) is the evidence that the lemma carries real weight in applications.
---
- [x] depends on: nothing
|
t-analysis
LLM-generated
new-contributor
|
227/0 |
Mathlib.lean,Mathlib/Analysis/SpecialFunctions/BinaryEntropy/Diagonal.lean,docs/references.bib |
3 |
5 |
['Harmenszoon', 'Timeroot', 'github-actions'] |
nobody |
20-76115 20 days ago |
84-64919 84 days ago |
84-64640 84 days |
0 |
| 43621 |
Whning0513 author:Whning0513 |
feat(Data/List): add basic API for toChunks |
Adds basic API lemmas for `List.toChunks`: flattening recovers the input, chunks are nonempty sublists, and their lengths are bounded by the chunk size.
This addresses the `Data/List/Basic: SP: toChunks` item in #7987.
Tests:
- `lake env lean Mathlib/Data/List/ToChunks.lean`
- `lake build Mathlib.Data.List.ToChunks`
- `lake exe runLinter Mathlib.Data.List.ToChunks`
AI use: OpenAI Codex was used to rebase the branch, run the checks above, and submit this pull request. The code and proofs were written and reviewed by the author. |
t-data
new-contributor
|
119/0 |
Mathlib.lean,Mathlib/Data/List/ToChunks.lean |
2 |
8 |
['copilot-pull-request-reviewer', 'github-actions', 'theebayuser'] |
nobody |
20-61835 20 days ago |
22-31665 22 days ago |
22-31386 22 days |
0 |
| 40050 |
ReemMelamed author:ReemMelamed |
feat(Algebra/Group/GreensRelations): add definitions for Green's relations |
This PR introduces the foundational definitions for Green's relations (L, R, H, D, and J) on semigroups.
This is the first in a series of PRs aimed at formalizing Green's relations for semigroups.
[Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Formalization.20of.20Green.27s.20Relations.20for.20semigroups/with/598557876)
---
- [x] depends on: #40843
|
t-algebra
new-contributor
label:t-algebra$ |
505/0 |
Mathlib.lean,Mathlib/Algebra/Group/GreensRelations/Basic.lean |
2 |
33 |
['ReemMelamed', 'YaelDillies', 'YanYablonovskiy', 'github-actions', 'mathlib-bors', 'mathlib-dependent-issues'] |
nobody |
20-40196 20 days ago |
20-40962 20 days ago |
40-31833 40 days |
1 |
| 31981 |
jsm28 author:jsm28 |
feat(Geometry/Euclidean/Incenter): `tangentSet` and `tangentsFrom` lemmas |
Add lemmas relating the faces of a simplex to `tangentSet` and `tangentsFrom` for an exsphere, in particular for a triangle that any two side lines are the `tangentsFrom` their shared vertex to the insphere or any exsphere.
---
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- [x] depends on: #31733
- [x] depends on: #31891
- [x] depends on: #31892
- [ ] depends on: #31893
- [x] depends on: #31978
- [x] depends on: #31979
- [x] depends on: #31980
- [x] depends on: #32296
[](https://gitpod.io/from-referrer/)
|
t-euclidean-geometry |
95/0 |
Mathlib/Geometry/Euclidean/Incenter.lean |
1 |
17 |
['Parcly-Taxel', 'github-actions', 'jsm28', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'pepamontero', 'wwylele'] |
nobody |
20-36749 20 days ago |
32-41674 32 days ago |
34-21440 34 days |
1 |
| 43680 |
Jun2M author:Jun2M |
feat(Topology): add path interiors and connectivity lemmas |
This PR is part of PR chain leading to definition of drawing of graph on topological space. This PR introduces preliminary unit interval/path results needed for the later PRs.
In particular, this PR
* Defines `Path.interior` as the image of the open parameter interval.
* Proves that path ranges and nonempty open subintervals of the unit interval are path-connected
* Adds endpoint lemmas for analyzing path interiors.
Some of the lemmas in the PR chain was initially proven with codex then manually golfed.
---
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|
t-topology |
39/0 |
Mathlib/Analysis/Convex/PathConnected.lean,Mathlib/Topology/Connected/PathConnected.lean,Mathlib/Topology/Path.lean,Mathlib/Topology/UnitInterval.lean |
4 |
3 |
['github-actions', 'mathlib-bors', 'vlad902'] |
nobody |
20-27455 20 days ago |
20-29337 20 days ago |
21-20865 21 days |
2 |
| 43702 |
theebayuser author:theebayuser |
feat(LinearAlgebra/AffineSpace): add Varignon's theorem |
Hello, this PR introduces Varignon's theorem.
Varignon's theorem states that the midpoints of the sides of a quadrilateral form a parallelogram. More precisely, `midpoint_midpoint_midpoint_rotate` states: the two diagonals of the midpoint quadrilateral have the same midpoint.
This PR was written with AI assistance (Claude Code)
|
t-algebra
new-contributor
LLM-generated
label:t-algebra$ |
22/2 |
Mathlib/LinearAlgebra/AffineSpace/Midpoint.lean,docs/1000.yaml |
2 |
7 |
['github-actions', 'theebayuser', 'wwylele'] |
nobody |
20-21213 20 days ago |
20-67285 20 days ago |
20-67006 20 days |
0 |
| 42313 |
deancureton author:deancureton |
feat(RingTheory): embDomain composition and range, Laurent series expansion |
Add to the Hahn series API:
- `embDomain_embDomain` (composition of domain embeddings)
- `mem_range_embDomain_iff` (range of `embDomain` is characterized by support containment)
Add to the Laurent series API:
- the expansion ring endomorphism `LaurentSeries.expand` with its monomial and `orderTop` lemmas
- follows the pattern of `Polynomial.expand`, `MvPolynomial.expand`, `PowerSeries.expand`
- its opposite `LaurentSeries.contract`, with the decomposition of a Laurent series by exponent residues mod `n` (`sum_single_mul_expand_contract`) and its uniqueness (`contract_eq_of_sum_eq`)
- `exists_ofPowerSeries_eq_of_orderTop_nonneg`
This is the first of a series of PRs formalizing Puiseux series and Puiseux's theorem (entry 41 of Freek Wiedijk's 100 theorems list). |
t-ring-theory
new-contributor
LLM-generated
|
116/0 |
Mathlib/RingTheory/HahnSeries/Basic.lean,Mathlib/RingTheory/LaurentSeries.lean |
2 |
16 |
['deancureton', 'github-actions', 'wwylele'] |
nobody |
20-14570 20 days ago |
49-80215 49 days ago |
61-83671 61 days |
0 |
| 41241 |
intgrah author:intgrah |
feat(Order/Category): cartesian closed and distributive structure on PartOrd and Preord |
Give `PartOrd` and `Preord` `CartesianMonoidalCategory`, `MonoidalClosed`, and `IsCartesianDistributive` instances.
---
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|
new-contributor
t-order
|
267/0 |
Mathlib.lean,Mathlib/Order/Category/PartOrd/CartesianClosed.lean,Mathlib/Order/Category/PartOrd/Colimits.lean,Mathlib/Order/Category/PartOrd/Reflective.lean,Mathlib/Order/Category/Preord/CartesianClosed.lean,Mathlib/Order/Category/Preord/Colimits.lean,Mathlib/Order/Category/Preord/Reflective.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean |
8 |
7 |
['github-actions', 'intgrah', 'thomaskwaring'] |
nobody |
20-13512 20 days ago |
21-81793 21 days ago |
92-31342 92 days |
0 |
| 42461 |
Ganton23 author:Ganton23 |
feat(Probability/Quantile): the lower quantile function of a real cdf |
This adds `ProbabilityTheory.lowerQuantile`, the lower quantile function
(the generalized inverse of a cdf-like monotone function on ℝ), with the
order core, the Galois connection under right-continuity, the plug-in
identity, left-continuity in the level, uniqueness, equivariance under
order isomorphisms, and the specialization to `cdf μ` where both standing
side conditions become theorems.
---
This adds the LOWER QUANTILE FUNCTION, that is the generalized inverse of a cdf-like
monotone function on `ℝ`, in a new file `Mathlib/Probability/Quantile.lean` beside
`Mathlib/Probability/CDF.lean`.
### What it adds
`ProbabilityTheory.quantileSet F p = {x | p ≤ F x}` and
`ProbabilityTheory.lowerQuantile F p = sInf (quantileSet F p)`, with:
* the order core: monotonicity in the level, and the two `csInf` bounds;
* attainment `p ≤ F (lowerQuantile F p)` under monotonicity and right continuity;
* the Galois connection `lowerQuantile F p ≤ x ↔ p ≤ F x`, and its strict form;
* the plug-in identity `F (lowerQuantile F p) = p` under continuity;
* left continuity of the quantile in the level;
* uniqueness under strict monotonicity, and existence on an interval via the IVT;
* equivariance under an `OrderIso ℝ ℝ`, in both functional and pushforward form;
* the specialization to `cdf μ` for a probability measure at `0 < p < 1`, where both
standing side conditions become theorems.
### Why
`sInf` of an empty or unbounded-below set is Lean's junk value `0`. A quantile lemma
stated without `Set.Nonempty` and `BddBelow` is therefore either false or accidentally
true of the junk value, and a reader cannot tell which. Every general lemma here carries
both by name, and the cdf section discharges both from the limits of the cdf at `atBot`
and `atTop`. That discharge is what makes the general statements non-vacuous.
Three lemmas record that the continuity hypotheses are load bearing, stated as
`¬ ∀ ...` rather than as existentials. An existential says a bad case exists; the negated
universal says the weakened lemma is FALSE, which is what a reader asking "is this
hypothesis decorative" actually wants. The witness is a monotone step function that is
left continuous at its jump: monotone, bounded, well behaved quantile set, and not right
continuous, which alone breaks attainment, the forward half of the adjunction, and the
plug-in identity.
`not_galoisConnection_lowerQuantile_cdf` is included deliberately as a NEGATIVE result.
The bundled `GaloisConnection` packaging quantifies over all levels, and a cdf has an
unbounded quantile set at level `0` and an empty one at level `2`, so the bundled
conclusion is false for every probability measure. Reaching the cdf case would need the
level indexed by the open unit interval as a subtype. I would rather state that boundary
than let a reader discover it.
### What it depends on
`Mathlib.Probability.CDF` for the cdf and its monotonicity and limits;
`Mathlib.Topology.Order.IntermediateValue`; `Mathlib.Topology.Order.MonotoneContinuity`;
`Mathlib.Order.ConditionallyCompleteLattice.Indexed`. No new axioms: every declaration
reports exactly `propext`, `Classical.choice`, `Quot.sound`.
### Prior art, named because a reviewer will find it
`Mathlib/Order/SemiconjSup.lean` defines `IsOrderRightAdjoint f g := ∀ y, IsLUB
{x | f x ≤ y} (g y)`, built by `isOrderRightAdjoint_csSup` as a supremum over a
SUB-level set. That is the order-dual construction, the UPPER generalized inverse; the
two functions are different and neither definition unfolds to the other. Its file is
about circle homeomorphisms, which is why searching for "quantile" does not find it.
`GaloisConnection` is used rather than reinvented.
There is no existing `quantile` in mathlib: zero case-insensitive hits across the tree.
`median` exists but is the median of a simplex in affine geometry, a different word in a
different subject.
### Generality, stated rather than left to review
Everything is at `F : ℝ → ℝ`. Running mathlib's environment linters locally flagged
`[IsProbabilityMeasure μ]` as unused in nine cdf-facing declarations. Five (the two
side-condition dischargers and the three negative results) are generalized: they now
hold for the cdf of any measure, since the cdf's limit lemmas hold unconditionally.
Four convenience wrappers (`lowerQuantile_cdf_le_iff`, `lowerQuantile_cdf_mono`,
`le_cdf_lowerQuantile`, `continuousWithinAt_lowerQuantile_cdf_Iic`) KEEP the instance
under `@[nolint unusedArguments]`, deliberately: for a non-probability measure,
`cdf μ` is a normalizing construction, so the generalized statements would be
accidentally true of the construction rather than of the object the name suggests,
which is the failure mode the Why section above exists to avoid. If reviewers prefer
the fully general forms, I am happy to drop the instances; the proofs do not use
them. Two declarations (`cdf_map_orderIso`, `lowerQuantile_cdf_map`) consume the
instance and keep it.
The ORDER CORE generalizes to a `ConditionallyCompleteLinearOrder` domain with a
`Preorder` codomain with proof terms UNCHANGED, and I have checked that rather than
assumed it. Two caveats found while checking, which is why I would rather do it as a
follow-up than fold it in here:
* `apply_lt_of_lt_lowerQuantile` needs a LINEAR codomain, since it goes from
`¬ (p ≤ F x)` to `F x < p`.
* `exists_apply_lt_of_bddBelow` is FALSE without `NoMinOrder` on the domain. Over `ℝ` it
is proved by exhibiting `b - 1`; on a domain with a least element, a constant `F` at
level `p` has a quantile set that is everything, is bounded below, and has no point
with `F a < p`.
The TOPOLOGICAL layer does not transcribe: `tendsto_lowerQuantile_nhdsLT` takes the
midpoint `(c + q) / 2`, which uses the field structure, and a general version needs
`DenselyOrdered`. Happy to do the generalization in a follow-up, or in this PR if a
reviewer prefers it landed general the first time.
### Open, and not claimed
The UPPER quantile and the lemmas relating the two; the probability integral transform;
`Measure.map` along a general measurable monotone function rather than an order
isomorphism; and a `GaloisConnection` packaging indexed by the open unit interval that
would reach the cdf case.
### AI disclosure
- Lean definitions and proofs generated with the assistance of AI agents (Utilized Anthropic's Claude, operating through Claude Code). Done over numerous working sessions wherein I, Gabriel Anton, directed, reviewed and authorized each session.
- Every declaration is kernel-checked; Zero sorry, and everyone of the 48 submitted declarations reports exactly [Propext, Classical.choice, Quot.sound] under transitive #print axioms; clean lake build against current master.
-Ran aggressive adversarial review process on each agents work with a separate agent; A hostile-reviewer pass, refutation lemmas proving the hypotheses are load bearing, and a certified negative result for the packaging that does not work. The corrections forced by this process are in the file and history.
- Ran Mathlib's environment linters BEFORE submission; their finding (Unused in nine declarations) was adopted, which produced the generalization-versus-nolint split described in the PR body.
- Commit messages are terse factual summaries; PR body was drafted by agents and reviewed and edited by me, this disclosure is also written by me, Gabriel Anton.
- I will apply the LLM-Generated label (by comment) and I will answer review questions myself.
[](https://gitpod.io/from-referrer/)
|
t-measure-probability
LLM-generated
new-contributor
|
603/0 |
Mathlib.lean,Mathlib/Probability/Quantile.lean |
2 |
3 |
['Ganton23', 'github-actions'] |
nobody |
20-12413 20 days ago |
20-13143 20 days ago |
22-1781 22 days |
0 |
| 42844 |
plp127 author:plp127 |
refactor(Logic/Hydra): cleanup file |
Change the definition of `CutExpand` to be more correct. Rename some theorems and add some theorems.
---
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|
t-logic |
101/50 |
Mathlib/Logic/Hydra.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
20-12335 20 days ago |
20-12946 20 days ago |
45-80944 45 days |
0 |
| 42165 |
bocowgill author:bocowgill |
feat(Probability/HasCondDistrib): characterize independence using conditional distributions |
This PR uses conditional distributions to characterize independence of two random variables.
It adds eight public declarations to `Mathlib/Probability/HasCondDistrib.lean`, which is the only file modified:
- `indepFun_iff_hasCondDistrib_const_of_hasLaw`: characterizes independence using a constant conditional-distribution kernel when the laws are specified.
- `indepFun_iff_hasCondDistrib_const`: specializes this characterization to the marginal laws `P.map X` and `P.map Y`.
- `IndepFun.hasCondDistrib_const`: the forward implication of the preceding equivalence.
- `HasCondDistrib.indepFun_of_const`: the reverse implication.
- `hasCondDistrib_condDistrib`: shows that the regular conditional distribution `condDistrib Y X P` satisfies `HasCondDistrib`.
- `hasCondDistrib_iff_condDistrib_ae_eq`: characterizes finite kernels satisfying `HasCondDistrib` by almost-everywhere equality with `condDistrib`.
- `indepFun_iff_condDistrib_ae_eq_const_of_hasLaw`: characterizes independence by almost-everywhere equality of `condDistrib` with the constant kernel at the specified law.
- `indepFun_iff_condDistrib_ae_eq_const`: specializes this characterization to the marginal laws.
The PR adds no new file and makes no change to the root `Mathlib.lean` imports.
---
### Motivation
These results provide a basic building block for formalizing randomized experiments and causal identification. The main result provides a starting point for later ignorability and conditional-independence results in causal inference.
### LLM disclosure
For theorem planning and Lean implementation, I substantially used Codex by OpenAI. I also used it for suggestions around naming and documentation, for iterating on the proofs, and for validating my commits locally.
I manually searched for the best locations and earlier results to build upon. I personally reviewed both the mathematical statements and Lean code (line-by-line), as well as the suggestions around naming and API choices. I also reviewed and confirmed that I can explain each step of the results (both Mathematics and Lean syntax).
To validate the change, I directly compiled the modified file and ran a targeted build. I also ran the style linter, and completed a full `lake build` and a full `lake test`.
Please note: This is one of my first mathlib contributions. I welcome corrections or suggestions about all aspects of this PR. I'm prepared to revise it as necessary, and to learn from the review.
|
t-measure-probability
LLM-generated
new-contributor
maintainer-merge
|
68/3 |
Mathlib/Probability/HasCondDistrib.lean |
1 |
33 |
['CoolRmal', 'EtienneC30', 'bocowgill', 'github-actions', 'leanprover-radar'] |
nobody |
19-83198 19 days ago |
42-68023 42 days ago |
65-59636 65 days |
0 |
| 43476 |
yuanyi-350 author:yuanyi-350 |
feat(Topology/CoveringDimension): define Lebesgue covering dimension |
|
t-topology |
394/0 |
Mathlib.lean,Mathlib/Topology/CoveringDimension/Basic.lean |
2 |
1 |
['github-actions'] |
nobody |
19-71360 19 days ago |
19-72079 19 days ago |
19-72502 19 days |
0 |
| 39875 |
mkaratarakis author:mkaratarakis |
refactor(NumberField/House): expose Siegel lemma infrastructure |
Add new theorems for house of algebraic integer, expose Siegel's lemma infrastructure and rename the private basis-matrix bound to `basisMatrixInvSupNorm`, make `house` reducible, and adjust `exists_ne_zero_int_vec_house_le`. This changes are required for #39874.
---
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|
47/17 |
Mathlib/NumberTheory/NumberField/House.lean |
1 |
6 |
['github-actions', 'mathlib-merge-conflicts', 'mkaratarakis', 'tb65536'] |
nobody |
19-20309 19 days ago |
21-80490 21 days ago |
85-45588 85 days |
5 |
| 43108 |
tb65536 author:tb65536 |
chore(GroupTheory/Solvable): to_additivize file |
This PR to_additivizes `GroupTheory/Solvable.lean`.
---
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|
t-algebra
t-group-theory
label:t-algebra$ |
84/23 |
Mathlib/GroupTheory/Abelianization/Defs.lean,Mathlib/GroupTheory/IsPerfect.lean,Mathlib/GroupTheory/Solvable.lean |
3 |
4 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
19-17980 19 days ago |
19-20695 19 days ago |
33-32613 33 days |
0 |
| 41871 |
stalex444 author:stalex444 |
feat(RingTheory/IntegralClosure): integer powers of integral elements are integral |
This PR adds IsIntegral.zpow and its subalgebra-membership analogs (zpow_mem, zpow_mem_adjoin, Algebra.IsIntegral.zpow_mem), generalizing the existing inv lemmas from the −1 power to all integer powers.
This Lean code was drafted with the help of AI (Claude Code), I reviewed it and built it locally against the current master.
---
Happy to adjust the placement or the type-variable names.
---
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory
LLM-generated
new-contributor
|
20/0 |
Mathlib/RingTheory/IntegralClosure/IsIntegralClosure/Basic.lean |
1 |
11 |
['SnirBroshi', 'github-actions', 'stalex444'] |
nobody |
19-16845 19 days ago |
76-12860 76 days ago |
76-12581 76 days |
0 |
| 40973 |
certik author:certik |
feat: multiplicative automatic continuity on ℝ |
This PR adds the multiplicative companion of the existing additive automatic-continuity theorem `AddMonoidHom.continuous_of_measurable`. See the git commit descriptions for all the details.
Depends on https://github.com/leanprover-community/mathlib4/pull/40976.
AI usage disclosure: I used Claude Opus 4.8 to create the theorems and proofs in my own Lean project, then extracted them into this PR since I think they are general purpose and would be useful for other people. I iterated on the proofs until they are as simple as I could get them. I am new to Lean, so if something should be reworked, please let me know. Lean is amazing, I was able to use it to prove various theorems and check my derivations. This is my little contribution back to the project. |
t-measure-probability
LLM-generated
new-contributor
|
159/0 |
Mathlib.lean,Mathlib/MeasureTheory/Measure/Haar/AutomaticContinuity.lean |
2 |
10 |
['certik', 'github-actions', 'mathlib-merge-conflicts', 'wwylele'] |
urkud assignee:urkud |
18-77017 18 days ago |
96-54544 96 days ago |
98-77962 98 days |
0 |
| 43154 |
SnirBroshi author:SnirBroshi |
chore(Order/Bounded): deprecate all the theorems in this deprecated module |
This was deprecated in #38146, but downstream `import Mathlib` users don't see the warning.
---
This doesn't warn the user, but `Set.bounded_lt_Iio` will be gone soon:
```lean
import Mathlib
theorem foo : Set.Bounded (· < ·) (Set.Iio 0) :=
Set.bounded_lt_Iio 0
```
The warning does appear if we minimize the imports.
<!-- Your PR title will become the first line of the commit message.
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[](https://gitpod.io/from-referrer/)
|
t-order |
79/4 |
Mathlib/Order/Bounded.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
18-74259 18 days ago |
18-75010 18 days ago |
30-53185 30 days |
0 |
| 43766 |
hawkrobe author:hawkrobe |
feat(LinearAlgebra/SymmetricAlgebra): functoriality |
---
Add `SymmetricAlgebra` functoriality (parallel to `TensorAlgebra` and `ExteriorAlgebra`)
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
31/0 |
Mathlib/LinearAlgebra/SymmetricAlgebra/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
18-49053 18 days ago |
18-50570 18 days ago |
18-50291 18 days |
0 |
| 43767 |
hawkrobe author:hawkrobe |
feat(LinearAlgebra/SymmetricAlgebra): symmetric algebra is graded |
---
I also followed `TensorAlgebra` and `ExteriorAlgebra` here.
I used Claude to initialize the proof.
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
55/0 |
Mathlib.lean,Mathlib/LinearAlgebra/SymmetricAlgebra/Grading.lean |
2 |
1 |
['github-actions'] |
nobody |
18-47673 18 days ago |
18-48452 18 days ago |
18-48173 18 days |
0 |
| 43104 |
elazarg author:elazarg |
feat(InformationTheory/KullbackLeibler): finite Kullback-Leibler divergence |
Add finite-sum formulas for `InformationTheory.klDiv` on finite measurable spaces, including equal-mass and probability-measure specializations and formulas for sums of weighted Dirac measures. Provide both `ℝ≥0∞`-valued and `toReal` versions.
Supporting API includes a formula for the Radon–Nikodym derivative at points of nonzero reference-measure mass, a finite-sum formula for the integral of the log-likelihood ratio, and singleton-mass and absolute-continuity lemmas for sums of weighted Dirac measures.
---
Continuing #42584, another part of https://github.com/elazarg/kraft.
Following review, this uses the existing `klDiv` instead of introducing `klDivFin`. The `toReal` formulas connect it to real-valued sums in downstream code.
For measures of unequal mass, the formulas retain the correction term `ν.real univ - μ.real univ`.
The KL formulas are in `KullbackLeibler/Basic.lean`; the supporting lemmas are in the corresponding measure-theory modules.
[](https://gitpod.io/from-referrer/)
|
t-measure-probability
new-contributor
LLM-generated
|
100/1 |
Mathlib/InformationTheory/KullbackLeibler/Basic.lean,Mathlib/MeasureTheory/Measure/Decomposition/RadonNikodym.lean,Mathlib/MeasureTheory/Measure/Dirac/Basic.lean,Mathlib/MeasureTheory/Measure/LogLikelihoodRatio.lean |
4 |
9 |
['EtienneC30', 'elazarg', 'github-actions', 'vlad902'] |
EtienneC30 assignee:EtienneC30 |
18-10001 18 days ago |
18-10001 18 days ago |
26-77800 26 days |
0 |
| 43781 |
vlad902 author:vlad902 |
chore(AffineSpace/Independent): remove two `backward.isDefEq.respectTransparency` |
---
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- Nat.bit1_add_bit1
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-->
[](https://gitpod.io/from-referrer/)
|
t-algebra
tech debt
label:t-algebra$ |
3/7 |
Mathlib/LinearAlgebra/AffineSpace/Independent.lean |
1 |
1 |
['github-actions'] |
nobody |
18-7247 18 days ago |
18-9608 18 days ago |
18-9329 18 days |
0 |
| 42363 |
ghseeli author:ghseeli |
feat(Combinatorics): card_le_card_biUnion_of_card_le_card |
This PR contributes a lemma to combinatorics, `card_le_card_biUnion_of_card_le_card`. this is a set theoretic corollary of a double counting result proved for bipartite graphs (`Finset.sum_card_bipartiteAbove_eq_sum_card_bipartiteBelow`). This result was needed for our Latin Square PR https://github.com/leanprover-community/mathlib4/pull/36698. This result was proved in less general terms in that PR, but is independent of Latin Square considerations and so we have generalized and moved it into this file.
---
<!-- Your PR title will become the first line of the commit message.
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
38/0 |
Mathlib/Combinatorics/Enumerative/DoubleCounting.lean |
1 |
16 |
['cjrl', 'github-actions', 'vlad902', 'wwylele'] |
nobody |
18-574 18 days ago |
47-76715 47 days ago |
60-67954 60 days |
1 |
| 43773 |
justus-springer author:justus-springer |
feat(Algebra/Group/Pointwise/Set/SelfInv): a few more lemmas about self-inverse sets |
`IsSelfInv` and `IsSelfNeg` got added recently (#42611). This is a follow-up that adds just a few more lemmas, which will get used to refactor a few in #43774.
---
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git commit --author="Author Name <author@email.com>" --allow-empty -m "add Author Name as coauthor"
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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
58/0 |
Mathlib.lean,Mathlib/Algebra/Group/Pointwise/Finset/SelfInv.lean,Mathlib/Algebra/Group/Pointwise/Set/SelfInv.lean |
3 |
3 |
['eric-wieser', 'github-actions'] |
nobody |
17-52099 17 days ago |
18-32593 18 days ago |
18-32314 18 days |
1 |
| 42487 |
bocowgill author:bocowgill |
feat(Algebra/BigOperators/Group/Finset/Powerset): add nested powersetCard identities |
This PR adds product and sum identities for nested collections of fixed-cardinality subsets. For `r ≤ k`, each `r`-element subset of a finite set `s` is contained in exactly
`Nat.choose (s.card - r) (k - r)`
of the `k`-element subsets of `s`. Thus, a sum over the `r`-element subsets of every `k`-element subset reduces to this multiplicity, times a single sum over `s.powersetCard r`. The product version is the analogous power identity.
The proof exchanges the order of the two big operators using `Finset.prod_comm'`. It then counts each fiber with `Finset.card_filter_powersetCard_subset`. The additive identities are generated with `to_additive`. The PR also provides the useful elementwise specialization `r = 1`.
**Motivation**: These results provide reusable weighted double-counting tools for finite combinatorics. They are useful in arguments about uniform set systems, incidence relations, and sums or products over fixed-cardinality subsets.
---
### LLM disclosure
For theorem planning and Lean implementation, I used OpenAI Codex substantially. I also used Codex to search Mathlib and open PRs for related results, suggest naming and documentation, iterate on the proofs, audit import dependencies, and validate the commits locally.
I personally reviewed the mathematical statements and Lean code line-by-line, including the naming and API choices. I also confirmed that I can explain each step of the proofs.
For the current revision, I ran a targeted build of `Mathlib.Algebra.BigOperators.Group.Finset.Powerset`, the style and environment linters, and `git diff --check`. I also inspected the generated additive declarations and axiom dependencies, and tested an alternative proof using explicit incidence finsets. The complete GitHub CI suite passes.
This is one of my earliest Mathlib contributions. I welcome corrections and suggestions, and I am prepared to revise the PR and learn from the review. |
t-algebra
new-contributor
LLM-generated
label:t-algebra$ |
27/0 |
Mathlib/Algebra/BigOperators/Group/Finset/Powerset.lean |
1 |
17 |
['bocowgill', 'github-actions', 'pepamontero'] |
nobody |
17-47451 17 days ago |
17-69249 17 days ago |
56-10927 56 days |
0 |
| 43792 |
justus-springer author:justus-springer |
chore(Algebra/Group/Pointwise/Set/SelfInv): put into lemmas into Set namespace |
Move all lemmas about self inverse sets into the `Set` namespace. This was suggested by @eric-wieser in #42611. Dot-notation is still accessible using the [DNRO](https://juliahimmel.de/blog/an-underappreciated-lean-feature/) feature.
`to_additive` needs a hint in order to translate into the correct namespace. I also fixed the to_additive of `IsSelfInv.prod` (this used to be translated to `IsSelfInv.sum` instead of `IsSelfNeg.prod`.
---
<!-- Your PR title will become the first line of the commit message.
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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
8/1 |
Mathlib/Algebra/Group/Pointwise/Set/SelfInv.lean |
1 |
5 |
['eric-wieser', 'github-actions', 'justus-springer', 'tb65536'] |
nobody |
17-40249 17 days ago |
17-48723 17 days ago |
17-48506 17 days |
0 |
| 40782 |
tb65536 author:tb65536 |
feat(Combinatorics/SimpleGraph/Coloring/EdgeLabeling): add predicates for monochromatic subsets |
This PR adds predicates for monochromatic subsets, in preparation for Ramsey theory.
Co-authored-by: Bhavik Mehta <bhavikmehta8@gmail.com>
---
<!-- Your PR title will become the first line of the commit message.
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
143/0 |
Mathlib/Combinatorics/SimpleGraph/Coloring/EdgeLabeling.lean |
1 |
28 |
['SnirBroshi', 'YaelDillies', 'b-mehta', 'github-actions', 'tb65536'] |
nobody |
17-9768 17 days ago |
17-10569 17 days ago |
93-51904 93 days |
0 |
| 42186 |
marcelolynch author:marcelolynch |
refactor(Tactic/Linter/MinImports): make the minImports linter stateful |
This PR rewrites the `minImports` linter as a stateful linter (leanprover/lean4#14357). The linter behavior does not change. The existing tests in `MathlibTest/MinImports.lean` pass without changes. The PR adds one test section that sets `Elab.async true` explicitly: it checks that the linter accumulates imports correctly under parallel elaboration, and that `#import_bumps` keeps parallel elaboration on.
The old implementation kept the cumulative imports in a global `IO.Ref`. The ref is not safe under parallel elaboration. For this reason, `#import_bumps` set `Elab.async false` for the rest of the file. The new implementation keeps the same data in the linter state. The elaborator threads the state through the commands of the file, and the data stays correct under parallel elaboration. `#import_bumps` does not disable `Elab.async` anymore.
Implementation notes:
- The `#reset_min_imports` elaborator does nothing. The linter detects the command syntax and clears its own state. The reset works also when the linter option is off, as before.
- The post phase removes `set_option ... in` prefixes with `withSetOptionIn` from core. leanprover/lean4#14581 generalizes the result type of that function, so it accepts the phase of a stateful linter and not only a `CommandElab`. The generalization ships in v4.34.0-rc1.
- The state type `ImportState` and the linter handle are public. A follow-up can pass the computed import set to the `upstreamableDecl` linter, which computes the same data a second time today.
Measurements on synthetic files (Apple Silicon, 18 cores, medians of 3 runs):
- Proof-heavy file (150 commands, about 120 ms each), linter on: 20.0 s before, 8.8 s after. The old version serialized elaboration of the whole file. The new version keeps elaboration parallel and runs the lint chain next to it.
- The old version with `Elab.async true` emits 123 warning lines instead of the correct 11, because parallel lint tasks race on the ref. The new version emits the correct 11 lines.
- Linter off (2000 trivial commands): the added cost is about 45 microseconds per command.
`registerStatefulLinter` shipped in v4.34.0-rc1
🤖 Generated with [Claude Code](https://claude.com/claude-code)
|
t-linter
LLM-generated
|
149/78 |
Mathlib/Tactic/Linter/MinImports.lean,MathlibTest/MinImports.lean |
2 |
1 |
['github-actions'] |
JovanGerb assignee:JovanGerb |
16-77017 16 days ago |
51-1647 51 days ago |
51-1368 51 days |
1 |
| 43817 |
marcelolynch author:marcelolynch |
chore: remove superfluous `@[expose]` modifiers from public sections |
A section-level `@[expose]` reaches the bodies of `def` declarations only. In the 70 sections that this PR changes, no declaration benefits from it. These sections hold theorems, instances, abbrevs, structures, inductives, notation, or defs whose bodies Lean keeps out of the public interface anyway. The modifier does nothing in each of them.
The `superfluousExpose` linter from #39387 supplied the candidates. It ran over all 4915 mathlib files that open an `@[expose] public section`, and it reported 73 of them.
A verification step then checks each removal without trusting the linter. It compiles the module twice under its own module name, once with the modifier and once without, and it compares the two results. The `.olean` and the `.olean.private` are byte-identical in all 70 cases, and so is the full compiler output. No importing module can observe these changes, and no new diagnostic appears.
Three further files that the linter reports stay out of this PR. Their sections contain `@[no_expose]` declarations, so the removal makes Lean report each `@[no_expose]` as redundant. These need a paired edit, and one of them carries `@[no_expose, simps! -isSimp app]`, where the attribute still has an effect. A follow-up can handle them.
Two files resist this method: `Mathlib/Lean/Elab/InfoTree.lean` and `Mathlib/Lean/Elab/Tactic/Meta.lean`. `Mathlib.Init` imports both, so neither file can import the linter without importing itself. A direct comparison shows that the removal changes the `.olean` in both, so both keep their modifier.
This is the second round of this cleanup. #39388 was the first.
🤖 Generated with [Claude Code](https://claude.com/claude-code)
|
tech debt
LLM-generated
|
70/70 |
Mathlib/Algebra/Category/ModuleCat/Ext/Baer.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/OfCommRing.lean,Mathlib/Algebra/Field/Rat.lean,Mathlib/Algebra/Group/Defs.lean,Mathlib/Algebra/Group/IsCommutative.lean,Mathlib/Algebra/GroupWithZero/Action/Regular.lean,Mathlib/Algebra/HierarchyDesign.lean,Mathlib/Algebra/Homology/HomotopyCategory/ChainComplex.lean,Mathlib/Algebra/Order/Archimedean/Real/Basic.lean,Mathlib/Algebra/Order/Field/Basic.lean,Mathlib/Algebra/Order/Nonneg/Lattice.lean,Mathlib/Algebra/Order/Ring/Unbundled/Rat.lean,Mathlib/Algebra/QuadraticAlgebra/AlgHom.lean,Mathlib/AlgebraicTopology/Quasicategory/TwoTruncatedQuasicategory.lean,Mathlib/Analysis/Asymptotics/Arith.lean,Mathlib/Analysis/Asymptotics/Basic.lean,Mathlib/Analysis/Asymptotics/Prod.lean,Mathlib/Analysis/Asymptotics/Ring.lean,Mathlib/Analysis/InnerProductSpace/Coalgebra.lean,Mathlib/Analysis/Meromorphic/LogDeriv.lean,Mathlib/Analysis/ODE/ExistUnique.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/Rpow/Measurable.lean,Mathlib/CategoryTheory/Adhesive/PushoutProduct.lean,Mathlib/CategoryTheory/ComposableArrows/Two.lean,Mathlib/CategoryTheory/Galois/FullSubcategory.lean,Mathlib/CategoryTheory/Limits/ConstructLimitMap.lean,Mathlib/CategoryTheory/MorphismProperty/LocalClosure.lean,Mathlib/CategoryTheory/ObjectProperty/FiniteLimits.lean,Mathlib/CategoryTheory/Presentable/Basic.lean,Mathlib/CategoryTheory/Presentable/IsDiscrete.lean,Mathlib/CategoryTheory/Presentable/PreservesCardinalPresentable.lean,Mathlib/CategoryTheory/Presentable/SolutionSetCondition.lean,Mathlib/CategoryTheory/Presentable/Uniformization.lean,Mathlib/Data/ENat/Pow.lean,Mathlib/Data/ENat/SuccOrder.lean,Mathlib/Data/NNRat/Floor.lean,Mathlib/Data/Rat/Floor.lean,Mathlib/Data/Sigma/Order.lean,Mathlib/FieldTheory/TranscendentalSeparable.lean,Mathlib/Geometry/Convex/AffineMap/Defs.lean,Mathlib/GroupTheory/FiniteAbelian/Basic.lean,Mathlib/GroupTheory/SpecificGroups/VirtuallyCyclic.lean,Mathlib/LinearAlgebra/Matrix/Echelon/Pivot.lean,Mathlib/LinearAlgebra/Matrix/Notation.lean,Mathlib/MeasureTheory/Integral/MeanInequalities.lean,Mathlib/MeasureTheory/Integral/SetToL1/ChangeMeasure.lean,Mathlib/MeasureTheory/Integral/SetToL1/DominatedConvergence.lean,Mathlib/MeasureTheory/Measure/Dirac/Basic.lean,Mathlib/NumberTheory/LSeries/PrimesInAP.lean,Mathlib/NumberTheory/LSeries/RiemannZetaLogDeriv.lean,Mathlib/NumberTheory/NumberField/FiniteAdeleRing.lean,Mathlib/Order/CompleteBooleanAlgebra.lean,Mathlib/Order/ConditionallyCompleteLattice/Basic.lean,Mathlib/Order/Heyting/Basic.lean,Mathlib/Order/Lattice/Nat.lean,Mathlib/Order/Notation.lean,Mathlib/RingTheory/Coalgebra/CoassocSimps.lean,Mathlib/RingTheory/LocalRing/ResidueField/Separable.lean,Mathlib/RingTheory/Localization/Saturation.lean,Mathlib/RingTheory/MvPowerSeries/Ideal.lean,Mathlib/RingTheory/QuasiFinite/Basic.lean,Mathlib/RingTheory/QuasiFinite/Weakly.lean,Mathlib/RingTheory/Radical/NatInt.lean,Mathlib/Tactic/Inclusion/Extension/IntervalDyadicReal/Basic.lean,Mathlib/Tactic/Inclusion/Extension/IntervalDyadicReal/Hypotheses.lean,Mathlib/Tactic/Inclusion/Extension/IntervalDyadicReal/Init.lean,Mathlib/Topology/Category/TopCommRingCat.lean,Mathlib/Topology/EMetricSpace/Weak.lean,Mathlib/Topology/List.lean,Mathlib/Topology/MetricSpace/CoveringExponent.lean |
70 |
1 |
['github-actions'] |
nobody |
16-75543 16 days ago |
16-80748 16 days ago |
16-80469 16 days |
0 |
| 43820 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Maps): dualize `Embedding.completeGraph` and `Copy.topEmbedding` |
Also `Copy.topEmbedding` doesn't need a `Copy`, it can use a `Hom`, unlike its dual `Copy.botEmbedding`.
---
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|
t-combinatorics |
115/15 |
Mathlib/Combinatorics/SimpleGraph/Clique.lean,Mathlib/Combinatorics/SimpleGraph/Copy.lean,Mathlib/Combinatorics/SimpleGraph/Maps.lean |
3 |
1 |
['github-actions'] |
nobody |
16-74110 16 days ago |
16-76308 16 days ago |
16-76029 16 days |
0 |
| 38434 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Maps): `map` lemmas about support/top/bot |
---
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|
t-combinatorics |
16/0 |
Mathlib/Combinatorics/SimpleGraph/Maps.lean |
1 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
16-66754 16 days ago |
21-12862 21 days ago |
21-13428 21 days |
0 |
| 42960 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Trails): an Eulerian walk is chordless |
---
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|
t-combinatorics |
4/0 |
Mathlib/Combinatorics/SimpleGraph/Trails.lean |
1 |
4 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
16-65795 16 days ago |
16-66568 16 days ago |
39-49401 39 days |
0 |
| 41623 |
SnirBroshi author:SnirBroshi |
feat(SimpleGraph/Trails): a walk is Eulerian iff it is a trail of length `G.edgeSet.encard` |
---
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|
t-combinatorics |
38/3 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean,Mathlib/Combinatorics/SimpleGraph/Trails.lean |
2 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
16-65188 16 days ago |
16-65985 16 days ago |
78-63831 78 days |
0 |
| 41524 |
SnirBroshi author:SnirBroshi |
feat(SimpleGraph/Trails): in a preconnected Eulerian graph there exists an Eulerian circuit from any vertex |
This lets us take a circuit at a specific vertex, much like [`IsHamiltonian.exists_isHamiltonianCycle`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Combinatorics/SimpleGraph/Hamiltonian.html#SimpleGraph.IsHamiltonian.exists_isHamiltonianCycle) in Hamiltonian graphs.
---
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|
t-combinatorics |
21/0 |
Mathlib/Combinatorics/SimpleGraph/Trails.lean |
1 |
6 |
['SnirBroshi', 'github-actions', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
16-65105 16 days ago |
16-65818 16 days ago |
81-15911 81 days |
1 |
| 38499 |
SnirBroshi author:SnirBroshi |
feat(Order/Hom/Basic): `Relation.Map`/`Function.bicompl` form an order isomorphism between relations |
For injective functions `f` and `g`, `Relation.Map · f g` is an order embedding between relations.
For surjective functions `f` and `g`, `Function.bicompl · f g` is an order embedding between relations.
For bijective functions `f` and `g`, `Relation.Map · f g` and `Function.bicompl · f g` form an order isomorphism between relations.
---
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|
t-order |
46/0 |
Mathlib/Order/Hom/Basic.lean |
1 |
7 |
['SnirBroshi', 'github-actions', 'mathlib-dependent-issues', 'plp127', 'wwylele'] |
nobody |
16-61789 16 days ago |
21-12866 21 days ago |
25-23591 25 days |
0 |
| 43793 |
justus-springer author:justus-springer |
doc(Algebra/Group/SelfInv): extend module docstring |
Follow-up to #42611. Explains the original motivation for this.
---
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|
t-algebra label:t-algebra$ |
7/0 |
Mathlib/Algebra/Group/SelfInv.lean |
1 |
8 |
['SnirBroshi', 'YaelDillies', 'eric-wieser', 'github-actions', 'justus-springer'] |
nobody |
16-56553 16 days ago |
17-19250 17 days ago |
17-28230 17 days |
0 |
| 42966 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Hasse): smaller path graphs are contained in bigger ones |
---
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|
t-combinatorics |
37/1 |
Mathlib/Combinatorics/SimpleGraph/Hasse.lean |
1 |
2 |
['b-mehta', 'github-actions'] |
nobody |
16-48658 16 days ago |
42-26795 42 days ago |
42-27219 42 days |
0 |
| 42878 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Star): the nth star graph is contained in a graph iff max degree is at least `n` |
- `starGraph (r : W) ⊑ G ↔ Nat.card W ≤ G.maxDegree + 1`
- `starGraph v ⊑ starGraph w ↔ Nonempty (V ↪ W)`
- `starGraph v ⊴ starGraph w ↔ Nonempty (V ↪ W)`
---
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|
t-combinatorics |
85/1 |
Mathlib/Combinatorics/SimpleGraph/Star.lean |
1 |
6 |
['SnirBroshi', 'b-mehta', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
16-47728 16 days ago |
16-48428 16 days ago |
33-71345 33 days |
0 |
| 39382 |
fpvandoorn author:fpvandoorn |
feat: add some lemmas that closures of some sets are compact |
* Also tag them with `closedness`/`compactness`.
* This can be refactored to use `RelativelyCompact` once we define that notion.
* Note: this is only equivalent to `IsBounded` in `ProperSpace`. It is equivalent to `@IsBounded _ (inCompact X) s` in a T2-space, but the latter thing is cumbersome to write.
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[](https://gitpod.io/from-referrer/)
|
t-topology |
67/0 |
Mathlib/Topology/MetricSpace/Bounded.lean,Mathlib/Topology/Order/Compact.lean,Mathlib/Topology/Order/OrderClosed.lean,MathlibTest/Compactness.lean |
4 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
16-47334 16 days ago |
16-49130 16 days ago |
16-75398 16 days |
0 |
| 37878 |
YaelDillies author:YaelDillies |
chore(Combinatorics/SimpleGraph): avoid structure relation predicates |
Relation predicates used to be `def`s over a `forall`, which was optimal for usability in fields of other structures. This changed in #35591 and #35192 as a byproduct of reducing apparent code duplication. Unfortunately, the usability issue was overlooked.
This PR restores usability by dropping the use of those relation classes that are `structure`s, ie `Std.Irrefl` and `Std.Transitive`.
---
- [x] depends on: #38554
I would also be happy to revert #35591 and #35192 since this demonstrates a good use case for the `def` versions of the relation predicates.
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
111/117 |
Archive/Wiedijk100Theorems/Konigsberg.lean,Mathlib/Combinatorics/Graph/Simple.lean,Mathlib/Combinatorics/SimpleGraph/AdjMatrix.lean,Mathlib/Combinatorics/SimpleGraph/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Bipartite.lean,Mathlib/Combinatorics/SimpleGraph/Clique.lean,Mathlib/Combinatorics/SimpleGraph/CompleteMultipartite.lean,Mathlib/Combinatorics/SimpleGraph/Dart.lean,Mathlib/Combinatorics/SimpleGraph/Density.lean,Mathlib/Combinatorics/SimpleGraph/Extremal/ErdosStoneSimonovits.lean,Mathlib/Combinatorics/SimpleGraph/FiveWheelLike.lean,Mathlib/Combinatorics/SimpleGraph/Hall.lean,Mathlib/Combinatorics/SimpleGraph/LineGraph.lean,Mathlib/Combinatorics/SimpleGraph/Maps.lean,Mathlib/Combinatorics/SimpleGraph/Operations.lean,Mathlib/Combinatorics/SimpleGraph/Paths.lean,Mathlib/Combinatorics/SimpleGraph/Prod.lean,Mathlib/Combinatorics/SimpleGraph/Regularity/Uniform.lean,Mathlib/Combinatorics/SimpleGraph/Subgraph.lean,Mathlib/Combinatorics/SimpleGraph/Sum.lean,Mathlib/Combinatorics/SimpleGraph/Trails.lean,Mathlib/Combinatorics/SimpleGraph/Triangle/Tripartite.lean,Mathlib/ModelTheory/Graph.lean,Mathlib/Order/Cover.lean,Mathlib/Order/RelClasses.lean |
25 |
27 |
['SnirBroshi', 'Vierkantor', 'YaelDillies', 'b-mehta', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
16-31672 16 days ago |
16-36744 16 days ago |
121-42431 121 days |
0 |
| 43841 |
tb65536 author:tb65536 |
feat(Analysis/Normed/Ring/WithAbs): more API for `AbsoluteValue.under` |
This PR adds more API for `AbsoluteValue.under`, following the analogous API for `Ideal.under`.
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|
t-analysis |
30/0 |
Mathlib/Analysis/Normed/Ring/WithAbs.lean |
1 |
1 |
['github-actions'] |
nobody |
16-29189 16 days ago |
16-29996 16 days ago |
16-29717 16 days |
0 |
| 43846 |
tb65536 author:tb65536 |
feat(GroupTheory/Finiteness): instances for `IsMulFG (closure s)` |
This PR adds missing instances for `IsMulFG (closure s)` that will replace the existing instances for the old finiteness definitions.
---
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|
t-algebra
t-group-theory
label:t-algebra$ |
21/25 |
Mathlib/GroupTheory/Commutator/Finite.lean,Mathlib/GroupTheory/Finiteness.lean |
2 |
1 |
['github-actions'] |
nobody |
16-6901 16 days ago |
16-6981 16 days ago |
16-6703 16 days |
0 |
| 41304 |
plp127 author:plp127 |
chore(Data/Set/Lattice): `Sort*` polymorphism |
Generalize some theorems from `Type*` to `Sort*`.
---
- [x] depends on: #39857
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|
t-order |
30/25 |
Mathlib/Data/Set/Lattice/Bounded.lean,Mathlib/Data/Set/Lattice/Indexed.lean |
2 |
6 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
16-6076 16 days ago |
16-8189 16 days ago |
16-21848 16 days |
0 |
| 43850 |
tb65536 author:tb65536 |
feat(GroupTheory/Finiteness): `IsMulFG iSup` |
This PR adds missing theorems for `IsMulFG iSup` that will replace the existing theorems for the old finiteness definitions.
---
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|
t-algebra
t-group-theory
label:t-algebra$ |
74/22 |
Mathlib/Algebra/Group/Submonoid/Defs.lean,Mathlib/GroupTheory/Finiteness.lean |
2 |
1 |
['github-actions'] |
nobody |
16-5652 16 days ago |
16-5703 16 days ago |
16-5426 16 days |
0 |
| 41675 |
joelriou author:joelriou |
feat(AlgebraicTopology): pushout diagrams in the filtration of `Δ[p] ⊗ Δ[1]` |
---
- [x] depends on: #41656
- [x] depends on: #41655
- [x] depends on: #41624
- [x] depends on: #41617
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[](https://gitpod.io/from-referrer/)
|
t-algebraic-topology |
242/3 |
Mathlib/AlgebraicTopology/SimplicialSet/ProdStdSimplex.lean,Mathlib/AlgebraicTopology/SimplicialSet/ProdStdSimplexOne.lean,Mathlib/AlgebraicTopology/SimplicialSet/StdSimplex.lean,Mathlib/AlgebraicTopology/SimplicialSet/Subcomplex.lean |
4 |
19 |
['github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'robin-carlier'] |
robin-carlier assignee:robin-carlier |
16-4679 16 days ago |
20-15925 20 days ago |
24-8508 24 days |
2 |
| 43802 |
justus-springer author:justus-springer |
feat(Tactic/Linter): syntax linter for deprecation date format |
A syntax linter checking that deprecation dates in `since := ...` fields have the form `YYYY-MM-DD`.
My motivation for this that I always forget what the correct format is when writing deprecations. There is actually one instance of a malformed date in mathlib in `AlgebraicTopology/SimplicialNerve.lean`, which I fixed.
Generative AI was used to get a working draft, on which I then iterated by hand.
---
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|
LLM-generated
large-import
t-linter
|
153/2 |
Mathlib.lean,Mathlib/AlgebraicTopology/SimplicialNerve.lean,Mathlib/Init.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Linter/DeprecationDate.lean,Mathlib/Tactic/Linter/Lint.lean,MathlibTest/Attribute/ToAdditive/Basic.lean,MathlibTest/Linter/DeprecationDate.lean,MathlibTest/Linter/DupNamespace.lean |
9 |
1 |
['github-actions'] |
nobody |
16-926 16 days ago |
17-9263 17 days ago |
17-11918 17 days |
0 |
| 39941 |
mkaratarakis author:mkaratarakis |
feat(Data/List): add count lemmas for duplicate detection |
## Summary
Add general list count lemmas used in the Perron–Frobenius quiver-path development: Relocated from the PF-specific file per review feedback. Proofs use upstream `List.Duplicate` API and `grind` where appropriate (per @chenson2018).
Part of the Perron–Frobenius formalization (with @or4nge19).
cc @or4nge19 for review |
t-data |
24/0 |
Mathlib/Data/List/Count.lean |
1 |
4 |
['chenson2018', 'eric-wieser', 'github-actions', 'mkaratarakis'] |
nobody |
15-76117 15 days ago |
37-34261 37 days ago |
114-78848 114 days |
0 |
| 42249 |
plp127 author:plp127 |
chore(FreeAbelianGroup): deprecate multiplication |
Deprecate multiplication on `FreeAbelianGroup` in favor of using `MonoidAlgebra`. Supersedes #27759.
---
- [x] depends on: #42245
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|
tech debt |
62/34 |
Mathlib/GroupTheory/FreeAbelianGroup.lean |
1 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
15-75688 15 days ago |
15-77457 15 days ago |
28-15491 28 days |
0 |
| 43815 |
SnirBroshi author:SnirBroshi |
feat(Data/Sym/Sym2): `Sym2.map` lifts equivalences |
`Sym2.map : (α → β) → (Sym2 α → Sym2 β)` preserves injectivity / surjectivity / bijectivity, and can lift `α ≃ β` to `Sym2 α ≃ Sym2 β`.
---
Is this what people might call "functoriality of `Sym2.map`"? Or maybe of `Sym2`? Or does `Sym2.map` itself already demonstrates that `Sym2` is functorial? Not sure
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|
t-data |
45/3 |
Mathlib/Combinatorics/SimpleGraph/Maps.lean,Mathlib/Data/Sym/Sym2.lean |
2 |
1 |
['github-actions'] |
nobody |
15-55501 15 days ago |
16-76051 16 days ago |
16-78192 16 days |
1 |
| 43859 |
kebekus author:kebekus |
feat: Jensen-Type Inequality for Circle Averages |
In preparation for the upcoming proof of Nevanlinna's "Lemma on Logarithmic Derivatives", establish a Jensen-type inequality for circle averages, where the positive part of the logarithm plays the role of the concave function.
---
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[](https://gitpod.io/from-referrer/)
|
t-measure-probability
LLM-generated
|
93/0 |
Mathlib.lean,Mathlib/Analysis/Complex/ValueDistribution/LogDerivLemma.lean,Mathlib/Analysis/Convex/SpecificFunctions/Basic.lean,Mathlib/MeasureTheory/Integral/CircleIntegral.lean |
4 |
1 |
['github-actions'] |
nobody |
15-54926 15 days ago |
15-57446 15 days ago |
15-57167 15 days |
0 |
| 43819 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/DeleteEdges): morphisms between `deleteEdges` graphs |
Accepting two sets and a proof of `Sym2.map f ⁻¹' t ⊆ s` lets us use the morphisms with `Set.preimage` or `Set.image` or anything else that's convenient.
---
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
74/1 |
Mathlib/Combinatorics/SimpleGraph/Copy.lean,Mathlib/Combinatorics/SimpleGraph/DeleteEdges.lean |
2 |
5 |
['SnirBroshi', 'b-mehta', 'github-actions'] |
nobody |
15-52657 15 days ago |
15-52851 15 days ago |
16-10744 16 days |
2 |
| 43861 |
SnirBroshi author:SnirBroshi |
chore(Algebra/Order/Achimedean/Class): use `inferInstanceAs%` for `LinearOrder MulArchimedeanClass` |
---
The motivation is the `TODO`; I don't know if core's `inferInstanceAs` elaborator would be better here.
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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
1/2 |
Mathlib/Algebra/Order/Archimedean/Class.lean |
1 |
1 |
['github-actions'] |
nobody |
15-51220 15 days ago |
15-52030 15 days ago |
15-51751 15 days |
0 |
| 41426 |
gmcninch-prof author:gmcninch-prof |
feat: add symmetric multilinear maps |
Define `SymmetricMap R M N ι`, the type of symmetric `R`-multilinear maps
from `ι → M` to `N` (i.e. multilinear maps invariant under permutation of
their arguments).
---
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The code is adapted from Kenny Lau's work
[here](https://github.com/kckennylau/EllipticCurve/blob/master/EllipticCurve/ProjectiveSpace/TensorProduct/SymmetricMap.lean)
-- see [`SymmetricMap`](https://github.com/gmcninch-prof/mathlib4/blob/symmetric-power-lift/Mathlib/LinearAlgebra/TensorProduct/SymmetricMap.lean).
This PR previously also contained the universal property / `lift` for
`SymmetricPower` (relating linear maps out of `Sym[R]^n M` to symmetric
multilinear maps), but per reviewer feedback on Zulip that work has been
split into a separate PR that depends on this one.
Zulip discussion [here](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/SymmetricPower.20universal.20property/near/608532652)
[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
397/0 |
Mathlib.lean,Mathlib/LinearAlgebra/TensorProduct/SymmetricMap.lean |
2 |
10 |
['github-actions', 'gmcninch-prof', 'jcommelin'] |
ocfnash assignee:ocfnash |
14-76957 14 days ago |
81-8464 81 days ago |
82-62887 82 days |
1 |
| 43857 |
vihdzp author:vihdzp |
feat: split `transfiniteIterate` into `sup` and `inf` versions |
We deprecate `transfiniteIterate` and create `supTransfiniteIterate` and `infTransfiniteIterate` in its place. One of them uses suprema to compute the value at limit points, and the other uses infima.
The plan is to then use both of these definitions to deprecate `OrdinalApprox.lfpApprox` and `OrdinalApprox.gfpApprox`, which are simply specializations of these.
---
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[](https://gitpod.io/from-referrer/)
|
tech debt
t-order
|
177/139 |
Mathlib/CategoryTheory/Abelian/GrothendieckCategory/EnoughInjectives.lean,Mathlib/CategoryTheory/ObjectProperty/LimitsClosure.lean,Mathlib/CategoryTheory/Presentable/SharplyLT/Basic.lean,Mathlib/Order/TransfiniteIteration.lean |
4 |
1 |
['github-actions'] |
nobody |
14-56724 14 days ago |
15-62757 15 days ago |
15-63369 15 days |
0 |
| 42110 |
Zeta-Wu author:Zeta-Wu |
feat: add path length for paths in pseudo emetric spaces |
This PR defines the length of a path in a `PseudoEMetricSpace` as its variation on the unit interval.
It proves the basic properties of path length:
- the endpoint distance is bounded by the length;
- the constant path has length zero;
- reversing a path preserves its length;
- concatenating two paths adds their lengths.
Main declarations:
- `Path.length`
- `Path.edist_le_length`
- `Path.length_refl`
- `Path.length_symm`
- `Path.length_trans`
This is intended as a first step toward a broader theory of rectifiable paths, including later results on invariance of length under monotone reparametrization, and shortest paths are line segments up to monotone reparametrization in strict convex spaces.
This PR was discussed on Zulip [here](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/PR.20.2342110.3A.20Path.2Elength.20in.20PseudoEMetricSpace).
AI disclosure: I used an agent called ReasLingo to generate those codes. After the codes are generated I read them line by line and ask the agent to rewrite some proofs when I think it is a bad code. For design decisions, I asked the agent to give me several versions, and I manually picked one of them to make sure it fits human understanding.
---
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[](https://gitpod.io/from-referrer/)
|
t-topology
new-contributor
LLM-generated
|
215/0 |
Mathlib.lean,Mathlib/Topology/EMetricSpace/ArcLength.lean,Mathlib/Topology/EMetricSpace/PathLength.lean,Mathlib/Topology/Path.lean,Mathlib/Topology/UnitInterval.lean |
5 |
124 |
['CoolRmal', 'Zeta-Wu', 'felixpernegger', 'github-actions', 'pelicanhere', 'scholzhannah'] |
scholzhannah assignee:scholzhannah |
14-41630 14 days ago |
15-31258 15 days ago |
55-56572 55 days |
0 |
| 39347 |
Sfgangloff author:Sfgangloff |
feat(SymbolicDynamics): refactor of Pattern and shift-invariance of shape languages for subshifts |
## Summary
This PR refactors Pattern.mulShift in Mathlib/Dynamics/SymbolicDynamics/Basic.lean and uses the cleaner definition to prove shift-invariance of the language of a subshift on a finite shape.
## Changes
Pattern.mulShift now returns a Pattern instead of a configuration (more natural).
- Old type: Pattern.mulShift : Pattern A G → G → (G → A)
- New type: Pattern.mulShift : Pattern A G → G → Pattern A G
- The result carries its support (p.support.image (v * ·)) and the
default-outside-support proof, so callers don't have to re-derive them.
The [IsLeftCancelMul G] hypothesis is moved to the lemmas that actually use it.
- The definition Pattern.mulShift itself no longer needs left-cancellation (it only
chooses a preimage noncomputably).
- The hypothesis is now stated on mulShift_config_apply_mul_left_of_mem and
mulOccursInAt_eq_cylinder directly, instead of being a section-level variable.
Renames following the type change.
- mulShift_apply_mul_left_of_mem → mulShift_config_apply_mul_left_of_mem (because we
now write (p.mulShift v).config instead of p.mulShift v).
New @[simp] and @[ext] lemmas for Pattern.
- Pattern.ext: two patterns are equal iff their supports agree and their
configurations agree on the support.
- Pattern.mulShift_support: the support of p.mulShift v is p.support.image (v * ·).
- Pattern.fromConfig_support: the support of fromConfig x U is U.
- Pattern.fromConfig_config_of_mem: on its support, fromConfig x U agrees with x.
New lemma Pattern.fromConfig_mulShift.
For a left inverse g' * g = 1, shifting the pattern fromConfig x U by g equals
fromConfig (mulShift g' x) (U.image (g * ·)).
New theorem MulSubshift.languageOn_image_mulShift.
For a subshift Y and elements g, g' with g * g' = 1 and g' * g = 1:
(fun p => p.mulShift g) '' Y.languageOn U = Y.languageOn (U.image (g * ·))
i.e. the language on the translated shape is exactly the image of the language on U
under the pattern-shift map. This gives a bijection between Y.languageOn U and
Y.languageOn (U.image (g * ·)), with inverse p ↦ p.mulShift g'. Stated for
left-cancellative monoids with an invertible element.
Updated docstrings for Pattern.mulShift and the renamed lemma to reflect the
bundled-Pattern return type and clarify which results need [IsLeftCancelMul G]. |
t-dynamics
new-contributor
|
144/47 |
Mathlib/Dynamics/SymbolicDynamics/Basic.lean |
1 |
13 |
['Sfgangloff', 'github-actions', 'mathlib-merge-conflicts', 'sgouezel'] |
sgouezel assignee:sgouezel |
14-34142 14 days ago |
14-34142 14 days ago |
48-5454 48 days |
0 |
| 43824 |
xingzhicn author:xingzhicn |
feat(Order/Submodular): define submodular functions and diminishing returns |
This PR defines submodular, supermodular, and modular functions on general lattices, and proves the diminishing returns property on finite sets.
Main definitions:
- `IsSubmodular f`: `∀ a b, f (a ⊓ b) + f (a ⊔ b) ≤ f a + f b`
- `IsSupermodular f`: `∀ a b, f a + f b ≤ f (a ⊓ b) + f (a ⊔ b)`
- `IsModular f`: `∀ a b, f (a ⊓ b) + f (a ⊔ b) = f a + f b`
Main results:
- `isModular_iff_submodular_and_supermodular`: a function is modular iff it is both submodular and supermodular.
- `IsSubmodular.add_insert_le`: diminishing returns on `Finset`: for `s ⊆ t` and `x ∉ t`, `f s + f (insert x t) ≤ f (insert x s) + f t`.
This lays the foundation for discrete convex analysis, combinatorial optimization, and matroid rank theory.
---
|
t-order
new-contributor
|
120/0 |
Mathlib.lean,Mathlib/Order/Submodular.lean |
2 |
15 |
['JX-Mo', 'github-actions', 'pepamontero', 'vlad902'] |
nobody |
14-25820 14 days ago |
16-67656 16 days ago |
16-67377 16 days |
0 |
| 41531 |
luigi-massacci author:luigi-massacci |
feat: scalar multiplication as a CLM on D^n |
Introduces for `TestFunction` the analogous results from `SchwartzMap`.
---
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- [x] depends on: #41485
- [x] depends on: #41324
[](https://gitpod.io/from-referrer/)
|
t-analysis |
93/41 |
Mathlib/Analysis/Distribution/TestFunction.lean |
1 |
6 |
['github-actions', 'luigi-massacci', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
14-24187 14 days ago |
14-25735 14 days ago |
14-25881 14 days |
4 |
| 42510 |
williamjblair author:williamjblair |
feat(NumberTheory/AdditionChain): addition chains and the doubling bound |
This is an addition chain for `n` is a strictly increasing list `1 = a₀ < a₁ < ⋯ < a_r = n` in which every entry after the first is a sum of two earlier entries. `Nat.additionChainLength n` is the least `r` over all such chains, the classical `ℓ(n)`.
`additionChainLength` is an `sInf` over `List ℕ`, so an explicit chain bounds it above (`Nat.additionChainLength_le`), but nothing bounds it below until the search is confined. `List.IsAdditionChain.getLast_le_two_pow` confines it as a step at most doubles, so `r` steps cannot reach past `2 ^ r`. That gives `Nat.lt_additionChainLength_of_two_pow_lt`, and the two bounds together pin down individual values.
`Nat.exists_isAdditionChain` shows every positive `n` ends some chain, so the length is a minimum of a nonempty set rather than `sInf ∅`.
---
Mathlib has nothing on addition chains at present that I could see. This came out of [formal-conjectures](https://github.com/google-deepmind/formal-conjectures), where it underlies the Scholz conjecture. Here is the relevant [PR](https://github.com/google-deepmind/formal-conjectures/pull/4820)
[](https://gitpod.io/from-referrer/)
|
t-number-theory |
161/0 |
Mathlib.lean,Mathlib/NumberTheory/AdditionChain.lean,docs/references.bib |
3 |
10 |
['MichaelStollBayreuth', 'github-actions', 'williamjblair'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
14-22310 14 days ago |
14-23470 14 days ago |
36-25772 36 days |
0 |
| 43893 |
b-mehta author:b-mehta |
feat(Order/Preorder/Finite): maximal elements of a Finset insert |
This is particularly useful when doing finset induction!
---
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|
t-order |
38/0 |
Mathlib/Order/Preorder/Finite.lean |
1 |
1 |
['github-actions'] |
nobody |
14-22215 14 days ago |
14-26648 14 days ago |
14-26369 14 days |
0 |
| 43186 |
homeowmorphism author:homeowmorphism |
chore(GroupTheory/Coxeter/Basic): use `_` for the unused induction variable in `wordProd_reverse` |
---
Use of AI: I noticed this while reading the `Coxeter` API, removed the variable and had Claude prepare the PR.
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|
t-group-theory |
1/1 |
Mathlib/GroupTheory/Coxeter/Basic.lean |
1 |
2 |
['Multramate', 'github-actions', 'homeowmorphism'] |
nobody |
14-18917 14 days ago |
34-29692 34 days ago |
34-29413 34 days |
0 |
| 43770 |
vlad902 author:vlad902 |
feat(AffineSpace/FiniteDimensional): generalize typeclasses |
A number of theorems/instances are stated at the top of the file for `DivisionRing`, but the assumption could be weakened to `Ring` with some theorems further requiring
`Nontrivial`/`StrongRankCondition`/`OrzechProperty`. Weakening to `Ring` also requires renaming some `FiniteDimensional` assumptions to `Module.Finite`.
This PR weakens moves around some theorems/instances to fit their new sections assumptions and renames some theorems/instances to match their new conclusions. No theorems are added/removed.
---
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|
t-algebra label:t-algebra$ |
164/106 |
Mathlib/LinearAlgebra/AffineSpace/FiniteDimensional.lean |
1 |
7 |
['github-actions', 'grunweg', 'leanprover-radar', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
14-18630 14 days ago |
15-51631 15 days ago |
18-24975 18 days |
0 |
| 42766 |
harahu author:harahu |
chore(Order): tidy markdown headers |
This PR:
- Ensures all files in `Mathlib/Order` have an H1 header.
- Aligns some H2 headers with the examples in the documentation style guide.
---
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|
t-order |
8/5 |
Mathlib/Order/Comparable.lean,Mathlib/Order/CompleteSublattice.lean,Mathlib/Order/Completion.lean,Mathlib/Order/Interval/Set/OrdConnectedLinear.lean,Mathlib/Order/Quotient.lean,Mathlib/Order/Types/Arithmetic.lean |
6 |
1 |
['Multramate', 'github-actions'] |
nobody |
14-18098 14 days ago |
48-34509 48 days ago |
48-34230 48 days |
0 |
| 42670 |
harahu author:harahu |
chore(Combinatorics): tidy markdown headers |
Ensure files in `Mathlib/Combinatorics` have one and only one H1 header, thus enforcing the style guide.
Newly created headers in this PR were authored by Claude Opus 5.
---
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|
t-combinatorics |
11/5 |
Mathlib/Combinatorics/Enumerative/Catalan/Tree.lean,Mathlib/Combinatorics/Quiver/ConnectedComponent.lean,Mathlib/Combinatorics/Quiver/Subquiver.lean,Mathlib/Combinatorics/Quiver/Symmetric.lean,Mathlib/Combinatorics/SimpleGraph/Cayley.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean |
6 |
1 |
['Multramate', 'github-actions'] |
nobody |
14-18044 14 days ago |
50-45118 50 days ago |
50-46402 50 days |
0 |
| 43806 |
b-mehta author:b-mehta |
chore(Data/Finset/Union): tag biUnion lemmas with grind |
Add some basic grind tags for Finset.biUnion lemmas.
---
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|
t-data |
3/1 |
Mathlib/Data/Finset/Union.lean |
1 |
3 |
['Multramate', 'github-actions', 'leanprover-radar'] |
nobody |
14-17246 14 days ago |
17-18043 17 days ago |
17-17764 17 days |
0 |
| 27050 |
BoltonBailey author:BoltonBailey |
doc(Control/Monad/Cont): add docstrings |
Split of #25917. This PR adds docstrings to this file.
This documentation was written by a few versions of Claude (Claude 3.5 Sonnet and Fable 5) , with human supervision.
---
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|
t-data
LLM-generated
tech debt
|
64/22 |
Mathlib/Control/Monad/Cont.lean,scripts/nolints.json |
2 |
10 |
['BoltonBailey', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
13-85547 13 days ago |
14-2692 14 days ago |
15-454 15 days |
0 |
| 40599 |
ChiCubed author:ChiCubed |
feat(LinearAlgebra): rank-nullity theorems for Submodule map/comap |
We show forms of the rank-nullity theorem involving `Submodule.map` and `Submodule.comap`. Together with `LinearMap.ker_comp` this provides a formula for the rank of the kernel of a composite (and, in finite dimensions at least, for the rank of the range).
---
I didn't explicitly write the aforementioned formula for rank ker (f ∘ g) since it is just `LinearMap.ker_comp` followed by `LinearMap.lift_rank_comap`, but perhaps it should be added for discoverability?
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|
t-algebra
new-contributor
label:t-algebra$ |
63/15 |
Mathlib/Algebra/Module/Submodule/Ker.lean,Mathlib/Algebra/Module/Submodule/Map.lean,Mathlib/Algebra/Module/Submodule/Range.lean,Mathlib/LinearAlgebra/Dimension/RankNullity.lean |
4 |
41 |
['ADedecker', 'ChiCubed', 'github-actions', 'jcommelin', 'themathqueen', 'wwylele'] |
alreadydone assignee:alreadydone |
13-77015 13 days ago |
21-81947 21 days ago |
99-47872 99 days |
0 |
| 41339 |
mkaratarakis author:mkaratarakis |
feat(ComputablePolynomial): define SparsePoly, a computable univariate polynomial |
`SparsePoly R` is a computable, kernel-reducible representation of univariate polynomials over a commutative ring `R` with `DecidableEq R`: a list of `(exponent, coefficient)` pairs with strictly decreasing exponents and nonzero coefficients, making the representation canonical. This first part defines the structure, the semantics `toPoly : SparsePoly R → Polynomial R`, and addition.
Started by Mario Carneiro at the Hausdorff Institute (June 2024) with design notes and an original Lean prototype by James Davenport (https://github.com/JamesHDavenport/Dagstuhl23401, `verify-irred/VerifyIrred`) and the proofs were done with the help of Claude code.
|
t-meta |
201/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/ComputablePolynomial/Basic.lean |
3 |
2 |
['github-actions'] |
joneugster assignee:joneugster |
13-77014 13 days ago |
89-52686 89 days ago |
89-52942 89 days |
7 |
| 41443 |
alreadydone author:alreadydone |
feat(RingTheory/AdjoinRoot): add AdjoinRoot.isFractionRing |
Co-authored-by: Sriram Chinthalagiri Venkata @sriram3301
Co-authored-by: David Kurniadi Angdinata @Multramate
This contribution was created as part of the Heidelberg Lean workshop "Formalising algebraic geometry" in November 2025.
---
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|
t-algebra
t-ring-theory
label:t-algebra$ |
97/9 |
Mathlib/RingTheory/AdjoinRoot.lean,Mathlib/RingTheory/Algebraic/Integral.lean,Mathlib/RingTheory/IsAdjoinRoot.lean,Mathlib/RingTheory/Localization/Algebra.lean |
4 |
10 |
['Multramate', 'alreadydone', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts', 'tb65536'] |
mattrobball assignee:mattrobball |
13-77013 13 days ago |
40-4566 40 days ago |
75-32413 75 days |
0 |
| 41882 |
theebayuser author:theebayuser |
feat(Data/List): decidability of HasPeriod and periods of repeated lists |
Hello, this PR extends `Mathlib/Data/List/PeriodicityLemma.lean` with:
* a `Decidable (List.HasPeriod w p)` instance (it is a prefix test), and
* two directions that relate periods to repetition:
* `hasPeriod_flatten_replicate` — `(replicate n l).flatten` has period `l.length`
* `eq_flatten_replicate_of_hasPeriod` — a word with period `p` and length `r * p` is the `r`-fold repetition of its length-`p` prefix.
This characterizes `r`-th powers of words by a period plus a length constraint, which a future follow-up PR that I plan to work on will use.
AI disclosure: This code was mostly generated by Claude Fable 5 and Opus 4.8 as part of my larger project on combinatorics on words, which I then reviewed and revised to contribute to mathlib.
|
t-data
LLM-generated
new-contributor
|
59/1 |
Mathlib/Data/List/PeriodicityLemma.lean |
1 |
8 |
['SnirBroshi', 'github-actions', 'theebayuser'] |
eric-wieser assignee:eric-wieser |
13-77012 13 days ago |
75-54278 75 days ago |
75-53999 75 days |
0 |
| 43911 |
kim-em author:kim-em |
ci: audit dependency diffs on the update-dependencies PR |
This PR adds a supply-chain audit step to the hourly `update_dependencies.yml` workflow. After `lake update`, it prepares the full `git diff` of every dependency whose revision changed (comparing `lake-manifest.json` against `master`), plus the `mathlib-ci` pin that the same PR bumps, uploads them as a workflow artifact, and once the PR exists comments on it with a summary table: links to each upstream commit and to GitHub's `old...new` compare view, high-risk files touched, suspicious added lines, and non-fast-forward warnings. The comment also carries the audit prompt, so anyone can run their preferred model over the same material and report back.
The diffs are produced by [paranoid-lake-update](https://github.com/kim-em/paranoid-lake-update), pinned by commit. It uses bare clones and `git` only: nothing from upstream is executed by this step (unlike `lake update` itself, which runs each dependency's `lakefile.lean` at configuration time). No new secrets or permissions are needed; the comment is posted with the existing app token.
If the community would rather host the tool under `leanprover-community`, the clone URL and pin are the only two lines to change.
🤖 Prepared with Claude Code
🤖 Generated with [Claude Code](https://claude.com/claude-code)
https://claude.ai/code/session_01X6RJUXkdBUChpnBeuojWAN
|
CI |
44/0 |
.github/workflows/update_dependencies.yml |
1 |
3 |
['github-actions', 'kim-em'] |
nobody |
13-59223 13 days ago |
13-64822 13 days ago |
13-64543 13 days |
0 |
| 35881 |
astrainfinita author:astrainfinita |
chore: do not use `inf` `sup` in `LinearOrder` lemmas |
`max` and `sup` have been unified into the same function. It is no longer necessary to create lemmas about `sup` for `LinearOrder`.
This PR moves `max` lemmas to an earlier file to ensure that files importing deprecated `sup` lemmas can use them.
---
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- [ ] depends on: #35841
- [ ] depends on: #35880
- [ ] depends on: #42373
[](https://gitpod.io/from-referrer/)
|
t-order |
71/62 |
Mathlib/Algebra/Order/CauSeq/Basic.lean,Mathlib/Algebra/Order/Group/PosPart.lean,Mathlib/Algebra/Order/Group/Unbundled/Abs.lean,Mathlib/AlgebraicGeometry/OrderOfVanishing.lean,Mathlib/Analysis/Analytic/Basic.lean,Mathlib/Analysis/Analytic/ConvergenceRadius.lean,Mathlib/Analysis/CStarAlgebra/Basic.lean,Mathlib/Analysis/Complex/OpenMapping.lean,Mathlib/Analysis/Complex/UpperHalfPlane/ProperAction.lean,Mathlib/Analysis/Normed/Group/Seminorm.lean,Mathlib/Analysis/Normed/Module/Seminorm/Basic.lean,Mathlib/Data/Finset/Lattice/Fold.lean,Mathlib/Data/Nat/Factorization/LCM.lean,Mathlib/MeasureTheory/Measure/PreVariation.lean,Mathlib/MeasureTheory/Measure/Stieltjes.lean,Mathlib/MeasureTheory/PiSystem.lean,Mathlib/NumberTheory/AbelSummation.lean,Mathlib/NumberTheory/LSeries/PrimesInAP.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/Summable.lean,Mathlib/NumberTheory/Ostrowski.lean,Mathlib/Order/BoundedOrder/Lattice.lean,Mathlib/Order/BourbakiWitt.lean,Mathlib/Order/Filter/ENNReal.lean,Mathlib/Order/Heyting/Basic.lean,Mathlib/Order/Interval/Set/LinearOrder.lean,Mathlib/Order/Lattice.lean,Mathlib/Probability/Moments/Basic.lean,Mathlib/Probability/Moments/IntegrableExpMul.lean,Mathlib/Probability/Process/LocalProperty.lean,Mathlib/RingTheory/MvPolynomial/MonomialOrder.lean,Mathlib/RingTheory/MvPowerSeries/GaussNorm.lean,Mathlib/RingTheory/Polynomial/HilbertPoly.lean,Mathlib/RingTheory/PowerSeries/WeierstrassPreparation.lean,Mathlib/RingTheory/Valuation/Basic.lean,Mathlib/Topology/MetricSpace/Algebra.lean,Mathlib/Topology/MetricSpace/BundledFun.lean,Mathlib/Topology/MetricSpace/Infsep.lean,Mathlib/Topology/Semicontinuity/Basic.lean,Mathlib/Topology/Sion.lean |
39 |
5 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
13-39645 13 days ago |
13-43338 13 days ago |
13-43876 13 days |
0 |
| 38478 |
dagurtomas author:dagurtomas |
feat(Tactic/CategoryTheory): op attribute |
Adding `@[op]` to a lemma named `H` of shape `∀ .., f = g`, where `f` and `g` are morphisms
in some category `C`, creates a new lemma named `H_op` by applying `Quiver.Hom.op` to both sides
and then simplifying with `simp only [op_comp, op_id]`.
This PR also adds `op_of%`, and adjusts `@[map]` so that `@[op (attr := map)]` works for
equalities of morphisms in opposite categories.
---
- [x] depends on: #37183
[](https://gitpod.io/from-referrer/)
|
LLM-generated
t-category-theory
t-meta
|
333/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/CategoryTheory/Op.lean,MathlibTest/CategoryTheory/Op.lean,MathlibTest/CategoryTheory/OpNormalization.lean |
5 |
8 |
['chrisflav', 'dagurtomas', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'robin-carlier'] |
kim-em assignee:kim-em |
13-35974 13 days ago |
15-52654 15 days ago |
15-56972 15 days |
0 |
| 43224 |
joelriou author:joelriou |
feat(Category/Abelian/Injective): interaction between `InjectiveResolution.extMk` and the connecting morphism |
Given a short exact sequence `0 → X₁ → X₂ → X₃ → 0` and an injective resolution `R` of an object `Y`, we give a concrete computation of the connecting homomorphism $$Ext^n(X_1, Y) \to Ext^{n + 1}(X_3, Y)$$.
---
- [x] depends on: #43492
- [x] depends on: #43086
- [x] depends on: #43089
- [x] depends on: #43103
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[](https://gitpod.io/from-referrer/)
|
tech debt
t-category-theory
|
200/30 |
Mathlib/Algebra/Homology/DerivedCategory/Ext/Map.lean,Mathlib/Algebra/Homology/DerivedCategory/SingleTriangle.lean,Mathlib/Algebra/Homology/DerivedCategory/SmallShiftedHom.lean,Mathlib/Algebra/Homology/HomotopyCategory/HomComplex.lean,Mathlib/Algebra/Homology/HomotopyCategory/HomComplexShift.lean,Mathlib/Algebra/Homology/HomotopyCategory/HomComplexSingle.lean,Mathlib/Algebra/Homology/HomotopyCategory/Pretriangulated.lean,Mathlib/Algebra/Homology/ShortComplex/Basic.lean,Mathlib/CategoryTheory/Abelian/Injective/Ext.lean,Mathlib/CategoryTheory/Shift/Basic.lean,Mathlib/CategoryTheory/Shift/ShiftedHom.lean |
11 |
10 |
['Multramate', 'github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'robin-carlier'] |
nobody |
13-29004 13 days ago |
24-12048 24 days ago |
24-11781 24 days |
2 |
| 42380 |
matt-w-horn author:matt-w-horn |
feat(Algebra/Ring): add sum_range_id_mul_geometric_add |
Over a `CommRing`: `∑ k < m, k * (x ^ k * (1 - x)) + m * x ^ m = ∑ k ∈ Icc 1 m, x ^ k`. Summation by parts for the geometric sum; it computes the mean of a censored geometric distribution, which #42381 adds.
Used in Overload, a library on retry and overload dynamics, where it's stated over `ℝ` with a side condition that turns out to be unnecessary: https://github.com/matt-w-horn/overload/blob/4ecbebf/Overload/Retry/Amplification.lean
Claude Fable wrote the Lean from a spec I gave it. I reviewed and tested it myself, including adversarial tests and the suites in the library above, and did the same for its dependencies.
Assisted-by: Claude Fable 5 |
t-algebra
new-contributor
LLM-generated
label:t-algebra$ |
14/0 |
Mathlib/Algebra/Ring/GeomSum.lean |
1 |
4 |
['github-actions', 'matt-w-horn'] |
nobody |
13-11573 13 days ago |
50-597 50 days ago |
50-318 50 days |
0 |
| 38482 |
dagurtomas author:dagurtomas |
feat(CategoryTheory/Tactic): specialize_map attribute |
Adds `@[specialize_map F]` to specialize morphism equalities to a chosen functor template, with whiskering and tensor functors as examples. It reuses the `map` proof generator and universe ordering, preserves explicit and instance binders, and supports custom suffixes and additional attributes.
---
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[](https://gitpod.io/from-referrer/)
|
LLM-generated
t-category-theory
t-meta
|
349/6 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/CategoryTheory/Map.lean,Mathlib/Tactic/CategoryTheory/SpecializeMap.lean,MathlibTest/CategoryTheory/SpecializeMap.lean |
5 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
kim-em assignee:kim-em |
12-77012 12 days ago |
14-12351 14 days ago |
14-12087 14 days |
1 |
| 41517 |
sadasant author:sadasant |
feat(MeasureTheory): define Hellinger affinity |
Define the Hellinger affinity (Bhattacharyya coefficient) of two measures as an `ENNReal`-valued lintegral against the canonical dominating measure `μ + ν`, making the definition total with no absolute-continuity or integrability side conditions. Provide symmetry, invariance under the choice of sigma-finite dominating measure, the self-affinity of a probability measure, the `rnDeriv` and `withDensity` computation rules, the bound `≤ 1` for probability measures (via Hölder with `p = q = 2`), and the characterization that the affinity vanishes iff the measures are mutually singular. Groundwork for a formalization of Kakutani's dichotomy (1948) for infinite products of probability measures.
---
**Design notes.**
On the value type ("why not `ℝ` / `ℝ≥0` / `EReal`"): the `ℝ≥0∞`-valued lintegral against `μ + ν` makes the affinity total, which is what makes the singular direction of Kakutani's dichotomy (planned follow-up PRs) case-split-free — `hellingerAffinity_eq_zero_iff` already characterizes mutual singularity with no absolute-continuity hypothesis. `InformationTheory.klDiv` sets the precedent of an `ℝ≥0∞`-valued, standalone divergence-like quantity. The invariance lemma `hellingerAffinity_eq_lintegral_rnDeriv_mul_rnDeriv` recovers the textbook `∫ √(dμ/dρ · dν/dρ) dρ` for any σ-finite dominating `ρ`.
**Relation to f-divergences** (CC @RemyDegenne for coordination with the planned `fDiv` upstreaming from TestingLowerBounds): the affinity is the f-integral at `f = √·`, equivalently `1 −` the Hellinger-½ divergence, with `H²(μ,ν)/2 = 1 − affinity`. Rather than block on an unlanded framework, this PR keeps the affinity standalone (the `klDiv` pattern); when `fDiv` lands, a single bridging lemma of the shape `fDiv hellingerFun μ ν = 1 - hellingerAffinity μ ν` reconciles them, and I am happy to contribute it. Also happy to move the file to `Mathlib/InformationTheory/` if reviewers prefer that home over `Mathlib/MeasureTheory/Measure/`.
**Roadmap.** This is PR 1 of a planned sequence building toward Kakutani's dichotomy for `Measure.infinitePi` over an arbitrary index type (stronger than the textbook countable statement): the `lintegral` product Fubini and `Measure.pi_withDensity`, the infinite-product/summability bridges, then the singular and absolutely-continuous directions and the packaged dichotomy. Natural follow-up API for this file, available on request: `hellingerAffinity_pos_iff`, monotonicity in each argument, and the relation to the squared Hellinger distance once a distance exists.
**Attribution and AI disclosure.** This material was developed in the public [riemann-venue](https://github.com/idolum-ai/riemann-venue) repository by Daniel Rodriguez in collaboration with Claude Fable 5 (Anthropic), as part of a machine-checked formalization of Kakutani's dichotomy (1948) for infinite products of probability measures. The definitions, proofs, and the drafting of this description were done with Claude Fable 5 via Claude Code, working from a design and statement plan reviewed by the human author; all proofs are checked by Lean (`#print axioms` on the main results reports only `propext`, `Classical.choice`, `Quot.sound`), and the human author reviewed the final form, takes responsibility for it, and will answer all review comments personally. I am applying the `LLM-generated` label per the contribution guidelines. |
t-measure-probability
LLM-generated
new-contributor
|
214/0 |
Mathlib.lean,Mathlib/MeasureTheory/Measure/Hellinger.lean |
2 |
4 |
['github-actions', 'sadasant'] |
urkud assignee:urkud |
12-77011 12 days ago |
85-58 84 days ago |
84-86179 84 days |
0 |
| 42786 |
rshlyakh author:rshlyakh |
feat(Data/Finsupp/NatCard): count finsupps of bounded degree |
Adds the formula that the number of finitely-supported functions `α →₀ ℕ` with degree less than or equal to `n` is equal to `Nat.choose (Nat.card α + n) n`. The proof is by establishing an equivalence `Sym (Option α) n ≃ {f : α →₀ ℕ // f.degree ≤ n}` and using the stars-and-bars formula `Sym.equivNatSum.`
---
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[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
|
56/0 |
Mathlib.lean,Mathlib/Data/Finsupp/NatCard.lean |
2 |
2 |
['github-actions'] |
joneugster assignee:joneugster |
12-77006 12 days ago |
47-72879 47 days ago |
47-75234 47 days |
0 |
| 42823 |
attilavjda author:attilavjda |
chore: let `to_additive` generate hand-written additive twins |
In eight `to_additive` sites the additive declaration is written out by hand, but `@[to_additive]` on the multiplicative one generates the same statement.
This PR replaces the glue with a tag, deletes the twins, and `(attr := simp)` is used where the additive side must stay a simp lemma.
Aristotle AI found these duplicates, and suggested the solution.
---
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[](https://gitpod.io/from-referrer/)
|
tech debt
t-group-theory
new-contributor
|
1/1 |
Mathlib/GroupTheory/Nilpotent.lean |
1 |
6 |
['attilavjda', 'github-actions', 'mathlib-merge-conflicts', 'wwylele'] |
nobody |
12-48206 12 days ago |
12-49460 12 days ago |
45-33840 45 days |
0 |
| 43902 |
seewoo5 author:seewoo5 |
feat(Trigonometric): define coth and prove basic properties |
---
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Define `Complex.coth`, `Real.coth` and prove basic theorems (almost same as those of `tanh`). I found that there's `cot` but no `coth` yet.
[](https://gitpod.io/from-referrer/)
|
t-analysis |
37/0 |
Mathlib/Analysis/Complex/Trigonometric.lean |
1 |
8 |
['SnirBroshi', 'github-actions', 'luigi-massacci', 'seewoo5'] |
nobody |
12-47946 12 days ago |
13-54478 13 days ago |
14-5582 14 days |
0 |
| 43703 |
dicipler-pixel author:dicipler-pixel |
feat(GroupTheory/Coxeter): identify rank-two Coxeter groups with dihedral groups |
Identifies the Coxeter group associated to CoxeterMatrix.I m with DihedralGroup (m + 2).
The new file constructs the canonical homomorphism sending the two simple reflections to adjacent reflections, proves surjectivity, establishes a two-coset normal form in the presented Coxeter group, and uses that normal form to prove injectivity. It then exposes the resulting MulEquiv together with simp lemmas for the simple generators.
This makes precise the description already given in CoxeterMatrix.I's documentation that it is the Coxeter matrix for the symmetry group of the regular (m + 2)-gon.
Mathlib.lean was regenerated with lake exe mk_all. |
t-group-theory
new-contributor
|
206/0 |
Mathlib.lean,Mathlib/GroupTheory/Coxeter/Dihedral.lean |
2 |
10 |
['JX-Mo', 'dicipler-pixel', 'github-actions'] |
nobody |
12-46166 12 days ago |
12-46944 12 days ago |
12-49162 12 days |
0 |
| 43708 |
Thmoas-Guan author:Thmoas-Guan |
feat(RingTheory): definition of Koszul complex |
Definition of Koszul cocomplex.
---
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|
t-ring-theory |
188/0 |
Mathlib.lean,Mathlib/RingTheory/KoszulComplex/Complex.lean |
2 |
3 |
['Whysoserioushah', 'github-actions'] |
nobody |
12-46026 12 days ago |
20-42018 20 days ago |
20-41739 20 days |
3 |
| 43707 |
Thmoas-Guan author:Thmoas-Guan |
feat(RingTheory): definition of Koszul cocomplex |
Definition of Koszul complex.
---
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|
t-ring-theory |
172/0 |
Mathlib.lean,Mathlib/RingTheory/KoszulComplex/Cocomplex.lean |
2 |
1 |
['github-actions'] |
nobody |
12-45925 12 days ago |
20-42021 20 days ago |
20-41742 20 days |
2 |
| 43719 |
Thmoas-Guan author:Thmoas-Guan |
feat(LinearAlgebra): add API for exterior algebra of ring itself |
In this PR, we added some API for handling `ExteriorAlgebra R R`.
AI disclosure: the proof in section "self" is generated by AI after providing the final target definition and characterizing lemma.
---
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|
t-algebra label:t-algebra$ |
61/0 |
Mathlib/LinearAlgebra/ExteriorAlgebra/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
12-44510 12 days ago |
20-28758 20 days ago |
20-28479 20 days |
2 |
| 43958 |
kebekus author:kebekus |
feat: simplify computations in complex analysis by extracting frequently-used lemmas |
Simplify several computations in complex analysis by extracting lemmas that are used more than once. At present, the gain is real but modest. It will become more visible as more computations are added.
---
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|
t-analysis
LLM-generated
|
57/56 |
Mathlib/Analysis/Complex/JensenFormula.lean,Mathlib/Analysis/Complex/Trigonometric.lean,Mathlib/Analysis/SpecialFunctions/Complex/CircleMap.lean,Mathlib/Analysis/SpecialFunctions/Integrals/PosLog.lean |
4 |
1 |
['github-actions'] |
nobody |
12-44039 12 days ago |
12-44039 12 days ago |
12-43760 12 days |
0 |
| 43957 |
thomaskwaring author:thomaskwaring |
feat(Order/Hom): congruence of order homs by order isos |
Order isomorphisms between domains and codomains induce equivalences between types of order homomorphisms: `{Sup/Inf/Lattice/SupBot/InfTop/BoundedLattice/sSup/sInf/Frame/CompleteLattice}Hom`.
[](https://gitpod.io/from-referrer/)
|
t-order |
78/0 |
Mathlib/Order/Hom/BoundedLattice.lean,Mathlib/Order/Hom/CompleteLattice.lean,Mathlib/Order/Hom/Lattice.lean |
3 |
1 |
['github-actions'] |
nobody |
12-43976 12 days ago |
12-48660 12 days ago |
12-48408 12 days |
1 |
| 40948 |
Thmoas-Guan author:Thmoas-Guan |
feat(LinearAlgebra): exterior power commute with base change |
In this PR, we added the commute of exterior power and base change.
AI usage: filling in construction of the final equivalence with lemmas decribing it, all the preliminary constructions are refactored by human later.
Co-authored-by: Zichen Wang <zichenwang25@stu.pku.edu.cn>
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
LLM-generated
label:t-algebra$ |
229/0 |
Mathlib.lean,Mathlib/LinearAlgebra/ExteriorPower/BaseChange.lean |
2 |
3 |
['github-actions', 'grunweg', 'mathlib-merge-conflicts'] |
ocfnash assignee:ocfnash |
12-43379 12 days ago |
21-27719 21 days ago |
97-35951 97 days |
1 |
| 43158 |
Thmoas-Guan author:Thmoas-Guan |
refactor(Ideal/Cotangent): make `Ideal.Cotangent` implicit reducible |
In this PR we make `Ideal.Cotangent` implicit reducible and remove some `set_option`s.
Authored-by: @Whysoserioushah
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|
tech debt |
14/19 |
Mathlib/RingTheory/Ideal/Cotangent.lean |
1 |
15 |
['Thmoas-Guan', 'github-actions', 'jjdishere', 'leanprover-radar', 'mathlib-merge-conflicts', 'pelicanhere'] |
pelicanhere assignee:pelicanhere |
12-42041 12 days ago |
23-22332 23 days ago |
35-42282 35 days |
0 |
| 43963 |
vihdzp author:vihdzp |
chore(Topology/CantorBendixson): minor cleanup |
`CantorBendixson` is not a type, and the names in this file shouldn't clash with anything else, so we un-namespace the material in this file.
We also rewrap some lines and perform minor golfs.
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I haven't added deprecations since the material here is quite new, but I can add them if they're nevertheless wanted.
[](https://gitpod.io/from-referrer/)
|
t-topology |
18/38 |
Mathlib/Topology/CantorBendixson.lean |
1 |
1 |
['github-actions'] |
nobody |
12-36997 12 days ago |
12-38263 12 days ago |
12-38070 12 days |
0 |
| 42833 |
YaelDillies author:YaelDillies |
feat(Combinatorics/SimpleGraph/Connectivity): efficient decidability instances |
Currently, the `DecidableRel G.Reachable` instance provided by mathlib works by enumerating *all* walks from `u` to `v` of length less than `Fintype.card V`, which takes time exponential in the number of vertices. Currently also, the `Decidable G.Preconnected` and `Decidable G.Connected` instances build on the `DecidableRel G.Reachable` one and suffer from the same exponential slowdown.
This PR reworks those instances to use breadth-first search, which is polynomial in the number of vertices. Since the BFS doesn't depend on the starting vertex, we wrap it in `Trunc` to cut down an unnecessary factor of `Fintype.card V` (this makes a difference only if the graph is NOT preconnected).
This showed up in FormalConjectures because a contributor used `decide +native` to prove that some concrete graph on 11 vertices was connected. Their proof timed out while I was bumping the repo to v4.30.
Also make `G` implicit in a bunch of non-rewriting lemmas.
From FormalConjectures
Generated by Claude Opus following my idea, largely rewritten manually afterwards.
Assisted-by: Claude Opus 4.8
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|
t-combinatorics
LLM-generated
|
343/31 |
Mathlib/Combinatorics/SimpleGraph/Connectivity/Finite.lean,Mathlib/Combinatorics/SimpleGraph/Tutte.lean,Mathlib/Data/Fintype/Basic.lean,Mathlib/Data/List/Nodup.lean,MathlibTest/SimpleGraph.lean |
5 |
9 |
['SnirBroshi', 'YaelDillies', 'b-mehta', 'github-actions'] |
nobody |
12-28610 12 days ago |
12-33494 12 days ago |
14-50100 14 days |
0 |
| 43966 |
xroblot author:xroblot |
feat(NumberTheory/NumberField/Ideal/KummerDedekind): start from a prime rather than from a factor |
The two Kummer-Dedekind lemmas giving the ramification index and the residual degree are stated for the ideal attached to a factor of the minimal polynomial. Starting instead from a prime above `p`, as one usually does, means going through the equivalence and back. This adds the two statements in that direction, and uses them to shorten the two proofs in `Cyclotomic/Ideal.lean` that were doing the round trip by hand.
It also adds a few lemmas unfolding what it means to belong to `monicFactorsMod`.
Prepared with Claude Code 🤖
---
|
t-number-theory |
60/20 |
Mathlib/NumberTheory/NumberField/Cyclotomic/Ideal.lean,Mathlib/NumberTheory/NumberField/Ideal/KummerDedekind.lean |
2 |
1 |
['github-actions'] |
nobody |
12-22056 12 days ago |
12-25269 12 days ago |
12-24990 12 days |
1 |
| 43901 |
vlad902 author:vlad902 |
feat(AffineSpace): characterize affine subspaces of dimension 0 and 1 |
---
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[](https://gitpod.io/from-referrer/)
|
t-convex-geometry |
94/10 |
Mathlib/Algebra/Order/Monoid/Unbundled/WithTop.lean,Mathlib/LinearAlgebra/AffineSpace/Dimension.lean,Mathlib/Order/WithBot.lean |
3 |
2 |
['github-actions', 'vlad902'] |
nobody |
12-19551 12 days ago |
13-62962 13 days ago |
13-67994 13 days |
0 |
| 33466 |
Shreyas4991 author:Shreyas4991 |
refactor(Combinatorics/Digraph): add vertex sets |
---
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|
t-combinatorics
large-import
|
208/58 |
Mathlib/Combinatorics/Digraph/Basic.lean,Mathlib/Combinatorics/Digraph/Orientation.lean |
2 |
224 |
['IvanRenison', 'Shreyas4991', 'SnirBroshi', 'YaelDillies', 'copilot-pull-request-reviewer', 'github-actions', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'vihdzp', 'vlad902'] |
SnirBroshi assignee:SnirBroshi |
11-83393 11 days ago |
27-80173 27 days ago |
60-73462 60 days |
0 |
| 42125 |
NoneMore author:NoneMore |
feat(SetTheory/Cardinal): add cardinality bounds for direct limits |
Add an equivalence between a direct limit and its component at an upper-bound index. Use it to prove upper and lower cardinality bounds and criteria for computing the cardinality of direct limits.
---
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[](https://gitpod.io/from-referrer/)
|
LLM-generated
t-set-theory
|
109/0 |
Mathlib.lean,Mathlib/Order/DirectedInverseSystem.lean,Mathlib/SetTheory/Cardinal/DirectLimit.lean |
3 |
2 |
['felixpernegger', 'github-actions'] |
nobody |
11-79025 11 days ago |
66-58521 66 days ago |
66-58242 66 days |
2 |
| 42188 |
arcaputo3 author:arcaputo3 |
feat(Combinatorics/SimpleGraph): the line graph signature identity |
For a finite simple graph `G` with `n` vertices and `m` edges, we prove the classical identity
`s(A(L(G))) = n - m + p - q`
where `s` is the signature of the (real) adjacency matrix of the line graph `L(G)`, and `(p, q)` are the numbers of positive/negative eigenvalues of `Q(G) - 2•1`, with `Q(G) = D(G) + A(G)` the signless Laplacian, all counted with multiplicity.
The proof is the Gram-pairing argument: the `V × E(G)` incidence matrix `B` satisfies `Bᵀ * B = A(L(G)) + 2•1` and `B * Bᵀ = Q(G)`, and the two products have equal nonzero spectra by `Matrix.charpoly_mul_comm'`. Eigenvalue counts are transported along the resulting root-multiset identity.
New declarations:
- `Mathlib/Analysis/Matrix/Inertia.lean`: the inertia indices `Matrix.IsHermitian.posInertia` / `negInertia` / `signature` of a real symmetric matrix, and `Matrix.IsHermitian.charpoly_add_smul_one` / `roots_charpoly_add_smul_one` (the characteristic polynomial of `A + c • 1` splits over the shifted eigenvalues).
- `Mathlib/Combinatorics/SimpleGraph/LineGraphSignature.lean`: `SimpleGraph.signlessLapMatrix`, `SimpleGraph.edgeIncMatrix` (the `V × E(G)`-indexed incidence matrix) together with the two Gram identities above (stated over an arbitrary (non-assoc) semiring), a `DecidableRel` instance for `lineGraph.Adj`, and the main theorem `SimpleGraph.signature_adjMatrix_lineGraph`.
---
**AI disclosure** (per the mathlib policy on AI-assisted contributions): this PR was formalized end-to-end with Claude Code (Anthropic model Claude Fable 5). The choice of statement and the decision to contribute are mine; the Lean proofs were authored by the tool and verified by compilation. `#print axioms SimpleGraph.signature_adjMatrix_lineGraph` reports `[propext, Classical.choice, Quot.sound]`.
Notes for reviewers:
- `signlessLapMatrix` could alternatively live in `Mathlib/Combinatorics/SimpleGraph/LapMatrix.lean`, and the `DecidableRel G.lineGraph.Adj` instance in `LineGraph.lean`; happy to move them.
- The inertia API is deliberately minimal (what the main theorem needs); extensions (e.g. rank/inertia relations, congruence invariance / Sylvester's law) would be natural follow-ups.
- I do not yet have push access to non-master mathlib branches, so this PR comes from a fork; happy to move the branch onto the main repository once access is granted.
🤖 Generated with [Claude Code](https://claude.com/claude-code)
|
new-contributor
LLM-generated
t-combinatorics
|
326/0 |
Mathlib.lean,Mathlib/Analysis/Matrix/Inertia.lean,Mathlib/Combinatorics/SimpleGraph/LineGraphSignature.lean |
3 |
2 |
['github-actions'] |
nobody |
11-78806 11 days ago |
65-28421 65 days ago |
65-28142 65 days |
0 |
| 43216 |
JadAbouHawili author:JadAbouHawili |
feat(Combinatorics/SimpleGraph/Clique): independence number is zero iff the graph has no vertices |
---
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|
new-contributor
t-combinatorics
|
46/3 |
Mathlib/Combinatorics/SimpleGraph/Clique.lean |
1 |
45 |
['JadAbouHawili', 'SnirBroshi', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
11-78746 11 days ago |
26-17883 26 days ago |
29-80194 29 days |
0 |
| 43081 |
joelriou author:joelriou |
feat(LinearAlgebra/ExteriorPower): generators of the exterior powers |
---
This PR continues the work from #18662.
Original PR: https://github.com/leanprover-community/mathlib4/pull/18662
- [x] depends on: #18534
- [x] depends on: #18590
- [x] depends on: #26464
|
t-algebra label:t-algebra$ |
114/0 |
Mathlib.lean,Mathlib/Data/Finset/Sort.lean,Mathlib/LinearAlgebra/ExteriorPower/Generators.lean |
3 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
11-78739 11 days ago |
14-4131 14 days ago |
37-38242 37 days |
1 |
| 43795 |
harahu author:harahu |
feat(Logic/Function/Basic): add `Injective.existsUnique_iff_exists` |
We add `Injective.existsUnique_iff_exists` and use it to golf existing proofs.
This PR was created with assistance from Codex.
---
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|
t-logic |
18/43 |
Mathlib/Algebra/Field/IsField.lean,Mathlib/AlgebraicTopology/SimplicialSet/NonDegenerateSimplices.lean,Mathlib/Basic/Rel.lean,Mathlib/CategoryTheory/Limits/Types/Equalizers.lean,Mathlib/Data/Set/Image.lean,Mathlib/GroupTheory/ArchimedeanDensely.lean,Mathlib/Logic/Function/Basic.lean,Mathlib/RingTheory/Polynomial/Cyclotomic/Basic.lean |
8 |
3 |
['github-actions', 'harahu', 'leanprover-radar'] |
nobody |
11-78604 11 days ago |
17-11106 17 days ago |
17-10827 17 days |
0 |
| 43868 |
JovanGerb author:JovanGerb |
feat(ClickSuggestions): suggest normalizing tactics |
This PR extends `#click_suggestions` with a new feature: suggestions for normalization tactics like `simp` and `ring_nf`.
We dedicate a single thread for this, and leave the other threads to do the rest of the `#click_suggestions` computations. The results are shown as soon as they are ready, so if one tactic takes a long time to evaluate, the ones that were evaluated before that are already shown.
In order to keep `#click_suggestions` low in the import hierarchy, I implemented an extensible mechanism, and use that to register more import-heavy tactics like `ring_nf`.
When a subexpression is selected, `conv` is used to zoom in to that expression, so that the normalization is localized. Some tactics do not currently have a `conv` variant. In that case we don't use `conv`, which I think is perfectly fine.
This PR also comes with some improvements to the frontend:
- Instead of every button containing the text `[apply]`, it will now show the name of the tactic: this can be `[apply]`, `[rw]` or `[grw]`, and similarly for normalization tactics, e.g. `[simp]` or `[ring_nf]`.
- The title of each section now doesn't anymore say the name of the tactic, but instead it says "Pattern" followed by the pattern that that section matches with. It already used to be like this in `rw??`, and I think this makes it clearer that this expression is a pattern. All the section titles are now capitalized. See also #43842 which makes a related change.
- If a suggestion solves the goal, then the button is prefixed with the :tada: emoji.
Some notes about the supported tactics:
- `push +distrib Not` is only suggested if it acts differently from `push Not`
- `dsimp` is only suggested if it acts differently from `dsimp only`, and similarly `simp` for `dsimp`.
- `abel_nf` and `noncomm_ring` are not suggested for commutative rings, because then `ring_nf` is better
- `module_nf` is not suggested when the inferred base ring is `Nat` or `Int`, because then `abel_nf` suffices.
- I made the unnatural choice to suggest `norm_num1` instead of `norm_num`. This is because `norm_num` also runs `simp`, and it would be weird to suggest `norm_num` in places where `simp` does the same.
This PR also improves the implementation of `isExplicitEq`. Previously, it would not recurse into binders, and hence declare some expression as not equal when they should be considered equal by it. Previously, this wasn't really an issue, but now it is more relevant because e.g. `norm_cast` can make changes in implicit arguments that are under some binder - I've added a test for this case.
---
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|
t-meta
large-import
|
565/77 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Abel.lean,Mathlib/Tactic/ClickSuggestions.lean,Mathlib/Tactic/ClickSuggestions/Apply.lean,Mathlib/Tactic/ClickSuggestions/ApplyAt.lean,Mathlib/Tactic/ClickSuggestions/GRewrite.lean,Mathlib/Tactic/ClickSuggestions/Normalize.lean,Mathlib/Tactic/ClickSuggestions/Rewrite.lean,Mathlib/Tactic/ClickSuggestions/SectionState.lean,Mathlib/Tactic/ClickSuggestions/TryPremises.lean,Mathlib/Tactic/ClickSuggestions/Unfold.lean,Mathlib/Tactic/ClickSuggestions/Util.lean,Mathlib/Tactic/FieldSimp.lean,Mathlib/Tactic/Group.lean,Mathlib/Tactic/ModuleNF.lean,Mathlib/Tactic/NoncommRing.lean,Mathlib/Tactic/NormNum/Core.lean,Mathlib/Tactic/Ring/RingNF.lean,MathlibTest/ClickSuggestions/Normalize.lean,MathlibTest/ClickSuggestions/Test.lean |
21 |
3 |
['JovanGerb', 'github-actions'] |
nobody |
11-77895 11 days ago |
13-42660 13 days ago |
13-62287 13 days |
0 |
| 40448 |
ChiCubed author:ChiCubed |
feat(LinearAlgebra/Dimension): tower law for algebraic extensions |
We generalise the tower law for `Module.rank` to the situation of a module over an algebraic extension of domains.
---
See [the Zulip thread](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Tower.20law.20for.20.60Module.2Erank.60/) for some associated discussion.
I am not sure about in which file these results should live, or what their names should be. For the file I have gone with `LinearAlgebra/Dimension/Algebraic.lean` for now, because these feel more like dimension theorems than `Algebra.IsAlgebraic` theorems, and IMO do not logically fit into the other existing files in `LinearAlgebra/Dimension`.
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|
t-algebra
new-contributor
label:t-algebra$ |
309/11 |
Mathlib.lean,Mathlib/Algebra/Group/Action/Faithful.lean,Mathlib/LinearAlgebra/Dimension/Domain.lean,Mathlib/LinearAlgebra/Dimension/Free.lean,Mathlib/RingTheory/Algebraic/Integral.lean,Mathlib/RingTheory/Localization/FractionRing.lean |
6 |
27 |
['ChiCubed', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts', 'tb65536', 'themathqueen'] |
kim-em assignee:kim-em |
11-77742 11 days ago |
11-82417 11 days ago |
108-61104 108 days |
0 |
| 38606 |
dennj author:dennj |
feat: preparation for Vanishing Sum of Roots of Unity |
Adds the Mathlib API extensions needed for an upcoming formalization of the Lam-style classification theorem for vanishing sums of roots of unity.
* Mathlib/LinearAlgebra/LinearIndependent/Lemmas.lean
+ `exists_eq_const_of_sum_smul_eq_zero_of_sum_eq_zero_of_linearIndependent`: if `∑ vᵢ = 0` and the first `n-1` of `n` vectors are linearly independent, every linear relation has constant coefficients.
* Mathlib/RingTheory/Radical/NatInt.lean
+ `Nat.totient_eq_div_radical_mul_totient_radical`: Euler's totient splits as `φ(n) = (n / rad n) * φ(rad n)`.
* Mathlib/RingTheory/RootsOfUnity/PrimitiveRoots.lean
+ `IsPrimitiveRoot.sum_range_pow_mul_div_eq_zero_of_dvd`: the `d` evenly-spaced powers of a primitive `k`-th root sum to zero, for `d ∣ k` and `1 < d`.
* Mathlib/NumberTheory/Cyclotomic/LinearDisjoint.lean (new)
+ `IsPrimitiveRoot.linearDisjoint_adjoin_pow_of_coprime`: cyclotomic subfields of coprime orders are linearly disjoint over `ℚ`.
* Mathlib/NumberTheory/Cyclotomic/LinearRelations.lean (new)
+ `IsPrimitiveRoot.coeffs_eq_of_sum_pow_eq_zero_prime_coprime`: in the cyclotomic field of order `p * m` with `p` prime coprime to `m`, any `ℚ⟮ζ^p⟯`-linear relation among powers of `ζ^m` has all coefficients equal.
---
I need these as preparation to start formalizing the theorem:
Let k be a positive integer. If a finite family of complex k-th roots of unity sums to zero, then the size of the family is a non-negative integer combination of the prime divisors of k.
---
Human-made PR with AI used for golfing and documentation |
new-contributor
t-algebra
label:t-algebra$ |
219/0 |
Mathlib.lean,Mathlib/LinearAlgebra/LinearIndependent/Lemmas.lean,Mathlib/NumberTheory/Cyclotomic/LinearDisjoint.lean,Mathlib/NumberTheory/Cyclotomic/LinearRelations.lean,Mathlib/RingTheory/Radical/Totient.lean,Mathlib/RingTheory/RootsOfUnity/PrimitiveRoots.lean |
6 |
4 |
['github-actions', 'mathlib-merge-conflicts'] |
alreadydone assignee:alreadydone |
11-77016 11 days ago |
105-77521 105 days ago |
114-22490 114 days |
0 |
| 42667 |
gasparattila author:gasparattila |
chore: make `Set.inclusion` semireducible |
It is currently an abbrev, which confuses `fun_prop` due to dependent types in lemmas like `Topology.IsEmbedding.inclusion`. After this change, `fun_prop` will be able to prove goals like `IsEmbedding f → IsEmbedding (Set.inclusion h ∘ f)`.
---
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|
t-data |
18/15 |
Mathlib/Algebra/Algebra/Subalgebra/Directed.lean,Mathlib/Combinatorics/Compactness.lean,Mathlib/Data/Set/Inclusion.lean,Mathlib/Data/Set/UnionLift.lean,Mathlib/Logic/Equiv/Set.lean,Mathlib/ModelTheory/Fraisse.lean,Mathlib/ModelTheory/PartialEquiv.lean,Mathlib/ModelTheory/Substructures.lean,Mathlib/Order/CountableDenseLinearOrder.lean,Mathlib/Topology/Category/TopCat/Opens.lean,Mathlib/Topology/Covering/Basic.lean,Mathlib/Topology/UniformSpace/UniformEmbedding.lean |
12 |
4 |
['gasparattila', 'github-actions', 'plp127'] |
TwoFX assignee:TwoFX |
11-77008 11 days ago |
50-615 50 days ago |
50-38253 50 days |
0 |
| 41830 |
Jun2M author:Jun2M |
feat(Data/PFun): add lemmas for ran, restrict, map, image and preimage |
Add missing simp / API lemmas for partial functions, and strengthen `preimage_inter`
from a subset inclusion to an equality. Also tag a few `Part` uniqueness lemmas
for `grind`.
- `Part`: `grind` attributes on `get_mem`, `mem_unique`, `mem_right_unique`
- `ran`: `ran_coe`, `ran_eq_empty_iff_dom_eq_empty`
- `restrict`: `dom_restrict`, `restrict_restrict`, `ran_restrict`, `preimage_restrict`
- `map`: `dom_map`, `mem_map`, `ran_map`, `image_map`, `preimage_map`
- `image` / `preimage`: `image_subset_ran`, `preimage_empty`,
`disjoint_preimage_of_disjoint`, plus `simp`/`gcongr` attributes
---
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-->
[](https://gitpod.io/from-referrer/)
|
t-data
maintainer-merge
|
86/3 |
Mathlib/Data/PFun.lean,Mathlib/Data/Part.lean |
2 |
3 |
['github-actions', 'joneugster'] |
nobody |
11-76117 11 days ago |
77-10954 77 days ago |
77-10675 77 days |
0 |
| 42971 |
ashebson author:ashebson |
fix(ProfiniteGrp): simplify explicit limit projections |
The naturality proof for `ProfiniteCompletion.lift` previously needed a brittle pointwise `change`. The underlying problem was that simplification crossed several semireducible diagram/forgetful-functor boundaries at once, producing terms that are definitionally equal but no longer type-correct at implicit transparency.
This PR:
- makes the two finite-quotient diagram composites reducible abbreviations;
- states `quotientMap` using the diagram object types and maps it through the existing `FiniteGrp ⥤ ProfiniteGrp` forgetful functor;
- adds a pointwise rewrite lemma for an explicit limit projection followed by a mapped finite-group morphism (with its additive counterpart); and
- rewrites `ProfiniteCompletion.lift` naturality through that API while keeping the limit point bundled, removing the problematic pointwise `change`.
--------
## AI disclosure
AI (OpenAI Codex) was used extensively for this PR. It was used to:
- investigate the original TODO and reproduce why `dsimp` failed;
- explore and discard several possible fixes;
- identify the semireducible diagram/forgetful-functor boundaries involved;
- design and implement the final `ProfiniteGrp` API simplification and `ProfiniteCompletion.lift` proof changes;
- run the relevant Lean builds and direct compilation checks; and
- draft the commit message and PR description.
The final changes were reviewed through the resulting diff and verified locally.
|
t-topology
new-contributor
LLM-generated
|
29/12 |
Mathlib/Topology/Algebra/Category/ProfiniteGrp/Basic.lean,Mathlib/Topology/Algebra/Category/ProfiniteGrp/Completion.lean,Mathlib/Topology/Algebra/Category/ProfiniteGrp/Limits.lean |
3 |
9 |
['ashebson', 'github-actions', 'grunweg', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
11-52706 11 days ago |
11-53928 11 days ago |
25-12436 25 days |
0 |
| 43985 |
kebekus author:kebekus |
feat: API for working with canonical factors |
To prepare for upcoming work in Value Distribution Theory, add three elementary lemmas on canonical factors and their derivatives.
This material is used in [Project VD](https://github.com/kebekus/ProjectVD), formalizing Value Distribution Theory for meromorphic functions on the complex plane. Claude Code was used to create this PR.
---
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[](https://gitpod.io/from-referrer/)
|
t-analysis
LLM-generated
|
86/0 |
Mathlib/Analysis/Complex/CanonicalDecomposition.lean |
1 |
1 |
['github-actions'] |
nobody |
11-46173 11 days ago |
11-46173 11 days ago |
11-45894 11 days |
0 |
| 42136 |
mitchell-horner author:mitchell-horner |
feat(Combinatorics/SimpleGraph): API for `labelledCopyCount` |
Add API for `SimpleGraph.labelledCopyCount`.
---
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
63/1 |
Mathlib/Combinatorics/SimpleGraph/Copy.lean |
1 |
1 |
['github-actions'] |
nobody |
11-44053 11 days ago |
66-35084 66 days ago |
66-34805 66 days |
1 |
| 42137 |
mitchell-horner author:mitchell-horner |
feat(Combinatorics/SimpleGraph): bounds for `extremalNumber` and `turanDensity` |
Add bounds for `extremalNumber` and `turanDensity`.
---
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
35/0 |
Mathlib/Combinatorics/SimpleGraph/Extremal/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Extremal/TuranDensity.lean |
2 |
7 |
['SnirBroshi', 'b-mehta', 'github-actions', 'mitchell-horner'] |
nobody |
11-43456 11 days ago |
33-39918 33 days ago |
66-33834 66 days |
1 |
| 33077 |
YaelDillies author:YaelDillies |
feat(Basic/Rel): balls |
Define `SetRel.ball` and use it in place of `UniformSpace.ball`.
---
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[](https://gitpod.io/from-referrer/)
|
t-data
maintainer-merge
|
392/299 |
Mathlib/Basic/Rel.lean,Mathlib/Basic/Rel/Cover.lean,Mathlib/Dynamics/TopologicalEntropy/CoverEntropy.lean,Mathlib/Dynamics/TopologicalEntropy/DynamicalEntourage.lean,Mathlib/Dynamics/TopologicalEntropy/NetEntropy.lean,Mathlib/Dynamics/TopologicalEntropy/Semiconj.lean,Mathlib/Dynamics/TopologicalEntropy/Subset.lean,Mathlib/MeasureTheory/Measure/LevyProkhorovMetric.lean,Mathlib/MeasureTheory/Measure/RegularityCompacts.lean,Mathlib/RingTheory/LaurentSeries.lean,Mathlib/Topology/Algebra/Module/LocallyConvex.lean,Mathlib/Topology/EMetricSpace/Basic.lean,Mathlib/Topology/MetricSpace/Pseudo/Defs.lean,Mathlib/Topology/MetricSpace/Pseudo/Lemmas.lean,Mathlib/Topology/Metrizable/Basic.lean,Mathlib/Topology/Semicontinuity/Hemicontinuity.lean,Mathlib/Topology/Sequences.lean,Mathlib/Topology/UniformSpace/Basic.lean,Mathlib/Topology/UniformSpace/Cauchy.lean,Mathlib/Topology/UniformSpace/Closeds.lean,Mathlib/Topology/UniformSpace/Compact.lean,Mathlib/Topology/UniformSpace/CompactConvergence.lean,Mathlib/Topology/UniformSpace/Defs.lean,Mathlib/Topology/UniformSpace/Equicontinuity.lean,Mathlib/Topology/UniformSpace/HeineCantor.lean,Mathlib/Topology/UniformSpace/Separation.lean,Mathlib/Topology/UniformSpace/Ultra/Basic.lean,Mathlib/Topology/UniformSpace/UniformConvergenceTopology.lean,Mathlib/Topology/UniformSpace/UniformEmbedding.lean,Mathlib/Topology/UniformSpace/Uniformizable.lean |
30 |
7 |
['SnirBroshi', 'YaelDillies', 'github-actions', 'joneugster', 'mathlib-merge-conflicts'] |
nobody |
11-40131 11 days ago |
17-36064 17 days ago |
24-61071 24 days |
0 |
| 43886 |
gabriel-turinici author:gabriel-turinici |
feat(Analysis/Asymptotics): add Filter.Tendsto.weighted_cesaro_smul |
Adds `Filter.Tendsto.weighted_cesaro_smul`, a weighted (Toeplitz-type) generalization of `Filter.Tendsto.cesaro_smul`: if `S k → L` and `w k ≥ 0` has divergent partial sums, the weighted running average of `S` w.r.t. `w` also tends to `L`. Recovers `cesaro_smul` as the `w ≡ 1` case. Also adds `weighted_cesaro`, the real-valued convenience wrapper mirroring `cesaro`.
This is a small building block toward a planned follow-up PR formalizing Kronecker's lemma, at its turn needed in some stochastic analysis setting.
---
**AI disclosure**: this proof was developed using formatting assistance, library search and code corrections from Claude Code (Claude Sonnet 5) and a personal LLM automation. Alternative, shorter, proofs can be obtained with `IsLittleO`-style but that style seems too recent for me now.
[](https://gitpod.io/from-referrer/) |
t-analysis
new-contributor
LLM-generated
|
81/0 |
Mathlib/Analysis/Asymptotics/SpecificAsymptotics.lean |
1 |
2 |
['github-actions'] |
nobody |
11-32015 11 days ago |
15-994 15 days ago |
15-715 15 days |
0 |
| 34078 |
joneugster author:joneugster |
feat(scripts/autolabel): add more label dependencies |
Add more label dependencies.
---
- [x] depends on: #34948
- [x] depends on: #34949
- [x] depends on: #34066
- [x] depends on: #34079
- [x] depends on: #34677
- [x] depends on: #34678
- [x] depends on: #34952
- [x] depends on: #36242
[](https://gitpod.io/from-referrer/)
|
CI |
31/11 |
scripts/autolabel.lean |
1 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
11-23600 11 days ago |
43-84814 43 days ago |
43-84820 43 days |
0 |
| 44005 |
seewoo5 author:seewoo5 |
feat(MonotoneConvergence): strict versions of `ge_of_tendsto` |
---
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Strict versions of `Monotone.ge_of_tendsto` and similar theorems: `StrictMono.gt_of_tendsto`, `StrictMono.lt_of_tendsto`, `StrictAnti.lt_of_tendsto`, `StrictAnti.gt_of_tendsto`. These require extra hypothesis such as `NoMaxOrder β` or `NoMinOrder β`. Claude is used to find the hypothesis and write initial proofs.
Context: In Sphere packing project, there is an inequality of the form $f(t) < L$ for a strictly decreasing function $f$ on $(0, \infty)$ with $\lim_{t \to 0^+} f(t) = L$. Currently, this is proved by $f(t) < f(t/2) \le L$, where the last step uses `ge_of_tendsto`. With new theorems in this PR, we don't need to consider $f(t/2)$ anymore (by using `StrictAnti.gt_of_tendsto`).
[](https://gitpod.io/from-referrer/)
|
t-topology
LLM-generated
sphere-packing
|
28/0 |
Mathlib/Topology/Order/MonotoneConvergence.lean |
1 |
1 |
['github-actions'] |
nobody |
11-23010 11 days ago |
11-25652 11 days ago |
11-25373 11 days |
0 |
| 29744 |
espottesmith author:espottesmith |
feat(Combinatorics): define directed hypergraphs |
This PR defines directed hypergraphs:
```
@[ext]
structure DiHypergraph (α : Type*) where
/-- The vertex set -/
vertexSet : Set α
/-- The edge set -/
edgeSet : Set ((Set α) × (Set α))
/-- Each edge is a pair (s, d), where s ⊆ vertexSet and d ⊆ vertexSet -/
edge_src_dst_isSubset_vertexSet' : ∀ ⦃e⦄, e ∈ edgeSet → e.1 ⊆ vertexSet ∧ e.2 ⊆ vertexSet
```
Additional definitions:
- tail/head stars and negative/positive stars
- some special cases (B-Graph, F-Graph, BF-Graph, and what I'm calling a "non-endless" dihypergraph, where neither the source/tail nor the destination/head are empty)
- Vertex and (hyper)edge adjacency
- isolated vertices
- empty and nonempty dihypergraphs
The design employed here is based off of #28613, but this PR does not depend on that one.
---
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
290/0 |
Mathlib.lean,Mathlib/Combinatorics/DiHypergraph/Basic.lean |
2 |
12 |
['SnirBroshi', 'b-mehta', 'espottesmith', 'github-actions', 'mathlib4-merge-conflict-bot', 'pimotte'] |
nobody |
11-16933 11 days ago |
102-25155 102 days ago |
239-28624 239 days |
1 |
| 43780 |
SashaIr author:SashaIr |
feat: q-analogs |
An implementation of q-analogs, q-binomials, and counting results.
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-combinatorics
|
965/0 |
Mathlib.lean,Mathlib/Combinatorics/QAnalog/Basic.lean,Mathlib/Combinatorics/QAnalog/Binomial.lean,Mathlib/Combinatorics/QAnalog/Counting.lean,Mathlib/Combinatorics/QAnalog/Subspace.lean |
5 |
7 |
['SashaIr', 'SnirBroshi', 'b-mehta', 'github-actions'] |
nobody |
11-7676 11 days ago |
18-5646 18 days ago |
18-5723 18 days |
0 |
| 42665 |
SnirBroshi author:SnirBroshi |
chore(SimpleGraph/Coloring/Constructions): some golfs |
Also remove the `2 ≤ n` hypothesis from `cycleGraph.tricoloring`, and spell `two_colorable_iff_forall_loop_even` using `IsBipartite`.
---
- `cycleGraph.tricoloring`: 165ms to 110ms
- `chromaticNumber_cycleGraph_of_odd`: 25ms to 55ms
- `two_colorable_iff_forall_loop_even`: 50ms to 40ms
- `IsTree.coloringTwoOfVert`: 45ms to 75ms
- `IsAcyclic.coloringTwoOfVerts`: 50ms to 50ms
The issues in `tricoloring` kinda remind me of #41338; maybe there's a good lemma that'll help them both, not sure.
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|
t-combinatorics |
38/65 |
Mathlib/Algebra/Ring/Parity.lean,Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/Constructions.lean |
3 |
7 |
['SnirBroshi', 'b-mehta', 'github-actions'] |
nobody |
10-81321 10 days ago |
51-5665 51 days ago |
51-5386 51 days |
0 |
| 38334 |
8e7 author:8e7 |
feat(Combinatorics/SimpleGraph/TreeDecomp): define tree decompositions |
Add definition for tree decompositions on simple graphs. Define the tree width of a simple graph and prove basic statements and conversions.
```lean
structure TreeDecomp (G : SimpleGraph V) (W : Type) where
/-- The set of vertices in each bag. -/
bag : W → Finset V
/-- The graph adjacency relation of bags. -/
tree : SimpleGraph W
/-- T must be a tree. -/
isTree : IsTree tree
/-- All vertices in G must appear in some bag. -/
vertexCover : ∀ v : V, ∃ w : W, v ∈ bag w
/-- For any edge (u, v) in G, there is a bag containing both u and v. -/
edgeCover ⦃u v : V⦄ : G.Adj u v → ∃ w : W, u ∈ bag w ∧ v ∈ bag w
/-- For any vertex v in G, the set of bags that contain v is preconnected. -/
connectedBags : ∀ v : V, (tree.induce ({w | v ∈ bag w})).Preconnected
```
AI Usage: Some proofs are written with the help of Claude Code, and everything has been manually reviewed.
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|
new-contributor
t-combinatorics
LLM-generated
|
395/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/TreeDecomp.lean |
2 |
42 |
['8e7', 'SnirBroshi', 'YaelDillies', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
10-76117 10 days ago |
67-64155 67 days ago |
91-47211 91 days |
1 |
| 42042 |
ijtejeda author:ijtejeda |
feat(MeasureTheory/OuterMeasure) more API for Caratheodory |
Add more basic facts about outer measures. This includes Caratheodory measurability of measure-zero sets, a property that we use repeatedly in our formalization of Mastrand's theorem.
---
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|
LLM-generated
new-contributor
t-measure-probability
maintainer-merge
|
8/0 |
Mathlib/MeasureTheory/OuterMeasure/Caratheodory.lean |
1 |
15 |
['CoolRmal', 'github-actions', 'ijtejeda', 'tdwag123'] |
nobody |
10-76114 10 days ago |
32-13087 32 days ago |
57-82779 57 days |
0 |
| 44027 |
kim-em author:kim-em |
chore(RingTheory/Unramified/LocalRing): explain the backward.inferInstanceAs.wrap.data option |
This PR adds a comment explaining why `FormallyUnramified.isField_quotient_map_maximalIdeal` needs `set_option backward.inferInstanceAs.wrap.data false`, and that the option can be removed once https://github.com/leanprover/lean4/issues/13408 (Kernel error for `inferInstanceAs` with let declarations) is fixed. A fix is proposed in https://github.com/leanprover/lean4/pull/15245.
🤖 Prepared with Claude Code |
t-ring-theory |
3/0 |
Mathlib/RingTheory/Unramified/LocalRing.lean |
1 |
1 |
['github-actions'] |
nobody |
10-57564 10 days ago |
10-58931 10 days ago |
10-58652 10 days |
0 |
| 43523 |
EtienneC30 author:EtienneC30 |
feat: generalize `iIndepFun.indepFun_finset` to arbitrary index sets |
Generalize [ProbabilityTheory.iIndepFun.indepFun_finset](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Probability/Independence/Basic.html#ProbabilityTheory.iIndepFun.indepFun_finset) to arbitrary index sets and not only finsets.
---
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|
t-measure-probability |
92/39 |
Mathlib/Probability/Independence/Basic.lean,Mathlib/Probability/Independence/Conditional.lean,Mathlib/Probability/Independence/Kernel/IndepFun.lean,Mathlib/Probability/Independence/Process/Basic.lean |
4 |
1 |
['github-actions'] |
nobody |
10-48267 10 days ago |
10-48933 10 days ago |
10-53181 10 days |
2 |
| 44026 |
kim-em author:kim-em |
chore: remove backward.privateInPublic in category theory, topology and analysis |
This PR removes the `backward.privateInPublic` option in 6 files across category theory, topology and analysis. In each case a private definition appeared in the statement of a public declaration, so it was already part of the public interface in all but name. The fix is to drop `private` from those definitions (and from the auxiliary definitions their bodies depend on in exposed sections), adding docstrings where they were missing. In `Analysis/InnerProductSpace/OfNorm` the auxiliary inner product `inner_` moves into the `InnerProductSpaceable` namespace rather than becoming a root-level name; the public lemmas `inner_.norm_sq`, `inner_.conj_symm` and `Continuous.inner_` already carried its name. In `Topology/Category/Compactum` the helper `cl` gets a mathematical docstring, and the two lemmas about it that are only used in proofs stay private.
Files where a private *lemma* appeared in a public statement, and the files with file-wide `public section` restructuring, are handled in #44032. Names are otherwise kept as they were; suggestions for better names are welcome but are not needed for this PR.
🤖 Prepared with Claude Code |
tech debt |
19/63 |
Mathlib/Analysis/InnerProductSpace/OfNorm.lean,Mathlib/CategoryTheory/Monoidal/Internal/FunctorCategory.lean,Mathlib/FieldTheory/Galois/Profinite.lean,Mathlib/Topology/Category/Compactum.lean,Mathlib/Topology/Category/TopCat/Limits/Konig.lean,Mathlib/Topology/MetricSpace/GromovHausdorff.lean |
6 |
1 |
['github-actions'] |
nobody |
10-45508 10 days ago |
10-60240 10 days ago |
10-59961 10 days |
0 |
| 44024 |
kim-em author:kim-em |
chore: remove backward.privateInPublic in algebra, combinatorics and number theory |
This PR removes the `backward.privateInPublic` option in 9 files across algebra, combinatorics, number theory, order theory and set theory. In each case a private definition appeared in the statement of a public declaration, so it was already part of the public interface in all but name. The fix is to drop `private` from those definitions, adding docstrings where they were missing. In `Algebra/EuclideanDomain/Basic` the opposite direction is cleaner: the only consumer `xgcdAux_P` becomes private as well, matching the existing setup in `Data/Int/GCD`. In `Combinatorics/SetFamily/FourFunctions` the definition becomes `Finset.collapse` rather than a root-level name. In `Combinatorics/SetFamily/KruskalKatona` the predicate is marked `@[expose]`, since the file's `public section` is not exposed and the `DecidableRel` instance needs to unfold it.
Files where a private *lemma* appeared in a public statement are handled by wrapping the use site instead, in #44032. Names are kept as they were (for example `Pell.d`); suggestions for better names are welcome but are not needed for this PR.
🤖 Prepared with Claude Code |
tech debt |
14/107 |
Mathlib/Algebra/EuclideanDomain/Basic.lean,Mathlib/Algebra/FreeAlgebra.lean,Mathlib/Combinatorics/SetFamily/FourFunctions.lean,Mathlib/Combinatorics/SetFamily/KruskalKatona.lean,Mathlib/Combinatorics/SimpleGraph/Regularity/Increment.lean,Mathlib/GroupTheory/FreeGroup/NielsenSchreier.lean,Mathlib/NumberTheory/PellMatiyasevic.lean,Mathlib/RingTheory/GradedAlgebra/HomogeneousLocalization.lean,Mathlib/SetTheory/Ordinal/Notation.lean |
9 |
2 |
['github-actions', 'grunweg'] |
nobody |
10-43846 10 days ago |
10-43894 10 days ago |
10-48524 10 days |
0 |
| 44031 |
kim-em author:kim-em |
chore: apply mergeWithGrind suggestions from the weekly linting report |
This PR applies the `linter.tacticAnalysis.mergeWithGrind` suggestions from the weekly linting report of 2026-09-21 (https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Weekly.20linting.20log/near/625644995): in each flagged proof the tactic preceding a terminal `grind` call is redundant and is removed. In `Combinatorics/SimpleGraph/Acyclic.lean` this also restores the original proof recorded in an adaptation note, which now works again.
Three of the 22 suggestions were false positives and are not applied: under `all_goals tac; grind` the linter only tests the first goal, and the other goals still need `tac` (`Combinatorics/SimpleGraph/Extremal/Turan.lean` and two lemmas in `Analysis/SpecialFunctions/Log/Basic.lean`).
🤖 Prepared with Claude Code |
tech debt |
10/46 |
Mathlib/Algebra/QuadraticAlgebra/Discriminant.lean,Mathlib/Algebra/Star/NonUnitalSubalgebra.lean,Mathlib/AlgebraicTopology/SimplexCategory/ToMkOne.lean,Mathlib/AlgebraicTopology/SimplicialObject/ChainHomotopy.lean,Mathlib/Analysis/Calculus/Taylor.lean,Mathlib/Analysis/SpecialFunctions/Integrability/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Maps.lean,Mathlib/Combinatorics/SimpleGraph/Tutte.lean,Mathlib/Data/List/Nodup.lean,Mathlib/Data/Multiset/Find.lean,Mathlib/MeasureTheory/VectorMeasure/IntegrationByParts.lean,Mathlib/NumberTheory/FundamentalDiscriminant.lean,Mathlib/NumberTheory/Height/EllipticCurve.lean,Mathlib/NumberTheory/LucasLehmer.lean,Mathlib/Topology/Instances/AddCircle/Defs.lean |
16 |
3 |
['github-actions', 'grunweg', 'leanprover-radar'] |
nobody |
10-42304 10 days ago |
10-45793 10 days ago |
10-45814 10 days |
0 |
| 44041 |
pepamontero author:pepamontero |
feat(Geometry/Manifold): lemmas relating writtenInExtChartAt and extChartAt |
This PR adds three lemmas relating `writtenInExtChartAt` and `extChartAt` to `ExtChartAt.lean`:
* `writtenInExtChartAt_apply_extChartAt`,
* `extChartAt_symm_writtenInExtChartAt` and
* `extChartAt_symm_writtenInExtChartAt_extChartAt`.
The first two are used to golf some proofs; some of them did the same reasoning in `writtenInExtChartAt_apply_extChartAt` using a `have`. The others previously unfolded `writtenInExtChartAt` by hand and relied on `simp only [*]`.
The third one is not used here, but it could make a proof nicer in #34005.
AI disclosure: AI was used to scan places where these lemmas could be reused, as they were originally only written to use in #34005.
---
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|
t-differential-geometry |
23/11 |
Mathlib/Geometry/Manifold/ContMDiff/Basic.lean,Mathlib/Geometry/Manifold/IsManifold/ExtChartAt.lean,Mathlib/Geometry/Manifold/MFDeriv/Basic.lean |
3 |
1 |
['github-actions'] |
nobody |
10-39458 10 days ago |
10-40903 10 days ago |
10-40624 10 days |
0 |
| 43899 |
plp127 author:plp127 |
refactor(RepresentationTheory/Character): assume `FiniteDimensional k ρ.asModule` instead |
Change the assumptions of some theorems to `FiniteDimensional k ρ.asModule` instead of `FiniteDimensional k V`, so that typeclass inference may use `ρ` as an argument to typeclass search. Prove that irreducible representations of finite groups are finite dimensional, and use it to remove some `FiniteDimensional` assumptions.
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|
t-algebra label:t-algebra$ |
34/13 |
Mathlib/RepresentationTheory/Basic.lean,Mathlib/RepresentationTheory/Character.lean,Mathlib/RepresentationTheory/Coinvariants.lean,Mathlib/RepresentationTheory/Irreducible.lean |
4 |
7 |
['JX-Mo', 'github-actions', 'plp127'] |
nobody |
10-36843 10 days ago |
14-14207 14 days ago |
14-13928 14 days |
0 |
| 43885 |
plp127 author:plp127 |
refactor: reduce defeq abuse in `Representation.asModule` |
Reduce defeq abuse around `Representation.asModule` by adding explicitly uses of `Representation.asModuleEquiv` to convert between `V` and `ρ.asModule`. Also reorganize some `@[simp]` lemmas and fix some naming issues.
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|
t-algebra
tech debt
label:t-algebra$ |
70/88 |
Mathlib/RepresentationTheory/Basic.lean,Mathlib/RepresentationTheory/Intertwining.lean,Mathlib/RepresentationTheory/Rep/Iso.lean,Mathlib/RepresentationTheory/Submodule.lean,Mathlib/RepresentationTheory/Subrepresentation.lean |
5 |
19 |
['JX-Mo', 'github-actions', 'plp127'] |
nobody |
10-36160 10 days ago |
11-12227 11 days ago |
15-7803 15 days |
0 |
| 43953 |
hasjack author:hasjack |
feat(Combinatorics/SimpleGraph/LapMatrix): bound Laplacian eigenvalues by `|V|` |
Prove that every Laplacian eigenvalue of a finite simple graph is at most
the number of vertices, via comparison of the Rayleigh quotient with the
complete graph. Also record the underlying quadratic-form bound
`xᵀ L x ≤ |V| · ‖x‖²`.
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Adds `dotProduct_mulVec_lapMatrix_le_card` and `eigenvalues_lapMatrix_le_card`
in `LapMatrix.lean` only. The claim is the uniform bound `λ ≤ |V|` for every
indexed eigenvalue; it does not assert `|V| ∈ spectrum` for every graph.
Searched existing LapMatrix API (PSD, `zero_mem_spectrum_lapMatrix`,
`lapMatrix_top`) and did not find a card upper bound under another name.
Happy to rename if a preferred lemma already exists. |
new-contributor
t-combinatorics
LLM-generated
|
37/1 |
Mathlib/Combinatorics/SimpleGraph/LapMatrix.lean,Mathlib/Data/Matrix/Mul.lean |
2 |
61 |
['Parcly-Taxel', 'SnirBroshi', 'github-actions', 'hasjack'] |
nobody |
10-34029 10 days ago |
10-81048 10 days ago |
12-74905 12 days |
0 |
| 43434 |
Parcly-Taxel author:Parcly-Taxel |
refactor: remove `set_option` in `ZagierTwoSquares` |
I refactor one of my very first non-porting contributions to mathlib by changing `zagierSet` to a structure `Zagier.Triple` and rewriting the whole proof to avoid `set_option`s. This required changing the type of `card_fixedPoints_modEq` to accept just `α → α` rather than `Function.End α`.
No deprecations are added since this a leaf file in Archive. |
t-number-theory
tech debt
t-group-theory
|
112/169 |
Archive/ZagierTwoSquares.lean,Mathlib/GroupTheory/Perm/Cycle/Type.lean |
2 |
3 |
['Parcly-Taxel', 'github-actions', 'jcommelin'] |
nobody |
10-32679 10 days ago |
23-55894 23 days ago |
27-33064 27 days |
0 |
| 42067 |
themathqueen author:themathqueen |
feat(RingTheory): define Frobenius algebras |
A `FrobeniusAlgebra` is an algebra that is equipped with a `dual : Module.Dual R A` such that the bilinear form `(LinearMap.mul R A).compr₂ dual` is bijective.
A straightforward example: a matrix over a field with the trace as its dual is a Frobenius algebra. (Not an instance because there can be other choices of the dual.)
A `FrobeniusAlgebra` induces a coalgebra such that it satisfies the Frobenius equations (`Coalgebra.IsFrobenius`).
Note that this is not an instance since you can have a different coalgebra that is not equal to this one (for example, if you have a `Bialgebra R A` where `A` is not isomorphic to `R` then the coalgebra cannot satisfy the Frobenius equations, so this is not equal to the coalgebra coming from a `FrobeniusAlgebra R A`).
A coalgebra that satisfies the Frobenius equations (`Coalgebra.IsFrobenius`) naturally induces a Frobenius algebra (`FrobeniusAlgebra`).
---
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|
t-ring-theory |
287/3 |
Mathlib.lean,Mathlib/RingTheory/Coalgebra/IsFrobenius.lean,Mathlib/RingTheory/FrobeniusAlgebra/Basic.lean,Mathlib/RingTheory/FrobeniusAlgebra/IsFrobenius.lean |
4 |
5 |
['JX-Mo', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
10-29520 10 days ago |
10-31044 10 days ago |
10-30926 10 days |
0 |
| 41947 |
hawkrobe author:hawkrobe |
feat(Order/Antisymmetrization): comparable minimal elements are equivalent |
a minimal element is antisymmetrically equivalent to every comparable element satisfying the predicate, so two comparable minimal elements are equivalent in a preorder and equal in a partial order (Mathlib has the partial-order form `Minimal.eq_of_ge` but not the preorder form.)
---
[](https://gitpod.io/from-referrer/) |
new-contributor
t-order
|
25/4 |
Mathlib/Logic/Relation.lean,Mathlib/Order/Antisymmetrization.lean,Mathlib/Order/Bounds/Basic.lean |
3 |
3 |
['github-actions', 'hawkrobe'] |
nobody |
10-23292 10 days ago |
73-67340 73 days ago |
73-67061 73 days |
0 |
| 43187 |
gaetanserre author:gaetanserre |
chore: tag some measurability lemmas with `fun_prop` |
Tag some measurability lemma with `fun_prop`. These lemmas were not tagged most likely because one of the subgoals was of the form `MeasurableSet ...`. However, tagging them and using `fun_prop (disch := measurability)` can close goals that require these lemmas.
---
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|
|
3/0 |
Mathlib/MeasureTheory/MeasurableSpace/Basic.lean,Mathlib/MeasureTheory/MeasurableSpace/Constructions.lean,Mathlib/Probability/Kernel/Defs.lean |
3 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
10-19294 10 days ago |
10-21344 10 days ago |
34-11890 34 days |
0 |
| 43539 |
abhijitaj1997 author:abhijitaj1997 |
feat(CategoryTheory/Monoidal/Cartesian/Endomorphism): add ring and semiring structures |
Given two monoidal object in a nice enough category, this show that the monoidal morphisms between then forms an additive group. This additive group is part of a larger semiring structure.
---
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|
new-contributor
t-category-theory
large-import
|
202/0 |
Mathlib.lean,Mathlib/CategoryTheory/Monoidal/Cartesian/Endomorphism.lean,Mathlib/CategoryTheory/Monoidal/Mon.lean |
3 |
35 |
['Multramate', 'abhijitaj1997', 'alreadydone', 'github-actions', 'joelriou', 'robin-carlier'] |
robin-carlier assignee:robin-carlier |
10-5318 10 days ago |
20-24154 20 days ago |
22-69770 22 days |
0 |
| 42523 |
joelriou author:joelriou |
feat(AlgebraicTopology/SimplicialSet): the fundamental groupoid |
---
- [x] depends on: #42526
- [x] depends on: #42527
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|
t-algebraic-topology
maintainer-merge
|
359/0 |
Mathlib.lean,Mathlib/AlgebraicTopology/SimplicialObject/Basic.lean,Mathlib/AlgebraicTopology/SimplicialSet/FundamentalGroupoid/Basic.lean,MathlibTest/CategoryTheory/CheckDsimp.lean |
4 |
19 |
['github-actions', 'jcommelin', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'riccardobrasca', 'robin-carlier'] |
robin-carlier assignee:robin-carlier |
10-3353 10 days ago |
14-58738 14 days ago |
47-79704 47 days |
5 |
| 40848 |
fbarroero author:fbarroero |
feat(RingTheory/DedekindDomain/SInteger): the ring of S-integers is a localization and a Dedekind Domain |
We prove
```
instance IsDedekindDomain.IsLocalizationSInteger. (R : Type *) [CommRing R] [IsDedekindDomain R]
(S : Set (HeightOneSpectrum R)) (K : Type *) [Field K] [Algebra R K] [IsFractionRing R K]
[Fact (Monoid.IsTorsion (ClassGroup R))] : IsLocalization S.Submonoid (S.integer K)
```
and
```
instance IsDedekindDomain.isDedekindDomainSInteger (R : Type *) [CommRing R] [IsDedekindDomain R]
(S : Set (HeightOneSpectrum R)) (K : Type *) [Field K] [Algebra R K] [IsFractionRing R K]
[Fact (Monoid.IsTorsion (ClassGroup R))] : IsDedekindDomain (S.integer K)
```
This is joint work with @larskuehne.
---
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|
t-ring-theory
large-import
|
162/4 |
Mathlib/RingTheory/DedekindDomain/SInteger.lean,Mathlib/RingTheory/Ideal/Prime.lean |
2 |
39 |
['copilot-pull-request-reviewer', 'faenuccio', 'fbarroero', 'github-actions', 'riccardobrasca', 'xroblot'] |
faenuccio assignee:faenuccio |
10-1654 10 days ago |
21-19471 21 days ago |
53-55171 53 days |
1 |
| 37603 |
Parcly-Taxel author:Parcly-Taxel |
refactor: review of `SetSemiring` |
* Rename `Set.up` and `SetSemiring.down` to `SetSemiring.ofSet` and `SetSemiring.toSet` respectively. Unprotect both and make them equivalences, following `FreeMonoid`.
* Derive `CompleteAtomicBooleanAlgebra` for `SetSemiring` immediately.
* Add `imageHom_id` and `imageHom_comp`. The three existing lemmas about `imageHom` are coalesced into `imageHom_apply`.
Ultimately inspired by https://github.com/leanprover-community/mathlib4/pull/36934#issuecomment-4183475568. |
t-data |
119/164 |
Mathlib/Algebra/Algebra/Operations.lean,Mathlib/Data/Set/Semiring.lean |
2 |
45 |
['Parcly-Taxel', 'YaelDillies', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts', 'ocfnash', 'sgouezel'] |
joneugster assignee:joneugster |
9-77019 9 days ago |
78-79136 78 days ago |
115-3241 115 days |
1 |
| 41925 |
mbkybky author:mbkybky |
feat(CategoryTheory/ObjectProperty/HasFiniteResolution): relation with projective dimension |
`X` has a projective resolution of length `n` if and only if `X` has projective dimension `≤ n`.
- [x] depends on: #41880
---
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|
t-category-theory |
44/0 |
Mathlib.lean,Mathlib/CategoryTheory/ObjectProperty/HasFiniteResolution/Projective.lean |
2 |
6 |
['github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
robin-carlier assignee:robin-carlier |
9-77013 9 days ago |
10-36346 10 days ago |
10-55691 10 days |
0 |
| 42164 |
CoolRmal author:CoolRmal |
feat(MeasureTheory): one-sided continuous functions are measurable |
The following lemmas are proved in this PR:
- the image of a set of a second-countable linear order under a right-continuous function is a
separable space.
- a right continuous function is measurable.
- a right continuous function is strongly measurable.
The corresponding statements for left continuous functions are also included.
Note: the statement that a right continuous function is strongly measurable is actually true even in the case that the codomain is not assumed to be strongly measurable, and this can be proved through an explicit construction of an approximating sequence of simple functions. However, this proof is definitely more lengthy, and I believe in practice we only care about strongly measurable functions in the case of integrating banach space valued functions. This is why I decide to assume pseudometrizability so that a simpler proof is available through the use of [stronglyMeasurable_iff_measurable_separable](https://leanprover-community.github.io/mathlib4_docs/Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.html#stronglyMeasurable_iff_measurable_separable).
---
Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>
|
t-measure-probability |
68/0 |
Mathlib/MeasureTheory/Constructions/BorelSpace/Order.lean,Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean,Mathlib/Topology/Order/LeftRightNhds.lean |
3 |
1 |
['github-actions'] |
RemyDegenne assignee:RemyDegenne |
9-77012 9 days ago |
64-21433 64 days ago |
64-21154 64 days |
0 |
| 42735 |
FrankieNC author:FrankieNC |
chore(Probability/ProbabilityMassFunction): remove defeq option in Monad |
Remove the `set_option backward.isDefEq.respectTransparency` false in `Mathlib/Probability/ProbabilityMassFunction/Monad.lean`, on `bindOnSupport_bindOnSupport`.
---
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|
tech debt
t-measure-probability
|
17/6 |
Mathlib/Probability/ProbabilityMassFunction/Monad.lean |
1 |
1 |
['github-actions'] |
joneugster assignee:joneugster |
9-77009 9 days ago |
49-26088 49 days ago |
49-25809 49 days |
0 |
| 43013 |
grunweg author:grunweg |
feat: diffeomorphisms are smooth embeddings |
This is a direct corollary of a previous PR, so let's include it.
This PR assumes matching models with corners (as the general case is not obviously true).
Using the inverse function theorem instead allows any models, but requires Banach manifolds and conditions on boundary behaviour. This will be added in the future, once the relevant version of the inverse function theorem is merged to mathlib.
---
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t-differential-geometry |
32/3 |
Mathlib/Geometry/Manifold/Immersion.lean,Mathlib/Geometry/Manifold/SmoothEmbedding.lean |
2 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
ocfnash assignee:ocfnash |
9-77008 9 days ago |
12-6803 12 days ago |
13-15366 13 days |
0 |
| 43849 |
joelriou author:joelriou |
feat(CategoryTheory): composition of right derived functors |
This is only the natural transformation $$R(F \ggg G) \to RF \ggg RG$$ between the derived functor of a composition and the composition of the derived functors. When we have suitable assumptions about shifts, we show that this natural transformation also commutes with shifts.
---
- [x] depends on: #43809
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t-category-theory |
155/0 |
Mathlib.lean,Mathlib/CategoryTheory/Functor/Derived/RightDerivedComposition.lean,Mathlib/CategoryTheory/Functor/Derived/RightDerivedCompositionCommShift.lean |
3 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
dagurtomas assignee:dagurtomas |
9-77007 9 days ago |
10-23619 10 days ago |
10-25547 10 days |
0 |
| 40531 |
tb65536 author:tb65536 |
feat(Combinatorics/Hypergraph/Coloring): define hypergraph colorings |
This PR defines hypergraph colorings and the chromatic index of a hypergraph.
---
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|
t-combinatorics |
66/0 |
Mathlib.lean,Mathlib/Combinatorics/Hypergraph/Coloring/Edge.lean |
2 |
4 |
['SnirBroshi', 'b-mehta', 'github-actions', 'tb65536'] |
nobody |
9-76117 9 days ago |
108-39470 108 days ago |
109-924 109 days |
0 |
| 41484 |
FernandoChu author:FernandoChu |
feat(CategoryTheory): kan extensions from isos |
This PR constructs lifts out of isomorphisms of 1-cells, and shows that being (abs) Kan is preserved by this. This is done for all four notions of left/right lifts/extensions.
This is needed for the oo-cosmos project.
----
**AI disclosure**. Claude was used in defining the API for the left extension case. After manually fixing its bad proofs/definitions/docstrings, Claude was later asked to replicate this for the other three cases, which I again finetuned. |
t-category-theory
LLM-generated
large-import
maintainer-merge
tech debt
|
413/79 |
Mathlib/CategoryTheory/Bicategory/Extension.lean,Mathlib/CategoryTheory/Bicategory/Kan/IsKan.lean |
2 |
24 |
['FernandoChu', 'github-actions', 'grunweg', 'robin-carlier'] |
nobody |
9-76115 9 days ago |
31-33911 31 days ago |
83-39916 83 days |
1 |
| 42563 |
thorimur author:thorimur |
feat: `private` elaborator for proofs |
This PR adds the `private <term>` term elaborator which wraps term-mode proofs in a public auxiliary declaration so that they can use private constants in public positions. For example, a term-mode proof appearing in a public declaration's type will error if it uses a private declaration.
Currently, `by exact` will wrap the proof in a private declaration as `private` does, but sprinkling code with `by exact`s hurts readability, since it's difficult to tell at a glance what motivated its presence. Also, `private` reports when it's unnecessary, unlike `by exact`.
Disclosure: I had Claude review this before PRing, seeing if I could get rid of elaborating `by`. It found a good reason to do so, and made some changes, which I then reviewed and iterated on myself. I've preserved the (only) LLM-generated changes via the authorship of the commit history.
---
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|
t-meta |
274/0 |
Mathlib.lean,Mathlib/Init.lean,Mathlib/Util/PrivateProof.lean,MathlibTest/Util/PrivateProof.lean |
4 |
9 |
['JovanGerb', 'github-actions', 'kim-em', 'thorimur'] |
joneugster assignee:joneugster |
9-75527 9 days ago |
9-79742 9 days ago |
54-59665 54 days |
1 |
| 41567 |
kim-em author:kim-em |
doc: fix TFAE list rendering in Rees theorem module docstring |
This PR fixes the module docstring of `Mathlib/RingTheory/Depth/Rees.lean`: the four TFAE items used `·`, which is not a markdown list marker, so they rendered as a single run-on paragraph on doc-gen. Replace them with proper `*` sub-list items, add the missing "and nontrivial" to the first item to match the Lean statement, and drop the unused binder name `Nfin` in `subsingleton_ext_of_exists_isRegular`.
Follow-up to [#26212 (feat(Algebra): the Rees theorem for depth)](https://github.com/leanprover-community/mathlib4/pull/26212), where the reviewer deferred checking the rendered docs to after the merge.
🤖 Prepared with Claude Code
|
t-ring-theory
LLM-generated
|
8/7 |
Mathlib/RingTheory/Depth/Rees.lean |
1 |
3 |
['Multramate', 'github-actions'] |
nobody |
9-75347 9 days ago |
9-76676 9 days ago |
74-53042 74 days |
0 |
| 44040 |
kim-em author:kim-em |
chore: adaptation notes for the backward.privateInPublic uses blocked on lean4#14708 |
This PR adds an `#adaptation_note` at each `variable` declaration with an autoParam binder whose users need `backward.privateInPublic`. These uses (about 80 of the remaining option lines, in 14 files) are not removable on the Mathlib side: the autoParam helper declaration generated for a `variable` is always private, and any declaration using that variable in a public section silently elaborates to `sorry` without the option. This is https://github.com/leanprover/lean4/issues/14708. The note says which `set_option`s can go once that is fixed, and stops anyone from spending time on them before then. Each affected file was checked by removing its `true`-only option lines and observing the `sorry` warnings and the follow-on `autoParam … is not a constant` errors.
It also deletes the one option line in `CategoryTheory/SmallObject/Iteration/ExtendToSucc` that turned out to be unnecessary.
🤖 Prepared with Claude Code |
tech debt |
116/0 |
Mathlib/Algebra/Module/ZLattice/Covolume.lean,Mathlib/AlgebraicTopology/SimplicialSet/CompStruct.lean,Mathlib/AlgebraicTopology/SimplicialSet/StrictSegal.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/NonUnital.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Unital.lean,Mathlib/Analysis/Distribution/TemperedDistribution.lean,Mathlib/CategoryTheory/ComposableArrows/Basic.lean,Mathlib/CategoryTheory/Join/Basic.lean,Mathlib/CategoryTheory/Limits/Shapes/Reflexive.lean,Mathlib/CategoryTheory/LocallyCartesianClosed/ChosenPullbacksAlong.lean,Mathlib/CategoryTheory/Monoidal/Braided/Basic.lean,Mathlib/CategoryTheory/Monoidal/CommGrp_.lean,Mathlib/CategoryTheory/Monoidal/Functor.lean,Mathlib/CategoryTheory/Sites/Point/Basic.lean,Mathlib/CategoryTheory/SmallObject/Iteration/ExtendToSucc.lean |
15 |
1 |
['github-actions'] |
nobody |
9-74811 9 days ago |
9-76824 9 days ago |
9-77730 9 days |
0 |
| 43785 |
kim-em author:kim-em |
chore: point Order/Atoms deprecations at the right replacements |
This PR corrects the replacement named by three deprecations in `Mathlib/Order/Atoms.lean`. `IsStronglyCoatomic.of_wellFounded_gt`, `isAtomic_of_orderBot_wellFounded_lt` and `isCoatomic_of_orderTop_gt_wellFounded` all named `instIsStronglyAtomicOfWellFoundedLT`, which is neither coatomic nor the `IsAtomic`/`IsCoatomic` instance a user of those lemmas wants; they now name `instIsStronglyCoatomicOfWellFoundedGT`, `IsStronglyAtomic.isAtomic` and `IsStronglyCoatomic.toIsCoatomic`.
A Lean nightly has grown a check comparing the type of a deprecated declaration against its replacement, which is how these surfaced.
🤖 Prepared with Claude Code
https://claude.ai/code/session_01FEhDfMiCzEAX4QJdrALfQC |
t-order |
3/3 |
Mathlib/Order/Atoms.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
9-72539 9 days ago |
9-76895 9 days ago |
12-8454 12 days |
0 |
| 41823 |
tb65536 author:tb65536 |
feat(Combinatorics/Design/Defs): definitions of combinatorial designs |
This PR adds the definitions of combinatorial designs.
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|
t-combinatorics |
141/0 |
Mathlib.lean,Mathlib/Combinatorics/Design/Defs.lean |
2 |
1 |
['Parcly-Taxel', 'github-actions'] |
nobody |
9-71765 9 days ago |
77-4704 77 days ago |
77-4426 77 days |
1 |
| 43566 |
kim-em author:kim-em |
refactor(CategoryTheory): insert missing functor associators and unitors |
This PR inserts the functor associators and unitors that Mathlib currently omits, or applies in the wrong direction, when it identifies `(F ⋙ G) ⋙ H` with `F ⋙ G ⋙ H` or `𝟭 C ⋙ F` with `F` by unfolding `Functor.comp` and `Functor.id`. None of these changes are *necessary*, but all reduce some defeq abuse that hopefully will make life easier in future.
It is extracted from Paul Reichert's experiment making `Functor.comp` and `Functor.id` `instance_reducible` with a semireducible `map` field (https://github.com/leanprover-community/mathlib4/compare/master...leanprover-community:mathlib4-nightly-testing:datokrat/functorcomp, discussed at https://leanprover.zulipchat.com/#narrow/channel/113488-general/topic/backward.2EisDefEq.2ErespectTransparency), keeping only the bracketing and unit fixes so that future experiments of this kind have less to repair. The `Functor.comp_map` proof changes from that branch are not included, and the corresponding changes for (pre)sheaves of modules are in a separate PR.
The notable API changes are: `limit.pre_pre`, `post_post`, `pre_post` and their duals now relate the two bracketings through `HasLimit.isoOfNatIso (Functor.associator _ _ _)`; `StructuredArrow.final_map₂_id` takes `β : T ⋙ S ⟶ 𝟭 C ⋙ T'`; and `Join.mkNatTrans` and `mkNatIso` carry associators in their (autoparam) compatibility hypothesis.
🤖 Prepared with Claude Code |
tech debt |
254/128 |
Mathlib/AlgebraicGeometry/ColimitsOver.lean,Mathlib/CategoryTheory/Abelian/GrothendieckCategory/Subobject.lean,Mathlib/CategoryTheory/Comma/Final.lean,Mathlib/CategoryTheory/Comma/StructuredArrow/Basic.lean,Mathlib/CategoryTheory/Equivalence.lean,Mathlib/CategoryTheory/Filtered/Final.lean,Mathlib/CategoryTheory/Functor/Derived/Adjunction.lean,Mathlib/CategoryTheory/Functor/KanExtension/Basic.lean,Mathlib/CategoryTheory/Join/Basic.lean,Mathlib/CategoryTheory/Limits/Constructions/Over/Connected.lean,Mathlib/CategoryTheory/Limits/Final.lean,Mathlib/CategoryTheory/Limits/FunctorCategory/Basic.lean,Mathlib/CategoryTheory/Limits/HasLimits.lean,Mathlib/CategoryTheory/Limits/IndYoneda.lean,Mathlib/CategoryTheory/Limits/Preserves/Shapes/Pullbacks.lean,Mathlib/CategoryTheory/Limits/Shapes/Opposites/Pullbacks.lean,Mathlib/CategoryTheory/Limits/VanKampen.lean,Mathlib/CategoryTheory/Limits/Weighted/PreservesLimit.lean,Mathlib/CategoryTheory/Localization/Adjunction.lean,Mathlib/CategoryTheory/Monad/Limits.lean,Mathlib/CategoryTheory/Monoidal/Cartesian/Basic.lean,Mathlib/CategoryTheory/Monoidal/Multifunctor.lean,Mathlib/CategoryTheory/Opposites.lean,Mathlib/CategoryTheory/Shift/Induced.lean,Mathlib/CategoryTheory/Whiskering.lean |
25 |
15 |
['github-actions', 'kim-em', 'leanprover-radar', 'robin-carlier'] |
nobody |
9-57692 9 days ago |
9-57692 9 days ago |
12-66379 12 days |
0 |
| 41554 |
felixpernegger author:felixpernegger |
chore: remove `noncomputable section` when only theorems in file |
Removes `noncomputable section` whenever no def/abbrev/instances appear in the section.
This is not the most important change, but prepares for a more general cleanup around `noncomputable`.
---
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|
10/243 |
Mathlib/Algebra/GroupWithZero/Range.lean,Mathlib/Algebra/MvPolynomial/Coeff.lean,Mathlib/Algebra/Polynomial/Degree/Domain.lean,Mathlib/Algebra/Polynomial/Degree/Lemmas.lean,Mathlib/Algebra/Polynomial/Degree/Monomial.lean,Mathlib/Algebra/Polynomial/Degree/Support.lean,Mathlib/Algebra/Polynomial/Degree/Units.lean,Mathlib/Algebra/Polynomial/Eval/Algebra.lean,Mathlib/Algebra/Polynomial/Eval/Irreducible.lean,Mathlib/Algebra/Polynomial/Splits.lean,Mathlib/Analysis/Analytic/Within.lean,Mathlib/Analysis/BoxIntegral/DivergenceTheorem.lean,Mathlib/Analysis/Calculus/ContDiff/Basic.lean,Mathlib/Analysis/Calculus/ContDiff/Bounds.lean,Mathlib/Analysis/Calculus/ContDiff/Comp.lean,Mathlib/Analysis/Calculus/ContDiff/Deriv.lean,Mathlib/Analysis/Calculus/ContDiff/FiniteDimension.lean,Mathlib/Analysis/Calculus/ContDiff/RCLike.lean,Mathlib/Analysis/Calculus/Deriv/Mul.lean,Mathlib/Analysis/Calculus/FDeriv/Add.lean,Mathlib/Analysis/Calculus/FDeriv/Basic.lean,Mathlib/Analysis/Calculus/FDeriv/Bilinear.lean,Mathlib/Analysis/Calculus/FDeriv/Comp.lean,Mathlib/Analysis/Calculus/FDeriv/Congr.lean,Mathlib/Analysis/Calculus/FDeriv/Const.lean,Mathlib/Analysis/Calculus/FDeriv/Equiv.lean,Mathlib/Analysis/Calculus/FDeriv/Prod.lean,Mathlib/Analysis/Calculus/FDeriv/RestrictScalars.lean,Mathlib/Analysis/Calculus/ParametricIntegral.lean,Mathlib/Analysis/Complex/CauchyIntegral.lean,Mathlib/Analysis/Complex/ReImTopology.lean,Mathlib/Analysis/Fourier/PoissonSummation.lean,Mathlib/Analysis/Fourier/RiemannLebesgueLemma.lean,Mathlib/Analysis/InnerProductSpace/Continuous.lean,Mathlib/Analysis/MeanInequalities.lean,Mathlib/Analysis/Normed/Module/Dual.lean,Mathlib/Analysis/SpecialFunctions/ExpDeriv.lean,Mathlib/Analysis/SpecialFunctions/Gamma/Deriv.lean,Mathlib/Analysis/SpecialFunctions/Gaussian/GaussianIntegral.lean,Mathlib/Analysis/SpecialFunctions/Gaussian/PoissonSummation.lean,Mathlib/Analysis/SpecialFunctions/JapaneseBracket.lean,Mathlib/Analysis/SpecialFunctions/Log/Monotone.lean,Mathlib/Analysis/SpecialFunctions/Pow/Asymptotics.lean,Mathlib/Analysis/SpecialFunctions/Pow/Continuity.lean,Mathlib/Analysis/SpecialFunctions/Pow/Deriv.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/ArctanDeriv.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Complex.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/ComplexDeriv.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Deriv.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/InverseDeriv.lean,Mathlib/CategoryTheory/Limits/EssentiallySmall.lean,Mathlib/CategoryTheory/Limits/Preserves/Opposites.lean,Mathlib/CategoryTheory/Sites/CoverPreserving.lean,Mathlib/Data/W/Cardinal.lean,Mathlib/Dynamics/Ergodic/Conservative.lean,Mathlib/FieldTheory/AxGrothendieck.lean,Mathlib/FieldTheory/MvRatFunc/Rank.lean,Mathlib/FieldTheory/PurelyInseparable/Tower.lean,Mathlib/Geometry/Euclidean/Angle/Oriented/RightAngle.lean,Mathlib/Geometry/Euclidean/Angle/Sphere.lean,Mathlib/Geometry/Euclidean/Angle/Unoriented/RightAngle.lean,Mathlib/Geometry/Euclidean/Basic.lean,Mathlib/Geometry/Euclidean/Triangle.lean,Mathlib/Geometry/Manifold/MFDeriv/Basic.lean,Mathlib/Geometry/Manifold/MFDeriv/FDeriv.lean,Mathlib/Geometry/Manifold/MFDeriv/SpecificFunctions.lean,Mathlib/Geometry/Manifold/MFDeriv/UniqueDifferential.lean,Mathlib/Geometry/Manifold/SmoothApprox.lean,Mathlib/Geometry/Manifold/SmoothEmbedding.lean,Mathlib/LinearAlgebra/Charpoly/ToMatrix.lean,Mathlib/LinearAlgebra/Dimension/ErdosKaplansky.lean,Mathlib/LinearAlgebra/Finsupp/Span.lean,Mathlib/LinearAlgebra/LinearIndependent/Basic.lean,Mathlib/LinearAlgebra/Matrix/Charpoly/FiniteField.lean,Mathlib/LinearAlgebra/Matrix/Charpoly/Minpoly.lean,Mathlib/LinearAlgebra/Matrix/Diagonal.lean,Mathlib/LinearAlgebra/PerfectPairing/Restrict.lean,Mathlib/LinearAlgebra/RootSystem/Finite/Lemmas.lean,Mathlib/LinearAlgebra/RootSystem/GeckConstruction/Relations.lean,Mathlib/MeasureTheory/Function/ConditionalExpectation/Indicator.lean,Mathlib/MeasureTheory/Function/ConditionalExpectation/Real.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Basic.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Indicator.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Monotonicity.lean,Mathlib/MeasureTheory/Function/LpSeminorm/SMul.lean,Mathlib/MeasureTheory/Function/SpecialFunctions/RCLike.lean,Mathlib/MeasureTheory/Integral/ExpDecay.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/ContDiff.lean,Mathlib/MeasureTheory/Integral/Layercake.lean,Mathlib/MeasureTheory/Integral/Prod.lean,Mathlib/MeasureTheory/MeasurableSpace/Pi.lean,Mathlib/MeasureTheory/MeasurableSpace/Prod.lean,Mathlib/MeasureTheory/Measure/Decomposition/RadonNikodym.lean,Mathlib/MeasureTheory/Measure/Portmanteau.lean,Mathlib/MeasureTheory/OuterMeasure/Basic.lean,Mathlib/NumberTheory/AbelSummation.lean,Mathlib/NumberTheory/LSeries/SumCoeff.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/E2/Summable.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/IsBoundedAtImInfty.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/MDifferentiable.lean |
123 |
7 |
['felixpernegger', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts'] |
nobody |
9-53125 9 days ago |
9-56918 9 days ago |
58-46007 58 days |
0 |
| 41541 |
felixpernegger author:felixpernegger |
chore: prefer `classical` over `open scoped Classical` in proofs |
In #41423 it came up that it is preferable to use `classical` in proofs instead of `open (scoped) Classical`, as its slightly easier to maintain. This PR replaces all such occurences where it can be reasonably done.
This is likely my last PR about this topic.
(I used Claude to fix some git issue, which is why it shows up in the commit)
---
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|
111/58 |
Mathlib/Basic/Logic/Basic.lean,Mathlib/Logic/Function/Basic.lean,Mathlib/Order/Basic.lean,Mathlib/Order/Defs/PartialOrder.lean |
4 |
5 |
['felixpernegger', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts'] |
nobody |
9-51365 9 days ago |
9-56944 9 days ago |
55-21522 55 days |
0 |
| 39067 |
mbkybky author:mbkybky |
feat(Algebra/Module): define modules admitting finite free resolutions |
We say that an `R`-module `M` has a finite free resolution if there exists an exact sequence `0 ⟶ Eₙ ⟶ ⋯ ⟶ E₀ ⟶ M ⟶ 0` such that `Eᵢ` are finite free `R`-modules.
- [x] depends on: #41880
---
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|
t-algebra label:t-algebra$ |
171/0 |
Mathlib.lean,Mathlib/Algebra/Module/FiniteFreeResolution/Basic.lean |
2 |
4 |
['github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
joelriou assignee:joelriou |
9-48739 9 days ago |
10-36257 10 days ago |
49-74516 49 days |
2 |
| 41362 |
JovanGerb author:JovanGerb |
perf(Algebra/MonoidAlgebra): `no_expose` some operations |
This PR uses `no_expose` for the `Add`, `Sub`, `Neg`, `One` and `Mul` instances of `MonoidAlgebra`. This improves performance. The `Zero` instance is left exposed for now as no_exposing it would require a few more adaptations.
This requires a change in `fast_instance%`, namely to let it unfold unexposed definitions in its `isDefEq` checks. This is a bit hacky, but it does work.
---
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|
|
75/58 |
Mathlib/Algebra/MonoidAlgebra/Defs.lean,Mathlib/Algebra/MonoidAlgebra/Degree.lean,Mathlib/Algebra/MonoidAlgebra/Division.lean,Mathlib/Algebra/MonoidAlgebra/Grading.lean,Mathlib/Algebra/MonoidAlgebra/Ideal.lean,Mathlib/Algebra/MonoidAlgebra/MapDomain.lean,Mathlib/Algebra/MonoidAlgebra/Module.lean,Mathlib/Algebra/MonoidAlgebra/ToDirectSum.lean,Mathlib/Algebra/MvPolynomial/Basic.lean,Mathlib/Algebra/MvPolynomial/CommRing.lean,Mathlib/Algebra/MvPolynomial/Eval.lean,Mathlib/Algebra/Polynomial/Basic.lean,Mathlib/Algebra/Polynomial/Coeff.lean,Mathlib/RingTheory/Extension/Presentation/Basic.lean,Mathlib/RingTheory/FinitePresentation.lean,Mathlib/RingTheory/MvPowerSeries/Basic.lean,Mathlib/Tactic/FastInstance.lean |
17 |
17 |
['JovanGerb', 'github-actions', 'kbuzzard', 'leanprover-radar', 'mathlib-bors', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
9-45544 9 days ago |
9-49316 9 days ago |
38-77269 38 days |
0 |
| 41861 |
stalex444 author:stalex444 |
feat(Algebra/Order/Floor): floor-of-sum dichotomy via fractional parts |
This PR adds four lemmas in Mathlib/Algebra/Order/Floor/Ring.lean, placed in the fractional-part section, complementing the existing one-sided bounds le_floor_add and le_floor_add_floor.
Here are the lemmas:
* floor_add_eq — writes ⌊a + b⌋ exactly as ⌊a⌋ + ⌊b⌋ + ⌊fract a + fract b⌋
* floor_add_eq_add_iff — the floors add exactly ⟺ the fractional parts sum below 1
* floor_add_eq_add_add_one_iff — the +1 case ⟺ the fractional parts sum to at least 1
* floor_add_eq_or — the dichotomy: it's always one or the other
The library has the two inequalities but not the exact case analysis, and this closes that small gap. In addition, these are the lemmas for the mechanical/Beatty-word development proposed here --https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Sturmian.20.28mechanical.29.20words/near/610836902.
Claude helped draft the Lean code; I reviewed the code, built the module locally, and it compiled.
---
I'm flexible on the lemma names should reviewers prefer different forms
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t-algebra
LLM-generated
new-contributor
label:t-algebra$ |
49/0 |
Mathlib/Algebra/Order/Floor/Ring.lean |
1 |
12 |
['BoltonBailey', 'github-actions', 'stalex444', 'themathqueen'] |
nobody |
9-41716 9 days ago |
19-34083 19 days ago |
56-55897 56 days |
0 |
| 43643 |
Sanghyeok0 author:Sanghyeok0 |
refactor(Logic/Relation): move inclusion lemmas out of EqvGen |
I moved the four relation-inclusion lemmas introduced in #40792 from `Relation.EqvGen` to `Relation`, retaining the existing names as deprecated aliases.
This refactor was split out from #40368 following the review discussion there.
Changes:
* `Relation.EqvGen.reflGen_le_eqvGen` → `Relation.reflGen_le_eqvGen`
* `Relation.EqvGen.symmGen_le_eqvGen` → `Relation.symmGen_le_eqvGen`
* `Relation.EqvGen.transGen_le_eqvGen` → `Relation.transGen_le_eqvGen`
* `Relation.EqvGen.reflTransGen_le_eqvGen` → `Relation.reflTransGen_le_eqvGen`
---
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|
t-logic
new-contributor
maintainer-merge
|
24/0 |
Mathlib/Logic/Relation.lean |
1 |
11 |
['Sanghyeok0', 'github-actions', 'themathqueen'] |
nobody |
9-40923 9 days ago |
14-34576 14 days ago |
20-37628 20 days |
0 |
| 43465 |
TJHeeringa author:TJHeeringa |
feat(Analysis/InnerProductSpace/Reproducing): add bilinearform for Mercer's theorem |
Mercer's theorem provides a spectral representation to kernels satisfying an integrability condition. The proof builds on a Hilbert-Schmidt operator. This PR introduces the bilinear form used to define that operator.
---
PR #42003 introduces the corresponding integral operator.
AI:
Claude and Mistral have helped me get up to speed with how to do the measurability proofs in lean.
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|
t-analysis |
157/0 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/Reproducing/Mercer.lean |
2 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
9-32113 9 days ago |
21-55316 21 days ago |
25-27354 25 days |
1 |
| 44075 |
bjornsolheim author:bjornsolheim |
feat(Analysis/Convex): convex hull of a compact set is compact in finite dimensions |
Proves the following:
`Set.convexHull_eq_range_sum_smul` - In finite dimensions, the convex hull of `K` is the range of weighted sums of
`finrank 𝕜 E + 1` points of `K`, with nonnegative weights summing to one.
`IsCompact.convexHull` - In finite dimensions, the convex hull of a compact set is compact.
Assisted by: Claude Fable 5.1 (used to research certain issues and to complete or optimize certain steps).
Everything is crafted by me or understood and reviewed by me.
---
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|
t-analysis |
84/0 |
Mathlib.lean,Mathlib/Analysis/Convex/Compact.lean |
2 |
1 |
['github-actions'] |
nobody |
9-31542 9 days ago |
9-32568 9 days ago |
9-32289 9 days |
1 |
| 44019 |
bally65 author:bally65 |
feat(Computability/Primrec): primality is primitive recursive |
Primrec.nat_prime : PrimrecPred Nat.Prime, via Nat.prime_def_lt' and the bounded quantifier PrimrecRel.forall_lt. Mathlib had no computability statement about Nat.Prime.
---
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|
t-computability
new-contributor
|
44/0 |
Mathlib.lean,Mathlib/Computability/Primrec/Prime.lean |
2 |
5 |
['github-actions', 'pepamontero'] |
nobody |
9-30064 9 days ago |
9-31080 9 days ago |
10-65454 10 days |
0 |
| 36089 |
pfaffelh author:pfaffelh |
feat(Topology/Compactness/CompactSystem): set system of finite unions of sets in a compact system is again a compact system |
A compact system is a set system with the following property: If all finite intersections of a sequence in the set system is non-empty, the countable intersection is not empty.
Starting with a compact system, consider the finite unions of sets in the copact system. Such sets again form a compact system (`IsCompactSystem.supClosure`).
This was previously #25900.
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|
brownian
t-topology
LLM-generated
|
54/0 |
Mathlib/Topology/Compactness/CompactSystem.lean |
1 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
9-20872 9 days ago |
9-22051 9 days ago |
9-85728 9 days |
0 |
| 44086 |
bjornsolheim author:bjornsolheim |
feat(Analysis/Convex/Strict): farthest points are exposed in strictly convex spaces |
Proves the following (in a real strictly convex normed space):
`sphere_subset_exposedPoints_closedBall` - every point of a sphere is an exposed point of the
corresponding closed ball
`mem_exposedPoints_of_isMaxOn_dist` - a point `y ∈ S` that maximizes distance
to a fixed center `z` is an exposed point of `S`
`exposedPoints_closedBall_eq_sphere` - the exposed points of a closed ball
are exactly its sphere
Assisted by: Claude Fable 5.1 (used to research certain issues and to complete or optimize certain steps).
Everything is crafted by me or understood and reviewed by me.
---
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|
t-analysis |
77/0 |
Mathlib.lean,Mathlib/Analysis/Convex/Strict/Exposed.lean |
2 |
2 |
['github-actions'] |
nobody |
9-19802 9 days ago |
9-20528 9 days ago |
9-20249 9 days |
1 |
| 40955 |
tb65536 author:tb65536 |
feat(NumberTheory/NumberField/ExistsRamified): galois groups are generated by inertia subgroups |
This PR uses Minkowski's theorem to prove that a Galois group of a number field is generated by its inertia subgroups.
---
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|
t-ring-theory
t-algebra
label:t-algebra$ |
50/9 |
Mathlib/NumberTheory/NumberField/ExistsRamified.lean |
1 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
9-18446 9 days ago |
44-27593 44 days ago |
44-27316 44 days |
1 |
| 41887 |
Ljon4ik4 author:Ljon4ik4 |
feat: lemmas showing properties of ofDerivation added |
Given an `R`-Lie algebra `L` and a commutative `R`-algebra `A`, there is a Lie algebra structure on `(A ⊗[R] L)`.
A derivation of `A` induces a Lie derivation of `(A ⊗[R] L)`, and one obtains a Lie algebra map
```
ofDerivation : Derivation R A A →ₗ⁅R⁆ LieDerivation R (A ⊗[R] L) (A ⊗[R] L)
```
In this PR we add a Lemma showing that `ofDerivation` is in fact `A`-linear, and that the resulting LieDerivation satisfies a Leibniz rule with respect to the `A`-multiplication on `A ⊗[R] L`.
---
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|
t-algebra label:t-algebra$ |
17/0 |
Mathlib/Algebra/Lie/Derivation/BaseChange.lean |
1 |
2 |
['eric-wieser', 'github-actions'] |
eric-wieser assignee:eric-wieser |
9-7496 9 days ago |
9-8657 9 days ago |
74-60389 74 days |
0 |
| 43848 |
plp127 author:plp127 |
chore(Data/Nat/Init): rename recursor arguments |
Name the motive `motive` and name the minor premises according to their contents.
---
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|
t-data
tech debt
|
149/149 |
Archive/Imo/Imo1981Q3.lean,Archive/Imo/Imo2024Q3.lean,Mathlib/Algebra/ContinuedFractions/Euler.lean,Mathlib/Algebra/Polynomial/Sequence.lean,Mathlib/Analysis/Calculus/ContDiff/Bounds.lean,Mathlib/Analysis/Hofer.lean,Mathlib/Combinatorics/Enumerative/Catalan/Tree.lean,Mathlib/Data/Fin/Basic.lean,Mathlib/Data/Nat/Init.lean,Mathlib/FieldTheory/IsRealClosed/Basic.lean,Mathlib/GroupTheory/GroupAction/Jordan.lean,Mathlib/GroupTheory/Nilpotent.lean,Mathlib/LinearAlgebra/Eigenspace/Triangularizable.lean,Mathlib/LinearAlgebra/Finsupp/Pi.lean,Mathlib/LinearAlgebra/Multilinear/Basic.lean,Mathlib/NumberTheory/DiophantineApproximation/Basic.lean,Mathlib/NumberTheory/FLT/Polynomial.lean,Mathlib/NumberTheory/ModularForms/LevelOne/DimensionFormula.lean,Mathlib/NumberTheory/Pell.lean,Mathlib/NumberTheory/Primorial.lean,Mathlib/NumberTheory/RamificationInertia/Basic.lean,Mathlib/Order/KrullDimension.lean,Mathlib/Probability/Kernel/IonescuTulcea/Traj.lean,Mathlib/RingTheory/Adjoin/PowerBasis.lean,Mathlib/RingTheory/AdjoinRoot.lean,Mathlib/RingTheory/Etale/QuasiFinite.lean,Mathlib/RingTheory/Ideal/KrullsHeightTheorem.lean,Mathlib/RingTheory/IntegralClosure/IsIntegral/AlmostIntegral.lean,Mathlib/RingTheory/Polynomial/Eisenstein/IsIntegral.lean,Mathlib/RingTheory/Polynomial/IsIntegral.lean,Mathlib/RingTheory/Polynomial/Resultant/Basic.lean,Mathlib/RingTheory/WittVector/Defs.lean,Mathlib/RingTheory/WittVector/StructurePolynomial.lean,Mathlib/RingTheory/ZariskisMainTheorem.lean,Mathlib/Topology/CWComplex/Classical/Basic.lean,Mathlib/Topology/Metrizable/Uniformity.lean |
36 |
1 |
['Parcly-Taxel', 'github-actions'] |
nobody |
9-7040 9 days ago |
15-68527 15 days ago |
15-86135 15 days |
0 |
| 43898 |
Nicola9Falciola author:Nicola9Falciola |
feat(RingTheory/ZMod/LocalRing): add that `ZMod (p ^ r)` is a local ring |
---
Add a new file `Mathlib/RingTheory/ZMod/LocalRing ` proving that `ZMod p ^ r ` is a local ring
and that the canonical map `ZMod n ^ r →+* ZMod n` is a local homorphism.
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|
t-ring-theory |
36/0 |
Mathlib.lean,Mathlib/RingTheory/ZMod/LocalRing.lean |
2 |
2 |
['github-actions'] |
nobody |
9-7000 9 days ago |
14-15952 14 days ago |
14-15673 14 days |
2 |
| 43722 |
tb65536 author:tb65536 |
refactor: replace `padicValNat` with `multiplicity` |
This doesn't fully deprecate `padicValNat`, but gets most of the way there. Full deprecation will be in a follow-up PR.
I directly replaced "padicValNat" with "multiplicity" in the declaration names. A few declarations of the form `padicValNat.foo` were manually renamed to `Nat.multiplicity_foo`.
---
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|
t-algebra
t-number-theory
label:t-algebra$ |
466/308 |
Archive/Imo/Imo2025Q3.lean,Mathlib/Data/Nat/Factorization/Basic.lean,Mathlib/Data/Nat/Factorization/Defs.lean,Mathlib/Data/Nat/PadicValNat.lean,Mathlib/NumberTheory/Harmonic/Int.lean,Mathlib/NumberTheory/Multiplicity.lean,Mathlib/NumberTheory/Ostrowski.lean,Mathlib/NumberTheory/Padics/MahlerBasis.lean,Mathlib/NumberTheory/Padics/PadicNorm.lean,Mathlib/NumberTheory/Padics/PadicNumbers.lean,Mathlib/NumberTheory/Padics/PadicVal/Basic.lean,Mathlib/NumberTheory/Padics/PadicVal/Defs.lean,Mathlib/NumberTheory/SumTwoSquares.lean,Mathlib/RingTheory/DividedPowers/Padic.lean,Mathlib/RingTheory/Polynomial/Cyclotomic/Eval.lean |
15 |
10 |
['Multramate', 'b-mehta', 'github-actions', 'mathlib-merge-conflicts', 'tb65536'] |
nobody |
9-5940 9 days ago |
9-8077 9 days ago |
19-12349 19 days |
0 |
| 43987 |
grunweg author:grunweg |
chore: reorder mvfderiv lemmas |
Previously, there was a section of lemmas about mvfderivWithin, then a corresponding section about mvfderiv. Ensuring these sections matched was a bit cumbersome, as one had to scroll back and forth all the time.
Instead, move a lemma mvfderiv_foo right after its counterpart mvfderivWithin_foo. (Usually, this matches how it is proved also.) This matches the structure in e.g. the file about mfderiv.
---
- [x] depends on: #43986
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|
t-differential-geometry |
36/35 |
Mathlib/Geometry/Manifold/MFDeriv/NormedSpace.lean |
1 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
9-2159 9 days ago |
9-3770 9 days ago |
9-3551 9 days |
1 |
| 41217 |
Probablism author:Probablism |
feat(SimpleGraph/Matching): add graph-level IsMatching |
Closes #11911.
This adds a graph-level `SimpleGraph.IsMatching` predicate. It is support-based, so isolated
vertices are allowed: every vertex in the graph support is incident to exactly one edge.
The existing `Subgraph.IsMatching` predicate is unchanged. I added compatibility lemmas relating it
to `M.spanningCoe`, including an iff characterizing the subgraph predicate as graph-level matching
plus `M.support = M.verts`.
Validation:
- `lake env lean Mathlib/Combinatorics/SimpleGraph/Matching.lean`
- `lake build Mathlib.Combinatorics.SimpleGraph.Matching`
- `lake build Mathlib.Combinatorics.SimpleGraph.Hall Mathlib.Combinatorics.SimpleGraph.Tutte Mathlib.Combinatorics.SimpleGraph.UniversalVerts`
- `lake exe lint-style Mathlib/Combinatorics/SimpleGraph/Matching.lean`
- `lake build Mathlib`
- `lake test`
AI assistance: OpenAI Codex assisted with testing and validation.
|
t-combinatorics
new-contributor
|
41/3 |
Mathlib/Combinatorics/SimpleGraph/Matching.lean |
1 |
4 |
['Probablism', 'SnirBroshi', 'github-actions'] |
b-mehta assignee:b-mehta |
8-77017 8 days ago |
92-79836 92 days ago |
92-79557 92 days |
0 |
| 42630 |
will1491 author:will1491 |
feat(Analysis/Complex): define Wirtinger derivatives |
Define the Wirtinger derivatives `Complex.wirtingerDeriv` and `Complex.wirtingerDerivBar` from `fderiv ℝ`, and prove: the Cauchy-Riemann characterization of complex differentiability (pointwise and on open sets), agreement of `wirtingerDeriv` with `deriv` for holomorphic functions, additivity, Leibniz product rules, conjugation identities, both Wirtinger chain rules, and the Wirtinger decomposition of a real-linear map `ℂ →L[ℝ] ℂ`.
Extracted from https://github.com/will1491/RiemannDynamics, where it underlies the Beltrami-equation and Cauchy/Beurling-transform theory used in the proof of the measurable Riemann mapping theorem.
---
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|
t-analysis
new-contributor
|
253/0 |
Mathlib.lean,Mathlib/Analysis/Complex/Wirtinger.lean |
2 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
ADedecker assignee:ADedecker |
8-77015 8 days ago |
21-4702 21 days ago |
51-66464 51 days |
0 |
| 42820 |
tolgadgrmnc27 author:tolgadgrmnc27 |
feat(Data/Nat/Choose): elementary Chernoff bound for tail sums of binomial coefficients |
Adds an elementary, purely combinatorial Chernoff-type bound on tail sums of
binomial coefficients:
```lean
theorem Nat.sum_Ico_choose_le_div (n m : ℕ) {x : α} (hx : 1 ≤ x) :
∑ j ∈ Ico m (n + 1), (n.choose j : α) ≤ (1 + x) ^ n / x ^ m
```
together with the specialization at `x = 2`:
```lean
theorem Nat.sum_Ico_choose_le_three_pow_div (n m : ℕ) :
∑ j ∈ Ico m (n + 1), (n.choose j : α) ≤ 3 ^ n / 2 ^ m
```
The proof is the classical exponential moment trick done combinatorially: for
`m ≤ j` and `1 ≤ x` we have `x ^ m ≤ x ^ j`, so the tail sum is bounded by
`x ^ (-m) * ∑ j, n.choose j * x ^ j = x ^ (-m) * (1 + x) ^ n` by the binomial
theorem. A helper `Nat.sum_range_choose_mul_pow` states the binomial theorem in
the convenient form `∑ j ≤ n, n.choose j * x ^ j = (1 + x) ^ n`.
### Why this is not already in Mathlib
* `Nat.sum_range_choose` gives the *total* sum `∑ j ≤ n, n.choose j = 2 ^ n`.
* `Mathlib/Data/Nat/Choose/Bounds.lean` bounds a *single* coefficient
(`choose_le_pow`, `choose_le_two_pow`, `choose_le_pow_div`, …).
* `Mathlib/Probability/Moments/SubGaussian.lean` has Chernoff/Hoeffding, but
measure-theoretically: using it for a counting argument requires setting up a
probability space with independent Bernoulli variables and translating back
to cardinalities.
I could not find a statement bounding a *partial* sum of binomial
coefficients. The version here needs no probability space and applies directly
to counting arguments (its original use was bounding the number of `n < 2 ^ k`
whose first `k` binary digits contain at least `m` ones).
### Notes
* Stated over a general `[Semifield α] [LinearOrder α] [IsStrictOrderedRing α]`,
matching the typeclass style of `Mathlib/Data/Nat/Choose/Bounds.lean`.
* `Ico m (n + 1)` rather than a `filter (m ≤ ·)` form, as is idiomatic in
Mathlib; the two are equal by `Finset.filter_le_eq_Ico`-style reasoning.
* Names are of course open to bikeshedding.
---
- [x] depends on: nothing
|
t-data
new-contributor
|
84/0 |
Mathlib.lean,Mathlib/Data/Nat/Choose/Tail.lean |
2 |
3 |
['github-actions'] |
TwoFX assignee:TwoFX |
8-77014 8 days ago |
46-37992 46 days ago |
46-37713 46 days |
0 |
| 44099 |
xiahongchi author:xiahongchi |
feat: maximize concave functions at stationary points |
Adds two first-order maximum principles for real concave functions:
* `ConcaveOn.le_of_hasDerivAt_eq_zero`
* `ConcaveOn.isGreatest_of_hasDerivAt_eq_zero`
They use the existing secant-slope bounds and require differentiability only at the candidate maximizer.
Tested by compiling `Mathlib/Analysis/Convex/Deriv.lean` locally. |
t-analysis
new-contributor
|
31/0 |
Mathlib/Analysis/Convex/Deriv.lean |
1 |
3 |
['github-actions'] |
nobody |
8-76883 8 days ago |
8-78113 8 days ago |
8-77834 8 days |
0 |
| 44101 |
xiahongchi author:xiahongchi |
feat: add continuity-set convergence for finite measures |
This adds two finite-measure Portmanteau consequences:
* evaluations converge on sets whose frontier has zero limiting mass;
* restriction to such a continuity set is continuous under weak convergence.
The evaluation theorem handles a zero limiting measure directly via total mass; otherwise it normalizes to probability measures. The restriction theorem again separates mass and normalized probability convergence, controlling the frontiers of intersections.
Both declarations elaborate against the released API in the originating project. Compiling the current upstream file with that older toolchain produces only three known pre-existing `eventuallySubset` version-mismatch errors; neither new declaration reports an error. Full current-toolchain validation is delegated to this PR’s CI. |
t-measure-probability
new-contributor
|
105/0 |
Mathlib/MeasureTheory/Measure/Portmanteau.lean |
1 |
2 |
['github-actions'] |
nobody |
8-76334 8 days ago |
8-77326 8 days ago |
8-77340 8 days |
0 |
| 40736 |
tb65536 author:tb65536 |
feat(NumberTheory/NumberField/HeckeLFunction): define Hecke L-Functions |
This PR defines Hecke L-Functions.
---
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|
t-number-theory
t-algebra
label:t-algebra$ |
130/0 |
Mathlib.lean,Mathlib/NumberTheory/NumberField/HeckeLFunction.lean |
2 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
8-76114 8 days ago |
35-6007 35 days ago |
35-6132 35 days |
0 |
| 44100 |
xiahongchi author:xiahongchi |
feat: characterize finite-measure convergence by Lipschitz tests |
This adds the finite-measure counterpart of the bounded-Lipschitz Portmanteau criterion. The reverse implication separates total-mass convergence from convergence of normalized probability measures, with a separate zero-limit branch.
The proof was exercised in the originating project against the released Portmanteau API. The upstream master file currently requires Lean v4.35.0-rc2, so the authoritative full-file check is this PR’s CI. |
t-measure-probability
new-contributor
|
68/0 |
Mathlib/MeasureTheory/Measure/Portmanteau.lean |
1 |
2 |
['github-actions'] |
nobody |
8-75678 8 days ago |
8-77016 8 days ago |
8-77019 8 days |
0 |
| 44103 |
xiahongchi author:xiahongchi |
feat: equate derivatives of ordered functions at contact points |
This adds Fréchet-derivative and scalar-derivative lemmas saying that two everywhere-ordered real-valued functions have equal derivatives wherever they agree. The proof applies Fermat’s theorem to their nonnegative difference.
This packages and generalizes the scalar envelope argument from Bryan Sanchez’s `NSBlwChain/Caveats/C2_Envelope.lean` at `Brsanch/ns-lean-proofs@b73f537d1646165fbdc0993c5b2e223355dc3469` (MIT).
The new declarations elaborate under the released toolchain; compiling the current master file there reports only one pre-existing current-Lean field-notation incompatibility before the new code. Current-toolchain CI is authoritative. |
t-analysis
new-contributor
|
20/0 |
Mathlib/Analysis/Calculus/LocalExtr/Basic.lean |
1 |
2 |
['github-actions'] |
nobody |
8-75198 8 days ago |
8-76457 8 days ago |
8-76475 8 days |
0 |
| 44098 |
xiahongchi author:xiahongchi |
feat: add a translation lemma for absolute continuity on intervals |
Adds `AbsolutelyContinuousOnInterval.comp_add_right`, showing that translating both an interval and the input of a function preserves absolute continuity.
The statement is polymorphic in the pseudometric codomain.
Tested by compiling `Mathlib/MeasureTheory/Integral/IntervalIntegral/AbsolutelyContinuousFun.lean` locally. |
t-measure-probability
new-contributor
|
37/0 |
Mathlib/MeasureTheory/Integral/IntervalIntegral/AbsolutelyContinuousFun.lean |
1 |
4 |
['SnirBroshi', 'github-actions'] |
nobody |
8-73923 8 days ago |
8-74873 8 days ago |
8-77901 8 days |
0 |
| 35217 |
kim-em author:kim-em |
feat: auxiliary lemmas for Artin and braid groups |
This PR adds small lemmas to existing files, in preparation for the Artin groups and braid groups PRs.
- `Commute.mul_pow_eq_one`: for commuting elements with `a ^ m = 1` and `b ^ m = 1`
- `Equiv.Perm.swap_conjugate`: braid relation for adjacent transpositions
- `Equiv.Perm.swap_mul_swap_comm_of_disjoint`: disjoint transpositions commute
- `@[grind =]` attributes on `Perm.mul_apply`, `Perm.one_apply`; new `Perm.pow_add_one_apply`
- `Subgroup.normalClosure_singleton_one`
- `FreeGroup.ofList` and associated lemmas
- `FreeGroup.freeGroupUnitMulEquivInt`
- `PresentedGroup.instUniqueOfIsEmpty`
- `CoxeterMatrix.Aₙ_adjacent`, `CoxeterMatrix.Aₙ_far`
🤖 Prepared with Claude Code |
t-group-theory
LLM-generated
|
64/2 |
Mathlib/Algebra/Group/Commute/Defs.lean,Mathlib/Algebra/Group/End.lean,Mathlib/Algebra/Group/Subgroup/Basic.lean,Mathlib/GroupTheory/Coxeter/Matrix.lean,Mathlib/GroupTheory/FreeGroup/Basic.lean,Mathlib/GroupTheory/Perm/Cycle/Basic.lean,Mathlib/GroupTheory/PresentedGroup.lean |
7 |
25 |
['eric-wieser', 'github-actions', 'kim-em', 'mathlib-merge-conflicts', 'tb65536', 'themathqueen'] |
tb65536 assignee:tb65536 |
8-71301 8 days ago |
8-75102 8 days ago |
45-59812 45 days |
3 |
| 42825 |
wwylele author:wwylele |
feat(Analysis/SpecialFunctions): derivative of Bessel function of the first kind |
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|
t-analysis |
213/3 |
Mathlib/Analysis/Calculus/FDeriv/Analytic.lean,Mathlib/Analysis/SpecialFunctions/Bessel.lean,Mathlib/Analysis/SpecialFunctions/RegularizedHypergeometric.lean |
3 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
8-69658 8 days ago |
12-30916 12 days ago |
12-30637 12 days |
1 |
| 42128 |
SnirBroshi author:SnirBroshi |
feat(Order/UpperLower/CompleteLattice): induce the `PartialOrder` for `LowerSet`s from `SetLike` |
Now `#synth IsConcreteLE (LowerSet α) α` works so `SetLike.coe_subset_coe` and the like can be used with `LowerSet`s.
---
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|
t-order |
2/2 |
Mathlib/Order/Birkhoff.lean,Mathlib/Order/UpperLower/CompleteLattice.lean |
2 |
1 |
['github-actions'] |
nobody |
8-67753 8 days ago |
62-8365 62 days ago |
62-9296 62 days |
0 |
| 41728 |
vaca22 author:vaca22 |
feat(GroupTheory): prove uniqueness of ℤᵐ⁰ automorphisms |
Prove that every order-preserving multiplicative automorphism of ℤᵐ⁰ is the identity. This also gives a Unique instance for its automorphism type and a Subsingleton instance for order-preserving multiplicative normalizations from G to ℤᵐ⁰.
The proof transports an automorphism through WithZero.exp and WithZero.log to an additive automorphism of ℤ, then excludes negation by monotonicity.
------------
**AI disclosure**: this PR is primarily LLM-generated (Claude Code).
|
t-group-theory
new-contributor
LLM-generated
|
58/0 |
Mathlib/GroupTheory/ArchimedeanDensely.lean |
1 |
16 |
['github-actions', 'grunweg', 'tb65536', 'vaca22', 'wwylele'] |
nobody |
8-66024 8 days ago |
26-25011 26 days ago |
40-69274 40 days |
0 |
| 44064 |
mcdoll author:mcdoll |
chore: tag definitions with `fun_prop` |
No new lemmas are being tagged yet, just the definitions.
To fix the build, some `measurability` attributes had to be changed to `fun_prop` and a test had to be adjusted.
Only slightly controversial change could be the import of `FunProp` in `Mathlib/Logic/Function/Defs.lean`.
---
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|
large-import |
30/9 |
Mathlib/Analysis/BoxIntegral/Basic.lean,Mathlib/Analysis/Calculus/ContDiffHolder/Pointwise.lean,Mathlib/Logic/Function/Defs.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Defs.lean,Mathlib/MeasureTheory/Function/StronglyMeasurable/AEStronglyMeasurable.lean,Mathlib/MeasureTheory/Integral/IntegrableOn.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/Basic.lean,Mathlib/Tactic/FunProp.lean,Mathlib/Topology/EMetricSpace/Lipschitz.lean,Mathlib/Topology/MetricSpace/Holder.lean,MathlibTest/FunPropMinimal.lean |
11 |
1 |
['github-actions'] |
nobody |
8-62187 8 days ago |
8-66559 8 days ago |
8-76201 8 days |
0 |
| 37730 |
RemyDegenne author:RemyDegenne |
feat: define total variation distance |
Define the total variation distance between two finite measures, using the variation of the difference seen as signed measures.
---
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|
t-measure-probability |
494/0 |
Mathlib.lean,Mathlib/MeasureTheory/Measure/Decomposition/Lebesgue.lean,Mathlib/MeasureTheory/Measure/MutuallySingular.lean,Mathlib/MeasureTheory/Measure/TotalVariation/Basic.lean,Mathlib/MeasureTheory/Measure/TotalVariation/Defs.lean,Mathlib/MeasureTheory/Measure/WithDensity.lean,Mathlib/MeasureTheory/VectorMeasure/Operations.lean,Mathlib/MeasureTheory/VectorMeasure/TotalVariation.lean |
8 |
36 |
['DavidLedvinka', 'EtienneC30', 'RemyDegenne', 'github-actions', 'kex-y', 'mathlib-merge-conflicts'] |
EtienneC30 assignee:EtienneC30 |
8-50725 8 days ago |
9-48857 9 days ago |
59-43479 59 days |
0 |
| 43485 |
lua-vr author:lua-vr |
feat(Measure/Prod): add map_prod_map_of_aemeasurable |
The goal of the PR is to add `map_prod_map_of_aemeasurable`, but we also add missing lemmas and remove one of the assumptions along the way.
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t-measure-probability |
69/17 |
Mathlib/MeasureTheory/Group/Convolution.lean,Mathlib/MeasureTheory/Group/Measure.lean,Mathlib/MeasureTheory/Measure/GiryMonad.lean,Mathlib/MeasureTheory/Measure/Prod.lean |
4 |
2 |
['github-actions', 'mathlib-bors'] |
nobody |
8-47563 8 days ago |
25-32832 25 days ago |
25-33734 25 days |
2 |
| 43348 |
tb65536 author:tb65536 |
chore(GroupTheory/Nilpotent): split off material on lower central series |
`GroupTheory/Nilpotent.lean` is getting rather long and messy. This PR splits off the material on lower central series to a new file.
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t-algebra
t-group-theory
label:t-algebra$ |
250/201 |
Mathlib.lean,Mathlib/GroupTheory/Nilpotent.lean,Mathlib/GroupTheory/Nilpotent/LowerCentralSeries.lean |
3 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
8-46754 8 days ago |
8-48166 8 days ago |
26-7319 26 days |
0 |
| 43777 |
JovanGerb author:JovanGerb |
feat(Linter): linter for redundant `<|` syntax |
This PR implements a syntax linter (`linter.style.redundantSyntax`) that warns when the pipe operator `<|` is redundant.
To determine that it is redundant, we check for `f <| a` that `a` either has `max` precedence or is a `do` block, and `f` either has `max` precedence or is an application. To determine that something has `max` precedence, we hard-code a list of such syntaxes, and we detect any atomic syntax.
This linter does not lint against `<| fun` because in this case one could argue that the `<|` helps with readability.
This linter is part of the deprecated syntax linter, so that we don't have yet another linter doing a loop through all syntax. But the name "deprecated syntax linter" will definitely be wrong after this addition - we should probably rename it.
Potential future extensions:
- redundant brackets around syntax that already parses at `max` precedence (e.g. `([1,2,3])`)
- redundant brackets in places where anything parses already (e.g. `fun x => (...)`)
- redundant `|>.` when direct dot notation also works.
(See also #31769 which did some such replacements a while ago)
https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Linter.20for.20redundant.20.60.3C.7C.60/with/623892487
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t-linter
t-meta
|
227/15 |
Mathlib/Init.lean,Mathlib/RingTheory/Adjoin/Polynomial/Basic.lean,Mathlib/Tactic/Linter/DeprecatedSyntaxLinter.lean,MathlibTest/Linter/RedundantSyntax.lean |
4 |
8 |
['JovanGerb', 'Multramate', 'Parcly-Taxel', 'github-actions', 'leanprover-radar', 'mathlib-dependent-issues'] |
nobody |
8-44373 8 days ago |
9-2052 9 days ago |
9-52266 9 days |
1 |
| 43349 |
Nicola9Falciola author:Nicola9Falciola |
feat(Algebra/FreeAbelianGroup/Finsupp): add api for the coeff of a single element |
---
Add two API lemmas computing the coefficent of the form `of x` for `x : X` in the FreeAbelianGroup.
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new-contributor
t-algebra
label:t-algebra$ |
8/0 |
Mathlib/Algebra/FreeAbelianGroup/Finsupp.lean |
1 |
2 |
['github-actions'] |
nobody |
8-42616 8 days ago |
29-26671 29 days ago |
29-26392 29 days |
0 |
| 43811 |
emlis42 author:emlis42 |
feat(Analysis/SpecialFunctions): add complex Lambert W function |
This PR adds complex Lambert W function, and proves basic bijectivity.
## Main definitions
* `Complex.LambertW.domain k`: the domain of the `k`-th branch in the z-plane.
* `Complex.LambertW.range k`: the range of the `k`-th branch in the w-plane.
* `Complex.LambertW.index hw`: the unique index of the branch containing `w ≠ -1`.
* `Complex.lambertW k`: the `k`-th branch `W_ k` of the Lambert W function.
## Main results
* `Complex.LambertW.existsUnique_mem_range_mul_exp_eq`: every point in the domain of a branch has a
unique preimage in its range.
* `Complex.LambertW.bijOn_mul_exp_range_domain`:
`w ↦ w * cexp w` is a bijection from `range k` to `domain k`.
* `Complex.lambertW_mul_exp_of_mem_range`:
`W_ k (w * cexp w) = w` for `w ∈ range k`.
* `Complex.lambertW_mul_exp_lambertW_of_mem_domain`:
`W_ k z * cexp (W_ k z) = z` for `z ∈ domain k`.
* `Complex.eq_mul_exp_iff_exists_eq_lambertW`: `z = w * cexp w` if and only if `w = W_ k z` for
some branch `k` with `z ∈ domain k`.
* `Complex.eq_index_of_mem_lambertW`: the branch index in the previous statement is
unique whenever `w ≠ -1`.
## Notations
* `W_ k` is `Complex.lambertW k`.
* `W₀` is the principal branch `W_ 0`.
* `W₋₁` is `W_ (-1)`.
Discussed here: [adding the Complex LambertW function](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/adding.20the.20Complex.20LambertW.20function/with/622137962)
---
I asked LLM some proof details like `im_eq_zero_of_arg_add_im_eq_pi_of_mul_exp_mem` |
t-analysis |
1059/0 |
Mathlib.lean,Mathlib/Analysis/SpecialFunctions/Complex/Arg.lean,Mathlib/Analysis/SpecialFunctions/Exp.lean,Mathlib/Analysis/SpecialFunctions/LambertW/Basic.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean,docs/references.bib |
6 |
11 |
['Multramate', 'SnirBroshi', 'emlis42', 'github-actions', 'wwylele'] |
nobody |
8-31216 8 days ago |
16-23274 16 days ago |
16-24660 16 days |
2 |
| 44131 |
Kratostau author:Kratostau |
feat(Algebra/ContinuedFractions): lower bound for the error of convergents |
Add GenContFract.one_div_lt_abs_sub_convs immediately after abs_sub_convs_le.
If the continued fraction has not terminated at n, then
1 / (dens n * (dens (n + 1) + dens n)) < |v - convs n|.
The branch is rebased on master 85b64c1. Approximations.lean compiles with no warning. ApproximationCorollaries and DiophantineApproximation.ContinuedFractions build. Axioms: propext, Classical.choice, Quot.sound.
AI disclosure: Claude Science Opus 5.5 drafted the proof by adapting abs_sub_convs_le. A second agent changed if_false to ite_false and removed two unused simp arguments, then recompiled. lint-style and runLinter passed on master 6a00b6b4 and were not rerun after the rebase to 85b64c1. A content search on 6a00b6b4 and a GitHub issue search found no equivalent lower bound. The human author has not certified a line-by-line reading of the proof.
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|
t-algebra
new-contributor
label:t-algebra$ |
58/1 |
Mathlib/Algebra/ContinuedFractions/Computation/Approximations.lean |
1 |
2 |
['github-actions'] |
nobody |
8-25263 8 days ago |
8-26254 8 days ago |
8-25975 8 days |
0 |
| 43280 |
idontgetoutmuch author:idontgetoutmuch |
feat(Topology/VectorBundle): coordinate lemmas for the bundle of bilinear forms |
Two coordinate-level identities for the bundle of scalar-valued bilinear forms
`fun x ↦ E₁ x →L[𝕜] E₁ x →L[𝕜] 𝕜` over a vector bundle, added to
`Mathlib/Topology/VectorBundle/Hom.lean`:
- `inCoordinates_apply_eq₂_bilin`: specialisation of `inCoordinates_apply_eq₂` to
scalar-valued forms on a single bundle (`E₂ = E₁`, `E₃ = Bundle.Trivial B 𝕜`);
- `trivializationAt_symm_apply_bilin`: the inverse trivialization of the bilinear-forms
bundle, applied to fibre vectors, equals the model form on their images under
`continuousLinearMapAt`.
`Hom.lean` now imports `Mathlib.Topology.VectorBundle.Constructions`, which is needed
for the `Bundle.Trivial` instances used in these statements.
`inCoordinates_apply_eq₂_bilin` is used to simplify six proof steps in
`Mathlib/Topology/VectorBundle/Riemannian.lean`, which previously applied
`inCoordinates_apply_eq₂ h h (Set.mem_univ _)` and then simplified away the trivial-bundle
`linearMapAt` by hand. Two ad hoc `convert!` proofs there are replaced by the existing
`Trivialization.symm_linearMapAt`.
This is the first piece split out of #33714 (existence of a Riemannian metric on a
manifold), which will be rebased on top of this PR. |
t-topology
new-contributor
|
45/20 |
Mathlib/Topology/VectorBundle/Hom.lean,Mathlib/Topology/VectorBundle/Riemannian.lean |
2 |
21 |
['github-actions', 'grunweg', 'idontgetoutmuch'] |
nobody |
8-23067 8 days ago |
8-23067 8 days ago |
30-37138 30 days |
0 |
| 44124 |
joelriou author:joelriou |
feat(Algebra/Homology/Embedding): more API for the stupid truncations |
We define the monomorphism `K.stupidTrunc e ⟶ K` when the embedding of complex shapes `e` satisfies `e.IsTruncGE`. (We also proceed to the dual definition.)
---
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t-category-theory
t-algebra
tech debt
label:t-algebra$ |
205/13 |
Mathlib/Algebra/Homology/Embedding/Restriction.lean,Mathlib/Algebra/Homology/Embedding/StupidTrunc.lean |
2 |
3 |
['github-actions', 'joelriou', 'themathqueen'] |
nobody |
8-22879 8 days ago |
8-31997 8 days ago |
8-31815 8 days |
1 |
| 44137 |
MrBrain295 author:MrBrain295 |
chore(Combinatorics/SimpleGraph): golf `Coloring.odd_length_iff_not_c… |
…ongr`
---
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t-combinatorics
new-contributor
|
1/2 |
Mathlib/Combinatorics/SimpleGraph/Coloring/Constructions.lean |
1 |
2 |
['github-actions'] |
nobody |
8-22302 8 days ago |
8-23545 8 days ago |
8-23266 8 days |
0 |
| 41206 |
Ljon4ik4 author:Ljon4ik4 |
feat: strict Lie-Rinehart ideals and Quotients by them |
In this PR strict ideals in the context of Lie-Rinehart algebras are defined and it is shown that quotients by them are again Lie-Rinehart algebras.
## Context on Lie-Rinehart algebras
A Lie-Rinehart algebra is given by a couple of an `R`-algebra `A` and an `R`-Lie-Algebra `L` acting on each other and satisfying certain compatibility conditions. The most important example of Lie-Rinehart algebras in geometry is given by `A`=smooth functions on a smooth manifold, and `L`= vector fields on the manifold. Many important geometric constructions (differential forms, Cartan calculus) are defined naturally in terms of Lie-Rinehart algebras.
## Relevance of the construction
This construction of quotients by ideals will be important to define the Basechange of Lie-Rineahart algebras, which in turn is necessary to define 'comorphisms'. Comorphisms are the right notion of morphism to do geometry (e.g. a smooth map between two manifolds corresponds to a comorphism of their associated Lie-Rinehart algebras).
## Strictness
The ideals here are called strict, because it is assumed that `A` remains untouched and one only considers a subobject of `L`. There seems to be constructions for non-strict ideals, but the definitions are more complicated:
https://www.uni-math.gwdg.de/mjotz/JotzLean18c.pdf
https://arxiv.org/pdf/1706.07084
## Changes made
The files `StrictIdeal.lean` and `Quotient.lean` are new, containing the definition of the ideals and the fact that quotients are again Lie-Rinehart algebras. The `Subalgebra.lean` was mildly changed, since it seemed strange to have `comap` and `ker` without having `map` and `range`.
## Disclosure of AI use
All code is hand-written, I used claude interpret debug messages and search for lemmas.
I think most notably the following patterns were proposed by claude:
* `mul_smul := by rintro r₁ r₂ ⟨x⟩; exact congrArg mk (mul_smul r₁ r₂ x)` to show that things are well-defined on the quotient.
* `change f.toLinearMap' ⁅x, y⁆ ∈ s₂` in the proof in `comap`. (I had a simp there, which had as a result `f.toLinearMap' ⁅x, y⁆ ∈ s₂`, but somehow the subsequent steps did not work then)
## Questions open
* I am not sure if strict is a good prefix, and am happy to change it to something else.
(Also, one could even argue that the subalgebras, as defined currently, should be called strict, too...)
* In the definition of `mk'` the `toFun` field seems obsolete to me, but somehow if I remove it I get an error in one of the lemmas after it.
* I am not sure I fully understand the 'per-definition' expose rules. When I first committed I got some errors so I made two defs exposed, but I am not sure that is the correct way to go.
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t-algebra label:t-algebra$ |
442/0 |
Mathlib.lean,Mathlib/Algebra/LieRinehartAlgebra/Quotient.lean,Mathlib/Algebra/LieRinehartAlgebra/StrictIdeal.lean,Mathlib/Algebra/LieRinehartAlgebra/Subalgebra.lean |
4 |
1 |
['github-actions'] |
faenuccio and jjdishere assignee:faenuccio assignee:jjdishere |
8-20198 8 days ago |
74-18313 74 days ago |
93-12439 93 days |
0 |
| 44138 |
pechersky author:pechersky |
chore(Topology/Instances/PNat): move topology into its own file, explicitly DiscreteTopology |
Previously, the topology on `PNat` was a by-product of the "subspace metric space" instance, as a subtype of `Nat`. Instead, we now declare the topology independently as the "bot" discrete topology, prior to the `MetricSpace` declaration, and then show the topology agrees to the "subspace metric space" one.
In the future, we will be able to move the topology declaration even earlier, to where the topologies of `Nat` and `Int` live.
Factored out #40785, as requested by
https://github.com/leanprover-community/mathlib4/pull/40785/changes#r3574283818
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Could be somewhat cleaner if #43876 is merged. |
t-topology |
19/5 |
Mathlib/Topology/Instances/PNat.lean |
1 |
4 |
['Ruben-VandeVelde', 'github-actions', 'pechersky'] |
nobody |
8-11306 8 days ago |
8-21455 8 days ago |
8-21176 8 days |
1 |
| 34094 |
Brian-Nugent author:Brian-Nugent |
feat(Topology/Sheaves): use `abbrev` for `Presheaf`, `IsSheaf`, and 'Sheaf' |
Changing `TopCat.Presheaf`, `TopCat.Presheaf.IsSheaf`, and 'TopCat.Sheaf' from defs to abbrevs.
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t-topology |
6/7 |
Mathlib/Topology/Sheaves/AddCommGrpCat.lean,Mathlib/Topology/Sheaves/Flasque.lean,Mathlib/Topology/Sheaves/LocallySurjective.lean,Mathlib/Topology/Sheaves/Sheaf.lean |
4 |
5 |
['Brian-Nugent', 'github-actions', 'leanprover-radar', 'robin-carlier'] |
nobody |
8-9975 8 days ago |
8-11222 8 days ago |
11-71670 11 days |
0 |
| 41469 |
SnirBroshi author:SnirBroshi |
feat(SimpleGraph/Coloring/EdgeLabeling): `Unique` & `IsEmpty` instances and simplify `mk` |
---
The changes aren't related, they're just small so I grouped them together.
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t-combinatorics
maintainer-merge
|
8/5 |
Mathlib/Combinatorics/SimpleGraph/Coloring/EdgeLabeling.lean |
1 |
2 |
['Ruben-VandeVelde', 'github-actions'] |
nobody |
8-8908 8 days ago |
86-7275 86 days ago |
86-6996 86 days |
0 |
| 44144 |
Brian-Nugent author:Brian-Nugent |
chore: tag more functors implicit_reducible |
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|
tech debt |
53/71 |
Mathlib/Algebra/Category/ModuleCat/Differentials/Presheaf.lean,Mathlib/AlgebraicGeometry/ColimitsOver.lean,Mathlib/AlgebraicGeometry/Cover/Directed.lean,Mathlib/AlgebraicGeometry/Scheme.lean,Mathlib/AlgebraicGeometry/Sites/SmallAffineZariski.lean,Mathlib/CategoryTheory/Abelian/GrothendieckCategory/ModuleEmbedding/GabrielPopescu.lean,Mathlib/CategoryTheory/Bicategory/Basic.lean,Mathlib/CategoryTheory/Bicategory/Functor/Prelax.lean,Mathlib/CategoryTheory/Bicategory/Functor/Pseudofunctor.lean,Mathlib/CategoryTheory/Bicategory/Grothendieck.lean,Mathlib/CategoryTheory/Bicategory/LocallyGroupoid.lean,Mathlib/CategoryTheory/Bicategory/Yoneda.lean,Mathlib/CategoryTheory/Category/Cat.lean,Mathlib/CategoryTheory/Category/Cat/Limit.lean,Mathlib/CategoryTheory/Category/PartialFun.lean,Mathlib/CategoryTheory/Category/Pointed.lean,Mathlib/CategoryTheory/Category/RelCat.lean,Mathlib/CategoryTheory/Enriched/Opposite.lean,Mathlib/CategoryTheory/FiberedCategory/Fiber.lean,Mathlib/CategoryTheory/FiberedCategory/Grothendieck.lean,Mathlib/CategoryTheory/Functor/Basic.lean,Mathlib/CategoryTheory/Groupoid/FreeGroupoid.lean,Mathlib/CategoryTheory/Groupoid/FreeGroupoidOfCategory.lean,Mathlib/CategoryTheory/Join/Basic.lean,Mathlib/CategoryTheory/Join/Pseudofunctor.lean,Mathlib/CategoryTheory/LocallyCartesianClosed/Over.lean,Mathlib/CategoryTheory/LocallyCartesianClosed/Sections.lean,Mathlib/CategoryTheory/Monoidal/Cartesian/Ring.lean,Mathlib/CategoryTheory/MorphismProperty/Comma.lean,Mathlib/CategoryTheory/MorphismProperty/OverAdjunction.lean,Mathlib/CategoryTheory/PathCategory/Basic.lean,Mathlib/CategoryTheory/Pi/Monoidal.lean,Mathlib/CategoryTheory/Preadditive/Yoneda/Basic.lean,Mathlib/CategoryTheory/Sites/Closed.lean,Mathlib/CategoryTheory/Topos/Sheaf.lean,Mathlib/Combinatorics/Quiver/Prefunctor.lean,Mathlib/Combinatorics/Quiver/Push.lean,Mathlib/Combinatorics/Quiver/Symmetric.lean,Mathlib/Geometry/RingedSpace/LocallyRingedSpace.lean,Mathlib/Geometry/RingedSpace/SheafedSpace.lean |
40 |
3 |
['Brian-Nugent', 'github-actions', 'leanprover-radar'] |
nobody |
7-83959 7 days ago |
7-83959 7 days ago |
7-83680 7 days |
0 |
| 41565 |
grunweg author:grunweg |
chore: specify doc-strings of auto-generated additive declarations di… |
…rectly
There's no need for add_decl_doc any more.
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|
64/107 |
Mathlib/Algebra/Category/Grp/Basic.lean,Mathlib/Algebra/Group/Action/Basic.lean,Mathlib/Algebra/Group/Action/Defs.lean,Mathlib/Algebra/Group/Action/Hom.lean,Mathlib/Algebra/Group/Hom/Basic.lean,Mathlib/Algebra/Group/Subsemigroup/Basic.lean,Mathlib/Algebra/Notation/Defs.lean,Mathlib/Algebra/Order/BigOperators/Group/Finset.lean,Mathlib/GroupTheory/Finiteness.lean,Mathlib/MeasureTheory/Group/Action.lean,Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean,Mathlib/Topology/Algebra/ConstMulAction.lean |
12 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
7-81566 7 days ago |
7-84582 7 days ago |
28-37900 28 days |
0 |
| 27707 |
amellendijk author:amellendijk |
feat(NumberTheory/SelbergSieve): define Selberg's weights and prove basic results |
This PR continues the work from #23635.
Original PR: https://github.com/leanprover-community/mathlib4/pull/23635
- [x] depends on: #27702 |
t-number-theory |
139/2 |
Mathlib/NumberTheory/Divisors.lean,Mathlib/NumberTheory/SelbergSieve.lean |
2 |
36 |
['AlexKontorovich', 'MichaelStollBayreuth', 'ajirving', 'amellendijk', 'github-actions', 'loefflerd', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot'] |
riccardobrasca assignee:riccardobrasca |
7-77019 7 days ago |
84-38423 84 days ago |
87-82871 87 days |
1 |
| 28013 |
astrainfinita author:astrainfinita |
feat: Lindemann-Weierstrass Theorem |
This PR continues the work from #6718.
--------
- [x] depends on: #18693
- [x] depends on: #29121
- [x] depends on: #36762
- [x] depends on: #37797
- [x] depends on: #37811
- [x] depends on: #39237
- [x] depends on: #39238
- [x] depends on: #42864
- [x] depends on: #43091
- [x] depends on: #43092
- [x] depends on: #43093
- [x] depends on: #43501
- [x] depends on: #43515 |
t-number-theory |
704/2 |
Mathlib.lean,Mathlib/NumberTheory/Transcendental/Lindemann/AlgebraicPart.lean,Mathlib/NumberTheory/Transcendental/Lindemann/Basic.lean,docs/100.yaml,docs/1000.yaml |
5 |
59 |
['astrainfinita', 'github-actions', 'grunweg', 'j-loreaux', 'jcommelin', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib-splicebot', 'mathlib4-merge-conflict-bot'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
7-77018 7 days ago |
13-44878 13 days ago |
28-50422 28 days |
0 |
| 41289 |
D-Thomine author:D-Thomine |
feat(Dynamics): recurrents set and refactoring of conservative maps |
This PR deals mostly with `Dynamics.Conservative`. The notion of *recurrent set* is introduced: a set `s` is recurrent if almost every point in `s` returns to `s`. Most properties of conservative maps actually apply to recurrent sets.
The definition of conservative map is changed to align with this notion of recurrent set (a map is conservative if every measurable set is recurrent). Theorem `MeasureTheory.conservative_iff_exists_mem_iterate_mem` expresses the equivalence of the new definition with the older one.
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t-dynamics |
333/114 |
Mathlib/Dynamics/Ergodic/Conservative.lean,Mathlib/Dynamics/Ergodic/MeasurePreserving.lean,Mathlib/MeasureTheory/Measure/QuasiMeasurePreserving.lean,Mathlib/Order/Filter/Basic.lean,Mathlib/Order/Filter/CountableInter.lean,Mathlib/Order/Interval/Finset/Basic.lean |
6 |
29 |
['D-Thomine', 'github-actions', 'mathlib-merge-conflicts', 'mcdoll'] |
sgouezel assignee:sgouezel |
7-77015 7 days ago |
8-9199 8 days ago |
76-57871 76 days |
0 |
| 42836 |
loefflerd author:loefflerd |
feat(NumberTheory/Padics): the Amice transform is a ring isomorphism |
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t-number-theory |
117/1 |
Mathlib/NumberTheory/Padics/Measure/AmiceTransform.lean,Mathlib/Topology/Constructions.lean |
2 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
7-77014 7 days ago |
10-16904 10 days ago |
10-22999 10 days |
0 |
| 43502 |
teorth author:teorth |
feat(NumberTheory/LSeries): root numbers and non-vanishing in the left half-plane |
`Mathlib/NumberTheory/LSeries/Nonvanishing.lean` currently establishes nonvanishing of Dirichlet
`L`-functions and the Riemann zeta function are non-zero to the **right** of the critical strip
(`re s ≥ 1`). This PR adds the counterparts on the **left** (`re s ≤ 0`), which follow from the
functional equation, together with some auxiliary facts about root-numbers and Gauss-sums which
could be independently useful.
---
## Root numbers and Gauss sums
* `DirichletCharacter.completedLFunction_ne_zero_of_one_le_re`: the completed `L`-function
`Λ(χ, s)` is non-zero for `1 ≤ re s` (except for the trivial character at `s = 1`).
* `DirichletCharacter.rootNumber_mul_rootNumber_inv`: for a primitive character,
`rootNumber χ * rootNumber χ⁻¹ = 1`, obtained formally from the functional equation applied to
both `χ` and `χ⁻¹`.
* `DirichletCharacter.norm_rootNumber`: `‖rootNumber χ‖ = 1` for primitive `χ`.
* `DirichletCharacter.norm_gaussSum_stdAddChar`: `‖gaussSum χ stdAddChar‖ = √N` for primitive `χ`
— the classical evaluation `|τ(χ)| = √N`, here derived from the functional equation rather than
the usual finite-field argument, so it holds for every modulus (Mathlib previously only had
Gauss-sum non-vanishing over finite fields).
## Non-vanishing in the left half-plane
* `DirichletCharacter.LFunction_eq_zero_iff_of_re_nonpos`: for a primitive character and `re s ≤ 0` with `χ ≠ 1` or `s` non-zero, the L-function vanishes precisely when the gamma factor vanishes.
* `riemannZeta_eq_zero_iff_of_re_nonpos`: for `re s ≤ 0`, `ζ s = 0` iff `s` is a
negative even integer.
The code here was initially LLM-generated, but then heavily golfed and reviewed by the author. |
t-number-theory |
97/4 |
Mathlib/NumberTheory/DirichletCharacter/Basic.lean,Mathlib/NumberTheory/DirichletCharacter/Bounds.lean,Mathlib/NumberTheory/LSeries/Dirichlet.lean,Mathlib/NumberTheory/LSeries/DirichletContinuation.lean,Mathlib/NumberTheory/LSeries/Nonvanishing.lean |
5 |
1 |
['github-actions'] |
loefflerd assignee:loefflerd |
7-77010 7 days ago |
25-3917 25 days ago |
25-3638 25 days |
0 |
| 43595 |
localecho author:localecho |
feat(NumberTheory/Transcendental/Liouville): irrational reals are LiouvilleWith for 1 < p ≤ 2 |
Closes the gap noted in this file's module doc — the reverse implication for 1 < p ≤ 2 was flagged 'not formalized yet' since 2021. Proved via Dirichlet approximation (Real.infinite_rat_abs_sub_lt_one_div_den_sq_of_irrational) plus a finite-fiber argument on denominators, rather than continued fractions directly.
----
Formalized with Claude's help, verified by a clean lake build.
Posted about this gap in #new-members first: https://leanprover.zulipchat.com/#narrow/channel/113489-new-members/topic/Intro.3A.20Brigham.20Hall.20.3B.20LiouvilleWith.20gap.20for.201.20.3C.20p.20.E2.89.A4.202/near/622672679 |
t-number-theory
new-contributor
LLM-generated
|
76/2 |
Mathlib/NumberTheory/Transcendental/Liouville/LiouvilleWith.lean |
1 |
4 |
['SnirBroshi', 'github-actions', 'metakunt'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
7-77009 7 days ago |
22-83816 22 days ago |
22-83537 22 days |
0 |
| 43690 |
b-mehta author:b-mehta |
refactor(NumberTheory/Bernoulli): define pIntegral via the p-adic valuation subring |
This is useful for #42304, since it will let us use subring lemmas there. In this case the diff is innocuous, but in Finset.sum cases the new version is cleaner to work with
---
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|
t-number-theory |
34/31 |
Mathlib/NumberTheory/Bernoulli.lean |
1 |
1 |
['github-actions'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
7-77008 7 days ago |
21-17167 21 days ago |
21-16888 21 days |
0 |
| 43742 |
loefflerd author:loefflerd |
feat(NumberTheory/ModularForms): arithmetic subgroup improvements |
Some modest additions to the theory of subgroups of `GL(2, ℝ)`, and other general linear groups:
- generalize `adjoinNeg` to arbitrary base rings & show it is functorial under suitable maps;
- show intersection of an arithmetic subgroup with `SL(2, ℝ)` is also arithmetic;
- show any two arithmetic subgroups are commensurable.
These are used in the proof of finite-dimensionality of modular forms spaces.
---
**AI use:** Based on code originally written by ChatGPT 5.6 Sol and 6.0 Astra, but carefully checked and cleaned up by me.
Spun off from PR #43644
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|
t-number-theory |
100/19 |
Mathlib/NumberTheory/ModularForms/ArithmeticSubgroups.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
7-77007 7 days ago |
9-51066 9 days ago |
20-1966 20 days |
1 |
| 43220 |
wwylele author:wwylele |
refactor(Combinatorics/Partition): eliminate T2Space requirement from generating function |
Previously, the key lemma in this file had the shape `HasProd (fun i ↦ 1 + ∑' j, f (i + 1) (j + 1) • X ^ ((i + 1) * (j + 1))) (genFun f)`, which has a nested infinite sum inside the infinite prod. As a result, all related lemma needed T2Space when it doesn't have to. The new formulation extract the inner sum into a power series definition `genFunFactor` that works in general topological space, eliminating `T2Space` for the `HasProd`/`HasSum` lemma.
The old formula is kept under the name `hasProd_genFun'`. This is still used in the downstream file `Glaisher.lean`. To reduce the code change size, the refactor in `Glaisher.lean` is deferred to a future PR
---
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|
t-combinatorics |
96/79 |
Mathlib/Combinatorics/Enumerative/Partition/Basic.lean,Mathlib/Combinatorics/Enumerative/Partition/GenFun.lean,Mathlib/Combinatorics/Enumerative/Partition/Glaisher.lean |
3 |
2 |
['copilot-pull-request-reviewer', 'github-actions'] |
nobody |
7-76117 7 days ago |
32-74536 32 days ago |
32-74257 32 days |
1 |
| 29558 |
Thmoas-Guan author:Thmoas-Guan |
feat(Algebra): definition of global dimension |
In this PR, we define global dimension supremum over `projectiveDimension`
---
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|
t-ring-theory |
116/0 |
Mathlib.lean,Mathlib/RingTheory/GlobalDimension.lean |
2 |
23 |
['Thmoas-Guan', 'erdOne', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'vlad902'] |
nobody |
7-76116 7 days ago |
29-49594 29 days ago |
57-75501 57 days |
8 |
| 42116 |
jyh author:jyh |
feat(Counterexamples): the Jacobian conjecture is false |
We verify that the Jacobian conjecture is false, using the 2026 counterexample of Levent Alpöge (crediting Akhil Mathew), which gives an explicit polynomial self-map of ℚ³ with Jacobian determinant −2 that is not injective. Hence it admits no polynomial (nor even set-theoretic) inverse.
The statement here is aligned with the formalization in google-deepmind/formal-conjectures PR [#4474](https://github.com/google-deepmind/formal-conjectures/pull/4474) (merged 2026-07-26). The correspondence is documented term-by-term in a comment block in this file. Both formalizations independently transcribe Alpöge's Theorem 3.1, which is why the polynomials coincide. The verification adapted here predates the FC disproof and was published independently at jyh/jacobian-verify. Here is the discussion on Zulip: https://leanprover.zulipchat.com/#narrow/channel/583339-AI-authored-projects/topic/Counterexample.20to.20the.20Jacobean.20conjecture
This contribution was developed in collaboration with Claude (Anthropic). The Lean code was written by Claude (Anthropic — Claude Code, with Opus and Fable models) working under my direction. I worked with Claude to align and verify the statement against FC. I reviewed every line and every design decision (the DecidableEq substitution, the CharZero retention, the transpose bridge, the ℚ-concretization) and I can defend each without assistance. |
LLM-generated
new-contributor
t-algebra
label:t-algebra$ |
310/0 |
Counterexamples.lean,Counterexamples/JacobianConjecture.lean |
2 |
7 |
['felixpernegger', 'github-actions', 'jyh', 'mathlib-merge-conflicts', 'ocfnash'] |
nobody |
7-71405 7 days ago |
7-72480 7 days ago |
12-13531 12 days |
0 |
| 42921 |
tb65536 author:tb65536 |
chore(RingTheory/RamificationInertia/Ramification): reorganize proofs |
This PR reorganizes the proofs in `RingTheory/RamificationInertia/Ramification.lean` so that `ramificationIdx_eq_normalizedFactors_count` is proved directly rather than relying on `IsDedekindDomain.ramificationIdx'_eq_normalizedFactors_count` which will soon be deprecated.
---
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|
t-ring-theory
t-algebra
label:t-algebra$ |
43/40 |
Mathlib/RingTheory/RamificationInertia/Ramification.lean |
1 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
7-48842 7 days ago |
7-49878 7 days ago |
43-35048 43 days |
0 |
| 43419 |
JovanGerb author:JovanGerb |
feat: tag `Metric.closedBall_subset_ball` with `@[gcongr strict]` |
This PR uses `@[gcongr strict]` on `Metric.closedBall_subset_ball` so that it can be used by `gcongr` and `grw`. This means that we will be able to rewrite with a strict inequality to turn a closed ball into an open ball or vice versa.
I golfed away some uses of `Metric.closedBall_subset_ball` using `grw`. To aid this, I also added some more `@[gcongr]` attributes.
---
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|
t-analysis |
50/45 |
Mathlib/Analysis/BoxIntegral/Basic.lean,Mathlib/Analysis/CStarAlgebra/SpecialFunctions/PosPart.lean,Mathlib/Analysis/Calculus/FDeriv/Basic.lean,Mathlib/Analysis/Complex/Harmonic/MeanValue.lean,Mathlib/Analysis/Complex/Harmonic/Poisson.lean,Mathlib/Analysis/Complex/Schwarz.lean,Mathlib/Analysis/Complex/TaylorSeries.lean,Mathlib/Analysis/Convex/Gauge.lean,Mathlib/Analysis/InnerProductSpace/Harmonic/Basic.lean,Mathlib/Analysis/InnerProductSpace/Harmonic/HarmonicContOnCl.lean,Mathlib/Analysis/ODE/PicardLindelof.lean,Mathlib/MeasureTheory/Covering/Besicovitch.lean,Mathlib/MeasureTheory/Group/AddCircle.lean,Mathlib/MeasureTheory/Measure/Doubling.lean,Mathlib/MeasureTheory/Measure/Lebesgue/EqHaar.lean,Mathlib/MeasureTheory/Measure/Prokhorov.lean,Mathlib/Topology/Algebra/Valued/LocallyCompact.lean,Mathlib/Topology/EMetricSpace/Lipschitz.lean,Mathlib/Topology/MetricSpace/Bounded.lean,Mathlib/Topology/MetricSpace/HausdorffDistance.lean,Mathlib/Topology/MetricSpace/ProperSpace/Lemmas.lean,Mathlib/Topology/MetricSpace/Pseudo/Defs.lean |
22 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
7-31148 7 days ago |
7-33193 7 days ago |
16-31293 16 days |
0 |
| 38815 |
dagurtomas author:dagurtomas |
feat(Tactic/CategoryTheory): extend `@[to_app]` to natural transformations |
This extends `@[to_app]` and `to_app_of%` to natural transformations and equations already in `Cat`, while preserving specialization of bicategorical equations. Natural-transformation lemmas retain their universe parameters, and generated component lemmas use Lean’s standard `defeq`/`backward_defeq` inference.
|
t-category-theory
LLM-generated
t-meta
|
387/80 |
Mathlib/Tactic/CategoryTheory/ToApp.lean,Mathlib/Util/AddRelatedDecl.lean,MathlibTest/AddRelatedDecl.lean,MathlibTest/CategoryTheory/ToApp.lean |
4 |
11 |
['Vierkantor', 'dagurtomas', 'github-actions'] |
nobody |
7-24442 7 days ago |
15-9258 15 days ago |
141-747 141 days |
0 |
| 39212 |
emlis42 author:emlis42 |
feat(Algebra/ContinuedFractions): add `partNumsStream'` and `partNumsStream'` |
This PR adds `partNumsStream'` and `partDensStream'`, which provide infinite stream representations for the sequences of partial numerators and denominators of a generalized continued fraction. |
t-algebra
new-contributor
label:t-algebra$ |
68/36 |
Mathlib/Algebra/ContinuedFractions/Basic.lean,Mathlib/Algebra/ContinuedFractions/ContinuantsRecurrence.lean,Mathlib/Algebra/ContinuedFractions/Determinant.lean,Mathlib/Algebra/ContinuedFractions/Euler.lean,Mathlib/Algebra/ContinuedFractions/Translations.lean |
5 |
7 |
['emlis42', 'eric-wieser', 'github-actions', 'grunweg', 'mathlib-merge-conflicts'] |
alreadydone assignee:alreadydone |
7-20891 7 days ago |
7-23035 7 days ago |
141-30000 141 days |
0 |
| 43099 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph): `IsSubwalk` is a partial order and more relation properties |
---
The instances for `Symm` and `Irrefl` let us use `symm`/`irrefl` and any other mathlib theorems that expect these properties as typeclass arguments.
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|
t-combinatorics |
31/4 |
Mathlib/Combinatorics/SimpleGraph/Basic.lean,Mathlib/Combinatorics/SimpleGraph/CompleteMultipartite.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/EdgeConnectivity.lean,Mathlib/Combinatorics/SimpleGraph/Subgraph.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Subwalks.lean |
6 |
1 |
['github-actions', 'vlad902'] |
nobody |
7-15575 7 days ago |
7-16613 7 days ago |
36-49108 36 days |
1 |
| 44136 |
SnirBroshi author:SnirBroshi |
chore: clean up a few `have : Std.Symm`s |
and some other relation properties
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|
t-order |
10/26 |
Mathlib/Algebra/Group/Basic.lean,Mathlib/Analysis/Normed/Module/FiniteDimension.lean,Mathlib/Data/Finset/NoncommProd.lean,Mathlib/Data/List/MinMax.lean,Mathlib/Data/Multiset/Bind.lean,Mathlib/LinearAlgebra/LinearIndependent/Lemmas.lean,Mathlib/NumberTheory/Divisors.lean,Mathlib/Order/Preorder/Chain.lean,Mathlib/Topology/NatEmbedding.lean |
9 |
1 |
['Parcly-Taxel', 'github-actions'] |
nobody |
7-15544 7 days ago |
8-22971 8 days ago |
8-23314 8 days |
0 |
| 43856 |
BoltonBailey author:BoltonBailey |
chore: rename `ENNReal.toReal_mono'` |
This PR addresses tech debt by renaming `ENNReal.toReal_mono'` to `ENNReal.toReal_mono_of_top_imp_top` (and similarly renaming the related `ENNReal.toReal_le_add'`). This change makes the naming scheme more similar to `ENNReal.le_of_top_imp_top_of_toNNReal_le`
I chose these names myself, but used LLM assistance to scan the library for instances of the lemmas.
---
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|
t-topology
tech debt
|
16/10 |
Mathlib/Basic/ENNReal/Operations.lean,Mathlib/Basic/ENNReal/Real.lean,Mathlib/Topology/MetricSpace/Bounded.lean,Mathlib/Topology/MetricSpace/HausdorffDistance.lean,Mathlib/Topology/MetricSpace/Thickening.lean,scripts/nolints_prime_decls.txt |
6 |
4 |
['BoltonBailey', 'github-actions', 'themathqueen'] |
nobody |
7-14679 7 days ago |
15-75399 15 days ago |
15-75120 15 days |
0 |
| 41347 |
mkaratarakis author:mkaratarakis |
feat(Tactic/Polynomial): poly_dvd_cert, certificate-based polynomial divisibility |
The `poly_dvd_cert` tactic: prove `p ∣ q` for `Polynomial K` polyrith-style - search the quotient uncertified in compiled `MetaM` (pseudo-division, so the certified identity is division-free), then verify with `ring` and cancel the leading-coefficient unit. Works over any field with concrete or symbolic coefficients, for monic divisors over any commutative ring, and for unit leading coefficients.
|
t-meta
LLM-generated
|
303/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/ComputablePolynomial/DvdCert.lean,MathlibTest/ComputablePolynomial/PolyDvdCert.lean |
4 |
8 |
['JovanGerb', 'eric-wieser', 'github-actions', 'mkaratarakis'] |
eric-wieser assignee:eric-wieser |
7-14477 7 days ago |
7-15383 7 days ago |
67-71769 67 days |
0 |
| 41380 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Girth): relate `girth` and `egirth` |
Also add `le_girth` to match `le_egirth`, which is the only `egirth` lemma that's missing a `girth` counterpart.
---
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|
t-combinatorics |
39/8 |
Mathlib/Combinatorics/SimpleGraph/Girth.lean |
1 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
7-13719 7 days ago |
7-14745 7 days ago |
86-45616 86 days |
1 |
| 43197 |
SnirBroshi author:SnirBroshi |
feat(Order/Basic): relation properties of complement relations |
The complement turns `Refl` into `Irrefl`, `Total` into `Asymm`, and `Trichotomous` into `Antisymm`.
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|
t-order |
60/14 |
Mathlib/Basic/Rel/Separated.lean,Mathlib/Order/Antichain.lean,Mathlib/Order/Basic.lean,Mathlib/Topology/MetricSpace/MetricSeparated.lean |
4 |
5 |
['SnirBroshi', 'chenson2018', 'github-actions'] |
nobody |
7-11621 7 days ago |
7-16162 7 days ago |
32-63442 32 days |
0 |
| 25981 |
Multramate author:Multramate |
feat(GroupTheory/GroupAction/Basic): define homomorphisms of fixed subgroups induced by homomorphisms of groups |
This PR continues the work from #10126.
Original PR: https://github.com/leanprover-community/mathlib4/pull/10126 |
t-group-theory
large-import
|
68/21 |
Mathlib/Algebra/Ring/Action/Submonoid.lean,Mathlib/GroupTheory/GroupAction/Defs.lean |
2 |
8 |
['copilot-pull-request-reviewer', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
7-10256 7 days ago |
15-33464 15 days ago |
20-25875 20 days |
0 |
| 43287 |
SnirBroshi author:SnirBroshi |
chore: avoid `Subrelation` where possible |
Following the trend of avoiding `Subrelation` (e.g. #41450) in favor of `_ ≤ _`, this replaces most of its uses in Mathlib.
---
The only ones remaining are `subrelation_iff_le` (`Subrelation r s ↔ r ≤ s`) / `Acc.anti` / `WellFounded.anti` which make sense, and `Subrelation.antisymm` in `Logic/Relation.lean` because it's too early in the import hierarchy.
We could replace it with a `local instance : Std.Antisymm (α := α → α → Prop) LE.le`, but that seems a bit weird.
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t-order |
33/33 |
Mathlib/Data/DFinsupp/WellFounded.lean,Mathlib/Data/Finset/Card.lean,Mathlib/Data/Finset/Dedup.lean,Mathlib/Data/Finset/Defs.lean,Mathlib/Data/Finsupp/Multiset.lean,Mathlib/Data/Fintype/Card.lean,Mathlib/Data/Multiset/Defs.lean,Mathlib/Order/Monotone/Basic.lean,Mathlib/Order/RelClasses.lean,Mathlib/Order/WellFounded.lean,Mathlib/Order/WellFoundedSet.lean,Mathlib/RingTheory/Artinian/Module.lean,Mathlib/RingTheory/UniqueFactorizationDomain/Basic.lean,Mathlib/RingTheory/Valuation/Archimedean.lean |
14 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
7-10043 7 days ago |
7-15194 7 days ago |
27-27961 27 days |
0 |
| 43972 |
SnirBroshi author:SnirBroshi |
chore(Data/Nat/Factorization/Defs): rename `prod_pow_factorization_eq_self` to `factorization_prod_pow_eq_self` |
#36792 added 2 rename TODOs, #36842 did the first rename, and now the deprecation expired so we can solve the 2nd rename TODO.
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t-data |
9/10 |
Mathlib/Data/Nat/Factorization/Basic.lean,Mathlib/Data/Nat/Factorization/Defs.lean,Mathlib/Data/Nat/Factorization/Root.lean |
3 |
1 |
['BoltonBailey', 'github-actions'] |
nobody |
7-4388 7 days ago |
12-17293 12 days ago |
12-17014 12 days |
0 |
| 44161 |
tb65536 author:tb65536 |
refactor(Analysis/Normed/Unbundled/SeminormFromConst): deprecate `seminormFromConst'` |
Currently `seminormFromConst'` is a plain function, and `seminormFromConst` is the same function as ring seminorm under additional assumptions. But it turns out that these additional assumptions are not necessary.
This PR removes these additional assumptions and deprecates `seminormFromConst'`.
This required tinkering with the API slightly, so I also took the liberty of cleaning up some of these pre-`grw` proofs.
---
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|
t-analysis |
128/142 |
Mathlib/Analysis/Normed/Unbundled/SeminormFromConst.lean,Mathlib/Analysis/Normed/Unbundled/SpectralNorm.lean |
2 |
1 |
['github-actions'] |
nobody |
7-560 7 days ago |
7-25271 7 days ago |
7-24993 7 days |
1 |
| 36323 |
SproutSeeds author:SproutSeeds |
feat(Inversion): discontinuity and center/global fderiv formulas |
Part of #5939
I removed the `[Nontrivial F]` requirement and the nonzero-radius assumption from both `fderiv` formulas. The center lemma now explicitly covers the zero-radius case and subsingleton spaces, is marked with `@[simp]`, and is reused in the global formula.
The discontinuity lemma still retains its original assumptions, and I updated the center lemma’s docstring to explain when zero is used as the fallback value at a point where the function is not differentiable.
Rebased the inversion follow up onto current master after #36313 merged, removing the duplicated `Basic.lean` history and leaving only the intended `Calculus.lean` changes.
The incremental scope above #36313 is limited to `Mathlib/Geometry/Euclidean/Inversion/Calculus.lean`.
## Verification
- `lake build Mathlib.Geometry.Euclidean.Inversion.Calculus`
- `lake exe lint-style Mathlib.Geometry.Euclidean.Inversion.Calculus`
- `git diff --check`
The revision has been pushed. The local build passes, along with all 11 regression examples and the lint checks, and the hosted CI is green as well.
I used Codex to help with the implementation and verification.
---
Happy to adjust naming, placement, or proof style based on maintainer preference.
|
t-euclidean-geometry
new-contributor
LLM-generated
maintainer-merge
|
27/0 |
Mathlib/Geometry/Euclidean/Inversion/Calculus.lean |
1 |
10 |
['SproutSeeds', 'github-actions', 'jsm28', 'mathlib-merge-conflicts'] |
nobody |
6-86205 6 days ago |
17-67402 17 days ago |
49-13979 49 days |
0 |
| 44102 |
wwylele author:wwylele |
feat(Geometry/Euclidean): dist with affineCombination on one side |
Supplementing existing theorems about `dist affineCombination affineCombination`, this one calculates `dist affineCombination Q` with `affineCombination` only on one side.
I intentionally did not follow the existing style in the file, and wrote `x ^ 2` instead of `x * x`. The latter results in unnecessary duplication and is not `ring`-normal form. The `x * x` style seems to appear a lot in old Euclidean geometry code. We should refactor them but that can be later.
---
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t-euclidean-geometry
maintainer-merge
|
30/0 |
Mathlib/Geometry/Euclidean/Basic.lean |
1 |
3 |
['github-actions', 'jsm28'] |
jsm28 assignee:jsm28 |
6-86060 6 days ago |
8-77177 8 days ago |
8-76898 8 days |
2 |
| 41920 |
junjihashimoto author:junjihashimoto |
feat(Analysis/CliffordAlgebra): the pseudoscalar of Cl(n,0) and its complex structure |
We study the Clifford algebra of Euclidean `n`-space (the quadratic form `x ↦ ⟪x, x⟫_ℝ` on `EuclideanSpace ℝ (Fin n)`). The pseudoscalar `ω = e₀ ⋯ eₙ₋₁` satisfies
* `ω * ω = (-1) ^ (n.choose 2)` (`pseudoscalar_mul_pseudoscalar'`),
* `γᵢ * ω = (-1) ^ (n - 1) • (ω * γᵢ)` (`γ_mul_pseudoscalar`),
so it is central for odd `n`, and a square root of `-1` iff `n ≡ 2, 3 [MOD 4]`. In that case left multiplication by `ω` is a complex structure: we provide a scoped `Module ℂ` instance (via `Complex.liftAux` and `Module.compHom`; no commutation is needed for a module structure, which covers the non-central case `n ≡ 2 [MOD 4]`), and for `n ≡ 3 [MOD 4]` an `Algebra ℂ` structure as a non-instance def.
The sign computations are done by moving a generator through a product of distinct generators (`γ_mul_prod`, `γ_mul_prod_mem`, `prod_sq`), with no case analysis on `n`.
In a follow-up PR this makes the Clifford–Fourier transform (Ebling–Scheuermann) an instance of the ordinary vector-valued Fourier transform, giving Plancherel's theorem and the inversion formula.
- [ ] depends on: (nothing)
|
t-analysis
new-contributor
|
303/0 |
Mathlib.lean,Mathlib/Analysis/CliffordAlgebra/Euclidean.lean |
2 |
5 |
['eric-wieser', 'github-actions', 'j-loreaux'] |
urkud assignee:urkud |
6-77019 6 days ago |
74-38070 74 days ago |
74-38291 74 days |
1 |
| 42693 |
justin-palumbo author:justin-palumbo |
feat(Topology/MetricSpace): a Gδ subset of a Polish space is Polish |
Adds `IsGδ.polishSpace`: a Gδ subset of a Polish space is Polish, which strengthens the existing IsOpen.polishSpace.
The proof follows the outline in Anush Tserunyan's descriptive set theory notes, https://www.math.mcgill.ca/atserunyan/Teaching_notes/dst_lectures.pdf where it is attributed to A. Bernshteyn. The "usual" approach (as in Kechris's Classical Descriptive Set Theory) constructs a complete compatible metric (the "Alexandrov metric"). The approach taken here is snappier to formalize - the idea is to give a closed embeddding from the G\delta set into another Polish space, and appeal to the fact closed subsets of Polish spaces are Polish. [Note the Alexandrov metric is recoverable from the embedding via the induced complete metrics on the product topology.]
---
Question: `IsOpen.polishSpace` could now be proven directly from`isGδ.polishSpace`, and `CompleteCopy` completely retired. That feels cleaner to me, given `CompleteCopy` has had no users since it was ported along with everything else in 2023: #3357. The main argument for keeping is that leveraging `CompleteCopy` is slightly more explicit in proving that open subsets are Polish. Happy to remove in a follow-up, in this PR, or not at all :)
LLM usage disclaimer: I wrote an original local version of this PR myself, and then used Claude Opus to double-check / simplify / help me pull out names of relevant theorems from mathlib. The primary non-trivial contribution from LLM was idea of leveraging isClosed_eq (ie proving closure of range by framing the range of the embedding as a countable intersection of pairs satisfying closed equations). I take full responsibility for the code here |
new-contributor
t-topology
|
117/2 |
Mathlib/Topology/MetricSpace/Polish.lean |
1 |
9 |
['felixpernegger', 'github-actions', 'justin-palumbo'] |
ADedecker assignee:ADedecker |
6-77015 6 days ago |
50-15838 50 days ago |
50-15559 50 days |
0 |
| 42955 |
mpacholski author:mpacholski |
feat(diffgeo): add Hom-bundle support and fix pullback base points in T% elaborator |
# Changes
## `Mathlib/Geometry/Manifold/Notation.lean`
* **Add support for pullback bundles:** Replaced the hardcoded bound variable `x` with the dynamically extracted argument `arg`, which allows for using elaborator `T%` with pullback bundles, where the base point lies in a different manifold, e.g. `v : Π (m : M), E₁ (b m)`, where `b : M → B`.
* **Add support for Hom-bundles:** The elaborator now supports sections of Hom-bundles (`ContinuousLinearMap` between two fiber bundles, e.g. `ϕ : ∀ x, (E₁ x →L[𝕜] E₂ x`). It also supports the case where the base point lies in a different manifold (e.g. `ϕ : ∀ x, (E₁ (b x) →L[𝕜] E₂ (b x))`)
* **Support nested `TangentSpace`:** Modified `findModelFiber?` to natively intercept `TangentSpace` applications and extract the model fiber at index 2. This prevents typeclass synthesis failures when `TangentSpace` is used inside a Hom-bundle.
## `MathlibTest/DifferentialGeometry/Notation/Basic.lean`
* **Added tests for all the new usecases** this includes pullback bundles, Hom-bundles, pullback Hom-bundles, and Hom-bundles where one of the fibers is a `TangentSpace`.
## `Mathlib/Geometry/Manifold/VectorBundle/Hom.lean`
* **Refactor `Hom.lean`:** Replaced verbose `TotalSpace.mk'` boilerplate in with the newly supported `T%` syntax (e.g. `MDiffAt[s] T% ϕ x` instead of `MDiffAt[s] (fun m ↦ TotalSpace.mk' (F₁ →L[𝕜] F₂) (E := fun (x : B) ↦ (E₁ x →L[𝕜] E₂ x)) (b m) (ϕ m)) x)`
# Use of AI
The help of AI was used in writing the code in `Mathlib/Geometry/Manifold/Notation.lean`. It was hence manually edited to simplify the code as much as possible. While the author is not yet an expert in metaprogramming in Lean, he is willing to learn and receive feedback, and put all the effort to understand the presented code. The code was carefully tested with different parts of it changed and removed to make sure that every line serves a purpose to provide the expected functionality.
---
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|
t-differential-geometry
new-contributor
LLM-generated
|
127/36 |
Mathlib/Geometry/Manifold/Notation.lean,Mathlib/Geometry/Manifold/VectorBundle/Hom.lean,MathlibTest/DifferentialGeometry/Notation/Basic.lean |
3 |
5 |
['github-actions', 'grunweg', 'mpacholski'] |
nobody |
6-76114 6 days ago |
42-25326 42 days ago |
42-25047 42 days |
3 |
| 42482 |
SauersML author:SauersML |
feat(Probability/Decision): add data processing inequalities for minimax risk |
This PR adds the minimax analogs of the three data processing inequalities for the Bayes risk in Mathlib.Probability.Decision.Risk.Basic.
It is similar to the compositions section in PR #29143, but with minimax.
-----------
Claude Fable 5 wrote the code and GPT 5.6 Sol reviewed the code. This was written for a different project, and I identified this as a candidate for upstreaming into Mathlib.
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|
t-measure-probability
LLM-generated
new-contributor
|
31/0 |
Mathlib/Probability/Decision/Risk/Basic.lean |
1 |
3 |
['SauersML', 'github-actions'] |
nobody |
6-76113 6 days ago |
56-73837 56 days ago |
56-73558 56 days |
0 |
| 43129 |
EtienneC30 author:EtienneC30 |
feat: define indistinguishability relation |
Introduce a predicate `Indistinguishable P X Y`, denoted `X ≡ᵐ[P] Y`, which states that `∀ᵐ ω ∂P, ∀ t, X t ω = Y t ω`. This proved quite nice to work with in the Brownian motion project, especially because it allows to use the `gcongr` tactic extensively.
---
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|
brownian
t-measure-probability
|
118/0 |
Mathlib.lean,Mathlib/Probability/Process/Indistinguishable.lean |
2 |
1 |
['github-actions'] |
nobody |
6-76112 6 days ago |
36-42656 36 days ago |
36-42377 36 days |
2 |
| 43904 |
t4v1 author:t4v1 |
feat(MeasureTheory/Constructions/HaarToSphere): polar coordinates for lintegral |
`Measure.measurePreserving_homeomorphUnitSphereProd` represents an additive Haar measure on a nontrivial finite-dimensional normed space `E` as the product of the sphere measure `μ.toSphere` and Lebesgue measure on `(0, ∞)` with density `r ^ (dim E - 1)`. The file exposes it only through the radial corollaries `integrable_fun_norm_addHaar`, `integrableOn_fun_norm_addHaar` and `integral_fun_norm_addHaar`, all for integrands of the form `f ‖x‖`.
This PR adds the general `lintegral` form, for an arbitrary measurable `f : E → ℝ≥0∞`:
* `lintegral_addHaar_eq_lintegral_toSphere_lintegral_Ioi`:
`∫⁻ x, f x ∂μ = ∫⁻ ω, ∫⁻ r in Ioi 0, ENNReal.ofReal (r ^ (dim E - 1)) * f (r • ω) ∂μ.toSphere`;
* `setLIntegral_ball_eq_lintegral_toSphere_lintegral_Ioo`: the same for `∫⁻ y in ball c R, f y ∂μ`, with the radial integral over `Ioo 0 R` and the rays emanating from `c`.
Both are needed for Morrey's inequality (follow-up PR), whose two analytic steps integrate non-radial functions in polar coordinates; they are stated here on their own because they are independent of it.
The proofs were developed with the help of an LLM (Claude Code) and then checked and edited by the author, who takes responsibility for every line.
|
t-measure-probability
new-contributor
LLM-generated
|
47/0 |
Mathlib/MeasureTheory/Constructions/HaarToSphere.lean |
1 |
3 |
['github-actions', 't4v1'] |
nobody |
6-58698 6 days ago |
14-1638 14 days ago |
14-1359 14 days |
1 |
| 43894 |
JX-Mo author:JX-Mo |
feat(RepresentationTheory): add Burnside's theorem for matrix algebras |
This PR adds Burnside's theorem: If `V` is simple module of a `k`-algebra `A` where `k` is an algebraically closed field `k`, then the algebra map `A → End_k(V)` is surjective. The proof is a combination of Schur's lemma and Jacobson density theorem, both of which are already in Mathlib. |
t-algebra label:t-algebra$ |
13/4 |
Mathlib/RepresentationTheory/AlgebraRepresentation/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
6-48072 6 days ago |
14-22834 14 days ago |
14-22653 14 days |
0 |
| 41696 |
vaca22 author:vaca22 |
feat(RingTheory): generalize relNorm_eq_pow_of_isMaximal to separable fraction field extensions |
This PR relaxes the hypothesis of Ideal.relNorm_eq_pow_of_isMaximal and its supporting Ring.NormalClosure instances.
Originally the theorem required the fraction ring of base Dedekind domain R to be a perfect field. Now we only require the fraction field extension to be separable.
The perfect field condition excludes function fields with imperfect constant fields, which is an important case we want to support. The core mathematical insight is that the normal closure of a separable field extension stays separable, so we can construct the Galois structure without a perfect base.
This change is fully backwards compatible: any existing code relying on the old perfect field assumption still compiles, since perfect fields automatically give separable extensions. Only two files are modified: NormalClosure.lean and RelNorm.lean, with small diff and no extra imports.
AI disclosure: I used AI tools to assist with initial code drafting and full CI validation. All mathematical reasoning and proof logic I worked through independently, and I can explain every adjustment in review. My original PR text relied too heavily on AI output, I’ve fully rewritten this description manually. |
new-contributor
t-ring-theory
LLM-generated
|
22/3 |
Mathlib/FieldTheory/Galois/Basic.lean,Mathlib/FieldTheory/SeparableClosure.lean,Mathlib/RingTheory/Ideal/Norm/RelNorm.lean,Mathlib/RingTheory/NormalClosure.lean |
4 |
25 |
['felixpernegger', 'github-actions', 'leanprover-radar', 'vaca22', 'xroblot'] |
nobody |
6-44206 6 days ago |
11-57419 11 days ago |
73-12271 73 days |
0 |
| 43261 |
YaelDillies author:YaelDillies |
feat(Geometry/Convex): cancellative convex spaces |
Define cancellative convex spaces as those space where non-trivial convex combinations are injective in any of their inputs. Show that modules, affine spaces, products of cancellative convex spaces, subspaces of cancellative convex spaces... are cancellative convex spaces.
Cancellative convex spaces are the correct setting for a large number of convexity concepts. Such a convex space embeds into some (canonical) affine space and therefore satisfies the geometrically intuitive properties of convexity. Non-cancellative convex spaces are pathological from the point of view of polytope theory.
[nLab](https://ncatlab.org/nlab/show/convex+space)
Generated by Claude Opus, reviewed and golfed by myself.
From the Polytopes in Berlin workshop, where participants were confused whether they could generalise their results from affine spaces to convex spaces.
Assisted-by: Claude Opus 5
---
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|
t-convex-geometry
LLM-generated
|
209/15 |
Mathlib/Algebra/Order/GroupWithZero/Basic.lean,Mathlib/Data/Finsupp/Basic.lean,Mathlib/Geometry/Convex/ConvexSpace/AffineSpace.lean,Mathlib/Geometry/Convex/ConvexSpace/Defs.lean,Mathlib/Geometry/Convex/ConvexSpace/Module.lean,Mathlib/Geometry/Convex/ConvexSpace/Prod.lean,Mathlib/Geometry/Convex/Set.lean |
7 |
10 |
['YaelDillies', 'b-mehta', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
6-40348 6 days ago |
6-43937 6 days ago |
28-6486 28 days |
2 |
| 41781 |
teng10 author:teng10 |
feat(Algebra/Representation): add abstract permutation action in TensorPower |
Hello, I'm a new contributor. I had an introduction here on [zulip](https://leanprover.zulipchat.com/#narrow/channel/113489-new-members/topic/Introduction.3A.20Schur.20Weyl.20Duality/with/607194314)
This PR is a first step in formalizing Shur Weyl duality, which I got feedback that it would be useful to mathlib. The final statement I had in mind has the form
/--
The centralizer of `{g^{⊗k} | g ∈ End(V)}`equals `Span{W_σ | σ ∈ S_k}`, for all dimensions `d` and tensor powers `k`.
---/
This PR tries to define permutation action on TensorPower; define permutation image space.
An initial version of the definition is more specific to the Euclidean space (for reference I list them below)
```
open scoped TensorProduct
variable {d : ℕ} {k : ℕ}
/-- The `k`-fold tensor power of `ℂ^d`, defined as `⨂[ℂ] (i : Fin k), (Fin d → ℂ)`. -/
abbrev PiTensorPower (d k : ℕ) : Type :=
PiTensorProduct ℂ (fun (_ : Fin k) => (Fin d → ℂ))
/-- The permutation operator `W_σ` on the tensor power `V^{⊗k}`.
Given `σ : Equiv.Perm (Fin k)`, this acts by permuting the tensor factors:
`W_σ (v₁ ⊗ ⋯ ⊗ vₖ) = v_{σ⁻¹(1)} ⊗ ⋯ ⊗ v_{σ⁻¹(k)}`. -/
def permAction (d : ℕ) {k : ℕ} (σ : Equiv.Perm (Fin k)) :
PiTensorPower d k ≃ₗ[ℂ] TensV d k :=
PiTensorProduct.reindex ℂ (fun (_ : Fin k) => (Fin d → ℂ)) σ
/-- The set of permutation operators in `End(V^{⊗k})`. -/
def permImage (d k : ℕ) : Set (Module.End ℂ (TensV d k)) :=
Set.range (fun σ : Equiv.Perm (Fin k) => (permAction d σ).toLinearMap)
```
LLM acknowledgement: I have used aristotle to write these definitions. However, I am very motivated to learn how to write proper code. I have looked more into `PiTensorProduct` and `TensorPower` module and came to the abstract version in the PR. I tried to ask aristotle about how it's defining things and whether it's suitable for mathlib.
And I would very much appreciate your thoughts on how appropriate these definitions are. Thanks for your time!
Yanting
---
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|
t-algebra
LLM-generated
new-contributor
will-close-soon
label:t-algebra$ |
22/0 |
Mathlib/LinearAlgebra/TensorPower/Basic.lean |
1 |
5 |
['github-actions', 'joelriou', 'teng10'] |
joelriou assignee:joelriou |
6-34729 6 days ago |
78-23026 78 days ago |
78-22763 78 days |
0 |
| 36225 |
pfaffelh author:pfaffelh |
feat(Topology/Compactness/CompactSystem): set system of countable intersections of sets in a compact system is again a compact system |
A compact system is a set system with the following property: If all finite intersections of a sequence in the set system is non-empty, the countable intersection is not empty.
Starting with a compact system, consider the countable intersections of sets in the copact system. Such sets again form a compact system.
---
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- [x] depends on: #36013
- [ ] depends on: #38245
[](https://gitpod.io/from-referrer/)
|
brownian |
17/0 |
Mathlib/Topology/Compactness/CompactSystem.lean |
1 |
5 |
['github-actions', 'mathlib-bors', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
6-33527 6 days ago |
6-35124 6 days ago |
7-51058 7 days |
0 |
| 42402 |
justus-springer author:justus-springer |
refactor(AlgebraicGeometry/Birational): phase out `Scheme.Over` for rational maps |
Split off from #40871
We refactor `PartialMap.IsOver` to not use `Scheme.Hom.IsOver`, which is being phased out. We still keep it as class with one field for now (as opposed to making it an abbrev for the morphism equation directly). This is because I think it's still useful to have instances for `PartialMap.restrict` and `PartialMap.toRationalMap`. However, some things which used to be instances (`isOver_comp` and `IsOver.compHom`) now need to be lemmas.
---
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|
t-algebraic-geometry
tech debt
|
100/86 |
Mathlib/AlgebraicGeometry/Birational/Composition.lean,Mathlib/AlgebraicGeometry/Birational/RationalMap.lean |
2 |
3 |
['Brian-Nugent', 'github-actions', 'justus-springer'] |
nobody |
6-31748 6 days ago |
59-30092 59 days ago |
59-29813 59 days |
1 |
| 36160 |
pfaffelh author:pfaffelh |
feat(Topology/Compactness/CompactSystem): closed and compact square cylinders form a compact system |
feat (Topology/Compactness/CompactSystem): Closed and compact square cylinders form a
compact system
A square cylinder is a set of the form `s.pi t` in a product space. A closed compact square cylinder has `IsClosed (t i)` and `IsCompact (t i)` for all `i ∈ s`. This set system is a compact system (as introduced in PR #36013).
Streamline the definition of square cylinders in MeasureTheory/Constructions/Cylinders on the way.
Co-authors: Rémy Degenne remy.degenne@inria.fr
---
- [ ] depends on: #36013
---
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|
brownian
t-topology
large-import
|
120/2 |
Mathlib/Data/Set/Lattice/Bounded.lean,Mathlib/Data/Set/Lattice/Image.lean,Mathlib/Data/Set/Prod.lean,Mathlib/MeasureTheory/Constructions/Cylinders.lean,Mathlib/Topology/Compactness/CompactSystem.lean |
5 |
5 |
['github-actions', 'mathlib-bors', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
6-27672 6 days ago |
6-32900 6 days ago |
6-35469 6 days |
0 |
| 43832 |
Raph-DG author:Raph-DG |
refactor(Topology): make locallyFinsupp.map an additive monoid homomorphism |
In this PR we slightly refactor locallyFinsupp.map by making it an additive monoid hom, and removing some superfluous assumptions from the type signature
---
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|
t-topology |
62/30 |
Mathlib/AlgebraicGeometry/AlgebraicCycle/Basic.lean,Mathlib/Topology/LocallyFinsupp/Pushforward.lean |
2 |
1 |
['github-actions'] |
nobody |
6-24874 6 days ago |
15-9017 15 days ago |
15-8789 15 days |
0 |
| 44142 |
lua-vr author:lua-vr |
chore: move `QuasiMeasurePreserving` to the namespace of `MeasurePreserving` |
Moves `QuasiMeasurePreserving` to the `MeasureTheory` namespace, so that it matches the namespace of `MeasurePreserving`.
---
https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/MeasurePreserving.2FQuasiMeasurePreserving.20namespaces/with/626345077
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|
t-measure-probability |
107/17 |
Mathlib/Dynamics/BirkhoffSum/QuasiMeasurePreserving.lean,Mathlib/Dynamics/Ergodic/Action/OfMinimal.lean,Mathlib/MeasureTheory/Function/AEEqFun.lean,Mathlib/MeasureTheory/Measure/QuasiMeasurePreserving.lean,Mathlib/NumberTheory/WellApproximable.lean,Mathlib/Probability/Kernel/CondDistrib.lean |
6 |
7 |
['fpvandoorn', 'github-actions', 'lua-vr'] |
nobody |
6-23662 6 days ago |
7-34287 7 days ago |
7-39436 7 days |
0 |
| 44193 |
tb65536 author:tb65536 |
chore(GroupTheory/Commutator/Basic): golf some proofs |
This PR golfs a few long proofs in `GroupTheory/Commutator/Basic.lean`.
---
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|
t-algebra
t-group-theory
label:t-algebra$ |
10/29 |
Mathlib/Algebra/Group/Hom/Defs.lean,Mathlib/GroupTheory/Commutator/Basic.lean,Mathlib/GroupTheory/GroupAction/Iwasawa.lean |
3 |
1 |
['github-actions'] |
nobody |
6-17926 6 days ago |
6-17976 6 days ago |
6-17698 6 days |
0 |
| 40841 |
TJHeeringa author:TJHeeringa |
chore(Topology/Algebra): rename .equivOfInverse to .ofContinuousLinearMap |
Renames `ContinuousLinearEquiv.equivOfInverse` and `ContinuousLinearEquiv.equivOfInverse'` to `ContinuousLinearEquiv.ofContinuousLinearMap` and `ContinuousLinearEquiv.ofContinuousLinearMap'`. It reorders the order of arguments to match that of `ofLinearMap`.
---
Addresses the ToDO `*ToDo*: Improve the naiming to make it match `LinearMap.ofLinear`.` for `ContinuousLinearEquiv.equivOfInverse`.
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|
t-topology
tech debt
|
80/25 |
Mathlib/Analysis/InnerProductSpace/TensorProduct.lean,Mathlib/Topology/Algebra/Module/ContinuousLinearMap/Invertible.lean,Mathlib/Topology/Algebra/Module/Equiv/Basic.lean |
3 |
83 |
['TJHeeringa', 'Whysoserioushah', 'b-mehta', 'github-actions', 'j-loreaux', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'themathqueen'] |
PatrickMassot assignee:PatrickMassot |
6-9068 6 days ago |
6-9068 6 days ago |
22-49410 22 days |
0 |
| 42142 |
philipp-svinger author:philipp-svinger |
feat(Analysis/ODE): peano existence theorem, Tonelli approximation 1 |
Add Tonelli approximation method for ODEs.
Implement the structure IsPeano similar to IsPicardLindelof. Construct a sequence of approximations using Tonelli technique.
First step towards Peano existence
Co-authored-by: Florian Grube <fgrube@math.uni-bielefeld.de>
Co-authored-by: Paul Niessner <pniessner@math.uni-bielefeld.de>
Co-authored-by: Julian Rolfes <jrolfes@math.uni-bielefeld.de>
Co-authored-by: Luke Schleef <lschleef@math.uni-bielefeld.de>
Co-authored-by: Philipp Svinger <psvinger@math.uni-bielefeld.de>
---
We want to add the proof of the Peano existence theorem for ODEs, using Tonelli approximations.
This will be a series of PRs working towards this goal. In this first PR, we
implement the structure IsPeano similar to IsPicardLindelof and construct a sequence of approximations using Tonelli technique. See our further PRs for more information, last: #42148
---
The statements, definitions and proofs were written without AI.
AI was used afterwards to help us to adapt our code to the style and naming conventions.
We also used it in the process of writing a documentation.
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|
t-analysis
new-contributor
|
207/0 |
Mathlib.lean,Mathlib/Analysis/ODE/Peano.lean |
2 |
24 |
['github-actions', 'mcdoll', 'philipp-svinger', 'sgouezel'] |
sgouezel assignee:sgouezel |
6-8923 6 days ago |
6-9050 6 days ago |
62-58208 62 days |
5 |
| 25982 |
Multramate author:Multramate |
feat(AlgebraicGeometry/EllipticCurve/Group): compute range of baseChange |
This PR continues the work from #10142.
Original PR: https://github.com/leanprover-community/mathlib4/pull/10142 |
t-algebraic-geometry
large-import
|
214/21 |
Mathlib.lean,Mathlib/Algebra/Group/Subgroup/Ker.lean,Mathlib/Algebra/Ring/Action/Submonoid.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Affine/Galois.lean,Mathlib/GroupTheory/GroupAction/Defs.lean |
5 |
4 |
['Multramate', 'github-actions', 'tb65536'] |
dagurtomas assignee:dagurtomas |
5-77019 5 days ago |
7-8793 7 days ago |
7-13306 7 days |
0 |
| 30109 |
scholzhannah author:scholzhannah |
feat: the subcomplexes of a (relative classical) CW complex form a completely distributive lattice |
In this PR we prove that the space of subcomplexes `Subcomplex C` of a (relative classical) CW complex `C` is a `CompletelyDistribLattice`.
---
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|
t-topology |
313/0 |
Mathlib/Topology/CWComplex/Classical/Subcomplex.lean |
1 |
32 |
['ADedecker', 'felixpernegger', 'github-actions', 'j-loreaux', 'mathlib-merge-conflicts', 'scholzhannah', 'themathqueen'] |
ocfnash assignee:ocfnash |
5-77017 5 days ago |
30-22847 30 days ago |
139-24851 139 days |
0 |
| 40922 |
Thmoas-Guan author:Thmoas-Guan |
feat(Algebra/Module): minimal generators of module over local ring |
In this PR, we proved for fg module over local ring, "two set of minimal generators can be transported by an invertible matrix", implemented as the commuting morphism between the source of the two surjection must be bijective.
(The last lemma is for transport between Koszul complex form two set of generators)
---
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|
t-algebra label:t-algebra$ |
93/0 |
Mathlib.lean,Mathlib/Algebra/Module/MinimalGenerators.lean |
2 |
1 |
['github-actions'] |
alreadydone assignee:alreadydone |
5-77014 5 days ago |
100-52762 100 days ago |
100-52483 100 days |
2 |
| 41308 |
sergantche author:sergantche |
feat: add `List.insertIdx_eraseIdx_getElem_perm` |
Adds `List.insertIdx_eraseIdx_getElem_perm`, showing that erasing an element by index and inserting it at any valid position gives a permutation of the original list.
This packages the existing lemmas `List.perm_insertIdx` and `List.getElem_cons_eraseIdx_perm` into a direct API lemma.
AI assistance was used in preparing this PR; I reviewed the statement and proof.
[](https://gitpod.io/from-referrer/) |
t-data
new-contributor
LLM-generated
|
5/0 |
Mathlib/Data/List/Perm/Basic.lean |
1 |
5 |
['github-actions', 'sergantche', 'vlad902'] |
joneugster assignee:joneugster |
5-77012 5 days ago |
81-491 81 days ago |
85-3607 85 days |
0 |
| 42880 |
plp127 author:plp127 |
chore(Data/EReal): don't expose `EReal.recENNReal` |
Unexpose `EReal.recENNReal` because it uses an if-then-else block on a classical decidability instance, which will not reduce. Also golf the proofs of the theorems `EReal.recENNReal_coe_ennreal` and `EReal.recENNReal_neg_coe_ennreal`.
---
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[](https://gitpod.io/from-referrer/)
|
t-data |
9/13 |
Mathlib/Data/EReal/Operations.lean |
1 |
2 |
['FrankieNC', 'github-actions'] |
joneugster assignee:joneugster |
5-77009 5 days ago |
45-10520 45 days ago |
45-10241 45 days |
0 |
| 43406 |
luigi-massacci author:luigi-massacci |
ci: add comment with rendered links for PRs with new crossref tags |
Add a new workflow that computes the list of added cross-reference tags, and renders it as a markdown table with the declaration name (as a clickable link to the code line) side by side with the tag (as a clickable link to the corresponding database entry). This is then be added as a comment to the PR.
The possibility to have something like this was discussed before both on Zulip and in the comments of PRs adding tags, as it is currently highly annoying for a reviewer to see exactly what is being referenced to in the database, this should make it significantly easier.
To compute the diffs, I am recycling the existing `export_crossref` infrastructure so that nothing has to be elaborated again, which seems very reasonable to me. I am only making one change to it, namely adding the resolved url to the json computed in `export_crossrefs.lean`. This won't break anything in the downstream `export-crossref` repo (that reads the entries it needs off a dict), but allows this workflow to not have to re-elaborate all the tags. Unfortunately some entry urls (e.g. for pi-base) cannot be extracted just from the database name and id, so it's either this or re-elaborating.
In order to use it, I'm also adding the currently generated and discarded `crossrefs.json`to the `import-graph`. Looking at the current state, I'm neither the first nor the second to piggy-back off of `import-graph`, and by now we should probably change the name in a follow up PR, if I don't misunderstand something.
Note that the new workflow file is mostly identical to the existing `declDiff`, the changes only start at line 153 (out of 214).
This is the corresponding PR to mathlib-ci for the script that computes the table: https://github.com/leanprover-community/mathlib-ci/pull/68
I've also made a [PR to the crossref-export](https://github.com/leanprover-community/crossref-exports/pulls) repo adjusting the documentation (README).
One thing is I made a documentation choice that can be discussed: I've removed all explicit references to the existing tags from the various script doc-strings and markdown docs, and replaced them with generic phrases. The reason is that every single one was out of date with what is currently in mathlib, and it seems an unnecessary maintenance burden to list the available databases in all those places, especially since none of the scripts actually care (they are not hard-coded).
AI use: I've never added anything to CI before so I had Claude help me a bit with the first draft.
---
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[](https://gitpod.io/from-referrer/)
|
CI |
238/15 |
.github/workflows/build_template.yml,.github/workflows/crossrefDiff.yml,.github/workflows/export_crossrefs.yml,docs/workflows.md,scripts/README.md,scripts/export_crossrefs.lean |
6 |
2 |
['github-actions', 'luigi-massacci'] |
nobody |
5-76117 5 days ago |
28-23411 28 days ago |
28-23132 28 days |
0 |
| 38009 |
CBirkbeck author:CBirkbeck |
feat(RingTheory/Valuation): define the valuation spectrum and its topology |
Define the valuation spectrum `Spv A` of a commutative ring and equip it with the topology generated by basic open sets, following Wedhorn's *Adic Spaces*. Also define the pullback (`comap`) of a `ValuativeRel` along a ring homomorphism. This is preparation for later defining adic spaces.
Note the code was generated by claude code, but I have cleaned up and pre-reviewed the work.
---
**Refreshed 3 Sep 2026:** merged current master; `ValuativeRel.comap` and `not_vle_zero_of_isUnit` generalised to semirings (the class is stated for semirings); names aligned with `PrimeSpectrum` (`continuous_comap`, `isEmbedding_comap_quotientMk`, `range_comap_quotientMk`, `localization_comap_range`); `mem_basicOpen_iff`/`isOpen_basicOpen` added and `@[simp]` on the round-trip lemmas. Ported and exercised in TauCeti (`TauCeti/AlgebraicGeometry/AdicSpace/ValuationSpectrum.lean`), which builds Wedhorn §7 on top of this API.
🤖 Generated with [Claude Code](https://claude.com/claude-code)
https://claude.ai/code/session_01A6f2mYh682Cc9g7DbpQZ2k
|
t-ring-theory
LLM-generated
|
421/0 |
Mathlib.lean,Mathlib/RingTheory/Valuation/ValuationSpectrum.lean,Mathlib/RingTheory/Valuation/ValuativeRel/Comap.lean |
3 |
78 |
['CBirkbeck', 'adamtopaz', 'chrisflav', 'dagurtomas', 'faenuccio', 'github-actions', 'jcommelin', 'jjdishere', 'riccardobrasca', 'sfingali'] |
nobody |
5-76112 5 days ago |
80-50443 80 days ago |
165-23875 165 days |
0 |
| 40582 |
dennj author:dennj |
feat(Analysis): the one-sided Laplace transform |
Introducing Laplace transform `ℒ(f)(s) = ∫ t in Ioi 0, exp (-s * t) • f t`
It is needed in physlib
I modelled the file following Mellin transform.
## Main definitions
* `LaplaceConvergent f s`: the Laplace integral is well-defined at `s`.
* `laplace f s`: the Laplace transform, a total function
* `HasLaplace f s m`: convergence together with the value `m`.
## Main results
* Linearity: `laplace_add`/`sub`/`const_smul`/`neg`/`zero`/`div_const`, at the `laplace`, `LaplaceConvergent`, and `HasLaplace` levels.
* `laplaceConvergent_iff_norm`, `norm_laplace_le_integral_norm`: reduction of convergence and norm bounds to the real exponential weight.
* `laplaceConvergent_of_isBigO_exp`: existence for functions of exponential order, on the appropriate right half-plane.
* `LaplaceConvergent.of_re_le`/`of_re_lt`: monotonicity of convergence in `s.re` (the half-plane structure).
* `laplace_cexp_smul`: the frequency-shift rule.
* `laplace_indicator_comp_sub`: the time-shift rule.
* `laplace_comp_mul_left`/`right`: behaviour under positive dilation.
* `hasLaplace_const`/`hasLaplace_one`/`hasLaplace_cexp`: basic transform values.
Human made PR |
t-measure-probability
new-contributor
|
653/0 |
Mathlib.lean,Mathlib/Analysis/LaplaceTransform.lean |
2 |
34 |
['AlyciaBHZ', 'EtienneC30', 'dennj', 'github-actions', 'mathlib-splicebot'] |
nobody |
5-76111 5 days ago |
56-25699 56 days ago |
108-70467 108 days |
0 |
| 41946 |
Hilbert-beinghappy author:Hilbert-beinghappy |
feat(SetTheory/Descriptive/Tree): add infinite branches and bodies |
Motivation
The existing `tree A` API models trees as prefix-closed sets of finite
lists, together with some basic node operations (`take`, `subAt`,
`pullSub`). It had no notion of an infinite branch through such a
tree. Infinite branches and their collection, the body of a tree, are
basic vocabulary in descriptive set theory (e.g. to state that a tree
is well-founded iff its body is empty, or to talk about closed subsets
of Baire space as bodies of trees), so this is a natural extension of
the file.
Changes
* `initialSegment x n` is the list of the first `n` values of an
infinite sequence `x : ℕ → A`, with lemmas relating its length and
its behaviour when passing from `n` to `n + 1`.
* `IsBranch T x` says that `x : ℕ → A` is an infinite branch of `T`:
every finite initial segment of `x` lies in `T`.
* `body T` is the set of infinite branches of `T`, defined via
`IsBranch`.
* The auxiliary lemmas `nil_mem_of_isBranch` (a branch forces the root
`[]` to lie in `T`) and `body_mono` (`body` is monotone in the tree,
tagged `@[gcongr]`) round out the basic API.
Scope
This PR intentionally does not add closedness of `body T` (which
would require `A` to carry the discrete topology, so that `body T` is
closed in the product topology on `ℕ → A`), well-foundedness of trees
(which needs well-founded relations and descending chains), or rank
(which needs ordinal-valued rank API). These are left for follow-up
PRs, since each pulls in its own dependencies and deserves separate
review.
Verification
* `lake build Mathlib.SetTheory.Descriptive.Tree`
* `lake exe lint-style Mathlib.SetTheory.Descriptive.Tree`
* `lake build Mathlib`
AI use
I used Codex to help select this item from the
backlog, adapt the definitions to the existing `tree A` API and to the
`Descriptive.Tree` namespace and current module system (e.g. adding
the `public import` for `Mathlib.Data.List.OfFn`), draft the
implementation, and run the three verification commands above. I
checked every definition and lemma statement against its intended
mathematical meaning, and went through each proof term individually,
unfolding `initialSegment`, `IsBranch`, and `body` to confirm the
`simp`/`simpa` calls actually close the resulting goals rather than
just trusting that they compiled. |
t-set-theory |
42/1 |
Mathlib/SetTheory/Descriptive/Tree.lean |
1 |
1 |
['github-actions'] |
nobody |
5-65455 5 days ago |
73-73269 73 days ago |
73-72990 73 days |
0 |
| 43964 |
benpigchu author:benpigchu |
feat(Geometry/Euclidean): theorems to prove line parallel from relation between oangles |
We have `EuclideanGeometry.two_zsmul_oangle_of_parallel` to derive relationship of oangles from parallel lines, but we do not have theorems to prove parallel of lines from relationship of oangles. This PR add theorems for that, and their iff version.
---
[](https://gitpod.io/from-referrer/) |
t-euclidean-geometry
new-contributor
maintainer-merge
|
110/0 |
Mathlib/Geometry/Euclidean/Angle/Oriented/Affine.lean,Mathlib/Geometry/Euclidean/Angle/Oriented/Basic.lean |
2 |
4 |
['github-actions', 'jsm28'] |
jsm28 assignee:jsm28 |
5-61226 5 days ago |
12-36496 12 days ago |
12-36217 12 days |
0 |
| 25841 |
mitchell-horner author:mitchell-horner |
feat(Combinatorics/SimpleGraph): prove the Kővári–Sós–Turán theorem |
Prove the Kővári–Sós–Turán theorem (an upper bound on the Zarankiewicz function)
---
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- [x] depends on: #27602
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[](https://gitpod.io/from-referrer/)
---
*This PR continues the work from #20240.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/20240* |
t-combinatorics |
248/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Bipartite.lean,Mathlib/Combinatorics/SimpleGraph/Extremal/KovariSosTuran.lean,docs/1000.yaml |
4 |
42 |
['SnirBroshi', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'mitchell-horner'] |
nobody |
5-58424 5 days ago |
5-59294 5 days ago |
111-67250 111 days |
0 |
| 44221 |
SamuelSchlesinger author:SamuelSchlesinger |
feat(Combinatorics/SetFamily): erdős–rado sunflower lemma |
Define `Set.IsSunflower`, a family of elements of a meet-semilattice whose distinct members pairwise meet in a fixed kernel, with a basic API around it, and then prove the Erdős–Rado sunflower lemma: a family of more than `(p - 1) ^ r * r !` finsets of size at most `r` contains a sunflower with `p` petals, together with the uniform special case.
I use this downstream to show circuit lower bounds on the clique language, but it is used in various areas of complexity and combinatorics.
This PR was assisted by Claude Opus 5.5. In particular, I extracted this from another formalization project that was also assisted by AI.
---
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|
t-combinatorics
new-contributor
LLM-generated
|
215/0 |
Mathlib.lean,Mathlib/Combinatorics/SetFamily/Sunflower.lean,docs/references.bib |
3 |
4 |
['SamuelSchlesinger', 'github-actions'] |
nobody |
5-57576 5 days ago |
5-59857 5 days ago |
5-59578 5 days |
0 |
| 44222 |
SamuelSchlesinger author:SamuelSchlesinger |
feat(Analysis/SpecialFunctions/Stirling): asymptotics of the central binomial coefficient |
Upstreaming `n.centralBinom ~ 4 ^ n / √(π * n)` and its `4 ^ n`-normalised corollaries,
needed for a Razborov–Smolensky `AC⁰[p]` lower bound in a circuit-complexity formalization,
together with the Catalan asymptotic `catalan n ~ 4 ^ n / (√π * n ^ (3 / 2))` as a first
application in Mathlib.
Drafted with Claude Code from my existing proof of the same statement, then revised by me
against Mathlib conventions.
---
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|
t-analysis
LLM-generated
new-contributor
|
85/1 |
Mathlib.lean,Mathlib/Analysis/SpecialFunctions/Stirling.lean,Mathlib/Combinatorics/Enumerative/Catalan/Asymptotics.lean |
3 |
4 |
['SamuelSchlesinger', 'github-actions'] |
nobody |
5-56788 5 days ago |
5-57709 5 days ago |
5-57430 5 days |
0 |
| 38369 |
quantumsnow author:quantumsnow |
feat(AlgebraicTopology): Eilenberg Steenrod axioms |
This introduces the Eilenberg-Steenrod axioms for a homology theory.
---
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- Nat.bit1_add_bit1
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-->
- [x] depends on: #36621
- [x] depends on: #39236
- [x] depends on: #44044
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebraic-topology
large-import
increases-technical-debt
|
256/14 |
Mathlib/AlgebraicTopology/EilenbergSteenrod.lean,Mathlib/CategoryTheory/Comma/Arrow.lean,Mathlib/Topology/Category/TopPair.lean |
3 |
99 |
['Multramate', 'chrisflav', 'dagurtomas', 'github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'quantumsnow'] |
robin-carlier assignee:robin-carlier |
5-47484 5 days ago |
6-29982 6 days ago |
72-13727 72 days |
0 |
| 43273 |
Raph-DG author:Raph-DG |
feat(AlgebraicGeometry): scheme level order of vanishing api |
In this PR, we develop some API for the order of vanishing of rational functions on schemes. We also change the file structure of order of vanishing in algebraic geometry to more closely mirror that of the ring theoretic order of vanishing results.
---
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file-removed
t-algebraic-geometry
|
258/14 |
Mathlib.lean,Mathlib/AlgebraicGeometry/AffineScheme.lean,Mathlib/AlgebraicGeometry/OrderOfVanishing/Basic.lean,Mathlib/AlgebraicGeometry/OrderOfVanishing/DVR.lean,Mathlib/AlgebraicGeometry/Restrict.lean |
5 |
3 |
['Brian-Nugent', 'Raph-DG', 'github-actions'] |
alreadydone assignee:alreadydone |
5-46264 5 days ago |
5-47501 5 days ago |
29-78059 29 days |
0 |
| 44183 |
kim-em author:kim-em |
feat(Topology/Homotopy): tube neighbourhoods of paths |
This PR adds tube neighbourhoods of paths: given a partition `0 = t₀ ≤ ⋯ ≤ tₙ = 1` (`unitInterval.Partition`) and open sets `Uᵢ` covering the segments of a path, with path-connected open sets `Vⱼ` around the vertices (`Path.Tube`), the paths lying in the tube (`Path.IsInTube`) form an open set in the compact-open topology (`Path.Tube.isOpen_setOf_isInTube`). When each `Uᵢ` is path-homotopy trivial (`IsPathHomotopyTrivial`), any two paths in a common tube are homotopic (`Path.IsInTube.homotopic`), and every path lies in such a tube in a locally path-connected space whenever its points have path-homotopy trivial neighbourhoods (`Path.exists_isInTube`).
Along the way it adds supporting path API: Lebesgue-number partitions of paths (`Path.exists_partition_in_cover`, `Path.exists_partition_with_property`), `Path.initialSegmentFamily`, cast and subpath lemmas, the quotient topology on `Path.Homotopic.Quotient`, and `Path.Homotopic.trans_left_of_nullhomotopic` / `trans_right_of_nullhomotopic`.
This is the first of four PRs constructing the universal cover (split from https://github.com/leanprover-community/mathlib4/pull/38292). It is independent of the second.
🤖 Prepared with Claude Code
|
t-topology
LLM-generated
|
420/1 |
Mathlib.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/Basic.lean,Mathlib/Topology/Connected/PathConnected.lean,Mathlib/Topology/Homotopy/Path.lean,Mathlib/Topology/Homotopy/TubeNeighborhood.lean,Mathlib/Topology/Path.lean,Mathlib/Topology/Subpath.lean,Mathlib/Topology/UnitInterval.lean |
8 |
1 |
['github-actions'] |
nobody |
5-44737 5 days ago |
6-37484 6 days ago |
6-37205 6 days |
2 |
| 41299 |
JovanGerb author:JovanGerb |
chore(DomAct): clean up `DomMulAct`/`DomAddAct` instances |
This PR cleans up the `DomMulAct`/`DomAddAct` instances using `inferInstanceAs`.
Instead having the `MyClass Mᵐᵒᵖ` instance imply the `MyClass Mᵈᵐᵃ` instance, we use `MyClass M` as the hypothesis. For this to work, some instances need to be moved from the group file to the ring file, so that the required instances are available.
Additionally, `@[to_additive]` is now only used in the group instances and not the ring instances.
---
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|
t-group-theory
large-import
|
21/16 |
Mathlib/Algebra/Module/Hom.lean,Mathlib/Algebra/Module/LinearMap/Basic.lean,Mathlib/Algebra/Ring/Opposite.lean,Mathlib/GroupTheory/GroupAction/DomAct/Basic.lean |
4 |
2 |
['github-actions', 'riccardobrasca'] |
nobody |
5-43226 5 days ago |
91-22436 91 days ago |
91-22432 91 days |
0 |
| 43264 |
riccardobrasca author:riccardobrasca |
feat: add Algebra.Polynomial.Laurent.Roots |
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|
t-algebra label:t-algebra$ |
52/0 |
Mathlib.lean,Mathlib/Algebra/Polynomial/Laurent/Roots.lean |
2 |
1 |
['github-actions'] |
nobody |
5-31733 5 days ago |
31-16087 31 days ago |
31-15808 31 days |
0 |
| 43565 |
Parcly-Taxel author:Parcly-Taxel |
refactor(Archive/FriendshipGraphs): golf everything |
Also remove the file's `set_option`s and `@[expose]`. Like #43434, no deprecations are added since this is a leaf file in Archive. |
tech debt |
103/293 |
Archive/Wiedijk100Theorems/FriendshipGraphs.lean |
1 |
8 |
['Parcly-Taxel', 'SnirBroshi', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
5-31400 5 days ago |
5-32575 5 days ago |
23-68050 23 days |
0 |
| 40910 |
riccardobrasca author:riccardobrasca |
feat: add comap_map_eq_of_unramified and related declarations |
From flt-regular.
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|
t-ring-theory |
170/0 |
Mathlib/RingTheory/DedekindDomain/Different.lean |
1 |
1 |
['github-actions'] |
mariainesdff assignee:mariainesdff |
5-30953 5 days ago |
5-31968 5 days ago |
101-1880 101 days |
0 |
| 44184 |
kim-em author:kim-em |
feat(AlgebraicTopology): semilocally simply connected spaces |
This PR defines semilocally simply connected spaces: `SemilocallySimplyConnectedAt x` says `x` has a neighbourhood `U` in which every loop at `x` is nullhomotopic in the ambient space, with `SemilocallySimplyConnectedOn` and the class `SemilocallySimplyConnectedSpace`. It proves the equivalent formulations via the fundamental group (`semilocallySimplyConnectedAt_iff_range_eq_bot`: `π₁(U, x) → π₁(X, x)` is trivial) and via paths (`semilocallySimplyConnectedAt_iff_paths`), and that simply connected spaces are semilocally simply connected.
Supporting additions: `Path.codRestrict`, groupoid lemmas relating homotopic paths to nullhomotopic loops (`Path.Homotopic.paths_homotopic_iff_loops_nullhomotopic` and friends), and `FundamentalGroup.map_fromPath` and `FundamentalGroup.map_range_eq_bot_iff`.
This is the second of four PRs constructing the universal cover (split from https://github.com/leanprover-community/mathlib4/pull/38292). It is independent of the first.
🤖 Prepared with Claude Code
|
t-topology
LLM-generated
|
270/0 |
Mathlib.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/Basic.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/FundamentalGroup.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/SemilocallySimplyConnected.lean,Mathlib/Topology/Path.lean |
5 |
1 |
['github-actions'] |
nobody |
5-30818 5 days ago |
6-37479 6 days ago |
6-37200 6 days |
2 |
| 42827 |
wwylele author:wwylele |
chore(RingTheory/Pochhammer): fix the type of ascPochhammer_eval_succ |
The existing two theorems have the following signature
```lean4
theorem ascPochhammer_nat_eval_succ (r n : ℕ) :
n * Polynomial.eval (n + 1) (ascPochhammer ℕ r) = (n + r) * Polynomial.eval n (ascPochhammer ℕ r)
theorem ascPochhammer_eval_succ (S : Type*) [Semiring S] (r n : ℕ) :
↑n * Polynomial.eval (↑n + 1) (ascPochhammer S r) = (↑n + ↑r) * Polynomial.eval (↑n) (ascPochhammer S r)
```
However what's more useful in practice is the following
```lean4
theorem ascPochhammer_eval_succ {S : Type*} [Semiring S] (r : ℕ) (n : S) :
n * Polynomial.eval (n + 1) (ascPochhammer S r) = Polynomial.eval n (ascPochhammer S r) * (n + ↑r)
```
which this PR proves. Note that the multiplication order is changed so it doesn't require commutativity on S.
The old `ascPochhammer_nat_eval_succ` is now a specialization of the new `ascPochhammer_eval_succ` with `S = ℕ` & mul_comm, so it is redundant, thus deprecated.
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|
t-ring-theory |
12/13 |
Mathlib/RingTheory/Polynomial/Bernstein.lean,Mathlib/RingTheory/Polynomial/Pochhammer.lean |
2 |
4 |
['Ruben-VandeVelde', 'github-actions', 'mathlib-merge-conflicts', 'wwylele'] |
nobody |
5-30210 5 days ago |
5-31660 5 days ago |
46-23353 46 days |
0 |
| 42993 |
D-Thomine author:D-Thomine |
feat(UniformIntegrable): definitions of `UnifTail` and `UnifLpTail` |
This PR mainly **adds two definitions** to `MeasureTheory.Function.UniformIntegrable`:
* `UnifTail f μ`: the measure of the set `{ x | M ≤ ‖f i x‖ₑ }` vanishes when `M` goes to infinity, uniformly in `i`.
* `UnifLpTail f p μ`: the `ELpNorm` carried by the set `{ x | M ≤ ‖f i x‖ₑ }` vanishes when `M` goes to infinity, uniformly in `i`.
`UnifLpTail` gives a name to a statement which appears repeatedly in the file:
`∀ ε > 0, ∃ C : ℝ≥0, ∀ i, eLpNorm ({ x | C ≤ ‖f i x‖₊ }.indicator (f i)) p μ ≤ ε`
`UnifTail` is exactly the difference between `UnifLpTail` and `UnifIntegrable`, so having this notion at hand will be extremely helpful to manage the passage from one statement to the other.
In addition, `UniformIntegrable` **becomes a structure**, and the related lemmas such as `UniformIntegrable.unifIntegrable`, which became redundant, are removed.
The boundedness in `UniformIntegrable` is expressed more directly, without coercions. This is the point which required to fix some downstream files (and to deprecate `Submartingale.eLpNorm_stoppedAbove_le'`, whose sole purpose was to manage a coercion which does not exist anymore). Note that the use of `< ∞` instead of `≠ ∞` in hypotheses is a voluntary one: this helps passing arguments from one lemma to another, and these hypotheses are usually proven by working with inequalities anyway.
I have also **added some basic lemmas** about `UnifTail` and `UnifLpTail`. I have slightly changed the structure of the file, so that the basic lemmas for all four objects defined in the file are in the same section.
On a more minor side, I have **removed an hypothesis** in `UnifSpace.add`, and **renamed** `UnifIntegrable.mk_iff` to `unifIntegrable_mk_iff` since the statement did not benefit from the dot notation.
These new notions do not see much use for the remainder of `MeasureTheory.Function.UniformIntegrable` for now. This depends on other PRs, and will be done later so as keep each PR at a manageable level.
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|
t-measure-probability |
387/245 |
Mathlib/MeasureTheory/Function/LpSeminorm/Basic.lean,Mathlib/MeasureTheory/Function/UniformIntegrable.lean,Mathlib/Probability/Kernel/Disintegration/Density.lean,Mathlib/Probability/Martingale/BorelCantelli.lean,Mathlib/Probability/Martingale/Convergence.lean,Mathlib/Probability/Process/Filtration.lean |
6 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
EtienneC30 assignee:EtienneC30 |
5-26144 5 days ago |
5-27810 5 days ago |
36-50088 36 days |
0 |
| 43612 |
YaelDillies author:YaelDillies |
feat(Geometry/Convex): `positivity` extension for `StdSimplex.weights` |
Also add some Qq helper to Qq-match a type with `Finsupp`.
From the Polyhedra in Berlin workshop where people would have found it useful for `positivity` to close some goals.
Generated by Claude Opus in a few prompts worth of review.
Assisted-by: Claude Opus 5
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|
t-convex-geometry
t-meta
|
124/6 |
Mathlib/Data/Finsupp/Defs.lean,Mathlib/Geometry/Convex/ConvexSpace/Defs.lean,Mathlib/Util/Qq.lean,MathlibTest/Tactic/Positivity.lean |
4 |
27 |
['Vierkantor', 'YaelDillies', 'eric-wieser', 'github-actions', 'grunweg', 'mathlib-merge-conflicts'] |
grunweg assignee:grunweg |
5-22611 5 days ago |
5-26567 5 days ago |
17-23530 17 days |
1 |
| 44214 |
ZRTMRH author:ZRTMRH |
feat(Analysis/SpecialFunctions): taylor series bounds for sin and cos |
Adds `Mathlib/Analysis/SpecialFunctions/Trigonometric/SeriesBounds.lean` with three groups of results:
1. Remainder bounds on the unit disc at every order: `Complex.sin_series_bound`, `Complex.cos_series_bound` and their real forms. Ported from #29355, taken over with the author's agreement. This PR supersedes #29355, which can be closed when this lands.
2. `Real.sum_lt_sin_of_pos`, `Real.sin_lt_sum_of_pos`, `Real.sum_lt_cos_of_pos`, and `Real.cos_lt_sum_of_pos`: `sin x` and `cos x` lie between consecutive partial sums of their Taylor series. Yury posted on Zulip in October 2025 with a request that someone open a PR for it ([Upper and Lower Bounds of Cosine](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Upper.20and.20Lower.20Bounds.20of.20Cosine/near/546287708)), it had not been opened.
4. Six low-order corollaries, as completion to `one_sub_sq_div_two_lt_cos` and `sin_gt_sub_cube` which Mathlib already has: `cos_lt/le_one_sub_sq_div_two_add_pow_four`, `sin_lt/le_sub_cube_add_pow_five`, and `sub_cube_add_pow_five_lt/le_sin` for negative arguments.
The 6 low-order corollaries and the docstrings were written with AI assistance (Claude). The code has been reviewed by the author.
Co-authored-by: Geoffrey Irving <irving@naml.us>
Co-authored-by: Yury G. Kudryashov <urkud@urkud.name>
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|
LLM-generated
new-contributor
|
299/0 |
Mathlib.lean,Mathlib/Algebra/BigOperators/Ring/Finset.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/SeriesBounds.lean |
3 |
52 |
['SnirBroshi', 'ZRTMRH', 'github-actions', 'wwylele'] |
nobody |
5-15754 5 days ago |
5-18114 5 days ago |
5-32548 5 days |
0 |
| 43759 |
joelriou author:joelriou |
chore(CategoryTheory): `End` and `Aut` as `1`-field structures |
The design looks cleaner with `1`-field structures, which also makes defining instances on `Aut/End` less ackward (e.g. for #43539).
---
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|
tech debt
t-category-theory
maintainer-merge
|
680/628 |
Mathlib/Algebra/Category/FGModuleCat/Basic.lean,Mathlib/Algebra/Category/Grp/Basic.lean,Mathlib/Algebra/Category/ModuleCat/Basic.lean,Mathlib/Algebra/Category/ModuleCat/Colimits.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf.lean,Mathlib/Algebra/Category/ModuleCat/Semi.lean,Mathlib/Algebra/Category/ModuleCat/Tannaka.lean,Mathlib/Algebra/Category/ModuleCat/Topology/Basic.lean,Mathlib/AlgebraicGeometry/Modules/Sheaf.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/FundamentalGroup.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/SimplyConnected.lean,Mathlib/CategoryTheory/Abelian/GrothendieckCategory/ModuleEmbedding/GabrielPopescu.lean,Mathlib/CategoryTheory/Abelian/Yoneda.lean,Mathlib/CategoryTheory/Action.lean,Mathlib/CategoryTheory/Action/Basic.lean,Mathlib/CategoryTheory/Action/Concrete.lean,Mathlib/CategoryTheory/Action/Continuous.lean,Mathlib/CategoryTheory/Action/Monoidal.lean,Mathlib/CategoryTheory/Center/Basic.lean,Mathlib/CategoryTheory/Center/Linear.lean,Mathlib/CategoryTheory/Center/Localization.lean,Mathlib/CategoryTheory/Center/Preadditive.lean,Mathlib/CategoryTheory/Conj.lean,Mathlib/CategoryTheory/Endomorphism.lean,Mathlib/CategoryTheory/FintypeCat.lean,Mathlib/CategoryTheory/Galois/Action.lean,Mathlib/CategoryTheory/Galois/Basic.lean,Mathlib/CategoryTheory/Galois/ContAction.lean,Mathlib/CategoryTheory/Galois/Decomposition.lean,Mathlib/CategoryTheory/Galois/Equivalence.lean,Mathlib/CategoryTheory/Galois/EssSurj.lean,Mathlib/CategoryTheory/Galois/Examples.lean,Mathlib/CategoryTheory/Galois/GaloisObjects.lean,Mathlib/CategoryTheory/Galois/IsFundamentalgroup.lean,Mathlib/CategoryTheory/Galois/Prorepresentability.lean,Mathlib/CategoryTheory/Galois/Topology.lean,Mathlib/CategoryTheory/Linear/Basic.lean,Mathlib/CategoryTheory/Preadditive/Basic.lean,Mathlib/CategoryTheory/Preadditive/HomOrthogonal.lean,Mathlib/CategoryTheory/Preadditive/Opposite.lean,Mathlib/CategoryTheory/Preadditive/Schur.lean,Mathlib/CategoryTheory/Shift/Twist.lean,Mathlib/CategoryTheory/Simple.lean,Mathlib/CategoryTheory/SingleObj.lean,Mathlib/Control/Fold.lean,Mathlib/GroupTheory/FreeGroup/NielsenSchreier.lean,Mathlib/RepresentationTheory/FDRep.lean,Mathlib/RepresentationTheory/Homological/FiniteCyclic.lean,Mathlib/RepresentationTheory/Homological/GroupCohomology/FiniteCyclic.lean,Mathlib/RepresentationTheory/Homological/GroupCohomology/Hilbert90.lean,Mathlib/RepresentationTheory/Homological/TateCohomology/Basic.lean,Mathlib/RepresentationTheory/Rep/Basic.lean,Mathlib/RepresentationTheory/Tannaka.lean,Mathlib/Topology/Homotopy/HomotopyGroup.lean,Mathlib/Topology/Homotopy/Lifting.lean |
55 |
13 |
['alreadydone', 'github-actions', 'joelriou', 'mathlib-merge-conflicts', 'robin-carlier'] |
nobody |
5-15354 5 days ago |
5-16715 5 days ago |
15-68081 15 days |
0 |
| 41337 |
gotrevor author:gotrevor |
doc(1000-yaml): add Goodstein's theorem and the Kirby–Paris theorem |
Claims two listed-but-unclaimed entries in the 1000+ theorems scoreboard by adding external-formalization pointers (no mathlib declaration; same pattern as Löb's theorem [`Q204884`](https://github.com/leanprover-community/mathlib4/blob/master/docs/1000.yaml#L201), the flypitch continuum-hypothesis independence [`Q208416`](https://github.com/leanprover-community/mathlib4/blob/master/docs/1000.yaml#L216), and Arrow's impossibility theorem [`Q33481`](https://github.com/leanprover-community/mathlib4/blob/master/docs/1000.yaml#L30)).
## Entries
| Wikidata | Theorem | Formalization |
|----------|---------|---------------|
| `Q1149185` | **Goodstein's theorem** — every Goodstein sequence terminates | [`lean-gallery`](https://github.com/gotrevor/lean-gallery/blob/main/LeanGallery/Logic/Goodstein/Statement.lean) (ordinal-descent proof) |
| `Q1149185X` | **Kirby–Paris theorem** — PA does not prove that every Goodstein sequence terminates | [`goodstein-independence`](https://github.com/gotrevor/goodstein-independence/blob/main/src/GoodsteinPA/Statement.lean) |
## Notes
- **`Q1149185X` (Kirby–Paris, 1982)** is built on the [`FormalizedFormalLogic/Foundation`](https://github.com/FormalizedFormalLogic/Foundation) library (the same library that backs the existing Löb's-theorem entry [`Q204884`](https://github.com/leanprover-community/mathlib4/blob/master/docs/1000.yaml#L201)), via the Wainer growth-rate route (`Goodstein` outgrows every PA-provably-total function). The headline `peano_not_proves_goodstein` is sorry-free and `#print axioms`-clean — it rests on exactly `[propext, Classical.choice, Quot.sound]`.
- **`Q1149185`** is Goodstein's theorem proper (the termination statement, provable in ZFC / Lean); mathlib does not currently contain it.
- Both formalizations are by Trevor Morris, developed with AI assistance: Claude Code (Fable 5, Opus), Codex, and Harmonic's Aristotle.
🤖 Generated with [Claude Code](https://claude.com/claude-code) |
new-contributor
LLM-generated
|
6/0 |
docs/1000.yaml |
1 |
6 |
['felixpernegger', 'github-actions', 'gotrevor', 'wwylele'] |
nobody |
5-2413 5 days ago |
89-76589 89 days ago |
89-76310 89 days |
0 |
| 41988 |
vlad902 author:vlad902 |
feat(FreeGroup): characterize commutative/cyclic free groups |
Characterize cyclic/commutative free groups as being those on ≤ 1 generators. I generalize and move around some instances along the way to avoid new imports.
---
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|
t-group-theory |
56/23 |
Mathlib/Algebra/Group/Basic.lean,Mathlib/Algebra/Group/Defs.lean,Mathlib/Basic/Unique.lean,Mathlib/FieldTheory/Galois/Basic.lean,Mathlib/GroupTheory/FreeGroup/Basic.lean,Mathlib/GroupTheory/FreeGroup/Reduce.lean,Mathlib/GroupTheory/SpecificGroups/Cyclic/Basic.lean |
7 |
16 |
['github-actions', 'mathlib-merge-conflicts', 'tb65536', 'vlad902'] |
nobody |
4-83337 4 days ago |
5-10131 5 days ago |
54-54226 54 days |
1 |
| 38489 |
Jun2M author:Jun2M |
feat(Topology/Algebra/InfiniteSum): Generalize ENNReal lemmas |
This PR generalizes many theorems in Topology/Algebra/InfiniteSum/ENNReal.lean from `ENNREal` to any type that satisfies a list of order-related instances, mostly
`[CommMonoid α] [CompleteLattice α] [CanonicallyOrderedMul α] [TopologicalSpace α] [SupConvergenceClass α]`
Deprecation of the original `ENNReal` lemmas are done in the next PR: #38193.
Related Zulip thread: [#Is there code for X? > Summing `ENat`s without topology](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Summing.20.60ENat.60s.20without.20topology/with/588756615)
---
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|
t-topology |
239/5 |
Mathlib/MeasureTheory/Measure/CompleteLattice.lean,Mathlib/MeasureTheory/OuterMeasure/OfFunction.lean,Mathlib/Probability/ProbabilityMassFunction/Monad.lean,Mathlib/Topology/Algebra/InfiniteSum/Basic.lean,Mathlib/Topology/Algebra/InfiniteSum/ENNReal.lean,Mathlib/Topology/Algebra/InfiniteSum/Order.lean |
6 |
12 |
['Jun2M', 'SnirBroshi', 'github-actions', 'j-loreaux', 'mathlib-merge-conflicts', 'wwylele'] |
urkud assignee:urkud |
4-77019 4 days ago |
12-80028 12 days ago |
130-44234 130 days |
1 |
| 38716 |
YaelDillies author:YaelDillies |
feat(Algebra/Order): `NNRat.cast_sub` |
From AddCombi
---
- [x] depends on: #41850
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|
t-algebra
large-import
label:t-algebra$ |
13/2 |
Mathlib/Algebra/Order/Field/Rat.lean,Mathlib/Data/NNRat/Defs.lean |
2 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
riccardobrasca assignee:riccardobrasca |
4-77018 4 days ago |
69-47128 69 days ago |
69-53134 69 days |
2 |
| 39387 |
marcelolynch author:marcelolynch |
feat(Tactic/Linter): add superfluousExpose linter |
Dual of `privateModule`: lints against `@[expose] public section`s where no declaration benefits from exposure, and suggests that you remove the `@[expose]` modifier. Downstream code typechecks the same after the removal.
A section-level `@[expose]` exposes exactly the bodies of the `def` declarations of the section. The linter skips generated declarations (`isAutoDecl`) and counts a constant as one that benefits from exposure when all four conditions hold:
- It is a `def` and its body is exposed (`Environment.hasExposedBody`). This rules out theorems, `opaque` and `partial def`s, private declarations, propositional instances, `@[no_expose]` and `meta` defs, and the parser descriptors of `notation` and `syntax`.
- The declaring command is not an `abbrev`. Lean exposes the body of an `abbrev` by its keyword, not by its reducibility, so a `@[reducible] def` does not qualify.
- It is not an instance (`isInstanceCore`) that an `instance`, `deriving instance`, `inductive`, `class inductive`, or `structure` command declared. An `@[instance] def` therefore keeps the rules of a `def`.
- It is not a structure projection.
Lean exposes the bodies in the last three cases in every public section, with or without the modifier. The linter reads the command kind through `set_option … in` and `open … in` wrappers; a `mutual` block or a macro gets no exemption. Every other exposed `def` counts as one that benefits, so the linter stays silent when in doubt and a reported section is safe to change.
The linter is a stateful linter (leanprover/lean4#14357). It tracks the regions where the scope is public and carries `expose`, and it classifies the constants of each command while the scopes of that command are active. Each expose section gets its own verdict, `scoped` and `local` instances classify correctly, and the warning points at the section header.
The known limitations are false negatives only, and the module docstring lists them. The main case is a hand-written meta-code def, such as a `def` of type `Simproc`, which counts as an ordinary def.
Includes test files covering positive and negative cases, one file per case. The first cleanup sweep, #39388, applied an earlier version of these suggestions to 136 files.
Relevant Zulip thread: https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Removing.20unnecessary.20.60.40.5Bexpose.5D.60/with/595180230
|
t-linter
LLM-generated
|
906/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Linter/SuperfluousExpose.lean,MathlibTest/Linter/SuperfluousExpose.lean,MathlibTest/Linter/SuperfluousExpose/Negative_DerivingDecidableEq.lean,MathlibTest/Linter/SuperfluousExpose/Negative_ExposeOnNonPublicSection.lean,MathlibTest/Linter/SuperfluousExpose/Negative_InstanceAttrDef.lean,MathlibTest/Linter/SuperfluousExpose/Negative_IrreducibleDef.lean,MathlibTest/Linter/SuperfluousExpose/Negative_NoExposeSection.lean,MathlibTest/Linter/SuperfluousExpose/Negative_PlainDef.lean,MathlibTest/Linter/SuperfluousExpose/Negative_ReducibleDef.lean,MathlibTest/Linter/SuperfluousExpose/Negative_ToAdditive.lean,MathlibTest/Linter/SuperfluousExpose/Negative_UnsafeDef.lean,MathlibTest/Linter/SuperfluousExpose/Positive_AbbrevOnly.lean,MathlibTest/Linter/SuperfluousExpose/Positive_ClassOnly.lean,MathlibTest/Linter/SuperfluousExpose/Positive_FileEndClose.lean,MathlibTest/Linter/SuperfluousExpose/Positive_Inductive.lean,MathlibTest/Linter/SuperfluousExpose/Positive_MultiSection.lean,MathlibTest/Linter/SuperfluousExpose/Positive_NestedExposeSection.lean,MathlibTest/Linter/SuperfluousExpose/Positive_NoExposeDef.lean,MathlibTest/Linter/SuperfluousExpose/Positive_Notation.lean,MathlibTest/Linter/SuperfluousExpose/Positive_PartialDef.lean,MathlibTest/Linter/SuperfluousExpose/Positive_ScopedLocalInstance.lean,MathlibTest/Linter/SuperfluousExpose/Positive_Structure.lean,MathlibTest/Linter/SuperfluousExpose/Positive_TheoremOnly.lean |
25 |
6 |
['eric-wieser', 'github-actions', 'joneugster', 'marcelolynch', 'ocfnash'] |
JovanGerb assignee:JovanGerb |
4-77015 4 days ago |
17-23809 17 days ago |
50-28412 50 days |
0 |
| 39420 |
mbkybky author:mbkybky |
feat(RingTheory/LocalProperties): `Module.Invertible` is a local property |
Let `M` be a finite `R`-module. We show that `M` is invertible if `Mₘ` is invertible for any maximal ideal `m` of `R`.
- [x] depends on: #39109
- [x] depends on: #39412
---
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|
t-ring-theory |
101/0 |
Mathlib.lean,Mathlib/RingTheory/LocalProperties/Invertible.lean |
2 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
mattrobball assignee:mattrobball |
4-77013 4 days ago |
74-65586 74 days ago |
83-38514 83 days |
1 |
| 40266 |
WangJiabai author:WangJiabai |
feat(RingTheory/MvPolynomial): define generic determinantal ideals |
This PR adds a foundational API for determinantal ideals of the generic matrix.
It defines `Matrix.MinorIndex`, the corresponding minors of the existing generic
matrix `Matrix.mvPolynomialX`, the finite set of all `t × t` generic minors, and
the ideal generated by these minors in `MvPolynomial (Fin m × Fin n) R`.
It also proves basic membership, evaluation, coefficient-map/base-change, and
finite-generation lemmas.
This PR intentionally does not include the Sturmfels/KRS/straightening/Groebner
part of the development.
---
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the commit message (that is, directly before the `---`) using the following format:
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-->
Additional context:
This is extracted and refactored from a standalone project on determinantal
ideals and the Gröbner-basis theorem for generic determinantal ideals:
https://github.com/WangJiabai/Determinantal-Ideals-Formalization
The current PR is intentionally limited to the small foundational API for
generic minors and generic determinantal ideals.
AI use:
ChatGPT was used for planning/refactoring discussion, and Codex was used to
draft some proof scripts. I reviewed the statements and proofs and am
responsible for the submitted code.
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
LLM-generated
|
180/0 |
Mathlib.lean,Mathlib/RingTheory/MvPolynomial/DeterminantalIdeal.lean |
2 |
17 |
['WangJiabai', 'github-actions', 'tb65536'] |
jjdishere assignee:jjdishere |
4-77010 4 days ago |
27-45371 27 days ago |
118-1219 118 days |
0 |
| 41258 |
ungatz author:ungatz |
feat(Analysis/Fourier/FiniteAbelian): add the Donoho-Stark support uncertainty principle |
This adds the Donoho–Stark support uncertainty inequality for the unitary Fourier transform on a finite abelian group, plus the supporting Fourier-inversion machinery indexed by the Pontryagin dual `AddChar G ℂ`.
The headline:
> **Theorem `AddChar.donoho_stark`.** For nonzero `f : G → ℂ`,
> `Fintype.card G ≤ (support f).ncard * (support (fourierTransform f)).ncard`,
> where `fourierTransform f ψ = |G|^(-1/2) * ∑ g, conj (ψ g) * f g` ranges over `ψ : AddChar G ℂ`.
The proof is the elementary (L¹, L∞) duality argument that any harmonic-analysis textbook gives for the classical `ZMod N` case; no Parseval or Cauchy–Schwarz is needed. The finite-abelian generalisation is folklore (stated in Tao–Vu *Additive Combinatorics* and Terras *Fourier Analysis on Finite Groups*); I did not find it formalised in Mathlib or any other major library.
### Why this belongs in Mathlib
Mathlib already has the supporting infrastructure — character theory of finite abelian groups (`Mathlib.Algebra.Group.AddChar`), character orthogonality and Pontryagin duality (`Mathlib.Analysis.Fourier.FiniteAbelian.{Orthogonality, PontryaginDuality}`). The Donoho–Stark inequality is the canonical application of all three, and its absence is a real gap: I needed it for a downstream operator-uncertainty result (a diagonal-operator `rank * Pauli-support` bound on the finite Heisenberg group reduces to it) and ended up proving it from scratch. Beyond that use, it is a standard tool in compressed sensing on finite abelian groups, additive combinatorics, and discrete signal recovery (the 1989 paper has ~3500 citations).
### What's in this PR
A single new file, `Mathlib/Analysis/Fourier/FiniteAbelian/DonohoStark.lean`:
- `AddChar.fourierTransform` — the unitary (symmetric) Fourier transform indexed by `AddChar G ℂ`;
- `AddChar.fourier_inversion` — the inversion formula;
- `AddChar.norm_fourierTransform_le`, `AddChar.norm_le_sum_norm_fourierTransform` — the two `L∞ ≤ |G|^(-1/2) · L¹` triangle bounds;
- `AddChar.donoho_stark` — the support uncertainty inequality.
Design choices I expect questions on, and my defaults:
- **`ℂ` rather than `RCLike`**: matches the cited literature and the cleanest home of `AddChar.norm_apply`; happy to generalise if preferred.
- **`Set.ncard` for support sizes**: avoids needing `DecidableEq ℂ` in the statement.
- **A new sibling file** of `Orthogonality.lean` / `PontryaginDuality.lean` rather than a subsection: orthogonality is the tool, Donoho–Stark is the application; can inline if preferred.
Deliberately *not* included: the diagonal-operator `rank * Pauli-support ≥ 2^n` corollary from my workspace — the Pauli-word machinery has no natural home in `Analysis/Fourier` yet; happy to factor it into a follow-up if there is interest.
### AI usage disclosure
Per the [AI contribution policy](https://leanprover-community.github.io/contribute/index.html): the original Lean proof was generated by **Aristotle** (Harmonic AI's automated proof system) from a dispatch containing the statement and the (L¹, L∞) proof strategy, as part of my PhD research workspace. I audited the delivery line by line against Donoho–Stark 1989 (the dispatch also produced a kernel-checked counterexample to a tempting wrong variant — replacing rank by the count of distinct eigenvalues — which the 2×2 identity falsifies). The file here is my adaptation to Mathlib conventions and to current master (module system, `Set.ncard` statement, robust cast handling in the inversion proof), with final tactic-level repairs done with the assistance of Claude (Anthropic). I understand and can defend every line without AI assistance. Please add the `LLM-generated` label (I cannot set labels myself).
### Test plan
- [x] `lake build Mathlib.Analysis.Fourier.FiniteAbelian.DonohoStark` clean (0 errors, 0 warnings).
- [x] `#print axioms` on all five declarations: `[propext, Classical.choice, Quot.sound]`.
- [x] `lake exe lint-style` clean; all lines ≤ 100 chars.
- [x] `Mathlib.lean` updated in alphabetical position.
- [x] Imports minimal (`PontryaginDuality` + `RCLike.Basic` only).
### Reference
Donoho, D. L. and Stark, P. B. (1989). *Uncertainty principles and signal recovery.* SIAM Journal on Applied Mathematics, **49**(3): 906–931. https://doi.org/10.1137/0149053
---
|
t-analysis
new-contributor
LLM-generated
|
283/0 |
Mathlib.lean,Mathlib/Analysis/Fourier/FiniteAbelian/DonohoStark.lean |
2 |
4 |
['YaelDillies', 'copilot-pull-request-reviewer', 'felixpernegger', 'github-actions'] |
fpvandoorn assignee:fpvandoorn |
4-77009 4 days ago |
91-82696 91 days ago |
91-82417 91 days |
0 |
| 41537 |
Mathias-Stout author:Mathias-Stout |
feat(RingTheory/TwoSidedIdeal/Lattice): add lemmas on two-sided ideals |
We add three lemmas on two-sided ideals.
These are analogues of existing lemmas of `Submodule` with the same names.
This prepares a follow-up PR proving that quaternions are central simple.
Co-authored-by: Justus Springer [justusspringer@gmx.de](mailto:justusspringer@gmx.de)
---
<!-- Your PR title will become the first line of the commit message.
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git commit --author="Author Name <author@email.com>" --allow-empty -m "add Author Name as coauthor"
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-->
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
|
13/0 |
Mathlib/RingTheory/TwoSidedIdeal/Lattice.lean |
1 |
5 |
['Whysoserioushah', 'github-actions', 'kbuzzard'] |
mattrobball assignee:mattrobball |
4-77007 4 days ago |
84-19312 84 days ago |
84-26810 84 days |
1 |
| 43229 |
yui9696 author:yui9696 |
feat(Probability/Moments): probability generating function |
Define the probability generating function `pgf X μ t = μ[t ^ X]` of an `ℕ`-valued random variable, mirroring the `mgf` API in `Mathlib/Probability/Moments/Basic.lean`.
API:
- values at `0` and `1`, nonnegativity, monotonicity and boundedness on `[0, 1]`;
- `integrable_pow_pgf`: the defining integrand is integrable on `[-1, 1]` for any finite measure;
- congruence lemmas (`pgf_congr`, `pgf_id_map`, `pgf_congr_identDistrib`);
- `pgf_eq_tsum`: the power-series form `pgf X μ t = ∑' n, μ.real (X ⁻¹' {n}) * t ^ n`;
- `pgf_exp_eq_mgf`: the bridge to the moment-generating function;
- `IndepFun.pgf_add` / `iIndepFun.pgf_sum`: the product formula for sums of independent variables.
Main result: `map_eq_map_of_pgf_eq` — **the generating function determines the law**. The point masses are read off as the coefficients of a power series of radius at least 1 (via `FormalMultilinearSeries.ofScalars`), and the uniqueness of power-series coefficients recovers them from the function.
Everything is stated for a general (finite) measure where possible, with `IsProbabilityMeasure` only where it is genuinely needed.
🤖 Generated with [Claude Code](https://claude.com/claude-code) |
t-measure-probability
LLM-generated
new-contributor
|
234/0 |
Mathlib.lean,Mathlib/Probability/Moments/PGF.lean |
2 |
3 |
['github-actions', 'yui9696'] |
RemyDegenne assignee:RemyDegenne |
4-77004 4 days ago |
32-27559 32 days ago |
32-27280 32 days |
0 |
| 37456 |
Robertboy18 author:Robertboy18 |
feat(LinearAlgebra/AffineSpace): add parallel form of Desargues's theorem |
This PR adds an affine parallel form of the Desargues theorem, following the related Rocq/Coq affine-geometry statement.
**Main changes**
- New file `Mathlib/LinearAlgebra/AffineSpace/Desargues.lean` with `parallel_third_side_of_perspective`.
- Add the corresponding `public import` to `Mathlib.lean`.
**Proof idea**
The proof compares side vectors using `exists_eq_smul_of_parallel` for the two given pairs of parallel sides. The shared comparison along `SA` forces the same scalar, which gives parallelism of the third pair of sides.
Tests: `lake build Mathlib.LinearAlgebra.AffineSpace.Desargues`
AI disclosure: GPT-5.2 Pro was used for assistance with web search/background details about the theorem and for finding useful existing Mathlib lemmas. The theorem statement and Lean formalization were written and checked by hand.
---
[](https://gitpod.io/from-referrer/) |
t-algebra
new-contributor
LLM-generated
label:t-algebra$ |
133/0 |
Mathlib.lean,Mathlib/LinearAlgebra/AffineSpace/Desargues.lean |
2 |
22 |
['Robertboy18', 'SnirBroshi', 'copilot-pull-request-reviewer', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts', 'wwylele'] |
nobody |
4-76117 4 days ago |
26-20769 26 days ago |
51-42406 51 days |
0 |
| 44232 |
SnirBroshi author:SnirBroshi |
feat(SimpleGraph/Coloring/Constructions): `turanGraph n r` is `r`-colorable |
---
This is only for nonzero `r` since `turanGraph n 0` [is](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Combinatorics/SimpleGraph/Extremal/Turan.html#SimpleGraph.turanGraph_zero) the `n`-clique, which is only 0-colorable for `n = 0`.
<!-- Your PR title will become the first line of the commit message.
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-->
|
t-combinatorics |
8/0 |
Mathlib/Combinatorics/SimpleGraph/Coloring/Constructions.lean |
1 |
1 |
['github-actions'] |
nobody |
4-72249 4 days ago |
5-18142 5 days ago |
5-17863 5 days |
0 |
| 44204 |
urkud author:urkud |
feat(Calculus/FDeriv): chain rules for continuous linear maps |
Add special cases of the chain rule for composition with a continuous
linear map on the left (`ContinuousLinearMap.comp_hasFDerivAtFilter` and
friends) and on the right (`HasFDerivAtFilter.comp_continuousLinearMap`
and friends).
Also add `ContinuousLinearEquiv.comp_hasFDerivAtFilter_iff` and use it to
golf the `comp_has*FDeriv*_iff` lemmas, and use the new lemmas in a few
places.
Extracted by Claude from a larger refactor written by Yury.
Co-authored-by: Claude Opus 5 <noreply@anthropic.com>
---
Preparation for generalizing `Mathlib/Analysis/Calculus/FDeriv/` to
topological vector spaces: with these lemmas available, the lemmas about
`Prod.fst`/`Prod.snd`/`Prod.map` and about `c • f` can avoid the general
chain rule and thus avoid its typeclass assumptions.
The new lemmas are deliberately stated for `NormedAddCommGroup` +
`NormedSpace`, even though their proofs do not need it, so that this PR
does not change which instances Lean generates in downstream files. They
are generalized together with the rest of the chain rule in a later PR,
so that the effect of that change can be benchmarked on its own.
|
t-analysis |
156/22 |
Mathlib/Analysis/Calculus/FDeriv/Analytic.lean,Mathlib/Analysis/Calculus/FDeriv/ContinuousAlternatingMap.lean,Mathlib/Analysis/Calculus/FDeriv/Equiv.lean,Mathlib/Analysis/Calculus/FDeriv/Linear.lean,Mathlib/Analysis/Calculus/Implicit.lean |
5 |
3 |
['github-actions', 'leanprover-radar', 'urkud'] |
nobody |
4-68823 4 days ago |
5-3904 5 days ago |
5-4024 5 days |
0 |
| 44206 |
urkud author:urkud |
feat(Asymptotics/TVS): add `IsLittleOTVS.sum` and `IsBigOTVS.sum` |
Add versions of `IsLittleO.sum`/`IsBigO.sum` for the TVS-valued
asymptotics, and move the shared typeclass assumptions of the lemmas
about sums of two functions to a `variable` line.
Extracted by Claude from a larger refactor written by Yury.
Co-authored-by: Claude Opus 5 <noreply@anthropic.com>
---
Preparation for generalizing `Mathlib/Analysis/Calculus/FDeriv/` to
topological vector spaces: `IsLittleOTVS.sum` is used to prove
`HasFDerivAtFilter.sum` in that generality.
|
t-analysis |
21/12 |
Mathlib/Analysis/Asymptotics/TVS.lean |
1 |
1 |
['github-actions'] |
nobody |
4-68820 4 days ago |
4-80629 4 days ago |
4-80350 4 days |
0 |
| 44208 |
urkud author:urkud |
chore(Calculus/FDeriv/Prod): reorganize the file |
Prepare `Calculus/FDeriv/Prod` for generalizing to topological vector spaces.
- replace the anonymous sections by `section Prod` (covering the lemmas
about `E × F`) and rename the inner `section Prod` to `section ProdMk`;
- move the variables about `f`, `f'`, `s`, `x`, `L` to the sections that
use them, so that `section Pi` and `section PiFin` are independent of
the rest of the file;
- move `hasFDerivAt_prodMk_left`/`hasFDerivAt_prodMk_right` out of
`section ProdMk`, `HasFDerivAtFilter.fst` before `HasStrictFDerivAt.fst`,
and `fderiv.snd` after `fderivWithin_snd`.
This order reduced `diff` to the TVS version to actual typeclass assumptions changes.
No lemma is added, removed, or restated.
Extracted by Claude from a larger refactor written by Yury.
Co-authored-by: Claude Opus 5 <noreply@anthropic.com>
---
|
t-analysis |
37/41 |
Mathlib/Analysis/Calculus/FDeriv/Prod.lean |
1 |
1 |
['github-actions'] |
nobody |
4-66737 4 days ago |
4-67985 4 days ago |
4-67706 4 days |
0 |
| 42676 |
mcdoll author:mcdoll |
feat(Analysis): bigO in terms of seminorms |
Characterize `IsBigOTVS` and `IsLittleOTVS` in terms of seminorms.
---
I also need variants where the codomain of the RHS is a normed space, but since this PR is already >200lines I will do that in a subsequent PR.
Original PR by Anatole is here: #34472
<!-- Your PR title will become the first line of the commit message.
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- Vector.* -> List.Vector.*
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- Nat.bit1_add_bit1
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- [ ] depends on: #xyz [optional extra text]
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- [x] depends on: #42846
- [x] depends on: #42848
- [x] depends on: #42849
[](https://gitpod.io/from-referrer/)
|
t-analysis |
240/1 |
Mathlib.lean,Mathlib/Algebra/Order/Hom/GroupNorm.lean,Mathlib/Analysis/Asymptotics/Basic.lean,Mathlib/Analysis/LocallyConvex/Asymptotics.lean,Mathlib/Analysis/LocallyConvex/WithSeminorms.lean |
5 |
5 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mcdoll'] |
nobody |
4-55364 4 days ago |
4-57537 4 days ago |
5-16305 5 days |
1 |
| 44217 |
mitchell-horner author:mitchell-horner |
chore(Combinatorics/SimpleGraph): update notation such that `I` is contained `H` is contained in `G` |
Updates the notation in Copy.lean to enforce `I` is contained in `H` is contained in `G`.
---
<!-- Your PR title will become the first line of the commit message.
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Moves:
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- Nat.bit1_add_bit1
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I noticed that (1) the variable order of containment was different across this file and (2) the docstrings were incorrect.
This pull request corrects the docstrings and updates the variable order to:
```
(I : SimpleGraph X) ⊑ (H : SimpleGraph W) ⊑ (G : SimpleGraph V)
```
This fixes (2) but I figure the fix for (1) is opinion. I prefer this order (reverse alphabetical for both `G`, `H`, `I` and `V`, `W`, `X`). |
t-combinatorics |
93/93 |
Mathlib/Combinatorics/SimpleGraph/Copy.lean |
1 |
3 |
['Parcly-Taxel', 'SnirBroshi', 'github-actions', 'mitchell-horner'] |
nobody |
4-55193 4 days ago |
5-73110 5 days ago |
5-72831 5 days |
0 |
| 44241 |
thomaskwaring author:thomaskwaring |
feat(Basic/Rel): relation composition preserves unions |
Add the binary counterpart to `SetRel.comp_iUnion` and friends. |
t-data |
6/0 |
Mathlib/Basic/Rel.lean |
1 |
1 |
['github-actions'] |
nobody |
4-41725 4 days ago |
4-43969 4 days ago |
4-43690 4 days |
0 |
| 42802 |
Zeta-Wu author:Zeta-Wu |
feat(CategoryTheory): relate equivalences and skeletons |
This PR supersedes the previously closed PR #42789.
It adds several related characterizations of equivalences of categories, together with an API showing that an equivalence induces an isomorphism between the corresponding skeletons.
<!-- Your PR title will become the first line of the commit message.
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In particular, note that most reviewers will only notice your PR
if it passes the continuous integration checks.
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Co-authors in the squash commit are gathered from two sources:
First, all authors of commits to this PR branch are included. Thus,
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|
t-category-theory
new-contributor
|
67/8 |
Mathlib/CategoryTheory/EssentiallySmall.lean,Mathlib/CategoryTheory/Skeletal.lean |
2 |
33 |
['Zeta-Wu', 'github-actions', 'joelriou', 'robin-carlier'] |
joelriou assignee:joelriou |
4-41109 4 days ago |
5-24493 5 days ago |
42-41009 42 days |
0 |
| 44235 |
SnirBroshi author:SnirBroshi |
doc(1000-yaml): fill in a few Euclidean geometry items we have |
CPCTC ("Corresponding Parts of Congruent Triangles are Congruent") is from #26758 which was adopted from leanprover-community/mathlib3#18214, and intersecting chords/secants theorem is from leanprover-community/mathlib3#7139.
---
CPCTC ([PR](https://github.com/leanprover-community/mathlib4/pull/26758/changes), [original PR](https://github.com/leanprover-community/mathlib3/pull/18214/changes)) ([Wikipedia](https://en.wikipedia.org/wiki/Congruence_(geometry)#CPCTC)):
- [`EuclideanGeometry.triangle_congruent_iff_dist_eq`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Geometry/Euclidean/Congruence.html#EuclideanGeometry.triangle_congruent_iff_dist_eq) (this is almost a definitional theorem, except [`Congruent`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Topology/MetricSpace/Congruence.html#Congruent) is defined using `edist` and the theorem uses `dist`)
- [`EuclideanGeometry.angle_eq_of_congruent`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Geometry/Euclidean/Congruence.html#EuclideanGeometry.angle_eq_of_congruent) (for any amount of points, not just for triangles)
Intersecting secants theorem ([PR](https://github.com/leanprover-community/mathlib3/pull/7139/changes)) ([Wikipedia](https://en.wikipedia.org/wiki/Intersecting_secants_theorem)):
- [`EuclideanGeometry.mul_dist_eq_mul_dist_of_cospherical_of_angle_eq_zero`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Geometry/Euclidean/Sphere/Power.html#EuclideanGeometry.mul_dist_eq_mul_dist_of_cospherical_of_angle_eq_zero)
Intersecting chords theorem (same [PR](https://github.com/leanprover-community/mathlib3/pull/7139/changes)) ([Wikipedia](https://en.wikipedia.org/wiki/Intersecting_chords_theorem)):
- [`EuclideanGeometry.mul_dist_eq_mul_dist_of_cospherical_of_angle_eq_pi`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Geometry/Euclidean/Sphere/Power.html#EuclideanGeometry.mul_dist_eq_mul_dist_of_cospherical_of_angle_eq_pi)
---
btw perhaps CPCTC should use [`Affine.Triangle`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/LinearAlgebra/AffineSpace/Simplex/Basic.html#Affine.Triangle), or [`Polygon`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Geometry/Polygon/Basic.html#Polygon)?
And should the intersecting secants/chords theorems use [`Collinear`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/LinearAlgebra/AffineSpace/FiniteDimensional.html#Collinear) & [`Wbtw`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Analysis/Convex/Between.html#Wbtw) instead of `angle .. = 0`/`π`?
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|
documentation
t-euclidean-geometry
maintainer-merge
|
10/0 |
docs/1000.yaml |
1 |
2 |
['github-actions', 'joneugster'] |
nobody |
4-27845 4 days ago |
5-13859 5 days ago |
5-13580 5 days |
0 |
| 43281 |
keyframe41 author:keyframe41 |
feat(NumberTheory/DiophantineApproximation): prove Hurwitz's approximation theorem |
Prove **Hurwitz's approximation theorem**: for irrational `ξ`, the set of rationals `q` with `|ξ - q| < 1 / (√5 * q.den ^ 2)` is infinite.
This strengthens `Real.infinite_rat_abs_sub_lt_one_div_den_sq_of_irrational` from`Mathlib/NumberTheory/DiophantineApproximation/Basic.lean`, which gives the same statement with constant `1` instead of `√5`. The constant `√5` is optimal, though the sharpness (using the golden ratio) is not included here.
The proof avoids continued fractions and opts for Farey brackets (quadruples `p/q < ξ < r/s` with `q * r - p * s = 1`) packaged as `Real.Hurwitz.IsFarey`. It uses the fact that at least one of `p/q`, `r/s`, and the mediant `(p + r)/(q + s)` satisfies the bound, as if not, we can contradict the irrationality of `√5`. By creating brackets of arbitrarily small width, infinitude follows by the same argument as in `Basic.lean`.
Some design choices:
* No `GenContFract` to avoid continued fractions/recursive sequences. This also follows the spirit of `Basic.lean`, which defines its own `Real.convergent` rather than building Legendre's theorem on `GenContFract.convs`.
* `Real.Hurwitz` namespace. Mirrors `Real.ContfracLegendre` in `Basic.lean` by putting the main result in `Real` and the technical material in a secondary namespace.
* `IsGoodApprox` is stated without division ** as `|y * ξ - x| * y * √5 < 1` for easier manipulation and linked to the quotient form in the actual theorem using `Real.Hurwitz.isGoodApprox_div_bound`.
---
I used Claude which suggested the overall strategy/lemmas and reviewed naming and documentation against the mathlib conventions. All proofs are my own. As a first-time contributor, AI was also used to help in learning Lean.
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|
t-number-theory
new-contributor
|
359/0 |
Mathlib.lean,Mathlib/NumberTheory/DiophantineApproximation/Hurwitz.lean |
2 |
11 |
['SnirBroshi', 'github-actions'] |
loefflerd assignee:loefflerd |
4-27771 4 days ago |
30-54431 30 days ago |
30-55351 30 days |
0 |
| 42072 |
joneugster author:joneugster |
feat(scripts/autolabel): use PR-title to find labels |
If present, use the paths specified in the PR title to determine labels. If this fails, fall back to the existing `git diff` logic.
- further: cleanup to use `githubAnnotation` consistently throughout the script. (the helper itself could be refactored to make some arguments optional, I'd prefer doing that in a follow-up)
---
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|
CI |
48/12 |
.github/workflows/add_label_from_diff.yaml,scripts/autolabel.lean |
2 |
5 |
['SnirBroshi', 'github-actions', 'joneugster', 'mathlib-merge-conflicts'] |
nobody |
4-27427 4 days ago |
4-28327 4 days ago |
19-5917 19 days |
0 |
| 44248 |
tomaz1502 author:tomaz1502 |
feat(Analysis/Polynomial): the sign of a polynomial immediately to the right of a point |
This PR defines `Polynomial.signRight x p : SignType`, the sign that a real polynomial `p` takes
on a small interval `(x, x + ε)`, as the limit of `sign (p.eval y)` as `y → x` from the right, and
develops its basic API:
* `eventually_sign_eq_signRight`, `signRight_eq_iff`: the defining property and its uniqueness;
* `signRight_eq_zero_iff`: `signRight x p = 0` iff `p = 0`;
* `signRight_mul`, `signRight_neg`, `signRight_C`: `signRight x` is multiplicative, commutes with
negation and agrees with `SignType.sign` on constants;
* `signRight_of_eval_ne_zero`, `signRight_of_eval_eq_zero`: the computation rule
`signRight x p = sign (p.eval x)` if `p.eval x ≠ 0`, and `signRight x p = signRight x (derivative p)`
otherwise (via the mean value theorem).
This is the local invariant behind Sturm's theorem: it determines the direction in which the sign
of a Sturm sequence changes across a root, and it will be used to define the Cauchy index in the
next PR of the series.
This is the third PR of a series formalising the Sturm–Tarski theorem, following #43783
(`List.signVariations`) and #43954 (`Polynomial.sturmSeq`). Everything is stated over `ℝ`; the
statements hold over any real closed field, and the implementation notes record what is needed to
generalise them.
Co-authored-by: Pedro Saccomani <psaccomani15@gmail.com>
Co-authored-by: Sarah Pereira <sarahcomh@proton.me>
Co-authored-by: Kim Morrison <477956+kim-em@users.noreply.github.com>
---
The original development was done manually. We used Claude (Fable 5.1) to review the code,
suggest improvements and help in the preparation of the PR. |
new-contributor |
195/0 |
Mathlib.lean,Mathlib/Algebra/Polynomial/FieldDivision.lean,Mathlib/Analysis/Polynomial/SignRight.lean,Mathlib/Topology/Instances/Sign.lean |
4 |
2 |
['github-actions'] |
nobody |
4-26411 4 days ago |
4-28036 4 days ago |
4-27757 4 days |
0 |
| 43983 |
JX-Mo author:JX-Mo |
chore(RepresentationTheory/Rep/Res): remove a layer on `Rep.res` |
Define directly `abbrev res (f : H →* G) (A : Rep k G) := of (A.ρ.comp f)` and golf. |
t-algebra label:t-algebra$ |
14/17 |
Mathlib/RepresentationTheory/Coinduced.lean,Mathlib/RepresentationTheory/Homological/GroupCohomology/Functoriality.lean,Mathlib/RepresentationTheory/Homological/GroupHomology/Functoriality.lean,Mathlib/RepresentationTheory/Rep/Res.lean |
4 |
11 |
['JX-Mo', 'Whysoserioushah', 'github-actions', 'leanprover-radar'] |
nobody |
4-25646 4 days ago |
11-35932 11 days ago |
11-55589 11 days |
3 |
| 43834 |
sgouezel author:sgouezel |
chore: extend L^p lemmas from normed spaces to enormed setting |
In the refactor of eLpNorm in #42406, I adapted some lemmas in `LpSemiNorm.CompareExp` to the new setting by adding a continuity assumption. It turns out that this assumption is too strong for some applications in Carleson. This PR proves more general versions of the lemmas, suitable for Carleson.
The lemmas are of the form `eLpNorm (fun x => b (f x) (g x)) r μ ≤ c * eLpNorm f p μ * eLpNorm g q μ` when `‖b (f x) (g x)‖ ≤ c * ‖f x‖ * ‖g x‖` (where the norm could also be an nnnorm or an enorm). They were only proved in normed spaces. The PR proves versions in enormed spaces. The main new application is the inequality `eLpNorm (f * g) r μ ≤ eLpNorm f p μ * eLpNorm g q μ` when `f` and `g` take values in ENNReal.
I tried to be coherent, with lemmas named `..._of_pos` when they assume that `r` is positive, with `of_enorm` when the assumption is in terms of enorms, and `of_norm` when it's in terms of norms. Now, the main statements are the enorms ones, and the other statements are deduced from the enorms ones. I have not removed any statement, but I have renamed those that were not following this convention. The PR is maybe hard to review because of this, but the changes are mostly mechanical. I have tried hard to avoid measurability assumptions when they were not necessary.
---
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|
t-measure-probability |
280/145 |
Mathlib/Analysis/Normed/Group/Real.lean,Mathlib/MeasureTheory/Function/Holder.lean,Mathlib/MeasureTheory/Function/LpSeminorm/CompareExp.lean,Mathlib/MeasureTheory/Function/LpSeminorm/SMul.lean,Mathlib/MeasureTheory/Function/StronglyMeasurable/AEStronglyMeasurable.lean,Mathlib/MeasureTheory/Integral/MeanInequalities.lean |
6 |
22 |
['D-Thomine', 'github-actions', 'grunweg', 'mathlib-bors', 'mathlib-merge-conflicts', 'mathlib-splicebot', 'sgouezel'] |
grunweg assignee:grunweg |
4-24324 4 days ago |
4-24324 4 days ago |
13-17216 13 days |
0 |
| 42336 |
kim-em author:kim-em |
feat(Tactic): add sum-of-squares tactic |
This PR adds the `leanprover/sos` tactic to Mathlib. See `MathlibTest/Tactic/SOS/Showcase.lean` for example applications.
---
## Review order
The history is deliberately six buildable commits, in this order:
1. `feat(Cache): fetch prebuilt native dependencies` — the Lake/cache boundary, tests, workflow hook, security documentation, and stable engine pin.
2. `feat(Tactic/SOS): add exact certificate verifier` — the small proof-facing polynomial and certificate layer.
3. `feat(Tactic/SOS): add sum-of-squares tactic` — reification, lifting, tactic elaboration, and public imports.
4. `test(Tactic/SOS): cover published examples and trust boundary` — the announcement showcase, Harrison examples, Blekherman–Bodirsky–Raghavendra follow-up examples, division/modulus coverage, issue #50, and axiom audit.
5. `chore(Tactic/SOS): use Lean 4.34 native releases` — the final SOS/CSDP release pins and simplified provider-release fetch.
6. `refactor(Tactic/SOS): share certificate quotation` — moves reusable certificate decompilation, quotation, and formatting into SOS v0.2.4, and removes obsolete commentary and repeated end-to-end examples. This layer reduces the Mathlib diff by 405 lines without removing distinct tactic paths or active negative tests.
## Trust and cache boundary
CSDP is a search oracle, not part of the logical trusted base. The tactic converts its answer to exact rational data and closes the goal through the checked verifier and Lean kernel.
Mathlib's cache command fetches `@CSDP:release` before unpacking the ordinary Lean cache. CSDP v0.1.2 supplies its complete platform build, so a cold checkout retains the normal invariant without compiling CSDP components:
```bash
lake exe cache get
lake build --no-build
```
The checked-in manifest pins the provider source, and the cache helper executes only its explicit allowlist. CSDP does not use Lake's implicit preferred-release job, so an ordinary offline or sandboxed build can still fall back to its bundled portable sources.
The Mathlib requirement points to the immutable, Mathlib-free SOS v0.2.4 release. Its Hex dependencies are likewise pinned to stable releases.
## Required landing order
1. Merge this Mathlib PR while it points to the stable SOS release tag.
2. Update SOS `main` to the staged Mathlib-free engine branch.
3. Make a one-line Mathlib follow-up changing the SOS requirement from the release tag back to `main`.
|
t-meta |
3999/2 |
Cache/IO.lean,Cache/Main.lean,Cache/Native.lean,Cache/README.md,Cache/SECURITY.md,Cache/Test.lean,Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/SOS.lean,Mathlib/Tactic/SOS/Certificate.lean,Mathlib/Tactic/SOS/Lift.lean,Mathlib/Tactic/SOS/Polynomial.lean,Mathlib/Tactic/SOS/Raw.lean,Mathlib/Tactic/SOS/Reify.lean,Mathlib/Tactic/SOS/Tactic.lean,Mathlib/Tactic/SOS/Verifier.lean,MathlibTest/Tactic/SOS/Axioms.lean,MathlibTest/Tactic/SOS/BBR.lean,MathlibTest/Tactic/SOS/DivMod.lean,MathlibTest/Tactic/SOS/Examples.lean,MathlibTest/Tactic/SOS/Harrison.lean,MathlibTest/Tactic/SOS/Issue50.lean,MathlibTest/Tactic/SOS/Showcase.lean,docs/workflows.md,lake-manifest.json,lakefile.lean |
26 |
3 |
['github-actions', 'joneugster', 'mathlib-merge-conflicts'] |
thorimur assignee:thorimur |
4-23449 4 days ago |
15-51272 15 days ago |
21-54192 21 days |
0 |
| 44251 |
gotrevor author:gotrevor |
doc(1000-yaml): add the Paris–Harrington theorem |
Adds an external-formalization pointer to the Paris–Harrington entry `Q7137494`, in the same form as my open #41337 (Goodstein / Kirby–Paris).
I know #44115 proposes moving non-mathlib entries out of `1000.yaml` (as @wwylele noted on #41337). I'm opening this anyway so the formalization is easy to find: nobody else needs to redo Paris–Harrington, and anyone who wants to build on it or cite it can start from this one. If #44115 lands, I'm happy to close this and re-home the entry wherever external formalizations end up.
## Entry
| Wikidata | Theorem | Formalization |
|----------|---------|---------------|
| `Q7137494` | **Paris–Harrington theorem**: Peano Arithmetic does not prove the Paris–Harrington principle (the strengthened finite Ramsey theorem with "relatively large" homogeneous sets), though it is true | [`goodstein-independence`](https://github.com/gotrevor/goodstein-independence/blob/main/src/GoodsteinPA/PH/Main.lean) |
## Notes
- Headline: `GoodsteinPA.PH.pa_not_proves_ph`. For every Σ₁ formula defining the principle, PA does not prove its universal closure. Companion theorems: `exists_sigma1_ph_def` (such a formula exists) and `ph_true` (the principle holds, via infinite Ramsey).
- The lower bound follows Buchholz's lecture-notes proof, after Loebl–Nešetřil. Independence then goes through a Wainer-style bound for PA-provable Π₂ sentences, built on the [`FormalizedFormalLogic/Foundation`](https://github.com/FormalizedFormalLogic/Foundation) library, the same library behind the Löb's-theorem entry `Q204884`.
- Developed with AI assistance (Claude Code and Codex).
|
LLM-generated
new-contributor
|
4/0 |
docs/1000.yaml |
1 |
3 |
['github-actions', 'gotrevor'] |
nobody |
4-21356 4 days ago |
4-22342 4 days ago |
4-22063 4 days |
0 |
| 44001 |
joneugster author:joneugster |
feat(scripts): synchronise WIP label with draft status |
Add script `sync_wip_label.yml` which ensures that the "WIP" label is present if and only if the PR is a draft.
This triggers on both events, label changes and draft status changes and updates the other one accordingly.
- further: some cleanup in `labels_from_comment.yml`. I first thought I had to add a snippet there to update the draft status whenever the "WIP" label was changed through a comment. This is not necessary anymore, but I did leave the cleanup changes in this PR.
---
Things to note:
- if the script applies a change, it immediately retriggers itself, but this time its a no-op
- `gh` vs. `curl`: it seems overall we have been using `curl` more often. However, it is not possible to change the draft status over `curl` using the REST endpoint, thus this PR uses `gh`.
- AI-usage: an interactive chat model has been used to get an initial draft of the YAML file, to explore github API docs, and to do a review of what I've written.
### Documentation
- [pull_request_target](https://docs.github.com/en/actions/reference/workflows-and-actions/workflow-syntax#onpull_requestpull_request_targetbranchesbranches-ignore)
- [actions triggering workflows](https://docs.github.com/en/actions/reference/workflows-and-actions/events-that-trigger-workflows#pull_request_target)
### Testing (does not apply anymore after the first review)
Here is the local testing setup to verify the bash code. PR ##44004 can be used for this.
<details>
Locally with `gh` installed, this can be triggered manually:
Initially, set up the following variables:
```bash
export PR_NUMBER=44004
export REPO=leanprover-community/mathlib4
export CHANGED_LABEL="WIP"
```
`IS_DRAFT` can be updated manually. You might need to do this after each test:
```bash
export IS_DRAFT=$(gh pr view "$PR_NUMBER" --repo "$REPO" --json isDraft --jq '.isDraft')
```
Then choose an action:
```bash
export ACTION=converted_to_draft. # will add WIP
export ACTION=ready_for_review. # will remove WIP
export ACTION=labeled # convert to draft
export ACTION=unlabeled # mark ready for reviewing
```
after that, you can copy the `case` block from this PR into your bash and observe the changes made to #44004
</details>
[](https://gitpod.io/from-referrer/)
|
CI |
48/4 |
.github/workflows/labels_from_comment.yml,.github/workflows/sync_wip_label.yml,docs/workflows.md |
3 |
22 |
['SnirBroshi', 'bryangingechen', 'github-actions', 'joneugster'] |
nobody |
4-20397 4 days ago |
11-26636 11 days ago |
11-26357 11 days |
0 |
| 44218 |
wwylele author:wwylele |
feat(Geometry/Euclidean): distance from vertex to nine-point circle center |
This PR derives the formula $$|AN|^2 = (R^2+c^2+b^2-a^2) / 4$$ for triangle $ABC$, where $N$ is the nine-point circle center, and $R$ is the circumradius. The PR first introduce the formula of distance from vertex to a generic point on the Euler line, then specialize it to `ninePointCircle`, and finally specialize it to triangle.
---
<!-- Your PR title will become the first line of the commit message.
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|
t-euclidean-geometry
maintainer-merge
|
103/0 |
Mathlib/Geometry/Euclidean/Circumcenter.lean,Mathlib/Geometry/Euclidean/NinePointCircle.lean,Mathlib/LinearAlgebra/AffineSpace/Simplex/Centroid.lean |
3 |
3 |
['copilot-pull-request-reviewer', 'github-actions', 'jsm28'] |
nobody |
4-17722 4 days ago |
5-73028 5 days ago |
5-72749 5 days |
1 |
| 43153 |
NoahW314 author:NoahW314 |
feat(Data/Finsupp/Basic): range of `equivMapDomain` |
---
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one way to add co-authors is to include at least one commit authored by
each co-author among the commits in the pull request. If necessary, you
may create empty commits to indicate co-authorship, using commands like so:
git commit --author="Author Name <author@email.com>" --allow-empty -m "add Author Name as coauthor"
Second, co-authors can also be listed in lines at the very bottom of
the commit message (that is, directly before the `---`) using the following format:
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any "Co-authored-by" lines) using the following format:
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Deletions:
- Nat.bit1_add_bit1
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Any other comments you want to keep out of the PR commit should go
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-->
[](https://gitpod.io/from-referrer/)
|
t-data |
9/0 |
Mathlib/Data/Finsupp/Basic.lean |
1 |
3 |
['BoltonBailey', 'NoahW314', 'github-actions'] |
nobody |
4-17521 4 days ago |
5-68952 5 days ago |
25-56984 25 days |
0 |
| 43858 |
BoltonBailey author:BoltonBailey |
chore(Algebra/GroupWithZero/Units/Basic): rename three lemmas `'` -> `₀` |
This PR comes about as a result of using Claude to look for easy reductions to the docPrime linter. Claude turned up three lemmas about GroupWithZero named with primes which are analogous to unprimed lemmas about groups. This PR renames them to use the usual convention of naming such lemmas with an underscored zero.
- `div_left_inj'`
- `div_div_cancel_left'`
- `div_div_div_cancel_left'`
---
<!-- Your PR title will become the first line of the commit message.
In this box, the text above the `---` (if not empty) will be appended
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In particular, note that most reviewers will only notice your PR
if it passes the continuous integration checks.
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When merging, all the commits will be squashed into a single commit
listing all co-authors.
Co-authors in the squash commit are gathered from two sources:
First, all authors of commits to this PR branch are included. Thus,
one way to add co-authors is to include at least one commit authored by
each co-author among the commits in the pull request. If necessary, you
may create empty commits to indicate co-authorship, using commands like so:
git commit --author="Author Name <author@email.com>" --allow-empty -m "add Author Name as coauthor"
Second, co-authors can also be listed in lines at the very bottom of
the commit message (that is, directly before the `---`) using the following format:
Co-authored-by: Author Name <author@email.com>
If you are moving or deleting declarations, please include these lines
at the bottom of the commit message (before the `---`, and also before
any "Co-authored-by" lines) using the following format:
Moves:
- Vector.* -> List.Vector.*
- ...
Deletions:
- Nat.bit1_add_bit1
- ...
Any other comments you want to keep out of the PR commit should go
below the `---`, and placed outside this HTML comment, or else they
will be invisible to reviewers.
If this PR depends on other PRs, please list them below this comment,
using the following format:
- [ ] depends on: #abc [optional extra text]
- [ ] depends on: #xyz [optional extra text]
-->
[](https://gitpod.io/from-referrer/)
|
tech debt
LLM-generated
t-algebra
label:t-algebra$ |
28/25 |
Mathlib/Algebra/Field/ModEq.lean,Mathlib/Algebra/GroupWithZero/Units/Basic.lean,Mathlib/Analysis/BoxIntegral/UnitPartition.lean,Mathlib/Analysis/Complex/UpperHalfPlane/Metric.lean,Mathlib/Analysis/Normed/Algebra/QuaternionExponential.lean,Mathlib/Analysis/SpecialFunctions/Log/Base.lean,Mathlib/Analysis/SpecialFunctions/Stirling.lean,Mathlib/Geometry/Euclidean/Angle/Bisector.lean,Mathlib/Geometry/Euclidean/Angle/Oriented/Affine.lean,Mathlib/NumberTheory/FLT/Basic.lean,Mathlib/NumberTheory/Height/NumberField.lean,Mathlib/NumberTheory/LSeries/HurwitzZetaEven.lean,Mathlib/NumberTheory/LSeries/ZMod.lean,Mathlib/NumberTheory/PythagoreanTriples.lean,Mathlib/Probability/Distributions/Gaussian/CharFun.lean,Mathlib/Probability/Distributions/Gaussian/HasGaussianLaw/Independence.lean,Mathlib/RingTheory/Invariant/Basic.lean,Mathlib/Topology/Instances/AddCircle/Real.lean,scripts/nolints_prime_decls.txt |
19 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
4-14086 4 days ago |
4-16656 4 days ago |
13-41031 13 days |
0 |
| 40604 |
xroblot author:xroblot |
feat(Algebra.GroupWithZero): generalize SMulZeroClass to MonoidWithZero and lift MulDistribMulAction to nonZeroDivisors |
Generalize the instance `SMulZeroClass α β` under `[Group α] [GroupWithZero β] [MulDistribMulAction α β]`to `[Group α] [MonoidWithZero β] [MulDistribMulAction α β]`.
From an action `[Group G] [MonoidWithZero M] [MulDistribMulAction G M]`, use this instance to construct an action on the nonzero divisors of 'M'.
**No diamond**: there is no general instance giving an action on a submonoid as a target (that would need the submonoid to be invariant, which isn't automatic), so defining the action on `nonZeroDivisors` should not clash with anything .
:robot: This PR was extracted from the [SKW project](https://github.com/xroblot/SKW) by Claude. |
t-algebra label:t-algebra$ |
55/6 |
Mathlib/Algebra/GroupWithZero/Action/Defs.lean,Mathlib/Algebra/GroupWithZero/NonZeroDivisors.lean,Mathlib/Algebra/Ring/Action/ConjAct.lean |
3 |
6 |
['github-actions', 'leanprover-radar', 'themathqueen', 'xroblot'] |
kim-em assignee:kim-em |
3-77019 3 days ago |
26-59418 26 days ago |
103-49455 103 days |
0 |
| 40636 |
xroblot author:xroblot |
feat(RingTheory/FractionalIdeal): IsMulTorsionFree instance |
- Adds `FractionalIdeal.isMulTorsionFree_of_le_nonZeroDivisors`: if `S ≤ R⁰` and `[IsMulTorsionFree (Ideal R)]`, then `IsMulTorsionFree (FractionalIdeal S P)`.
- Derives `FractionalIdeal.instIsMulTorsionFree` for the fraction field case (`S = R⁰`).
Also adds a discoverability note in `DedekindDomain/Ideal/Basic.lean` pointing to `Mathlib.Algebra.GroupWithZero.Torsion` for the `IsMulTorsionFree (Ideal A)` instance (hence also `IsMulTorsionFree (FractionalIdeal A⁰ K)`).
:robot: This PR was extracted from the [SKW project](https://github.com/xroblot/SKW) by Claude. |
t-ring-theory |
44/0 |
Mathlib/RingTheory/DedekindDomain/Ideal/Basic.lean,Mathlib/RingTheory/FractionalIdeal/Operations.lean |
2 |
1 |
['github-actions'] |
mattrobball assignee:mattrobball |
3-77018 3 days ago |
82-32704 82 days ago |
82-32469 82 days |
0 |
| 44227 |
mitchell-horner author:mitchell-horner |
chore(Combinatorics/SimpleGraph): remove `backward.isDefEq.respectTransparency.types` from `ErdosStoneSimonovits` and golf theorems |
Removes `backward.isDefEq.respectTransparency.types` from ErdosStoneSimonovits.lean and golfs several theorems.
---
<!-- Your PR title will become the first line of the commit message.
In this box, the text above the `---` (if not empty) will be appended
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For details on the "pull request lifecycle" in mathlib, please see:
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In particular, note that most reviewers will only notice your PR
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Co-authors in the squash commit are gathered from two sources:
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the commit message (that is, directly before the `---`) using the following format:
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at the bottom of the commit message (before the `---`, and also before
any "Co-authored-by" lines) using the following format:
Moves:
- Vector.* -> List.Vector.*
- ...
Deletions:
- Nat.bit1_add_bit1
- ...
Any other comments you want to keep out of the PR commit should go
below the `---`, and placed outside this HTML comment, or else they
will be invisible to reviewers.
If this PR depends on other PRs, please list them below this comment,
using the following format:
- [ ] depends on: #abc [optional extra text]
- [ ] depends on: #xyz [optional extra text]
-->
|
tech debt
t-combinatorics
maintainer-merge
|
58/68 |
Mathlib/Combinatorics/SimpleGraph/CompleteMultipartite.lean,Mathlib/Combinatorics/SimpleGraph/Extremal/ErdosStoneSimonovits.lean |
2 |
13 |
['SnirBroshi', 'github-actions', 'grunweg', 'mitchell-horner'] |
nobody |
3-76531 3 days ago |
4-56984 4 days ago |
4-62885 4 days |
0 |
| 44268 |
kim-em author:kim-em |
fix(CI): let "Cross off linked issues" write on fork PRs |
This PR runs the "Cross off linked issues" workflow on `pull_request_target` and declares `issues: write` and `pull-requests: write`. On `pull_request` from a fork the token is read-only, so ticking linked checkboxes failed for most PRs; the job checks out no PR code, so `pull_request_target` is safe here.
🤖 Prepared with Claude + Codex |
CI |
7/2 |
.github/workflows/sync_closed_tasks.yaml |
1 |
1 |
['github-actions'] |
nobody |
3-75211 3 days ago |
3-75301 3 days ago |
3-75022 3 days |
0 |
| 43569 |
kim-em author:kim-em |
refactor(ModuleCat): state pushforward coherence without identifying functor bracketings |
This PR makes the pushforward of (pre)sheaves of modules along the identity functor and along a composition of functors honestly typed. Currently `pushforwardId` takes `𝟙 S` at the type `S ⟶ (𝟭 C).op ⋙ S` and `pushforwardComp` takes `φ ≫ whiskerLeft F.op ψ` at the type `S ⟶ (F ⋙ G).op ⋙ T`, which only elaborate because `Functor.comp`, `Functor.id` and `Functor.op` unfold. The new `pushforwardIdHom` and `pushforwardCompHom` are the unitor and associator composed with `Functor.opId`/`Functor.opComp` (see `pushforwardIdHom_eq` and `pushforwardCompHom_eq`), and the associativity and unitality isomorphisms of pushforward and pullback are transported along the functor associator and unitors through the new `pushforwardCongr₂`/`pullbackCongr₂` (added at the presheaf level, together with `pushforwardCongr`, `pushforwardNatTrans` and `pushforwardNatIso`). The scheme-level pseudofunctor coherence lemmas in `AlgebraicGeometry.Modules.Sheaf` are reproved from these, and `Adjunction.leftAdjointCompIso_trans` is added for that purpose.
It is extracted from Paul Reichert's experiment making `Functor.comp` and `Functor.id` `instance_reducible` (https://github.com/leanprover-community/mathlib4/compare/master...leanprover-community:mathlib4-nightly-testing:datokrat/functorcomp, discussed at https://leanprover.zulipchat.com/#narrow/channel/113488-general/topic/backward.2EisDefEq.2ErespectTransparency), and is the (pre)sheaf-of-modules half of https://github.com/leanprover-community/mathlib4/pull/43566; it is independent of that PR.
🤖 Prepared with Claude Code |
tech debt
t-category-theory
|
480/131 |
Mathlib/Algebra/Category/ModuleCat/Presheaf.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/Pullback.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/Pushforward.lean,Mathlib/Algebra/Category/ModuleCat/Sheaf/PullbackContinuous.lean,Mathlib/Algebra/Category/ModuleCat/Sheaf/PushforwardContinuous.lean,Mathlib/Algebra/Category/ModuleCat/Sheaf/Quasicoherent.lean,Mathlib/AlgebraicGeometry/Modules/Sheaf.lean,Mathlib/CategoryTheory/Adjunction/CompositionIso.lean,Mathlib/Topology/Sheaves/Module.lean |
9 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
3-70887 3 days ago |
3-72026 3 days ago |
21-80416 21 days |
0 |
| 43570 |
kim-em author:kim-em |
refactor(AlgebraicGeometry/Modules): transport pushforward along Opens.map functoriality isos |
This PR defines `Scheme.Modules.pushforwardId` and `pushforwardComp` by transporting the sheaf-of-modules isomorphisms along the existing `Opens.mapId` and `Opens.mapComp` (via `SheafOfModules.pushforwardCongr₂`) rather than by identifying `Opens.map (𝟙 X).base` with `𝟭` and `Opens.map (f ≫ g).base` with `Opens.map g.base ⋙ Opens.map f.base` by unfolding `Opens.map`. The componentwise simp lemmas become `M.presheaf.map_id` rather than `rfl`, and the pseudofunctor coherence fields are discharged explicitly since `cat_disch` no longer finds them by reflexivity. Also adds the simp lemma `Adj.eqToHom_τl`.
It is extracted from Paul Reichert's experiment making `Functor.comp` and `Functor.id` `instance_reducible` (https://github.com/leanprover-community/mathlib4/compare/master...leanprover-community:mathlib4-nightly-testing:datokrat/functorcomp, discussed at https://leanprover.zulipchat.com/#narrow/channel/113488-general/topic/backward.2EisDefEq.2ErespectTransparency), and depends on https://github.com/leanprover-community/mathlib4/pull/43569. The diff relative to that PR is https://github.com/kim-em/mathlib4/compare/associators-sheaves...opens-map.
🤖 Prepared with Claude Code |
tech debt |
516/139 |
Mathlib/Algebra/Category/ModuleCat/Presheaf.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/Pullback.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/Pushforward.lean,Mathlib/Algebra/Category/ModuleCat/Sheaf/PullbackContinuous.lean,Mathlib/Algebra/Category/ModuleCat/Sheaf/PushforwardContinuous.lean,Mathlib/Algebra/Category/ModuleCat/Sheaf/Quasicoherent.lean,Mathlib/AlgebraicGeometry/Modules/Sheaf.lean,Mathlib/CategoryTheory/Adjunction/CompositionIso.lean,Mathlib/CategoryTheory/Bicategory/Adjunction/Adj.lean,Mathlib/Topology/Sheaves/Module.lean |
10 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
3-70650 3 days ago |
3-72017 3 days ago |
21-79824 21 days |
0 |
| 41220 |
wwylele author:wwylele |
feat(Geometry/Euclidean): two formula for area of a triangle |
This PR proves two basic formulas for triangle area: `s = 1/2 * h * b = 1/2 * a * b * sin C`
---
<!-- Your PR title will become the first line of the commit message.
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- Nat.bit1_add_bit1
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- [ ] depends on: #xyz [optional extra text]
-->
- [ ] depends on #37910
[](https://gitpod.io/from-referrer/)
|
t-euclidean-geometry
maintainer-merge
|
110/1 |
Mathlib.lean,Mathlib/Geometry/Euclidean/Angle/Unoriented/Affine.lean,Mathlib/Geometry/Euclidean/Angle/Unoriented/Projection.lean,Mathlib/Geometry/Euclidean/Triangle.lean,Mathlib/Geometry/Euclidean/Volume/Triangle.lean |
5 |
18 |
['SnirBroshi', 'copilot-pull-request-reviewer', 'github-actions', 'jsm28', 'mathlib-bors', 'mathlib-merge-conflicts', 'wwylele'] |
jsm28 assignee:jsm28 |
3-68825 3 days ago |
8-37122 8 days ago |
9-70778 9 days |
3 |
| 44032 |
kim-em author:kim-em |
chore: remove backward.privateInPublic by wrapping proofs with private_decl% |
This PR removes 171 uses of `backward.privateInPublic` across 37 files. Wherever a public declaration used a private lemma in a proof position, the proof is wrapped with core's `private_decl%` elaborator, or with the `field := private proof` structure-instance syntax where the proof fills a structure field. Both elaborate the proof in a private context and hide it behind an auxiliary declaration, which is harmless by proof irrelevance. No declaration changes visibility and no statement changes, except that in `Combinatorics/SetFamily/AhlswedeZhang` the `Finset → Set` coercion in `lowerClosure s` is now written explicitly, since `private_decl%` elaborates eagerly and otherwise sees the coercion's pending metavariable.
This follows the plan of #42755 by @thorimur and takes its non-elaborator changes verbatim: moving `variable` commands out of `public section` in four files where almost every declaration is private (Galois/Decomposition, ChevalleyComplexity, GromovHausdorffRealized, NumberField/House; see https://github.com/leanprover/lean4/issues/14708 and https://github.com/leanprover/lean4/issues/14718), making the two lemmas used by the `sz_positivity` macro public under internal names, and separating data from proof in `binomExpansion` and `archimedeanClassOrderIso`. The difference is that this PR uses the elaborator that already exists in core rather than the `private` term elaborator proposed in #42563, so that it can land now. Once #42563 is in, every `private_decl% (…)` here can be replaced mechanically by `private …`. The 13 files that only need the field syntax are in #44023 and are not touched here.
🤖 Prepared with Claude Code |
tech debt |
135/274 |
Mathlib/Algebra/Group/End.lean,Mathlib/Algebra/Lie/BaseChange.lean,Mathlib/Algebra/Lie/Weights/RootSystem.lean,Mathlib/Algebra/Module/Injective.lean,Mathlib/Algebra/Polynomial/Identities.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/InducedMaps.lean,Mathlib/AlgebraicTopology/SimplicialSet/HomotopyCat.lean,Mathlib/Analysis/InnerProductSpace/TensorProduct.lean,Mathlib/Analysis/Normed/Lp/PiLp.lean,Mathlib/Analysis/Normed/Lp/ProdLp.lean,Mathlib/Analysis/Normed/Operator/Basic.lean,Mathlib/CategoryTheory/Galois/Decomposition.lean,Mathlib/CategoryTheory/Monoidal/Closed/FunctorCategory/Complete.lean,Mathlib/CategoryTheory/Preadditive/CommGrp_.lean,Mathlib/Combinatorics/SetFamily/AhlswedeZhang.lean,Mathlib/Combinatorics/SimpleGraph/Copy.lean,Mathlib/Combinatorics/SimpleGraph/Regularity/Bound.lean,Mathlib/Computability/Primrec/List.lean,Mathlib/Data/Finset/Union.lean,Mathlib/FieldTheory/PerfectClosure.lean,Mathlib/GroupTheory/DivisibleHull.lean,Mathlib/LinearAlgebra/LinearPMap.lean,Mathlib/LinearAlgebra/RootSystem/Basic.lean,Mathlib/ModelTheory/Algebra/Ring/FreeCommRing.lean,Mathlib/NumberTheory/NumberField/House.lean,Mathlib/Order/BooleanAlgebra/Basic.lean,Mathlib/Order/Lattice/Congruence.lean,Mathlib/RingTheory/Coalgebra/TensorProduct.lean,Mathlib/RingTheory/DividedPowers/Padic.lean,Mathlib/RingTheory/DividedPowers/SubDPIdeal.lean,Mathlib/RingTheory/PicardGroup.lean,Mathlib/RingTheory/Spectrum/Prime/ChevalleyComplexity.lean,Mathlib/Topology/ExtremallyDisconnected.lean,Mathlib/Topology/MetricSpace/GromovHausdorffRealized.lean,Mathlib/Topology/MetricSpace/Pseudo/Defs.lean,Mathlib/Topology/UnitInterval.lean |
36 |
5 |
['JovanGerb', 'github-actions', 'kim-em', 'mathlib-merge-conflicts', 'thorimur'] |
nobody |
3-67797 3 days ago |
3-72011 3 days ago |
8-33504 8 days |
0 |
| 28686 |
mitchell-horner author:mitchell-horner |
feat(Combinatorics/SimpleGraph): prove the Erdős-Stone theorem |
Proves the Erdős-Stone theorem:
If `G` has at least `(1 - 1 / r + o(1)) * n ^ 2 / 2` many edges, then `G` contains a copy of a `completeEquipartiteGraph (r + 1) t`.
---
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- [x] depends on: #28685
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
large-import
|
164/1 |
Mathlib/Combinatorics/SimpleGraph/Extremal/ErdosStoneSimonovits.lean |
1 |
13 |
['Parcly-Taxel', 'SnirBroshi', 'barni120400', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'mitchell-horner'] |
b-mehta assignee:b-mehta |
3-59855 3 days ago |
3-62489 3 days ago |
90-32987 90 days |
2 |
| 43037 |
kim-em author:kim-em |
feat(Tactic/NormNum): add `norm_num_simproc` and use it for `Nat.fib` |
Adds `norm_num_simproc` to share a numerical evaluator between `norm_num` and simproc sets, and uses it to make `Nat.fib` evaluation available to `simp` and `grind`.
```lean
norm_num_simproc [simp, seval] evalNatFib (Nat.fib _) where
eval {_ _} e := ...
```
This declares the simproc `evalNatFib` and the extension `evalNatFib.normNumExt`. The set list defaults to `[simp]`; an explicit list replaces it, with `[]` disabling automatic simproc registration. Both registrations support `local` and `scoped`.
The extension retains recursive operand normalization for direct consumers such as `ring` and `positivity`. `Nat.fib` is a first example: around 30 existing extensions are candidates for conversion, including `Nat.factorial`, `Nat.Prime`, and the Jacobi and Legendre symbols. Each will need its own registration and performance assessment.
:robot: prepared with Codex+Claude
|
t-meta
LLM-generated
|
316/9 |
Mathlib/Tactic/NormNum/Core.lean,Mathlib/Tactic/NormNum/NatFib.lean,MathlibTest/Tactic/NormNum/NatFib.lean,MathlibTest/Tactic/NormNum/SimprocMacro.lean |
4 |
16 |
['JovanGerb', 'github-actions', 'kim-em', 'thorimur'] |
thorimur assignee:thorimur |
3-59366 3 days ago |
8-52441 8 days ago |
40-64335 40 days |
0 |
| 36937 |
Yaohua-Leo author:Yaohua-Leo |
feat(Algebra/Jordan): add first linearization lemmas for IsCommJordan |
[](https://gitpod.io/from-referrer/)
AI assistance disclosure: I used AI assistance for CI/debugging and module-structure fixes in this PR. The mathematical content and main lemmas were written by me, with help from @pelicanhere.
This PR adds a new file `Mathlib/Algebra/Jordan/Linearization.lean` containing linearization lemmas for the commutative Jordan identity.
Main declarations:
* `IsCommJordan.four_nsmul_associator_mul_add`
* `IsCommJordan.associator_mul_add`
These lemmas formalize a first linearization of the commutative Jordan identity using `associator`, following McCrimmon, Proposition 1.8.5.
---
I put these lemmas in a separate file because I expect follow-up linearization lemmas to belong naturally in the same place.
I am also happy to rename declarations or move the file if reviewers would prefer. |
t-algebra
new-contributor
label:t-algebra$ |
152/90 |
Mathlib.lean,Mathlib/Algebra/Jordan/Basic.lean,Mathlib/Algebra/Jordan/Linearization.lean |
3 |
8 |
['Yaohua-Leo', 'github-actions', 'grunweg', 'ocfnash'] |
ocfnash assignee:ocfnash |
3-58158 3 days ago |
3-81332 3 days ago |
17-5463 17 days |
0 |
| 42720 |
justinhalford author:justinhalford |
feat(Order/KrullDimension): level sets of height are antichains |
Adds one lemma to `Mathlib/Order/KrullDimension.lean`, directly after `height_strictMono`:
```lean
lemma isAntichain_lt_height_preimage {n : ℕ∞} (hn : n ≠ ⊤) :
IsAntichain (· < ·) {x : α | height x = n}
```
Elements sharing a common *finite* height are pairwise incomparable — the level sets of `height` are antichains.
### Why
This is the combinatorial content of **Mirsky's theorem**, which partitions a finite-dimensional order into `krullDim + 1` antichains (and is the easy dual of Dilworth's theorem). Neither Mirsky nor Dilworth currently appears in Mathlib — both are on the tracked list in `docs/1000.yaml` without a `decl`, and searching for `Mirsky` and `Dilworth` returns nothing.
Rather than introduce the partition machinery up front, this contributes the underlying fact, which is what any route to Mirsky needs and is independently useful for reasoning about graded and finite-dimensional orders.
### Design
Stated with `(· < ·)` rather than `(· ≤ ·)` so that it lives in the existing `[Preorder α]` section and needs no antisymmetry; in a partial order the two coincide for distinct elements. The hypothesis is `n ≠ ⊤` rather than a finiteness typeclass, which keeps it usable without extra assumptions — `height_strictMono` needs exactly that much.
### Proof
Three lines on `height_strictMono`, immediately above it in the same file.
### Verification
Compiles against `master` with no errors or warnings. `#print axioms` reports only `[propext, Classical.choice, Quot.sound]`. No new imports or definitions — `+11 -0` in one file.
### Disclosure
Written with AI assistance (Claude Opus 5) and checked against the Lean kernel; I have read the statement and proof before submitting. Happy to rename, or to restate as `IsAntichain (· ≤ ·)` in a `PartialOrder` section if that is preferred.
|
t-order
new-contributor
|
11/0 |
Mathlib/Order/KrullDimension.lean |
1 |
5 |
['github-actions', 'theebayuser'] |
nobody |
3-57198 3 days ago |
49-43053 49 days ago |
49-42774 49 days |
0 |
| 44271 |
mcdoll author:mcdoll |
chore(Analysis/Calculus): generalize `comp` lemmas to TVS |
Composition lemmas are true if the codomain is a topological vector space.
This PR also restructures the file into three sections: binary, ternary and iterate, with the variables declared in each section. Otherwise one would need new variables (or an unintuitive order) for the ternary lemma.
As a drive-by clean-up, we remove the implicit variables for the iterate lemmas.
---
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|
t-analysis |
59/39 |
Mathlib/Analysis/Calculus/FDeriv/Comp.lean,Mathlib/Analysis/Calculus/FDeriv/ContinuousAlternatingMap.lean |
2 |
1 |
['github-actions'] |
nobody |
3-56592 3 days ago |
3-57874 3 days ago |
3-58007 3 days |
1 |
| 40302 |
xroblot author:xroblot |
feat(Data/Nat/Digits): add digitsAppend API lemmas and List.mapIdx_replicate |
Adds some lemmas about `Nat.digitsAppend` and `List.mapIdx_replicate`:
These complete the basic API around `Nat.digitsAppend` (already in Mathlib) that is needed downstream to relate it to `Nat.digits` and to sums indexed via `List.mapIdx`.
:robot: This PR was extracted from the [SKW project](https://github.com/xroblot/SKW) by Claude. |
t-data |
55/0 |
Mathlib/Data/List/Indexes.lean,Mathlib/Data/Nat/Digits/Lemmas.lean |
2 |
11 |
['BoltonBailey', 'github-actions', 'mathlib-merge-conflicts', 'xroblot'] |
eric-wieser assignee:eric-wieser |
3-53374 3 days ago |
3-55688 3 days ago |
114-38161 114 days |
0 |
| 44275 |
seewoo5 author:seewoo5 |
feat(FourierTransform): linear equivariance |
---
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Linear equivariance of Fourier transform: `𝓕 (f ∘ A) w = |A.toLinearMap.det|⁻¹ • 𝓕 f (A.symm.adjoint w)`. Proof is essentially by change of variable. Originally written by Opus 5, with additional golfs by myself.
This was formalized while I was refactoring OpenAI's formalization on Cohn-Elkies bound and its optimal exponent. Note that one can generalize further (actually without much effort) to the case where the domain and codomain of `A` are different, by replacing determinant with [`LinearMap.normDet`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Analysis/InnerProductSpace/NormDet.html#LinearMap.normDet). But it seems that this would add a lot imports, and I may had to make a separate file (something like `Fourier/Linear.lean`?), but I'm not sure if this is a good idea. The general version can be found [here](https://github.com/seewoo5/cohn-elkies-refactor/blob/b5165ff7049114ce2c551f15b8c75d4aca5ab850/CohnElkiesForMathlib/Analysis/Fourier/FourierTransform.lean#L30). |
t-analysis
LLM-generated
|
18/0 |
Mathlib/Analysis/Fourier/FourierTransform.lean |
1 |
1 |
['github-actions'] |
nobody |
3-48415 3 days ago |
3-49763 3 days ago |
3-49533 3 days |
0 |
| 42453 |
Multramate author:Multramate |
feat(NumberTheory/EllipticDivisibilitySequence): prove that a normalised elliptic divisibility sequence is an elliptic sequence |
This is the updated version of #13155 and contains the proof that a sequence satisfying the even and odd elliptic relations (with mild additional conditions) is an elliptic net and hence an elliptic sequence. This is the main argument in [Section 2 of Junyan's paper](https://arxiv.org/pdf/2604.05280). Previously it was broken down into hundreds of lines of multiple lemmas but I was able to condense it into a single lemma with multiple `wlog`s that are hopefully self-explanatory.
Co-authored-by: Junyan Xu <junyanxu.math@gmail.com>
---
- [x] depends on: #42477
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[](https://gitpod.io/from-referrer/)
|
t-algebra
t-number-theory
large-import
label:t-algebra$ |
154/7 |
Mathlib/Algebra/Polynomial/Coeff.lean,Mathlib/NumberTheory/EllipticDivisibilitySequence.lean |
2 |
55 |
['Multramate', 'YaelDillies', 'alreadydone', 'copilot-pull-request-reviewer', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'riccardobrasca', 'tb65536'] |
riccardobrasca and tb65536 assignee:tb65536 assignee:riccardobrasca |
3-44806 3 days ago |
3-47528 3 days ago |
47-68853 47 days |
0 |
| 44276 |
justus-springer author:justus-springer |
doc(AlgebraicGeometry/AffineTransitionLimit): improve stacks tags |
---
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|
t-algebraic-geometry |
5/4 |
Mathlib/AlgebraicGeometry/AffineTransitionLimit.lean |
1 |
1 |
['github-actions'] |
nobody |
3-42618 3 days ago |
3-43598 3 days ago |
3-43319 3 days |
0 |
| 42781 |
alreadydone author:alreadydone |
feat(Algebra/Category): `AddCommGrpCat` is monoidal closed |
Co-authored-by: Aristotle (Harmonic) [aristotle-harmonic@harmonic.fun](mailto:aristotle-harmonic@harmonic.fun)
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
t-category-theory
label:t-algebra$ |
208/48 |
Mathlib.lean,Mathlib/Algebra/Category/Grp/Monoidal.lean,Mathlib/Algebra/Category/Grp/Yoneda.lean,Mathlib/Algebra/Category/Grp/ZModuleEquivalence.lean,Mathlib/Algebra/Category/ModuleCat/ChangeOfRings.lean,Mathlib/CategoryTheory/Monoidal/Closed/Basic.lean,Mathlib/LinearAlgebra/TensorProduct/Basic.lean |
7 |
31 |
['Whysoserioushah', 'alreadydone', 'github-actions', 'joelriou', 'mathlib-merge-conflicts', 'robin-carlier'] |
kim-em assignee:kim-em |
3-42006 3 days ago |
5-47209 5 days ago |
25-2182 25 days |
1 |
| 44223 |
farmanb author:farmanb |
feat(CategoryTheory/Subobject): kernels of pullbacks of subobjects |
feat(CategoryTheory/Subobject): kernels of pullbacks of subobjects
Adds `Subobject.le_pullback_of_comp_eq_zero`, `Subobject.ofLE_comp_pullbackπ_eq_zero`
and `Subobject.isLimitKernelForkPullbackπ`: for a morphism `f : X ⟶ Y` and subobjects
`x : X`, `y : Y`, if `x.arrow ≫ f = 0` then `x` is contained in the pullback of `y` along `f`,
the induced map into that pullback composed with `pullbackπ f y` vanishes, and if moreover
`x.arrow` is a kernel of `f` then that map is a kernel of `pullbackπ f y`.
These require only `[HasZeroMorphisms C]` and `[HasPullbacks C]`. Also imports
`Limits.Shapes.Kernels` directly, having previously relied on reaching it transitively.
---
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|
t-category-theory |
38/0 |
Mathlib/CategoryTheory/Subobject/Basic.lean |
1 |
1 |
['github-actions'] |
robin-carlier assignee:robin-carlier |
3-37714 3 days ago |
5-40948 5 days ago |
5-40669 5 days |
0 |
| 44029 |
seewoo5 author:seewoo5 |
feat(ModularForms): derivative of discriminant form |
---
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$\Delta' = E_2 \Delta$ and $\partial_{12} \Delta = 0$. From Sphere packing project, initially written by Claude.
(c.f. I thought that this would follow from Ramanujan formula and $\Delta = (E_4^3 - E_6^2)/1728$, until I (re-)realize that $E_2$ is defined as logarithmic derivative of Dedekind eta function and we have much shorter proof.)
[](https://gitpod.io/from-referrer/)
|
t-number-theory
LLM-generated
sphere-packing
|
25/1 |
Mathlib/NumberTheory/ModularForms/Discriminant.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
3-34937 3 days ago |
3-36475 3 days ago |
10-52008 10 days |
0 |
| 43977 |
joelriou author:joelriou |
feat(CategoryTheory/Limits): commutation of limits and colimits |
This PR adds some API about the commutation of limits and colimits. For example, if `C` has colimits of shape `K'` and limits of shape `K`, we show that the limit functor `lim : (K ⥤ C) ⥤ C` commutes with colimits of shape `K'` iff the colimit functor `colim : (K' ⥤ C) ⥤ C` commutes with limits of shape `K`.
We use this in order to prove that if `C` has exact colimits of shape `K'` then the full subcategory of `J ⥤ C` consisting of functors which commutes with colimits of shape `K'` is closed under finite limits and finite colimits.
---
I do not think it would make sense to split the file `Mathlib/CategoryTheory/ObjectProperty/FunctorCategory/PreservesLimits.lean` to reduce imports.
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[](https://gitpod.io/from-referrer/)
|
t-category-theory
tech debt
large-import
|
191/3 |
Mathlib/CategoryTheory/Limits/ColimitLimit.lean,Mathlib/CategoryTheory/ObjectProperty/ColimitsOfShape.lean,Mathlib/CategoryTheory/ObjectProperty/FunctorCategory/PreservesLimits.lean,Mathlib/CategoryTheory/ObjectProperty/LimitsOfShape.lean |
4 |
1 |
['github-actions'] |
nobody |
3-34604 3 days ago |
12-5041 12 days ago |
12-4765 12 days |
4 |
| 43611 |
grunweg author:grunweg |
chore(MonoidHom): make definitions take `MonoidHom` instead of `MonoidHomClass` |
---
Helps with #31365.
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[](https://gitpod.io/from-referrer/)
|
t-algebra
tech debt
label:t-algebra$ |
524/462 |
Mathlib/Algebra/Algebra/Hom.lean,Mathlib/Algebra/Algebra/Operations.lean,Mathlib/Algebra/Category/Ring/Constructions.lean,Mathlib/Algebra/Group/Invertible/Basic.lean,Mathlib/Algebra/Group/Pointwise/Finset/Basic.lean,Mathlib/Algebra/Group/Subgroup/Actions.lean,Mathlib/Algebra/Group/Submonoid/Membership.lean,Mathlib/Algebra/Group/Submonoid/Operations.lean,Mathlib/Algebra/Group/Submonoid/Pointwise.lean,Mathlib/Algebra/GroupWithZero/Hom.lean,Mathlib/Algebra/GroupWithZero/NonZeroDivisors.lean,Mathlib/Algebra/GroupWithZero/Range.lean,Mathlib/Algebra/GroupWithZero/Submonoid/Instances.lean,Mathlib/Algebra/GroupWithZero/Submonoid/Pointwise.lean,Mathlib/Algebra/Module/LocalizedModule/Basic.lean,Mathlib/Algebra/Module/LocalizedModule/IsLocalization.lean,Mathlib/Algebra/Module/Submodule/Ker.lean,Mathlib/Algebra/Module/Submodule/Map.lean,Mathlib/Algebra/Module/Submodule/Range.lean,Mathlib/Algebra/MvPolynomial/Invertible.lean,Mathlib/Algebra/Order/Star/Basic.lean,Mathlib/Algebra/Polynomial/Div.lean,Mathlib/Algebra/Polynomial/Splits.lean,Mathlib/Algebra/Ring/Equiv.lean,Mathlib/Algebra/Ring/Hom/Defs.lean,Mathlib/Algebra/SkewMonoidAlgebra/Basic.lean,Mathlib/Algebra/SkewMonoidAlgebra/Lift.lean,Mathlib/AlgebraicGeometry/IdealSheaf/Subscheme.lean,Mathlib/AlgebraicGeometry/StructureSheaf.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Basic.lean,Mathlib/Analysis/CStarAlgebra/Matrix.lean,Mathlib/Analysis/Normed/Group/Basic.lean,Mathlib/Analysis/Normed/Module/TransferInstance.lean,Mathlib/CategoryTheory/Monoidal/Cartesian/GrpLimits.lean,Mathlib/Data/Matrix/Basis.lean,Mathlib/Data/Rat/Star.lean,Mathlib/FieldTheory/KummerExtension.lean,Mathlib/FieldTheory/Laurent.lean,Mathlib/FieldTheory/RatFunc/Basic.lean,Mathlib/GroupTheory/FixedPointFree.lean,Mathlib/GroupTheory/MonoidLocalization/MonoidWithZero.lean,Mathlib/LinearAlgebra/CliffordAlgebra/BaseChange.lean,Mathlib/LinearAlgebra/CliffordAlgebra/SpinGroup.lean,Mathlib/LinearAlgebra/Dimension/Localization.lean,Mathlib/LinearAlgebra/ExteriorAlgebra/Basic.lean,Mathlib/LinearAlgebra/Matrix/NonsingularInverse.lean,Mathlib/LinearAlgebra/QuadraticForm/TensorProduct.lean,Mathlib/LinearAlgebra/RootSystem/Base.lean,Mathlib/ModelTheory/Arithmetic/Presburger/Semilinear/Defs.lean,Mathlib/NumberTheory/LocalField/Basic.lean,Mathlib/NumberTheory/NumberField/FractionalIdeal.lean,Mathlib/Order/Filter/Pointwise.lean,Mathlib/RepresentationTheory/Homological/GroupCohomology/Hilbert90.lean,Mathlib/RingTheory/Algebraic/Integral.lean,Mathlib/RingTheory/Artinian/Algebra.lean,Mathlib/RingTheory/ClassGroup/Basic.lean,Mathlib/RingTheory/DedekindDomain/Different.lean,Mathlib/RingTheory/DedekindDomain/Instances.lean,Mathlib/RingTheory/DedekindDomain/IntegralClosure.lean,Mathlib/RingTheory/DedekindDomain/PID.lean,Mathlib/RingTheory/EssentialFiniteness.lean,Mathlib/RingTheory/Etale/Basic.lean,Mathlib/RingTheory/Etale/Kaehler.lean,Mathlib/RingTheory/Etale/StandardEtale.lean,Mathlib/RingTheory/Extension/Basic.lean,Mathlib/RingTheory/Finiteness/FiniteTypeLocal.lean,Mathlib/RingTheory/FractionalIdeal/Extended.lean,Mathlib/RingTheory/FractionalIdeal/Operations.lean,Mathlib/RingTheory/Ideal/Maps.lean,Mathlib/RingTheory/Ideal/Norm/RelNorm.lean,Mathlib/RingTheory/IntegralClosure/IntegralRestrict.lean,Mathlib/RingTheory/Jacobson/Ring.lean,Mathlib/RingTheory/KrullDimension/Polynomial.lean,Mathlib/RingTheory/LocalProperties/Basic.lean,Mathlib/RingTheory/LocalRing/ResidueField/Ideal.lean,Mathlib/RingTheory/LocalRing/ResidueField/Polynomial.lean,Mathlib/RingTheory/Localization/Algebra.lean,Mathlib/RingTheory/Localization/AtPrime/Basic.lean,Mathlib/RingTheory/Localization/Away/Basic.lean,Mathlib/RingTheory/Localization/BaseChange.lean,Mathlib/RingTheory/Localization/Basic.lean,Mathlib/RingTheory/Localization/Defs.lean,Mathlib/RingTheory/Localization/Finiteness.lean,Mathlib/RingTheory/Localization/FractionRing.lean,Mathlib/RingTheory/Localization/Ideal.lean,Mathlib/RingTheory/Localization/Integral.lean,Mathlib/RingTheory/Localization/InvSubmonoid.lean,Mathlib/RingTheory/Localization/LocalizationLocalization.lean,Mathlib/RingTheory/Localization/Pi.lean,Mathlib/RingTheory/MvPolynomial/Localization.lean,Mathlib/RingTheory/OrderOfVanishing/Noetherian.lean,Mathlib/RingTheory/QuasiFinite/Basic.lean,Mathlib/RingTheory/RegularLocalRing/Polynomial.lean,Mathlib/RingTheory/RingHom/Finite.lean,Mathlib/RingTheory/RingHom/Locally.lean,Mathlib/RingTheory/RingHom/Surjective.lean,Mathlib/RingTheory/RootsOfUnity/Basic.lean,Mathlib/RingTheory/RootsOfUnity/PrimitiveRoots.lean,Mathlib/RingTheory/Smooth/Basic.lean,Mathlib/RingTheory/Smooth/Fiber.lean |
110 |
53 |
['github-actions', 'grunweg-bot', 'jjdishere', 'mathlib-merge-conflicts', 'themathqueen'] |
nobody |
3-34072 3 days ago |
5-19321 5 days ago |
6-30933 6 days |
1 |
| 38472 |
Raph-DG author:Raph-DG |
feat(AlgebraicGeometry): The Weil divisor associated to an element of the function field on a locally Noetherian integral scheme |
In this PR we define and provide some basic API for principal Weil divisors, i.e. the Weil divisor associated to an element of the function field of a locally noetherian, integral scheme.
- [x] depends on: #29774
- [x] depends on: #37985
- [x] depends on: #37901
- [x] depends on: #38002
- [x] depends on: #41317
---
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[](https://gitpod.io/from-referrer/)
|
t-algebraic-geometry |
209/2 |
Mathlib.lean,Mathlib/AlgebraicGeometry/AlgebraicCycle/Basic.lean,Mathlib/AlgebraicGeometry/AlgebraicCycle/Principal.lean,Mathlib/AlgebraicGeometry/Noetherian.lean,Mathlib/AlgebraicGeometry/OrderOfVanishing.lean,Mathlib/AlgebraicGeometry/Restrict.lean,Mathlib/Topology/LocallyFinsupp.lean |
7 |
13 |
['Brian-Nugent', 'Raph-DG', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
dagurtomas assignee:dagurtomas |
3-32158 3 days ago |
3-42935 3 days ago |
25-49800 25 days |
1 |
| 40953 |
ymonbru author:ymonbru |
feat: the definition of a KSheaf on a T2 Space |
This files adds the definition of a KSheaf on a T2 space with value in an arbitrary category.
One may expect this notion to come from sheaves on a site of compact subset of a topological space but there is no coresponding Grothendieck topology on compact subsets. In particular, this is because one of the axioms is in the form of a colimit and can't be expressed as a limit condition (hence a sheaf condition).
It also adds API that allow to use the axioms in a convenient way.
---
- [x] depends on: #40737
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-topology
|
137/0 |
Mathlib.lean,Mathlib/Topology/Sheaves/KSheaf.lean |
2 |
26 |
['Multramate', 'github-actions', 'joelriou', 'mathlib-dependent-issues', 'ymonbru'] |
joelriou assignee:joelriou |
3-31956 3 days ago |
6-2885 6 days ago |
87-40086 87 days |
1 |
| 43925 |
xroblot author:xroblot |
feat(Algebra/Field/Subfield): the map/comap Galois coinsertion |
A ring homomorphism out of a field is injective, so the existing Galois connection between `map` and `comap` on subfields is in fact a `GaloisCoinsertion`, added here as `Subfield.gciMapComap`, along with what it yields: `comap_surjective`, `map_injective`, `map_le_map_iff`, the compatibility of `comap` with `⊓`, `⊔`, `⨅` and `⨆`, and three lemmas on `comap` along `s.subtype`.
The same is done for `IntermediateField` and `AlgHom`, as `IntermediateField.gciMapComap`, together with the basic `comap` lemmas that were missing there.
Prepared with Claude Code 🤖
---
|
t-algebra label:t-algebra$ |
149/2 |
Mathlib/Algebra/Field/Subfield/Basic.lean,Mathlib/FieldTheory/IntermediateField/Adjoin/Defs.lean,Mathlib/FieldTheory/IntermediateField/Basic.lean |
3 |
3 |
['github-actions', 'tb65536', 'xroblot'] |
nobody |
3-30083 3 days ago |
13-28603 13 days ago |
13-44441 13 days |
1 |
| 43571 |
JovanGerb author:JovanGerb |
chore(CategoryTheory/Limits/Shapes/BinaryProducts): use `to_dual` |
This PR uses `to_dual` on binary products/coproducts.
- `BinaryFan.fst`/`snd` have been given a type manually so that the type is a simpler expression and doesn't involve `Functor.const`. This allows some `simp only` calls to now use fewer lemmas.
- `coprodComparison_inl` was renamed to `inl_coprodComparison`, which is a more accurate name (and some analogous ones). Various other naming inconsistencies are also fixed.
- As a result of aligning the APIs, some parameters changed from implicit to explicit, in particular `inl_coprodComparison` and `inr_coprodComparison`
- As a result of aligning the APIs, some declarations were generalized from `HasBinaryCoproducts _` to only the specific relevant `HasBinaryCoproduct _ _`, e.g. `coprod.leftUnitor` and `coprod.braiding`
---
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|
tech debt
t-category-theory
|
254/710 |
Mathlib/AlgebraicGeometry/Limits.lean,Mathlib/CategoryTheory/Discrete/Basic.lean,Mathlib/CategoryTheory/Extensive.lean,Mathlib/CategoryTheory/Functor/Basic.lean,Mathlib/CategoryTheory/Limits/Shapes/BinaryProducts/BinaryFan.lean,Mathlib/CategoryTheory/Limits/Shapes/BinaryProducts/BinaryProducts.lean,Mathlib/CategoryTheory/Limits/Shapes/BinaryProducts/ProdComparison.lean,Mathlib/CategoryTheory/Limits/Shapes/BinaryProducts/WalkingPair.lean,Mathlib/CategoryTheory/Limits/Shapes/CombinedProducts.lean,Mathlib/CategoryTheory/Limits/Shapes/Pullback/IsPullback/Basic.lean,Mathlib/CategoryTheory/Limits/Shapes/ZeroMorphisms.lean,Mathlib/CategoryTheory/Limits/Types/Coproducts.lean,Mathlib/CategoryTheory/Limits/VanKampen.lean,Mathlib/CategoryTheory/Monoidal/OfHasFiniteProducts.lean,Mathlib/CategoryTheory/NatIso.lean,Mathlib/Condensed/Light/Sequence.lean,Mathlib/Tactic/Translate/ToDual.lean |
17 |
5 |
['JovanGerb', 'github-actions', 'kim-em', 'mathlib-merge-conflicts'] |
nobody |
3-29832 3 days ago |
3-33043 3 days ago |
5-8546 5 days |
0 |
| 44122 |
joelcanary author:joelcanary |
feat(NumberTheory/LegendreSymbol): the quadratic character sum along … |
…an odd function vanishes
If `-1` is not a square in a finite field `F`, then for every odd `f : F → F` the sum `∑ x, quadraticChar F (f x)` is zero: reindexing by the involution `x ↦ -x` turns the sum into `quadraticChar F (-1)` times itself, so it equals its own negative.
Stated next to `quadraticChar_sum_zero`, which is the sum of the character over the whole field. `Function.Odd` is the predicate already in Mathlib; importing `Mathlib.Algebra.Group.EvenFunction` for it adds no module to the transitive closure (it was already reachable through `Mathlib.Data.ZMod.Basic`), the direct import only brings the name into scope.
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|
t-number-theory
new-contributor
LLM-generated
|
16/0 |
Mathlib/NumberTheory/LegendreSymbol/QuadraticChar/Basic.lean |
1 |
5 |
['github-actions', 'joelcanary', 'mathlib-merge-conflicts', 'wwylele'] |
nobody |
3-29194 3 days ago |
3-30654 3 days ago |
8-31677 8 days |
0 |
| 43749 |
joelcanary author:joelcanary |
feat(NumberTheory/ArithmeticFunction): prodPrimeFactors_one_sub for every n |
`IsMultiplicative.prodPrimeFactors_one_sub_of_squarefree` gives
```
∏ p ∈ n.primeFactors, (1 - f p) = ∑ d ∈ n.divisors, μ d * f d
```
only for squarefree `n`. The hypothesis is not needed: the summands with `d` not squarefree vanish (`μ d = 0`), and the squarefree divisors of `n` are exactly the divisors of `∏ p ∈ n.primeFactors, p`, which is squarefree with the same prime factors. So the general statement reduces to the squarefree one.
This PR
- adds `IsMultiplicative.prodPrimeFactors_one_sub`, the identity for every `n ≠ 0`, with the same orientation and naming as the existing lemma;
- deprecates `IsMultiplicative.prodPrimeFactors_one_sub_of_squarefree` in favour of it (as requested in review), and inlines its proof.
No new imports and no new auxiliary lemmas: the fact that a squarefree divisor of `n` divides `∏ p ∈ n.primeFactors, p` is `Nat.prod_primeFactors_dvd_iff` + `Nat.primeFactors_prod_primeFactors` + `Nat.primeFactors_mono`, used in place. The file builds and `lake exe lint-style` is clean on current master.
**AI use disclosure.** I used an AI tool (an agent running on my machine) to write the Lean code and this description. I set the goal (drop the squarefree hypothesis), reviewed every declaration, and checked the branch locally with `lake build` and `lake exe lint-style` before each push. I will answer review questions myself.
|
t-number-theory
new-contributor
LLM-generated
|
38/9 |
Mathlib/NumberTheory/ArithmeticFunction/Moebius.lean,Mathlib/NumberTheory/SelbergSieve.lean |
2 |
9 |
['github-actions', 'joelcanary', 'wwylele'] |
nobody |
3-28285 3 days ago |
19-35182 19 days ago |
19-34903 19 days |
0 |
| 43758 |
joelcanary author:joelcanary |
feat(NumberTheory/ArithmeticFunction): the Redheffer determinant equals the Mertens function |
This PR adds the zeta (divisibility) matrix, the Redheffer matrix and the Mertens function, and proves **Redheffer's theorem** (1977): the determinant of the `(n+1) × (n+1)` Redheffer matrix equals the Mertens function `M(n+1) = ∑_{k ≤ n+1} μ(k)`.
In `Mathlib/NumberTheory/ArithmeticFunction/Moebius.lean`:
- `ArithmeticFunction.sum_divisors_moebius (k) : ∑ d ∈ k.divisors, μ d = if k = 1 then 1 else 0`, the pointwise form of `moebius_mul_coe_zeta`.
New file `Mathlib/NumberTheory/ArithmeticFunction/Redheffer.lean`:
- `ArithmeticFunction.mertens : ArithmeticFunction ℤ`, the summatory function of `μ`, with `mertens_apply : mertens n = ∑ k ∈ Icc 1 n, μ k`, `mertens_one`, `mertens_add_one` and `mertens_eq_sum_fin` (the `0`-based form `∑ i : Fin n, μ (i + 1)` used on the matrix side);
- `Matrix.zetaMatrix R n : Matrix (Fin n) (Fin n) R` for any `R` with `0` and `1` (entry `1` iff `i + 1 ∣ j + 1`), with `zetaMatrix_apply` (simp), `zetaMatrix_isUpperTriangular` and, for `CommRing R`, `det_zetaMatrix : det = 1`;
- `Matrix.redheffer R n` (the zeta matrix with its first column set to ones), with `redheffer_apply` (simp) and `redheffer_eq_updateCol`;
- `Matrix.det_redheffer (n) : (redheffer R (n + 1)).det = mertens (n + 1)` for any `CommRing R` (with `mertens` cast into `R`);
- `Nat.sum_fin_dvd_eq_sum_divisors`, the reindexing `∑ x : Fin n, (if x + 1 ∣ m then f (x + 1) else 0) = ∑ d ∈ m.divisors, f d` for `0 < m ≤ n`, which is what turns the matrix product into a divisor sum.
Proof sketch: by linearity of `det` in the first column, `det (redheffer R (n+1)) = det (zetaMatrix R (n+1)) + det (zetaMatrix with first column (0,1,…,1))`. The first term is `1`; by Cramer's rule (`det_smul_inv_mulVec_eq_cramer`) the second is the first row of the inverse of the zeta matrix dotted with `(0,1,…,1)`, and that row is `(μ 1, …, μ (n+1))` because `μ * ζ = 1` (`moebius_mul_coe_zeta`, via `sum_divisors_moebius`). The remaining sum `μ 2 + ⋯ + μ (n+1)` is `mertens (n+1) - 1`.
The ring `R` is an explicit argument of `zetaMatrix` and `redheffer` since nothing else determines it. Neither the Mertens function nor the Redheffer matrix currently appear in Mathlib. The new file imports only `LinearAlgebra.Matrix.Block` and `NumberTheory.ArithmeticFunction.Moebius`. Reference added to `docs/references.bib` (`redheffer1977`).
AI use: the Lean code and this description were written with an AI agent (Claude) under my direction, from a proof in my own project; I reviewed every declaration, and the branch was checked locally with `lake build`, `lake exe lint-style` and `lake exe runLinter` before each push. |
t-number-theory
new-contributor
LLM-generated
|
236/0 |
Mathlib.lean,Mathlib/NumberTheory/ArithmeticFunction/Moebius.lean,Mathlib/NumberTheory/ArithmeticFunction/Redheffer.lean,docs/references.bib |
4 |
15 |
['Parcly-Taxel', 'github-actions', 'joelcanary', 'wwylele'] |
nobody |
3-27512 3 days ago |
13-40352 13 days ago |
19-14080 19 days |
2 |
| 43910 |
vlad902 author:vlad902 |
feat(AffineSpace): exists affinely independent set of a cardinality dim + 1 |
Currently, `exists_affineIndependent` establishes for any set `s` that there exists a subset with equal affine span that is affinely indepedent. Further refine that statement to show that for finite dimensional spaces that this set always has cardinality equal to the affine dimension + 1.
---
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|
t-algebra label:t-algebra$ |
41/3 |
Mathlib/LinearAlgebra/AffineSpace/FiniteDimensional.lean,Mathlib/LinearAlgebra/AffineSpace/Independent.lean |
2 |
4 |
['YaelDillies', 'github-actions', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
3-27261 3 days ago |
3-30286 3 days ago |
13-58835 13 days |
0 |
| 41306 |
vlad902 author:vlad902 |
feat(SimpleGraph): reduce CycleGraph imports |
Reduce the imports for CycleGraph.lean and re-prove and move a few lemmas around as a result.
---
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|
t-combinatorics |
49/26 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean,Mathlib/Combinatorics/SimpleGraph/CycleGraph.lean,Mathlib/Combinatorics/SimpleGraph/Hasse.lean |
4 |
31 |
['SnirBroshi', 'github-actions', 'mathlib-merge-conflicts', 'vlad902'] |
SnirBroshi assignee:SnirBroshi |
3-27167 3 days ago |
3-29164 3 days ago |
86-6178 86 days |
0 |
| 43042 |
grunweg author:grunweg |
feat: `ContMDiff.clm_bundle_of_apply` and friends |
Future PRs will add versions of these allowing for the loss of derivatives:
let's start with these versions as the required modifications are straight-
forward.
We add the analogous lemmas for differentiability also (and comment when this requires further work out of this PR's scope).
From the path towards smoothness of the Levi-Civita connection and Riemannian geometry.
Co-authored-by: Patrick Massot <patrickmassot@free.fr>
---
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|
t-differential-geometry |
136/2 |
Mathlib/Geometry/Manifold/VectorBundle/Hom.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
3-27010 3 days ago |
3-29104 3 days ago |
40-27870 40 days |
1 |
| 40727 |
pepamontero author:pepamontero |
feat(Geometry/Manifold/Instances/Quotient): quotients of manifolds by smooth free properly discontinuous group actions are manifolds |
Add smooth manifold structure on orbit space `orbitRel.Quotient G M`.
This PR is a follow-up to #35653, which equipped `orbitRel.Quotient G M` with a `ChartedSpace` structure. Here we promote that to an `IsManifold I n` instance, assuming M itself is an `IsManifold I n` and `G` acts by
`ContMDiffConstSMul`.
This PR:
* Changes the charted space instance to use `IsLocalHomeomorph.chartedSpaceOfRightInverse` applied to `Quotient.out_eq`, so the charts come from an explicit local section `orbitRel.Quotient.localInverseAt x` of the quotient map at `x.out`.
* Adds some API on `localInverseAt` that is only relevant when we have an action (`localInverseAt_apply_mk_eq_smul`, `localInverseAt_symm_trans_eqOn_smul`, `exists_smul_mem_localInverseAt_target`)
* Defines the `transitionMap` between the charts of the quotient, and adds `transitionMap_locally_smul` which shows each transition map agrees near any point with `φ x⁻¹ ≫ (g • ·) ≫ φ y` for a single `g : G`.
* Uses the above to prove `isManifold_quotient_of_contMDiffSMul`.
**Questions for reviewers**:
1. Should the acting group be `Γ` rather than `G`? Here `G` has no topology, and in other files `Γ` is used in this case.
2. Should `localInverseAt` be a `def` instead of an `abbrev`? It is an `abbrev` because there is already API for `IsLocalHomeomorph.localInverseAt` that I need.
3. Is changing the `ChartedSpace` instance to `Quotient.out` the right decision?
4. Should I write a definition for `(chartAt H x.out).symm ≫ₕ (g • ·) ≫ₕ chartAt H y.out` , similar to `transitionMap`?
This started as an ItaLean2025 project; here is the [Zulip thread](https://leanprover.zulipchat.com/#narrow/channel/541885-ItaLean-2025/topic/Projects.3A.20Quotient.20Manifolds/with/575121158) dedicated to it.
Co-authored by: Enrique Díaz Blanco <qdiazblanco@gmail.com>
Co-authored by: Archie Browne <ajb421@ic.ac.uk>
--------
- [x] depends on: #41832
- [x] depends on: #41835
- [x] depends on: #42436
- [x] depends on: #42502
- [x] depends on: #41534
- [x] depends on: #43717 |
new-contributor
large-import
t-differential-geometry
|
138/5 |
Mathlib/Geometry/Manifold/Instances/Quotient.lean |
1 |
50 |
['Deicyde', 'github-actions', 'grunweg', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'pepamontero', 'scholzhannah'] |
grunweg assignee:grunweg |
3-26965 3 days ago |
16-617 16 days ago |
44-11067 44 days |
0 |
| 37907 |
grunweg author:grunweg |
feat(by_contra,contrapose): warn if the push_neg step does nothing |
---
- [x] depends on: #31597
- [x] depends on: #37899
- [x] depends on: #37937
- [x] depends on: #37999
- [x] depends on: #38008
- [x] depends on: #43999
- [x] depends on: #44084
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|
t-meta
tech debt
|
62/12 |
Mathlib/Tactic/ByCases.lean,Mathlib/Tactic/ByContra.lean,Mathlib/Tactic/Contrapose.lean,Mathlib/Tactic/Order.lean,MathlibTest/Tactic/ByContra.lean,MathlibTest/Tactic/Contrapose.lean,MathlibTest/Tactic/Order.lean |
7 |
11 |
['SnirBroshi', 'github-actions', 'grunweg', 'joneugster', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
joneugster assignee:joneugster |
3-26474 3 days ago |
3-32265 3 days ago |
8-12718 8 days |
0 |
| 44228 |
Nicola9Falciola author:Nicola9Falciola |
feat(LinearAlgebra/Matrix/Transvection): add the api for define the elementary subgroup |
---
This PR adds API for transvections, needed to define the elementary subgroup `E(n, R)` of
`SL(n, R)` in a follow-up PR.
In `Mathlib/LinearAlgebra/Matrix/Transvection.lean`:
- `Matrix.map_transvection`: `(transvection i j c).map f = transvection i j (f c)`
- `Matrix.transvection_mul_transvection_mul_transvection_neg_mul_transvection_neg`:
the explicit formula for writing the commutator of transvections
- `Matrix.TransvectionStruct.reindexEquiv_surjective`
- `Matrix.TransvectionStruct.map`: apply a ring hom to the coefficient, with `map_toMatrix`,
`map_surjective` and `toMatrix_mem_range_map`
In `Mathlib/LinearAlgebra/Matrix/SpecialLinearGroup.lean`:
- `SpecialLinearGroup.sumInl`: the embedding `SL(n, R) →* SL(n ⊕ p, R)`, `A ↦ !![A, 0; 0, 1]`,
with `coe_sumInl`, this will be necessary for induction argument over the index type.
- `SpecialLinearGroup.commutatorElement_transvection`:
`⁅transvection hij a, transvection hjk b⁆ = transvection hik (a * b)`
- `SpecialLinearGroup.map_transvection`
- `TransvectionStruct.map_toSpecialLinearGroup`, `toSpecialLinearGroup_mem_range_map`,
`sumInl_toSpecialLinearGroup`,
`coe_list_prod_toSpecialLinearGroup`, and `mem_range_sumInl_iff`
The surjective and `SpecialLinearGroup.sumInl` API will be needed to simplify the arguments involving
proving `E(n, R) = SL(n, R)` .
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|
t-algebra label:t-algebra$ |
116/1 |
Mathlib/LinearAlgebra/Matrix/SpecialLinearGroup.lean,Mathlib/LinearAlgebra/Matrix/Transvection.lean |
2 |
2 |
['github-actions'] |
nobody |
3-25231 3 days ago |
3-29711 3 days ago |
5-34504 5 days |
1 |
| 44072 |
yuanyi-350 author:yuanyi-350 |
feat(Analysis/Normed/Order): generalize distance lemmas to solid norms |
Generalize the distance lemmas for finite products of reals to normed lattice-ordered additive groups with a solid norm.
Add the instances needed so that the generalized lemmas apply directly to `ℝ`, finite products `ι → ℝ`, and `EuclideanSpace ℝ`. |
t-analysis |
55/32 |
Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Analysis/Normed/Order/Lattice.lean,Mathlib/Analysis/Normed/Order/UpperLower.lean |
3 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
3-25136 3 days ago |
3-27586 3 days ago |
9-16903 9 days |
0 |
| 44199 |
emlis42 author:emlis42 |
feat(Order): add `EReal.coe_cs{Sup, Inf}` |
This PR adds `WithTop.leftOrdContinuous_coe`, and adds `WithBotTop` and `EReal` version and `EReal.coe_c{s, i}{Sup, Inf}` as consequences.
Discussed here: [Is there code for X? > Lemmas relating `Real.toEReal` and `sSup`/`sInf` of images](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Lemmas.20relating.20.60Real.2EtoEReal.60.20and.20.60sSup.60.2F.60sInf.60.20of.20images/with/626667637) |
t-order |
93/0 |
Mathlib/Data/EReal/Operations.lean,Mathlib/Order/CompleteLatticeIntervals.lean,Mathlib/Order/OrdContinuous.lean |
3 |
4 |
['SnirBroshi', 'emlis42', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
3-24916 3 days ago |
3-28365 3 days ago |
6-6909 6 days |
0 |
| 44270 |
JovanGerb author:JovanGerb |
feat(Translate): implementation of `to_dual_for` command |
This PR introduced `to_dual_for`, a command that adds a translation for a given constant. It gives two benefits:
- When a translation has to be added just to make `to_dual` work, it is much more convenient to do so with `to_dual_for`
- When you want to translate a definition to another definition but this is not possible because a proof argument does not match up, you can now use `to_dual_for` to do the translation, which was previously not possible. This is because `to_dual_for` lets you translate to an arbitrary expression, rather than to a constant.
This is in particular useful for `Cone.ext`/`Cocone.ext`
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|
t-meta |
99/22 |
Mathlib/Tactic/Translate/Core.lean,Mathlib/Tactic/Translate/Expr.lean,Mathlib/Tactic/Translate/ToDual.lean,MathlibTest/Attribute/ToAdditive/Basic.lean,MathlibTest/Attribute/ToDual.lean |
5 |
1 |
['github-actions'] |
nobody |
3-24866 3 days ago |
3-60139 3 days ago |
3-59860 3 days |
0 |
| 43750 |
JovanGerb author:JovanGerb |
feat(Translate): command for adding a translation |
This PR introduced `to_dual_for`, a command that adds a translation for a given constant. It gives two benefits:
- When a translation has to be added just to make `to_dual` work, it is much more convenient to do so with `to_dual_for`
- When you want to translate a definition to another definition but this is not possible because a proof argument does not match up, you can now use `to_dual_for` to do the translation, which was previously not possible. This is because `to_dual_for` lets you translate to an arbitrary expression, rather than to a constant.
This is in particular useful for `Cone.ext`/`Cocone.ext`
I am not sure what the command should be called. I considered the potential names `to_dual_exising` or just plain `to_dual`, but I thought those might cause confusion with the attribute syntax we already have.
This PR removes some declarations without deprecations. I claim that this is acceptable because all of the removed declarations were added just to make `to_dual` work and haven't been used for anything else.
By the way, maybe it's becoming time to split the file Mathlib.Tactic.Translate.Core?
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t-meta |
157/200 |
Mathlib/CategoryTheory/Category/Basic.lean,Mathlib/CategoryTheory/CommSq.lean,Mathlib/CategoryTheory/Comma/Arrow.lean,Mathlib/CategoryTheory/Comma/Basic.lean,Mathlib/CategoryTheory/Discrete/Basic.lean,Mathlib/CategoryTheory/EqToHom.lean,Mathlib/CategoryTheory/Equivalence.lean,Mathlib/CategoryTheory/Functor/Category.lean,Mathlib/CategoryTheory/Iso.lean,Mathlib/CategoryTheory/Limits/Cones.lean,Mathlib/CategoryTheory/Limits/Shapes/Products.lean,Mathlib/CategoryTheory/NatTrans.lean,Mathlib/CategoryTheory/Preadditive/Injective/Basic.lean,Mathlib/Data/Prod/Lex.lean,Mathlib/Order/Basic.lean,Mathlib/Order/Interval/Finset/Defs.lean,Mathlib/Order/Lattice.lean,Mathlib/Tactic/Translate/Core.lean,Mathlib/Tactic/Translate/Expr.lean,Mathlib/Tactic/Translate/ToDual.lean,MathlibTest/Attribute/ToAdditive/Basic.lean |
21 |
18 |
['JovanGerb', 'SnirBroshi', 'github-actions', 'hawkrobe', 'kim-em', 'mathlib-merge-conflicts'] |
nobody |
3-24585 3 days ago |
7-31846 7 days ago |
17-28225 17 days |
2 |
| 44093 |
grunweg author:grunweg |
chore: fix more congruence lemmas |
A `congr` should vary all its explicit arguments, not just some of them. This issue is documented on the docstring of the `@[congr]` attribute, but there is no warning when you write a bad `@[congr]` lemma.
Whenever a lemma seemed used sufficiently often, we fixed the congruence lemma by adding a new variant, with a primed name and the additional arguments varied also.
Found by the linter in #43692; these should be all remaining bad lemmas in mathlib.
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|
t-algebra
tech debt
label:t-algebra$ |
74/38 |
Mathlib/Algebra/MonoidAlgebra/Module.lean,Mathlib/Data/Finset/Filter.lean,Mathlib/Data/Finset/Fold.lean,Mathlib/Data/Finsupp/Basic.lean,Mathlib/Data/List/Basic.lean,Mathlib/Data/List/Find.lean,Mathlib/Data/List/Zip.lean,Mathlib/Data/Multiset/Bind.lean,Mathlib/Data/Multiset/Filter.lean,Mathlib/Data/Multiset/Find.lean,Mathlib/Data/Set/Image.lean,Mathlib/Data/Set/NAry.lean,Mathlib/Data/Sym/Basic.lean,Mathlib/Data/Sym/Card.lean,Mathlib/Data/Sym/Sym2.lean,Mathlib/Geometry/Convex/ConvexSpace/Defs.lean,Mathlib/LinearAlgebra/Finsupp/Supported.lean,Mathlib/LinearAlgebra/QuadraticForm/Signature.lean |
18 |
5 |
['github-actions', 'grunweg', 'j-loreaux', 'mathlib-merge-conflicts'] |
nobody |
3-23812 3 days ago |
3-29833 3 days ago |
6-25110 6 days |
0 |
| 41478 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Paths): more length upper bounds |
Bound the lengths of trails/paths/circuits/cycles by `ENat.card V`/`Nat.card V`/`G.edgeSet.encard`/`G.edgeSet.ncard`.
---
I then used these to slightly golf some other lemmas.
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|
t-combinatorics |
38/28 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean |
1 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
3-22320 3 days ago |
3-23442 3 days ago |
48-2852 48 days |
0 |
| 43015 |
tb65536 author:tb65536 |
refactor(Analysis/Normed/Unbundled/SpectralNorm): extract, generalize, and golf uniqueness of power-multiplicative norms |
This PR extracts uniqueness of power-multiplicative norms to a separate file so that it can be used in a non-archimedean context.
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|
t-analysis |
65/68 |
Mathlib.lean,Mathlib/Analysis/Normed/Unbundled/IsPowMulUnique.lean,Mathlib/Analysis/Normed/Unbundled/SpectralNorm.lean |
3 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
3-22146 3 days ago |
3-23202 3 days ago |
41-16690 41 days |
1 |
| 43332 |
SnirBroshi author:SnirBroshi |
feat(SimpleGraph/Walk/Basic): walks with equal support have equal darts |
and similar statements:
- `p.darts = q.darts ↔ p.support = q.support` (equal)
- `p.darts <:+: q.darts ↔ p.support <:+: q.support` (infix)
- `p.darts <+: q.darts ↔ p.support <+: q.support` (prefix)
- `p.darts <:+ q.darts ↔ p.support <:+ q.support` (suffix)
---
I hope the review process can help golf these or find better proofs.
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t-combinatorics |
71/7 |
Mathlib/Combinatorics/SimpleGraph/Walk/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Operations.lean |
2 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
3-21332 3 days ago |
3-22704 3 days ago |
29-40273 29 days |
0 |
| 41260 |
SnirBroshi author:SnirBroshi |
feat(GroupTheory/Exponent): the order of a group divides a power of its exponent |
For finite groups:
- `(Monoid.exponent G).primeFactors = (Nat.card G).primeFactors`
- `Nat.card G ∣ Monoid.exponent G ^ Nat.card G`
---
This requires importing Cauchy's theorem (`GroupTheory.Perm.Cycle.Type`) in `Exponent.lean` which I'm not sure about, but the alternatives are either moving the theorems to `PGroup.lean`, or creating a new file with a strange name like `ExponentLemmas.lean`.
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t-group-theory
large-import
|
27/3 |
Mathlib/GroupTheory/Exponent.lean,Mathlib/GroupTheory/Perm/Cycle/Type.lean |
2 |
14 |
['SnirBroshi', 'github-actions', 'mathlib-merge-conflicts', 'ocfnash', 'tb65536'] |
riccardobrasca assignee:riccardobrasca |
3-20510 3 days ago |
3-22423 3 days ago |
91-5639 91 days |
0 |
| 44224 |
grunweg author:grunweg |
chore: small golfs using fun_prop |
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|
t-analysis |
17/21 |
Mathlib/Analysis/SpecialFunctions/Log/Basic.lean,Mathlib/Analysis/SpecialFunctions/Pow/Continuity.lean |
2 |
10 |
['JovanGerb', 'github-actions', 'grunweg', 'themathqueen'] |
nobody |
3-19916 3 days ago |
5-39405 5 days ago |
5-39126 5 days |
2 |
| 43525 |
EtienneC30 author:EtienneC30 |
feat: tag `Function.leftLim` with `to_dual` |
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|
t-meta
t-topology
maintainer-merge
|
129/430 |
Mathlib/Tactic/Translate/ToDual.lean,Mathlib/Topology/EMetricSpace/BoundedVariation.lean,Mathlib/Topology/Order/DenselyOrdered.lean,Mathlib/Topology/Order/LeftRightLim.lean,Mathlib/Topology/Order/LeftRightNhds.lean,Mathlib/Topology/Order/Monotone.lean |
6 |
22 |
['EtienneC30', 'JovanGerb', 'github-actions'] |
nobody |
3-19601 3 days ago |
16-54671 16 days ago |
16-54392 16 days |
0 |
| 43895 |
joelriou author:joelriou |
feat(CategoryTheory): the external product of two Guitart exact squares is Guitart exact |
---
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|
t-category-theory
tech debt
|
172/139 |
Mathlib.lean,Mathlib/CategoryTheory/Adjunction/Mates.lean,Mathlib/CategoryTheory/Comma/StructuredArrow/Basic.lean,Mathlib/CategoryTheory/Functor/TwoSquare.lean,Mathlib/CategoryTheory/GuitartExact/Basic.lean,Mathlib/CategoryTheory/GuitartExact/HorizontalComposition.lean,Mathlib/CategoryTheory/GuitartExact/KanExtension.lean,Mathlib/CategoryTheory/GuitartExact/Opposite.lean,Mathlib/CategoryTheory/GuitartExact/Over.lean,Mathlib/CategoryTheory/GuitartExact/Prod.lean,Mathlib/CategoryTheory/GuitartExact/VerticalComposition.lean,Mathlib/CategoryTheory/Monoidal/Closed/Functor.lean |
12 |
8 |
['Multramate', 'github-actions', 'joelriou', 'mathlib-merge-conflicts', 'robin-carlier'] |
dagurtomas assignee:dagurtomas |
3-19432 3 days ago |
3-21340 3 days ago |
13-81558 13 days |
1 |
| 40472 |
karlesmarin author:karlesmarin |
feat(Combinatorics/SimpleGraph): oriented incidence matrix |
Defines the oriented incidence matrix `SimpleGraph.orientedIncMatrix` of a simple graph on a linearly ordered vertex type, with each edge oriented from its smaller to its larger endpoint, and proves `orientedIncMatrix_mul_transpose : N * Nᵀ = G.lapMatrix R`.
This covers, for a fixed orientation, the second TODO in `Mathlib/Combinatorics/SimpleGraph/IncMatrix.lean`.
Written with the help of an LLM (Claude).
|
new-contributor
LLM-generated
t-combinatorics
|
157/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/OrientedIncMatrix.lean |
2 |
21 |
['SnirBroshi', 'github-actions', 'karlesmarin'] |
nobody |
3-18293 3 days ago |
4-11636 4 days ago |
111-38690 111 days |
0 |
| 44294 |
harahu author:harahu |
doc(RepresentationTheory): add module doc headers for Action and Equiv |
Add H1 module doc headers for `Mathlib/RepresentationTheory/Action.lean` and `Mathlib/RepresentationTheory/Equiv.lean`.
Split out from #42795 to allow the mechanical header cleanups to be merged separately.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
5/1 |
Mathlib/RepresentationTheory/Action.lean,Mathlib/RepresentationTheory/Equiv.lean |
2 |
1 |
['github-actions'] |
nobody |
3-17668 3 days ago |
3-18473 3 days ago |
3-18194 3 days |
0 |
| 37298 |
artie2000 author:artie2000 |
refactor(Algebra/Order): unbundle group and ring cone |
* Unbundle `GroupCone` and `RingCone` using `Submonoid.IsMulPointed`
This PR deprecates the [GroupCone](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Algebra/Order/Group/Cone.html#GroupCone) and [RingCone](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Algebra/Order/Ring/Cone.html#RingCone) structures, making use of the predicates `Submonoid.IsMulPointed` and `AddSubmonoid.IsPointed` defined in that file instead.
These predicates allow us to treat uniformly
* positive cones in groups and rings
* pointed cones in vector spaces over an ordered field
* orderings in rings
This reduces duplication of theorems.
Unbundling group and ring cones is further justified by the principle that there are no new operations on them: they correspond to operations on the underlying submonoids and subsemirings, respectively. See the discussion at https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/When.20should.20subobjects.20be.20bundled.3F/with/609099816
See also #36863 for the analogous change to ring orderings.
---
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|
t-algebra
large-import
increases-technical-debt
maintainer-merge
label:t-algebra$ |
127/29 |
Mathlib/Algebra/Group/Submonoid/Support.lean,Mathlib/Algebra/Order/Group/Cone.lean,Mathlib/Algebra/Order/Ring/Cone.lean |
3 |
37 |
['Vierkantor', 'YaelDillies', 'artie2000', 'github-actions', 'joneugster', 'mathlib-merge-conflicts'] |
nobody |
3-17664 3 days ago |
3-19028 3 days ago |
65-37624 65 days |
1 |
| 43528 |
joelriou author:joelriou |
feat(Geometry/Convex): the simplicial set of affine simplices of a convex space |
Let `Y` be a `R`-convex space. In this file, we introduce the simplicial set `toSSet R Y` whose `n`-simplices are affine maps from the standard `n`-dimensional simplex to `Y`. (When `R := ℝ` and `Y` has a suitable topology, this identifies to a subcomplex of the singular simplicial set of the topological space `Y`.)
From https://github.com/joelriou/excision
---
- [x] depends on: #43524
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[](https://gitpod.io/from-referrer/)
|
t-convex-geometry |
188/0 |
Mathlib.lean,Mathlib/AlgebraicTopology/SimplexCategory/Basic.lean,Mathlib/Geometry/Convex/ConvexSpace/ToSSet.lean |
3 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
3-15502 3 days ago |
14-34357 14 days ago |
14-34994 14 days |
0 |
| 44158 |
Vierkantor author:Vierkantor |
feat(Linter/Header): allow enabling Verso before module doc |
This PR allows four specific `set_option` commands to come between the imports and the main module doc, without complaints from the header linter. The options are:
* `doc.verso`
* `doc.verso.module`
* `doc.verso.suggestions`
* `linter.style.header`
These `verso` options control the parsing of module docs in the current file and so have to come before module docs.
I decided to implement the change by extending the import parser into an `allowedHeaderParser` which accepts import lines (using `ParseImportsFast`'s import parser) followed by those `set_option` commands (using a parser that does nothing with the import parsing state except maybe report errors: the import parsing state is thrown away anyway by the header linter). This seems the least invasive compared to the existing check, but maybe there's a different (more efficient?) way to go about it.
---
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|
t-linter
documentation
maintainer-merge
|
111/8 |
Mathlib/Tactic/Linter/Header.lean,MathlibTest/DirectoryDependencyLinter/Test.lean,MathlibTest/Linter/Header/Basic.lean,MathlibTest/Linter/Header/Fail.lean,MathlibTest/Linter/Header/SetOptionFail.lean,MathlibTest/Linter/Header/Verso.lean |
6 |
18 |
['Vierkantor', 'github-actions', 'leanprover-radar', 'thorimur'] |
thorimur assignee:thorimur |
3-10556 3 days ago |
3-25232 3 days ago |
3-32049 3 days |
1 |
| 42649 |
vlad902 author:vlad902 |
chore(RingTheory): delete outdated `proof_wanted` |
[`MvPolynomial.ringKrullDim_of_isNoetherianRing`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/RingTheory/KrullDimension/Polynomial.html#MvPolynomial.ringKrullDim_of_isNoetherianRing) was added two years after this `proof_wanted` and is nearly identical. The difference is that it is defined for arbitrary index sets instead of `Fin` and for `CommRing` instead of `CommSemiring`. This is an artifact of `Ideal.height` being defined for `CommRing`s and `ringKrullDim` for `CommSemiring`s. Otherwise I think the original intention of this `proof_wanted` has already been satisfied.
---
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[](https://gitpod.io/from-referrer/)
|
file-removed
t-ring-theory
|
0/16 |
Wanted.lean,Wanted/RingTheory/KrullDimension/Basic.lean |
2 |
1 |
['artie2000', 'github-actions'] |
nobody |
3-5300 3 days ago |
51-28157 51 days ago |
51-27878 51 days |
0 |
| 44060 |
wwylele author:wwylele |
feat(Geometry/Euclidean): lemma about excenters and volumes |
This proves that volume = inradius * surface / n
---
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[](https://gitpod.io/from-referrer/)
|
t-euclidean-geometry
maintainer-merge
|
112/0 |
Mathlib.lean,Mathlib/Geometry/Euclidean/Volume/Incenter.lean |
2 |
8 |
['SnirBroshi', 'copilot-pull-request-reviewer', 'github-actions', 'jsm28', 'wwylele'] |
jsm28 assignee:jsm28 |
3-404 3 days ago |
9-72879 9 days ago |
9-72600 9 days |
2 |
| 42874 |
teorth author:teorth |
feat(RingTheory/MvPolynomial/Symmetric): basic API lemmas for Multiset.esymm |
Add basic lemmas for the elementary symmetric functions `Multiset.esymm`: `esymm_cons`, `esymm_zero`, `esymm_one`, `esymm_card`, `esymm_eq_zero_of_card_lt`, `two_mul_esymm_two`, and `esymm_map_inv` (with a private auxiliary). Also drop the redundant `@[simp]` on `esymm_pair_one`, which is now provable by `simp` from `esymm_one`.
---
The code here was prepared with AI assistance, but then golfed and reviewed by myself. It will be used in a forthcoming PR on the Newton and Maclaurin inequalities.
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
32/0 |
Mathlib/RingTheory/MvPolynomial/Symmetric/Defs.lean |
1 |
8 |
['felixpernegger', 'github-actions', 'teorth', 'vlad902'] |
nobody |
2-80074 2 days ago |
2-81268 2 days ago |
3-84711 3 days |
1 |
| 44269 |
ROTARTSI82 author:ROTARTSI82 |
feat(Dynamics): periodic orbits must jump up and down |
If x is a periodic point and not a fixed point, there exists some b in its periodic orbit such that b < f b, and some b' such that f b' < b'.
---
This change was motivated by the following proof, a special case of Sharkovskii's theorem:
```lean
theorem exists_isFixedPt_of_continuous_of_mem_periodicPts' {α : Type*}
[ConditionallyCompleteLinearOrder α] [TopologicalSpace α] [OrderTopology α] [DenselyOrdered α]
{f : α → α} {x₀ : α} (hx₀ : x₀ ∈ periodicPts f)
(hf : Continuous f) :
∃(c : α), IsFixedPt f c := by
by_cases hfixed : IsFixedPt f x₀
· exact ⟨x₀, hfixed⟩
obtain ⟨a, _, ha⟩ := exists_lt_map_of_mem_periodicPts hx₀ hfixed
obtain ⟨b, _, hb⟩ := exists_map_lt_of_mem_periodicPts hx₀ hfixed
obtain ⟨c, _, hc⟩ := exists_mem_uIcc_isFixedPt hf.continuousOn ha.le hb.le
exact ⟨c, hc⟩
```
Would this theorem itself or something similar be wanted in mathlib?
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|
new-contributor
t-dynamics
|
39/0 |
Mathlib/Dynamics/PeriodicPts/Defs.lean,Mathlib/Order/Monotone/Basic.lean |
2 |
3 |
['ROTARTSI82', 'github-actions'] |
nobody |
2-79827 2 days ago |
3-62358 3 days ago |
3-62079 3 days |
0 |
| 34911 |
smmercuri author:smmercuri |
feat: idelic product formula |
---
- [x] depends on: #34915
- [x] depends on: #34918
- [x] depends on: #36184
- [x] depends on: #36204
- [x] depends on: #36275
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|
t-number-theory
t-algebra
label:t-algebra$ |
61/1 |
Mathlib/NumberTheory/NumberField/AdeleRing.lean,Mathlib/NumberTheory/NumberField/FiniteAdeleRing.lean |
2 |
11 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
riccardobrasca assignee:riccardobrasca |
2-77019 2 days ago |
27-6150 27 days ago |
27-7472 27 days |
0 |
| 41327 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Subgraph): `induce` lemmas |
`Subgraph.induce` API for sup / inf / iSup / iInf / inter / iUnion / iInter (union already exists)
---
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|
t-combinatorics |
58/0 |
Mathlib/Combinatorics/SimpleGraph/Subgraph.lean |
1 |
1 |
['github-actions'] |
b-mehta assignee:b-mehta |
2-77018 2 days ago |
90-24684 90 days ago |
90-24405 90 days |
0 |
| 42355 |
sankalpsthakur author:sankalpsthakur |
fix(NormNum): error if remaining at locations are unused |
`norm_num at h1 h2 ...` (and other tactics built on `Lean.Elab.Tactic.withNondepPropLocation`) unconditionally processed every hypothesis in the location list, then the target. If an earlier hypothesis closed the goal (e.g. `norm_num` found `h1` to already be `False`), processing continued against an already-closed goal instead of stopping.
Unused `at` locations now error if an earlier location closed the goal.
Closes #28703.
---------
Note. `withNondepPropLocation` currently has no other callers in the Mathlib tree besides its own definition file.
AI coding tools were used to help draft this change and PR description. I reviewed the complete change, understand the reasoning, and verified the build locally before submitting. |
new-contributor
LLM-generated
t-meta
|
32/2 |
Mathlib/Util/AtLocation.lean,MathlibTest/Tactic/NormNum/Basic.lean |
2 |
22 |
['github-actions', 'grunweg', 'mathlib-merge-conflicts', 'sankalpsthakur', 'thorimur'] |
joneugster assignee:joneugster |
2-77015 2 days ago |
19-57368 19 days ago |
39-58365 39 days |
0 |
| 43440 |
Raph-DG author:Raph-DG |
feat(AlgebraicGeometry): serre's R_k condition for schemes |
In this PR, we define Serre's R_k condition. We also show that R_1 is equivalent to all local rings in codimension one being DVRs, though we show this under the assumption that the local rings are all domains. This assumption can be dropped once #28683 is merged.
AI disclosure: assisted by claude opus 5
---
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|
t-algebraic-geometry |
104/0 |
Mathlib.lean,Mathlib/AlgebraicGeometry/RegularInCodimension.lean |
2 |
14 |
['Brian-Nugent', 'Raph-DG', 'github-actions', 'justus-springer'] |
mattrobball assignee:mattrobball |
2-77013 2 days ago |
17-1695 17 days ago |
26-70623 26 days |
0 |
| 43504 |
JovanGerb author:JovanGerb |
perf(Tactic/Positivity): run extensions in `reducible` transparency |
This PR makes it so that `positivity` extensions are executed at `reducible` transparency, which should help with proof maintainability, and gives a slight speedup.
- This does not affect the check of whether the goal is a positivity goal. So, `0 i < x` is still considered a positivity goal, even though `0 i` is not defeq to `0` at reducible transparency.
- The positivity extension for subtraction is checking that it has the right instance using `isDefEq`, so this has to be done at the `implicit` transparency. Apparently, this change causes `positivity` to succeed somewhere where it did not before.
---
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|
t-meta |
41/39 |
Counterexamples/NowhereDifferentiable.lean,Mathlib/Algebra/Order/AbsoluteValue/Basic.lean,Mathlib/Algebra/Order/Field/Basic.lean,Mathlib/Algebra/Order/Field/Power.lean,Mathlib/Algebra/Order/Module/Field.lean,Mathlib/Analysis/Analytic/ConvergenceRadius.lean,Mathlib/Analysis/Hofer.lean,Mathlib/Analysis/Normed/Group/SeparationQuotient.lean,Mathlib/Analysis/Polynomial/MahlerMeasure.lean,Mathlib/Analysis/SpecialFunctions/Bernstein.lean,Mathlib/Analysis/SpecialFunctions/Log/Deriv.lean,Mathlib/MeasureTheory/Integral/PeakFunction.lean,Mathlib/MeasureTheory/Measure/Real.lean,Mathlib/Tactic/Positivity/Basic.lean,Mathlib/Tactic/Positivity/Core.lean |
15 |
3 |
['JovanGerb', 'github-actions', 'leanprover-radar'] |
nobody |
2-76113 2 days ago |
24-37990 24 days ago |
24-37814 24 days |
0 |
| 43556 |
teorth author:teorth |
feat(Analysis/SpecialFunctions/Gamma/Digamma): the real digamma function, its asymptotics, and Gauss' series |
This extends the digamma file with the real digamma function, its logarithmic
asymptotics, and Gauss' series for `ψ`.
---
Main additions:
`Mathlib/Analysis/SpecialFunctions/Gamma/Digamma.lean`
* `Real.digamma`, the real digamma function `logDeriv Real.Gamma`, and its
real functional equations (`Real.digamma_apply_add_one`, `..._add_nat`,
`..._nat_add_one`, `..._one_sub`, `..._two_mul`), obtained from the complex
versions via the bridge below.
* `Complex.digamma_ofReal : Complex.digamma x = Real.digamma x` (a `simp`
lemma, unconditional thanks to matching junk values at the non-positive
integers), and `Complex.digamma_eq_re`.
* Real asymptotics: `Real.monotoneOn_digamma` (monotone on `Ioi 0`, via
log-convexity of `Γ`), `Real.digamma_le_log_le` (`ψ x ≤ log x ≤ ψ (x + 1)`),
and `Real.abs_digamma_sub_log_le` (`|ψ x - log x| ≤ 1 / x`).
* `Complex.gammaAnalyticSet`, the complement of the non-positive integers,
with `isOpen_gammaAnalyticSet`, `isPreconnected_gammaAnalyticSet`,
`Complex.differentiableOn_Gamma`, and `Complex.differentiableOn_digamma`.
* **Gauss' series** `ψ(s) = -γ + ∑ₙ (1/(n+1) - 1/(s+n))`
(`Complex.digamma_eq_gaussSeries`, `Real.digamma_eq_gaussSeries`,
`summable_gaussSeries`). The error is shown to vanish on the positive reals
(a finite partial-sum identity together with `abs_digamma_sub_log_le`) and to
be analytic off the poles, hence zero everywhere by the identity theorem.
`Mathlib/Analysis/Complex/RealDeriv.lean`
* `logDeriv_comp_ofReal`, `logDeriv_ofReal_comp`, relating the real and complex
logarithmic derivatives along the reals.
`Mathlib/Analysis/SpecialFunctions/Gamma/Deriv.lean`
* Real analogues of the existing complex lemmas: `Real.continuousAt_Gamma`,
and non-continuity/non-differentiability of `Real.Gamma` at the non-positive
integers.
Several complex analysis imports were added to `Digamma.lean` in order to justify the proof of the Gauss identity in the complex case.
The code was initially generated by an AI, and then heavily golfed and reviewed by the author.
[](https://gitpod.io/from-referrer/)
|
t-analysis |
434/23 |
Mathlib/Analysis/Complex/RealDeriv.lean,Mathlib/Analysis/SpecialFunctions/Gamma/Deriv.lean,Mathlib/Analysis/SpecialFunctions/Gamma/Digamma.lean |
3 |
3 |
['github-actions', 'mathlib-merge-conflicts', 'metakunt'] |
nobody |
2-75306 2 days ago |
2-76384 2 days ago |
23-41552 23 days |
0 |
| 43745 |
theebayuser author:theebayuser |
feat(Geometry/Euclidean): add Euler's quadrilateral theorem |
Adds Euler's quadrilateral theorem to Mathlib/Geometry/Euclidean/, and records it in docs/1000.yaml (Q18630480). It states: for any four points, the sum of the squares of the four sides of the quadrilateral a b c d equals the sum of the squares of the two diagonals, plus four times the square of the distance between the midpoints of the diagonals.
This PR was written with AI assistance (Claude Code).
|
t-euclidean-geometry
new-contributor
LLM-generated
maintainer-merge
|
84/0 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/Basic.lean,Mathlib/Geometry/Euclidean/EulerQuadrilateral.lean,docs/1000.yaml |
4 |
17 |
['github-actions', 'jsm28', 'theebayuser', 'wwylele'] |
jsm28 assignee:jsm28 |
2-69254 2 days ago |
19-65601 19 days ago |
19-65322 19 days |
0 |
| 43025 |
j-loreaux author:j-loreaux |
feat(Analysis/CStarAlgebra): grind patterns for cfc junk values |
This adds `grind` patterns with guards to discharge cases when `cfc` takes the junk value `0`.
Along the way we add `continuous_star_iff` and friends, and provide `to_fun` versions of both those and also `continuous_{neg,inv}_iff`. But for those changes, this PR would have much more `-` than `+` lines.
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t-analysis |
124/127 |
Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Basic.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/NonUnital.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Order.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Range.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Restrict.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Unital.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/Abs.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/PosPart/Basic.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/Rpow/Basic.lean,Mathlib/NumberTheory/LSeries/DirichletContinuation.lean,Mathlib/Probability/Distributions/Gaussian/Multivariate.lean,Mathlib/Topology/Algebra/Group/ContinuousInv.lean,Mathlib/Topology/Algebra/Group/ZPow.lean,Mathlib/Topology/Algebra/Star.lean,Mathlib/Topology/ContinuousMap/Basic.lean,Mathlib/Topology/ContinuousMap/ContinuousMapZero.lean |
16 |
5 |
['github-actions', 'j-loreaux', 'mathlib-merge-conflicts'] |
nobody |
2-64295 2 days ago |
2-66723 2 days ago |
31-38768 31 days |
0 |
| 44274 |
EtienneC30 author:EtienneC30 |
feat: measurability of set operations |
The intersection of two measurable set-valued functions is measurable. Same for other set/finset operations, and aemeasurable versions for sets.
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|
t-measure-probability |
218/8 |
Mathlib/Dynamics/Ergodic/MeasurePreserving.lean,Mathlib/MeasureTheory/MeasurableSpace/Constructions.lean,Mathlib/MeasureTheory/Measure/AEMeasurable.lean,Mathlib/MeasureTheory/Order/Lattice.lean |
4 |
5 |
['EtienneC30', 'gasparattila', 'github-actions'] |
nobody |
2-55468 2 days ago |
3-22083 3 days ago |
3-22000 3 days |
2 |
| 43250 |
WenrongZou author:WenrongZou |
chore(Valuation/Integers): rename `Valuation.Integers` to `Valuation.IsIntegers` |
I think [`Valuation.Integers`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/RingTheory/Valuation/Integers.html#Valuation.Integers) is the characteristic predicate. If this is not what we want, I am happy to add a characteristic predicate in this file.
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|
t-ring-theory |
193/61 |
Mathlib/NumberTheory/Padics/Complex.lean,Mathlib/RingTheory/DedekindDomain/AdicValuation.lean,Mathlib/RingTheory/DiscreteValuationRing/Basic.lean,Mathlib/RingTheory/Perfection.lean,Mathlib/RingTheory/Valuation/Archimedean.lean,Mathlib/RingTheory/Valuation/Discrete/Basic.lean,Mathlib/RingTheory/Valuation/Discrete/IsDiscreteValuationRing.lean,Mathlib/RingTheory/Valuation/Integers.lean,Mathlib/RingTheory/Valuation/Integral.lean,Mathlib/RingTheory/Valuation/ValuationRing.lean,Mathlib/RingTheory/Valuation/ValuationSubring.lean,Mathlib/Topology/Algebra/Valued/LocallyCompact.lean |
12 |
19 |
['WenrongZou', 'b-mehta', 'github-actions', 'jcommelin', 'mathlib-bors', 'riccardobrasca'] |
nobody |
2-44346 2 days ago |
2-44346 2 days ago |
17-66011 17 days |
0 |
| 44278 |
justus-springer author:justus-springer |
doc(AlgebraicGeometry/Birational/*): improve stacks tags |
---
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- [ ] depends on: #xyz [optional extra text]
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|
t-algebraic-geometry |
10/1 |
Mathlib/AlgebraicGeometry/Birational/Birational.lean,Mathlib/AlgebraicGeometry/Birational/RationalMap.lean |
2 |
1 |
['github-actions'] |
nobody |
2-42921 2 days ago |
3-42686 3 days ago |
3-42489 3 days |
0 |
| 44279 |
smmercuri author:smmercuri |
feat: `ValuativeRel` and `IsValuativeTopology (v.adicCompletion K)` |
- Prove `IsValuativeTopology (v.adicCompletion K)`
- Make `Valued` instance on `v.adicCompletion K` be derived from `IsValuativeTopology`
- Remove some usage of `Valued.v` from `AdicValuation.lean`
---
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|
t-ring-theory |
128/56 |
Mathlib/NumberTheory/Padics/HeightOneSpectrum.lean,Mathlib/RingTheory/DedekindDomain/AdicValuation.lean,Mathlib/RingTheory/Valuation/ValuativeRel/Basic.lean,Mathlib/Topology/Algebra/ValuativeRel/ValuativeTopology.lean |
4 |
1 |
['github-actions'] |
nobody |
2-40459 2 days ago |
3-39559 3 days ago |
3-39280 3 days |
3 |
| 44272 |
Whysoserioushah author:Whysoserioushah |
chore(Algebra/Homology/Opposite): add implicit_reducible tags and remove set_options |
Preparation material for this week's Chinese set_option removal workshop
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|
t-algebra
tech debt
label:t-algebra$ |
23/63 |
Mathlib/Algebra/Homology/Opposite.lean |
1 |
3 |
['Whysoserioushah', 'github-actions', 'leanprover-radar'] |
nobody |
2-34680 2 days ago |
3-54721 3 days ago |
3-54442 3 days |
0 |
| 44282 |
xroblot author:xroblot |
feat(NumberTheory/RamificationInertia): decomposition and inertia rings |
Two predicates for Hilbert theory at the level of rings: for a group `G` acting on a ring `B` and a prime `P` of `B`, `Ideal.IsDecompositionRing G P R` (resp. `Ideal.IsInertiaRing G P R`) states that `B` is Galois over `R` with Galois group the decomposition group (resp. the inertia group) of `P`.
Prepared with Claude Code 🤖
---
|
t-number-theory |
89/25 |
Mathlib/NumberTheory/RamificationInertia/HilbertTheory.lean |
1 |
1 |
['github-actions'] |
tb65536 assignee:tb65536 |
2-34136 2 days ago |
3-32043 3 days ago |
3-31764 3 days |
9 |
| 44299 |
artie2000 author:artie2000 |
feat(FieldTheory/Galois): intermediate fields corresponding to Sylow subgroups |
* Prove existence of intermediate fields of particular degrees in a Galois extension using Sylow's first theorem (existence of Sylow subgroups)
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|
t-group-theory |
88/0 |
Mathlib.lean,Mathlib/FieldTheory/Galois/Sylow.lean,Mathlib/GroupTheory/Sylow.lean |
3 |
4 |
['artie2000', 'github-actions', 'wwylele'] |
tb65536 assignee:tb65536 |
2-34128 2 days ago |
3-12598 3 days ago |
3-12733 3 days |
0 |
| 43163 |
yuanyi-350 author:yuanyi-350 |
feat(Analysis/SpecialFunctions/Exponential): map exponentials under differentiable monoid homs |
|
t-analysis |
38/0 |
Mathlib/Analysis/SpecialFunctions/Exponential.lean |
1 |
4 |
['github-actions', 'wwylele'] |
nobody |
2-33709 2 days ago |
2-34946 2 days ago |
35-53018 35 days |
1 |
| 43718 |
yuanyi-350 author:yuanyi-350 |
feat(Analysis/Calculus/Gradient): add arithmetic rules for gradients |
This PR revives #9352, which appears to have stalled after review. It incorporates the reviewers’ suggestions and updates the code to current mathlib.
I would like to use these basic gradient calculus lemmas as infrastructure for follow-up work in mathlib. |
t-analysis |
402/0 |
Mathlib.lean,Mathlib/Analysis/Calculus/Gradient/Lemmas.lean |
2 |
1 |
['github-actions'] |
nobody |
2-33455 2 days ago |
20-31295 20 days ago |
20-31016 20 days |
0 |
| 44240 |
Parcly-Taxel author:Parcly-Taxel |
chore: delete deprecated declarations to March 2026 |
|
tech debt |
6/3165 |
Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean,Mathlib/Algebra/Algebra/Subalgebra/Lattice.lean,Mathlib/Algebra/BigOperators/Finprod.lean,Mathlib/Algebra/Category/AlgCat/Basic.lean,Mathlib/Algebra/Category/CommAlgCat/Basic.lean,Mathlib/Algebra/Category/CommBialgCat.lean,Mathlib/Algebra/Category/ModuleCat/Basic.lean,Mathlib/Algebra/DirectSum/Basic.lean,Mathlib/Algebra/FreeMonoid/Basic.lean,Mathlib/Algebra/Group/Semiconj/Defs.lean,Mathlib/Algebra/Group/Subgroup/Defs.lean,Mathlib/Algebra/MonoidAlgebra/Basic.lean,Mathlib/Algebra/MonoidAlgebra/Cardinal.lean,Mathlib/Algebra/MonoidAlgebra/MapDomain.lean,Mathlib/Algebra/MvPolynomial/Basic.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Basic.lean,Mathlib/Algebra/Order/Ring/Unbundled/Rat.lean,Mathlib/Algebra/Ring/Subring/Basic.lean,Mathlib/Algebra/Ring/Subsemiring/Basic.lean,Mathlib/Algebra/Star/NonUnitalSubalgebra.lean,Mathlib/Algebra/Star/Subalgebra.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Reduction.lean,Mathlib/AlgebraicTopology/SimplicialSet/Homology/HomotopyInvariance.lean,Mathlib/AlgebraicTopology/SimplicialSet/StdSimplex.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Instances.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Range.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Unital.lean,Mathlib/Analysis/Calculus/ContDiff/Basic.lean,Mathlib/Analysis/Complex/Harmonic/Analytic.lean,Mathlib/Analysis/Convex/Cone/InnerDual.lean,Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Analysis/LocallyConvex/WithSeminorms.lean,Mathlib/Analysis/Matrix/Hermitian.lean,Mathlib/Analysis/Normed/Affine/ContinuousAffineMap.lean,Mathlib/Analysis/Normed/Algebra/GelfandFormula.lean,Mathlib/Analysis/Normed/Lp/PiLp.lean,Mathlib/Analysis/Normed/Module/Dual.lean,Mathlib/Analysis/Normed/Operator/Compact/Basic.lean,Mathlib/Analysis/Normed/Operator/Compact/FiniteDimension.lean,Mathlib/Analysis/Normed/Ring/WithAbs.lean,Mathlib/Analysis/SpecialFunctions/Integrability/Log.lean,Mathlib/Analysis/SpecialFunctions/Integrability/PosLog.lean,Mathlib/Analysis/SpecialFunctions/Stirling.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Chebyshev/Orthogonality.lean,Mathlib/Analysis/SpecificLimits/Basic.lean,Mathlib/Basic/Logic/Basic.lean,Mathlib/CategoryTheory/Bicategory/NaturalTransformation/Lax.lean,Mathlib/CategoryTheory/Limits/Cones.lean,Mathlib/CategoryTheory/Limits/Constructions/FiniteProductsOfBinaryProducts.lean,Mathlib/CategoryTheory/Limits/Types/Colimits.lean,Mathlib/CategoryTheory/Monoidal/Cartesian/FunctorCategory.lean,Mathlib/CategoryTheory/Monoidal/Cartesian/Mon.lean,Mathlib/CategoryTheory/MorphismProperty/Limits.lean,Mathlib/CategoryTheory/Sites/Adjunction.lean,Mathlib/CategoryTheory/Sites/CartesianMonoidal.lean,Mathlib/CategoryTheory/Sites/ConstantSheaf.lean,Mathlib/CategoryTheory/Sites/CoverLifting.lean,Mathlib/CategoryTheory/Sites/IsSheafFor.lean,Mathlib/CategoryTheory/Sites/Point/Skyscraper.lean,Mathlib/CategoryTheory/Sites/Sheaf.lean,Mathlib/CategoryTheory/Subobject/Classifier/Defs.lean,Mathlib/CategoryTheory/Types/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Clique.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean,Mathlib/Combinatorics/SimpleGraph/Hamiltonian.lean,Mathlib/Combinatorics/SimpleGraph/LineGraph.lean,Mathlib/Combinatorics/SimpleGraph/Operations.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Operations.lean,Mathlib/Computability/Reduce.lean,Mathlib/Computability/TuringMachine/Computable.lean,Mathlib/Condensed/Basic.lean,Mathlib/Condensed/Discrete/LocallyConstant.lean,Mathlib/Condensed/Light/Basic.lean,Mathlib/Condensed/Light/TopCatAdjunction.lean,Mathlib/Condensed/TopCatAdjunction.lean,Mathlib/Data/Finset/Lattice/Fold.lean,Mathlib/Data/Finsupp/Defs.lean,Mathlib/Data/Int/Init.lean,Mathlib/Data/Nat/Bits.lean,Mathlib/Data/Nat/Digits/Lemmas.lean,Mathlib/Data/Nat/Factorization/Basic.lean,Mathlib/Data/Nat/Factorization/Defs.lean,Mathlib/Data/Nat/Init.lean,Mathlib/Data/Nat/PadicValNat.lean,Mathlib/Data/Nat/Size.lean,Mathlib/Data/PFunctor/Multivariate/W.lean,Mathlib/Data/Set/Basic.lean,Mathlib/Data/Set/Function.lean,Mathlib/Data/Sym/Sym2.lean,Mathlib/Dynamics/OmegaLimit.lean,Mathlib/Geometry/Convex/Cone/Basic.lean,Mathlib/Geometry/Convex/Cone/Dual.lean,Mathlib/Geometry/Convex/Cone/Pointed.lean,Mathlib/GroupTheory/Coxeter/Length.lean,Mathlib/GroupTheory/Coxeter/Matrix.lean,Mathlib/GroupTheory/Nilpotent.lean,Mathlib/GroupTheory/SpecificGroups/Alternating.lean |
184 |
4 |
['Parcly-Taxel', 'github-actions', 'joneugster'] |
nobody |
2-31367 2 days ago |
3-74672 3 days ago |
4-24113 4 days |
0 |
| 44320 |
tb65536 author:tb65536 |
feat(Analysis/Normed/Unbundled/IsPowMulTrivial): triviality of power-multiplicative norms over a trivially normed field |
This is used to #42985 to generalize uniqueness of power-multiplicative norms from `NontriviallyNormedField` to `NormedField`.
---
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|
t-analysis |
63/0 |
Mathlib.lean,Mathlib/Analysis/Normed/Unbundled/IsPowMulTrivial.lean |
2 |
1 |
['github-actions'] |
nobody |
2-28365 2 days ago |
2-28444 2 days ago |
2-28166 2 days |
1 |
| 44321 |
mcdoll author:mcdoll |
chore(Analysis/Normed): generalize `ContinuousMultilinearMap.curry0` to TVS |
Needed to generalize iterated derivatives to TVS.
---
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|
t-analysis |
24/0 |
Mathlib/Analysis/Normed/Module/Multilinear/Curry.lean |
1 |
1 |
['github-actions'] |
nobody |
2-25261 2 days ago |
2-26702 2 days ago |
2-26423 2 days |
0 |
| 43692 |
j-loreaux author:j-loreaux |
feat: a syntax linter for the `@[congr]` attribute |
The documentation for the `@[congr]` attribute states:
```
A `simp` congruence lemma should prove the equality of two applications of the same function from
the equality of the individual arguments. They are used by `simp` to visit subexpressions of an
application where the default congruence algorithm fails. This is particularly important for
functions where some parameters depend on previous parameters.
Congruence lemmas should have an equality for every parameter, possibly bounded by foralls, with
the right hand side being an application of a parameter on the right-hand side. When applying
congruence theorems, `simp` will first infer parameters from the right-hand side, then try to
simplify each left-hand side of the parameter equalities and finally infer the right-hand side
parameters from the result.
```
However, no check is performed to verify that all the arguments to the function vary. This PR adds a syntax linter to check this and turns it on by default across Mathlib. We explicitly silence the linter where it currently triggers.
This linter addresses a real problem, as I was bitten by the lack of this check in #43028 and fixed in #43689.
---
AI disclosure: this was generated by Claude (Opus 5) with my prompting. I rewrote some bits here and there to something I found more suitable, especially in the documentation portions. I understand all the meta code written herein, but I'm not sure if it follows best practices everywhere or not.
After some initial review, I had some better ideas of what could be changed, and made edits myself, without Claude.
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[](https://gitpod.io/from-referrer/)
|
t-linter
LLM-generated
large-import
|
244/0 |
Mathlib.lean,Mathlib/Data/Finset/Filter.lean,Mathlib/Data/Finset/Fold.lean,Mathlib/Data/Finsupp/Basic.lean,Mathlib/Data/List/Basic.lean,Mathlib/Data/List/Find.lean,Mathlib/Data/List/Zip.lean,Mathlib/Data/Multiset/Bind.lean,Mathlib/Data/Multiset/Filter.lean,Mathlib/Data/Multiset/Find.lean,Mathlib/Data/Set/Image.lean,Mathlib/Data/Set/NAry.lean,Mathlib/Data/Sym/Basic.lean,Mathlib/Data/Sym/Sym2.lean,Mathlib/Geometry/Convex/ConvexSpace/Defs.lean,Mathlib/Init.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Linter/CongrFixedArgs.lean,MathlibTest/Linter/CongrFixedArgs.lean |
19 |
23 |
['github-actions', 'grunweg', 'j-loreaux'] |
thorimur assignee:thorimur |
2-23268 2 days ago |
8-30182 8 days ago |
21-6089 21 days |
0 |
| 44117 |
zblore author:zblore |
feat(Topology/Algebra): quotient topology on projective space and open quotient map |
This gives `ℙ K V` the quotient topology and shows `Projectivization.mk'` is an open quotient map when the units of `K` act continuously on `V`. It also adds the two instances the proof needs to `Topology/Algebra/MulAction.lean`. A `SubMulAction` inherits `ContinuousConstSMul`, and `Kˣ` acts continuously on the nonzero vectors.
This is the first step towards the Fubini-Study metric and measure on `ℂℙⁿ`. I discussed it on Zulip here https://leanprover.zulipchat.com/#narrow/id/617154981 and here https://leanprover.zulipchat.com/#narrow/id/625402419
I used Claude to draft the Lean against the existing Mathlib API. I've reworked and checked every line myself and can explain all of it.
---
|
t-topology
new-contributor
LLM-generated
|
117/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Projectivization/Basic.lean,Mathlib/Topology/Algebra/MulAction.lean,Mathlib/Topology/Algebra/Projectivization.lean |
4 |
5 |
['gasparattila', 'github-actions', 'zblore'] |
nobody |
2-21734 2 days ago |
8-39821 8 days ago |
8-39542 8 days |
0 |
| 43183 |
BorisTheBrave author:BorisTheBrave |
fix(Tactic/Linarith): carry `!` and the configuration into `linarith?… |
`linarith?` uses the same configuration as `linarith`,
but previously printed a bare `linarith only [...]` suggestion regardless
of the configuration.
Now all config options except `minimize` are carried into the suggestion.
---
Note: #42588 has a [test](https://github.com/leanprover-community/mathlib4/pull/42588/files#diff-3657543f804f0a57e384f6a9338cc53803a50bebdfb16c1ecd0b514f3fda332fR863) that
unintentionally highlights the problem:
```lean
/--
info: Try this:
[apply] linarith only [hne, hle]
-/
#guard_msgs in
example (a b : ℚ) (hne : a ≠ b) (hle : a ≥ b) (junk : (0:ℚ) < 1) : b < a := by
linarith? +splitNe
```
This suggestion doesn't actually close the proof.
It should suggest `linarith +splitNE only [hne, hle]`.
Should we be using `says` syntax for these tests? I'm unclear on the rule here.
Note: `simp?` has very similar code, `filterSuggestionsAndLocalsFromSimpConfig`, that this PR was modelled after.
AI disclosure:
Claude Code (Fable) first flagged this problem to me, and wrote the first draft. I
made some tweaks to better fit mathlib's style, and wrote all the prose.
[](https://gitpod.io/from-referrer/) |
t-meta
new-contributor
|
68/6 |
Mathlib/Tactic/Linarith/Frontend.lean,MathlibTest/Tactic/Linarith/Basic.lean |
2 |
16 |
['BorisTheBrave', 'JovanGerb', 'github-actions', 'sharky564'] |
nobody |
2-20762 2 days ago |
27-44184 27 days ago |
34-42125 34 days |
0 |
| 43578 |
WilliamCoram author:WilliamCoram |
feat: identifying WithZero (Multiplicative M) and WithTop M |
We identify `Mᵐ⁰ = WithZero (Multiplicative M)` with `WithTop M` in the form of an order-and-additive isomorphism.
In future work this will allow us to define additive valuations from valuations with a usable target (specifically attaching to a rank one discrete valuation an additive valuation into WithTop Z).
AI usage:
The need of attaching additive valuations to valuations came up in my Newton polygon work - after some discussion with people and Claude this was the approach I felt worked best for me. The file was drafted and written by Claude with my input and cleaning.
---
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|
LLM-generated
t-algebra
label:t-algebra$ |
142/0 |
Mathlib.lean,Mathlib/Algebra/Order/GroupWithZero/NegLog.lean |
2 |
3 |
['Multramate', 'github-actions'] |
nobody |
2-20228 2 days ago |
23-28441 23 days ago |
23-28401 23 days |
1 |
| 44307 |
grunweg author:grunweg |
chore: silence module system warning in a few mathlib-adjacent execut… |
…ables
Converting them to the module system is left as a follow-up: in each case, doing so was not
quite trivial.
---
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|
easy
t-meta
|
6/1 |
lakefile.lean,scripts/check_title_labels.lean |
2 |
5 |
['JovanGerb', 'Vierkantor', 'github-actions', 'grunweg'] |
nobody |
2-18370 2 days ago |
2-18450 2 days ago |
2-24608 2 days |
0 |
| 43668 |
SnirBroshi author:SnirBroshi |
doc(MeasureTheory): `wikidata` tags for some basics |
---
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[](https://gitpod.io/from-referrer/)
|
t-measure-probability
documentation
|
5/2 |
Mathlib/MeasureTheory/Constructions/BorelSpace/Basic.lean,Mathlib/MeasureTheory/MeasurableSpace/Defs.lean,Mathlib/MeasureTheory/Measure/Dirac/Def.lean |
3 |
1 |
['github-actions'] |
nobody |
2-15878 2 days ago |
21-32271 21 days ago |
21-31992 21 days |
0 |
| 33864 |
Timeroot author:Timeroot |
feat(Computability/Primrec): Proving several Nat arithmetic functions are primrec |
Prove that gcd, lcm, coprimality, divisiblity, primality, factorial, descending factorial, powers, and various logarithms are all primitive recursive.
Co-authored-by: Aristotle Harmonic <[aristotle-harmonic@harmonic.fun](mailto:aristotle-harmonic@harmonic.fun)>
|
large-import
t-computability
|
195/3 |
Mathlib.lean,Mathlib/Computability/Primrec/List.lean,Mathlib/Computability/Primrec/Nat.lean,Mathlib/Data/Nat/Log.lean |
4 |
9 |
['eric-wieser', 'github-actions', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
nobody |
2-14619 2 days ago |
2-16541 2 days ago |
96-4400 96 days |
0 |
| 43876 |
pechersky author:pechersky |
chore(Data/PNat): untangle definition from requiring later imports and instances |
`PNat` was defined in `Data.PNat.Notation` with only a little bit of theory on it within that file.
More theory was in `Data.PNat.Defs` with a small number of light imports.
And then a lot of functions like dvd, mod, and a whole slew of instances were declared in `Data.PNat.Basic`
Changes:
- have a PNat specific "constructor": `PNat.mk`, which helps with reducibility and elaboration -- added directly into `Data.PNat.Notation`
- all the theory/definitions/API that can be declared at the simplest import burden (as in `Data.PNat.Notation`) is moved into there, mostly from `Defs`
- we already had a `Data.PNat.Order` which was about `SuccOrder`, so move `Data.PNat.Order` -> `Data.PNat.SuccOrder`
- `Data.PNat.Basic` is broken up into various smaller files: `Algebra`, `Dvd`, `DivMod`, and `Order` (see above) -- each of these now has minimal imports for the API it declares
- the heavy `deriving` line that was a catch all in `Data.PNat.Basic` is now distributed into various files, each "import minimized"
All of this allows usage of PNat earlier on in various basic theory, like algebraic structures, without having to have import loops. No new declaration/API is built other than `PNat.mk` and `PNat.val_one`, the Lean diff is just instance naming. Also cleaned away a leftover `backwardsTransparency` option setting.
as discussed in [#mathlib4 > reducible constructors for PNat](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/reducible.20constructors.20for.20PNat/with/606726575)
---
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[](https://gitpod.io/from-referrer/)
Will help with #40785.
Files/declarations moved around with GPT 5.6 Luna xhigh, manual reworking of file dependency and cleanup. |
t-data
tech debt
large-import
|
591/459 |
Archive/Imo/Imo1977Q6.lean,Mathlib.lean,Mathlib/Data/Nat/Fib/Basic.lean,Mathlib/Data/Nat/Fib/Zeckendorf.lean,Mathlib/Data/PNat/Algebra.lean,Mathlib/Data/PNat/Algebra/Order.lean,Mathlib/Data/PNat/Basic.lean,Mathlib/Data/PNat/Defs.lean,Mathlib/Data/PNat/DivMod.lean,Mathlib/Data/PNat/Dvd.lean,Mathlib/Data/PNat/Notation.lean,Mathlib/Data/PNat/Order.lean,Mathlib/Data/PNat/SuccOrder.lean,Mathlib/Data/PNat/Xgcd.lean,Mathlib/GroupTheory/GroupAction/SubMulAction/OfFixingSubgroup.lean,Mathlib/NumberTheory/TsumDivisorsAntidiagonal.lean |
16 |
6 |
['github-actions', 'leanprover-radar', 'mathlib-merge-conflicts', 'pechersky', 'riccardobrasca'] |
nobody |
2-14174 2 days ago |
2-18490 2 days ago |
13-63236 13 days |
1 |
| 28700 |
Timeroot author:Timeroot |
feat(ModelTheory): Set.Definable is transitive |
---
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This PR continues the work from #19695.
Original PR: https://github.com/leanprover-community/mathlib4/pull/19695
- [x] depends on: #26332
[](https://gitpod.io/from-referrer/)
|
t-logic
large-import
increases-technical-debt
|
371/4 |
Mathlib/ModelTheory/Definability.lean,Mathlib/ModelTheory/Semantics.lean,Mathlib/ModelTheory/Syntax.lean |
3 |
10 |
['Timeroot', 'github-actions', 'mathlib-merge-conflicts', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'staroperator'] |
nobody |
2-12843 2 days ago |
2-13516 2 days ago |
51-49430 51 days |
0 |
| 43420 |
Timeroot author:Timeroot |
chore(AlgebraicGeometry): refactor and clean up AffineTransitionLimit.lean |
Refactor and cleans up very long proofs in AffineTransitionLimit.lean
Several proofs in this file were the largest in Mathlib (as measured by actual time to validate the proof term) and I noticed they were terrible. This was the result of some ~20 rounds of me with Claude together doing cleanup, not just shortening the proofs but also cleaning up the file in other ways. It involved pulling 15 helpful little lemmas out in other related files, reordering some declarations into an easier order to re-use, changing some section variables (to make declarations much more readable), a great reduction in `set_option backward.isDefEq.respectTransparency false` and `set_option backward.defeqAttrib.useBackward` debt, and of course, simplifying many proofs to use cleaner or more direct arguments.
The net result is 138 less lines than before, and instead of having a massive `Scheme.exists_π_app_comp_eq_of_locallyOfFinitePresentation` (and friends) that's 104 lines, nearly everything is at a sane length.
---
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[](https://gitpod.io/from-referrer/)
|
tech debt |
532/669 |
Mathlib/AlgebraicGeometry/AffineScheme.lean,Mathlib/AlgebraicGeometry/AffineTransitionLimit.lean,Mathlib/AlgebraicGeometry/Gluing.lean,Mathlib/AlgebraicGeometry/Morphisms/QuasiSeparated.lean,Mathlib/AlgebraicGeometry/Restrict.lean,Mathlib/AlgebraicGeometry/Scheme.lean,Mathlib/CategoryTheory/Filtered/Basic.lean |
7 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
2-11371 2 days ago |
2-12521 2 days ago |
24-51016 24 days |
0 |
| 40983 |
khwilson author:khwilson |
feat: lemmas to support F-space open mapping theorem |
In order to generalize the Banach open mapping theorem to a generic F-space, we need several leamms about balanced and absorbent sets in more arbitrary spaces. In particular, we need some key lemmas such as:
- A closed absorbent set in a Baire space with countably generated cobounded filter has nonempty interior
- A topological vector space has a basis of neighborhoods about 0 consisting of balanced sets
AI Disclosure: Generated by Claude Code with specific prompts from me and edits by me.
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|
t-topology
LLM-generated
|
119/11 |
Mathlib.lean,Mathlib/Analysis/LocallyConvex/AbsConvex.lean,Mathlib/Analysis/LocallyConvex/BalancedCoreHull.lean,Mathlib/Analysis/LocallyConvex/Basic.lean,Mathlib/Topology/Algebra/Group/Pointwise.lean,Mathlib/Topology/Baire/Absorbent.lean,Mathlib/Topology/Bornology/Absorbs.lean,Mathlib/Topology/MetricSpace/Bounded.lean |
8 |
22 |
['felixpernegger', 'github-actions', 'j-loreaux', 'khwilson', 'mathlib-bors', 'mcdoll', 'scholzhannah'] |
j-loreaux assignee:j-loreaux |
2-9381 2 days ago |
2-11748 2 days ago |
80-73455 80 days |
1 |
| 44053 |
DavidLedvinka author:DavidLedvinka |
feat(Tactic/Inclusion): add pow support to the inclusion/dyadic_interval tactic |
|
large-import
t-meta
|
84/2 |
Mathlib/Algebra/Order/Ring/Basic.lean,Mathlib/Tactic/Inclusion/Extension/Interval.lean,Mathlib/Tactic/Inclusion/Extension/IntervalDyadicReal/Basic.lean,MathlibTest/Tactic/Inclusion/Basic.lean |
4 |
4 |
['DavidLedvinka', 'github-actions', 'jcommelin', 'mathlib-merge-conflicts'] |
nobody |
2-8337 2 days ago |
2-11241 2 days ago |
8-49152 8 days |
0 |
| 43788 |
wwylele author:wwylele |
feat(Geometry/Euclidean): relate perpBisector and reflection |
---
There weren't any result that relates `perpBisector` and `reflection` (which is surprising given how they are very related intuitively). Because of this, their definition files didn't import each other. ~~I choose to put this in PerpBisector.lean because it is the shorter file.~~ put in Project.lean to minimize additional import
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[](https://gitpod.io/from-referrer/)
|
t-euclidean-geometry
maintainer-merge
|
39/0 |
Mathlib/Geometry/Euclidean/PerpBisector.lean,Mathlib/Geometry/Euclidean/Projection.lean |
2 |
6 |
['copilot-pull-request-reviewer', 'github-actions', 'jsm28', 'wwylele'] |
jsm28 assignee:jsm28 |
2-5429 2 days ago |
6-82229 6 days ago |
17-74200 17 days |
0 |
| 44293 |
psvenk author:psvenk |
doc: add lmfdb attributes |
Following #41290, add cross-references to the LMFDB for various definitions.
---
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|
new-contributor
documentation
|
54/25 |
Mathlib/Algebra/CharP/Defs.lean,Mathlib/Algebra/Field/Defs.lean,Mathlib/Algebra/Group/Defs.lean,Mathlib/Algebra/Group/End.lean,Mathlib/Algebra/Group/Irreducible/Defs.lean,Mathlib/Algebra/Group/Subgroup/Basic.lean,Mathlib/Algebra/Group/Subgroup/Defs.lean,Mathlib/Algebra/Ring/Defs.lean,Mathlib/Analysis/Complex/UpperHalfPlane/Basic.lean,Mathlib/Analysis/SpecialFunctions/Gamma/Basic.lean,Mathlib/GroupTheory/Frattini.lean,Mathlib/GroupTheory/Generators.lean,Mathlib/GroupTheory/Index.lean,Mathlib/GroupTheory/Rank.lean,Mathlib/GroupTheory/Sylow.lean,Mathlib/GroupTheory/Torsion.lean,Mathlib/LinearAlgebra/Matrix/SpecialLinearGroup.lean,Mathlib/LinearAlgebra/Projectivization/Basic.lean,Mathlib/MeasureTheory/Group/Measure.lean,Mathlib/MeasureTheory/Measure/Haar/Basic.lean,Mathlib/NumberTheory/ArithmeticFunction/Defs.lean,Mathlib/NumberTheory/Bernoulli.lean,Mathlib/NumberTheory/DirichletCharacter/Basic.lean,Mathlib/NumberTheory/LSeries/Basic.lean,Mathlib/NumberTheory/LocalField/Basic.lean,Mathlib/NumberTheory/NumberField/Basic.lean,Mathlib/NumberTheory/NumberField/ClassNumber.lean,Mathlib/NumberTheory/NumberField/Discriminant/Defs.lean,Mathlib/NumberTheory/Padics/PadicNumbers.lean,Mathlib/RingTheory/DedekindDomain/Basic.lean,Mathlib/RingTheory/FractionalIdeal/Basic.lean,Mathlib/RingTheory/Ideal/Defs.lean,Mathlib/RingTheory/Ideal/Maximal.lean,Mathlib/RingTheory/Ideal/Prime.lean,Mathlib/RingTheory/IntegralClosure/Algebra/Basic.lean,Mathlib/RingTheory/IntegralClosure/IntegrallyClosed.lean,Mathlib/RingTheory/IntegralClosure/IsIntegral/Defs.lean,Mathlib/RingTheory/LocalRing/MaximalIdeal/Defs.lean,Mathlib/RingTheory/LocalRing/ResidueField/Defs.lean,Mathlib/RingTheory/Noetherian/Defs.lean,Mathlib/RingTheory/Polynomial/Resultant/Basic.lean,Mathlib/RingTheory/Valuation/Integers.lean,Mathlib/Topology/Algebra/Category/ProfiniteGrp/Basic.lean |
43 |
2 |
['github-actions'] |
nobody |
2-4984 2 days ago |
3-471 3 days ago |
3-2119 3 days |
0 |
| 44297 |
langston-barrett author:langston-barrett |
feat(Data/FinEnum): `Std.PRange.LawfulUpwardEnumerable` instance |
---
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I'm not sure how Mathlib feels about interfacing with std constructs, but I was looking for something along the lines of `succMany?` and found `Std.PRange.LawfulUpwardEnumerable`, so I figured I'd implement it and see what the appetite is. Even if we don't decide to use this particular typeclass, the underlying functionality still seems useful.
This is my first ever Lean development, so I would greatly appreciate any tips and feedback on the style!
I wrote all of this by hand, though I asked some questions about Lean to GPT 5.6 Luna along the way.
A `LinearlyUpwardEnumerable` instance would be a good follow-up. |
t-data
new-contributor
|
112/0 |
Mathlib/Data/FinEnum.lean |
1 |
3 |
['github-actions', 'langston-barrett'] |
nobody |
2-4943 2 days ago |
2-14236 2 days ago |
2-21715 2 days |
0 |
| 44328 |
Multramate author:Multramate |
chore: fix misspelling `supsets` in `Set.sUnion_mono_supsets` |
Fixes the misspelling `supsets` in `Set.sUnion_mono_supsets`.
---
🤖 Generated with [Claude Code](https://claude.com/claude-code) |
t-data
LLM-generated
|
3/1 |
Mathlib/Data/Set/Lattice/Bounded.lean |
1 |
5 |
['JX-Mo', 'Multramate', 'github-actions'] |
nobody |
2-1990 2 days ago |
2-12028 2 days ago |
2-11749 2 days |
0 |
| 44323 |
marcelolynch author:marcelolynch |
chore(Init): stop setting a default library suggestions engine |
This PR removes `public import Lean.LibrarySuggestions.Default` from `Mathlib.Init`. Thus Mathlib no longer sets a default library suggestions engine. Since leanprover/lean4#15159, the default engine builds its index on the first query in each process, and with `import Mathlib` this takes minutes. The Lean maintainers consider the feature unused.
Without an engine, the `+suggestions` modes of `grind`, `simp?`, `simp_all?` and `solve_by_elim` fail until the file adds `import Lean.LibrarySuggestions.Default` or `set_library_suggestions`. `try?` continues to work.
The PR also removes the outdated `set_library_suggestions` override from `MathlibTest/RegisterTryTactic.lean`, and replaces the `grind +suggestions` docstring examples with `grind`. `Mathlib.Tactic.DuplicateDecls` now imports `Lean.Meta.CompletionName` directly.
Discussion: [#lean4 > lean4#15159 causes significant regression in MathlibTests](https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/lean4.2315159.20causes.20significant.20regression.20in.20MathlibTests)
🤖 Generated with [Claude Code](https://claude.com/claude-code)
|
t-meta |
4/10 |
Mathlib/Init.lean,Mathlib/Tactic/DuplicateDecls.lean,Mathlib/Tactic/TacticAnalysis/Declarations.lean,MathlibTest/RegisterTryTactic.lean |
4 |
3 |
['JovanGerb', 'github-actions', 'leanprover-radar'] |
nobody |
2-58 2 days ago |
2-21603 2 days ago |
2-21324 2 days |
0 |
| 41432 |
SnirBroshi author:SnirBroshi |
chore(Combinatorics/SimpleGraph/Paths): spell `getVert` injectivity lemmas using `Set` intervals |
e.g. replace `{i | i ≤ p.length}` with `Iic p.length` in `IsPath.getVert_injOn`, which is the canonical spelling.
Proofs using `Set.mem_setOf`/`Set.mem_setOf_eq` had to be fixed, and got golfed along the way.
I also rewrote the proof of `IsPath.getVert_injOn` since it seemed too long.
---
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
29/60 |
Mathlib/Combinatorics/SimpleGraph/Connectivity/Subgraph.lean,Mathlib/Combinatorics/SimpleGraph/Paths.lean |
2 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
1-85252 1 day ago |
75-21548 75 days ago |
86-51731 86 days |
1 |
| 36086 |
Multramate author:Multramate |
feat(Algebra): add liftEquiv for groups, rings, algebras, and adjoin roots |
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
49/1 |
Mathlib/Algebra/Polynomial/Bivariate.lean,Mathlib/GroupTheory/QuotientGroup/Defs.lean,Mathlib/RingTheory/AdjoinRoot.lean,Mathlib/RingTheory/Ideal/Quotient/Operations.lean |
4 |
10 |
['CBirkbeck', 'Multramate', 'artie2000', 'dagurtomas', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
1-82691 1 day ago |
15-20537 15 days ago |
30-38278 30 days |
1 |
| 44306 |
grunweg author:grunweg |
chore: rename check_title_labels in kebap-case |
This matches general conventions for such tools, as discussed on Zulip: https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Naming.20convention/near/451072858
---
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|
CI |
71/4 |
.github/workflows/build_template.yml,.github/workflows/check_pr_titles.yaml,lakefile.lean,scripts/README.md,scripts/check-title-labels.lean,scripts/check_title_labels.lean |
6 |
16 |
['Vierkantor', 'github-actions', 'grunweg', 'mathlib-bors'] |
nobody |
1-82476 1 day ago |
1-85553 1 day ago |
2-1042 2 days |
0 |
| 41336 |
SnirBroshi author:SnirBroshi |
chore(Combinatorics/SimpleGraph/Girth): golf `egirth_top` using `cycleGraph` |
Golf `egirth_top` (#38529) using `cycleGraph_isContained_iff` (#35255)
Co-authored-by: Vlad Tsyrklevich <vlad@tsyrklevi.ch>
---
Speeds up the proof from ~120ms to ~30ms
(although it used to be ~600ms, not sure what happened, perhaps toolchains sped it up already)
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
5/11 |
Mathlib/Combinatorics/SimpleGraph/Girth.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
b-mehta assignee:b-mehta |
1-81361 1 day ago |
16-69016 16 days ago |
89-77752 89 days |
0 |
| 43245 |
SnirBroshi author:SnirBroshi |
chore(GroupTheory/Archimedean): spell cyclic results using `IsCyclic` |
Replaces `∃ a, H = closure {a}` with `IsCyclic H`, and some `closure {a}` with `zpowers a`.
---
Renamed decls to follow the naming convention.
To avoid large imports, `cyclic_of_isolated_one` was moved from `GroupTheory/Archimedean` to `GroupTheory/ArchimedeanDensely`, and `dense_or_cyclic`/`dense_xor_cyclic`/`dense_iff_ne_zpowers` were moved from `Topology/Algebra/Order/Archimedean` to `Topology/Algebra/Order/ArchimedeanDiscrete`.
`Int.subgroup_cyclic` follows trivially from `AddSubgroup.isAddCyclic` (as the module docstring mentions) so it was moved next to it and deprecated.
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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
137/124 |
Mathlib/GroupTheory/Archimedean.lean,Mathlib/GroupTheory/ArchimedeanDensely.lean,Mathlib/GroupTheory/SpecificGroups/Cyclic.lean,Mathlib/NumberTheory/ModularForms/Cusps.lean,Mathlib/Topology/Algebra/Order/Archimedean.lean,Mathlib/Topology/Algebra/Order/ArchimedeanDiscrete.lean,Mathlib/Topology/Instances/AddCircle/DenseSubgroup.lean,docs/undergrad.yaml |
8 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
mattrobball assignee:mattrobball |
1-81265 1 day ago |
1-83176 1 day ago |
29-30263 29 days |
0 |
| 40901 |
vihdzp author:vihdzp |
feat: zero-dimensional spaces |
We introduce an abbreviation `ZeroDimensionalSpace X = HasSmallInductiveDimensionLT 1`. We prove, in various forms, the characterization of these spaces as those that have a basis of clopen sets. We then use this to restate or generalize various results throughout the library, which were formerly writing down the `IsTopologicalBasis {X | IsClopen X}` condition in full.
---
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- [x] depends on: #40897
- [x] depends on: #42271
Moved from #37444.
This diff is somewhat large, but a large portion of it is trival typeclass generalization in theorems from the `Profinite` file, and moving them elsewhere.
[](https://gitpod.io/from-referrer/)
|
t-topology
large-import
tech debt
maintainer-merge
|
363/298 |
Mathlib/Topology/Algebra/ClopenNhdofOne.lean,Mathlib/Topology/Category/Profinite/Basic.lean,Mathlib/Topology/ClopenBox.lean,Mathlib/Topology/Connected/TotallyDisconnected.lean,Mathlib/Topology/Metrizable/Basic.lean,Mathlib/Topology/Separation/CompletelyRegular.lean,Mathlib/Topology/Separation/DisjointCover.lean,Mathlib/Topology/Separation/Lemmas.lean,Mathlib/Topology/Separation/Profinite.lean,Mathlib/Topology/Separation/Regular.lean,Mathlib/Topology/SmallInductiveDimension.lean,Mathlib/Topology/UniformSpace/Uniformizable.lean |
12 |
42 |
['felixpernegger', 'github-actions', 'jjdishere', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'plp127', 'vihdzp'] |
jjdishere assignee:jjdishere |
1-77584 1 day ago |
1-79136 1 day ago |
42-46692 42 days |
1 |
| 44288 |
artie2000 author:artie2000 |
feat(Algebra/Ring): sums of squares in a formally real ring form a positive cone |
* Prove that sums of squares in a formally real ring form a positive cone
* Add helper lemma relating the additive submonoid and subsemiring of sums of squares
---
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|
t-algebra label:t-algebra$ |
15/2 |
Mathlib/Algebra/Ring/IsFormallyReal.lean,Mathlib/Algebra/Ring/SumsOfSquares.lean |
2 |
1 |
['github-actions', 'vihdzp'] |
nobody |
1-77176 1 day ago |
3-26859 3 days ago |
3-26580 3 days |
0 |
| 35548 |
gasparattila author:gasparattila |
fix(Tactic/FunProp): do not unfold semireducible definitions in the presence of projections |
Currently, `fun_prop` incorrectly unfolds semireducible definitions when a projection or recursor is applied. This PR fixes this by switching to `whnfR` together with `Lean.Meta.withCanUnfoldPred` for the custom unfolding logic.
Unfortunately, there are many proofs which rely on this bug. To avoid breaking proofs, the option `fun_prop.projDefaultTransparency` is added for locally restoring the previous behavior. Removing the uses of this option is left for future PRs.
---
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|
t-meta
tech debt
increases-technical-debt
|
114/53 |
Mathlib/Analysis/Matrix/Normed.lean,Mathlib/Analysis/Normed/Lp/ProdLp.lean,Mathlib/Condensed/Light/TopCatAdjunction.lean,Mathlib/Condensed/TopCatAdjunction.lean,Mathlib/Geometry/Convex/ConvexSpace/PathConnectedSpaceStdSimplex.lean,Mathlib/NumberTheory/Harmonic/ZetaAsymp.lean,Mathlib/NumberTheory/ModularForms/Bounds.lean,Mathlib/Tactic/FunProp/Core.lean,Mathlib/Tactic/FunProp/FunctionData.lean,Mathlib/Tactic/FunProp/Mor.lean,Mathlib/Tactic/FunProp/Theorems.lean,Mathlib/Tactic/FunProp/Types.lean,Mathlib/Topology/Algebra/AffineSubspace.lean,Mathlib/Topology/Algebra/ConstMulAction.lean,Mathlib/Topology/Algebra/Constructions.lean,Mathlib/Topology/Algebra/ContinuousAffineEquiv.lean,Mathlib/Topology/Algebra/Field.lean,Mathlib/Topology/Algebra/Group/ContinuousDiv.lean,Mathlib/Topology/Algebra/Group/ContinuousInv.lean,Mathlib/Topology/Algebra/Group/Matrix.lean,Mathlib/Topology/Algebra/Group/Torsor.lean,Mathlib/Topology/Algebra/Group/Units.lean,Mathlib/Topology/Algebra/Module/ContinuousLinearMap/Positive.lean,Mathlib/Topology/Algebra/Module/Equiv/Basic.lean,Mathlib/Topology/Algebra/Module/Equiv/Prod.lean,Mathlib/Topology/Algebra/Module/Equiv/Submodule.lean,Mathlib/Topology/Algebra/Module/IsWeak.lean,Mathlib/Topology/Algebra/Module/Spaces/WeakBilin.lean,Mathlib/Topology/Category/TopCat/Limits/Basic.lean,Mathlib/Topology/Constructions/SumProd.lean,Mathlib/Topology/ContinuousMap/Algebra.lean,Mathlib/Topology/Homeomorph/Lemmas.lean,Mathlib/Topology/Semicontinuity/Michael.lean,MathlibTest/FunPropMinimal.lean |
34 |
14 |
['DavidLedvinka', 'JovanGerb', 'gasparattila', 'github-actions', 'j-loreaux', 'lecopivo', 'mathlib-merge-conflicts'] |
joneugster assignee:joneugster |
1-77019 1 day ago |
2-35918 2 days ago |
38-3730 38 days |
0 |
| 41218 |
SnirBroshi author:SnirBroshi |
feat(SimpleGraph/Star): the star graph is the only triangle-free graph with a universal vertex |
- `starGraph r |>.CliqueFree 3`
- `G.IsUniversal v → G.CliqueFree 3 → G = starGraph v`
- `G.IsUniversal v → (G.IsAcyclic ↔ G.CliqueFree 3)`
---
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|
t-combinatorics |
28/5 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Star.lean |
2 |
7 |
['Parcly-Taxel', 'SnirBroshi', 'github-actions', 'mathlib-merge-conflicts', 'vlad902'] |
b-mehta assignee:b-mehta |
1-77017 1 day ago |
18-78126 18 days ago |
89-36786 89 days |
0 |
| 41847 |
stalex444 author:stalex444 |
feat(Analysis/Matrix): tightness of the Tsirelson bound |
This file constructs the explicit real-Pauli CHSH tuple in 4×4 real matrices — X⊗1, Z⊗1, and (√2)⁻¹·(1⊗(X±Z)) — and proves it's a CHSH tuple. It also shows its CHSH operator sends the Bell vector ![1,0,0,1] to √2^3 times itself.
The PR also goes further than the request: √2^3 is the least constant bounding that operator in the Loewner order (via the scoped MatrixOrder instances + the existing tsirelson_inequality), so the constant in tsirelson_inequality cannot be improved.
Small honest caveat worth stating: the "over every algebra" corollary quantifies over Type (universe-0), since hypotheses can't quantify universes; the concrete least-constant statement is universe-free.
This Lean code was drafted with the help of AI (Claude Code). I reviewed the file; built it locally against current Mathlib master and confirmed that it compiled.
---
Questions for reviewers:
- happy to make B₀' and B₁' private if preferred
- happy to provide a ℂ-matrix version if that's more useful
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|
new-contributor
LLM-generated
t-analysis
|
228/6 |
Mathlib.lean,Mathlib/Algebra/Star/CHSH.lean,Mathlib/Analysis/Matrix/CHSH.lean |
3 |
9 |
['github-actions', 'stalex444', 'vihdzp'] |
j-loreaux assignee:j-loreaux |
1-77016 1 day ago |
19-32019 19 days ago |
76-76915 76 days |
0 |
| 42138 |
mitchell-horner author:mitchell-horner |
feat(Combinatorics/SimpleGraph): copies into `⊤` and containment in the complete graph |
Add copy constructors mirroring the existing `Copy.bot` API.
---
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|
t-combinatorics
tech debt
|
116/31 |
Mathlib/Combinatorics/SimpleGraph/Copy.lean,Mathlib/Combinatorics/SimpleGraph/Maps.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Maps.lean |
3 |
29 |
['Ruben-VandeVelde', 'SnirBroshi', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mitchell-horner', 'vlad902'] |
joneugster assignee:joneugster |
1-77015 1 day ago |
5-66209 5 days ago |
47-28485 47 days |
0 |
| 42669 |
kris-gaudel author:kris-gaudel |
feat(Analysis/Convex): add `ShapleyFolkman` lemma |
Closes https://github.com/leanprover-community/mathlib4/issues/14427
Formalizes the Shapley-Folkman Lemma, uses the proof outlined [here](https://en.wikipedia.org/wiki/Shapley%E2%80%93Folkman_lemma#Proofs) (Via reduction from Carathéodory's theorem) |
t-analysis
new-contributor
|
346/0 |
Mathlib.lean,Mathlib/Analysis/Convex/ShapleyFolkman.lean |
2 |
3 |
['github-actions'] |
j-loreaux assignee:j-loreaux |
1-77014 1 day ago |
51-2420 51 days ago |
51-2141 51 days |
0 |
| 43051 |
j-loreaux author:j-loreaux |
feat: the non-unital Stone–Weierstrass theorem |
Taken from the module documentation:
The Stone-Weierstrass theorem
(`ContinuousMap.subalgebra_topologicalClosure_eq_top_of_separatesPoints`) guarantees that a
(star) subalgebra of `C(X, 𝕜)`, for `X` compact and `RCLike 𝕜`, which separates points is dense.
The non-unital version is a statement about non-unital (star) subalgebras of `C₀(X, 𝕜)`, the
continuous functions vanishing at infinity on a not-necessarily-compact space `X`. In particular,
a non-unital (star) subalgebra of `C₀(X, 𝕜)` which separates points and is **nowhere vanishing**
(see `Set.NowhereVanishing`) is dense.
We deduce these from the unital versions by passing to the one-point compactification. There
are natural maps `ZeroAtInftyContinuousMap.toOnePoint : C₀(X, R) → C(OnePoint X, R)` sending
`f : C₀(X, R)` to the extension to `OnePoint X` that takes the value `f ∞ = 0`, and in the reverse
direction `ContinuousMap.toZeroAtInfty : C(OnePoint X, R) → C₀(X, R)` sending `f : C(OnePoint X, R)`
to the restriction `fun x : X ↦ f ↑x - f ∞`. The former is a non-unital algebra homomorphism, and
the latter is a continuous linear map (Lipschitz with constant `2`) which maps all the constant
functions to zero. Given a subalgebra `S` of `C₀(X, R)` which is nowhere vanishing and separates
points, the (non-unital) subalgebra `S' := map toOnePoint S` also separates points so the (unital)
subalgebra `adjoin R S'` also separates points, and by the unital version of Stone–Weierstrass
is dense in `C(OnePoint X, R)`. As a submodule, the `adjoin R S' = R ∙ 1 ⊔ S'`. Mapping this
back to `C₀(X, R)` we find that `toZeroAtInfty (adjoin R S') = ⊥ ⊔ toZeroAtInfty S' = S`
since `f.toOnePoint.toZeroAtInfty = f` for all `f : C₀(X, R)`. Since `toZeroAtInfty` is a continuous
surjection, `S` must be dense because `adjoin R S'` is dense.
---
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|
t-topology |
285/1 |
Mathlib.lean,Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean,Mathlib/Algebra/Notation/Support.lean,Mathlib/Algebra/Star/NonUnitalSubalgebra.lean,Mathlib/Topology/Algebra/Algebra.lean,Mathlib/Topology/Algebra/NonUnitalAlgebra.lean,Mathlib/Topology/Algebra/NonUnitalStarAlgebra.lean,Mathlib/Topology/Algebra/StarSubalgebra.lean,Mathlib/Topology/ContinuousMap/NonUnitalStoneWeierstrass.lean,Mathlib/Topology/ContinuousMap/ZeroAtInftyUnitization.lean |
10 |
1 |
['github-actions'] |
ADedecker assignee:ADedecker |
1-77011 1 day ago |
40-6236 40 days ago |
40-5997 40 days |
0 |
| 43139 |
plp127 author:plp127 |
feat: make `MvPFunctor` universe-polymorphic |
We mirror what is done for the univariate `PFunctor` and make `MvPFunctor` universe-polymorphic. Certain declarations are kept not universe polymorphic for now, including `MvQPF` and many things relating to the `W` and `M` types being fixpoints.
---
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|
t-data |
130/105 |
Mathlib/Data/PFunctor/Multivariate/Basic.lean,Mathlib/Data/PFunctor/Multivariate/M.lean,Mathlib/Data/PFunctor/Multivariate/W.lean,Mathlib/Data/QPF/Multivariate/Basic.lean,Mathlib/Data/QPF/Multivariate/Constructions/Cofix.lean,Mathlib/Data/QPF/Multivariate/Constructions/Fix.lean |
6 |
1 |
['github-actions'] |
joneugster assignee:joneugster |
1-77010 1 day ago |
36-9730 36 days ago |
36-9451 36 days |
0 |
| 42895 |
cameronfreer author:cameronfreer |
feat(SetTheory/Ordinal): add lift_sSup and lift_iSup |
Add `InitialSeg.map_sSup` and `InitialSeg.map_iSup` for conditionally complete linear orders with bottom. Specializing these to `Ordinal.liftInitialSeg` gives `Ordinal.lift_sSup`, `Ordinal.lift_iSup`, `Ordinal.lift_iSup_le`, and `Ordinal.lift_iSup_le_iff`.
The `sSup` theorem handles the empty set using preservation of bottom and the nonempty case using normality. The `iSup` theorem is derived from it. Both use an explicit boundedness hypothesis; in particular, `lift_iSup` assumes `BddAbove (Set.range f)` rather than requiring the index type to be small.
🤖 This PR was developed with assistance from Claude and GPT models, using [lean4-skills](https://github.com/cameronfreer/lean4-skills) and [lean-lsp-mcp](https://github.com/oOo0oOo/lean-lsp-mcp).
|
t-set-theory
new-contributor
LLM-generated
|
40/0 |
Mathlib/Order/IsNormal.lean,Mathlib/SetTheory/Ordinal/Family.lean |
2 |
11 |
['cameronfreer', 'github-actions', 'plp127', 'vihdzp'] |
nobody |
1-76114 1 day ago |
44-34185 44 days ago |
44-34860 44 days |
0 |
| 42041 |
FrankieNC author:FrankieNC |
feat(Topology/MetricSpace): minkowski (box-counting) dimension |
Define the lower and upper Minkowski (box-counting) dimensions of a set in a pseudo-emetric space via covering numbers, prove the basic API (monotonicity, closure invariance, unions, finite sets), and show `dimH s ≤ lowerMinkowskiDim s ≤ upperMinkowskiDim s` (Falconer, Fractal Geometry, Ch. 3). |
t-topology |
354/0 |
Mathlib.lean,Mathlib/Topology/MetricSpace/Cover.lean,Mathlib/Topology/MetricSpace/CoveringNumbers.lean,Mathlib/Topology/MetricSpace/MinkowskiDimension.lean,docs/references.bib |
5 |
5 |
['github-actions', 'wwylele'] |
nobody |
1-76113 1 day ago |
23-45395 23 days ago |
69-1220 69 days |
0 |
| 43396 |
yuanyi-350 author:yuanyi-350 |
feat(AlgebraicTopology/FundamentalGroupoid): prove the generation part of van Kampen's theorem |
- [ ] depends on #43400 |
t-algebraic-topology |
220/0 |
Mathlib.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/VanKampen.lean |
2 |
1 |
['github-actions'] |
nobody |
1-76113 1 day ago |
28-34915 28 days ago |
28-34636 28 days |
0 |
| 41101 |
YaelDillies author:YaelDillies |
feat(Data/{ENat,ENNReal,EReal}): missing coercion lemmas |
From MeanFourier
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|
t-data |
30/0 |
Mathlib/Basic/Real/ENatENNReal.lean,Mathlib/Data/ENat/Basic.lean,Mathlib/Data/EReal/Basic.lean |
3 |
15 |
['YaelDillies', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
1-76112 1 day ago |
23-17416 23 days ago |
90-55500 90 days |
0 |
| 40368 |
Sanghyeok0 author:Sanghyeok0 |
feat: add confluence predicates for relations |
This PR adds a minimal relation-level API for confluence-style properties:
* `Relation.IsDiamond`
* `Relation.IsConfluent`
* `Relation.IsChurchRosser`
It also adds the basic API connecting these predicates:
* `Relation.ReflTransGen.to_eqvGen`
* `Relation.Join.le_eqvGen`
* `Relation.IsChurchRosser.isConfluent`
* `Relation.IsConfluent.isChurchRosser`
* `Relation.IsChurchRosser.join_reflTransGen_eq_eqvGen`
The main downstream application is the polynomial-reduction development in
#41475. There, polynomial reduction is treated as an ordinary relation on
`MvPolynomial`, and these predicates are used to formulate confluence and the
Church--Rosser property.
A more general rewriting API exists in CSLib. This PR does not attempt to
upstream that API wholesale; its scope is intentionally limited to the
declarations needed by the downstream polynomial application.
The earlier version of this PR also introduced
`Relation.StronglyConfluent` and additional equivalence packaging. Those
declarations have been removed to keep this PR small and application-driven.
Reference: Becker, Weispfenning, and Kredel,
*Gröbner Bases: A Computational Approach to Commutative Algebra*.
AI usage disclosure:
I used OpenAI Codex to generate initial drafts of the definitions, theorem statements, proof scripts, and docstrings. I made the final decisions on the mathematical scope and API design, reviewed the generated code and final changes, and made a few edits to statements and docstrings.
---
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|
t-logic
new-contributor
tech debt
LLM-generated
|
103/25 |
Mathlib/GroupTheory/FreeGroup/Basic.lean,Mathlib/Logic/Relation.lean |
2 |
36 |
['Sanghyeok0', 'SnirBroshi', 'chenson2018', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
1-76111 1 day ago |
25-8100 25 days ago |
96-84136 96 days |
1 |
| 41918 |
CoolRmal author:CoolRmal |
feat(Topology/Order): separability is hereditary for linearly ordered topological spaces |
In this PR we prove that
1. `isTopologicalBasis_isOpen_ordConnected`: in a linearly ordered topological space, every point of an open set `U` has an open `Set.OrdConnected` neighbourhood contained in `U`.
2. `countable_setOf_isolated_subtype`: in a separable linearly ordered topological space, the points of a subset `s` that are isolated in the subspace `s` form a countable set.
3. A subset of a separable linearly ordered topological space is separable in the subspace topology. This is proved as an instance.
The material was developed for showing the measurability of the pathwise variation of a continuous stochastic process in https://github.com/RemyDegenne/brownian-motion/pull/494. Created with the help of Claude Code, carefully reviewed and golfed by myself.
|
t-topology |
153/0 |
Mathlib.lean,Mathlib/Topology/Closure.lean,Mathlib/Topology/Order/Separable.lean |
3 |
2 |
['CoolRmal', 'felixpernegger', 'github-actions'] |
nobody |
1-76110 1 day ago |
63-69421 63 days ago |
74-63610 74 days |
1 |
| 41915 |
theebayuser author:theebayuser |
feat(Data/List): infixes, the enumerator of contiguous factors |
Hello, this PR extends `Mathlib/Data/List/Infix.lean` with the missing third enumerator alongside `inits` and `tails`:
* `infixes l` — all contiguous factors (infixes) of `l`, with multiplicity, as every prefix of every suffix, and
* its membership characterization and basic API:
* `mem_infixes` (`@[simp]`) — `s ∈ t.infixes ↔ s <:+: t`, the infix analogue of `mem_inits`/`mem_tails`
* `infixes_nil`, `infixes_cons`, `length_infixes_cons`, `nil_mem_infixes`, `self_mem_infixes`, `infixes_ne_nil`.
This gives `∃ s, s <:+: t ∧ P s` and `∀ s, s <:+: t → P s` executable bounded-search forms (e.g. deciding repetition-freeness of a fixed word by `decide`), which a future follow-up PR that I plan to work on will use.
AI disclosure: This code was mostly generated by Claude Fable 5 and Opus 4.8 as part of my larger project on combinatorics on words, which I then reviewed and revised to contribute to mathlib.
|
t-data
LLM-generated
new-contributor
|
37/2 |
Mathlib/Data/List/Infix.lean |
1 |
4 |
['github-actions', 'mathlib-merge-conflicts', 'theebayuser'] |
nobody |
1-76109 1 day ago |
24-11488 24 days ago |
74-65511 74 days |
0 |
| 42871 |
WilliamCoram author:WilliamCoram |
feat: multivariate gauss norm API and a lemma to discharge hdom in mul_eq_mul |
We add some missing API as well as lemmas that compute explicit values of the gauss norm (e.g. on monomials, X, C). Finally, we add a lemma that will be used to discharge `hdom` in `mul_eq_mul` in applications.
---
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|
t-ring-theory |
118/4 |
Mathlib/RingTheory/MvPowerSeries/GaussNorm.lean |
1 |
10 |
['WilliamCoram', 'github-actions', 'riccardobrasca'] |
nobody |
1-76109 1 day ago |
45-29199 45 days ago |
45-28920 45 days |
0 |
| 39847 |
vihdzp author:vihdzp |
chore: redefine `Ordinal.preOmega` using `Order.enum` |
The plan is to deprecate `Ordinal.enumOrd` in favor of `Order.enum`.
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[](https://gitpod.io/from-referrer/)
|
t-set-theory
maintainer-merge
|
25/24 |
Counterexamples/Omega1Space.lean,Mathlib/Order/Cofinal.lean,Mathlib/SetTheory/Cardinal/Aleph.lean |
3 |
6 |
['YaelDillies', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
1-75281 1 day ago |
1-78042 1 day ago |
67-76287 67 days |
0 |
| 44216 |
peabrainiac author:peabrainiac |
feat(Topology): add `IsCozeroSet` |
Define a predicate `IsCozeroSet` for sets in topological spaces that are the support of some continuous function to $\mathbb R$. We prove:
* Every cozero set is open, and in perfectly normal spaces every open set is a cozero set.
* Finite intersections and locally finite unions of cozero sets are cozero sets.
* Preimages of cozero sets under continuous functions are cozero sets.
* Images and coimages of cozero sets under open proper maps are cozero sets.
---
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Taken from [classifying-bundles](https://peabrainiac.github.io/classifying-bundles/docs/ClassifyingBundles/IsCozeroSet), where this API was useful for working with numerable covers. |
t-topology |
227/0 |
Mathlib.lean,Mathlib/Algebra/BigOperators/Finprod.lean,Mathlib/Algebra/Order/Group/Indicator.lean,Mathlib/Topology/IsCozeroSet.lean |
4 |
1 |
['github-actions'] |
nobody |
1-74611 1 day ago |
5-76363 5 days ago |
5-77338 5 days |
0 |
| 41940 |
mcdoll author:mcdoll |
chore(Dynamics): deprecate `IsForwardInvariant` in favour of new `Set.IsInvariantOn` |
We define a predicate `Set.IsInvariantOn` that generalizes `IsInvariant` and as a special case contains `IsForwardInvariant`. The later is hence removed. We also move `IsInvariant` into the `Set` namespace to allow for dot-notation.
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|
t-dynamics
dynsys
|
51/17 |
Mathlib/Dynamics/Flow.lean,Mathlib/Dynamics/OmegaLimit.lean |
2 |
5 |
['github-actions', 'mathlib-merge-conflicts', 'mcdoll', 'sgouezel'] |
sgouezel assignee:sgouezel |
1-74276 1 day ago |
1-74993 1 day ago |
55-78906 55 days |
0 |
| 42025 |
NoneMore author:NoneMore |
feat(ModelTheory): add counting formulas |
Add formula constructors expressing at least, at most, and exactly finitely many realizations, together with their semantic characterizations.
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AI disclosure: I used Codex to generate the Lean declarations and documentation in this PR.
[](https://gitpod.io/from-referrer/)
|
large-import
t-logic
|
124/0 |
Mathlib/Data/Set/Card.lean,Mathlib/ModelTheory/Semantics.lean,Mathlib/ModelTheory/Syntax.lean |
3 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
1-73271 1 day ago |
1-73273 1 day ago |
1-75527 1 day |
2 |
| 43908 |
BryceT233 author:BryceT233 |
feat(Analysis/Normed/Module): real scalars on a complete normed `ℚ`-algebra |
We show that a complete normed `ℚ`-algebra carries a unique `NormedAlgebra ℝ 𝔸` structure.
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|
t-analysis |
65/0 |
Mathlib/Analysis/Normed/Module/Completion.lean |
1 |
1 |
['github-actions'] |
nobody |
1-73159 1 day ago |
13-77921 13 days ago |
13-77642 13 days |
0 |
| 42154 |
plp127 author:plp127 |
feat(RingTheory,FieldTheory): add instances for `adjoin` |
Provide instances of `Algebra.FiniteType` and `Module.Finite` and `Algebra.IsIntegral` for `Algebra.adjoin`. Provide instances of `Algebra.EssFiniteType` and `FiniteDimensional` for `IntermediateField.adjoin`.
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|
t-ring-theory |
16/1 |
Mathlib/FieldTheory/IntermediateField/Adjoin/Algebra.lean,Mathlib/FieldTheory/IntermediateField/Adjoin/Basic.lean,Mathlib/RingTheory/FiniteType.lean,Mathlib/RingTheory/IntegralClosure/IsIntegralClosure/Basic.lean |
4 |
7 |
['github-actions', 'leanprover-radar', 'mathlib-merge-conflicts', 'plp127', 'vihdzp'] |
nobody |
1-72483 1 day ago |
43-82306 43 days ago |
66-16332 66 days |
1 |
| 43747 |
yuanyi-350 author:yuanyi-350 |
feat(Analysis/LocallyConvex): characterize dense submodules by annihilators |
used in https://github.com/LeanMachineLearning/LML/pull/246 |
t-analysis
large-import
|
54/0 |
Mathlib/Analysis/LocallyConvex/Polar.lean,Mathlib/Analysis/LocallyConvex/Separation.lean |
2 |
1 |
['github-actions'] |
nobody |
1-70922 1 day ago |
19-55287 19 days ago |
19-55008 19 days |
0 |
| 41555 |
BryceT233 author:BryceT233 |
feat(Algebra/Order/Antidiagonal): connect `Finset.HasAntidiagonal` with `Filter.TendstoCofinite` |
This PR connects `Finset.HasAntidiagonal` with `Filter.TendstoCofinite` and cleans up `TendstoCofinite.lean`.
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|
tech debt
t-algebra
label:t-algebra$ |
34/12 |
Mathlib/Algebra/Order/Antidiag/Prod.lean,Mathlib/Order/Filter/TendstoCofinite.lean |
2 |
13 |
['BryceT233', 'github-actions', 'jcommelin', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'plp127'] |
nobody |
1-70766 1 day ago |
1-73203 1 day ago |
28-32862 28 days |
0 |
| 41472 |
BryceT233 author:BryceT233 |
feat(Algebra): total monoid algebra |
This PR introduces `TotalMonoidAlgebra` and `TotalAddMonoidAlgebra`, which is part of the broader plan on [reworking Finsupp, MonoidAlgebra, HahnSeries. PowerSeries](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Reworking.20Finsupp.2C.20MonoidAlgebra.2C.20HahnSeries.2E.20PowerSeries/with/608547586).
We mirror the construction in `MonoidAlgebra/Defs.lean`, but drops the finiteness condition on the support of the elements. In the literature, this construction is called the "large algebra of a monoid" or "total algebra" (see https://en.wikipedia.org/wiki/Total_algebra). When the underlying monoid is finitely supported functions valued in `ℕ`, this construction corresponds to the multivariate formal power series in the large sense, where arbitrary infinite sums of monomials are permitted.
The algebraic hierarchy in this file is completely identical to that of`MonoidAlgebra/Defs.lean`. It builds up the algebraic structure from basic typeclasses like `One` and `SMul`, through `Mul`, `NonUnitalNonAssocSemiring`, and ultimately to `Ring` and `CommRing`. Despite the identical hierarchy, the underlying implementation requires several key departures from `MonoidAlgebra`:
1. Coefficients are represented using standard functions (`M → R`) rather than finitely supported functions (`M →₀ R`). Because of this, this file provides no induction principles or lemmas related to induction principles of `Finsupp`.
2. The construction uses `Pi.single` instead of `Finsupp.single` to represent individual terms. Because of how `Pi.single` is defined, this imposes a `DecidableEq M` requirement on many declarations, particularly whenever the identity element is required.
3. To ensure the convolution product is well-defined (i.e., the coefficient sum is finite), we require the underlying monoid to satisfy the `Finset.HasMulAntidiagonal M` condition. Because of this, proofs concerning multiplication rely heavily on the `Finset.sum`.
4. When the underlying domain `M` is a group, the `HasMulAntidiagonal` condition is essentially equivalent to the group being finite. Furthermore, when `M` is finite, the total monoid algebra is equivalent to the standard `MonoidAlgebra` (#Todo). Because it reduces to the standard finite case, this file omits a dedicated group section entirely.
---
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t-algebra label:t-algebra$ |
864/0 |
Mathlib.lean,Mathlib/Algebra/Group/Prod.lean,Mathlib/Algebra/Notation/Pi/Basic.lean,Mathlib/Algebra/Order/Antidiag/Prod.lean,Mathlib/Algebra/TotalMonoidAlgebra/Defs.lean |
5 |
7 |
['github-actions', 'mathlib-bors', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
1-69491 1 day ago |
1-74519 1 day ago |
31-71105 31 days |
0 |
| 43947 |
kedlaya author:kedlaya |
feat(FieldTheory): Artin-Schreier extensions of fields |
Implement the Artin-Schreier description of cyclic degree-p extensions of fields of characteristic p. Split off from from #41911. |
new-contributor
t-algebra
label:t-algebra$ |
286/0 |
Mathlib.lean,Mathlib/Algebra/Polynomial/FieldDivision.lean,Mathlib/Algebra/Polynomial/Splits.lean,Mathlib/FieldTheory/ArtinSchreierExtension.lean,Mathlib/FieldTheory/Finite/Basic.lean |
5 |
58 |
['JX-Mo', 'artie2000', 'github-actions', 'kedlaya', 'plp127', 'vihdzp'] |
artie2000 assignee:artie2000 |
1-68654 1 day ago |
4-22447 4 days ago |
13-12470 13 days |
1 |
| 44310 |
artie2000 author:artie2000 |
feat(FieldTheory): field with no nontrivial extensions is algebraically closed |
---
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|
t-algebra label:t-algebra$ |
13/0 |
Mathlib/FieldTheory/IsAlgClosed/Basic.lean |
1 |
3 |
['JX-Mo', 'github-actions'] |
nobody |
1-67379 1 day ago |
1-68964 1 day ago |
2-70805 2 days |
0 |
| 44287 |
artie2000 author:artie2000 |
feat: inductive theorems for odd-degree polynomials |
* Prove that every odd-degree polynomial has a monic irreducible odd-degree factor
* Prove that, if there are no nonlinear irreducible odd-degree polynomials over a particular field, then every odd-degree polynomial has a root
* Add `simp` lemma reducing `Irreducible (normalise x)` to `Irreducible x`
---
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|
t-algebra
t-ring-theory
label:t-algebra$ |
57/1 |
Mathlib/Algebra/GCDMonoid/Basic.lean,Mathlib/Algebra/Polynomial/FieldDivision.lean,Mathlib/RingTheory/Polynomial/UniqueFactorization.lean |
3 |
9 |
['artie2000', 'github-actions', 'vihdzp'] |
nobody |
1-65582 1 day ago |
3-28024 3 days ago |
3-27745 3 days |
1 |
| 42472 |
yuanyi-350 author:yuanyi-350 |
feat(Topology/Homotopy/Lifting): add bijectivity results for monodromy evaluation |
|
t-topology |
40/0 |
Mathlib/Topology/Homotopy/Lifting.lean |
1 |
1 |
['github-actions'] |
nobody |
1-65062 1 day ago |
57-48601 57 days ago |
57-48322 57 days |
0 |
| 42507 |
yuanyi-350 author:yuanyi-350 |
feat(Topology/MetricSpace): prove Caristi's fixed-point theorem |
|
t-topology |
77/2 |
Mathlib/Topology/MetricSpace/Contracting.lean |
1 |
1 |
['github-actions'] |
ADedecker assignee:ADedecker |
1-65045 1 day ago |
56-13349 56 days ago |
56-13070 56 days |
0 |
| 44334 |
JovanGerb author:JovanGerb |
feat: `@[gcongr]` for `eq_top_mono` and friends |
This PR tags lemma `eq_top_mono` and various similar lemmas with `@[gcongr]`. This lets us use `grw` in places where we couldn't before. The supported maximal/minimal constants are `⊤`, `⊥`, `(∅ : Set _)`, `Set.univ`, `0`, `1`, each on either side of an equality `=` and an inequality `≠`.
`subset_eq_empty` is renamed to `eq_empty_of_subset`, to match `eq_univ_of_subset`.
Performance note: `@[gcongr]` lemmas are indexed only by the relation and head constand, which for these lemmas is `=` and `→`, or `≠` and `→`. So, it will need to try all 12 available lemmas in these cases. I do not think that this will cause any noticeable performance issue. If it does, we can consider a more detailed indexing of `@[gcongr]` lemmas.
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|
|
64/16 |
Mathlib/Algebra/Order/IsBotOne.lean,Mathlib/Data/Set/Basic.lean,Mathlib/Data/Set/Lattice/Bounded.lean,Mathlib/Order/BoundedOrder/Basic.lean,Mathlib/Order/SetDissipate.lean,Mathlib/Topology/Closure.lean,Mathlib/Topology/Compactness/Lindelof.lean,Mathlib/Topology/MetricSpace/Thickening.lean,Mathlib/Topology/Separation/Regular.lean,MathlibTest/Tactic/GRewrite.lean |
10 |
1 |
['github-actions'] |
nobody |
1-62036 1 day ago |
1-81307 1 day ago |
1-84202 1 day |
1 |
| 43965 |
YaelDillies author:YaelDillies |
feat(NumberTheory): `decide`, `#eval` and `norm_num` for Carmichael numbers |
Provide both an efficient decidability instance and a `norm_num` extension to decide whether a given literal is a Carmichael number.
This lets us prove that 561 is the smallest Carmichael number "in a computationally efficient manner". Deprecate the version of Korselt's criterion that was supposed to be used for this (but was less efficient than these new instance/extension).
Generated by Claude Opus in several rounds of review to optimise various parts of the algorithms and make sure that the decidability instance works for both `#eval` and `decide`. I haven't made much of an effort to clean the proofs (existing proofs internal to `norm_num` read like garbage to me anyway).
From FormalConjectures
Assisted-by: Claude Opus 5.1
---
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[](https://gitpod.io/from-referrer/)
|
t-number-theory
LLM-generated
t-meta
|
314/11 |
Mathlib/NumberTheory/CarmichaelNumber.lean,MathlibTest/NumberTheory/CarmichaelNumber.lean |
2 |
12 |
['Parcly-Taxel', 'SnirBroshi', 'YaelDillies', 'github-actions', 'leanprover-radar', 'vihdzp', 'wwylele'] |
nobody |
1-54572 1 day ago |
12-35066 12 days ago |
12-34787 12 days |
1 |
| 41111 |
erdkocak author:erdkocak |
feat(ModelTheory): add cardinal-generated substructure API |
This is the first PR in a sequence splitting #40561.
It adds a `CardinalLTGenerated` predicate for substructures, basic closure and map lemmas, and the finitely generated specialization.
Co-authored-by: Yağız Kaan Aydoğdu <y.kaan.aydogdu@gmail.com>
Co-authored-by: Yusuf Demir <yusufdemir12610@gmail.com>
Advised-by: Ayhan Günaydın <ayhan.gunaydin@bogazici.edu.tr>
Advised-by: Metin Ersin Arıcan <metin.arican@bogazici.edu.tr>
Please note that we utilized agentic AI tools (Claude Opus, ChatGPT Codex) during the development of this PR. Most of the proofs of the major theorems are direct translations from human-language source material (see the diff in `references.bib`) into Lean proofs using the mentioned AI tools. However, all design and formalization decisions were made by us. |
t-logic
new-contributor
LLM-generated
|
51/0 |
Mathlib/ModelTheory/FinitelyGenerated.lean,Mathlib/ModelTheory/Substructures.lean |
2 |
9 |
['NoahW314', 'erdkocak', 'felixpernegger', 'github-actions'] |
nobody |
1-52758 1 day ago |
89-45853 89 days ago |
95-43159 95 days |
5 |
| 44266 |
JovanGerb author:JovanGerb |
feat(Translate): improve translation heuristic |
This PR improves the translation heuristic in `to_additive`/`to_dual`.
When deciding whether to translate a constant `foo_mul`, we determine which argument is the `relevant_arg` of `foo_mul`, and then check whether the type in that argument should be translated. Free variables are always translated except for those specified in `(dont_translate := ...)`. For constants, there are three options: either it is always translated (`to_dual_do_translate`), never translated (`to_dual_dont_translate`), or the translation depends on the arguments of the constant. This third case is problematic: currently, we recursively look at all of the arguments, but this should really be determined by just one argument.
So, the solution is to only recurse into the one relevant argument of the type. If the constant already has a translation, then we know the `relevant_arg` already. Otherwise, default to the first argument. This default is sensible for types like `Option α` and `α × β`: we translate it if we translate `α`. If it should not be the first argument, this can be set manually with e.g. `to_additive self (relevant_arg := β)`.
This has several benefits:
- The function `shouldTranslate` doesn't need to visit so many expressions, so it doesn't need to use a cache anymore, and runs more quickly.
- `to_dual_ignore_args`/`to_additive_ignore_args` are not needed anymore and can be deprecated.
- We teach `to_dual` to not translate morphisms in `Type u`, because `Type u` is a fixed type. Previously, we couldn't do this because it would make the heuristic misfire. To make this work, we have to set `(relevant_arg := _)` in `FreeGroup`: this makes sense because `FreeGroup` can translate to `FreeAddGroup` no matter what the used type is.
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- [x] depends on: #44159
|
t-meta |
85/146 |
Mathlib/Geometry/Manifold/ContMDiffMap.lean,Mathlib/GroupTheory/FreeGroup/Basic.lean,Mathlib/Order/Minimal.lean,Mathlib/Tactic/ToAdditive.lean,Mathlib/Tactic/ToDual.lean,Mathlib/Tactic/Translate/Expr.lean,Mathlib/Tactic/Translate/ToAdditive.lean,Mathlib/Tactic/Translate/ToDual.lean,MathlibTest/Attribute/ToAdditive/Basic.lean |
9 |
6 |
['JovanGerb', 'github-actions', 'leanprover-radar', 'mathlib-dependent-issues'] |
nobody |
1-52559 1 day ago |
3-32819 3 days ago |
3-33390 3 days |
1 |
| 43633 |
Jun2028 author:Jun2028 |
feat(SetTheory/Ordinal): classify exponential principal ordinals |
Complete `` TODO: Prove that the exponential principal ordinals are `0`, `1`, `2`, `ω`, or `ε_ x` `` in [Mathlib/SetTheory/Ordinal/Principal.lean](https://github.com/leanprover-community/mathlib4/compare/master...Jun2028:mathlib4:feat/exponential-principal-classification?expand=1#diff-c700a68af59d576bafeeeac5211181f9ce129bdead444df6c9747344817103bd)
By the way, the original TODO was wrong because `1` is not an exponential principal ordinal (it requires $0^0=1<1$ which is false).
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|
t-set-theory
new-contributor
|
65/5 |
Mathlib/SetTheory/Ordinal/Principal.lean,Mathlib/SetTheory/Ordinal/Veblen.lean |
2 |
9 |
['Jun2028', 'github-actions', 'vihdzp'] |
nobody |
1-50618 1 day ago |
22-23729 22 days ago |
22-23450 22 days |
0 |
| 43669 |
SnirBroshi author:SnirBroshi |
doc(Topology): `wikidata` tags for some basics |
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[](https://gitpod.io/from-referrer/)
|
t-topology
documentation
|
19/3 |
Mathlib/Topology/Defs/Basic.lean,Mathlib/Topology/Defs/Filter.lean,Mathlib/Topology/Defs/Induced.lean,Mathlib/Topology/GDelta/Basic.lean,Mathlib/Topology/Homeomorph/Defs.lean,Mathlib/Topology/MetricSpace/Pseudo/Defs.lean |
6 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
1-50330 1 day ago |
2-120 1 day ago |
21-18785 21 days |
0 |
| 44346 |
justus-springer author:justus-springer |
doc(AlgebraicGeometry/EffectiveEpi): add stacks tag `023Q` |
Follow-up to #44313.
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|
t-algebraic-geometry |
1/0 |
Mathlib/AlgebraicGeometry/EffectiveEpi.lean |
1 |
1 |
['JX-Mo', 'github-actions'] |
nobody |
1-49940 1 day ago |
1-50680 1 day ago |
1-50401 1 day |
0 |
| 41666 |
alreadydone author:alreadydone |
feat(Order): constructors for DistribLattice and IsModularLattice |
Add three constructors for DistribLattice and one for IsModularLattice.
Co-authored-by: Aaron Liu @plp127
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[](https://gitpod.io/from-referrer/)
|
t-order |
189/98 |
Mathlib.lean,Mathlib/Order/Defs/Lattice.lean,Mathlib/Order/Lattice.lean,Mathlib/Order/Lattice/Constructor.lean,Mathlib/Order/ModularLattice.lean |
5 |
13 |
['SnirBroshi', 'alreadydone', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts', 'plp127'] |
nobody |
1-49892 1 day ago |
1-55008 1 day ago |
65-64822 65 days |
1 |
| 42995 |
jacob-greenfield author:jacob-greenfield |
feat: add `List.Pairwise.orderedInsert'`, `List.sortedLE_orderedInsert_lt`, and `List.sortedGE_orderedInsert_gt` |
Introduce a generalized `Pairwise.orderedInsert'` lemma to prove that `Pairwise r l` is maintained after performing an `orderedInsert` using a relation stronger than `r` under certain conditions. Prove `sortedLE_orderedInsert_lt`, showing that `l.orderedInsert (· < ·) a` preserves `SortedLE` for decidable total preorders (analogously for `sortedGE_orderedInsert_gt`). This is useful for inserting an element into a sorted list *behind* any other elements which compare equal.
---
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I was hoping to avoid `omit`, but that would require moving all of `Pairwise.orderedInsert'`, `Pairwise.orderedInsert`, `pairwise_insertionSort`, `sublist_insertionSort'`, `pair_sublist_insertionSort'`, and `mergeSort_eq_insertionSort` after `end sort` on line 365 and reintroducing all the section variables. I also considered moving `Pairwise.orderedInsert'` somewhere _before_ `variable {α β : Type*} (r : α → α → Prop) (s : β → β → Prop)` on line 30, but that would place it before `orderedInsert` is defined. "Omit" seemed like the least invasive approach.
[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
|
27/11 |
Mathlib/Data/List/Sort.lean |
1 |
8 |
['github-actions', 'jacob-greenfield', 'theebayuser'] |
joneugster assignee:joneugster |
1-48673 1 day ago |
41-67379 41 days ago |
41-67100 41 days |
0 |
| 43676 |
SnirBroshi author:SnirBroshi |
doc(Order): `wikidata` tags for some basics |
---
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|
t-order
documentation
|
52/5 |
Mathlib/Order/BoundedOrder/Basic.lean,Mathlib/Order/Bounds/Defs.lean,Mathlib/Order/Closure.lean,Mathlib/Order/CompleteLattice/Defs.lean,Mathlib/Order/CompletePartialOrder.lean,Mathlib/Order/Defs/Lattice.lean,Mathlib/Order/Defs/LinearOrder.lean,Mathlib/Order/Defs/PartialOrder.lean,Mathlib/Order/Defs/Unbundled.lean,Mathlib/Order/Disjoint.lean,Mathlib/Order/Filter/Defs.lean,Mathlib/Order/GaloisConnection/Defs.lean,Mathlib/Order/Ideal.lean,Mathlib/Order/Max.lean,Mathlib/Order/Monotone/Defs.lean |
15 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
1-47546 1 day ago |
3-25026 3 days ago |
21-10378 21 days |
0 |
| 44261 |
javgomzar author:javgomzar |
feat(Algebra/Category/Grp): free functor preserves monomorphisms |
Refactored the proof for AddCommGrpCat, so that it also works in GrpCat.
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|
t-algebra
new-contributor
label:t-algebra$ |
18/4 |
Mathlib/Algebra/Category/Grp/Adjunctions.lean |
1 |
14 |
['JX-Mo', 'github-actions', 'javgomzar'] |
nobody |
1-46142 1 day ago |
1-46142 1 day ago |
4-5184 4 days |
0 |
| 43888 |
kebekus author:kebekus |
feat: Liouville theorem for entire functions with polynomial growth |
As a corollary to the classic Liouville theorem, show that entire functions with polynomial growth are themselves polynomials.
This material is used in [Project VD](https://github.com/kebekus/ProjectVD), formalizing Value Distribution Theory for meromorphic functions on the complex plane. Claude Code was used to create this PR.
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|
t-analysis
LLM-generated
|
144/17 |
Mathlib/Analysis/Analytic/IsolatedZeros.lean,Mathlib/Analysis/Calculus/DSlope.lean,Mathlib/Analysis/Complex/Liouville.lean,Mathlib/Analysis/Polynomial/Basic.lean,Mathlib/Logic/Function/Const.lean |
5 |
8 |
['Vierkantor', 'github-actions', 'j-loreaux', 'kebekus'] |
nobody |
1-41085 1 day ago |
1-41085 1 day ago |
14-13091 14 days |
0 |
| 42342 |
artie2000 author:artie2000 |
feat: `membership` tactic |
* Add `membership` tactic / `grind` ruleset for closing substructure membership goals.
* Change tests for `aesop` `SetLike` ruleset into tests for the `membership` tacitc.
This is a rewrite of the `aesop` `SetLike` ruleset for `grind`.
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|
t-algebra
t-meta
label:t-algebra$ |
97/64 |
Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean,Mathlib/Algebra/Algebra/Subalgebra/Basic.lean,Mathlib/Algebra/Algebra/Subalgebra/Lattice.lean,Mathlib/Algebra/Field/Subfield/Basic.lean,Mathlib/Algebra/Field/Subfield/Defs.lean,Mathlib/Algebra/Group/Subgroup/Defs.lean,Mathlib/Algebra/Group/Subgroup/Lattice.lean,Mathlib/Algebra/Group/Submonoid/Basic.lean,Mathlib/Algebra/Group/Submonoid/Defs.lean,Mathlib/Algebra/Group/Subsemigroup/Basic.lean,Mathlib/Algebra/Group/Subsemigroup/Defs.lean,Mathlib/Algebra/Order/Ring/Ordering/Basic.lean,Mathlib/Algebra/Order/Ring/Ordering/Defs.lean,Mathlib/Algebra/Ring/Subring/Basic.lean,Mathlib/Algebra/Ring/Subring/Defs.lean,Mathlib/Algebra/Ring/Subsemiring/Basic.lean,Mathlib/Algebra/Ring/Subsemiring/Defs.lean,Mathlib/Algebra/Star/Basic.lean,Mathlib/Algebra/Star/NonUnitalSubalgebra.lean,Mathlib/Algebra/Star/SelfAdjoint.lean,Mathlib/Algebra/Star/Subalgebra.lean,Mathlib/Basic/SetLike/Basic.lean,Mathlib/Data/Set/Insert.lean,Mathlib/FieldTheory/IntermediateField/Adjoin/Defs.lean,Mathlib/Geometry/Convex/Cone/Basic.lean,Mathlib/Geometry/Convex/Cone/Pointed.lean,Mathlib/GroupTheory/GroupAction/SubMulAction.lean,Mathlib/LinearAlgebra/Span/Defs.lean,Mathlib/Order/BooleanSubalgebra.lean,Mathlib/RingTheory/NonUnitalSubring/Basic.lean,Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean,Mathlib/RingTheory/NonUnitalSubsemiring/Defs.lean,Mathlib/Tactic/GrindAttrs.lean,Mathlib/Topology/Algebra/Algebra.lean,Mathlib/Topology/Algebra/NonUnitalAlgebra.lean,Mathlib/Topology/Algebra/NonUnitalStarAlgebra.lean,Mathlib/Topology/Algebra/StarSubalgebra.lean,MathlibTest/SetLike.lean |
38 |
5 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
1-40678 1 day ago |
1-40707 1 day ago |
4-16042 4 days |
0 |
| 42977 |
xroblot author:xroblot |
feat(Algebra/QuadraticAlgebra): base change of quadratic algebras |
A base change `R → S` induces an `R`-algebra homomorphism `QuadraticAlgebra R a b →ₐ[R] QuadraticAlgebra S (algebraMap R S a) (algebraMap R S b)` sending `ω` to `ω`, injective when `S` is faithful over `R`, and compatible with the norm, the trace and the discriminant.
Prepared with Claude Code 🤖
|
t-algebra label:t-algebra$ |
185/1 |
Mathlib.lean,Mathlib/Algebra/QuadraticAlgebra/BaseChange.lean,Mathlib/Algebra/QuadraticAlgebra/Basic.lean,Mathlib/Algebra/QuadraticAlgebra/Discriminant.lean |
4 |
10 |
['github-actions', 'jcommelin', 'mathlib-merge-conflicts', 'robin-carlier', 'xroblot'] |
nobody |
1-40347 1 day ago |
16-35358 16 days ago |
36-61840 36 days |
6 |
| 42297 |
xroblot author:xroblot |
feat(RingTheory/QuadraticAlgebra): trace, norm and discriminant as `Algebra` invariants |
Add a `RingTheory`-level file for `QuadraticAlgebra R a b`, identifying its elementary trace, norm and discriminant with the general `Algebra` ones on the standard basis `{1, ω}`.
Kept in a separate file so those stay free of the heavy `RingTheory.Discriminant` import.
---
- [x] depends on: #42708 |
t-ring-theory |
73/0 |
Mathlib.lean,Mathlib/RingTheory/QuadraticAlgebra.lean |
2 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
riccardobrasca assignee:riccardobrasca |
1-40155 1 day ago |
16-27745 16 days ago |
16-47269 16 days |
4 |
| 42272 |
xroblot author:xroblot |
feat(Algebra/QuadraticAlgebra): the degenerate cases over a field |
Complete the classification of `QuadraticAlgebra K a b` over a field by describing the two degenerate case.
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|
t-algebra label:t-algebra$ |
41/0 |
Mathlib/Algebra/QuadraticAlgebra/Basic.lean,Mathlib/Algebra/QuadraticAlgebra/Discriminant.lean |
2 |
5 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
1-40138 1 day ago |
16-28182 16 days ago |
16-47698 16 days |
0 |
| 42393 |
xroblot author:xroblot |
feat(Algebra/QuadraticAlgebra): classify quadratic algebras over ℚ |
Every `QuadraticAlgebra ℚ a b` with nonzero discriminant is isomorphic to a standard form `QuadraticAlgebra ℚ d 0` for a squarefree integer `d`, and this `d` is a complete invariant. Thus quadratic algebras over `ℚ` are classified by squarefree integers.
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|
t-algebra label:t-algebra$ |
101/0 |
Mathlib.lean,Mathlib/Algebra/QuadraticAlgebra/Rat.lean,Mathlib/Data/Rat/Squarefree.lean |
3 |
5 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
riccardobrasca assignee:riccardobrasca |
1-39955 1 day ago |
1-40540 1 day ago |
16-45397 16 days |
0 |
| 44350 |
tb65536 author:tb65536 |
feat(Data/Finset/Lattice/Fold): general `Finset.map_sup` lemmas |
I found these more general `map_sup` lemmas to be helpful in #42985.
---
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|
t-order
t-data
|
14/4 |
Mathlib/Data/Finset/Lattice/Fold.lean |
1 |
1 |
['github-actions'] |
nobody |
1-39421 1 day ago |
1-39489 1 day ago |
1-39211 1 day |
1 |
| 41685 |
plp127 author:plp127 |
feat: free modular lattice on three generators |
We define `FreeModLatThree`, the free modular lattice on three generators, as an inductive type and prove the universal property.
---
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|
t-order
t-data
|
587/0 |
Mathlib.lean,Mathlib/Data/FreeModLatThree.lean |
2 |
10 |
['alreadydone', 'github-actions', 'mathlib-merge-conflicts', 'plp127', 'tb65536'] |
nobody |
1-38459 1 day ago |
1-39421 1 day ago |
79-27014 79 days |
0 |
| 41137 |
plp127 author:plp127 |
fix: include `[NPow F]` in `FunLike.monoidWithZero` |
Include a `NPow` assumption in `FunLike.monoidWithZero` and `FunLike.semiring` and `FunLike.ring` instead of using `npowRec`. See https://github.com/leanprover-community/mathlib4/pull/37779#discussion_r3399574849.
---
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|
t-data |
18/8 |
Mathlib/Algebra/Ring/FunLike.lean,Mathlib/Topology/Algebra/Module/ContinuousLinearMap/Basic.lean |
2 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
joneugster assignee:joneugster |
1-37178 1 day ago |
1-39692 1 day ago |
94-65831 94 days |
2 |
| 43372 |
plp127 author:plp127 |
chore: deprecate monad operations on `MvPolynomial` |
Deprecate some monad operations on `MvPolynomial`, as they are simply special cases of existing `eval` operations and it's not clear from the name what the signatures of these operations are.
---
- [x] depends on: #43371
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|
t-algebra label:t-algebra$ |
377/255 |
Mathlib/Algebra/Module/LinearMap/Polynomial.lean,Mathlib/Algebra/MvPolynomial/Eval.lean,Mathlib/Algebra/MvPolynomial/Expand.lean,Mathlib/Algebra/MvPolynomial/Monad.lean,Mathlib/FieldTheory/SeparableDegree.lean,Mathlib/RingTheory/AlgebraicIndependent/Basic.lean,Mathlib/RingTheory/NoetherNormalization.lean,Mathlib/RingTheory/WittVector/Basic.lean,Mathlib/RingTheory/WittVector/Defs.lean,Mathlib/RingTheory/WittVector/Frobenius.lean,Mathlib/RingTheory/WittVector/InitTail.lean,Mathlib/RingTheory/WittVector/IsPoly.lean,Mathlib/RingTheory/WittVector/MulCoeff.lean,Mathlib/RingTheory/WittVector/MulP.lean,Mathlib/RingTheory/WittVector/StructurePolynomial.lean,Mathlib/RingTheory/WittVector/Verschiebung.lean,Mathlib/RingTheory/WittVector/WittPolynomial.lean |
17 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
1-37088 1 day ago |
2-40216 2 days ago |
19-9383 19 days |
0 |
| 44322 |
JovanGerb author:JovanGerb |
doc(Tactic): prefer ` over ' and use .ofConstName |
This PR cleans up some error/trace messages from tactics to prefer ` instead of ', and to use .ofConstName where this is sensible.
- The advantage of `.ofConstName` is that it prints private names in a nice way, it removes a prefix that is the current namespace, and it allows you to click it to see the type, and it allows ctrl+click to go to the definition.
- The advantage of a backtick over a single quote is that single quotes can be part of a declaration name, which can lead to confusing cases of multiple quotes in succession. It also renders more nicely in test output, and is mandated by the style guide.
This PR is not exhaustive, but just fixes a few places I found.
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|
t-meta |
44/43 |
Mathlib/Tactic/CrossRefAttribute.lean,Mathlib/Tactic/GCongr/Core.lean,Mathlib/Tactic/GRewrite/Core.lean,Mathlib/Tactic/IntervalCases.lean,Mathlib/Tactic/Linter/UnusedTacticExtension.lean,Mathlib/Tactic/Translate/Core.lean,MathlibTest/Attribute/ToAdditive/Basic.lean,MathlibTest/Attribute/ToDual.lean,MathlibTest/CrossRefAttribute.lean,MathlibTest/Linter/UnusedTactic.lean,MathlibTest/Tactic/GCongr/Inequalities.lean |
11 |
7 |
['JovanGerb', 'chenson2018', 'github-actions', 'grunweg'] |
grunweg assignee:grunweg |
1-37077 1 day ago |
1-84059 1 day ago |
2-3078 2 days |
0 |
| 41399 |
vlad902 author:vlad902 |
feat(MvPolynomial): ideal generated by indeterminates in a polynomial ring over a domain is prime |
---
AI: Used Claude to help search for lemmas and golf, no AI code made it into the final PR.
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|
t-ring-theory |
46/7 |
Mathlib/Algebra/MvPolynomial/Variables.lean,Mathlib/RingTheory/AdicCompletion/Completeness.lean,Mathlib/RingTheory/MvPolynomial/Ideal.lean |
3 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
mattrobball assignee:mattrobball |
1-36907 1 day ago |
26-30563 26 days ago |
85-78285 85 days |
1 |
| 41957 |
YijunYuan author:YijunYuan |
feat(NumberTheory/Padics/Complex): add densely normed field and separable space instances |
Equip the field `ℂ_[p]` of `p`-adic complex numbers and its dense subfield
`PadicAlgCl p` (the algebraic closure of `ℚ_[p]`) with two further standard
typeclass instances.
Main additions:
* `DenselyNormedField (PadicAlgCl p)`: the norm takes values dense in the
positive reals. The witness between two given bounds `a < b` is built from an
`n`-th root `z` of `p` (which exists since `PadicAlgCl p` is algebraically
closed): choosing `n` so that `(a / b) ^ n < ‖p‖` gives `a / b < ‖z‖ < 1`, and
some integer power `z ^ m` then has norm strictly between `a` and `b`.
* `SeparableSpace (PadicAlgCl p)`: the elements algebraic over `ℚ` form a
countable dense subset. Density follows from continuity of roots — `α` is a
root of its minimal polynomial `f` over `ℚ_[p]`, and approximating the
coefficients of `f` by a polynomial `g` over the dense subfield `ℚ` yields a
root `β` of `g` (hence algebraic over `ℚ`) arbitrarily close to `α`.
* The corresponding instances `DenselyNormedField ℂ_[p]` and
`SeparableSpace ℂ_[p]` are then inferred, `ℂ_[p]` being the completion of
`PadicAlgCl p`.
Supporting general instance:
* `DenselyNormedField (UniformSpace.Completion A)` for a densely normed field
`A` with `CompletableTopField A`, since the norm on the completion extends the
norm on `A`.
The existing `NontriviallyNormedField` instances on `PadicAlgCl p` and `ℂ_[p]`
are simplified to `inferInstance`, as they now follow from the new
`DenselyNormedField` instances. |
new-contributor
t-number-theory
t-algebra
label:t-algebra$ |
123/19 |
Mathlib/Analysis/Normed/Field/Dense.lean,Mathlib/Analysis/Normed/Module/Completion.lean,Mathlib/NumberTheory/Padics/Complex.lean |
3 |
11 |
['YijunYuan', 'github-actions', 'mathlib-merge-conflicts', 'pechersky', 'riccardobrasca'] |
nobody |
1-36414 1 day ago |
1-38550 1 day ago |
65-80111 65 days |
0 |
| 44341 |
JovanGerb author:JovanGerb |
feat(GRewrite): warn when a `@[refl]` attribute is missing |
It is possible for `grw` to fail because of a missing `@[refl]` attribute. When this happens it can be very hard to figure this out. This PR makes `grw` give a hint that this might be the problem.
---
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|
t-meta |
40/6 |
Mathlib/Tactic/GRewrite/Core.lean,MathlibTest/Tactic/GRewrite.lean |
2 |
1 |
['github-actions'] |
nobody |
1-35991 1 day ago |
1-40164 1 day ago |
1-40136 1 day |
0 |
| 44355 |
artie2000 author:artie2000 |
chore(Order): move Order/CompleteLattice/SetLike.lean to more descriptive location |
Order/CompleteLattice/SetLike.lean -> Order/CompleteSublattice/SetLike.lean
Order/CompleteSublattice.lean -> Order/CompleteSublattice/Basic.lean
This clears the file location for the material in #44253
---
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|
file-removed |
5/5 |
Mathlib.lean,Mathlib/Order/CompleteSublattice/Basic.lean,Mathlib/Order/CompleteSublattice/SetLike.lean,Mathlib/RingTheory/SimpleModule/Isotypic.lean,Mathlib/SetTheory/Descriptive/Tree.lean |
5 |
1 |
['github-actions'] |
nobody |
1-34334 1 day ago |
1-34986 1 day ago |
1-34777 1 day |
1 |
| 42702 |
artie2000 author:artie2000 |
chore(Data/SetLike): rename `IsConcreteLE` |
* Rename `IsConcreteLE` to `IsMemLE`, as disccused at https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/More.20.60IsConcrete.60.20classes.20for.20.60SetLike.60/with/622616098
* Move several lemmas that ended up in the `IsConcreteLE` namespace after #42666 into the root namespace, making the names longer to disambiguate them:
* `IsConcreteLE.le_iff` to `le_iff_mem_imp_mem`
* `IsConcreteLE.not_le_iff_exists` to `not_le_iff_exists_mem_notMem`
* `IsConcreteLE.lt_iff_le_and_exists` to `lt_iff_le_and_exists_mem_notMem`
* `IsConcreteLE.exists_of_lt` to `exists_mem_notMem_of_lt`
---
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|
t-data |
220/217 |
Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean,Mathlib/Algebra/Algebra/Subalgebra/Lattice.lean,Mathlib/Algebra/Group/Subgroup/Defs.lean,Mathlib/Algebra/Group/Subgroup/Ker.lean,Mathlib/Algebra/Group/Subgroup/Lattice.lean,Mathlib/Algebra/Group/Submonoid/Basic.lean,Mathlib/Algebra/Group/Submonoid/Membership.lean,Mathlib/Algebra/Group/Submonoid/Support.lean,Mathlib/Algebra/Group/Subsemigroup/Defs.lean,Mathlib/Algebra/Lie/Engel.lean,Mathlib/Algebra/Lie/LieTheorem.lean,Mathlib/Algebra/Lie/Subalgebra.lean,Mathlib/Algebra/Lie/Submodule.lean,Mathlib/Algebra/Module/LocalizedModule/Basic.lean,Mathlib/Algebra/Module/Submodule/Equiv.lean,Mathlib/Algebra/Module/Submodule/Ker.lean,Mathlib/Algebra/Module/Submodule/Map.lean,Mathlib/Algebra/Module/Submodule/Range.lean,Mathlib/Algebra/Module/Torsion/PrimaryComponent.lean,Mathlib/Algebra/Pointwise/Stabilizer.lean,Mathlib/Algebra/Ring/NonZeroDivisors.lean,Mathlib/Algebra/Star/NonUnitalSubalgebra.lean,Mathlib/AlgebraicGeometry/Sites/SmallAffineZariski.lean,Mathlib/AlgebraicTopology/SimplicialComplex/Basic.lean,Mathlib/Analysis/Calculus/TangentCone/Prod.lean,Mathlib/Analysis/Convex/Cone/Extension.lean,Mathlib/Analysis/InnerProductSpace/Projection/FiniteDimensional.lean,Mathlib/Basic/SetLike/Basic.lean,Mathlib/CategoryTheory/Groupoid/Subgroupoid.lean,Mathlib/CategoryTheory/Sites/Spaces.lean,Mathlib/Data/ZMod/Basic.lean,Mathlib/FieldTheory/Extension.lean,Mathlib/FieldTheory/Finite/Polynomial.lean,Mathlib/FieldTheory/IntermediateField/Adjoin/Basic.lean,Mathlib/FieldTheory/PurelyInseparable/Basic.lean,Mathlib/FieldTheory/RatFunc/IntermediateField.lean,Mathlib/FieldTheory/SeparablyGenerated.lean,Mathlib/Geometry/Convex/Cone/Pointed.lean,Mathlib/GroupTheory/FiniteAbelian/Basic.lean,Mathlib/GroupTheory/FiniteAbelian/Duality.lean,Mathlib/GroupTheory/GroupAction/Defs.lean,Mathlib/GroupTheory/Perm/MaximalSubgroups.lean,Mathlib/GroupTheory/SpecificGroups/Alternating/Centralizer.lean,Mathlib/GroupTheory/SpecificGroups/Cyclic.lean,Mathlib/GroupTheory/SpecificGroups/ZGroup.lean,Mathlib/GroupTheory/Sylow.lean,Mathlib/GroupTheory/Torsion.lean,Mathlib/LinearAlgebra/AffineSpace/AffineSubspace/Basic.lean,Mathlib/LinearAlgebra/AffineSpace/AffineSubspace/Defs.lean,Mathlib/LinearAlgebra/Basis/VectorSpace.lean,Mathlib/LinearAlgebra/Dual/Defs.lean,Mathlib/LinearAlgebra/Finsupp/Span.lean,Mathlib/LinearAlgebra/Finsupp/Supported.lean,Mathlib/LinearAlgebra/Pi.lean,Mathlib/LinearAlgebra/Prod.lean,Mathlib/LinearAlgebra/Projection.lean,Mathlib/LinearAlgebra/Projectivization/Subspace.lean,Mathlib/LinearAlgebra/Span/Basic.lean,Mathlib/LinearAlgebra/Span/Defs.lean,Mathlib/NumberTheory/ModularForms/Cusps.lean,Mathlib/NumberTheory/NumberField/Cyclotomic/Galois.lean,Mathlib/NumberTheory/NumberField/InfinitePlace/Ramification.lean,Mathlib/NumberTheory/RamificationInertia/Basic.lean,Mathlib/Order/Atoms.lean,Mathlib/Order/PFilter.lean,Mathlib/Order/Sublattice.lean,Mathlib/RepresentationTheory/Stabilizer.lean,Mathlib/RingTheory/Conductor.lean,Mathlib/RingTheory/DedekindDomain/AdicValuation.lean,Mathlib/RingTheory/DedekindDomain/Different.lean,Mathlib/RingTheory/DedekindDomain/Factorization.lean,Mathlib/RingTheory/DedekindDomain/Ideal/Basic.lean,Mathlib/RingTheory/DedekindDomain/Ideal/Lemmas.lean,Mathlib/RingTheory/DedekindDomain/PID.lean,Mathlib/RingTheory/Extension/Cotangent/Basis.lean,Mathlib/RingTheory/Extension/Presentation/Core.lean,Mathlib/RingTheory/FractionalIdeal/Extended.lean,Mathlib/RingTheory/FractionalIdeal/Operations.lean,Mathlib/RingTheory/Ideal/AssociatedPrime/Finiteness.lean,Mathlib/RingTheory/Ideal/GoingUp.lean,Mathlib/RingTheory/Ideal/KrullsHeightTheorem.lean,Mathlib/RingTheory/Ideal/Maps.lean,Mathlib/RingTheory/Ideal/MinimalPrime/Colon.lean,Mathlib/RingTheory/Ideal/NatInt.lean,Mathlib/RingTheory/Ideal/Norm/AbsNorm.lean,Mathlib/RingTheory/Ideal/Norm/RelNorm.lean,Mathlib/RingTheory/Ideal/Operations.lean,Mathlib/RingTheory/IntegralClosure/IntegrallyClosed.lean,Mathlib/RingTheory/Invariant/Basic.lean,Mathlib/RingTheory/KrullDimension/Zero.lean,Mathlib/RingTheory/Lasker.lean,Mathlib/RingTheory/LittleWedderburn.lean,Mathlib/RingTheory/Localization/AtPrime/Basic.lean,Mathlib/RingTheory/MvPolynomial/Ideal.lean,Mathlib/RingTheory/Nilpotent/Lemmas.lean,Mathlib/RingTheory/Polynomial/UniversalFactorizationRing.lean,Mathlib/RingTheory/SimpleModule/Isotypic.lean,Mathlib/RingTheory/SimpleRing/Basic.lean,Mathlib/RingTheory/Smooth/NoetherianDescent.lean,Mathlib/RingTheory/Spectrum/Prime/Topology.lean |
107 |
12 |
['artie2000', 'github-actions', 'martinwintermath', 'mathlib-merge-conflicts'] |
nobody |
1-32876 1 day ago |
4-30734 4 days ago |
4-37701 4 days |
4 |
| 44354 |
Rob23oba author:Rob23oba |
fix: use a more robust definition for unquot |
`unsafeCast`, and by extension, `cast lcProof`, is quite unstable in the compiler. Instead using an unsound `Quot.lift` is much more stable, since it uses the intended features for `Quot` and translates into an explicit `Quot.lcInv` application in the compiler. You can however not just use `Quot.lcInv` as the definition because the computability check catches it as an application of an axiom.
See also leanprover/lean4#14719 for an issue with the `unsafeCast` definition of `unquot`.
|
t-data |
1/1 |
Mathlib/Data/Quot.lean |
1 |
1 |
['github-actions'] |
nobody |
1-32339 1 day ago |
1-36405 1 day ago |
1-36126 1 day |
0 |
| 44123 |
TJHeeringa author:TJHeeringa |
feat(LinearAlgebra/SesquilinearForm/Basic): generalize LinearMap.Nondegenerate |
The implemented definition `LinearMap.Nondegenerate` required `CommSemirings`. This is a stronger requirement than necessary. This PR relaxes the conditions on `LinearMap.Nondegenerate` to the minimal ones, i.e. the same as needed to define a bilinear map.
---
This is needed to generalize the RKHS from `InnerProductSpace/Reproducing.lean`.
**AI**:
After generalizing, the statement of the theorem `SeparatingLeft.id` broke. I asked Claude Sonnet 5 free for a fix. It suggested to just make the range and domain of the mapping `LinearMap.id` explicit. Predictable, but I didn't see a better solution.
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|
t-algebra label:t-algebra$ |
33/28 |
Mathlib/LinearAlgebra/Dual/Lemmas.lean,Mathlib/LinearAlgebra/Matrix/SesquilinearForm.lean,Mathlib/LinearAlgebra/SesquilinearForm/Basic.lean |
3 |
5 |
['TJHeeringa', 'github-actions', 'themathqueen'] |
nobody |
1-32130 1 day ago |
8-32194 8 days ago |
8-31915 8 days |
0 |
| 39687 |
TentativeConvert author:TentativeConvert |
feat(Algebra/Group/Submonoid): type class to indicate that supremum in a SubmonoidClass agrees with supremum of submonoids |
Add a type class `SubmonoidClass.IsConcreteSSup` to indicate that the canonical map `.ofClass` from a class `S` of submonoids of `M` to `Submonoid M` preserves suprema.
---
This PR implements the minimal type class assumption needed to make „pushfoward of gradings along maps of indexing sets“ – see draft PR #39356 – work in some `SetLike` generality.
Given `{S M : Type*} [SetLike S M] [Monoid M] [SubmonoidClass S M]`, we have canonical maps
```
S → Submonoid M → Set M
```
The first is `Submonoid.ofClass`, the second and the composition are `coe` maps coming from the `SetLike` structures. Depending on `S`, these maps may or may not satisfy various properties with respect the lattice structures on `Submonoid M` and `Set M`. Mathlib so far includes the type class `[IsConcreteLE S M]`, which asserts that the composition `S → Set M` is order-preserving and order-reflecting. The type class defined here asserts that the first map, `S → Submonoid M`, preserves suprema.
In examples such as `S = Subgroup M`, `S = Submodule R M`, much more is true – in these cases, `S` is a complete sublattice of `Submonoid M`. But there are also examples where only the weaker property defined here holds, e.g. `S = OpenSubgroup M` for a topological group `M`.
[Zulip discussion thead about this PR](https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/type.20class.20to.20indicate.20that.20supremum.20in.20a.20SubmonoidClass.20agr/with/626031731)
Note on `outParam`: I did *not* write `(M : outParam Type*)` in the assumptions of `SubmonoidClass.IsConcreteSSup` in accordance with the [DocString of `Setlike`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Data/SetLike/Basic.html#SetLike). However, we do have `(B : outParam Type*)` in the definition of `IsConcreteLE`, so perhaps I'm misinterpreting the DocString.
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new-contributor
t-algebra
label:t-algebra$ |
56/0 |
Mathlib.lean,Mathlib/Algebra/Group/Submonoid/SSup.lean |
2 |
6 |
['TentativeConvert', 'github-actions', 'jjdishere'] |
eric-wieser assignee:eric-wieser |
1-32127 1 day ago |
9-30741 9 days ago |
129-33168 129 days |
0 |
| 43041 |
ajirving author:ajirving |
feat(Analysis/Analytic): analytic order of a constant function and multiplying by constants |
---
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[](https://gitpod.io/from-referrer/)
Adds analyticOrderAt_const (which matches the meromorphic version) as well as various forms of analyticOrderAt_mul_const and analyticOrderNatAt variants. |
t-analysis |
48/0 |
Mathlib/Analysis/Analytic/Order.lean |
1 |
8 |
['ajirving', 'github-actions', 'j-loreaux'] |
nobody |
1-31672 1 day ago |
15-16393 15 days ago |
39-46441 39 days |
0 |
| 44352 |
mcdoll author:mcdoll |
chore(Geometry/Manifold): missing lemmas about quadrants |
Adds a few lemmas that exist for the half-space, but not quadrants and cleans up the naming.
---
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|
t-differential-geometry |
55/7 |
Mathlib/Geometry/Manifold/Instances/Real.lean |
1 |
1 |
['github-actions'] |
grunweg assignee:grunweg |
1-27753 1 day ago |
1-31229 1 day ago |
1-31524 1 day |
0 |
| 44361 |
JovanGerb author:JovanGerb |
chore(Algebra/Homology/ShortComplex): remove many backward options |
This PR removes almost all uses of `backward.isDefEq.respectTransparency` from `Algebra/Homology/ShortComplex` by marking definitions `@[implicit_reducible]` appropriately.
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|
tech debt |
115/311 |
Mathlib/Algebra/Homology/ShortComplex/Ab.lean,Mathlib/Algebra/Homology/ShortComplex/Basic.lean,Mathlib/Algebra/Homology/ShortComplex/Exact.lean,Mathlib/Algebra/Homology/ShortComplex/HomologicalComplex.lean,Mathlib/Algebra/Homology/ShortComplex/Homology.lean,Mathlib/Algebra/Homology/ShortComplex/LeftHomology.lean,Mathlib/Algebra/Homology/ShortComplex/Limits.lean,Mathlib/Algebra/Homology/ShortComplex/Preadditive.lean,Mathlib/Algebra/Homology/ShortComplex/PreservesHomology.lean,Mathlib/Algebra/Homology/ShortComplex/RightHomology.lean,Mathlib/Algebra/Homology/ShortComplex/SnakeLemma.lean,Mathlib/CategoryTheory/Abelian/Refinements.lean,Mathlib/CategoryTheory/Limits/Cones.lean,Mathlib/CategoryTheory/Limits/IsLimit.lean,Mathlib/CategoryTheory/Limits/Shapes/Kernels.lean |
15 |
1 |
['github-actions'] |
nobody |
1-27149 1 day ago |
1-29654 1 day ago |
1-29375 1 day |
0 |
| 43852 |
ZRTMRH author:ZRTMRH |
feat(Combinatorics/Quiver/Schreier): add Schreier Cayley basics |
Defined Cayley graph as a coset Schreier graph. Proved connectivity and vertex-transitivity on Cayley graphs, as promised in #38310.
Follow-up to #38310, this is the 3rd split pr from #35467.
This PR was written with AI assistance (Claude). The code has been reviewed by the author.
P.S. cayley_subsingleton_weaklyConnectedComponent's proof is generic and I can extract it to Quiver/ConnectedComponent.lean as a weak-connectivity lemma, if it is wanted.
---
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|
new-contributor
t-combinatorics
large-import
LLM-generated
|
278/7 |
Mathlib/Combinatorics/Quiver/Schreier.lean |
1 |
10 |
['SnirBroshi', 'ZRTMRH', 'github-actions', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
1-27055 1 day ago |
3-29956 3 days ago |
15-78892 15 days |
0 |
| 44348 |
YaelDillies author:YaelDillies |
chore: replace `exact_mod_cast` with `exact mod_cast` |
The two spellings are equivalent (precisely, `exact_mod_cast t` is defined as `exact mod_cast (t : _)`), but the latter spelling is more composable. For example, `by exact_mod_cast t` is equivalent to `by exact mod_cast t`, which itself simplifies (almost always) to `mod_cast t`. Perform the same change for `apply_mod_cast`.
[Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/inconsistency.20in.20matching/near/456311492)[#mathlib4 > inconsistency in matching @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/inconsistency.20in.20matching/near/456311492)
---
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|
|
237/237 |
Archive/Imo/Imo2024Q1.lean,Archive/Imo/Imo2024Q6.lean,Mathlib/Algebra/GroupWithZero/Action/Pointwise/Finset.lean,Mathlib/Algebra/Lie/Weights/RootSystem.lean,Mathlib/Algebra/Order/Archimedean/Real/Basic.lean,Mathlib/Algebra/Order/Floor/Defs.lean,Mathlib/Algebra/Squarefree/Basic.lean,Mathlib/AlgebraicGeometry/EllipticCurve/DivisionPolynomial/Degree.lean,Mathlib/AlgebraicGeometry/Properties.lean,Mathlib/Analysis/Analytic/Inverse.lean,Mathlib/Analysis/Asymptotics/LinearGrowth.lean,Mathlib/Analysis/Asymptotics/TVS.lean,Mathlib/Analysis/CStarAlgebra/Spectrum.lean,Mathlib/Analysis/Calculus/ContDiff/Bounds.lean,Mathlib/Analysis/Calculus/ContDiff/Comp.lean,Mathlib/Analysis/Calculus/ContDiff/Defs.lean,Mathlib/Analysis/Calculus/ContDiff/FaaDiBruno.lean,Mathlib/Analysis/Complex/Exponential.lean,Mathlib/Analysis/Complex/ExponentialBounds.lean,Mathlib/Analysis/Complex/IntegerCompl.lean,Mathlib/Analysis/Complex/Tietze.lean,Mathlib/Analysis/Complex/Trigonometric.lean,Mathlib/Analysis/Complex/UpperHalfPlane/Manifold.lean,Mathlib/Analysis/Complex/ValueDistribution/LogCounting/Basic.lean,Mathlib/Analysis/Convex/SpecificFunctions/Pow.lean,Mathlib/Analysis/FunctionalSpaces/SobolevInequality.lean,Mathlib/Analysis/InnerProductSpace/NormDet.lean,Mathlib/Analysis/InnerProductSpace/Positive.lean,Mathlib/Analysis/Matrix/Order.lean,Mathlib/Analysis/MeanInequalities.lean,Mathlib/Analysis/MeanInequalitiesPow.lean,Mathlib/Analysis/Meromorphic/Order.lean,Mathlib/Analysis/Normed/Algebra/Spectrum.lean,Mathlib/Analysis/Normed/Unbundled/SpectralNorm.lean,Mathlib/Analysis/Polynomial/MahlerMeasure.lean,Mathlib/Analysis/Real/Pi/Bounds.lean,Mathlib/Analysis/Real/Pi/Irrational.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/Rpow/Basic.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/Rpow/IntegralRepresentation.lean,Mathlib/Analysis/SpecialFunctions/Log/Sum.lean,Mathlib/Analysis/SpecialFunctions/Pow/Real.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Complex.lean,Mathlib/Analysis/SumIntegralComparisons.lean,Mathlib/Basic/Real/ConjExponents.lean,Mathlib/Combinatorics/Additive/VerySmallDoubling.lean,Mathlib/Combinatorics/SimpleGraph/Extremal/ErdosStoneSimonovits.lean,Mathlib/Combinatorics/SimpleGraph/Prod.lean,Mathlib/Combinatorics/SimpleGraph/Regularity/Chunk.lean,Mathlib/Combinatorics/SimpleGraph/Regularity/Uniform.lean,Mathlib/Computability/AkraBazzi/AkraBazzi.lean,Mathlib/Computability/AkraBazzi/GrowsPolynomially.lean,Mathlib/Computability/AkraBazzi/SumTransform.lean,Mathlib/Data/EReal/Operations.lean,Mathlib/Data/Finset/Image.lean,Mathlib/Data/Int/CardIntervalMod.lean,Mathlib/Data/Int/Log.lean,Mathlib/Data/NNRat/Floor.lean,Mathlib/Data/Nat/Choose/Lucas.lean,Mathlib/Data/ZMod/Units.lean,Mathlib/Dynamics/TopologicalEntropy/CoverEntropy.lean,Mathlib/Geometry/Manifold/Riemannian/Basic.lean,Mathlib/GroupTheory/CosetCover.lean,Mathlib/GroupTheory/OreLocalization/Cardinality.lean,Mathlib/InformationTheory/Coding/Kraft.lean,Mathlib/InformationTheory/Coding/KraftMcMillan.lean,Mathlib/LinearAlgebra/Matrix/Echelon/Pivot.lean,Mathlib/LinearAlgebra/Reflection.lean,Mathlib/MeasureTheory/Function/LpSeminorm/CompareExp.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Defs.lean,Mathlib/MeasureTheory/MeasurableSpace/Card.lean,Mathlib/MeasureTheory/Measure/FiniteMeasure.lean,Mathlib/MeasureTheory/VectorMeasure/WithDensityVec.lean,Mathlib/NumberTheory/ADEInequality.lean,Mathlib/NumberTheory/AbelSummation.lean,Mathlib/NumberTheory/Bernoulli.lean,Mathlib/NumberTheory/Bertrand.lean,Mathlib/NumberTheory/Chebyshev.lean,Mathlib/NumberTheory/Fermat.lean,Mathlib/NumberTheory/Harmonic/Bounds.lean,Mathlib/NumberTheory/Harmonic/GammaDeriv.lean,Mathlib/NumberTheory/Harmonic/ZetaAsymp.lean,Mathlib/NumberTheory/Height/MvPolynomial.lean,Mathlib/NumberTheory/Height/NumberField.lean,Mathlib/NumberTheory/LSeries/Convergence.lean,Mathlib/NumberTheory/LSeries/Dirichlet.lean,Mathlib/NumberTheory/LSeries/DirichletContinuation.lean,Mathlib/NumberTheory/LSeries/HurwitzZetaValues.lean,Mathlib/NumberTheory/LSeries/Positivity.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/IsBoundedAtImInfty.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/QExpansion.lean,Mathlib/NumberTheory/ModularForms/LFunction.lean,Mathlib/NumberTheory/ModularForms/LevelOne/DimensionFormula.lean,Mathlib/NumberTheory/Ostrowski.lean,Mathlib/NumberTheory/Padics/MahlerBasis.lean,Mathlib/NumberTheory/Padics/PadicNorm.lean,Mathlib/NumberTheory/Padics/RingHoms.lean,Mathlib/NumberTheory/Padics/WithVal.lean,Mathlib/NumberTheory/SumPrimeReciprocals.lean,Mathlib/NumberTheory/Transcendental/Liouville/LiouvilleWith.lean,Mathlib/Order/Height.lean |
126 |
3 |
['YaelDillies', 'github-actions', 'grunweg'] |
nobody |
1-23601 1 day ago |
1-23601 1 day ago |
1-43652 1 day |
0 |
| 43362 |
TJHeeringa author:TJHeeringa |
feat(Analysis/InnerProductSpace/Reproducing): add RKHS.SMul.smulSpace |
This PR defines the scalar multiple `c • H` for a given RKHS `H` and shows that it is an RKHS.
---
Can be constructed just as the sumSpace in #41127. However, the discussion below concluded that the current type copy approach was better in this case.
The notation `scoped infix:50 " • " => smulSpace` was not introduced. That caused overload issues that I don't know how to fix.
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|
t-analysis |
119/5 |
Mathlib/Analysis/InnerProductSpace/Reproducing.lean,Mathlib/Analysis/InnerProductSpace/Reproducing/Operations.lean |
2 |
9 |
['Maldooor', 'TJHeeringa', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
1-22806 1 day ago |
1-23881 1 day ago |
1-24653 1 day |
1 |
| 43723 |
homeowmorphism author:homeowmorphism |
feat(Topology/MetricSpace): define hyperbolic metric spaces |
We define hyperbolic pseudometric spaces using the Gromov product. This will be used to define hyperbolic groups.
Co-authored-by: Katerina Hristova <katherina.hristova@gmail.com>
---
- [x] depends on: #43641
Use of AI: Claude Fable was used to look up things quickly and sketch the API, but this was mostly written (or rewritten) by hand.
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|
t-topology |
111/0 |
Mathlib.lean,Mathlib/Topology/Bornology/Basic.lean,Mathlib/Topology/MetricSpace/Hyperbolic.lean |
3 |
15 |
['SnirBroshi', 'github-actions', 'homeowmorphism', 'mathlib-dependent-issues', 'tb65536', 'vlad902'] |
nobody |
1-21899 1 day ago |
1-23841 1 day ago |
19-63386 19 days |
1 |
| 44286 |
user202729 author:user202729 |
chore(Algebra/Group): use normal typeclass syntax for `Normal` |
Use the normal syntax to make `Normal` a typeclass instead of `attribute [class] Normal`.
This affects the proofs depending on this typeclass by making the member accessor `conj_mem` taking the `Normal` instance as an instance-implicit argument instead of an explicit one. They were refactored by simply letting the compiler infer the instance, which it always succeeds for the cases found in mathlib.
---
More discussion: Another effect of using `class` instead of `structure` is that the `‹…›` syntax cannot be used, however, for this specific typeclass it is not affected. It affects `Unique` though (not touched here). |
new-contributor |
7/11 |
Mathlib/Algebra/Group/Subgroup/Defs.lean,Mathlib/CategoryTheory/Action/Concrete.lean,Mathlib/CategoryTheory/Galois/EssSurj.lean,Mathlib/GroupTheory/Nilpotent.lean,Mathlib/RepresentationTheory/Coinvariants.lean,Mathlib/Topology/Algebra/Group/Subgroup.lean |
6 |
5 |
['github-actions', 'tb65536', 'user202729'] |
nobody |
1-21764 1 day ago |
3-28053 3 days ago |
3-27774 3 days |
0 |
| 41981 |
YaelDillies author:YaelDillies |
refactor(Algebra/Polynomial): make into an `abbrev` of `AddMonoidAlgebra` |
... and deprecate the declarations that are now tautological (`toFinsupp`/`ofFinsupp`, `coeff` and their API). For some of the `Polynomial` declarations that needed changing, it was simplest to replace them with the corresponding `AddMonoidAlgebra` one. Note that this replacement is far from exhaustive (a majority of the `Polynomial` API could be replaced this way).
Note that `algebraMap R R[X]` has changed defeq.
[Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Reworking.20Finsupp.2C.20MonoidAlgebra.2C.20HahnSeries.2E.20PowerSeries/with/609275708)
Generated through several rounds of manual review with Claude Opus. Heavily edited by hand afterwards.
Assisted-by: Claude Opus 4.8
---
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|
tech debt
t-algebra
LLM-generated
label:t-algebra$ |
549/764 |
Counterexamples/Cyclotomic105.lean,Counterexamples/MapFloor.lean,Counterexamples/MonicNonRegular.lean,Mathlib/Algebra/CubicDiscriminant.lean,Mathlib/Algebra/Lie/Rank.lean,Mathlib/Algebra/Module/LinearMap/Polynomial.lean,Mathlib/Algebra/MonoidAlgebra/MapDomain.lean,Mathlib/Algebra/MonoidAlgebra/Support.lean,Mathlib/Algebra/MvPolynomial/Equiv.lean,Mathlib/Algebra/Polynomial/AlgebraMap.lean,Mathlib/Algebra/Polynomial/Basic.lean,Mathlib/Algebra/Polynomial/Basis.lean,Mathlib/Algebra/Polynomial/BigOperators.lean,Mathlib/Algebra/Polynomial/Cardinal.lean,Mathlib/Algebra/Polynomial/Coeff.lean,Mathlib/Algebra/Polynomial/CoeffMem.lean,Mathlib/Algebra/Polynomial/Degree/Defs.lean,Mathlib/Algebra/Polynomial/Degree/Domain.lean,Mathlib/Algebra/Polynomial/Degree/IsMonicOfDegree.lean,Mathlib/Algebra/Polynomial/Degree/Lemmas.lean,Mathlib/Algebra/Polynomial/Degree/Operations.lean,Mathlib/Algebra/Polynomial/Degree/Support.lean,Mathlib/Algebra/Polynomial/Degree/TrailingDegree.lean,Mathlib/Algebra/Polynomial/Degree/Units.lean,Mathlib/Algebra/Polynomial/Derivative.lean,Mathlib/Algebra/Polynomial/Div.lean,Mathlib/Algebra/Polynomial/EraseLead.lean,Mathlib/Algebra/Polynomial/Eval/Algebra.lean,Mathlib/Algebra/Polynomial/Eval/Coeff.lean,Mathlib/Algebra/Polynomial/Eval/Defs.lean,Mathlib/Algebra/Polynomial/Eval/Degree.lean,Mathlib/Algebra/Polynomial/FieldDivision.lean,Mathlib/Algebra/Polynomial/GroupRingAction.lean,Mathlib/Algebra/Polynomial/HasseDeriv.lean,Mathlib/Algebra/Polynomial/Homogenize.lean,Mathlib/Algebra/Polynomial/Inductions.lean,Mathlib/Algebra/Polynomial/Laurent.lean,Mathlib/Algebra/Polynomial/Lifts.lean,Mathlib/Algebra/Polynomial/Module/Basic.lean,Mathlib/Algebra/Polynomial/Monic.lean,Mathlib/Algebra/Polynomial/Monomial.lean,Mathlib/Algebra/Polynomial/OfFn.lean,Mathlib/Algebra/Polynomial/Reverse.lean,Mathlib/Algebra/Polynomial/Roots.lean,Mathlib/Algebra/Polynomial/RuleOfSigns.lean,Mathlib/Algebra/Polynomial/Sequence.lean,Mathlib/Algebra/Polynomial/Splits.lean,Mathlib/Algebra/Polynomial/UnitTrinomial.lean,Mathlib/Algebra/Ring/Subring/IntPolynomial.lean,Mathlib/AlgebraicGeometry/EllipticCurve/DivisionPolynomial/Degree.lean,Mathlib/Analysis/Polynomial/CauchyBound.lean,Mathlib/Analysis/Polynomial/Fourier.lean,Mathlib/FieldTheory/Finite/Basic.lean,Mathlib/FieldTheory/Minpoly/Field.lean,Mathlib/FieldTheory/Minpoly/MinpolyDiv.lean,Mathlib/FieldTheory/SeparablyGenerated.lean,Mathlib/LinearAlgebra/Finsupp/VectorSpace.lean,Mathlib/LinearAlgebra/Lagrange.lean,Mathlib/LinearAlgebra/Matrix/Charpoly/Coeff.lean,Mathlib/LinearAlgebra/Matrix/Charpoly/Univ.lean,Mathlib/LinearAlgebra/Matrix/GeneralLinearGroup/FinTwo.lean,Mathlib/LinearAlgebra/Matrix/Polynomial.lean,Mathlib/NumberTheory/BernoulliPolynomials.lean,Mathlib/RingTheory/AdjoinRoot.lean,Mathlib/RingTheory/Algebraic/Basic.lean,Mathlib/RingTheory/Algebraic/Integral.lean,Mathlib/RingTheory/Artinian/Instances.lean,Mathlib/RingTheory/Derivation/MapCoeffs.lean,Mathlib/RingTheory/IntegralClosure/IsIntegralClosure/Basic.lean,Mathlib/RingTheory/Invariant/Basic.lean,Mathlib/RingTheory/IsAdjoinRoot.lean,Mathlib/RingTheory/Jacobson/Polynomial.lean,Mathlib/RingTheory/KrullDimension/Polynomial.lean,Mathlib/RingTheory/MatrixPolynomialAlgebra.lean,Mathlib/RingTheory/MvPolynomial/Homogeneous.lean,Mathlib/RingTheory/Norm/Basic.lean,Mathlib/RingTheory/Polynomial/Basic.lean,Mathlib/RingTheory/Polynomial/Cyclotomic/Basic.lean,Mathlib/RingTheory/Polynomial/Hermite/Basic.lean,Mathlib/RingTheory/Polynomial/HilbertPoly.lean,Mathlib/RingTheory/Polynomial/Ideal.lean,Mathlib/RingTheory/Polynomial/IntegralNormalization.lean,Mathlib/RingTheory/Polynomial/IrreducibleRing.lean,Mathlib/RingTheory/Polynomial/Nilpotent.lean,Mathlib/RingTheory/Polynomial/Opposites.lean,Mathlib/RingTheory/Polynomial/ScaleRoots.lean,Mathlib/RingTheory/Polynomial/Subring.lean,Mathlib/RingTheory/PolynomialAlgebra.lean,Mathlib/RingTheory/PowerBasis.lean,Mathlib/RingTheory/PowerSeries/Basic.lean,Mathlib/RingTheory/PowerSeries/Derivative.lean,Mathlib/RingTheory/PowerSeries/Trunc.lean,Mathlib/RingTheory/ReesAlgebra.lean,Mathlib/RingTheory/Spectrum/Prime/ChevalleyComplexity.lean,Mathlib/RingTheory/Spectrum/Prime/IsOpenComapC.lean,Mathlib/RingTheory/Spectrum/Prime/Topology.lean,Mathlib/RingTheory/Trace/Basic.lean,Mathlib/RingTheory/ZariskisMainTheorem.lean,Mathlib/Tactic/ComputeDegree.lean,Mathlib/Tactic/ReduceModChar.lean |
102 |
16 |
['NoahW314', 'YaelDillies', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts', 'tb65536'] |
nobody |
1-20273 1 day ago |
1-22921 1 day ago |
59-17232 59 days |
0 |
| 36327 |
themathqueen author:themathqueen |
feat(Analysis/CStarAlgebra/Extreme): a C⋆-algebra is unital iff there exists an extreme point in the closed unit ball |
In a nonunital C⋆-algebra, the extreme points of the closed unit ball is nonempty iff the C⋆-algebra is unital. Our main reference for this is Sakai's "C⋆-algebras and W⋆-algebras" 1.6.1. The proof however is a _franken-proof_ from both Sakai and Pederson's "C⋆-algebras and their automorphism groups".
Co-authored-by: Jon Bannon <59937998+JonBannon@users.noreply.github.com>
Co-authored-by: Jireh Loreaux <loreaujy@gmail.com>
---
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|
t-analysis |
232/2 |
Mathlib/Analysis/CStarAlgebra/Extreme.lean |
1 |
46 |
['ADedecker', 'eric-wieser', 'github-actions', 'j-loreaux', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'themathqueen'] |
nobody |
1-18789 1 day ago |
1-19498 1 day ago |
47-4807 47 days |
0 |
| 44363 |
Parcly-Taxel author:Parcly-Taxel |
chore(Order): remove some `set_option`s |
* Remove `set_option`s from `Order.Nucleus` and `Order.OmegaCompletePartialOrder`.
* Remove `unusedVariables` options from all files in `Order` that have them. |
tech debt
t-order
|
77/102 |
Mathlib/Order/Booleanisation.lean,Mathlib/Order/Closure.lean,Mathlib/Order/LiminfLimsup.lean,Mathlib/Order/Nucleus.lean,Mathlib/Order/OmegaCompletePartialOrder.lean,Mathlib/Order/OrderDual.lean,Mathlib/Order/Sum/Lattice.lean |
7 |
1 |
['github-actions'] |
nobody |
1-17948 1 day ago |
1-27618 1 day ago |
1-27339 1 day |
0 |
| 44356 |
seewoo5 author:seewoo5 |
feat(ModularForms/SlashActions): more theorems for slash actions (sub,pow,zpow,inv) |
---
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Add `SlashAction.sub_slash` and `{zpow/inv/pow}_slash{_SL2}`. Found while refactoring some code in sphere packing project. Golfed using Claude. |
t-number-theory
sphere-packing
|
34/0 |
Mathlib/NumberTheory/ModularForms/SlashActions.lean |
1 |
6 |
['CBirkbeck', 'github-actions', 'seewoo5'] |
nobody |
1-17706 1 day ago |
1-34760 1 day ago |
1-34481 1 day |
0 |
| 36814 |
YaelDillies author:YaelDillies |
refactor(Combinatorics/SimpleGraph): no proof obligation in `rotate` |
If the walk doesn't go through the new vertex, return `nil` instead.
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|
t-combinatorics |
44/32 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Subgraph.lean,Mathlib/Combinatorics/SimpleGraph/Hamiltonian.lean,Mathlib/Combinatorics/SimpleGraph/Matching.lean,Mathlib/Combinatorics/SimpleGraph/Paths.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Decomp.lean |
7 |
19 |
['SnirBroshi', 'YaelDillies', 'b-mehta', 'bryangingechen', 'eric-wieser', 'github-actions', 'jcommelin', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
1-17107 1 day ago |
1-17741 1 day ago |
176-39193 176 days |
0 |
| 37964 |
mortarsanjaya author:mortarsanjaya |
feat(Algebra/Order/Floor): weaken assumptions on theorems about `FloorRing` |
This PR weakens as much assumptions as possible on theorems about `FloorSemiring` and `FloorRing`. Mainly, `IsOrderedRing` and `IsStrictOrderedRing` are weakened to just `IsOrderedAddMonoid` or removed completely from the assumptions on the theorems.
Most theorems can be generalized as is or only requires a minor modification of replacing lemmas about casting naturals/integers preserving order (the likes of `Nat.cast_le`, `Int.cast_lt`, etc.) with the corresponding version for `FloorRing`. Some other lemmas require modification in the proofs, but these changes shorten the proofs. The new proof of the theorem `Int.mul_cast_floor_div_cancel_of_pos` requires an extra import.
The assumption `IsOrderedAddMonoid` is required on lemmas that involve comparison + addition, and `IsOrderedRing` is required only on lemmas that involve comparison + multiplication of two non-integer elements.
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
maintainer-merge
label:t-algebra$ |
325/329 |
Mathlib/Algebra/ContinuedFractions/Computation/Translations.lean,Mathlib/Algebra/Order/Floor/Defs.lean,Mathlib/Algebra/Order/Floor/Ring.lean,Mathlib/Algebra/Order/Floor/Semifield.lean,Mathlib/Algebra/Order/Floor/Semiring.lean,Mathlib/Algebra/Order/Round.lean,Mathlib/Analysis/SpecificLimits/Basic.lean,Mathlib/Data/Int/Log.lean,Mathlib/Data/NNRat/Floor.lean,Mathlib/Data/Rat/Floor.lean,Mathlib/MeasureTheory/Function/Floor.lean,Mathlib/Order/Interval/Finset/Floor.lean,Mathlib/Topology/Algebra/Order/Floor.lean |
13 |
27 |
['github-actions', 'jjdishere', 'leanprover-radar', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mortarsanjaya', 'themathqueen'] |
jjdishere assignee:jjdishere |
1-16504 1 day ago |
1-18038 1 day ago |
97-30064 97 days |
0 |
| 43853 |
wwylele author:wwylele |
feat(Analysis/SpecialFunctions): the recurrence relation of bessel function J |
This proves one of the recurrence formula for J (the other one that involves derivative will be in a separate PR). Usually the LHS is written as `2 * a * J a x / x` in textbooks, but I moved `x` to RHS to avoid junk values on division.
Also added dlmf to `besselJ`.
In the hypergeometric function file, I also added a local notation for `regularizedHGFunCoeff` because otherwise the name is too long. I didn't replace any existing lemma with the notation. That can be in a later non-feature PR.
---
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Zulip thread: [#mathlib4 > Bessel functions](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Bessel.20functions/with/611260325)
[](https://gitpod.io/from-referrer/)
|
t-analysis |
103/1 |
Mathlib/Analysis/SpecialFunctions/Bessel.lean,Mathlib/Analysis/SpecialFunctions/RegularizedHypergeometric.lean |
2 |
1 |
['copilot-pull-request-reviewer', 'github-actions'] |
mcdoll assignee:mcdoll |
1-15616 1 day ago |
15-82881 15 days ago |
15-82602 15 days |
0 |
| 43112 |
themathqueen author:themathqueen |
feat(Topology/Algebra/Module/Spaces/CLM): linear map version of `apply` |
This is the linear map version of `apply` that can be used for non-normed spaces.
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|
t-topology |
31/5 |
Mathlib/Analysis/Normed/Operator/Bilinear.lean,Mathlib/Topology/Algebra/Module/Spaces/ContinuousLinearMap.lean |
2 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
1-15478 1 day ago |
1-16958 1 day ago |
36-17539 36 days |
1 |
| 44292 |
Multramate author:Multramate |
chore: rename `sFinite` to `sfinite` in declaration names |
Rename the declarations spelling the `SFinite` class as `sFinite` to use `sfinite`, following the rule that the whole initial run of capitals is lowercased.
---
🤖 Generated with [Claude Code](https://claude.com/claude-code) |
LLM-generated |
27/18 |
Mathlib/MeasureTheory/Covering/Differentiation.lean,Mathlib/MeasureTheory/Function/ConditionalLExpectation.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/DistLEIntegral.lean,Mathlib/MeasureTheory/Integral/Lebesgue/Countable.lean,Mathlib/MeasureTheory/Measure/Basic.lean,Mathlib/MeasureTheory/Measure/Lebesgue/EqHaar.lean,Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean,Mathlib/MeasureTheory/Measure/Typeclasses/SFinite.lean,Mathlib/MeasureTheory/Measure/WithDensity.lean,Mathlib/Probability/Kernel/Basic.lean,Mathlib/Probability/Kernel/Composition/MeasureCompProd.lean,Mathlib/Probability/Kernel/Defs.lean |
12 |
23 |
['JovanGerb', 'Multramate', 'github-actions', 'j-loreaux', 'mathlib-bors', 'riccardobrasca', 'themathqueen'] |
nobody |
1-14333 1 day ago |
2-4150 2 days ago |
2-85984 2 days |
0 |
| 37579 |
IvanRenison author:IvanRenison |
feat(Combinatorics/SimpleGraph/Girth): add lemmas about the length of a walk being equal to the girth |
---
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|
t-combinatorics |
30/0 |
Mathlib/Combinatorics/SimpleGraph/Girth.lean |
1 |
19 |
['IvanRenison', 'SnirBroshi', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
1-9284 1 day ago |
1-10592 1 day ago |
32-80101 32 days |
0 |
| 43211 |
YaelDillies author:YaelDillies |
feat(Geometry/Convex): ordered convex spaces |
Define ordered convex spaces as those convex spaces for which taking convex combinations is monotone in its inputs. Since `sConvexComb : StdSimplex R X → X`, the best way to do so is to equip `StdSimplex R X` with the stochastic dominance order and requiring `sConvexComb` to be monotone under that order.
Generated by Claude Opus following my existing draft, then reviewed and partly rewritten by myself.
From the convexity refactor. Ordered convex spaces will be used to define convex/concave functions.
Assisted-by: Claude Opus 5
---
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|
t-convex-geometry
LLM-generated
|
418/5 |
Mathlib.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Basic.lean,Mathlib/Data/Finsupp/Basic.lean,Mathlib/Geometry/Convex/ConvexSpace/Defs.lean,Mathlib/Geometry/Convex/ConvexSpace/Order.lean,Mathlib/Geometry/Convex/Set.lean,Mathlib/Order/UpperLower/Basic.lean |
7 |
13 |
['YaelDillies', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
1-6011 1 day ago |
3-37125 3 days ago |
30-2438 30 days |
0 |
| 43945 |
Nicola9Falciola author:Nicola9Falciola |
feat(LinearAlgebra/Matrix/GeneralLinearGroup/Defs): add the induced monoid equivalence from a ring hom. on `GL` and the equivalence between ` GL n (Π i, R i) ≃* Π i, GL n (R i)` |
---
Following the API in Data/Matrix/Basic I add :
- the `MulEquiv` : `GL n R ≃* GL n S`induced by a `RingEquiv`
- the `MulEquiv` : `GL n (Π i, R i) ≃* Π i, GL n (R i)`
- the `MulEquiv` : `GL m R ≃* GL n R` for `m ≃ n`
I had to add the import `athlib.Algebra.Group.Pi.Units`as otherwise we do not have ` MulEquiv.piUnits`.
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|
t-algebra label:t-algebra$ |
52/0 |
Mathlib/LinearAlgebra/Matrix/GeneralLinearGroup/Defs.lean |
1 |
34 |
['Nicola9Falciola', 'github-actions', 'themathqueen'] |
nobody |
1-4931 1 day ago |
1-6666 1 day ago |
13-27338 13 days |
2 |
| 44371 |
sgouezel author:sgouezel |
feat: alternating maps and associated operations are `ContMDiff` and `MDifferentiable` |
We follow the API already developed for continuous linear maps. These are prerequisites for the fact that differential forms are a smooth bundle.
---
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|
t-differential-geometry |
355/0 |
Mathlib/Geometry/Manifold/ContMDiff/NormedSpace.lean,Mathlib/Geometry/Manifold/MFDeriv/NormedSpace.lean,Mathlib/Geometry/Manifold/MFDeriv/SpecificFunctions.lean |
3 |
1 |
['github-actions'] |
grunweg assignee:grunweg |
1-2174 1 day ago |
1-8332 1 day ago |
1-8252 1 day |
1 |
| 44364 |
abeldonate author:abeldonate |
feat(AlgebraicTopology/SimplexCategory/Truncated): added lemmas |
Lemmas `mono_iff` and `epi_iff` added, trying to follow the work done in #21749 |
t-algebraic-topology
new-contributor
|
31/0 |
Mathlib/AlgebraicTopology/SimplexCategory/Truncated.lean |
1 |
3 |
['github-actions'] |
nobody |
0-86269 23 hours ago |
1-535 1 day ago |
1-472 1 day |
0 |
| 44351 |
homeowmorphism author:homeowmorphism |
chore(Topology/MetricSpace/Bounded): add grind annotations to lemmas about the diameter |
---
I was browsing this API in the light of #43723 and noticed these possible improvements.
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|
t-topology |
6/3 |
Mathlib/Topology/MetricSpace/Bounded.lean |
1 |
3 |
['github-actions', 'homeowmorphism'] |
nobody |
0-85979 23 hours ago |
1-22631 1 day ago |
1-25478 1 day |
0 |
| 43840 |
paulcadman author:paulcadman |
feat(LinearAlgebra/Matrix): upper Hessenberg matrices and Hessenberg similarity certificates |
Add definitions of upper Hessenberg matrices and a certificate witnessing that a square matrix is similar to an upper Hessenberg matrix.
Also adds a lemma relating the characteristic polynomial of a matrix to the characteristic polynomial of its Hessenberg form.
---
This is the first PR in a sequence to define a `norm_charpoly` simproc to efficiently normalize `Matrix.charpoly` expressions.
The planned metaprogram will:
1. Reduce a matrix literal over `ℚ` to upper Hessenberg form and emit a `Hessenberg.Similarity` certificate showing that the computed Hessenberg matrix satisfies the certificate.
2. Compute the characteristic polynomial of the Hessenberg matrix by a recurrence formula on leading blocks of the matrix. The certificate represents `H` as an array of matrix entries to facilitate this step.
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t-algebra label:t-algebra$ |
204/0 |
Mathlib.lean,Mathlib/Data/Fin/SuccPredOrder.lean,Mathlib/LinearAlgebra/Matrix/Block.lean,Mathlib/LinearAlgebra/Matrix/Charpoly/Basic.lean,Mathlib/LinearAlgebra/Matrix/Hessenberg/Defs.lean,Mathlib/LinearAlgebra/Matrix/Hessenberg/Similarity.lean,MathlibTest/HessenbergSimilarity.lean |
7 |
2 |
['Multramate', 'github-actions'] |
nobody |
0-82965 23 hours ago |
3-85511 3 days ago |
4-84216 4 days |
0 |
| 41839 |
CoolRmal author:CoolRmal |
feat(Topology/Connected): connected subsets of finite one-dimensional Hausdorff measure |
This PR proves some properties of preconnected subsets of an extended metric space in terms of their Hausdorff measure.
- The extended diameter of a preconnected set is at most its one-dimensional Hausdorff measure
- A preconnected set with finite `d`-dimensional Hausdorff measure for some `d < 1` is a subsingleton, so any set with finite such measure is totally disconnected
- A preconnected set with finite one-dimensional Hausdorff measure is totally bounded.
The main tool is that the distance from a fixed base point is `1`-Lipschitz (we define it by `x => (edist a x).toReal` and `ENNReal.toReal` is necessary because `ℝ≥0∞` is not an EMetric space and blocks me from using `LipschitzOnWith`, this is also the reason why I proved some weird lemmas like `isClopen_setOf_edist_ne_top` and `IsPreconnected.edist_ne_top`), so it does not increase Hausdorff measures, and the image of a preconnected set under it is an interval whose one-dimensional Hausdorff measure is its length. Comparing the two turns distances inside the set into lower bounds for its measure.
Some of these lemmas probably should belong to a different space. Feel free to give me some suggestions on this.
In the future, I would also like to use results in this PR to prove that a preconnected, compact subset with finite one-dimensional Hausdorff measure is path-connected, and this is included in TODO.
Created with the help of Claude Code, carefully reviewed and golfed by myself.
|
t-topology
LLM-generated
|
174/0 |
Mathlib.lean,Mathlib/Topology/Connected/HausdorffMeasure.lean,Mathlib/Topology/EMetricSpace/Defs.lean |
3 |
14 |
['CoolRmal', 'github-actions', 'j-loreaux', 'mathlib-merge-conflicts', 'plp127', 'wwylele'] |
j-loreaux assignee:j-loreaux |
0-77341 21 hours ago |
1-65010 1 day ago |
76-41385 76 days |
0 |
| 29624 |
mcdoll author:mcdoll |
feat(LinearAlgebra/LinearPMap): add definition of resolvent and resolvent identities |
This PR defines the resolvent of an unbounded operator as a linear map. There are slight differences to the way the resolvent is defined in the literature: we use a purely algebraic description, in particular we do not assume that the operator is closed.
We prove the well-known first and second resolvent identities.
---
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|
t-algebra
t-analysis
maintainer-merge
label:t-algebra$ |
281/5 |
Mathlib.lean,Mathlib/Algebra/Algebra/Spectrum/Basic.lean,Mathlib/LinearAlgebra/LinearPMap.lean,Mathlib/LinearAlgebra/Resolvent.lean |
4 |
54 |
['YaelDillies', 'github-actions', 'j-loreaux', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'mcdoll'] |
nobody |
0-77233 21 hours ago |
0-79791 22 hours ago |
95-54673 95 days |
0 |
| 37724 |
xgenereux author:xgenereux |
feat(UniqueFactorizationDomain/Multiplicity): `WfDvdMonoid.max_power_factor` for finsupp |
A version of `WfDvdMonoid.max_power_factor` for finsets/finsupp. That is, we take the highest power which divides everything in the finset.
AI disclaimer: I asked Claude Code to simplify the proofs at commit https://github.com/leanprover-community/mathlib4/pull/37724/changes/579eceaad06e32941615830e6838547d464d28b6.
Co-authored-by: María Inés de Frutos Fernández <[mariaines.dff@gmail.com](mailto:mariaines.dff@gmail.com)>
---
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|
t-ring-theory |
68/10 |
Mathlib/RingTheory/UniqueFactorizationDomain/Multiplicity.lean |
1 |
6 |
['chrisflav', 'github-actions', 'mathlib-merge-conflicts', 'xgenereux'] |
riccardobrasca assignee:riccardobrasca |
0-77018 21 hours ago |
27-70981 27 days ago |
79-23353 79 days |
0 |
| 41607 |
mbkybky author:mbkybky |
chore(RingTheory/DedekindDomain): update definitions |
Update [IsDedekindRing](https://leanprover-community.github.io/mathlib4_docs/Mathlib/RingTheory/DedekindDomain/Basic.html#IsDedekindRing) to extend `IsNoetherianRing A` instead of `IsNoetherian A A`, bringing their definitions closer to the usual mathematical formulations.
---
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|
t-ring-theory |
1/1 |
Mathlib/RingTheory/DedekindDomain/Basic.lean |
1 |
2 |
['Multramate', 'github-actions', 'mathlib-merge-conflicts'] |
alreadydone assignee:alreadydone |
0-77016 21 hours ago |
49-41348 49 days ago |
80-30588 80 days |
0 |
| 41905 |
wwylele author:wwylele |
feat(FieldTheory): relrank lemma about sup |
The main lemma I want is `(A ⊔ C).relrank (B ⊔ C) ≤ A.relrank B`. Added some trivial lemma along the way.
---
AI usage disclosure: this was originally drafted by Aristotle, then cleaned up by me.
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|
t-algebra
LLM-generated
label:t-algebra$ |
89/0 |
Mathlib/FieldTheory/Relrank.lean |
1 |
10 |
['copilot-pull-request-reviewer', 'github-actions', 'sharky564'] |
eric-wieser assignee:eric-wieser |
0-77015 21 hours ago |
75-1995 75 days ago |
75-1716 75 days |
0 |
| 41909 |
wwylele author:wwylele |
feat(FieldTheory): field equivalences for bot subfield |
Make it easier to use than the existing Subfield equality lemma.
---
~~The ZMod version `Subfield.botEquivZMod_symm_apply` is missing because the statement
`(Subfield.botEquivZMod K p).symm x = algebraMap (ZMod p) (⊥ : Subfield K) x` doesn't type-check, which is missing the instance `Algebra (ZMod p) (⊥ : Subfield K)`, which is because [ZMod.algebra](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Algebra/Algebra/ZMod.html#ZMod.algebra) is a `def`~~
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|
t-algebra label:t-algebra$ |
44/3 |
Mathlib/FieldTheory/PrimeField.lean |
1 |
4 |
['copilot-pull-request-reviewer', 'github-actions', 'plp127', 'wwylele'] |
eric-wieser assignee:eric-wieser |
0-77014 21 hours ago |
74-76011 74 days ago |
74-76253 74 days |
0 |
| 42933 |
teorth author:teorth |
feat(Analysis/Fourier): decay of the Fourier transform of a function with integrable derivatives |
If `f : ℝ → E` is `C^n` and its first `n` derivatives are integrable, then `𝓕 f` decays like `|u| ^ (-n)`. Specifically, `Real.one_add_pow_mul_norm_fourier_le` states that
```
(1 + |u| ^ n) * ‖𝓕 f u‖ ≤ (∫ v, ‖f v‖) + ((2 * π) ^ n)⁻¹ * ∫ v, ‖iteratedDeriv n f v‖
```
which, unlike a bound of the shape `‖u‖ ^ n * ‖𝓕 f u‖ ≤ C`, is also nontrivial at `u = 0`, and so can be used to deduce integrability of `𝓕 f`. The case `n = 2` is recorded separately as `Real.one_add_sq_mul_norm_fourier_le`, in terms of `1 + u ^ 2`. Also included is `Real.norm_fourier_le_integral_norm`, the `𝓕`-level form of `VectorFourier.norm_fourierIntegral_le_integral_norm`. (This will be useful in a future PR of the prime number theorem.)
Mathlib already implies a decay bound of this kind, via `Real.pow_mul_norm_iteratedFDeriv_fourier_le` with `k = 0`, but with a lossy constant, a sum over all lower-order derivatives, and no content at `u = 0`.
A higher-dimensional analogue holds by the same argument, but needs a reverse bound for `fourierPowSMulRight`, for which mathlib currently only has the `≤` direction; this is left to a future PR.
---
AI was used to prepare the initial version of the code, which was then golfed and reviewed by myself. |
t-analysis |
35/1 |
Mathlib/Analysis/Fourier/FourierTransform.lean,Mathlib/Analysis/Fourier/FourierTransformDeriv.lean,Mathlib/Analysis/Fourier/RiemannLebesgueLemma.lean |
3 |
9 |
['ajirving', 'github-actions', 'teorth'] |
j-loreaux assignee:j-loreaux |
0-77013 21 hours ago |
41-12344 41 days ago |
43-48537 43 days |
2 |
| 44008 |
joelriou author:joelriou |
feat(CategoryTheory): accessibly embedded full subcategories |
In this PR, we introduce a typeclass `P.IsClosedUnderCardinalFilteredColimits κ` saying that a property of objects is closed under `κ`-filtered colimits.
---
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t-category-theory
maintainer-merge
|
110/13 |
Mathlib.lean,Mathlib/CategoryTheory/ObjectProperty/IsClosedUnderCardinalFilteredColimits.lean,Mathlib/CategoryTheory/Presentable/OrthogonalReflection.lean |
3 |
4 |
['github-actions', 'joelriou', 'robin-carlier'] |
nobody |
0-76117 21 hours ago |
11-20148 11 days ago |
11-19942 11 days |
0 |
| 39553 |
Brian-Nugent author:Brian-Nugent |
feat(Algebra/CategoryTheory/ModuleCat): Locally Free is local |
We define `SheafOfModules.LocalGeneratorsData.bind` just like `SheafOfModules.QuasicoherentData.bind` and use it to show that being locally free is a local condition.
---
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|
t-algebra label:t-algebra$ |
56/4 |
Mathlib/Algebra/Category/ModuleCat/Sheaf/Generators.lean,Mathlib/Algebra/Category/ModuleCat/Sheaf/LocallyFree.lean,Mathlib/Algebra/Category/ModuleCat/Sheaf/Quasicoherent.lean |
3 |
6 |
['Brian-Nugent', 'dagurtomas', 'github-actions', 'mathlib-dependent-issues'] |
nobody |
0-76116 21 hours ago |
49-18765 49 days ago |
115-8394 115 days |
1 |
| 41066 |
BryceT233 author:BryceT233 |
feat(RingTheory/Jacobson/Ideal): surjective `RingHom` and `IsLocalHom` |
This is a split of #41064 which shows that a surjective `RingHom` is a local homomorphism if and only if its kernel is contained in the jacobson radical of the ring.
---
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|
t-ring-theory |
24/16 |
Mathlib/RingTheory/Henselian.lean,Mathlib/RingTheory/Jacobson/Ideal.lean |
2 |
2 |
['BryceT233', 'github-actions'] |
nobody |
0-76115 21 hours ago |
96-54130 96 days ago |
97-50144 97 days |
1 |
| 41816 |
tb65536 author:tb65536 |
feat(GroupTheory/PGroup): add exponent characterization |
This PR adds the exponent characterization of p-groups, and uses it to golf the existing proof of `isPGroup_iff_card_dvd_pow`.
---
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t-group-theory
large-import
|
41/40 |
Mathlib/GroupTheory/Exponent.lean,Mathlib/GroupTheory/PGroup.lean |
2 |
3 |
['SnirBroshi', 'github-actions', 'tb65536'] |
nobody |
0-76114 21 hours ago |
57-50539 57 days ago |
57-51443 57 days |
0 |
| 42831 |
ray-shang author:ray-shang |
feat(CategoryTheory/Preadditive): category ring of preadditive category |
Given a preadditive category `C`, its category ring `CategoryRing C` is the non-unital ring
whose underlying additive group is the direct sum of all of its morphism groups `X ⟶ Y`, and
whose multiplication is induced by composition: the product of a morphism `f : X ⟶ Y` with a
morphism `g : Z ⟶ W` is `f ≫ g` when `Y = Z`, and `0` otherwise. When `C` is `R`-linear this ring
is a (non-unital) `R`-algebra, and when `C` has finitely many objects it is unital, with
unit `∑ X, 𝟙 X`.
This file formalizes `CategoryRing C` and its structure and universal property
when `C` is preadditive, `R`-linear, finite type, and both finite type and `R`-linear. For example,
when `C` is merely preadditive, the universal property of `CategoryRing C` is: non-unital ring
homomorphisms out of `CategoryRing C` correspond to `LiftData`, the data of a
compatible family of additive maps `(X ⟶ Y) →+ A` for a `NonUnitalNonAssocSemiring A`.
AI Usage: Gemini 3.1 Pro Extended Thinking is in use to generate proof terms for the custom induction principle to unwrap the nested direct sums of the category algebra. Human oversight and work determines the most efficient proof term.
---
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t-category-theory
new-contributor
|
706/0 |
Mathlib.lean,Mathlib/CategoryTheory/Preadditive/CategoryRing.lean |
2 |
11 |
['b-reinke', 'github-actions', 'joelriou', 'ray-shang', 'robin-carlier'] |
nobody |
0-74052 20 hours ago |
13-14996 13 days ago |
13-47746 13 days |
0 |
| 41393 |
SnirBroshi author:SnirBroshi |
feat(SimpleGraph/Hamiltonian): a graph is Hamiltonian iff there's a Hamiltonian path with adjacent endpoints |
---
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|
t-combinatorics |
32/9 |
Mathlib/Combinatorics/SimpleGraph/Hamiltonian.lean |
1 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
0-73050 20 hours ago |
0-77395 21 hours ago |
80-67347 80 days |
2 |
| 42815 |
korbonits author:korbonits |
feat(Analysis/Calculus/VectorField): the Lie bracket acts as a derivation on functions |
Add `VectorField.lieBracket_apply_fun`: for a function `f` with derivative `f'` and vector fields `V`, `W`,
D(f' W) V - D(f' V) W = f' [V, W]
i.e. the familiar `[V, W] f = V (W f) - W (V f)`. The two second-derivative terms cancel by symmetry of the second derivative, leaving exactly the bracket.
Placed beside the existing `lieBracket_smul_*` product rules. Needs no new import: `FDeriv.Symmetric` is already imported for `second_derivative_symmetric`, which supplies the symmetry and is the source of the `IsRCLikeNormedField` hypothesis.
---
AI disclosure
- level: Level 5 / Level 6 in [the link shared](https://www.visidata.org/blog/2026/ai/#self-assessed-ai-level-for-contributions) I feel confident about the math but I am still learning Lean itself
- code: most of the Lean in this PR was drafted by Claude Code (statements, proofs, docstrings).
- direction and review: I chose the contribution, made the decisions, reviewed every line, and wrote all GitHub/Zulip comments. |
t-analysis
new-contributor
LLM-generated
t-differential-geometry
|
17/0 |
Mathlib/Analysis/Calculus/VectorField.lean |
1 |
11 |
['github-actions', 'korbonits', 'themathqueen'] |
sgouezel assignee:sgouezel |
0-65410 18 hours ago |
6-22894 6 days ago |
46-53727 46 days |
0 |
| 41338 |
kim-em author:kim-em |
refactor(Combinatorics/SimpleGraph/CycleGraph): golf cycleGraph_isContained_iff via getVert |
Reopened from my fork, replacing #41268 (previously a branch on the main repo).
This PR rewrites the reverse direction of `cycleGraph_isContained_iff` from https://github.com/leanprover-community/mathlib4/pull/35255. Building the copy on `Walk.getVert` instead of `support` indexing makes the vertex map total, dispatches both adjacency cases through a single cyclic-successor helper (no `wlog`), handles the wraparound with `adj_penultimate`, and gets injectivity directly from `IsCycle.getVert_injOn'`.
🤖 Prepared with Claude Code |
t-combinatorics
LLM-generated
maintainer-merge
|
12/16 |
Mathlib/Combinatorics/SimpleGraph/CycleGraph.lean |
1 |
18 |
['SnirBroshi', 'github-actions', 'kim-em', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
0-64486 17 hours ago |
31-64006 31 days ago |
50-20405 50 days |
0 |
| 42839 |
JadAbouHawili author:JadAbouHawili |
feat(Combinatorics/SimpleGraph/Connectivity): simple graph is 2-edge-connected iff it has no bridge |
This PR proves the equivalence of a graph being 2-edge-connected iff it has no bridge resolving the relevant TODO.
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t-combinatorics
new-contributor
|
16/3 |
Mathlib/Combinatorics/SimpleGraph/Connectivity/EdgeConnectivity.lean |
1 |
42 |
['JadAbouHawili', 'SnirBroshi', 'github-actions'] |
SnirBroshi assignee:SnirBroshi |
0-62024 17 hours ago |
26-9907 26 days ago |
45-4512 45 days |
0 |
| 41866 |
YaelDillies author:YaelDillies |
feat(GroupTheory): `AddSubgroupClass` implies `SMulMemClass` over `ℤ` |
This is useful to talk about lattices in R^n.
Also delete two instances that are now automatically inferred.
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|
t-group-theory
maintainer-merge
|
6/6 |
Mathlib/Analysis/Normed/Ring/Basic.lean,Mathlib/GroupTheory/GroupAction/SubMulAction.lean |
2 |
8 |
['Ruben-VandeVelde', 'YaelDillies', 'github-actions', 'j-loreaux', 'mathlib-merge-conflicts'] |
nobody |
0-61129 16 hours ago |
1-4980 1 day ago |
22-59984 22 days |
1 |
| 42692 |
Parcly-Taxel author:Parcly-Taxel |
refactor: unify `Set.mem_ofPred_eq` into `Set.mem_ofPred` |
Before:
```lean
@[simp, mfld_simps, push]
theorem mem_ofPred_eq {x : α} {p : α → Prop} : (x ∈ {y | p y}) = p x := rfl
theorem mem_ofPred {a : α} {p : α → Prop} : a ∈ { x | p x } ↔ p a := Iff.rfl
```
After:
```lean
@[simp, mfld_simps, push]
theorem mem_ofPred {x : α} {p : α → Prop} : (x ∈ {y | p y}) = p x := rfl
@[deprecated (since := "2026-08-12")] alias mem_ofPred_eq := mem_ofPred
```
Note that the lemma with iff is unusable by `dsimp`. |
tech debt |
1008/1011 |
Archive/Imo/Imo1988Q6.lean,Archive/Imo/Imo2008Q2.lean,Archive/Imo/Imo2024Q3.lean,Archive/Sensitivity.lean,Archive/Wiedijk100Theorems/AreaOfACircle.lean,Archive/Wiedijk100Theorems/BallotProblem.lean,Archive/Wiedijk100Theorems/CubingACube.lean,Archive/ZagierTwoSquares.lean,Counterexamples/AharoniKorman.lean,Counterexamples/Phillips.lean,Counterexamples/SorgenfreyLine.lean,Mathlib/Algebra/AffineMonoid/Irreducible.lean,Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean,Mathlib/Algebra/Algebra/Spectrum/Pi.lean,Mathlib/Algebra/Algebra/Spectrum/Quasispectrum.lean,Mathlib/Algebra/Algebra/Subalgebra/Basic.lean,Mathlib/Algebra/BigOperators/Associated.lean,Mathlib/Algebra/Category/Ring/Topology.lean,Mathlib/Algebra/Group/Subgroup/Basic.lean,Mathlib/Algebra/Group/Submonoid/Basic.lean,Mathlib/Algebra/Group/Submonoid/Defs.lean,Mathlib/Algebra/GroupWithZero/NonZeroDivisors.lean,Mathlib/Algebra/Homology/HomotopyCategory/HomComplexCohomology.lean,Mathlib/Algebra/Lie/Abelian.lean,Mathlib/Algebra/Lie/Basis/Base.lean,Mathlib/Algebra/Lie/Basis/Basic.lean,Mathlib/Algebra/Lie/Character.lean,Mathlib/Algebra/Lie/IdealOperations.lean,Mathlib/Algebra/Lie/InvariantForm.lean,Mathlib/Algebra/Lie/LieTheorem.lean,Mathlib/Algebra/Lie/Semisimple/Basic.lean,Mathlib/Algebra/Lie/Solvable.lean,Mathlib/Algebra/Lie/Subalgebra.lean,Mathlib/Algebra/Lie/Submodule.lean,Mathlib/Algebra/Lie/Weights/Cartan.lean,Mathlib/Algebra/Lie/Weights/Killing.lean,Mathlib/Algebra/Module/Submodule/Invariant.lean,Mathlib/Algebra/Module/ZLattice/Basic.lean,Mathlib/Algebra/Module/ZLattice/Covolume.lean,Mathlib/Algebra/Notation/Support.lean,Mathlib/Algebra/Order/Antidiag/Nat.lean,Mathlib/Algebra/Order/Archimedean/IndicatorCard.lean,Mathlib/Algebra/Order/CompleteField.lean,Mathlib/Algebra/Order/Group/Ideal.lean,Mathlib/Algebra/Order/Group/Pointwise/Interval.lean,Mathlib/Algebra/Order/Quantale.lean,Mathlib/Algebra/Order/Rearrangement.lean,Mathlib/Algebra/Polynomial/EraseLead.lean,Mathlib/Algebra/Star/Unitary.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Affine/Point.lean,Mathlib/AlgebraicGeometry/Morphisms/Affine.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Topology.lean,Mathlib/AlgebraicTopology/SimplicialSet/Boundary.lean,Mathlib/AlgebraicTopology/SimplicialSet/Simplices.lean,Mathlib/AlgebraicTopology/SimplicialSet/StdSimplex.lean,Mathlib/Analysis/Analytic/Composition.lean,Mathlib/Analysis/Analytic/Constructions.lean,Mathlib/Analysis/Analytic/Inverse.lean,Mathlib/Analysis/Analytic/Order.lean,Mathlib/Analysis/Asymptotics/Lemmas.lean,Mathlib/Analysis/BoxIntegral/Basic.lean,Mathlib/Analysis/BoxIntegral/Partition/Filter.lean,Mathlib/Analysis/BoxIntegral/Partition/Split.lean,Mathlib/Analysis/BoxIntegral/UnitPartition.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Continuity.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Order.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Range.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Unitary.lean,Mathlib/Analysis/CStarAlgebra/Extreme.lean,Mathlib/Analysis/CStarAlgebra/Spectrum.lean,Mathlib/Analysis/CStarAlgebra/Unitary/Connected.lean,Mathlib/Analysis/Calculus/BumpFunction/SmoothApprox.lean,Mathlib/Analysis/Calculus/Deriv/Inv.lean,Mathlib/Analysis/Calculus/FDeriv/Measurable.lean,Mathlib/Analysis/Calculus/FDeriv/Symmetric.lean,Mathlib/Analysis/Calculus/LineDeriv/Basic.lean,Mathlib/Analysis/Calculus/ParametricIntegral.lean,Mathlib/Analysis/Calculus/SmoothSeries.lean,Mathlib/Analysis/Calculus/TangentCone/Basic.lean,Mathlib/Analysis/Complex/AbelLimit.lean,Mathlib/Analysis/Complex/Basic.lean,Mathlib/Analysis/Complex/BorelCaratheodory.lean,Mathlib/Analysis/Complex/PhragmenLindelof.lean,Mathlib/Analysis/Convex/Caratheodory.lean,Mathlib/Analysis/Convex/Combination.lean,Mathlib/Analysis/Convex/Deriv.lean,Mathlib/Analysis/Convex/DoublyStochasticMatrix.lean,Mathlib/Analysis/Convex/Extrema.lean,Mathlib/Analysis/Convex/Gauge.lean,Mathlib/Analysis/Convex/Quasiconvex.lean,Mathlib/Analysis/Convex/Segment.lean,Mathlib/Analysis/Convex/SimplicialComplex/AffineIndependentUnion.lean,Mathlib/Analysis/Convex/StdSimplex.lean,Mathlib/Analysis/Distribution/TemperateGrowth.lean,Mathlib/Analysis/InnerProductSpace/Defs.lean,Mathlib/Analysis/InnerProductSpace/LinearPMap.lean,Mathlib/Analysis/LocallyConvex/BalancedCoreHull.lean,Mathlib/Analysis/LocallyConvex/Polar.lean,Mathlib/Analysis/Matrix/Order.lean,Mathlib/Analysis/MeanInequalities.lean |
510 |
30 |
['Parcly-Taxel', 'eric-wieser', 'github-actions', 'grunweg', 'mathlib-merge-conflicts'] |
nobody |
0-58395 16 hours ago |
0-61134 16 hours ago |
4-72375 4 days |
0 |
| 42909 |
EtienneC30 author:EtienneC30 |
refactor(Probability/Distributions/Uniform): change uniformOfFinset and ofMultiset from PMF to Measure |
Turn [PMF.uniformOfFinset](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Probability/Distributions/Uniform.html#PMF.uniformOfFinset) and [PMF.ofMultiset](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Probability/Distributions/Uniform.html#PMF.ofMultiset) into measures.
This is part of #42821 which deprecates `PMF`.
---
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|
t-measure-probability |
85/114 |
Mathlib/Probability/Distributions/Uniform.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
RemyDegenne assignee:RemyDegenne |
0-52725 14 hours ago |
0-53384 14 hours ago |
39-46046 39 days |
1 |
| 44372 |
Formalistic03 author:Formalistic03 |
feat(GroupTheory/Perm/Cycle/Basic): subtypePerm preserves IsCycleOn |
---
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|
t-group-theory
new-contributor
|
26/0 |
Mathlib/Algebra/Group/End.lean,Mathlib/GroupTheory/Perm/Cycle/Basic.lean |
2 |
3 |
['github-actions', 'wwylele'] |
nobody |
0-51413 14 hours ago |
1-1729 1 day ago |
1-1450 1 day |
0 |
| 42790 |
xroblot author:xroblot |
chore(RingTheory/Ideal/Norm): weaken the `Ideal.absNorm` API to rings with finite quotients |
The last results of the `Ideal.absNorm` API that still assumed a `ℤ`-basis are weakened to their honest hypotheses: `absNorm_eq_zero_iff` and its `nonZeroDivisors` corollaries only need `Ring.HasFiniteQuotients` and `Infinite`, while the results whose statement involves `ℤ` (`exists_prime_and_absNorm_eq_pow`, `exists_isMaximal_dvd_of_dvd_absNorm`) need `CharZero` or `FaithfulSMul ℤ` together with `Algebra.IsIntegral ℤ`.
`exists_prime_and_absNorm_eq_pow` is also split, the primed version taking `P ≠ ⊥` as an explicit hypothesis and the unprimed one deducing it.
`exists_isMaximal_dvd_of_dvd_absNorm` now takes `FaithfulSMul ℤ S` explicitly. This is not a new requirement on callers: it was previously implied by the `Module.Free ℤ S` that the statement no longer assumes.
This is the fourth part of a sequence of PRs generalizing `Ideal.absNorm` away from `Module.Free ℤ`, after #42081, #42784 and #42787.
Prepared with Claude Code 🤖
---
- [x] depends on: #42787
|
t-ring-theory |
110/66 |
Mathlib/NumberTheory/NumberField/Discriminant/Different.lean,Mathlib/RingTheory/FractionalIdeal/Norm.lean,Mathlib/RingTheory/Ideal/Norm/AbsNorm.lean,Mathlib/RingTheory/Ideal/Norm/RelNorm.lean,Mathlib/RingTheory/Ideal/Quotient/HasFiniteQuotients/Basic.lean |
5 |
13 |
['github-actions', 'jcommelin', 'leanprover-radar', 'mathlib-dependent-issues', 'xroblot'] |
nobody |
0-47885 13 hours ago |
16-30169 16 days ago |
28-70232 28 days |
1 |
| 44094 |
Nicola9Falciola author:Nicola9Falciola |
feat(LinearAlgebra/Matrix/SpecialLinearGroup): add the induced group equiv on `SL n` by a ring equiv and the equivalence between `SL n (Π i, R i) ≃* Π i, SL n (R i) ` |
---
Following the API in Data/Matrix/Basic I add :
- The `MulEquiv` : ` SL n R ≃* SL n S` induced by a `RingEquiv` and relative API.
- The `MulEquiv` : `SL n (Π i, R i) ≃* Π i, SL n (R i)`
- I have added a `simp` lemma that for `SpecialLinearGroup.map` following the API for `Matrix` that was missing.
- The `MulEquiv` : `SL m R ≃* SL n S` induced by ` m ≃ n `.
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|
t-algebra label:t-algebra$ |
77/1 |
Mathlib/LinearAlgebra/Matrix/SpecialLinearGroup.lean |
1 |
1 |
['github-actions'] |
nobody |
0-47379 13 hours ago |
6-14242 6 days ago |
8-57806 8 days |
1 |
| 40301 |
xroblot author:xroblot |
feat(RingTheory/UniqueFactorizationDomain): add emultiplicity characterizations |
Adds characterizations of primality, vanishing, associatedness and equality in `WfDvdMonoid`/`UniqueFactorizationMonoid` in terms of `emultiplicity`:
- `Prime.emultiplicity_self`, `Prime.emultiplicity_prime`
- `WfDvdMonoid.eq_zero_iff_forall_prime_pow_dvd`, `WfDvdMonoid.ne_zero_iff_finiteMultiplicity`
- `UniqueFactorizationMonoid.associated_iff_emultiplicity_eq(')`, `UniqueFactorizationMonoid.eq_iff_emultiplicity_eq`
:robot: This PR was extracted from the [SKW project](https://github.com/xroblot/SKW) by Claude. |
t-ring-theory |
68/0 |
Mathlib/RingTheory/UniqueFactorizationDomain/Multiplicity.lean |
1 |
1 |
['github-actions'] |
mariainesdff assignee:mariainesdff |
0-47332 13 hours ago |
15-26928 15 days ago |
90-39543 90 days |
0 |
| 40728 |
Formalistic03 author:Formalistic03 |
feat(Combinatorics/SimpleGraph/Hasse): more properties of Hasse graphs of linear orders |
- two forms of an intermediate value theorem for linear orders
- the Hasse graph of a linear order is acyclic
- a path graph is locally finite
---
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|
new-contributor
t-combinatorics
|
88/11 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/CycleGraph.lean,Mathlib/Combinatorics/SimpleGraph/Hasse.lean,Mathlib/Data/Fintype/Defs.lean |
4 |
44 |
['Formalistic03', 'Multramate', 'SnirBroshi', 'b-mehta', 'github-actions', 'mathlib-merge-conflicts'] |
b-mehta assignee:b-mehta |
0-46028 12 hours ago |
0-46028 12 hours ago |
97-61664 97 days |
0 |
| 42647 |
martinwintermath author:martinwintermath |
feat(Geometry/Convex): add polytopes |
This PR adds the predicate `IsPolytope` for a subset of a `ConvexSpace`.
This is the first PR in a series of PRs implementing polytope theory.
---
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|
t-convex-geometry |
128/0 |
Mathlib.lean,Mathlib/Geometry/Convex/Polytope/Basic.lean |
2 |
61 |
['Parcly-Taxel', 'YaelDillies', 'faenuccio', 'github-actions', 'grunweg', 'martinwintermath', 'ooovi', 'vihdzp', 'wwylele'] |
faenuccio assignee:faenuccio |
0-43481 12 hours ago |
0-43487 12 hours ago |
44-40579 44 days |
0 |
| 43373 |
Parcly-Taxel author:Parcly-Taxel |
feat: `2 ^ n ≤ lcmUpto n` for `7 ≤ n` |
This proof is even more elementary than Nair's proof (_American Mathematical Monthly_ **89** (2), February 1982, 126–129). Inspired by [this Zulip discussion](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Bounds.20of.20Chebyshev.20Functions/with/621120558).
Co-authored-by: Aristotle (Harmonic) <aristotle-harmonic@harmonic.fun>
The original Aristotle run is [here](https://aristotle.harmonic.fun/dashboard/requests/9fd88021-f5b1-4e7f-99fc-450d5edc9590).
We also add a slightly stronger lower bound on the prime-counting function based on the new result as `pi_ge_of_four_le`. |
t-number-theory
LLM-generated
|
73/16 |
Mathlib/Data/Nat/Choose/Central.lean,Mathlib/Data/Nat/Choose/Factorization.lean,Mathlib/NumberTheory/Chebyshev.lean |
3 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
0-41476 11 hours ago |
15-71016 15 days ago |
27-68918 27 days |
0 |
| 44381 |
thomaskwaring author:thomaskwaring |
feat(MeasureTheory/Measure/Typeclasses/SigmaFinite): finite sets have finite measure |
In a sigma-finite measure space, finite sets have finite measure.
Co-authored-by: Samuel Schlesinger <sgschlesinger@gmail.com>
--- |
t-measure-probability |
4/0 |
Mathlib/MeasureTheory/Measure/Typeclasses/SFinite.lean |
1 |
1 |
['github-actions'] |
nobody |
0-39370 10 hours ago |
0-40602 11 hours ago |
0-40323 11 hours |
0 |
| 40197 |
plp127 author:plp127 |
feat: valuation of an algebraic element |
We prove that if `x` is algebraic over `K` then there exists some `n ≠ 0` such that the valuation of `x` raised to the `n`-th power is equal to the valuation of some element of `K`.
---
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|
t-ring-theory |
63/0 |
Mathlib.lean,Mathlib/RingTheory/Valuation/Algebraic.lean,Mathlib/RingTheory/Valuation/Basic.lean |
3 |
5 |
['github-actions', 'jjdishere', 'plp127'] |
mattrobball assignee:mattrobball |
0-39028 10 hours ago |
0-40210 11 hours ago |
108-7304 108 days |
0 |
| 41884 |
luigi-massacci author:luigi-massacci |
feat: the delta distribution is induced by the dirac measure |
The title
---
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[](https://gitpod.io/from-referrer/)
|
t-analysis
easy
|
4/0 |
Mathlib/Analysis/Distribution/Distribution.lean |
1 |
7 |
['github-actions', 'luigi-massacci', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mcdoll'] |
nobody |
0-38873 10 hours ago |
0-39802 10 hours ago |
11-9566 11 days |
0 |
| 44141 |
JX-Mo author:JX-Mo |
chore(RepresentationTheory): remove DecidableEq condition |
We remove 15 `DecidableEq`s by openning `Classical` only occasionally in `Equiv.lean`, so that all downstream proofs do not need to carry this condition.
Note that they are already `noncomputable` even with `DecidableEq` anyway: `finsuppTensorLeft/Right` needs `TensorProduct.finsuppLeft/Right` which is `noncomputable` |
t-algebra
tech debt
label:t-algebra$ |
18/21 |
Mathlib/RepresentationTheory/Coinvariants.lean,Mathlib/RepresentationTheory/Equiv.lean,Mathlib/RepresentationTheory/Homological/GroupHomology/Basic.lean,Mathlib/RepresentationTheory/Homological/GroupHomology/FiniteCyclic.lean,Mathlib/RepresentationTheory/Homological/GroupHomology/Shapiro.lean |
5 |
7 |
['JX-Mo', 'Whysoserioushah', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts'] |
nobody |
0-35990 9 hours ago |
2-9958 2 days ago |
8-10555 8 days |
1 |
| 44145 |
Rida-Hamadani author:Rida-Hamadani |
feat(Analysis): translations preserve harmonicity |
also proves that translations preserves `C^n` regularity.
---
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|
t-analysis |
63/0 |
Mathlib/Analysis/Calculus/ContDiff/Operations.lean,Mathlib/Analysis/InnerProductSpace/Harmonic/Basic.lean,Mathlib/Analysis/InnerProductSpace/Laplacian.lean |
3 |
1 |
['github-actions'] |
nobody |
0-34517 9 hours ago |
7-85508 7 days ago |
7-85229 7 days |
0 |
| 26479 |
thefundamentaltheor3m author:thefundamentaltheor3m |
feat(Analysis/Complex/CauchyIntegral): Cauchy–Goursat for Unbounded Rectangles |
In this PR, we prove versions of the Cauchy-Goursat theorem where the contours in question are rectangular and unbounded (ie, where the contours look like the $\bigsqcup$ symbol). I am not sure if I have formalised these in the best way, or if `Analysis.Complex.CauchyIntegral` is the best place for them (it might be prudent to reorganise the file into multiple files at some point), but I believe this is a useful result. Suggestions welcome.
---
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|
new-contributor
t-analysis
sphere-packing
maintainer-merge
|
169/0 |
Mathlib/Analysis/Complex/CauchyIntegral.lean |
1 |
52 |
['github-actions', 'j-loreaux', 'loefflerd', 'mathlib-splicebot', 'mathlib4-merge-conflict-bot', 'ocfnash', 'thefundamentaltheor3m', 'themathqueen', 'wwylele'] |
j-loreaux assignee:j-loreaux |
0-28997 8 hours ago |
0-77737 21 hours ago |
128-70364 128 days |
0 |
| 44333 |
dependabot author:dependabot |
chore(deps): bump the actions-version-updates group across 1 directory with 7 updates |
Bumps the actions-version-updates group with 7 updates in the /.github/workflows directory:
| Package | From | To |
| --- | --- | --- |
| [reviewdog/action-actionlint](https://github.com/reviewdog/action-actionlint) | `1.73.0` | `1.77.0` |
| [leanprover/lean-action](https://github.com/leanprover/lean-action) | `1.5.0` | `1.6.0` |
| [docker/build-push-action](https://github.com/docker/build-push-action) | `7.3.0` | `7.4.0` |
| [actions/attest-build-provenance](https://github.com/actions/attest-build-provenance) | `4.1.1` | `4.2.2` |
| [corentinmusard/otel-cicd-action](https://github.com/corentinmusard/otel-cicd-action) | `4.1.0` | `4.2.0` |
| [dawidd6/action-download-artifact](https://github.com/dawidd6/action-download-artifact) | `21` | `26` |
| [softprops/action-gh-release](https://github.com/softprops/action-gh-release) | `3.0.2` | `3.0.3` |
Updates `reviewdog/action-actionlint` from 1.73.0 to 1.77.0
<details>
<summary>Release notes</summary>
<p><em>Sourced from <a href="https://github.com/reviewdog/action-actionlint/releases">reviewdog/action-actionlint's releases</a>.</em></p>
<blockquote>
<h2>Release v1.77.0</h2>
<h2>What's Changed</h2>
<ul>
<li>chore(deps): update dependency pyflakes to v4 by <a href="https://github.com/renovate"><code>@renovate</code></a>[bot] in <a href="https://redirect.github.com/reviewdog/action-actionlint/pull/244">reviewdog/action-actionlint#244</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/reviewdog/action-actionlint/compare/v1.76.3...v1.77.0">https://github.com/reviewdog/action-actionlint/compare/v1.76.3...v1.77.0</a></p>
<h2>Release v1.76.3</h2>
<h2>What's Changed</h2>
<ul>
<li>fix: preserve quoted spaces in actionlint/reviewdog flags by <a href="https://github.com/shogo82148"><code>@shogo82148</code></a> in <a href="https://redirect.github.com/reviewdog/action-actionlint/pull/243">reviewdog/action-actionlint#243</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/reviewdog/action-actionlint/compare/v1.76.2...v1.76.3">https://github.com/reviewdog/action-actionlint/compare/v1.76.2...v1.76.3</a></p>
<h2>Release v1.76.2</h2>
<h2>What's Changed</h2>
<ul>
<li>fix: preserve actionlint operational exit codes (2, 3) by <a href="https://github.com/shogo82148"><code>@shogo82148</code></a> in <a href="https://redirect.github.com/reviewdog/action-actionlint/pull/242">reviewdog/action-actionlint#242</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/reviewdog/action-actionlint/compare/v1.76.1...v1.76.2">https://github.com/reviewdog/action-actionlint/compare/v1.76.1...v1.76.2</a></p>
<h2>Release v1.76.1</h2>
<h2>What's Changed</h2>
<ul>
<li>chore(deps): update python:3.14.7-alpine3.24 docker digest to 9e9fde4 by <a href="https://github.com/renovate"><code>@renovate</code></a>[bot] in <a href="https://redirect.github.com/reviewdog/action-actionlint/pull/241">reviewdog/action-actionlint#241</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/reviewdog/action-actionlint/compare/v1.76.0...v1.76.1">https://github.com/reviewdog/action-actionlint/compare/v1.76.0...v1.76.1</a></p>
<h2>Release v1.76.0</h2>
<h2>What's Changed</h2>
<ul>
<li>chore(deps): update reviewdog to 0.21.2 by <a href="https://github.com/github-actions"><code>@github-actions</code></a>[bot] in <a href="https://redirect.github.com/reviewdog/action-actionlint/pull/239">reviewdog/action-actionlint#239</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/reviewdog/action-actionlint/compare/v1.75.3...v1.76.0">https://github.com/reviewdog/action-actionlint/compare/v1.75.3...v1.76.0</a></p>
<h2>Release v1.75.3</h2>
<h2>What's Changed</h2>
<ul>
<li>chore(deps): update python:3.14.7-alpine3.24 docker digest to 016508b by <a href="https://github.com/renovate"><code>@renovate</code></a>[bot] in <a href="https://redirect.github.com/reviewdog/action-actionlint/pull/238">reviewdog/action-actionlint#238</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/reviewdog/action-actionlint/compare/v1.75.2...v1.75.3">https://github.com/reviewdog/action-actionlint/compare/v1.75.2...v1.75.3</a></p>
<h2>Release v1.75.2</h2>
<h2>What's Changed</h2>
<ul>
<li>chore(deps): update python:3.14.7-alpine3.24 docker digest to 6f945b4 by <a href="https://github.com/renovate"><code>@renovate</code></a>[bot] in <a href="https://redirect.github.com/reviewdog/action-actionlint/pull/237">reviewdog/action-actionlint#237</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/reviewdog/action-actionlint/compare/v1.75.1...v1.75.2">https://github.com/reviewdog/action-actionlint/compare/v1.75.1...v1.75.2</a></p>
<h2>Release v1.75.1</h2>
<!-- raw HTML omitted -->
</blockquote>
<p>... (truncated)</p>
</details>
<details>
<summary>Commits</summary>
<ul>
<li><a href="https://github.com/reviewdog/action-actionlint/commit/2085657ab2c7f48c58edcc767fba576f63bea76b"><code>2085657</code></a> bump v1.77.0</li>
<li><a href="https://github.com/reviewdog/action-actionlint/commit/6532460194b88bcede78025173717b79f4b6756a"><code>6532460</code></a> Merge branch 'main' into releases/v1</li>
<li><a href="https://github.com/reviewdog/action-actionlint/commit/ee28dc79d2c7e07b6a9c8abcf817194ab959c473"><code>ee28dc7</code></a> Merge pull request <a href="https://redirect.github.com/reviewdog/action-actionlint/issues/244">#244</a> from reviewdog/renovate/pyflakes-4.x</li>
<li><a href="https://github.com/reviewdog/action-actionlint/commit/09ae7fd4db86ca8b6b67ea1329a1429885983f70"><code>09ae7fd</code></a> chore(deps): update dependency pyflakes to v4</li>
<li><a href="https://github.com/reviewdog/action-actionlint/commit/23bcc6aa6e2ccffe1e7730111b98ddcaf34cb098"><code>23bcc6a</code></a> bump v1.76.3</li>
<li><a href="https://github.com/reviewdog/action-actionlint/commit/861ed9d751c6bcafa73d13f3a773dd00b4db661c"><code>861ed9d</code></a> Merge branch 'main' into releases/v1</li>
<li><a href="https://github.com/reviewdog/action-actionlint/commit/d338e49673182bbf9d45bc01e97782c2129fa7b5"><code>d338e49</code></a> Merge pull request <a href="https://redirect.github.com/reviewdog/action-actionlint/issues/243">#243</a> from reviewdog/fix-flags-quoting</li>
<li><a href="https://github.com/reviewdog/action-actionlint/commit/4db1873fa945e987eaf5272be8cc990fbc70aaae"><code>4db1873</code></a> fix: preserve quoted spaces in actionlint/reviewdog flags</li>
<li><a href="https://github.com/reviewdog/action-actionlint/commit/74dcecaa9a09bca1e65aabd3101fa0918354c9bf"><code>74dceca</code></a> bump v1.76.2</li>
<li><a href="https://github.com/reviewdog/action-actionlint/commit/f87ecf3bbdf0be7afa1e0822900b4c80a982289c"><code>f87ecf3</code></a> Merge branch 'main' into releases/v1</li>
<li>Additional commits viewable in <a href="https://github.com/reviewdog/action-actionlint/compare/50842263c20a7c46bd0065b9e624d3c569db061e...2085657ab2c7f48c58edcc767fba576f63bea76b">compare view</a></li>
</ul>
</details>
<br />
Updates `leanprover/lean-action` from 1.5.0 to 1.6.0
<details>
<summary>Release notes</summary>
<p><em>Sourced from <a href="https://github.com/leanprover/lean-action/releases">leanprover/lean-action's releases</a>.</em></p>
<blockquote>
<h2>v1.6.0</h2>
<h3>Added</h3>
<ul>
<li>new <code>leanchecker-args</code> input to pass arguments to <code>lake env leanchecker</code>,
e.g. <code>leanchecker-args: "-v"</code> for verbose output or explicit module prefixes
such as <code>leanchecker-args: "MyPkg.Core"</code> to narrow the set of modules checked</li>
<li>new <code>axiom-audit</code> input to audit the project's axioms with <a href="https://github.com/leanprover-community/axiom-audit">axiom-audit</a>: fail if any declaration depends on an axiom outside the allowlist (catches <code>sorry</code>, <code>native_decide</code>, and home-rolled axioms). Default: false</li>
<li>new <code>axiom-audit-allow</code> input for the allowlist (default: <code>propext,Classical.choice,Quot.sound</code>)</li>
<li>new <code>axiom-audit-root</code> input to set the audited root namespace (default: the lakefile's library name)</li>
<li>new <code>axiom-audit-status</code> output parameter</li>
<li>new <code>lint-args</code> input to specify arguments to pass to <code>lake lint</code></li>
<li>new <code>mk_all-args</code> input to pass arguments to <code>lake exe mk_all --check</code>, e.g. <code>mk_all-args: "--lib Carleson"</code> to restrict the check to a specific library</li>
<li>new <code>release.yml</code> workflow which automates the release process (see <code>RELEASING.md</code>)</li>
</ul>
<h3>Fixed</h3>
<ul>
<li>include <code>lake-package-directory</code> when hashing <code>lean-toolchain</code> and <code>lake-manifest.json</code> for the GitHub cache key, so projects whose Lake package lives in a subdirectory get a version-specific key instead of an empty one (the empty key previously caused stale, cross-version cache restores)</li>
<li>use a more portable shebang, useful for self-hosted runners</li>
</ul>
</blockquote>
</details>
<details>
<summary>Changelog</summary>
<p><em>Sourced from <a href="https://github.com/leanprover/lean-action/blob/main/CHANGELOG.md">leanprover/lean-action's changelog</a>.</em></p>
<blockquote>
<h1>Changelog</h1>
<p>All notable changes to <code>lean-action</code> will be documented in this file.</p>
<p>The format is based on <a href="https://keepachangelog.com/en/1.1.0/">Keep a Changelog</a>,
and this project adheres to <a href="https://semver.org/spec/v2.0.0.html">Semantic Versioning</a>.</p>
<h2>Unreleased</h2>
<h3>Changed</h3>
<ul>
<li>pin the <code>actions/cache</code> steps, and all actions used by this repository's workflows, to full commit SHAs, so that <code>lean-action</code> works in organizations that require SHA-pinned actions</li>
</ul>
<h2>v1.6.0 - 2026-08-22</h2>
<h3>Added</h3>
<ul>
<li>new <code>leanchecker-args</code> input to pass arguments to <code>lake env leanchecker</code>,
e.g. <code>leanchecker-args: "-v"</code> for verbose output or explicit module prefixes
such as <code>leanchecker-args: "MyPkg.Core"</code> to narrow the set of modules checked</li>
<li>new <code>axiom-audit</code> input to audit the project's axioms with <a href="https://github.com/leanprover-community/axiom-audit">axiom-audit</a>: fail if any declaration depends on an axiom outside the allowlist (catches <code>sorry</code>, <code>native_decide</code>, and home-rolled axioms). Default: false</li>
<li>new <code>axiom-audit-allow</code> input for the allowlist (default: <code>propext,Classical.choice,Quot.sound</code>)</li>
<li>new <code>axiom-audit-root</code> input to set the audited root namespace (default: the lakefile's library name)</li>
<li>new <code>axiom-audit-status</code> output parameter</li>
<li>new <code>lint-args</code> input to specify arguments to pass to <code>lake lint</code></li>
<li>new <code>mk_all-args</code> input to pass arguments to <code>lake exe mk_all --check</code>, e.g. <code>mk_all-args: "--lib Carleson"</code> to restrict the check to a specific library</li>
<li>new <code>release.yml</code> workflow which automates the release process (see <code>RELEASING.md</code>)</li>
</ul>
<h3>Fixed</h3>
<ul>
<li>include <code>lake-package-directory</code> when hashing <code>lean-toolchain</code> and <code>lake-manifest.json</code> for the GitHub cache key, so projects whose Lake package lives in a subdirectory get a version-specific key instead of an empty one (the empty key previously caused stale, cross-version cache restores)</li>
<li>use a more portable shebang, useful for self-hosted runners</li>
</ul>
<h2>v1.5.0 - 2026-04-21</h2>
<h3>Added</h3>
<ul>
<li>new <code>nanoda</code> input to check environment with <a href="https://github.com/ammkrn/nanoda_lib">nanoda</a> external type checker</li>
<li>new <code>nanoda-allow-sorry</code> input to permit sorryAx axiom when running nanoda (default: true)</li>
<li>new <code>nanoda-status</code> output parameter</li>
<li>new reusable workflow <code>nanoda-daily.yml</code> for scheduled daily verification with notifications</li>
</ul>
<h3>Changed</h3>
<ul>
<li>rename the <code>lean4checker</code> input to <code>leanchecker</code>, while keeping <code>lean4checker</code> as a deprecated alias</li>
<li>use the bundled <code>leanchecker</code> binary on Lean <code>nightly-2026-01-09</code> / <code>v4.28.0-rc1</code> and newer, with fallback to the external <code>lean4checker</code> repository on older toolchains</li>
</ul>
<h3>Fixed</h3>
<ul>
<li>fixed bug where callling <code>.test.sh</code> instead of <code>lake test</code> on lean4checker on Lean <code>v4.27.x</code> would cause a failure</li>
</ul>
<!-- raw HTML omitted -->
</blockquote>
<p>... (truncated)</p>
</details>
<details>
<summary>Commits</summary>
<ul>
<li><a href="https://github.com/leanprover/lean-action/commit/50fcf42d2e460296f1a34b402e990d1b24f8b596"><code>50fcf42</code></a> feat: add <code>mk_all-args</code> input (<a href="https://redirect.github.com/leanprover/lean-action/issues/185">#185</a>)</li>
<li><a href="https://github.com/leanprover/lean-action/commit/6835ef47e8423fa9e9eacfcbb8fdf83fae42c820"><code>6835ef4</code></a> feat: automate the release process with a release workflow (<a href="https://redirect.github.com/leanprover/lean-action/issues/183">#183</a>)</li>
<li><a href="https://github.com/leanprover/lean-action/commit/0e73be80ca15302f7b414deda85446d8bb279623"><code>0e73be8</code></a> feat: add <code>leanchecker-args</code> input (<a href="https://redirect.github.com/leanprover/lean-action/issues/162">#162</a>)</li>
<li><a href="https://github.com/leanprover/lean-action/commit/18a062826fdb79a0d5aac97f7fd09d8bfe6696bc"><code>18a0628</code></a> feat: add opt-in axiom-audit check (<a href="https://redirect.github.com/leanprover/lean-action/issues/166">#166</a>)</li>
<li><a href="https://github.com/leanprover/lean-action/commit/6871e54eb1c5827d248c9767f1ea263ac65f6991"><code>6871e54</code></a> fix: pass resolved toolchain to <code>lake-lint-args</code> functional test (<a href="https://redirect.github.com/leanprover/lean-action/issues/182">#182</a>)</li>
<li><a href="https://github.com/leanprover/lean-action/commit/c7d824f443b42759660338f9d4968ebb1bec1398"><code>c7d824f</code></a> docs: document <code>LEAN_NUM_THREADS</code> workaround for <code>leanchecker</code> memory exhaust...</li>
<li><a href="https://github.com/leanprover/lean-action/commit/236e6155a3b84fd07019c3205b899871d2356635"><code>236e615</code></a> feat: add lint-args configuration input (<a href="https://redirect.github.com/leanprover/lean-action/issues/149">#149</a>)</li>
<li><a href="https://github.com/leanprover/lean-action/commit/62e5cb3cc94251736f17cfb2c4149efd7f2f39d6"><code>62e5cb3</code></a> chore(deps): bump actions/checkout from 4 to 7 (<a href="https://redirect.github.com/leanprover/lean-action/issues/174">#174</a>)</li>
<li><a href="https://github.com/leanprover/lean-action/commit/fd79d79bb522bcaa3532aabc22522cde2af0de07"><code>fd79d79</code></a> chore(deps): bump peter-evans/create-pull-request from 7 to 8 (<a href="https://redirect.github.com/leanprover/lean-action/issues/172">#172</a>)</li>
<li><a href="https://github.com/leanprover/lean-action/commit/44bde84f610b8c89a1c5064fdf4e42f446ac78cb"><code>44bde84</code></a> fix: include lake-package-directory in cache key hashes (<a href="https://redirect.github.com/leanprover/lean-action/issues/167">#167</a>)</li>
<li>Additional commits viewable in <a href="https://github.com/leanprover/lean-action/compare/38fbc41a8c28c4cbaec22d7f7de508ec2e7c0dd9...50fcf42d2e460296f1a34b402e990d1b24f8b596">compare view</a></li>
</ul>
</details>
<br />
Updates `docker/build-push-action` from 7.3.0 to 7.4.0
<details>
<summary>Release notes</summary>
<p><em>Sourced from <a href="https://github.com/docker/build-push-action/releases">docker/build-push-action's releases</a>.</em></p>
<blockquote>
<h2>v7.4.0</h2>
<ul>
<li>Use the shared error helper for Buildx commands by <a href="https://github.com/crazy-max"><code>@crazy-max</code></a> in <a href="https://redirect.github.com/docker/build-push-action/pull/1620">docker/build-push-action#1620</a></li>
<li>Prevent workflow command injection in metadata logs by <a href="https://github.com/crazy-max"><code>@crazy-max</code></a> in <a href="https://redirect.github.com/docker/build-push-action/pull/1617">docker/build-push-action#1617</a></li>
<li>Bump <code>@docker/actions-toolkit</code> from 0.92.0 to 0.100.0 in <a href="https://redirect.github.com/docker/build-push-action/pull/1614">docker/build-push-action#1614</a> <a href="https://redirect.github.com/docker/build-push-action/pull/1618">docker/build-push-action#1618</a> <a href="https://redirect.github.com/docker/build-push-action/pull/1621">docker/build-push-action#1621</a></li>
<li>Bump <code>@humanfs/node</code> from 0.16.7 to 0.16.8 in <a href="https://redirect.github.com/docker/build-push-action/pull/1609">docker/build-push-action#1609</a></li>
<li>Bump brace-expansion from 1.1.13 to 1.1.18 in <a href="https://redirect.github.com/docker/build-push-action/pull/1592">docker/build-push-action#1592</a></li>
<li>Bump csv-parse from 7.0.0 to 7.0.2 in <a href="https://redirect.github.com/docker/build-push-action/pull/1613">docker/build-push-action#1613</a></li>
<li>Bump js-yaml from 4.3.0 to 4.3.2 in <a href="https://redirect.github.com/docker/build-push-action/pull/1605">docker/build-push-action#1605</a> <a href="https://redirect.github.com/docker/build-push-action/pull/1615">docker/build-push-action#1615</a></li>
<li>Bump nanoid from 3.3.16 to 3.3.18 in <a href="https://redirect.github.com/docker/build-push-action/pull/1611">docker/build-push-action#1611</a></li>
<li>Bump postcss from 8.5.10 to 8.5.25 in <a href="https://redirect.github.com/docker/build-push-action/pull/1590">docker/build-push-action#1590</a></li>
<li>Bump postcss-selector-parser from 7.1.1 to 7.1.5 in <a href="https://redirect.github.com/docker/build-push-action/pull/1606">docker/build-push-action#1606</a></li>
<li>Bump sigstore from 4.1.0 to 4.1.1 in <a href="https://redirect.github.com/docker/build-push-action/pull/1577">docker/build-push-action#1577</a></li>
<li>Bump undici from 6.27.0 to 6.28.0 in <a href="https://redirect.github.com/docker/build-push-action/pull/1594">docker/build-push-action#1594</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/docker/build-push-action/compare/v7.3.0...v7.4.0">https://github.com/docker/build-push-action/compare/v7.3.0...v7.4.0</a></p>
</blockquote>
</details>
<details>
<summary>Commits</summary>
<ul>
<li><a href="https://github.com/docker/build-push-action/commit/c3c9e263c25d99ce0380d002d59b67737d91b0dc"><code>c3c9e26</code></a> Merge pull request <a href="https://redirect.github.com/docker/build-push-action/issues/1621">#1621</a> from docker/dependabot/npm_and_yarn/docker/actions-t...</li>
<li><a href="https://github.com/docker/build-push-action/commit/459b6741834dcd35f946352017e7675bd2089d42"><code>459b674</code></a> [dependabot skip] chore: update generated content</li>
<li><a href="https://github.com/docker/build-push-action/commit/4dedcb23c91d79c1629bf53ec2c3bcfffef5b34e"><code>4dedcb2</code></a> chore(deps): Bump <code>@docker/actions-toolkit</code> from 0.99.0 to 0.100.0</li>
<li><a href="https://github.com/docker/build-push-action/commit/379bf63a979bd70751945601fa04c50674509952"><code>379bf63</code></a> Merge pull request <a href="https://redirect.github.com/docker/build-push-action/issues/1620">#1620</a> from crazy-max/buildx-error-message</li>
<li><a href="https://github.com/docker/build-push-action/commit/9877975c9e0b0b661592ff61049069507f9bc2f6"><code>9877975</code></a> chore: update generated content</li>
<li><a href="https://github.com/docker/build-push-action/commit/7ed0556ffafb8eb312463411ef0a84a1dfe24d94"><code>7ed0556</code></a> use the shared Buildx error summary helper</li>
<li><a href="https://github.com/docker/build-push-action/commit/91670ba5a4df99a24efff8637a78c83fd1b0f6b1"><code>91670ba</code></a> Merge pull request <a href="https://redirect.github.com/docker/build-push-action/issues/1618">#1618</a> from docker/dependabot/npm_and_yarn/docker/actions-t...</li>
<li><a href="https://github.com/docker/build-push-action/commit/80dbc8614a5c0ce4356740f69179cf829ecdc79a"><code>80dbc86</code></a> [dependabot skip] chore: update generated content</li>
<li><a href="https://github.com/docker/build-push-action/commit/50cac3a3b6f55e6015d6483d1dd72a3ecb90d20d"><code>50cac3a</code></a> chore(deps): Bump <code>@docker/actions-toolkit</code> from 0.98.0 to 0.99.0</li>
<li><a href="https://github.com/docker/build-push-action/commit/03b4d6cac0163b44733e1fa60adfd6da560ee4d1"><code>03b4d6c</code></a> Merge pull request <a href="https://redirect.github.com/docker/build-push-action/issues/1617">#1617</a> from crazy-max/fix-metadata-workflow-commands</li>
<li>Additional commits viewable in <a href="https://github.com/docker/build-push-action/compare/53b7df96c91f9c12dcc8a07bcb9ccacbed38856a...c3c9e263c25d99ce0380d002d59b67737d91b0dc">compare view</a></li>
</ul>
</details>
<br />
Updates `actions/attest-build-provenance` from 4.1.1 to 4.2.2
<details>
<summary>Release notes</summary>
<p><em>Sourced from <a href="https://github.com/actions/attest-build-provenance/releases">actions/attest-build-provenance's releases</a>.</em></p>
<blockquote>
<h2>v4.2.2</h2>
<blockquote>
<p>[!NOTE]
As of version 4, <code>actions/attest-build-provenance</code> is simply a wrapper on top of <a href="https://github.com/actions/attest"><code>actions/attest</code></a>.</p>
<p>Existing applications may continue to use the <code>attest-build-provenance</code> action, but new implementations should use <code>actions/attest</code> instead.</p>
</blockquote>
<h2>What's Changed</h2>
<ul>
<li>Bump actions/attest from 4.2.0 to 4.2.1 in the actions-minor group by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/actions/attest-build-provenance/pull/862">actions/attest-build-provenance#862</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/actions/attest-build-provenance/compare/v4.1.1...v4.2.2">https://github.com/actions/attest-build-provenance/compare/v4.1.1...v4.2.2</a></p>
</blockquote>
</details>
<details>
<summary>Commits</summary>
<ul>
<li><a href="https://github.com/actions/attest-build-provenance/commit/4d101475d8b20a2381f78447822ac1eab6504dd8"><code>4d10147</code></a> Bump actions/attest from 4.2.0 to 4.2.1 in the actions-minor group (<a href="https://redirect.github.com/actions/attest-build-provenance/issues/862">#862</a>)</li>
<li><a href="https://github.com/actions/attest-build-provenance/commit/e3fe62ef559997059fe8380e7d2b4c909e2d65f4"><code>e3fe62e</code></a> Bump the actions-minor group with 2 updates (<a href="https://redirect.github.com/actions/attest-build-provenance/issues/860">#860</a>)</li>
<li>See full diff in <a href="https://github.com/actions/attest-build-provenance/compare/0f67c3f4856b2e3261c31976d6725780e5e4c373...4d101475d8b20a2381f78447822ac1eab6504dd8">compare view</a></li>
</ul>
</details>
<br />
Updates `corentinmusard/otel-cicd-action` from 4.1.0 to 4.2.0
<details>
<summary>Release notes</summary>
<p><em>Sourced from <a href="https://github.com/corentinmusard/otel-cicd-action/releases">corentinmusard/otel-cicd-action's releases</a>.</em></p>
<blockquote>
<h2>v4.2.0</h2>
<h3>Changed</h3>
<ul>
<li>Switch top-level pipeline run span kind from <code>INTERNAL</code> to <code>SERVER</code>, according to
OTel semconv: <a href="https://opentelemetry.io/docs/specs/semconv/cicd/cicd-spans/#pipeline-run">https://opentelemetry.io/docs/specs/semconv/cicd/cicd-spans/#pipeline-run</a></li>
</ul>
<h2>v4.1.1</h2>
<h3>Changed</h3>
<ul>
<li>CICD: skip the sourcemap when diffing dist. Streaming its diff to the job log dominated
the Validate dist step, pushing the build job to nearly ten minutes on a stale-bundle failure.</li>
<li>Build: rebuild dist for undici 6.28.0. Dependabot only updates package-lock.json,
but undici is a runtime dependency that rollup inlines into the committed bundle.</li>
<li>Editorial: Use Dash0 endpoints in README examples.</li>
</ul>
</blockquote>
</details>
<details>
<summary>Changelog</summary>
<p><em>Sourced from <a href="https://github.com/dash0hq/otel-cicd-action/blob/main/CHANGELOG.md">corentinmusard/otel-cicd-action's changelog</a>.</em></p>
<blockquote>
<h1>Changelog</h1>
<p>All notable changes to this project will be documented in this file.</p>
<p>The format is based on <a href="https://keepachangelog.com/en/1.1.0/">Keep a Changelog</a>,
and this project adheres to <a href="https://semver.org/spec/v2.0.0.html">Semantic Versioning</a>.</p>
<h2>[Unreleased]</h2>
<h2>[4.2.0] - 2026-09-18</h2>
<h3>Changed</h3>
<ul>
<li>Switch top-level pipeline run span kind from <code>INTERNAL</code> to <code>SERVER</code>, according to
OTel semconv: <a href="https://opentelemetry.io/docs/specs/semconv/cicd/cicd-spans/#pipeline-run">https://opentelemetry.io/docs/specs/semconv/cicd/cicd-spans/#pipeline-run</a></li>
</ul>
<h2>[4.1.1] - 2026-08-14</h2>
<h3>Changed</h3>
<ul>
<li>CICD: skip the sourcemap when diffing dist. Streaming its diff to the job log dominated
the Validate dist step, pushing the build job to nearly ten minutes on a stale-bundle failure.</li>
<li>Build: rebuild dist for undici 6.28.0. Dependabot only updates package-lock.json,
but undici is a runtime dependency that rollup inlines into the committed bundle.</li>
<li>Editorial: Use Dash0 endpoints in README examples.</li>
</ul>
<h2>[4.1.0] - 2026-07-27</h2>
<h3>Added</h3>
<ul>
<li>Added the <code>otlpInsecureSkipVerify</code> input for exporting to trusted internal OTLP endpoints whose
TLS certificates cannot be verified.
Thanks <a href="https://github.com/OneCyrus"><code>@OneCyrus</code></a>!</li>
</ul>
<h3>Changed</h3>
<ul>
<li>
<p>Span status now follows the OpenTelemetry
<a href="https://opentelemetry.io/docs/specs/semconv/general/recording-errors/">recording-errors</a>
conventions: it is set to <code>Error</code> (with the standard <code>error.type</code> attribute) for the
<code>failure</code>, <code>timed_out</code>, and <code>startup_failure</code> conclusions, and left unset otherwise
(previously it was set to <code>Ok</code> on success and <code>Error</code> only for <code>failure</code>).</p>
</li>
<li>
<p><strong>Removed</strong> the non-standard boolean <code>error</code> attribute from workflow, job, and step spans.
Use the span status or the <code>error.type</code> attribute instead.</p>
</li>
<li>
<p>The <code>github.job.labels</code> attribute is now exported as an array of strings instead of a
comma-separated string, consistent with the PR label attributes.</p>
</li>
<li>
<p>The repository was transferred from <code>corentinmusard/otel-cicd-action</code> to
<a href="https://github.com/dash0hq/otel-cicd-action"><code>dash0hq/otel-cicd-action</code></a> and is now maintained
by <a href="https://www.dash0.com">Dash0</a>. Existing <code>uses: corentinmusard/otel-cicd-action@v4</code> references
keep working via GitHub's redirect, but updating to <code>dash0hq/otel-cicd-action@v4</code> is recommended.</p>
</li>
</ul>
<!-- raw HTML omitted -->
</blockquote>
<p>... (truncated)</p>
</details>
<details>
<summary>Commits</summary>
<ul>
<li><a href="https://github.com/dash0hq/otel-cicd-action/commit/4826b79d63662fa91657272e7711420cb6aea543"><code>4826b79</code></a> chore: prepare release v4.2.0</li>
<li><a href="https://github.com/dash0hq/otel-cicd-action/commit/83ec6673ab6c824b086ded7b783f84a2e85774cc"><code>83ec667</code></a> Include PR <a href="https://redirect.github.com/corentinmusard/otel-cicd-action/issues/92">#92</a> to the CHANGELOG prior to releasing. (<a href="https://redirect.github.com/corentinmusard/otel-cicd-action/issues/95">#95</a>)</li>
<li><a href="https://github.com/dash0hq/otel-cicd-action/commit/d9c656c55c721288839dfb33d485272859506436"><code>d9c656c</code></a> fix: switch pipeline run span kind from <code>INTERNAL</code> to <code>SERVER</code> (<a href="https://redirect.github.com/corentinmusard/otel-cicd-action/issues/92">#92</a>)</li>
<li><a href="https://github.com/dash0hq/otel-cicd-action/commit/895874bfae14f840e3032f1a14c3f2b45c93f4af"><code>895874b</code></a> chore: prepare release v4.1.1 (<a href="https://redirect.github.com/corentinmusard/otel-cicd-action/issues/90">#90</a>)</li>
<li><a href="https://github.com/dash0hq/otel-cicd-action/commit/f6952e3b6c9f2e03aa1f9d2b161fa6a6a0a96263"><code>f6952e3</code></a> chore: update CHANGELOG with editorial/build/cicd updates. (<a href="https://redirect.github.com/corentinmusard/otel-cicd-action/issues/89">#89</a>)</li>
<li><a href="https://github.com/dash0hq/otel-cicd-action/commit/77885591de01eecfd4c5d7efa78006ce8fd9044f"><code>7788559</code></a> ci: skip the sourcemap when diffing dist</li>
<li><a href="https://github.com/dash0hq/otel-cicd-action/commit/46633641d19b828dc18d037ca6cd53e29dd0e2c5"><code>4663364</code></a> build: rebuild dist for undici 6.28.0</li>
<li><a href="https://github.com/dash0hq/otel-cicd-action/commit/31e4d4b3334b0eb76e7599441ab4475f8931e65b"><code>31e4d4b</code></a> build(deps): bump the npm_and_yarn group across 1 directory with 2 updates</li>
<li><a href="https://github.com/dash0hq/otel-cicd-action/commit/85d7618854e54f909adad504d6233c1dfed19b87"><code>85d7618</code></a> Use Dash0 endpoints in README examples, drop competitor links from website docs</li>
<li><a href="https://github.com/dash0hq/otel-cicd-action/commit/02e43cc25881ba326ebed7bd6b68f737d73c34d3"><code>02e43cc</code></a> chore: drop repository badges from the synced website docs (<a href="https://redirect.github.com/corentinmusard/otel-cicd-action/issues/85">#85</a>)</li>
<li>See full diff in <a href="https://github.com/corentinmusard/otel-cicd-action/compare/6022e68732c1cab4d2c8218b810f69006ee5cc34...4826b79d63662fa91657272e7711420cb6aea543">compare view</a></li>
</ul>
</details>
<br />
Updates `dawidd6/action-download-artifact` from 21 to 26
<details>
<summary>Release notes</summary>
<p><em>Sourced from <a href="https://github.com/dawidd6/action-download-artifact/releases">dawidd6/action-download-artifact's releases</a>.</em></p>
<blockquote>
<h2>v26</h2>
<p><strong>Full Changelog</strong>: <a href="https://github.com/dawidd6/action-download-artifact/compare/v25...v26">https://github.com/dawidd6/action-download-artifact/compare/v25...v26</a></p>
<h2>v25</h2>
<h2>What's Changed</h2>
<ul>
<li>build(deps): bump adm-zip from 0.6.0 to 0.6.1 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/dawidd6/action-download-artifact/pull/427">dawidd6/action-download-artifact#427</a></li>
<li>fix: do not rely on API workflow run ordering by <a href="https://github.com/dawidd6"><code>@dawidd6</code></a> in <a href="https://redirect.github.com/dawidd6/action-download-artifact/pull/429">dawidd6/action-download-artifact#429</a></li>
<li>node_modules: update by <a href="https://github.com/dawidd6"><code>@dawidd6</code></a> in <a href="https://redirect.github.com/dawidd6/action-download-artifact/pull/430">dawidd6/action-download-artifact#430</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/dawidd6/action-download-artifact/compare/v24...v25">https://github.com/dawidd6/action-download-artifact/compare/v24...v25</a></p>
<h2>v24</h2>
<h2>What's Changed</h2>
<ul>
<li>fix: preserve workflow run ordering by <a href="https://github.com/dawidd6"><code>@dawidd6</code></a> in <a href="https://redirect.github.com/dawidd6/action-download-artifact/pull/425">dawidd6/action-download-artifact#425</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/dawidd6/action-download-artifact/compare/v23...v24">https://github.com/dawidd6/action-download-artifact/compare/v23...v24</a></p>
<h2>v23</h2>
<h1>Info</h1>
<p>This release is rather big. Not gonna lie to you, I've used LLMs to get there. I can't vouch for all the changes but CI confirms there <em>should</em> be no regressions. Please report any issues you encounter with this release. You can always revert to previous working one.</p>
<h2>What's Changed</h2>
<ul>
<li>joint fixes and improvements by <a href="https://github.com/dawidd6"><code>@dawidd6</code></a> in <a href="https://redirect.github.com/dawidd6/action-download-artifact/pull/417">dawidd6/action-download-artifact#417</a></li>
<li>build(deps): update brace-expansion by <a href="https://github.com/dawidd6"><code>@dawidd6</code></a> in <a href="https://redirect.github.com/dawidd6/action-download-artifact/pull/418">dawidd6/action-download-artifact#418</a></li>
<li>Harden upload workflow token scope with explicit <code>GITHUB_TOKEN</code> permissions by <a href="https://github.com/dawidd6"><code>@dawidd6</code></a> with <a href="https://github.com/Copilot"><code>@Copilot</code></a> in <a href="https://redirect.github.com/dawidd6/action-download-artifact/pull/419">dawidd6/action-download-artifact#419</a></li>
<li>fix: stream GHES artifact downloads by <a href="https://github.com/dawidd6"><code>@dawidd6</code></a> in <a href="https://redirect.github.com/dawidd6/action-download-artifact/pull/420">dawidd6/action-download-artifact#420</a></li>
<li>chore: simplify action implementation by <a href="https://github.com/dawidd6"><code>@dawidd6</code></a> in <a href="https://redirect.github.com/dawidd6/action-download-artifact/pull/421">dawidd6/action-download-artifact#421</a></li>
<li>chore: remove redundant action code by <a href="https://github.com/dawidd6"><code>@dawidd6</code></a> in <a href="https://redirect.github.com/dawidd6/action-download-artifact/pull/422">dawidd6/action-download-artifact#422</a></li>
<li>chore: simplify artifact filtering by <a href="https://github.com/dawidd6"><code>@dawidd6</code></a> in <a href="https://redirect.github.com/dawidd6/action-download-artifact/pull/423">dawidd6/action-download-artifact#423</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/dawidd6/action-download-artifact/compare/v22...v23">https://github.com/dawidd6/action-download-artifact/compare/v22...v23</a></p>
<h2>v22</h2>
<h2>What's Changed</h2>
<ul>
<li>build(deps): bump fast-xml-builder from 1.1.5 to 1.2.0 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/dawidd6/action-download-artifact/pull/406">dawidd6/action-download-artifact#406</a></li>
<li>build(deps): bump actions/checkout from 6 to 7 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/dawidd6/action-download-artifact/pull/407">dawidd6/action-download-artifact#407</a></li>
<li>build(deps): bump undici from 6.24.0 to 6.27.0 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/dawidd6/action-download-artifact/pull/408">dawidd6/action-download-artifact#408</a></li>
<li>build(deps): bump filesize from 11.0.17 to 11.0.18 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/dawidd6/action-download-artifact/pull/409">dawidd6/action-download-artifact#409</a></li>
<li>build(deps): bump filesize from 11.0.18 to 11.0.19 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/dawidd6/action-download-artifact/pull/410">dawidd6/action-download-artifact#410</a></li>
<li>build(deps): bump adm-zip from 0.5.17 to 0.5.18 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/dawidd6/action-download-artifact/pull/411">dawidd6/action-download-artifact#411</a></li>
<li>build(deps): bump filesize from 11.0.19 to 11.0.22 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/dawidd6/action-download-artifact/pull/412">dawidd6/action-download-artifact#412</a></li>
<li>build(deps): bump adm-zip from 0.5.18 to 0.6.0 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/dawidd6/action-download-artifact/pull/414">dawidd6/action-download-artifact#414</a></li>
<li>build(deps): bump undici from 6.27.0 to 6.28.0 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/dawidd6/action-download-artifact/pull/415">dawidd6/action-download-artifact#415</a></li>
<li>node_modules: update by <a href="https://github.com/dawidd6"><code>@dawidd6</code></a> in <a href="https://redirect.github.com/dawidd6/action-download-artifact/pull/416">dawidd6/action-download-artifact#416</a></li>
<li>Continue downloading after expired artifacts in non-fatal modes by <a href="https://github.com/oiahoon"><code>@oiahoon</code></a> in <a href="https://redirect.github.com/dawidd6/action-download-artifact/pull/413">dawidd6/action-download-artifact#413</a></li>
</ul>
<!-- raw HTML omitted -->
</blockquote>
<p>... (truncated)</p>
</details>
<details>
<summary>Commits</summary>
<ul>
<li><a href="https://github.com/dawidd6/action-download-artifact/commit/27e4ae67c24b67d3b54bc6d6a45475be1e28031b"><code>27e4ae6</code></a> feat: log skipped workflow runs in debug mode</li>
<li><a href="https://github.com/dawidd6/action-download-artifact/commit/634d83b91986fcec9be314054943fa5c976aeb0e"><code>634d83b</code></a> workflows: update</li>
<li><a href="https://github.com/dawidd6/action-download-artifact/commit/0b3820ab34dda332f5ce51f632602d4cea4a3ada"><code>0b3820a</code></a> node_modules: update (<a href="https://redirect.github.com/dawidd6/action-download-artifact/issues/430">#430</a>)</li>
<li><a href="https://github.com/dawidd6/action-download-artifact/commit/398d90b6fcbd390a63fdade499e21396353770de"><code>398d90b</code></a> fix: do not rely on API workflow run ordering (<a href="https://redirect.github.com/dawidd6/action-download-artifact/issues/429">#429</a>)</li>
<li><a href="https://github.com/dawidd6/action-download-artifact/commit/b9a309ffcdf94fe3a85fbe43154a2d98e260c1f8"><code>b9a309f</code></a> build(deps): bump adm-zip from 0.6.0 to 0.6.1 (<a href="https://redirect.github.com/dawidd6/action-download-artifact/issues/427">#427</a>)</li>
<li><a href="https://github.com/dawidd6/action-download-artifact/commit/d63b86af1b34672e53c440b1b83979861906bad7"><code>d63b86a</code></a> fix: preserve workflow run ordering (<a href="https://redirect.github.com/dawidd6/action-download-artifact/issues/425">#425</a>)</li>
<li><a href="https://github.com/dawidd6/action-download-artifact/commit/57aa996fc1713cc1579039614f4645a7f4841fd4"><code>57aa996</code></a> chore: simplify artifact filtering (<a href="https://redirect.github.com/dawidd6/action-download-artifact/issues/423">#423</a>)</li>
<li><a href="https://github.com/dawidd6/action-download-artifact/commit/7325d4694298cd63b2f5a28900f2e4c8dab127a0"><code>7325d46</code></a> chore: remove redundant action code (<a href="https://redirect.github.com/dawidd6/action-download-artifact/issues/422">#422</a>)</li>
<li><a href="https://github.com/dawidd6/action-download-artifact/commit/fdd98d5df412e1b2e66b544b4db823ae8046b226"><code>fdd98d5</code></a> chore: simplify action implementation (<a href="https://redirect.github.com/dawidd6/action-download-artifact/issues/421">#421</a>)</li>
<li><a href="https://github.com/dawidd6/action-download-artifact/commit/2156211c9c4919f6f7da650308a4fc3b9f44d772"><code>2156211</code></a> fix: stream GHES artifact downloads (<a href="https://redirect.github.com/dawidd6/action-download-artifact/issues/420">#420</a>)</li>
<li>Additional commits viewable in <a href="https://github.com/dawidd6/action-download-artifact/compare/b6e2e70617bc3265edd6dab6c906732b2f1ae151...27e4ae67c24b67d3b54bc6d6a45475be1e28031b">compare view</a></li>
</ul>
</details>
<br />
Updates `softprops/action-gh-release` from 3.0.2 to 3.0.3
<details>
<summary>Release notes</summary>
<p><em>Sourced from <a href="https://github.com/softprops/action-gh-release/releases">softprops/action-gh-release's releases</a>.</em></p>
<blockquote>
<h2>v3.0.3</h2>
<p><code>3.0.3</code> is a maintenance release with updated dependencies. It also safely
classifies malformed GitHub API errors to avoid secondary failures (<a href="https://redirect.github.com/softprops/action-gh-release/issues/822">#822</a>).</p>
<h2>What's Changed</h2>
<h3>Bug fixes 🐛</h3>
<ul>
<li>fix: safely classify GitHub API errors by <a href="https://github.com/chenrui333"><code>@chenrui333</code></a> in <a href="https://redirect.github.com/softprops/action-gh-release/pull/822">softprops/action-gh-release#822</a></li>
</ul>
<h3>Other Changes 🔄</h3>
<ul>
<li>dependency updates</li>
</ul>
</blockquote>
</details>
<details>
<summary>Changelog</summary>
<p><em>Sourced from <a href="https://github.com/softprops/action-gh-release/blob/master/CHANGELOG.md">softprops/action-gh-release's changelog</a>.</em></p>
<blockquote>
<h2>3.0.3</h2>
<p><code>3.0.3</code> is a maintenance release with updated dependencies. It also safely
classifies malformed GitHub API errors to avoid secondary failures (<a href="https://redirect.github.com/softprops/action-gh-release/issues/822">#822</a>).</p>
<h2>What's Changed</h2>
<h3>Bug fixes 🐛</h3>
<ul>
<li>fix: safely classify GitHub API errors by <a href="https://github.com/chenrui333"><code>@chenrui333</code></a> in <a href="https://redirect.github.com/softprops/action-gh-release/pull/822">softprops/action-gh-release#822</a></li>
</ul>
<h3>Other Changes 🔄</h3>
<ul>
<li>dependency updates</li>
</ul>
<h2>3.0.2</h2>
<p><code>3.0.2</code> is a patch release focused on release reliability and compatibility. It
reuses existing draft releases when publishing prereleases, supports replacing
release assets on Gitea, hardens streamed asset uploads, and provides clearer
release-creation diagnostics. It also includes TypeScript, coverage, and tooling
maintenance merged since <code>3.0.1</code>.</p>
<p>This release fixes <a href="https://redirect.github.com/softprops/action-gh-release/issues/795">#795</a>, <a href="https://redirect.github.com/softprops/action-gh-release/issues/438">#438</a>, and <a href="https://redirect.github.com/softprops/action-gh-release/issues/803">#803</a>. The upload transport hardening covers the
historical failure reported in <a href="https://redirect.github.com/softprops/action-gh-release/issues/790">#790</a>, although current hosted Node 24 runners did
not reproduce it naturally. The diagnostics work is related to <a href="https://redirect.github.com/softprops/action-gh-release/issues/786">#786</a> and does not
claim a reproducible release-creation fix.</p>
<h2>What's Changed</h2>
<h3>Exciting New Features 🎉</h3>
<ul>
<li>feat: improve release error reporting and test coverage by <a href="https://github.com/chenrui333"><code>@chenrui333</code></a> in <a href="https://redirect.github.com/softprops/action-gh-release/pull/813">softprops/action-gh-release#813</a></li>
</ul>
<h3>Bug fixes 🐛</h3>
<ul>
<li>fix: publish existing draft releases as prereleases by <a href="https://github.com/godfengliang"><code>@godfengliang</code></a> in <a href="https://redirect.github.com/softprops/action-gh-release/pull/801">softprops/action-gh-release#801</a></li>
<li>fix: upload small checksum assets reliably by <a href="https://github.com/chenrui333"><code>@chenrui333</code></a> in <a href="https://redirect.github.com/softprops/action-gh-release/pull/815">softprops/action-gh-release#815</a></li>
<li>fix: replace existing release assets on Gitea by <a href="https://github.com/chenrui333"><code>@chenrui333</code></a> in <a href="https://redirect.github.com/softprops/action-gh-release/pull/816">softprops/action-gh-release#816</a></li>
<li>fix: clarify release creation 404 errors by <a href="https://github.com/chenrui333"><code>@chenrui333</code></a> in <a href="https://redirect.github.com/softprops/action-gh-release/pull/817">softprops/action-gh-release#817</a></li>
</ul>
<h3>Other Changes 🔄</h3>
<ul>
<li>chore(deps): upgrade TypeScript to 7 by <a href="https://github.com/chenrui333"><code>@chenrui333</code></a> in <a href="https://redirect.github.com/softprops/action-gh-release/pull/812">softprops/action-gh-release#812</a></li>
<li>chore(deps): remove unused TypeScript tooling by <a href="https://github.com/chenrui333"><code>@chenrui333</code></a> in <a href="https://redirect.github.com/softprops/action-gh-release/pull/814">softprops/action-gh-release#814</a></li>
<li>dependency, Node 24 pin, and CI maintenance merged since <code>3.0.1</code></li>
</ul>
<h2>3.0.1</h2>
<ul>
<li>maintenance release with updated dependencies</li>
</ul>
<!-- raw HTML omitted -->
</blockquote>
<p>... (truncated)</p>
</details>
<details>
<summary>Commits</summary>
<ul>
<li><a href="https://github.com/softprops/action-gh-release/commit/efb35369e0ad2afab669f228072c1b0d510eae64"><code>efb3536</code></a> release 3.0.3 (<a href="https://redirect.github.com/softprops/action-gh-release/issues/840">#840</a>)</li>
<li><a href="https://github.com/softprops/action-gh-release/commit/6441963a7597ab67f36fea0287a7ae58a9bfd8fe"><code>6441963</code></a> chore(deps): bump the npm group with 2 updates (<a href="https://redirect.github.com/softprops/action-gh-release/issues/839">#839</a>)</li>
<li><a href="https://github.com/softprops/action-gh-release/commit/e5ee6bc58a36b838b92fc1217f2e4b414b5abcc8"><code>e5ee6bc</code></a> chore(deps): bump esbuild from 0.28.1 to 0.28.2 in the npm group (<a href="https://redirect.github.com/softprops/action-gh-release/issues/837">#837</a>)</li>
<li><a href="https://github.com/softprops/action-gh-release/commit/d1e66170d32c9ec7bbcb7fae044d3d686ce304d3"><code>d1e6617</code></a> chore(deps): bump undici from 6.27.0 to 6.28.0 (<a href="https://redirect.github.com/softprops/action-gh-release/issues/831">#831</a>)</li>
<li><a href="https://github.com/softprops/action-gh-release/commit/64037519ba20f54c01bc1dc90342c929aac5a2fa"><code>6403751</code></a> chore(deps): bump the npm group with 2 updates (<a href="https://redirect.github.com/softprops/action-gh-release/issues/835">#835</a>)</li>
<li><a href="https://github.com/softprops/action-gh-release/commit/7c7184b6876126a5df15adc5b679dc450a393725"><code>7c7184b</code></a> chore(deps): bump postcss from 8.5.19 to 8.5.25 (<a href="https://redirect.github.com/softprops/action-gh-release/issues/833">#833</a>)</li>
<li><a href="https://github.com/softprops/action-gh-release/commit/0f3f0d2943676d58f9698b3ab590c2056023d77d"><code>0f3f0d2</code></a> chore(deps): bump brace-expansion from 5.0.8 to 5.0.9 (<a href="https://redirect.github.com/softprops/action-gh-release/issues/832">#832</a>)</li>
<li><a href="https://github.com/softprops/action-gh-release/commit/77fb938f2f95e717ce6705d2909af527263360a0"><code>77fb938</code></a> chore(deps): bump prettier from 3.9.5 to 3.9.6 in the npm group (<a href="https://redirect.github.com/softprops/action-gh-release/issues/830">#830</a>)</li>
<li><a href="https://github.com/softprops/action-gh-release/commit/5a6f51711ce2ba103b78f5e9550f810679f11e0e"><code>5a6f517</code></a> chore(deps): bump brace-expansion from 5.0.7 to 5.0.8 (<a href="https://redirect.github.com/softprops/action-gh-release/issues/828">#828</a>)</li>
<li><a href="https://github.com/softprops/action-gh-release/commit/a3c91c98f80000f5b06c7fc0327c54f51c6ab7d8"><code>a3c91c9</code></a> chore(deps): bump the github-actions group with 2 updates (<a href="https://redirect.github.com/softprops/action-gh-release/issues/825">#825</a>)</li>
<li>Additional commits viewable in <a href="https://github.com/softprops/action-gh-release/compare/3d0d9888cb7fd7b750713d6e236d1fcb99157228...efb35369e0ad2afab669f228072c1b0d510eae64">compare view</a></li>
</ul>
</details>
<br />
|
dependencies
github_actions
CI
|
24/24 |
.github/workflows/actionlint.yml,.github/workflows/add_label_from_diff.yaml,.github/workflows/build_template.yml,.github/workflows/cache_test.yml,.github/workflows/check_pr_titles.yaml,.github/workflows/daily.yml,.github/workflows/docker_build.yml,.github/workflows/export_crossrefs.yml,.github/workflows/export_telemetry.yaml,.github/workflows/latest_import.yml,.github/workflows/maintainer_bors_wf_run.yml,.github/workflows/maintainer_merge_wf_run.yml,.github/workflows/nightly_merge_master.yml,.github/workflows/nolints.yml,.github/workflows/release.yml,.github/workflows/remove_deprecated_decls.yml,.github/workflows/rm_set_option.yml,.github/workflows/shake.yaml,.github/workflows/update_dependencies.yml,.github/workflows/weekly-lints.yml |
20 |
1 |
['github-actions'] |
nobody |
0-28983 8 hours ago |
2-2039 2 days ago |
2-1760 2 days |
0 |
| 44386 |
mathlib-update-dependencies author:mathlib-update-dependencies |
chore: update Mathlib dependencies 2026-10-01 |
This PR updates the Mathlib dependencies.
It is not merged automatically: a maintainer should look at what the new
dependency revisions bring in before sending it to bors.
---
[workflow run for this PR](https://github.com/leanprover-community/mathlib4/actions/runs/36866288465) |
dependency-bump |
1/1 |
lake-manifest.json |
1 |
1 |
['github-actions'] |
nobody |
0-28518 7 hours ago |
0-32200 8 hours ago |
0-31921 8 hours |
0 |
| 44061 |
teorth author:teorth |
feat(NumberTheory/Mertens): abstract theory of Mertens weights |
This is the first of a three-PR stack splitting the Mertens theorems
development (#41394) into pieces under 500 LoC each.
It introduces `Mathlib/NumberTheory/Mertens/Weight.lean`: the abstract theory
of *Mertens weights* — the `Mertens.Weight` structure and the basic estimates
attached to it (the `E₁`/`E₂` error bounds, `sum_sub_log_*`, `M_bounds`,
`sum_div_log_*`, …). No concrete weight is constructed here; this will be done in #44062.
---
The code was human-generated, but reviewed by AI.
- [x] depends on: #41120
- [x] depends on: #43471
[](https://gitpod.io/from-referrer/)
|
t-number-theory |
502/0 |
Mathlib.lean,Mathlib/NumberTheory/Mertens/Weight.lean |
2 |
10 |
['amellendijk', 'github-actions', 'loefflerd', 'mathlib-dependent-issues', 'xroblot'] |
nobody |
0-28466 7 hours ago |
0-29262 8 hours ago |
8-69477 8 days |
2 |
| 43438 |
raoxiaojia author:raoxiaojia |
feat(Tactic/Echelon): add per-model entry certifiers and switched to a reflection-based certificate |
This PR makes the certificate construction of the echelon tactic parametric over an entry certifier that can be defined per computation model (similar to previous selection over producer models), and adds a `norm_num` certifier for the fallback rational model, which closes inputs with rational literals in noncomputable rings such as `ℝ` or `ℂ`. The proof terms are migrated to use the reflection based certificates as well which is much more efficient and leaves room for future optimisation using packed matrix multiplication.
---
<!-- Your PR title will become the first line of the commit message.
In this box, the text above the `---` (if not empty) will be appended
to the commit message, and can be used to give additional context or
details. Please leave a blank newline before the `---`, otherwise GitHub
will format the text above it as a title.
For details on the "pull request lifecycle" in mathlib, please see:
https://leanprover-community.github.io/contribute/index.html
In particular, note that most reviewers will only notice your PR
if it passes the continuous integration checks.
Please ask for help on https://leanprover.zulipchat.com if needed.
When merging, all the commits will be squashed into a single commit
listing all co-authors.
Co-authors in the squash commit are gathered from two sources:
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[](https://gitpod.io/from-referrer/)
|
t-meta
new-contributor
|
415/133 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Echelon/Bareiss.lean,Mathlib/Tactic/Echelon/Cert.lean,Mathlib/Tactic/Echelon/Core.lean,Mathlib/Tactic/Echelon/Rat.lean,Mathlib/Tactic/Echelon/Reflection.lean,Mathlib/Tactic/NormRank.lean,Mathlib/Util/Qq.lean,MathlibTest/EvalRank.lean |
10 |
14 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'raoxiaojia'] |
nobody |
0-27659 7 hours ago |
0-30857 8 hours ago |
5-31592 5 days |
1 |
| 42607 |
tb65536 author:tb65536 |
feat(Analysis/Normed/Algebra/GelfandRadius): define the Gelfand radius as `lim ‖a ^ k‖ ^ (1 / k)` |
This PR defines the Gelfand radius as `lim ‖a ^ k‖ ^ (1 / k)` and proves some basic properties include subadditivity and submultiplicativity.
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|
t-analysis |
215/1 |
Mathlib.lean,Mathlib/Analysis/Normed/Algebra/GelfandFormula.lean,Mathlib/Analysis/Normed/Algebra/GelfandRadius.lean |
3 |
5 |
['ADedecker', 'github-actions', 'j-loreaux', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'tb65536'] |
nobody |
0-27586 7 hours ago |
1-47202 1 day ago |
1-47678 1 day |
1 |
| 43695 |
gasparattila author:gasparattila |
feat(Topology/Algebra): define a topology on `Homogenization` |
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|
t-topology |
377/0 |
Mathlib.lean,Mathlib/Topology/Algebra/Homogenization.lean |
2 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
0-26377 7 hours ago |
1-7152 1 day ago |
1-6958 1 day |
0 |
| 44360 |
justus-springer author:justus-springer |
feat(LinearAlgebra/Dimension/DivisionRing): add `finrank_span_eq_finrank_iff` |
This is a criterion for the reverse inequality of `finrank_span_le_finrank` in terms of linearly independent subsets. This criterion will be used in the upcoming lattice refactor, see the [zulip discussion](https://leanprover.zulipchat.com/#narrow/channel/116395-maths/topic/Definitions.20of.20lattices/with/620086310).
As was already noted in the docstring, we also have `Submodule.finrank_span_eq_finrank` which works in a different setting and I don't think one can be deduced from the other. I've moved the docstring note to the new equality lemma.
Co-authored-by: Anouk Brose <aebrose@ucdavis.edu>
- [x] depends on: #44359
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|
t-algebra label:t-algebra$ |
60/8 |
Mathlib/LinearAlgebra/Dimension/DivisionRing.lean |
1 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
0-25746 7 hours ago |
1-8319 1 day ago |
1-8914 1 day |
1 |
| 43545 |
gasparattila author:gasparattila |
refactor(Algebra/Order/Ring/Idempotent): introduce bundled types |
This file currently has several instances defined for specific subtypes. This PR replaces these with bundled structures. This also fixes possible typeclass diamonds when the order defined here conflicts with the general one on subtypes.
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|
t-ring-theory |
242/111 |
Mathlib/Algebra/Order/Ring/Idempotent.lean,Mathlib/RingTheory/Spectrum/Prime/Topology.lean |
2 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
0-24854 6 hours ago |
0-25948 7 hours ago |
24-18067 24 days |
1 |
| 44392 |
yhx-12243 author:yhx-12243 |
fix(Algebra/Polynomial/Roots): fix tendstoCofinite with normal generic universe |
Remove the extraneous accidentally {R : Type} [CommRing R] [IsDomain R] in the signature of `Polynomial.tendstoCofinite_of_natDegree_ne_zero`, make it generic. |
t-algebra
new-contributor
label:t-algebra$ |
2/2 |
Mathlib/Algebra/Polynomial/Roots.lean |
1 |
3 |
['github-actions'] |
nobody |
0-24036 6 hours ago |
0-25563 7 hours ago |
0-25284 7 hours |
0 |
| 44082 |
j-loreaux author:j-loreaux |
chore: correct instances for normed rings on subrings |
We were missing several instances of `NonUnital{Semi}Normed{Comm}Ring` on `NonUnitalSubring`s, where we had them only for `NonUnitalSubalgebra`. This PR corrects this oversight, and does a bit more organization (e.g., placing the `Class` versions down by their unital counterparts, and marking the latter with lower priority; adding `fast_instance%` to all touched declarations).
`fast_instance%` is missing for many other declarations in this file, but they can be added in a follow-up PR.
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|
tech debt
t-analysis
maintainer-merge
|
89/58 |
Mathlib/Analysis/Normed/Ring/Basic.lean |
1 |
9 |
['github-actions', 'j-loreaux', 'leanprover-radar', 'themathqueen'] |
nobody |
0-23847 6 hours ago |
9-11645 9 days ago |
9-15990 9 days |
1 |
| 42919 |
tb65536 author:tb65536 |
feat(NumberTheory/RamificationInertia/Unramified): generalize `IsUnramifiedAt.of_liesOver` to flat algebras |
This PR generalizes `IsUnramifiedAt.of_liesOver` to flat algebras and deprecates the technical auxiliary lemma `IsUnramifiedAt.of_liesOver_of_ne_bot` for the previous proof.
This also avoids the usage of the old `Ideal.ramificationIdx'` in the proof of `IsUnramifiedAt.of_liesOver_of_ne_bot`.
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|
t-ring-theory
t-algebra
label:t-algebra$ |
24/6 |
Mathlib/NumberTheory/RamificationInertia/Unramified.lean,Mathlib/RingTheory/Flat/FaithfullyFlat/Algebra.lean,Mathlib/RingTheory/Ideal/GoingDown.lean,Mathlib/RingTheory/Unramified/LocalRing.lean |
4 |
1 |
['github-actions'] |
nobody |
0-23019 6 hours ago |
44-2123 44 days ago |
44-1846 44 days |
0 |
| 44190 |
joelriou author:joelriou |
feat(Algebra/Homology): more API for Ext in linear categories |
If `C` is a `R`-linear category, we define the $$Ext^n$$ bifunctor `Cᵒᵖ ⥤ C ⥤ ModuleCat R` and provide suitable API in order to relate the scalar multiplication on `Ext`-groups and the constructors involving a projective resolution or an injective resolution.
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|
tech debt
t-category-theory
large-import
|
327/19 |
Mathlib/Algebra/Homology/DerivedCategory/Ext/Linear.lean,Mathlib/Algebra/Homology/HomotopyCategory/HomComplex.lean,Mathlib/Algebra/Homology/HomotopyCategory/HomComplexCohomology.lean,Mathlib/Algebra/Homology/HomotopyCategory/HomComplexShift.lean,Mathlib/Algebra/Homology/HomotopyCategory/HomComplexSingle.lean,Mathlib/Algebra/Homology/ShortComplex/HomologicalComplex.lean,Mathlib/CategoryTheory/Abelian/Injective/Ext.lean,Mathlib/CategoryTheory/Abelian/Projective/Ext.lean |
8 |
7 |
['Whysoserioushah', 'github-actions', 'joelriou'] |
nobody |
0-19873 5 hours ago |
6-14896 6 days ago |
6-16812 6 days |
1 |
| 42704 |
gasparattila author:gasparattila |
refactor(Data/FunLike): make the arguments of `Is*Apply` implicit |
Since `IsAddApply F α β` and similar classes have `[FunLike F α β]` as an assumption, `α` and `β` can always be inferred from `F`, so they can be made implicit.
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|
t-data |
220/220 |
Mathlib/Algebra/BigOperators/Pi.lean,Mathlib/Algebra/Group/FunLike.lean,Mathlib/Algebra/Group/IsApply.lean,Mathlib/Algebra/Lie/Basic.lean,Mathlib/Algebra/Lie/Weights/Basic.lean,Mathlib/Algebra/Module/FunLike.lean,Mathlib/Algebra/Order/Group/End.lean,Mathlib/Algebra/Order/Module/PositiveLinearMap.lean,Mathlib/Algebra/Ring/FunLike.lean,Mathlib/Analysis/BoxIntegral/Partition/Additive.lean,Mathlib/Analysis/Distribution/ContDiffMapSupportedIn.lean,Mathlib/Analysis/Distribution/SchwartzSpace/Basic.lean,Mathlib/Analysis/Distribution/TestFunction.lean,Mathlib/Analysis/Normed/Group/Seminorm.lean,Mathlib/Analysis/Normed/Module/Seminorm/Basic.lean,Mathlib/Geometry/Convex/AffineMap/Module.lean,Mathlib/LinearAlgebra/Multilinear/Basic.lean,Mathlib/LinearAlgebra/QuadraticForm/Basic.lean,Mathlib/MeasureTheory/OuterMeasure/Operations.lean,Mathlib/MeasureTheory/VectorMeasure/Basic.lean,Mathlib/NumberTheory/ModularForms/Basic.lean,Mathlib/NumberTheory/ModularForms/NormTrace.lean,Mathlib/NumberTheory/ModularForms/SlashInvariantForms.lean,Mathlib/NumberTheory/Padics/Measure/Basic.lean,Mathlib/Probability/Kernel/Defs.lean,Mathlib/RingTheory/Derivation/Basic.lean,Mathlib/Topology/Algebra/InfiniteSum/ContinuousEval.lean,Mathlib/Topology/Algebra/Module/ContinuousLinearMap/Basic.lean,Mathlib/Topology/Algebra/Module/ContinuousLinearMap/Positive.lean,Mathlib/Topology/Algebra/Module/Multilinear/Basic.lean,Mathlib/Topology/Algebra/Module/Spaces/UniformConvergenceCLM.lean |
31 |
5 |
['gasparattila', 'github-actions', 'mathlib-merge-conflicts'] |
joneugster assignee:joneugster |
0-19753 5 hours ago |
0-21784 5 hours ago |
45-7289 45 days |
0 |
| 43916 |
qawbecrdtey author:qawbecrdtey |
feat(Data/Finsupp/Weight): add `degree_strictMono` |
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listing all co-authors.
Co-authors in the squash commit are gathered from two sources:
First, all authors of commits to this PR branch are included. Thus,
one way to add co-authors is to include at least one commit authored by
each co-author among the commits in the pull request. If necessary, you
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[](https://gitpod.io/from-referrer/)
```lean
lemma degree_strictMono {R : Type*}
[AddCommMonoid R] [PartialOrder R] [CanonicallyOrderedAdd R] [AddRightStrictMono R] :
StrictMono (Finsupp.degree (σ := σ) (R := R))
``` |
t-data |
12/0 |
Mathlib/Data/Finsupp/Weight.lean |
1 |
3 |
['Ruben-VandeVelde', 'github-actions', 'qawbecrdtey'] |
nobody |
0-18859 5 hours ago |
13-59704 13 days ago |
13-59425 13 days |
1 |
| 42182 |
gasparattila author:gasparattila |
feat(Order/Partition): converting a `Finpartition` into a `Partition` |
---
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[](https://gitpod.io/from-referrer/)
|
t-order
large-import
|
60/2 |
Mathlib/Order/Partition/Basic.lean,Mathlib/Order/Partition/Finpartition.lean,Mathlib/Order/SupIndep.lean |
3 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
0-18726 5 hours ago |
0-21394 5 hours ago |
61-80069 61 days |
0 |
| 43001 |
EtienneC30 author:EtienneC30 |
feat: lemmas about MemLp |
A function is in the `Lp` space of the sum of two measures if and only if it is in each `Lp` space.
A function is in the `Lp` space of a Dirac mass.
---
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[](https://gitpod.io/from-referrer/)
|
large-import
t-measure-probability
|
73/1 |
Mathlib/MeasureTheory/Function/EssSup.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Basic.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Defs.lean,Mathlib/Order/LiminfLimsup.lean |
4 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
urkud assignee:urkud |
0-17958 4 hours ago |
0-19464 5 hours ago |
13-70366 13 days |
1 |
| 44393 |
grunweg author:grunweg |
chore: downgrade a few functions from IO to BaseIO |
This makes these functions slightly faster, as the BaseIO monad is entirely removed by the compiler. In contrast, IO can throw/catch errors, which means extra work at runtime (even though we don't actually throw or catch any errors in the code).
Continuation of #44377, though probably not performance-sensitive.
---
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|
easy
t-meta
maintainer-merge
|
18/18 |
Cache/Cli.lean,Cache/Env.lean,Cache/IO.lean,Cache/Infra.lean,Cache/Lean.lean,Cache/Marker.lean,Cache/Requests.lean,Mathlib/Tactic/CategoryTheory/Reassoc.lean,Mathlib/Tactic/Linter/UnusedTactic.lean,Mathlib/Tactic/Translate/Attributes.lean,Mathlib/Util/SleepHeartbeats.lean |
11 |
3 |
['JovanGerb', 'github-actions'] |
nobody |
0-17637 4 hours ago |
0-23376 6 hours ago |
0-23097 6 hours |
0 |
| 43409 |
gasparattila author:gasparattila |
doc: expand the documentation on `SMul ℕ` defeq issues |
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
20/1 |
Mathlib/Algebra/Group/Monoid.lean |
1 |
3 |
['Vierkantor', 'gasparattila', 'github-actions'] |
nobody |
0-13332 3 hours ago |
28-21045 28 days ago |
28-20766 28 days |
0 |
| 44301 |
marcelolynch author:marcelolynch |
ci: cache the MathlibTest oleans on R2 |
The `test mathlib` step in `Test and lint` builds all 416 MathlibTest files on every run. The cache tool accepts MathlibTest oleans, but CI does not stage or upload them, so the cache holds none.
This PR caches them on R2:
1. When `test` runs, `Test and lint` first fetches the MathlibTest oleans that the cache holds, with `cache get 'MathlibTest.+'`. `test` then rebuilds only the other test files.
2. After `test`, `Test and lint` stages the MathlibTest oleans that `test` built into the artifact `cache-staging-test`. Only runs that write the `master` container (`master`, `staging`, and `v4.*` tags) stage them. A test file that fails leaves no build output, so `stage` skips it.
3. A new job, `upload_test_cache`, uploads that artifact to the public R2 bucket, where `upload_cache` writes the `master` container. It uses the environment and permissions of `upload_cache`, and repeats its setup steps through YAML aliases. It uploads only when its own trust dispatch also selects the `master` container.
Other runs read the test files from `master` and upload none, because they read their own container only at their own commit.
The fetch, stage, and upload steps are `continue-on-error`, and so is the `upload_test_cache` job. A failed fetch or upload only makes `test` rebuild more files. No other job needs `upload_test_cache`, and bors does not wait for it.
`Test and lint` runs the PR's code, so it gets no upload credentials. The new steps call the `cache` binary as the build job does, with the trusted toolchain first on `PATH`. The PR's code can write to `pr-branch/.lake/` before both steps, so the fetch and stage steps run in landrun. The fetch uses the sandbox of `get-cache`. A check step fails `Test and lint` if the staging directory holds anything but regular files.
The staged set also holds the 11 ProofWidgets modules that some tests import. No other cache step stages them.
---
Local checks: the staged set is 427 files, 8.5 MB. `cache get 'MathlibTest.+'` restored all 427 files in 10 s, and `lake test` then built no file. After a change to one test file, `lake test` rebuilt that file only. For a test file that fails to elaborate, `stage` packed nothing. These checks do not run the landrun step, and the change has not run on a `ci-dev` branch yet. A PR from a fork runs master's workflow files, so this PR's own CI does not exercise the change.
A replay of 300 master commits against the import graph estimates the effect. A typical commit changes the inputs of 51 of the 416 test files. With the timings from before the v4.35.0-rc2 regression, the estimated median of the step goes from 92 s to about 37 s (p90 74 s). The 34 test files that import all of Mathlib rebuild on every commit, and `Tactic.Grind.Lint` sets that floor.
🤖 Generated with [Claude Code](https://claude.com/claude-code)
|
CI |
145/26 |
.github/actions/cache-trust-dispatch/action.yml,.github/workflows/bors.yml,.github/workflows/build.yml,.github/workflows/build_template.yml |
4 |
7 |
['bryangingechen', 'github-actions', 'marcelolynch'] |
nobody |
0-12890 3 hours ago |
0-36112 9 hours ago |
0-59876 16 hours |
0 |
| 42588 |
sharky564 author:sharky564 |
fix(Tactic/Linarith): attribute `linarith?` suggestions to the correct hypotheses |
`runLinarith` returned indices into the post-preprocessing fact list, but `linarithUsedHyps` applies them to the pre-preprocessing hypothesis list, so `linarith?` could suggest the wrong hypotheses or fail outright. Fixed this by tagging each fact with the indices of the original hypotheses it was derived from (`TaggedProof`), threaded through all preprocessors.
---
This addresses and closes the issue raised in #41471.
This was broken because the old code passed indices of a list around, without updating when the list was modified by preprocessor dropped, split or synthesised facts. No index-fix could recover this, besides just carrying through the index. Keeping the `Origin` a set rather than a single index is necessary since preprocessors can combine hypotheses. However this does mean the preprocessors no longer act on `Expr`s but rather `TaggedProof`s - I'm not the greatest fan of this, but I couldn't come up with an easy solution that preserved this behaviour. I've also provided additional tests which highlight the issues that would've previously arisen.
AI disclosure:
I did have AI assistance (Claude Opus/Fable) with this, but this was for me to learn more Lean syntax not typically seen in writing proofs. The diagnosis and idea for the solution was mine, and debugging and documentation was with AI assistance.
[](https://gitpod.io/from-referrer/)
|
t-meta |
366/187 |
Mathlib/Tactic/Linarith/Datatypes.lean,Mathlib/Tactic/Linarith/Frontend.lean,Mathlib/Tactic/Linarith/NNRealPreprocessor.lean,Mathlib/Tactic/Linarith/Preprocessing.lean,MathlibTest/Tactic/Linarith/Basic.lean,MathlibTest/Tactic/Linarith/NNReal.lean |
6 |
11 |
['github-actions', 'kbuzzard', 'leanprover-radar', 'mathlib-merge-conflicts', 'sharky564'] |
joneugster assignee:joneugster |
0-12646 3 hours ago |
0-19550 5 hours ago |
44-71441 44 days |
0 |
| 44384 |
grunweg author:grunweg |
fix(Tactic/Translate/Reorder): remove duplicate instance |
ToString already has instances for ToFormat, and thus ToMessageData; the current instance duplicates this, is defeq to it (but not at implicit transparency, thus causing an instance diamond).
Found by the linter in #38781.
Co-authored-by: Jovan Gerbscheid <jovan.gerbscheid@gmail.com>
---
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|
easy
t-meta
tech debt
|
0/1 |
Mathlib/Tactic/Translate/Reorder.lean |
1 |
1 |
['github-actions'] |
nobody |
0-12389 3 hours ago |
0-34803 9 hours ago |
0-34524 9 hours |
0 |
| 44383 |
grunweg author:grunweg |
chore(Data/Ineq): remove duplicate instance |
There is already a ToFormat instance from ToString, which this instance is identical to. However, the instances are not defeq at implicit transparency, causing an instance diamond. Found by the linter in #38781.
Co-authored-by: Jovan Gerbscheid <jovan.gerbscheid@gmail.com>
---
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|
easy
t-meta
t-data
tech debt
|
0/2 |
Mathlib/Data/Ineq.lean |
1 |
1 |
['github-actions'] |
nobody |
0-12376 3 hours ago |
0-34348 9 hours ago |
0-34142 9 hours |
0 |
| 38587 |
dagurtomas author:dagurtomas |
feat(Tactic/CategoryTheory): concrete category boilerplate |
Adds `mk_concrete_category`, a command for generating the initial boilerplate for concrete categories whose morphisms are given by a bundled function type.
The command creates the wrapper `Hom` type, named category and concrete category instances, `ofHom`, `Hom.hom`, and the basic dsimp lemmas.
It handles parameterized categories such as `ModuleCat`, and has a paired additive/multiplicative form for generating both structures at once (e.g. `MonCat`/`AddMonCat`).
Includes test categories checking the generated declarations.
[](https://gitpod.io/from-referrer/)
|
LLM-generated
t-meta
t-category-theory
|
1031/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/CategoryTheory/MkConcreteCategory.lean,MathlibTest/CategoryTheory/MkConcreteCategory.lean |
4 |
18 |
['Vierkantor', 'dagurtomas', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts'] |
Vierkantor assignee:Vierkantor |
0-12261 3 hours ago |
0-12261 3 hours ago |
146-58112 146 days |
1 |
| 41892 |
Ljon4ik4 author:Ljon4ik4 |
feat: mapOfCompatibleSMul is the same map independently of S |
The `mapOfCompatibleSMul : M ⊗[A] N →ₗ[S] M ⊗[R] N` is the same map independently of `S`. This PR adds two lemmas asserting that (one for the underlying AddHom, one for the kernels).
I am not quite sure whether the second one is in the optimal shape: It was the shape useful to me, but maybe there is some better way to phrase it or it should be omitted completely (since it follows from the first one...).
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
18/1 |
Mathlib/LinearAlgebra/TensorProduct/Basic.lean |
1 |
19 |
['Ljon4ik4', 'Ruben-VandeVelde', 'github-actions', 'mathlib-merge-conflicts', 'themathqueen'] |
nobody |
0-12126 3 hours ago |
0-13889 3 hours ago |
72-72588 72 days |
0 |
| 44396 |
mathlib-splicebot author:mathlib-splicebot |
chore(Analysis/Complex/UnitDisc/Basic): fix instance diamond |
There were two natural number power instances which differed at implicit transparency.
The `NatPowAssoc` instance is not necessary, hence can be removed.
Found by the linter in #38781.
Co-authored-by: Jovan Gerbscheid <jovan.gerbscheid@gmail.com>
-------- |
tech debt
t-analysis
|
11/16 |
Mathlib/Analysis/Complex/UnitDisc/Basic.lean |
1 |
3 |
['github-actions', 'grunweg', 'leanprover-radar'] |
nobody |
0-10120 2 hours ago |
0-11816 3 hours ago |
0-11801 3 hours |
0 |
| 44362 |
wwylele author:wwylele |
feat(Algebra/BigOperators): prod/sum of Function.extend |
This generalizes the existing `Finset.prod_eq_prod_extend` from `Subtype.val` to an arbitrary function. I flipped the direction to make RHS the simpler form.
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|
t-algebra label:t-algebra$ |
28/4 |
Mathlib/Algebra/BigOperators/Group/Finset/Basic.lean |
1 |
12 |
['github-actions', 'themathqueen', 'wwylele'] |
nobody |
0-9953 2 hours ago |
0-18475 5 hours ago |
1-19633 1 day |
2 |
| 44139 |
Nicola9Falciola author:Nicola9Falciola |
refactor(LinearAlgebra/Matrix/Transvection): generalize the pivot elimination step to commutative rings |
---
The elimination steps in the pivot algorithm in `Matrix.Pivot` reduce to a diagonal
block the last row of a matrix using transvections only need the last diagonal
coefficient to be a unit over the base ring not that the ring itself is field.
This PR generalizes this step to work over a commutative ring `R`
instead of a field.
I also add the following API :
- `listTransvecCol_mul_mul_listTransvecRow_last_diag`: the elimination does not change the
last diagonal coefficient
- `exists_isTwoBlockDiagonal_and_last_eq_of_isUnit`
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|
t-algebra
LLM-generated
label:t-algebra$ |
128/110 |
Mathlib/LinearAlgebra/Matrix/Transvection.lean |
1 |
2 |
['Nicola9Falciola', 'github-actions'] |
nobody |
0-9539 2 hours ago |
0-11194 3 hours ago |
8-17369 8 days |
1 |
| 44387 |
JovanGerb author:JovanGerb |
perf(Linter/UnusedTactic): lint uses of `<;>` |
This PR extends the unused tactic linter to also lint for redundant uses of the `<;>` combinator. In particular, if `<;>` generates at most 1 new goal, then it is redundant, because it can be replaced with `;` or just removed entirely.
The UnnecessarySeqFocus linter in batteries also lints the same exact thing (but the code is much longer than the few lines added in this PR). So, this PR turns it off in mathlib, which gives a big speedup.
- The linter currently can't tell the difference between when `<;>` is actually unused, or only used in a way that can be replaced with `;`. I think this is acceptable, as the main goal of the linter is to point out that something is wrong.
- It turns out that the batteries linter wasn't actually imported in `Mathlib.Init`, but only in `Mathlib.Tactic.Common` (transitively via `Batteries.Tactic.Basic`). So, this PR makes this feature available in more of mathlib, and has to make some adaptations.
- In combination with #44391, all batteries' linters will be turned off in mathlib. I'm not sure what should happen to them. Should they be deprecated in favour of the unused tactic linter in mathlib?
- A follow up PR may also lint against uses of `all_goals` and `any_goals` that involve at most 1 goal. And we could lint against uses of `try` where the inner tactic always succeeds.
---
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|
t-linter |
128/37 |
Mathlib/Algebra/Ring/Ext.lean,Mathlib/AlgebraicTopology/SimplexCategory/Basic.lean,Mathlib/Control/Traversable/Instances.lean,Mathlib/Data/List/Infix.lean,Mathlib/Data/Num/ZNum.lean,Mathlib/GroupTheory/FreeAbelianGroup.lean,Mathlib/NumberTheory/LSeries/RiemannZetaLogDeriv.lean,Mathlib/Tactic/Linter/UnusedTactic.lean,MathlibTest/Linter/UnusedTactic.lean,MathlibTest/Tactic/Basify.lean,MathlibTest/TacticAnalysis.lean,lakefile.lean |
12 |
8 |
['JovanGerb', 'github-actions', 'grunweg', 'leanprover-radar'] |
nobody |
0-9265 2 hours ago |
0-12153 3 hours ago |
0-19258 5 hours |
0 |
| 44368 |
emlis42 author:emlis42 |
feat: implement OEIS attribute |
This PR implements OEIS attribute. This allows users to link Mathlib declarations to OEIS entries.
The implementation is copied from the Wikidata attribute.
The OEIS (On-Line Encyclopedia of Integer Sequences) is an online database of integer sequences. (see also [wikipedia](https://en.wikipedia.org/wiki/On-Line_Encyclopedia_of_Integer_Sequences), [OEIS](https://oeis.org), [provables/sequencelib](https://github.com/provables/sequencelib)).
This follows the same pattern as the DLMF attribute (#42899). |
t-meta |
145/11 |
Mathlib/Tactic/CrossRefAttribute.lean,MathlibTest/CrossRefAttribute.lean,scripts/README.md,scripts/export_crossrefs.lean |
4 |
15 |
['SnirBroshi', 'emlis42', 'github-actions', 'luigi-massacci'] |
nobody |
0-6680 1 hour ago |
1-20041 1 day ago |
1-19762 1 day |
1 |
| 44400 |
sgouezel author:sgouezel |
chore: fix a non-reducible diamond in `MvPowerSeries` |
The following fails before the PR, succeeds after it:
```
example : ((MvPowerSeries.instCommRingRestricted
c).toNonUnitalSemiring : NonUnitalSemiring (MvPowerSeries.Restricted S c)) =
NonUnitalCommRing.toNonUnitalCommSemiring.toNonUnitalSemiring := by
with_implicit rfl
```
---
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|
t-ring-theory |
4/5 |
Mathlib/RingTheory/MvPowerSeries/Restricted.lean |
1 |
1 |
['github-actions'] |
nobody |
0-6426 1 hour ago |
0-7347 1 hour ago |
0-7068 1 hour |
0 |
| 44401 |
YaelDillies author:YaelDillies |
chore: deprecated modules for #43253 |
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|
t-data
easy
|
210/0 |
Mathlib.lean,Mathlib/Data/Bracket.lean,Mathlib/Data/ENat/SuccOrder.lean,Mathlib/Data/Fin/SuccPredOrder.lean,Mathlib/Data/FunLike/Basic.lean,Mathlib/Data/FunLike/Embedding.lean,Mathlib/Data/FunLike/Equiv.lean,Mathlib/Data/FunLike/Graded.lean,Mathlib/Data/FunLike/Group.lean,Mathlib/Data/FunLike/IsApply.lean,Mathlib/Data/FunLike/Module.lean,Mathlib/Data/FunLike/Ring.lean,Mathlib/Data/Int/AbsoluteValue.lean,Mathlib/Data/Int/ConditionallyCompleteOrder.lean,Mathlib/Data/Int/LeastGreatest.lean,Mathlib/Data/Int/Star.lean,Mathlib/Data/Int/SuccPred.lean,Mathlib/Data/Multiset/OrderedMonoid.lean,Mathlib/Data/Nat/SuccPred.lean,Mathlib/Data/Opposite.lean,Mathlib/Data/PEquiv.lean,Mathlib/Data/PNat/Order.lean,Mathlib/Data/PSigma/Order.lean,Mathlib/Data/Prod/Lex.lean,Mathlib/Data/Rat/Star.lean,Mathlib/Data/SProd.lean,Mathlib/Data/Set/Pairwise/Chain.lean,Mathlib/Data/SetLike/Basic.lean,Mathlib/Data/Setoid/Basic.lean,Mathlib/Data/Setoid/Partition.lean,Mathlib/Data/Setoid/Partition/Card.lean,Mathlib/Data/Sigma/Lex.lean,Mathlib/Data/Sigma/Order.lean,Mathlib/Data/Sum/Lattice.lean,Mathlib/Data/Sum/Order.lean,Mathlib/Data/Sym/Sym2/Order.lean |
36 |
1 |
['github-actions'] |
nobody |
0-5487 1 hour ago |
0-5685 1 hour ago |
0-5800 1 hour |
0 |
| 42346 |
mortarsanjaya author:mortarsanjaya |
feat(Algebra/CharP/Two): weaken theorem hypothesis |
This PR weakens the hypothesis of several theorems about rings of characteristic 2. Some of these lemmas do not require the (semi)ring to be associative, some of them do not require subtraction (and thus `Ring` can be weakened to `Semiring`), and those about integer cast do not even require multiplication.
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
77/45 |
Mathlib/Algebra/CharP/Two.lean |
1 |
6 |
['github-actions', 'mathlib-merge-conflicts', 'mortarsanjaya', 'themathqueen', 'vihdzp'] |
nobody |
0-3620 1 hour ago |
11-79541 11 days ago |
58-61276 58 days |
0 |
| 43897 |
vlad902 author:vlad902 |
feat(LinearAlgebra): remove a few `Nontrivial`s |
`StrongRankCondition` already implies `Nontrivial`, but the instance is not global (presumably to avoid slowing down typeclass synthesis.) Add a local instance in two places and get rid of some `Nontrivial` instances as a result.
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|
t-algebra
maintainer-merge
label:t-algebra$ |
7/4 |
Mathlib/LinearAlgebra/Dimension/Constructions.lean,Mathlib/LinearAlgebra/Matrix/Rank.lean |
2 |
12 |
['github-actions', 'leanprover-radar', 'themathqueen', 'vlad902'] |
nobody |
0-3186 53 minutes ago |
0-5842 1 hour ago |
13-6376 13 days |
0 |
| 43418 |
aimmerwahr author:aimmerwahr |
feat(RingTheory): prove `comap_ringConGen_equiv` (`proof_wanted`) |
Prove that `(ringConGen r).comap f = ringConGen (r on f)` for an EquivLike as stated in proof_wanted.
I rearranged the parameter order (and dropped `[FunLike F R' R]`) from the original proof_wanted statement, since EquivLike already gives a FunLike and having repeated FunLike (that are not definitionally equal) makes instance resolution impossible.
This is essentially the same proof as the previous ring equivalence version (pulling back the RingCon by f inverse and then by f), with comap spelled out explicitly.
AI usage: Everything is proved by hand. I then worked with AI to review and simplify the code.
Thanks to @pepamontero for suggesting a better formulation! |
file-removed
t-ring-theory
new-contributor
|
15/36 |
Mathlib/RingTheory/Congruence/Basic.lean,Wanted.lean,Wanted/RingTheory/Congruence/Basic.lean |
3 |
3 |
['aimmerwahr', 'github-actions', 'pepamontero'] |
nobody |
0-2630 43 minutes ago |
27-72241 27 days ago |
27-71962 27 days |
0 |
| 44378 |
wwylele author:wwylele |
feat(Analysis/Normed): sup norm of Function.extend by one |
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|
t-analysis |
71/4 |
Mathlib/Analysis/Normed/Group/Constructions.lean,Mathlib/Data/Set/Restrict.lean,Mathlib/Order/ConditionallyCompleteLattice/Indexed.lean |
3 |
10 |
['copilot-pull-request-reviewer', 'github-actions', 'themathqueen', 'wwylele'] |
nobody |
0-2382 39 minutes ago |
0-2382 35 minutes ago |
0-50737 14 hours |
2 |
| 44402 |
bryangingechen author:bryangingechen |
ci: upgrade to privilege-escalation-bridge v2.1.0 |
Upgrade the privilege-escalation-bridge `emit` and `consume` actions from v1.3.0 to [v2.1.0](https://github.com/leanprover-community/privilege-escalation-bridge/releases/tag/v2.1.0), and SpliceBot to [`d004ecf`](https://github.com/leanprover-community/SpliceBot/commit/d004ecff78992a31a444fe6ba23914bf9bfbc01e), which uses it.
- The maintainer merge and bors follow-up consumers set `verify: true` and take the commenter, the comment body and the PR from the values the bridge fetches from the GitHub API. They parse the merge/delegate command from that comment themselves, and the legacy artifact fallback is removed. Their producers no longer emit outputs.
- The commit verification and olean report consumers take the PR number from the bridge's verified values.
- olean report emits its bridge artifact from a separate job that runs no PR code.
- For comments by `mathlib-splicebot[bot]`, maintainer merge only reads the command from the first line.
- SpliceBot's `base_ref` setting moves to the `splice-wf-run` action. It now defaults to the original PR's base branch, which so far has always been `master`.
Behaviour changes:
- A maintainer merge/delegate or bors command in a comment that someone other than its author edited is ignored.
- A commit verification run fails if the PR was pushed to after it started. The run for the newer push posts the comment.
- An `!olean_report` request is refused if GitHub started its run more than an hour after the comment.
- When re-running a producer workflow, the job that emits the bridge artifact must be re-run too. "Re-run all jobs" always does this.
- splice-bot refuses a reply in a review thread that was started before the PR's latest push, and asks for a new review comment instead.
---
Checked with actionlint and zizmor (no new findings), and by running the new parsing and checking steps locally.
Until this PR is merged, reviews and review comments on it run its new producers but `master`'s old consumers, which don't match. Post any `maintainer merge` or `bors` command on this PR as a plain comment rather than in a review.
🤖 Generated with [Claude Code](https://claude.com/claude-code)
|
CI
LLM-generated
|
200/228 |
.github/workflows/commit_verification.yml,.github/workflows/commit_verification_wf_run.yml,.github/workflows/maintainer_bors.yml,.github/workflows/maintainer_bors_wf_run.yml,.github/workflows/maintainer_merge.yml,.github/workflows/maintainer_merge_wf_run.yml,.github/workflows/olean_report.yaml,.github/workflows/olean_report_wf_run.yaml,.github/workflows/splice_bot.yaml,.github/workflows/splice_bot_wf_run.yaml |
10 |
1 |
['github-actions'] |
nobody |
0-1889 31 minutes ago |
0-1889 26 minutes ago |
0-1610 26 minutes |
0 |
| 44403 |
zhikaip author:zhikaip |
fix(scripts/dag_traversal.py): kill timed-out builds on Windows |
`os.killpg` does not exist on Windows, so the first per-module timeout in `rm_set_option.py` raised `AttributeError` and left the build running. Add a `_kill_tree` helper that falls back to `taskkill /F /T`.
Found and tested by running `rm_set_option.py` on Physlib (leanprover-community/physlib#1705), where the run then completed.
Disclaimer: I encountered this while running the script on Physlib using a windows PC, and Claude suggested this fix for me which I think may be useful to upstream.
---
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In this box, the text above the `---` (if not empty) will be appended
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-->
|
CI
new-contributor
|
11/2 |
scripts/dag_traversal.py |
1 |
2 |
['github-actions'] |
nobody |
0-1598 26 minutes ago |
0-2147 31 minutes ago |
0-1868 31 minutes |
0 |
| 41506 |
YaelDillies author:YaelDillies |
refactor(Data): make `Set` a one-field structure |
Replace
```
def Set (α : Type u) := α → Prop
```
with
```
structure Set (α : Type u) where
ofPred :: Mem : α → Prop
```
Generated by Claude Opus. Painfully reviewed and improved line-by-line by myself.
Fix #10941
Assisted-by: Claude Opus 4.8
---
- [x] depends on: #41446
- [x] depends on: #41507
- [x] depends on: #41533
- [x] depends on: #42169
- [x] depends on: #42170
- [x] depends on: #42171
- [x] depends on: #42172
- [x] depends on: #42173
- [x] depends on: #43114
- [x] depends on: #43467
See previous attempt at #39211
[](https://gitpod.io/from-referrer/)
|
t-data
LLM-generated
tech debt
increases-technical-debt
maintainer-merge
|
806/701 |
Archive/Imo/Imo1987Q1.lean,Archive/Imo/Imo2024Q3.lean,Archive/Imo/Imo2025Q3.lean,Counterexamples/Omega1Space.lean,Counterexamples/SorgenfreyLine.lean,Mathlib/Algebra/AffineMonoid/Irreducible.lean,Mathlib/Algebra/Group/Action/Equidecomp.lean,Mathlib/Algebra/Group/Irreducible/Indecomposable.lean,Mathlib/Algebra/GroupWithZero/NonZeroDivisors.lean,Mathlib/Algebra/Lie/Basis/Prod.lean,Mathlib/Algebra/Lie/Subalgebra.lean,Mathlib/Algebra/Lie/Submodule.lean,Mathlib/Algebra/Module/FinitePresentation.lean,Mathlib/Algebra/MonoidAlgebra/Grading.lean,Mathlib/Algebra/Order/Archimedean/Class.lean,Mathlib/Algebra/Order/Ring/StandardPart.lean,Mathlib/Algebra/Polynomial/Roots.lean,Mathlib/AlgebraicTopology/SimplicialSet/Monoidal.lean,Mathlib/Analysis/BoxIntegral/Basic.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Continuity.lean,Mathlib/Analysis/CStarAlgebra/Spectrum.lean,Mathlib/Analysis/Calculus/ContDiff/Basic.lean,Mathlib/Analysis/Calculus/ContDiff/Operations.lean,Mathlib/Analysis/Calculus/Deriv/Basic.lean,Mathlib/Analysis/Calculus/Deriv/MeanValue.lean,Mathlib/Analysis/Calculus/FDeriv/Measurable.lean,Mathlib/Analysis/Calculus/FormalMultilinearSeries.lean,Mathlib/Analysis/Complex/CauchyIntegral.lean,Mathlib/Analysis/Complex/CoveringMap.lean,Mathlib/Analysis/Complex/PhragmenLindelof.lean,Mathlib/Analysis/Complex/UpperHalfPlane/ProperAction.lean,Mathlib/Analysis/Convex/Gauge.lean,Mathlib/Analysis/Fourier/AddCircleMulti.lean,Mathlib/Analysis/InnerProductSpace/Rayleigh.lean,Mathlib/Analysis/LocallyConvex/BalancedCoreHull.lean,Mathlib/Analysis/LocallyConvex/Polar.lean,Mathlib/Analysis/LocallyConvex/Separation.lean,Mathlib/Analysis/Meromorphic/Order.lean,Mathlib/Analysis/Normed/Group/Continuity.lean,Mathlib/Analysis/Normed/Group/Indicator.lean,Mathlib/Analysis/Normed/Group/Quotient.lean,Mathlib/Analysis/Normed/Module/FiniteDimension.lean,Mathlib/Analysis/Normed/Module/Seminorm/Basic.lean,Mathlib/Analysis/ODE/Transform.lean,Mathlib/Analysis/Oscillation.lean,Mathlib/Analysis/Polynomial/MahlerMeasure.lean,Mathlib/Analysis/SpecialFunctions/Complex/Analytic.lean,Mathlib/Analysis/SpecialFunctions/Complex/Arg.lean,Mathlib/Analysis/SpecialFunctions/Complex/Circle.lean,Mathlib/Analysis/SpecialFunctions/Log/Basic.lean,Mathlib/Analysis/SpecialFunctions/NonIntegrable.lean,Mathlib/Basic/NNReal/Basic.lean,Mathlib/CategoryTheory/CofilteredSystem.lean,Mathlib/CategoryTheory/Limits/FinallySmall.lean,Mathlib/CategoryTheory/Sites/JointlySurjective.lean,Mathlib/Combinatorics/Derangements/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Clique.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Subgraph.lean,Mathlib/Combinatorics/SimpleGraph/Subgraph.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Maps.lean,Mathlib/Computability/NFA.lean,Mathlib/Computability/Reduce.lean,Mathlib/Data/Finset/Empty.lean,Mathlib/Data/Finset/Insert.lean,Mathlib/Data/Finset/SMulAntidiagonal.lean,Mathlib/Data/Nat/Digits/Lemmas.lean,Mathlib/Data/Nat/Nth.lean,Mathlib/Data/Set/Basic.lean,Mathlib/Data/Set/Card.lean,Mathlib/Data/Set/Defs.lean,Mathlib/Data/Set/Finite/List.lean,Mathlib/Data/Set/Finite/Powerset.lean,Mathlib/Data/Set/Insert.lean,Mathlib/Data/Set/List.lean,Mathlib/Data/Set/Prod.lean,Mathlib/Dynamics/Ergodic/Action/Basic.lean,Mathlib/Dynamics/Ergodic/Action/OfMinimal.lean,Mathlib/Dynamics/Ergodic/AddCircle.lean,Mathlib/Dynamics/Ergodic/Conservative.lean,Mathlib/Dynamics/OmegaLimit.lean,Mathlib/Dynamics/TopologicalEntropy/NetEntropy.lean,Mathlib/Dynamics/TopologicalEntropy/Subset.lean,Mathlib/FieldTheory/AxGrothendieck.lean,Mathlib/FieldTheory/Galois/Infinite.lean,Mathlib/FieldTheory/Minpoly/Basic.lean,Mathlib/Geometry/Diffeology/Basic.lean,Mathlib/Geometry/Euclidean/Circumcenter.lean,Mathlib/Geometry/Group/WordMetric.lean,Mathlib/Geometry/Manifold/Complex.lean,Mathlib/Geometry/Manifold/Instances/Real.lean,Mathlib/Geometry/Manifold/IntegralCurve/ExistUnique.lean,Mathlib/Geometry/Manifold/IntegralCurve/Transform.lean,Mathlib/Geometry/Manifold/PartitionOfUnity.lean,Mathlib/Geometry/Manifold/Riemannian/PathELength.lean,Mathlib/Geometry/Manifold/Sheaf/LocallyRingedSpace.lean,Mathlib/Geometry/Manifold/VectorBundle/CovariantDerivative/Metric.lean,Mathlib/GroupTheory/GroupAction/Blocks.lean,Mathlib/GroupTheory/GroupAction/Primitive.lean,Mathlib/GroupTheory/Perm/Centralizer.lean,Mathlib/GroupTheory/Perm/Cycle/Basic.lean |
262 |
55 |
['JovanGerb', 'Parcly-Taxel', 'SnirBroshi', 'TwoFX', 'YaelDillies', 'github-actions', 'leanprover-radar', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'tb65536', 'themathqueen'] |
nobody |
0-1500 25 minutes ago |
1-7312 1 day ago |
1-19897 1 day |
0 |
| 44404 |
peabrainiac author:peabrainiac |
feat(Topology): σ-locally finite families of sets |
Define σ-locally finite families of sets, i.e. families that consist of countably many locally finite families, and provide API for them analogous to some of the existing API for `LocallyFinite`.
---
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For some mathematical context, σ-locally finite families generalise both countable and locally finite families but are incomparable to locally countable families - that is, not every locally countable family is σ-locally finite, and not every σ-locally finite family is locally countable. While local countability might seem like a more natural condition in a vacuum, the reason σ-locally finite families are of interest is that they show up in several point-set topological applications:
- In order for a regular space to be paracompact, it suffices for open covers of it to admit σ-locally finite open refinements instead of locally finite ones. This is useful e.g. for proving that Fσ subsets of regular paracompact spaces are paracompact, which is one way to prove paracompactness of Milnor's $EG$ and $BG$ for compact Hausdorff groups.
- In order for a cover to be numerable (i.e. admit a subordinate partition of unity) it suffices for it to be refined by a σ-locally finite cover by cozero sets. This is important for e.g. proving the stacking lemma for numerable covers, which was useful for proving homotopy invariance of numerable fibre bundles in [classifying-bundles](https://peabrainiac.github.io/classifying-bundles/docs/ClassifyingBundles/NumerableBundle.html).
- Cozero sets and Fσ sets are both closed under σ-locally finite unions but not e.g. locally countable ones.
Since Engelking's general topology book introduces σ-locally finite families and proves several theorems about them, among others the mentioned paracompactness criterion, we list it as a reference in the file. The term is not exclusive to the book though, see e.g. nlab [here](https://ncatlab.org/nlab/show/countably+locally+finite+set+of+subsets) and pi-base [here](https://topology.pi-base.org/properties/P000054). |
t-topology |
148/0 |
Mathlib.lean,Mathlib/Data/Set/Restrict.lean,Mathlib/Topology/SigmaLocallyFinite.lean |
3 |
1 |
['github-actions'] |
nobody |
0-966 16 minutes ago |
0-1058 12 minutes ago |
0-779 12 minutes |
0 |
| Number |
Author |
Title |
Description |
Labels |
+/- |
Modified files (first 100) |
📝 |
💬 |
All users who commented or reviewed |
Assignee(s) |
Updated |
Last status change |
total time in review |
blocks |
| 35069 |
A-M-Berns author:A-M-Berns |
feat(Geometry/Polygon): simple polygons and boundary map |
This PR introduces Simple polygons with the predicate `IsSimple`, which captures the idea of a non-self-intersecting boundary, in the file Simple.lean. In the file Boundary.lean, a boundary map from `AddCircle n` is defined. I prove that the range of this map is the boundary and that this map is injective if and only if the polygon is simple. I kept Boundary.lean and Simple.lean separate because future results will include stuff just about the boundary map independent of simplicity (e.g. that it is continuous in the appropriate setting) and stuff just about simple polygons independent of the boundary map (e.g. that for n = 3, IsSimple iff HasNondegenerateVertices.) I used Claude Code to help generate some of the proof material, but I golfed and edited all AI contribution.
- [x] depends on: #34598
---
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any "Co-authored-by" lines) using the following format:
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--> |
new-contributor
t-euclidean-geometry
LLM-generated
|
360/0 |
Mathlib.lean,Mathlib/Geometry/Polygon/Boundary.lean,Mathlib/Geometry/Polygon/Simple.lean,Mathlib/Logic/Equiv/Fin/Rotate.lean |
4 |
30 |
['A-M-Berns', 'eric-wieser', 'github-actions', 'joneugster', 'jsm28', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp', 'wwylele'] |
nobody |
131-76116 4 months ago |
218-15571 218 days ago |
220-49578 220 days |
0 |
| 36813 |
AlexeyMilovanov author:AlexeyMilovanov |
feat(Computability.Encoding): add self-delimiting unary and pair encodings |
Adds self-delimiting boolean encodings to `Mathlib.Computability.Encoding`.
**Key changes:**
* **`unaryPrefixEncodingNat`**: A self-delimiting unary `Encoding ℕ Bool`, using the code $1^n0$.
* **`encodingProdBool`**: Builds an `Encoding (α × β) Bool` from boolean encodings of `α` and `β`, by prefixing the length of the first encoded component.
* **`encodingListBool`**: Builds an `Encoding (List α) Bool` from a boolean encoding of `α`, using self-delimiting element encodings.
* **`UnaryPrefix` helpers**: Internal-style helper API for the underlying length-prefixed boolean-list encoding and decoding. |
t-computability
new-contributor
|
98/0 |
Mathlib/Computability/Encoding.lean |
1 |
6 |
['AlexeyMilovanov', 'Komyyy', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
85-22538 2 months ago |
85-22538 85 days ago |
101-64536 101 days |
0 |
| 36719 |
NoneMore author:NoneMore |
feat(ModelTheory): add `PartialType` for first-order theories |
This PR adds the definitions of partial types over theories and over parameter sets, and proves several equivalent characterizations.
---
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git commit --author="Author Name <author@email.com>" --allow-empty -m "add Author Name as coauthor"
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the commit message (that is, directly before the `---`) using the following format:
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at the bottom of the commit message (before the `---`, and also before
any "Co-authored-by" lines) using the following format:
Moves:
- Vector.* -> List.Vector.*
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Deletions:
- Nat.bit1_add_bit1
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-->
- [x] depends on: #36667
[](https://gitpod.io/from-referrer/)
|
t-logic
new-contributor
|
432/17 |
Mathlib.lean,Mathlib/ModelTheory/PartialTypes.lean,Mathlib/ModelTheory/Semantics.lean |
3 |
7 |
['NoneMore', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
77-73837 2 months ago |
77-74358 77 days ago |
85-57040 85 days |
0 |
| 41934 |
NickKobs author:NickKobs |
feat(Order/Nucleus): a nucleus on a Boolean algebra is closed |
Adds `Mathlib/Order/Nucleus/Boolean.lean` — the Boolean specialization of the nucleus API:
```lean
theorem Nucleus.apply_eq_sup_apply_bot [BooleanAlgebra X] (n : Nucleus X) (a : X) :
n a = a ⊔ n ⊥
theorem Nucleus.isClosed_of_booleanAlgebra [BooleanAlgebra X] (n : Nucleus X) :
⇑n = fun a => a ⊔ n ⊥
theorem Nucleus.eq_of_apply_bot_eq [BooleanAlgebra X] {m n : Nucleus X} (h : m ⊥ = n ⊥) :
m = n
```
**Why.** `Mathlib.Order.Nucleus` provides the frame / Heyting-algebra structure of `Nucleus X`, the closure-operator view (`toClosureOperator`), and the pointwise `le_apply` / `idempotent` / `map_inf` API, but no Boolean specialization. On a Boolean algebra every nucleus is *closed* — completely determined by its value at `⊥` — which is the pointwise algebraic core of the classical fact that the assembly `N(L)` is Boolean iff `L` is (Beazer–Macnab; Simmons; Johnstone, *Stone Spaces*, II.2). It is the natural companion to the existing frame structure and a common building block in point-free topology.
**Proof.** `n a = n a ⊓ (a ⊔ aᶜ) = (n a ⊓ a) ⊔ (n a ⊓ aᶜ)`; the left join-and is `a` (inflationarity), the right is `≤ n a ⊓ n aᶜ = n (a ⊓ aᶜ) = n ⊥` (inflationarity of `aᶜ` + `map_inf`). The reverse inequality is inflationarity plus monotonicity applied to `⊥ ≤ a`. No completeness is needed — the statement is pointwise, so `[BooleanAlgebra X]` (not a complete Boolean algebra) suffices.
**References.**
* R. Beazer, D. S. Macnab, *Modal extensions of Heyting algebras*.
* H. Simmons, *A framework for topology*, Logic Colloquium '77.
* P. T. Johnstone, *Stone Spaces*, CUP (1982), II.2.
**Provenance.** The theorem was first mechanized (Mathlib-free, over a finite Boolean frame) in the BETTI/Araksha refusal-algebra work; this PR is the generalization to an arbitrary `BooleanAlgebra` against Mathlib's own `Nucleus` API. The result is classical open mathematics, cited above. An earlier revision of the file was compiled clean against master `c81c5cbb` (Lean `v4.33.0-rc1`); this revision adapts the header to the module system (`module` / `public import` / `@[expose] public section`).
|
t-order
new-contributor
LLM-generated
|
71/0 |
Mathlib.lean,Mathlib/Order/Nucleus/Boolean.lean |
2 |
5 |
['felixpernegger', 'github-actions'] |
nobody |
73-76873 2 months ago |
74-4216 74 days ago |
74-3937 74 days |
0 |
| 42046 |
LegaSage author:LegaSage |
feat(Polynomial): add Wronskian linear dependence lemmas |
This extends the polynomial Wronskian API of Baek and Lee from the existing coprime case to arbitrary polynomials over a characteristic-zero field.
It adds:
* an explicit nontrivial scalar relation for any pair with zero Wronskian, including zero-polynomial edge cases;
* scalar-multiple corollaries when either polynomial is nonzero;
* the weighted derivative corollary that solutions of `a * f' - n * a' * f = 0` are scalar multiples of `a ^ n` when `a ≠ 0`.
The proof factors out the polynomial gcd and applies the existing `IsCoprime.wronskian_eq_zero_iff` theorem. This PR makes no novelty claim; it packages standard consequences of the existing Baek–Lee coprime Wronskian API.
-------
The implementation was prepared with assistance from OpenAI Codex and reviewed and submitted by LegaSage.
|
t-ring-theory
new-contributor
large-import
LLM-generated
|
96/1 |
Mathlib/RingTheory/Polynomial/Wronskian.lean |
1 |
2 |
['github-actions'] |
nobody |
69-36832 2 months ago |
69-74802 69 days ago |
69-74523 69 days |
0 |
| 42047 |
LegaSage author:LegaSage |
feat(RingTheory): add locally nilpotent derivations |
This introduces `Derivation.IsLocallyNilpotent` and basic iteration lemmas for locally nilpotent derivations. The main result is the method-style theorem `Derivation.IsLocallyNilpotent.apply_eq_zero_of_dvd`: over a characteristic-zero domain, if `f ∣ D f` for a locally nilpotent derivation `D`, then `D f = 0`.
The proof uses the iterated Leibniz rule and the top nonvanishing iterates of the two factors.
-----
The implementation and PR text were prepared with assistance from OpenAI Codex. |
t-ring-theory
new-contributor
LLM-generated
|
167/0 |
Mathlib.lean,Mathlib/RingTheory/Derivation/LocallyNilpotent.lean |
2 |
2 |
['github-actions'] |
nobody |
69-36813 2 months ago |
69-74802 69 days ago |
69-74523 69 days |
0 |
| 42082 |
attilavjda author:attilavjda |
feat(FieldTheory): reduce Frobenius powers modulo the extension degree |
Adds ring-hom and pointwise lemmas reducing powers of Frobenius modulo the extension degree of a finite field.
---
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-->
[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
12/0 |
Mathlib/FieldTheory/Finite/Basic.lean |
1 |
5 |
['attilavjda', 'felixpernegger', 'github-actions'] |
nobody |
68-26627 2 months ago |
68-27411 68 days ago |
68-35603 68 days |
0 |
| 42226 |
espottesmith author:espottesmith |
feat(Combinatorics/Hypergraph): add restriction `x ≠ y` to hypergraph vertex and edge adjacency |
---
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at the bottom of the commit message (before the `---`, and also before
any "Co-authored-by" lines) using the following format:
Moves:
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- Nat.bit1_add_bit1
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This introduces a small change to the definitions of adjacency and edge-adjacency for undirected hypergraphs, based on a conversation with @Jun2M and @b-mehta in [#28613](https://github.com/leanprover-community/mathlib4/pull/28613).
Previously, any two vertices (edges) `x` and `y` could be adjacent, provided that there was an edge in the edge set containing both of them (there was a vertex contained in both of them). Now, we add the restriction that `x` is not equal to `y`.
This should allow `SimpleGraph` to be a clean specialization of `Hypergraph` and to ease the eventual implementation of walks.
This PR has no dependencies, but see also [42164](https://github.com/leanprover-community/mathlib4/pull/42162), @Jun2M's implementation of `HyperGraphLike` and formalization that `Hypergraph`s are `HyperGraphLike`, which includes this restriction on `Adj`.
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
4/4 |
Mathlib/Combinatorics/Hypergraph/Basic.lean |
1 |
3 |
['github-actions'] |
nobody |
64-49262 2 months ago |
64-49828 64 days ago |
64-49549 64 days |
0 |
| 42223 |
cameronfreer author:cameronfreer |
feat(Computability/Reduce): the halting problem is many-one complete |
`Mathlib/Computability/Halting.lean` proves that the halting problem is recursively enumerable (`ComputablePred.halting_problem_re`) and not computable (`ComputablePred.halting_problem`), but not that it is complete: there is no `REPred R → R ≤₀ K`, and neither `Halting.lean` nor `RE.lean` mentions `≤₀`.
This PR adds three results:
```lean
theorem REPred.manyOneReducible_halting_problem {R : ℕ → Prop} (h : REPred R) (n : ℕ) :
R ≤₀ fun c : Code => (Code.eval c n).Dom
theorem halting_problem_manyOneEquiv_halting_problem₂ (n : ℕ) :
ManyOneEquiv (fun c : Code => (Code.eval c n).Dom)
(fun p : Code × ℕ => (Code.eval p.1 p.2).Dom)
theorem REPred.manyOneReducible_halting_problem₂ {R : ℕ → Prop} (h : REPred R) :
R ≤₀ fun p : Code × ℕ => (Code.eval p.1 p.2).Dom
```
(I've stated the results in `Reduce.lean` rather than alongside the other halting-problem results because `≤₀` is defined here, and `Reduce` imports `Halting` rather than the other way around.)
🤖 These proofs were written with the assistance of Claude Opus 5 high and reviewed by GPT Sol 5.6 xhigh.
|
t-computability
new-contributor
LLM-generated
|
41/0 |
Mathlib/Computability/Reduce.lean |
1 |
3 |
['cameronfreer', 'github-actions'] |
nobody |
63-25951 2 months ago |
64-53759 64 days ago |
64-53480 64 days |
0 |
| 42189 |
cameronfreer author:cameronfreer |
feat(ModelTheory/Basic): add characterization of languages with countably many symbols |
`Language.Countable.countable_functions` currently projects `Countable L.Symbols` onto the function symbols, but there is no counterpart for relations. This PR adds the missing instance; in doing so it relates the two ways that Mathlib already expresses "countable language": the bundled `Language.card ≤ ℵ₀` and the unbundled `Countable (Σ l, L.Functions l)` / `Countable (Σ l, L.Relations l)` hypotheses that model-theoretic statements tend to carry separately.
* `Countable.countable_relations`, `countable_symbols_iff`, and `card_le_aleph0_iff_countable` connect the bundled and unbundled formulations of symbol countability.
* `Countable.countable_sum`, `Countable.countable_constantsOn`, and `Countable.countable_withConstants` centralize countability instances for language constructors and remove the corresponding local instances from `Encoding.lean`.
## Motivation
Following review feedback from @NoneMore, this PR now also simplifies existing Mathlib code: generic countability instances for `Language.sum`, `constantsOn`, and `withConstants` live beside those constructors, so `Encoding.lean` no longer needs its own cardinal-arithmetic proofs for them.
The broader motivation comes from projects in infinitary model theory that build on Mathlib, in which one typically needs to carry around a hypothesis about countability of the set of symbols.
Specifically, in [cameronfreer/infinitary-logic](https://github.com/cameronfreer/infinitary-logic) the two sorts are carried unbundled and independently throughout; there are roughly 180 occurrences of the relation-symbol hypothesis and 24 of the function-symbol one. Here are a few examples:
* [`Methods/Henkin/ModelExistence.lean#L60`](https://github.com/cameronfreer/infinitary-logic/blob/1a478e80794080a536931c029281bb65266b3171/InfinitaryLogic/Methods/Henkin/ModelExistence.lean#L60): model existence, carrying both hypotheses side by side;
* [`Admissible/Compactness.lean#L90`](https://github.com/cameronfreer/infinitary-logic/blob/1a478e80794080a536931c029281bb65266b3171/InfinitaryLogic/Admissible/Compactness.lean#L90): Barwise completeness, likewise;
* [`Descriptive/Polish.lean#L46`](https://github.com/cameronfreer/infinitary-logic/blob/1a478e80794080a536931c029281bb65266b3171/InfinitaryLogic/Descriptive/Polish.lean#L46): a section variable assuming only the relation symbols are countable, which is where one notices the missing companion instance;
* [`Methods/LopezEscobar/CodeClass.lean#L29`](https://github.com/cameronfreer/infinitary-logic/blob/1a478e80794080a536931c029281bb65266b3171/InfinitaryLogic/Methods/LopezEscobar/CodeClass.lean#L29): a custom `Countable (Σ n, L.Functions n)` instance for relational languages, which is an example of the bookkeeping that arises from the two sorts not being related by a single lemma.
(Note that the `countable_functions` and `countable_relations` instances only project *out of* `Countable L.Symbols` into a summand; the converse direction is stated as a theorem rather than an instance, so there is no risk of an instance cycle.)
🤖 These proofs were written with the assistance of Claude Opus 5 high and reviewed by GPT Sol 5.6 xhigh.
|
t-logic
new-contributor
LLM-generated
|
33/12 |
Mathlib/ModelTheory/Basic.lean,Mathlib/ModelTheory/Encoding.lean,Mathlib/ModelTheory/LanguageMap.lean |
3 |
5 |
['NoneMore', 'cameronfreer', 'github-actions'] |
nobody |
63-25925 2 months ago |
64-52697 64 days ago |
64-55626 64 days |
0 |
| 42203 |
cameronfreer author:cameronfreer |
feat(Algebra/MvPolynomial): compact only the right summand of a sum of variables |
Currently `exists_fin_rename` reindexes the entire variable type along an injection `Fin n → σ`. At `σ ⊕ τ` this renumbers the left-hand variables together with the right-hand ones, so it cannot be used when the left summand carries meaning that has to be preserved.
This PR adds two variants that leave the left summand alone, mirroring the existing `exists_finset_rename` / `exists_fin_rename` pair:
```lean
theorem exists_finset_right_rename (p : MvPolynomial (σ ⊕ τ) R) :
∃ (t : Finset τ) (q : MvPolynomial (σ ⊕ { x // x ∈ t }) R),
p = rename (Sum.map id (↑)) q
theorem exists_fin_right_rename (p : MvPolynomial (σ ⊕ τ) R) :
∃ (n : ℕ) (f : Fin n → τ) (_hf : Injective f) (q : MvPolynomial (σ ⊕ Fin n) R),
p = rename (Sum.map id f) q
```
The first of these factors `exists_finset_rename` through `Finset.toRight`: rename along the map that fixes the left-hand variables and sends each right-hand variable of the finset into `s.toRight`.
The second one then enumerates that right-hand finset with `Fintype.equivFin`, the same way that `exists_fin_rename` does.
Motivation: a Diophantine relation is presented as a polynomial in input variables along with existentially quantified witness variables, and the normal form wants inputs indexed by `Fin n` and witnesses compacted to `Fin m`. Only the witnesses may be reindexed; renumbering the inputs changes the relation being represented. This comes up in work I've been exploring towards Hilbert's tenth problem (the TODO in `Mathlib.NumberTheory.Dioph`), though the statement is independent of that.
🤖 These proofs were written with the assistance of Claude Opus 5 high and reviewed by GPT Sol 5.6 xhigh.
|
t-algebra
new-contributor
LLM-generated
label:t-algebra$ |
41/0 |
Mathlib/Algebra/MvPolynomial/Rename.lean |
1 |
3 |
['cameronfreer', 'github-actions'] |
nobody |
63-25925 2 months ago |
65-3328 65 days ago |
65-3873 65 days |
0 |
| 42178 |
cameronfreer author:cameronfreer |
feat(Computability/Primrec/List): add theorems showing that List.all, List.any and List.sum are primitive recursive |
Add the parameterized `list_all`, `list_any` and natural-number `list_sum`, in the style of the existing `list_map`, `list_foldr` and `list_findIdx`.
Mathlib already has a parameterized core, but no direct lemmas for these standard list operations, so downstream developments tend to reconstruct them from `list_foldr` at each use site. In the course of writing [cameronfreer/computable-analysis](https://github.com/cameronfreer/computable-analysis) I ended up needing this in three places, all of which can now make use of the results here instead (see [a6898b5](https://github.com/cameronfreer/computable-analysis/commit/a6898b5), in particular `Weihrauch/Principles/Limit.lean:117`, `TypeTwo/PrefixTable.lean:334,351,369`, and `Measure/DisintegrateLower.lean:877,902`).
:robot: These proofs were written with the assistance of Claude Opus 5 high and reviewed by GPT Sol 5.6 xhigh. |
t-computability
new-contributor
LLM-generated
|
21/1 |
Mathlib/Computability/Primrec/List.lean |
1 |
4 |
['cameronfreer', 'github-actions'] |
nobody |
63-25918 2 months ago |
65-45843 65 days ago |
65-45564 65 days |
0 |
| 42113 |
LAC1213 author:LAC1213 |
feat(RingTheory/Noetherian): injective modules over a Noetherian ring… |
… surject onto localizations by powers of an element. [Hartshorne III.3.3]
Disclaimer: I used Claude to help me find the names of useful lemmas and definitions and explain lean errors to me.
---
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For details on the "pull request lifecycle" in mathlib, please see:
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In particular, note that most reviewers will only notice your PR
if it passes the continuous integration checks.
Please ask for help on https://leanprover.zulipchat.com if needed.
When merging, all the commits will be squashed into a single commit
listing all co-authors.
Co-authors in the squash commit are gathered from two sources:
First, all authors of commits to this PR branch are included. Thus,
one way to add co-authors is to include at least one commit authored by
each co-author among the commits in the pull request. If necessary, you
may create empty commits to indicate co-authorship, using commands like so:
git commit --author="Author Name <author@email.com>" --allow-empty -m "add Author Name as coauthor"
Second, co-authors can also be listed in lines at the very bottom of
the commit message (that is, directly before the `---`) using the following format:
Co-authored-by: Author Name <author@email.com>
If you are moving or deleting declarations, please include these lines
at the bottom of the commit message (before the `---`, and also before
any "Co-authored-by" lines) using the following format:
Moves:
- Vector.* -> List.Vector.*
- ...
Deletions:
- Nat.bit1_add_bit1
- ...
Any other comments you want to keep out of the PR commit should go
below the `---`, and placed outside this HTML comment, or else they
will be invisible to reviewers.
If this PR depends on other PRs, please list them below this comment,
using the following format:
- [ ] depends on: #abc [optional extra text]
- [ ] depends on: #xyz [optional extra text]
-->
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
LLM-generated
|
114/0 |
Mathlib.lean,Mathlib/Algebra/Module/Torsion/Basic.lean,Mathlib/RingTheory/Noetherian/InjectiveModule.lean |
3 |
42 |
['LAC1213', 'NoahW314', 'github-actions', 'robin-carlier'] |
nobody |
60-81989 1 month ago |
66-30178 66 days ago |
66-54627 66 days |
0 |
| 42225 |
matt-w-horn author:matt-w-horn |
feat(Order): Knaster–Tarski fixed points on an interval |
`lfpIcc f a b` and `gfpIcc f a b`: least and greatest fixed points of `f` on `Set.Icc a b` in a conditionally complete lattice, for `f` monotone on the interval and mapping it into itself. Also interval membership, endpoint-iterate bounds, and monotonicity in `f`.
`OrderHom.lfp` gives this through the complete-lattice instance on the subtype, but wants a `Fact (a ≤ b)` and returns subtype elements. These take `MonotoneOn` and `MapsTo` directly and stay in `α`. Bridge lemmas between the two are a follow-up.
Used on intervals of ℝ in Overload, a sorry-free Lean library on retry and overload dynamics: https://github.com/matt-w-horn/overload/tree/main/Overload
Claude Fable wrote the Lean from a spec I gave it. I reviewed and tested it myself, including adversarial tests and the suites in the library above, and did the same for its dependencies.
Assisted-by: Claude Fable 5 |
t-order
new-contributor
LLM-generated
|
168/0 |
Mathlib.lean,Mathlib/Order/FixedPointsIcc.lean |
2 |
7 |
['github-actions', 'matt-w-horn', 'wwylele'] |
nobody |
58-66385 1 month ago |
59-75971 59 days ago |
59-75692 59 days |
0 |
| 42314 |
sfingali author:sfingali |
feat(RingTheory): continuous valuations |
### Summary
Defines continuous valuations on topological rings: a valuation `v : A → Γ₀`
whose underlying function is continuous for the order topology on `Γ₀`
(Wedhorn, *Adic Spaces*, arXiv:1910.05934, Def. 7.7 and Rem. 7.8(1), p. 58).
* `ContinuousValuationClass` — the class of continuous valuations: a
`ValuationClass` whose functions are continuous.
* `ContinuousValuation` — a bundled continuous valuation.
* `ContinuousValuation.isOpen_lt` — the primary definition of Wedhorn,
Def. 7.7: `{a | v a < γ}` is open for every `γ`.
This is the second step of an adic/perfectoid pipeline (Huber rings → Huber
pairs → continuous valuations → Spa → perfectoid → tilting); #42312 defines
Huber rings. The subspace `Cont(A) ⊆ Spv(A)` of continuous valuations
(Wedhorn, p. 58) will build on `ValuationSpectrum` once #38009 lands — this
PR provides the element-level notion, which is independent of the spectrum
topology.
### References
* T. Wedhorn, *Adic Spaces*, arXiv:1910.05934, Def. 7.7, Rem. 7.8 (p. 58).
|
t-ring-theory
new-contributor
|
99/0 |
Mathlib.lean,Mathlib/RingTheory/Valuation/ContinuousValuation.lean |
2 |
7 |
['github-actions', 'sfingali', 'wwylele'] |
nobody |
54-4479 1 month ago |
61-81700 61 days ago |
61-81967 61 days |
0 |
| 40741 |
AntoineduFresne author:AntoineduFresne |
feat(order): dilworth's and mirsky's theorems for finite orders |
I add Dilworth's theorem and its order dual, Mirsky's theorem, for finite subsets of a partial order, together with the order-theoretic lemmas they rest on.
A prior external formalization by Vlad Tsyrklevich is linked from `1000.yaml`; this is an independent `Finset`-based development using Galvin's proof, and I agreed the `1000.yaml` update with him.
I split the min-max content, as for Hall's marriage theorem, into a weak-duality inequality and a strong-duality existence of a matching pair, so I never define an extremal quantity over families of sets (no `Finset.min'` / `Finset.max'`):
- `dilworth` / `mirsky` — an antichain and a chain cover (resp. a chain and an antichain cover) of equal size;
- `antichain_le_chain_cover` / `chain_le_antichain_cover` — the weak-duality inequalities, for an arbitrary relation;
- `dilworth_partition` / `mirsky_partition` — the same with a pairwise-disjoint partition.
For Dilworth I use Galvin's induction (gluing step `chainCover_glue`); I avoid the König /
bipartite-matching route since König isn't in Mathlib yet (at least last time I checked). I prove Mirsky directly (peeling off minimal elements) rather than via `OrderDual`, since the direct induction seems simpler to me and the two proofs already share their foundations (the closure lemmas and the injective weak dualities).
Internally I work with an injection `f : α → Finset α` on the antichain rather than with the
`Finset (Finset α)` cover directly, so distinctness of the chains comes from the antichain property instead of a separate bookkeeping.
## Questions I'd like input on
1. Explicit min-max? I give weak duality plus a matching pair, from which "largest antichain = smallest chain cover" follows; I do not state that equality as a single theorem (doing so would, I think, mean defining the extremal quantities I wanted to avoid). Would you also like an explicit min-max statement?
2. Two layers of weak duality. I expose it twice: an injective form (`IsAntichain.exists_injOn_mem_chains`, over an arbitrary relation and an arbitrary index type, no finiteness) and a `Finset` cardinality form (`antichain_le_chain_cover`), the latter a one-line specialization of the former. I'm not sure whether exposing both is right, or whether one of them should be canonical. And is there appetite to push the general core to an `ℕ∞` / infinite version, or is the finite form the right scope here?
3. `[DecidableEq α]` on the main theorems. It comes only from writing the cover as
`s = 𝒞.biUnion id` (`Finset.biUnion` needs it); a membership-form coverage condition such as `∀ x, x ∈ s ↔ ∃ C ∈ 𝒞, x ∈ C` would drop the assumption, though it seems to me a bit less readable. Which do you prefer? (I think the injective-form weak dualities assume neither order, finiteness, nor `DecidableEq`.)
4. Naming. I use `C` / `A` for a chain / antichain and `𝒞` / `𝒜` for a chain / antichain cover (for hopefully obvious reason). Happy to change these if you would prefer something else.
## Open questions
- File placement (`Mathlib/Order/Dilworth.lean`?), and whether the general lemmas (the injective transversal and the weak dualities) should live in `Mathlib/Order/Antichain.lean` rather than in a new file.
The maximal-antichain closure lemma that was originally here has been split out into #42590.
Zulip: https://leanprover.zulipchat.com/#narrow/channel/113489-new-members/topic/Antoine.20du.20Fresne.20von.20Hohenesche/with/604112426
AI use: I worked out all proofs on paper first and most of the design structure of the file. I then used Claude Code (Claude Opus) to transcribe my paper proofs into Lean, weaken hypotheses, reduce redundancy, and fix comment typos.
|
t-order
new-contributor
LLM-generated
|
568/3 |
Mathlib.lean,Mathlib/Order/Dilworth.lean,docs/1000.yaml |
3 |
18 |
['AntoineduFresne', 'SnirBroshi', 'github-actions', 'tdwag123'] |
nobody |
53-45832 1 month ago |
53-46464 53 days ago |
105-54650 105 days |
0 |
| 42265 |
cameronfreer author:cameronfreer |
chore(RingTheory/PowerSeries): simplify coeff_inv_aux |
This replaces the hand-written `Finset.sum_nbij'` in `coeff_inv_aux` with `simp_rw` + `simp`, via `Finsupp.antidiagonal_single`, the same rewrite that `PowerSeries.coeff_mul` already uses.
:robot: Golfing target found by GPT Pro 5.6 Sol, initial version of code written by Opus 5 high, refined by GPT 5.6 Sol xhigh, then again by Opus 5 high following @felixpernegger's review suggestion. |
t-ring-theory
new-contributor
LLM-generated
|
2/19 |
Mathlib/RingTheory/PowerSeries/Inverse.lean |
1 |
8 |
['cameronfreer', 'felixpernegger', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
51-17786 1 month ago |
51-18486 51 days ago |
63-45617 63 days |
0 |
| 42718 |
justinhalford author:justinhalford |
feat(Combinatorics/SetFamily): the linear algebra method and the Oddtown theorem |
Adds the basic form of the **linear algebra method** for set families (Babai–Frankl) together with its standard first application, the **Oddtown theorem** (Berlekamp, 1969).
### What's here
- `linearIndependent_of_dotProduct_eq_ite` — a family of vectors whose pairwise dot products form the identity matrix is linearly independent. Stated over an arbitrary field, so it does not rely on positivity; this is the engine of the method.
- `Finset.charVec` — the characteristic vector of a finset, valued in a semiring, with `charVec_apply`.
- `Finset.charVec_dotProduct_charVec` — the dot product of two characteristic vectors is the cardinality of the intersection.
- `Finset.card_le_card_of_odd_card_of_even_card_inter` — **Oddtown**: a family of finsets of odd cardinality, any two of which meet in an even number of elements, has at most `Fintype.card α` members.
### Why
I could not find the linear algebra method anywhere in Mathlib. Searching for `Oddtown`, `Eventown`, Fisher's inequality, `RayChaudhuri` and `FranklWilson` returns nothing, and exactly one file under `Mathlib/Combinatorics/` uses `finrank`/`LinearIndependent` (`SimpleGraph/LapMatrix.lean`, for spectral graph theory). Since the technique underlies a large family of extremal results, the general lemma is stated separately from Oddtown so that Eventown, Fisher's inequality and Ray-Chaudhuri–Wilson can be added on top later.
If this does already exist under a formulation I did not think to search for, I would be glad to be pointed at it.
### Verification
Compiles against `master` (Lean 4.34.0-rc1) with no errors or warnings. `#print axioms` on each of the three results reports only `[propext, Classical.choice, Quot.sound]`. No `sorry`, no new axioms, no `set_option` overrides.
### Disclosure
This file was written with AI assistance (Claude Opus 5) and then checked against the Lean kernel; that is noted in the module docstring as well. Every statement, proof and docstring has been read through by me before submission. Happy to adjust naming, generality or placement to whatever the maintainers prefer.
### Process note
I am a first-time contributor and I am aware the usual convention is to raise a new file on Zulip before opening a PR. Apologies for going in the other order — I am glad to move the discussion to `#mathlib4` if that is preferred, or to close this if the material is not wanted.
---
[](https://gitpod.io/#https://github.com/leanprover-community/mathlib4)
|
t-combinatorics
new-contributor
|
144/0 |
Mathlib.lean,Mathlib/Combinatorics/SetFamily/Oddtown.lean |
2 |
3 |
['D-Thomine', 'github-actions'] |
nobody |
49-39783 1 month ago |
49-44267 49 days ago |
49-43988 49 days |
0 |
| 42343 |
brianrabern author:brianrabern |
feat(Combinatorics/SimpleGraph): extend a coloring to one more vertex |
Add `Colorable.of_induce_compl_singleton`: if deleting a vertex `v` leaves an `n`-colourable graph and `deg(v) < n`, then `G` itself is `n`-colourable.
This is a local colouring-extension / induction step (colour `G - v`, then assign `v` a free colour). It is useful for inductive arguments such as Brooks' theorem. The global greedy bound `χ ≤ Δ + 1` is developed separately in #38357.
AI assistance: LLM was used to smooth it out and put things in the expected style
---
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below the `---`, and placed outside this HTML comment, or else they
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-->
[](https://gitpod.io/from-referrer/) |
t-combinatorics
new-contributor
LLM-generated
|
35/0 |
Mathlib/Combinatorics/SimpleGraph/Coloring/Vertex.lean |
1 |
11 |
['Parcly-Taxel', 'SnirBroshi', 'bocowgill', 'brianrabern', 'github-actions'] |
nobody |
49-1745 1 month ago |
58-23178 58 days ago |
60-64419 60 days |
0 |
| 42788 |
andreylukin author:andreylukin |
feat(Combinatorics/Sperner): define facet incidence data |
## Summary
Adds a small finite facet-ridge incidence interface intended as a prerequisite for the general Sperner lemma (#25231).
- defines finite facets, ridges, and their incidence relation;
- assumes every ridge has one or two cofacets;
- defines boundary and interior ridges and proves that they are disjoint and partition the ridges.
This deliberately does not claim the geometric Sperner theorem. A future development must connect finite triangulations of the standard simplex to this incidence interface and establish the required coface-count property.
## Validation
- `lake build Mathlib.Combinatorics.Sperner.Basic`
- `lake env lean -DwarningAsError=false Mathlib.lean`
Towards #25231
|
t-combinatorics
new-contributor
|
117/0 |
Mathlib.lean,Mathlib/Combinatorics/Sperner/Basic.lean |
2 |
2 |
['github-actions'] |
nobody |
47-21249 1 month ago |
47-23944 47 days ago |
47-23785 47 days |
0 |
| 42758 |
cameronfreer author:cameronfreer |
feat(ModelTheory): add syntax and semantics for infinitary logic |
Add basic syntax and semantics for infinitary model theory of L∞ω (and Lω₁ω).
The new `BoundedFormulaInf L ι α n` uses index type `ι` for all of a formula's infinitary conjunctions and disjunctions, and the definitional
```lean
abbrev BoundedFormulaω (α : Type u') (n : ℕ) := L.BoundedFormulaInf ℕ α n
```
lands in exactly the universe of the finitary `BoundedFormula`, as suggested by @plp127 in [#mathlib4 > ModelTheory: API for infinitary formulas of L_{∞,ω} @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/ModelTheory.3A.20API.20for.20infinitary.20formulas.20of.20L_.7B.E2.88.9E.2C.CF.89.7D/near/613390601).
This PR contains `iSup`/`iInf` constructors, derived connectives together with `alls`/`exs`, `Realize` with `simp` lemmas for every constructor and derived connective, and the embedding `BoundedFormula.toInf` with `realize_toInf`.
I developed this with extensive assistance from several Claude and GPT models along with [lean4-skills](https://github.com/cameronfreer/lean4-skills) and [lean-lsp-mcp](https://github.com/oOo0oOo/lean-lsp-mcp) as part of the ongoing project [cameronfreer/infinitary-logic](https://github.com/cameronfreer/infinitary-logic/). |
t-logic
LLM-generated
new-contributor
|
446/0 |
Mathlib.lean,Mathlib/ModelTheory/Infinitary/Semantics.lean,Mathlib/ModelTheory/Infinitary/Syntax.lean,MathlibTest/InfinitarySyntax.lean |
4 |
4 |
['cameronfreer', 'github-actions'] |
nobody |
47-5887 1 month ago |
48-75188 48 days ago |
48-74909 48 days |
0 |
| 42540 |
shaikidris author:shaikidris |
feat(Combinatorics): asymptotic / natural density and linear-growth bridge |
Redefines asymptotic / natural density around a shared finite relative-density profile, instead of density along `SummationFilter`s.
* `Set.partialDensity S A b` — proportion of `A ∩ Iio b` in `S`
* `Set.lowerDensity` / `Set.upperDensity` — liminf / limsup of that profile
* `Set.HasDensity` — convergence of the profile; `Set.HasNaturalDensity` — `ℕ` case with `A = univ`
* Basic API: `[0,1]` bounds, empty/univ, finite sets have density `0`, `Finset.range` characterizations
* Drops the filter-parametric layer and the junk-valued `naturalDensity`
* Opt-in `Mathlib.Combinatorics.AsymptoticDensity.LinearGrowth`: exact lower/upper density equalities for the counting function `n ↦ #{x ∈ Finset.range n | x ∈ S}`, with no `LinearGrowth` dependency on the core density module
* Retargets the Schnirelmann TODO to this module; Schnirelmann-density comparison proofs are left for follow-up (the linear-growth bridge is proved here)
AI disclosure: this PR is primarily LLM-generated (OpenAI Codex). I reviewed the design (with review comments feedback), public APIs and edge-cases.
I primarily used these as part of my other project on quantitative descent and I think there is a merit in reusability.
---
---
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Co-authors in the squash commit are gathered from two sources:
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git commit --author="Author Name <author@email.com>" --allow-empty -m "add Author Name as coauthor"
Second, co-authors can also be listed in lines at the very bottom of
the commit message (that is, directly before the `---`) using the following format:
Co-authored-by: Author Name <author@email.com>
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at the bottom of the commit message (before the `---`, and also before
any "Co-authored-by" lines) using the following format:
Moves:
- Vector.* -> List.Vector.*
- ...
Deletions:
- Nat.bit1_add_bit1
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Any other comments you want to keep out of the PR commit should go
below the `---`, and placed outside this HTML comment, or else they
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- [ ] depends on: #xyz [optional extra text]
-->
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-combinatorics
LLM-generated
|
358/2 |
Mathlib.lean,Mathlib/Combinatorics/AsymptoticDensity.lean,Mathlib/Combinatorics/AsymptoticDensity/LinearGrowth.lean,Mathlib/Combinatorics/Schnirelmann.lean |
4 |
16 |
['D-Thomine', 'b-mehta', 'github-actions', 'jcommelin', 'mathlib-bors', 'shaikidris', 'wwylele'] |
nobody |
45-43645 1 month ago |
51-47355 51 days ago |
54-65268 54 days |
0 |
| 42365 |
hawkrobe author:hawkrobe |
feat(LinearAlgebra/TensorProduct): tensor product of graded modules is graded |
---
Split from #39849, also a first step toward the TODO in `LinearAlgebra/TensorProduct/Graded/Internal.lean` (the tensor product of graded algebras is graded.) I tried to model it after [AddMonoidAlgebra.gradeBy](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Algebra/MonoidAlgebra/Grading.html#AddMonoidAlgebra.gradeBy).
[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
158/0 |
Mathlib/Data/DFinsupp/Defs.lean,Mathlib/LinearAlgebra/TensorProduct/Decomposition.lean,Mathlib/LinearAlgebra/TensorProduct/Map.lean |
3 |
2 |
['github-actions'] |
nobody |
45-584 1 month ago |
45-10073 45 days ago |
60-3401 60 days |
2 |
| 42775 |
hawkrobe author:hawkrobe |
feat(RingTheory/HopfAlgebra): construct Hopf algebras from generators |
Upgrade a bialgebra to a Hopf algebra from antipode data on an algebra-generating set (`HopfAlgebra.ofGenerators`), plus the primitive-element form `HopfAlgebra.ofPrimitives`. Split out of #39841.
This looks more elegant using Sweedler notation (this proof was taken from a comment in #31898) but mathlib doesn't have the notation available as far as I know.
- [x] depends on: #39841 |
t-ring-theory
new-contributor
|
153/6 |
Mathlib.lean,Mathlib/RingTheory/HopfAlgebra/Generators.lean,Mathlib/RingTheory/HopfAlgebra/Primitive.lean |
3 |
3 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
44-45468 1 month ago |
45-58456 45 days ago |
45-73053 45 days |
1 |
| 43040 |
Qinghev author:Qinghev |
feat(Analysis/Convex): add center mass residual identity |
This adds `Finset.sum_smul_sub_centerMass_eq_zero`, stating that the weighted sum of displacements from a finite center of mass is zero whenever the total weight is nonzero.
---
Codex assisted with drafting and verification. |
t-analysis
new-contributor
|
5/0 |
Mathlib/Analysis/Convex/Combination.lean |
1 |
2 |
['github-actions'] |
nobody |
40-51969 1 month ago |
40-53126 40 days ago |
40-52847 40 days |
0 |
| 43144 |
gotrevor author:gotrevor |
doc(100-yaml): claim #53 (Pi is Transcendental) via an external Lean 4 formalization |
Adds `authors` + `links.result` to `docs/100.yaml` entry **53, "Pi is Transcendental"**, which
currently has a title and nothing else.
The formalization lives outside mathlib, in Lean 4:
[`PiTranscendental.lean`](https://github.com/gotrevor/lean-formalizations/blob/main/src/LeanFormalizations/NumberTheory/Transcendence/PiTranscendental.lean)
— `transcendental_pi_axiomClean : Transcendental ℚ Real.pi`, with
`#print axioms` = `[propext, Classical.choice, Quot.sound]` (re-verified 2026-08-25 against
mathlib v4.31.0). It builds the full Lindemann assembly on mathlib's own
`exp_polynomial_approx`: the analytic engine generalised to an arbitrary conjugate polynomial,
plus the algebraic half (symmetric functions over the Galois conjugates of `iπ`, via the
fundamental theorem of symmetric polynomials). `e_transcendental` is proved in the same chain.
No `decl` field, since that is for in-mathlib declarations and is existence-checked. `title` is
untouched. This follows the existing external-formalization entries: 8 (Compass), 24
(flypitch/CH), 31 (Ramsey), 36 (Brouwer), and 67 ("e is Transcendental").
`scripts/yaml_check.py docs/{100,1000,overview,undergrad}.yaml` exits 0.
### On #28013
[#28013](https://github.com/leanprover-community/mathlib4/pull/28013) (Lindemann–Weierstrass,
@astrainfinita) is open and active, and when it lands entry 53 should get a proper in-mathlib
`decl` — at which point this pointer has done its job and should be replaced or dropped. I am
not proposing this as an alternative to that work, and I would rather it landed than mine be
listed. This is only meant to record that a checkable Lean 4 proof exists in the meantime, which
is what `links.result` is for on the other five entries. Happy to close this if maintainers would
rather the entry stay empty until #28013 merges.
### Use of AI
The Lean development this points at was largely written by Claude working in long autonomous
sessions against a `lake build` + `#print axioms` gate, and two symmetric-function lemmas came
from Harmonic's Aristotle and were re-verified in the repository's own kernel; the repo's README
and commit history say so. This PR's four-line YAML diff was likewise drafted with Claude. I have
checked the axiom footprint myself and the linked file is machine-checked end to end.
|
LLM-generated
new-contributor
|
4/0 |
docs/100.yaml |
1 |
3 |
['github-actions', 'gotrevor'] |
nobody |
35-84195 1 month ago |
35-84777 35 days ago |
35-84498 35 days |
0 |
| 42353 |
sankalpsthakur author:sankalpsthakur |
feat(RingTheory): add nilpotence lemmas for zero sums |
In a commutative semiring, adds:
- `sq_eq_sq_of_add_eq_zero`: if `x + y = 0` then `x^2 = y^2`
- `IsNilpotent.of_add_eq_zero_left`: if `x + y = 0` and `y` is nilpotent, so is `x`
- `isNilpotent_iff_of_add_eq_zero`: under `x + y = 0`, `x` is nilpotent iff `y` is
Motivated by #10539.
### Validation
Built locally: `lake build Mathlib.RingTheory.Nilpotent.Basic` — succeeds.
Closes #10539
### AI/LLM disclosure
AI coding tools were used to help draft this change and PR description. I reviewed the complete change, understand the reasoning, and verified the build locally before submitting. |
t-ring-theory
new-contributor
LLM-generated
|
49/0 |
Mathlib/RingTheory/Nilpotent/Basic.lean |
1 |
27 |
['github-actions', 'sankalpsthakur', 'tb65536'] |
nobody |
35-38556 1 month ago |
36-54102 36 days ago |
42-61611 42 days |
0 |
| 42377 |
norbsvr author:norbsvr |
doc(1000.yaml): add Brauer's theorem on induced characters |
Claims a proof of [Q4958218:](https://www.wikidata.org/wiki/Q4958218) Brauer's theorem on induced characters.
The formalization is in an <a href="https://github.com/norbsvr/BrauerInduction/">external Lean 4 repository</a>. Please see file `README.md` for further information.
---
<!-- Your PR title will become the first line of the commit message.
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For details on the "pull request lifecycle" in mathlib, please see:
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if it passes the continuous integration checks.
Please ask for help on https://leanprover.zulipchat.com if needed.
When merging, all the commits will be squashed into a single commit
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Co-authors in the squash commit are gathered from two sources:
First, all authors of commits to this PR branch are included. Thus,
one way to add co-authors is to include at least one commit authored by
each co-author among the commits in the pull request. If necessary, you
may create empty commits to indicate co-authorship, using commands like so:
git commit --author="Author Name <author@email.com>" --allow-empty -m "add Author Name as coauthor"
Second, co-authors can also be listed in lines at the very bottom of
the commit message (that is, directly before the `---`) using the following format:
Co-authored-by: Author Name <author@email.com>
If you are moving or deleting declarations, please include these lines
at the bottom of the commit message (before the `---`, and also before
any "Co-authored-by" lines) using the following format:
Moves:
- Vector.* -> List.Vector.*
- ...
Deletions:
- Nat.bit1_add_bit1
- ...
Any other comments you want to keep out of the PR commit should go
below the `---`, and placed outside this HTML comment, or else they
will be invisible to reviewers.
If this PR depends on other PRs, please list them below this comment,
using the following format:
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- [ ] depends on: #xyz [optional extra text]
-->
[](https://gitpod.io/from-referrer/)
|
new-contributor |
3/0 |
docs/1000.yaml |
1 |
3 |
['github-actions'] |
nobody |
33-3662 1 month ago |
60-10480 60 days ago |
60-10201 60 days |
0 |
| 43231 |
E-M-Bailey author:E-M-Bailey |
feat(Analysis/Analytic): expand and update `AnalyticAt.comp_sub`-type theorems |
Adds `.comp_add` and biconditional versions of the `AnalyticAt.comp_sub`-type theorems. Also shortens the `.comp_sub` statements and simplifies a few of their proofs.
---
The purpose of this minor change, and in particular the biconditional versions, is to make it more convenient to shift power series. For example, I am currently working on a proof with a hypothesis of type `∀ᶠ w in 𝓝 z, ∀ i, AnalyticAt ℂ (f <| update w i ·) (w i)`, and I wanted to simplify the proof by assuming `z = 0`. This makes the `wlog` step shorter.
---
<!-- Your PR title will become the first line of the commit message.
In this box, the text above the `---` (if not empty) will be appended
to the commit message, and can be used to give additional context or
details. Please leave a blank newline before the `---`, otherwise GitHub
will format the text above it as a title.
For details on the "pull request lifecycle" in mathlib, please see:
https://leanprover-community.github.io/contribute/index.html
In particular, note that most reviewers will only notice your PR
if it passes the continuous integration checks.
Please ask for help on https://leanprover.zulipchat.com if needed.
When merging, all the commits will be squashed into a single commit
listing all co-authors.
Co-authors in the squash commit are gathered from two sources:
First, all authors of commits to this PR branch are included. Thus,
one way to add co-authors is to include at least one commit authored by
each co-author among the commits in the pull request. If necessary, you
may create empty commits to indicate co-authorship, using commands like so:
git commit --author="Author Name <author@email.com>" --allow-empty -m "add Author Name as coauthor"
Second, co-authors can also be listed in lines at the very bottom of
the commit message (that is, directly before the `---`) using the following format:
Co-authored-by: Author Name <author@email.com>
If you are moving or deleting declarations, please include these lines
at the bottom of the commit message (before the `---`, and also before
any "Co-authored-by" lines) using the following format:
Moves:
- Vector.* -> List.Vector.*
- ...
Deletions:
- Nat.bit1_add_bit1
- ...
Any other comments you want to keep out of the PR commit should go
below the `---`, and placed outside this HTML comment, or else they
will be invisible to reviewers.
If this PR depends on other PRs, please list them below this comment,
using the following format:
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- [ ] depends on: #xyz [optional extra text]
-->
[](https://gitpod.io/from-referrer/)
|
t-analysis
new-contributor
|
202/32 |
Mathlib/Analysis/Analytic/Basic.lean |
1 |
3 |
['github-actions'] |
nobody |
32-20976 1 month ago |
32-22392 32 days ago |
32-22196 32 days |
0 |
| 43196 |
danderson70-UNL author:danderson70-UNL |
doc: add Jacobi Four-Square proof to the list of 1000 theorems |
|
new-contributor |
3/0 |
docs/1000.yaml |
1 |
3 |
['github-actions'] |
nobody |
31-19859 1 month ago |
33-85806 33 days ago |
33-85527 33 days |
0 |
| 41904 |
rshlyakh author:rshlyakh |
feat(RingTheory/KrullDimension): add Krull dimension preservation under injective integral extensions |
This proves that an injective integral homomorphism of commutative rings
preserves Krull dimension, based on the `Algebra.HasGoingUp` infrastructure from #40911. It includes:
- `RingHom.IsIntegral.ringKrullDim_eq_of_injective`: injective integral homomorphisms of
commutative rings preserve Krull dimension.
- `RingHom.IsIntegral.ringKrullDim_quotient_ker_eq`: for an integral extension `f : A →+* B`,
the Krull dimension of `B` is equal to the Krull dimension of `A ⧸ RingHom.ker f`.
- [x] depends on: #40911
- [x] depends on: #41058
---
<!-- Your PR title will become the first line of the commit message.
In this box, the text above the `---` (if not empty) will be appended
to the commit message, and can be used to give additional context or
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For details on the "pull request lifecycle" in mathlib, please see:
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In particular, note that most reviewers will only notice your PR
if it passes the continuous integration checks.
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When merging, all the commits will be squashed into a single commit
listing all co-authors.
Co-authors in the squash commit are gathered from two sources:
First, all authors of commits to this PR branch are included. Thus,
one way to add co-authors is to include at least one commit authored by
each co-author among the commits in the pull request. If necessary, you
may create empty commits to indicate co-authorship, using commands like so:
git commit --author="Author Name <author@email.com>" --allow-empty -m "add Author Name as coauthor"
Second, co-authors can also be listed in lines at the very bottom of
the commit message (that is, directly before the `---`) using the following format:
Co-authored-by: Author Name <author@email.com>
If you are moving or deleting declarations, please include these lines
at the bottom of the commit message (before the `---`, and also before
any "Co-authored-by" lines) using the following format:
Moves:
- Vector.* -> List.Vector.*
- ...
Deletions:
- Nat.bit1_add_bit1
- ...
Any other comments you want to keep out of the PR commit should go
below the `---`, and placed outside this HTML comment, or else they
will be invisible to reviewers.
If this PR depends on other PRs, please list them below this comment,
using the following format:
- [ ] depends on: #abc [optional extra text]
- [ ] depends on: #xyz [optional extra text]
-->
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
|
77/12 |
Mathlib.lean,Mathlib/RingTheory/Ideal/HasGoingUp.lean,Mathlib/RingTheory/KrullDimension/Integral.lean |
3 |
14 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'rshlyakh', 'vlad902'] |
nobody |
30-70246 1 month ago |
47-83924 47 days ago |
74-57138 74 days |
1 |
| 42590 |
AntoineduFresne author:AntoineduFresne |
feat(Order/UpperLower/Closure): the upper and lower closures of a maximal antichain cover the order |
I add `IsMaxAntichain.upperClosure_union_lowerClosure`. It says that the upper and lower closures of a maximal antichain cover the whole order.
I put it right after `ordConnected_iff_upperClosure_inter_lowerClosure`, next to `upperClosure_inter_lowerClosure`, which seems the right spot.
The lemma is about antichains, so `Mathlib/Order/Antichain.lean` would have looked like the natural file to modify, but `upperClosure` is defined in `Mathlib/Order/UpperLower/Closure.lean`, which imports `Mathlib.Order.Interval.Set.OrdConnected`, which imports `Mathlib.Order.Antichain`. So to avoid an import loop I put it in `Closure.lean`.
I split this out of #40741, where a reviewer suggested it. Nothing in that PR uses the lemma.
|
t-order
new-contributor
|
13/0 |
Mathlib/Order/Antichain.lean,Mathlib/Order/UpperLower/Closure.lean |
2 |
12 |
['AntoineduFresne', 'Ruben-VandeVelde', 'SnirBroshi', 'github-actions', 'tdwag123'] |
nobody |
30-49484 1 month ago |
31-1544 31 days ago |
46-44700 46 days |
0 |
| 43128 |
dannyhe652 author:dannyhe652 |
feat(SimpleGraph/Coloring): add edge colorings and missing colors |
## Summary
This PR starts the edge-coloring API needed for Vizing's theorem.
It defines edge colorings as vertex colorings of the line graph, introduces edge
colorability and the chromatic index, and adds the basic local color-set API around a
vertex.
Main additions:
- `vizing.edgeColoring`
- `vizing.edgeColorable`
- `vizing.chromaticIndex`
- `vizing.incidentEdges`
- `vizing.incidentColors`
- `vizing.missingColors`
It also proves the basic cardinality estimates relating incident colors to vertex degree,
including that with more available colors than the degree, some color is missing at the
vertex.
This is the first PR in a stacked development toward Vizing's theorem.
## Co-authors
Co-authored-by: Daniel Raggi <dr495@cam.ac.uk>
Co-authored-by: Aristotle (Harmonic) <aristotle-harmonic@harmonic.fun>
Co-authored-by: Claude Opus 4.5 & 4.6 <noreply@anthropic.com>
---
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|
t-combinatorics
new-contributor
LLM-generated
|
271/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/EdgeColoring.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/KempeChain.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/KempeChain/Basic.lean |
4 |
6 |
['SnirBroshi', 'dannyhe652', 'github-actions'] |
nobody |
30-32579 1 month ago |
36-43081 36 days ago |
36-42898 36 days |
4 |
| 42468 |
Cobord author:Cobord |
feat: added lambda rings |
Description:
This does lambda rings. It is mostly over rationals so we can concern ourselves only with the psi^n operations and not the more complicated lambda^n operations. Doing the more general case could be another PR. This also includes the Getzler type formulation as the map involving Lambda_R the ring of symmetric functions in countably many variables (which again because R is assumed as [Algebra Q R] is described with it's power sum generators). That is to say the Plethystic action. Homomorphisms of such lambda rings are also covered. In particular, those of inclusions of subrings closed under those psi^n operations. In addition, one of the primary motivating examples of K(GL(n)/P) otimes_Z Q is described as such an instance to provide an example that is not Lambda_R.
This was done with Claude Code for generating initial versions but I had not given a good full prompt about prefering psi^n over lambda^n or using a structure instead of a prop in AdamsHom so I ended up rewriting most of those parts by hand anyway. The exception is the PrimeExtend file which is about only giving the psi^p instead of all of the psi^n, but abstracted away from those particular details per clarifying instructions after an initial version.
Because PrimeExtend is so much, this has a tag of
LLM-generated
In addition even though it is in RingTheory it is highly relevant to
t-combinatorics
in the sense of algebraic combinatorics due to use of ring of symmetric functions in countably many variables. |
t-ring-theory
new-contributor
t-combinatorics
LLM-generated
|
898/0 |
Mathlib.lean,Mathlib/RingTheory/LambdaRing/AdamsHom.lean,Mathlib/RingTheory/LambdaRing/AdamsOperations.lean,Mathlib/RingTheory/LambdaRing/KFlagExample.lean,Mathlib/RingTheory/LambdaRing/PrimeExtend.lean,Mathlib/RingTheory/LambdaRing/SymmetricFunctions.lean |
6 |
4 |
['Cobord', 'github-actions'] |
nobody |
29-81176 29 days ago |
52-20367 52 days ago |
52-20859 52 days |
0 |
| 42912 |
justin-palumbo author:justin-palumbo |
feat(Topology/GDelta): a completely metrizable subspace of a T6 space is Gδ |
Adds TopologicalSpace.IsCompletelyMetrizableSpace.isGδ: a completely metrizable subspace of a T6 space is Gδ
This is one direction of a foundational fact in descriptive set theory --- the Polish subspaces of a Polish space are exactly the Gδ subsets.
The proof here is modeled on the exposition in Anush Tserunyan's descriptive set theory notes https://www.math.mcgill.ca/atserunyan/Teaching_notes/dst_lectures.pdf, with one adjustment; to make the formalization easier and avoid having multiple distance metrics instantiated at the same time, instead of directly defining open `U_n` with `s = ⋂ n, U` define them such that `s = closure s ∩ ⋂ n, U n` and then appeal to the fact closed sets are Gδ in a perfectly normal space.
---
- [x] depends on: #42896 [which fixes buggy naming present in Topology/Metrizable/CompletelyMetrizable]
This can be viewed as a companion to #42693, which - under the stronger assumption of the ambient space being Polish - establishes the other direction --- a Gδ subspace of a Polish space is itself Polish.
Together, these give Alexandrov's theorem, characterizing the Polish subspaces of an ambient Polish space as exactly the Gδ ones, and (via `Metric.PiNatEmbed.exists_embedding_to_hilbert_cube`) Polish spaces as exactly the Gδ subsets of the Hilbert cube. If and when both these PRs are committed, I anticipate adding these consequences to Topology/MetricSpace/Polish.lean
LLM usage: I wrote the initial version myself, while using Google's free "AI mode" to help me find relevant lemma names in the codebase, and afterward used helped Claude Opus to review, which led to simplifying some of the arguments. I take full responsibility for the code here
|
t-topology
new-contributor
|
91/0 |
Mathlib.lean,Mathlib/Topology/GDelta/CompletelyMetrizable.lean |
2 |
8 |
['github-actions', 'justin-palumbo', 'mathlib-dependent-issues', 'plp127'] |
nobody |
29-9702 29 days ago |
43-33800 43 days ago |
43-33818 43 days |
0 |
| 42914 |
lman310 author:lman310 |
feat(Algebra): add zpow_right_injective |
Add `zpow_right_injective`, stating that for a nontrivial element `a` of a
multiplicatively torsion free group, the map `n : ℤ ↦ a ^ n` is injective,
as well as the corresponding additive theorem `zsmul_left_injective` using
`to_additive`
Use the new additive theorem in `CharZero.of_isAddTorsionFree`, replacing its
dependency on the general `smul_left_injective`. This allows
`CharZero.of_isAddTorsionFree` to move from
`Mathlib.Algebra.Module.Torsion.Free` to the earlier
`Mathlib.Algebra.Module.NatInt`, resolving the existing TODO
---
Codex was used to find the appropriate file `Mathlib.Algebra.Module.NatInt` for moving `CharZero.of_isAddTorsionFree`
---
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|
t-algebra
new-contributor
label:t-algebra$ |
25/14 |
Mathlib/Algebra/Group/Torsion.lean,Mathlib/Algebra/Module/NatInt.lean,Mathlib/Algebra/Module/Torsion/Free.lean |
3 |
14 |
['felixpernegger', 'github-actions', 'lman310', 'mathlib-merge-conflicts', 'themathqueen'] |
nobody |
29-3621 29 days ago |
29-6834 29 days ago |
40-29805 40 days |
0 |
| 43087 |
JX-Mo author:JX-Mo |
feat(RepresentationTheory): add Hecke/Basic.lean |
This file defines `HeckeModule` of a representation `ρ` as `Hom_G(k[G ⧸ H], ρ)` and identifies it
with the space of `H`-invariants. |
new-contributor
t-algebra
label:t-algebra$ |
87/0 |
Mathlib.lean,Mathlib/RepresentationTheory/Hecke/Basic.lean |
2 |
8 |
['JX-Mo', 'Whysoserioushah', 'github-actions'] |
nobody |
27-52631 27 days ago |
38-29574 38 days ago |
38-29397 38 days |
0 |
| 41729 |
vaca22 author:vaca22 |
feat(RingTheory/DedekindDomain): add divisor group core |
Add the divisor group of a Dedekind domain as a formal-sum model, together with the additive equivalence to the multiplicative group of nonzero fractional ideals.
**Relation to what Mathlib already has.** As pointed out on Zulip, Mathlib already knows that fractional ideals factor: `FractionalIdeal.count` gives the exponent of a height-one prime, and `ClassGroup` is built from fractional ideals directly. This PR does not re-prove any of that — it reuses `count` and `finite_factors` verbatim. What it adds is the *additive* packaging:
* `IsDedekindDomain.Divisor R := HeightOneSpectrum R →₀ ℤ`, so a divisor is a finitely supported integer-valued function and one can write `D₁ + D₂`, `-D`, `D v`, and use the whole `Finsupp` API (`support`, `sum`, induction on the support);
* `FractionalIdeal.divisorEquiv`, an `AddEquiv` from `(FractionalIdeal R⁰ K)ˣ` to `Divisor R`, turning ideal multiplication into divisor addition.
The multiplicative view is the right one for the class group; the additive one is what divisor-theoretic arguments are written in, where one constantly forms `D - D'`, compares coefficients prime by prime, and does induction over `D.support`. Having both, related by a single `AddEquiv`, means neither side has to be re-derived.
**Downstream use.** This is the bottom layer of a formalization of Riemann–Roch for algebraic function fields (announced in `#AI authored projects > Riemann–Roch for function fields`): `L(D)`, `deg D`, and the statement `ℓ(D) = deg D + 1 - g + ℓ(W - D)` are all phrased in terms of additive divisors, and the degree map is defined by summing coefficients over `D.support`.
Happy to reshape the API — in particular whether `Divisor` should be an `abbrev` or a structure, and whether this belongs next to `Factorization` rather than in its own file.
AI usage: LLM-generated, disclosed per the AI policy.
|
t-ring-theory
new-contributor
LLM-generated
|
100/0 |
Mathlib.lean,Mathlib/RingTheory/DedekindDomain/Divisor.lean |
2 |
4 |
['github-actions', 'grunweg', 'vaca22'] |
nobody |
26-25681 26 days ago |
77-585 77 days ago |
78-83909 78 days |
0 |
| 43577 |
javgomzar author:javgomzar |
chore(Order/BooleanAlgebra): Add push tags |
Add push tags to some lemmas in Mathlib/Order/BooleanAlgebra/Set.lean
---
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|
t-order
new-contributor
|
19/4 |
Mathlib/Order/BooleanAlgebra/Set.lean |
1 |
3 |
['github-actions'] |
nobody |
23-22283 23 days ago |
23-27317 23 days ago |
23-30901 23 days |
0 |
| 43599 |
fjvga author:fjvga |
feat(MeasureTheory/Measure/FrostmanMassBound): mass distribution principle |
If a measure ν satisfies ν s ≤ (ediam s)^d for all sets of diameter ≤ ε, and ν A ≠ 0, then d ≤ dimH A. This is the standard mass distribution principle (Frostman, easy direction) appearing in every fractal geometry textbook (Falconer §4.1, Mattila §4.9).
The proof composes two existing Mathlib results:
- Measure.le_hausdorffMeasure
- le_dimH_of_hausdorffMeasure_ne_zero
References:
- K. Falconer, Fractal Geometry, §4.1
- P. Mattila, Geometry of Sets and Measures in Euclidean Spaces, §4.9
---
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|
t-measure-probability
new-contributor
|
68/0 |
Mathlib.lean,Mathlib/MeasureTheory/Measure/FrostmanMassBound.lean |
2 |
4 |
['github-actions', 'metakunt'] |
nobody |
22-52236 22 days ago |
22-63994 22 days ago |
22-64521 22 days |
0 |
| 43346 |
JadAbouHawili author:JadAbouHawili |
feat(Combinatorics/SimpleGraph/Connectivity): change IsEdgeReachable and IsEdgeConnected to accept ENat instead of Nat |
---
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|
new-contributor
t-combinatorics
|
28/6 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/EdgeConnectivity.lean |
2 |
35 |
['JadAbouHawili', 'SnirBroshi', 'github-actions'] |
nobody |
22-24246 22 days ago |
24-44973 24 days ago |
28-72268 28 days |
0 |
| 43607 |
Whning0513 author:Whning0513 |
chore(Data/Set/Semiring): add simp attributes |
Mark `up_le_up` and `up_lt_up` with `@[simp]`, as requested by the existing TODO.
--------
Tests:
- `lake env lean Mathlib/Data/Set/Semiring.lean`
- `lake build Mathlib.Data.Set.Semiring`
- `lake exe runLinter Mathlib.Data.Set.Semiring` |
t-data
new-contributor
|
2/1 |
Mathlib/Data/Set/Semiring.lean |
1 |
6 |
['LLaurance', 'Whning0513', 'copilot-pull-request-reviewer', 'github-actions', 'grunweg', 'leanprover-radar'] |
nobody |
21-56540 21 days ago |
22-46709 22 days ago |
22-46430 22 days |
0 |
| 43642 |
b1de0 author:b1de0 |
feat(MeasureTheory/Measure/ResolventTransform): finite moment expansion |
Add a finite moment expansion of `resolventTransform` with an exact integral remainder, assuming integrable moments and a nonzero evaluation point outside the support image.
---
I need this to relate matched moments to errors in kernels of the form `∫ u, (1 + w * u)⁻¹ ∂μ`. The identity is finite and does not require convergence of the corresponding infinite geometric series.
|
t-measure-probability
new-contributor
|
52/0 |
Mathlib/MeasureTheory/Measure/ResolventTransform.lean |
1 |
2 |
['github-actions'] |
nobody |
21-51040 21 days ago |
21-51748 21 days ago |
21-51580 21 days |
0 |
| 38223 |
Deicyde author:Deicyde |
feat(Geometry/Manifold): add `MfldCat`, the category of `C^n` manifolds |
Defines `MfldCat 𝕜 n`: the category of `C^n` manifolds over a field `𝕜`, in which the model with corners is allowed to vary between objects. An object bundles a model vector space `E`, a model space `H`, a model with corners `I : ModelWithCorners 𝕜 E H` and a term of `ModelWithCorners.MfldCat I n`--see #41109. This includes manifolds with boundary / corners.
For more discussion see this Zulip thread: [#PR reviews > #38223 The Category of C^n Manifolds](https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/.2338223.20The.20Category.20of.20C.5En.20Manifolds/with/587038032)
Also added: `ContMDiffMap.id_apply`, `.coe_id` and `.coe_comp` which are comparable to `ContinuousMap` API.
### Future work
- ✅ Define a Monoidal structure via product manifolds, analogous to `Manifold.Topology.Category.TopCat.Monoidal` #38560
- ✅ Define the tangent functor: `M ↦ TM`, `F ↦ F.tangentMap` from `MfldCat (n+1) 𝕜` to `MfldCat n 𝕜` #38270
- Functor `FGModuleCat 𝕜 ⥤ MfldCat 𝕜 n` sending a finite-dimensional `𝕜`-vector space to the manifold modeled on itself. Left as `TODO`.
- Define `FGModuleCat 𝕜` as an enriched category over `MfldCat n 𝕜`. Then _smooth functors_ can be realized as endofunctors on the enriched category. This is the main motivation for this construction.
---
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- ...
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- Nat.bit1_add_bit1
- ...
Any other comments you want to keep out of the PR commit should go
below the `---`, and placed outside this HTML comment, or else they
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If this PR depends on other PRs, please list them below this comment,
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- [ ] depends on: #xyz [optional extra text]
-->
- [x] depends on: #41109 [The category of `C^n` manifolds on a fixed model]
[](https://gitpod.io/from-referrer/)
|
t-differential-geometry
new-contributor
t-category-theory
|
210/0 |
Mathlib.lean,Mathlib/Geometry/Manifold/Category/MfldCat/Basic.lean,Mathlib/Geometry/Manifold/ContMDiffMap.lean |
3 |
63 |
['Deicyde', 'chrisflav', 'dagurtomas', 'github-actions', 'idontgetoutmuch', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'peabrainiac'] |
joelriou assignee:joelriou |
21-37235 21 days ago |
21-38113 21 days ago |
80-78073 80 days |
2 |
| 43672 |
javgomzar author:javgomzar |
chore(LinearAlgebra/Matrix): add push tags to transpose lemmas |
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
6/5 |
Mathlib/LinearAlgebra/Matrix/Defs.lean |
1 |
3 |
['github-actions'] |
nobody |
21-27639 21 days ago |
21-30173 21 days ago |
21-29894 21 days |
0 |
| 42424 |
lydia-schiff author:lydia-schiff |
feat(Order/Partition/Finpartition): transport a set partition along a type equivalence |
- Adds `Finpartition.congr` to transport a `Finpartition` along a type equivalence.
- We can use `Finpartition.map` if we have an order-iso, and the equivalence induces one via the new `Finset.congrOrderIso` which is based on `Equiv.finsetCongr`.
- Includes parts, card, refl, and round-trip lemmas.
---
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- `Equiv.finsetCongr` already gives us an equivalence of Finsets, so the new `Finset.congrOrderIso` just adds that the power-set lattice structure is also preserved.
- Includes lemmas showing that the parts are e-images of the old ones, card is preserved, and refl + round-trip for the equivalence.
- The cardinality lemma was the original motivation from some work on Stirling numbers, but I thought that `Finpartition.congr` and `Finset.congrOrderIso` seemed reusable and hopefully useful in their own right, and thought it would make a good first contribution.
- Zulip thread about naming and placement [here](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/.60Finpartition.2Econgr.60.20.E2.80.94.20naming.20.26.20placement)
- I used Claude Opus 4.8 to help draft the proofs and explore the API. I have spent several weeks making sure I understand and can justify every line and I've learned a lot which is great.
[](https://gitpod.io/from-referrer/)
|
t-order
LLM-generated
new-contributor
|
61/0 |
Mathlib/Data/Finset/Image.lean,Mathlib/Order/Partition/Finpartition.lean |
2 |
6 |
['github-actions', 'lydia-schiff', 'mathlib-merge-conflicts'] |
nobody |
21-10796 21 days ago |
21-15253 21 days ago |
47-85936 47 days |
0 |
| 41523 |
Harmenszoon author:Harmenszoon |
feat(Analysis/SpecialFunctions): add the Chase-Lovett diagonal reduction for binEntropy |
This PR adds the two-variable entropy inequality of Chase and Lovett ([arXiv:2211.11689](https://arxiv.org/abs/2211.11689), Lemma 2.2): for `x, y ∈ [0, 1]`,
```
x * binEntropy y + y * binEntropy x ≤ 2 * sqrt (x * y) * binEntropy (sqrt (x * y))
```
in a new leaf file `Mathlib/Analysis/SpecialFunctions/BinaryEntropy/Diagonal.lean`, together with its `negMulLog (1 - ·)` half (`Real.mul_negMulLog_one_sub_add_le`) and a `private` concavity layer for the comparison function `η u = exp u * negMulLog (1 - exp (-u))`. Two entries are added to `docs/references.bib` (Chase–Lovett arXiv:2211.11689, Boppana arXiv:2301.09664).
**Motivation.** This inequality is the reusable reduction step behind the recent entropic lower bounds for Frankl's union-closed sets conjecture (Gilmer; Alweiss–Huang–Sellke; Chase–Lovett; Sawin; Boppana): it reduces two-variable inequalities of Boppana type `K * (x * h y + y * h x) ≤ h (x * y)` to one-variable inequalities `2 * K * t * h t ≤ h (t ^ 2)`. `Mathlib/Analysis/SpecialFunctions/BinaryEntropy.lean` currently contains calculus basics for `binEntropy` only, and no inequality of this family; I checked current master for collisions before opening this. A kernel-checked downstream application — a complete Lean formalization of the union-closed lower bound at the constant `(3 - √5)/2` that uses exactly this reduction — is public at https://github.com/demonstrandum-research/artifacts (the `UCFrankl` development), which I maintain.
**Proof shape** (one page of calculus): substituting `x = exp (-u)`, the inequality becomes midpoint concavity of `η` on `[0, ∞)`; the `negMulLog (x * y)` parts of the two sides cancel exactly, the `negMulLog (1 - ·)` parts transfer to `η` via the identity `x * η (-log x) = negMulLog (1 - x)`, and `η'' ≤ 0` reduces to `log t ≤ t - 1`. Stating `η` through `negMulLog` absorbs the `0 * log 0` boundary behaviour, so no separate edge-case argument is needed at `x = 1`.
**Design notes / open questions for reviewers.**
- Hypotheses are stated as `0 ≤ x`/`x ≤ 1` pairs rather than `x ∈ Set.Icc 0 1`; happy to convert if the membership form is preferred.
- The `η`-machinery is `private`; it could be exposed if judged independently useful.
- File placement: a new `BinaryEntropy/Diagonal.lean` leaf keeps the import footprint of `BinaryEntropy.lean` unchanged (the proof needs `Analysis.Convex.Deriv`); merging into the main file is also possible if preferred.
- Naming: `mul_binEntropy_add_mul_binEntropy_le` / `mul_negMulLog_one_sub_add_le` follow the conclusion-based convention but I am glad to rename.
**AI disclosure** (per the [mathlib AI policy](https://leanprover-community.github.io/contribute/index.html)): the Lean code in this PR was generated by LLM agents (Anthropic's Claude, running in an agent pipeline that I operate under the name Demonstrandum), and was then compile-verified against mathlib and reviewed by me. This PR description was also prepared with AI assistance and reviewed by me. The proof is elementary calculus as summarized above; I understand it and take full responsibility for the contribution. I am adding the `LLM-generated` label as required. The downstream `UCFrankl` development linked above (kernel-checked, axioms `[propext, Classical.choice, Quot.sound]` only) is the evidence that the lemma carries real weight in applications.
---
- [x] depends on: nothing
|
t-analysis
LLM-generated
new-contributor
|
227/0 |
Mathlib.lean,Mathlib/Analysis/SpecialFunctions/BinaryEntropy/Diagonal.lean,docs/references.bib |
3 |
5 |
['Harmenszoon', 'Timeroot', 'github-actions'] |
nobody |
20-76115 20 days ago |
84-64919 84 days ago |
84-64640 84 days |
0 |
| 43621 |
Whning0513 author:Whning0513 |
feat(Data/List): add basic API for toChunks |
Adds basic API lemmas for `List.toChunks`: flattening recovers the input, chunks are nonempty sublists, and their lengths are bounded by the chunk size.
This addresses the `Data/List/Basic: SP: toChunks` item in #7987.
Tests:
- `lake env lean Mathlib/Data/List/ToChunks.lean`
- `lake build Mathlib.Data.List.ToChunks`
- `lake exe runLinter Mathlib.Data.List.ToChunks`
AI use: OpenAI Codex was used to rebase the branch, run the checks above, and submit this pull request. The code and proofs were written and reviewed by the author. |
t-data
new-contributor
|
119/0 |
Mathlib.lean,Mathlib/Data/List/ToChunks.lean |
2 |
8 |
['copilot-pull-request-reviewer', 'github-actions', 'theebayuser'] |
nobody |
20-61835 20 days ago |
22-31665 22 days ago |
22-31386 22 days |
0 |
| 40050 |
ReemMelamed author:ReemMelamed |
feat(Algebra/Group/GreensRelations): add definitions for Green's relations |
This PR introduces the foundational definitions for Green's relations (L, R, H, D, and J) on semigroups.
This is the first in a series of PRs aimed at formalizing Green's relations for semigroups.
[Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Formalization.20of.20Green.27s.20Relations.20for.20semigroups/with/598557876)
---
- [x] depends on: #40843
|
t-algebra
new-contributor
label:t-algebra$ |
505/0 |
Mathlib.lean,Mathlib/Algebra/Group/GreensRelations/Basic.lean |
2 |
33 |
['ReemMelamed', 'YaelDillies', 'YanYablonovskiy', 'github-actions', 'mathlib-bors', 'mathlib-dependent-issues'] |
nobody |
20-40196 20 days ago |
20-40962 20 days ago |
40-31833 40 days |
1 |
| 43702 |
theebayuser author:theebayuser |
feat(LinearAlgebra/AffineSpace): add Varignon's theorem |
Hello, this PR introduces Varignon's theorem.
Varignon's theorem states that the midpoints of the sides of a quadrilateral form a parallelogram. More precisely, `midpoint_midpoint_midpoint_rotate` states: the two diagonals of the midpoint quadrilateral have the same midpoint.
This PR was written with AI assistance (Claude Code)
|
t-algebra
new-contributor
LLM-generated
label:t-algebra$ |
22/2 |
Mathlib/LinearAlgebra/AffineSpace/Midpoint.lean,docs/1000.yaml |
2 |
7 |
['github-actions', 'theebayuser', 'wwylele'] |
nobody |
20-21213 20 days ago |
20-67285 20 days ago |
20-67006 20 days |
0 |
| 42313 |
deancureton author:deancureton |
feat(RingTheory): embDomain composition and range, Laurent series expansion |
Add to the Hahn series API:
- `embDomain_embDomain` (composition of domain embeddings)
- `mem_range_embDomain_iff` (range of `embDomain` is characterized by support containment)
Add to the Laurent series API:
- the expansion ring endomorphism `LaurentSeries.expand` with its monomial and `orderTop` lemmas
- follows the pattern of `Polynomial.expand`, `MvPolynomial.expand`, `PowerSeries.expand`
- its opposite `LaurentSeries.contract`, with the decomposition of a Laurent series by exponent residues mod `n` (`sum_single_mul_expand_contract`) and its uniqueness (`contract_eq_of_sum_eq`)
- `exists_ofPowerSeries_eq_of_orderTop_nonneg`
This is the first of a series of PRs formalizing Puiseux series and Puiseux's theorem (entry 41 of Freek Wiedijk's 100 theorems list). |
t-ring-theory
new-contributor
LLM-generated
|
116/0 |
Mathlib/RingTheory/HahnSeries/Basic.lean,Mathlib/RingTheory/LaurentSeries.lean |
2 |
16 |
['deancureton', 'github-actions', 'wwylele'] |
nobody |
20-14570 20 days ago |
49-80215 49 days ago |
61-83671 61 days |
0 |
| 41241 |
intgrah author:intgrah |
feat(Order/Category): cartesian closed and distributive structure on PartOrd and Preord |
Give `PartOrd` and `Preord` `CartesianMonoidalCategory`, `MonoidalClosed`, and `IsCartesianDistributive` instances.
---
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In particular, note that most reviewers will only notice your PR
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Co-authors in the squash commit are gathered from two sources:
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Co-authored-by: Author Name <author@email.com>
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at the bottom of the commit message (before the `---`, and also before
any "Co-authored-by" lines) using the following format:
Moves:
- Vector.* -> List.Vector.*
- ...
Deletions:
- Nat.bit1_add_bit1
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-order
|
267/0 |
Mathlib.lean,Mathlib/Order/Category/PartOrd/CartesianClosed.lean,Mathlib/Order/Category/PartOrd/Colimits.lean,Mathlib/Order/Category/PartOrd/Reflective.lean,Mathlib/Order/Category/Preord/CartesianClosed.lean,Mathlib/Order/Category/Preord/Colimits.lean,Mathlib/Order/Category/Preord/Reflective.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean |
8 |
7 |
['github-actions', 'intgrah', 'thomaskwaring'] |
nobody |
20-13512 20 days ago |
21-81793 21 days ago |
92-31342 92 days |
0 |
| 42461 |
Ganton23 author:Ganton23 |
feat(Probability/Quantile): the lower quantile function of a real cdf |
This adds `ProbabilityTheory.lowerQuantile`, the lower quantile function
(the generalized inverse of a cdf-like monotone function on ℝ), with the
order core, the Galois connection under right-continuity, the plug-in
identity, left-continuity in the level, uniqueness, equivariance under
order isomorphisms, and the specialization to `cdf μ` where both standing
side conditions become theorems.
---
This adds the LOWER QUANTILE FUNCTION, that is the generalized inverse of a cdf-like
monotone function on `ℝ`, in a new file `Mathlib/Probability/Quantile.lean` beside
`Mathlib/Probability/CDF.lean`.
### What it adds
`ProbabilityTheory.quantileSet F p = {x | p ≤ F x}` and
`ProbabilityTheory.lowerQuantile F p = sInf (quantileSet F p)`, with:
* the order core: monotonicity in the level, and the two `csInf` bounds;
* attainment `p ≤ F (lowerQuantile F p)` under monotonicity and right continuity;
* the Galois connection `lowerQuantile F p ≤ x ↔ p ≤ F x`, and its strict form;
* the plug-in identity `F (lowerQuantile F p) = p` under continuity;
* left continuity of the quantile in the level;
* uniqueness under strict monotonicity, and existence on an interval via the IVT;
* equivariance under an `OrderIso ℝ ℝ`, in both functional and pushforward form;
* the specialization to `cdf μ` for a probability measure at `0 < p < 1`, where both
standing side conditions become theorems.
### Why
`sInf` of an empty or unbounded-below set is Lean's junk value `0`. A quantile lemma
stated without `Set.Nonempty` and `BddBelow` is therefore either false or accidentally
true of the junk value, and a reader cannot tell which. Every general lemma here carries
both by name, and the cdf section discharges both from the limits of the cdf at `atBot`
and `atTop`. That discharge is what makes the general statements non-vacuous.
Three lemmas record that the continuity hypotheses are load bearing, stated as
`¬ ∀ ...` rather than as existentials. An existential says a bad case exists; the negated
universal says the weakened lemma is FALSE, which is what a reader asking "is this
hypothesis decorative" actually wants. The witness is a monotone step function that is
left continuous at its jump: monotone, bounded, well behaved quantile set, and not right
continuous, which alone breaks attainment, the forward half of the adjunction, and the
plug-in identity.
`not_galoisConnection_lowerQuantile_cdf` is included deliberately as a NEGATIVE result.
The bundled `GaloisConnection` packaging quantifies over all levels, and a cdf has an
unbounded quantile set at level `0` and an empty one at level `2`, so the bundled
conclusion is false for every probability measure. Reaching the cdf case would need the
level indexed by the open unit interval as a subtype. I would rather state that boundary
than let a reader discover it.
### What it depends on
`Mathlib.Probability.CDF` for the cdf and its monotonicity and limits;
`Mathlib.Topology.Order.IntermediateValue`; `Mathlib.Topology.Order.MonotoneContinuity`;
`Mathlib.Order.ConditionallyCompleteLattice.Indexed`. No new axioms: every declaration
reports exactly `propext`, `Classical.choice`, `Quot.sound`.
### Prior art, named because a reviewer will find it
`Mathlib/Order/SemiconjSup.lean` defines `IsOrderRightAdjoint f g := ∀ y, IsLUB
{x | f x ≤ y} (g y)`, built by `isOrderRightAdjoint_csSup` as a supremum over a
SUB-level set. That is the order-dual construction, the UPPER generalized inverse; the
two functions are different and neither definition unfolds to the other. Its file is
about circle homeomorphisms, which is why searching for "quantile" does not find it.
`GaloisConnection` is used rather than reinvented.
There is no existing `quantile` in mathlib: zero case-insensitive hits across the tree.
`median` exists but is the median of a simplex in affine geometry, a different word in a
different subject.
### Generality, stated rather than left to review
Everything is at `F : ℝ → ℝ`. Running mathlib's environment linters locally flagged
`[IsProbabilityMeasure μ]` as unused in nine cdf-facing declarations. Five (the two
side-condition dischargers and the three negative results) are generalized: they now
hold for the cdf of any measure, since the cdf's limit lemmas hold unconditionally.
Four convenience wrappers (`lowerQuantile_cdf_le_iff`, `lowerQuantile_cdf_mono`,
`le_cdf_lowerQuantile`, `continuousWithinAt_lowerQuantile_cdf_Iic`) KEEP the instance
under `@[nolint unusedArguments]`, deliberately: for a non-probability measure,
`cdf μ` is a normalizing construction, so the generalized statements would be
accidentally true of the construction rather than of the object the name suggests,
which is the failure mode the Why section above exists to avoid. If reviewers prefer
the fully general forms, I am happy to drop the instances; the proofs do not use
them. Two declarations (`cdf_map_orderIso`, `lowerQuantile_cdf_map`) consume the
instance and keep it.
The ORDER CORE generalizes to a `ConditionallyCompleteLinearOrder` domain with a
`Preorder` codomain with proof terms UNCHANGED, and I have checked that rather than
assumed it. Two caveats found while checking, which is why I would rather do it as a
follow-up than fold it in here:
* `apply_lt_of_lt_lowerQuantile` needs a LINEAR codomain, since it goes from
`¬ (p ≤ F x)` to `F x < p`.
* `exists_apply_lt_of_bddBelow` is FALSE without `NoMinOrder` on the domain. Over `ℝ` it
is proved by exhibiting `b - 1`; on a domain with a least element, a constant `F` at
level `p` has a quantile set that is everything, is bounded below, and has no point
with `F a < p`.
The TOPOLOGICAL layer does not transcribe: `tendsto_lowerQuantile_nhdsLT` takes the
midpoint `(c + q) / 2`, which uses the field structure, and a general version needs
`DenselyOrdered`. Happy to do the generalization in a follow-up, or in this PR if a
reviewer prefers it landed general the first time.
### Open, and not claimed
The UPPER quantile and the lemmas relating the two; the probability integral transform;
`Measure.map` along a general measurable monotone function rather than an order
isomorphism; and a `GaloisConnection` packaging indexed by the open unit interval that
would reach the cdf case.
### AI disclosure
- Lean definitions and proofs generated with the assistance of AI agents (Utilized Anthropic's Claude, operating through Claude Code). Done over numerous working sessions wherein I, Gabriel Anton, directed, reviewed and authorized each session.
- Every declaration is kernel-checked; Zero sorry, and everyone of the 48 submitted declarations reports exactly [Propext, Classical.choice, Quot.sound] under transitive #print axioms; clean lake build against current master.
-Ran aggressive adversarial review process on each agents work with a separate agent; A hostile-reviewer pass, refutation lemmas proving the hypotheses are load bearing, and a certified negative result for the packaging that does not work. The corrections forced by this process are in the file and history.
- Ran Mathlib's environment linters BEFORE submission; their finding (Unused in nine declarations) was adopted, which produced the generalization-versus-nolint split described in the PR body.
- Commit messages are terse factual summaries; PR body was drafted by agents and reviewed and edited by me, this disclosure is also written by me, Gabriel Anton.
- I will apply the LLM-Generated label (by comment) and I will answer review questions myself.
[](https://gitpod.io/from-referrer/)
|
t-measure-probability
LLM-generated
new-contributor
|
603/0 |
Mathlib.lean,Mathlib/Probability/Quantile.lean |
2 |
3 |
['Ganton23', 'github-actions'] |
nobody |
20-12413 20 days ago |
20-13143 20 days ago |
22-1781 22 days |
0 |
| 42165 |
bocowgill author:bocowgill |
feat(Probability/HasCondDistrib): characterize independence using conditional distributions |
This PR uses conditional distributions to characterize independence of two random variables.
It adds eight public declarations to `Mathlib/Probability/HasCondDistrib.lean`, which is the only file modified:
- `indepFun_iff_hasCondDistrib_const_of_hasLaw`: characterizes independence using a constant conditional-distribution kernel when the laws are specified.
- `indepFun_iff_hasCondDistrib_const`: specializes this characterization to the marginal laws `P.map X` and `P.map Y`.
- `IndepFun.hasCondDistrib_const`: the forward implication of the preceding equivalence.
- `HasCondDistrib.indepFun_of_const`: the reverse implication.
- `hasCondDistrib_condDistrib`: shows that the regular conditional distribution `condDistrib Y X P` satisfies `HasCondDistrib`.
- `hasCondDistrib_iff_condDistrib_ae_eq`: characterizes finite kernels satisfying `HasCondDistrib` by almost-everywhere equality with `condDistrib`.
- `indepFun_iff_condDistrib_ae_eq_const_of_hasLaw`: characterizes independence by almost-everywhere equality of `condDistrib` with the constant kernel at the specified law.
- `indepFun_iff_condDistrib_ae_eq_const`: specializes this characterization to the marginal laws.
The PR adds no new file and makes no change to the root `Mathlib.lean` imports.
---
### Motivation
These results provide a basic building block for formalizing randomized experiments and causal identification. The main result provides a starting point for later ignorability and conditional-independence results in causal inference.
### LLM disclosure
For theorem planning and Lean implementation, I substantially used Codex by OpenAI. I also used it for suggestions around naming and documentation, for iterating on the proofs, and for validating my commits locally.
I manually searched for the best locations and earlier results to build upon. I personally reviewed both the mathematical statements and Lean code (line-by-line), as well as the suggestions around naming and API choices. I also reviewed and confirmed that I can explain each step of the results (both Mathematics and Lean syntax).
To validate the change, I directly compiled the modified file and ran a targeted build. I also ran the style linter, and completed a full `lake build` and a full `lake test`.
Please note: This is one of my first mathlib contributions. I welcome corrections or suggestions about all aspects of this PR. I'm prepared to revise it as necessary, and to learn from the review.
|
t-measure-probability
LLM-generated
new-contributor
maintainer-merge
|
68/3 |
Mathlib/Probability/HasCondDistrib.lean |
1 |
33 |
['CoolRmal', 'EtienneC30', 'bocowgill', 'github-actions', 'leanprover-radar'] |
nobody |
19-83198 19 days ago |
42-68023 42 days ago |
65-59636 65 days |
0 |
| 41871 |
stalex444 author:stalex444 |
feat(RingTheory/IntegralClosure): integer powers of integral elements are integral |
This PR adds IsIntegral.zpow and its subalgebra-membership analogs (zpow_mem, zpow_mem_adjoin, Algebra.IsIntegral.zpow_mem), generalizing the existing inv lemmas from the −1 power to all integer powers.
This Lean code was drafted with the help of AI (Claude Code), I reviewed it and built it locally against the current master.
---
Happy to adjust the placement or the type-variable names.
---
<!-- Your PR title will become the first line of the commit message.
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Co-authors in the squash commit are gathered from two sources:
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may create empty commits to indicate co-authorship, using commands like so:
git commit --author="Author Name <author@email.com>" --allow-empty -m "add Author Name as coauthor"
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the commit message (that is, directly before the `---`) using the following format:
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If you are moving or deleting declarations, please include these lines
at the bottom of the commit message (before the `---`, and also before
any "Co-authored-by" lines) using the following format:
Moves:
- Vector.* -> List.Vector.*
- ...
Deletions:
- Nat.bit1_add_bit1
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-->
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
LLM-generated
new-contributor
|
20/0 |
Mathlib/RingTheory/IntegralClosure/IsIntegralClosure/Basic.lean |
1 |
11 |
['SnirBroshi', 'github-actions', 'stalex444'] |
nobody |
19-16845 19 days ago |
76-12860 76 days ago |
76-12581 76 days |
0 |
| 40973 |
certik author:certik |
feat: multiplicative automatic continuity on ℝ |
This PR adds the multiplicative companion of the existing additive automatic-continuity theorem `AddMonoidHom.continuous_of_measurable`. See the git commit descriptions for all the details.
Depends on https://github.com/leanprover-community/mathlib4/pull/40976.
AI usage disclosure: I used Claude Opus 4.8 to create the theorems and proofs in my own Lean project, then extracted them into this PR since I think they are general purpose and would be useful for other people. I iterated on the proofs until they are as simple as I could get them. I am new to Lean, so if something should be reworked, please let me know. Lean is amazing, I was able to use it to prove various theorems and check my derivations. This is my little contribution back to the project. |
t-measure-probability
LLM-generated
new-contributor
|
159/0 |
Mathlib.lean,Mathlib/MeasureTheory/Measure/Haar/AutomaticContinuity.lean |
2 |
10 |
['certik', 'github-actions', 'mathlib-merge-conflicts', 'wwylele'] |
urkud assignee:urkud |
18-77017 18 days ago |
96-54544 96 days ago |
98-77962 98 days |
0 |
| 43104 |
elazarg author:elazarg |
feat(InformationTheory/KullbackLeibler): finite Kullback-Leibler divergence |
Add finite-sum formulas for `InformationTheory.klDiv` on finite measurable spaces, including equal-mass and probability-measure specializations and formulas for sums of weighted Dirac measures. Provide both `ℝ≥0∞`-valued and `toReal` versions.
Supporting API includes a formula for the Radon–Nikodym derivative at points of nonzero reference-measure mass, a finite-sum formula for the integral of the log-likelihood ratio, and singleton-mass and absolute-continuity lemmas for sums of weighted Dirac measures.
---
Continuing #42584, another part of https://github.com/elazarg/kraft.
Following review, this uses the existing `klDiv` instead of introducing `klDivFin`. The `toReal` formulas connect it to real-valued sums in downstream code.
For measures of unequal mass, the formulas retain the correction term `ν.real univ - μ.real univ`.
The KL formulas are in `KullbackLeibler/Basic.lean`; the supporting lemmas are in the corresponding measure-theory modules.
[](https://gitpod.io/from-referrer/)
|
t-measure-probability
new-contributor
LLM-generated
|
100/1 |
Mathlib/InformationTheory/KullbackLeibler/Basic.lean,Mathlib/MeasureTheory/Measure/Decomposition/RadonNikodym.lean,Mathlib/MeasureTheory/Measure/Dirac/Basic.lean,Mathlib/MeasureTheory/Measure/LogLikelihoodRatio.lean |
4 |
9 |
['EtienneC30', 'elazarg', 'github-actions', 'vlad902'] |
EtienneC30 assignee:EtienneC30 |
18-10001 18 days ago |
18-10001 18 days ago |
26-77800 26 days |
0 |
| 42363 |
ghseeli author:ghseeli |
feat(Combinatorics): card_le_card_biUnion_of_card_le_card |
This PR contributes a lemma to combinatorics, `card_le_card_biUnion_of_card_le_card`. this is a set theoretic corollary of a double counting result proved for bipartite graphs (`Finset.sum_card_bipartiteAbove_eq_sum_card_bipartiteBelow`). This result was needed for our Latin Square PR https://github.com/leanprover-community/mathlib4/pull/36698. This result was proved in less general terms in that PR, but is independent of Latin Square considerations and so we have generalized and moved it into this file.
---
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Co-authors in the squash commit are gathered from two sources:
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Second, co-authors can also be listed in lines at the very bottom of
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Moves:
- Vector.* -> List.Vector.*
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- Nat.bit1_add_bit1
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-->
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
38/0 |
Mathlib/Combinatorics/Enumerative/DoubleCounting.lean |
1 |
16 |
['cjrl', 'github-actions', 'vlad902', 'wwylele'] |
nobody |
18-574 18 days ago |
47-76715 47 days ago |
60-67954 60 days |
1 |
| 42487 |
bocowgill author:bocowgill |
feat(Algebra/BigOperators/Group/Finset/Powerset): add nested powersetCard identities |
This PR adds product and sum identities for nested collections of fixed-cardinality subsets. For `r ≤ k`, each `r`-element subset of a finite set `s` is contained in exactly
`Nat.choose (s.card - r) (k - r)`
of the `k`-element subsets of `s`. Thus, a sum over the `r`-element subsets of every `k`-element subset reduces to this multiplicity, times a single sum over `s.powersetCard r`. The product version is the analogous power identity.
The proof exchanges the order of the two big operators using `Finset.prod_comm'`. It then counts each fiber with `Finset.card_filter_powersetCard_subset`. The additive identities are generated with `to_additive`. The PR also provides the useful elementwise specialization `r = 1`.
**Motivation**: These results provide reusable weighted double-counting tools for finite combinatorics. They are useful in arguments about uniform set systems, incidence relations, and sums or products over fixed-cardinality subsets.
---
### LLM disclosure
For theorem planning and Lean implementation, I used OpenAI Codex substantially. I also used Codex to search Mathlib and open PRs for related results, suggest naming and documentation, iterate on the proofs, audit import dependencies, and validate the commits locally.
I personally reviewed the mathematical statements and Lean code line-by-line, including the naming and API choices. I also confirmed that I can explain each step of the proofs.
For the current revision, I ran a targeted build of `Mathlib.Algebra.BigOperators.Group.Finset.Powerset`, the style and environment linters, and `git diff --check`. I also inspected the generated additive declarations and axiom dependencies, and tested an alternative proof using explicit incidence finsets. The complete GitHub CI suite passes.
This is one of my earliest Mathlib contributions. I welcome corrections and suggestions, and I am prepared to revise the PR and learn from the review. |
t-algebra
new-contributor
LLM-generated
label:t-algebra$ |
27/0 |
Mathlib/Algebra/BigOperators/Group/Finset/Powerset.lean |
1 |
17 |
['bocowgill', 'github-actions', 'pepamontero'] |
nobody |
17-47451 17 days ago |
17-69249 17 days ago |
56-10927 56 days |
0 |
| 41426 |
gmcninch-prof author:gmcninch-prof |
feat: add symmetric multilinear maps |
Define `SymmetricMap R M N ι`, the type of symmetric `R`-multilinear maps
from `ι → M` to `N` (i.e. multilinear maps invariant under permutation of
their arguments).
---
<!-- Your PR title will become the first line of the commit message.
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For details on the "pull request lifecycle" in mathlib, please see:
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if it passes the continuous integration checks.
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When merging, all the commits will be squashed into a single commit
listing all co-authors.
Co-authors in the squash commit are gathered from two sources:
First, all authors of commits to this PR branch are included. Thus,
one way to add co-authors is to include at least one commit authored by
each co-author among the commits in the pull request. If necessary, you
may create empty commits to indicate co-authorship, using commands like so:
git commit --author="Author Name <author@email.com>" --allow-empty -m "add Author Name as coauthor"
Second, co-authors can also be listed in lines at the very bottom of
the commit message (that is, directly before the `---`) using the following format:
Co-authored-by: Author Name <author@email.com>
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at the bottom of the commit message (before the `---`, and also before
any "Co-authored-by" lines) using the following format:
Moves:
- Vector.* -> List.Vector.*
- ...
Deletions:
- Nat.bit1_add_bit1
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-->
The code is adapted from Kenny Lau's work
[here](https://github.com/kckennylau/EllipticCurve/blob/master/EllipticCurve/ProjectiveSpace/TensorProduct/SymmetricMap.lean)
-- see [`SymmetricMap`](https://github.com/gmcninch-prof/mathlib4/blob/symmetric-power-lift/Mathlib/LinearAlgebra/TensorProduct/SymmetricMap.lean).
This PR previously also contained the universal property / `lift` for
`SymmetricPower` (relating linear maps out of `Sym[R]^n M` to symmetric
multilinear maps), but per reviewer feedback on Zulip that work has been
split into a separate PR that depends on this one.
Zulip discussion [here](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/SymmetricPower.20universal.20property/near/608532652)
[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
397/0 |
Mathlib.lean,Mathlib/LinearAlgebra/TensorProduct/SymmetricMap.lean |
2 |
10 |
['github-actions', 'gmcninch-prof', 'jcommelin'] |
ocfnash assignee:ocfnash |
14-76957 14 days ago |
81-8464 81 days ago |
82-62887 82 days |
1 |
| 42110 |
Zeta-Wu author:Zeta-Wu |
feat: add path length for paths in pseudo emetric spaces |
This PR defines the length of a path in a `PseudoEMetricSpace` as its variation on the unit interval.
It proves the basic properties of path length:
- the endpoint distance is bounded by the length;
- the constant path has length zero;
- reversing a path preserves its length;
- concatenating two paths adds their lengths.
Main declarations:
- `Path.length`
- `Path.edist_le_length`
- `Path.length_refl`
- `Path.length_symm`
- `Path.length_trans`
This is intended as a first step toward a broader theory of rectifiable paths, including later results on invariance of length under monotone reparametrization, and shortest paths are line segments up to monotone reparametrization in strict convex spaces.
This PR was discussed on Zulip [here](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/PR.20.2342110.3A.20Path.2Elength.20in.20PseudoEMetricSpace).
AI disclosure: I used an agent called ReasLingo to generate those codes. After the codes are generated I read them line by line and ask the agent to rewrite some proofs when I think it is a bad code. For design decisions, I asked the agent to give me several versions, and I manually picked one of them to make sure it fits human understanding.
---
<!-- Your PR title will become the first line of the commit message.
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will format the text above it as a title.
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Please ask for help on https://leanprover.zulipchat.com if needed.
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Co-authors in the squash commit are gathered from two sources:
First, all authors of commits to this PR branch are included. Thus,
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each co-author among the commits in the pull request. If necessary, you
may create empty commits to indicate co-authorship, using commands like so:
git commit --author="Author Name <author@email.com>" --allow-empty -m "add Author Name as coauthor"
Second, co-authors can also be listed in lines at the very bottom of
the commit message (that is, directly before the `---`) using the following format:
Co-authored-by: Author Name <author@email.com>
If you are moving or deleting declarations, please include these lines
at the bottom of the commit message (before the `---`, and also before
any "Co-authored-by" lines) using the following format:
Moves:
- Vector.* -> List.Vector.*
- ...
Deletions:
- Nat.bit1_add_bit1
- ...
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below the `---`, and placed outside this HTML comment, or else they
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-->
[](https://gitpod.io/from-referrer/)
|
t-topology
new-contributor
LLM-generated
|
215/0 |
Mathlib.lean,Mathlib/Topology/EMetricSpace/ArcLength.lean,Mathlib/Topology/EMetricSpace/PathLength.lean,Mathlib/Topology/Path.lean,Mathlib/Topology/UnitInterval.lean |
5 |
124 |
['CoolRmal', 'Zeta-Wu', 'felixpernegger', 'github-actions', 'pelicanhere', 'scholzhannah'] |
scholzhannah assignee:scholzhannah |
14-41630 14 days ago |
15-31258 15 days ago |
55-56572 55 days |
0 |
| 39347 |
Sfgangloff author:Sfgangloff |
feat(SymbolicDynamics): refactor of Pattern and shift-invariance of shape languages for subshifts |
## Summary
This PR refactors Pattern.mulShift in Mathlib/Dynamics/SymbolicDynamics/Basic.lean and uses the cleaner definition to prove shift-invariance of the language of a subshift on a finite shape.
## Changes
Pattern.mulShift now returns a Pattern instead of a configuration (more natural).
- Old type: Pattern.mulShift : Pattern A G → G → (G → A)
- New type: Pattern.mulShift : Pattern A G → G → Pattern A G
- The result carries its support (p.support.image (v * ·)) and the
default-outside-support proof, so callers don't have to re-derive them.
The [IsLeftCancelMul G] hypothesis is moved to the lemmas that actually use it.
- The definition Pattern.mulShift itself no longer needs left-cancellation (it only
chooses a preimage noncomputably).
- The hypothesis is now stated on mulShift_config_apply_mul_left_of_mem and
mulOccursInAt_eq_cylinder directly, instead of being a section-level variable.
Renames following the type change.
- mulShift_apply_mul_left_of_mem → mulShift_config_apply_mul_left_of_mem (because we
now write (p.mulShift v).config instead of p.mulShift v).
New @[simp] and @[ext] lemmas for Pattern.
- Pattern.ext: two patterns are equal iff their supports agree and their
configurations agree on the support.
- Pattern.mulShift_support: the support of p.mulShift v is p.support.image (v * ·).
- Pattern.fromConfig_support: the support of fromConfig x U is U.
- Pattern.fromConfig_config_of_mem: on its support, fromConfig x U agrees with x.
New lemma Pattern.fromConfig_mulShift.
For a left inverse g' * g = 1, shifting the pattern fromConfig x U by g equals
fromConfig (mulShift g' x) (U.image (g * ·)).
New theorem MulSubshift.languageOn_image_mulShift.
For a subshift Y and elements g, g' with g * g' = 1 and g' * g = 1:
(fun p => p.mulShift g) '' Y.languageOn U = Y.languageOn (U.image (g * ·))
i.e. the language on the translated shape is exactly the image of the language on U
under the pattern-shift map. This gives a bijection between Y.languageOn U and
Y.languageOn (U.image (g * ·)), with inverse p ↦ p.mulShift g'. Stated for
left-cancellative monoids with an invertible element.
Updated docstrings for Pattern.mulShift and the renamed lemma to reflect the
bundled-Pattern return type and clarify which results need [IsLeftCancelMul G]. |
t-dynamics
new-contributor
|
144/47 |
Mathlib/Dynamics/SymbolicDynamics/Basic.lean |
1 |
13 |
['Sfgangloff', 'github-actions', 'mathlib-merge-conflicts', 'sgouezel'] |
sgouezel assignee:sgouezel |
14-34142 14 days ago |
14-34142 14 days ago |
48-5454 48 days |
0 |
| 43824 |
xingzhicn author:xingzhicn |
feat(Order/Submodular): define submodular functions and diminishing returns |
This PR defines submodular, supermodular, and modular functions on general lattices, and proves the diminishing returns property on finite sets.
Main definitions:
- `IsSubmodular f`: `∀ a b, f (a ⊓ b) + f (a ⊔ b) ≤ f a + f b`
- `IsSupermodular f`: `∀ a b, f a + f b ≤ f (a ⊓ b) + f (a ⊔ b)`
- `IsModular f`: `∀ a b, f (a ⊓ b) + f (a ⊔ b) = f a + f b`
Main results:
- `isModular_iff_submodular_and_supermodular`: a function is modular iff it is both submodular and supermodular.
- `IsSubmodular.add_insert_le`: diminishing returns on `Finset`: for `s ⊆ t` and `x ∉ t`, `f s + f (insert x t) ≤ f (insert x s) + f t`.
This lays the foundation for discrete convex analysis, combinatorial optimization, and matroid rank theory.
---
|
t-order
new-contributor
|
120/0 |
Mathlib.lean,Mathlib/Order/Submodular.lean |
2 |
15 |
['JX-Mo', 'github-actions', 'pepamontero', 'vlad902'] |
nobody |
14-25820 14 days ago |
16-67656 16 days ago |
16-67377 16 days |
0 |
| 40599 |
ChiCubed author:ChiCubed |
feat(LinearAlgebra): rank-nullity theorems for Submodule map/comap |
We show forms of the rank-nullity theorem involving `Submodule.map` and `Submodule.comap`. Together with `LinearMap.ker_comp` this provides a formula for the rank of the kernel of a composite (and, in finite dimensions at least, for the rank of the range).
---
I didn't explicitly write the aforementioned formula for rank ker (f ∘ g) since it is just `LinearMap.ker_comp` followed by `LinearMap.lift_rank_comap`, but perhaps it should be added for discoverability?
<!-- Your PR title will become the first line of the commit message.
In this box, the text above the `---` (if not empty) will be appended
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For details on the "pull request lifecycle" in mathlib, please see:
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In particular, note that most reviewers will only notice your PR
if it passes the continuous integration checks.
Please ask for help on https://leanprover.zulipchat.com if needed.
When merging, all the commits will be squashed into a single commit
listing all co-authors.
Co-authors in the squash commit are gathered from two sources:
First, all authors of commits to this PR branch are included. Thus,
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each co-author among the commits in the pull request. If necessary, you
may create empty commits to indicate co-authorship, using commands like so:
git commit --author="Author Name <author@email.com>" --allow-empty -m "add Author Name as coauthor"
Second, co-authors can also be listed in lines at the very bottom of
the commit message (that is, directly before the `---`) using the following format:
Co-authored-by: Author Name <author@email.com>
If you are moving or deleting declarations, please include these lines
at the bottom of the commit message (before the `---`, and also before
any "Co-authored-by" lines) using the following format:
Moves:
- Vector.* -> List.Vector.*
- ...
Deletions:
- Nat.bit1_add_bit1
- ...
Any other comments you want to keep out of the PR commit should go
below the `---`, and placed outside this HTML comment, or else they
will be invisible to reviewers.
If this PR depends on other PRs, please list them below this comment,
using the following format:
- [ ] depends on: #abc [optional extra text]
- [ ] depends on: #xyz [optional extra text]
-->
[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
63/15 |
Mathlib/Algebra/Module/Submodule/Ker.lean,Mathlib/Algebra/Module/Submodule/Map.lean,Mathlib/Algebra/Module/Submodule/Range.lean,Mathlib/LinearAlgebra/Dimension/RankNullity.lean |
4 |
41 |
['ADedecker', 'ChiCubed', 'github-actions', 'jcommelin', 'themathqueen', 'wwylele'] |
alreadydone assignee:alreadydone |
13-77015 13 days ago |
21-81947 21 days ago |
99-47872 99 days |
0 |
| 41882 |
theebayuser author:theebayuser |
feat(Data/List): decidability of HasPeriod and periods of repeated lists |
Hello, this PR extends `Mathlib/Data/List/PeriodicityLemma.lean` with:
* a `Decidable (List.HasPeriod w p)` instance (it is a prefix test), and
* two directions that relate periods to repetition:
* `hasPeriod_flatten_replicate` — `(replicate n l).flatten` has period `l.length`
* `eq_flatten_replicate_of_hasPeriod` — a word with period `p` and length `r * p` is the `r`-fold repetition of its length-`p` prefix.
This characterizes `r`-th powers of words by a period plus a length constraint, which a future follow-up PR that I plan to work on will use.
AI disclosure: This code was mostly generated by Claude Fable 5 and Opus 4.8 as part of my larger project on combinatorics on words, which I then reviewed and revised to contribute to mathlib.
|
t-data
LLM-generated
new-contributor
|
59/1 |
Mathlib/Data/List/PeriodicityLemma.lean |
1 |
8 |
['SnirBroshi', 'github-actions', 'theebayuser'] |
eric-wieser assignee:eric-wieser |
13-77012 13 days ago |
75-54278 75 days ago |
75-53999 75 days |
0 |
| 42380 |
matt-w-horn author:matt-w-horn |
feat(Algebra/Ring): add sum_range_id_mul_geometric_add |
Over a `CommRing`: `∑ k < m, k * (x ^ k * (1 - x)) + m * x ^ m = ∑ k ∈ Icc 1 m, x ^ k`. Summation by parts for the geometric sum; it computes the mean of a censored geometric distribution, which #42381 adds.
Used in Overload, a library on retry and overload dynamics, where it's stated over `ℝ` with a side condition that turns out to be unnecessary: https://github.com/matt-w-horn/overload/blob/4ecbebf/Overload/Retry/Amplification.lean
Claude Fable wrote the Lean from a spec I gave it. I reviewed and tested it myself, including adversarial tests and the suites in the library above, and did the same for its dependencies.
Assisted-by: Claude Fable 5 |
t-algebra
new-contributor
LLM-generated
label:t-algebra$ |
14/0 |
Mathlib/Algebra/Ring/GeomSum.lean |
1 |
4 |
['github-actions', 'matt-w-horn'] |
nobody |
13-11573 13 days ago |
50-597 50 days ago |
50-318 50 days |
0 |
| 41517 |
sadasant author:sadasant |
feat(MeasureTheory): define Hellinger affinity |
Define the Hellinger affinity (Bhattacharyya coefficient) of two measures as an `ENNReal`-valued lintegral against the canonical dominating measure `μ + ν`, making the definition total with no absolute-continuity or integrability side conditions. Provide symmetry, invariance under the choice of sigma-finite dominating measure, the self-affinity of a probability measure, the `rnDeriv` and `withDensity` computation rules, the bound `≤ 1` for probability measures (via Hölder with `p = q = 2`), and the characterization that the affinity vanishes iff the measures are mutually singular. Groundwork for a formalization of Kakutani's dichotomy (1948) for infinite products of probability measures.
---
**Design notes.**
On the value type ("why not `ℝ` / `ℝ≥0` / `EReal`"): the `ℝ≥0∞`-valued lintegral against `μ + ν` makes the affinity total, which is what makes the singular direction of Kakutani's dichotomy (planned follow-up PRs) case-split-free — `hellingerAffinity_eq_zero_iff` already characterizes mutual singularity with no absolute-continuity hypothesis. `InformationTheory.klDiv` sets the precedent of an `ℝ≥0∞`-valued, standalone divergence-like quantity. The invariance lemma `hellingerAffinity_eq_lintegral_rnDeriv_mul_rnDeriv` recovers the textbook `∫ √(dμ/dρ · dν/dρ) dρ` for any σ-finite dominating `ρ`.
**Relation to f-divergences** (CC @RemyDegenne for coordination with the planned `fDiv` upstreaming from TestingLowerBounds): the affinity is the f-integral at `f = √·`, equivalently `1 −` the Hellinger-½ divergence, with `H²(μ,ν)/2 = 1 − affinity`. Rather than block on an unlanded framework, this PR keeps the affinity standalone (the `klDiv` pattern); when `fDiv` lands, a single bridging lemma of the shape `fDiv hellingerFun μ ν = 1 - hellingerAffinity μ ν` reconciles them, and I am happy to contribute it. Also happy to move the file to `Mathlib/InformationTheory/` if reviewers prefer that home over `Mathlib/MeasureTheory/Measure/`.
**Roadmap.** This is PR 1 of a planned sequence building toward Kakutani's dichotomy for `Measure.infinitePi` over an arbitrary index type (stronger than the textbook countable statement): the `lintegral` product Fubini and `Measure.pi_withDensity`, the infinite-product/summability bridges, then the singular and absolutely-continuous directions and the packaged dichotomy. Natural follow-up API for this file, available on request: `hellingerAffinity_pos_iff`, monotonicity in each argument, and the relation to the squared Hellinger distance once a distance exists.
**Attribution and AI disclosure.** This material was developed in the public [riemann-venue](https://github.com/idolum-ai/riemann-venue) repository by Daniel Rodriguez in collaboration with Claude Fable 5 (Anthropic), as part of a machine-checked formalization of Kakutani's dichotomy (1948) for infinite products of probability measures. The definitions, proofs, and the drafting of this description were done with Claude Fable 5 via Claude Code, working from a design and statement plan reviewed by the human author; all proofs are checked by Lean (`#print axioms` on the main results reports only `propext`, `Classical.choice`, `Quot.sound`), and the human author reviewed the final form, takes responsibility for it, and will answer all review comments personally. I am applying the `LLM-generated` label per the contribution guidelines. |
t-measure-probability
LLM-generated
new-contributor
|
214/0 |
Mathlib.lean,Mathlib/MeasureTheory/Measure/Hellinger.lean |
2 |
4 |
['github-actions', 'sadasant'] |
urkud assignee:urkud |
12-77011 12 days ago |
85-58 84 days ago |
84-86179 84 days |
0 |
| 42786 |
rshlyakh author:rshlyakh |
feat(Data/Finsupp/NatCard): count finsupps of bounded degree |
Adds the formula that the number of finitely-supported functions `α →₀ ℕ` with degree less than or equal to `n` is equal to `Nat.choose (Nat.card α + n) n`. The proof is by establishing an equivalence `Sym (Option α) n ≃ {f : α →₀ ℕ // f.degree ≤ n}` and using the stars-and-bars formula `Sym.equivNatSum.`
---
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|
t-data
new-contributor
|
56/0 |
Mathlib.lean,Mathlib/Data/Finsupp/NatCard.lean |
2 |
2 |
['github-actions'] |
joneugster assignee:joneugster |
12-77006 12 days ago |
47-72879 47 days ago |
47-75234 47 days |
0 |
| 42823 |
attilavjda author:attilavjda |
chore: let `to_additive` generate hand-written additive twins |
In eight `to_additive` sites the additive declaration is written out by hand, but `@[to_additive]` on the multiplicative one generates the same statement.
This PR replaces the glue with a tag, deletes the twins, and `(attr := simp)` is used where the additive side must stay a simp lemma.
Aristotle AI found these duplicates, and suggested the solution.
---
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|
tech debt
t-group-theory
new-contributor
|
1/1 |
Mathlib/GroupTheory/Nilpotent.lean |
1 |
6 |
['attilavjda', 'github-actions', 'mathlib-merge-conflicts', 'wwylele'] |
nobody |
12-48206 12 days ago |
12-49460 12 days ago |
45-33840 45 days |
0 |
| 43703 |
dicipler-pixel author:dicipler-pixel |
feat(GroupTheory/Coxeter): identify rank-two Coxeter groups with dihedral groups |
Identifies the Coxeter group associated to CoxeterMatrix.I m with DihedralGroup (m + 2).
The new file constructs the canonical homomorphism sending the two simple reflections to adjacent reflections, proves surjectivity, establishes a two-coset normal form in the presented Coxeter group, and uses that normal form to prove injectivity. It then exposes the resulting MulEquiv together with simp lemmas for the simple generators.
This makes precise the description already given in CoxeterMatrix.I's documentation that it is the Coxeter matrix for the symmetry group of the regular (m + 2)-gon.
Mathlib.lean was regenerated with lake exe mk_all. |
t-group-theory
new-contributor
|
206/0 |
Mathlib.lean,Mathlib/GroupTheory/Coxeter/Dihedral.lean |
2 |
10 |
['JX-Mo', 'dicipler-pixel', 'github-actions'] |
nobody |
12-46166 12 days ago |
12-46944 12 days ago |
12-49162 12 days |
0 |
| 42188 |
arcaputo3 author:arcaputo3 |
feat(Combinatorics/SimpleGraph): the line graph signature identity |
For a finite simple graph `G` with `n` vertices and `m` edges, we prove the classical identity
`s(A(L(G))) = n - m + p - q`
where `s` is the signature of the (real) adjacency matrix of the line graph `L(G)`, and `(p, q)` are the numbers of positive/negative eigenvalues of `Q(G) - 2•1`, with `Q(G) = D(G) + A(G)` the signless Laplacian, all counted with multiplicity.
The proof is the Gram-pairing argument: the `V × E(G)` incidence matrix `B` satisfies `Bᵀ * B = A(L(G)) + 2•1` and `B * Bᵀ = Q(G)`, and the two products have equal nonzero spectra by `Matrix.charpoly_mul_comm'`. Eigenvalue counts are transported along the resulting root-multiset identity.
New declarations:
- `Mathlib/Analysis/Matrix/Inertia.lean`: the inertia indices `Matrix.IsHermitian.posInertia` / `negInertia` / `signature` of a real symmetric matrix, and `Matrix.IsHermitian.charpoly_add_smul_one` / `roots_charpoly_add_smul_one` (the characteristic polynomial of `A + c • 1` splits over the shifted eigenvalues).
- `Mathlib/Combinatorics/SimpleGraph/LineGraphSignature.lean`: `SimpleGraph.signlessLapMatrix`, `SimpleGraph.edgeIncMatrix` (the `V × E(G)`-indexed incidence matrix) together with the two Gram identities above (stated over an arbitrary (non-assoc) semiring), a `DecidableRel` instance for `lineGraph.Adj`, and the main theorem `SimpleGraph.signature_adjMatrix_lineGraph`.
---
**AI disclosure** (per the mathlib policy on AI-assisted contributions): this PR was formalized end-to-end with Claude Code (Anthropic model Claude Fable 5). The choice of statement and the decision to contribute are mine; the Lean proofs were authored by the tool and verified by compilation. `#print axioms SimpleGraph.signature_adjMatrix_lineGraph` reports `[propext, Classical.choice, Quot.sound]`.
Notes for reviewers:
- `signlessLapMatrix` could alternatively live in `Mathlib/Combinatorics/SimpleGraph/LapMatrix.lean`, and the `DecidableRel G.lineGraph.Adj` instance in `LineGraph.lean`; happy to move them.
- The inertia API is deliberately minimal (what the main theorem needs); extensions (e.g. rank/inertia relations, congruence invariance / Sylvester's law) would be natural follow-ups.
- I do not yet have push access to non-master mathlib branches, so this PR comes from a fork; happy to move the branch onto the main repository once access is granted.
🤖 Generated with [Claude Code](https://claude.com/claude-code)
|
new-contributor
LLM-generated
t-combinatorics
|
326/0 |
Mathlib.lean,Mathlib/Analysis/Matrix/Inertia.lean,Mathlib/Combinatorics/SimpleGraph/LineGraphSignature.lean |
3 |
2 |
['github-actions'] |
nobody |
11-78806 11 days ago |
65-28421 65 days ago |
65-28142 65 days |
0 |
| 43216 |
JadAbouHawili author:JadAbouHawili |
feat(Combinatorics/SimpleGraph/Clique): independence number is zero iff the graph has no vertices |
---
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new-contributor
t-combinatorics
|
46/3 |
Mathlib/Combinatorics/SimpleGraph/Clique.lean |
1 |
45 |
['JadAbouHawili', 'SnirBroshi', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
11-78746 11 days ago |
26-17883 26 days ago |
29-80194 29 days |
0 |
| 40448 |
ChiCubed author:ChiCubed |
feat(LinearAlgebra/Dimension): tower law for algebraic extensions |
We generalise the tower law for `Module.rank` to the situation of a module over an algebraic extension of domains.
---
See [the Zulip thread](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Tower.20law.20for.20.60Module.2Erank.60/) for some associated discussion.
I am not sure about in which file these results should live, or what their names should be. For the file I have gone with `LinearAlgebra/Dimension/Algebraic.lean` for now, because these feel more like dimension theorems than `Algebra.IsAlgebraic` theorems, and IMO do not logically fit into the other existing files in `LinearAlgebra/Dimension`.
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|
t-algebra
new-contributor
label:t-algebra$ |
309/11 |
Mathlib.lean,Mathlib/Algebra/Group/Action/Faithful.lean,Mathlib/LinearAlgebra/Dimension/Domain.lean,Mathlib/LinearAlgebra/Dimension/Free.lean,Mathlib/RingTheory/Algebraic/Integral.lean,Mathlib/RingTheory/Localization/FractionRing.lean |
6 |
27 |
['ChiCubed', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts', 'tb65536', 'themathqueen'] |
kim-em assignee:kim-em |
11-77742 11 days ago |
11-82417 11 days ago |
108-61104 108 days |
0 |
| 38606 |
dennj author:dennj |
feat: preparation for Vanishing Sum of Roots of Unity |
Adds the Mathlib API extensions needed for an upcoming formalization of the Lam-style classification theorem for vanishing sums of roots of unity.
* Mathlib/LinearAlgebra/LinearIndependent/Lemmas.lean
+ `exists_eq_const_of_sum_smul_eq_zero_of_sum_eq_zero_of_linearIndependent`: if `∑ vᵢ = 0` and the first `n-1` of `n` vectors are linearly independent, every linear relation has constant coefficients.
* Mathlib/RingTheory/Radical/NatInt.lean
+ `Nat.totient_eq_div_radical_mul_totient_radical`: Euler's totient splits as `φ(n) = (n / rad n) * φ(rad n)`.
* Mathlib/RingTheory/RootsOfUnity/PrimitiveRoots.lean
+ `IsPrimitiveRoot.sum_range_pow_mul_div_eq_zero_of_dvd`: the `d` evenly-spaced powers of a primitive `k`-th root sum to zero, for `d ∣ k` and `1 < d`.
* Mathlib/NumberTheory/Cyclotomic/LinearDisjoint.lean (new)
+ `IsPrimitiveRoot.linearDisjoint_adjoin_pow_of_coprime`: cyclotomic subfields of coprime orders are linearly disjoint over `ℚ`.
* Mathlib/NumberTheory/Cyclotomic/LinearRelations.lean (new)
+ `IsPrimitiveRoot.coeffs_eq_of_sum_pow_eq_zero_prime_coprime`: in the cyclotomic field of order `p * m` with `p` prime coprime to `m`, any `ℚ⟮ζ^p⟯`-linear relation among powers of `ζ^m` has all coefficients equal.
---
I need these as preparation to start formalizing the theorem:
Let k be a positive integer. If a finite family of complex k-th roots of unity sums to zero, then the size of the family is a non-negative integer combination of the prime divisors of k.
---
Human-made PR with AI used for golfing and documentation |
new-contributor
t-algebra
label:t-algebra$ |
219/0 |
Mathlib.lean,Mathlib/LinearAlgebra/LinearIndependent/Lemmas.lean,Mathlib/NumberTheory/Cyclotomic/LinearDisjoint.lean,Mathlib/NumberTheory/Cyclotomic/LinearRelations.lean,Mathlib/RingTheory/Radical/Totient.lean,Mathlib/RingTheory/RootsOfUnity/PrimitiveRoots.lean |
6 |
4 |
['github-actions', 'mathlib-merge-conflicts'] |
alreadydone assignee:alreadydone |
11-77016 11 days ago |
105-77521 105 days ago |
114-22490 114 days |
0 |
| 42971 |
ashebson author:ashebson |
fix(ProfiniteGrp): simplify explicit limit projections |
The naturality proof for `ProfiniteCompletion.lift` previously needed a brittle pointwise `change`. The underlying problem was that simplification crossed several semireducible diagram/forgetful-functor boundaries at once, producing terms that are definitionally equal but no longer type-correct at implicit transparency.
This PR:
- makes the two finite-quotient diagram composites reducible abbreviations;
- states `quotientMap` using the diagram object types and maps it through the existing `FiniteGrp ⥤ ProfiniteGrp` forgetful functor;
- adds a pointwise rewrite lemma for an explicit limit projection followed by a mapped finite-group morphism (with its additive counterpart); and
- rewrites `ProfiniteCompletion.lift` naturality through that API while keeping the limit point bundled, removing the problematic pointwise `change`.
--------
## AI disclosure
AI (OpenAI Codex) was used extensively for this PR. It was used to:
- investigate the original TODO and reproduce why `dsimp` failed;
- explore and discard several possible fixes;
- identify the semireducible diagram/forgetful-functor boundaries involved;
- design and implement the final `ProfiniteGrp` API simplification and `ProfiniteCompletion.lift` proof changes;
- run the relevant Lean builds and direct compilation checks; and
- draft the commit message and PR description.
The final changes were reviewed through the resulting diff and verified locally.
|
t-topology
new-contributor
LLM-generated
|
29/12 |
Mathlib/Topology/Algebra/Category/ProfiniteGrp/Basic.lean,Mathlib/Topology/Algebra/Category/ProfiniteGrp/Completion.lean,Mathlib/Topology/Algebra/Category/ProfiniteGrp/Limits.lean |
3 |
9 |
['ashebson', 'github-actions', 'grunweg', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
11-52706 11 days ago |
11-53928 11 days ago |
25-12436 25 days |
0 |
| 43886 |
gabriel-turinici author:gabriel-turinici |
feat(Analysis/Asymptotics): add Filter.Tendsto.weighted_cesaro_smul |
Adds `Filter.Tendsto.weighted_cesaro_smul`, a weighted (Toeplitz-type) generalization of `Filter.Tendsto.cesaro_smul`: if `S k → L` and `w k ≥ 0` has divergent partial sums, the weighted running average of `S` w.r.t. `w` also tends to `L`. Recovers `cesaro_smul` as the `w ≡ 1` case. Also adds `weighted_cesaro`, the real-valued convenience wrapper mirroring `cesaro`.
This is a small building block toward a planned follow-up PR formalizing Kronecker's lemma, at its turn needed in some stochastic analysis setting.
---
**AI disclosure**: this proof was developed using formatting assistance, library search and code corrections from Claude Code (Claude Sonnet 5) and a personal LLM automation. Alternative, shorter, proofs can be obtained with `IsLittleO`-style but that style seems too recent for me now.
[](https://gitpod.io/from-referrer/) |
t-analysis
new-contributor
LLM-generated
|
81/0 |
Mathlib/Analysis/Asymptotics/SpecificAsymptotics.lean |
1 |
2 |
['github-actions'] |
nobody |
11-32015 11 days ago |
15-994 15 days ago |
15-715 15 days |
0 |
| 29744 |
espottesmith author:espottesmith |
feat(Combinatorics): define directed hypergraphs |
This PR defines directed hypergraphs:
```
@[ext]
structure DiHypergraph (α : Type*) where
/-- The vertex set -/
vertexSet : Set α
/-- The edge set -/
edgeSet : Set ((Set α) × (Set α))
/-- Each edge is a pair (s, d), where s ⊆ vertexSet and d ⊆ vertexSet -/
edge_src_dst_isSubset_vertexSet' : ∀ ⦃e⦄, e ∈ edgeSet → e.1 ⊆ vertexSet ∧ e.2 ⊆ vertexSet
```
Additional definitions:
- tail/head stars and negative/positive stars
- some special cases (B-Graph, F-Graph, BF-Graph, and what I'm calling a "non-endless" dihypergraph, where neither the source/tail nor the destination/head are empty)
- Vertex and (hyper)edge adjacency
- isolated vertices
- empty and nonempty dihypergraphs
The design employed here is based off of #28613, but this PR does not depend on that one.
---
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|
t-combinatorics
new-contributor
|
290/0 |
Mathlib.lean,Mathlib/Combinatorics/DiHypergraph/Basic.lean |
2 |
12 |
['SnirBroshi', 'b-mehta', 'espottesmith', 'github-actions', 'mathlib4-merge-conflict-bot', 'pimotte'] |
nobody |
11-16933 11 days ago |
102-25155 102 days ago |
239-28624 239 days |
1 |
| 43780 |
SashaIr author:SashaIr |
feat: q-analogs |
An implementation of q-analogs, q-binomials, and counting results.
---
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|
new-contributor
t-combinatorics
|
965/0 |
Mathlib.lean,Mathlib/Combinatorics/QAnalog/Basic.lean,Mathlib/Combinatorics/QAnalog/Binomial.lean,Mathlib/Combinatorics/QAnalog/Counting.lean,Mathlib/Combinatorics/QAnalog/Subspace.lean |
5 |
7 |
['SashaIr', 'SnirBroshi', 'b-mehta', 'github-actions'] |
nobody |
11-7676 11 days ago |
18-5646 18 days ago |
18-5723 18 days |
0 |
| 38334 |
8e7 author:8e7 |
feat(Combinatorics/SimpleGraph/TreeDecomp): define tree decompositions |
Add definition for tree decompositions on simple graphs. Define the tree width of a simple graph and prove basic statements and conversions.
```lean
structure TreeDecomp (G : SimpleGraph V) (W : Type) where
/-- The set of vertices in each bag. -/
bag : W → Finset V
/-- The graph adjacency relation of bags. -/
tree : SimpleGraph W
/-- T must be a tree. -/
isTree : IsTree tree
/-- All vertices in G must appear in some bag. -/
vertexCover : ∀ v : V, ∃ w : W, v ∈ bag w
/-- For any edge (u, v) in G, there is a bag containing both u and v. -/
edgeCover ⦃u v : V⦄ : G.Adj u v → ∃ w : W, u ∈ bag w ∧ v ∈ bag w
/-- For any vertex v in G, the set of bags that contain v is preconnected. -/
connectedBags : ∀ v : V, (tree.induce ({w | v ∈ bag w})).Preconnected
```
AI Usage: Some proofs are written with the help of Claude Code, and everything has been manually reviewed.
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-combinatorics
LLM-generated
|
395/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/TreeDecomp.lean |
2 |
42 |
['8e7', 'SnirBroshi', 'YaelDillies', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
10-76117 10 days ago |
67-64155 67 days ago |
91-47211 91 days |
1 |
| 42042 |
ijtejeda author:ijtejeda |
feat(MeasureTheory/OuterMeasure) more API for Caratheodory |
Add more basic facts about outer measures. This includes Caratheodory measurability of measure-zero sets, a property that we use repeatedly in our formalization of Mastrand's theorem.
---
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|
LLM-generated
new-contributor
t-measure-probability
maintainer-merge
|
8/0 |
Mathlib/MeasureTheory/OuterMeasure/Caratheodory.lean |
1 |
15 |
['CoolRmal', 'github-actions', 'ijtejeda', 'tdwag123'] |
nobody |
10-76114 10 days ago |
32-13087 32 days ago |
57-82779 57 days |
0 |
| 43953 |
hasjack author:hasjack |
feat(Combinatorics/SimpleGraph/LapMatrix): bound Laplacian eigenvalues by `|V|` |
Prove that every Laplacian eigenvalue of a finite simple graph is at most
the number of vertices, via comparison of the Rayleigh quotient with the
complete graph. Also record the underlying quadratic-form bound
`xᵀ L x ≤ |V| · ‖x‖²`.
---
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[](https://gitpod.io/from-referrer/)
Adds `dotProduct_mulVec_lapMatrix_le_card` and `eigenvalues_lapMatrix_le_card`
in `LapMatrix.lean` only. The claim is the uniform bound `λ ≤ |V|` for every
indexed eigenvalue; it does not assert `|V| ∈ spectrum` for every graph.
Searched existing LapMatrix API (PSD, `zero_mem_spectrum_lapMatrix`,
`lapMatrix_top`) and did not find a card upper bound under another name.
Happy to rename if a preferred lemma already exists. |
new-contributor
t-combinatorics
LLM-generated
|
37/1 |
Mathlib/Combinatorics/SimpleGraph/LapMatrix.lean,Mathlib/Data/Matrix/Mul.lean |
2 |
61 |
['Parcly-Taxel', 'SnirBroshi', 'github-actions', 'hasjack'] |
nobody |
10-34029 10 days ago |
10-81048 10 days ago |
12-74905 12 days |
0 |
| 41947 |
hawkrobe author:hawkrobe |
feat(Order/Antisymmetrization): comparable minimal elements are equivalent |
a minimal element is antisymmetrically equivalent to every comparable element satisfying the predicate, so two comparable minimal elements are equivalent in a preorder and equal in a partial order (Mathlib has the partial-order form `Minimal.eq_of_ge` but not the preorder form.)
---
[](https://gitpod.io/from-referrer/) |
new-contributor
t-order
|
25/4 |
Mathlib/Logic/Relation.lean,Mathlib/Order/Antisymmetrization.lean,Mathlib/Order/Bounds/Basic.lean |
3 |
3 |
['github-actions', 'hawkrobe'] |
nobody |
10-23292 10 days ago |
73-67340 73 days ago |
73-67061 73 days |
0 |
| 43539 |
abhijitaj1997 author:abhijitaj1997 |
feat(CategoryTheory/Monoidal/Cartesian/Endomorphism): add ring and semiring structures |
Given two monoidal object in a nice enough category, this show that the monoidal morphisms between then forms an additive group. This additive group is part of a larger semiring structure.
---
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|
new-contributor
t-category-theory
large-import
|
202/0 |
Mathlib.lean,Mathlib/CategoryTheory/Monoidal/Cartesian/Endomorphism.lean,Mathlib/CategoryTheory/Monoidal/Mon.lean |
3 |
35 |
['Multramate', 'abhijitaj1997', 'alreadydone', 'github-actions', 'joelriou', 'robin-carlier'] |
robin-carlier assignee:robin-carlier |
10-5318 10 days ago |
20-24154 20 days ago |
22-69770 22 days |
0 |
| 41861 |
stalex444 author:stalex444 |
feat(Algebra/Order/Floor): floor-of-sum dichotomy via fractional parts |
This PR adds four lemmas in Mathlib/Algebra/Order/Floor/Ring.lean, placed in the fractional-part section, complementing the existing one-sided bounds le_floor_add and le_floor_add_floor.
Here are the lemmas:
* floor_add_eq — writes ⌊a + b⌋ exactly as ⌊a⌋ + ⌊b⌋ + ⌊fract a + fract b⌋
* floor_add_eq_add_iff — the floors add exactly ⟺ the fractional parts sum below 1
* floor_add_eq_add_add_one_iff — the +1 case ⟺ the fractional parts sum to at least 1
* floor_add_eq_or — the dichotomy: it's always one or the other
The library has the two inequalities but not the exact case analysis, and this closes that small gap. In addition, these are the lemmas for the mechanical/Beatty-word development proposed here --https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Sturmian.20.28mechanical.29.20words/near/610836902.
Claude helped draft the Lean code; I reviewed the code, built the module locally, and it compiled.
---
I'm flexible on the lemma names should reviewers prefer different forms
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|
t-algebra
LLM-generated
new-contributor
label:t-algebra$ |
49/0 |
Mathlib/Algebra/Order/Floor/Ring.lean |
1 |
12 |
['BoltonBailey', 'github-actions', 'stalex444', 'themathqueen'] |
nobody |
9-41716 9 days ago |
19-34083 19 days ago |
56-55897 56 days |
0 |
| 43643 |
Sanghyeok0 author:Sanghyeok0 |
refactor(Logic/Relation): move inclusion lemmas out of EqvGen |
I moved the four relation-inclusion lemmas introduced in #40792 from `Relation.EqvGen` to `Relation`, retaining the existing names as deprecated aliases.
This refactor was split out from #40368 following the review discussion there.
Changes:
* `Relation.EqvGen.reflGen_le_eqvGen` → `Relation.reflGen_le_eqvGen`
* `Relation.EqvGen.symmGen_le_eqvGen` → `Relation.symmGen_le_eqvGen`
* `Relation.EqvGen.transGen_le_eqvGen` → `Relation.transGen_le_eqvGen`
* `Relation.EqvGen.reflTransGen_le_eqvGen` → `Relation.reflTransGen_le_eqvGen`
---
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[](https://gitpod.io/from-referrer/)
|
t-logic
new-contributor
maintainer-merge
|
24/0 |
Mathlib/Logic/Relation.lean |
1 |
11 |
['Sanghyeok0', 'github-actions', 'themathqueen'] |
nobody |
9-40923 9 days ago |
14-34576 14 days ago |
20-37628 20 days |
0 |
| 44019 |
bally65 author:bally65 |
feat(Computability/Primrec): primality is primitive recursive |
Primrec.nat_prime : PrimrecPred Nat.Prime, via Nat.prime_def_lt' and the bounded quantifier PrimrecRel.forall_lt. Mathlib had no computability statement about Nat.Prime.
---
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[](https://gitpod.io/from-referrer/)
|
t-computability
new-contributor
|
44/0 |
Mathlib.lean,Mathlib/Computability/Primrec/Prime.lean |
2 |
5 |
['github-actions', 'pepamontero'] |
nobody |
9-30064 9 days ago |
9-31080 9 days ago |
10-65454 10 days |
0 |
| 41217 |
Probablism author:Probablism |
feat(SimpleGraph/Matching): add graph-level IsMatching |
Closes #11911.
This adds a graph-level `SimpleGraph.IsMatching` predicate. It is support-based, so isolated
vertices are allowed: every vertex in the graph support is incident to exactly one edge.
The existing `Subgraph.IsMatching` predicate is unchanged. I added compatibility lemmas relating it
to `M.spanningCoe`, including an iff characterizing the subgraph predicate as graph-level matching
plus `M.support = M.verts`.
Validation:
- `lake env lean Mathlib/Combinatorics/SimpleGraph/Matching.lean`
- `lake build Mathlib.Combinatorics.SimpleGraph.Matching`
- `lake build Mathlib.Combinatorics.SimpleGraph.Hall Mathlib.Combinatorics.SimpleGraph.Tutte Mathlib.Combinatorics.SimpleGraph.UniversalVerts`
- `lake exe lint-style Mathlib/Combinatorics/SimpleGraph/Matching.lean`
- `lake build Mathlib`
- `lake test`
AI assistance: OpenAI Codex assisted with testing and validation.
|
t-combinatorics
new-contributor
|
41/3 |
Mathlib/Combinatorics/SimpleGraph/Matching.lean |
1 |
4 |
['Probablism', 'SnirBroshi', 'github-actions'] |
b-mehta assignee:b-mehta |
8-77017 8 days ago |
92-79836 92 days ago |
92-79557 92 days |
0 |
| 42630 |
will1491 author:will1491 |
feat(Analysis/Complex): define Wirtinger derivatives |
Define the Wirtinger derivatives `Complex.wirtingerDeriv` and `Complex.wirtingerDerivBar` from `fderiv ℝ`, and prove: the Cauchy-Riemann characterization of complex differentiability (pointwise and on open sets), agreement of `wirtingerDeriv` with `deriv` for holomorphic functions, additivity, Leibniz product rules, conjugation identities, both Wirtinger chain rules, and the Wirtinger decomposition of a real-linear map `ℂ →L[ℝ] ℂ`.
Extracted from https://github.com/will1491/RiemannDynamics, where it underlies the Beltrami-equation and Cauchy/Beurling-transform theory used in the proof of the measurable Riemann mapping theorem.
---
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[](https://gitpod.io/from-referrer/)
|
t-analysis
new-contributor
|
253/0 |
Mathlib.lean,Mathlib/Analysis/Complex/Wirtinger.lean |
2 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
ADedecker assignee:ADedecker |
8-77015 8 days ago |
21-4702 21 days ago |
51-66464 51 days |
0 |
| 42820 |
tolgadgrmnc27 author:tolgadgrmnc27 |
feat(Data/Nat/Choose): elementary Chernoff bound for tail sums of binomial coefficients |
Adds an elementary, purely combinatorial Chernoff-type bound on tail sums of
binomial coefficients:
```lean
theorem Nat.sum_Ico_choose_le_div (n m : ℕ) {x : α} (hx : 1 ≤ x) :
∑ j ∈ Ico m (n + 1), (n.choose j : α) ≤ (1 + x) ^ n / x ^ m
```
together with the specialization at `x = 2`:
```lean
theorem Nat.sum_Ico_choose_le_three_pow_div (n m : ℕ) :
∑ j ∈ Ico m (n + 1), (n.choose j : α) ≤ 3 ^ n / 2 ^ m
```
The proof is the classical exponential moment trick done combinatorially: for
`m ≤ j` and `1 ≤ x` we have `x ^ m ≤ x ^ j`, so the tail sum is bounded by
`x ^ (-m) * ∑ j, n.choose j * x ^ j = x ^ (-m) * (1 + x) ^ n` by the binomial
theorem. A helper `Nat.sum_range_choose_mul_pow` states the binomial theorem in
the convenient form `∑ j ≤ n, n.choose j * x ^ j = (1 + x) ^ n`.
### Why this is not already in Mathlib
* `Nat.sum_range_choose` gives the *total* sum `∑ j ≤ n, n.choose j = 2 ^ n`.
* `Mathlib/Data/Nat/Choose/Bounds.lean` bounds a *single* coefficient
(`choose_le_pow`, `choose_le_two_pow`, `choose_le_pow_div`, …).
* `Mathlib/Probability/Moments/SubGaussian.lean` has Chernoff/Hoeffding, but
measure-theoretically: using it for a counting argument requires setting up a
probability space with independent Bernoulli variables and translating back
to cardinalities.
I could not find a statement bounding a *partial* sum of binomial
coefficients. The version here needs no probability space and applies directly
to counting arguments (its original use was bounding the number of `n < 2 ^ k`
whose first `k` binary digits contain at least `m` ones).
### Notes
* Stated over a general `[Semifield α] [LinearOrder α] [IsStrictOrderedRing α]`,
matching the typeclass style of `Mathlib/Data/Nat/Choose/Bounds.lean`.
* `Ico m (n + 1)` rather than a `filter (m ≤ ·)` form, as is idiomatic in
Mathlib; the two are equal by `Finset.filter_le_eq_Ico`-style reasoning.
* Names are of course open to bikeshedding.
---
- [x] depends on: nothing
|
t-data
new-contributor
|
84/0 |
Mathlib.lean,Mathlib/Data/Nat/Choose/Tail.lean |
2 |
3 |
['github-actions'] |
TwoFX assignee:TwoFX |
8-77014 8 days ago |
46-37992 46 days ago |
46-37713 46 days |
0 |
| 44099 |
xiahongchi author:xiahongchi |
feat: maximize concave functions at stationary points |
Adds two first-order maximum principles for real concave functions:
* `ConcaveOn.le_of_hasDerivAt_eq_zero`
* `ConcaveOn.isGreatest_of_hasDerivAt_eq_zero`
They use the existing secant-slope bounds and require differentiability only at the candidate maximizer.
Tested by compiling `Mathlib/Analysis/Convex/Deriv.lean` locally. |
t-analysis
new-contributor
|
31/0 |
Mathlib/Analysis/Convex/Deriv.lean |
1 |
3 |
['github-actions'] |
nobody |
8-76883 8 days ago |
8-78113 8 days ago |
8-77834 8 days |
0 |
| 44101 |
xiahongchi author:xiahongchi |
feat: add continuity-set convergence for finite measures |
This adds two finite-measure Portmanteau consequences:
* evaluations converge on sets whose frontier has zero limiting mass;
* restriction to such a continuity set is continuous under weak convergence.
The evaluation theorem handles a zero limiting measure directly via total mass; otherwise it normalizes to probability measures. The restriction theorem again separates mass and normalized probability convergence, controlling the frontiers of intersections.
Both declarations elaborate against the released API in the originating project. Compiling the current upstream file with that older toolchain produces only three known pre-existing `eventuallySubset` version-mismatch errors; neither new declaration reports an error. Full current-toolchain validation is delegated to this PR’s CI. |
t-measure-probability
new-contributor
|
105/0 |
Mathlib/MeasureTheory/Measure/Portmanteau.lean |
1 |
2 |
['github-actions'] |
nobody |
8-76334 8 days ago |
8-77326 8 days ago |
8-77340 8 days |
0 |
| 44100 |
xiahongchi author:xiahongchi |
feat: characterize finite-measure convergence by Lipschitz tests |
This adds the finite-measure counterpart of the bounded-Lipschitz Portmanteau criterion. The reverse implication separates total-mass convergence from convergence of normalized probability measures, with a separate zero-limit branch.
The proof was exercised in the originating project against the released Portmanteau API. The upstream master file currently requires Lean v4.35.0-rc2, so the authoritative full-file check is this PR’s CI. |
t-measure-probability
new-contributor
|
68/0 |
Mathlib/MeasureTheory/Measure/Portmanteau.lean |
1 |
2 |
['github-actions'] |
nobody |
8-75678 8 days ago |
8-77016 8 days ago |
8-77019 8 days |
0 |
| 44103 |
xiahongchi author:xiahongchi |
feat: equate derivatives of ordered functions at contact points |
This adds Fréchet-derivative and scalar-derivative lemmas saying that two everywhere-ordered real-valued functions have equal derivatives wherever they agree. The proof applies Fermat’s theorem to their nonnegative difference.
This packages and generalizes the scalar envelope argument from Bryan Sanchez’s `NSBlwChain/Caveats/C2_Envelope.lean` at `Brsanch/ns-lean-proofs@b73f537d1646165fbdc0993c5b2e223355dc3469` (MIT).
The new declarations elaborate under the released toolchain; compiling the current master file there reports only one pre-existing current-Lean field-notation incompatibility before the new code. Current-toolchain CI is authoritative. |
t-analysis
new-contributor
|
20/0 |
Mathlib/Analysis/Calculus/LocalExtr/Basic.lean |
1 |
2 |
['github-actions'] |
nobody |
8-75198 8 days ago |
8-76457 8 days ago |
8-76475 8 days |
0 |
| 44098 |
xiahongchi author:xiahongchi |
feat: add a translation lemma for absolute continuity on intervals |
Adds `AbsolutelyContinuousOnInterval.comp_add_right`, showing that translating both an interval and the input of a function preserves absolute continuity.
The statement is polymorphic in the pseudometric codomain.
Tested by compiling `Mathlib/MeasureTheory/Integral/IntervalIntegral/AbsolutelyContinuousFun.lean` locally. |
t-measure-probability
new-contributor
|
37/0 |
Mathlib/MeasureTheory/Integral/IntervalIntegral/AbsolutelyContinuousFun.lean |
1 |
4 |
['SnirBroshi', 'github-actions'] |
nobody |
8-73923 8 days ago |
8-74873 8 days ago |
8-77901 8 days |
0 |
| 41728 |
vaca22 author:vaca22 |
feat(GroupTheory): prove uniqueness of ℤᵐ⁰ automorphisms |
Prove that every order-preserving multiplicative automorphism of ℤᵐ⁰ is the identity. This also gives a Unique instance for its automorphism type and a Subsingleton instance for order-preserving multiplicative normalizations from G to ℤᵐ⁰.
The proof transports an automorphism through WithZero.exp and WithZero.log to an additive automorphism of ℤ, then excludes negation by monotonicity.
------------
**AI disclosure**: this PR is primarily LLM-generated (Claude Code).
|
t-group-theory
new-contributor
LLM-generated
|
58/0 |
Mathlib/GroupTheory/ArchimedeanDensely.lean |
1 |
16 |
['github-actions', 'grunweg', 'tb65536', 'vaca22', 'wwylele'] |
nobody |
8-66024 8 days ago |
26-25011 26 days ago |
40-69274 40 days |
0 |
| 43349 |
Nicola9Falciola author:Nicola9Falciola |
feat(Algebra/FreeAbelianGroup/Finsupp): add api for the coeff of a single element |
---
Add two API lemmas computing the coefficent of the form `of x` for `x : X` in the FreeAbelianGroup.
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebra
label:t-algebra$ |
8/0 |
Mathlib/Algebra/FreeAbelianGroup/Finsupp.lean |
1 |
2 |
['github-actions'] |
nobody |
8-42616 8 days ago |
29-26671 29 days ago |
29-26392 29 days |
0 |
| 44131 |
Kratostau author:Kratostau |
feat(Algebra/ContinuedFractions): lower bound for the error of convergents |
Add GenContFract.one_div_lt_abs_sub_convs immediately after abs_sub_convs_le.
If the continued fraction has not terminated at n, then
1 / (dens n * (dens (n + 1) + dens n)) < |v - convs n|.
The branch is rebased on master 85b64c1. Approximations.lean compiles with no warning. ApproximationCorollaries and DiophantineApproximation.ContinuedFractions build. Axioms: propext, Classical.choice, Quot.sound.
AI disclosure: Claude Science Opus 5.5 drafted the proof by adapting abs_sub_convs_le. A second agent changed if_false to ite_false and removed two unused simp arguments, then recompiled. lint-style and runLinter passed on master 6a00b6b4 and were not rerun after the rebase to 85b64c1. A content search on 6a00b6b4 and a GitHub issue search found no equivalent lower bound. The human author has not certified a line-by-line reading of the proof.
---
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|
t-algebra
new-contributor
label:t-algebra$ |
58/1 |
Mathlib/Algebra/ContinuedFractions/Computation/Approximations.lean |
1 |
2 |
['github-actions'] |
nobody |
8-25263 8 days ago |
8-26254 8 days ago |
8-25975 8 days |
0 |
| 43280 |
idontgetoutmuch author:idontgetoutmuch |
feat(Topology/VectorBundle): coordinate lemmas for the bundle of bilinear forms |
Two coordinate-level identities for the bundle of scalar-valued bilinear forms
`fun x ↦ E₁ x →L[𝕜] E₁ x →L[𝕜] 𝕜` over a vector bundle, added to
`Mathlib/Topology/VectorBundle/Hom.lean`:
- `inCoordinates_apply_eq₂_bilin`: specialisation of `inCoordinates_apply_eq₂` to
scalar-valued forms on a single bundle (`E₂ = E₁`, `E₃ = Bundle.Trivial B 𝕜`);
- `trivializationAt_symm_apply_bilin`: the inverse trivialization of the bilinear-forms
bundle, applied to fibre vectors, equals the model form on their images under
`continuousLinearMapAt`.
`Hom.lean` now imports `Mathlib.Topology.VectorBundle.Constructions`, which is needed
for the `Bundle.Trivial` instances used in these statements.
`inCoordinates_apply_eq₂_bilin` is used to simplify six proof steps in
`Mathlib/Topology/VectorBundle/Riemannian.lean`, which previously applied
`inCoordinates_apply_eq₂ h h (Set.mem_univ _)` and then simplified away the trivial-bundle
`linearMapAt` by hand. Two ad hoc `convert!` proofs there are replaced by the existing
`Trivialization.symm_linearMapAt`.
This is the first piece split out of #33714 (existence of a Riemannian metric on a
manifold), which will be rebased on top of this PR. |
t-topology
new-contributor
|
45/20 |
Mathlib/Topology/VectorBundle/Hom.lean,Mathlib/Topology/VectorBundle/Riemannian.lean |
2 |
21 |
['github-actions', 'grunweg', 'idontgetoutmuch'] |
nobody |
8-23067 8 days ago |
8-23067 8 days ago |
30-37138 30 days |
0 |
| 44137 |
MrBrain295 author:MrBrain295 |
chore(Combinatorics/SimpleGraph): golf `Coloring.odd_length_iff_not_c… |
…ongr`
---
<!-- Your PR title will become the first line of the commit message.
In this box, the text above the `---` (if not empty) will be appended
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details. Please leave a blank newline before the `---`, otherwise GitHub
will format the text above it as a title.
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https://leanprover-community.github.io/contribute/index.html
In particular, note that most reviewers will only notice your PR
if it passes the continuous integration checks.
Please ask for help on https://leanprover.zulipchat.com if needed.
When merging, all the commits will be squashed into a single commit
listing all co-authors.
Co-authors in the squash commit are gathered from two sources:
First, all authors of commits to this PR branch are included. Thus,
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each co-author among the commits in the pull request. If necessary, you
may create empty commits to indicate co-authorship, using commands like so:
git commit --author="Author Name <author@email.com>" --allow-empty -m "add Author Name as coauthor"
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the commit message (that is, directly before the `---`) using the following format:
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|
t-combinatorics
new-contributor
|
1/2 |
Mathlib/Combinatorics/SimpleGraph/Coloring/Constructions.lean |
1 |
2 |
['github-actions'] |
nobody |
8-22302 8 days ago |
8-23545 8 days ago |
8-23266 8 days |
0 |
| 43595 |
localecho author:localecho |
feat(NumberTheory/Transcendental/Liouville): irrational reals are LiouvilleWith for 1 < p ≤ 2 |
Closes the gap noted in this file's module doc — the reverse implication for 1 < p ≤ 2 was flagged 'not formalized yet' since 2021. Proved via Dirichlet approximation (Real.infinite_rat_abs_sub_lt_one_div_den_sq_of_irrational) plus a finite-fiber argument on denominators, rather than continued fractions directly.
----
Formalized with Claude's help, verified by a clean lake build.
Posted about this gap in #new-members first: https://leanprover.zulipchat.com/#narrow/channel/113489-new-members/topic/Intro.3A.20Brigham.20Hall.20.3B.20LiouvilleWith.20gap.20for.201.20.3C.20p.20.E2.89.A4.202/near/622672679 |
t-number-theory
new-contributor
LLM-generated
|
76/2 |
Mathlib/NumberTheory/Transcendental/Liouville/LiouvilleWith.lean |
1 |
4 |
['SnirBroshi', 'github-actions', 'metakunt'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
7-77009 7 days ago |
22-83816 22 days ago |
22-83537 22 days |
0 |
| 42116 |
jyh author:jyh |
feat(Counterexamples): the Jacobian conjecture is false |
We verify that the Jacobian conjecture is false, using the 2026 counterexample of Levent Alpöge (crediting Akhil Mathew), which gives an explicit polynomial self-map of ℚ³ with Jacobian determinant −2 that is not injective. Hence it admits no polynomial (nor even set-theoretic) inverse.
The statement here is aligned with the formalization in google-deepmind/formal-conjectures PR [#4474](https://github.com/google-deepmind/formal-conjectures/pull/4474) (merged 2026-07-26). The correspondence is documented term-by-term in a comment block in this file. Both formalizations independently transcribe Alpöge's Theorem 3.1, which is why the polynomials coincide. The verification adapted here predates the FC disproof and was published independently at jyh/jacobian-verify. Here is the discussion on Zulip: https://leanprover.zulipchat.com/#narrow/channel/583339-AI-authored-projects/topic/Counterexample.20to.20the.20Jacobean.20conjecture
This contribution was developed in collaboration with Claude (Anthropic). The Lean code was written by Claude (Anthropic — Claude Code, with Opus and Fable models) working under my direction. I worked with Claude to align and verify the statement against FC. I reviewed every line and every design decision (the DecidableEq substitution, the CharZero retention, the transpose bridge, the ℚ-concretization) and I can defend each without assistance. |
LLM-generated
new-contributor
t-algebra
label:t-algebra$ |
310/0 |
Counterexamples.lean,Counterexamples/JacobianConjecture.lean |
2 |
7 |
['felixpernegger', 'github-actions', 'jyh', 'mathlib-merge-conflicts', 'ocfnash'] |
nobody |
7-71405 7 days ago |
7-72480 7 days ago |
12-13531 12 days |
0 |
| 39212 |
emlis42 author:emlis42 |
feat(Algebra/ContinuedFractions): add `partNumsStream'` and `partNumsStream'` |
This PR adds `partNumsStream'` and `partDensStream'`, which provide infinite stream representations for the sequences of partial numerators and denominators of a generalized continued fraction. |
t-algebra
new-contributor
label:t-algebra$ |
68/36 |
Mathlib/Algebra/ContinuedFractions/Basic.lean,Mathlib/Algebra/ContinuedFractions/ContinuantsRecurrence.lean,Mathlib/Algebra/ContinuedFractions/Determinant.lean,Mathlib/Algebra/ContinuedFractions/Euler.lean,Mathlib/Algebra/ContinuedFractions/Translations.lean |
5 |
7 |
['emlis42', 'eric-wieser', 'github-actions', 'grunweg', 'mathlib-merge-conflicts'] |
alreadydone assignee:alreadydone |
7-20891 7 days ago |
7-23035 7 days ago |
141-30000 141 days |
0 |
| 36323 |
SproutSeeds author:SproutSeeds |
feat(Inversion): discontinuity and center/global fderiv formulas |
Part of #5939
I removed the `[Nontrivial F]` requirement and the nonzero-radius assumption from both `fderiv` formulas. The center lemma now explicitly covers the zero-radius case and subsingleton spaces, is marked with `@[simp]`, and is reused in the global formula.
The discontinuity lemma still retains its original assumptions, and I updated the center lemma’s docstring to explain when zero is used as the fallback value at a point where the function is not differentiable.
Rebased the inversion follow up onto current master after #36313 merged, removing the duplicated `Basic.lean` history and leaving only the intended `Calculus.lean` changes.
The incremental scope above #36313 is limited to `Mathlib/Geometry/Euclidean/Inversion/Calculus.lean`.
## Verification
- `lake build Mathlib.Geometry.Euclidean.Inversion.Calculus`
- `lake exe lint-style Mathlib.Geometry.Euclidean.Inversion.Calculus`
- `git diff --check`
The revision has been pushed. The local build passes, along with all 11 regression examples and the lint checks, and the hosted CI is green as well.
I used Codex to help with the implementation and verification.
---
Happy to adjust naming, placement, or proof style based on maintainer preference.
|
t-euclidean-geometry
new-contributor
LLM-generated
maintainer-merge
|
27/0 |
Mathlib/Geometry/Euclidean/Inversion/Calculus.lean |
1 |
10 |
['SproutSeeds', 'github-actions', 'jsm28', 'mathlib-merge-conflicts'] |
nobody |
6-86205 6 days ago |
17-67402 17 days ago |
49-13979 49 days |
0 |
| 41920 |
junjihashimoto author:junjihashimoto |
feat(Analysis/CliffordAlgebra): the pseudoscalar of Cl(n,0) and its complex structure |
We study the Clifford algebra of Euclidean `n`-space (the quadratic form `x ↦ ⟪x, x⟫_ℝ` on `EuclideanSpace ℝ (Fin n)`). The pseudoscalar `ω = e₀ ⋯ eₙ₋₁` satisfies
* `ω * ω = (-1) ^ (n.choose 2)` (`pseudoscalar_mul_pseudoscalar'`),
* `γᵢ * ω = (-1) ^ (n - 1) • (ω * γᵢ)` (`γ_mul_pseudoscalar`),
so it is central for odd `n`, and a square root of `-1` iff `n ≡ 2, 3 [MOD 4]`. In that case left multiplication by `ω` is a complex structure: we provide a scoped `Module ℂ` instance (via `Complex.liftAux` and `Module.compHom`; no commutation is needed for a module structure, which covers the non-central case `n ≡ 2 [MOD 4]`), and for `n ≡ 3 [MOD 4]` an `Algebra ℂ` structure as a non-instance def.
The sign computations are done by moving a generator through a product of distinct generators (`γ_mul_prod`, `γ_mul_prod_mem`, `prod_sq`), with no case analysis on `n`.
In a follow-up PR this makes the Clifford–Fourier transform (Ebling–Scheuermann) an instance of the ordinary vector-valued Fourier transform, giving Plancherel's theorem and the inversion formula.
- [ ] depends on: (nothing)
|
t-analysis
new-contributor
|
303/0 |
Mathlib.lean,Mathlib/Analysis/CliffordAlgebra/Euclidean.lean |
2 |
5 |
['eric-wieser', 'github-actions', 'j-loreaux'] |
urkud assignee:urkud |
6-77019 6 days ago |
74-38070 74 days ago |
74-38291 74 days |
1 |
| 42693 |
justin-palumbo author:justin-palumbo |
feat(Topology/MetricSpace): a Gδ subset of a Polish space is Polish |
Adds `IsGδ.polishSpace`: a Gδ subset of a Polish space is Polish, which strengthens the existing IsOpen.polishSpace.
The proof follows the outline in Anush Tserunyan's descriptive set theory notes, https://www.math.mcgill.ca/atserunyan/Teaching_notes/dst_lectures.pdf where it is attributed to A. Bernshteyn. The "usual" approach (as in Kechris's Classical Descriptive Set Theory) constructs a complete compatible metric (the "Alexandrov metric"). The approach taken here is snappier to formalize - the idea is to give a closed embeddding from the G\delta set into another Polish space, and appeal to the fact closed subsets of Polish spaces are Polish. [Note the Alexandrov metric is recoverable from the embedding via the induced complete metrics on the product topology.]
---
Question: `IsOpen.polishSpace` could now be proven directly from`isGδ.polishSpace`, and `CompleteCopy` completely retired. That feels cleaner to me, given `CompleteCopy` has had no users since it was ported along with everything else in 2023: #3357. The main argument for keeping is that leveraging `CompleteCopy` is slightly more explicit in proving that open subsets are Polish. Happy to remove in a follow-up, in this PR, or not at all :)
LLM usage disclaimer: I wrote an original local version of this PR myself, and then used Claude Opus to double-check / simplify / help me pull out names of relevant theorems from mathlib. The primary non-trivial contribution from LLM was idea of leveraging isClosed_eq (ie proving closure of range by framing the range of the embedding as a countable intersection of pairs satisfying closed equations). I take full responsibility for the code here |
new-contributor
t-topology
|
117/2 |
Mathlib/Topology/MetricSpace/Polish.lean |
1 |
9 |
['felixpernegger', 'github-actions', 'justin-palumbo'] |
ADedecker assignee:ADedecker |
6-77015 6 days ago |
50-15838 50 days ago |
50-15559 50 days |
0 |
| 42955 |
mpacholski author:mpacholski |
feat(diffgeo): add Hom-bundle support and fix pullback base points in T% elaborator |
# Changes
## `Mathlib/Geometry/Manifold/Notation.lean`
* **Add support for pullback bundles:** Replaced the hardcoded bound variable `x` with the dynamically extracted argument `arg`, which allows for using elaborator `T%` with pullback bundles, where the base point lies in a different manifold, e.g. `v : Π (m : M), E₁ (b m)`, where `b : M → B`.
* **Add support for Hom-bundles:** The elaborator now supports sections of Hom-bundles (`ContinuousLinearMap` between two fiber bundles, e.g. `ϕ : ∀ x, (E₁ x →L[𝕜] E₂ x`). It also supports the case where the base point lies in a different manifold (e.g. `ϕ : ∀ x, (E₁ (b x) →L[𝕜] E₂ (b x))`)
* **Support nested `TangentSpace`:** Modified `findModelFiber?` to natively intercept `TangentSpace` applications and extract the model fiber at index 2. This prevents typeclass synthesis failures when `TangentSpace` is used inside a Hom-bundle.
## `MathlibTest/DifferentialGeometry/Notation/Basic.lean`
* **Added tests for all the new usecases** this includes pullback bundles, Hom-bundles, pullback Hom-bundles, and Hom-bundles where one of the fibers is a `TangentSpace`.
## `Mathlib/Geometry/Manifold/VectorBundle/Hom.lean`
* **Refactor `Hom.lean`:** Replaced verbose `TotalSpace.mk'` boilerplate in with the newly supported `T%` syntax (e.g. `MDiffAt[s] T% ϕ x` instead of `MDiffAt[s] (fun m ↦ TotalSpace.mk' (F₁ →L[𝕜] F₂) (E := fun (x : B) ↦ (E₁ x →L[𝕜] E₂ x)) (b m) (ϕ m)) x)`
# Use of AI
The help of AI was used in writing the code in `Mathlib/Geometry/Manifold/Notation.lean`. It was hence manually edited to simplify the code as much as possible. While the author is not yet an expert in metaprogramming in Lean, he is willing to learn and receive feedback, and put all the effort to understand the presented code. The code was carefully tested with different parts of it changed and removed to make sure that every line serves a purpose to provide the expected functionality.
---
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[](https://gitpod.io/from-referrer/)
|
t-differential-geometry
new-contributor
LLM-generated
|
127/36 |
Mathlib/Geometry/Manifold/Notation.lean,Mathlib/Geometry/Manifold/VectorBundle/Hom.lean,MathlibTest/DifferentialGeometry/Notation/Basic.lean |
3 |
5 |
['github-actions', 'grunweg', 'mpacholski'] |
nobody |
6-76114 6 days ago |
42-25326 42 days ago |
42-25047 42 days |
3 |
| 42482 |
SauersML author:SauersML |
feat(Probability/Decision): add data processing inequalities for minimax risk |
This PR adds the minimax analogs of the three data processing inequalities for the Bayes risk in Mathlib.Probability.Decision.Risk.Basic.
It is similar to the compositions section in PR #29143, but with minimax.
-----------
Claude Fable 5 wrote the code and GPT 5.6 Sol reviewed the code. This was written for a different project, and I identified this as a candidate for upstreaming into Mathlib.
<!-- Your PR title will become the first line of the commit message.
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[](https://gitpod.io/from-referrer/)
|
t-measure-probability
LLM-generated
new-contributor
|
31/0 |
Mathlib/Probability/Decision/Risk/Basic.lean |
1 |
3 |
['SauersML', 'github-actions'] |
nobody |
6-76113 6 days ago |
56-73837 56 days ago |
56-73558 56 days |
0 |
| 43904 |
t4v1 author:t4v1 |
feat(MeasureTheory/Constructions/HaarToSphere): polar coordinates for lintegral |
`Measure.measurePreserving_homeomorphUnitSphereProd` represents an additive Haar measure on a nontrivial finite-dimensional normed space `E` as the product of the sphere measure `μ.toSphere` and Lebesgue measure on `(0, ∞)` with density `r ^ (dim E - 1)`. The file exposes it only through the radial corollaries `integrable_fun_norm_addHaar`, `integrableOn_fun_norm_addHaar` and `integral_fun_norm_addHaar`, all for integrands of the form `f ‖x‖`.
This PR adds the general `lintegral` form, for an arbitrary measurable `f : E → ℝ≥0∞`:
* `lintegral_addHaar_eq_lintegral_toSphere_lintegral_Ioi`:
`∫⁻ x, f x ∂μ = ∫⁻ ω, ∫⁻ r in Ioi 0, ENNReal.ofReal (r ^ (dim E - 1)) * f (r • ω) ∂μ.toSphere`;
* `setLIntegral_ball_eq_lintegral_toSphere_lintegral_Ioo`: the same for `∫⁻ y in ball c R, f y ∂μ`, with the radial integral over `Ioo 0 R` and the rays emanating from `c`.
Both are needed for Morrey's inequality (follow-up PR), whose two analytic steps integrate non-radial functions in polar coordinates; they are stated here on their own because they are independent of it.
The proofs were developed with the help of an LLM (Claude Code) and then checked and edited by the author, who takes responsibility for every line.
|
t-measure-probability
new-contributor
LLM-generated
|
47/0 |
Mathlib/MeasureTheory/Constructions/HaarToSphere.lean |
1 |
3 |
['github-actions', 't4v1'] |
nobody |
6-58698 6 days ago |
14-1638 14 days ago |
14-1359 14 days |
1 |
| 41696 |
vaca22 author:vaca22 |
feat(RingTheory): generalize relNorm_eq_pow_of_isMaximal to separable fraction field extensions |
This PR relaxes the hypothesis of Ideal.relNorm_eq_pow_of_isMaximal and its supporting Ring.NormalClosure instances.
Originally the theorem required the fraction ring of base Dedekind domain R to be a perfect field. Now we only require the fraction field extension to be separable.
The perfect field condition excludes function fields with imperfect constant fields, which is an important case we want to support. The core mathematical insight is that the normal closure of a separable field extension stays separable, so we can construct the Galois structure without a perfect base.
This change is fully backwards compatible: any existing code relying on the old perfect field assumption still compiles, since perfect fields automatically give separable extensions. Only two files are modified: NormalClosure.lean and RelNorm.lean, with small diff and no extra imports.
AI disclosure: I used AI tools to assist with initial code drafting and full CI validation. All mathematical reasoning and proof logic I worked through independently, and I can explain every adjustment in review. My original PR text relied too heavily on AI output, I’ve fully rewritten this description manually. |
new-contributor
t-ring-theory
LLM-generated
|
22/3 |
Mathlib/FieldTheory/Galois/Basic.lean,Mathlib/FieldTheory/SeparableClosure.lean,Mathlib/RingTheory/Ideal/Norm/RelNorm.lean,Mathlib/RingTheory/NormalClosure.lean |
4 |
25 |
['felixpernegger', 'github-actions', 'leanprover-radar', 'vaca22', 'xroblot'] |
nobody |
6-44206 6 days ago |
11-57419 11 days ago |
73-12271 73 days |
0 |
| 41781 |
teng10 author:teng10 |
feat(Algebra/Representation): add abstract permutation action in TensorPower |
Hello, I'm a new contributor. I had an introduction here on [zulip](https://leanprover.zulipchat.com/#narrow/channel/113489-new-members/topic/Introduction.3A.20Schur.20Weyl.20Duality/with/607194314)
This PR is a first step in formalizing Shur Weyl duality, which I got feedback that it would be useful to mathlib. The final statement I had in mind has the form
/--
The centralizer of `{g^{⊗k} | g ∈ End(V)}`equals `Span{W_σ | σ ∈ S_k}`, for all dimensions `d` and tensor powers `k`.
---/
This PR tries to define permutation action on TensorPower; define permutation image space.
An initial version of the definition is more specific to the Euclidean space (for reference I list them below)
```
open scoped TensorProduct
variable {d : ℕ} {k : ℕ}
/-- The `k`-fold tensor power of `ℂ^d`, defined as `⨂[ℂ] (i : Fin k), (Fin d → ℂ)`. -/
abbrev PiTensorPower (d k : ℕ) : Type :=
PiTensorProduct ℂ (fun (_ : Fin k) => (Fin d → ℂ))
/-- The permutation operator `W_σ` on the tensor power `V^{⊗k}`.
Given `σ : Equiv.Perm (Fin k)`, this acts by permuting the tensor factors:
`W_σ (v₁ ⊗ ⋯ ⊗ vₖ) = v_{σ⁻¹(1)} ⊗ ⋯ ⊗ v_{σ⁻¹(k)}`. -/
def permAction (d : ℕ) {k : ℕ} (σ : Equiv.Perm (Fin k)) :
PiTensorPower d k ≃ₗ[ℂ] TensV d k :=
PiTensorProduct.reindex ℂ (fun (_ : Fin k) => (Fin d → ℂ)) σ
/-- The set of permutation operators in `End(V^{⊗k})`. -/
def permImage (d k : ℕ) : Set (Module.End ℂ (TensV d k)) :=
Set.range (fun σ : Equiv.Perm (Fin k) => (permAction d σ).toLinearMap)
```
LLM acknowledgement: I have used aristotle to write these definitions. However, I am very motivated to learn how to write proper code. I have looked more into `PiTensorProduct` and `TensorPower` module and came to the abstract version in the PR. I tried to ask aristotle about how it's defining things and whether it's suitable for mathlib.
And I would very much appreciate your thoughts on how appropriate these definitions are. Thanks for your time!
Yanting
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
LLM-generated
new-contributor
will-close-soon
label:t-algebra$ |
22/0 |
Mathlib/LinearAlgebra/TensorPower/Basic.lean |
1 |
5 |
['github-actions', 'joelriou', 'teng10'] |
joelriou assignee:joelriou |
6-34729 6 days ago |
78-23026 78 days ago |
78-22763 78 days |
0 |
| 42142 |
philipp-svinger author:philipp-svinger |
feat(Analysis/ODE): peano existence theorem, Tonelli approximation 1 |
Add Tonelli approximation method for ODEs.
Implement the structure IsPeano similar to IsPicardLindelof. Construct a sequence of approximations using Tonelli technique.
First step towards Peano existence
Co-authored-by: Florian Grube <fgrube@math.uni-bielefeld.de>
Co-authored-by: Paul Niessner <pniessner@math.uni-bielefeld.de>
Co-authored-by: Julian Rolfes <jrolfes@math.uni-bielefeld.de>
Co-authored-by: Luke Schleef <lschleef@math.uni-bielefeld.de>
Co-authored-by: Philipp Svinger <psvinger@math.uni-bielefeld.de>
---
We want to add the proof of the Peano existence theorem for ODEs, using Tonelli approximations.
This will be a series of PRs working towards this goal. In this first PR, we
implement the structure IsPeano similar to IsPicardLindelof and construct a sequence of approximations using Tonelli technique. See our further PRs for more information, last: #42148
---
The statements, definitions and proofs were written without AI.
AI was used afterwards to help us to adapt our code to the style and naming conventions.
We also used it in the process of writing a documentation.
<!-- Your PR title will become the first line of the commit message.
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at the bottom of the commit message (before the `---`, and also before
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Moves:
- Vector.* -> List.Vector.*
- ...
Deletions:
- Nat.bit1_add_bit1
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[](https://gitpod.io/from-referrer/)
|
t-analysis
new-contributor
|
207/0 |
Mathlib.lean,Mathlib/Analysis/ODE/Peano.lean |
2 |
24 |
['github-actions', 'mcdoll', 'philipp-svinger', 'sgouezel'] |
sgouezel assignee:sgouezel |
6-8923 6 days ago |
6-9050 6 days ago |
62-58208 62 days |
5 |
| 41308 |
sergantche author:sergantche |
feat: add `List.insertIdx_eraseIdx_getElem_perm` |
Adds `List.insertIdx_eraseIdx_getElem_perm`, showing that erasing an element by index and inserting it at any valid position gives a permutation of the original list.
This packages the existing lemmas `List.perm_insertIdx` and `List.getElem_cons_eraseIdx_perm` into a direct API lemma.
AI assistance was used in preparing this PR; I reviewed the statement and proof.
[](https://gitpod.io/from-referrer/) |
t-data
new-contributor
LLM-generated
|
5/0 |
Mathlib/Data/List/Perm/Basic.lean |
1 |
5 |
['github-actions', 'sergantche', 'vlad902'] |
joneugster assignee:joneugster |
5-77012 5 days ago |
81-491 81 days ago |
85-3607 85 days |
0 |
| 40582 |
dennj author:dennj |
feat(Analysis): the one-sided Laplace transform |
Introducing Laplace transform `ℒ(f)(s) = ∫ t in Ioi 0, exp (-s * t) • f t`
It is needed in physlib
I modelled the file following Mellin transform.
## Main definitions
* `LaplaceConvergent f s`: the Laplace integral is well-defined at `s`.
* `laplace f s`: the Laplace transform, a total function
* `HasLaplace f s m`: convergence together with the value `m`.
## Main results
* Linearity: `laplace_add`/`sub`/`const_smul`/`neg`/`zero`/`div_const`, at the `laplace`, `LaplaceConvergent`, and `HasLaplace` levels.
* `laplaceConvergent_iff_norm`, `norm_laplace_le_integral_norm`: reduction of convergence and norm bounds to the real exponential weight.
* `laplaceConvergent_of_isBigO_exp`: existence for functions of exponential order, on the appropriate right half-plane.
* `LaplaceConvergent.of_re_le`/`of_re_lt`: monotonicity of convergence in `s.re` (the half-plane structure).
* `laplace_cexp_smul`: the frequency-shift rule.
* `laplace_indicator_comp_sub`: the time-shift rule.
* `laplace_comp_mul_left`/`right`: behaviour under positive dilation.
* `hasLaplace_const`/`hasLaplace_one`/`hasLaplace_cexp`: basic transform values.
Human made PR |
t-measure-probability
new-contributor
|
653/0 |
Mathlib.lean,Mathlib/Analysis/LaplaceTransform.lean |
2 |
34 |
['AlyciaBHZ', 'EtienneC30', 'dennj', 'github-actions', 'mathlib-splicebot'] |
nobody |
5-76111 5 days ago |
56-25699 56 days ago |
108-70467 108 days |
0 |
| 43964 |
benpigchu author:benpigchu |
feat(Geometry/Euclidean): theorems to prove line parallel from relation between oangles |
We have `EuclideanGeometry.two_zsmul_oangle_of_parallel` to derive relationship of oangles from parallel lines, but we do not have theorems to prove parallel of lines from relationship of oangles. This PR add theorems for that, and their iff version.
---
[](https://gitpod.io/from-referrer/) |
t-euclidean-geometry
new-contributor
maintainer-merge
|
110/0 |
Mathlib/Geometry/Euclidean/Angle/Oriented/Affine.lean,Mathlib/Geometry/Euclidean/Angle/Oriented/Basic.lean |
2 |
4 |
['github-actions', 'jsm28'] |
jsm28 assignee:jsm28 |
5-61226 5 days ago |
12-36496 12 days ago |
12-36217 12 days |
0 |
| 44221 |
SamuelSchlesinger author:SamuelSchlesinger |
feat(Combinatorics/SetFamily): erdős–rado sunflower lemma |
Define `Set.IsSunflower`, a family of elements of a meet-semilattice whose distinct members pairwise meet in a fixed kernel, with a basic API around it, and then prove the Erdős–Rado sunflower lemma: a family of more than `(p - 1) ^ r * r !` finsets of size at most `r` contains a sunflower with `p` petals, together with the uniform special case.
I use this downstream to show circuit lower bounds on the clique language, but it is used in various areas of complexity and combinatorics.
This PR was assisted by Claude Opus 5.5. In particular, I extracted this from another formalization project that was also assisted by AI.
---
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-->
|
t-combinatorics
new-contributor
LLM-generated
|
215/0 |
Mathlib.lean,Mathlib/Combinatorics/SetFamily/Sunflower.lean,docs/references.bib |
3 |
4 |
['SamuelSchlesinger', 'github-actions'] |
nobody |
5-57576 5 days ago |
5-59857 5 days ago |
5-59578 5 days |
0 |
| 44222 |
SamuelSchlesinger author:SamuelSchlesinger |
feat(Analysis/SpecialFunctions/Stirling): asymptotics of the central binomial coefficient |
Upstreaming `n.centralBinom ~ 4 ^ n / √(π * n)` and its `4 ^ n`-normalised corollaries,
needed for a Razborov–Smolensky `AC⁰[p]` lower bound in a circuit-complexity formalization,
together with the Catalan asymptotic `catalan n ~ 4 ^ n / (√π * n ^ (3 / 2))` as a first
application in Mathlib.
Drafted with Claude Code from my existing proof of the same statement, then revised by me
against Mathlib conventions.
---
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|
t-analysis
LLM-generated
new-contributor
|
85/1 |
Mathlib.lean,Mathlib/Analysis/SpecialFunctions/Stirling.lean,Mathlib/Combinatorics/Enumerative/Catalan/Asymptotics.lean |
3 |
4 |
['SamuelSchlesinger', 'github-actions'] |
nobody |
5-56788 5 days ago |
5-57709 5 days ago |
5-57430 5 days |
0 |
| 38369 |
quantumsnow author:quantumsnow |
feat(AlgebraicTopology): Eilenberg Steenrod axioms |
This introduces the Eilenberg-Steenrod axioms for a homology theory.
---
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-->
- [x] depends on: #36621
- [x] depends on: #39236
- [x] depends on: #44044
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebraic-topology
large-import
increases-technical-debt
|
256/14 |
Mathlib/AlgebraicTopology/EilenbergSteenrod.lean,Mathlib/CategoryTheory/Comma/Arrow.lean,Mathlib/Topology/Category/TopPair.lean |
3 |
99 |
['Multramate', 'chrisflav', 'dagurtomas', 'github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'quantumsnow'] |
robin-carlier assignee:robin-carlier |
5-47484 5 days ago |
6-29982 6 days ago |
72-13727 72 days |
0 |
| 44214 |
ZRTMRH author:ZRTMRH |
feat(Analysis/SpecialFunctions): taylor series bounds for sin and cos |
Adds `Mathlib/Analysis/SpecialFunctions/Trigonometric/SeriesBounds.lean` with three groups of results:
1. Remainder bounds on the unit disc at every order: `Complex.sin_series_bound`, `Complex.cos_series_bound` and their real forms. Ported from #29355, taken over with the author's agreement. This PR supersedes #29355, which can be closed when this lands.
2. `Real.sum_lt_sin_of_pos`, `Real.sin_lt_sum_of_pos`, `Real.sum_lt_cos_of_pos`, and `Real.cos_lt_sum_of_pos`: `sin x` and `cos x` lie between consecutive partial sums of their Taylor series. Yury posted on Zulip in October 2025 with a request that someone open a PR for it ([Upper and Lower Bounds of Cosine](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Upper.20and.20Lower.20Bounds.20of.20Cosine/near/546287708)), it had not been opened.
4. Six low-order corollaries, as completion to `one_sub_sq_div_two_lt_cos` and `sin_gt_sub_cube` which Mathlib already has: `cos_lt/le_one_sub_sq_div_two_add_pow_four`, `sin_lt/le_sub_cube_add_pow_five`, and `sub_cube_add_pow_five_lt/le_sin` for negative arguments.
The 6 low-order corollaries and the docstrings were written with AI assistance (Claude). The code has been reviewed by the author.
Co-authored-by: Geoffrey Irving <irving@naml.us>
Co-authored-by: Yury G. Kudryashov <urkud@urkud.name>
---
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the commit message (that is, directly before the `---`) using the following format:
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-->
|
LLM-generated
new-contributor
|
299/0 |
Mathlib.lean,Mathlib/Algebra/BigOperators/Ring/Finset.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/SeriesBounds.lean |
3 |
52 |
['SnirBroshi', 'ZRTMRH', 'github-actions', 'wwylele'] |
nobody |
5-15754 5 days ago |
5-18114 5 days ago |
5-32548 5 days |
0 |
| 41337 |
gotrevor author:gotrevor |
doc(1000-yaml): add Goodstein's theorem and the Kirby–Paris theorem |
Claims two listed-but-unclaimed entries in the 1000+ theorems scoreboard by adding external-formalization pointers (no mathlib declaration; same pattern as Löb's theorem [`Q204884`](https://github.com/leanprover-community/mathlib4/blob/master/docs/1000.yaml#L201), the flypitch continuum-hypothesis independence [`Q208416`](https://github.com/leanprover-community/mathlib4/blob/master/docs/1000.yaml#L216), and Arrow's impossibility theorem [`Q33481`](https://github.com/leanprover-community/mathlib4/blob/master/docs/1000.yaml#L30)).
## Entries
| Wikidata | Theorem | Formalization |
|----------|---------|---------------|
| `Q1149185` | **Goodstein's theorem** — every Goodstein sequence terminates | [`lean-gallery`](https://github.com/gotrevor/lean-gallery/blob/main/LeanGallery/Logic/Goodstein/Statement.lean) (ordinal-descent proof) |
| `Q1149185X` | **Kirby–Paris theorem** — PA does not prove that every Goodstein sequence terminates | [`goodstein-independence`](https://github.com/gotrevor/goodstein-independence/blob/main/src/GoodsteinPA/Statement.lean) |
## Notes
- **`Q1149185X` (Kirby–Paris, 1982)** is built on the [`FormalizedFormalLogic/Foundation`](https://github.com/FormalizedFormalLogic/Foundation) library (the same library that backs the existing Löb's-theorem entry [`Q204884`](https://github.com/leanprover-community/mathlib4/blob/master/docs/1000.yaml#L201)), via the Wainer growth-rate route (`Goodstein` outgrows every PA-provably-total function). The headline `peano_not_proves_goodstein` is sorry-free and `#print axioms`-clean — it rests on exactly `[propext, Classical.choice, Quot.sound]`.
- **`Q1149185`** is Goodstein's theorem proper (the termination statement, provable in ZFC / Lean); mathlib does not currently contain it.
- Both formalizations are by Trevor Morris, developed with AI assistance: Claude Code (Fable 5, Opus), Codex, and Harmonic's Aristotle.
🤖 Generated with [Claude Code](https://claude.com/claude-code) |
new-contributor
LLM-generated
|
6/0 |
docs/1000.yaml |
1 |
6 |
['felixpernegger', 'github-actions', 'gotrevor', 'wwylele'] |
nobody |
5-2413 5 days ago |
89-76589 89 days ago |
89-76310 89 days |
0 |
| 40266 |
WangJiabai author:WangJiabai |
feat(RingTheory/MvPolynomial): define generic determinantal ideals |
This PR adds a foundational API for determinantal ideals of the generic matrix.
It defines `Matrix.MinorIndex`, the corresponding minors of the existing generic
matrix `Matrix.mvPolynomialX`, the finite set of all `t × t` generic minors, and
the ideal generated by these minors in `MvPolynomial (Fin m × Fin n) R`.
It also proves basic membership, evaluation, coefficient-map/base-change, and
finite-generation lemmas.
This PR intentionally does not include the Sturmfels/KRS/straightening/Groebner
part of the development.
---
<!-- Your PR title will become the first line of the commit message.
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Co-authors in the squash commit are gathered from two sources:
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git commit --author="Author Name <author@email.com>" --allow-empty -m "add Author Name as coauthor"
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the commit message (that is, directly before the `---`) using the following format:
Co-authored-by: Author Name <author@email.com>
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at the bottom of the commit message (before the `---`, and also before
any "Co-authored-by" lines) using the following format:
Moves:
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- ...
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- Nat.bit1_add_bit1
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-->
Additional context:
This is extracted and refactored from a standalone project on determinantal
ideals and the Gröbner-basis theorem for generic determinantal ideals:
https://github.com/WangJiabai/Determinantal-Ideals-Formalization
The current PR is intentionally limited to the small foundational API for
generic minors and generic determinantal ideals.
AI use:
ChatGPT was used for planning/refactoring discussion, and Codex was used to
draft some proof scripts. I reviewed the statements and proofs and am
responsible for the submitted code.
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
LLM-generated
|
180/0 |
Mathlib.lean,Mathlib/RingTheory/MvPolynomial/DeterminantalIdeal.lean |
2 |
17 |
['WangJiabai', 'github-actions', 'tb65536'] |
jjdishere assignee:jjdishere |
4-77010 4 days ago |
27-45371 27 days ago |
118-1219 118 days |
0 |
| 41258 |
ungatz author:ungatz |
feat(Analysis/Fourier/FiniteAbelian): add the Donoho-Stark support uncertainty principle |
This adds the Donoho–Stark support uncertainty inequality for the unitary Fourier transform on a finite abelian group, plus the supporting Fourier-inversion machinery indexed by the Pontryagin dual `AddChar G ℂ`.
The headline:
> **Theorem `AddChar.donoho_stark`.** For nonzero `f : G → ℂ`,
> `Fintype.card G ≤ (support f).ncard * (support (fourierTransform f)).ncard`,
> where `fourierTransform f ψ = |G|^(-1/2) * ∑ g, conj (ψ g) * f g` ranges over `ψ : AddChar G ℂ`.
The proof is the elementary (L¹, L∞) duality argument that any harmonic-analysis textbook gives for the classical `ZMod N` case; no Parseval or Cauchy–Schwarz is needed. The finite-abelian generalisation is folklore (stated in Tao–Vu *Additive Combinatorics* and Terras *Fourier Analysis on Finite Groups*); I did not find it formalised in Mathlib or any other major library.
### Why this belongs in Mathlib
Mathlib already has the supporting infrastructure — character theory of finite abelian groups (`Mathlib.Algebra.Group.AddChar`), character orthogonality and Pontryagin duality (`Mathlib.Analysis.Fourier.FiniteAbelian.{Orthogonality, PontryaginDuality}`). The Donoho–Stark inequality is the canonical application of all three, and its absence is a real gap: I needed it for a downstream operator-uncertainty result (a diagonal-operator `rank * Pauli-support` bound on the finite Heisenberg group reduces to it) and ended up proving it from scratch. Beyond that use, it is a standard tool in compressed sensing on finite abelian groups, additive combinatorics, and discrete signal recovery (the 1989 paper has ~3500 citations).
### What's in this PR
A single new file, `Mathlib/Analysis/Fourier/FiniteAbelian/DonohoStark.lean`:
- `AddChar.fourierTransform` — the unitary (symmetric) Fourier transform indexed by `AddChar G ℂ`;
- `AddChar.fourier_inversion` — the inversion formula;
- `AddChar.norm_fourierTransform_le`, `AddChar.norm_le_sum_norm_fourierTransform` — the two `L∞ ≤ |G|^(-1/2) · L¹` triangle bounds;
- `AddChar.donoho_stark` — the support uncertainty inequality.
Design choices I expect questions on, and my defaults:
- **`ℂ` rather than `RCLike`**: matches the cited literature and the cleanest home of `AddChar.norm_apply`; happy to generalise if preferred.
- **`Set.ncard` for support sizes**: avoids needing `DecidableEq ℂ` in the statement.
- **A new sibling file** of `Orthogonality.lean` / `PontryaginDuality.lean` rather than a subsection: orthogonality is the tool, Donoho–Stark is the application; can inline if preferred.
Deliberately *not* included: the diagonal-operator `rank * Pauli-support ≥ 2^n` corollary from my workspace — the Pauli-word machinery has no natural home in `Analysis/Fourier` yet; happy to factor it into a follow-up if there is interest.
### AI usage disclosure
Per the [AI contribution policy](https://leanprover-community.github.io/contribute/index.html): the original Lean proof was generated by **Aristotle** (Harmonic AI's automated proof system) from a dispatch containing the statement and the (L¹, L∞) proof strategy, as part of my PhD research workspace. I audited the delivery line by line against Donoho–Stark 1989 (the dispatch also produced a kernel-checked counterexample to a tempting wrong variant — replacing rank by the count of distinct eigenvalues — which the 2×2 identity falsifies). The file here is my adaptation to Mathlib conventions and to current master (module system, `Set.ncard` statement, robust cast handling in the inversion proof), with final tactic-level repairs done with the assistance of Claude (Anthropic). I understand and can defend every line without AI assistance. Please add the `LLM-generated` label (I cannot set labels myself).
### Test plan
- [x] `lake build Mathlib.Analysis.Fourier.FiniteAbelian.DonohoStark` clean (0 errors, 0 warnings).
- [x] `#print axioms` on all five declarations: `[propext, Classical.choice, Quot.sound]`.
- [x] `lake exe lint-style` clean; all lines ≤ 100 chars.
- [x] `Mathlib.lean` updated in alphabetical position.
- [x] Imports minimal (`PontryaginDuality` + `RCLike.Basic` only).
### Reference
Donoho, D. L. and Stark, P. B. (1989). *Uncertainty principles and signal recovery.* SIAM Journal on Applied Mathematics, **49**(3): 906–931. https://doi.org/10.1137/0149053
---
|
t-analysis
new-contributor
LLM-generated
|
283/0 |
Mathlib.lean,Mathlib/Analysis/Fourier/FiniteAbelian/DonohoStark.lean |
2 |
4 |
['YaelDillies', 'copilot-pull-request-reviewer', 'felixpernegger', 'github-actions'] |
fpvandoorn assignee:fpvandoorn |
4-77009 4 days ago |
91-82696 91 days ago |
91-82417 91 days |
0 |
| 41537 |
Mathias-Stout author:Mathias-Stout |
feat(RingTheory/TwoSidedIdeal/Lattice): add lemmas on two-sided ideals |
We add three lemmas on two-sided ideals.
These are analogues of existing lemmas of `Submodule` with the same names.
This prepares a follow-up PR proving that quaternions are central simple.
Co-authored-by: Justus Springer [justusspringer@gmx.de](mailto:justusspringer@gmx.de)
---
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Co-authors in the squash commit are gathered from two sources:
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may create empty commits to indicate co-authorship, using commands like so:
git commit --author="Author Name <author@email.com>" --allow-empty -m "add Author Name as coauthor"
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the commit message (that is, directly before the `---`) using the following format:
Co-authored-by: Author Name <author@email.com>
If you are moving or deleting declarations, please include these lines
at the bottom of the commit message (before the `---`, and also before
any "Co-authored-by" lines) using the following format:
Moves:
- Vector.* -> List.Vector.*
- ...
Deletions:
- Nat.bit1_add_bit1
- ...
Any other comments you want to keep out of the PR commit should go
below the `---`, and placed outside this HTML comment, or else they
will be invisible to reviewers.
If this PR depends on other PRs, please list them below this comment,
using the following format:
- [ ] depends on: #abc [optional extra text]
- [ ] depends on: #xyz [optional extra text]
-->
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
|
13/0 |
Mathlib/RingTheory/TwoSidedIdeal/Lattice.lean |
1 |
5 |
['Whysoserioushah', 'github-actions', 'kbuzzard'] |
mattrobball assignee:mattrobball |
4-77007 4 days ago |
84-19312 84 days ago |
84-26810 84 days |
1 |
| 43229 |
yui9696 author:yui9696 |
feat(Probability/Moments): probability generating function |
Define the probability generating function `pgf X μ t = μ[t ^ X]` of an `ℕ`-valued random variable, mirroring the `mgf` API in `Mathlib/Probability/Moments/Basic.lean`.
API:
- values at `0` and `1`, nonnegativity, monotonicity and boundedness on `[0, 1]`;
- `integrable_pow_pgf`: the defining integrand is integrable on `[-1, 1]` for any finite measure;
- congruence lemmas (`pgf_congr`, `pgf_id_map`, `pgf_congr_identDistrib`);
- `pgf_eq_tsum`: the power-series form `pgf X μ t = ∑' n, μ.real (X ⁻¹' {n}) * t ^ n`;
- `pgf_exp_eq_mgf`: the bridge to the moment-generating function;
- `IndepFun.pgf_add` / `iIndepFun.pgf_sum`: the product formula for sums of independent variables.
Main result: `map_eq_map_of_pgf_eq` — **the generating function determines the law**. The point masses are read off as the coefficients of a power series of radius at least 1 (via `FormalMultilinearSeries.ofScalars`), and the uniqueness of power-series coefficients recovers them from the function.
Everything is stated for a general (finite) measure where possible, with `IsProbabilityMeasure` only where it is genuinely needed.
🤖 Generated with [Claude Code](https://claude.com/claude-code) |
t-measure-probability
LLM-generated
new-contributor
|
234/0 |
Mathlib.lean,Mathlib/Probability/Moments/PGF.lean |
2 |
3 |
['github-actions', 'yui9696'] |
RemyDegenne assignee:RemyDegenne |
4-77004 4 days ago |
32-27559 32 days ago |
32-27280 32 days |
0 |
| 37456 |
Robertboy18 author:Robertboy18 |
feat(LinearAlgebra/AffineSpace): add parallel form of Desargues's theorem |
This PR adds an affine parallel form of the Desargues theorem, following the related Rocq/Coq affine-geometry statement.
**Main changes**
- New file `Mathlib/LinearAlgebra/AffineSpace/Desargues.lean` with `parallel_third_side_of_perspective`.
- Add the corresponding `public import` to `Mathlib.lean`.
**Proof idea**
The proof compares side vectors using `exists_eq_smul_of_parallel` for the two given pairs of parallel sides. The shared comparison along `SA` forces the same scalar, which gives parallelism of the third pair of sides.
Tests: `lake build Mathlib.LinearAlgebra.AffineSpace.Desargues`
AI disclosure: GPT-5.2 Pro was used for assistance with web search/background details about the theorem and for finding useful existing Mathlib lemmas. The theorem statement and Lean formalization were written and checked by hand.
---
[](https://gitpod.io/from-referrer/) |
t-algebra
new-contributor
LLM-generated
label:t-algebra$ |
133/0 |
Mathlib.lean,Mathlib/LinearAlgebra/AffineSpace/Desargues.lean |
2 |
22 |
['Robertboy18', 'SnirBroshi', 'copilot-pull-request-reviewer', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts', 'wwylele'] |
nobody |
4-76117 4 days ago |
26-20769 26 days ago |
51-42406 51 days |
0 |
| 42802 |
Zeta-Wu author:Zeta-Wu |
feat(CategoryTheory): relate equivalences and skeletons |
This PR supersedes the previously closed PR #42789.
It adds several related characterizations of equivalences of categories, together with an API showing that an equivalence induces an isomorphism between the corresponding skeletons.
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[](https://gitpod.io/from-referrer/)
|
t-category-theory
new-contributor
|
67/8 |
Mathlib/CategoryTheory/EssentiallySmall.lean,Mathlib/CategoryTheory/Skeletal.lean |
2 |
33 |
['Zeta-Wu', 'github-actions', 'joelriou', 'robin-carlier'] |
joelriou assignee:joelriou |
4-41109 4 days ago |
5-24493 5 days ago |
42-41009 42 days |
0 |
| 43281 |
keyframe41 author:keyframe41 |
feat(NumberTheory/DiophantineApproximation): prove Hurwitz's approximation theorem |
Prove **Hurwitz's approximation theorem**: for irrational `ξ`, the set of rationals `q` with `|ξ - q| < 1 / (√5 * q.den ^ 2)` is infinite.
This strengthens `Real.infinite_rat_abs_sub_lt_one_div_den_sq_of_irrational` from`Mathlib/NumberTheory/DiophantineApproximation/Basic.lean`, which gives the same statement with constant `1` instead of `√5`. The constant `√5` is optimal, though the sharpness (using the golden ratio) is not included here.
The proof avoids continued fractions and opts for Farey brackets (quadruples `p/q < ξ < r/s` with `q * r - p * s = 1`) packaged as `Real.Hurwitz.IsFarey`. It uses the fact that at least one of `p/q`, `r/s`, and the mediant `(p + r)/(q + s)` satisfies the bound, as if not, we can contradict the irrationality of `√5`. By creating brackets of arbitrarily small width, infinitude follows by the same argument as in `Basic.lean`.
Some design choices:
* No `GenContFract` to avoid continued fractions/recursive sequences. This also follows the spirit of `Basic.lean`, which defines its own `Real.convergent` rather than building Legendre's theorem on `GenContFract.convs`.
* `Real.Hurwitz` namespace. Mirrors `Real.ContfracLegendre` in `Basic.lean` by putting the main result in `Real` and the technical material in a secondary namespace.
* `IsGoodApprox` is stated without division ** as `|y * ξ - x| * y * √5 < 1` for easier manipulation and linked to the quotient form in the actual theorem using `Real.Hurwitz.isGoodApprox_div_bound`.
---
I used Claude which suggested the overall strategy/lemmas and reviewed naming and documentation against the mathlib conventions. All proofs are my own. As a first-time contributor, AI was also used to help in learning Lean.
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[](https://gitpod.io/from-referrer/)
|
t-number-theory
new-contributor
|
359/0 |
Mathlib.lean,Mathlib/NumberTheory/DiophantineApproximation/Hurwitz.lean |
2 |
11 |
['SnirBroshi', 'github-actions'] |
loefflerd assignee:loefflerd |
4-27771 4 days ago |
30-54431 30 days ago |
30-55351 30 days |
0 |
| 44248 |
tomaz1502 author:tomaz1502 |
feat(Analysis/Polynomial): the sign of a polynomial immediately to the right of a point |
This PR defines `Polynomial.signRight x p : SignType`, the sign that a real polynomial `p` takes
on a small interval `(x, x + ε)`, as the limit of `sign (p.eval y)` as `y → x` from the right, and
develops its basic API:
* `eventually_sign_eq_signRight`, `signRight_eq_iff`: the defining property and its uniqueness;
* `signRight_eq_zero_iff`: `signRight x p = 0` iff `p = 0`;
* `signRight_mul`, `signRight_neg`, `signRight_C`: `signRight x` is multiplicative, commutes with
negation and agrees with `SignType.sign` on constants;
* `signRight_of_eval_ne_zero`, `signRight_of_eval_eq_zero`: the computation rule
`signRight x p = sign (p.eval x)` if `p.eval x ≠ 0`, and `signRight x p = signRight x (derivative p)`
otherwise (via the mean value theorem).
This is the local invariant behind Sturm's theorem: it determines the direction in which the sign
of a Sturm sequence changes across a root, and it will be used to define the Cauchy index in the
next PR of the series.
This is the third PR of a series formalising the Sturm–Tarski theorem, following #43783
(`List.signVariations`) and #43954 (`Polynomial.sturmSeq`). Everything is stated over `ℝ`; the
statements hold over any real closed field, and the implementation notes record what is needed to
generalise them.
Co-authored-by: Pedro Saccomani <psaccomani15@gmail.com>
Co-authored-by: Sarah Pereira <sarahcomh@proton.me>
Co-authored-by: Kim Morrison <477956+kim-em@users.noreply.github.com>
---
The original development was done manually. We used Claude (Fable 5.1) to review the code,
suggest improvements and help in the preparation of the PR. |
new-contributor |
195/0 |
Mathlib.lean,Mathlib/Algebra/Polynomial/FieldDivision.lean,Mathlib/Analysis/Polynomial/SignRight.lean,Mathlib/Topology/Instances/Sign.lean |
4 |
2 |
['github-actions'] |
nobody |
4-26411 4 days ago |
4-28036 4 days ago |
4-27757 4 days |
0 |
| 44251 |
gotrevor author:gotrevor |
doc(1000-yaml): add the Paris–Harrington theorem |
Adds an external-formalization pointer to the Paris–Harrington entry `Q7137494`, in the same form as my open #41337 (Goodstein / Kirby–Paris).
I know #44115 proposes moving non-mathlib entries out of `1000.yaml` (as @wwylele noted on #41337). I'm opening this anyway so the formalization is easy to find: nobody else needs to redo Paris–Harrington, and anyone who wants to build on it or cite it can start from this one. If #44115 lands, I'm happy to close this and re-home the entry wherever external formalizations end up.
## Entry
| Wikidata | Theorem | Formalization |
|----------|---------|---------------|
| `Q7137494` | **Paris–Harrington theorem**: Peano Arithmetic does not prove the Paris–Harrington principle (the strengthened finite Ramsey theorem with "relatively large" homogeneous sets), though it is true | [`goodstein-independence`](https://github.com/gotrevor/goodstein-independence/blob/main/src/GoodsteinPA/PH/Main.lean) |
## Notes
- Headline: `GoodsteinPA.PH.pa_not_proves_ph`. For every Σ₁ formula defining the principle, PA does not prove its universal closure. Companion theorems: `exists_sigma1_ph_def` (such a formula exists) and `ph_true` (the principle holds, via infinite Ramsey).
- The lower bound follows Buchholz's lecture-notes proof, after Loebl–Nešetřil. Independence then goes through a Wainer-style bound for PA-provable Π₂ sentences, built on the [`FormalizedFormalLogic/Foundation`](https://github.com/FormalizedFormalLogic/Foundation) library, the same library behind the Löb's-theorem entry `Q204884`.
- Developed with AI assistance (Claude Code and Codex).
|
LLM-generated
new-contributor
|
4/0 |
docs/1000.yaml |
1 |
3 |
['github-actions', 'gotrevor'] |
nobody |
4-21356 4 days ago |
4-22342 4 days ago |
4-22063 4 days |
0 |
| 36937 |
Yaohua-Leo author:Yaohua-Leo |
feat(Algebra/Jordan): add first linearization lemmas for IsCommJordan |
[](https://gitpod.io/from-referrer/)
AI assistance disclosure: I used AI assistance for CI/debugging and module-structure fixes in this PR. The mathematical content and main lemmas were written by me, with help from @pelicanhere.
This PR adds a new file `Mathlib/Algebra/Jordan/Linearization.lean` containing linearization lemmas for the commutative Jordan identity.
Main declarations:
* `IsCommJordan.four_nsmul_associator_mul_add`
* `IsCommJordan.associator_mul_add`
These lemmas formalize a first linearization of the commutative Jordan identity using `associator`, following McCrimmon, Proposition 1.8.5.
---
I put these lemmas in a separate file because I expect follow-up linearization lemmas to belong naturally in the same place.
I am also happy to rename declarations or move the file if reviewers would prefer. |
t-algebra
new-contributor
label:t-algebra$ |
152/90 |
Mathlib.lean,Mathlib/Algebra/Jordan/Basic.lean,Mathlib/Algebra/Jordan/Linearization.lean |
3 |
8 |
['Yaohua-Leo', 'github-actions', 'grunweg', 'ocfnash'] |
ocfnash assignee:ocfnash |
3-58158 3 days ago |
3-81332 3 days ago |
17-5463 17 days |
0 |
| 42720 |
justinhalford author:justinhalford |
feat(Order/KrullDimension): level sets of height are antichains |
Adds one lemma to `Mathlib/Order/KrullDimension.lean`, directly after `height_strictMono`:
```lean
lemma isAntichain_lt_height_preimage {n : ℕ∞} (hn : n ≠ ⊤) :
IsAntichain (· < ·) {x : α | height x = n}
```
Elements sharing a common *finite* height are pairwise incomparable — the level sets of `height` are antichains.
### Why
This is the combinatorial content of **Mirsky's theorem**, which partitions a finite-dimensional order into `krullDim + 1` antichains (and is the easy dual of Dilworth's theorem). Neither Mirsky nor Dilworth currently appears in Mathlib — both are on the tracked list in `docs/1000.yaml` without a `decl`, and searching for `Mirsky` and `Dilworth` returns nothing.
Rather than introduce the partition machinery up front, this contributes the underlying fact, which is what any route to Mirsky needs and is independently useful for reasoning about graded and finite-dimensional orders.
### Design
Stated with `(· < ·)` rather than `(· ≤ ·)` so that it lives in the existing `[Preorder α]` section and needs no antisymmetry; in a partial order the two coincide for distinct elements. The hypothesis is `n ≠ ⊤` rather than a finiteness typeclass, which keeps it usable without extra assumptions — `height_strictMono` needs exactly that much.
### Proof
Three lines on `height_strictMono`, immediately above it in the same file.
### Verification
Compiles against `master` with no errors or warnings. `#print axioms` reports only `[propext, Classical.choice, Quot.sound]`. No new imports or definitions — `+11 -0` in one file.
### Disclosure
Written with AI assistance (Claude Opus 5) and checked against the Lean kernel; I have read the statement and proof before submitting. Happy to rename, or to restate as `IsAntichain (· ≤ ·)` in a `PartialOrder` section if that is preferred.
|
t-order
new-contributor
|
11/0 |
Mathlib/Order/KrullDimension.lean |
1 |
5 |
['github-actions', 'theebayuser'] |
nobody |
3-57198 3 days ago |
49-43053 49 days ago |
49-42774 49 days |
0 |
| 40953 |
ymonbru author:ymonbru |
feat: the definition of a KSheaf on a T2 Space |
This files adds the definition of a KSheaf on a T2 space with value in an arbitrary category.
One may expect this notion to come from sheaves on a site of compact subset of a topological space but there is no coresponding Grothendieck topology on compact subsets. In particular, this is because one of the axioms is in the form of a colimit and can't be expressed as a limit condition (hence a sheaf condition).
It also adds API that allow to use the axioms in a convenient way.
---
- [x] depends on: #40737
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-topology
|
137/0 |
Mathlib.lean,Mathlib/Topology/Sheaves/KSheaf.lean |
2 |
26 |
['Multramate', 'github-actions', 'joelriou', 'mathlib-dependent-issues', 'ymonbru'] |
joelriou assignee:joelriou |
3-31956 3 days ago |
6-2885 6 days ago |
87-40086 87 days |
1 |
| 44122 |
joelcanary author:joelcanary |
feat(NumberTheory/LegendreSymbol): the quadratic character sum along … |
…an odd function vanishes
If `-1` is not a square in a finite field `F`, then for every odd `f : F → F` the sum `∑ x, quadraticChar F (f x)` is zero: reindexing by the involution `x ↦ -x` turns the sum into `quadraticChar F (-1)` times itself, so it equals its own negative.
Stated next to `quadraticChar_sum_zero`, which is the sum of the character over the whole field. `Function.Odd` is the predicate already in Mathlib; importing `Mathlib.Algebra.Group.EvenFunction` for it adds no module to the transitive closure (it was already reachable through `Mathlib.Data.ZMod.Basic`), the direct import only brings the name into scope.
---
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|
t-number-theory
new-contributor
LLM-generated
|
16/0 |
Mathlib/NumberTheory/LegendreSymbol/QuadraticChar/Basic.lean |
1 |
5 |
['github-actions', 'joelcanary', 'mathlib-merge-conflicts', 'wwylele'] |
nobody |
3-29194 3 days ago |
3-30654 3 days ago |
8-31677 8 days |
0 |
| 43749 |
joelcanary author:joelcanary |
feat(NumberTheory/ArithmeticFunction): prodPrimeFactors_one_sub for every n |
`IsMultiplicative.prodPrimeFactors_one_sub_of_squarefree` gives
```
∏ p ∈ n.primeFactors, (1 - f p) = ∑ d ∈ n.divisors, μ d * f d
```
only for squarefree `n`. The hypothesis is not needed: the summands with `d` not squarefree vanish (`μ d = 0`), and the squarefree divisors of `n` are exactly the divisors of `∏ p ∈ n.primeFactors, p`, which is squarefree with the same prime factors. So the general statement reduces to the squarefree one.
This PR
- adds `IsMultiplicative.prodPrimeFactors_one_sub`, the identity for every `n ≠ 0`, with the same orientation and naming as the existing lemma;
- deprecates `IsMultiplicative.prodPrimeFactors_one_sub_of_squarefree` in favour of it (as requested in review), and inlines its proof.
No new imports and no new auxiliary lemmas: the fact that a squarefree divisor of `n` divides `∏ p ∈ n.primeFactors, p` is `Nat.prod_primeFactors_dvd_iff` + `Nat.primeFactors_prod_primeFactors` + `Nat.primeFactors_mono`, used in place. The file builds and `lake exe lint-style` is clean on current master.
**AI use disclosure.** I used an AI tool (an agent running on my machine) to write the Lean code and this description. I set the goal (drop the squarefree hypothesis), reviewed every declaration, and checked the branch locally with `lake build` and `lake exe lint-style` before each push. I will answer review questions myself.
|
t-number-theory
new-contributor
LLM-generated
|
38/9 |
Mathlib/NumberTheory/ArithmeticFunction/Moebius.lean,Mathlib/NumberTheory/SelbergSieve.lean |
2 |
9 |
['github-actions', 'joelcanary', 'wwylele'] |
nobody |
3-28285 3 days ago |
19-35182 19 days ago |
19-34903 19 days |
0 |
| 43758 |
joelcanary author:joelcanary |
feat(NumberTheory/ArithmeticFunction): the Redheffer determinant equals the Mertens function |
This PR adds the zeta (divisibility) matrix, the Redheffer matrix and the Mertens function, and proves **Redheffer's theorem** (1977): the determinant of the `(n+1) × (n+1)` Redheffer matrix equals the Mertens function `M(n+1) = ∑_{k ≤ n+1} μ(k)`.
In `Mathlib/NumberTheory/ArithmeticFunction/Moebius.lean`:
- `ArithmeticFunction.sum_divisors_moebius (k) : ∑ d ∈ k.divisors, μ d = if k = 1 then 1 else 0`, the pointwise form of `moebius_mul_coe_zeta`.
New file `Mathlib/NumberTheory/ArithmeticFunction/Redheffer.lean`:
- `ArithmeticFunction.mertens : ArithmeticFunction ℤ`, the summatory function of `μ`, with `mertens_apply : mertens n = ∑ k ∈ Icc 1 n, μ k`, `mertens_one`, `mertens_add_one` and `mertens_eq_sum_fin` (the `0`-based form `∑ i : Fin n, μ (i + 1)` used on the matrix side);
- `Matrix.zetaMatrix R n : Matrix (Fin n) (Fin n) R` for any `R` with `0` and `1` (entry `1` iff `i + 1 ∣ j + 1`), with `zetaMatrix_apply` (simp), `zetaMatrix_isUpperTriangular` and, for `CommRing R`, `det_zetaMatrix : det = 1`;
- `Matrix.redheffer R n` (the zeta matrix with its first column set to ones), with `redheffer_apply` (simp) and `redheffer_eq_updateCol`;
- `Matrix.det_redheffer (n) : (redheffer R (n + 1)).det = mertens (n + 1)` for any `CommRing R` (with `mertens` cast into `R`);
- `Nat.sum_fin_dvd_eq_sum_divisors`, the reindexing `∑ x : Fin n, (if x + 1 ∣ m then f (x + 1) else 0) = ∑ d ∈ m.divisors, f d` for `0 < m ≤ n`, which is what turns the matrix product into a divisor sum.
Proof sketch: by linearity of `det` in the first column, `det (redheffer R (n+1)) = det (zetaMatrix R (n+1)) + det (zetaMatrix with first column (0,1,…,1))`. The first term is `1`; by Cramer's rule (`det_smul_inv_mulVec_eq_cramer`) the second is the first row of the inverse of the zeta matrix dotted with `(0,1,…,1)`, and that row is `(μ 1, …, μ (n+1))` because `μ * ζ = 1` (`moebius_mul_coe_zeta`, via `sum_divisors_moebius`). The remaining sum `μ 2 + ⋯ + μ (n+1)` is `mertens (n+1) - 1`.
The ring `R` is an explicit argument of `zetaMatrix` and `redheffer` since nothing else determines it. Neither the Mertens function nor the Redheffer matrix currently appear in Mathlib. The new file imports only `LinearAlgebra.Matrix.Block` and `NumberTheory.ArithmeticFunction.Moebius`. Reference added to `docs/references.bib` (`redheffer1977`).
AI use: the Lean code and this description were written with an AI agent (Claude) under my direction, from a proof in my own project; I reviewed every declaration, and the branch was checked locally with `lake build`, `lake exe lint-style` and `lake exe runLinter` before each push. |
t-number-theory
new-contributor
LLM-generated
|
236/0 |
Mathlib.lean,Mathlib/NumberTheory/ArithmeticFunction/Moebius.lean,Mathlib/NumberTheory/ArithmeticFunction/Redheffer.lean,docs/references.bib |
4 |
15 |
['Parcly-Taxel', 'github-actions', 'joelcanary', 'wwylele'] |
nobody |
3-27512 3 days ago |
13-40352 13 days ago |
19-14080 19 days |
2 |
| 40727 |
pepamontero author:pepamontero |
feat(Geometry/Manifold/Instances/Quotient): quotients of manifolds by smooth free properly discontinuous group actions are manifolds |
Add smooth manifold structure on orbit space `orbitRel.Quotient G M`.
This PR is a follow-up to #35653, which equipped `orbitRel.Quotient G M` with a `ChartedSpace` structure. Here we promote that to an `IsManifold I n` instance, assuming M itself is an `IsManifold I n` and `G` acts by
`ContMDiffConstSMul`.
This PR:
* Changes the charted space instance to use `IsLocalHomeomorph.chartedSpaceOfRightInverse` applied to `Quotient.out_eq`, so the charts come from an explicit local section `orbitRel.Quotient.localInverseAt x` of the quotient map at `x.out`.
* Adds some API on `localInverseAt` that is only relevant when we have an action (`localInverseAt_apply_mk_eq_smul`, `localInverseAt_symm_trans_eqOn_smul`, `exists_smul_mem_localInverseAt_target`)
* Defines the `transitionMap` between the charts of the quotient, and adds `transitionMap_locally_smul` which shows each transition map agrees near any point with `φ x⁻¹ ≫ (g • ·) ≫ φ y` for a single `g : G`.
* Uses the above to prove `isManifold_quotient_of_contMDiffSMul`.
**Questions for reviewers**:
1. Should the acting group be `Γ` rather than `G`? Here `G` has no topology, and in other files `Γ` is used in this case.
2. Should `localInverseAt` be a `def` instead of an `abbrev`? It is an `abbrev` because there is already API for `IsLocalHomeomorph.localInverseAt` that I need.
3. Is changing the `ChartedSpace` instance to `Quotient.out` the right decision?
4. Should I write a definition for `(chartAt H x.out).symm ≫ₕ (g • ·) ≫ₕ chartAt H y.out` , similar to `transitionMap`?
This started as an ItaLean2025 project; here is the [Zulip thread](https://leanprover.zulipchat.com/#narrow/channel/541885-ItaLean-2025/topic/Projects.3A.20Quotient.20Manifolds/with/575121158) dedicated to it.
Co-authored by: Enrique Díaz Blanco <qdiazblanco@gmail.com>
Co-authored by: Archie Browne <ajb421@ic.ac.uk>
--------
- [x] depends on: #41832
- [x] depends on: #41835
- [x] depends on: #42436
- [x] depends on: #42502
- [x] depends on: #41534
- [x] depends on: #43717 |
new-contributor
large-import
t-differential-geometry
|
138/5 |
Mathlib/Geometry/Manifold/Instances/Quotient.lean |
1 |
50 |
['Deicyde', 'github-actions', 'grunweg', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'pepamontero', 'scholzhannah'] |
grunweg assignee:grunweg |
3-26965 3 days ago |
16-617 16 days ago |
44-11067 44 days |
0 |
| 40472 |
karlesmarin author:karlesmarin |
feat(Combinatorics/SimpleGraph): oriented incidence matrix |
Defines the oriented incidence matrix `SimpleGraph.orientedIncMatrix` of a simple graph on a linearly ordered vertex type, with each edge oriented from its smaller to its larger endpoint, and proves `orientedIncMatrix_mul_transpose : N * Nᵀ = G.lapMatrix R`.
This covers, for a fixed orientation, the second TODO in `Mathlib/Combinatorics/SimpleGraph/IncMatrix.lean`.
Written with the help of an LLM (Claude).
|
new-contributor
LLM-generated
t-combinatorics
|
157/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/OrientedIncMatrix.lean |
2 |
21 |
['SnirBroshi', 'github-actions', 'karlesmarin'] |
nobody |
3-18293 3 days ago |
4-11636 4 days ago |
111-38690 111 days |
0 |
| 44269 |
ROTARTSI82 author:ROTARTSI82 |
feat(Dynamics): periodic orbits must jump up and down |
If x is a periodic point and not a fixed point, there exists some b in its periodic orbit such that b < f b, and some b' such that f b' < b'.
---
This change was motivated by the following proof, a special case of Sharkovskii's theorem:
```lean
theorem exists_isFixedPt_of_continuous_of_mem_periodicPts' {α : Type*}
[ConditionallyCompleteLinearOrder α] [TopologicalSpace α] [OrderTopology α] [DenselyOrdered α]
{f : α → α} {x₀ : α} (hx₀ : x₀ ∈ periodicPts f)
(hf : Continuous f) :
∃(c : α), IsFixedPt f c := by
by_cases hfixed : IsFixedPt f x₀
· exact ⟨x₀, hfixed⟩
obtain ⟨a, _, ha⟩ := exists_lt_map_of_mem_periodicPts hx₀ hfixed
obtain ⟨b, _, hb⟩ := exists_map_lt_of_mem_periodicPts hx₀ hfixed
obtain ⟨c, _, hc⟩ := exists_mem_uIcc_isFixedPt hf.continuousOn ha.le hb.le
exact ⟨c, hc⟩
```
Would this theorem itself or something similar be wanted in mathlib?
<!-- Your PR title will become the first line of the commit message.
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- ...
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below the `---`, and placed outside this HTML comment, or else they
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-->
|
new-contributor
t-dynamics
|
39/0 |
Mathlib/Dynamics/PeriodicPts/Defs.lean,Mathlib/Order/Monotone/Basic.lean |
2 |
3 |
['ROTARTSI82', 'github-actions'] |
nobody |
2-79827 2 days ago |
3-62358 3 days ago |
3-62079 3 days |
0 |
| 42355 |
sankalpsthakur author:sankalpsthakur |
fix(NormNum): error if remaining at locations are unused |
`norm_num at h1 h2 ...` (and other tactics built on `Lean.Elab.Tactic.withNondepPropLocation`) unconditionally processed every hypothesis in the location list, then the target. If an earlier hypothesis closed the goal (e.g. `norm_num` found `h1` to already be `False`), processing continued against an already-closed goal instead of stopping.
Unused `at` locations now error if an earlier location closed the goal.
Closes #28703.
---------
Note. `withNondepPropLocation` currently has no other callers in the Mathlib tree besides its own definition file.
AI coding tools were used to help draft this change and PR description. I reviewed the complete change, understand the reasoning, and verified the build locally before submitting. |
new-contributor
LLM-generated
t-meta
|
32/2 |
Mathlib/Util/AtLocation.lean,MathlibTest/Tactic/NormNum/Basic.lean |
2 |
22 |
['github-actions', 'grunweg', 'mathlib-merge-conflicts', 'sankalpsthakur', 'thorimur'] |
joneugster assignee:joneugster |
2-77015 2 days ago |
19-57368 19 days ago |
39-58365 39 days |
0 |
| 43745 |
theebayuser author:theebayuser |
feat(Geometry/Euclidean): add Euler's quadrilateral theorem |
Adds Euler's quadrilateral theorem to Mathlib/Geometry/Euclidean/, and records it in docs/1000.yaml (Q18630480). It states: for any four points, the sum of the squares of the four sides of the quadrilateral a b c d equals the sum of the squares of the two diagonals, plus four times the square of the distance between the midpoints of the diagonals.
This PR was written with AI assistance (Claude Code).
|
t-euclidean-geometry
new-contributor
LLM-generated
maintainer-merge
|
84/0 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/Basic.lean,Mathlib/Geometry/Euclidean/EulerQuadrilateral.lean,docs/1000.yaml |
4 |
17 |
['github-actions', 'jsm28', 'theebayuser', 'wwylele'] |
jsm28 assignee:jsm28 |
2-69254 2 days ago |
19-65601 19 days ago |
19-65322 19 days |
0 |
| 44117 |
zblore author:zblore |
feat(Topology/Algebra): quotient topology on projective space and open quotient map |
This gives `ℙ K V` the quotient topology and shows `Projectivization.mk'` is an open quotient map when the units of `K` act continuously on `V`. It also adds the two instances the proof needs to `Topology/Algebra/MulAction.lean`. A `SubMulAction` inherits `ContinuousConstSMul`, and `Kˣ` acts continuously on the nonzero vectors.
This is the first step towards the Fubini-Study metric and measure on `ℂℙⁿ`. I discussed it on Zulip here https://leanprover.zulipchat.com/#narrow/id/617154981 and here https://leanprover.zulipchat.com/#narrow/id/625402419
I used Claude to draft the Lean against the existing Mathlib API. I've reworked and checked every line myself and can explain all of it.
---
|
t-topology
new-contributor
LLM-generated
|
117/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Projectivization/Basic.lean,Mathlib/Topology/Algebra/MulAction.lean,Mathlib/Topology/Algebra/Projectivization.lean |
4 |
5 |
['gasparattila', 'github-actions', 'zblore'] |
nobody |
2-21734 2 days ago |
8-39821 8 days ago |
8-39542 8 days |
0 |
| 43183 |
BorisTheBrave author:BorisTheBrave |
fix(Tactic/Linarith): carry `!` and the configuration into `linarith?… |
`linarith?` uses the same configuration as `linarith`,
but previously printed a bare `linarith only [...]` suggestion regardless
of the configuration.
Now all config options except `minimize` are carried into the suggestion.
---
Note: #42588 has a [test](https://github.com/leanprover-community/mathlib4/pull/42588/files#diff-3657543f804f0a57e384f6a9338cc53803a50bebdfb16c1ecd0b514f3fda332fR863) that
unintentionally highlights the problem:
```lean
/--
info: Try this:
[apply] linarith only [hne, hle]
-/
#guard_msgs in
example (a b : ℚ) (hne : a ≠ b) (hle : a ≥ b) (junk : (0:ℚ) < 1) : b < a := by
linarith? +splitNe
```
This suggestion doesn't actually close the proof.
It should suggest `linarith +splitNE only [hne, hle]`.
Should we be using `says` syntax for these tests? I'm unclear on the rule here.
Note: `simp?` has very similar code, `filterSuggestionsAndLocalsFromSimpConfig`, that this PR was modelled after.
AI disclosure:
Claude Code (Fable) first flagged this problem to me, and wrote the first draft. I
made some tweaks to better fit mathlib's style, and wrote all the prose.
[](https://gitpod.io/from-referrer/) |
t-meta
new-contributor
|
68/6 |
Mathlib/Tactic/Linarith/Frontend.lean,MathlibTest/Tactic/Linarith/Basic.lean |
2 |
16 |
['BorisTheBrave', 'JovanGerb', 'github-actions', 'sharky564'] |
nobody |
2-20762 2 days ago |
27-44184 27 days ago |
34-42125 34 days |
0 |
| 44293 |
psvenk author:psvenk |
doc: add lmfdb attributes |
Following #41290, add cross-references to the LMFDB for various definitions.
---
<!-- Your PR title will become the first line of the commit message.
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at the bottom of the commit message (before the `---`, and also before
any "Co-authored-by" lines) using the following format:
Moves:
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- ...
Deletions:
- Nat.bit1_add_bit1
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below the `---`, and placed outside this HTML comment, or else they
will be invisible to reviewers.
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using the following format:
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|
new-contributor
documentation
|
54/25 |
Mathlib/Algebra/CharP/Defs.lean,Mathlib/Algebra/Field/Defs.lean,Mathlib/Algebra/Group/Defs.lean,Mathlib/Algebra/Group/End.lean,Mathlib/Algebra/Group/Irreducible/Defs.lean,Mathlib/Algebra/Group/Subgroup/Basic.lean,Mathlib/Algebra/Group/Subgroup/Defs.lean,Mathlib/Algebra/Ring/Defs.lean,Mathlib/Analysis/Complex/UpperHalfPlane/Basic.lean,Mathlib/Analysis/SpecialFunctions/Gamma/Basic.lean,Mathlib/GroupTheory/Frattini.lean,Mathlib/GroupTheory/Generators.lean,Mathlib/GroupTheory/Index.lean,Mathlib/GroupTheory/Rank.lean,Mathlib/GroupTheory/Sylow.lean,Mathlib/GroupTheory/Torsion.lean,Mathlib/LinearAlgebra/Matrix/SpecialLinearGroup.lean,Mathlib/LinearAlgebra/Projectivization/Basic.lean,Mathlib/MeasureTheory/Group/Measure.lean,Mathlib/MeasureTheory/Measure/Haar/Basic.lean,Mathlib/NumberTheory/ArithmeticFunction/Defs.lean,Mathlib/NumberTheory/Bernoulli.lean,Mathlib/NumberTheory/DirichletCharacter/Basic.lean,Mathlib/NumberTheory/LSeries/Basic.lean,Mathlib/NumberTheory/LocalField/Basic.lean,Mathlib/NumberTheory/NumberField/Basic.lean,Mathlib/NumberTheory/NumberField/ClassNumber.lean,Mathlib/NumberTheory/NumberField/Discriminant/Defs.lean,Mathlib/NumberTheory/Padics/PadicNumbers.lean,Mathlib/RingTheory/DedekindDomain/Basic.lean,Mathlib/RingTheory/FractionalIdeal/Basic.lean,Mathlib/RingTheory/Ideal/Defs.lean,Mathlib/RingTheory/Ideal/Maximal.lean,Mathlib/RingTheory/Ideal/Prime.lean,Mathlib/RingTheory/IntegralClosure/Algebra/Basic.lean,Mathlib/RingTheory/IntegralClosure/IntegrallyClosed.lean,Mathlib/RingTheory/IntegralClosure/IsIntegral/Defs.lean,Mathlib/RingTheory/LocalRing/MaximalIdeal/Defs.lean,Mathlib/RingTheory/LocalRing/ResidueField/Defs.lean,Mathlib/RingTheory/Noetherian/Defs.lean,Mathlib/RingTheory/Polynomial/Resultant/Basic.lean,Mathlib/RingTheory/Valuation/Integers.lean,Mathlib/Topology/Algebra/Category/ProfiniteGrp/Basic.lean |
43 |
2 |
['github-actions'] |
nobody |
2-4984 2 days ago |
3-471 3 days ago |
3-2119 3 days |
0 |
| 44297 |
langston-barrett author:langston-barrett |
feat(Data/FinEnum): `Std.PRange.LawfulUpwardEnumerable` instance |
---
<!-- Your PR title will become the first line of the commit message.
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Co-authors in the squash commit are gathered from two sources:
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at the bottom of the commit message (before the `---`, and also before
any "Co-authored-by" lines) using the following format:
Moves:
- Vector.* -> List.Vector.*
- ...
Deletions:
- Nat.bit1_add_bit1
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below the `---`, and placed outside this HTML comment, or else they
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I'm not sure how Mathlib feels about interfacing with std constructs, but I was looking for something along the lines of `succMany?` and found `Std.PRange.LawfulUpwardEnumerable`, so I figured I'd implement it and see what the appetite is. Even if we don't decide to use this particular typeclass, the underlying functionality still seems useful.
This is my first ever Lean development, so I would greatly appreciate any tips and feedback on the style!
I wrote all of this by hand, though I asked some questions about Lean to GPT 5.6 Luna along the way.
A `LinearlyUpwardEnumerable` instance would be a good follow-up. |
t-data
new-contributor
|
112/0 |
Mathlib/Data/FinEnum.lean |
1 |
3 |
['github-actions', 'langston-barrett'] |
nobody |
2-4943 2 days ago |
2-14236 2 days ago |
2-21715 2 days |
0 |
| 41847 |
stalex444 author:stalex444 |
feat(Analysis/Matrix): tightness of the Tsirelson bound |
This file constructs the explicit real-Pauli CHSH tuple in 4×4 real matrices — X⊗1, Z⊗1, and (√2)⁻¹·(1⊗(X±Z)) — and proves it's a CHSH tuple. It also shows its CHSH operator sends the Bell vector ![1,0,0,1] to √2^3 times itself.
The PR also goes further than the request: √2^3 is the least constant bounding that operator in the Loewner order (via the scoped MatrixOrder instances + the existing tsirelson_inequality), so the constant in tsirelson_inequality cannot be improved.
Small honest caveat worth stating: the "over every algebra" corollary quantifies over Type (universe-0), since hypotheses can't quantify universes; the concrete least-constant statement is universe-free.
This Lean code was drafted with the help of AI (Claude Code). I reviewed the file; built it locally against current Mathlib master and confirmed that it compiled.
---
Questions for reviewers:
- happy to make B₀' and B₁' private if preferred
- happy to provide a ℂ-matrix version if that's more useful
<!-- Your PR title will become the first line of the commit message.
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Second, co-authors can also be listed in lines at the very bottom of
the commit message (that is, directly before the `---`) using the following format:
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any "Co-authored-by" lines) using the following format:
Moves:
- Vector.* -> List.Vector.*
- ...
Deletions:
- Nat.bit1_add_bit1
- ...
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below the `---`, and placed outside this HTML comment, or else they
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-->
[](https://gitpod.io/from-referrer/)
|
new-contributor
LLM-generated
t-analysis
|
228/6 |
Mathlib.lean,Mathlib/Algebra/Star/CHSH.lean,Mathlib/Analysis/Matrix/CHSH.lean |
3 |
9 |
['github-actions', 'stalex444', 'vihdzp'] |
j-loreaux assignee:j-loreaux |
1-77016 1 day ago |
19-32019 19 days ago |
76-76915 76 days |
0 |
| 42669 |
kris-gaudel author:kris-gaudel |
feat(Analysis/Convex): add `ShapleyFolkman` lemma |
Closes https://github.com/leanprover-community/mathlib4/issues/14427
Formalizes the Shapley-Folkman Lemma, uses the proof outlined [here](https://en.wikipedia.org/wiki/Shapley%E2%80%93Folkman_lemma#Proofs) (Via reduction from Carathéodory's theorem) |
t-analysis
new-contributor
|
346/0 |
Mathlib.lean,Mathlib/Analysis/Convex/ShapleyFolkman.lean |
2 |
3 |
['github-actions'] |
j-loreaux assignee:j-loreaux |
1-77014 1 day ago |
51-2420 51 days ago |
51-2141 51 days |
0 |
| 42895 |
cameronfreer author:cameronfreer |
feat(SetTheory/Ordinal): add lift_sSup and lift_iSup |
Add `InitialSeg.map_sSup` and `InitialSeg.map_iSup` for conditionally complete linear orders with bottom. Specializing these to `Ordinal.liftInitialSeg` gives `Ordinal.lift_sSup`, `Ordinal.lift_iSup`, `Ordinal.lift_iSup_le`, and `Ordinal.lift_iSup_le_iff`.
The `sSup` theorem handles the empty set using preservation of bottom and the nonempty case using normality. The `iSup` theorem is derived from it. Both use an explicit boundedness hypothesis; in particular, `lift_iSup` assumes `BddAbove (Set.range f)` rather than requiring the index type to be small.
🤖 This PR was developed with assistance from Claude and GPT models, using [lean4-skills](https://github.com/cameronfreer/lean4-skills) and [lean-lsp-mcp](https://github.com/oOo0oOo/lean-lsp-mcp).
|
t-set-theory
new-contributor
LLM-generated
|
40/0 |
Mathlib/Order/IsNormal.lean,Mathlib/SetTheory/Ordinal/Family.lean |
2 |
11 |
['cameronfreer', 'github-actions', 'plp127', 'vihdzp'] |
nobody |
1-76114 1 day ago |
44-34185 44 days ago |
44-34860 44 days |
0 |
| 40368 |
Sanghyeok0 author:Sanghyeok0 |
feat: add confluence predicates for relations |
This PR adds a minimal relation-level API for confluence-style properties:
* `Relation.IsDiamond`
* `Relation.IsConfluent`
* `Relation.IsChurchRosser`
It also adds the basic API connecting these predicates:
* `Relation.ReflTransGen.to_eqvGen`
* `Relation.Join.le_eqvGen`
* `Relation.IsChurchRosser.isConfluent`
* `Relation.IsConfluent.isChurchRosser`
* `Relation.IsChurchRosser.join_reflTransGen_eq_eqvGen`
The main downstream application is the polynomial-reduction development in
#41475. There, polynomial reduction is treated as an ordinary relation on
`MvPolynomial`, and these predicates are used to formulate confluence and the
Church--Rosser property.
A more general rewriting API exists in CSLib. This PR does not attempt to
upstream that API wholesale; its scope is intentionally limited to the
declarations needed by the downstream polynomial application.
The earlier version of this PR also introduced
`Relation.StronglyConfluent` and additional equivalence packaging. Those
declarations have been removed to keep this PR small and application-driven.
Reference: Becker, Weispfenning, and Kredel,
*Gröbner Bases: A Computational Approach to Commutative Algebra*.
AI usage disclosure:
I used OpenAI Codex to generate initial drafts of the definitions, theorem statements, proof scripts, and docstrings. I made the final decisions on the mathematical scope and API design, reviewed the generated code and final changes, and made a few edits to statements and docstrings.
---
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[](https://gitpod.io/from-referrer/)
|
t-logic
new-contributor
tech debt
LLM-generated
|
103/25 |
Mathlib/GroupTheory/FreeGroup/Basic.lean,Mathlib/Logic/Relation.lean |
2 |
36 |
['Sanghyeok0', 'SnirBroshi', 'chenson2018', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
1-76111 1 day ago |
25-8100 25 days ago |
96-84136 96 days |
1 |
| 41915 |
theebayuser author:theebayuser |
feat(Data/List): infixes, the enumerator of contiguous factors |
Hello, this PR extends `Mathlib/Data/List/Infix.lean` with the missing third enumerator alongside `inits` and `tails`:
* `infixes l` — all contiguous factors (infixes) of `l`, with multiplicity, as every prefix of every suffix, and
* its membership characterization and basic API:
* `mem_infixes` (`@[simp]`) — `s ∈ t.infixes ↔ s <:+: t`, the infix analogue of `mem_inits`/`mem_tails`
* `infixes_nil`, `infixes_cons`, `length_infixes_cons`, `nil_mem_infixes`, `self_mem_infixes`, `infixes_ne_nil`.
This gives `∃ s, s <:+: t ∧ P s` and `∀ s, s <:+: t → P s` executable bounded-search forms (e.g. deciding repetition-freeness of a fixed word by `decide`), which a future follow-up PR that I plan to work on will use.
AI disclosure: This code was mostly generated by Claude Fable 5 and Opus 4.8 as part of my larger project on combinatorics on words, which I then reviewed and revised to contribute to mathlib.
|
t-data
LLM-generated
new-contributor
|
37/2 |
Mathlib/Data/List/Infix.lean |
1 |
4 |
['github-actions', 'mathlib-merge-conflicts', 'theebayuser'] |
nobody |
1-76109 1 day ago |
24-11488 24 days ago |
74-65511 74 days |
0 |
| 43947 |
kedlaya author:kedlaya |
feat(FieldTheory): Artin-Schreier extensions of fields |
Implement the Artin-Schreier description of cyclic degree-p extensions of fields of characteristic p. Split off from from #41911. |
new-contributor
t-algebra
label:t-algebra$ |
286/0 |
Mathlib.lean,Mathlib/Algebra/Polynomial/FieldDivision.lean,Mathlib/Algebra/Polynomial/Splits.lean,Mathlib/FieldTheory/ArtinSchreierExtension.lean,Mathlib/FieldTheory/Finite/Basic.lean |
5 |
58 |
['JX-Mo', 'artie2000', 'github-actions', 'kedlaya', 'plp127', 'vihdzp'] |
artie2000 assignee:artie2000 |
1-68654 1 day ago |
4-22447 4 days ago |
13-12470 13 days |
1 |
| 41111 |
erdkocak author:erdkocak |
feat(ModelTheory): add cardinal-generated substructure API |
This is the first PR in a sequence splitting #40561.
It adds a `CardinalLTGenerated` predicate for substructures, basic closure and map lemmas, and the finitely generated specialization.
Co-authored-by: Yağız Kaan Aydoğdu <y.kaan.aydogdu@gmail.com>
Co-authored-by: Yusuf Demir <yusufdemir12610@gmail.com>
Advised-by: Ayhan Günaydın <ayhan.gunaydin@bogazici.edu.tr>
Advised-by: Metin Ersin Arıcan <metin.arican@bogazici.edu.tr>
Please note that we utilized agentic AI tools (Claude Opus, ChatGPT Codex) during the development of this PR. Most of the proofs of the major theorems are direct translations from human-language source material (see the diff in `references.bib`) into Lean proofs using the mentioned AI tools. However, all design and formalization decisions were made by us. |
t-logic
new-contributor
LLM-generated
|
51/0 |
Mathlib/ModelTheory/FinitelyGenerated.lean,Mathlib/ModelTheory/Substructures.lean |
2 |
9 |
['NoahW314', 'erdkocak', 'felixpernegger', 'github-actions'] |
nobody |
1-52758 1 day ago |
89-45853 89 days ago |
95-43159 95 days |
5 |
| 43633 |
Jun2028 author:Jun2028 |
feat(SetTheory/Ordinal): classify exponential principal ordinals |
Complete `` TODO: Prove that the exponential principal ordinals are `0`, `1`, `2`, `ω`, or `ε_ x` `` in [Mathlib/SetTheory/Ordinal/Principal.lean](https://github.com/leanprover-community/mathlib4/compare/master...Jun2028:mathlib4:feat/exponential-principal-classification?expand=1#diff-c700a68af59d576bafeeeac5211181f9ce129bdead444df6c9747344817103bd)
By the way, the original TODO was wrong because `1` is not an exponential principal ordinal (it requires $0^0=1<1$ which is false).
---
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|
t-set-theory
new-contributor
|
65/5 |
Mathlib/SetTheory/Ordinal/Principal.lean,Mathlib/SetTheory/Ordinal/Veblen.lean |
2 |
9 |
['Jun2028', 'github-actions', 'vihdzp'] |
nobody |
1-50618 1 day ago |
22-23729 22 days ago |
22-23450 22 days |
0 |
| 42995 |
jacob-greenfield author:jacob-greenfield |
feat: add `List.Pairwise.orderedInsert'`, `List.sortedLE_orderedInsert_lt`, and `List.sortedGE_orderedInsert_gt` |
Introduce a generalized `Pairwise.orderedInsert'` lemma to prove that `Pairwise r l` is maintained after performing an `orderedInsert` using a relation stronger than `r` under certain conditions. Prove `sortedLE_orderedInsert_lt`, showing that `l.orderedInsert (· < ·) a` preserves `SortedLE` for decidable total preorders (analogously for `sortedGE_orderedInsert_gt`). This is useful for inserting an element into a sorted list *behind* any other elements which compare equal.
---
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I was hoping to avoid `omit`, but that would require moving all of `Pairwise.orderedInsert'`, `Pairwise.orderedInsert`, `pairwise_insertionSort`, `sublist_insertionSort'`, `pair_sublist_insertionSort'`, and `mergeSort_eq_insertionSort` after `end sort` on line 365 and reintroducing all the section variables. I also considered moving `Pairwise.orderedInsert'` somewhere _before_ `variable {α β : Type*} (r : α → α → Prop) (s : β → β → Prop)` on line 30, but that would place it before `orderedInsert` is defined. "Omit" seemed like the least invasive approach.
[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
|
27/11 |
Mathlib/Data/List/Sort.lean |
1 |
8 |
['github-actions', 'jacob-greenfield', 'theebayuser'] |
joneugster assignee:joneugster |
1-48673 1 day ago |
41-67379 41 days ago |
41-67100 41 days |
0 |
| 44261 |
javgomzar author:javgomzar |
feat(Algebra/Category/Grp): free functor preserves monomorphisms |
Refactored the proof for AddCommGrpCat, so that it also works in GrpCat.
---
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|
t-algebra
new-contributor
label:t-algebra$ |
18/4 |
Mathlib/Algebra/Category/Grp/Adjunctions.lean |
1 |
14 |
['JX-Mo', 'github-actions', 'javgomzar'] |
nobody |
1-46142 1 day ago |
1-46142 1 day ago |
4-5184 4 days |
0 |
| 41957 |
YijunYuan author:YijunYuan |
feat(NumberTheory/Padics/Complex): add densely normed field and separable space instances |
Equip the field `ℂ_[p]` of `p`-adic complex numbers and its dense subfield
`PadicAlgCl p` (the algebraic closure of `ℚ_[p]`) with two further standard
typeclass instances.
Main additions:
* `DenselyNormedField (PadicAlgCl p)`: the norm takes values dense in the
positive reals. The witness between two given bounds `a < b` is built from an
`n`-th root `z` of `p` (which exists since `PadicAlgCl p` is algebraically
closed): choosing `n` so that `(a / b) ^ n < ‖p‖` gives `a / b < ‖z‖ < 1`, and
some integer power `z ^ m` then has norm strictly between `a` and `b`.
* `SeparableSpace (PadicAlgCl p)`: the elements algebraic over `ℚ` form a
countable dense subset. Density follows from continuity of roots — `α` is a
root of its minimal polynomial `f` over `ℚ_[p]`, and approximating the
coefficients of `f` by a polynomial `g` over the dense subfield `ℚ` yields a
root `β` of `g` (hence algebraic over `ℚ`) arbitrarily close to `α`.
* The corresponding instances `DenselyNormedField ℂ_[p]` and
`SeparableSpace ℂ_[p]` are then inferred, `ℂ_[p]` being the completion of
`PadicAlgCl p`.
Supporting general instance:
* `DenselyNormedField (UniformSpace.Completion A)` for a densely normed field
`A` with `CompletableTopField A`, since the norm on the completion extends the
norm on `A`.
The existing `NontriviallyNormedField` instances on `PadicAlgCl p` and `ℂ_[p]`
are simplified to `inferInstance`, as they now follow from the new
`DenselyNormedField` instances. |
new-contributor
t-number-theory
t-algebra
label:t-algebra$ |
123/19 |
Mathlib/Analysis/Normed/Field/Dense.lean,Mathlib/Analysis/Normed/Module/Completion.lean,Mathlib/NumberTheory/Padics/Complex.lean |
3 |
11 |
['YijunYuan', 'github-actions', 'mathlib-merge-conflicts', 'pechersky', 'riccardobrasca'] |
nobody |
1-36414 1 day ago |
1-38550 1 day ago |
65-80111 65 days |
0 |
| 39687 |
TentativeConvert author:TentativeConvert |
feat(Algebra/Group/Submonoid): type class to indicate that supremum in a SubmonoidClass agrees with supremum of submonoids |
Add a type class `SubmonoidClass.IsConcreteSSup` to indicate that the canonical map `.ofClass` from a class `S` of submonoids of `M` to `Submonoid M` preserves suprema.
---
This PR implements the minimal type class assumption needed to make „pushfoward of gradings along maps of indexing sets“ – see draft PR #39356 – work in some `SetLike` generality.
Given `{S M : Type*} [SetLike S M] [Monoid M] [SubmonoidClass S M]`, we have canonical maps
```
S → Submonoid M → Set M
```
The first is `Submonoid.ofClass`, the second and the composition are `coe` maps coming from the `SetLike` structures. Depending on `S`, these maps may or may not satisfy various properties with respect the lattice structures on `Submonoid M` and `Set M`. Mathlib so far includes the type class `[IsConcreteLE S M]`, which asserts that the composition `S → Set M` is order-preserving and order-reflecting. The type class defined here asserts that the first map, `S → Submonoid M`, preserves suprema.
In examples such as `S = Subgroup M`, `S = Submodule R M`, much more is true – in these cases, `S` is a complete sublattice of `Submonoid M`. But there are also examples where only the weaker property defined here holds, e.g. `S = OpenSubgroup M` for a topological group `M`.
[Zulip discussion thead about this PR](https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/type.20class.20to.20indicate.20that.20supremum.20in.20a.20SubmonoidClass.20agr/with/626031731)
Note on `outParam`: I did *not* write `(M : outParam Type*)` in the assumptions of `SubmonoidClass.IsConcreteSSup` in accordance with the [DocString of `Setlike`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Data/SetLike/Basic.html#SetLike). However, we do have `(B : outParam Type*)` in the definition of `IsConcreteLE`, so perhaps I'm misinterpreting the DocString.
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebra
label:t-algebra$ |
56/0 |
Mathlib.lean,Mathlib/Algebra/Group/Submonoid/SSup.lean |
2 |
6 |
['TentativeConvert', 'github-actions', 'jjdishere'] |
eric-wieser assignee:eric-wieser |
1-32127 1 day ago |
9-30741 9 days ago |
129-33168 129 days |
0 |
| 43852 |
ZRTMRH author:ZRTMRH |
feat(Combinatorics/Quiver/Schreier): add Schreier Cayley basics |
Defined Cayley graph as a coset Schreier graph. Proved connectivity and vertex-transitivity on Cayley graphs, as promised in #38310.
Follow-up to #38310, this is the 3rd split pr from #35467.
This PR was written with AI assistance (Claude). The code has been reviewed by the author.
P.S. cayley_subsingleton_weaklyConnectedComponent's proof is generic and I can extract it to Quiver/ConnectedComponent.lean as a weak-connectivity lemma, if it is wanted.
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-combinatorics
large-import
LLM-generated
|
278/7 |
Mathlib/Combinatorics/Quiver/Schreier.lean |
1 |
10 |
['SnirBroshi', 'ZRTMRH', 'github-actions', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
1-27055 1 day ago |
3-29956 3 days ago |
15-78892 15 days |
0 |
| 44286 |
user202729 author:user202729 |
chore(Algebra/Group): use normal typeclass syntax for `Normal` |
Use the normal syntax to make `Normal` a typeclass instead of `attribute [class] Normal`.
This affects the proofs depending on this typeclass by making the member accessor `conj_mem` taking the `Normal` instance as an instance-implicit argument instead of an explicit one. They were refactored by simply letting the compiler infer the instance, which it always succeeds for the cases found in mathlib.
---
More discussion: Another effect of using `class` instead of `structure` is that the `‹…›` syntax cannot be used, however, for this specific typeclass it is not affected. It affects `Unique` though (not touched here). |
new-contributor |
7/11 |
Mathlib/Algebra/Group/Subgroup/Defs.lean,Mathlib/CategoryTheory/Action/Concrete.lean,Mathlib/CategoryTheory/Galois/EssSurj.lean,Mathlib/GroupTheory/Nilpotent.lean,Mathlib/RepresentationTheory/Coinvariants.lean,Mathlib/Topology/Algebra/Group/Subgroup.lean |
6 |
5 |
['github-actions', 'tb65536', 'user202729'] |
nobody |
1-21764 1 day ago |
3-28053 3 days ago |
3-27774 3 days |
0 |
| 37964 |
mortarsanjaya author:mortarsanjaya |
feat(Algebra/Order/Floor): weaken assumptions on theorems about `FloorRing` |
This PR weakens as much assumptions as possible on theorems about `FloorSemiring` and `FloorRing`. Mainly, `IsOrderedRing` and `IsStrictOrderedRing` are weakened to just `IsOrderedAddMonoid` or removed completely from the assumptions on the theorems.
Most theorems can be generalized as is or only requires a minor modification of replacing lemmas about casting naturals/integers preserving order (the likes of `Nat.cast_le`, `Int.cast_lt`, etc.) with the corresponding version for `FloorRing`. Some other lemmas require modification in the proofs, but these changes shorten the proofs. The new proof of the theorem `Int.mul_cast_floor_div_cancel_of_pos` requires an extra import.
The assumption `IsOrderedAddMonoid` is required on lemmas that involve comparison + addition, and `IsOrderedRing` is required only on lemmas that involve comparison + multiplication of two non-integer elements.
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
maintainer-merge
label:t-algebra$ |
325/329 |
Mathlib/Algebra/ContinuedFractions/Computation/Translations.lean,Mathlib/Algebra/Order/Floor/Defs.lean,Mathlib/Algebra/Order/Floor/Ring.lean,Mathlib/Algebra/Order/Floor/Semifield.lean,Mathlib/Algebra/Order/Floor/Semiring.lean,Mathlib/Algebra/Order/Round.lean,Mathlib/Analysis/SpecificLimits/Basic.lean,Mathlib/Data/Int/Log.lean,Mathlib/Data/NNRat/Floor.lean,Mathlib/Data/Rat/Floor.lean,Mathlib/MeasureTheory/Function/Floor.lean,Mathlib/Order/Interval/Finset/Floor.lean,Mathlib/Topology/Algebra/Order/Floor.lean |
13 |
27 |
['github-actions', 'jjdishere', 'leanprover-radar', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mortarsanjaya', 'themathqueen'] |
jjdishere assignee:jjdishere |
1-16504 1 day ago |
1-18038 1 day ago |
97-30064 97 days |
0 |
| 44364 |
abeldonate author:abeldonate |
feat(AlgebraicTopology/SimplexCategory/Truncated): added lemmas |
Lemmas `mono_iff` and `epi_iff` added, trying to follow the work done in #21749 |
t-algebraic-topology
new-contributor
|
31/0 |
Mathlib/AlgebraicTopology/SimplexCategory/Truncated.lean |
1 |
3 |
['github-actions'] |
nobody |
0-86269 23 hours ago |
1-535 1 day ago |
1-472 1 day |
0 |
| 42831 |
ray-shang author:ray-shang |
feat(CategoryTheory/Preadditive): category ring of preadditive category |
Given a preadditive category `C`, its category ring `CategoryRing C` is the non-unital ring
whose underlying additive group is the direct sum of all of its morphism groups `X ⟶ Y`, and
whose multiplication is induced by composition: the product of a morphism `f : X ⟶ Y` with a
morphism `g : Z ⟶ W` is `f ≫ g` when `Y = Z`, and `0` otherwise. When `C` is `R`-linear this ring
is a (non-unital) `R`-algebra, and when `C` has finitely many objects it is unital, with
unit `∑ X, 𝟙 X`.
This file formalizes `CategoryRing C` and its structure and universal property
when `C` is preadditive, `R`-linear, finite type, and both finite type and `R`-linear. For example,
when `C` is merely preadditive, the universal property of `CategoryRing C` is: non-unital ring
homomorphisms out of `CategoryRing C` correspond to `LiftData`, the data of a
compatible family of additive maps `(X ⟶ Y) →+ A` for a `NonUnitalNonAssocSemiring A`.
AI Usage: Gemini 3.1 Pro Extended Thinking is in use to generate proof terms for the custom induction principle to unwrap the nested direct sums of the category algebra. Human oversight and work determines the most efficient proof term.
---
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[](https://gitpod.io/from-referrer/)
|
t-category-theory
new-contributor
|
706/0 |
Mathlib.lean,Mathlib/CategoryTheory/Preadditive/CategoryRing.lean |
2 |
11 |
['b-reinke', 'github-actions', 'joelriou', 'ray-shang', 'robin-carlier'] |
nobody |
0-74052 20 hours ago |
13-14996 13 days ago |
13-47746 13 days |
0 |
| 42815 |
korbonits author:korbonits |
feat(Analysis/Calculus/VectorField): the Lie bracket acts as a derivation on functions |
Add `VectorField.lieBracket_apply_fun`: for a function `f` with derivative `f'` and vector fields `V`, `W`,
D(f' W) V - D(f' V) W = f' [V, W]
i.e. the familiar `[V, W] f = V (W f) - W (V f)`. The two second-derivative terms cancel by symmetry of the second derivative, leaving exactly the bracket.
Placed beside the existing `lieBracket_smul_*` product rules. Needs no new import: `FDeriv.Symmetric` is already imported for `second_derivative_symmetric`, which supplies the symmetry and is the source of the `IsRCLikeNormedField` hypothesis.
---
AI disclosure
- level: Level 5 / Level 6 in [the link shared](https://www.visidata.org/blog/2026/ai/#self-assessed-ai-level-for-contributions) I feel confident about the math but I am still learning Lean itself
- code: most of the Lean in this PR was drafted by Claude Code (statements, proofs, docstrings).
- direction and review: I chose the contribution, made the decisions, reviewed every line, and wrote all GitHub/Zulip comments. |
t-analysis
new-contributor
LLM-generated
t-differential-geometry
|
17/0 |
Mathlib/Analysis/Calculus/VectorField.lean |
1 |
11 |
['github-actions', 'korbonits', 'themathqueen'] |
sgouezel assignee:sgouezel |
0-65410 18 hours ago |
6-22894 6 days ago |
46-53727 46 days |
0 |
| 42839 |
JadAbouHawili author:JadAbouHawili |
feat(Combinatorics/SimpleGraph/Connectivity): simple graph is 2-edge-connected iff it has no bridge |
This PR proves the equivalence of a graph being 2-edge-connected iff it has no bridge resolving the relevant TODO.
---
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
16/3 |
Mathlib/Combinatorics/SimpleGraph/Connectivity/EdgeConnectivity.lean |
1 |
42 |
['JadAbouHawili', 'SnirBroshi', 'github-actions'] |
SnirBroshi assignee:SnirBroshi |
0-62024 17 hours ago |
26-9907 26 days ago |
45-4512 45 days |
0 |
| 44372 |
Formalistic03 author:Formalistic03 |
feat(GroupTheory/Perm/Cycle/Basic): subtypePerm preserves IsCycleOn |
---
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|
t-group-theory
new-contributor
|
26/0 |
Mathlib/Algebra/Group/End.lean,Mathlib/GroupTheory/Perm/Cycle/Basic.lean |
2 |
3 |
['github-actions', 'wwylele'] |
nobody |
0-51413 14 hours ago |
1-1729 1 day ago |
1-1450 1 day |
0 |
| 40728 |
Formalistic03 author:Formalistic03 |
feat(Combinatorics/SimpleGraph/Hasse): more properties of Hasse graphs of linear orders |
- two forms of an intermediate value theorem for linear orders
- the Hasse graph of a linear order is acyclic
- a path graph is locally finite
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-combinatorics
|
88/11 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/CycleGraph.lean,Mathlib/Combinatorics/SimpleGraph/Hasse.lean,Mathlib/Data/Fintype/Defs.lean |
4 |
44 |
['Formalistic03', 'Multramate', 'SnirBroshi', 'b-mehta', 'github-actions', 'mathlib-merge-conflicts'] |
b-mehta assignee:b-mehta |
0-46028 12 hours ago |
0-46028 12 hours ago |
97-61664 97 days |
0 |
| 26479 |
thefundamentaltheor3m author:thefundamentaltheor3m |
feat(Analysis/Complex/CauchyIntegral): Cauchy–Goursat for Unbounded Rectangles |
In this PR, we prove versions of the Cauchy-Goursat theorem where the contours in question are rectangular and unbounded (ie, where the contours look like the $\bigsqcup$ symbol). I am not sure if I have formalised these in the best way, or if `Analysis.Complex.CauchyIntegral` is the best place for them (it might be prudent to reorganise the file into multiple files at some point), but I believe this is a useful result. Suggestions welcome.
---
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|
new-contributor
t-analysis
sphere-packing
maintainer-merge
|
169/0 |
Mathlib/Analysis/Complex/CauchyIntegral.lean |
1 |
52 |
['github-actions', 'j-loreaux', 'loefflerd', 'mathlib-splicebot', 'mathlib4-merge-conflict-bot', 'ocfnash', 'thefundamentaltheor3m', 'themathqueen', 'wwylele'] |
j-loreaux assignee:j-loreaux |
0-28997 8 hours ago |
0-77737 21 hours ago |
128-70364 128 days |
0 |
| 43438 |
raoxiaojia author:raoxiaojia |
feat(Tactic/Echelon): add per-model entry certifiers and switched to a reflection-based certificate |
This PR makes the certificate construction of the echelon tactic parametric over an entry certifier that can be defined per computation model (similar to previous selection over producer models), and adds a `norm_num` certifier for the fallback rational model, which closes inputs with rational literals in noncomputable rings such as `ℝ` or `ℂ`. The proof terms are migrated to use the reflection based certificates as well which is much more efficient and leaves room for future optimisation using packed matrix multiplication.
---
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- [x] depends on: #43673 [List-based matrix representation for reflection certificates, and multiplication certificate producer]
- [x] depends on: #44152 [Refactoring the scaling optimisation and the parametric certifier interface]
[](https://gitpod.io/from-referrer/)
|
t-meta
new-contributor
|
415/133 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Echelon/Bareiss.lean,Mathlib/Tactic/Echelon/Cert.lean,Mathlib/Tactic/Echelon/Core.lean,Mathlib/Tactic/Echelon/Rat.lean,Mathlib/Tactic/Echelon/Reflection.lean,Mathlib/Tactic/NormRank.lean,Mathlib/Util/Qq.lean,MathlibTest/EvalRank.lean |
10 |
14 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'raoxiaojia'] |
nobody |
0-27659 7 hours ago |
0-30857 8 hours ago |
5-31592 5 days |
1 |
| 44392 |
yhx-12243 author:yhx-12243 |
fix(Algebra/Polynomial/Roots): fix tendstoCofinite with normal generic universe |
Remove the extraneous accidentally {R : Type} [CommRing R] [IsDomain R] in the signature of `Polynomial.tendstoCofinite_of_natDegree_ne_zero`, make it generic. |
t-algebra
new-contributor
label:t-algebra$ |
2/2 |
Mathlib/Algebra/Polynomial/Roots.lean |
1 |
3 |
['github-actions'] |
nobody |
0-24036 6 hours ago |
0-25563 7 hours ago |
0-25284 7 hours |
0 |
| 43418 |
aimmerwahr author:aimmerwahr |
feat(RingTheory): prove `comap_ringConGen_equiv` (`proof_wanted`) |
Prove that `(ringConGen r).comap f = ringConGen (r on f)` for an EquivLike as stated in proof_wanted.
I rearranged the parameter order (and dropped `[FunLike F R' R]`) from the original proof_wanted statement, since EquivLike already gives a FunLike and having repeated FunLike (that are not definitionally equal) makes instance resolution impossible.
This is essentially the same proof as the previous ring equivalence version (pulling back the RingCon by f inverse and then by f), with comap spelled out explicitly.
AI usage: Everything is proved by hand. I then worked with AI to review and simplify the code.
Thanks to @pepamontero for suggesting a better formulation! |
file-removed
t-ring-theory
new-contributor
|
15/36 |
Mathlib/RingTheory/Congruence/Basic.lean,Wanted.lean,Wanted/RingTheory/Congruence/Basic.lean |
3 |
3 |
['aimmerwahr', 'github-actions', 'pepamontero'] |
nobody |
0-2630 43 minutes ago |
27-72241 27 days ago |
27-71962 27 days |
0 |
| 44403 |
zhikaip author:zhikaip |
fix(scripts/dag_traversal.py): kill timed-out builds on Windows |
`os.killpg` does not exist on Windows, so the first per-module timeout in `rm_set_option.py` raised `AttributeError` and left the build running. Add a `_kill_tree` helper that falls back to `taskkill /F /T`.
Found and tested by running `rm_set_option.py` on Physlib (leanprover-community/physlib#1705), where the run then completed.
Disclaimer: I encountered this while running the script on Physlib using a windows PC, and Claude suggested this fix for me which I think may be useful to upstream.
---
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using the following format:
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- [ ] depends on: #xyz [optional extra text]
-->
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scripts/dag_traversal.py |
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nobody |
0-1598 26 minutes ago |
0-2147 31 minutes ago |
0-1868 31 minutes |
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