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| 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 |
| 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 |
99-80556 3 months ago |
225-11264 225 days ago |
225-11251 225 days |
| 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 |
95-80557 3 months ago |
182-20012 182 days ago |
184-54285 184 days |
| 39449 |
Paul-Lez author:Paul-Lez |
doc: add library note about scoping simp lemmas with weak keys |
In PR #39262 I noticed that some `simp` lemmas were scoped for a reason that is not immediately obvious, so I figured that adding a library note would be nice in case anyone else runs into this in the future (this pattern is quite common in Mathlib!)
In case it's helpful for review, here are links to a few of the PRs that added this scoping initially:
- #14233
- #15620
- #15631
---
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|
|
71/4 |
Mathlib.lean,Mathlib/Algebra/AddConstMap/Basic.lean,Mathlib/Algebra/CharP/Two.lean,Mathlib/Algebra/GradedMonoid.lean,Mathlib/Algebra/Ring/BooleanRing.lean,Mathlib/Algebra/Ring/CharZero.lean,Mathlib/Tactic.lean,Mathlib/Tactic/SimpLibraryNote.lean |
8 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
82-78716 2 months ago |
82-78716 82 days ago |
96-55 96 days |
| 40329 |
no-j author:no-j |
feat(Computability): matching εNFA.Path definition with NFA.Path |
Added εNFA.Path definition that is based on `Type` instead of `Prop` to match NFA's path definition
Added εNFA.Path.supp (same definition as NFA.Path.supp)
---
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|
t-computability
new-contributor
|
60/23 |
Mathlib/Computability/EpsilonNFA.lean |
1 |
3 |
['github-actions'] |
nobody |
80-46542 2 months ago |
80-47375 80 days ago |
80-47734 80 days |
| 40274 |
gasparattila author:gasparattila |
chore(Order/Partition/Finpartition): deprecate `ofPairwiseDisjoint` |
This is a duplicate of `Finpartition.ofErase`.
---
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|
t-order |
8/16 |
Mathlib/MeasureTheory/VectorMeasure/Variation/Basic.lean,Mathlib/Order/Partition/Finpartition.lean |
2 |
2 |
['gasparattila', 'github-actions'] |
nobody |
78-56946 2 months ago |
82-8790 82 days ago |
82-8777 82 days |
| 40520 |
Julian-Kuelshammer author:Julian-Kuelshammer |
feat(CategoryTheory/Linear): linear Yoneda and coYoneda are linear |
Mathlib/CategoryTheory/Linear/Basic.lean:
Adds an instance that the opposite category of a linear category is linear.
Mathlib/CategoryTheory/Linear/Yoneda.lean:
Adds instances that the linearYoneda and linearcoYoneda are linear functors, which was a TODO before.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
large-import
|
27/2 |
Mathlib/CategoryTheory/Linear/Basic.lean,Mathlib/CategoryTheory/Linear/Yoneda.lean |
2 |
3 |
['github-actions'] |
nobody |
76-3470 2 months ago |
76-4906 76 days ago |
76-5426 76 days |
| 38225 |
kim-em author:kim-em |
ci: block merging PRs with large import increases unless reviewed |
This PR makes the existing `large-import` label into a merge gate. PRs that significantly increase transitive imports (>2% for any modified file) are now blocked from merging until a reviewer adds the `allow-large-import` label.
### Why three labels?
Bors's `block_labels` has no conditional logic — if a label is in the list, merge is blocked unconditionally. We need "blocked unless a reviewer has approved", i.e. `large-import ∧ ¬allow-large-import`. Since bors can't express that, we use a derived label:
| Label | Managed by | Purpose |
|---|---|---|
| `large-import` | `build` job (import analysis) | Factual: this PR increases imports |
| `blocked-by-large-import` | `check-large-import` job | Operational: blocks bors |
| `allow-large-import` | Reviewer | Override: reviewer approves the increase |
Each label is managed by exactly one actor, so there is no label-fighting.
### How it works
1. The existing `build` job adds/removes `large-import` based on import analysis (unchanged).
2. A new `check-large-import` job (in the same workflow) waits for `build` to finish, then:
- If `large-import` is present and `allow-large-import` is absent → adds `blocked-by-large-import`
- Otherwise → removes `blocked-by-large-import`
3. `blocked-by-large-import` is added to `block_labels` in `bors.toml`.
When a reviewer adds `allow-large-import`, the `labeled` event re-triggers the workflow. The heavy `build` job is skipped (guarded by `github.event.action != 'labeled'`), but the lightweight `check-large-import` job runs, sees both labels, and removes `blocked-by-large-import`. Bors can now merge.
### Reviewer workflow
The CI failure message tells the reviewer to consider whether the PR could be improved by splitting files, rearranging material, or creating new intermediate files. If the import increase is reasonable, they add `allow-large-import`.
False positives can be reported on the [mathlib4 Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/large-import.20label).
🤖 Prepared with Claude Code |
CI |
78/2 |
.github/workflows/PR_summary.yml,bors.toml |
2 |
7 |
['SnirBroshi', 'github-actions', 'jcommelin', 'joneugster', 'kim-em'] |
nobody |
75-80557 2 months ago |
127-85307 127 days ago |
127-85912 127 days |
| 40612 |
kim-em author:kim-em |
feat: add Jacobian challenge based test for new `def_wanted` feature |
This PR adds tests for the new features introduced in batteries#1818, i.e. `def_wanted`, and the ability to safely refer to other `*_wanted` statements from within a `*_wanted` statement. We use the Jacobian challenge as the example. |
|
86/0 |
MathlibTest/JacobianChallenge.lean |
1 |
1 |
['github-actions'] |
nobody |
72-67414 2 months ago |
72-70875 72 days ago |
72-70862 72 days |
| 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 |
72-43038 2 months ago |
72-43911 72 days ago |
73-5631 73 days |
| 40639 |
metakunt author:metakunt |
feat(Combinatorics/MixedGraph): adds mixed graphs and some example API |
This PR is intended to gather some feedback. I'd like to introduce mixed graphs into mathlib as a generalisation of the graph api.
I didn't know whether to change the API of the graphs so I experimented a bit and ported some results as a proof of concept.
Zulip discussion: https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Mixed.20multigraphs/with/602794133
|
t-combinatorics |
186/0 |
Mathlib.lean,Mathlib/Combinatorics/Mixedgraph/Basic.lean |
2 |
2 |
['github-actions'] |
nobody |
72-25978 2 months ago |
72-26841 72 days ago |
72-27311 72 days |
| 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 |
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'] |
nobody |
69-79912 2 months ago |
69-81962 69 days ago |
78-27197 78 days |
| 37183 |
dagurtomas author:dagurtomas |
feat(Tactic/CategoryTheory): map attribute |
Adding `@[map]` 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_map` of the form
`∀ .. {D} (func : C ⥤ D), F.map f = F.map g` and then applies
`simp only [Functor.map_comp, Functor.map_id]`.
---
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[](https://gitpod.io/from-referrer/)
|
LLM-generated
t-meta
t-category-theory
|
301/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/CategoryTheory/Map.lean,MathlibTest/CategoryTheory/Map.lean,MathlibTest/CategoryTheory/MapSimp.lean |
5 |
13 |
['adamtopaz', 'dagurtomas', 'github-actions', 'joelriou'] |
nobody |
68-80550 2 months ago |
90-62186 90 days ago |
153-26152 153 days |
| 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 |
66-9267 2 months ago |
66-10990 66 days ago |
66-15004 66 days |
| 36743 |
Jun2M author:Jun2M |
feat(Combinatorics/GraphLike): introduce `GraphLike` typeclass |
Edit: There is #40204: alternative PR that uses incidence to define hypergraph.
Per discussion at ([#graph theory > HasAdj](https://leanprover.zulipchat.com/#narrow/channel/252551-graph-theory/topic/HasAdj/with/575843445)), This PR introduces the `GraphLike` typeclass to capture the notions like `dart` and `walk` across various graph objects, such as `SimpleGraph`, `Graph`, and `Digraph`.
The goal is that by abstracting these core components into a typeclass, we can prove these results once for all graph-like structures rather than duplicating them across different graph types.
### Main definitions
* `GraphLike V D E Gr`: A typeclass parameterized by a vertex type `V`, dart type `D` and a graph type `Gr` (with `V`, `D` & `E` as an `outParam`).
* `GraphLike.verts : Set V`: The set of vertices of the graph.
* `GraphLike.darts : Set D`: The set of darts of the graph.
* `GraphLike.edges : Set E`: The set of edges of the graph.
* `GraphLike.Adj : V → V → Prop`: The adjacency relation, defined by default as `∃ d ∈ darts, fst d = u ∧ snd d = v`.
---
This PR generalises #35776 to also unify `Graph`.
PRs depending on this PR are
#39047 (graphLike with no multi edges) => #39050 (Digraph is graphLike)
||
V
#36829 (undirected graphLike) => #39053 (Graph is graphLike) & #39054 (Simplegraph is graphLike)
||
V
#36756 (def of walk on GraphLike) => #36971 (change Simplegraph to use GraphLike walk)
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|
t-combinatorics |
104/0 |
Mathlib.lean,Mathlib/Combinatorics/GraphLike/Basic.lean |
2 |
78 |
['IvanRenison', 'Jun2M', 'SnirBroshi', 'YaelDillies', 'github-actions', 'lauramonk', 'mathlib-merge-conflicts'] |
nobody |
64-80557 2 months ago |
110-24960 110 days ago |
161-23363 161 days |
| 40967 |
Formalistic03 author:Formalistic03 |
feat(Combinatorics/SimpleGraph/Paths): some lemmas about inducing walks |
Could also be done via `SimpleGraph.Walk.map_induce`, but I thought that doing it directly is not much worse.
---
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|
new-contributor
t-combinatorics
|
48/0 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Maps.lean,Mathlib/Data/List/Nodup.lean |
3 |
2 |
['github-actions'] |
nobody |
60-65727 1 month ago |
64-15553 64 days ago |
64-15625 64 days |
| 39747 |
vihdzp author:vihdzp |
feat: intervals `Ici`/`Ioi` are cofinal/closed under directed suprema |
---
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|
t-order |
67/11 |
Mathlib/Order/Cofinal.lean,Mathlib/Order/DirSupClosed.lean,Mathlib/Order/Interval/Set/Basic.lean,Mathlib/Order/UpperLower/Basic.lean,Mathlib/Topology/Order/ScottTopology.lean |
5 |
16 |
['YaelDillies', 'b-mehta', 'github-actions', 'vihdzp'] |
nobody |
60-32615 1 month ago |
94-29156 94 days ago |
95-7113 95 days |
| 39783 |
SnirBroshi author:SnirBroshi |
feat(Order/Interval/Finset): `Set.ncard` lemmas for `LocallyFiniteOrder` |
Followup to #39414 which untagged `Fintype.card_I??` as `@[simp]`.
Adds `Cardinal.mk`/`Set.encard`/`Set.ncard` lemmas for the 8 interval sets `Set.I??` (= 24 lemmas),
that convert them to `Finset.card` over the corresponding `Finset.I??` from a `LocallyFiniteOrder` instance.
---
`simp`? I think it's a bit strange since the `LocallyFiniteOrder` instance could have crazy definitions for the finset intervals which aren't "simpler", though the instances we currently have are simple.
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|
t-order |
115/0 |
Mathlib.lean,Mathlib/Order/Interval/Finset/Card.lean |
2 |
1 |
['github-actions'] |
nobody |
60-32545 1 month ago |
94-25054 94 days ago |
94-25340 94 days |
| 40561 |
iosephusferrum author:iosephusferrum |
feat(ModelTheory): quantifier elimination for first-order theories |
This PR introduces `HasQuantifierElimination` for first-order languages, along with some standard criteria to establish it for any language that satisfies them and prerequisite formalization `mathlib4` required on elementary extension pairs (`IsElementaryExtensionPair`) and < κ-generated substructures (`CardinalLTGenerated`). It also states and proves that the first-order theory DLO (dense linear order without endpoints) has quantifier elimination (`dlo_hasQuantifierElimination`), using the newly formalized quantifier elimination criteria.
Co-authored-by: Yağız Kaan Aydoğdu <y.kaan.aydogdu@gmail.com>
Co-authored-by: Salih Erdem Koçak <saliherdemkd@gmail.com>
Advised-by: Ayhan Günaydın <ayhan.gunaydin@bogazici.edu.tr>
Advised-by: Metin Ersin Arıcan <metin.arican@bogazici.edu.tr>
---
[](https://gitpod.io/from-referrer/)
Please note that we have utilized agentic AI tools (Claude Opus, ChatGPT Codex) during the development of this PR. Most of the proofs of the major theorems are directly "translated" from human-language source material (check the diff in `references.bib`) to Lean proofs using mentioned AI tools. However, all design/formalization decisions are made by us. |
new-contributor
LLM-generated
|
976/7 |
Mathlib.lean,Mathlib/ModelTheory/Complexity.lean,Mathlib/ModelTheory/ElementaryExtensionPair.lean,Mathlib/ModelTheory/FinitelyGenerated.lean,Mathlib/ModelTheory/Order.lean,Mathlib/ModelTheory/PartialEquiv.lean,Mathlib/ModelTheory/QuantifierElimination.lean,Mathlib/ModelTheory/Semantics.lean,Mathlib/ModelTheory/Substructures.lean,Mathlib/Tactic/Linter/TextBased/UnicodeLinter.lean,docs/references.bib |
11 |
6 |
['erdkocak', 'felixpernegger', 'github-actions'] |
nobody |
60-3455 1 month ago |
75-6065 75 days ago |
75-6338 75 days |
| 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'] |
nobody |
56-83088 1 month ago |
56-84277 56 days ago |
56-84264 56 days |
| 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 |
56-28617 1 month ago |
56-29163 56 days ago |
60-31604 60 days |
| 38432 |
SnirBroshi author:SnirBroshi |
feat(Logic/Relation): `Map r f g ≤ s ↔ r ≤ s.bicompl f g` |
and the dual `s ≤ Relation.Map r f g ↔ s.bicompl f g ≤ r` which requires `f` and `g` to be bijective.
Adds `Galois{Connection/Insertion/Coinsertion}` for the dual.
The theorems are specialized to `onFun` instead of `bicompl` for when `f = g`.
A `GaloisConnection` for the iff in the title requires `f`/`g` to be bijective, but then we can get an `OrderIso` which is stronger (see #38499).
---
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|
t-logic |
126/28 |
Mathlib/Logic/Relation.lean,Mathlib/Order/GaloisConnection/Basic.lean |
2 |
5 |
['SnirBroshi', 'github-actions', 'plp127'] |
nobody |
56-25703 1 month ago |
56-28745 56 days ago |
124-46382 124 days |
| 41297 |
plp127 author:plp127 |
feat: cardinality of `Ultrafilter` |
We prove there are `2 ^ 2 ^ #α` ultrafilters on an infinite type `α`. For completeness, we also provide the cardinality lemma when `α` is finite.
---
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|
t-order
t-set-theory
|
142/0 |
Mathlib.lean,Mathlib/Order/Filter/Basic.lean,Mathlib/Order/Filter/Ultrafilter/Basic.lean,Mathlib/Order/Filter/Ultrafilter/Cardinality.lean |
4 |
1 |
['github-actions'] |
nobody |
55-13119 1 month ago |
55-34177 55 days ago |
55-34164 55 days |
| 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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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-order
|
272/0 |
Mathlib.lean,Mathlib/Order/Category/PartOrd/CartesianClosed.lean,Mathlib/Order/Category/PartOrd/Distributive.lean,Mathlib/Order/Category/Preord/CartesianClosed.lean,Mathlib/Order/Category/Preord/Distributive.lean |
5 |
5 |
['github-actions', 'intgrah'] |
nobody |
55-11486 1 month ago |
56-36064 56 days ago |
56-36051 56 days |
| 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
|
905/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/CategoryTheory/MkConcreteCategory.lean,MathlibTest/CategoryTheory/MkConcreteCategory.lean |
4 |
8 |
['dagurtomas', 'eric-wieser', 'github-actions'] |
nobody |
54-80510 1 month ago |
111-70104 111 days ago |
111-70852 111 days |
| 34799 |
vlad902 author:vlad902 |
feat(SimpleGraph): the cycle graph and complete graph are Hamiltonian |
---
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[](https://gitpod.io/from-referrer/) |
t-combinatorics
large-import
|
22/0 |
Mathlib/Combinatorics/SimpleGraph/Hamiltonian.lean |
1 |
6 |
['SnirBroshi', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
54-55067 1 month ago |
56-12896 56 days ago |
56-13434 56 days |
| 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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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
58/0 |
Mathlib/Combinatorics/SimpleGraph/Subgraph.lean |
1 |
1 |
['github-actions'] |
nobody |
54-27761 1 month ago |
54-29125 54 days ago |
54-29112 54 days |
| 41305 |
martinwintermath author:martinwintermath |
feat(Geometry/Convex/ConvexSpace): consistency adjustments for convexity on module and affine space |
This PR makes a few consistency adjustments to improve the use of `ConvexSpace` with modules and affine spaces.
- make `IsModuleConvexSpace.ofModule` into an instance
- deprecate `isModuleConvexSpace_self` since now derived from `IsModuleConvexSpace.ofModule`
- rename `ConvexSpace.ofAddTorsor := AddTorsor.toConvexSpace`
- add class `IsAffineConvexSpace` and instance `IsAffineConvexSpace.ofAddTorsor`
- add instance deriving `IsAffineConvexSpace R V V` from `IsModuleConvexSpace R V`
With this PR, to use the standard convexity on an affine space we do no longer need the (usually too agressiv)
```lean4
attribute [local instance] AddTorsor.toConvexSpace
```
but the more general
```lean4
variable [ConvexSpace R P] [IsAffineConvexSpace R V P]
```
which now works analogously to convexity on modules. See the fixed instance `IsConvexDist` for metric spaces.
Zulip: [#PR reviews > Convexity refactor](https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/Convexity.20refactor/with/607934406)
---
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[](https://gitpod.io/from-referrer/)
|
t-convex-geometry |
49/16 |
Mathlib/Analysis/Convex/MetricSpace.lean,Mathlib/Geometry/Convex/ConvexSpace/AffineSpace.lean,Mathlib/Geometry/Convex/ConvexSpace/Module.lean |
3 |
1 |
['github-actions'] |
nobody |
54-23080 1 month ago |
55-1891 55 days ago |
55-6282 55 days |
| 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 |
4 |
['felixpernegger', 'github-actions'] |
nobody |
53-78775 1 month ago |
53-81030 53 days ago |
53-81017 53 days |
| 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.
---
- [ ] depends on: #40737
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[](https://gitpod.io/from-referrer/)
|
new-contributor |
133/0 |
Mathlib.lean,Mathlib/Topology/Sheaves/KSheaf.lean |
2 |
9 |
['github-actions', 'joelriou', 'mathlib-dependent-issues', 'ymonbru'] |
nobody |
53-55274 1 month ago |
53-55274 53 days ago |
53-65996 53 days |
| 41358 |
erdkocak author:erdkocak |
doc(ModelTheory): fix partial equivalence theorem reference |
Fix a stale module doc reference in `ModelTheory.PartialEquiv`: the theorem is `equiv_between_cg`, and the conclusion is an isomorphism `M ≃[L] N`.
---
This documentation-only PR was split out from #41111 following review feedback.
Please note that ChatGPT Codex was used to help prepare this documentation-only PR. |
t-logic
new-contributor
|
3/3 |
Mathlib/ModelTheory/PartialEquiv.lean |
1 |
2 |
['github-actions'] |
nobody |
53-50343 1 month ago |
53-50932 53 days ago |
53-50919 53 days |
| 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 |
53-49488 1 month ago |
53-50295 53 days ago |
59-47971 59 days |
| 39864 |
8e7 author:8e7 |
feat(Combinatorics/SimpleGraph/Acyclic): helly property on subtrees |
This PR adds several lemmas regarding connected subsets of vertices in trees (subtrees). The main result is the Helly property for subtrees: For a finite set of subtrees, if any pair of subtrees intersect, then there is a common vertex in all subtrees.
This lemma is part of an effort to formalize tree decompositions (see #38334), and will be used in a future PR to prove `G.cliqueNum - 1 <= G.treeWidth`.
AI Usage: The proofs were developed with the help of Claude Code. I vouch for all the code written and understand the content fully.
---
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
LLM-generated
|
114/0 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Subgraph.lean |
2 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
52-70509 1 month ago |
52-71064 52 days ago |
70-85224 70 days |
| 37683 |
SabrinaJewson author:SabrinaJewson |
feat(Order/OrdContinuous): every map between complete lattices that preserves sSup is a left adjoint of some Galois connection |
It is already proven that the left side of a Galois connection is left-continuous; this provides the converse.
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-order
|
14/0 |
Mathlib/Order/OrdContinuous.lean |
1 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
51-9121 1 month ago |
51-10788 51 days ago |
51-12222 51 days |
| 41393 |
SnirBroshi author:SnirBroshi |
feat(SimpleGraph/Hamiltonian): a graph is Hamiltonian iff there's a Hamiltonian path with adjacent endpoints |
---
The new public import is needed because `Nat.card` was previously only imported privately.
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|
t-combinatorics |
38/1 |
Mathlib/Combinatorics/SimpleGraph/Hamiltonian.lean |
1 |
1 |
['github-actions'] |
nobody |
50-56464 1 month ago |
51-83957 51 days ago |
51-83944 51 days |
| 40303 |
MichaelStollBayreuth author:MichaelStollBayreuth |
feat(AlgebraicGeometry/EllipticCurve/Affine): more on `xRep` |
This PR adds explicit formulas for `xRep` of a sum of two (affine) points on a Weierstrass curve.
This will be needed on the way to the Mordell-Weil Theorem for elliptic curves.
---
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|
t-algebraic-geometry |
116/0 |
Mathlib/AlgebraicGeometry/EllipticCurve/Affine/Formula.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Affine/Point.lean |
2 |
17 |
['MichaelStollBayreuth', 'Multramate', 'github-actions'] |
Multramate and mattrobball assignee:Multramate assignee:mattrobball |
50-39472 1 month ago |
60-13637 60 days ago |
81-12270 81 days |
| 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 |
8/5 |
Mathlib/Combinatorics/SimpleGraph/Coloring/EdgeLabeling.lean |
1 |
1 |
['github-actions'] |
nobody |
50-9826 1 month ago |
50-11716 50 days ago |
50-11703 50 days |
| 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 |
29/4 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Star.lean |
2 |
3 |
['github-actions', 'vlad902'] |
nobody |
49-68131 1 month ago |
56-27163 56 days ago |
56-82855 56 days |
| 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 |
44/23 |
Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean,Mathlib/Combinatorics/SimpleGraph/CycleGraph.lean,Mathlib/Combinatorics/SimpleGraph/Hasse.lean |
3 |
13 |
['SnirBroshi', 'github-actions', 'vlad902'] |
nobody |
49-36727 1 month ago |
54-55072 54 days ago |
54-55101 54 days |
| 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 |
49-26979 1 month ago |
49-26979 49 days ago |
65-69243 65 days |
| 41399 |
vlad902 author:vlad902 |
feat(MvPolynomial): ideal generated by variables is prime over a domain |
---
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 |
38/5 |
Mathlib/Algebra/MvPolynomial/Variables.lean,Mathlib/RingTheory/MvPolynomial/Ideal.lean |
2 |
1 |
['github-actions'] |
nobody |
48-52162 1 month ago |
51-52056 51 days ago |
51-53454 51 days |
| 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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|
t-ring-theory
new-contributor
|
13/0 |
Mathlib/RingTheory/TwoSidedIdeal/Lattice.lean |
1 |
5 |
['Whysoserioushah', 'github-actions', 'kbuzzard'] |
nobody |
48-21310 1 month ago |
48-23753 48 days ago |
48-31517 48 days |
| 41548 |
JovanGerb author:JovanGerb |
chore: use `to_dual` for `DedekindCut` |
This PR uses `to_dual` in DedekindCut.
To make this work, we add a shortcut `PartialOrder` instance. We also add some specialized `DedekindCut` theorems, from the more general `Concept` theorems.
Two `gcongr` tags are also added on appropriate lemmas.
---
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|
t-order |
35/18 |
Mathlib/Order/Completion.lean |
1 |
1 |
['github-actions'] |
nobody |
48-18106 1 month ago |
48-18839 48 days ago |
48-18826 48 days |
| 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 |
47-38409 1 month ago |
47-39277 47 days ago |
49-39373 49 days |
| 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 |
45-73492 1 month ago |
45-74061 45 days ago |
45-74048 45 days |
| 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 |
1 |
['github-actions'] |
nobody |
45-63264 1 month ago |
45-63916 45 days ago |
45-63903 45 days |
| 41613 |
WenrongZou author:WenrongZou |
feat(ModularForm): add eisensteinSeries G_k^v |
This PR add the Eisenstein series $G_k^{\bar{v}}$, and prove it as a sum of Eisenstein series $E_k^{\bar{v}}$.
---
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|
large-import |
179/0 |
Mathlib/Data/ZMod/Basic.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/Basic.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/Defs.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/IsBoundedAtImInfty.lean |
4 |
2 |
['github-actions', 'mathlib-bors'] |
nobody |
45-53712 1 month ago |
45-53712 45 days ago |
45-56920 45 days |
| 40692 |
pechersky author:pechersky |
feat(GroupTheory/Finite): torsion free and FG WithOne M is when M is |
Couldn't find a better place for these
---
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- [ ] depends on #40690 |
t-group-theory |
62/3 |
Mathlib/Algebra/Group/Hom/Defs.lean,Mathlib/Algebra/Group/Nat/Hom.lean,Mathlib/Algebra/Group/WithOne/Basic.lean,Mathlib/GroupTheory/MonoidLocalization/Finite.lean |
4 |
2 |
['github-actions'] |
nobody |
44-13698 1 month ago |
44-17181 44 days ago |
44-21854 44 days |
| 41636 |
adomani author:adomani |
chore: add missing `to_additive` docstrings in Algebra/Group actions and homs |
Adds the missing additive doc-strings (multiplicative side has a hand-written doc-string, additive side did not) across 7 file(s) in **Algebra/Group actions and homs**.
The additive doc-strings are simple-minded translations of the multiplicative ones, with referenced lemma names replaced by their `to_additive` counterparts. These gaps were found by an environment linter that pairs each declaration with its `to_additive` counterpart and checks that both or neither is documented.
🤖 Generated with [Claude Code](https://claude.com/claude-code) |
LLM-generated
t-algebra
label:t-algebra$ |
60/21 |
Mathlib/Algebra/Group/Action/Defs.lean,Mathlib/Algebra/Group/Action/Faithful.lean,Mathlib/Algebra/Group/Action/Hom.lean,Mathlib/Algebra/Group/Action/Units.lean,Mathlib/Algebra/Group/Equiv/Defs.lean,Mathlib/Algebra/Group/Hom/Defs.lean,Mathlib/Algebra/Group/Units/Hom.lean |
7 |
14 |
['JovanGerb', 'adomani', 'artie2000', 'github-actions'] |
nobody |
44-4655 1 month ago |
44-43900 44 days ago |
45-43753 45 days |
| 41713 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Finite): the `Fintype` instance for `incidenceSet` doesn't need `DecidableEq` |
Now it only requires `Fintype (G.neighborSet v)`.
This caused `incidenceFinset` and theorems about it to complain that `DecidableEq` is unused, so I changed `incidenceFinset` to require `Fintype (G.incidenceSet v)` and fixed the theorems. Theorems that require a finite `neighborSet` can avoid this.
---
The theorem below it also doesn't need `DecidableEq` anymore.
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|
t-combinatorics |
15/10 |
Mathlib/Combinatorics/SimpleGraph/Finite.lean |
1 |
1 |
['github-actions'] |
nobody |
43-74668 1 month ago |
43-75242 43 days ago |
43-75764 43 days |
| 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 |
43-70119 1 month ago |
43-70687 43 days ago |
44-74964 44 days |
| 41435 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Hamiltonian): a graph with a Hamiltonian path is connected |
and other small Hamiltonian lemmas.
---
The new public import is needed because `Nat.card` was previously only imported privately.
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|
t-combinatorics |
87/18 |
Mathlib/Combinatorics/SimpleGraph/Hamiltonian.lean |
1 |
1 |
['github-actions'] |
nobody |
43-57463 1 month ago |
48-58190 48 days ago |
50-76636 50 days |
| 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 |
43-56032 1 month ago |
43-56638 43 days ago |
43-56625 43 days |
| 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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|
t-combinatorics
large-import
|
205/1 |
Mathlib/Combinatorics/SimpleGraph/Extremal/ErdosStoneSimonovits.lean |
1 |
8 |
['barni120400', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'mitchell-horner'] |
nobody |
43-41751 1 month ago |
54-34644 54 days ago |
54-43710 54 days |
| 41709 |
metakunt author:metakunt |
feat(Data/Multiset): change definition of Multiset.Pairwise |
Currently the definition of Multiset.Pairwise seems not right to me. For my project I need to get a decidable instance for a Finset.Pairwise, but the current definition doesn't seem correct and it can't even give me a decidable instance of Pairwise. |
t-data
large-import
|
71/60 |
Mathlib/Data/Finsupp/BigOperators.lean,Mathlib/Data/Fintype/List.lean,Mathlib/Data/Multiset/Bind.lean,Mathlib/Data/Multiset/Defs.lean,Mathlib/Data/Multiset/Pairwise.lean,Mathlib/Data/Multiset/Replicate.lean,Mathlib/Data/Multiset/ZeroCons.lean,Mathlib/Logic/Relation.lean |
8 |
13 |
['SnirBroshi', 'github-actions', 'metakunt'] |
nobody |
43-34077 1 month ago |
43-34077 43 days ago |
43-34075 43 days |
| 41737 |
jjdishere author:jjdishere |
feat(CategoryTheory/AB5): AB5 instance of Ab with universe variables |
When u <= v <= w, we show `AB5OfSize.{u, v} Ab.{w}`.
(Only `AB5OfSize.{u, u + 1} Ab.{u + 1}` is need in my further application.)
Co-authored-by: @chrisflav
---
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|
t-algebra label:t-algebra$ |
13/1 |
Mathlib/Algebra/Category/Grp/AB.lean |
1 |
1 |
['github-actions'] |
nobody |
43-30534 1 month ago |
43-31110 43 days ago |
43-31097 43 days |
| 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 |
23/1 |
Mathlib/Combinatorics/SimpleGraph/Trails.lean |
1 |
4 |
['SnirBroshi', 'github-actions', 'vlad902'] |
nobody |
42-80731 1 month ago |
48-66739 48 days ago |
48-66726 48 days |
| 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
label:t-algebra$ |
22/0 |
Mathlib/LinearAlgebra/TensorPower/Basic.lean |
1 |
4 |
['github-actions', 'teng10'] |
nobody |
42-24867 1 month ago |
42-27467 42 days ago |
42-27470 42 days |
| 41403 |
YaelDillies author:YaelDillies |
chore(Algebra/SkewMonoidAlgebra): deprecate `sum` |
One should just use `Finsupp.sum` instead.
---
- [x] depends on: #41365
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|
t-algebra label:t-algebra$ |
125/154 |
Mathlib/Algebra/SkewMonoidAlgebra/Basic.lean,Mathlib/Algebra/SkewMonoidAlgebra/Lift.lean,Mathlib/Algebra/SkewMonoidAlgebra/Support.lean,Mathlib/Algebra/SkewPolynomial/Basic.lean |
4 |
15 |
['YaelDillies', 'eric-wieser', 'github-actions', 'mathlib-dependent-issues'] |
nobody |
42-15913 1 month ago |
49-41176 49 days ago |
49-44765 49 days |
| 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 |
42-10386 1 month ago |
42-10963 42 days ago |
42-10950 42 days |
| 38815 |
dagurtomas author:dagurtomas |
feat(Tactic/CategoryTheory): extend `@[to_app]` to natural transformations |
This extends the `@[to_app]` attribute so it also generates componentwise lemmas from equalities of natural transformations between functors, while preserving the existing bicategory behavior. It also ensures generated component lemmas remain usable by dsimp when they are definitionally true. |
t-category-theory
LLM-generated
t-meta
|
148/22 |
Mathlib/Tactic/CategoryTheory/ToApp.lean,Mathlib/Util/AddRelatedDecl.lean,MathlibTest/CategoryTheory/ToApp.lean |
3 |
1 |
['github-actions'] |
nobody |
41-80557 1 month ago |
117-19657 117 days ago |
117-19698 117 days |
| 37680 |
IvanRenison author:IvanRenison |
feat(Combinatorics/SimpleGraph/Clique): add lemmas about isomorphisms and cliques |
---
Idea from this Zulip thread: [#**graph theory>Second Order Monadic Logic for Graph** ](https://leanprover.zulipchat.com/#narrow/channel/252551-graph-theory/topic/Second.20Order.20Monadic.20Logic.20for.20Graph/with/583013775)
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|
t-combinatorics |
86/0 |
Mathlib/Combinatorics/SimpleGraph/Clique.lean |
1 |
6 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
41-80555 1 month ago |
80-34732 80 days ago |
80-35251 80 days |
| 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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|
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 |
41-78278 1 month ago |
41-78799 41 days ago |
49-61747 49 days |
| 41447 |
SnirBroshi author:SnirBroshi |
chore(Combinatorics/SimpleGraph/Trails): golf and cleanup |
---
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|
t-combinatorics |
45/77 |
Mathlib/Combinatorics/SimpleGraph/Trails.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Basic.lean |
2 |
1 |
['github-actions'] |
nobody |
41-70520 1 month ago |
50-25970 50 days ago |
50-25957 50 days |
| 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
large-import
|
42/7 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean,Mathlib/Combinatorics/SimpleGraph/Trails.lean |
2 |
1 |
['github-actions'] |
nobody |
41-70314 1 month ago |
46-21848 46 days ago |
46-21835 46 days |
| 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 |
5 |
['b-mehta', 'espottesmith', 'github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
41-32588 1 month ago |
66-29596 66 days ago |
203-33331 203 days |
| 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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|
t-order |
2/2 |
Mathlib/Order/Basic.lean |
1 |
4 |
['Timeroot', 'github-actions', 'leanprover-radar'] |
nobody |
41-26491 1 month ago |
41-31894 41 days ago |
41-31881 41 days |
| 41732 |
vaca22 author:vaca22 |
feat(RingTheory/ClassGroup): add mulEquiv_mk0 |
Add a simp lemma describing how the class-group equivalence induced by a ring equivalence acts on the class of a nonzero ideal.
The image is the class of the ideal mapped along the ring equivalence. The proof compares the corresponding fractional ideals through the existing class-group equivalence and localization membership API.
**AI disclosure**: this PR is primarily LLM-generated (Claude Code).
|
t-ring-theory
new-contributor
LLM-generated
|
43/0 |
Mathlib/RingTheory/ClassGroup/Basic.lean |
1 |
3 |
['github-actions', 'vaca22'] |
nobody |
41-21579 1 month ago |
43-36853 43 days ago |
43-36840 43 days |
| 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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|
t-data |
86/3 |
Mathlib/Data/PFun.lean,Mathlib/Data/Part.lean |
2 |
2 |
['github-actions'] |
nobody |
41-10709 1 month ago |
41-15395 41 days ago |
41-15382 41 days |
| 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 |
['github-actions'] |
nobody |
41-9090 1 month ago |
41-9145 41 days ago |
41-9133 41 days |
| 41729 |
vaca22 author:vaca22 |
feat(RingTheory/DedekindDomain): add divisor group core |
Add the formal divisor group of a Dedekind domain and bundle the existing factorization API as an additive equivalence between nonzero fractional ideals and divisors.
Divisors are finitely supported integer-valued functions on height-one primes. divisor records FractionalIdeal.count, ofDivisor reconstructs a fractional ideal from prime powers, and divisorEquiv proves these operations are inverse and send ideal multiplication to divisor addition.
------------
This is the core of the earlier larger proposal. Principal divisors and weighted degrees are deliberately left for later pull requests.
**AI disclosure**: this PR is primarily LLM-generated (Claude Code).
|
t-ring-theory
new-contributor
LLM-generated
|
100/0 |
Mathlib.lean,Mathlib/RingTheory/DedekindDomain/Divisor.lean |
2 |
4 |
['github-actions', 'grunweg', 'vaca22'] |
nobody |
41-5026 1 month ago |
41-5026 41 days ago |
43-2216 43 days |
| 41863 |
scholzhannah author:scholzhannah |
chore(Order/Filter/Extr): rename various lemmas |
Per the mathlib naming conventions
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|
t-order |
95/61 |
Mathlib/Analysis/Calculus/LocalExtr/LineDeriv.lean,Mathlib/Analysis/Complex/AbsMax.lean,Mathlib/Order/Filter/Extr.lean,Mathlib/Topology/Order/LocalExtr.lean,Mathlib/Topology/Order/Rolle.lean |
5 |
2 |
['github-actions'] |
nobody |
40-24521 1 month ago |
40-24568 40 days ago |
40-24563 40 days |
| 40624 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Finite): `Set.ncard` of `neighborSet` |
Since #39414 the simpNF of the cardinality of `neighborSet` uses `Set.ncard` rather than `Fintype.card`, therefore we import `Set.ncard` into `SimpleGraph/Finite.lean` and show `(G.neighborSet v).ncard = G.degree v`.
Also includes some other results that benefit from the import/lemma:
- `(commonNeighbors ⊤ u v).encard = ENat.card V - 2`
- `(G.map f).degree (f v) = G.degree v` for an injective `f`
- `G'.degree (f v) = G.degree v` for `f : G ↪g G'`, given `G'.neighborSet (f v) ⊆ Set.range f`
---
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|
t-combinatorics
large-import
|
44/7 |
Mathlib/Combinatorics/SimpleGraph/Finite.lean,Mathlib/Combinatorics/SimpleGraph/IncMatrix.lean,Mathlib/Combinatorics/SimpleGraph/Subgraph.lean |
3 |
1 |
['github-actions'] |
nobody |
39-85806 1 month ago |
72-45710 72 days ago |
72-45697 72 days |
| 41611 |
SnirBroshi author:SnirBroshi |
chore(Data/Seq/Computation): golf using `grind` |
---
- `LiftRel.refl`: ? to 12ms
- `LiftRel.symm`: 10ms to 16ms
- `LiftRel.trans`: 13ms to 23ms
- `LiftRel.imp`: 11ms to 19ms
- `terminates_of_liftRel`: 14ms to 14ms
- `rel_of_liftRel`: 11ms to 15ms
- `liftRel_of_mem`: ? to 22ms
- `liftRel_def`: 20ms to 60ms
- `liftRel_bind`: 40ms to 55ms
- `liftRel_pure_left`: 15ms to 33ms
- `liftRel_think_left`: ? to 40ms
- `liftRel_congr`: ? to 35ms
- `LiftRelAux.ret_left`: 18ms to 18ms
(the question marks mean that `trace.profiler` doesn't output anything, maybe they're below 1ms?)
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|
t-data |
28/85 |
Mathlib/Data/Seq/Computation.lean |
1 |
5 |
['SnirBroshi', 'github-actions', 'grunweg', 'leanprover-radar'] |
nobody |
39-83320 1 month ago |
39-84871 39 days ago |
40-35062 40 days |
| 41649 |
xroblot author:xroblot |
feat(FieldTheory/IntermediateField): adjoining a shifted or scaled generator |
Add two lemmas about simple intermediate field extensions:
* `IntermediateField.adjoin_simple_add_algebraMap`: `F⟮x + algebraMap F E y⟯ = F⟮x⟯` for `y` in the base field `F`.
* `IntermediateField.adjoin_simple_mul_algebraMap`: `F⟮x * algebraMap F E y⟯ = F⟮x⟯` for `y` a nonzero element of `F`.
Translating the generator by a base-field element, or scaling it by a nonzero base-field element, leaves the simple extension unchanged.
:robot: This PR was extracted from the [SKW project](https://github.com/xroblot/SKW) by Claude. |
t-algebra label:t-algebra$ |
21/0 |
Mathlib/FieldTheory/IntermediateField/Adjoin/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
39-74973 1 month ago |
45-38118 45 days ago |
45-38105 45 days |
| 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 |
67/0 |
Mathlib/RingTheory/UniqueFactorizationDomain/Multiplicity.lean |
1 |
1 |
['github-actions'] |
nobody |
39-74143 1 month ago |
46-37244 46 days ago |
54-54213 54 days |
| 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$ |
13/0 |
Mathlib/Algebra/Lie/Derivation/BaseChange.lean |
1 |
1 |
['github-actions'] |
nobody |
39-31760 1 month ago |
39-32305 39 days ago |
39-35268 39 days |
| 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
|
6/5 |
Mathlib/RingTheory/Depth/Rees.lean |
1 |
1 |
['github-actions'] |
nobody |
39-26929 1 month ago |
39-26985 39 days ago |
39-26972 39 days |
| 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 |
39-26928 1 month ago |
39-26955 39 days ago |
39-26942 39 days |
| 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 |
39-26432 1 month ago |
39-26432 39 days ago |
39-26419 39 days |
| 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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|
t-combinatorics |
29/60 |
Mathlib/Combinatorics/SimpleGraph/Connectivity/Subgraph.lean,Mathlib/Combinatorics/SimpleGraph/Paths.lean |
2 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
39-24660 1 month ago |
39-25989 39 days ago |
50-56438 50 days |
| 41829 |
felixpernegger author:felixpernegger |
perf: explicitly specify free universes in `ModuleCat` |
Like #40964, but for `ModuleCat`
---
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t-algebra label:t-algebra$ |
197/193 |
Mathlib/Algebra/Category/AlgCat/Symmetric.lean,Mathlib/Algebra/Category/CoalgCat/Basic.lean,Mathlib/Algebra/Category/CoalgCat/ComonEquivalence.lean,Mathlib/Algebra/Category/CoalgCat/Monoidal.lean,Mathlib/Algebra/Category/FGModuleCat/Basic.lean,Mathlib/Algebra/Category/Grp/ZModuleEquivalence.lean,Mathlib/Algebra/Category/ModuleCat/Adjunctions.lean,Mathlib/Algebra/Category/ModuleCat/Basic.lean,Mathlib/Algebra/Category/ModuleCat/Differentials/Basic.lean,Mathlib/Algebra/Category/ModuleCat/FilteredColimits.lean,Mathlib/Algebra/Category/ModuleCat/Images.lean,Mathlib/Algebra/Category/ModuleCat/Kernels.lean,Mathlib/Algebra/Category/ModuleCat/Limits.lean,Mathlib/Algebra/Category/ModuleCat/Localization.lean,Mathlib/Algebra/Category/ModuleCat/Monoidal/Adjunction.lean,Mathlib/Algebra/Category/ModuleCat/Monoidal/Basic.lean,Mathlib/Algebra/Category/ModuleCat/Monoidal/Closed.lean,Mathlib/Algebra/Category/ModuleCat/Monoidal/Symmetric.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/ColimitFunctor.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/Monoidal.lean,Mathlib/Algebra/Category/ModuleCat/Subobject.lean,Mathlib/Algebra/Homology/ShortComplex/ModuleCat.lean,Mathlib/AlgebraicGeometry/Modules/Tilde.lean,Mathlib/AlgebraicGeometry/StructureSheaf.lean,Mathlib/CategoryTheory/Abelian/Ext.lean,Mathlib/CategoryTheory/Abelian/GrothendieckCategory/ModuleEmbedding/GabrielPopescu.lean,Mathlib/CategoryTheory/Limits/ConcreteCategory/WithAlgebraicStructures.lean,Mathlib/CategoryTheory/Linear/Yoneda.lean,Mathlib/Condensed/Discrete/Module.lean,Mathlib/Condensed/Light/Explicit.lean,Mathlib/Condensed/Light/Small.lean,Mathlib/LinearAlgebra/QuadraticForm/QuadraticModuleCat.lean,Mathlib/LinearAlgebra/QuadraticForm/QuadraticModuleCat/Monoidal.lean,Mathlib/LinearAlgebra/QuadraticForm/QuadraticModuleCat/Symmetric.lean,Mathlib/RepresentationTheory/Coinvariants.lean,Mathlib/RepresentationTheory/Homological/GroupCohomology/Basic.lean,Mathlib/RepresentationTheory/Homological/GroupCohomology/Functoriality.lean,Mathlib/RepresentationTheory/Homological/GroupCohomology/LongExactSequence.lean,Mathlib/RepresentationTheory/Homological/GroupHomology/Basic.lean,Mathlib/RepresentationTheory/Homological/GroupHomology/Functoriality.lean,Mathlib/RepresentationTheory/Homological/GroupHomology/LongExactSequence.lean,Mathlib/RepresentationTheory/Homological/GroupHomology/LowDegree.lean,Mathlib/RepresentationTheory/Homological/Resolution.lean,Mathlib/RepresentationTheory/Homological/TateCohomology/Basic.lean,Mathlib/RepresentationTheory/Invariants.lean,Mathlib/RepresentationTheory/Rep/Basic.lean,Mathlib/RepresentationTheory/Rep/Iso.lean,Mathlib/RingTheory/Depth/Rees.lean,Mathlib/RingTheory/Flat/CategoryTheory.lean,Mathlib/RingTheory/Regular/Category.lean |
51 |
10 |
['felixpernegger', 'github-actions', 'leanprover-radar', 'mathlib-bors'] |
nobody |
39-15547 1 month ago |
41-9263 41 days ago |
41-10219 41 days |
| 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'] |
nobody |
38-69470 1 month ago |
38-70027 38 days ago |
47-43221 47 days |
| 41911 |
kedlaya author:kedlaya |
feat(FieldTheory): implement Artin-Schreier extensions, Artin-Schreier theorem |
Implement the Artin-Schreier description of cyclic degree-p extensions of fields of characteristic p, and the related theorem of Artin-Schreier that a field with a finite algebraically closed extension is either algebraically closed or real closed.
|
t-algebra
new-contributor
label:t-algebra$ |
486/0 |
Mathlib.lean,Mathlib/Algebra/Polynomial/FieldDivision.lean,Mathlib/FieldTheory/ArtinSchreierExtension.lean,Mathlib/FieldTheory/IsRealClosed/ArtinSchreier.lean |
4 |
11 |
['SnirBroshi', 'github-actions', 'jcommelin', 'kedlaya'] |
nobody |
38-65910 1 month ago |
38-74760 38 days ago |
38-76088 38 days |
| 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'] |
nobody |
38-22215 1 month ago |
38-22754 38 days ago |
57-17146 57 days |
| 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 |
37-81314 1 month ago |
38-8657 38 days ago |
38-8644 38 days |
| 41947 |
hawkrobe author:hawkrobe |
feat(Order/Antisymmetrization): comparable minimal elements are equivalent |
Adds `Minimal.antisymmRel_of_ge` and `Minimal.antisymmRel_of_symmGen` at preorder generality.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-order
|
32/3 |
Mathlib/Order/Antisymmetrization.lean |
1 |
2 |
['github-actions'] |
nobody |
37-67695 1 month ago |
37-71781 37 days ago |
37-71768 37 days |
| 41556 |
Thmoas-Guan author:Thmoas-Guan |
feat(RingTheory): add lemmas about `reesAlgebra` |
---
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|
t-ring-theory
large-import
|
40/1 |
Mathlib/RingTheory/ReesAlgebra.lean |
1 |
4 |
['github-actions', 'vlad902'] |
nobody |
37-52467 1 month ago |
47-76141 47 days ago |
47-76128 47 days |
| 41860 |
tb65536 author:tb65536 |
feat(GroupTheory/Index): formula for index of centralizer of an element |
This PR proves the formula for the index of the centralizer of an element.
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|
t-algebra
t-group-theory
label:t-algebra$ |
23/1 |
Mathlib/GroupTheory/GroupAction/Basic.lean,Mathlib/GroupTheory/Index.lean |
2 |
3 |
['github-actions', 'plp127', 'tb65536'] |
nobody |
36-58740 1 month ago |
40-31446 40 days ago |
40-31434 40 days |
| 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 |
64/23 |
Mathlib/Algebra/Group/Basic.lean,Mathlib/Algebra/Group/Defs.lean,Mathlib/FieldTheory/Galois/Basic.lean,Mathlib/GroupTheory/FreeGroup/Basic.lean,Mathlib/GroupTheory/FreeGroup/Reduce.lean,Mathlib/GroupTheory/SpecificGroups/Cyclic/Basic.lean,Mathlib/Logic/Unique.lean |
7 |
3 |
['github-actions', 'vlad902'] |
nobody |
35-56127 1 month ago |
35-59717 35 days ago |
35-59859 35 days |
| 30637 |
strihanje01 author:strihanje01 |
feat(Combinatorics/SetFamily/Lindstrom): Lindstrom's theorem for subfamilies with equal unions |
add Lindstrom's theorem and its strengthening for equal intersections
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|
t-combinatorics
new-contributor
|
211/0 |
Mathlib.lean,Mathlib/Combinatorics/SetFamily/Lindstrom.lean |
2 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
34-80558 1 month ago |
56-47622 56 days ago |
88-10705 88 days |
| 42024 |
NoneMore author:NoneMore |
feat(Data/Set/Card): characterize finite lower bounds on encard |
A set has the cardinality at least `n` if and only if it has a sequence of length `n` with distinct elements.
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AI disclosure: The proof was structurally simplified following the `/lean4:golf` workflow from Lean 4 Skills.
[](https://gitpod.io/from-referrer/)
|
t-data |
16/0 |
Mathlib/Data/Set/Card.lean |
1 |
1 |
['github-actions'] |
nobody |
34-44890 1 month ago |
34-46877 34 days ago |
34-46864 34 days |
| 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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|
t-set-theory |
23/21 |
Mathlib/Order/Cofinal.lean,Mathlib/SetTheory/Cardinal/Aleph.lean |
2 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
33-60090 1 month ago |
33-61819 33 days ago |
34-4100 34 days |
| 41544 |
YaelDillies author:YaelDillies |
refactor(Algebra/Polynomial): make `coeff` return a `Finsupp` |
This matches `AddMonoidAlgebra`.
Change made by myself, build fixed by Claude Opus, with the fixes reviewed by myself again.
Assisted-by: Claude Opus 4.8
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|
t-algebra label:t-algebra$ |
29/23 |
Counterexamples/MapFloor.lean,Mathlib/Algebra/Polynomial/Basic.lean,Mathlib/AlgebraicGeometry/EllipticCurve/DivisionPolynomial/Degree.lean,Mathlib/Data/Nat/Choose/Lucas.lean,Mathlib/LinearAlgebra/Matrix/Charpoly/Coeff.lean,Mathlib/RingTheory/IsAdjoinRoot.lean,Mathlib/RingTheory/Polynomial/Eisenstein/IsIntegral.lean,Mathlib/RingTheory/Polynomial/ScaleRoots.lean,Mathlib/RingTheory/Polynomial/UniversalFactorizationRing.lean,Mathlib/RingTheory/Polynomial/Vieta.lean,Mathlib/RingTheory/PowerSeries/Basic.lean,Mathlib/Tactic/ComputeDegree.lean |
12 |
3 |
['SnirBroshi', 'YaelDillies', 'github-actions'] |
nobody |
33-51728 1 month ago |
43-55907 43 days ago |
43-57729 43 days |
| 39808 |
chenson2018 author:chenson2018 |
chore(Data): refactor proofs where `grind?` fails |
These are sources of technical debt as now reported in the [weekly linting report](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Weekly.20linting.20log/with/544658968). The idea is that a successful `grind` proof can fail to report the theorems it used via `grind?`, which means that if these proofs break across toolchains that it becomes significantly harder to repair.
Most of these are fixed by squeezing the call to `grind` and unsetting `linter.tacticAnalysis.verifyGrindOnly` so they no longer appear in the weekly report. Unfortunately, this can't be on by default for performance reasons, but I highly encourage using this linter when adding any `grind` proofs.
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|
t-data
tech debt
|
69/41 |
Mathlib/Data/Bool/Basic.lean,Mathlib/Data/Bool/Set.lean,Mathlib/Data/EReal/Operations.lean,Mathlib/Data/Fin/Tuple/NatAntidiagonal.lean,Mathlib/Data/Finset/Image.lean,Mathlib/Data/Finset/Powerset.lean,Mathlib/Data/Finset/Range.lean,Mathlib/Data/Finset/SMulAntidiagonal.lean,Mathlib/Data/List/Basic.lean,Mathlib/Data/List/Chain.lean,Mathlib/Data/List/Count.lean,Mathlib/Data/List/Cycle.lean,Mathlib/Data/List/Induction.lean,Mathlib/Data/List/ReduceOption.lean,Mathlib/Data/List/Sigma.lean,Mathlib/Data/List/Sort.lean,Mathlib/Data/List/TakeDrop.lean,Mathlib/Data/List/Triplewise.lean,Mathlib/Data/Option/Basic.lean,Mathlib/Data/Set/Card.lean,Mathlib/Data/Set/Disjoint.lean,Mathlib/Data/Set/Function.lean,Mathlib/Data/Set/Insert.lean,Mathlib/Data/Sum/Order.lean |
24 |
4 |
['Vierkantor', 'chenson2018', 'github-actions'] |
nobody |
33-51270 1 month ago |
93-65899 93 days ago |
93-65886 93 days |
| 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 |
33-41273 1 month ago |
33-79243 33 days ago |
33-79230 33 days |
| 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 |
33-41254 1 month ago |
33-79243 33 days ago |
33-79230 33 days |
| 41457 |
NoahW314 author:NoahW314 |
feat(Algebra/Group/Units/Basic): deduplicate lemmas by generalizing to `IsDedekindFiniteMonoid` |
Generalize a group of lemmas to `IsDedekindFiniteMonoid` which previously had versions for `CommMonoid`, `LeftCancelMonoid`, `RightCancelMonoid`, `CancelMonoid`, and `Ordinal`.
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|
t-algebra
tech debt
label:t-algebra$ |
30/86 |
Mathlib/Algebra/AffineMonoid/Irreducible.lean,Mathlib/Algebra/Group/Units/Basic.lean,Mathlib/AlgebraicTopology/SimplicialSet/Horn.lean,Mathlib/Combinatorics/Enumerative/DyckWord.lean,Mathlib/SetTheory/Ordinal/Arithmetic.lean,Mathlib/SetTheory/Ordinal/Exponential.lean,scripts/nolints_prime_decls.txt |
7 |
4 |
['NoahW314', 'Vierkantor', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
33-37042 1 month ago |
33-37042 33 days ago |
49-77598 49 days |
| 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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|
t-algebra
new-contributor
label:t-algebra$ |
12/0 |
Mathlib/FieldTheory/Finite/Basic.lean |
1 |
5 |
['attilavjda', 'felixpernegger', 'github-actions'] |
nobody |
32-31068 1 month ago |
32-31852 32 days ago |
32-40310 32 days |
| 41525 |
JX-Mo author:JX-Mo |
feat(RepresentationTheory): add Smooth.Basic for smooth representations |
This PR introduces basic setup for smooth representations of a topological group. Hopefully it will serve as preliminary content for those who are interested in formalizing representation theory for p-adic reductive groups in the future. We introduce the following in the file:
1. Define smoothness for representations of a topological group. It is a property for a representation to be smooth: the stabilizer of any vector is open.
2. Prove basic closure properties: subrepresentations, quotient representations, tensor products, direct sums of smooth representations are smooth.
3. Construct smoothHom and contragredient: they are obtained by cutting out smooth vectors from the naive hom and dual.
- [ ] depends on #40941
- [ ] depends on #41081 |
new-contributor
t-algebra
label:t-algebra$ |
345/0 |
Mathlib.lean,Mathlib/RepresentationTheory/Smooth/Basic.lean,Mathlib/RepresentationTheory/Stabilizer.lean,Mathlib/RepresentationTheory/Subrepresentation.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean |
5 |
4 |
['JX-Mo', 'felixpernegger', 'github-actions'] |
nobody |
32-21477 1 month ago |
40-27326 40 days ago |
48-49439 48 days |
| 41081 |
JX-Mo author:JX-Mo |
feat(RepresentationTheory): add Subrepresentation.toRepresentation_apply and Subrepresentation.quotient |
Add a lemma for `Subrepresentation` recording the inherited group action. Help avoid unfolding `Subrepresentation.toRepresentation` when analyzing the action.
Add the `quotient` representation associated to a `Subrepresentation`. It wraps up `Representation.quotient` and `Representation.Subrepresentation` and then we also record the inherited group action.
|
t-algebra
new-contributor
label:t-algebra$ |
26/0 |
Mathlib/RepresentationTheory/Subrepresentation.lean |
1 |
17 |
['JX-Mo', 'Whysoserioushah', 'github-actions'] |
nobody |
32-20060 1 month ago |
45-60285 45 days ago |
61-29841 61 days |
| 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 |
1 |
['github-actions'] |
nobody |
32-5182 1 month ago |
32-8157 32 days ago |
32-8144 32 days |
| 42117 |
plp127 author:plp127 |
feat: locally compact left-uniform group is complete |
Prove that a locally compact left-uniform group is complete. We already have the theorem for right-uniform groups.
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|
t-topology |
28/4 |
Mathlib/Topology/Algebra/IsUniformGroup/Basic.lean |
1 |
7 |
['felixpernegger', 'github-actions', 'leanprover-radar', 'plp127'] |
nobody |
30-84006 30 days ago |
31-14969 31 days ago |
31-14956 31 days |
| 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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|
LLM-generated |
109/0 |
Mathlib.lean,Mathlib/Order/DirectedInverseSystem.lean,Mathlib/SetTheory/Cardinal/DirectLimit.lean |
3 |
2 |
['felixpernegger', 'github-actions'] |
nobody |
30-62110 30 days ago |
30-62962 30 days ago |
30-62949 30 days |
| 42080 |
dkunert author:dkunert |
feat(Algebra/Order/Floor): add fract-absorption lemmas for sums and d… |
Add the four one-sided absorption lemmas for `Int.fract`
* `Int.fract_fract_add : fract (fract a + b) = fract (a + b)`
* `Int.fract_add_fract : fract (a + fract b) = fract (a + b)`
* `Int.fract_fract_sub : fract (fract a - b) = fract (a - b)`
* `Int.fract_sub_fract : fract (a - fract b) = fract (a - b)`
all tagged `@[simp]`, together with the two-sided combinations `Int.fract_fract_add_fract` and `Int.fract_fract_sub_fract` as derived corollaries (not `@[simp]`, since their LHS is already simplified by the one-sided lemmas).
Mathlib currently has the existence form (`Int.fract_add`), the inequalities (`Int.fract_add_le`, `Int.fract_add_fract_le`), and absorption equalities only for integer casts (the `Int.fract_add_intCast` family); the `fract`-absorbing equalities themselves were missing (closest relatives: `Int.fract_fract`, `Int.fract_eq_fract`). With the new `@[simp]` set, goals like `fract (fract x + fract y) = fract (x + y)` now close by `simp` — they did not before.
The one-sided factoring of the add lemmas was suggested by Eric Wieser on [Zulip](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Int.2Efract.20of.20a.20sum.2Fdifference.20reduced.20mod.201); the two-sided add corollary is the lemma his two suggestions "combine to give". The sub analogues and the `@[simp]` tagging follow the same pattern. Naming follows the file's `fract_add_intCast`/`fract_intCast_add` convention.
I used the Anthropic LLMs Opus 4.8 and Fable 5 via Claude Code and made the central design decisions. The LLMs produced all the lemmas and proofs. The four lemmas and the two corollaries are fully proved and break nothing in Mathlib. They conform to the style and simpNF conventions. I take responsibility for this contribution.
--- |
t-algebra
new-contributor
LLM-generated
label:t-algebra$ |
22/0 |
Mathlib/Algebra/Order/Floor/Ring.lean |
1 |
3 |
['dkunert', 'github-actions'] |
nobody |
30-56946 30 days ago |
32-56999 32 days ago |
32-56986 32 days |
| 42132 |
mcdoll author:mcdoll |
feat(Algebra/Module): use `IsApply` for `LieHom` |
No obstacles in this one.
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|
t-algebra label:t-algebra$ |
60/59 |
Mathlib/Algebra/Lie/Basic.lean |
1 |
5 |
['github-actions', 'grunweg', 'leanprover-radar', 'mcdoll'] |
nobody |
30-39304 30 days ago |
30-42432 30 days ago |
30-42419 30 days |
| 42141 |
plp127 author:plp127 |
chore(FieldTheory/Galois/Basic): API for `fixingSubgroupEquiv` and `subgroupEquivAlgEquiv` |
Add lemmas saying what `IntermediateField.fixingSubgroupEquiv` and `IntermediateField.subgroupEquivAlgEquiv` do when applied. Previously there were no lemmas at all mentioning these declarations.
---
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|
t-algebra label:t-algebra$ |
20/0 |
Mathlib/FieldTheory/Galois/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
30-33509 30 days ago |
30-34391 30 days ago |
30-34378 30 days |
| 42140 |
mcdoll author:mcdoll |
feat(LinearAlgebra): use `IsApply` for `AlternatingMap` |
---
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|
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 |
29-84203 29 days ago |
29-84203 29 days ago |
29-84190 29 days |
| 42136 |
mitchell-horner author:mitchell-horner |
feat(Combinatorics/SimpleGraph): API for `labelledCopyCount` |
Add API for `SimpleGraph.labelledCopyCount`.
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|
t-combinatorics |
63/1 |
Mathlib/Combinatorics/SimpleGraph/Copy.lean |
1 |
1 |
['github-actions'] |
nobody |
29-75992 29 days ago |
30-39525 30 days ago |
30-39512 30 days |
| 42153 |
Whysoserioushah author:Whysoserioushah |
feat(LinearAlgebra/Projectivization/PSL): the general case of PSL |
---
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|
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 |
29-72010 29 days ago |
30-22092 30 days ago |
30-22102 30 days |
| 41828 |
archiebrowne author:archiebrowne |
feat(RingTheory/HopfAlgebra/Convolution): add `ofAntipodeOfAdjoin` |
Adds `HopfAlgebra.ofAntipodeOfAdjoin`, which upgrades a bialgebra `A` to a Hopf
algebra given an algebra anti-homomorphism `S : A →ₐ[R] Aᵐᵒᵖ` that satisfies the
two antipode identities *only on a generating set* `X` with `adjoin R X = ⊤`.
Main additions (`Mathlib/RingTheory/HopfAlgebra/Basic.lean`):
* `HopfAlgebra.mul_antipode_rTensor_comul_adjoin_top` /
`HopfAlgebra.mul_antipode_lTensor_comul_adjoin_top`: the antipode axioms hold on
all of `A` when they hold on a generating set.
* `HopfAlgebra.ofAntipodeOfAdjoin`: the resulting `HopfAlgebra R A` structure,
with `antipode := (opLinearEquiv R).symm.toLinearMap ∘ₗ S.toLinearMap`.
Also in (`Mathlib/RingTheory/HopfAlgebra/Convolution.lean`):
* Golf `antipode_mul_id`, `id_mul_antipode`, and `antipode_id_cancel`.
* Add `id_antipode_cancel` (mirror of `antipode_id_cancel`). |
t-ring-theory
new-contributor
|
89/9 |
Mathlib/RingTheory/HopfAlgebra/Convolution.lean |
1 |
2 |
['github-actions'] |
nobody |
29-56999 29 days ago |
41-16877 41 days ago |
41-17906 41 days |
| 42182 |
gasparattila author:gasparattila |
feat(Order/Partition): converting a `Finpartition` into a `Partition` |
---
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|
t-order
large-import
|
60/3 |
Mathlib/Order/Partition/Basic.lean,Mathlib/Order/Partition/Finpartition.lean,Mathlib/Order/SupIndep.lean |
3 |
1 |
['github-actions'] |
nobody |
29-36833 29 days ago |
29-39005 29 days ago |
29-38992 29 days |
| 40416 |
sparckix author:sparckix |
feat(Order/Monotone): add diagonal subsequence extraction |
This PR adds a small diagonal extraction lemma for nested strictly monotone subsequences of `Nat`.
Given strict-mono maps `φ k : Nat -> Nat` such that each `φ (k + 1)` factors through `φ k` by a strict-mono map `τ k`, the diagonal sequence `fun n => φ n n` is strictly monotone and each tail of the diagonal factors through the corresponding `φ k` by a strict-mono map.
The lemma is intended as a reusable sequence/order fact and is placed near `Nat.exists_strictMono_subsequence`.
Local checks run:
```text
lake env lean Mathlib/Order/Monotone/Basic.lean
lake build Mathlib.Order.Monotone.Basic
lake exe lint-style Mathlib/Order/Monotone/Basic.lean
git diff --check
```
AI assistance disclosure: I used AI tools, including Codex and external model feedback, to help extract and review this small lemma from a local formalization project. I have checked the statement and proof myself and am responsible for the submitted code.
|
t-order
new-contributor
LLM-generated
|
66/0 |
Mathlib/Order/Monotone/Basic.lean |
1 |
3 |
['github-actions', 'pepamontero'] |
nobody |
29-31332 29 days ago |
78-26090 78 days ago |
78-26077 78 days |
| 42079 |
JX-Mo author:JX-Mo |
refactor(RepresentationTheory): weaken condition of Schur's lemma |
Replace the condition `[FiniteDimensional k V]` of Schur's lemma by `[FiniteDimensional k (IntertwiningMap ρ ρ)]`. Note that the former will automatically give the latter by typeclass inference.
This has an immediate downstream application: irreducible admissible smooth representations (of e.g. GL2(Qp)) are usually not finite dimensional but the weaker condition`[FiniteDimensional k (IntertwiningMap ρ ρ)]` can be easily deduced from the definition of being "irreducible admissible smooth". |
new-contributor
t-algebra
label:t-algebra$ |
16/14 |
Mathlib/RepresentationTheory/AlgebraRepresentation/Basic.lean,Mathlib/RepresentationTheory/Irreducible.lean |
2 |
6 |
['JX-Mo', 'Whysoserioushah', 'github-actions', 'pepamontero'] |
nobody |
29-31234 29 days ago |
32-69271 32 days ago |
32-69258 32 days |
| 41678 |
JX-Mo author:JX-Mo |
refactor(RepresentationTheory): record the concrete binary biproduct |
Record the concrete binary biproduct explicitly from the instance `HasBinaryBiproducts` to make its _**proof**_ reusable. This strengthens the exposed mathematical statement from "_the biproduct exists_" to "_the biproduct exists and is isomorphic to_ `prod _ _`".
This has an immediate downstream application: to prove that the property of being smooth is stable under product, we need to reconstruct the "product". The current instance `HasBinaryBiproducts` only tells that the product exists and the information about how the product looks like is not directly available, so now we need to reprove that `prod` is a concrete categorical (bi)product. This PR aims to eliminate such future duplicated proofs. |
t-algebra
new-contributor
label:t-algebra$ |
23/7 |
Mathlib/RepresentationTheory/Rep/Basic.lean |
1 |
9 |
['JX-Mo', 'Whysoserioushah', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
28-81953 28 days ago |
28-82585 28 days ago |
44-43062 44 days |
| 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
|
326/0 |
Mathlib.lean,Mathlib/Analysis/Matrix/Inertia.lean,Mathlib/Combinatorics/SimpleGraph/LineGraphSignature.lean |
3 |
2 |
['github-actions'] |
nobody |
28-68791 28 days ago |
29-32862 29 days ago |
29-32849 29 days |
| 42226 |
espottesmith author:espottesmith |
feat(Combinatorics/Hypergraph): add restriction `x ≠ y` to hypergraph vertex and edge adjacency |
---
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- [ ] depends on: #xyz [optional extra text]
-->
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 |
28-53703 28 days ago |
28-54269 28 days ago |
28-54256 28 days |
| 42231 |
mcdoll author:mcdoll |
doc(Analysis/SpecialFunctions): mention junk value for poles of Gaussian hypergeometric function |
The Gaussian hypergeometric function has a pole for `c = -k`, this is currently not mentioned at all in the file.
---
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[](https://gitpod.io/from-referrer/)
|
t-analysis |
6/2 |
Mathlib/Analysis/SpecialFunctions/OrdinaryHypergeometric.lean |
1 |
1 |
['github-actions'] |
nobody |
28-43139 28 days ago |
28-43720 28 days ago |
28-43707 28 days |
| 36275 |
smmercuri author:smmercuri |
feat: norm for the finite adele ring of a number field |
---
- [x] depends on: #35820
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[](https://gitpod.io/from-referrer/)
|
|
151/3 |
Mathlib.lean,Mathlib/NumberTheory/NumberField/AdeleRing.lean,Mathlib/NumberTheory/NumberField/Completion/FinitePlace.lean,Mathlib/NumberTheory/NumberField/FiniteAdeleRing.lean,Mathlib/RingTheory/DedekindDomain/FiniteAdeleRing.lean,Mathlib/Topology/Algebra/Valued/NormedValued.lean |
6 |
5 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
28-22207 28 days ago |
34-36125 34 days ago |
90-54698 90 days |
| 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>
|
|
68/0 |
Mathlib/MeasureTheory/Constructions/BorelSpace/Order.lean,Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean,Mathlib/Topology/Order/LeftRightNhds.lean |
3 |
1 |
['github-actions'] |
nobody |
28-18844 28 days ago |
28-25874 28 days ago |
28-25861 28 days |
| 41916 |
peabrainiac author:peabrainiac |
feat(Topology): add `Homeomorph.Set.iUnion` |
Disjoint unions of families of sets are canonically isomorphic to disjoint unions of the corresponding subtypes, provided each set in the family can be separated from the others with an open neighbourhood.
---
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The equivalence underlying this homeomorphism is already in mathlib as `Set.unionEqSigmaOfDisjoint`. I think that should be renamed to `Equiv.Set.iUnion` for several reasons, but doing so would touch 5 different files, so it's probably cleaner to do that in a separate PR.
[](https://gitpod.io/from-referrer/)
|
t-topology |
35/0 |
Mathlib/Topology/Homeomorph/Lemmas.lean |
1 |
7 |
['felixpernegger', 'github-actions'] |
nobody |
27-84626 27 days ago |
38-70655 38 days ago |
38-70642 38 days |
| 41619 |
JovanGerb author:JovanGerb |
fix(Order/Notation): unify at correct transparency in sup/inf delaborators |
This PR fixes the `sup`/`inf` delaborators to use the correct transparency when unifying instances.
I discovered this problem when using `#click_suggestions`. It has the funny property of delaborating at the reducible transparency level instead of default (which usually doesn't affect delaboration, but in this case does)
Note: we may delay this PR until the next Lean version, since it splits this transparency level. The one we will then need is the implicit transparency.
---
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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-order |
4/4 |
Mathlib/Order/Notation.lean |
1 |
1 |
['github-actions'] |
nobody |
27-77786 27 days ago |
46-33347 46 days ago |
46-33334 46 days |
| 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 |
27-72097 27 days ago |
27-73862 27 days ago |
38-68317 38 days |
| 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 |
27-30392 27 days ago |
28-58200 28 days ago |
28-58187 28 days |
| 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 |
27-30366 27 days ago |
28-57138 28 days ago |
28-60333 28 days |
| 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 |
27-30366 27 days ago |
29-7769 29 days ago |
29-8580 29 days |
| 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 |
27-30359 27 days ago |
29-50284 29 days ago |
29-50271 29 days |
| 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
|
23/3 |
Mathlib/FieldTheory/Galois/Basic.lean,Mathlib/RingTheory/Ideal/Norm/RelNorm.lean,Mathlib/RingTheory/NormalClosure.lean |
3 |
15 |
['felixpernegger', 'github-actions', 'leanprover-radar', 'vaca22', 'xroblot'] |
nobody |
26-55305 26 days ago |
35-18336 35 days ago |
40-27233 40 days |
| 41991 |
dahlem author:dahlem |
fix(Analysis/Matrix): anchor the elementwise matrix norm's topology to instTopologicalSpaceMatrix |
With `open scoped Matrix.Norms.Elementwise`,
```lean
noncomputable example {m n : Type*} [Fintype m] [Fintype n] :
Norm (Matrix m n ℝ →L[ℝ] Matrix m n ℝ) := inferInstance
```
fails to synthesize, even though the norm-induced topology on `Matrix m n ℝ` is definitionally equal to the ambient `instTopologicalSpaceMatrix` (`rfl` proves the equality).
What goes wrong: the `→L[ℝ]` type is elaborated with the *direct* instance `instTopologicalSpaceMatrix`, while `ContinuousLinearMap.hasOpNorm`'s conclusion carries topologies that are *projections* of its `SeminormedAddCommGroup` arguments. During resolution, pending synthesis does find `Matrix.seminormedAddCommGroup`, but the projected topology then has to unify with `instTopologicalSpaceMatrix`, and the projection chain through `fast_instance% Pi.seminormedAddCommGroup` does not reduce to the same term. (Types like `ℝ` or `EuclideanSpace` don't hit this because they have no direct `TopologicalSpace` instance competing with the projection path — matrices do.)
**Fix**: anchor the topology field of `Matrix.seminormedAddCommGroup` / `Matrix.normedAddCommGroup` to `instTopologicalSpaceMatrix` via `PseudoMetricSpace.replaceTopology` / `MetricSpace.replaceTopology` with `rfl` proofs — the standard forgetful-inheritance pattern; the Frobenius family in the same file already achieves this through `PiLp.seminormedAddCommGroupToPi`. Anchoring to a freshly-elaborated `inferInstanceAs <| TopologicalSpace (m → n → α)` is *not* sufficient — the anchor must be the same instance term that appears in elaborated goal types, which is why this also adds `public import Mathlib.Topology.Instances.Matrix` (no cycle; that file only imports `LinearAlgebra.Matrix.*` and `Topology.Algebra.*`).
`norm`, `dist`, and the uniformity are untouched — only the packaging of the topology field changes, in the direction of the canonical instance. The fix works at Lean's default `maxSynthPendingDepth`. It also unblocks smul-continuity resolution in Fréchet-derivative developments over matrix codomains (`HasFDerivAt.const_smul` sites), where the goal's topology argument is the same non-reducing projection.
Motivation: hit in a downstream project (~4300 build jobs of matrix-valued Fréchet calculus) where ten files currently need local high-priority compat instances to work around this. A downstream repair cannot be shipped safely: boosting a repaired `SeminormedAddCommGroup`'s priority steals `‖·‖` resolution from files mixing norm scopes (e.g. `Matrix.Norms.L2Operator` sections of a Davis–Kahan development silently re-resolve to the elementwise norm). The fix has to live in the instance definitions.
Validation: full `lake build Mathlib` passes with the change (8666 jobs), plus new regression tests in `MathlibTest/MatrixNormTopology.lean` (both `rfl` agreements, the `Norm` synthesis above, `‖f‖` usage, `ContinuousConstSMul` unification).
Open questions for reviewers:
- Should the `linftyOp*` family get the same anchor for uniformity of design?
- Is `letI I := fast_instance% …; { I with … }` the preferred spelling here?
- Is the added import acceptable, or should the anchored instances move to a file that already sees `Topology.Instances.Matrix`?
Disclosure: this PR was prepared with AI assistance (Claude); the diagnosis and fix were validated by the full mathlib build and the included regression tests.
🤖 Generated with [Claude Code](https://claude.com/claude-code)
|
t-analysis
new-contributor
LLM-generated
|
60/4 |
Mathlib/Analysis/Matrix/Normed.lean,MathlibTest/MatrixNormTopology.lean |
2 |
2 |
['github-actions'] |
nobody |
26-35995 26 days ago |
36-13479 36 days ago |
36-13466 36 days |
| 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 |
4/1 |
Mathlib/Order/Birkhoff.lean,Mathlib/Order/UpperLower/CompleteLattice.lean |
2 |
1 |
['github-actions'] |
nobody |
26-11031 26 days ago |
26-12806 26 days ago |
26-14003 26 days |
| 41869 |
FawadHa1der author:FawadHa1der |
perf(FieldTheory/RatFunc/Valuation): explicit proof instead of aesop |
A little longer explicit proof but may be bench will show it could be worth it. |
new-contributor
t-algebra
will-close-soon
label:t-algebra$ |
8/2 |
Mathlib/FieldTheory/RatFunc/Valuation.lean |
1 |
8 |
['FawadHa1der', 'github-actions', 'grunweg', 'leanprover-radar'] |
nobody |
26-7997 26 days ago |
26-7997 26 days ago |
26-10879 26 days |
| 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
large-import
|
99/24 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/CycleGraph.lean,Mathlib/Combinatorics/SimpleGraph/Hasse.lean,Mathlib/Data/Fintype/Defs.lean |
4 |
23 |
['Formalistic03', 'SnirBroshi', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
26-5953 26 days ago |
26-9053 26 days ago |
64-82371 64 days |
| 41378 |
tb65536 author:tb65536 |
chore(RingTheory/QuasiFinite/Basic): extract instance from ramification proof |
This PR extracts an instance from the proof of `Ideal.ramificationIdx_pos`. This is a prerequisite for #41377.
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|
t-ring-theory
t-algebra
label:t-algebra$ |
13/7 |
Mathlib/RingTheory/QuasiFinite/Basic.lean,Mathlib/RingTheory/RamificationInertia/Ramification.lean |
2 |
1 |
['github-actions'] |
nobody |
26-2585 26 days ago |
52-78780 52 days ago |
52-78768 52 days |
| 42093 |
DrDMT-VR author:DrDMT-VR |
feat(Topology/Algebra/Ring): topological closure of a two-sided ideal |
Defines `TwoSidedIdeal.closure`, the topological closure of a two-sided ideal in a
topological ring, together with its basic API. This mirrors the existing one-sided
`Ideal.closure` (`Mathlib/Topology/Algebra/Ring/Ideal.lean`), but is stated in the
generality of non-unital non-associative topological rings (`IsTopologicalRing` over
`NonUnitalNonAssocRing`), where one-sided ideals are unavailable.
New declarations (namespace `TwoSidedIdeal`): `closure`, `coe_closure`,
`mem_closure_iff`, `le_closure`, `closure_mono`, `closure_minimal`, `isClosed_closure`,
`closure_eq_of_isClosed`, `closure_closure`, `closure_top`, and `closure_ne_top` (in a
unital ring whose units are open, e.g. a Banach algebra via `Units.isOpen`, the closure of
a proper two-sided ideal is proper).
Mathlib has no topological-closure API for `TwoSidedIdeal`. Closed two-sided ideals are
the basic objects of C*-algebra ideal theory, and `closure_ne_top` is the standard first
step toward "maximal two-sided ideals are closed".
------
- should the definition be called `topologicalClosure` instead? (The current name matches `Ideal.closure`.)
- Claude was utilized throughout the project. It helped with coding, syntax and running repetitive testing.
|
t-topology
new-contributor
LLM-generated
|
114/0 |
Mathlib.lean,Mathlib/Topology/Algebra/Ring/TwoSidedIdeal.lean |
2 |
5 |
['FractalDevTeam', 'github-actions', 'grunweg'] |
nobody |
26-742 26 days ago |
26-22972 26 days ago |
31-86384 31 days |
| 42317 |
plp127 author:plp127 |
chore(Topology/Separation): generalize theorems on `IndiscreteTopology` |
Generalize some theorems on `IndiscreteTopology` from `EMetricSpace` to `T0Space`. Also move `subsingleton_iff_discrete_and_indiscrete` to an earlier file because it has an easier proof.
---
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|
t-topology |
27/16 |
Mathlib/Topology/EMetricSpace/Basic.lean,Mathlib/Topology/Separation/Basic.lean,Mathlib/Topology/Separation/Connected.lean |
3 |
13 |
['felixpernegger', 'github-actions', 'leanprover-radar', 'plp127'] |
nobody |
25-73904 25 days ago |
25-80920 25 days ago |
25-80907 25 days |
| 42312 |
sfingali author:sfingali |
feat(Topology): huber (f-adic) rings |
### Summary
Defines Huber (f-adic) rings: topological rings admitting an open subring whose
subspace topology is the `I`-adic topology for a finitely generated ideal `I`
(Wedhorn, *Adic Spaces*, arXiv:1910.05934, Prop. and Def. 6.1, p. 46).
* `HuberRing.RingOfDefinition` — the pair of definition `(A₀, I)`: an open subring
`A₀ ⊆ A` with `IsAdic I` for a finitely generated ideal `I` of `A₀` (data).
* `HuberRing.IsHuberRing` — a topological ring admitting a ring of definition
(property).
* `HuberRing.ringOfDefinition_iff_open_adic` — Wedhorn, Lemma 6.2 (a) ↔ (b), p. 46:
a subring is a ring of definition iff it is open and adic.
This is the first step of a planned adic/perfectoid pipeline (Huber rings →
Huber pairs → continuous valuations → Spa → perfectoid fields → tilting), following
the design of the Lean 3 `lean-perfectoid-spaces` project (ring of definition as
data, Huber ring as a property). Follow-ups (depending on #40013's boundedness):
Lemma 6.2 (c) (ring of definition ⟺ open + bounded) and Cor. 6.4(3) (the
power-bounded elements form a subring, the union of all rings of definition).
### References
* T. Wedhorn, *Adic Spaces*, arXiv:1910.05934, Prop. and Def. 6.1, Lemma 6.2,
Cor. 6.4 (pp. 46–47).
|
t-topology
new-contributor
|
84/0 |
Mathlib.lean,Mathlib/Topology/Algebra/Nonarchimedean/HuberRing.lean |
2 |
3 |
['github-actions'] |
nobody |
25-55783 25 days ago |
25-86246 25 days ago |
26-502 26 days |
| 41073 |
vlad902 author:vlad902 |
feat(RingTheory): characterizing lemma for rings of infinite Krull dimension |
Show that the Krull dimension of a ring R is infinite if and only if it has ideals of unbounded height.
---
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|
t-ring-theory |
17/0 |
Mathlib/RingTheory/Ideal/Height.lean |
1 |
1 |
['github-actions'] |
nobody |
25-47420 25 days ago |
61-41482 61 days ago |
61-42397 61 days |
| 38214 |
emlis42 author:emlis42 |
feat(Algebra/ContinuedFractions): add Euler's continued fraction |
This PR formalizes Euler continued fractions by providing `euler` which construct one by giving head term and coefficients with some basic property.
We also introduce a transformation `GenContFract.toEuler` that maps a generalized continued fraction `g : GenContFract K` to an equivalent Euler continued fraction. |
new-contributor
t-algebra
maintainer-merge
label:t-algebra$ |
364/0 |
Mathlib.lean,Mathlib/Algebra/ContinuedFractions/Euler.lean |
2 |
74 |
['YaelDillies', 'emlis42', 'github-actions', 'mathlib-bors', 'wwylele'] |
nobody |
25-17902 25 days ago |
25-18461 25 days ago |
112-73341 112 days |
| 41388 |
emlis42 author:emlis42 |
feat(Data/Set): add mono of right inv |
This PR adds some theorems about monotonicity of right inverse of some map.
This is mainly for discoverability and includes a strict version of `monotoneOn_of_rightInvOn_of_mapsTo` i.e `strictMonoOn_of_rightInvOn_of_mapsTo`.
Discussed here: [Lemmas about `StrictMono`/`Monotone` maps with right inverse](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Lemmas.20about.20.60StrictMono.60.2F.60Monotone.60.20maps.20with.20right.20inverse) |
t-data |
36/3 |
Mathlib/Data/Set/Monotone.lean |
1 |
3 |
['emlis42', 'felixpernegger', 'github-actions', 'themathqueen'] |
nobody |
25-13886 25 days ago |
52-19443 52 days ago |
52-19430 52 days |
| 42345 |
TomOleDiem author:TomOleDiem |
feat(Analysis/Normed/Algebra): characterize continuous one-parameter subgroups |
This PR proves that every continuous one-parameter subgroup of the unit group of a real Banach algebra has a unique exponential generator.
The theorem applies to any function-like type from `Multiplicative ℝ` to `Eˣ` carrying `MonoidHomClass` and `ContinuousMapClass` instances.
The proof first derives differentiability from an invertible local average. It then identifies the subgroup with the exponential of its derivative at zero and proves uniqueness by differentiation at zero.
The new module builds successfully and passes `lint-style`.
Substantial AI assistance was used to develop and review this formalization. |
t-analysis
new-contributor
LLM-generated
|
248/0 |
Mathlib.lean,Mathlib/Analysis/Normed/Algebra/OneParameterSubgroup.lean |
2 |
3 |
['TomOleDiem', 'github-actions'] |
nobody |
25-13682 25 days ago |
25-13682 25 days ago |
25-13669 25 days |
| 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 |
25-30 25 days ago |
30-34619 30 days ago |
30-59334 30 days |
| 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 |
24-82129 24 days ago |
24-82825 24 days ago |
24-82812 24 days |
| 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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|
t-combinatorics |
70/3 |
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 |
24-80553 24 days ago |
46-11191 46 days ago |
71-46339 71 days |
| 42370 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Maps): more `map`/`comap` API |
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|
t-combinatorics |
120/12 |
Mathlib/Combinatorics/SimpleGraph/Maps.lean |
1 |
1 |
['github-actions'] |
nobody |
24-31606 24 days ago |
24-32468 24 days ago |
24-32559 24 days |
| 42137 |
mitchell-horner author:mitchell-horner |
feat(Combinatorics/SimpleGraph): bounds for `extremalNumber` and `turanDensity` |
Add bounds for `extremalNumber` and `turanDensity`.
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|
t-combinatorics |
37/0 |
Mathlib/Combinatorics/SimpleGraph/Extremal/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Extremal/TuranDensity.lean |
2 |
6 |
['SnirBroshi', 'b-mehta', 'github-actions', 'mitchell-horner'] |
nobody |
23-61174 23 days ago |
30-39336 30 days ago |
30-39323 30 days |
| 33369 |
Thmoas-Guan author:Thmoas-Guan |
feat(Homology): `Ext` commute with flat base change |
In this PR, using the linear map `Ext(M,N) => Ext(F(M), F(N))` when `F` is exact functor, we prove that `Ext` commute with flat base change if the ring is noetherian and two modules are finitely generated, stated using `IsBaseChange`.
---
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[](https://gitpod.io/from-referrer/)
|
t-topology |
383/0 |
Mathlib.lean,Mathlib/Algebra/Category/ModuleCat/Ext/BaseChange.lean |
2 |
7 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
nobody |
23-44660 23 days ago |
23-45178 23 days ago |
23-63520 23 days |
| 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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|
t-ring-theory
LLM-generated
new-contributor
|
20/0 |
Mathlib/RingTheory/IntegralClosure/IsIntegralClosure/Basic.lean |
1 |
10 |
['SnirBroshi', 'github-actions', 'stalex444'] |
nobody |
23-41013 23 days ago |
40-17301 40 days ago |
40-17288 40 days |
| 26214 |
Thmoas-Guan author:Thmoas-Guan |
feat(Algebra): definition of depth |
In this PR, we defined the depth of two modules as the minimal order of nonvanishing `Ext` and the `I-depth` for ideal `I` and some basic properties. Including the equivalence of the two in the condition of rees theorem.
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|
t-algebra label:t-algebra$ |
410/0 |
Mathlib.lean,Mathlib/RingTheory/Depth/Basic.lean |
2 |
11 |
['Thmoas-Guan', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
nobody |
23-35137 23 days ago |
39-50858 39 days ago |
52-47334 52 days |
| 41632 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Trails): the support of an Eulerian trail equals the support of the graph |
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|
t-combinatorics |
32/0 |
Mathlib/Combinatorics/SimpleGraph/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Trails.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Basic.lean |
3 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
23-29892 23 days ago |
23-30458 23 days ago |
45-36435 45 days |
| 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 |
23-28969 23 days ago |
34-63529 34 days ago |
34-66090 34 days |
| 39905 |
plp127 author:plp127 |
chore(Order/CompleteBooleanAlgebra): dualize `symmDiff` theorems |
Dualize some `symmDiff` theorems, and also generalize them from `CompleteBooleanAlgebra` to `Order.Coframe`.
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|
t-order |
76/39 |
Mathlib/Order/CompleteBooleanAlgebra.lean |
1 |
4 |
['JovanGerb', 'github-actions', 'plp127', 'vihdzp'] |
nobody |
23-22753 23 days ago |
91-79520 91 days ago |
91-79507 91 days |
| 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 |
1 |
['github-actions'] |
nobody |
23-21287 23 days ago |
23-34533 23 days ago |
23-34520 23 days |
| 42411 |
SnirBroshi author:SnirBroshi |
feat(ModEq): `IsEquiv` instance |
`IsEquiv` for `Nat.ModEq`/`Int.ModEq`/`SModEq`
---
The deleted instances are synthesizable from the new ones.
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|
t-algebra label:t-algebra$ |
12/15 |
Mathlib/Data/Int/ModEq.lean,Mathlib/Data/Nat/ModEq.lean,Mathlib/LinearAlgebra/SModEq/Basic.lean |
3 |
1 |
['github-actions'] |
nobody |
23-10974 23 days ago |
23-13042 23 days ago |
23-13029 23 days |
| 42413 |
SnirBroshi author:SnirBroshi |
feat(Order/Cover): `CovBy` is asymmetric and `WCovBy` is antisymmetric |
---
The deleted instances are synthesizable from the new ones.
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[](https://gitpod.io/from-referrer/)
|
t-order |
10/5 |
Mathlib/Order/Cover.lean |
1 |
1 |
['github-actions'] |
nobody |
22-79944 22 days ago |
23-11257 23 days ago |
23-11244 23 days |
| 42352 |
sankalpsthakur author:sankalpsthakur |
feat(RingTheory): coprimality of a sum and difference |
Adds `Int.isCoprime_add_sub`: if `m, n` are coprime and `m + n` is odd (equivalently, `m, n` have opposite parity), then `m + n` and `m - n` are coprime.
Motivated by #37366.
### Validation
Built locally: `lake build Mathlib.RingTheory.Int.Basic` — succeeds.
Closes #37366
### 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
|
9/0 |
Mathlib/RingTheory/Int/Basic.lean |
1 |
4 |
['SnirBroshi', 'github-actions', 'sankalpsthakur'] |
nobody |
22-76028 22 days ago |
24-86204 24 days ago |
24-86191 24 days |
| 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 |
22-70826 22 days ago |
23-80412 23 days ago |
23-80399 23 days |
| 41120 |
teorth author:teorth |
feat(Analysis/SpecialFunctions/Gamma/Deriv,NumberTheory/Harmonic/GammaDeriv): formulae for the derivative of Gamma / eulerMascheroni |
Some integral representations of the derivative of the Gamma function, or the Euler-Mascheroni constant, focusing on the real form of the Gamma function rather than the complex one (as formulae for the latter are already present).
---
The initial code was human generated; an AI agent was used to help proofread and refactor the code subsequently.
- [x] depends on: #41119
-->
[](https://gitpod.io/from-referrer/)
|
new-contributor |
91/7 |
Mathlib/Analysis/SpecialFunctions/Gamma/Deriv.lean,Mathlib/Analysis/SpecialFunctions/Pow/Real.lean,Mathlib/NumberTheory/Harmonic/GammaDeriv.lean |
3 |
27 |
['felixpernegger', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'teorth'] |
nobody |
22-22308 22 days ago |
22-23513 22 days ago |
41-5501 41 days |
| 42446 |
ipezygj author:ipezygj |
feat(Algebra/Order/Ring/Pow): bernoulli's inequality for a subtracted term |
Adds `one_sub_mul_le_pow`, the mirror of `one_add_mul_le_pow`:
```lean
lemma one_sub_mul_le_pow (H : a ≤ 2) (n : ℕ) : 1 - n * a ≤ (1 - a) ^ n
```
`Mathlib/Algebra/Order/Ring/Pow.lean` already carries Bernoulli in the `1 + a` form
and one reformulation of it (`one_add_mul_sub_le_pow`); this is the `1 - a` form,
which is the shape that comes up when bounding a product of complements — for
example showing that `1 - (1 - p) ^ n ≤ n * p`, the comparison between the Šidák and
Bonferroni corrections in statistics, which follows immediately by `linarith`.
The hypothesis `a ≤ 2` is exactly what `one_add_mul_le_pow`'s `-2 ≤ -a` becomes, and
it is load-bearing rather than decorative: the inequality fails for `a > 2` (checked
numerically over a grid before writing the proof).
Proof is two lines and reduces directly to the existing lemma.
This is my first contribution to mathlib, so please do point out anything that does
not match the library's conventions.
---
[Blueprint] not applicable.
|
t-algebra
new-contributor
label:t-algebra$ |
6/0 |
Mathlib/Algebra/Order/Ring/Pow.lean |
1 |
3 |
['github-actions'] |
nobody |
22-19896 22 days ago |
22-22896 22 days ago |
22-22883 22 days |
| 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$ |
71/45 |
Mathlib/Algebra/CharP/Two.lean |
1 |
3 |
['github-actions', 'mortarsanjaya', 'vihdzp'] |
nobody |
21-84314 21 days ago |
22-22958 22 days ago |
24-84902 24 days |
| 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
|
60/1 |
Mathlib/Data/List/PeriodicityLemma.lean |
1 |
8 |
['SnirBroshi', 'github-actions', 'theebayuser'] |
nobody |
21-81152 21 days ago |
39-58719 39 days ago |
39-58706 39 days |
| 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
|
44/3 |
Mathlib/Data/List/Infix.lean |
1 |
3 |
['github-actions', 'theebayuser'] |
nobody |
21-78875 21 days ago |
38-71934 38 days ago |
38-71921 38 days |
| 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
t-combinatorics
new-contributor
|
64/0 |
Mathlib/Data/Finset/Image.lean,Mathlib/Order/Partition/Finpartition.lean |
2 |
4 |
['github-actions', 'lydia-schiff'] |
nobody |
21-76020 21 days ago |
21-78829 21 days ago |
21-84212 21 days |
| 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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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
297/30 |
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 |
14 |
['ChiCubed', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts', 'themathqueen'] |
ocfnash assignee:ocfnash |
21-73789 21 days ago |
21-76341 21 days ago |
73-43705 73 days |
| 42466 |
xroblot author:xroblot |
feat(LinearAlgebra): unimodular elements and completion to a basis |
Add a new file `Mathlib/LinearAlgebra/Unimodular.lean` about unimodular
elements of a module (those on which some linear functional takes the value
`1`).
Main results:
* `Module.Basis.span_repr_eq_top_iff`: `v` is unimodular iff its coordinates in
a basis generate the unit ideal;
* `Module.Free.exists_basis_apply_zero_eq`: a unimodular vector of a rank-two
free module completes to a basis;
* `Module.Basis.span_repr_one_eq_top` / `Module.Free.exists_linearMap_apply_one_eq_one`:
`1` is unimodular in a nonzero free algebra.
Some of the mathematics and proofs in this file were developed with the help of Claude 🤖.
|
t-algebra label:t-algebra$ |
134/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Unimodular.lean,docs/references.bib |
3 |
1 |
['github-actions'] |
nobody |
21-67604 21 days ago |
21-68170 21 days ago |
21-68305 21 days |
| 42467 |
yuanyi-350 author:yuanyi-350 |
feat(Topology/Homotopy): show covering maps are surjective on path components |
|
t-topology |
12/0 |
Mathlib/Topology/Homotopy/Lifting.lean |
1 |
1 |
['github-actions'] |
nobody |
21-63195 21 days ago |
21-63812 21 days ago |
21-63799 21 days |
| 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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[](https://gitpod.io/from-referrer/)
|
t-group-theory
large-import
|
41/40 |
Mathlib/GroupTheory/Exponent.lean,Mathlib/GroupTheory/PGroup.lean |
2 |
3 |
['SnirBroshi', 'github-actions', 'tb65536'] |
nobody |
21-54977 21 days ago |
21-54980 21 days ago |
21-56150 21 days |
| 40963 |
Formalistic03 author:Formalistic03 |
feat(Combinatorics/SimpleGraph/Paths): add lemma about the first dart if dropLast is a path |
If `dropLast` of a walk is a path, a dart of the walk sharing its first vertex with the walk also shares its second vertex.
I thought this was a natural more general form of `IsPath.eq_snd_of_mem_edges`, useful for cycles for example.
---
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
15/0 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Operations.lean |
2 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
21-18024 21 days ago |
21-18642 21 days ago |
63-38324 63 days |
| 40473 |
karlesmarin author:karlesmarin |
feat(LinearAlgebra/Matrix): the Cauchy-Binet formula |
Adds the Cauchy–Binet formula. For `A : Matrix m n R` and `B : Matrix n m R` over a commutative ring, `det (A * B)` is the sum, over the `Fintype.card m`-element subsets `S` of `n`, of the product of the two maximal minors selected by `S`.
Main results:
* `Matrix.det_mul_eq_sum_det_submatrix_mul_prod` — the Leibniz-type expansion of `det (A * B)` over all index functions `g : m → n`.
* `Matrix.det_mul_cauchyBinet` — the Cauchy–Binet formula.
The proof expands over all `g : m → n`, discards the non-injective ones, and groups the rest by image.
|
|
212/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Matrix/Determinant/CauchyBinet.lean |
2 |
7 |
['github-actions', 'karlesmarin', 'mathlib-merge-conflicts', 'wwylele', 'yuanyi-350'] |
nobody |
21-5735 21 days ago |
21-6333 21 days ago |
66-10114 66 days |
| 38009 |
CBirkbeck author:CBirkbeck |
feat(RingTheory/Valuation): define the valuation spectrum and its topology |
## Summary
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.
|
t-ring-theory
LLM-generated
|
400/0 |
Mathlib.lean,Mathlib/RingTheory/Valuation/ValuationSpectrum.lean,Mathlib/RingTheory/Valuation/ValuativeRel/Comap.lean |
3 |
73 |
['CBirkbeck', 'adamtopaz', 'chrisflav', 'dagurtomas', 'faenuccio', 'github-actions', 'jjdishere', 'riccardobrasca', 'sfingali'] |
jjdishere assignee:jjdishere |
20-81440 20 days ago |
44-54884 44 days ago |
129-28582 129 days |
| 39588 |
jvanwinden author:jvanwinden |
feat(MeasureTheory/Measure/ProbabilityMeasure): add toProbabilityMeasure and basic API |
Introduces `Measure.toProbabilityMeasure`, which converts a `Measure` into a `ProbabilityMeasure` in the presence of the typeclass assumption `[IsProbabilityMeasure]`. Some basic API is added for the interaction between `toProbabilityMeasure` and the coercion from `ProbabilityMeasure` to `Measure`. The main convenience is that the new method allows for dot notation on `Measure`.
This PR arose from the following situation: I needed to prove equality of two `Measure` objects, and I wanted to do this by using uniqueness of limits. But the topology of weak convergence is only defined on `ProbabilityMeasure` and not on `Measure`. With the new lemma `toProbabilityMeasure_inj`, an equality of measures can easily be rewritten into an equality of the corresponding probability measures, after which `tendsto_nhds_unique` can be applied.
Aside from this, `toProbabilityMeasure` has the potential to simplify theorem statements about `Measure` objects which use the topology of weak convergence either in the assumptions or the conclusion. For example, now one can simply write `Tendsto μ.toProbabilityMeasure f (nhds μ_lim.toProbabilityMeasure)` when appropriate `[IsProbabilityMeasure]` assumptions are present.
This PR is intended as a starting point for a discussion. I only added some basic API, but perhaps more lemmas should be added (which ones?). Also, a similar definition could be made for `FiniteMeasure`.
---
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|
t-measure-probability |
20/2 |
Mathlib/MeasureTheory/Measure/ProbabilityMeasure.lean |
1 |
2 |
['EtienneC30', 'github-actions'] |
RemyDegenne assignee:RemyDegenne |
20-81439 20 days ago |
99-15137 99 days ago |
99-15124 99 days |
| 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$ |
50/0 |
Mathlib/Algebra/BigOperators/Group/Finset/Powerset.lean |
1 |
3 |
['bocowgill', 'github-actions'] |
nobody |
20-36958 20 days ago |
20-36958 20 days ago |
20-36945 20 days |
| 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
|
290/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/ComputablePolynomial/DvdCert.lean,MathlibTest/ComputablePolynomial/PolyDvdCert.lean |
4 |
5 |
['JovanGerb', 'github-actions', 'mkaratarakis'] |
kim-em assignee:kim-em |
20-13146 20 days ago |
20-46699 20 days ago |
51-83965 51 days |
| 42499 |
attilavjda author:attilavjda |
doc(Data/ENat,ENNReal): fix swapped docstring on mul_iInf_of_ne |
Fixed left from right multiplication and "see-also" to point at mul_iInf
[Aristotle helped](https://github.com/attilavjda/formal-contributions/blob/main/mul_iInf_of_ne/PR3.lean) with finding the error, generating and verifying a solution by tests, and made a guide to the solution.
---
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t-data
new-contributor
|
5/5 |
Mathlib/Data/ENNReal/Inv.lean,Mathlib/Data/ENat/Lattice.lean |
2 |
3 |
['github-actions'] |
nobody |
20-12650 20 days ago |
20-32211 20 days ago |
20-32198 20 days |
| 41902 |
Ljon4ik4 author:Ljon4ik4 |
feat: sum of derivations lemmas |
This PR adds Lemmas showing that derivations are well-behaved with sums.
In order to prove one of them an additive map version of `coe : Derivation R A M → A →ₗ[R] M` is also added.
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t-ring-theory |
17/0 |
Mathlib/RingTheory/Derivation/Basic.lean |
1 |
8 |
['Ljon4ik4', 'github-actions', 'mathlib-bors', 'wwylele'] |
nobody |
20-3550 20 days ago |
39-15577 39 days ago |
39-15570 39 days |
| 42357 |
SynBurz author:SynBurz |
feat: the Krull dimension of the product of finitely many rings is equal to the maximum of Krull dimensions of the factors |
Add `ringKrullDim_pi_eq_iSup_ringKrullDim`. Also add useful defs: `LTSeries.sigmaEquiv`, `PrimeSpectrum.sigmaToPiOrderIso`, and lemmas `PrimeSpectrum.sigmaToPiOrderIso_apply`, Pi.not_comap_evalRingHom_le_comap_of_neq`, `LTSeries.sigma_fst_eq_fst`.
---
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|
new-contributor |
93/0 |
Mathlib/Order/RelSeries.lean,Mathlib/RingTheory/Ideal/Maps.lean,Mathlib/RingTheory/Spectrum/Prime/Topology.lean |
3 |
5 |
['SynBurz', 'github-actions', 'wwylele'] |
nobody |
20-3340 20 days ago |
24-80372 24 days ago |
24-80762 24 days |
| 39709 |
justus-springer author:justus-springer |
feat(RingTheory/): `MvPolynomial` is standard smooth |
Add the trivial submersive presentation for `MvPolynomial` and show that `MvPolynomial` is standard smooth over its base ring. This will be used to show that affine space is smooth in #39710.
- [x] depends on: #39708
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|
t-ring-theory |
47/0 |
Mathlib/RingTheory/Extension/Presentation/Basic.lean,Mathlib/RingTheory/Extension/Presentation/Submersive.lean,Mathlib/RingTheory/Smooth/StandardSmooth.lean |
3 |
4 |
['faenuccio', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
alreadydone assignee:alreadydone |
19-81457 19 days ago |
67-26093 67 days ago |
92-18535 92 days |
| 39870 |
YaelDillies author:YaelDillies |
feat(Data): interleaving lists |
Define interleaving of lists as a relation.
This will be used to define interleaving polynomials, which in turn are a central concept in the line of work that earned June Huh his 2022 Fields medal.
From RealRooted
---
Interleaving of lists as an operation was merged in https://github.com/leanprover-community/batteries/pull/1853.
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|
t-data |
137/0 |
Mathlib.lean,Mathlib/Data/List/Interleave.lean |
2 |
21 |
['YaelDillies', 'chenson2018', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts', 'ocfnash'] |
TwoFX assignee:TwoFX |
19-81457 19 days ago |
54-30338 54 days ago |
91-85282 91 days |
| 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
|
118/11 |
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 |
10 |
['felixpernegger', 'github-actions', 'khwilson', 'mcdoll', 'scholzhannah'] |
mcdoll assignee:mcdoll |
19-62896 19 days ago |
21-10128 21 days ago |
61-1096 61 days |
| 42520 |
mo271 author:mo271 |
refactor(Data/Finset/Sups): rename `powerset_union/inter` |
... to `powerset_sups/infs`
Rename `Finset.powerset_union` to `Finset.powerset_sups` and `Finset.powerset_inter` to `Finset.powerset_infs` to reflect that they compute pointwise operations `⊻` and `⊼`.
Add deprecation aliases.
A follow-up (#42521) will add `Finset.powerset_inter` back (with a different meaning).
---
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|
t-data |
13/8 |
Mathlib/Data/Finset/Sups.lean |
1 |
2 |
['github-actions'] |
nobody |
19-54090 19 days ago |
19-56670 19 days ago |
19-56657 19 days |
| 42509 |
attilavjda author:attilavjda |
chore(Analysis/Normed/Lp/PiLp): fix stale docstring cross-references |
The docstrings of `PiLp.nnnorm_toLp_const` and `PiLp.norm_toLp_const'` still referred to
`PiLp.nnnorm_equiv_symm_const'` and `PiLp.norm_equiv_symm_const`, which no longer exist after
the `equiv_symm` -> `toLp` rename. Also fix a line wrap that split a sentence with a stray
full stop.
[Found the errors with Aristotle, it generated, verified, and made guides to the solution](https://github.com/attilavjda/formal-contributions/blob/main/analysis-pilp-docstrings/RequestProject/PiLpConstNorm.lean)
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|
3/5 |
Mathlib/Analysis/Normed/Lp/PiLp.lean |
1 |
1 |
['github-actions'] |
nobody |
19-48301 19 days ago |
20-10962 20 days ago |
20-10949 20 days |
| 41051 |
tb65536 author:tb65536 |
feat(FieldTheory/PolynomialGaloisGroup): add equivariant bijection between root sets |
Currently the bijection `rootsEquivRoots` between root sets of a polynomial that splits is not equivariant with respect to the action of the Galois group. This PR demotes the existing `rootsEquivRoots` to an auxilliary def `rootsEquivRootsAux` and adds an equivariant `rootsEquivRoots` in its place.
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t-algebra
t-ring-theory
label:t-algebra$ |
32/18 |
Mathlib/FieldTheory/PolynomialGaloisGroup.lean |
1 |
3 |
['github-actions', 'mathlib-merge-conflicts', 'tb65536'] |
nobody |
19-45559 19 days ago |
19-46136 19 days ago |
61-58435 61 days |
| 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 |
19-39596 19 days ago |
19-47075 19 days ago |
19-49612 19 days |
| 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 |
19-22070 19 days ago |
19-24490 19 days ago |
19-26235 19 days |
| 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 |
19-20691 19 days ago |
19-24112 19 days ago |
19-27171 19 days |
| 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'] |
kex-y assignee:kex-y |
18-81457 18 days ago |
20-78278 20 days ago |
20-78265 20 days |
| 25834 |
Rida-Hamadani author:Rida-Hamadani |
feat(SimpleGraph): girth-diameter inequality |
This is a useful inequality that comes up in proofs related to Moore graphs, cages, SRGs, and so on.
Co-authored-by: Malhar A. Patel <142735852+Mal-Pat@users.noreply.github.com>
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|
t-combinatorics |
29/6 |
Mathlib/Combinatorics/SimpleGraph/Diam.lean,Mathlib/Combinatorics/SimpleGraph/Girth.lean,Mathlib/Combinatorics/SimpleGraph/Metric.lean |
3 |
17 |
['Rida-Hamadani', 'SnirBroshi', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
nobody |
18-36742 18 days ago |
24-80875 24 days ago |
54-75939 54 days |
| 42573 |
martinwintermath author:martinwintermath |
feat(LinearAlgebra/Dual): add inf/iInf lemmas for `dualCoannihilator` for finite dimensional subspaces |
Add
* `dualCoannihilator_inf_eq` proving `(W ⊓ W').dualCoannihilator = W.dualCoannihilator ⊔ W'.dualCoannihilator`
* `dualCoannihilator_iInf_eq` proving `(⨅ i, W i).dualCoannihilator = ⨆ i, (W i).dualCoannihilator`
These lemmas are counterparts to the existing [`Submodule.dualCoannihilator_sup_eq`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/LinearAlgebra/Dual/Defs.html#Submodule.dualCoannihilator_sup_eq) and [`Subspace.dualAnnihilator_inf_eq`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/LinearAlgebra/Dual/Lemmas.html#Subspace.dualAnnihilator_inf_eq) and their indexed version. In contrast to those, the new lemmas need to assume `FiniteDimensional` for all subspaces.
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|
t-algebra label:t-algebra$ |
16/0 |
Mathlib/LinearAlgebra/Dual/Lemmas.lean |
1 |
1 |
['github-actions'] |
nobody |
18-27545 18 days ago |
18-28824 18 days ago |
18-30025 18 days |
| 42518 |
theebayuser author:theebayuser |
feat(Geometry/Euclidean): add the British flag theorem |
Adds the British flag theorem to `Mathlib/Geometry/Euclidean/`
The rectangle is expressed as a parallelogram, the diagonals `a c` and
`b d` share a midpoint with a right angle at a.
Main results
* `EuclideanGeometry.dist_sq_add_dist_sq_eq_dist_sq_add_dist_sq_of_angle_eq_pi_div_two` —
the British flag theorem.
* `EuclideanGeometry.dist_sq_add_dist_sq_eq_dist_sq_add_dist_sq_iff_angle_eq_pi_div_two` —
the if-and-only-if form: among parallelograms the identity characterises rectangles. It needs
no nondegeneracy hypotheses, thanks to the `angle 0 v = π / 2` convention.
* `EuclideanGeometry.dist_sq_add_dist_sq_eq_dist_sq_add_dist_sq_add_two_mul_dist_mul_dist_mul_cos_angle`
— a generalisation to arbitrary parallelograms with a law-of-cosines correction term.
* `InnerProductGeometry.norm_sq_add_norm_sub_add_sq_eq_norm_sub_sq_add_norm_sub_sq_add_two_inner`
and its `…_iff_inner_eq_zero` corollary — the underlying inner-product identity, in the vector
layer.
AI disclosure
This contribution was developed with assistance from Claude Code.
|
t-euclidean-geometry
new-contributor
LLM-generated
|
112/0 |
Mathlib.lean,Mathlib/Geometry/Euclidean/BritishFlag.lean,docs/1000.yaml |
3 |
5 |
['github-actions', 'theebayuser', 'wwylele'] |
jsm28 assignee:jsm28 |
18-26112 18 days ago |
19-61115 19 days ago |
19-61102 19 days |
| 42569 |
astrainfinita author:astrainfinita |
refactor: use `cmpLE` in `LinearOrder` |
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|
t-order
tech debt
|
110/69 |
Mathlib/Data/Ordering/Basic.lean,Mathlib/Data/Prod/Lex.lean,Mathlib/Data/String/Basic.lean,Mathlib/Order/Basic.lean,Mathlib/Order/Compare.lean,Mathlib/Order/CompleteLattice/Defs.lean,Mathlib/Order/ConditionallyCompleteLattice/Defs.lean,Mathlib/Order/Defs/LinearOrder.lean,Mathlib/Order/OrderDual.lean,Mathlib/Order/Std.lean,scripts/nolints.json |
11 |
3 |
['JovanGerb', 'astrainfinita', 'github-actions'] |
nobody |
18-17729 18 days ago |
18-20984 18 days ago |
18-24272 18 days |
| 42315 |
sfingali author:sfingali |
feat(Topology): the adic spectrum Spa(A, A+) as a topological space |
### Summary
Defines the adic spectrum `Spa(A, A⁺)` as a set and topological space for a
topological ring `A` and a subring `A⁺` (Wedhorn, *Adic Spaces*,
arXiv:1910.05934, Def. 7.23 and Def. 7.29, pp. 62–63).
* `SpaPoint A A⁺` — a point of the adic spectrum: a continuous valuation
`v : A → Γ₀` with `v(f) ≤ 1` for all `f ∈ A⁺`.
* `SpaPoint.rationalSubset s T` — the rational subset `R(T/s)`.
* `SpaPoint.spaTopologicalSpace` — the topology generated by the rational
subsets with `T · A` open in `A`; `isOpen_rationalSubset` shows every such
rational subset is open.
* `SpaPoint.mem_rationalSubset_one` — Wedhorn, Rem. 7.30(4): `R(f/1)` is the
set `{x | |f(x)| ≤ 1}`.
Third step of an adic/perfectoid pipeline (Huber rings #42312 → continuous
valuations #42314 → Spa → Huber pairs → perfectoid → tilting). This PR works
with the element-level notion (a bundled continuous valuation with a fixed
value group); Wedhorn defines `Spa(A, A⁺)` as a subspace of the valuation
spectrum `Spv(A)` — the comparison is added once the spectrum PR lands.
### References
* T. Wedhorn, *Adic Spaces*, arXiv:1910.05934, Def. 7.23, Def. 7.29,
Rem. 7.30 (pp. 62–63).
|
new-contributor |
411/0 |
Mathlib.lean,Mathlib/RingTheory/Valuation/ContinuousValuation.lean,Mathlib/Topology/Algebra/Nonarchimedean/Spa.lean |
3 |
3 |
['github-actions', 'tb65536'] |
nobody |
18-15628 18 days ago |
24-23526 24 days ago |
24-27507 24 days |
| 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 |
18-8920 18 days ago |
25-86141 25 days ago |
26-274 26 days |
| 31092 |
FlAmmmmING author:FlAmmmmING |
feat(Algebra/Group/ForwardDiff.lean): Add theorem `sum_shift_eq_fwdDiff_iter`. |
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|
t-algebra
new-contributor
label:t-algebra$ |
17/1 |
Mathlib/Algebra/Group/ForwardDiff.lean |
1 |
24 |
['BeibeiX0', 'FlAmmmmING', 'Ruben-VandeVelde', 'dagurtomas', 'github-actions', 'jcommelin', 'mathlib-bors', 'mathlib4-merge-conflict-bot'] |
eric-wieser assignee:eric-wieser |
17-81460 17 days ago |
63-66043 63 days ago |
118-1685 118 days |
| 37934 |
Thmoas-Guan author:Thmoas-Guan |
feat(FieldTheory): definition of transcendental separable field extension |
In this PR, we introduce the concept of separably generated field extension and transcendental separable field extension.
Further properties will be in #37838
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|
t-algebra label:t-algebra$ |
102/0 |
Mathlib.lean,Mathlib/FieldTheory/TranscendentalSeparable.lean |
2 |
14 |
['Thmoas-Guan', 'github-actions', 'robin-carlier'] |
eric-wieser assignee:eric-wieser |
17-81458 17 days ago |
108-31573 108 days ago |
116-49737 116 days |
| 38194 |
ryanncode author:ryanncode |
feat(LinearAlgebra/BilinearForm): add indefinite metrics |
Add the `IndefiniteMetric` structure to support vector spaces equipped with a non-degenerate, symmetric, indefinite bilinear form.
Provide the algebraic foundation for indefinite inner product spaces by formalizing the metric via `LinearMap.BilinForm` and extracting its associated quadratic form without enforcing the `IsPosSemidef` typeclass.
Previously, mathlib required strictly positive-definite metrics to instantiate inner product spaces (`InnerProductSpace`), which prevented the formalization of indefinite geometries without causing typeclass inference failures. Bridge this gap by isolating the symmetric bilinear form from topological and positivity constraints, allowing the library to handle generalized indefinite metric spaces safely.
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
47/0 |
Mathlib.lean,Mathlib/LinearAlgebra/BilinearForm/IndefiniteMetric.lean |
2 |
5 |
['dagurtomas', 'github-actions', 'mathlib-merge-conflicts', 'ryanncode'] |
kim-em assignee:kim-em |
17-81457 17 days ago |
95-38385 95 days ago |
111-8141 111 days |
| 38198 |
JovanGerb author:JovanGerb |
chore(Data/Real/Basic): `no_expose` the private operations |
This PR puts `no_expose` on all of the operations on `Real` that are defined in terms of quotients. This is a step in the direction of not exposing the definiton of `Real`.
Note that I leave the `irreducible_def`s as is. This is because the `simpNF` linter does not participate in the module system, and it would time out otherwise. Additionally, downstream users may not be using the module system.
---
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[](https://gitpod.io/from-referrer/)
|
t-data |
11/31 |
Mathlib/Data/Real/Basic.lean,Mathlib/Topology/Algebra/Valued/NormedValued.lean |
2 |
18 |
['JovanGerb', 'Vierkantor', 'eric-wieser', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts'] |
eric-wieser assignee:eric-wieser |
17-81456 17 days ago |
69-80316 69 days ago |
129-78962 129 days |
| 39307 |
FordUniver author:FordUniver |
feat(Combinatorics/SimpleGraph/Copy): introduce `UnlabeledCopy` carrier subtype |
Adds `abbrev UnlabeledCopy A B := {B' : B.Subgraph // Nonempty (A ≃g B'.coe)}` and uses it to replace the previous inline filter-set body of `copyCount G H`. Drops the now unused legacy Finset-image bridge `copyCount_eq_card_image_copyToSubgraph`. Adds `uniqueUnlabeledCopyBot` instance so `copyCount_bot` is a one-liner via `Fintype.card_unique`.
Co-authored-by: Malte Jackisch <45597826+MaltyBlanket@users.noreply.github.com>
---
**Step 1/5 of the `Copy` / `InducedCopy` refactor-feat stack.**
This PR isolates the `UnlabeledCopy` type introduction and the count's type-form redefinition from the larger rename/convention work in the rest of the stack. Note that resolving the current clash in naming (`Copy` and `UnlabeledCopy` vs `labelledCopyCount` and `copyCount`) is part of #38745.
|
t-combinatorics |
28/24 |
Mathlib/Combinatorics/SimpleGraph/Copy.lean |
1 |
26 |
['FordUniver', 'SnirBroshi', 'YaelDillies', 'b-mehta', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts', 'mitchell-horner'] |
b-mehta assignee:b-mehta |
17-81455 17 days ago |
40-27183 40 days ago |
94-47466 94 days |
| 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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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
|
227/0 |
Mathlib.lean,Mathlib/RingTheory/MvPolynomial/DeterminantalIdeal.lean |
2 |
3 |
['WangJiabai', 'github-actions'] |
mattrobball assignee:mattrobball |
17-81454 17 days ago |
82-23643 82 days ago |
82-23630 82 days |
| 41198 |
Raph-DG author:Raph-DG |
feat(AlgebraicGeometry): degree of a zero-cycle |
In this PR, we define the degree of a zero-cycle as in https://stacks.math.columbia.edu/tag/0AZ0
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|
t-algebraic-geometry
large-import
|
107/2 |
Mathlib/AlgebraicGeometry/AlgebraicCycle/Basic.lean,Mathlib/AlgebraicGeometry/ResidueField.lean,Mathlib/Topology/LocallyFinsupp.lean |
3 |
13 |
['Raph-DG', 'github-actions', 'joelriou'] |
kim-em assignee:kim-em |
17-81452 17 days ago |
50-55108 50 days ago |
53-39376 53 days |
| 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.
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|
t-combinatorics |
143/0 |
Mathlib/Combinatorics/SimpleGraph/Coloring/EdgeLabeling.lean |
1 |
26 |
['SnirBroshi', 'YaelDillies', 'b-mehta', 'github-actions', 'tb65536'] |
nobody |
17-80557 17 days ago |
53-7854 53 days ago |
65-53081 65 days |
| 40410 |
seewoo5 author:seewoo5 |
feat(DihedralGroup): center of $D_n$ for even $n\ne 2$ |
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For even $n \ne 2$, center of $D_n$ is generated by the rotation `r (n/2)`. This is a companion of `center_eq_bot_of_odd_ne_one` proved in #33971. Initial code & further golfing is done by Claude Opus 4.5.
[](https://gitpod.io/from-referrer/)
|
t-algebra
LLM-generated
t-group-theory
label:t-algebra$ |
41/0 |
Mathlib/GroupTheory/SpecificGroups/Dihedral.lean |
1 |
11 |
['SnirBroshi', 'github-actions', 'plp127', 'seewoo5'] |
nobody |
17-80551 17 days ago |
77-64059 77 days ago |
78-39663 78 days |
| 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 |
1 |
['github-actions'] |
nobody |
17-80550 17 days ago |
55-26877 55 days ago |
55-27139 55 days |
| 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'] |
TwoFX assignee:TwoFX |
17-78292 17 days ago |
42-83577 42 days ago |
79-7948 79 days |
| 42583 |
attilavjda author:attilavjda |
chore(Analysis/Calculus/FDeriv/Prod): deprecate differentiable*_finCons' as duplicates |
The four primed differentiable*_finCons' lemmas are definitionally the unprimed ones (@…' = @… := rfl). Replaced by deprecated aliases, and repointed four in-file uses.
Aristotle found this duplication.
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|
t-analysis
new-contributor
|
12/28 |
Mathlib/Analysis/Calculus/FDeriv/Prod.lean |
1 |
5 |
['Rob23oba', 'attilavjda', 'github-actions'] |
nobody |
17-60245 17 days ago |
18-4822 18 days ago |
18-4809 18 days |
| 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 |
17-50273 17 days ago |
17-50905 17 days ago |
69-59357 69 days |
| 37954 |
jdhart81 author:jdhart81 |
feat(Data/ENNReal/Inv): add ENNReal.div_mul_div_cancel |
Proves a / b * (b / c) = a / c for b ≠ 0, b ≠ ∞ in ENNReal. Proof via mul_div_assoc and existing div_mul_cancel.
AI Disclosure: This PR was developed with assistance from an LLM (Claude, Anthropic) for proof exploration and text drafting. The proof was compiled and verified locally by the contributor, who understands the mathematical content. This lemma is extracted from a larger formalization of information-theoretic bounds (Zenodo DOI: 10.5281/zenodo.19317983).
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|
t-data
new-contributor
|
8/0 |
Mathlib/Data/ENNReal/Inv.lean,Mathlib/Data/EReal/Inv.lean |
2 |
12 |
['felixpernegger', 'github-actions', 'jdhart81'] |
nobody |
17-50254 17 days ago |
30-12233 30 days ago |
30-12295 30 days |
| 42421 |
SnirBroshi author:SnirBroshi |
feat(Order/CompactlyGenerated/Basic): the supremum of compact elements is compact and other basics |
- `⊥` is compact
- `⊔` of compacts is compact
- `WellFoundedGT` implies that every element is compact
- Generalize `IsCompactlyGenerated` to use `IsLUB`, like `IsCompactElement` & `IsAtomistic`
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t-order |
84/34 |
Mathlib/Algebra/Lie/Submodule.lean,Mathlib/FieldTheory/IntermediateField/Adjoin/Basic.lean,Mathlib/LinearAlgebra/Span/Basic.lean,Mathlib/Order/CompactlyGenerated/Basic.lean,Mathlib/Order/CompactlyGenerated/Intervals.lean |
5 |
1 |
['github-actions'] |
nobody |
17-25068 17 days ago |
22-32944 22 days ago |
22-35886 22 days |
| 39110 |
SnirBroshi author:SnirBroshi |
chore(Data/Set): reduce defeq abuse of `Set α = α → Prop` |
These are among the first places that would fail if `Set α` wasn't defeq to `α → Prop`.
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t-data |
35/20 |
Mathlib/Data/Set/Basic.lean,Mathlib/Data/Set/Defs.lean,Mathlib/Data/Set/Insert.lean,Mathlib/Data/Set/Prod.lean,Mathlib/Order/BooleanAlgebra/Set.lean |
5 |
27 |
['SnirBroshi', 'Vierkantor', 'github-actions', 'leanprover-radar', 'mathlib-bors', 'mathlib-merge-conflicts', 'themathqueen', 'urkud', 'vihdzp'] |
eric-wieser assignee:eric-wieser |
16-81455 16 days ago |
40-15520 40 days ago |
108-41518 108 days |
| 39722 |
kg583 author:kg583 |
feat(Combinatorics): link `Nat.Partition` to `YoungDiagram` |
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|
t-combinatorics
new-contributor
large-import
|
111/4 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/Partition/Basic.lean,Mathlib/Combinatorics/Enumerative/Partition/YoungDiagram.lean,Mathlib/Combinatorics/Young/YoungDiagram.lean |
4 |
48 |
['NoahW314', 'YaelDillies', 'github-actions', 'kg583', 'wwylele'] |
b-mehta assignee:b-mehta |
16-81453 16 days ago |
51-10740 51 days ago |
86-5644 86 days |
| 40479 |
thefundamentaltheor3m author:thefundamentaltheor3m |
feat(LinearAlgebra/AffineSpace/Simplex/Standard): Define the standard $n$-simplex as an `Affine.Simplex` |
In this PR, we define a basis-dependent construction of an affine simplex, using which we define the standard $n$-simplex in `Fin n → k` in terms of `Pi.basisFun`.
The main constructions are `Affine.Simplex.mkOfAffineBasis` and `Affine.Simplex.mkOfBasis`. The former constructs a simplex from any affine basis of an affine space and the latter constructs an affine simplex in a vector space viewed as an affine space. We then relate the construction to `stdSimplex`, defined in `Analysis.Convex.StdSimplex`.
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LLM-generated
new-contributor
|
174/0 |
Mathlib.lean,Mathlib/LinearAlgebra/AffineSpace/Basis.lean,Mathlib/LinearAlgebra/AffineSpace/Simplex/Standard.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean |
4 |
12 |
['github-actions', 'thefundamentaltheor3m', 'wwylele'] |
nobody |
16-58112 16 days ago |
16-61270 16 days ago |
45-34433 45 days |
| 39585 |
chrisflav author:chrisflav |
chore(RingTheory): add `rfl` lemmas for `Ideal.quotientInfRingEquivPiQuotient` |
From Pi1.
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|
t-ring-theory |
11/0 |
Mathlib/RingTheory/Ideal/Quotient/Operations.lean |
1 |
6 |
['felixpernegger', 'github-actions', 'mathlib-bors', 'riccardobrasca'] |
riccardobrasca assignee:riccardobrasca |
16-44634 16 days ago |
16-44634 16 days ago |
85-22454 85 days |
| 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 |
16-23877 16 days ago |
16-24808 16 days ago |
16-25566 16 days |
| 42615 |
williamjblair author:williamjblair |
feat(Data/Nat/Prime/Basic): a nonzero natural has a prime not dividing it |
Any prime factor of `n + 1` works, so the proof needs nothing beyond `minFac`.
---
[](https://gitpod.io/from-referrer/) |
t-data
new-contributor
LLM-generated
|
8/0 |
Mathlib/Data/Nat/Prime/Basic.lean |
1 |
3 |
['github-actions', 'williamjblair'] |
nobody |
16-22530 16 days ago |
16-24906 16 days ago |
16-24893 16 days |
| 42614 |
williamjblair author:williamjblair |
chore(Algebra/Group/Action/Pointwise/Set): generalize smul_mem_smul_set_iff to IsLeftCancelSMul |
The lemma only needs `a • ·` to be injective, which is what `IsLeftCancelSMul` says. Moving it into that section covers the previous `[Group α] [MulAction α β]` case through the existing instance, and also covers `[Mul α] [IsLeftCancelMul α]` acting on itself.
---
[](https://gitpod.io/from-referrer/) |
t-algebra
new-contributor
LLM-generated
label:t-algebra$ |
5/4 |
Mathlib/Algebra/Group/Action/Pointwise/Set/Basic.lean |
1 |
3 |
['github-actions', 'williamjblair'] |
nobody |
16-22312 16 days ago |
16-25131 16 days ago |
16-25118 16 days |
| 39287 |
xgenereux author:xgenereux |
feat(Localization/AtPrime/Basic): upgrade `equivQuotMaximalIdeal` to an AlgEquiv |
The definition [IsLocalization.AtPrime.equivQuotMaximalIdealPow](https://leanprover-community.github.io/mathlib4_docs/Mathlib/RingTheory/Localization/AtPrime/Basic.html#IsLocalization.AtPrime.equivQuotMaximalIdealPow) was added in #36783.
The case with `n = 1` is still important and interesting. I have upgraded it to an AlgEquiv using `equivQuotMaximalIdealPow`.
This did break a few small things, because we need to bridge back to a `RingEquiv` in some places. I took the liberty to add some missing `apply` lemmas to ease fixing these proofs.
Disclaimer: I used Claude to suggest the first shot and refined it from there.
Co-authored-by: María Inés de Frutos Fernández <[mariaines.dff@gmail.com](mailto:mariaines.dff@gmail.com)>
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|
t-ring-theory |
47/63 |
Mathlib/RingTheory/Localization/AtPrime/Basic.lean,Mathlib/RingTheory/Localization/AtPrime/Extension.lean,Mathlib/RingTheory/Trace/Quotient.lean |
3 |
5 |
['github-actions', 'mathlib-merge-conflicts', 'wwylele', 'xgenereux'] |
mattrobball assignee:mattrobball |
16-4455 16 days ago |
16-5402 16 days ago |
79-41675 79 days |
| 38855 |
SnirBroshi author:SnirBroshi |
feat(Order/ConditionallyCompleteLattice/Indexed): `≤` version of `ciSup_or'` for `ConditionallyCompleteLattice` |
Deprime `ciSup_or'` because there's no `ciSup_or`, and add a `≤` version (and dual) for `ConditionallyCompleteLattice`.
Only `≤` because equality does not hold when `p ≠ q` without `sSup ∅ = ⊥`.
---
`ciSup_or'` can't have a dual because there's no dual to `ConditionallyCompleteLinearOrderBot`.
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|
t-order |
8/1 |
Mathlib/Order/ConditionallyCompleteLattice/Indexed.lean |
1 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
bryangingechen assignee:bryangingechen |
16-3049 16 days ago |
16-5511 16 days ago |
104-80016 104 days |
| 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 |
16-2275 16 days ago |
16-5796 16 days ago |
16-5783 16 days |
| 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'] |
chrisflav assignee:chrisflav |
15-81500 15 days ago |
15-81500 15 days ago |
43-29618 43 days |
| 41903 |
felixpernegger author:felixpernegger |
chore: simplify proofs with `grind` |
These all come from the [weekly linting log](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Weekly.20linting.20log) "Info messages count".
Note that that counter has two false positives which arise due to "all_goals". These are not included here obviously, but all others are (can undo some if they seriously hurt performance).
---
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|
tech debt |
10/40 |
Mathlib/Algebra/Polynomial/RuleOfSigns.lean,Mathlib/AlgebraicTopology/SimplexCategory/ToMkOne.lean,Mathlib/Analysis/Calculus/Taylor.lean,Mathlib/Analysis/Complex/JensenFormula.lean,Mathlib/Analysis/Convex/MetricSpace.lean,Mathlib/Analysis/SpecialFunctions/Stirling.lean,Mathlib/Combinatorics/Hypergraph/Basic.lean,Mathlib/Data/List/Defs.lean,Mathlib/LinearAlgebra/AffineSpace/Simplex/Basic.lean,Mathlib/MeasureTheory/MeasurableSpace/Defs.lean,Mathlib/MeasureTheory/Measure/Restrict.lean,Mathlib/MeasureTheory/SetSemiring.lean,Mathlib/NumberTheory/LucasLehmer.lean,Mathlib/Order/CountableSupClosed.lean,Mathlib/Probability/Moments/SubGaussian.lean,Mathlib/Probability/Process/LocalProperty.lean,Mathlib/RingTheory/MvPowerSeries/GaussNorm.lean,Mathlib/Topology/Order/Basic.lean |
18 |
11 |
['Vierkantor', 'felixpernegger', 'github-actions', 'leanprover-radar', 'vlad902'] |
JovanGerb assignee:JovanGerb |
15-81456 15 days ago |
39-14410 39 days ago |
39-14416 39 days |
| 42318 |
JovanGerb author:JovanGerb |
chore: remove `@[expose]` from meta definitions |
This PR removes `@[expose]` from sections where all definitions are meta definitions. (They might not be tagged `meta` explicitly, but they are meant only for execution and not for proving).
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|
tech debt |
26/26 |
Mathlib/Lean/ContextInfo.lean,Mathlib/Lean/CoreM.lean,Mathlib/Lean/Elab/InfoTree.lean,Mathlib/Lean/Elab/Tactic/Basic.lean,Mathlib/Lean/Elab/Tactic/Meta.lean,Mathlib/Lean/Exception.lean,Mathlib/Lean/GoalsLocation.lean,Mathlib/Lean/Meta/Basic.lean,Mathlib/Lean/Meta/DiscrTree.lean,Mathlib/Lean/Meta/KAbstractPositions.lean,Mathlib/Lean/Meta/RefinedDiscrTree/Basic.lean,Mathlib/Lean/Meta/Simp.lean,Mathlib/Lean/Meta/Tactic/Rewrite.lean,Mathlib/Lean/PrettyPrinter/Delaborator.lean,Mathlib/LinearAlgebra/Matrix/Notation.lean,Mathlib/Order/Notation.lean,Mathlib/Tactic/Module.lean,Mathlib/Tactic/NormNum/Result.lean |
18 |
1 |
['github-actions'] |
nobody |
15-81161 15 days ago |
15-81215 15 days ago |
15-82246 15 days |
| 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 |
2 |
['github-actions'] |
nobody |
15-74823 15 days ago |
15-75418 15 days ago |
15-75405 15 days |
| 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).
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|
t-topology
new-contributor
LLM-generated
|
146/0 |
Mathlib.lean,Mathlib/Topology/EMetricSpace/PathLength.lean,Mathlib/Topology/Path.lean |
3 |
72 |
['CoolRmal', 'Zeta-Wu', 'felixpernegger', 'github-actions', 'pelicanhere', 'scholzhannah'] |
scholzhannah assignee:scholzhannah |
15-60735 15 days ago |
28-73897 28 days ago |
30-43078 30 days |
| 42606 |
mo271 author:mo271 |
refactor(Data/Nat/Choose/Central): move and rename `four_pow_le_two_mul_add_one_mul_central_binom` |
Move `four_pow_le_two_mul_add_one_mul_central_binom` from [`Mathlib.Data.Nat.Choose.Sum`](file:///usr/local/google/home/firsching/mathlib4/Mathlib/Data/Nat/Choose/Sum.lean) to [`Mathlib.Data.Nat.Choose.Central`](file:///usr/local/google/home/firsching/mathlib4/Mathlib/Data/Nat/Choose/Central.lean) and adjust it to fit the file's API:
* **Rename**: `four_pow_le_two_mul_add_one_mul_central_binom` → [`four_pow_le_two_mul_add_one_mul_centralBinom`](file:///usr/local/google/home/firsching/mathlib4/Mathlib/Data/Nat/Choose/Central.lean#L123-L128) (aligning with `centralBinom` casing convention).
* **Statement**: Stated using `centralBinom n` rather than `(2 * n).choose n`.
* **Proof**: Simplified by using [`four_pow_le_two_mul_self_mul_centralBinom`](file:///usr/local/google/home/firsching/mathlib4/Mathlib/Data/Nat/Choose/Central.lean#L110-L122) directly, avoiding an import dependency on `Choose.Sum`.
* **Deprecation**: Added a deprecation alias for the old name.
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|
t-data |
13/7 |
Mathlib/Data/Nat/Choose/Central.lean,Mathlib/Data/Nat/Choose/Sum.lean |
2 |
4 |
['SnirBroshi', 'github-actions', 'mo271'] |
nobody |
15-54273 15 days ago |
16-51090 16 days ago |
16-51077 16 days |
| 41100 |
tb65536 author:tb65536 |
refactor(RingTheory/Localization/AtPrime/Basic): replace `IsLiesOverAlgebra` with `IsScalarTower` |
As @erdOne pointed out on #38465, the recently added `IsLiesOverAlgebra` is equivalent to assuming `IsScalarTower`. So I've deprecated `IsLiesOverAlgebra` and switched everything over to `IsScalarTower`.
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|
t-ring-theory
t-algebra
label:t-algebra$ |
74/58 |
Mathlib/RingTheory/Flat/Localization.lean,Mathlib/RingTheory/LocalRing/ResidueField/Fiber.lean,Mathlib/RingTheory/LocalRing/ResidueField/Ideal.lean,Mathlib/RingTheory/LocalRing/ResidueField/Instances.lean,Mathlib/RingTheory/LocalRing/ResidueField/Polynomial.lean,Mathlib/RingTheory/Localization/AtPrime/Basic.lean,Mathlib/RingTheory/QuasiFinite/Basic.lean,Mathlib/RingTheory/QuasiFinite/Weakly.lean,Mathlib/RingTheory/RamificationInertia/Inertia.lean,Mathlib/RingTheory/RamificationInertia/Ramification.lean,Mathlib/RingTheory/Unramified/LocalRing.lean,Mathlib/RingTheory/Unramified/LocalStructure.lean,Mathlib/RingTheory/Unramified/Locus.lean |
13 |
9 |
['chrisflav', 'github-actions', 'mathlib-merge-conflicts', 'tb65536'] |
nobody |
15-50789 15 days ago |
15-51819 15 days ago |
60-18783 60 days |
| 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'] |
nobody |
15-31466 15 days ago |
38-80452 38 days ago |
38-80960 38 days |
| 42650 |
FrankieNC author:FrankieNC |
feat(Data/EReal): prove `recENNReal_neg_coe_ennreal` (`proof_wanted`) |
Prove `recENNReal_neg_coe_ennreal`, the second computation rule for the induction principle `EReal.recENNReal`.
---
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|
file-removed
t-data
|
11/19 |
Mathlib/Data/EReal/Operations.lean,Wanted.lean,Wanted/Data/EReal/Operations.lean |
3 |
1 |
['github-actions'] |
nobody |
15-30833 15 days ago |
15-32383 15 days ago |
15-32370 15 days |
| 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 |
15-22227 15 days ago |
15-22927 15 days ago |
27-50324 27 days |
| 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'] |
nobody |
15-21269 15 days ago |
39-6436 39 days ago |
39-6423 39 days |
| 42644 |
artie2000 author:artie2000 |
feat(Order/Lattice): add `grind` attributes to `sup_of_le_left` etc |
* Add the equations for sup and inf being equal to either argument in a poset to `grind`.
* These rules sit alongside the "sup = if .. then .. else .." `grind` rule in a total order.
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|
t-order
t-meta
|
13/6 |
Mathlib/Analysis/SpecialFunctions/Artanh.lean,Mathlib/Order/Lattice.lean |
2 |
3 |
['JovanGerb', 'artie2000', 'github-actions'] |
nobody |
15-21053 15 days ago |
15-24361 15 days ago |
15-26766 15 days |
| 41098 |
vlad902 author:vlad902 |
feat(RingTheory): krull dimension of a polynomial ring in an infinite number of variables |
Add a simp lemma that `dim(R[X_1, ...]) = ∞` and also derive an ENat-valued lemma that `dim(R[X_s]) = dim(R) + card(X_s)`. Note that I keep the original lemma for finite index sets as @[simp] since this is likely to be the more common case in practice.
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|
t-ring-theory |
32/1 |
Mathlib/Algebra/Order/Monoid/WithTop.lean,Mathlib/Order/WithBot.lean,Mathlib/RingTheory/KrullDimension/NonZeroDivisors.lean,Mathlib/RingTheory/KrullDimension/Polynomial.lean |
4 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
15-19912 15 days ago |
15-23192 15 days ago |
49-74099 49 days |
| 40023 |
chenson2018 author:chenson2018 |
chore(AlgebraicTopology): refactor proofs where `grind?` fails |
These are sources of technical debt as now reported in the [weekly linting report](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Weekly.20linting.20log/with/544658968). The idea is that a successful grind proof can fail to report the theorems it used via grind?, which means that if these proofs break across toolchains that it becomes significantly harder to repair.
---
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|
t-algebraic-topology
will-close-soon
|
11/5 |
Mathlib/AlgebraicTopology/SimplexCategory/DeltaZeroIter.lean,Mathlib/AlgebraicTopology/SimplexCategory/GeneratorsRelations/NormalForms.lean,Mathlib/AlgebraicTopology/SimplicialSet/NonDegenerateSimplices.lean,Mathlib/AlgebraicTopology/SimplicialSet/NonDegenerateSimplicesSubcomplex.lean |
4 |
4 |
['chenson2018', 'github-actions', 'grunweg', 'joelriou'] |
nobody |
15-15177 15 days ago |
89-24915 89 days ago |
89-24902 89 days |
| 42633 |
SnirBroshi author:SnirBroshi |
feat(Order/OrderIsoNat): every chain is finite when `<` and `>` are well-founded |
Also generalizes `IsChain.linearOrder` from `PartialOrder` to `Preorder`.
This requires changing the chain hypothesis from `≤` to `<`, but in a `PartialOrder` you could use [`IsChain.lt_of_le`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Order/Preorder/Chain.html#IsChain.lt_of_le) to go back (do `h.lt_of_le.linearOrder` instead of `h.linearOrder`).
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|
t-order |
19/8 |
Mathlib/Order/OrderIsoNat.lean,Mathlib/Order/Preorder/Chain.lean,Mathlib/SetTheory/Cardinal/EventuallyConst.lean |
3 |
1 |
['github-actions'] |
nobody |
15-5263 15 days ago |
15-8836 15 days ago |
15-12832 15 days |
| 42200 |
tb65536 author:tb65536 |
feat(GroupTheory/Finiteness): add general `IsMulFG` |
This PR adds a general `IsMulFG` predicate that generalizes all four existing definitions `Monoid.FG`, `Submonoid.FG`, `Group.FG` and `Subgroup.FG`. Ultimately the plan will be to deprecate all four existing definitions in favor of `IsMulFG`.
---
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t-algebra
t-group-theory
label:t-algebra$ |
178/0 |
Mathlib/Algebra/Group/Submonoid/Basic.lean,Mathlib/Data/Set/Finite/Basic.lean,Mathlib/GroupTheory/Finiteness.lean |
3 |
13 |
['eric-wieser', 'github-actions', 'tb65536', 'vihdzp', 'vlad902'] |
nobody |
15-1870 15 days ago |
15-5515 15 days ago |
28-77736 28 days |
| 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'] |
nobody |
14-86104 14 days ago |
15-6861 15 days ago |
15-6848 15 days |
| 41438 |
SnirBroshi author:SnirBroshi |
doc(Matrix): mention bundled forms in docstrings |
Followup to https://github.com/leanprover-community/mathlib4/pull/39123#issuecomment-4798925362
---
As in `Matrix.map`s docstring, the convention is "This is available in bundled forms as" and then listing bundled versions in asterisk bullet-points.
If there's only one item I went with "This is available in a bundled form as X".
For `Matrix.entry{AddHom/AddMonoidHom/LinearMap}` none of them is the "main" definition, so I added "see also" for each of them listing the other two.
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|
t-algebra label:t-algebra$ |
88/15 |
Mathlib/Data/Matrix/Basic.lean,Mathlib/Data/Matrix/Composition.lean,Mathlib/Data/Matrix/Diagonal.lean,Mathlib/Data/Matrix/Mul.lean,Mathlib/LinearAlgebra/Matrix/ConjTranspose.lean,Mathlib/LinearAlgebra/Matrix/Defs.lean,Mathlib/LinearAlgebra/Matrix/Determinant/Basic.lean,Mathlib/LinearAlgebra/Matrix/Permutation.lean |
8 |
16 |
['SnirBroshi', 'eric-wieser', 'github-actions', 'mathlib-splicebot', 'themathqueen'] |
nobody |
14-81675 14 days ago |
14-81675 14 days ago |
50-32837 50 days |
| 36323 |
SproutSeeds author:SproutSeeds |
feat(Inversion): discontinuity and center/global fderiv formulas |
Part of #5939
Adds the discontinuity-at-center lemma for inversion and derives the center/global `fderiv` formulas from it. 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`
Tools used: Codex 5.3 extra high
---
Happy to adjust naming, placement, or proof style based on maintainer preference.
|
t-euclidean-geometry
new-contributor
LLM-generated
|
22/0 |
Mathlib/Geometry/Euclidean/Inversion/Calculus.lean |
1 |
4 |
['SproutSeeds', 'github-actions', 'mathlib-merge-conflicts'] |
jsm28 assignee:jsm28 |
14-81460 14 days ago |
15-74178 15 days ago |
15-74165 15 days |
| 37745 |
AntoineChambert-Loir author:AntoineChambert-Loir |
feat(RingTheory/AugmentationIdeal): base change for augmentation ideals |
Base change for augmentation ideals
Co-authored with: @mariainesdff
---
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|
t-ring-theory
t-algebra
large-import
label:t-algebra$ |
441/1 |
Mathlib.lean,Mathlib/Algebra/Algebra/Hom.lean,Mathlib/Algebra/Algebra/Subalgebra/Basic.lean,Mathlib/Algebra/Module/Submodule/Range.lean,Mathlib/LinearAlgebra/Projection.lean,Mathlib/LinearAlgebra/Span/Defs.lean,Mathlib/LinearAlgebra/TensorProduct/Projection.lean,Mathlib/LinearAlgebra/TensorProduct/RightExactness.lean,Mathlib/LinearAlgebra/TensorProduct/Submodule.lean,Mathlib/Order/Disjoint.lean,Mathlib/RingTheory/Ideal/IsAugmentation.lean,Mathlib/RingTheory/TensorProduct/Basic.lean |
12 |
18 |
['AntoineChambert-Loir', 'dagurtomas', 'github-actions', 'mathlib-dependent-issues'] |
joneugster assignee:joneugster |
14-81459 14 days ago |
103-44637 103 days ago |
104-18600 104 days |
| 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`.
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 |
2 |
['github-actions'] |
joneugster assignee:joneugster |
14-81457 14 days ago |
96-49017 96 days ago |
96-49604 96 days |
| 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
|
330/3 |
Mathlib/CategoryTheory/Bicategory/Extension.lean,Mathlib/CategoryTheory/Bicategory/Kan/IsKan.lean |
2 |
3 |
['FernandoChu', 'github-actions', 'grunweg'] |
robin-carlier assignee:robin-carlier |
14-81455 14 days ago |
49-52500 49 days ago |
49-52487 49 days |
| 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 |
123/19 |
Mathlib/Analysis/Normed/Field/Dense.lean,Mathlib/Analysis/Normed/Module/Completion.lean,Mathlib/NumberTheory/Padics/Complex.lean |
3 |
8 |
['YijunYuan', 'github-actions', 'pechersky'] |
nobody |
14-80553 14 days ago |
36-56997 36 days ago |
37-31160 37 days |
| 42553 |
FrankieNC author:FrankieNC |
refactor(Topology/Compactness): deduce `nhdsSet_prod_eq_biSup` from the `inf` version |
Answer the TODO above `IsCompact.nhdsSet_inf_eq_biSup`: prove `IsCompact.mem_nhdsSet_inf_of_forall` directly by compact induction and deduce the product version from it, instead of the other way around. The deduction endows `Y` with the indiscrete topology, so that `𝓝ˢ K ×ˢ l` becomes `𝓝ˢ (K ×ˢ {y₀}) ⊓ comap Prod.snd l` with `K ×ˢ {y₀}` compact.
---
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|
t-topology |
45/38 |
Mathlib/Topology/Compactness/Compact.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
CoolRmal assignee:CoolRmal |
14-79011 14 days ago |
18-10837 18 days ago |
19-3463 19 days |
| 42244 |
marcelolynch author:marcelolynch |
perf(LinearAlgebra/TensorProduct/Tower): remove unused P' instance binders |
The Semiring section of this file declares `[Module B P']`, `[IsScalarTower R B P']`, and `[SMulCommClass A B P']`. The three declarations that use `P'` (`map_comp`, `rTensor_comp`, `congr_trans`) need only the `R`/`A`-side instances. No other declaration mentions `P'`. The unused binders are candidates in every `IsScalarTower` and `SMulCommClass` search in the section.
This PR removes the three unused instance binders. No signature changes: a full dump of the module's constant types is identical before and after. Standalone elaboration of the file goes from 5.47 s to 5.15 s (medians of 6 interleaved runs, −6 %).
Same mechanism as #42214 and #42238.
🤖 Generated with [Claude Code](https://claude.com/claude-code) |
t-algebra label:t-algebra$ |
2/2 |
Mathlib/LinearAlgebra/TensorProduct/Tower.lean |
1 |
3 |
['github-actions', 'leanprover-radar', 'marcelolynch'] |
nobody |
14-70327 14 days ago |
14-70347 14 days ago |
14-70334 14 days |
| 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 |
14-55850 14 days ago |
14-57708 14 days ago |
14-59198 14 days |
| 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 |
14-54173 14 days ago |
14-55901 14 days ago |
14-58921 14 days |
| 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 |
14-50744 14 days ago |
14-67351 14 days ago |
14-69376 14 days |
| 42505 |
attilavjda author:attilavjda |
chore(Algebra/Tropical/Basic): deduplicate five pairs of lemmas |
`On a LinearOrder`, `⊓`/`⊔` are `min`/`max`, so `trop_inf`, `untrop_sup`, `inf_eq_add`, and `trop_sup_def` are the same statements as `trop_min`, `untrop_max`, `min_eq_add`, and `trop_max_def`, respectively (three duplicated `simp` lemmas). Likewise, `injective_trop`/`injective_untrop` duplicate `trop_injective`/`untrop_injective`. The removed lemmas become deprecated aliases.
[I used Aristotle AI](https://github.com/attilavjda/formal-contributions/blob/main/tropical_dedup_lemmas/RequestProject/TropicalDedup.lean) it helped find the duplicates, and generated the solutions, verified the equivalences, and helped in understanding the proofs, and meaning of the refactor.
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|
new-contributor
t-algebra
LLM-generated
label:t-algebra$ |
8/17 |
Mathlib/Algebra/Tropical/Basic.lean |
1 |
2 |
['github-actions', 'wwylele'] |
nobody |
14-47570 14 days ago |
20-13245 20 days ago |
20-17104 20 days |
| 42683 |
harahu author:harahu |
chore(FieldTheory): tidy markdown headers |
Align markdown headers with the style guide:
- Ensure files have one and only one H1 header
- Use `## References`, like the style guide asks for
---
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|
t-algebra label:t-algebra$ |
7/6 |
Mathlib/FieldTheory/Extension.lean,Mathlib/FieldTheory/Finite/Polynomial.lean,Mathlib/FieldTheory/Isaacs.lean,Mathlib/FieldTheory/JacobsonNoether.lean,Mathlib/FieldTheory/PurelyInseparable/AdjoinPthRoots.lean |
5 |
1 |
['github-actions'] |
nobody |
14-47404 14 days ago |
14-48741 14 days ago |
14-48728 14 days |
| 42647 |
martinwintermath author:martinwintermath |
feat(Geometry/Convex): add polytopes |
This PR adds
* the predicate `IsPolytope` for a subset of a `ConvexSpace`.
* the bundled object `Polytope`
This is the first PR in a series of PRs implementing polytope theory.
---
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|
t-convex-geometry |
200/0 |
Mathlib.lean,Mathlib/Geometry/Convex/Polytope/Basic.lean,Mathlib/Geometry/Convex/Polytope/Lattice.lean |
3 |
9 |
['Parcly-Taxel', 'github-actions', 'martinwintermath', 'vihdzp'] |
nobody |
14-46594 14 days ago |
15-23506 15 days ago |
15-23794 15 days |
| 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 |
14-46520 14 days ago |
14-47607 14 days ago |
14-47594 14 days |
| 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 |
14-45479 14 days ago |
67-77550 67 days ago |
69-20967 69 days |
| 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 |
['github-actions'] |
nobody |
14-45210 14 days ago |
14-49559 14 days ago |
14-51109 14 days |
| 42671 |
harahu author:harahu |
chore(Data): tidy markdown headers |
We ensure files in `Mathlib/Data` have one and only one H1 header, thus enforcing the style guide.
New headers are authored by Claude Opus 5.
---
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|
t-data |
31/12 |
Mathlib/Data/FinEnum.lean,Mathlib/Data/Fintype/BigOperators.lean,Mathlib/Data/Fintype/Sum.lean,Mathlib/Data/Int/ConditionallyCompleteOrder.lean,Mathlib/Data/List/Defs.lean,Mathlib/Data/List/Induction.lean,Mathlib/Data/List/Lookmap.lean,Mathlib/Data/List/ModifyLast.lean,Mathlib/Data/List/TakeWhile.lean,Mathlib/Data/Nat/Prime/Infinite.lean,Mathlib/Data/Nat/Set.lean,Mathlib/Data/Nat/Size.lean,Mathlib/Data/Prod/Lex.lean,Mathlib/Data/QPF/Multivariate/Constructions/Prj.lean,Mathlib/Data/Rat/Cast/OfScientific.lean,Mathlib/Data/Rat/NatSqrt/Defs.lean,Mathlib/Data/Vector/Defs.lean,Mathlib/Data/Vector/MapLemmas.lean,Mathlib/Data/Vector/Snoc.lean |
19 |
1 |
['github-actions'] |
nobody |
14-43875 14 days ago |
14-49577 14 days ago |
14-52056 14 days |
| 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 |
14-41713 14 days ago |
21-53042 21 days ago |
21-53029 21 days |
| 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'] |
CoolRmal assignee:CoolRmal |
14-41543 14 days ago |
20-17790 20 days ago |
20-17777 20 days |
| 42679 |
Raph-DG author:Raph-DG |
feat(Topology): induction principals for locally finsupp functions |
In this PR, we write some API connecting finsupp and locallyfinsupp functions, and provide some induction principals which are useful when thinking of locally finsupp functions as divisors.
AI disclosure: this started as a drafty version written by me but I have used AI to edit it quite heavily, enough that I think this deserves the LLM-generated label (of course, I have reviewed the code carefully, but still this is worth keeping in mind).
---
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|
LLM-generated |
442/22 |
Mathlib.lean,Mathlib/Algebra/Group/Subgroup/Finsupp.lean,Mathlib/Data/Finsupp/Ext.lean,Mathlib/Topology/LocallyFinsupp.lean,Mathlib/Topology/LocallyFinsupp/Finsupp.lean |
5 |
2 |
['github-actions', 'mathlib-bors'] |
nobody |
14-41059 14 days ago |
14-41110 14 days ago |
14-41297 14 days |
| 41705 |
kbuzzard author:kbuzzard |
perf: speed up kernel typechecking of some of mathlib's slowest declarations |
This PR changes some of the proofs in mathlib which were slowest to typecheck in the kernel. Typically there is some kind of defeq abuse going on in master, which the elaborator is quick to accept but which the kernel doesn't like, typically resulting in the unfolding of a large amount of stuff. Hopefully all the changes are uncontroversial. The problematic declarations were located with an LLM and changes were also initially written by an LLM but some fixes were complex, and I removed most of these from his PR because they were fiddling with parts of the codebase I didn't know well. I have now gone through everything manually, tidied up, and tested that indeed this is making mathlib quicker in every case.
The added declaration `strictMono_valueGroupEquiv` in `Mathlib/RingTheory/DedekindDomain/AdicValuation.lean` is to tidy up one of the slow proofs. |
LLM-generated |
21/11 |
Mathlib/Algebra/Category/ModuleCat/Sheaf/PushforwardContinuous.lean,Mathlib/Analysis/InnerProductSpace/Adjoint.lean,Mathlib/RingTheory/DedekindDomain/AdicValuation.lean,Mathlib/RingTheory/Etale/Field.lean |
4 |
9 |
['github-actions', 'kbuzzard', 'leanprover-radar', 'mathlib-merge-conflicts', 'metakunt'] |
nobody |
14-38088 14 days ago |
29-33021 29 days ago |
29-33286 29 days |
| 41938 |
rosborn author:rosborn |
chore(Linter/DirectoryDependency): move forbidden directories into a JSON file |
Co-authored-by: Michael Rothgang <rothgang@math.uni-bonn.de>
---
This PR adopts the work from #26088 and #26406.
The JSON file was generated programmatically from the previous hard-coded array and verified to produce an identical relation, with one deliberate exception: the entry ``(`MathlibTest.Header, `Mathlib.Deprecated)`` was dropped.
If this looks good, I can continue work on `allowedImportDirs` and `overrideAllowedImportDirs`.
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|
t-linter
maintainer-merge
|
408/318 |
Mathlib/Tactic/Linter/DirectoryDependency.lean,scripts/README.md,scripts/forbiddenDirs.json |
3 |
15 |
['github-actions', 'grunweg', 'joneugster', 'mathlib-merge-conflicts', 'rosborn'] |
grunweg and joneugster assignee:joneugster assignee:grunweg |
14-37864 14 days ago |
14-41044 14 days ago |
32-43015 32 days |
| 40472 |
karlesmarin author:karlesmarin |
feat(Combinatorics/SimpleGraph): oriented incidence matrix and the La… |
# feat(Combinatorics/SimpleGraph): oriented incidence matrix and the Laplacian factorization
## Summary
Adds the **oriented incidence matrix** of a simple graph and the standard **Gram factorization
of the graph Laplacian**:
- **`SimpleGraph.orientedIncMatrix R : Matrix α (Sym2 α) R`** — in the column of an edge
`e = s(u, w)` with `u < w`: `+1` at row `w` (the larger endpoint), `-1` at row `u`, `0`
elsewhere; columns of non-edges are zero. Orientation induced by a `LinearOrder` on the
vertex type.
- **`SimpleGraph.orientedIncMatrix_mul_transpose`** — `N * Nᵀ = G.lapMatrix R` (= `D − A`).
- Supporting API mirroring `incMatrix`: `orientedIncMatrix_apply`,
`orientedIncMatrix_of_notMem_incidenceSet`, `orientedIncMatrix_mul_self`
(the square of an entry is the unoriented `incMatrix` entry), and the two sign lemmas
`orientedIncMatrix_apply_mul_apply_of_adj` (product of the two endpoint entries = `-1`),
`orientedIncMatrix_apply_add_apply_of_adj` (their sum = `0`), plus
`orientedIncMatrix_apply_mul_apply_of_ne` (vanishing away from the common edge).
## Why
Mathlib has the unoriented `G.incMatrix`, whose Gram matrix is the **signless** Laplacian
`D + A` (`incMatrix_mul_transpose_diag` ff.), and it has `G.lapMatrix = D − A` with its kernel
theory — but no object connecting the two. The oriented incidence matrix is that object, and
`N Nᵀ = D − A` is the factorization behind: positive semidefiniteness of the Laplacian as a
Gram fact, Kirchhoff/matrix-tree determinant arguments (via Cauchy–Binet on the reduced
factorization), and total unimodularity of incidence matrices.
## Design notes
- The fixed smaller→larger orientation is harmless: any orientation gives the same Gram matrix
(each edge contributes `(±1)²` on the diagonal and `(+1)(−1)` off it). This is stated in the
module docstring; no orientation-genericity machinery is introduced.
- The headline proof is entrywise: the diagonal reduces to `sum_incMatrix_apply` (= degree)
through `orientedIncMatrix_mul_self`; an off-diagonal `(u, w)` entry is supported on the
single column `s(u, w)`, handled by `Finset.sum_eq_single` and the sign lemmas.
- `[Ring R]` for the API section (signs need negation); the definition itself only needs
`[Zero R] [One R] [Neg R]`.
## Files / placement
- `Mathlib/Combinatorics/SimpleGraph/OrientedIncMatrix.lean` (new)
- `Mathlib.lean` (+1 import line)
## Verification
- `lake env lean` on the file: clean, zero warnings.
- `#print axioms SimpleGraph.orientedIncMatrix_mul_transpose` → 3 standard axioms.
- The factorization and the downstream matrix-tree chain were validated numerically in exact
arithmetic (SageMath) before formalization.
Downstream context: DOI [10.5281/zenodo.20629746](https://doi.org/10.5281/zenodo.20629746).
|
new-contributor
LLM-generated
|
157/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/OrientedIncMatrix.lean |
2 |
1 |
['github-actions'] |
nobody |
14-37667 14 days ago |
77-24574 77 days ago |
77-24654 77 days |
| 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 |
14-36708 14 days ago |
24-14921 24 days ago |
24-14908 24 days |
| 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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[](https://gitpod.io/from-referrer/)
|
t-analysis
new-contributor
|
168/0 |
Mathlib.lean,Mathlib/Analysis/ODE/Peano.lean |
2 |
2 |
['github-actions'] |
nobody |
14-36200 14 days ago |
14-36759 14 days ago |
30-30965 30 days |
| 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
|
194/3 |
Mathlib.lean,Mathlib/Computability/Primrec/List.lean,Mathlib/Computability/Primrec/Nat.lean,Mathlib/Data/Nat/Log.lean |
4 |
8 |
['eric-wieser', 'github-actions', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
nobody |
14-32018 14 days ago |
14-33902 14 days ago |
61-58355 61 days |
| 36412 |
Timeroot author:Timeroot |
refactor(Topology/Perfect): Change PerfectSpace to be a synonym for NeBot |
Refactor PerfectSpace to be, equivalently, just `forall (x : α) : Filter.NeBot (𝓝[≠] x)`.
See [#mathlib4 > Changing PerfectSpace](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Changing.20PerfectSpace/with/575568102) for discussion
This is unmodified output from @Aristotle-Harmonic !
[](https://gitpod.io/from-referrer/)
Co-authored-by: Aristotle (Harmonic) <aristotle-harmonic@harmonic.fun>
|
t-topology
LLM-generated
|
56/52 |
Mathlib/Analysis/Normed/Field/Basic.lean,Mathlib/Analysis/Normed/Module/RCLike/Real.lean,Mathlib/Topology/Algebra/Module/Basic.lean,Mathlib/Topology/Algebra/Module/PerfectSpace.lean,Mathlib/Topology/Compactification/OnePoint/Basic.lean,Mathlib/Topology/Perfect.lean,Mathlib/Topology/Separation/Connected.lean |
7 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
14-26069 14 days ago |
14-30435 14 days ago |
14-32979 14 days |
| 39524 |
FordUniver author:FordUniver |
feat(MeasureTheory/Integral/CurveIntegral): integrability and FTC along a line segment |
Specialises curve integration to the line segment between two points: smoothness of the segment as a `C¹` curve, sufficient conditions for a continuous one-form to be integrable along a segment, and a fundamental-theorem-of-calculus identity for the segment integral of a Fréchet derivative. Adds a new `Segment` section to `AffineMap.lean` that includes some previously existing results.
---
Used by a [planned descent-lemma PR for Lipschitz-smooth functions](https://github.com/FordUniver/mathlib4/blob/5ebc6dae88deb11410d21c0a2628f53c092bb536/Mathlib/Analysis/Calculus/LipschitzSmooth/FDeriv.lean#L133), which needs an FTC along an affine line to integrate a directional derivative over a segment. Three points to highlight:
1. I thought about renaming `curveIntegrable_segment` to `curveIntegrable_segment_iff` for consistency with the file's other `_iff`-suffixed biconditionals, but the new `_const` takes a different name slot, so the rename would be an unnecessary public API break.
2. `Path.segment_contDiffOn` is really a fact about `Path.segment` rather than about curve integration, so it would more naturally live in `Convex/PathConnected.lean`. Unfortunately that target is blocked by a build cycle (`Calculus.AddTorsor.AffineMap` already transitively imports `Convex.PathConnected` via `Convex.Topology`/`Convex.StdSimplex`), so it sits with its consumer here.
3. The new `Continuous{,On}.curveIntegrable_segment` lemmas are the obvious `@[fun_prop]` candidates, but `CurveIntegrable` isn't a registered `fun_prop` concept yet; that registration is a small design call (identity/constant/composition choices, plus tagging the file's pre-existing producers) worth its own focused review and is deferred to a follow-up. `Path.segment_contDiffOn` carries the tag since `ContDiffOn` is already registered.
- [x] depends on: #39206
Diff for the changes *just* in this PR over its predecessor: [link](https://github.com/FordUniver/mathlib4/compare/feat/lineMap-contDiff...feat/curveIntegral-segment-FTC) |
t-measure-probability |
51/13 |
Mathlib/MeasureTheory/Integral/CurveIntegral/Basic.lean |
1 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
RemyDegenne assignee:RemyDegenne |
14-20289 14 days ago |
14-20289 14 days ago |
55-52740 55 days |
| 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
|
369/3 |
Mathlib/ModelTheory/Definability.lean,Mathlib/ModelTheory/Semantics.lean,Mathlib/ModelTheory/Syntax.lean |
3 |
9 |
['Timeroot', 'github-actions', 'mathlib-merge-conflicts', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'staroperator'] |
nobody |
14-16852 14 days ago |
14-17469 14 days ago |
17-21148 17 days |
| 36218 |
Brian-Nugent author:Brian-Nugent |
feat(CategoryTheory): Add exact sequences for Sheaf Cohomology |
In this PR, I add the long exact sequence for sheaf cohomology as well as prove that it is functorial. Since sheaf cohomology is defined in terms of `Ext`, this is done using the covariant sequence for `Ext`.
---
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[](https://gitpod.io/from-referrer/)
|
t-category-theory |
238/1 |
Mathlib.lean,Mathlib/Algebra/Homology/SpectralObject/Page.lean,Mathlib/CategoryTheory/ComposableArrows/Basic.lean,Mathlib/CategoryTheory/Sites/SheafCohomology/ExactSequences.lean |
4 |
42 |
['Brian-Nugent', 'dagurtomas', 'github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
robin-carlier assignee:robin-carlier |
14-16433 14 days ago |
19-27299 19 days ago |
68-38916 68 days |
| 42690 |
gasparattila author:gasparattila |
feat: lemmas about `edist` on `ℝ≥0∞` |
---
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[](https://gitpod.io/from-referrer/)
|
t-topology |
66/10 |
Mathlib/Topology/EMetricSpace/Weak.lean |
1 |
6 |
['felixpernegger', 'gasparattila', 'github-actions'] |
nobody |
14-7097 14 days ago |
14-7670 14 days ago |
14-24135 14 days |
| 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
easy
label:t-algebra$ |
14/0 |
Mathlib/Algebra/Ring/GeomSum.lean |
1 |
4 |
['github-actions', 'matt-w-horn'] |
nobody |
14-3875 14 days ago |
14-5038 14 days ago |
14-5025 14 days |
| 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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|
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 |
3 |
['gasparattila', 'github-actions', 'plp127'] |
nobody |
14-3668 14 days ago |
14-12889 14 days ago |
14-50793 14 days |
| 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
|
229/6 |
Mathlib.lean,Mathlib/Algebra/Star/CHSH.lean,Mathlib/Analysis/Matrix/CHSH.lean |
3 |
8 |
['github-actions', 'stalex444', 'vihdzp'] |
nobody |
14-2027 14 days ago |
40-82040 40 days ago |
40-82027 40 days |
| 42091 |
felixpernegger author:felixpernegger |
chore(RingTheory): fix `backward.inferInstanceAs.wrap.data` exception |
I am not sure why this works, but specifying the proof (rather def?) `Ideal.Quotient.algebraQuotientMapQuotient` resolves the necessity of the exception.
The `unfold ResidueField` is not necessarily needed. Also, `infer_instance` etc, does not work even after unfolding.
---
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|
t-ring-theory
tech debt
|
2/2 |
Mathlib/RingTheory/Unramified/LocalRing.lean |
1 |
5 |
['FrankieNC', 'felixpernegger', 'github-actions', 'leanprover-radar'] |
nobody |
14-105 14 days ago |
14-774 14 days ago |
32-15818 32 days |
| 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 |
13-83316 13 days ago |
13-84656 13 days ago |
26-1978 26 days |
| 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'] |
joelriou assignee:joelriou |
13-81451 13 days ago |
64-57203 64 days ago |
64-57190 64 days |
| 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'] |
RemyDegenne assignee:RemyDegenne |
13-81446 13 days ago |
49-4499 49 days ago |
49-4486 49 days |
| 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 |
256/0 |
Mathlib.lean,Mathlib/NumberTheory/AdditionChain.lean,docs/references.bib |
3 |
1 |
['github-actions'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
13-81442 13 days ago |
16-23110 16 days ago |
20-9927 20 days |
| 42480 |
SnirBroshi author:SnirBroshi |
feat(Order/SuccPred/Limit): small theorems and generalizations |
Generalizes `IsSucc[Pre]limit.isLUB_Iio` from `LinearOrder` to `SemilatticeInf`,
and `IsSuccLimit.sSup_Iio` from `ConditionallyCompleteLinearOrderBot` to `ConditionallyCompleteLattice`.
---
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t-order |
64/26 |
Mathlib/Order/Cover.lean,Mathlib/Order/SuccPred/CompleteLinearOrder.lean,Mathlib/Order/SuccPred/Limit.lean,Mathlib/SetTheory/Cardinal/Cofinality/Enum.lean,Mathlib/SetTheory/ZFC/VonNeumann.lean,Mathlib/Topology/Order/AtTopBotIxx.lean,Mathlib/Topology/Order/Completion.lean |
7 |
13 |
['SnirBroshi', 'github-actions', 'vihdzp'] |
nobody |
13-80387 13 days ago |
13-82879 13 days ago |
20-84074 20 days |
| 41864 |
kebekus author:kebekus |
feat: estimate for logarithmic counting functions |
In preparation to the proof of the "Lemma of Logarithmic Derivatives" of Value Distribution Theory, establish the standard "Counting Estimate" for the logarithmic counting function. Simplify and streamline the API for restrictions of divisors a little.
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-topology
tech debt
LLM-generated
|
124/15 |
Mathlib/Analysis/Complex/ValueDistribution/FirstMainTheorem.lean,Mathlib/Analysis/Complex/ValueDistribution/LogCounting/Basic.lean,Mathlib/Topology/LocallyFinsupp.lean |
3 |
1 |
['github-actions'] |
nobody |
13-58588 13 days ago |
13-59198 13 days ago |
40-17374 40 days |
| 42581 |
SnirBroshi author:SnirBroshi |
chore(LinearAlgebra/Dimension/LinearMap): generalize rank sub-additivity from `DivisionRing` to `HasRankNullity` |
Separated `rank_add_le` & `rank_finsetSum_le` to a new `section` that assumes `Ring` + `HasRankNullity` instead of `DivisionRing`.
Also renamed the `Ring` section to `Semiring` since that's what it contains.
---
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|
t-algebra
easy
label:t-algebra$ |
13/5 |
Mathlib/LinearAlgebra/Dimension/LinearMap.lean |
1 |
1 |
['github-actions'] |
nobody |
13-55163 13 days ago |
18-5536 18 days ago |
18-5523 18 days |
| 42504 |
yuanyi-350 author:yuanyi-350 |
feat(Analysis/Calculus): add Euler's theorem for homogeneous functions |
Add a local, vector-valued version of [Euler's homogeneous function theorem](https://en.wikipedia.org/wiki/Homogeneous_function#Euler's_theorem).
Assume `f (t • x) = w t • f x` for `t` near `1`. If `f` has Fréchet derivative `f'` at `x` and `w` has derivative `w'` at `1`, conclude `f' x = w' • f x`. This formulation works over an arbitrary nontrivially normed field and for functions between normed spaces.
Also provide a corollary under the global homogeneity condition `∀ t y, f (t • y) = w t • f y`, and register both declarations in `docs/1000.yaml`. |
t-analysis |
45/4 |
Mathlib/Analysis/Calculus/LineDeriv/Basic.lean,docs/1000.yaml |
2 |
2 |
['Ruben-VandeVelde', 'github-actions'] |
nobody |
13-54693 13 days ago |
14-42696 14 days ago |
20-20127 20 days |
| 42699 |
FrankieNC author:FrankieNC |
chore: remove two more `backward.inferInstanceAs.wrap.data` exceptions |
This removes two of the last four `set_option backward.inferInstanceAs.wrap.data false` exceptions from the technical debt counter by using the `@[instance_reducible]` tag.
The `set_option` was stopping the deriving handler from hiding the copied `CoeFun.coe`/`CoeSort.coe` fields behind opaque `._aux_1` constants, which no simp lemma matches. The tag achieves the same by letting the synonyms unfold in the handler's type check (done at `instances` transparency), so the derived instances come out with the same names and values as before.
- `Mathlib/CategoryTheory/Skeletal.lean`: tag `Skeleton` with `@[instance_reducible]`.
- `Mathlib/Algebra/DirectSum/Basic.lean`: swap `@[implicit_reducible]` for `@[instance_reducible]` on `DirectSum` (`implicit` sits above `instances`, so the old tag was not enough).
The remaining two exceptions are handled in separate PRs: #42085 (`Mathlib/Algebra/Category/MonCat/Limits.lean`) and #42091 (`Mathlib/RingTheory/Unramified/LocalRing.lean`).
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|
tech debt |
2/4 |
Mathlib/Algebra/DirectSum/Basic.lean,Mathlib/CategoryTheory/Skeletal.lean |
2 |
9 |
['FrankieNC', 'felixpernegger', 'github-actions', 'jcommelin', 'leanprover-radar'] |
nobody |
13-48975 13 days ago |
13-50989 13 days ago |
14-6279 14 days |
| 42719 |
justinhalford author:justinhalford |
feat(LinearAlgebra/BilinearForm): totally isotropic subspaces have dimension at most half |
Adds one lemma to `Mathlib/LinearAlgebra/BilinearForm/Orthogonal.lean`:
```lean
lemma two_mul_finrank_le_of_le_orthogonal (hB : B.Nondegenerate) {W : Submodule K V}
(hW : W ≤ B.orthogonal W) : 2 * finrank K W ≤ finrank K V
```
A subspace contained in its own orthogonal complement — a *totally isotropic* subspace — has dimension at most half the dimension of the ambient space, when `B` is nondegenerate.
### Why
This is the standard dimension bound underlying the Witt decomposition, and it is the missing step in a number of applications: the Eventown theorem in extremal combinatorics, bounds on self-orthogonal linear codes, and dimension bounds for isotropic subspaces of quadratic forms. Searching for `totally isotropic` / `IsotropicSubmodule` / `isTotallyIsotropic` in Mathlib returns nothing, so as far as I can tell the bound is not currently available in any form.
The hypothesis is deliberately phrased as `W ≤ B.orthogonal W` rather than introducing a new `IsTotallyIsotropic` predicate, so that it composes directly with the existing `orthogonal` API and needs no new definitions.
### Proof
Three existing lemmas and arithmetic: `Submodule.finrank_mono` on the hypothesis, `finrank_orthogonal` (immediately above it in the same file), and `Submodule.finrank_le`. It sits directly after `finrank_orthogonal`, whose statement it consumes.
### Verification
Compiles against `master` with no errors or warnings. `#print axioms` reports only `[propext, Classical.choice, Quot.sound]`. No new imports, no new definitions — `+9 -0` in a single file.
### Disclosure
Written with AI assistance (Claude Opus 5) and checked against the Lean kernel; I have read the statement and proof through before submitting. Happy to rename or restate as maintainers prefer — in particular if there is an appetite for an `IsTotallyIsotropic` predicate, I am glad to add one and state this in those terms instead.
### Related
Companion to #42718 (the linear algebra method and Oddtown), which will use this bound for the Eventown theorem, but the two are independent and this one stands alone.
|
t-algebra
new-contributor
label:t-algebra$ |
9/0 |
Mathlib/LinearAlgebra/BilinearForm/Orthogonal.lean |
1 |
2 |
['github-actions'] |
nobody |
13-47323 13 days ago |
13-47931 13 days ago |
13-47918 13 days |
| 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 |
2 |
['github-actions'] |
nobody |
13-45733 13 days ago |
13-47494 13 days ago |
13-47481 13 days |
| 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 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
13-44969 13 days ago |
13-45789 13 days ago |
44-35295 44 days |
| 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 |
13-44224 13 days ago |
13-48708 13 days ago |
13-48695 13 days |
| 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.
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$ |
50/0 |
Mathlib/Algebra/Homology/DerivedCategory/Ext/Linear.lean |
1 |
2 |
['github-actions', 'mathlib-bors'] |
nobody |
13-42020 13 days ago |
13-42020 13 days ago |
13-49455 13 days |
| 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.
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.]
This PR is a pure addition: nothing is removed and no existing signature changes. `TopologicalSpace.Opens.CompleteCopy` and `IsOpen.polishSpace` are untouched, so the open case is still proved independently rather than derived from this result.
---
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'] |
nobody |
13-29506 13 days ago |
14-20279 14 days ago |
14-20266 14 days |
| 42737 |
Jack1320 author:Jack1320 |
feat(Algebra/Order/Kleene): add Kleene algebra instances for MulOppos… |
Add IdemSemiring, IdemCommSemiring, and KleeneAlgebra instances for MulOpposite, AddOpposite, and ULift, partially addressing #7987.
In accordance to the AI disclosure guidelines - Claude was used as a learning aid, but all code is personally written and reasoned through.
The remaining instances (Subsemiring, Subring, Subalgebra) are deferred to a follow-up PR.
|
t-algebra
new-contributor
label:t-algebra$ |
100/2 |
Mathlib/Algebra/Order/Kleene.lean |
1 |
2 |
['github-actions'] |
nobody |
13-24705 13 days ago |
13-26724 13 days ago |
13-28059 13 days |
| 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 |
37/64 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/Constructions.lean |
2 |
1 |
['github-actions'] |
nobody |
13-22443 13 days ago |
15-10106 15 days ago |
15-10093 15 days |
| 42706 |
felixpernegger author:felixpernegger |
feat(Topology): generalise Lipschitz to `WeakPseudoEMetricSpace` |
The definition of `LipschitzWith` itself, I changed to only require `EDist`, since that is all that being used
(a few generalizations about continuity were made by Codex, but this PR is largely done by hand, so i wouldnt call it LLM generated)
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[](https://gitpod.io/from-referrer/)
|
t-topology |
89/68 |
Mathlib/Topology/EMetricSpace/Lipschitz.lean,Mathlib/Topology/MetricSpace/Antilipschitz.lean |
2 |
6 |
['felixpernegger', 'gasparattila', 'github-actions', 'mathlib-dependent-issues'] |
nobody |
13-19453 13 days ago |
13-20116 13 days ago |
13-20426 13 days |
| 42483 |
bocowgill author:bocowgill |
feat(Topology/MetricSpace/HausdorffDistance): characterize joint minimizers via infDist |
This PR adds two results connecting a generic pseudometric-space profiling principle with orthogonal projection in an inner-product space.
- `Metric.exists_forall_dist_le_iff_forall_infDist_le` gives a generic pseudometric-space attainment/profiling theorem. Assuming the distance from `a` to `U` is attained, it characterizes when `a` can be paired with some `u ∈ U` whose distance is no greater than the distance between any pair in `A × U`. This is possible precisely when `Metric.infDist a U ≤ Metric.infDist a' U` for every `a' ∈ A`. When `a ∈ A`, this characterizes joint minimizers over `A × U`.
- `Submodule.norm_starProjection_orthogonal_eq_infDist` identifies the norm of the orthogonal projection onto `Uᗮ` with the point-to-set distance `Metric.infDist y U`, providing a bridge between the inner-product-space projection API and the generic pseudometric-space theorem.
A later intended application is partialling-out and the Frisch–Waugh–Lovell theorem. There, one can specialize the comparison set and distinguished point to
`A = Set.range (fun z' ↦ y - f z')`
and
`a = y - f z`,
and use the projection-to-`infDist` bridge to translate between orthogonal-residual norms and the generic profiling theorem. The regression-parameterized specialization itself is not part of this PR.
---
### Motivation
These lemmas separate the general profiling argument from the inner-product-space structure used in orthogonal-projection applications.
- The pseudometric-space result shows that, when the distance from `a` to `U` is attained, the `U` variable can be profiled out: finding a pair `(a, u)` whose distance is bounded by every pair in `A × U` reduces to comparing `Metric.infDist a U` with `Metric.infDist a' U` for every `a' ∈ A`. When `a ∈ A`, this is a joint-minimization characterization.
- The inner-product-space result identifies the norm of the orthogonal residual with `Metric.infDist`, providing the bridge needed to apply the generic profiling theorem to orthogonal-projection problems.
This separation is intended to support later formalizations of least squares, regression, and partialling-out/FWL arguments while keeping the profiling theorem independent of linear structure and of any particular parameterization of the comparison set.
### LLM disclosure
For theorem planning and Lean implementation, I used OpenAI Codex substantially. I also used it for suggestions around naming and documentation, for iterating on the proofs, responding to review feedback, and validating my commits locally.
I manually searched for the best locations and earlier results to build upon. I personally reviewed 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 two theorems' proofs.
For the current revision, I ran targeted builds of `Mathlib.Topology.MetricSpace.HausdorffDistance` and `Mathlib.Analysis.InnerProductSpace.Projection.Basic`, as well as the style linter and the environment linter. I performed a `git diff --check`. I also inspected the inferred declaration signatures and axiom dependencies, and compiled a scratch proof recovering the original regression-parameterized statement from the new generic pseudometric-space theorem. Earlier in development, before the reviewer-driven refactor, I also completed a full `lake build` and a full `lake test`.
Please note: This is one of my earliest 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-analysis
LLM-generated
new-contributor
|
29/0 |
Mathlib/Analysis/InnerProductSpace/Projection/Basic.lean,Mathlib/Topology/MetricSpace/HausdorffDistance.lean |
2 |
13 |
['bocowgill', 'github-actions', 'j-loreaux', 'wwylele'] |
nobody |
13-18966 13 days ago |
13-18966 13 days ago |
20-34489 20 days |
| 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 |
13-6186 13 days ago |
22-27619 22 days ago |
24-69126 24 days |
| 42748 |
harahu author:harahu |
chore(LinearAlgebra): tidy markdown headers |
Ensure that files in `Mathlib/LinearAlgebra` have one and only one H1 header. Also align some H2 headers with the documentation style guide.
Newly authored headers were authored by Claude Opus 5.
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|
t-algebra label:t-algebra$ |
11/7 |
Mathlib/LinearAlgebra/Matrix/Gershgorin.lean,Mathlib/LinearAlgebra/Prod.lean,Mathlib/LinearAlgebra/Projectivization/PSL/PSL2.lean,Mathlib/LinearAlgebra/Quotient/Card.lean,Mathlib/LinearAlgebra/RootSystem/Finite/Nondegenerate.lean,Mathlib/LinearAlgebra/TensorPower/Symmetric.lean |
6 |
1 |
['github-actions'] |
nobody |
12-86035 12 days ago |
13-1703 13 days ago |
13-1690 13 days |
| 42749 |
kim-em author:kim-em |
feat(RingTheory/Bialgebra): expose (Add)MonoidAlgebra.liftMulEquiv |
This PR marks `MonoidAlgebra.liftMulEquiv` and `AddMonoidAlgebra.liftMulEquiv`
`@[expose, simps!]`, matching `mapDomainBialgHomMulEquiv` in the same file, which
is built the same way out of an equivalence composed with `WithConv.equiv` and
already carries both attributes. Without them the definitions are opaque
downstream: their bodies cannot be unfolded, and no lemma computes their
application or the application of their inverse, so `liftMulEquiv` cannot be
related to `lift` outside this file.
🤖 Prepared with Claude Code |
t-ring-theory |
2/0 |
Mathlib/RingTheory/Bialgebra/MonoidAlgebra.lean |
1 |
1 |
['github-actions'] |
nobody |
12-85458 12 days ago |
12-85458 12 days ago |
12-85445 12 days |
| 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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---
*This PR continues the work from #20240.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/20240* |
t-combinatorics |
244/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Extremal/KovariSosTuran.lean,docs/1000.yaml |
3 |
13 |
['SnirBroshi', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'mitchell-horner'] |
b-mehta assignee:b-mehta |
12-81460 12 days ago |
39-48236 39 days ago |
77-39248 77 days |
| 27493 |
themathqueen author:themathqueen |
feat(RingTheory): define Frobenius equations (`Coalgebra.IsFrobenius`) |
A coalgebra with an algebra structure `A` is said to be Frobenius when it satisfies the Frobenius equation:
`(id ⊗ mul) ∘ assoc ∘ (comul ⊗ id) = comul ∘ mul = (mul ⊗ id) ∘ assoc.symm ∘ (id ⊗ comul)`,
which in diagrams looks like
```
| | | |
| μ | | μ |
| / \ \ / / \ |
\ / | = δ ∘ μ = | \ /
δ | / \ | δ
| | | | | |
```
where `μ` stands for multiplication and `δ` for comultiplication.
It suffices to show that the left and right diagrams are equal, i.e.,
`(id ⊗ mul) ∘ assoc ∘ (comul ⊗ id) = (mul ⊗ id) ∘ assoc.symm ∘ (id ⊗ comul)`, so this is the only equality in the class.
Because of how long and complicated the names would be, we add abbreviations for the left and right equations, `IsFrobenius.left` and `IsFrobenius.right`. So the Frobenius equation is literally `left_eq_right : IsFrobenius.left = IsFrobenius.right`.
A Frobenius coalgebra is necessarily finite and projective. Also, the bilinear form `(LinearMap.mul R A).compr₂ counit` is nondegenerate and bijective.
A `Bialgebra R A` that is Frobenius must have `R` isomorphic to `A`.
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- [x] depends on: #27569
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|
t-ring-theory |
265/0 |
Mathlib.lean,Mathlib/RingTheory/Coalgebra/IsFrobenius.lean |
2 |
38 |
['JonBannon', 'Julian-Kuelshammer', 'YaelDillies', 'erdOne', 'github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'riccardobrasca', 'themathqueen', 'wwylele'] |
joneugster assignee:joneugster |
12-81459 12 days ago |
35-15412 35 days ago |
138-57416 138 days |
| 40368 |
Sanghyeok0 author:Sanghyeok0 |
feat: add confluence predicates for relations |
This PR adds a minimal relation-level API for confluence-style properties:
* `Relation.Diamond`
* `Relation.Confluent`
* `Relation.ChurchRosser`
It also adds the basic API connecting these predicates:
* `Relation.ReflTransGen.to_eqvGen`
* `Relation.Join.to_eqvGen`
* `Relation.ChurchRosser.confluent`
* `Relation.Confluent.churchRosser`
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*.
---
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|
t-logic
new-contributor
|
79/5 |
Mathlib/Logic/Relation.lean |
1 |
8 |
['Sanghyeok0', 'chenson2018', 'github-actions', 'mathlib-merge-conflicts'] |
fpvandoorn assignee:fpvandoorn |
12-81457 12 days ago |
38-39341 38 days ago |
61-51119 61 days |
| 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'] |
urkud assignee:urkud |
12-81457 12 days ago |
56-737 56 days ago |
56-724 56 days |
| 41420 |
joelriou author:joelriou |
feat(CategoryTheory/Presentable): preservation of `κ`-pure morphisms by `κ`-accessible functors |
---
- [x] depends on: #41200
- [x] depends on: #41190
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|
t-category-theory |
47/2 |
Mathlib/CategoryTheory/Presentable/CardinalPure.lean |
1 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
robin-carlier assignee:robin-carlier |
12-81456 12 days ago |
13-46017 13 days ago |
13-46005 13 days |
| 42145 |
mckoen author:mckoen |
feat(CategoryTheory/Monoidal/Rigid): the double right dual functor is monoidal |
Defines the double right dual functor on a right rigid category, sending `X ↦ Xᘁᘁ`. We show that this functor is monoidal, so that in future PRs (#42150) we can define pivotal categories (rigid categories with a *monoidal* natural isomorphism between the double right dual and the identity).
Currently adds some new API which applies only to right duals. I'm not sure this should be dualized to left duals, as this could bloat the already large Rigid/Basic file
---
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|
t-category-theory |
286/10 |
Mathlib/CategoryTheory/Monoidal/Opposite.lean,Mathlib/CategoryTheory/Monoidal/Rigid/Basic.lean,Mathlib/CategoryTheory/Monoidal/Rigid/Braided.lean,Mathlib/CategoryTheory/Monoidal/Rigid/Functor.lean |
4 |
6 |
['github-actions', 'joelriou', 'kim-em', 'mckoen'] |
robin-carlier assignee:robin-carlier |
12-81452 12 days ago |
15-13014 15 days ago |
24-59546 24 days |
| 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'] |
kex-y assignee:kex-y |
12-81446 12 days ago |
13-30529 13 days ago |
13-30516 13 days |
| 34963 |
Parcly-Taxel author:Parcly-Taxel |
feat(Archive): proof of the Robbins conjecture |
Cf. [#mathlib4 > Alternative axiomatization of boolean algebras @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Alternative.20axiomatization.20of.20boolean.20algebras/near/558900960) and #31924. |
t-algebra label:t-algebra$ |
618/0 |
Archive.lean,Archive/Robbins.lean |
2 |
3 |
['chrisflav', 'github-actions', 'mathlib-merge-conflicts'] |
chrisflav assignee:chrisflav |
12-73858 12 days ago |
12-74384 12 days ago |
84-40799 84 days |
| 42674 |
theebayuser author:theebayuser |
feat(Geometry/Euclidean): add the geometric mean theorem |
Hello, this PR adds the geometric mean theorem to
Mathlib/Geometry/Euclidean/Angle/Unoriented/RightAngle.lean, with the iff form and
the leg form, and records it in docs/1000.yaml (Q2226868). Statements use ^ 2
per review guidance on #42518.
This PR was written with AI assistance (Claude Code)
|
t-euclidean-geometry
new-contributor
LLM-generated
|
46/1 |
Mathlib/Geometry/Euclidean/Angle/Unoriented/RightAngle.lean,docs/1000.yaml |
2 |
6 |
['github-actions', 'theebayuser', 'wwylele'] |
jsm28 assignee:jsm28 |
12-73690 12 days ago |
14-63370 14 days ago |
14-63357 14 days |
| 41101 |
YaelDillies author:YaelDillies |
feat(Data/{ENat,ENNReal,EReal}): missing coercion lemmas |
From MeanFourier
---
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|
t-data |
30/0 |
Mathlib/Data/ENat/Monoid.lean,Mathlib/Data/EReal/Basic.lean,Mathlib/Data/Real/ENatENNReal.lean |
3 |
10 |
['YaelDillies', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
12-62894 12 days ago |
12-65367 12 days ago |
55-71279 55 days |
| 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 |
12-57235 12 days ago |
12-57768 12 days ago |
27-71097 27 days |
| 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 |
12-55486 12 days ago |
12-55486 12 days ago |
18-53749 18 days |
| 42646 |
mo271 author:mo271 |
feat(Algebra/Group/Action/Pointwise/Set/Basic): `mul_mem_smul_set` |
Ported from the ForMathlib dir of Formal Conjectures.
Original PR
https://github.com/google-deepmind/formal-conjectures/pull/1439
Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
---
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|
|
9/9 |
Mathlib/Algebra/Group/Action/Pointwise/Set/Basic.lean,Mathlib/ModelTheory/Arithmetic/Presburger/Semilinear/Defs.lean |
2 |
3 |
['github-actions', 'mo271'] |
nobody |
12-55042 12 days ago |
12-57224 12 days ago |
12-58902 12 days |
| 41542 |
tb65536 author:tb65536 |
refactor(AlgebraicGeometry/Sites/Small): golf and remove some `backward.isDefEq.respectTransparency` |
This PR golfs and removes some `backward.isDefEq.respectTransparency`. Some proofs with the help of Claude, with further golfing by myself.
---
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|
t-category-theory
tech debt
LLM-generated
|
59/135 |
Mathlib/AlgebraicGeometry/Sites/Small.lean,Mathlib/CategoryTheory/Sites/Over.lean |
2 |
7 |
['dagurtomas', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts', 'tb65536'] |
nobody |
12-51154 12 days ago |
12-51889 12 days ago |
46-45316 46 days |
| 42705 |
artie2000 author:artie2000 |
refactor(Data/SetLike): make second parameter of `*.ofSetLike` implicit |
* Make second parameter of `LE.ofSetLike` and `PartialOrder.ofSetLike` implicit.
These constructors take a `SetLike A B` typeclass, in which `B`, being an `outParam`, is determined by `A`. Therefore we do not need to pass `B` explicitly.
---
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|
t-data |
85/85 |
Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean,Mathlib/Algebra/Algebra/Subalgebra/Basic.lean,Mathlib/Algebra/Field/Subfield/Defs.lean,Mathlib/Algebra/Group/Subgroup/Defs.lean,Mathlib/Algebra/Group/Submonoid/Defs.lean,Mathlib/Algebra/Group/Submonoid/Saturation.lean,Mathlib/Algebra/Group/Subsemigroup/Defs.lean,Mathlib/Algebra/Lie/Subalgebra.lean,Mathlib/Algebra/Lie/Submodule.lean,Mathlib/Algebra/LieRinehartAlgebra/Subalgebra.lean,Mathlib/Algebra/Module/Submodule/Defs.lean,Mathlib/Algebra/Order/Group/Cone.lean,Mathlib/Algebra/Order/Ring/Cone.lean,Mathlib/Algebra/Order/Ring/Ordering/Defs.lean,Mathlib/Algebra/Ring/Subring/Defs.lean,Mathlib/Algebra/Ring/Subsemiring/Defs.lean,Mathlib/Algebra/Star/NonUnitalSubalgebra.lean,Mathlib/Algebra/Star/Subalgebra.lean,Mathlib/Algebra/Star/Subsemiring.lean,Mathlib/Analysis/Convex/Body.lean,Mathlib/Analysis/Convex/Cone/Basic.lean,Mathlib/Analysis/VonNeumannAlgebra/Basic.lean,Mathlib/CategoryTheory/Groupoid/Subgroupoid.lean,Mathlib/Combinatorics/SimpleGraph/Ends/Defs.lean,Mathlib/Combinatorics/Young/YoungDiagram.lean,Mathlib/Data/Finset/Defs.lean,Mathlib/Data/Set/PowersetCard.lean,Mathlib/Data/SetLike/Basic.lean,Mathlib/Data/Sym/Sym2.lean,Mathlib/FieldTheory/IntermediateField/Basic.lean,Mathlib/Geometry/Convex/Cone/Basic.lean,Mathlib/Geometry/Convex/Cone/Face/Lattice.lean,Mathlib/GroupTheory/FiniteIndexNormalSubgroup.lean,Mathlib/GroupTheory/GroupAction/SubMulAction.lean,Mathlib/GroupTheory/Sylow.lean,Mathlib/LinearAlgebra/AffineSpace/AffineSubspace/Defs.lean,Mathlib/LinearAlgebra/Projectivization/Subspace.lean,Mathlib/ModelTheory/Definability.lean,Mathlib/ModelTheory/ElementarySubstructures.lean,Mathlib/ModelTheory/Substructures.lean,Mathlib/ModelTheory/Types.lean,Mathlib/Order/BooleanSubalgebra.lean,Mathlib/Order/BourbakiWitt.lean,Mathlib/Order/CompleteSublattice.lean,Mathlib/Order/Ideal.lean,Mathlib/Order/PFilter.lean,Mathlib/Order/Preorder/Chain.lean,Mathlib/Order/Sublattice.lean,Mathlib/Order/Sublocale.lean,Mathlib/Order/UpperLower/Relative.lean,Mathlib/RepresentationTheory/Subrepresentation.lean,Mathlib/RingTheory/DividedPowers/SubDPIdeal.lean,Mathlib/RingTheory/FractionalIdeal/Basic.lean,Mathlib/RingTheory/GradedAlgebra/Homogeneous/Ideal.lean,Mathlib/RingTheory/GradedAlgebra/Homogeneous/Submodule.lean,Mathlib/RingTheory/GradedAlgebra/Homogeneous/Subsemiring.lean,Mathlib/RingTheory/NonUnitalSubring/Defs.lean,Mathlib/RingTheory/NonUnitalSubsemiring/Defs.lean,Mathlib/RingTheory/TwoSidedIdeal/Basic.lean,Mathlib/RingTheory/Valuation/ValuationSubring.lean,Mathlib/SetTheory/ZFC/Basic.lean,Mathlib/Topology/Algebra/Group/ClosedSubgroup.lean,Mathlib/Topology/Algebra/Module/ClosedSubmodule.lean,Mathlib/Topology/Algebra/OpenSubgroup.lean,Mathlib/Topology/CWComplex/Classical/Basic.lean,Mathlib/Topology/Sets/Closeds.lean,Mathlib/Topology/Sets/Compacts.lean,Mathlib/Topology/Sets/Opens.lean,Mathlib/Topology/Sets/Order.lean,MathlibTest/FBinop.lean |
70 |
1 |
['github-actions'] |
nobody |
12-48340 12 days ago |
12-51145 12 days ago |
12-53235 12 days |
| 41401 |
vlad902 author:vlad902 |
feat(RingTheory): `Ideal.span` corollaries of Krull's height theorem |
Currently we have statements bounding the height of minimal primes of `Ideal.span S`. Add the obvious corollaries to bound the height of `Ideal.span S` directly.
Also add a `Set.encard`-valued statement of Krull's height theorem. In a Noetherian ring we know the bound should always be finite, but this is useful in downstream applications that are using `ENat`.
---
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|
t-ring-theory |
26/1 |
Mathlib/RingTheory/Ideal/KrullsHeightTheorem.lean |
1 |
1 |
['github-actions'] |
nobody |
12-47875 12 days ago |
51-52040 51 days ago |
51-52488 51 days |
| 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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- [x] depends on: #41476
[](https://gitpod.io/from-referrer/)
|
large-import
t-combinatorics
|
37/31 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean |
1 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
12-40431 12 days ago |
12-42635 12 days ago |
12-46395 12 days |
| 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 |
['github-actions'] |
nobody |
12-38352 12 days ago |
12-38950 12 days ago |
12-38937 12 days |
| 41427 |
YaelDillies author:YaelDillies |
refactor(Algebra/MvPolynomial): delete `coeff` |
... without a deprecation because we want dot notation to resolve to `AddMonoidAlgebra.coeff`.
For migration, replace bare `MvPolynomial.coeff`s with `AddMonoidAlgebra.coeff`. Dot notation `.coeff` will resolve to `AddMonoidAlgebra.coeff` without further change. `MvPolynomial.coeff m p` corresponds to `AddMonoidAlgebra.coeff p m`, so you will need to swap arguments. Note further that `AddMonoidAlgebra.coeff p` is bundled as a `Finsupp` while `MvPolynomial.coeff` is a bare function.
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|
tech debt
t-algebra
label:t-algebra$ |
247/242 |
Mathlib/Algebra/MvPolynomial/Basic.lean,Mathlib/Algebra/MvPolynomial/Coeff.lean,Mathlib/Algebra/MvPolynomial/CommRing.lean,Mathlib/Algebra/MvPolynomial/Degrees.lean,Mathlib/Algebra/MvPolynomial/Division.lean,Mathlib/Algebra/MvPolynomial/Equiv.lean,Mathlib/Algebra/MvPolynomial/Eval.lean,Mathlib/Algebra/MvPolynomial/Funext.lean,Mathlib/Algebra/MvPolynomial/Monad.lean,Mathlib/Algebra/MvPolynomial/Nilpotent.lean,Mathlib/Algebra/MvPolynomial/NoZeroDivisors.lean,Mathlib/Algebra/MvPolynomial/PDeriv.lean,Mathlib/Algebra/MvPolynomial/Rename.lean,Mathlib/Algebra/MvPolynomial/Variables.lean,Mathlib/Combinatorics/Nullstellensatz.lean,Mathlib/FieldTheory/AxGrothendieck.lean,Mathlib/FieldTheory/SeparablyGenerated.lean,Mathlib/NumberTheory/Height/MvPolynomial.lean,Mathlib/RingTheory/Extension/Generators.lean,Mathlib/RingTheory/Extension/Presentation/Basic.lean,Mathlib/RingTheory/MvPolynomial/Basic.lean,Mathlib/RingTheory/MvPolynomial/FreeCommRing.lean,Mathlib/RingTheory/MvPolynomial/Groebner.lean,Mathlib/RingTheory/MvPolynomial/Homogeneous.lean,Mathlib/RingTheory/MvPolynomial/IrreducibleQuadratic.lean,Mathlib/RingTheory/MvPolynomial/MonomialOrder.lean,Mathlib/RingTheory/MvPolynomial/WeightedHomogeneous.lean,Mathlib/RingTheory/MvPowerSeries/Basic.lean,Mathlib/RingTheory/MvPowerSeries/Trunc.lean,Mathlib/RingTheory/NoetherNormalization.lean,Mathlib/RingTheory/Polynomial/Basic.lean,Mathlib/RingTheory/Polynomial/IsIntegral.lean,Mathlib/RingTheory/Polynomial/Quotient.lean,Mathlib/RingTheory/Spectrum/Prime/Polynomial.lean,Mathlib/RingTheory/TensorProduct/MvPolynomial.lean |
35 |
12 |
['YaelDillies', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts', 'mathlib-splicebot'] |
nobody |
12-37348 12 days ago |
12-38862 12 days ago |
46-10306 46 days |
| 31892 |
jsm28 author:jsm28 |
feat(Geometry/Euclidean/Sphere/PolePolar): poles and polars |
Define poles and polars for spheres in Euclidean affine spaces, and set up some basic API, including in particular La Hire's theorem (`p₁` lies on the polar of `p₂` if and only if `p₂` lies on the polar of `p₁`).
Poles and polars are actually meaningful for any quadric in a projective space over any field, but I think it's reasonable to set up this theory for spheres in the Euclidean context and potentially link it in future to more general projective geometry.
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|
t-euclidean-geometry
maintainer-merge
|
157/0 |
Mathlib.lean,Mathlib/Geometry/Euclidean/Sphere/PolePolar.lean |
2 |
23 |
['Parcly-Taxel', 'YaelDillies', 'github-actions', 'jsm28', 'kim-em', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'wwylele'] |
nobody |
12-31680 12 days ago |
14-40238 14 days ago |
151-79079 151 days |
| 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'] |
nobody |
12-27788 12 days ago |
45-12905 45 days ago |
46-67594 46 days |
| 36605 |
martinwintermath author:martinwintermath |
feat(Geometry/Convex/Cone): Add lemmas about interaction of hull, span and negation |
Prove lemmas about the interaction of hull, span and negation.
Main additions:
* `PointedCone.toSubmodule` that produces a submodule with the same support given that `-C = C`. Also the corresponding `CanLift`
* `PointedCone.hull_neg_pair_eq_span_singleton` proving `hull R {-x, x} = R ∙ x` (simp lemma)
* `PointedCone.span_eq_hull_neg_sup_hull` proving `span R s = hull R (-s) ⊔ hull R s`
* `PointedCone.mem_span` proving `x ∈ span R C ↔ ∃ p, n ∈ C, x = p - n`
Considerations: there are several ways to express that a convex cone is a submodule:
* `-C = C`
* `-C ≤ C` or `C ≤ -C`
* `C = span R C`
* `C = C.lineal`
The consensus was that the the first option is the most direct way to express this property, which then allows to lift to a submodule.
Co-authored by: Olivia Röhrig, Kilian Rueß, Artie Khovanov
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|
t-convex-geometry |
65/0 |
Mathlib/Geometry/Convex/Cone/Pointed.lean |
1 |
79 |
['YaelDillies', 'artie2000', 'github-actions', 'justus-springer', 'martinwintermath', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
12-17192 12 days ago |
93-11060 93 days ago |
110-11653 110 days |
| 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 |
12-15529 12 days ago |
53-1194 53 days ago |
53-1181 53 days |
| 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>
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|
t-combinatorics |
6/11 |
Mathlib/Combinatorics/SimpleGraph/Girth.lean |
1 |
1 |
['github-actions'] |
nobody |
12-11663 12 days ago |
53-82608 53 days ago |
53-82595 53 days |
| 41610 |
SnirBroshi author:SnirBroshi |
chore(Logic/Relation): golf using `grind` |
Also tag `Relation.map_apply` with `grind =`.
---
- `comp_assoc`: 14ms to 23ms
- `IsTrans.map`: 10ms to 28ms
- `instIsPreorderOfIsTrans`: ? to 11ms
- `total_of_right_unique`: ? to 80ms
- `isTrans_join`: 10ms to 100ms
- `Quot.eqvGen_sound`: ? to ?
- `Equivalence.eqvGen_iff`: ? to 14ms
(the question marks mean that `trace.profiler` doesn't output anything, maybe they're below 1ms?)
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|
t-logic |
17/52 |
Mathlib/Combinatorics/SimpleGraph/Subgraph.lean,Mathlib/Logic/Relation.lean |
2 |
12 |
['SnirBroshi', 'b-mehta', 'chenson2018', 'github-actions', 'grunweg', 'leanprover-radar', 'themathqueen'] |
nobody |
12-4127 12 days ago |
12-7610 12 days ago |
40-20946 40 days |
| 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 |
12-1421 12 days ago |
12-4494 12 days ago |
14-77518 14 days |
| 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'] |
nobody |
12-455 12 days ago |
46-37145 46 days ago |
46-37176 46 days |
| 38310 |
ZRTMRH author:ZRTMRH |
feat(Combinatorics/Quiver/Schreier): word evaluation and reachability |
Adds word evaluation and reachability results to the Schreier graph API.
* `SchreierGraph.evalWord` : evaluates a word `List (S × Bool)` as an element of the ambient group, where `(s, true)` contributes `ι s` and `(s, false)` contributes `(ι s)⁻¹`.
* `SchreierGraph.evalWord_eq_lift` : agreement with `FreeGroup.lift`.
* `SchreierGraph.evalWord_mem_closure` : every word evaluates into the subgroup generated by `ι`.
* `SchreierGraph.pathFromWord` : a Bool-tagged word yields a path in `Symmetrify (SchreierGraph V ι)` from `x` to `evalWord ι w • x`.
* `SchreierGraph.reachable_iff` : two vertices are connected by a path in the symmetrification iff some element of the subgroup closure carries one to the other.
Follow-up to #36320.
This PR was written with AI assistance (Claude). The code has been reviewed by the author.
---
- [x] depends on: #41849
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new-contributor
t-combinatorics
large-import
LLM-generated
maintainer-merge
|
125/0 |
Mathlib/Combinatorics/Quiver/Schreier.lean |
1 |
26 |
['YaelDillies', 'ZRTMRH', 'github-actions', 'mathlib-dependent-issues'] |
nobody |
11-84934 11 days ago |
13-78672 13 days ago |
113-28130 113 days |
| 42757 |
mckoen author:mckoen |
feat(CategoryTheory/Subobject): extend exists and pullback API |
Extends some API for the `exists` and `pullback` functors on `Subobject` and `MonoOver`. This PR exists to split up #41769.
---
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|
t-category-theory |
81/1 |
Mathlib/CategoryTheory/Subobject/Basic.lean,Mathlib/CategoryTheory/Subobject/MonoOver.lean |
2 |
1 |
['github-actions'] |
robin-carlier assignee:robin-carlier |
11-81454 11 days ago |
12-79180 12 days ago |
12-79390 12 days |
| 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'] |
nobody |
11-80555 11 days ago |
33-51569 33 days ago |
33-57841 33 days |
| 41651 |
xroblot author:xroblot |
feat(GroupTheory): coatoms of the subgroup lattice |
Add two group-theory results on maximal subgroups (coatoms of the subgroup lattice), plus a small API change:
- `isCyclic_of_isCoatom_subsingleton`: a group with at most one maximal subgroup is cyclic.
- `CommGroup.isSimpleGroup_iff_isCoatom`: a subgroup of a commutative group is maximal iff the quotient by it is simple.
- `comapMk'OrderIso`: retype the codomain of the correspondence-theorem order isomorphism to `Set.Ici N`, making the order API available (also it mirrors `Submodule.comapMkQRelIso`). The two codomains are defeq and there are no use.
:robot: This PR was extracted from the [SKW project](https://github.com/xroblot/SKW) by Claude. |
t-group-theory |
49/1 |
Mathlib.lean,Mathlib/GroupTheory/QuotientGroup/Basic.lean,Mathlib/GroupTheory/QuotientGroup/Simple.lean,Mathlib/GroupTheory/SpecificGroups/Cyclic.lean |
4 |
13 |
['SnirBroshi', 'b-mehta', 'github-actions', 'mathlib-merge-conflicts', 'plp127', 'xroblot'] |
nobody |
11-78209 11 days ago |
41-54208 41 days ago |
41-54352 41 days |
| 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'] |
nobody |
11-76678 11 days ago |
11-77320 11 days ago |
11-79941 11 days |
| 41293 |
riccardobrasca author:riccardobrasca |
feat: add WeierstrassCurve.exists_variableChange_lift |
We add `WeierstrassCurve.exists_variableChange_lift`, a variable change over the fraction field between integral Weierstrass equations descends to the
base ring if its `u` coefficient descends to a unit of the base ring.
---
A first version of the code has been generated by Claude, but it has gone through extensive review by me before opening the PR.
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|
t-algebraic-geometry |
45/0 |
Mathlib/AlgebraicGeometry/EllipticCurve/Reduction.lean |
1 |
2 |
['Multramate', 'github-actions'] |
Multramate assignee:Multramate |
11-56496 11 days ago |
48-56640 48 days ago |
49-48629 49 days |
| 42331 |
riccardobrasca author:riccardobrasca |
feat: add ModularForm.qExpansionAlgHom |
Replace `ModularForm.qExpansionRingHom` by `ModularForm.qExpansionAlgHom`.
---
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|
t-number-theory |
42/0 |
Mathlib/NumberTheory/ModularForms/QExpansion.lean |
1 |
2 |
['github-actions'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
11-56486 11 days ago |
25-30544 25 days ago |
25-30531 25 days |
| 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'] |
nobody |
11-55810 11 days ago |
11-56423 11 days ago |
65-7231 65 days |
| 42795 |
harahu author:harahu |
chore(RepresentationTheory): tidy markdown headers |
Ensure all files in `Mathlib/RepresentationTheory` have an H1 header. Clean up some H2 headers while we're at it.
---
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- [ ] depends on: #xyz [optional extra text]
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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
8/4 |
Mathlib/RepresentationTheory/Action.lean,Mathlib/RepresentationTheory/Continuous/Basic.lean,Mathlib/RepresentationTheory/Equiv.lean,Mathlib/RepresentationTheory/Homological/ContCohomology/LowDegree.lean,Mathlib/RepresentationTheory/Tannaka.lean |
5 |
1 |
['github-actions'] |
nobody |
11-49162 11 days ago |
11-49823 11 days ago |
11-49810 11 days |
| 41913 |
peabrainiac author:peabrainiac |
chore(Data/Set): move lemmas from `Set.Disjoint` to `Disjoint` |
Move three lemmas from the `Set.Disjoint` namespace to the `Disjoint` namespace to enable dot notation.
We do not add deprecation aliases since the lemmas only get moved, not renamed, and having both the lemmas and their deprecated aliases available inside the `Set` namespace could lead to trouble.
---
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|
t-data |
4/3 |
Mathlib/Data/Set/Prod.lean |
1 |
5 |
['Ruben-VandeVelde', 'SnirBroshi', 'github-actions', 'peabrainiac'] |
nobody |
11-35042 11 days ago |
38-74344 38 days ago |
38-74331 38 days |
| 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 |
11-25690 11 days ago |
11-28385 11 days ago |
11-28492 11 days |
| 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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|
t-algebra
t-number-theory
large-import
label:t-algebra$ |
116/8 |
Mathlib/Algebra/Polynomial/Coeff.lean,Mathlib/NumberTheory/EllipticDivisibilitySequence.lean |
2 |
33 |
['Multramate', 'alreadydone', 'copilot-pull-request-reviewer', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'tb65536'] |
nobody |
11-15599 11 days ago |
12-738 12 days ago |
13-33180 13 days |
| 40788 |
FrankieNC author:FrankieNC |
feat: uniformly integrable Lᵖ tails tend to 0 uniformly |
Adds `UniformIntegrable.tendsto_iSup_eLpNorm_indicator_atTop`: for a uniformly integrable family `f`,
Tendsto (fun M ↦ ⨆ i, eLpNorm ({x | M ≤ ‖f i x‖₊}.indicator (f i)) p μ) atTop (𝓝 0).
This is the `Tendsto` companion to the existing `UniformIntegrable.spec`, which only provides, for each `ε`, a single threshold `C`.
This is the form that arises when truncating an L¹/Lᵖ family at increasing norm levels — e.g. vector-valued truncation / Komlós-type arguments — where the existing ProbabilityTheory.truncation does not apply, being real- and order-interval-valued.
---
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|
t-measure-probability
brownian
|
120/5 |
Mathlib/MeasureTheory/Function/UniformIntegrable.lean |
1 |
27 |
['CoolRmal', 'EtienneC30', 'FrankieNC', 'github-actions', 'j-loreaux', 'mathlib-merge-conflicts'] |
EtienneC30 assignee:EtienneC30 |
11-14461 11 days ago |
11-15518 11 days ago |
67-32309 67 days |
| 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 |
11-10328 11 days ago |
12-79629 12 days ago |
12-79616 12 days |
| 42133 |
joelkronqvist author:joelkronqvist |
feat(Order/Interval/Set/LinearOrder): add thms for unions of adjacent intervals |
This PR adds four new lemmas stating that for two nonempty intervals with a common endpoint, taking their union is equal to removing that common endpoint from a larger interval.
I use the fact `Ioo_union_Ioo_eq_Ioo_sdiff_singleton` in [ExtremeValueProject](https://github.com/joelkronqvist/ExtremeValueProject/commits/kandi-linear_of_additive_of_le_on_measure_pos).
I could also add versions of these lemmas for half-open intervals to this PR. Should I do it? I haven't added them yet because I suspect their proofs are quite repetitive and I'd like to get feedback on the first four additions to reduce the need of repetitive rewrites. Where would they belong? Probably not in a section that is concerned with two finite intervals with a common point. This addition would add 5 more proofs for `Iio ∪ Ioi`, `Ioo ∪ Ioi`, `Iio ∪ Ioo`, `Ico ∪ Ioi` and `Iio ∪ Ioc`.
Co-authored-by: Kalle Kytölä <kalle.kytola@aalto.fi>
---
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|
t-order
new-contributor
maintainer-merge
|
32/0 |
Mathlib/Order/Interval/Set/LinearOrder.lean |
1 |
4 |
['Ruben-VandeVelde', 'felixpernegger', 'github-actions', 'joelkronqvist', 'wwylele'] |
nobody |
11-8033 11 days ago |
30-40631 30 days ago |
30-40618 30 days |
| 39868 |
JuanCoRo author:JuanCoRo |
feat(Algebra/Polynomial): linearity of `divByMonic` and adjacent results |
---
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This PR adds the `R`-linearity of the monic polynomial division map `_ /ₘ q`. It also adds adjacent results that stem from this work.
#### Refactors:
- Reuses the proofs from `add_modByMonic` and `smul_modByMonic` to generalize these results to `add_div_modByMonic` and `smul_div_modByMonic` respectively.
- Replaces the proofs of `add_modByMonic` and `smul_modByMonic` as specializations of the more general theorems `add_div_modByMonic` and `smul_div_modByMonic` respectively.
#### Additions:
- Adds the necessary results for `_ /ₘ q` linearity:
- `add_divByMonic : (p₁ + p₂) /ₘ q = p₁ /ₘ q + p₂ /ₘ q`
- `smul_divByMonic : c • p /ₘ q = c • (p /ₘ q)`
- Adds `_ /ₘ q` as an `R`-linear map:
- `divByMonicHom`: definition of `_ /ₘ q` as a linear map
- `mem_ker_divByMonic`: kernel characterization for `_ /ₘ q`.
- In `Div.lean` adds dual results for `/ₘ` that were already present for `%ₘ`
- `neg_divByMonic : (-p) /ₘ q = -(p /ₘ q)`
- `sub_divByMonic : (p₁ - p₂) /ₘ q = p₁ /ₘ q - p₂ /ₘ q`
- `mul_divByMonic_assoc (hd : q ∣ p₂) : (p₁ * p₂) /ₘ q = p₁ * (p₂ /ₘ q)`
While `mul_divByMonic_assoc` is not exactly the dual of `mul_modByMonic`, I thought it wouldn't hurt to add it.
[](https://gitpod.io/from-referrer/) |
new-contributor
t-algebra
label:t-algebra$ |
54/17 |
Mathlib/Algebra/Polynomial/Div.lean,Mathlib/Algebra/Polynomial/RingDivision.lean |
2 |
8 |
['JuanCoRo', 'github-actions', 'wwylele'] |
joelriou assignee:joelriou |
10-81458 10 days ago |
89-43817 89 days ago |
89-43883 89 days |
| 40495 |
gw90 author:gw90 |
feat: weighted graphs with killing term |
Adding basic definitions and API for weighted graphs and weighted graphs with killing term.
---
My goal is to develop the basic theory from the beginning of [this textbook](https://www.math.uni-potsdam.de/fileadmin/user_upload/Prof-GraphTh/Keller/KellerLenzWojciechowski_GraphsAndDiscreteDirichletSpaces_wu_version.pdf). I also have some definitions and lemmas regarding Dirichlet forms and Laplacians to PR later, but I tried to pare down this first PR as much as possible. It currently has only 4 main definitions and sufficient API to demonstrate their correctness.
Note that I did not use [SimpleGraph.edgeLabeling](https://leanprover-community.github.io/mathlib4_docs/find/?pattern=SimpleGraph.EdgeLabeling#doc) for the edgeWeight function because it is important that vertices that are not adjacent have an edge weight of zero. That is, the edgeWeight must be defined for all pairs of vertices and respect the underlying adjacency relation on the graph.
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|
t-combinatorics
new-contributor
|
368/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Weighted/Basic.lean,docs/references.bib |
3 |
2 |
['github-actions'] |
b-mehta assignee:b-mehta |
10-81457 10 days ago |
75-79120 75 days ago |
75-79107 75 days |
| 40557 |
xroblot author:xroblot |
feat(RingTheory/Ideal): generalize span_singleton_dvd_span_singleton_iff_dvd and emultiplicity_eq_emultiplicity_span |
Move `Ideal.span_singleton_dvd_span_singleton_iff_dvd` from
`Mathlib.RingTheory.DedekindDomain.Ideal.Lemmas` to
`Mathlib.RingTheory.Ideal.Operations`. The result holds for any `CommSemiring` — the `[IsPrincipalIdealRing R]` hypothesis was not needed.
Generalize `Ideal.emultiplicity_eq_emultiplicity_span` from
`[IsDomain R] [IsPrincipalIdealRing R]` to `[CommRing R]`. The proof simplifies considerably: it follows immediately from `emultiplicity_eq_emultiplicity_iff` and the generalized dvd lemma.
:robot: This PR was extracted from the [SKW project](https://github.com/xroblot/SKW) by Claude. |
t-ring-theory |
30/26 |
Mathlib/RingTheory/DedekindDomain/Ideal/Lemmas.lean,Mathlib/RingTheory/Ideal/Operations.lean |
2 |
3 |
['Multramate', 'github-actions', 'xroblot'] |
mattrobball assignee:mattrobball |
10-81456 10 days ago |
11-59495 11 days ago |
74-21784 74 days |
| 40648 |
felixpernegger author:felixpernegger |
chore(MeasureTheory/MeasurableSpace/Constructions): remove some defeq abuse |
---
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|
tech debt |
7/2 |
Mathlib/MeasureTheory/MeasurableSpace/Constructions.lean,Mathlib/Order/Disjointed.lean |
2 |
2 |
['github-actions', 'wwylele'] |
jjdishere assignee:jjdishere |
10-81455 10 days ago |
71-80174 71 days ago |
71-80179 71 days |
| 41880 |
mbkybky author:mbkybky |
feat(CategoryTheory/ObjectProperty): define objects admitting finite resolutions by objects satisfying `P : ObjectProperty C` |
Let `C` be a category, `P : ObjectProperty C` be a property of objectsin `C`. We say that `X : C` has a `P`-resolution of length `n` if there exists an exact sequence `0 ⟶ Eₙ ⟶ ⋯ ⟶ E₀ ⟶ X ⟶ 0` such that each `Eᵢ : C` satisfies `P`.
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|
t-category-theory |
147/0 |
Mathlib.lean,Mathlib/CategoryTheory/ObjectProperty/HasFiniteResolution/Basic.lean |
2 |
8 |
['github-actions', 'joelriou'] |
robin-carlier assignee:robin-carlier |
10-81455 10 days ago |
36-70334 36 days ago |
38-26153 38 days |
| 41762 |
felixpernegger author:felixpernegger |
chore: replace terminal `convert` with `exact` |
Replaces terminal `convert(!)` with `exact` whenever possible.
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|
193/190 |
Mathlib/Algebra/BigOperators/Group/List/Basic.lean,Mathlib/Algebra/Category/ModuleCat/EpiMono.lean,Mathlib/Algebra/CharP/MixedCharZero.lean,Mathlib/Algebra/DirectSum/Module.lean,Mathlib/Algebra/Group/Action/Basic.lean,Mathlib/Algebra/Group/Fin/Tuple.lean,Mathlib/Algebra/Group/Pointwise/Set/Finite.lean,Mathlib/Algebra/Module/LocalizedModule/Basic.lean,Mathlib/Algebra/Module/NatInt.lean,Mathlib/Algebra/Module/ZLattice/Basic.lean,Mathlib/Algebra/Polynomial/AlgebraMap.lean,Mathlib/Algebra/Polynomial/Div.lean,Mathlib/Algebra/Ring/GeomSum.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Jacobian/Point.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Projective/Point.lean,Mathlib/AlgebraicGeometry/Noetherian.lean,Mathlib/AlgebraicGeometry/Properties.lean,Mathlib/AlgebraicGeometry/Spec.lean,Mathlib/Analysis/BoxIntegral/Partition/Basic.lean,Mathlib/Analysis/Calculus/ContDiff/Basic.lean,Mathlib/Analysis/Calculus/ContDiff/Convolution.lean,Mathlib/Analysis/Calculus/ContDiff/Defs.lean,Mathlib/Analysis/Calculus/FDeriv/ContinuousAlternatingMap.lean,Mathlib/Analysis/Calculus/FDeriv/ContinuousMultilinearMap.lean,Mathlib/Analysis/Complex/Basic.lean,Mathlib/Analysis/Convex/Caratheodory.lean,Mathlib/Analysis/Convex/Side.lean,Mathlib/Analysis/Convex/SpecificFunctions/Deriv.lean,Mathlib/Analysis/Fourier/AddCircle.lean,Mathlib/Analysis/FunctionalSpaces/SobolevInequality.lean,Mathlib/Analysis/Normed/Field/UnitBall.lean,Mathlib/Analysis/Normed/Lp/ProdLp.lean,Mathlib/Analysis/Normed/Lp/lpSpace.lean,Mathlib/Analysis/SpecialFunctions/Pow/Deriv.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Chebyshev/Orthogonality.lean,Mathlib/CategoryTheory/Abelian/Pseudoelements.lean,Mathlib/CategoryTheory/Adhesive/Basic.lean,Mathlib/CategoryTheory/Category/Basic.lean,Mathlib/CategoryTheory/Limits/Shapes/Pullback/IsPullback/BicartesianSq.lean,Mathlib/CategoryTheory/Limits/Types/Coequalizers.lean,Mathlib/CategoryTheory/Localization/Opposite.lean,Mathlib/CategoryTheory/Monoidal/Internal/Module.lean,Mathlib/CategoryTheory/Monoidal/Internal/Types/Basic.lean,Mathlib/CategoryTheory/Monoidal/Internal/Types/CommGrp_.lean,Mathlib/CategoryTheory/PUnit.lean,Mathlib/CategoryTheory/PathCategory/Basic.lean,Mathlib/CategoryTheory/Sites/Types.lean,Mathlib/CategoryTheory/Subobject/Classifier/Defs.lean,Mathlib/Combinatorics/Configuration.lean,Mathlib/Combinatorics/Hindman.lean,Mathlib/Combinatorics/Nullstellensatz.lean,Mathlib/Combinatorics/SetFamily/KruskalKatona.lean,Mathlib/Combinatorics/SimpleGraph/Dart.lean,Mathlib/Combinatorics/SimpleGraph/Regularity/Chunk.lean,Mathlib/Computability/TuringMachine/ToPartrec.lean,Mathlib/Data/DFinsupp/Interval.lean,Mathlib/Data/ENNReal/Operations.lean,Mathlib/Data/Fin/Tuple/Basic.lean,Mathlib/Data/Finset/Image.lean,Mathlib/Data/List/Basic.lean,Mathlib/Data/List/Intervals.lean,Mathlib/Data/Nat/Digits/Defs.lean,Mathlib/Data/QPF/Univariate/Basic.lean,Mathlib/Data/Sym/Basic.lean,Mathlib/FieldTheory/PrimitiveElement.lean,Mathlib/Geometry/Convex/Cone/Pointed.lean,Mathlib/Geometry/Convex/ConvexSpace/Defs.lean,Mathlib/Geometry/Euclidean/Projection.lean,Mathlib/Geometry/Manifold/ChartedSpace.lean,Mathlib/Geometry/Manifold/ContMDiff/Constructions.lean,Mathlib/Geometry/Manifold/MFDeriv/SpecificFunctions.lean,Mathlib/Geometry/Manifold/Sheaf/Basic.lean,Mathlib/Geometry/RingedSpace/LocallyRingedSpace/HasColimits.lean,Mathlib/Geometry/RingedSpace/OpenImmersion.lean,Mathlib/Geometry/RingedSpace/PresheafedSpace/Gluing.lean,Mathlib/GroupTheory/Finiteness.lean,Mathlib/GroupTheory/GroupAction/Quotient.lean,Mathlib/GroupTheory/Perm/Closure.lean,Mathlib/GroupTheory/Perm/Cycle/Basic.lean,Mathlib/GroupTheory/Perm/Support.lean,Mathlib/GroupTheory/Submonoid/Inverses.lean,Mathlib/LinearAlgebra/AffineSpace/AffineMap.lean,Mathlib/LinearAlgebra/AffineSpace/Centroid.lean,Mathlib/LinearAlgebra/AffineSpace/Independent.lean,Mathlib/LinearAlgebra/Dimension/LinearMap.lean,Mathlib/LinearAlgebra/Finsupp/Supported.lean,Mathlib/LinearAlgebra/Matrix/Block.lean,Mathlib/LinearAlgebra/Matrix/ToLin.lean,Mathlib/LinearAlgebra/Pi.lean,Mathlib/LinearAlgebra/PiTensorProduct/Basic.lean,Mathlib/LinearAlgebra/StdBasis.lean,Mathlib/LinearAlgebra/TensorAlgebra/Basic.lean,Mathlib/Logic/Equiv/Fin/Basic.lean,Mathlib/Logic/Equiv/Fintype.lean,Mathlib/MeasureTheory/Function/ConvergenceInDistribution.lean,Mathlib/MeasureTheory/Function/Jacobian.lean,Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean,Mathlib/MeasureTheory/Group/Measure.lean,Mathlib/MeasureTheory/Integral/FinMeasAdditive.lean,Mathlib/MeasureTheory/Measure/Content.lean |
150 |
16 |
['Parcly-Taxel', 'adomani', 'chenson2018', 'felixpernegger', 'github-actions', 'grunweg', 'leanprover-radar', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
10-80892 10 days ago |
10-83865 10 days ago |
37-72598 37 days |
| 42817 |
WenrongZou author:WenrongZou |
feat(ValuativeRel): instance `IsLinearTopology 𝒪[K] 𝒪[K]` |
In this PR, we prove the instance `IsLinearTopology 𝒪[K] 𝒪[K]`. There is a very old PR regarding this [#24627](https://github.com/leanprover-community/mathlib4/pull/24627). But we are going to deprecate `Valued`.
---
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|
t-topology |
11/0 |
Mathlib/Topology/Algebra/ValuativeRel/ValuativeTopology.lean |
1 |
1 |
['github-actions'] |
nobody |
10-55932 10 days ago |
10-56748 10 days ago |
10-56735 10 days |
| 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 |
50/0 |
Mathlib/Data/List/Indexes.lean,Mathlib/Data/Nat/Digits/Lemmas.lean |
2 |
1 |
['github-actions'] |
TwoFX assignee:TwoFX |
10-51497 10 days ago |
79-26225 79 days ago |
79-26382 79 days |
| 40551 |
emlis42 author:emlis42 |
feat(SetTheory/Ordinal): prove that `ε₀` and `Γ₀` are countable |
This PR proves that `ε₀` and `Γ₀` are countable, i.e. `Countable (ToType ε₀)` and `Countable (ToType Γ₀)`.
This completes a TODO in `SetTheory/Ordinal/Veblen.lean`. |
t-set-theory
large-import
maintainer-merge
|
151/7 |
Mathlib/SetTheory/Cardinal/Aleph.lean,Mathlib/SetTheory/Cardinal/Ordinal.lean,Mathlib/SetTheory/Ordinal/Basic.lean,Mathlib/SetTheory/Ordinal/Univ.lean,Mathlib/SetTheory/Ordinal/Veblen.lean |
5 |
68 |
['YaelDillies', 'emlis42', 'felixpernegger', 'github-actions', 'plp127', 'vihdzp'] |
nobody |
10-39696 10 days ago |
12-25295 12 days ago |
75-15268 75 days |
| 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 |
10-39630 10 days ago |
10-42098 10 days ago |
10-42903 10 days |
| 41259 |
felixpernegger author:felixpernegger |
chore: remove redudant `nonrec`'s |
Remove all `nonrec` which are just not needed, about 9% of all `nonrec` occurences (tech debt)
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|
62/62 |
Mathlib/Algebra/Colimit/DirectLimit.lean,Mathlib/Algebra/GroupWithZero/WithZero.lean,Mathlib/AlgebraicGeometry/Cover/MorphismProperty.lean,Mathlib/AlgebraicGeometry/Morphisms/ClosedImmersion.lean,Mathlib/AlgebraicGeometry/Morphisms/Descent.lean,Mathlib/AlgebraicGeometry/Morphisms/QuasiFinite.lean,Mathlib/AlgebraicGeometry/Sites/SheafQuasiCompact.lean,Mathlib/Analysis/Calculus/Deriv/Comp.lean,Mathlib/Analysis/Calculus/Deriv/Star.lean,Mathlib/Analysis/Calculus/FDeriv/Basic.lean,Mathlib/Analysis/Calculus/FDeriv/WithLp.lean,Mathlib/Analysis/Complex/PhragmenLindelof.lean,Mathlib/Analysis/Complex/Trigonometric.lean,Mathlib/Analysis/Normed/Group/Quotient.lean,Mathlib/Analysis/SpecialFunctions/Pow/Deriv.lean,Mathlib/Computability/RecursiveIn.lean,Mathlib/Data/List/Basic.lean,Mathlib/Data/List/Cycle.lean,Mathlib/Data/NNReal/Defs.lean,Mathlib/Data/Rel/Cover.lean,Mathlib/Data/Rel/Separated.lean,Mathlib/Geometry/Euclidean/Inversion/Calculus.lean,Mathlib/Geometry/Manifold/ContMDiff/Constructions.lean,Mathlib/Geometry/Manifold/ContMDiff/NormedSpace.lean,Mathlib/LinearAlgebra/Multilinear/Basic.lean,Mathlib/MeasureTheory/Group/Arithmetic.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/Basic.lean,Mathlib/MeasureTheory/Measure/Decomposition/Lebesgue.lean,Mathlib/MeasureTheory/Measure/Lebesgue/Basic.lean,Mathlib/ModelTheory/Ultraproducts.lean,Mathlib/NumberTheory/BernoulliPolynomials.lean,Mathlib/Probability/Density.lean,Mathlib/Probability/Moments/Variance.lean,Mathlib/RingTheory/Flat/Basic.lean,Mathlib/RingTheory/Ideal/KrullsHeightTheorem.lean,Mathlib/RingTheory/Polynomial/Resultant/Basic.lean,Mathlib/Topology/Connected/PathConnected.lean,Mathlib/Topology/FiberBundle/Basic.lean,Mathlib/Topology/Filter.lean,Mathlib/Topology/Homotopy/Basic.lean,Mathlib/Topology/Instances/ENat.lean,Mathlib/Topology/MetricSpace/MetricSeparated.lean,Mathlib/Topology/MetricSpace/Pseudo/Basic.lean,Mathlib/Topology/Order/LocalExtr.lean |
44 |
4 |
['felixpernegger', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts'] |
nobody |
10-32894 10 days ago |
10-35583 10 days ago |
37-36224 37 days |
| 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/Logic/Basic.lean,Mathlib/Logic/Function/Basic.lean,Mathlib/Order/Basic.lean,Mathlib/Order/Defs/PartialOrder.lean |
4 |
4 |
['felixpernegger', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts'] |
nobody |
10-32323 10 days ago |
10-35494 10 days ago |
43-51432 43 days |
| 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'] |
nobody |
10-29667 10 days ago |
10-42433 10 days ago |
10-42420 10 days |
| 42534 |
gloges author:gloges |
feat(LinearAlgebra/MultilinearMap): generalize `MultilinearMap` with common `RingHom` |
Generalizes multilinear maps to multi-semilinear maps.
In analogy with `LinearMap σ M N`, `MultilinearMap σ M N` is the space of multilinear maps from the `R`-module `∀ i, M i` to the `S`-module `N` over a ring homomorphism `σ : R →+* S`: fixing all but one coordinate gives a map `M i →ₛₗ[σ] N`.
Both `ContinuousLinearMap` and `AlternatingMap` extend `MultilinearMap` and are left defined in terms of `RingHom.id`.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor |
679/616 |
Mathlib/Analysis/Analytic/Composition.lean,Mathlib/Analysis/Analytic/Inverse.lean,Mathlib/Analysis/Calculus/ContDiff/FaaDiBruno.lean,Mathlib/Analysis/Normed/Module/Multilinear/Basic.lean,Mathlib/Analysis/Normed/Module/Multilinear/Curry.lean,Mathlib/LinearAlgebra/Alternating/Basic.lean,Mathlib/LinearAlgebra/Alternating/DomCoprod.lean,Mathlib/LinearAlgebra/Multilinear/Basic.lean,Mathlib/LinearAlgebra/Multilinear/Basis.lean,Mathlib/LinearAlgebra/Multilinear/Curry.lean,Mathlib/LinearAlgebra/Multilinear/DFinsupp.lean,Mathlib/LinearAlgebra/Multilinear/DirectSum.lean,Mathlib/LinearAlgebra/Multilinear/FiniteDimensional.lean,Mathlib/LinearAlgebra/Multilinear/Finsupp.lean,Mathlib/LinearAlgebra/Multilinear/Pi.lean,Mathlib/LinearAlgebra/Multilinear/TensorProduct.lean,Mathlib/LinearAlgebra/PiTensorProduct/Basic.lean,Mathlib/LinearAlgebra/PiTensorProduct/DFinsupp.lean,Mathlib/LinearAlgebra/PiTensorProduct/Generators.lean,Mathlib/LinearAlgebra/TensorAlgebra/Basic.lean,Mathlib/LinearAlgebra/TensorPower/Pairing.lean,Mathlib/LinearAlgebra/TensorPower/Symmetric.lean,Mathlib/RingTheory/PiTensorProduct.lean,Mathlib/Topology/Algebra/Module/Multilinear/Basic.lean |
24 |
16 |
['eric-wieser', 'github-actions', 'gloges', 'themathqueen'] |
nobody |
10-29014 10 days ago |
10-35994 10 days ago |
18-62093 18 days |
| 42808 |
rshlyakh author:rshlyakh |
feat(Algebra/MonoidAlgebra/Grading): add decomposition lemma |
Adds a `simp` lemma about the decomposition of the `AddMonoidAlgebra R M` grading.
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|
t-algebra
new-contributor
label:t-algebra$ |
10/0 |
Mathlib/Algebra/MonoidAlgebra/Grading.lean |
1 |
4 |
['github-actions', 'wwylele'] |
nobody |
10-25066 10 days ago |
11-934 11 days ago |
11-1532 11 days |
| 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 |
8/6 |
Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Basic.lean,Mathlib/Analysis/Normed/Ring/Basic.lean,Mathlib/GroupTheory/GroupAction/SubMulAction.lean |
3 |
2 |
['Ruben-VandeVelde', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
10-24997 10 days ago |
10-27236 10 days ago |
31-82506 31 days |
| 39857 |
plp127 author:plp127 |
chore(Order/CompleteLattice/Basic): `Sort*` polymorphism |
Generalize some theorems from `Type*` to `Sort*`. Also make type-variables explicitly either `Type*` or `Sort*`.
---
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|
t-order |
15/13 |
Mathlib/Order/CompleteLattice/Basic.lean |
1 |
6 |
['SnirBroshi', 'b-mehta', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
10-21291 10 days ago |
10-24058 10 days ago |
91-66852 91 days |
| 38534 |
AlexeyMilovanov author:AlexeyMilovanov |
refactor(Computability): make `PFun` a one-field structure |
This PR refactors `PFun` from `def PFun α β := α → Part β` to a structure with a `FunLike` instance.
[Discussion](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Fix.20for.20fun_prop.20on.20PFun.20.28context.3A.20Computability.20Theory.29)
### Main changes
* `PFun` is now a structure with a single field `toFun : α → Part β`.
* Added the `FunLike (α →. β) α (Part β)` instance and `initialize_simps_projections`.
* Added the basic projection/application simp lemmas needed for the structure wrapper.
* Definitions which used to return raw lambdas as partial functions now explicitly use `PFun.mk` or `PFun.lift`.
* Equality proofs for partial functions now use `PFun.ext` / `DFunLike.ext` where `funext` no longer applies directly.
### Downstream impact
The refactor mainly impacts Computability Theory and Category Theory (`Category/PartialFun.lean`). Since `PFun` is no longer definitionally equal to `α → Part β`, tactics such as `rfl`, `simp`, and `funext` can no longer always see through the old raw-function representation.
As a result, several proofs (e.g. `fix_aux`, `ppred`, `mem_eval`, and `unitIso`) grew in size, requiring explicit `ext` + `simp` breakdowns. I tried to keep these proof changes minimal; further golfing suggestions are very welcome. It seems that fully recovering the old brevity in some places may require additional `PFun`-specific API/congruence support, which I avoided adding in this PR to keep the diff minimal.
### Affected files
* **Core:** `Mathlib/Data/PFun.lean`
* **Computability:** `Partrec`, `PartrecBasis`, `PartrecCode`, `RE`, `RecursiveIn`, `Ackermann`, `StateTransition`, `TuringDegree`, `TuringMachine/Config`
* **Category Theory:** `Category/PartialFun.lean`
* **Other:** `Data/Finset/PImage.lean`, `NumberTheory/Dioph.lean`
This also removes the previous `set_option linter.flexible false` workaround and the local transparency workaround in `TuringMachine/Config.lean`, as well as the local transparency workarounds in `Category/PartialFun.lean`.
### Note on LLM usage
The core `PFun` change caused numerous downstream errors. I initially used an LLM to help draft fixes for these files. Afterwards, I spent a significant amount of time manually correcting and modifying all of the generated changes.
|
new-contributor
t-computability
tech debt
LLM-generated
maintainer-merge
|
565/491 |
Mathlib/CategoryTheory/Category/PartialFun.lean,Mathlib/Computability/Ackermann.lean,Mathlib/Computability/Partrec.lean,Mathlib/Computability/PartrecBasis.lean,Mathlib/Computability/PartrecCode.lean,Mathlib/Computability/RE.lean,Mathlib/Computability/RecursiveIn.lean,Mathlib/Computability/StateTransition.lean,Mathlib/Computability/TuringDegree.lean,Mathlib/Computability/TuringMachine/Config.lean,Mathlib/Data/Finset/PImage.lean,Mathlib/Data/PFun.lean,Mathlib/NumberTheory/Dioph.lean |
13 |
68 |
['AlexeyMilovanov', 'JovanGerb', 'YaelDillies', 'dagurtomas', 'github-actions', 'j-loreaux', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
10-10934 10 days ago |
10-11509 10 days ago |
94-61937 94 days |
| 42628 |
JovanGerb author:JovanGerb |
chore(Algebra/Order/Ring/WithTop): use `to_dual` |
This PR uses `to_dual` on `Ring`-related declarations on `WithTop`/`WithBot`. Some lemmas and instances only existed for `WithTop`, so they have now been added for `WithBot`.
The type class assumption for the ring instances have been weakened into a form that `to_dual` is happy with. It now only assumes `[Subsingleton (AddUnits α)]` instead of `[PartialOrder α] [CanonicallyOrderedAdd α]`.
Some generic instances about `CovariantClass` were given a low priority because `to_dual` doesn't like them.
---
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|
t-algebra label:t-algebra$ |
77/128 |
Mathlib/Algebra/Order/Monoid/Defs.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Defs.lean,Mathlib/Algebra/Order/Monoid/WithTop.lean,Mathlib/Algebra/Order/Ring/WithTop.lean |
4 |
6 |
['JovanGerb', 'github-actions', 'jcommelin', 'leanprover-radar', 'mathlib-merge-conflicts'] |
nobody |
10-6948 10 days ago |
10-9837 10 days ago |
10-85478 10 days |
| 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 |
1 |
['github-actions'] |
nobody |
9-85564 9 days ago |
9-86139 9 days ago |
9-86126 9 days |
| 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'] |
alreadydone assignee:alreadydone |
9-81456 9 days ago |
13-23206 13 days ago |
79-13101 79 days |
| 42846 |
mcdoll author:mcdoll |
feat(Analysis/Convex): `egauge` of a seminorm balls |
Prove relations between the seminorm and the `egauge` of the (closed) ball.
This is a step to calculate derivatives of functions with codomain in locally convex spaces.
Co-authored-by: Anatole Dedecker <anatolededecker@gmail.com>
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|
t-analysis |
61/24 |
Mathlib/Analysis/Convex/EGauge.lean |
1 |
1 |
['github-actions'] |
nobody |
9-81253 9 days ago |
9-82201 9 days ago |
9-82188 9 days |
| 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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|
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 |
9-80558 9 days ago |
21-43020 21 days ago |
126-36249 126 days |
| 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 |
9-80554 9 days ago |
31-68596 31 days ago |
55-51918 55 days |
| 42849 |
mcdoll author:mcdoll |
feat(Analysis/LocallyConvex): induction principles for `WithSeminorm` |
Adds two "induction principles" for seminorms: a property holds for a continuous seminorm if it holds for all seminorms that induce the topology, the zero seminorm, is monotone, and closed under taking suprema and scalar multiplication.
We add two versions: one where we checked suprema and one where we check addition (the later being more convenient in practice).
Co-authored-by: Anatole Dedecker <anatolededecker@gmail.com>
---
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|
t-analysis |
51/0 |
Mathlib/Analysis/LocallyConvex/WithSeminorms.lean |
1 |
1 |
['github-actions'] |
nobody |
9-79818 9 days ago |
9-81128 9 days ago |
9-81115 9 days |
| 41564 |
felixpernegger author:felixpernegger |
chore: unexpose public sections with no defs |
This PR remove `@[expose]` from public sections when there are no `(irredcible_)def`'s inside the section anyways, so there is no reason to expose the section (does not make a difference).
---
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|
tech debt |
22/22 |
Mathlib/Algebra/Field/Rat.lean,Mathlib/Algebra/HierarchyDesign.lean,Mathlib/Algebra/Notation/Pi/Defs.lean,Mathlib/Algebra/Order/Archimedean/Real/Basic.lean,Mathlib/Algebra/Order/Nonneg/Lattice.lean,Mathlib/Algebra/Order/Ring/Unbundled/Rat.lean,Mathlib/Analysis/InnerProductSpace/Coalgebra.lean,Mathlib/Analysis/ODE/ExistUnique.lean,Mathlib/CategoryTheory/MorphismProperty/LocalClosure.lean,Mathlib/Data/ENat/Pow.lean,Mathlib/Data/Finsupp/PointwiseSMul.lean,Mathlib/Data/Sigma/Order.lean,Mathlib/Order/ConditionallyCompleteLattice/Basic.lean,Mathlib/Order/Heyting/Basic.lean,Mathlib/Order/Lattice/Nat.lean,Mathlib/RingTheory/Coalgebra/CoassocSimps.lean,Mathlib/RingTheory/QuasiFinite/Basic.lean,Mathlib/RingTheory/QuasiFinite/Weakly.lean,Mathlib/RingTheory/SimpleModule/Basic.lean,Mathlib/Topology/Category/DeltaGenerated.lean,Mathlib/Topology/EMetricSpace/Weak.lean,Mathlib/Topology/List.lean |
22 |
8 |
['JovanGerb', 'felixpernegger', 'github-actions', 'grunweg', 'mathlib-merge-conflicts', 'themathqueen'] |
JovanGerb assignee:JovanGerb |
9-79354 9 days ago |
9-82493 9 days ago |
16-52436 16 days |
| 36507 |
BryceT233 author:BryceT233 |
feat(RingTheory/MvPowerSeries): various equivalences for `MvPowerSeries` |
This PR adds a number of equivalences related to power series rings and is patterned after `Mathlib/Algebra/MvPolynomial/Equiv.lean`.
To be specific, it adds:
* `MvPowerSeries.isEmptyEquiv` : The isomorphism between multivariable power series
in no variables and the ground ring.
* `MvPowerSeries.uniqueEquiv` : The isomorphism between multivariable power series
in a single variable and power series over the ground ring.
* `MvPowerSeries.mapEquiv`, `MvPowerSeries.mapAlgEquiv` : The isomorhism between
multivariable power series induced by an isomorphism between the coefficient rings.
* `MvPowerSeries.sumAlgEquiv` : The isomorphism between multivariable power series
in a sum of two types, and multivariable power series in one of the types,
with coefficients in multivariable power series in the other type.
* `MvPowerSeries.commAlgEquiv` : The isomorphism between multivariable power series
in variables `σ` of multivariable power series in variables `τ` and multivariable power series
in variables `τ` of multivariable power series in variables `σ`.
* `MvPowerSeries.optionEquivLeft` : The isomorphism between multivariable power series
in `Option σ` and power series with coefficients in `MvPowerSeries σ R`.
* `MvPowerSeries.optionEquivRight` : The isomorphism between multivariable power series
in `Option σ` and multivariable power series in `σ` with coefficients in `PowerSeries R`
* `MvPowerSeries.finSuccEquiv` : The isomorphism between multivariable power series
in `Fin (n + 1)` and power series over multivariable power series in `Fin n`.
---
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t-ring-theory |
405/11 |
Mathlib/RingTheory/MvPowerSeries/Basic.lean,Mathlib/RingTheory/MvPowerSeries/Equiv.lean |
2 |
27 |
['AntoineChambert-Loir', 'BryceT233', 'Thmoas-Guan', 'WenrongZou', 'YaelDillies', 'eric-wieser', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
alreadydone assignee:alreadydone |
9-73686 9 days ago |
9-74311 9 days ago |
93-25173 93 days |
| 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 |
9-72537 9 days ago |
60-58571 60 days ago |
61-54851 61 days |
| 42397 |
joelriou author:joelriou |
feat(CategoryTheory): `ContAction FintypeCat G` is a Galois category |
---
- [x] depends on: #42396
- [x] depends on: #42320
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|
t-category-theory
large-import
|
222/7 |
Mathlib.lean,Mathlib/CategoryTheory/Action/Basic.lean,Mathlib/CategoryTheory/Action/Continuous.lean,Mathlib/CategoryTheory/Galois/ContAction.lean,Mathlib/CategoryTheory/Galois/FullSubcategory.lean,Mathlib/CategoryTheory/ObjectProperty/EpiMono.lean,Mathlib/CategoryTheory/ObjectProperty/FiniteLimits.lean,Mathlib/Topology/Algebra/OpenSubgroup.lean |
8 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
dagurtomas assignee:dagurtomas |
9-69960 9 days ago |
12-44461 12 days ago |
12-44449 12 days |
| 39692 |
YaelDillies author:YaelDillies |
chore(Algebra/Order/BigOperators): follow the `₀` naming convention |
We have long agreed that `MonoidWithZero` lemmas corresponding to `Monoid` lemmas should be suffixed with `₀`, while currently it is the `Monoid` lemmas that are primed.
Also deprecate two primed lemmas that only differed from the unprimed versions in a minor way.
## Renames
Moves:
* `finprod_le_finprod'` → `finprod_le_finprod`
* `finprod_le_finprod` → `finprod_le_finprod₀`
* `Finset.prod_le_prod'` → `Finset.prod_le_prod`
* `Finset.one_le_prod'` → `Finset.one_le_prod`
* `Finset.one_le_prod''` → `Finset.one_le_prod`
* `Finset.sum_nonneg'` → `Finset.sum_nonneg`
* `Finset.prod_le_one'` → `Finset.prod_le_one`
* `Finset.prod_le_prod_of_subset_of_one_le'` → `Finset.prod_le_prod_of_subset_of_one_le`
* `Finset.prod_le_prod_of_subset_of_le_one'` → `Finset.prod_le_prod_of_subset_of_le_one`
* `Finset.prod_mono_set_of_one_le'` → `Finset.prod_mono_set_of_one_le`
* `Finset.prod_anti_set_of_le_one'` → `Finset.prod_anti_set_of_le_one`
* `Finset.prod_le_univ_prod_of_one_le'` → `Finset.prod_le_univ_prod_of_one_le`
* `Finset.prod_eq_one_iff_of_one_le'` → `Finset.prod_eq_one_iff_of_one_le`
* `Finset.prod_eq_one_iff_of_le_one'` → `Finset.prod_eq_one_iff_of_le_one`
* `Finset.single_le_prod'` → `Finset.single_le_prod`
* `Finset.prod_fiberwise_le_prod_of_one_le_prod_fiber'` → `Finset.prod_fiberwise_le_prod_of_one_le_prod_fiber`
* `Finset.prod_le_prod_fiberwise_of_prod_fiber_le_one'` → `Finset.prod_le_prod_fiberwise_of_prod_fiber_le_one`
* `Finset.abs_sum_of_nonneg'` → `Finset.abs_sum_of_nonneg`
* `Finset.prod_le_prod_of_subset'` → `Finset.prod_le_prod_of_subset`
* `Finset.prod_mono_set'` → `Finset.prod_mono_set`
* `Finset.prod_le_prod_of_ne_one'` → `Finset.prod_le_prod_of_ne_one`
* `Finset.prod_lt_prod'` → `Finset.prod_lt_prod`
* `Finset.prod_lt_prod_of_nonempty'` → `Finset.prod_lt_prod_of_nonempty`
* `Finset.prod_lt_prod_of_subset'` → `Finset.prod_lt_prod_of_subset`
* `Finset.single_lt_prod'` → `Finset.single_lt_prod`
* `Finset.exists_lt_of_prod_lt'` → `Finset.exists_lt_of_prod_lt`
* `Finset.exists_le_of_prod_le'` → `Finset.exists_le_of_prod_le`
* `Finset.exists_one_lt_of_prod_one_of_exists_ne_one'` → `Finset.exists_one_lt_of_prod_one_of_exists_ne_one`
* `Finset.prod_le_prod_of_injOn'` → `Finset.prod_le_prod_of_injOn`
* `Finset.prod_le_prod_of_injOn` → `Finset.prod_le_prod_of_injOn₀`
* `Fintype.prod_mono'` → `Fintype.prod_mono`
* `Fintype.prod_strictMono'` → `Fintype.prod_strictMono`
* `List.Forall₂.prod_le_prod'` → `List.Forall₂.prod_le_prod`
* `List.Sublist.prod_le_prod'` → `List.Sublist.prod_le_prod`
* `List.SublistForall₂.prod_le_prod'` → `List.SublistForall₂.prod_le_prod`
* `List.prod_le_prod'` → `List.prod_le_prod`
* `List.prod_lt_prod'` → `List.prod_lt_prod`
* `List.exists_lt_of_prod_lt'` → `List.exists_lt_of_prod_lt`
* `List.exists_le_of_prod_le'` → `List.exists_le_of_prod_le`
* `Multiset.prod_lt_prod'` → `Multiset.prod_lt_prod`
* `Multiset.prod_lt_prod_of_nonempty'` → `Multiset.prod_lt_prod_of_nonempty`
* `Finset.prod_le_prod` → `Finset.prod_le_prod₀`
* `Finset.prod_le_one` → `Finset.prod_le_one₀`
* `Finset.one_le_prod` → `Finset.one_le_prod`
* `Finset.prod_le_prod_of_subset_of_one_le` → `Finset.prod_le_prod_of_subset_of_one_le₀`
* `Finset.prod_le_prod_of_subset_of_le_one` → `Finset.prod_le_prod_of_subset_of_le_one₀`
* `Finset.prod_mono_set_of_one_le` → `Finset.prod_mono_set_of_one_le₀`
* `Finset.prod_anti_set_of_le_one` → `Finset.prod_anti_set_of_le_one₀`
* `Finset.prod_lt_prod` → `Finset.prod_lt_prod₀`
* `Finset.prod_lt_prod_of_nonempty` → `Finset.prod_lt_prod_of_nonempty₀`
## Deprecations
* `Finset.sum_nonneg'`, `Finset.one_le_prod''`
[Zulip](https://leanprover.zulipchat.com/#narrow/channel/345428-mathlib-reviewers/topic/The.20.E2.82.80.20suffix/with/604912624)
---
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t-algebra
t-order
label:t-algebra$ |
317/243 |
Mathlib/Algebra/BigOperators/Finprod.lean,Mathlib/Algebra/Group/Submonoid/Pointwise.lean,Mathlib/Algebra/Order/BigOperators/Group/Finset.lean,Mathlib/Algebra/Order/BigOperators/Group/List.lean,Mathlib/Algebra/Order/BigOperators/Group/Multiset.lean,Mathlib/Algebra/Order/BigOperators/GroupWithZero/Finset.lean,Mathlib/Analysis/Analytic/Composition.lean,Mathlib/Analysis/Asymptotics/SpecificAsymptotics.lean,Mathlib/Analysis/BoxIntegral/DivergenceTheorem.lean,Mathlib/Analysis/Complex/Exponential.lean,Mathlib/Analysis/Complex/JensenFormula.lean,Mathlib/Analysis/InnerProductSpace/Orientation.lean,Mathlib/Analysis/InnerProductSpace/Subspace.lean,Mathlib/Analysis/Normed/Ring/Basic.lean,Mathlib/Analysis/Normed/Ring/InfiniteProd.lean,Mathlib/Analysis/ODE/DiscreteGronwall.lean,Mathlib/Analysis/Polynomial/MahlerMeasure.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Chebyshev/Extremal.lean,Mathlib/Analysis/SpecificLimits/Basic.lean,Mathlib/Geometry/Convex/ConvexSpace/Defs.lean,Mathlib/MeasureTheory/Constructions/Pi.lean,Mathlib/MeasureTheory/Measure/HasOuterApproxClosedProd.lean,Mathlib/MeasureTheory/Measure/Lebesgue/Basic.lean,Mathlib/MeasureTheory/Measure/Lebesgue/VolumeOfBalls.lean,Mathlib/NumberTheory/Bertrand.lean,Mathlib/NumberTheory/Height/Basic.lean,Mathlib/NumberTheory/Height/MvPolynomial.lean,Mathlib/NumberTheory/NumberField/InfinitePlace/Basic.lean,Mathlib/NumberTheory/Primorial.lean,Mathlib/NumberTheory/SelbergSieve.lean,Mathlib/NumberTheory/SiegelsLemma.lean,Mathlib/NumberTheory/SmoothNumbers.lean,Mathlib/Probability/ProductMeasure.lean,Mathlib/RingTheory/Polynomial/Cyclotomic/Eval.lean,Mathlib/Topology/Algebra/InfiniteSum/ENNReal.lean,Mathlib/Topology/Algebra/InfiniteSum/Order.lean |
36 |
17 |
['Vierkantor', 'YaelDillies', 'b-mehta', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts', 'vihdzp'] |
b-mehta assignee:b-mehta |
9-56109 9 days ago |
9-58330 9 days ago |
43-69742 43 days |
| 42783 |
barni120400 author:barni120400 |
feat(Algebra/MvPolynomial): partial derivatives commute |
Add `MvPolynomial.pderiv_comm`: partial derivatives of a multivariate polynomial commute.
🤖 Prepared with Claude Code
|
t-algebra
new-contributor
LLM-generated
label:t-algebra$ |
10/0 |
Mathlib/Algebra/MvPolynomial/PDeriv.lean |
1 |
2 |
['github-actions', 'wwylele'] |
nobody |
9-51541 9 days ago |
12-4817 12 days ago |
12-4855 12 days |
| 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 |
9-48086 9 days ago |
15-51796 15 days ago |
18-69975 18 days |
| 42856 |
plp127 author:plp127 |
chore(FieldTheory/IntermediateField/Adjoin): fix recursors |
Name the motive `motive` and name the minor premises according to their contents. Also make the motive implicit.
The motivation for naming the motive `motive` is to make it consistent across all the recursors, and to give it a more descriptive name, and to make it easier to find recursors by a text search. The motivation for renaming the minor premise arguments is to give them more descriptive names, since they are used as the names of `induction` arms and `cases` arms. The motivation for making the motive implicit is that you usually don't want to fill this in yourself, but rather let `induction` or `cases` or `@[elab_as_elim]` fill it in for you. The motive can still be specified explicitly by writing `(motive := ...)`.
---
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t-algebra label:t-algebra$ |
51/45 |
Mathlib/FieldTheory/IntermediateField/Adjoin/Algebra.lean,Mathlib/FieldTheory/IntermediateField/Adjoin/Defs.lean,Mathlib/FieldTheory/PrimitiveElement.lean,Mathlib/FieldTheory/SeparableDegree.lean |
4 |
4 |
['Vierkantor', 'github-actions', 'plp127'] |
nobody |
9-40264 9 days ago |
9-41361 9 days ago |
9-59517 9 days |
| 41313 |
joelriou author:joelriou |
feat(CategoryTheory/Limits): weighted limits commute with limits |
For a given weight, we show that it commutes with limits. As it had already been shown for the other variable, it follows that weighted limits commute with limits in both variables.
---
- [x] depends on: #41146
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|
t-category-theory
tech debt
|
102/44 |
Mathlib/CategoryTheory/Elements.lean,Mathlib/CategoryTheory/Limits/Elements.lean,Mathlib/CategoryTheory/Limits/Weighted/HasWeightedLimit.lean,Mathlib/CategoryTheory/Limits/Weighted/PreservesLimit.lean,Mathlib/CategoryTheory/Opposites.lean |
5 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
9-23182 9 days ago |
9-23223 9 days ago |
11-3879 11 days |
| 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 |
28/0 |
Mathlib/Combinatorics/SimpleGraph/Girth.lean |
1 |
13 |
['IvanRenison', 'SnirBroshi', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
9-23040 9 days ago |
10-48216 10 days ago |
10-48881 10 days |
| 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 |
38/4 |
Mathlib/Combinatorics/SimpleGraph/Girth.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
9-22263 9 days ago |
39-25555 39 days ago |
52-45081 52 days |
| 41896 |
felixpernegger author:felixpernegger |
chore: replace `simp_all` with `simp` whenever possible |
Replaces `simp_all (only)` with `simp (only)` whenever possible. About 5% of total `simp_all` occurences. Excludes MathlibTest.
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|
100/104 |
Archive/Arithcc.lean,Archive/Imo/Imo2024Q3.lean,Mathlib/Algebra/BigOperators/Intervals.lean,Mathlib/Algebra/Category/Grp/ForgetCorepresentable.lean,Mathlib/Algebra/GroupWithZero/ProdHom.lean,Mathlib/Algebra/Homology/SpectralObject/HasSpectralSequence.lean,Mathlib/Algebra/Module/Torsion/PrimaryComponent.lean,Mathlib/Algebra/MvPolynomial/Basic.lean,Mathlib/Algebra/Polynomial/Basic.lean,Mathlib/Algebra/Polynomial/Expand.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Reduction.lean,Mathlib/Analysis/Analytic/Binomial.lean,Mathlib/Analysis/Complex/Basic.lean,Mathlib/Analysis/Complex/JensenFormula.lean,Mathlib/Analysis/Convex/MetricSpace.lean,Mathlib/Analysis/Meromorphic/Basic.lean,Mathlib/Analysis/Meromorphic/Divisor.lean,Mathlib/Analysis/Meromorphic/FactorizedRational.lean,Mathlib/Analysis/Polynomial/Fourier.lean,Mathlib/Analysis/SpecialFunctions/BinaryEntropy.lean,Mathlib/Analysis/SpecialFunctions/Integrals/PosLogEqCircleAverage.lean,Mathlib/Analysis/SpecialFunctions/Log/PosLog.lean,Mathlib/CategoryTheory/Action/Basic.lean,Mathlib/CategoryTheory/Functor/TypeValuedFlat.lean,Mathlib/CategoryTheory/Topos/Sheaf.lean,Mathlib/Combinatorics/Quiver/Path/Vertices.lean,Mathlib/Combinatorics/SimpleGraph/Clique.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Subgraph.lean,Mathlib/Data/Finsupp/Basic.lean,Mathlib/Data/List/Nodup.lean,Mathlib/Data/List/PeriodicityLemma.lean,Mathlib/Data/List/ProdSigma.lean,Mathlib/Data/List/Sigma.lean,Mathlib/Data/Nat/Digits/Lemmas.lean,Mathlib/Data/PEquiv.lean,Mathlib/Data/PNat/Xgcd.lean,Mathlib/Data/Set/Image.lean,Mathlib/Data/Sym/Sym2.lean,Mathlib/Data/TypeVec.lean,Mathlib/Data/Vector/Basic.lean,Mathlib/Data/ZMod/Basic.lean,Mathlib/Geometry/Manifold/MFDeriv/SpecificFunctions.lean,Mathlib/GroupTheory/PushoutI.lean,Mathlib/LinearAlgebra/Basis/Exact.lean,Mathlib/LinearAlgebra/Finsupp/Pi.lean,Mathlib/MeasureTheory/Constructions/Polish/StronglyMeasurable.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Basic.lean,Mathlib/MeasureTheory/Measure/CharacteristicFunction/TaylorExpansion.lean,Mathlib/MeasureTheory/Measure/PreVariation.lean,Mathlib/NumberTheory/Height/MvPolynomial.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/Defs.lean,Mathlib/NumberTheory/Padics/PadicNumbers.lean,Mathlib/Order/ScottContinuity/Prod.lean,Mathlib/Order/SetDissipate.lean,Mathlib/Order/SuccPred/Basic.lean,Mathlib/Order/WithBot.lean,Mathlib/Probability/Kernel/Deterministic.lean,Mathlib/Probability/Kernel/Representation.lean,Mathlib/RepresentationTheory/Homological/TateCohomology/Basic.lean,Mathlib/RepresentationTheory/Tannaka.lean,Mathlib/RingTheory/Adjoin/Polynomial/Bivariate.lean,Mathlib/RingTheory/Binomial.lean,Mathlib/RingTheory/DiscreteValuationRing/Basic.lean,Mathlib/RingTheory/HahnSeries/Basic.lean,Mathlib/RingTheory/HahnSeries/Multiplication.lean,Mathlib/RingTheory/HahnSeries/Summable.lean,Mathlib/RingTheory/Multiplicity.lean,Mathlib/RingTheory/Nilpotent/Exp.lean,Mathlib/RingTheory/OrderOfVanishing/Basic.lean,Mathlib/RingTheory/OrderOfVanishing/Noetherian.lean,Mathlib/RingTheory/PowerSeries/Schroder.lean,Mathlib/RingTheory/Valuation/Basic.lean,Mathlib/RingTheory/Valuation/Discrete/Basic.lean,Mathlib/RingTheory/Valuation/IsTrivialOn.lean,Mathlib/RingTheory/Valuation/ValuativeRel/Basic.lean,Mathlib/SetTheory/Lists.lean,Mathlib/Topology/LocallyFinsupp.lean,Mathlib/Topology/MetricSpace/Bounded.lean |
78 |
26 |
['felixpernegger', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts', 'themathqueen', 'vlad902'] |
nobody |
9-20165 9 days ago |
9-23353 9 days ago |
37-51312 37 days |
| 42560 |
SnirBroshi author:SnirBroshi |
feat(Order/Preorder/Chain): `List.IsChain` implies `IsChain` for transitive relations |
---
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[](https://gitpod.io/from-referrer/)
|
t-order
easy
maintainer-merge
|
5/0 |
Mathlib/Order/Preorder/Chain.lean |
1 |
5 |
['Ruben-VandeVelde', 'SnirBroshi', 'bocowgill', 'github-actions'] |
nobody |
9-13869 9 days ago |
18-81593 18 days ago |
18-81580 18 days |
| 41433 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Paths): more path/circuit/cycle lemmas |
- two `(p.append q).IsPath` lemmas (splitting to either `p` & `q.tail` or `p.dropLast` & `q`)
- `p.reverse.IsCircuit`
- `p.IsTrail → p.{take/drop/tail/dropLast}.IsTrail`
- `p.dropLast.IsPath ↔ p.tail.IsPath`
- `p.IsCycle ↔ p.dropLast.IsPath ∧ 3 ≤ p.length`
---
Golfs a few small things using the new lemmas as a drive by.
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|
t-combinatorics |
50/15 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean |
1 |
1 |
['github-actions'] |
nobody |
9-13806 9 days ago |
48-45936 48 days ago |
50-77809 50 days |
| 42405 |
FrankieNC author:FrankieNC |
perf(Data/Rel): use `grind` instead of `aesop` |
Most of the elaboration time of `Mathlib/Data/Rel.lean` goes into its 55 `aesop` calls. Replacing most of them with a single `grind` call and the relevant `mem_*` lemma keeps every proof to one automation call and cuts the elaboration time of the file by about half (on my PC).
---
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|
t-data |
71/56 |
Mathlib/Data/Rel.lean |
1 |
20 |
['FrankieNC', 'chenson2018', 'github-actions', 'grunweg', 'leanprover-radar'] |
nobody |
9-11722 9 days ago |
9-13901 9 days ago |
23-1117 23 days |
| 42731 |
martinwintermath author:martinwintermath |
feat(LinearAlgebra/Dimension): add corank for submodules |
Adds
```lean4
noncomputable def corank (p : Submodule R M) : Cardinal :=
Module.rank R (M ⧸ p)
```
and basic lemmas.
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
107/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Dimension/Corank.lean |
2 |
1 |
['github-actions'] |
nobody |
9-10366 9 days ago |
13-33173 13 days ago |
13-33160 13 days |
| 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'] |
sgouezel assignee:sgouezel |
9-10161 9 days ago |
20-30140 20 days ago |
72-75174 72 days |
| 42881 |
forxhunter author:forxhunter |
feat(Analysis/SpecialFunctions/Gamma): Mittag-Leffler expansion of the Beta function |
For `0 < re u` and `0 < re v`, the Beta function admits the classical absolutely
convergent partial-fraction (Mittag-Leffler) expansion over its poles in the first
variable:
`Β(u, v) = ∑' n : ℕ, Ring.choose (n - v) n / (n + u)` (`Complex.hasSum_betaIntegral`),
where `Ring.choose (n - v) n = (1 - v)⁽ⁿ⁾ / n!` is the `n`-th binomial-series
coefficient of `x ↦ (1 - x) ^ (v - 1)`. The proof expands the Euler integral
`Complex.betaIntegral` by the binomial series
(`Complex.one_div_one_sub_cpow_hasFPowerSeriesOnBall_zero`) and integrates term by
term via `MeasureTheory.hasSum_integral_of_summable_integral_norm`.
Main new results, in `Mathlib/Analysis/SpecialFunctions/Gamma/BetaMittagLeffler.lean`:
* `Ring.choose_add_natCast_eq_prod_range`:
`Ring.choose (t + n) n = ∏ k < n, (t + k + 1) / (k + 1)` in a characteristic-zero
field (the rising-factorial form `(t + 1)⁽ⁿ⁾ / n!` with the factorial distributed
into the product).
* `Complex.norm_ringChoose_add_natCast_le`: the Stirling-free growth bound
`‖Ring.choose (t + n) n‖ ≤ Real.exp (normSq t) * (n + 1) ^ t.re` for `t.re ≤ 0`.
Mathlib has no complex Stirling formula and no `Γ`-ratio asymptotics, so the
textbook route via `Ring.choose (t + n) n ∼ n ^ t / Γ (t + 1)` is unavailable; the
proof instead applies `Real.log (1 + u) ≤ u` to each factor of the product above and
sums against `Real.log (n + 1) ≤ harmonic n` and the telescoping bound
`∑ k < n, 1 / (k + 1) ^ 2 ≤ 2 - 2 / (n + 1)`. This bound is what makes the pole
series absolutely convergent (`Complex.summable_norm_ringChoose_div`) for
`t.re < 0`, a restriction that is sharp: at `t = 0` the series is harmonic.
* `Complex.hasSum_ringChoose_mul_pow`: the binomial series
`(1 - x) ^ (-t - 1) = ∑' n, Ring.choose (t + n) n * x ^ n` on the open unit disc,
in `HasSum` form.
* `integral_Ioo_cpow` / `integral_Ioo_rpow`: `∫ x in Ioo 0 1, x ^ w = 1 / (w + 1)`,
`Ioo`-restricted versions of `integral_cpow` / `integral_rpow`.
Motivation: this arises from an ongoing Lean formalization of dispersion relations
and positivity bounds in effective field theory, where the Beta function (the
tree-level Veneziano amplitude at fixed momentum transfer) serves as the witness for
a dispersive spectral representation; the expansion above is exactly its pole/residue
form. The material here is the physics-free analytic core, stated purely in terms of
`Complex.betaIntegral` and `Ring.choose`.
**AI disclosure**: this PR was substantially generated with Claude Code (Anthropic) —
proof scripts, the Stirling-free bounding strategy, and the port to current master.
It is opened as a **draft** while the human author reviews the content; it will be
marked ready only after that review, per the policy that contributors must understand
and be able to defend AI-assisted contributions. The `LLM-generated` label applies
and should be added by a maintainer.
awaiting-author items (will be resolved before marking ready):
- [x] Author review of the full file per the AI-contribution policy: done.
- [x] The `Authors:` line is finalized as `Tianyu (forxhunter)`
- [ ] If reviewers prefer, `Ring.choose_add_natCast_eq_prod_range` can move to
`Mathlib/RingTheory/Binomial.lean` and `integral_Ioo_cpow` / `integral_Ioo_rpow`
to `Mathlib/Analysis/SpecialFunctions/Integrals/Basic.lean`; they are kept in the
new file for now to keep the PR single-file.
---
Possible follow-ups (not in this PR): positivity of `Ring.choose (t + n) n` for real
`t > -1` (and its sharpness at `t < -1`), and the residue identification of
`u ↦ Β(u, v)` at `u = -n` as a `Tendsto`/`meromorphicAt` statement.
|
new-contributor
t-analysis
|
425/0 |
Mathlib.lean,Mathlib/Analysis/SpecialFunctions/Gamma/BetaMittagLeffler.lean |
2 |
2 |
['github-actions'] |
nobody |
9-9351 9 days ago |
9-9945 9 days ago |
9-10122 9 days |
| 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 |
9-5025 9 days ago |
9-14514 9 days ago |
24-8108 24 days |
| 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 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
9-3150 9 days ago |
9-4243 9 days ago |
40-6296 40 days |
| 42873 |
teorth author:teorth |
feat(Algebra/Order/Chebyshev): the Cauchy–Schwarz inequality for multisets |
Add `Multiset.sq_sum_le_card_mul_sum_sq`, the multiset analogue of the existing `sq_sum_le_card_mul_sum_sq`: `m.sum ^ 2 ≤ m.card * (m.map (· ^ 2)).sum`. It is derived from the `Finset` version via `Multiset.toEnumFinset`, combined with a new helper lemma `Multiset.sum_map_eq_sum_toEnumFinset` to convert between `Multiset.sum` and `Finset.sum` when a `Multiset.map` is involved.
---
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-algebra label:t-algebra$ |
15/0 |
Mathlib/Algebra/Order/Chebyshev.lean,Mathlib/Data/Multiset/Fintype.lean |
2 |
8 |
['felixpernegger', 'github-actions', 'teorth'] |
nobody |
9-2772 9 days ago |
9-6722 9 days ago |
9-23446 9 days |
| 42069 |
plp127 author:plp127 |
feat: isomorphism of `AdjoinRoot (f.comp g)` |
Prove that adjoining a root of `f.comp g` (this is `f(g(x))`) is the same as adjoining a root of `f` first, and then adjoining a root of `g - root f`.
---
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|
t-ring-theory |
74/0 |
Mathlib/RingTheory/AdjoinRoot.lean |
1 |
1 |
['github-actions'] |
nobody |
9-2483 9 days ago |
33-11198 33 days ago |
33-12204 33 days |
| 41967 |
peakpoint author:peakpoint |
feat(Data/Set/Finite): `Set.Finite.sigma` |
---
might be worth extracting the corresponding lemma for pi types too
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|
t-data
maintainer-merge
|
56/2 |
Mathlib.lean,Mathlib/Data/Finite/Sigma.lean,Mathlib/Logic/Equiv/Prod.lean,Mathlib/Logic/Equiv/Sigma.lean |
4 |
4 |
['Ruben-VandeVelde', 'Vierkantor', 'github-actions', 'peakpoint'] |
nobody |
8-83305 8 days ago |
8-86379 8 days ago |
36-32472 36 days |
| 40534 |
mcdoll author:mcdoll |
feat(Algebra): introduce notation typeclass for composition of functions |
This PR defines two new typeclasses: `FComp` and `IsCompApply`. The former is just a notation typeclass with notation `(g ∘ᶠ f)` and the second one asserts that `(g ∘ᶠ f) x = g (f x)`.
---
There are two PRs that illustrate the use of these classes: #41169 and #41224
The second one is closer to what we actually implement here, but not sorry-free (because I ran into unrelated defeq abuse pretty far down the line)
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|
t-algebra label:t-algebra$ |
108/15 |
Mathlib/Algebra/Notation/Defs.lean,Mathlib/Algebra/SkewMonoidAlgebra/Basic.lean,Mathlib/Analysis/Calculus/ContDiff/Bounds.lean,Mathlib/Data/FunLike/IsApply.lean,Mathlib/Geometry/Manifold/GroupLieAlgebra.lean,Mathlib/Geometry/Manifold/VectorField/LieBracket.lean,Mathlib/NumberTheory/Height/Basic.lean,Mathlib/Probability/Distributions/Gaussian/HasGaussianLaw/Independence.lean,Mathlib/RingTheory/Coalgebra/Basic.lean,Mathlib/Topology/VectorBundle/Hom.lean |
10 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
8-82316 8 days ago |
8-85490 8 days ago |
48-57890 48 days |
| 37723 |
xgenereux author:xgenereux |
feat(Adjoin/Polynomial/Transcendental): Adjoining transcendental elements |
This PR establishes some basic properties about `A[y]` when `y` is transcendental over `A`. These are mostly just carried over from `A[X]`.
- Move `algEquivOfTranscendental` in the newly created file `Mathlib.RingTheory.Adjoin.Polynomial.Transcendental`
- Add `Algebra.adjoin.evalOfTranscendental`. This is technically very similar to `Algebra.adjoin.liftSingleton` but the definition is much simpler. It is also currently more general in the sense that it doesn't require `A` to be a field.
- Some basic instances from `Polynomial`. Note that these are actually theorems because of the hypothesis `(h : Transcendental R s)` everywhere. I've also added a `Fact` version to allow the possibility of instances.
Last note : I initially considered adding some results in `RingTheory.Polynomial.Quotient` where I golfed the file a tiny bit. I removed the unused results but kept the golf.
AI disclaimer : I used Claude to give me some feedback on the PR.
Co-authored-by: María Inés de Frutos Fernández <[mariaines.dff@gmail.com](mailto:mariaines.dff@gmail.com)>
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|
t-ring-theory |
167/69 |
Mathlib.lean,Mathlib/FieldTheory/RatFunc/AsPolynomial.lean,Mathlib/RingTheory/Adjoin/Polynomial/Basic.lean,Mathlib/RingTheory/Adjoin/Polynomial/Bivariate.lean,Mathlib/RingTheory/Adjoin/Polynomial/Transcendental.lean,Mathlib/RingTheory/Algebraic/Basic.lean,Mathlib/RingTheory/Polynomial/Quotient.lean |
7 |
6 |
['github-actions', 'leanprover-radar', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'riccardobrasca'] |
mattrobball assignee:mattrobball |
8-81460 8 days ago |
31-46462 31 days ago |
74-7124 74 days |
| 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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|
t-algebra
new-contributor
label:t-algebra$ |
169/142 |
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 |
16 |
['github-actions', 'leanprover-radar', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mortarsanjaya', 'themathqueen'] |
jjdishere assignee:jjdishere |
8-81459 8 days ago |
8-85739 8 days ago |
69-41921 69 days |
| 40791 |
vvvv-ops author:vvvv-ops |
feat(RingTheory/DedekindDomain): dirichlet's s-unit theorem |
Proves the `Future work` of `RingTheory/DedekindDomain/SInteger.lean`: finite generation of `S`-units and Dirichlet's `S`-unit theorem.
For a Dedekind domain `R` with fraction field `K` and a finite set `S` of height-one primes, this adds the `S`-valuation map `Set.unitValuation` with kernel the `∅`-units (`Set.unitValuation_ker`), finite generation `Set.unit_fg`, and the exact rank `Set.finrank_eq`: `finrank ℤ (Additive 𝒪_{K,S}ˣ) = finrank ℤ (Additive 𝒪_Kˣ) + |S|`, plus the number-field specialisation `Set.unit_finrank_numberField` (`= (r₁ + r₂ - 1) + |S|`). The proof uses the short exact sequence `1 → 𝒪_Kˣ → 𝒪_{K,S}ˣ → ⊕_{v∈S} ℤ`: the kernel is the units, and the image has finite index because its cokernel embeds in the (finite) class group.
The general finiteness helpers `Module.Finite.of_fg_ker_of_fg_range`, `CommGroup.fg_of_fg_ker_of_fg_range`, `Subgroup.fg_of_fg_commGroup` are included in the file for now — happy to move them to `RingTheory/Finiteness` / `GroupTheory/Finiteness` if preferred.
|
t-ring-theory
new-contributor
|
339/0 |
Mathlib.lean,Mathlib/RingTheory/DedekindDomain/SUnit.lean,scripts/noshake.json |
3 |
3 |
['github-actions'] |
jjdishere assignee:jjdishere |
8-81452 8 days ago |
68-68566 68 days ago |
68-68553 68 days |
| 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 |
285/0 |
Mathlib.lean,Mathlib/Init.lean,Mathlib/Util/PrivateProof.lean,MathlibTest/Util/PrivateProof.lean |
4 |
5 |
['JovanGerb', 'github-actions', 'thorimur'] |
JovanGerb assignee:JovanGerb |
8-81450 8 days ago |
12-64616 12 days ago |
18-64532 18 days |
| 42859 |
Scarlett-le author:Scarlett-le |
feat(Geometry/Euclidean/Sphere): line or orthogonal radius through two points |
feat(Geometry/Euclidean/Sphere): line or orthogonal radius through two points
Define `Sphere.lineOrOrthRadius`, the affine subspace through two points,
or the orthogonal radius (tangent) at that point when they coincide.
Provide the basic API: membership of both endpoints, commutativity, and a
characterization of its intersection with the sphere as exactly the two
endpoints.
Split off from #34164. |
t-euclidean-geometry |
65/0 |
Mathlib/Geometry/Euclidean/Sphere/OrthRadius.lean |
1 |
1 |
['github-actions'] |
jsm28 assignee:jsm28 |
8-81449 8 days ago |
9-59157 9 days ago |
9-59144 9 days |
| 41539 |
rmhi author:rmhi |
chore(RepresentationTheory/Homological/ContCohomology): refactor functoriality |
Currently, functoriality of continuous cohomology is given by `ContCohomology.map`, which takes
a continuous group homomorphism \phi and an intertwining map f: res \phi X \to Y and returns a map from the
continuous cohomology of X to the continuous cohomology of Y.
The problem with this is that `ContCohomology.map` does not have a natural type such as Functor or NatTrans.
In this PR, we split `ContCohomology.map` as a composition of `(continuousCohomologyFunctor _ _ _).map` and a restriction map in continuous cohomology, which is defined as a natural transformation `resNatTrans`.
co-authored-by: Edison Xie @Whysoserioushah
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|
t-algebra label:t-algebra$ |
499/74 |
Mathlib/RepresentationTheory/Continuous/Basic.lean,Mathlib/RepresentationTheory/Continuous/TopRep.lean,Mathlib/RepresentationTheory/Homological/ContCohomology/Functoriality.lean,Mathlib/Topology/CompactOpen.lean |
4 |
13 |
['JX-Mo', 'github-actions', 'riccardobrasca', 'rmhi'] |
nobody |
8-80551 8 days ago |
30-25349 30 days ago |
42-13501 42 days |
| 41466 |
EzequielS2 author:EzequielS2 |
feat(Algebra/Order): stronger sublist product inequality via diff |
## Summary
Add `Sublist.prod_le_prod'_of_mem_diff` and `Sublist.sum_le_sum_of_mem_diff`.
## Test plan
- [x] `lake build` and `lake exe runLinter` on `Mathlib.Algebra.Order.BigOperators.Group.List`
|
t-algebra
new-contributor
label:t-algebra$ |
12/4 |
Mathlib/Algebra/Order/BigOperators/Group/List.lean |
1 |
7 |
['EzequielS2', 'github-actions', 'themathqueen', 'wwylele'] |
nobody |
8-78743 8 days ago |
8-81022 8 days ago |
50-11572 50 days |
| 42880 |
plp127 author:plp127 |
feat(Data/EReal): prove theorem `EReal.recENNReal_neg_coe_ennreal` |
Prove the theorem `EReal.recENNReal_neg_coe_ennreal`. This cleans up a `proof_wanted`. Also unexpose `EReal.recENNReal` because it uses an if-then-else block on a classical decidability instance, which will not reduce.
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|
file-removed
t-data
|
14/26 |
Mathlib/Data/EReal/Operations.lean,Wanted.lean,Wanted/Data/EReal/Operations.lean |
3 |
2 |
['FrankieNC', 'github-actions'] |
nobody |
8-52998 8 days ago |
9-14961 9 days ago |
9-14948 9 days |
| 42890 |
tb65536 author:tb65536 |
feat(GroupTheory/SpecificGroups/Alternating/Simple): small symmetric groups and alternating groups are solvable |
This PR proves that A_n and S_n is solvable for n <= 4.
---
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|
t-algebra
t-group-theory
label:t-algebra$ |
42/13 |
Mathlib/GroupTheory/Abelianization/Defs.lean,Mathlib/GroupTheory/Commutator/Basic.lean,Mathlib/GroupTheory/CommutingProbability.lean,Mathlib/GroupTheory/Solvable.lean,Mathlib/GroupTheory/SpecificGroups/Alternating/Simple.lean |
5 |
2 |
['github-actions'] |
nobody |
8-52585 8 days ago |
8-52634 8 days ago |
8-52623 8 days |
| 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 |
8-49909 8 days ago |
9-62897 9 days ago |
9-77760 9 days |
| 42872 |
JovanGerb author:JovanGerb |
chore(CategoryTheory/Limits/HasLimits): use `to_dual` more |
This PR continues the work of #41017 to use `to_dual` in `CategoryTheory.Limits.HasLimits`.
Notes:
- A few theorems like `ι_isoOfEquivalence_hom` has their type changed, because the old version wasn't actually dual to the supposed dual version. As a result, a proof in `Mathlib/CategoryTheory/Limits/Shapes/Products.lean` could be simplified.
- A few theorems like `isoOfNatIso_ι_hom` were renamed to `ι_isoOfNatIso_hom`, which is a more accurate name.
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tech debt
t-category-theory
|
104/378 |
Mathlib/CategoryTheory/Limits/Final.lean,Mathlib/CategoryTheory/Limits/Fubini.lean,Mathlib/CategoryTheory/Limits/HasLimits.lean,Mathlib/CategoryTheory/Limits/Preserves/Grothendieck.lean,Mathlib/CategoryTheory/Limits/Preserves/Presheaf.lean,Mathlib/CategoryTheory/Limits/Shapes/Products.lean,Mathlib/CategoryTheory/Sites/CompatiblePlus.lean,Mathlib/CategoryTheory/Sites/LeftExact.lean,Mathlib/Geometry/RingedSpace/OpenImmersion.lean |
9 |
1 |
['github-actions'] |
nobody |
8-37380 8 days ago |
8-38759 8 days ago |
8-41322 8 days |
| 42745 |
JovanGerb author:JovanGerb |
chore: remove outdated adaptation notes after #42161 |
This PR removes some adaptation notes that I forgot to remove in #42161.
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tech debt
t-category-theory
|
0/4 |
Mathlib/CategoryTheory/Limits/IsLimit.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
8-29882 8 days ago |
8-33317 8 days ago |
12-23453 12 days |
| 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 |
8-28680 8 days ago |
8-32034 8 days ago |
8-32023 8 days |
| 42451 |
FawadHa1der author:FawadHa1der |
perf(Analysis/Distribution/SchwartzSpace): split denseRange_toLpCLM off Basic to shorten the longest pole |
Shortening the "longest pole" in the mathlib build. LLM help was used.
Per [lake prof report](https://speed.lean-lang.org/mathlib4-out/c8830a1d9ceaffabd7c8c7493d9a9be3ead6ea74/) SchwartzSpace/Basic.lean sits on the longest pole. With this change SchwartzSpace/Basic no longer imports SmoothApprox( which imported the whole manifold chain) hence shortening the longest pole by **23s** of ~502 s
denseRange_toLpCLM is moved to a new file SchwartzSpace/DenseLp.lean. |
t-analysis
new-contributor
longest-pole
|
58/16 |
Mathlib.lean,Mathlib/Analysis/Distribution/SchwartzSpace/Basic.lean,Mathlib/Analysis/Distribution/SchwartzSpace/DenseLp.lean,Mathlib/Analysis/Fourier/LpSpace.lean |
4 |
8 |
['FawadHa1der', 'github-actions', 'luigi-massacci', 'mathlib-merge-conflicts'] |
nobody |
8-28489 8 days ago |
8-30021 8 days ago |
15-44785 15 days |
| 42843 |
than4213 author:than4213 |
feat(Combinatorics/SimpleGraph): transition matrix of the simple random walk |
Adds SimpleGraph.walkMatrix, the transition matrix of the simple random walk on a graph: row v is the uniform distribution on the neighbours of v. This is SimpleGraph.adjMatrix with each row divided by G.degree v, turning adjacency counts into transition probabilities.
Main results are that the matrix is row stochastic, and hence so is G.walkMatrix ^ n — the latter follows immediately from Matrix.rowStochastic being a Submonoid.
Two choices worth flagging:
- Valued in ℚ. Every entry is (G.degree v)⁻¹, so nothing irrational arises. This keeps entries computable — #eval evaluates G.walkMatrix ^ n on a concrete graph.
- Placed in Combinatorics/SimpleGraph. The file imports no probability theory, only Mathlib.LinearAlgebra.Matrix.Stochastic, and sits alongside adjMatrix, incMatrix and lapMatrix.
The walk is undefined at isolated vertices, so the results take ∀ v, ¬ G.IsIsolated v.
Used Claude Code in the creation of this PR. |
t-combinatorics
new-contributor
LLM-generated
|
107/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/RandomWalk.lean |
2 |
8 |
['SnirBroshi', 'github-actions', 'than4213'] |
nobody |
8-28312 8 days ago |
8-29655 8 days ago |
8-85863 8 days |
| 41362 |
JovanGerb author:JovanGerb |
perf(Algebra/MonoidAlgebra): `no_expose` the `Add` instance |
This PR uses `no_expose` for the `Add` instance of `MonoidAlgebra`. This improve performance a bit. Other operations may be `no_exposed` analogously in the future.
This requires a change in `fast_instance%`, namely to let it unfold private definitions in its defeq checks. This is a bit hacky, but it does work.
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|
|
55/36 |
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/Eval.lean,Mathlib/Algebra/Polynomial/Basic.lean,Mathlib/Algebra/Polynomial/Coeff.lean,Mathlib/RingTheory/Extension/Presentation/Basic.lean,Mathlib/RingTheory/MvPowerSeries/Basic.lean,Mathlib/Tactic/FastInstance.lean |
15 |
11 |
['JovanGerb', 'github-actions', 'kbuzzard', 'leanprover-radar', 'mathlib-bors', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
8-27565 8 days ago |
8-32963 8 days ago |
8-33044 8 days |
| 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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|
201/201 |
Mathlib/Algebra/BigOperators/Pi.lean,Mathlib/Algebra/Lie/Weights/Basic.lean,Mathlib/Algebra/Order/Group/End.lean,Mathlib/Algebra/Order/Module/PositiveLinearMap.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/Data/FunLike/Group.lean,Mathlib/Data/FunLike/IsApply.lean,Mathlib/Data/FunLike/Module.lean,Mathlib/Data/FunLike/Ring.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/SlashInvariantForms.lean,Mathlib/NumberTheory/Padics/Measure/Basic.lean,Mathlib/Probability/Kernel/Defs.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 |
26 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
8-26996 8 days ago |
8-29794 8 days ago |
12-64286 12 days |
| 39993 |
Brian-Nugent author:Brian-Nugent |
feat(Topology/CategoryTheory): TopologicalSpace.Opens.map preserves colimits and finite limits |
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|
t-topology
t-category-theory
|
24/2 |
Mathlib/Topology/Category/TopCat/Opens.lean |
1 |
6 |
['Brian-Nugent', 'dagurtomas', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
8-26254 8 days ago |
8-26254 8 days ago |
43-63335 43 days |
| 42897 |
martinwintermath author:martinwintermath |
feat(Geometry/Convex/Cone): add notation for conic hull of singleton |
Add notation `R ∙₊ x` for `hull R {x}` in analogy to existing submodule notation. Add lemmas
* `mem_hull_singleton` proving `y ∈ R ∙₊ x ↔ ∃ r : R, 0 ≤ r ∧ r • x = y`
* `le_hull_singleton_iff` proving `C ≤ R ∙₊ x ↔ ∀ y ∈ C, ∃ r : R, 0 ≤ r ∧ r • x = y`
These are analogues of respective lemmas for submodule span. I only rewrote those lemmas for which the corresponding span lemma cannot be used directly.
---
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|
t-convex-geometry |
23/0 |
Mathlib/Geometry/Convex/Cone/Pointed.lean |
1 |
1 |
['github-actions'] |
nobody |
8-24091 8 days ago |
8-37784 8 days ago |
8-37771 8 days |
| 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 |
355/0 |
Mathlib.lean,Mathlib/Topology/MetricSpace/Cover.lean,Mathlib/Topology/MetricSpace/CoveringNumbers.lean,Mathlib/Topology/MetricSpace/MinkowskiDimension.lean,docs/references.bib |
5 |
2 |
['github-actions'] |
CoolRmal assignee:CoolRmal |
8-23781 8 days ago |
34-1003 34 days ago |
34-1121 34 days |
| 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 |
8-21524 8 days ago |
8-38626 8 days ago |
8-39567 8 days |
| 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 |
46/5 |
Mathlib/RingTheory/MvPolynomial/Symmetric/Defs.lean |
1 |
8 |
['felixpernegger', 'github-actions', 'teorth', 'vlad902'] |
nobody |
8-17015 8 days ago |
8-18826 8 days ago |
9-22104 9 days |
| 42456 |
homeowmorphism author:homeowmorphism |
feat(Order/Monoid/Unbundled): make `mulLeftMono_of_mulLeftStrictMono` and `mulRightMono_of_mulRightStrictMono` instances. |
In response to feedback on https://github.com/leanprover-community/mathlib4/pull/41505#discussion_r3649455798.
---
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|
t-order
maintainer-merge
|
317/8 |
Counterexamples/OrderedCancelAddCommMonoidWithBounds.lean,Mathlib/Algebra/AddConstMap/Basic.lean,Mathlib/Algebra/BigOperators/Finprod.lean,Mathlib/Algebra/Order/AbsoluteValue/Basic.lean,Mathlib/Algebra/Order/Archimedean/Basic.lean,Mathlib/Algebra/Order/Archimedean/Defs.lean,Mathlib/Algebra/Order/BigOperators/Expect.lean,Mathlib/Algebra/Order/BigOperators/Group/Finset.lean,Mathlib/Algebra/Order/Field/Basic.lean,Mathlib/Algebra/Order/Group/Basic.lean,Mathlib/Algebra/Order/Group/Defs.lean,Mathlib/Algebra/Order/Group/PiLex.lean,Mathlib/Algebra/Order/Group/Pointwise/Interval.lean,Mathlib/Algebra/Order/Group/PosPart.lean,Mathlib/Algebra/Order/Hom/Monoid.lean,Mathlib/Algebra/Order/Interval/Basic.lean,Mathlib/Algebra/Order/Interval/Set/Group.lean,Mathlib/Algebra/Order/Interval/Set/Instances.lean,Mathlib/Algebra/Order/Interval/Set/Monoid.lean,Mathlib/Algebra/Order/Module/Defs.lean,Mathlib/Algebra/Order/Monoid/Canonical/Basic.lean,Mathlib/Algebra/Order/Monoid/LocallyFiniteOrder.lean,Mathlib/Algebra/Order/Monoid/Prod.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Defs.lean,Mathlib/Algebra/Order/Monovary.lean,Mathlib/Algebra/Order/Positive/Ring.lean,Mathlib/Algebra/Order/Ring/Basic.lean,Mathlib/Algebra/Order/Ring/Defs.lean,Mathlib/Algebra/Order/Ring/GeomSum.lean,Mathlib/Algebra/Order/Star/Conjneg.lean,Mathlib/Analysis/Convex/Basic.lean,Mathlib/Analysis/Convex/Between.lean,Mathlib/Analysis/Convex/Function.lean,Mathlib/Analysis/Convex/Jensen.lean,Mathlib/Analysis/Convex/Segment.lean,Mathlib/Analysis/Convex/Side.lean,Mathlib/Analysis/Convex/Star.lean,Mathlib/Analysis/Convex/Strict.lean,Mathlib/Analysis/RCLike/Basic.lean,Mathlib/Combinatorics/Additive/AP/Three/Defs.lean,Mathlib/Combinatorics/Additive/CauchyDavenport.lean,Mathlib/Combinatorics/Enumerative/DoubleCounting.lean,Mathlib/Combinatorics/Optimization/ValuedCSP.lean,Mathlib/Data/Finset/MulAntidiagonal.lean,Mathlib/Data/Multiset/Sum.lean,Mathlib/Geometry/Convex/Cone/Basic.lean,Mathlib/GroupTheory/MonoidLocalization/Order.lean,Mathlib/LinearAlgebra/AffineSpace/Ordered.lean,Mathlib/LinearAlgebra/AffineSpace/Simplex/Basic.lean,Mathlib/LinearAlgebra/AffineSpace/Slope.lean,Mathlib/LinearAlgebra/Matrix/PosDef.lean,Mathlib/LinearAlgebra/Ray.lean,Mathlib/LinearAlgebra/RootSystem/Base.lean,Mathlib/ModelTheory/Arithmetic/Presburger/Semilinear/Basic.lean,Mathlib/NumberTheory/Zsqrtd/Basic.lean,Mathlib/Order/Monotone/Odd.lean,Mathlib/RingTheory/MvPowerSeries/Derivative.lean,Mathlib/RingTheory/MvPowerSeries/Inverse.lean,Mathlib/RingTheory/Polynomial/Pochhammer.lean,Mathlib/RingTheory/UniqueFactorizationDomain/NormalizedFactors.lean,Mathlib/Tactic/Linarith/Lemmas.lean,Mathlib/Tactic/LinearCombination/Lemmas.lean,Mathlib/Tactic/Positivity/Finset.lean,Mathlib/Tactic/Ring/Compare.lean,Mathlib/Topology/Algebra/Group/Basic.lean,Mathlib/Topology/Algebra/InfiniteSum/Order.lean,Mathlib/Topology/Algebra/IsUniformGroup/Order.lean,Mathlib/Topology/Semicontinuity/Basic.lean,MathlibTest/Tactic/LinearCombination.lean |
69 |
34 |
['YaelDillies', 'github-actions', 'homeowmorphism', 'leanprover-radar', 'riccardobrasca'] |
nobody |
8-5006 8 days ago |
8-12590 8 days ago |
9-24871 9 days |
| 42875 |
SnirBroshi author:SnirBroshi |
perf(Order/CompleteLattice/PiLex): exclude `iInf_of_isEmpty` in the `simp` call in `sInf_apply` |
`iInf_of_isEmpty` was tagged `simp` in #38859, which caused this specific proof to go from <10ms to ~2.5 seconds.
[#rss > Significant commits to mathlib4 @ 💬](https://leanprover.zulipchat.com/#narrow/channel/116290-rss/topic/Significant.20commits.20to.20mathlib4/near/616795278)
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|
t-order
maintainer-merge
|
2/1 |
Mathlib/Order/CompleteLattice/PiLex.lean |
1 |
7 |
['SnirBroshi', 'github-actions', 'grunweg', 'leanprover-radar'] |
nobody |
8-4455 8 days ago |
9-22670 9 days ago |
9-22657 9 days |
| 42920 |
themathqueen author:themathqueen |
feat(Topology/Algebra/LinearMapCompletion): `f.extend toComplL = f.fromCompletion` |
---
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|
t-topology |
6/0 |
Mathlib/Topology/Algebra/LinearMapCompletion.lean |
1 |
1 |
['github-actions'] |
nobody |
8-3997 8 days ago |
8-5137 8 days ago |
8-5179 8 days |
| 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.
---
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|
CI |
28/6 |
.github/workflows/add_label_from_diff.yaml,scripts/autolabel.lean |
2 |
2 |
['SnirBroshi', 'github-actions'] |
nobody |
8-3075 8 days ago |
8-4593 8 days ago |
8-4580 8 days |
| 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'`.
---
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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 |
8-1285 8 days ago |
8-6564 8 days ago |
8-6553 8 days |
| 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$ |
42/39 |
Mathlib/RingTheory/RamificationInertia/Ramification.lean |
1 |
1 |
['github-actions'] |
nobody |
8-490 8 days ago |
8-549 8 days ago |
8-537 8 days |
| 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 |
5 |
['github-actions', 'leanprover-radar', 'mathlib-merge-conflicts', 'plp127'] |
nobody |
7-85181 7 days ago |
8-347 8 days ago |
30-21039 30 days |
| 40081 |
xroblot author:xroblot |
chore(Algebra/Algebra/Subalgebra): lower priority of Module instance |
Lower the priority of `Subalgebra.instModuleSubtypeMem` from default (1000) to `low` (100).
This instance uses `inferInstance`, which re-triggers typeclass synthesis and can be expensive
to succeed. Lowering the priority makes it a fallback when cheaper paths are available.
Benchmark results show no regressions and meaningful speedups on several files
(up to -23% on `Mathlib.LinearAlgebra.TensorProduct.Subalgebra`).
:robot: Prepared with Claude Code |
t-algebra label:t-algebra$ |
1/1 |
Mathlib/Algebra/Algebra/Subalgebra/Basic.lean |
1 |
7 |
['github-actions', 'leanprover-radar', 'plp127', 'xroblot'] |
joneugster assignee:joneugster |
7-81458 7 days ago |
87-12850 87 days ago |
87-12879 87 days |
| 40899 |
mcdoll author:mcdoll |
feat(Data/FunLike): add `abbrev`s for pointwise multiplication |
We add `abbrev`s that provide easy access to instances that involve multiplication as a pointwise operation for `FunLike` classes. This is for example needed for `ZeroAtInftyContinuousMap`
Moreover, we
- move `NatCast` instance for `Pi` to new file `Data/Nat/Cast/Pi`
- rename `IsNatCastApply` to `IsNatCastApplyEqSMul` for the composition variant (same for `IntCast`)
- add `IsNatCast` for pointwise multiplication (same for `IntCast`)
- rename `abbrev` that apply to composition versions to `compSemiring` etc
---
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|
t-algebra
large-import
label:t-algebra$ |
337/71 |
Mathlib.lean,Mathlib/Algebra/Ring/Pi.lean,Mathlib/Data/FunLike/GroupWithZero.lean,Mathlib/Data/FunLike/IsApply.lean,Mathlib/Data/FunLike/Ring.lean,Mathlib/Data/Nat/Cast/Basic.lean,Mathlib/Data/Nat/Cast/Pi.lean,Mathlib/Topology/Algebra/Module/ContinuousLinearMap/Basic.lean |
8 |
5 |
['eric-wieser', 'github-actions', 'mathlib-merge-conflicts'] |
ocfnash assignee:ocfnash |
7-81457 7 days ago |
11-43785 11 days ago |
63-73613 63 days |
| 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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|
t-algebra
LLM-generated
label:t-algebra$ |
231/0 |
Mathlib.lean,Mathlib/LinearAlgebra/ExteriorPower/BaseChange.lean |
2 |
2 |
['github-actions', 'grunweg'] |
ocfnash assignee:ocfnash |
7-81455 7 days ago |
46-42854 46 days ago |
64-32742 64 days |
| 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'] |
ocfnash assignee:ocfnash |
7-81454 7 days ago |
64-4026 64 days ago |
64-4013 64 days |
| 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
|
27/5 |
Mathlib/GroupTheory/Exponent.lean,Mathlib/GroupTheory/Perm/Cycle/Type.lean |
2 |
13 |
['SnirBroshi', 'github-actions', 'ocfnash', 'tb65536'] |
mattrobball assignee:mattrobball |
7-81453 7 days ago |
55-16693 55 days ago |
55-50327 55 days |
| 41961 |
loefflerd author:loefflerd |
feat(NumberTheory/Padics): ring structure on nonarchimedean measures |
Define the Iwasawa algebra of measures on a profinite group G, and show it's an algebra (and commutative if G is).
---
For simplicity, I did not attempt to optimise exactly the minimal typeclass assumptions on `G` required to obtain each typeclass property of `D(G, R)`, as this led to much lengthier code for no clear benefit; I am not aware of interesting examples where `G` is not at a monoid.
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|
t-number-theory |
164/0 |
Mathlib.lean,Mathlib/NumberTheory/Padics/Measure/Group.lean |
2 |
2 |
['github-actions'] |
tb65536 assignee:tb65536 |
7-81450 7 days ago |
37-14168 37 days ago |
37-14155 37 days |
| 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'] |
nobody |
7-80557 7 days ago |
53-57127 53 days ago |
53-57649 53 days |
| 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
label:t-algebra$ |
177/0 |
Mathlib/LinearAlgebra/LinearPMap.lean |
1 |
13 |
['github-actions', 'j-loreaux', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'mcdoll'] |
kim-em assignee:kim-em |
7-78995 7 days ago |
7-80643 7 days ago |
72-55554 72 days |
| 42354 |
sankalpsthakur author:sankalpsthakur |
doc(Data/Rel): clarify the SetRel representation |
Rewrites the implementation-notes section explaining why `SetRel` represents relations as `Set (α × β)` rather than `α → β → Prop`. The previous text framed the two representations as competing, with the function form as default and `SetRel` mainly justified by dedicated notation. This reframes it around what each representation is *for*: the function form when a relation is primarily applied to arguments, the set-of-pairs form when the relation itself is manipulated as an object — with concrete examples (inverse as preimage, transport as image, union/intersection/complement/subset-order inherited from `Set`). Also fixes a stray double space.
Motivated by #39397.
### Validation
Documentation-only change (module docstring); no executable code touched.
Closes #39397
### AI/LLM disclosure
AI coding tools were used to help draft this change and PR description. I reviewed the complete change and the reasoning before submitting. |
t-data
new-contributor
LLM-generated
|
16/13 |
Mathlib/Data/Rel.lean |
1 |
4 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
7-68080 7 days ago |
7-70066 7 days ago |
24-50257 24 days |
| 42932 |
teorth author:teorth |
feat(Analysis/SumIntegralComparisons): more general integral_le_sum lemmas |
Create slightly more general versions of `AntitoneOn.integral_le_sum` and `MonotoneOn.integral_le_sum` that allow for divergence at one endpoint. (This will be useful in a future PR of the prime number theorem.) Specifically, monotonicity is not needed at the right endpoint as long as the function remains integrable.
---
AI was used to prepare the initial version of the code, which was then golfed and reviewed by myself.
[](https://gitpod.io/from-referrer/)
|
t-analysis |
46/13 |
Mathlib/Analysis/SumIntegralComparisons.lean |
1 |
1 |
['github-actions'] |
nobody |
7-67073 7 days ago |
7-67164 7 days ago |
7-67361 7 days |
| 42883 |
thorimur author:thorimur |
feat: linter for internal constructors |
This PR lints against using internal constructors during elaboration (i.e. those with a name component that starts with `_`, e.g. `_mkInternal`).
This allows us to preserve defeq properties (such as in category theory) and avoid `set_option backward.privateInPublic false` while still preventing uses downstream through `⟨_⟩`.
This linter does not fire in the file in which the internal constructor is defined.
---
*Should* it fire in the file in which the internal constructor is defined, demanding a loud `set_option linter.allowInternalConstructors true`? This just means removing `ctx.env.isImportedConst n`.
Also, should the name of the option be different, so that `false` turns off the linter? Maybe just `linter.internalConstructors`?
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|
tech debt
t-linter
|
115/0 |
Mathlib.lean,Mathlib/Init.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Linter/InternalConstructor.lean,MathlibTest/Linter/InternalConstructor/Source.lean,MathlibTest/Linter/InternalConstructor/Target.lean |
6 |
19 |
['Vierkantor', 'github-actions', 'leanprover-radar', 'thorimur'] |
nobody |
7-66189 7 days ago |
7-69498 7 days ago |
8-37799 8 days |
| 42861 |
JovanGerb author:JovanGerb |
feat(Translate): try all translation pairings until one succeeds |
This PR allows `to_dual` to add translations between two sets of constants by trying all possible pairings, instead of only going for the respective pairing. This is possible thanks to #40365, which made `to_dual` validate all translations. This is useful for
- `to_dual (attr := simps)` on e.g. an `Iso` or `Comma`, since the projections `hom`/`inv` and `left`/`right` are dual to eachother.
- `to_dual` on structures where the fields are reordered, such as `Comma`.
I think the tiny slowdown is worth the convenience.
---
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|
tech debt
t-meta
|
75/175 |
Mathlib/CategoryTheory/Adjunction/Basic.lean,Mathlib/CategoryTheory/CommSq.lean,Mathlib/CategoryTheory/Comma/Basic.lean,Mathlib/CategoryTheory/LiftingProperties/Basic.lean,Mathlib/CategoryTheory/Limits/Cones.lean,Mathlib/CategoryTheory/Limits/IsLimit.lean,Mathlib/CategoryTheory/Limits/Shapes/IsTerminal.lean,Mathlib/CategoryTheory/Limits/Shapes/Terminal.lean,Mathlib/CategoryTheory/NatIso.lean,Mathlib/CategoryTheory/Retract.lean,Mathlib/Order/Heyting/Basic.lean,Mathlib/Tactic/Translate/Core.lean,MathlibTest/Attribute/ToAdditive/Basic.lean,MathlibTest/Attribute/ToDual.lean |
14 |
5 |
['JovanGerb', 'github-actions', 'leanprover-radar'] |
nobody |
7-60850 7 days ago |
8-33934 8 days ago |
9-37778 9 days |
| 42040 |
fqlx author:fqlx |
feat(NumberTheory): formalize Størmer's theorem on consecutive smooth numbers |
This PR formalizes the Størmer theorem on consecutive smooth numbers.
The new `Mathlib.NumberTheory.Stormer` module:
- develops the Pell/Lucas coefficient needed to study powers of Pell solutions;
- proves that a positive Pell solution whose `y`-coordinate has no prime factors outside the Pell parameter is fundamental;
- encodes consecutive `s`-factored numbers by three-valued prime-exponent data; and
- proves that the set of consecutive `s`-factored pairs is finite, establishes the refined global bound `3 ^ s.card - 2 ^ s.card`, and retains a stronger reusable bound for arbitrary finite subcollections.
The main public conclusions are:
- `card_consecutive_factoredNumbers_le_sub`: the reusable finite-set injection bound;
- `finite_consecutiveFactoredNumbers`: the traditional qualitative Størmer theorem; and
- `ncard_consecutiveFactoredNumbers_le_sub`: the strongest clean public conclusion for the complete set.
The implementation reuses the existing Pell and smooth-number APIs, keeps the core prime-index argument explicit, and includes the corresponding bibliography entry and umbrella import.
--------
AI tools, including OpenAI Codex and ChatGPT, were used extensively in preparing this contribution. They generated and revised substantial portions of the Lean implementation, assisted with proof decomposition and mathlib API discovery, helped iterate on compiler errors and refactoring, and helped draft the PR text.
I selected the theorem and scope, directed the iterations, reviewed the theorem statements and overall proof structure, and ran the listed Lean validation commands. I did not independently author or manually verify every low-level Lean proof step. On the linked self-assessment scale, I would classify this contribution as approximately Level 6: bots coded, human understands mostly.
|
t-number-theory
new-contributor
LLM-generated
|
861/0 |
Mathlib.lean,Mathlib/NumberTheory/Stormer.lean,docs/references.bib |
3 |
6 |
['fqlx', 'github-actions', 'grunweg'] |
nobody |
7-58598 7 days ago |
30-53166 30 days ago |
31-12186 31 days |
| 42649 |
vlad902 author:vlad902 |
chore: 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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|
file-removed
t-ring-theory
|
0/16 |
Wanted.lean,Wanted/RingTheory/KrullDimension/Basic.lean |
2 |
1 |
['github-actions'] |
nobody |
7-53666 7 days ago |
15-32598 15 days ago |
15-32585 15 days |
| 41485 |
luigi-massacci author:luigi-massacci |
feat: multiplication by a regular function in D^n as a CLM (bilin version) |
Preliminary lemma for multiplication of a classical distribution by a regular function (PR #41634).
The `def` is mutatis mutandis the exact same construction as the existing `ContDiffMapSupportedin.fderivCLM`-> `TestFunction.fderivCLM` topology-wise, and algebra-wise it mirrors the existing API for `TemperedDistribution` (`simp` lemma included).
Note that this is a helper definition not meant to be used directly, hence the regularity assumption in the type for simplicity, as in the existing `ContDiffMapSupprotedIn.bilinLefCLM`. The consumer definitions (`TestFunction.smul`in PR #41531 and `Distribution.smul` in #41634) take junk values instead.
---
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[](https://gitpod.io/from-referrer/)
|
t-analysis |
34/2 |
Mathlib/Analysis/Distribution/ContDiffMapSupportedIn.lean,Mathlib/Analysis/Distribution/TestFunction.lean |
2 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
7-53297 7 days ago |
20-51744 20 days ago |
20-69590 20 days |
| 42937 |
dagurtomas author:dagurtomas |
chore(Condensed): remove problematic lemma |
Needed for nightly#288
---
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tech debt
t-condensed
|
1/9 |
Mathlib/Condensed/TopCatAdjunction.lean |
1 |
3 |
['felixpernegger', 'github-actions', 'leanprover-radar'] |
nobody |
7-37870 7 days ago |
7-48604 7 days ago |
7-48591 7 days |
| 42926 |
NoahW314 author:NoahW314 |
feat(Algebra/Order): add `MulLeftMono` implies `IsDedekindFinite` instance |
In the process, generalize an existing lemma that required both `MulLeftMono` and `MulRightMono` into two lemmas that only require one of `MulLeftMono` or `MulRightMono`.
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t-algebra label:t-algebra$ |
49/26 |
Mathlib/Algebra/Order/BigOperators/Group/Finset.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Basic.lean,Mathlib/Algebra/Order/Ring/Unbundled/Basic.lean,Mathlib/Algebra/Quaternion.lean,Mathlib/Algebra/Ring/IsFormallyReal.lean,Mathlib/Analysis/Convex/Basic.lean,Mathlib/Analysis/Normed/Unbundled/SmoothingSeminorm.lean,Mathlib/Geometry/Euclidean/Angle/Unoriented/RightAngle.lean,Mathlib/LinearAlgebra/QuadraticForm/Prod.lean,Mathlib/NumberTheory/Dioph.lean,Mathlib/NumberTheory/Zsqrtd/Basic.lean,Mathlib/RingTheory/Coprime/Basic.lean,Mathlib/SetTheory/Cardinal/Divisibility.lean |
13 |
2 |
['NoahW314', 'github-actions'] |
nobody |
7-35729 7 days ago |
7-38783 7 days ago |
7-62529 7 days |
| 42185 |
wwylele author:wwylele |
feat(combinatorics): pentagonal number theorem for normed ring |
This completes the other half of the theorem.
For the new function `eulerFunction`, I considered the alternative definition using `FormalMultilinearSeries`. However, a lot of things around `FormalMultilinearSeries` are defined for algebra with a base `Fieid` (e.g. `FormalMultilinearSeries.ofScalars`), whereas the new theorem here works for any complete normed rings. Those `FormalMultilinearSeries` lemma might generalize to rings, but ultimately I don't gain anything from using `FormalMultilinearSeries` while increasing the imports, so I decided against it.
I also made change to the forbidden import list, and allow Combinatorics to import MeasureTheory and Probability. This is a somewhat accidental import in the PR (via `Mathlib.Analysis.SpecialFunctions.Log.Summable`, which pull in the integral subtree for results on log), but it does makes sense that Combinatorics should be allow to interact with Probability anyway. (Zulip thread for this [#mathlib4 > Surprise dependency Analysis -> MeasureTheory -> Probability](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Surprise.20dependency.20Analysis.20-.3E.20MeasureTheory.20-.3E.20Probability/with/613206628))
---
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|
t-combinatorics
maintainer-merge
|
179/5 |
Mathlib.lean,Mathlib/Analysis/SpecialFunctions/Log/Summable.lean,Mathlib/Combinatorics/Enumerative/Pentagonal/EulerFunction.lean,Mathlib/Combinatorics/Enumerative/Pentagonal/PowerSeries.lean,Mathlib/Combinatorics/Enumerative/Pentagonal/Ring.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean,docs/1000.yaml |
7 |
27 |
['CoolRmal', 'copilot-pull-request-reviewer', 'github-actions', 'mathlib-dependent-issues', 'mathlib-splicebot', 'wwylele'] |
nobody |
7-32682 7 days ago |
7-45022 7 days ago |
22-34475 22 days |
| 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'] |
nobody |
7-29655 7 days ago |
45-4932 45 days ago |
49-8314 49 days |
| 40498 |
wangying11123 author:wangying11123 |
feat(Geometry/Euclidean): unoriented angle eq of oriented angle eq |
This PR adds two theorems to Mathlib/Geometry/Euclidean/Angle/Oriented/Affine.lean
`angle_eq_of_oangle_eq`: If two oriented angles are equal, and the four endpoint pairs are nondegenerate, then the
corresponding unoriented angles are equal.
`angle_eq_of_oangle_eq_not_collinear`: If two oriented angles are equal, and the first triple is not collinear, then the
corresponding unoriented angles are equal. |
new-contributor |
22/0 |
Mathlib/Geometry/Euclidean/Angle/Oriented/Affine.lean |
1 |
6 |
['github-actions', 'plp127', 'wangying11123'] |
nobody |
7-27710 7 days ago |
7-30041 7 days ago |
61-22308 61 days |
| 38966 |
smmercuri author:smmercuri |
chore(Algebra): `coe_ringHom` -> `coe_toRingHom` |
---
- [x] depends on: #38950
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|
106/65 |
Mathlib/Algebra/Algebra/Equiv.lean,Mathlib/Algebra/Algebra/Hom.lean,Mathlib/Algebra/MvPolynomial/Basic.lean,Mathlib/Algebra/MvPolynomial/Eval.lean,Mathlib/Algebra/Order/Hom/Ring.lean,Mathlib/Algebra/Polynomial/AlgebraMap.lean,Mathlib/Algebra/Ring/Equiv.lean,Mathlib/AlgebraicGeometry/Group/Affine.lean,Mathlib/AlgebraicGeometry/Morphisms/UniversallyInjective.lean,Mathlib/AlgebraicGeometry/Spec.lean,Mathlib/Data/ZMod/Basic.lean,Mathlib/FieldTheory/Extension.lean,Mathlib/FieldTheory/IsAlgClosed/Basic.lean,Mathlib/FieldTheory/PurelyInseparable/Basic.lean,Mathlib/NumberTheory/Cyclotomic/CyclotomicCharacter.lean,Mathlib/NumberTheory/NumberField/CMField.lean,Mathlib/NumberTheory/NumberField/Ideal/KummerDedekind.lean,Mathlib/NumberTheory/NumberField/InfinitePlace/Ramification.lean,Mathlib/RingTheory/AdjoinRoot.lean,Mathlib/RingTheory/DedekindDomain/Different.lean,Mathlib/RingTheory/DedekindDomain/Instances.lean,Mathlib/RingTheory/FinitePresentation.lean,Mathlib/RingTheory/FractionalIdeal/Operations.lean,Mathlib/RingTheory/GradedAlgebra/AlgHom.lean,Mathlib/RingTheory/GradedAlgebra/RingHom.lean,Mathlib/RingTheory/IntegralClosure/IntegralRestrict.lean,Mathlib/RingTheory/Jacobson/Ring.lean,Mathlib/RingTheory/LocalRing/ResidueField/Ideal.lean,Mathlib/RingTheory/LocalRing/ResidueField/Polynomial.lean,Mathlib/RingTheory/Localization/Basic.lean,Mathlib/RingTheory/Localization/FractionRing.lean,Mathlib/RingTheory/RingHom/StandardSmooth.lean,Mathlib/RingTheory/RingInvo.lean,Mathlib/RingTheory/Smooth/Basic.lean,Mathlib/RingTheory/Trace/Quotient.lean,Mathlib/RingTheory/Unramified/Basic.lean |
36 |
11 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'smmercuri', 'themathqueen'] |
nobody |
7-25305 7 days ago |
7-27868 7 days ago |
12-80363 12 days |
| 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 |
119/4 |
Mathlib/RingTheory/MvPowerSeries/GaussNorm.lean |
1 |
10 |
['WilliamCoram', 'github-actions', 'riccardobrasca'] |
riccardobrasca assignee:riccardobrasca |
7-21000 7 days ago |
9-33640 9 days ago |
9-33627 9 days |
| 41303 |
kebekus author:kebekus |
feat: Invariance of meromorphicity under scaling |
Prove that various notions associated with meromorphic functions are invariant under scaling. Add several missing `fun_prop` tags and normalize comments.
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|
t-analysis |
153/101 |
Mathlib/Analysis/Analytic/Constructions.lean,Mathlib/Analysis/Meromorphic/Basic.lean,Mathlib/Analysis/Meromorphic/Divisor.lean,Mathlib/Analysis/Meromorphic/NormalForm.lean,Mathlib/Analysis/Meromorphic/Order.lean |
5 |
20 |
['ADedecker', 'github-actions', 'j-loreaux', 'kebekus', 'mathlib-merge-conflicts'] |
nobody |
7-20463 7 days ago |
7-22366 7 days ago |
19-52227 19 days |
| 42867 |
WilliamCoram author:WilliamCoram |
feat: restricted multivariate power series as its own type and some missing API lemmas |
We add some missing API lemmas for restricted multivariate power series, as well as promoting them to their own type `MvPowerSeries.Restricted`.
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t-ring-theory |
204/2 |
Mathlib/RingTheory/MvPowerSeries/Restricted.lean |
1 |
13 |
['WilliamCoram', 'github-actions', 'riccardobrasca'] |
riccardobrasca assignee:riccardobrasca |
7-19932 7 days ago |
9-38283 9 days ago |
9-38270 9 days |
| 42366 |
vihdzp author:vihdzp |
chore: use `to_dual` for `IsAtom` and `IsCoatom` |
I haven't translated `IsStronglyAtomic` nor anything below in that file. I ran into problems trying to use `to_dual` on that declaration.
---
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|
t-order |
58/145 |
Mathlib/Order/Atoms.lean,Mathlib/Tactic/Translate/ToDual.lean |
2 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
7-16242 7 days ago |
7-40463 7 days ago |
7-44554 7 days |
| 42261 |
D-Thomine author:D-Thomine |
chore(MeasureTheory): using ENNReal instead of NNReal |
This PR removes coercions in some files in `MeasureTheory` (i.e. working directly with `ENNReal` instead of working with `NNReal` and coercing), focusing on `MeasureTheory.Covering.Differentiation`. The resulting files are a bit shorter and a more legible.
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[](https://gitpod.io/from-referrer/)
|
t-measure-probability |
166/205 |
Mathlib/MeasureTheory/Constructions/BorelSpace/Order.lean,Mathlib/MeasureTheory/Covering/Differentiation.lean,Mathlib/MeasureTheory/Function/AEMeasurableOrder.lean,Mathlib/MeasureTheory/Measure/Typeclasses/Finite.lean |
4 |
5 |
['D-Thomine', 'github-actions', 'grunweg', 'leanprover-radar'] |
urkud assignee:urkud |
7-3684 7 days ago |
27-25795 27 days ago |
27-25782 27 days |
| 41462 |
felixpernegger author:felixpernegger |
perf: lower priority of `sheafToPresheaf_isRightAdjoint` |
This was found in the course of #41222 (where this is needed to avoid big increases) by Fable 5, but should already be beneficial now.
---
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|
2/1 |
Mathlib/CategoryTheory/Sites/ConcreteSheafification.lean |
1 |
11 |
['felixpernegger', 'github-actions', 'grunweg', 'kbuzzard', 'leanprover-radar', 'mathlib-splicebot'] |
nobody |
6-82658 6 days ago |
7-11338 7 days ago |
7-78423 7 days |
| 42494 |
JadAbouHawili author:JadAbouHawili |
feat(Combinatorics/SimpleGraph/Connectivity): add edge reachability and connectivity numbers |
Define edge reachability and connectivity numbers with some basic API
Partially solves #34961
---
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new-contributor
t-combinatorics
|
59/0 |
Mathlib/Combinatorics/SimpleGraph/Connectivity/EdgeConnectivity.lean |
1 |
91 |
['JadAbouHawili', 'SnirBroshi', 'github-actions', 'grunweg'] |
nobody |
6-81804 6 days ago |
8-23180 8 days ago |
15-78668 15 days |
| 42964 |
SnirBroshi author:SnirBroshi |
chore(Combinatorics/SimpleGraph/CycleGraph): golf `cycleGraph_isContained_iff` |
---
`set_option trace.profiler true` reports ~250ms both before and after this change.
This is independent from #41338, which would probably help golf even further.
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|
t-combinatorics |
18/26 |
Mathlib/Combinatorics/SimpleGraph/CycleGraph.lean |
1 |
1 |
['github-actions'] |
nobody |
6-81514 6 days ago |
6-82167 6 days ago |
6-82154 6 days |
| 41026 |
Thmoas-Guan author:Thmoas-Guan |
feat(LinearAlgebra): exterior algebra of product module |
In this PR, we proved the exterior algebra of product module is isomorphic to graded tensor product of the two exterior algebras.
---
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|
t-algebra label:t-algebra$ |
151/0 |
Mathlib.lean,Mathlib/LinearAlgebra/ExteriorAlgebra/Basic.lean,Mathlib/LinearAlgebra/ExteriorAlgebra/Product.lean |
3 |
3 |
['eric-wieser', 'github-actions'] |
ocfnash assignee:ocfnash |
6-81455 6 days ago |
62-47352 62 days ago |
62-47339 62 days |
| 41803 |
benjub author:benjub |
feat(Topology/order/IntermediateValue): continuous induction from sSup membership |
Add `mem_of_csSup_mem_of_forall_exists_gt`, that generalizes `IsClosed.mem_of_ge_of_forall_exists_gt` by weakening the closedness hypothesis to membership of the supremum. Derive `IsClosed.mem_of_ge_of_forall_exists_gt` from it.
---
This result was already in essence in `IsClosed.mem_of_ge_of_forall_exists_gt`, which uses closedness only to obtain membership of the supremum.
This new result does not require `[TopologicalSpace α] [OrderTopology α]` (it is purely order-theoretic), but I still placed it next to `IsClosed.mem_of_ge_of_forall_exists_gt`. I am open to moving it to another file if the reviewer sees fit.
There are cases where that more general lemma is needed, because closedness either does not hold or would be longer to prove. For instance, I need that generalization to shorten the proof in the draft PR #41552. |
t-topology
new-contributor
|
21/11 |
Mathlib/Topology/Order/IntermediateValue.lean |
1 |
3 |
['benjub', 'github-actions'] |
ADedecker assignee:ADedecker |
6-81454 6 days ago |
41-83340 41 days ago |
41-83327 41 days |
| 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
|
168/0 |
Mathlib.lean,Mathlib/Topology/Connected/HausdorffMeasure.lean,Mathlib/Topology/EMetricSpace/Defs.lean |
3 |
10 |
['CoolRmal', 'github-actions', 'mathlib-merge-conflicts', 'plp127', 'wwylele'] |
ADedecker assignee:ADedecker |
6-81452 6 days ago |
15-4715 15 days ago |
40-82296 40 days |
| 42963 |
teal-sea author:teal-sea |
feat(NumberTheory/LSeries): define Hardy's Z function |
Add Hardy's Z function as a real-valued function on `ℝ`, with the two
conjugation lemmas its construction needs.
---
`Z` is the standard real-valued function on the critical line: it has the same
modulus as `ζ (1/2 + i t)`, so its sign changes locate zeros of `ζ` on the line.
It is a standard object for formulating and proving results about zeros on the
critical line, and Mathlib currently has no way to talk about such a zero
directly.
The `Critical line theorem` entry in `docs/1000.yaml` carries no `decl:`, so
this is an area the library has recorded as wanted. This PR is not that theorem;
it is foundational infrastructure toward it, and the dependency chain is what
gives the three commits their shape: a critical line theorem is naturally
formulated using `Z`, `Z` needs conjugation symmetry for the completed zeta
function, and that needs conjugation symmetry for the Deligne archimedean
factors. Hence, in order:
1. `Complex.Gammaℝ_conj`, `Complex.Gammaℂ_conj` in `Gamma/Deligne.lean`, which
currently has no conjugation lemma for either Deligne factor.
2. `completedRiemannZeta_conj` in `ZetaAsymp.lean`, next to `riemannZeta_conj`.
For `0 < re s` it follows from `riemannZeta_conj` and `Gammaℝ_conj`; the
other half-plane follows from `completedRiemannZeta_one_sub` applied to
`1 - s`, which also covers the junk values at `0` and `1`.
3. `Mathlib/NumberTheory/LSeries/HardyZ.lean`, the definition and its API:
`abs_hardyZ`, `hardyZ_neg`, `hardyZ_eq_zero_iff`, `continuous_hardyZ`,
`ofReal_hardyZ`.
**On the choice of definition.** The textbook definition is
`Z t = exp (I * ϑ t) * ζ (1/2 + i t)`, with `ϑ` the Riemann–Siegel theta
function. That needs a continuous branch of `log Γ` along the critical line,
which Mathlib does not have, and the branch bookkeeping is most of the work.
Dividing `Λ` by the modulus of its archimedean factor gives the same function
without mentioning a branch: `Λ (1/2 + i t)` is real by `completedRiemannZeta_conj`
and `completedRiemannZeta_one_sub`, and `‖Γ_ℝ (1/2 + i t)‖` is a positive real.
Since `Γ_ℝ (1/2 + it) = π ^ (-1/4) * π ^ (-it/2) * Γ (1/4 + it/2)`, where the
first factor is a positive real and the second has modulus `1`, the quotient is
exactly `exp (I * ϑ t) * ζ (1/2 + i t)`; the module docstring spells this out.
`ϑ` itself can follow later.
I chose `ℝ → ℝ` because it is what the literature means by `Z` and it makes the
intermediate value theorem directly applicable. I raised this signature question
on Zulip in `#mathlib4` on 6 August and would still welcome opinions on it.
## Use of AI
I used Claude (Anthropic), via Claude Code. The mathematical route, defining
`Z` from `Λ` rather than from `exp (I ϑ) ζ`, to avoid the logarithm branch, is
one I worked out in my own research repository before this Lean was written, and that earlier Lean was also AI-assisted. Claude wrote most of the
proofs from that plan for this PR and found that the divisor is exactly `‖Γ_ℝ (1/2 + i t)‖`
rather than the expanded `π ^ (-1/4) * ‖Γ (1/4 + i t / 2)‖`, split the two
general lemmas out into their proper files, and adapted everything to house
style. I set the goal and the design, chose the file layout and the names, and
reviewed the result.
Builds against master with no errors or warnings; `lake exe lint-style` is clean
and `#lint` reports no errors. |
LLM-generated
new-contributor
|
209/0 |
Mathlib.lean,Mathlib/Analysis/SpecialFunctions/Gamma/Deligne.lean,Mathlib/NumberTheory/Harmonic/ZetaAsymp.lean,Mathlib/NumberTheory/LSeries/HardyZ.lean |
4 |
7 |
['github-actions', 'teal-sea', 'wwylele'] |
nobody |
6-79599 6 days ago |
6-86119 6 days ago |
6-86106 6 days |
| 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 |
2 |
['github-actions'] |
nobody |
6-77986 6 days ago |
6-78563 6 days ago |
7-5989 7 days |
| 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 (0 : Fin (n + 1)) ⊑ G ↔ n ≤ G.maxDegree`
- `starGraph v ⊑ starGraph w ↔ Nonempty (V ↪ W)`
- `starGraph v ⊴ starGraph w ↔ Nonempty (V ↪ W)`
---
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|
t-combinatorics |
82/1 |
Mathlib/Combinatorics/SimpleGraph/Star.lean |
1 |
1 |
['github-actions'] |
nobody |
6-75190 6 days ago |
9-18380 9 days ago |
9-18367 9 days |
| 41981 |
YaelDillies author:YaelDillies |
refactor(Algebra/Polynomial): make into an `abbrev` of `AddMonoidAlgebra` |
... and deprecate the declarations that are now tautological (`toFinsupp`/`ofFinsupp` 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$ |
337/533 |
Mathlib/Algebra/MonoidAlgebra/MapDomain.lean,Mathlib/Algebra/MonoidAlgebra/Support.lean,Mathlib/Algebra/Polynomial/AlgebraMap.lean,Mathlib/Algebra/Polynomial/Basic.lean,Mathlib/Algebra/Polynomial/Basis.lean,Mathlib/Algebra/Polynomial/Cardinal.lean,Mathlib/Algebra/Polynomial/Coeff.lean,Mathlib/Algebra/Polynomial/Degree/Defs.lean,Mathlib/Algebra/Polynomial/Degree/IsMonicOfDegree.lean,Mathlib/Algebra/Polynomial/Degree/Operations.lean,Mathlib/Algebra/Polynomial/Degree/Support.lean,Mathlib/Algebra/Polynomial/Derivative.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/Inductions.lean,Mathlib/Algebra/Polynomial/Laurent.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/Splits.lean,Mathlib/Algebra/Polynomial/UnitTrinomial.lean,Mathlib/Algebra/Ring/Subring/IntPolynomial.lean,Mathlib/FieldTheory/SeparablyGenerated.lean,Mathlib/LinearAlgebra/Finsupp/VectorSpace.lean,Mathlib/LinearAlgebra/Lagrange.lean,Mathlib/RingTheory/IsAdjoinRoot.lean,Mathlib/RingTheory/KrullDimension/Polynomial.lean,Mathlib/RingTheory/Polynomial/Basic.lean,Mathlib/RingTheory/Polynomial/Opposites.lean,Mathlib/RingTheory/PowerBasis.lean,Mathlib/RingTheory/PowerSeries/Derivative.lean,Mathlib/RingTheory/Spectrum/Prime/Topology.lean,Mathlib/RingTheory/ZariskisMainTheorem.lean,Mathlib/Tactic/ReduceModChar.lean,MathlibTest/InstanceDiamonds.lean |
40 |
9 |
['NoahW314', 'YaelDillies', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts', 'tb65536'] |
nobody |
6-48489 6 days ago |
6-50360 6 days ago |
33-25780 33 days |
| 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 |
6-47916 6 days ago |
6-50230 6 days ago |
41-15107 41 days |
| 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.
---
- [ ] 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 |
6-44396 6 days ago |
7-38241 7 days ago |
7-38525 7 days |
| 42966 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Hasse): smaller path graphs are contained in bigger ones |
---
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|
t-combinatorics |
25/1 |
Mathlib/Combinatorics/SimpleGraph/Hasse.lean |
1 |
1 |
['github-actions'] |
nobody |
6-30642 6 days ago |
6-31236 6 days ago |
6-31926 6 days |
| 42916 |
0x00b1 author:0x00b1 |
feat(Analysis/Numerical): add (real-valued) bisection method |
Bisection method for real-valued functions on closed intervals. This is an exact, non-computable real-number formalization rather than a floating-point implementation. Nevertheless, I did try to make everything sufficiently flexible to simplify changes if floating-point is eventually added to mathlib4!
The core API represents each bisection state with endpoints in `Set.Icc a b`, ensuring that the function is never evaluated outside its domain. I provided a convenience API for functions `ℝ → ℝ` (on top of the interval-restricted core API). Degenerate intervals are also supported. I listed all the results that I think are important in the comments.
This is my first contribution to mathlib4 so please let me know if you have suggestions on improving either of the APIs and please let me know if you want me to add any real-valued theorems! Likewise, any suggestions on rewriting`dist_midpoint_step_midpoint` to feel less nasty would be appreciated.
---
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|
t-analysis
new-contributor
|
757/0 |
Mathlib.lean,Mathlib/Analysis/Numerical/Bisection.lean |
2 |
4 |
['0x00b1', 'github-actions', 'luigi-massacci'] |
luigi-massacci assignee:luigi-massacci |
6-29546 6 days ago |
8-14381 8 days ago |
8-14368 8 days |
| 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
large-import
maintainer-merge
|
73/3 |
Mathlib/Probability/HasCondDistrib.lean |
1 |
29 |
['CoolRmal', 'EtienneC30', 'bocowgill', 'github-actions', 'leanprover-radar'] |
kex-y assignee:kex-y |
6-27796 6 days ago |
6-72464 6 days ago |
29-64343 29 days |
| 42246 |
marcelolynch author:marcelolynch |
perf(Analysis/Normed/Affine/Isometry): scope the V₄/P₄ and V₁'/P₁' variables to their users |
The section variable block of this file declares six torsor pairs. Each pair has four instance binders. Only two declarations use the `V₄`/`P₄` pair: `comp_assoc` and `trans_assoc`. Only seven declarations use the `V₁'`/`P₁'` pair: `AffineIsometry.injective`, `map_eq_iff`, `map_ne`, and the four `AffineSubspace.isometryEquivMap` declarations. All other declarations carry these eight instance binders in their local context. Every typeclass search must examine them.
This PR removes the two pairs from the block. Four small sections declare each pair again, around the declarations that use it.
The nine statements do not change. A dump of all constant types in the module shows that every other declaration keeps its exact type. The nine declarations keep the same hypotheses and the same explicit arguments. Only the order of their implicit and instance binders changes. Mathlib contains no `@`-application of any of the nine.
Standalone elaboration of the file goes from 4.89 s to 4.58 s (medians of 6 interleaved runs, −6 %).
Same restructure as #42238, which measured −26 % instructions on the sibling file `LinearIsometry.lean` under `!bench`.
🤖 Generated with [Claude Code](https://claude.com/claude-code)
|
t-analysis |
30/4 |
Mathlib/Analysis/Normed/Affine/Isometry.lean |
1 |
1 |
['github-actions'] |
nobody |
6-22181 6 days ago |
14-71285 14 days ago |
14-71272 14 days |
| 41890 |
Ljon4ik4 author:Ljon4ik4 |
feat: semidirect product of Lie algebras - adding simp lemmas for toProd.symm and toProdl.symm |
As an `R`-module the semidirect product of two Lie algebras ` K ⋊⁅ψ⁆ L` is isomorphic to ` K × L`.
The simp lemmas for the reverse direction of this isomorphisms were missing and are added in this PR.
---
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|
t-algebra
maintainer-merge
label:t-algebra$ |
5/1 |
Mathlib/Algebra/Lie/SemiDirect.lean |
1 |
3 |
['Ruben-VandeVelde', 'github-actions'] |
nobody |
6-12669 6 days ago |
39-34807 39 days ago |
39-34794 39 days |
| 41800 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Paths): `IsTrail` `concat` iff |
---
Also golf and fix the name of `concat_isPath_iff`.
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|
t-combinatorics
maintainer-merge
|
15/5 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean |
1 |
2 |
['Ruben-VandeVelde', 'github-actions'] |
nobody |
6-10474 6 days ago |
42-4423 42 days ago |
42-4410 42 days |
| 42961 |
D-Thomine author:D-Thomine |
feat(SpecialFunctions/Pow): versions of `le_rpow_inv_iff` for negative exponents |
This PR introduces negative exponent versions of `le_rpow_inv_iff` and `rpow_le_inv_iff`, and golfs a few adjacent lemmas.
---
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|
t-analysis |
24/24 |
Mathlib/Analysis/SpecialFunctions/Pow/Asymptotics.lean,Mathlib/Analysis/SpecialFunctions/Pow/NNReal.lean |
2 |
15 |
['D-Thomine', 'felixpernegger', 'github-actions'] |
nobody |
6-6389 6 days ago |
6-7541 6 days ago |
6-13100 6 days |
| 42965 |
arihallak author:arihallak |
feat(Analysis/Normed/Group/Pointwise): diameter of pointwise inversion, multiplication, and division |
This PR adds API lemmas for extended and real diameters (`EMetric.ediam` and `Metric.diam`) of pointwise inversion, multiplication, and division of sets in a `SeminormedCommGroup` (and automatically generates the additive counterparts via `@[to_additive]`).
### New declarations
- `ediam_inv` (additive: `ediam_neg`): `ediam s⁻¹ = ediam s`
- `ediam_div_le` (additive: `ediam_sub_le`): `ediam (s / t) ≤ ediam s + ediam t`
- `diam_inv` (additive: `diam_neg`): `diam s⁻¹ = diam s`
- `diam_mul_le` (additive: `diam_add_le`): `diam (s * t) ≤ diam s + diam t` (for bounded sets)
- `diam_div_le` (additive: `diam_sub_le`): `diam (s / t) ≤ diam s + diam t` (for bounded sets)
Tested with all 14 `#lint` linters. |
t-analysis
new-contributor
|
26/0 |
Mathlib/Analysis/Normed/Group/Pointwise.lean |
1 |
6 |
['github-actions', 'wwylele'] |
nobody |
5-82318 5 days ago |
6-79454 6 days ago |
6-79441 6 days |
| 38086 |
dagurtomas author:dagurtomas |
feat(CategoryTheory): composition of profunctors |
---
- [x] depends on: #38085
- [x] depends on: #38382
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|
t-category-theory |
345/2 |
Mathlib.lean,Mathlib/CategoryTheory/Profunctor/Basic.lean,Mathlib/CategoryTheory/Profunctor/Comp.lean |
3 |
20 |
['adamtopaz', 'dagurtomas', 'github-actions', 'mathlib-dependent-issues', 'mathlib-splicebot', 'robin-carlier'] |
riccardobrasca assignee:riccardobrasca |
5-81460 5 days ago |
54-47714 54 days ago |
102-10535 102 days |
| 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 |
38 |
['ADedecker', 'ChiCubed', 'github-actions', 'themathqueen', 'wwylele'] |
ocfnash assignee:ocfnash |
5-81456 5 days ago |
21-76514 21 days ago |
72-4636 72 days |
| 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'] |
RemyDegenne assignee:RemyDegenne |
5-81455 5 days ago |
60-58985 60 days ago |
62-82669 62 days |
| 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'] |
urkud assignee:urkud |
5-81454 5 days ago |
48-69360 48 days ago |
48-69347 48 days |
| 41856 |
Ruizsolveall author:Ruizsolveall |
feat(Topology/Covering): fundamental group of the circle is ℤ |
This is the promised follow-up to #40947 (see [Zulip](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/How.20to.20wisely.20state.20Homotopy.20lifting.20lemma)); most of the file is the computation that the loop `t ↦ n • t` is sent to `n : ℤ`.
---
I used Claude to navigate the quotient covering map API and for an initial frame of the proofs, which I then reworked; I understand and can vouch for all of it.
|
t-topology
new-contributor
LLM-generated
|
102/0 |
Mathlib.lean,Mathlib/Topology/Covering/FundamentalGroupCircle.lean |
2 |
2 |
['github-actions'] |
ADedecker assignee:ADedecker |
5-81453 5 days ago |
40-44197 40 days ago |
40-44288 40 days |
| 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.
In `CategoryTheory/Equivalence.lean`, it adds:
* `Functor.isEquivalence_iff_exists_equivalence`, stating that a functor `F : C ⥤ D` is an equivalence (i.e. fully faithful and essentially surjective) if and only if it is the functor of some bundled equivalence `e : C ≌ D`.
In `CategoryTheory/Skeletal.lean`, it adds:
* `Functor.isEquivalence_iff_isIso_between_skeletal`: a functor between skeletal categories is an equivalence iff it is an isomorphism;
* `Functor.isEquivalence_iff_exists_isoCat_mapSkeleton`, stating that a functor `F : C ⥤ D` is an equivalence if and only if the induced functor on skeletons `F.mapSkeleton : Skeleton C ⥤ Skeleton D` is the functor of some categorical isomorphism `IsoCat (Skeleton C) (Skeleton D)`.
* `Functor.tfae_isEquivalence_bundledEquivalence_mapSkeletonIsoCat`, giving a `TFAE` for the following three statements:
* `F.IsEquivalence` : `F` is fully faithful and essentially surjective;
* `∃ e : C ≌ D, e.functor = F` : `F` is part of some bundled equivalence;
* `∃ e : IsoCat (Skeleton C) (Skeleton D), e.functor = F.mapSkeleton` : the induced functor on skeletons is a categorical isomorphism.
* `Equivalence.skeletonIsoCat (e : C ≌ D) : IsoCat (Skeleton C) (Skeleton D)`: an equivalence of categories induces an `IsoCat` between their skeletons.
It also updates the module docstring of `Skeletal.lean` to include these declarations.
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t-category-theory
new-contributor
|
67/8 |
Mathlib/CategoryTheory/EssentiallySmall.lean,Mathlib/CategoryTheory/Skeletal.lean |
2 |
23 |
['Zeta-Wu', 'github-actions', 'joelriou', 'robin-carlier'] |
dagurtomas assignee:dagurtomas |
5-81448 5 days ago |
8-44473 8 days ago |
10-59547 10 days |
| 42979 |
EtienneC30 author:EtienneC30 |
chore: rename measurable_pi_lambda to Measurable.of_eval |
Also rename `aemeasurable_pi_lambda` to `AEMeasurable.of_eval`. Zulip topic: https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Renaming.20measurable_pi_lambda.20to.20Measurable.2Eof_eval/with/617676093
---
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t-measure-probability |
50/53 |
Mathlib/Analysis/Fourier/AddCircleMulti.lean,Mathlib/Analysis/Matrix/MeasurableSpace.lean,Mathlib/MeasureTheory/Constructions/BorelSpace/ContinuousLinearMap.lean,Mathlib/MeasureTheory/Constructions/Cylinders.lean,Mathlib/MeasureTheory/Constructions/Pi.lean,Mathlib/MeasureTheory/Constructions/Projective.lean,Mathlib/MeasureTheory/MeasurableSpace/Constructions.lean,Mathlib/MeasureTheory/MeasurableSpace/Embedding.lean,Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean,Mathlib/NumberTheory/NumberField/CanonicalEmbedding/PolarCoord.lean,Mathlib/Probability/BrownianMotion/Basic.lean,Mathlib/Probability/IdentDistribIndep.lean,Mathlib/Probability/Independence/Basic.lean,Mathlib/Probability/Independence/BoundedContinuousFunction.lean,Mathlib/Probability/Independence/Process/Basic.lean,Mathlib/Probability/Kernel/IonescuTulcea/Maps.lean,Mathlib/Probability/Process/FiniteDimensionalLaws.lean |
17 |
2 |
['gaetanserre', 'github-actions'] |
urkud assignee:urkud |
5-81446 5 days ago |
6-39282 6 days ago |
6-39269 6 days |
| 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/Data/FunLike/Ring.lean,Mathlib/Topology/Algebra/Module/ContinuousLinearMap/Basic.lean |
2 |
1 |
['github-actions'] |
nobody |
5-80780 5 days ago |
58-74726 58 days ago |
58-74794 58 days |
| 42833 |
YaelDillies author:YaelDillies |
feat(Combinatorics/SimpleGraph/Connnectivity): 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
|
138/31 |
Mathlib/Combinatorics/SimpleGraph/Connectivity/Finite.lean,Mathlib/Combinatorics/SimpleGraph/Tutte.lean |
2 |
1 |
['github-actions'] |
nobody |
5-53200 5 days ago |
10-23336 10 days ago |
10-23498 10 days |
| 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
|
8/60 |
Mathlib/Algebra/BigOperators/Pi.lean,Mathlib/Algebra/Category/Grp/Limits.lean,Mathlib/Algebra/Category/MonCat/Limits.lean,Mathlib/Algebra/Group/DivInvMonoid.lean,Mathlib/Algebra/Symmetrized.lean,Mathlib/GroupTheory/GroupAction/SubMulAction/OfStabilizer.lean,Mathlib/GroupTheory/Nilpotent.lean |
7 |
5 |
['attilavjda', 'github-actions', 'mathlib-merge-conflicts', 'wwylele'] |
nobody |
5-46335 5 days ago |
5-49282 5 days ago |
10-4250 10 days |
| 42938 |
vasnesterov author:vasnesterov |
feat(Tactic/ComputeAsymptotics/Multiseries): introduce `MultiseriesExpansion.leadingMonomial` |
* Introduce `MultiseriesExpansion.leadingMonomial`
* Prove `IsEquivalent_leadingMonomial`: if a multiseries is "well-formed", then its function is asymptotically equivalent to its leading monomial.
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This is a part of the `compute_asymptotics` tactic (#28291).
[](https://gitpod.io/from-referrer/)
|
t-meta |
317/1 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/ComputeAsymptotics/Multiseries/Monomial/LeadingMonomial.lean,Mathlib/Tactic/ComputeAsymptotics/Multiseries/Trimming.lean |
4 |
2 |
['github-actions', 'joneugster'] |
nobody |
5-40727 5 days ago |
7-43688 7 days ago |
7-43796 7 days |
| 42939 |
vasnesterov author:vasnesterov |
feat(Tactic/ComputeAsymptotics/Multiseries/Operations): define `mulConst` |
* Define `mulConst` (multiplication by a constant) operation on multiseries and `neg` as `mulConst (-1)`.
* Prove structural lemmas on its relationship with `toFun` and `seq`.
* Prove that they respect `Sorted` and `Approximates` predicates.
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This is a part of the `compute_asymptotics` tactic (#28291).
[](https://gitpod.io/from-referrer/)
|
t-meta |
257/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/ComputeAsymptotics/Multiseries/Operations/MulConst.lean |
3 |
2 |
['github-actions', 'joneugster'] |
nobody |
5-40722 5 days ago |
7-43803 7 days ago |
7-43790 7 days |
| 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 |
65/69 |
Mathlib.lean,Mathlib/Analysis/Normed/Unbundled/IsPowMulUnique.lean,Mathlib/Analysis/Normed/Unbundled/SpectralNorm.lean |
3 |
1 |
['github-actions'] |
nobody |
5-35337 5 days ago |
5-35694 5 days ago |
5-35681 5 days |
| 41983 |
marcelolynch author:marcelolynch |
fix(cache): avoid misleading message on refs not built "on purpose" |
`cache get` on a fork printed a "no cache found for HEAD" note whenever the per-SHA fork marker was absent, even when every file was then served from mathlib's master cache — which is always the case for a tooling-only PR (its CI build stages zero files, so the upload job and the marker are skipped by design). Reported in https://github.com/leanprover-community/mathlib4/pull/41707#discussion_r3602459565.
The note is now printed after the download rounds and only when files are actually missing; `cache query`'s no-result message names both possible causes (CI hasn't built the commits, or its builds had nothing fork-specific to upload) instead of claiming the first.
🤖 Generated with [Claude Code](https://claude.com/claude-code) |
CI
LLM-generated
|
202/86 |
Cache/Main.lean,Cache/Query.lean,Cache/Requests.lean,Cache/Test.lean,Cache/Warning.lean |
5 |
1 |
['github-actions'] |
nobody |
5-32978 5 days ago |
29-17020 29 days ago |
29-17007 29 days |
| 42703 |
artie2000 author:artie2000 |
refactor(Data/SetLike): make second parameter of `IsConcreteLE` implicit |
* Make second argument of `IsConcreteLE` implicit
`IsConcreteLE` takes a `SetLike A B` typeclass, in which `B`, being an `outParam`, is determined by `A`. Therefore we do not need to pass `B` explicitly.
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[](https://gitpod.io/from-referrer/)
|
t-data |
16/16 |
Mathlib/Algebra/Group/Subgroup/Defs.lean,Mathlib/AlgebraicTopology/SimplicialComplex/Basic.lean,Mathlib/Data/SetLike/Basic.lean,Mathlib/Order/Atoms.lean |
4 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
5-31446 5 days ago |
5-34340 5 days ago |
10-36727 10 days |
| 34078 |
joneugster author:joneugster |
feat(scripts/autolabel): add more label dependencies |
Add more label dependencies.
If a label has another one in the dependencies, the other one will be removed if the first one is present.
---
- [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 |
5-27879 5 days ago |
8-2855 8 days ago |
8-3127 8 days |
| 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 |
5-26157 5 days ago |
6-29767 6 days ago |
6-29754 6 days |
| 42666 |
artie2000 author:artie2000 |
refactor(Data/SetLike): generalise `IsConcreteLE` |
* Generalise `IsConcreteLE` typeclass from `SetLike` to `Membership`
* Generalise the API where possible
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|
t-data |
65/40 |
Mathlib/Algebra/Group/Subgroup/Defs.lean,Mathlib/AlgebraicTopology/SimplicialComplex/Basic.lean,Mathlib/Data/SetLike/Basic.lean,Mathlib/LinearAlgebra/AffineSpace/AffineSubspace/Defs.lean |
4 |
1 |
['github-actions'] |
nobody |
5-23462 5 days ago |
5-28116 5 days ago |
5-33717 5 days |
| 42804 |
j-loreaux author:j-loreaux |
refactor: use `Set.Pairwise s Commute` for commutativity of subobject closures |
Given the subobject `closure s` generated by a set `s`, to ensure `IsMulCommutative s`, Mathlib assumed `∀ x ∈ s, ∀ y ∈ s, x * y = y * x`, but it suffices to prove `s.Pairwise Commute` and this gives us access to some API. This PR switches those hypotheses.
For star algebras, we switch from `∀ x ∈ s, ∀ y ∈ s, x * y = y * x` and `∀ x ∈ s, ∀ y ∈ s, x * star y = star y * x` to a collection of three hypotheses: `∀ x ∈ s, IsStarNormal x`, `s.Pairwise Commute` and `s.Pairwise (Commute · <| ·)`. Even though this is three separate hypotheses, we claim that in practice these are the more natural conditions (except in the trivial case when the ambient algebra is commutative, but that's not the point of `IsMulCommutative` anyway).
Moreover, we use Fuglede's theorem to conclude `s.Pairwise (Commute · <| star ·)` from the other two hypotheses in C⋆-algebras.
Along the way, we add a variety of convenience lemmas for `Set.Pairwise`, including its various interactions with commutativity and `star`. In particular, we characterize `(s ∪ star s).Pairwise Commute` as the conjunction of `s.Pairwise Commute`, `s.Pairwise (Commute · <| ·)` and `∀ x ∈ s, IsStarNormal x`. This allows for a few simplifications.
---
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|
t-algebra label:t-algebra$ |
126/88 |
Counterexamples/GrothendieckPower.lean,Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean,Mathlib/Algebra/Algebra/Subalgebra/Lattice.lean,Mathlib/Algebra/Group/Center.lean,Mathlib/Algebra/HierarchyDesign.lean,Mathlib/Algebra/Ring/Subring/Basic.lean,Mathlib/Algebra/Ring/Subsemiring/Basic.lean,Mathlib/Algebra/Star/NonUnitalSubalgebra.lean,Mathlib/Algebra/Star/Pointwise.lean,Mathlib/Algebra/Star/Subalgebra.lean,Mathlib/Analysis/CStarAlgebra/Fuglede.lean,Mathlib/Analysis/CStarAlgebra/GelfandDuality.lean,Mathlib/Data/Set/Pairwise/Basic.lean,Mathlib/GroupTheory/Subgroup/Centralizer.lean,Mathlib/GroupTheory/Submonoid/Centralizer.lean,Mathlib/GroupTheory/Subsemigroup/Centralizer.lean,Mathlib/RingTheory/NonUnitalSubring/Basic.lean,Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean |
18 |
6 |
['eric-wieser', 'github-actions', 'j-loreaux', 'mathlib-merge-conflicts'] |
nobody |
5-21537 5 days ago |
5-32982 5 days ago |
9-73231 9 days |
| 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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[](https://gitpod.io/from-referrer/)
|
t-combinatorics
large-import
|
38/2 |
Mathlib/Combinatorics/SimpleGraph/Walk/Chord.lean |
1 |
1 |
['github-actions'] |
nobody |
5-20155 5 days ago |
7-8703 7 days ago |
7-8690 7 days |
| 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 |
5-20109 5 days ago |
5-24003 5 days ago |
48-67070 48 days |
| 43028 |
j-loreaux author:j-loreaux |
feat(Analysis/CStarAlgebra): `@[congr]` lemmas for `cfc` |
This PR adds variants of `cfc_congr`/`cfcₙ_congr` that use the `∀ x ∈ _, ...` spelling instead of `Set.EqOn` and marks them `@[congr]` so that they can be used with `simp`, `conv` and `congr!`. There is some minor fallout, but I think it is net positive (and by some margin > ε).
The lemmas `cfc_zero` and `cfcₙ_zero` are no longer marked `@[simp]` because it can now prove them.
---
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|
t-analysis |
71/65 |
Mathlib/Analysis/CStarAlgebra/ApproximateUnit.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Instances.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Isometric.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/NonUnital.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/RealImaginaryPart.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Restrict.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Unital.lean,Mathlib/Analysis/CStarAlgebra/Unitary/Connected.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/ExpLog/Basic.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/PosPart/Basic.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/Rpow/Basic.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/Rpow/IntegralRepresentation.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/Rpow/RingInverseOrder.lean |
13 |
1 |
['github-actions'] |
nobody |
5-15498 5 days ago |
5-16648 5 days ago |
5-16944 5 days |
| 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
|
31/11 |
Mathlib/Data/List/Sort.lean |
1 |
2 |
['github-actions'] |
nobody |
5-11591 5 days ago |
5-71820 5 days ago |
5-71807 5 days |
| 42605 |
tb65536 author:tb65536 |
feat(Analysis/Subadditive): multiplicative Fekete's lemma |
This PR proves Fekete's lemma for nonnegative submultiplicative sequences (the nth roots of a submultiplicative sequence converge). This will be applied to the sequence `‖a ^ k‖ ^ (k : ℝ)⁻¹` in a normed ring.
---
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|
t-analysis
large-import
|
83/16 |
Mathlib/Analysis/Subadditive.lean |
1 |
3 |
['ADedecker', 'github-actions', 'tb65536'] |
nobody |
5-4756 5 days ago |
16-51304 16 days ago |
16-51292 16 days |
| 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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|
|
10/245 |
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/Finsupp/PointwiseSMul.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 |
124 |
6 |
['felixpernegger', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts'] |
nobody |
5-2307 5 days ago |
5-4317 5 days ago |
44-20363 44 days |
| 42407 |
tb65536 author:tb65536 |
refactor(Algebra/Group/*): redefine `IsAddTorsionFree` and `IsMulTorsionFree` |
This PR redefines torsion-free to be that exponentiation by every non-zero element `n : ℕ` is injective on commuting elements (i.e., `a * b = b * a → a ^ n = b ^ n → a = b`).
For commutative monoids, this is equivalent to `a ^ n = b ^ n → a = b`.
For groups, this is equivalent to `a ^ n = 1 → a = 1`.
Thus, this definition reconciles the notions of torsion-free for groups and commutative semigroups.
This definition was taken from this mathoverflow answer: https://mathoverflow.net/a/377268/95685
Zulip thread: [#mathlib4 > Definition of `IsMulTorsionFree`](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Definition.20of.20.60IsMulTorsionFree.60/with/614317763)
The old definition has been renamed to `HasUniqueRoots` and `HasUniqueDiv` (analogous to `RootableBy` and `DivisibleBy`).
---
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|
t-algebra
t-group-theory
label:t-algebra$ |
169/66 |
Mathlib/Algebra/BigOperators/Group/Multiset/Basic.lean,Mathlib/Algebra/Group/Commute/Defs.lean,Mathlib/Algebra/Group/Hom/Defs.lean,Mathlib/Algebra/Group/Int/Defs.lean,Mathlib/Algebra/Group/Monoid.lean,Mathlib/Algebra/Group/Nat/Defs.lean,Mathlib/Algebra/Group/Opposite.lean,Mathlib/Algebra/Group/Pi/Torsion.lean,Mathlib/Algebra/Group/Prod.lean,Mathlib/Algebra/Group/Subgroup/Basic.lean,Mathlib/Algebra/Group/Torsion.lean,Mathlib/Algebra/Group/TypeTags/Basic.lean,Mathlib/Algebra/GroupWithZero/Torsion.lean,Mathlib/Algebra/Module/Rat.lean,Mathlib/Algebra/Module/Torsion/Free.lean,Mathlib/Algebra/NoZeroSMulDivisors/Defs.lean,Mathlib/Algebra/Order/GroupWithZero/Canonical.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Pow.lean,Mathlib/Algebra/Ring/CharZero.lean,Mathlib/Algebra/Ring/Torsion.lean,Mathlib/Data/Complex/Basic.lean,Mathlib/GroupTheory/FreeGroup/CyclicallyReduced.lean,Mathlib/GroupTheory/MonoidLocalization/Basic.lean,Mathlib/GroupTheory/OrderOfElement.lean,Mathlib/NumberTheory/Padics/MahlerBasis.lean,Mathlib/RingTheory/Binomial.lean |
26 |
13 |
['SnirBroshi', 'github-actions', 'mathlib-merge-conflicts', 'plp127', 'tb65536'] |
nobody |
5-1101 5 days ago |
5-4913 5 days ago |
17-75237 17 days |
| 42245 |
plp127 author:plp127 |
chore(FreeRing): use `MonoidAlgebra ℤ` instead of `FreeAbelianGroup` |
Replace `FreeAbelianGroup` with `MonoidAlgebra ℤ` in the definition of `FreeRing` and `FreeCommRing`. The intent is to deprecate and remove the multiplication on `FreeAbelianGroup` so it can be `@[to_additive]`-ized.
---
- [x] depends on: #42239
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|
tech debt
large-import
|
79/83 |
Mathlib/RingTheory/FreeCommRing.lean,Mathlib/RingTheory/FreeRing.lean,Mathlib/SetTheory/Cardinal/Free.lean |
3 |
3 |
['github-actions', 'mathlib-dependent-issues', 'vlad902'] |
nobody |
5-0 5 days ago |
5-3458 5 days ago |
5-4517 5 days |
| 43003 |
kim-em author:kim-em |
feat(Tactic/NormNum): run simp's default simprocs inside norm_num |
This PR makes `norm_num` run simp's default simprocs.
`norm_num` builds its own `Simp.Methods` rather than going through `Simp.mkDefaultMethods`, and passes an empty `SimprocsArray` to `Simp.preDefault`/`Simp.postDefault`. Simprocs were only folded into `preDefault`/`postDefault` in Lean v4.6.0; in v4.4 and v4.5 those functions had signature `(e) (discharge?)` and knew nothing about simprocs, and `norm_num` did not pick them up by any other route either. So no simproc has ever fired inside `norm_num`, which is surprising given that `norm_num` is documented as using `simp` to simplify the goal.
The user-visible consequence is that `norm_num` cannot do arithmetic in any type whose arithmetic is implemented by simprocs rather than by `norm_num` extensions or simp lemmas. All of the following fail on master and succeed here:
```lean
example : (2 : Fin 7) + 6 = 1 := by norm_num
example : (3 : Fin 7) * 5 = 1 := by norm_num
example : (2 : Fin 7) < 5 := by norm_num
example : (⟨3, by omega⟩ : Fin 7) = 3 := by norm_num
example : (5 : UInt8) + 3 = 8 := by norm_num
example : (200 : UInt8) + 100 = 44 := by norm_num
example : (5 : Int8) * 3 = 15 := by norm_num
example : (0xff : BitVec 8) &&& 0x0f = 0x0f := by norm_num
```
The simproc set is threaded through `getSimpContext`, `deriveSimp` and `methods`, mirroring core's `mkSimpContext`: plain `norm_num` gets `Simp.getSimprocs`, `norm_num only` gets the empty set exactly as `simp only` does, and `norm_num1` is unaffected since it does not call `simp` at all. `NormNum.discharge` keeps its current simproc-free behaviour by default, so `reduce_mod_char` is unchanged.
🤖 Prepared with Claude Code
|
t-meta |
31/18 |
Mathlib/Tactic/CancelDenoms/Core.lean,Mathlib/Tactic/NormNum/Core.lean,MathlibTest/Tactic/NormNum/Basic.lean |
3 |
4 |
['github-actions', 'kim-em', 'leanprover-radar'] |
nobody |
4-83395 4 days ago |
4-83395 4 days ago |
4-83382 4 days |
| 39387 |
marcelolynch author:marcelolynch |
feat(Tactic/Linter): add superfluousExpose linter |
Dual of `privateModule`: lints against modules with `@[expose] public section` where no declaration needs its body visible downstream. Suggests removing the `@[expose]` modifier. The removal hides the bodies of the section and does not change downstream typechecking.
A declaration 'benefits from exposure' iff its body matters to downstream typechecking: plain `def`, plain `inductive`, `@[match_pattern]` def, `@[irreducible]` def / `irreducible_def`, `@[reducible]` def, or a `@[to_additive]`-decorated def. A hidden body of a `@[reducible]` def breaks even same-file public `rfl` proofs, so only `abbrev` carries its own exposure. Theorems, abbrevs, classes, structures, instances, `unsafe`/`partial` defs, compiler-generated auxiliaries, projections, matchers, and notation-generated parser entries do not.
The linter is a stateful linter (leanprover/lean4#14357). It tracks maximal regions of commands whose scope is public and carries the `expose` attribute, and it classifies the declarations of each command while the scopes of that command are still active. Two properties follow. A file with several expose sections gets one verdict per section, so one exposed-body `def` no longer masks a sibling section. And `scoped instance` and `local instance` declarations classify correctly, which an end-of-file check cannot do: after the `end`, those declarations look like plain defs.
The linter is conservative: known limitations produce a false negative, never a false positive that would break downstream builds. The module docstring lists them. The main case is tactic-implementation defs, such as the defs behind `elab` or `simproc_decl`, which count as ordinary defs.
Includes test files covering positive and negative cases, one file per case. A companion cleanup applies the suggestions to mathlib: #39388.
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
|
1063/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Linter/SuperfluousExpose.lean,MathlibTest/Linter/SuperfluousExpose.lean,MathlibTest/Linter/SuperfluousExpose/Negative_ExposeInBlockComment.lean,MathlibTest/Linter/SuperfluousExpose/Negative_ExposeOnNonPublicSection.lean,MathlibTest/Linter/SuperfluousExpose/Negative_Inductive.lean,MathlibTest/Linter/SuperfluousExpose/Negative_InstPrefixedDef.lean,MathlibTest/Linter/SuperfluousExpose/Negative_IrreducibleDef.lean,MathlibTest/Linter/SuperfluousExpose/Negative_MatchPattern.lean,MathlibTest/Linter/SuperfluousExpose/Negative_NoExposeSection.lean,MathlibTest/Linter/SuperfluousExpose/Negative_PlainDef.lean,MathlibTest/Linter/SuperfluousExpose/Negative_ReducibleDef.lean,MathlibTest/Linter/SuperfluousExpose/Negative_TermPrefixedDef.lean,MathlibTest/Linter/SuperfluousExpose/Negative_ToAdditive.lean,MathlibTest/Linter/SuperfluousExpose/Positive_AbbrevOnly.lean,MathlibTest/Linter/SuperfluousExpose/Positive_ClassOnly.lean,MathlibTest/Linter/SuperfluousExpose/Positive_LocalInstance.lean,MathlibTest/Linter/SuperfluousExpose/Positive_MultiSection.lean,MathlibTest/Linter/SuperfluousExpose/Positive_Notation.lean,MathlibTest/Linter/SuperfluousExpose/Positive_PartialDef.lean,MathlibTest/Linter/SuperfluousExpose/Positive_Recursors.lean,MathlibTest/Linter/SuperfluousExpose/Positive_ScopedInstance.lean,MathlibTest/Linter/SuperfluousExpose/Positive_TheoremOnly.lean,MathlibTest/Linter/SuperfluousExpose/Positive_UnsafeDef.lean |
25 |
3 |
['eric-wieser', 'github-actions', 'marcelolynch'] |
thorimur assignee:thorimur |
4-81458 4 days ago |
15-4495 15 days ago |
15-4482 15 days |
| 40155 |
TheGoedeDoel author:TheGoedeDoel |
feat: functor of localized commutative rings |
Given a functor of commutative rings R and a submonoid functor S,
we add a functor of commutative rings with objects that are localizations
of R(U) at the submonoid S(U). We also show that this functor satisfies a
universal property.
---
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|
t-algebra
new-contributor
label:t-algebra$ |
255/0 |
Mathlib.lean,Mathlib/Algebra/Category/ModuleCat/LocalizedFunctor.lean |
2 |
14 |
['TheGoedeDoel', 'chrisflav', 'github-actions'] |
joneugster assignee:joneugster |
4-81457 4 days ago |
76-3081 76 days ago |
85-3112 85 days |
| 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 |
67/0 |
Mathlib.lean,Mathlib/RingTheory/Valuation/Algebraic.lean |
2 |
1 |
['github-actions'] |
joneugster assignee:joneugster |
4-81455 4 days ago |
84-14314 84 days ago |
84-14301 84 days |
| 40579 |
jcreinhold author:jcreinhold |
feat(Algebra/Category/Ring): preserve limits to CommMonCat |
Adds the missing instance saying that forgetting a commutative ring to its multiplicative commutative monoid preserves limits. |
t-algebra
new-contributor
label:t-algebra$ |
7/0 |
Mathlib/Algebra/Category/Ring/Limits.lean |
1 |
8 |
['felixpernegger', 'github-actions', 'jcreinhold'] |
joneugster assignee:joneugster |
4-81454 4 days ago |
73-48369 73 days ago |
73-56830 73 days |
| 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'] |
alreadydone assignee:alreadydone |
4-81452 4 days ago |
37-77710 37 days ago |
37-77697 37 days |
| 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'] |
thorimur assignee:thorimur |
4-81451 4 days ago |
15-6088 15 days ago |
15-6075 15 days |
| 42369 |
SnirBroshi author:SnirBroshi |
fix: remove `DecidableEq Prop` instance |
Convert the `LinearOrder Prop` and `CompleteLinearOrder Prop` instances into `def`s, to avoid providing a global `DecidableEq Prop` instance.
We can convert them back when the decidability fields are removed from `LinearOrder`, but very few places need `LinearOrder Prop` so this seems like a good fix until that happens.
Note that the `DecidableEq Prop` instance causes diamonds with [`instDecidableEqOfIff`](https://leanprover-community.github.io/mathlib4_docs/Init/Core.html#instDecidableEqOfIff).
See [#mathlib4 > leaked `DecidableEq Prop`](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/leaked.20.60DecidableEq.20Prop.60/with/564769361)
---
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|
tech debt |
47/9 |
Mathlib/Algebra/BigOperators/Group/Finset/Basic.lean,Mathlib/Data/Fintype/Sets.lean,Mathlib/Data/Multiset/Filter.lean,Mathlib/Data/Nat/Periodic.lean,Mathlib/Order/CompleteLattice/Basic.lean,Mathlib/Order/PropInstances.lean,Mathlib/RingTheory/Norm/Transitivity.lean,Mathlib/Topology/OmegaCompletePartialOrder.lean,Mathlib/Topology/Order/LowerUpperTopology.lean,Mathlib/Topology/Order/ScottTopology.lean,Mathlib/Topology/Separation/LinearUpperLowerSetTopology.lean,MathlibTest/Instances/DecidableEqProp.lean |
12 |
1 |
['github-actions'] |
JovanGerb assignee:JovanGerb |
4-81450 4 days ago |
24-33544 24 days ago |
24-33531 24 days |
| 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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|
t-algebra
t-category-theory
label:t-algebra$ |
196/43 |
Mathlib.lean,Mathlib/Algebra/Category/Grp/Monoidal.lean,Mathlib/Algebra/Category/Grp/Yoneda.lean,Mathlib/Algebra/Category/Grp/ZModuleEquivalence.lean,Mathlib/CategoryTheory/Monoidal/Closed/Basic.lean,Mathlib/LinearAlgebra/TensorProduct/Basic.lean |
6 |
14 |
['alreadydone', 'github-actions', 'joelriou', 'robin-carlier'] |
kim-em assignee:kim-em |
4-81449 4 days ago |
8-57520 8 days ago |
9-19342 9 days |
| 41982 |
scholzhannah author:scholzhannah |
feat: generalize `OpenPartialHomeomorph/IsImage` to `PartialHomeomorph` |
This is a continuation of #41045.
---
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|
t-topology |
355/11 |
Mathlib.lean,Mathlib/Topology/OpenPartialHomeomorph/IsImage.lean,Mathlib/Topology/PartialHomeomorph/IsImage.lean |
3 |
6 |
['fpvandoorn', 'github-actions', 'scholzhannah'] |
nobody |
4-80558 4 days ago |
26-49075 26 days ago |
26-53832 26 days |
| 43032 |
SnirBroshi author:SnirBroshi |
chore(Order/Fin/Basic): add missing simp lemmas for coercing order embeddings into functions |
---
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|
t-order |
24/1 |
Mathlib/Order/Fin/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
4-76632 4 days ago |
4-80984 4 days ago |
4-83737 4 days |
| 43037 |
kim-em author:kim-em |
feat(Tactic/NormNum): add `norm_num_simproc` and use it for `Nat.fib` |
This PR adds a `norm_num_simproc` command that declares a `norm_num` extension and registers it as a simproc in the given simproc sets from a single declaration. We then try this out for `Nat.fib`, converting the existing `norm_num` extension.
```lean
norm_num_simproc [simp, seval] evalNatFib (Nat.fib _) where
eval {_ _} e := ...
```
declares `evalNatFib : NormNumExt` tagged `@[norm_num Nat.fib _]`, plus `evalNatFib.simproc` registered under `[simp, seval]`. Registering in `seval` makes the procedure reachable from `grind`, which previously could not evaluate `Nat.fib` at all. (`simp` couldn't either.)
`NormNum.derive` walks the extension `DiscrTree` and performs no traversal of its own, so an extension is responsible for normalising its own operands via a recursive `derive`. Consumers that call `derive` directly rather than through `simp` (in particular `ring`, `positivity`, `field_simp`'s discharger, `interval_cases`, and `reduce_mod_char`) depend on that. A simproc only rewrites the expression it is handed, so generating the extension from a simproc instead would silently fail for those consumers as soon as the operands are not already literals. `MathlibTest/Tactic/NormNum/NatFib.lean` verifies that we still get this right with `positivity` on `0 < Nat.fib (Nat.sqrt 144)`.
`Nat.fib` is a deliberately conservative first case. `proveNatFib` is fast doubling, so evaluation is O(log n) big-number multiplications: `Nat.fib 50000` takes 126µs and the only thing that grows is the resulting literal, which is the answer the caller asked for. Around 30 further extensions are candidates for the same treatment, but several of them (e.g. `Nat.factorial`, `Nat.Prime`, the Jacobi and Legendre symbols) are not bounded that way, and a globally registered `[simp]` simproc runs on every `simp` call in the library. Those want per-extension `[simp]` versus `[seval]` decisions and their own benchmarks.
🤖 Prepared with Claude Code
|
t-meta |
78/9 |
Mathlib/Tactic/NormNum/Core.lean,Mathlib/Tactic/NormNum/NatFib.lean,MathlibTest/Tactic/NormNum/NatFib.lean |
3 |
1 |
['github-actions'] |
nobody |
4-64524 4 days ago |
4-66805 4 days ago |
4-69144 4 days |
| 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 |
4-58045 4 days ago |
18-55512 18 days ago |
18-68146 18 days |
| 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 |
4-56410 4 days ago |
4-57567 4 days ago |
4-57554 4 days |
| 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 |
26 |
['D-Thomine', 'github-actions', 'mathlib-merge-conflicts', 'mcdoll'] |
mcdoll assignee:mcdoll |
4-53167 4 days ago |
4-55475 4 days ago |
41-86338 41 days |
| 42983 |
sgouezel author:sgouezel |
feat: introduce an IsNormableSpace class |
This is relevant to be able to use functions like `ContinuousLinearMap.flip` on tangent spaces, which are normable but not normed. See Zulip discussion at [#Is there code for X? > Pulling back continuous inner product @ 💬](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Pulling.20back.20continuous.20inner.20product/near/614796625)
This PR introduces a new typeclass `IsNormableSpace 𝕜 E` modelled on `PolynormableSpace 𝕜 E` and establishes basic API. It extends basic bilinear functions (like `ContinuousLinearMap.flip` or `ContinuousLInearMap.bilinearComp`) to normable spaces. It also shows that finite-dimensional spaces are normable, as well as spaces of continuous linear maps between normable spaces.
---
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|
t-analysis
large-import
|
318/122 |
Mathlib/Analysis/Distribution/ContDiffMapSupportedIn.lean,Mathlib/Analysis/Fourier/AddCircleMulti.lean,Mathlib/Analysis/InnerProductSpace/Defs.lean,Mathlib/Analysis/LocallyConvex/PointwiseConvergence.lean,Mathlib/Analysis/LocallyConvex/WeakDual.lean,Mathlib/Analysis/LocallyConvex/WeakOperatorTopology.lean,Mathlib/Analysis/LocallyConvex/WithSeminorms.lean,Mathlib/Analysis/Normed/Module/Dual.lean,Mathlib/Analysis/Normed/Operator/Basic.lean,Mathlib/Analysis/Normed/Operator/Bilinear.lean,Mathlib/Analysis/Normed/Operator/CompleteCodomain.lean,Mathlib/Analysis/Normed/Operator/NormedSpace.lean,Mathlib/Geometry/Manifold/IsManifold/Basic.lean,Mathlib/Topology/Algebra/Module/FiniteDimension.lean,Mathlib/Topology/Algebra/Module/FiniteDimensionBilinear.lean |
15 |
17 |
['felixpernegger', 'github-actions', 'leanprover-radar', 'plp127', 'sgouezel'] |
nobody |
4-53072 4 days ago |
5-27685 5 days ago |
5-61448 5 days |
| 40663 |
Vierkantor author:Vierkantor |
feat: solve equalities of instances in `convert` |
This PR sets the `preTransparency` of `convert` to `.instances`, which means it will not run congruence on goals that already are equal at `.instances` transparency. In other words, `convert` (without exclamation) should leave no goals of the form `instA.toC = instB.toC`.
There are 387 (~ 8.5%) additional `convert!` calls in Mathlib that could become `convert` after this change, in addition to 2626 (~ 57,8%) where `convert` already succeeds at reducible transparency. I found no cases where `postTransparency := .instances` would be needed instead.
Full breakdown of stats, according to the test script below and passing the captured log messages to `sort | uniq -c`:
* 2626 `convert` would work
* 1513 `convert!` (i.e. `convert (postTransparency := .default)`) is required
* 387 `convert (preTransparency := .instances)` is required
* 16 cause an error in the test script
The test script consists of replacing the elaborator for `convert` with:
```lean
def sameGoals (gs₁ gs₂ : List MVarId) : MetaM Bool := do
if gs₁.length == gs₂.length then
try
(gs₁.zip gs₂).allM fun (g₁, g₂) => do
-- Check that they agree on the set of free variables, otherwise we get errors.
-- We assume the context in the `convert` case is a subset of the `convert!` case
-- since `convert!` can more agressively unfold and introduce more variables.
if !(← g₁.getDecl).lctx.isSubPrefixOf (← g₂.getDecl).lctx then return false
g₂.withContext <| withReducible <| isDefEq (← g₁.getType) (← g₂.getType)
catch _ => return false
else
return false
elab_rules : tactic
| `(tactic| convert $[!%$expensive]? $cfg $[←%$sym]? $term $[using $n]? $[with $ps?*]?) =>
withMainContext do
let actualConfig ← Convert.elabConfig expensive.isSome cfg
let cheapConfig ← Convert.elabConfig false cfg
let redConfig := { cheapConfig with
preTransparency := .reducible, postTransparency := .reducible }
let preInstConfig := { cheapConfig with
preTransparency := .instances, postTransparency := .reducible }
let postInstConfig := { cheapConfig with
postTransparency := .instances, preTransparency := .reducible }
let patterns := (ps?.getD #[]).toList
let expectedType ← mkFreshExprMVar (mkSort (← getLevel (← getMainTarget)))
let (e, gs) ← elabTermForConvert term expectedType
liftMetaTactic fun g ↦ do
-- Don't retain metavar assignments but do retain messages.
let msgs ← withoutModifyingState do
try
let actualGoals ← g.convert e sym.isSome (n.map (·.getNat)) actualConfig patterns
let redGoals ← g.convert e sym.isSome (n.map (·.getNat)) redConfig patterns
if ← sameGoals actualGoals redGoals then
logInfo m!"convert(reducible)"
else
let preInstGoals ← g.convert e sym.isSome (n.map (·.getNat)) preInstConfig patterns
if ← sameGoals actualGoals preInstGoals then
logInfo m!"convert(preInst)"
else
let postInstGoals ← g.convert e sym.isSome (n.map (·.getNat)) postInstConfig patterns
if ← sameGoals actualGoals postInstGoals then
logInfo m!"convert(postInst)"
else if expensive.isSome then
logInfo m!"convert(expensive)"
else
logInfo m!"convert(error)"
catch e =>
logInfo m!"convert(error {e.toMessageData})"
pure ()
Core.getMessageLog
Core.setMessageLog msgs
return (← g.convert e sym.isSome (n.map (·.getNat)) actualConfig patterns) ++ gs
```
---
Ideally we'd run a benchmark on this PR, or even better one that compares `preTransparency` and `postTransparency`. But we don't have a lot of calls to plain `convert` yet, since I'd want to wait for the migration until #38071 is merged.
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|
t-meta |
46/7 |
Mathlib/Algebra/GCDMonoid/Basic.lean,Mathlib/Analysis/SpecialFunctions/Log/InvLog.lean,Mathlib/Geometry/Euclidean/Incenter.lean,Mathlib/NumberTheory/ClassNumber/AdmissibleCardPowDegree.lean,Mathlib/Tactic/Convert.lean,MathlibTest/Tactic/Convert/Instances.lean |
6 |
21 |
['JovanGerb', 'Vierkantor', 'github-actions', 'joneugster', 'leanprover-radar'] |
JovanGerb assignee:JovanGerb |
4-49594 4 days ago |
9-30162 9 days ago |
45-31778 45 days |
| 43041 |
ajirving author:ajirving |
feat(Analysis/Analytic): analytic order of a constant function and multiplying by constants |
---
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Adds analyticOrderAt_const (which matches the meromorphic version) as well as various forms of analyticOrderAt_mul_const and analyticOrderNatAt variants. |
t-analysis |
42/0 |
Mathlib/Analysis/Analytic/Order.lean |
1 |
1 |
['github-actions'] |
nobody |
4-39054 4 days ago |
4-39685 4 days ago |
4-40349 4 days |
| 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 |
1 |
['github-actions'] |
nobody |
4-39053 4 days ago |
4-40971 4 days ago |
4-40958 4 days |
| 42924 |
D-Thomine author:D-Thomine |
chore(MeasureTheory): generalize hypotheses to `NullMeasurableSet` |
This PR generalizes many statements in `Mathlib.MeasureTheory` from `MeasurableSet s` to `NullMeasurableSet s μ`.
This is particularly useful for lemmas around uniform integrability. A few technical statements which existed only to work around issues of measurability are deprecated thanks to this: `MemLp.eLpNorm_indicator_le_of_meas`, `UniformIntegrable.spec'`, `MemLp.uniformIntegrable_of_identDistrib_aux`. This PR is a preliminary (and necessary) work before a much more thorough refactor of `MeasureTheory.Function.UniformIntegrable`.
I have chosen to change the hypotheses in place (generalizing the lemmas) instead of adding variants with the new hypothesis, in order to limit quasi-duplicates. There are some limits to this strategy, and a few lemmas have now both `MeasurableSet` and `NullMeasurableSet` versions:
* either if the `MeasurableSet` version was tagged as `simp`;
* or `integrable_indicator_iff₀`, `setLIntegral_congr_fun_ae₀`, `setLIntegral_congr_fun₀`, `setLIntegral_eq_zero₀`, `lintegral_add_compl₀`, `setLIntegral_compl₀`.
The latter 6 lemmas account for the largest potential downstream effects of this PR. If I did not keep the former versions of these 6 lemmas, this PR would have affected five time as many files, including files in e.g. `Geometry` or `NumberTheory`. It seems reasonable that, for quality of life purposes, we keep a few files with `MeasurableSet` hypotheses which are widely used in settings where measurability is essentially a given.
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|
t-measure-probability |
239/211 |
Mathlib/Analysis/Normed/Lp/SmoothApprox.lean,Mathlib/MeasureTheory/Function/ConditionalExpectation/AEMeasurable.lean,Mathlib/MeasureTheory/Function/ConditionalExpectation/Real.lean,Mathlib/MeasureTheory/Function/EssSup.lean,Mathlib/MeasureTheory/Function/LpSeminorm/CompareExp.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Indicator.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Monotonicity.lean,Mathlib/MeasureTheory/Function/LpSpace/Indicator.lean,Mathlib/MeasureTheory/Function/SimpleFuncDenseLp.lean,Mathlib/MeasureTheory/Function/StronglyMeasurable/AEStronglyMeasurable.lean,Mathlib/MeasureTheory/Function/UnifTight.lean,Mathlib/MeasureTheory/Function/UniformIntegrable.lean,Mathlib/MeasureTheory/Integral/IntegrableOn.lean,Mathlib/MeasureTheory/Integral/Lebesgue/Basic.lean,Mathlib/MeasureTheory/Integral/PeakFunction.lean,Mathlib/MeasureTheory/Measure/Decomposition/Lebesgue.lean,Mathlib/MeasureTheory/Measure/Restrict.lean,Mathlib/Probability/IdentDistrib.lean,Mathlib/Probability/Kernel/Condexp.lean,Mathlib/Probability/Process/Stopping.lean |
20 |
6 |
['felixpernegger', 'github-actions', 'sgouezel'] |
EtienneC30 and sgouezel assignee:sgouezel assignee:EtienneC30 |
4-35610 4 days ago |
7-82412 7 days ago |
7-82399 7 days |
| 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'] |
nobody |
4-24473 4 days ago |
5-16785 5 days ago |
7-53244 7 days |
| 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 |
187/0 |
Mathlib.lean,Mathlib/Analysis/Distribution/SchwartzSpace/CompactSupport.lean |
2 |
1 |
['github-actions'] |
nobody |
4-19870 4 days ago |
4-23238 4 days ago |
4-23225 4 days |
| 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 |
4-12744 4 days ago |
4-14877 4 days ago |
4-14864 4 days |
| 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'] |
nobody |
4-8035 4 days ago |
4-10677 4 days ago |
4-10704 4 days |
| 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 |
6 |
['alreadydone', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts', 'tb65536'] |
nobody |
4-7854 4 days ago |
4-9007 4 days ago |
39-37120 39 days |
| 42404 |
Robertboy18 author:Robertboy18 |
chore(downstream_repos): add TorchLean |
This PR adds [TorchLean](https://github.com/lean-dojo/TorchLean) to `scripts/downstream_repos.yml`!
TorchLean is the first unified Lean 4 framework for neural-network specification,
execution, training, and formal verification. It depends on Mathlib and maintains
build and documentation workflows on its default branch! Let me know if something else is needed:)
|
CI
new-contributor
|
7/0 |
scripts/downstream_repos.yml |
1 |
2 |
['copilot-pull-request-reviewer', 'github-actions'] |
nobody |
4-1294 4 days ago |
20-80827 20 days ago |
20-80814 20 days |
| 36428 |
wrenna-robson author:wrenna-robson |
feat(Logic/Equiv/Fin): Streamline equiv definitions using mkDivMod |
This PR uses Fin.mkDivMod to streamline the related equivalence and introduces Nat.mkDivMod to a similar end.
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|
t-data |
64/67 |
Mathlib/Analysis/SpecialFunctions/Complex/Arctan.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Series.lean,Mathlib/Data/Nat/Init.lean,Mathlib/Logic/Equiv/Fin/Basic.lean,Mathlib/NumberTheory/Height/MvPolynomial.lean,Mathlib/Order/Partition/Equipartition.lean |
6 |
6 |
['JovanGerb', 'github-actions', 'mathlib-merge-conflicts', 'wrenna-robson'] |
joneugster assignee:joneugster |
3-81460 3 days ago |
42-49611 42 days ago |
70-3939 70 days |
| 40857 |
BryceT233 author:BryceT233 |
feat(RingTheory/Radical): radical of principal ideals in a UFD |
This PR resolves the "TODO" in `RingTheory/Radical/Basic.lean` by connecting `UniqueFactorizationMonoid.radical` with `Ideal.radical`.
---
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|
t-ring-theory
large-import
|
44/4 |
Mathlib/RingTheory/Radical/Basic.lean |
1 |
1 |
['github-actions'] |
mattrobball assignee:mattrobball |
3-81457 3 days ago |
66-69861 66 days ago |
66-69848 66 days |
| 42276 |
yuanyi-350 author:yuanyi-350 |
feat(IMO): archive IMO 2026 Q5 |
|
IMO |
196/0 |
Archive.lean,Archive/Imo/Imo2026Q5.lean |
2 |
8 |
['felixpernegger', 'github-actions'] |
nobody |
3-80558 3 days ago |
25-31741 25 days ago |
27-58587 27 days |
| 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 |
3-68220 3 days ago |
3-68841 3 days ago |
42-24340 42 days |
| 43054 |
wwylele author:wwylele |
feat(Geometry/Euclidean): cross section perpendicular to the altitude of the simplex |
Extracted from #37910. This sets up affine geometry lemma for calculating the volume.
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|
t-euclidean-geometry |
75/2 |
Mathlib/Analysis/InnerProductSpace/Orthogonal.lean,Mathlib/Analysis/InnerProductSpace/Projection/Basic.lean,Mathlib/Analysis/InnerProductSpace/Projection/Submodule.lean,Mathlib/Geometry/Euclidean/Altitude.lean,Mathlib/LinearAlgebra/AffineSpace/AffineSubspace/Defs.lean,Mathlib/LinearAlgebra/AffineSpace/AffineSubspace/Shift.lean |
6 |
1 |
['copilot-pull-request-reviewer', 'github-actions'] |
jsm28 assignee:jsm28 |
3-67921 3 days ago |
3-82798 3 days ago |
4-3584 4 days |
| 42434 |
kebekus author:kebekus |
chore: rename files |
Rename files in `Mathlib/Analysis/SpecialFunctions/Integrability` and `Mathlib/Analysis/SpecialFunctions/Integrals` to better reflect their contents, and update docstrings. The current file names are somewhat unsystematic, very specialized, and will be seen as misleading once more material is added.
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file-removed
t-analysis
|
116/62 |
Mathlib.lean,Mathlib/Analysis/Complex/JensenFormula.lean,Mathlib/Analysis/Complex/ValueDistribution/Proximity/Basic.lean,Mathlib/Analysis/Complex/ValueDistribution/Proximity/IntegralPresentation.lean,Mathlib/Analysis/Polynomial/MahlerMeasure.lean,Mathlib/Analysis/SpecialFunctions/Integrability/Log.lean,Mathlib/Analysis/SpecialFunctions/Integrability/PosLog.lean,Mathlib/Analysis/SpecialFunctions/Integrals/Log.lean,Mathlib/Analysis/SpecialFunctions/Integrals/PosLog.lean |
9 |
5 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
3-64983 3 days ago |
3-65642 3 days ago |
20-12979 20 days |
| 38369 |
quantumsnow author:quantumsnow |
feat(AlgebraicTopology): Eilenberg Steenrod axioms |
This introduces the Eilenberg-Steenrod axioms for a homology theory.
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|
new-contributor
t-algebraic-topology
large-import
|
305/7 |
Mathlib/AlgebraicTopology/EilenbergSteenrod.lean,Mathlib/Topology/Category/TopPair.lean |
2 |
77 |
['chrisflav', 'dagurtomas', 'github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'quantumsnow'] |
robin-carlier assignee:robin-carlier |
3-42242 3 days ago |
3-42242 3 days ago |
58-74942 58 days |
| 35504 |
JoaBjo author:JoaBjo |
feat(Probability/Distributions/Exponential): add MGF, moments, and memoryless property |
Add the main analytic results for the exponential distribution:
- moment-generating function `mgf id (expMeasure r) t = r / (r - t)` for `t < r`
- mean `∫ x, x ∂(expMeasure r) = r⁻¹`
- variance `Var[id; expMeasure r] = r⁻¹ ^ 2`
- `ℒp` membership for all `p`
- tail probability `P(X > x) = exp (-(r * x))`
- memoryless property `P(X > s + t | X > s) = P(X > t)`
The MGF is computed by reducing to the known improper integral `∫ exp(c * x)` on `Ioi`, and integrability is deduced by contradiction from the positive closed-form value. The mean and variance are computed via the Gamma function integral `∫₀^∞ x^(n-1) exp(-r x) dx = Γ(n) / rⁿ`. The memoryless property follows from the exponential identity `exp(-(r(s+t))) = exp(-rt) * exp(-rs)`.
🤖 Claude Code (Fable) was used in this PR to resolve a merge with master. It adapted the branch's code to upstream renames/deprecations. It also restructured a proof that broke in the merge.
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new-contributor
t-measure-probability
large-import
|
199/0 |
Mathlib/Probability/Distributions/Exponential.lean |
1 |
11 |
['EtienneC30', 'JoaBjo', 'Timeroot', 'github-actions', 'mathlib-merge-conflicts'] |
EtienneC30 assignee:EtienneC30 |
3-39583 3 days ago |
3-39677 3 days ago |
45-50589 45 days |
| 43063 |
joelriou author:joelriou |
feat(CategoryTheory): right Kan extensions and Guitart exact squares |
This PR only dualises for right Kan extensions what had already been obtained for left Kan extensions.
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t-category-theory |
147/4 |
Mathlib/CategoryTheory/GuitartExact/KanExtension.lean |
1 |
2 |
['github-actions'] |
nobody |
3-36235 3 days ago |
3-37506 3 days ago |
3-37493 3 days |
| 43005 |
YaelDillies author:YaelDillies |
chore(Logic/Equiv): swap the names of `Equiv.setCongr` and `Equiv.Set.congr` |
The new `Equiv.setCongr` matches `MulEquiv.monoidHomCongrLeft` and friends. Perform the same change for `Finset`.
Follow-up to #42640.
Generated by Claude Sonnet, reviewed and improved line-by-line by myself.
Assisted-by: Claude Sonnet 5
---
`Equiv.Set.congr` is a strange name for the other operation. Other subobjects tend to have this operation be called `Subfoo.fooEquivOfEq`. This can be renamed again later, or in this PR.
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|
t-data |
126/133 |
Mathlib/Algebra/Algebra/Subalgebra/Basic.lean,Mathlib/Algebra/Field/Subfield/Basic.lean,Mathlib/Algebra/Group/Subgroup/Map.lean,Mathlib/Algebra/Group/Submonoid/Operations.lean,Mathlib/Algebra/Group/Subsemigroup/Operations.lean,Mathlib/Algebra/Module/Submodule/Equiv.lean,Mathlib/Algebra/Order/Antidiag/Pi.lean,Mathlib/Algebra/Ring/Subring/Basic.lean,Mathlib/Algebra/Ring/Subsemiring/Basic.lean,Mathlib/Analysis/Matrix/Order.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Arctan.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean,Mathlib/CategoryTheory/Galois/Examples.lean,Mathlib/Combinatorics/Additive/Dissociation.lean,Mathlib/Combinatorics/Young/YoungDiagram.lean,Mathlib/Data/Finset/Basic.lean,Mathlib/Data/Finset/Image.lean,Mathlib/Data/Finset/Sort.lean,Mathlib/Data/Fintype/Sort.lean,Mathlib/Data/Set/Pairwise/Lattice.lean,Mathlib/Data/Setoid/Basic.lean,Mathlib/FieldTheory/Perfect.lean,Mathlib/GroupTheory/Coset/Basic.lean,Mathlib/GroupTheory/GroupAction/Defs.lean,Mathlib/GroupTheory/GroupAction/Quotient.lean,Mathlib/GroupTheory/OrderOfElement.lean,Mathlib/GroupTheory/Perm/Finite.lean,Mathlib/GroupTheory/Sylow.lean,Mathlib/LinearAlgebra/AffineSpace/AffineSubspace/Basic.lean,Mathlib/LinearAlgebra/ExteriorPower/Basic.lean,Mathlib/LinearAlgebra/RootSystem/Base.lean,Mathlib/LinearAlgebra/Trace.lean,Mathlib/Logic/Equiv/Fintype.lean,Mathlib/Logic/Equiv/Set.lean,Mathlib/Logic/Small/Basic.lean,Mathlib/ModelTheory/Order.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/Defs.lean,Mathlib/NumberTheory/NumberField/Ideal/KummerDedekind.lean,Mathlib/NumberTheory/SmoothNumbers.lean,Mathlib/Order/Hom/Lex.lean,Mathlib/Order/Hom/Set.lean,Mathlib/Order/ModularLattice.lean,Mathlib/Order/Partition/Basic.lean,Mathlib/Order/Preorder/Finite.lean,Mathlib/Order/SupClosed.lean,Mathlib/RingTheory/AlgebraicIndependent/TranscendenceBasis.lean,Mathlib/RingTheory/AlgebraicIndependent/Transcendental.lean,Mathlib/RingTheory/DedekindDomain/AdicValuation.lean,Mathlib/RingTheory/Localization/AtPrime/Basic.lean,Mathlib/RingTheory/NonUnitalSubring/Basic.lean,Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean,Mathlib/SetTheory/Ordinal/FundamentalSequence.lean,Mathlib/Topology/Algebra/Valued/WithVal.lean,Mathlib/Topology/Category/Profinite/Nobeling/Successor.lean,Mathlib/Topology/Category/Profinite/Nobeling/ZeroLimit.lean,Mathlib/Topology/Homeomorph/Lemmas.lean,Mathlib/Topology/Irreducible.lean,Mathlib/Topology/UniformSpace/Equiv.lean |
58 |
1 |
['github-actions'] |
ocfnash assignee:ocfnash |
3-33991 3 days ago |
5-49751 5 days ago |
5-49738 5 days |
| 43067 |
yuanyi-350 author:yuanyi-350 |
feat(Topology/Metrizable): generalize compact separability |
migrate from #42470 |
t-topology |
15/10 |
Mathlib/Topology/EMetricSpace/Basic.lean,Mathlib/Topology/Metrizable/Basic.lean |
2 |
1 |
['github-actions'] |
nobody |
3-30845 3 days ago |
3-32171 3 days ago |
3-32158 3 days |
| 43066 |
joelriou author:joelriou |
chore(AlgebraicTopology/SimplicialSet/AnodyneExtensions): removing some `set_option` |
---
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|
t-algebraic-topology
tech debt
|
40/103 |
Mathlib/AlgebraicTopology/SimplicialSet/AnodyneExtensions/IsUniquelyCodimOneFace.lean,Mathlib/AlgebraicTopology/SimplicialSet/AnodyneExtensions/Op.lean,Mathlib/AlgebraicTopology/SimplicialSet/AnodyneExtensions/Pairing.lean,Mathlib/AlgebraicTopology/SimplicialSet/AnodyneExtensions/PairingCore.lean,Mathlib/AlgebraicTopology/SimplicialSet/AnodyneExtensions/Rank.lean,Mathlib/AlgebraicTopology/SimplicialSet/AnodyneExtensions/RelativeCellComplex.lean,Mathlib/AlgebraicTopology/SimplicialSet/AnodyneExtensions/UnionProd.lean,Mathlib/AlgebraicTopology/SimplicialSet/NonDegenerateSimplicesSubcomplex.lean,Mathlib/AlgebraicTopology/SimplicialSet/Simplices.lean,Mathlib/AlgebraicTopology/SimplicialSet/StdSimplex.lean,Mathlib/CategoryTheory/Limits/Shapes/Preorder/PrincipalSeg.lean,Mathlib/CategoryTheory/Monoidal/Category.lean,Mathlib/CategoryTheory/Monoidal/Functor.lean,Mathlib/CategoryTheory/Sites/Subsheaf.lean,Mathlib/CategoryTheory/Subfunctor/Basic.lean,Mathlib/CategoryTheory/Types/Basic.lean,Mathlib/Order/Interval/Set/InitialSeg.lean |
17 |
1 |
['github-actions'] |
nobody |
3-26695 3 days ago |
3-28561 3 days ago |
3-31028 3 days |
| 42474 |
joelriou author:joelriou |
feat(AlgebraicTopology/SimplicialSet): `MulStruct.nonempty` |
In this PR, we show that for `SSet.PtSimplex.MulStruct`, it is possible to multiply two `SSet.PtSimplex` and that left inverses exist. This will be used in the construction of homotopy groups of Kan complexes.
---
- [x] depends on: #38216
- [x] depends on: #38664
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t-algebraic-topology
tech debt
|
135/0 |
Mathlib/AlgebraicTopology/SimplicialSet/Boundary.lean,Mathlib/AlgebraicTopology/SimplicialSet/KanComplex/MulStruct.lean |
2 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
3-24792 3 days ago |
13-44203 13 days ago |
13-46221 13 days |
| 41655 |
joelriou author:joelriou |
feat(AlgebraicTopology): filtration of `Δ[p] ⊗ Δ[1]` |
Previously, we defined an enumeration of the non-degenerate `p + 1`-dimensional simplices of `Δ[p] ⊗ Δ[1]`. They "cover" `Δ[p] ⊗ Δ[1]`, and we use the enumeration to define a filtration of `Δ[p] ⊗ Δ[1]` by subcomplexes.
In a future PR, it will be used in order to define a constructor for morphisms from `Δ[p] ⊗ Δ[1]` which shall take as inputs a morphism on each of these `p + 1`-simplices, with a compatibility condition on the intersection of two consecutive simplices in the enumeration.
From https://github.com/joelriou/topcat-model-category
---
- [x] depends on: #41624
- [x] depends on: #41617
[](https://gitpod.io/from-referrer/)
|
t-algebraic-topology |
114/21 |
Mathlib/AlgebraicTopology/SimplicialSet/Boundary.lean,Mathlib/AlgebraicTopology/SimplicialSet/Degenerate.lean,Mathlib/AlgebraicTopology/SimplicialSet/FiniteColimits.lean,Mathlib/AlgebraicTopology/SimplicialSet/FiniteProd.lean,Mathlib/AlgebraicTopology/SimplicialSet/Homotopy.lean,Mathlib/AlgebraicTopology/SimplicialSet/ProdStdSimplex.lean,Mathlib/AlgebraicTopology/SimplicialSet/ProdStdSimplexOne.lean,Mathlib/AlgebraicTopology/SimplicialSet/StdSimplex.lean,Mathlib/AlgebraicTopology/SimplicialSet/Subcomplex.lean,Mathlib/CategoryTheory/Sites/LocallySurjective.lean,Mathlib/CategoryTheory/Subfunctor/Basic.lean,Mathlib/CategoryTheory/Subfunctor/Finite.lean |
12 |
5 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
robin-carlier assignee:robin-carlier |
3-24389 3 days ago |
4-56352 4 days ago |
13-11184 13 days |
| 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 simp 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 |
8 |
['ashebson', 'github-actions', 'grunweg', 'mathlib-bors'] |
nobody |
3-19386 3 days ago |
4-40699 4 days ago |
4-73941 4 days |
| 42732 |
CoolRmal author:CoolRmal |
feat(TacticAnalysis): suggest `rwa` for `rw` followed by `assumption` |
This PR implements [mathlib-initiative/TaskList#55](https://github.com/mathlib-initiative/TaskList/issues/55).
|
t-meta |
80/36 |
Archive/Examples/Kuratowski.lean,Mathlib/Algebra/Regular/SMul.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Chebyshev/RootsExtrema.lean,Mathlib/Computability/Reduce.lean,Mathlib/Data/Seq/Computation.lean,Mathlib/Data/Seq/Defs.lean,Mathlib/MeasureTheory/Integral/Lebesgue/DominatedConvergence.lean,Mathlib/NumberTheory/RamificationInertia/Basic.lean,Mathlib/RepresentationTheory/Character.lean,Mathlib/RingTheory/DiscreteValuationRing/Basic.lean,Mathlib/RingTheory/LaurentSeries.lean,Mathlib/RingTheory/LocalProperties/Basic.lean,Mathlib/RingTheory/MvPolynomial/Symmetric/FundamentalTheorem.lean,Mathlib/RingTheory/Perfection.lean,Mathlib/Tactic/TacticAnalysis/Declarations.lean,Mathlib/Topology/Algebra/Nonarchimedean/Bases.lean,Mathlib/Topology/Category/Stonean/Basic.lean,MathlibTest/Tactic/Cases.lean,MathlibTest/TacticAnalysis.lean |
19 |
5 |
['CoolRmal', 'github-actions', 'leanprover-radar'] |
thorimur assignee:thorimur |
3-11165 3 days ago |
13-21574 13 days ago |
13-27467 13 days |
| 42198 |
lakesare author:lakesare |
feat(Topology/Instances/AddCircle/Defs): add equivAddCircle_eq, continuous_equivAddCircle |
From the Carleson project.
-------
**Upstreaming from Carleson: [/Carleson/ToMathlib/Topology/Instances/AddCircle/Defs.lean](https://github.com/fpvandoorn/carleson/blob/0072b6e47ec58ac13be0a9f3b7c17e9f3bb1be2e/Carleson/ToMathlib/Topology/Instances/AddCircle/Defs.lean)**
### Changes from carleson
- **theorem equivAddCircle_eq**
- refactored, generalized
- **theorem continuous_equivAddCircle**
- refactored, generalized
- `@[continuity]`, `@[fun_prop]` added
### Signatures
```lean
-- CARLESON
AddCircle.continuous_equivAddCircle.{u_3} {𝕜 : Type u_3} [Field 𝕜] {p q : 𝕜} [LinearOrder 𝕜] [IsStrictOrderedRing 𝕜]
[TopologicalSpace 𝕜] [OrderTopology 𝕜] [hp : Fact (0 < p)] [hq : Fact (0 < q)] :
Continuous ⇑(equivAddCircle p q (LT.lt.ne' Fact.out) (LT.lt.ne' Fact.out))
-- MATHLIB
AddCircle.continuous_equivAddCircle.{u_1} {𝕜 : Type u_1} [Field 𝕜] (p q : 𝕜) [LinearOrder 𝕜] [IsStrictOrderedRing 𝕜]
[TopologicalSpace 𝕜] [OrderTopology 𝕜] (hp : p ≠ 0) (hq : q ≠ 0) : Continuous ⇑(equivAddCircle p q hp hq)
```
```lean
-- CARLESON
AddCircle.equivAddCircle_eq.{u_3} {𝕜 : Type u_3} [Field 𝕜] {p q : 𝕜} [LinearOrder 𝕜] [IsStrictOrderedRing 𝕜]
[Archimedean 𝕜] [hp : Fact (0 < p)] [hq : Fact (0 < q)] :
⇑(equivAddCircle p q (LT.lt.ne' Fact.out) (LT.lt.ne' Fact.out)) = fun x ↦ ↑(↑((equivIco p 0) x) * (p⁻¹ * q))
-- MATHLIB
AddCircle.equivAddCircle_eq.{u_1} {𝕜 : Type u_1} [Field 𝕜] (p q : 𝕜) [LinearOrder 𝕜] [IsOrderedAddMonoid 𝕜]
[Archimedean 𝕜] [hp : Fact (0 < p)] (hq : q ≠ 0) :
⇑(equivAddCircle p q (LT.lt.ne' Fact.out) hq) = fun x ↦ ↑(↑((equivIco p 0) x) * (p⁻¹ * q))
``` |
t-topology
carleson
|
13/0 |
Mathlib/Topology/Instances/AddCircle/Defs.lean |
1 |
18 |
['felixpernegger', 'github-actions', 'grunweg', 'lakesare'] |
nobody |
3-5152 3 days ago |
19-75613 19 days ago |
21-50082 21 days |
| 42023 |
lakesare author:lakesare |
feat(Topology/Instances/AddCircle/Defs): add liftIco_coe_apply_of_periodic, liftIoc_coe_apply_of_periodic (5 more lemmas) |
**Upstreaming from Carleson: [/Carleson/ToMathlib/Topology/Instances/AddCircle/Defs.lean](https://github.com/fpvandoorn/carleson/blob/master/Carleson/ToMathlib/Topology/Instances/AddCircle/Defs.lean)**
___
### Changes from carleson
- **liftIco_coe_apply_of_periodic**
- `(a : 𝕜)` => `{a : 𝕜}` (to comply with already-present variables)
- **liftIoc_coe_apply_of_periodic**, **liftIco_coe_apply_of_periodic**
- `(x : 𝕜)` => `{x : 𝕜}` (to look like surrounding lemmas)
- **liftIco_coe_apply_of_periodic**, **liftIoc_coe_apply_of_periodic**
- refactor
- **liftIco_eq_liftIco**, **liftIoc_eq_liftIoc**, **liftIco_eq_liftIoc**
- `(a' : 𝕜)` => `{a': k}` (for consistency with the existing argument `{a : 𝕜}`)
### Note
There is a comment in the Carleson file suggesting renaming `liftIco_coe_apply_of_periodic`, `liftIoc_coe_apply_of_periodic`, `liftIco_coe_apply`, and `liftIoc_coe_apply` together ([here](https://github.com/fpvandoorn/carleson/blob/master/Carleson/ToMathlib/Topology/Instances/AddCircle/Defs.lean#L27)), but the intended names are not specified. In my mind the names are already fine, so I didn't change them. |
carleson
t-topology
|
34/0 |
Mathlib/Topology/Instances/AddCircle/Defs.lean |
1 |
4 |
['github-actions', 'lakesare', 'mathlib-bors'] |
nobody |
3-5007 3 days ago |
29-17903 29 days ago |
29-18159 29 days |
| 41068 |
joelriou author:joelriou |
feat(CategoryTheory/Presentable): comma categories are `κ`-accessible |
This is one of the main technical results about accessible categories.
---
- [x] depends on: #42762
- [x] depends on: #41181
- [x] depends on: #41182
- [x] depends on: #41183
- [x] depends on: #41184
- [x] depends on: #41187
- [x] depends on: #41190
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t-category-theory
maintainer-merge
|
460/0 |
Mathlib.lean,Mathlib/CategoryTheory/Presentable/Comma.lean |
2 |
15 |
['dagurtomas', 'github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
3-4902 3 days ago |
5-28451 5 days ago |
5-49704 5 days |
| 43055 |
SnirBroshi author:SnirBroshi |
feat(SimpleGraph/Connectivity/Connected): deleting a non-bridge edge preserves reachability |
This generalizes an existing theorem about `Connected` to `Preconnected` and `Reachable`.
---
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|
t-combinatorics |
22/19 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean |
2 |
1 |
['github-actions'] |
nobody |
3-3926 3 days ago |
3-81981 3 days ago |
3-82336 3 days |
| 43075 |
SnirBroshi author:SnirBroshi |
chore(Order/Zorn): `to_dual` |
---
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|
t-order |
5/0 |
Mathlib/Order/Zorn.lean |
1 |
1 |
['github-actions'] |
nobody |
2-81574 2 days ago |
2-83853 2 days ago |
2-83840 2 days |
| 41956 |
mckoen author:mckoen |
feat(CategoryTheory/Quotient): the quotient category is monoidal |
If `r : HomRel C` is a congruence on a (braided, symmetric) monoidal (resp. preadditive, linear) category `C` which satisfies certain compatibilities with left and right whiskering (resp. addition/scalar multiplication), then `Quotient r` is also (braided, symmetric) monoidal (resp. preadditive, linear).
---
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|
t-category-theory |
237/0 |
Mathlib.lean,Mathlib/CategoryTheory/Quotient/Monoidal.lean |
2 |
10 |
['dagurtomas', 'github-actions', 'joelriou', 'mckoen'] |
nobody |
2-80558 2 days ago |
12-83160 12 days ago |
34-12679 34 days |
| 42571 |
joelriou author:joelriou |
feat(AlgebraicTopology/Simplex): edges of a subcomplex |
---
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|
t-algebraic-topology |
35/0 |
Mathlib/AlgebraicTopology/SimplicialSet/CompStruct.lean |
1 |
2 |
['github-actions', 'joelriou'] |
nobody |
2-80557 2 days ago |
18-43972 18 days ago |
18-44099 18 days |
| 42694 |
Brian-Nugent author:Brian-Nugent |
chore: remove `CommRingCat.of` in AlgebraicGeometry\Modules\Tilde.lean |
A number of the definitions in `AlgebraicGeometry\Modules\Tilde.lean` currently have `CommRingCat.of R` even though `R` is already of type `CommRingCat`. This PR removes these.
---
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|
t-algebraic-geometry |
4/4 |
Mathlib/AlgebraicGeometry/Modules/Tilde.lean |
1 |
1 |
['github-actions'] |
nobody |
2-80557 2 days ago |
14-17900 14 days ago |
14-17887 14 days |
| 43072 |
JadAbouHawili author:JadAbouHawili |
feat(Combinatorics/SimpleGraph): independence number of cycleGraph of order 1 is 1 |
---
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|
t-combinatorics
new-contributor
|
19/0 |
Mathlib/Combinatorics/SimpleGraph/CycleGraph.lean |
1 |
3 |
['SnirBroshi', 'github-actions'] |
nobody |
2-71515 2 days ago |
3-17008 3 days ago |
3-17201 3 days |
| 42931 |
yui9696 author:yui9696 |
feat(Analysis/Matrix): simultaneous diagonalization of two real quadratic forms |
Adds the simultaneous diagonalization theorem for two real quadratic forms, one of which is positive definite:
if `A : Matrix n n ℝ` is positive definite and `B : Matrix n n ℝ` is symmetric, then there is an invertible `P` with `Pᵀ * A * P = 1` and `Pᵀ * B * P` diagonal.
This is the entry "simultaneous diagonalization of two real quadratic forms" from the [missing undergraduate mathematics list](https://leanprover-community.github.io/undergrad_todo.html) (Bilinear and quadratic forms).
### Contents
* `Matrix.PosDef.exists_simultaneous_diagonalization` — the matrix statement above.
* `Matrix.PosDef.exists_simultaneous_diagonalization_quadratic` — the same fact read off on the quadratic forms themselves: one invertible change of variables takes the form of `A` to `∑ xᵢ ^ 2` and the form of `B` to `∑ dᵢ * xᵢ ^ 2`. This is the phrasing the undergraduate list actually asks for, so it seemed worth stating explicitly rather than leaving to the reader.
* `Matrix.PosDef.exists_simultaneous_diagonalization_of_posDef` — when `B` is positive definite as well, the diagonal entries are positive.
### Implementation
Conjugating by the inverse of `CFC.sqrt A` turns `A` into the identity; the congruence of `B` is then symmetric, so `Matrix.IsHermitian.spectral_theorem` diagonalizes it and the two changes of basis compose.
A note on the history of this branch, in case a reviewer reads the commits: the first version went through the LDL decomposition, because I had convinced myself Mathlib no longer had a square root for positive semidefinite matrices. That was simply wrong — `CFC.sqrt` applies to matrices, as `Mathlib/Analysis/Matrix/Order.lean` already uses. Redoing it that way removed the `LinearOrder`, `WellFoundedLT` and `LocallyFiniteOrderBot` hypotheses that LDL imposed on the index type, so the statement is now proved for an arbitrary `Fintype` with decidable equality.
This is my first Mathlib contribution, so I would be glad to hear if the placement or naming should be different. Two specific questions:
* Would a `QuadraticForm` / `LinearMap.BilinForm` statement be preferred to the `dotProduct` phrasing used in the `_quadratic` version?
* Is `∃ d, _ = diagonal d` the right conclusion, or would `Matrix.IsDiag` be more idiomatic here?
### Use of AI
Per the [contribution guidelines](https://leanprover-community.github.io/contribute/index.html), I am disclosing my use of AI on this PR.
**Tool:** Claude (Anthropic), used through Claude Code.
**How I used it:** I used it to draft and iterate on the Lean proofs in this file, to search Mathlib for the relevant existing lemmas, and to carry out the rewrite from the first LDL-based version to the `CFC.sqrt` version described above. I have read and checked every declaration in the file myself, and I can justify the statements, the proof design and the placement without AI assistance.
A substantial part of the code was AI-drafted, so I am adding the `LLM-generated` label.
---
[](https://gitpod.io/#https://github.com/leanprover-community/mathlib4)
|
t-analysis
new-contributor
LLM-generated
|
141/0 |
Mathlib.lean,Mathlib/Analysis/Matrix/SimultaneousDiagonalization.lean |
2 |
8 |
['github-actions', 'themathqueen', 'vlad902', 'yui9696'] |
nobody |
2-69560 2 days ago |
2-69981 2 days ago |
3-806 3 days |
| 42968 |
j-loreaux author:j-loreaux |
feat(Analysis/Calculus): derivatives of parametric circle integrals |
This PR adds theorems computing the derivative of parametric circle integrals. These are analogues of the same theorems for interval integrals, and they are proven by reducing to those.
---
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|
t-analysis |
167/0 |
Mathlib.lean,Mathlib/Analysis/Calculus/ParametricCircleIntegral.lean,Mathlib/Analysis/SpecialFunctions/Complex/CircleMap.lean |
3 |
5 |
['github-actions', 'j-loreaux', 'kebekus'] |
nobody |
2-65745 2 days ago |
6-75298 6 days ago |
6-75285 6 days |
| 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 |
2-64250 2 days ago |
26-58776 26 days ago |
26-58815 26 days |
| 43019 |
tb65536 author:tb65536 |
refactor(Analysis/Normed/Unbundled/SpectralNorm): extract, generalize, and golf `algNormFromConst` |
This PR extracts `algNormFromConst` to a separate file so that it can be used in a non-archimedean context.
---
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[](https://gitpod.io/from-referrer/)
|
t-analysis |
26/12 |
Mathlib/Analysis/Normed/Unbundled/AlgebraNorm.lean,Mathlib/Analysis/Normed/Unbundled/RingSeminorm.lean,Mathlib/Analysis/Normed/Unbundled/SeminormFromConst.lean,Mathlib/Analysis/Normed/Unbundled/SpectralNorm.lean |
4 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
2-57887 2 days ago |
5-4395 5 days ago |
5-4383 5 days |
| 43034 |
bocowgill author:bocowgill |
feat(Data/Nat/MaxPrimeFac): add greatest prime factor |
## Summary
This PR adds a computable greatest-prime-factor operation for natural numbers, `Nat.maxPrimeFac`, together with its basic API. It returns `0` at `0`, `1` at `1`, and the greatest prime factor for `n > 1`.
This work is adapted from [Formal Conjectures PR #4817](https://github.com/google-deepmind/formal-conjectures/pull/4817), where Yael Dillies [reviewed the implementation and suggested upstreaming it to mathlib](https://github.com/google-deepmind/formal-conjectures/pull/4817#pullrequestreview-4995500952).
---
## Verification
Verification passed for the changed module and tests, `lake exe mk_all`, the style and declaration linters, and `git diff --check`. Both declared imports were confirmed necessary by removing each in turn.
## AI assistance
I used OpenAI Codex while developing the original Formal Conjectures implementation and this mathlib port. Codex assisted with searching the existing API, generating and editing portions of the Lean proofs, adapting imports and documentation, separating the computational tests, replacing deprecated API usage, diagnosing elaboration errors, and running build, lint, and diff checks.
I reviewed every submitted declaration and understand the definitions, proofs, design choices, and attributes in this PR. I can explain and justify them independently.
The original Formal Conjectures implementation contained a substantial amount of LLM-generated code. This PR therefore carries the `LLM-generated` label. |
new-contributor
t-data
LLM-generated
maintainer-merge
|
158/0 |
Mathlib.lean,Mathlib/Data/Nat/MaxPrimeFac.lean,MathlibTest/MaxPrimeFac.lean |
3 |
81 |
['SnirBroshi', 'YaelDillies', 'bocowgill', 'github-actions'] |
nobody |
2-53727 2 days ago |
2-57468 2 days ago |
4-53095 4 days |
| 42998 |
WenrongZou author:WenrongZou |
feat(Padics): add an instance `IsValuativeTopology ℚ_[p]` |
In this PR, we prove an instance `IsValuativeTopology ℚ_[p]`. Then we have the instance `IsNonarchimedeanLocalField ℚ_[p]`.
---
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|
t-number-theory
large-import
|
35/1 |
Mathlib/NumberTheory/Padics/PadicNumbers.lean,Mathlib/NumberTheory/Padics/ValuativeRel.lean |
2 |
2 |
['github-actions', 'pechersky'] |
nobody |
2-53291 2 days ago |
5-56114 5 days ago |
5-56101 5 days |
| 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
|
|
114/0 |
Mathlib.lean,Mathlib/Data/Finset/Sort.lean,Mathlib/LinearAlgebra/ExteriorPower/Generators.lean |
3 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
2-52078 2 days ago |
2-54527 2 days ago |
2-54631 2 days |
| 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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|
t-euclidean-geometry |
187/0 |
Mathlib/Geometry/Euclidean/Angle/Incenter.lean |
1 |
23 |
['YaelDillies', 'felixpernegger', 'github-actions', 'jsm28', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'peakpoint'] |
nobody |
2-48869 2 days ago |
4-19365 4 days ago |
150-80804 150 days |
| 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$ |
53/1 |
Mathlib/Algebra/QuadraticAlgebra/Basic.lean,Mathlib/Algebra/QuadraticAlgebra/Discriminant.lean |
2 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
2-48860 2 days ago |
2-49717 2 days ago |
4-60817 4 days |
| 42608 |
Deicyde author:Deicyde |
doc: add wikidata attributes |
This PR adds a batch of 10 `@[wikidata]` attributes.
Claude helped generate the list of crossrefs (by scanning Wikidata + Mathlib). Comments are generated by [crossref-report](https://github.com/jcommelin/mathlib-crossref-report) and Wikilean.
See https://wikilean.jackmccarthy.org/review?pr=42608 for reviewer UI.
---
|
LLM-generated |
17/3 |
Mathlib/Analysis/Convex/Segment.lean,Mathlib/Analysis/Convex/SimplicialComplex/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Subgraph.lean,Mathlib/Data/Matrix/Diagonal.lean,Mathlib/Data/Set/Defs.lean,Mathlib/Order/Defs/PartialOrder.lean,Mathlib/RingTheory/MvPolynomial/Homogeneous.lean,Mathlib/Topology/Constructions.lean |
9 |
18 |
['Deicyde', 'SnirBroshi', 'github-actions'] |
nobody |
2-48461 2 days ago |
16-43490 16 days ago |
16-43477 16 days |
| 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 |
2-47925 2 days ago |
2-66169 2 days ago |
2-66156 2 days |
| 41194 |
RemyDegenne author:RemyDegenne |
feat: define `riskIncrease` (statistical information) |
This PR adds a measure of the information in a statistical experiment: the increase of risk that follows from discarding the result of the experiment.
---
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|
t-measure-probability
maintainer-merge
|
139/0 |
Mathlib.lean,Mathlib/Probability/Decision/Risk/RiskIncrease.lean,docs/references.bib |
3 |
5 |
['EtienneC30', 'github-actions'] |
EtienneC30 assignee:EtienneC30 |
2-44360 2 days ago |
2-44955 2 days ago |
39-31483 39 days |
| 42774 |
gasparattila author:gasparattila |
chore(Topology/MetricSpace/Closeds): rename lemmas about `MetricSpace (NonemptyCompacts α)` |
These lemmas are moved from the `Metric` namespace to `TopologicalSpace.NonemptyCompacts`.
---
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t-topology |
21/15 |
Mathlib/Topology/MetricSpace/Closeds.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
2-43760 2 days ago |
2-44412 2 days ago |
9-70881 9 days |
| 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
|
13/3 |
Mathlib/Combinatorics/SimpleGraph/Connectivity/EdgeConnectivity.lean |
1 |
32 |
['JadAbouHawili', 'SnirBroshi', 'github-actions'] |
nobody |
2-42739 2 days ago |
6-54792 6 days ago |
10-11480 10 days |
| 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 |
2-38388 2 days ago |
2-40329 2 days ago |
4-56940 4 days |
| 41808 |
JX-Mo author:JX-Mo |
refactor(RepresentationTheory): add API lemmas in Representation.induced for making IndV.mk a def |
The current `IndV.mk` is an abbrev and `ind` has an @[simp] lemma `ind_apply`, so `simp` would expose the implementation and unfold the simple representation theoretic expressions into nasty linear algebra compounds consisting of MonoidAlgebra.single/TensorProduct/Coinvariant/.lift/.mk. The purpose of this PR is to seal `IndV.mk` and the old `ind_apply` off so that we can use simpler API lemmas and say goodbye to 20+ lines goals in the InfoView.
We address the issue by making `IndV.mk` a def and adding a new core def`IndV.lift`:
1) Making `IndV.mk` a def will allow the desired API lemmas `IndV.mk_map_mul` `IndV.mk_map_inv_mul` `IndV.mk_map_mem_eq` `IndV.mk_map_inv_eq` to have the desired @[simp] behaviour (previously simp would unfold `IndV.mk`, so @[simp] would not invoke these lemmas). We also add a useful `IndV.induction_on` lemma for reducing Prop to elementary generators and addition.
2) `IndV.lift`, which is a def, gives a way to construct a linear map from a family of linear maps on elementary generators. It unifies the previous constructions in `ind` `indMap` `indResHomEquiv` and `coinvariantsTensorInd`. Moreover, it turns out a single @[simp] lemma `IndV.lift_apply_IndVMk` is good enough to replace a whole system of linear algebra simp lemmas, while previously we had the annoying @[simps] above `ind` unfolding several linear algebra layers at once which brings big trouble if simp does not close the goal.
3) The new `ind` is an easy def building upon `IndV.lift` and the old confusing `ind_apply` is replaced by a clean simp computation lemma `ind_apply_mk`. Moreover, `indMap` becomes an abbrev.
As an immediate payoff, the definitions and proofs around `ind`, `indResHomEquiv` and `coinvariantTensorInd` become cleaner and the whole file complies 20% faster (6.6s to 5.4s on my computer as well as radar), despite the refactored code being longer. |
t-algebra
new-contributor
label:t-algebra$ |
102/59 |
Mathlib/RepresentationTheory/FiniteIndex.lean,Mathlib/RepresentationTheory/Induced.lean |
2 |
5 |
['JX-Mo', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts'] |
nobody |
2-37069 2 days ago |
15-42178 15 days ago |
41-31124 41 days |
| 40679 |
lua-vr author:lua-vr |
feat(Tactic): setm tactic |
The `setm` tactic matches a pattern containing named holes to the type of a target, and creates local declarations for the hole names whose values are the assigned expressions. By default, the target is the goal, but it can be selected to be a local declaration via the `using` syntax. Optionally, with the syntax `at loc`, it also rewrites at locations `loc` to replace the occurrences of the matched expressions with the newly-introduced local declarations.
---
This is a new version of #7890, inspired by @kmill's implementation in the Zulip [topic](https://leanprover.zulipchat.com/#narrow/channel/239415-metaprogramming-.2F-tactics/topic/Help.20with.20writing.20tactic.20.60setm.60/with/398226229). I tried to take into account the very helpful discussion there.
Since this is getting reviewed in the Meta Café, let's write a bit about it:
The first problem is that we would like to use named holes of the form `?abc` in the `setm` pattern syntax, but the elaborator for those synthetic holes will either reuse a metavariable that has the same user name, or create a metavariable of synthetic opaque type.
The first is undesirable because sometimes goal metavariables have common user names like `a` or `b`, which could conflict with names in the pattern and cause a lot of confusion.
The second is also undesirable for `setm` because synthetic opaque metavariables are never assigned by `isDefEq` (see [manual](https://leanprover-community.github.io/mathlib4_docs/Lean/MetavarContext.html)). This is good in some places such as `refine`, where we don't want Lean to be eager and solve any explicitly marked `?_` hole instead of creating a goal, but for our purposes we want the opposite.
So, the first step is to traverse the syntax of the `setm` pattern and create a new local declaration for each unique hole name in the pattern, each assigned to a fresh metavariable of natural kind. The declaration `FVarId`s are also collected in a `Array (Name × FVarId)`. The syntax of the holes is then replaced with the identifiers for the local declaration names.
Now, the second step is to elaborate the pattern in the context containing the new local declarations and unify it with the target. Since the pattern's elaborated expression already uses the `FVar`s by the previous replacement, we also replace the target with the unified expression, so that the occurrences there are "replaced" as well.
Finally, if specified, we act at the `at loc` by simply rewriting there with the equation for each declaration. This is not strictly necessary for the target, as it has been replaced in the previous step.
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t-meta |
502/0 |
Mathlib.lean,Mathlib/Lean/Elab/Tactic/Basic.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Common.lean,Mathlib/Tactic/Setm.lean,MathlibTest/Tactic/Setm.lean |
6 |
78 |
['SnirBroshi', 'Vierkantor', 'github-actions', 'lua-vr', 'thorimur'] |
Vierkantor and thorimur assignee:Vierkantor assignee:thorimur |
2-29511 2 days ago |
2-34367 2 days ago |
29-74289 29 days |
| 43078 |
Parcly-Taxel author:Parcly-Taxel |
refactor: `Quaternion` as `abbrev` |
* Mark `Quaternion` as an `abbrev`. Cf. [#mathlib4 > Transparency problem with quaternions @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Transparency.20problem.20with.20quaternions/near/618254305) and [this comment](https://github.com/leanprover-community/mathlib4/pull/43078#issuecomment-5390419713).
* The instances for `Quaternion` that used to be proved by `inferIstanceAs` are now proved by `inferInstance`.
* Remove three `set_option`s as a consequence.
* (Move `normSq_ratCast` so that it loses the assumptions `[LinearOrder R] [IsStrictOrderedRing R]`.) |
t-algebra
tech debt
label:t-algebra$ |
20/49 |
Mathlib/Algebra/DualQuaternion.lean,Mathlib/Algebra/Quaternion.lean,Mathlib/Analysis/Quaternion.lean |
3 |
23 |
['Deicyde', 'Parcly-Taxel', 'Whysoserioushah', 'github-actions', 'leanprover-radar', 'plp127', 'wwylele'] |
nobody |
2-29033 2 days ago |
2-57293 2 days ago |
2-60318 2 days |
| 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 |
2-28664 2 days ago |
14-8354 14 days ago |
14-17080 14 days |
| 41979 |
Nicola9Falciola author:Nicola9Falciola |
feat(LinearAlgebra/Matrix/GeneralLinearGroup/Card): add the theorem on the cardinality of the special linear group over a commring and over a finite field |
Add the theorems about the cardinality of the special linear group over a ring, both the exact formula and the _mul version and the version for a finite field. Building on the definition from the previous PR on the identification of `SL` with `det.ker`.
- [x] depends on: #41855
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t-algebra
new-contributor
label:t-algebra$ |
40/0 |
Mathlib/LinearAlgebra/Matrix/GeneralLinearGroup/Card.lean,Mathlib/LinearAlgebra/Matrix/GeneralLinearGroup/Defs.lean |
2 |
10 |
['CBirkbeck', 'Nicola9Falciola', 'github-actions', 'mathlib-dependent-issues'] |
nobody |
2-28339 2 days ago |
2-36602 2 days ago |
2-39014 2 days |
| 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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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 |
2-17861 2 days ago |
12-1965 12 days ago |
38-61845 38 days |
| 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 |
3 |
['Ruben-VandeVelde', 'github-actions', 'wwylele'] |
nobody |
2-17417 2 days ago |
6-5051 6 days ago |
10-30018 10 days |
| 42760 |
wwylele author:wwylele |
feat(Analysis/SpecialFunction): bessel function of the first kind |
This PR adds the bessel function of the first kind $J_a(x)$, and its some of its properties: analyticity, sign change on `a` and sign change on `x`.
It also introduces a scoped notation `J(a) x` in the namespace `Complex`. It isn't simply `J a x` because when we introduce modified bessel functions, `I a x` would collide with `Complex.I`
---
I don't want to make the PR too long, so this only has the first kind and I stopped before differential properties and those will be in future PRs
Zulip thread: [#mathlib4 > Bessel functions](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Bessel.20functions/with/611260325)
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t-analysis |
187/0 |
Mathlib.lean,Mathlib/Analysis/SpecialFunctions/Bessel.lean,Mathlib/Analysis/SpecialFunctions/RegularizedHypergeometric.lean |
3 |
24 |
['YanYablonovskiy', 'copilot-pull-request-reviewer', 'github-actions', 'mcdoll', 'wwylele'] |
mcdoll assignee:mcdoll |
2-16730 2 days ago |
2-78814 2 days ago |
12-39180 12 days |
| 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 |
2-15311 2 days ago |
23-19826 23 days ago |
35-62996 35 days |
| 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
|
112/53 |
Mathlib/Analysis/Matrix/Normed.lean,Mathlib/Analysis/Normed/Lp/ProdLp.lean,Mathlib/Condensed/Light/TopCatAdjunction.lean,Mathlib/Condensed/TopCatAdjunction.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.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 |
31 |
11 |
['DavidLedvinka', 'JovanGerb', 'gasparattila', 'github-actions', 'j-loreaux', 'lecopivo', 'mathlib-merge-conflicts'] |
nobody |
2-14876 2 days ago |
2-41994 2 days ago |
6-4466 6 days |
| 40344 |
FMLJohn author:FMLJohn |
feat(RingTheory/Adjoin/Polynomial/Basic): `Algebra.adjoin_mem_exists_aeval'` and `Algebra.adjoin_eq_exists_aeval'` |
In this pull request, I have proved the following result:
Suppose `R` and `A` are commutative semirings with `Algebra R A`, `S` is a subset of `A`, `a` is an element of `A` that belongs to `adjoin R S`, and `f : σ → A` satisfies `S ⊆ Set.range f`, then there exists a multivariate polynomial `p : MvPolynomial σ R` such that `p.aeval f = a`.
---
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t-ring-theory |
16/0 |
Mathlib/RingTheory/Adjoin/Polynomial/Basic.lean |
1 |
5 |
['github-actions', 'plp127'] |
mattrobball assignee:mattrobball |
2-14746 2 days ago |
79-15111 79 days ago |
79-35056 79 days |
| 39368 |
gasparattila author:gasparattila |
feat: homogenization of an affine space |
---
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* Alternative to #39431
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
408/0 |
Mathlib.lean,Mathlib/LinearAlgebra/AffineSpace/Homogenization.lean,docs/references.bib |
3 |
27 |
['eric-wieser', 'gasparattila', 'github-actions', 'themathqueen'] |
YaelDillies assignee:YaelDillies |
2-14339 2 days ago |
64-19108 64 days ago |
103-49486 103 days |
| 43038 |
plp127 author:plp127 |
feat: `Dyadic` is an ordered ring |
Prove `Dyadic` is a linearly ordered ring, providing instances for `LinearOrder`, `CommRing`, and `IsStrictOrderedRing`.
---
[From CGT](https://github.com/vihdzp/combinatorial-games/blob/99a469a2e02fd9fab9a717efe27f7fc84b880bbb/CombinatorialGames/Mathlib/Dyadic.lean).
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|
t-data |
111/0 |
Mathlib.lean,Mathlib/Data/Dyadic/OrderedRing.lean |
2 |
4 |
['ADedecker', 'github-actions', 'plp127'] |
nobody |
2-13474 2 days ago |
2-13474 2 days ago |
4-15226 4 days |
| 43056 |
plp127 author:plp127 |
chore(Data/PFunctor): fix defeq abuse in `PFunctor.Obj` |
Fix defeq abuse with `PFunctor.Obj` by using explicit constructors and destructors.
---
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|
tech debt
t-data
|
185/208 |
Mathlib/Control/Functor.lean,Mathlib/Data/PFunctor/Univariate/Basic.lean,Mathlib/Data/PFunctor/Univariate/M.lean,Mathlib/Data/QPF/Univariate/Basic.lean |
4 |
1 |
['github-actions'] |
nobody |
2-11819 2 days ago |
3-79420 3 days ago |
3-82446 3 days |
| 41052 |
hawkrobe author:hawkrobe |
refactor(RingTheory/HopfAlgebra): relocate `ofSurjective` |
---
I wasn't happy with the `HopfAlgebra.ofSurjective` proof in #39790. This PR attempts to refactor by extracting some of the pieces it relies on in more reusable form (e.g. bifunctoriality) and moving it out of `Quotient.lean`.
Also, `convOne` only uses the counit so i moved it up to the `[CoalgebraStruct R C]` section to match `convMul` (so `convOne_comp_coalgHom` could be the same generality as `convMul_comp_coalgHom_distrib`.)
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
|
111/65 |
Mathlib/RingTheory/Bialgebra/Convolution.lean,Mathlib/RingTheory/Coalgebra/Convolution.lean,Mathlib/RingTheory/HopfAlgebra/Convolution.lean,Mathlib/RingTheory/HopfAlgebra/Quotient.lean |
4 |
11 |
['eric-wieser', 'github-actions', 'hawkrobe'] |
nobody |
2-11810 2 days ago |
2-12656 2 days ago |
61-23832 61 days |
| 41134 |
martinwintermath author:martinwintermath |
feat(Algebra/Order/Nonneg): add `Nonneg` for nonnegative subtype |
Currently the nonnegative subtype is denoted `{x : R // 0 ≤ x}` which has a tendency to be used inconsistently and does not print well. This PR introduces
```lean4
/- The subtype of nonnegative elements. -/
abbrev Nonneg (α : Type*) [Zero α] [LE α] := { x : α // 0 ≤ x }
```
and replaces `{x : R // 0 ≤ x}` by `Nonneg R` throughout mathlib.
---
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|
|
111/107 |
Mathlib/Algebra/Order/Archimedean/Basic.lean,Mathlib/Algebra/Order/Module/Defs.lean,Mathlib/Algebra/Order/Nonneg/Basic.lean,Mathlib/Algebra/Order/Nonneg/Field.lean,Mathlib/Algebra/Order/Nonneg/Floor.lean,Mathlib/Algebra/Order/Nonneg/Module.lean,Mathlib/Algebra/Order/Nonneg/Ring.lean,Mathlib/Analysis/Convex/Cone/Basic.lean,Mathlib/Analysis/Convex/Segment.lean,Mathlib/Data/NNReal/Defs.lean,Mathlib/Geometry/Convex/Cone/Dual.lean,Mathlib/Geometry/Convex/Cone/Pointed.lean,Mathlib/MeasureTheory/Function/SimpleFuncDenseLp.lean,Mathlib/RingTheory/Finiteness/Basic.lean,Mathlib/Topology/Algebra/Field.lean,Mathlib/Topology/Algebra/Order/Module.lean |
16 |
4 |
['SnirBroshi', 'github-actions', 'martinwintermath', 'mathlib-merge-conflicts'] |
nobody |
2-8639 2 days ago |
2-10981 2 days ago |
59-378 59 days |
| 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 |
2-2094 2 days ago |
4-71005 4 days ago |
4-72366 4 days |
| 35753 |
Vilin97 author:Vilin97 |
feat(Topology/Algebra/Order): regular grid helpers and piecewise linear interpolation |
Make API for piecewise linear interpolation on regular grids. I need these to for ODE time-stepping methods, like forward Euler, and later Runge–Kutta methods.
Follow-up PR: #35755 (forward Euler method convergence).
I don't know if these numerical analysis ODE-solving methods even belong in mathlib. If someone could advise me on it, I would appreciate it.
---
The initial proof was produced by [Aristotle](https://aristotle.harmonic.fun). The code was iteratively refined (factoring out lemmas, golfing, simplifying proofs) using Claude Code.
- [ ] depends on: #38091 |
t-topology
new-contributor
LLM-generated
maintainer-merge
|
205/0 |
Mathlib.lean,Mathlib/Topology/Algebra/Order/PiecewiseLinear.lean |
2 |
66 |
['Vilin97', 'YanYablonovskiy', 'adomani', 'botbaki-review', 'copilot-pull-request-reviewer', 'dagurtomas', 'eric-wieser', 'github-actions', 'grunweg', 'j-loreaux', 'mathlib-dependent-issues', 'vlad902', 'wwylele'] |
nobody |
1-85144 1 day ago |
1-85310 1 day ago |
141-6627 141 days |
| 42042 |
ijtejeda author:ijtejeda |
feat(MeasureTheory/OuterMeasure): more API for outer measures |
Previously some desired basic API for outer measures regarding regularity notions was missing. Even though some of these notions were available in `MeasureTheory.Measure.Regular` for measures, these do not automatically translate to general outer measure conditions.
Add the following notions of regularity for outer measures: regular, Borel regular, Radon; as well as some basic lemmas about them and the definition of support of an outer measure.
AI usage: we use Claude to mimic proofs from the textbooks we use and partially assist some definitions and lemma statements.
References:
1. P. Mattila - Geometry of Sets and Measures in Euclidean Spaces
2. V.I. Bogachev - Measure Theory v.1
---
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|
LLM-generated
new-contributor
t-measure-probability
|
10/0 |
Mathlib/MeasureTheory/OuterMeasure/Caratheodory.lean |
1 |
11 |
['CoolRmal', 'github-actions', 'ijtejeda', 'tdwag123'] |
CoolRmal and RemyDegenne assignee:RemyDegenne assignee:CoolRmal |
1-84176 1 day ago |
1-84176 1 day ago |
22-1168 22 days |
| 42913 |
alreadydone author:alreadydone |
doc(AlgebraicGeometry): fix docstring about finite presentation |
Align with the [Stacks Project definition](https://stacks.math.columbia.edu/tag/01TP) as well as Definition 10.34 of Görtz–Wedhorn.
---
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|
t-algebraic-geometry |
3/3 |
Mathlib/AlgebraicGeometry/Morphisms/FinitePresentation.lean |
1 |
1 |
['github-actions'] |
dagurtomas assignee:dagurtomas |
1-81457 1 day ago |
8-18604 8 days ago |
8-18661 8 days |
| 42967 |
yuanyi-350 author:yuanyi-350 |
refactor(RingTheory/Localization): restore IsLocalization.surj' |
|
t-algebraic-geometry
easy
|
6/5 |
Mathlib/AlgebraicGeometry/AffineScheme.lean,Mathlib/RingTheory/Localization/InvSubmonoid.lean |
2 |
1 |
['github-actions'] |
dagurtomas assignee:dagurtomas |
1-81455 1 day ago |
6-75358 6 days ago |
6-75345 6 days |
| 42778 |
Brian-Nugent author:Brian-Nugent |
feat(AlgebraicGeometry): generalize `isField_of_universallyClosed` to only assume reduced and connected |
---
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[](https://gitpod.io/from-referrer/)
|
t-algebraic-geometry |
41/3 |
Mathlib/AlgebraicGeometry/Morphisms/Proper.lean |
1 |
2 |
['github-actions'] |
nobody |
1-80556 1 day ago |
12-17867 12 days ago |
12-17854 12 days |
| 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 |
8 |
['Sfgangloff', 'github-actions', 'mathlib-merge-conflicts', 'sgouezel'] |
sgouezel assignee:sgouezel |
1-79164 1 day ago |
1-79635 1 day ago |
24-19078 24 days |
| 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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|
t-ring-theory |
111/20 |
Mathlib/Algebra/Polynomial/Reverse.lean,Mathlib/RingTheory/Henselian.lean |
2 |
2 |
['github-actions'] |
nobody |
1-71899 1 day ago |
2-55446 2 days ago |
2-55433 2 days |
| 41964 |
roos-j author:roos-j |
feat(MeasureTheory/Integral): second mean value theorem for integration |
Add second mean value theorem for integration, including an inequality variant for Banach-space valued functions.
---
This should be of general enough interest to need no justification, but as one specific application I need this as a prerequisite for appropriately generalizing the first-order case in https://github.com/leanprover-community/mathlib4/pull/39406
Some explanatory notes about the choices made. These may not belong into the documentation but we can add any subset of them if desired:
- Unlike the first mean value theorem, this one is specific to `intervalIntegral` and does not have the same natural generalization to integrals on connected sets.
- There are various formulations in the literature. In particular, there is a version featuring a one-sided limit of `f` at the endpoint on the right-hand side instead, and there is also a version without the non-negativity requirement which instead has two terms on the right-hand side. Each variant has their slight pros and cons. The present formulation is one of these and was chosen simply because it is the one most convenient for my purpose. Others can be added in the future if people need/want them.
- As is well-known, for vector-valued functions the identity generally fails, but one can show an inequality. I only need this for the complex-valued case, but I generalized it to functions taking values in a real Banach space. The argument uses the Hahn-Banach theorem and must be well-known, but I don't have a reference for it. There is of course also a version for the first mean value theorem, which is not part of this PR.
[](https://gitpod.io/from-referrer/)
|
t-analysis
t-measure-probability
|
208/5 |
Mathlib/MeasureTheory/Integral/IntervalIntegral/MeanValue.lean,docs/references.bib |
2 |
7 |
['github-actions', 'roos-j', 'sgouezel'] |
sgouezel assignee:sgouezel |
1-71688 1 day ago |
1-71824 1 day ago |
33-49572 33 days |
| 43096 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Clique): clique numbers of top and bot |
Some of these hold more generally under `[Finite G.edgeSet]` rather than `[Finite α]`, but we need better `Sym2` cardinality theorems to show it.
This is especially obvious for `cliqueNum_bot`, since it shouldn't need any finiteness assumptions (it always has finitely many edges).
---
The same proofs should work once `finite_cliqueNum_bddAbove` is generalized, though `cliqueNum_eq_natCard` will need a little help:
```lean
nontriviality α
have : Finite α := Nat.finite_of_card_ne_zero <| h ▸ G.cliqueNum_ne_zero_of_finite_edgeSet
```
I think #36442 should help but I'm not exactly sure how. It's not super difficult to generalize the `BddAbove` result for finite edges (e.g. I have a few `Sym2` theorems that bound it by `G.edgeSet.ncard + 1`), but we should find the right theorems rather than go straight at it.
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|
t-combinatorics |
31/3 |
Mathlib/Combinatorics/SimpleGraph/Clique.lean |
1 |
1 |
['github-actions'] |
nobody |
1-64404 1 day ago |
1-65117 1 day ago |
1-66792 1 day |
| 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 |
23/3 |
Mathlib/Combinatorics/SimpleGraph/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean,Mathlib/Combinatorics/SimpleGraph/Subgraph.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Subwalks.lean |
4 |
1 |
['github-actions'] |
nobody |
1-60264 1 day ago |
1-60921 1 day ago |
1-60908 1 day |
| 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.
---
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t-analysis |
66/14 |
Mathlib/Analysis/Complex/CauchyIntegral.lean |
1 |
1 |
['github-actions'] |
nobody |
1-58725 1 day ago |
1-59395 1 day ago |
1-59382 1 day |
| 43101 |
SnirBroshi author:SnirBroshi |
chore(Order/ConditionallyCompleteLattice/Basic): use `to_dual` for `WellFoundedLT` theorems |
The double primed `le_csInf_iff''` lemma for `ConditionallyCompleteLinearOrderBot` took the place of the single primed `le_csInf_iff'` which was previously a `WellFoundedLT` lemma.
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t-order |
11/2 |
Mathlib/Order/ConditionallyCompleteLattice/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
1-56815 1 day ago |
1-59332 1 day ago |
1-59319 1 day |
| 42894 |
joelriou author:joelriou |
feat(RepresentationTheory/Homological): generalization of the vanishing of inflation/restriction |
We show that the map in group cohomology induced by a trivial morphism of groups vanishes in nonzero degrees (because it factors through the cohomology of the trivial group). This allows to generalize the "inflation/restriction" short complex to arbitrary nonzero degrees.
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t-category-theory
t-algebra
tech debt
label:t-algebra$ |
31/21 |
Mathlib/RepresentationTheory/Homological/GroupCohomology/Functoriality.lean |
1 |
4 |
['Whysoserioushah', 'github-actions', 'joelriou'] |
nobody |
1-54710 1 day ago |
8-42225 8 days ago |
8-42324 8 days |
| 42594 |
harahu author:harahu |
chore(Algebra): tidy markdown headers |
This PR ensures files in `Mathlib/Algebra` have one and only one H1 header, in accordance with the style guide. It also fixes other minor formatting issues related to headers in the touched files.
The new headers that this PR introduces were authored by Claude Opus 5.
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|
t-algebra label:t-algebra$ |
31/17 |
Mathlib/Algebra/Algebra/Subalgebra/IsSimpleOrder.lean,Mathlib/Algebra/AlgebraicCard.lean,Mathlib/Algebra/Category/Grp/FiniteGrp.lean,Mathlib/Algebra/Category/Grp/ZModuleEquivalence.lean,Mathlib/Algebra/Category/ModuleCat/Adjunctions.lean,Mathlib/Algebra/CharP/Frobenius.lean,Mathlib/Algebra/Homology/DerivedCategory/Ext/Map.lean,Mathlib/Algebra/Lie/Prod.lean,Mathlib/Algebra/Module/SpanRankOperations.lean,Mathlib/Algebra/Module/StablyFree/FreeOfInvertible.lean,Mathlib/Algebra/Module/Submodule/Equiv.lean,Mathlib/Algebra/MvPolynomial/Counit.lean,Mathlib/Algebra/MvPolynomial/Expand.lean,Mathlib/Algebra/MvPolynomial/Funext.lean,Mathlib/Algebra/Order/Archimedean/Hom.lean,Mathlib/Algebra/Order/Interval/Set/Group.lean,Mathlib/Algebra/Order/Monoid/ToMulBot.lean |
17 |
1 |
['github-actions'] |
nobody |
1-54337 1 day ago |
17-11457 17 days ago |
17-11444 17 days |
| 42986 |
tb65536 author:tb65536 |
feat(Topology/Separation/Hausdorff): add `tendsto_nhds_unique_of_forall` |
This PR adds the variant `tendsto_nhds_unique_of_forall` and switches a few occurrences of `tendsto_nhds_unique` to a more appropriate variant (either `tendsto_nhds_unique_of_forall` or `tendsto_nhds_unique_of_eventuallyEq`).
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|
t-topology |
35/47 |
Counterexamples/TopologistsSineCurve.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Continuity.lean,Mathlib/Analysis/CStarAlgebra/Spectrum.lean,Mathlib/Analysis/Complex/Liouville.lean,Mathlib/Analysis/InnerProductSpace/l2Space.lean,Mathlib/Analysis/Normed/Unbundled/SeminormFromConst.lean,Mathlib/Analysis/SpecialFunctions/ArithmeticGeometricMean.lean,Mathlib/MeasureTheory/Integral/CircleAverage.lean,Mathlib/MeasureTheory/Integral/IntegralEqImproper.lean,Mathlib/MeasureTheory/Integral/SetToL1/ChangeMeasure.lean,Mathlib/MeasureTheory/Measure/Stieltjes.lean,Mathlib/Topology/Separation/Hausdorff.lean |
12 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
1-52206 1 day ago |
1-53979 1 day ago |
5-53684 5 days |
| 42020 |
kebekus author:kebekus |
feat: separation lemma of Value Distribution Theory |
Begin the proof of the "Second Main Theorem of Value Distribution Theory" by establishing the classic separation lemma. The full formalized proof, which will be PRed piece by piece, is available on the internet at https://github.com/kebekus/ProjectVD
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
|
151/0 |
Mathlib.lean,Mathlib/Analysis/Complex/ValueDistribution/SecondMainTheorem.lean,Mathlib/Data/Finset/Card.lean |
3 |
18 |
['github-actions', 'j-loreaux', 'kebekus', 'themathqueen', 'wwylele'] |
nobody |
1-52076 1 day ago |
1-55002 1 day ago |
34-31448 34 days |
| 41127 |
TJHeeringa author:TJHeeringa |
feat(Analysis/InnerProductSpace/Reproducing): add sum of two RKHS |
Add the sum of two RKHS. This space comes equipped with the norm
$$
\\|f\\|^2 = \inf \\{ \\|f_1\\| + \\|f_1\\| : f_1\in H_1, f_2\in H_2 \text{ s.t. } f(x) = f_1(x) + f_2(x) \quad \forall x\in X \\}
$$
This quotient norm is realized by defining the space as the quotient of `WithLp 2 (H × H₁)` with the kernel of the map `WithLp 2 (H × H₁) →L[𝕜] (X → V), (f,g) ↦ ↑f + ↑f` and defining the `coeCLM` of the RKHS accordingly.
---
The current PR has two implementations: `Operations` and `Operations2`. They both include the same idea but approach it differently. The former starts from the kernels and builds the sum space that way. The latter starts from the RKHSs (`H`, not `OfKernel K`) and builds the sum space that way. Having both implementations is not desirable. We need to choose one, polish that and remove the other. At this point, I think Operations2 is the better way to design this and Operations should be removed, since the proofs of the former are a lot cleaner than the latter and it doesn't require exposing the currently private `H0 K`. An aspect that should be taken into account here is that the decision here will impact the design of future operations like the spaces formed by taking Hadamard product or Kronecker products of the kernels, i.e. if we go here for the RKHSs-first approach then it is likely we end up doing that too for the other operations.
I am doubting whether `generator` and `sumSpace` are good names.
This sum of two RKHs `sumSpace` is not a direct sum or a Hilbert sum, but the sum from interpolation theory. Once that is properly implemented the construction of `sumSpace` should likely be altered accordingly.
#### AI usage:
I used AI for a previous attempt in which I defined `sumSpace` as
```lean4
abbrev sumSpace := (generator H H₁).range
```
instead of
```lean4
abbrev sumSpace := WithLp 2 (H × H₁) ⧸ (generator H H₁).ker
```
However, that lead to instance collisions.
Additionally, I used an LLM to help with the proof of `linearIsometry_surjective`.
#### Mathematical details
These can be found in e.g. theorem 5.4 of Paulsen, Vern I. and Raghupathi, Mrinal,
*An introduction to the theory of reproducing kernel Hilbert spaces*.
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|
t-analysis |
338/1 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/Reproducing.lean,Mathlib/Analysis/InnerProductSpace/Reproducing/Operations.lean,Mathlib/Analysis/InnerProductSpace/Reproducing/Operations2.lean |
4 |
20 |
['Maldooor', 'TJHeeringa', 'github-actions', 'mathlib-bors', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'themathqueen'] |
nobody |
1-51310 1 day ago |
5-62061 5 days ago |
35-84070 35 days |
| 41786 |
Nicola9Falciola author:Nicola9Falciola |
feat(LinearAlgebra/Matrix/GeneralLinearGroup/Defs): add the proof of the range of toGL to be the ker of the determinant and the induced equivalence |
Add a lemma proving that the `toGL.range ` is equal to `det.ker` and the induced equivalence between `SL` and `det.ker` .
---
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|
t-algebra
new-contributor
label:t-algebra$ |
15/0 |
Mathlib/LinearAlgebra/Matrix/GeneralLinearGroup/Defs.lean |
1 |
11 |
['Nicola9Falciola', 'github-actions', 'pepamontero'] |
nobody |
1-47423 1 day ago |
1-53259 1 day ago |
27-829 27 days |
| 42708 |
xroblot author:xroblot |
feat(Algebra/QuadraticAlgebra): classify quadratic algebras by their discriminant |
Classify `QuadraticAlgebra R a b` up to `R`-algebra isomorphism by the discriminant: when `2` is invertible they are isomorphic iff the discriminants agree up to a square unit, and over `ℤ` the discriminant is a complete invariant. Also adds the standard-form isomorphism `QuadraticAlgebra R a b ≃ₐ[R] QuadraticAlgebra R (discr a b) 0` when `2`
is invertible.
Prepared with Claude Code 🤖
---
- [x] depends on: #42206
- [x] depends on: #42751
- [x] depends on: #42951
- [x] depends on: #42975
[](https://gitpod.io/from-referrer/)
|
t-algebra
large-import
label:t-algebra$ |
81/8 |
Mathlib/Algebra/QuadraticAlgebra/Discriminant.lean |
1 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
1-46538 1 day ago |
1-47155 1 day ago |
2-48998 2 days |
| 40296 |
RemyDegenne author:RemyDegenne |
feat: define `HasCoveringExponent` |
This PR adds a definition `HasCoveringExponent`, that states that a set has a covering number that satisfies a certain bound at all scales.
---
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|
t-topology
brownian
t-measure-probability
maintainer-merge
|
85/0 |
Mathlib.lean,Mathlib/Topology/MetricSpace/CoveringExponent.lean |
2 |
8 |
['EtienneC30', 'felixpernegger', 'github-actions'] |
CoolRmal assignee:CoolRmal |
1-45632 1 day ago |
2-44726 2 days ago |
58-65974 58 days |
| 41479 |
YaelDillies author:YaelDillies |
feat(LinearAlgebra): dual of tensor is tensor of duals for finite projective modules |
Generalise this isomorphism and many similar ones from finite free to finite projective. To be able to deduce some isos from some other ones, I had to move them around in a preliminary PR. Note that #40297 made of the changes that the current PR was intending to do but not all, hence the slightly mangled diff.
Also change the defeq of `homTensorHomEquiv` so that it is *not* defeq to `homTensorHomMap` (but would be if `homTensorHomMap` became heterobasic). This makes `BilinForm.tensorDistribEquiv` defeq to `BilinForm.tensorDistrib`.
Also tag `LinearEquiv.congrRight` with `simps` to generate some required simp lemmas.
Human generated then golfed and edited with Claude Opus, then human-edited some more.
From FLT, PersistentDecomp
Co-authored-by: Edison Xie
Co-authored-by: Andrew Yang <the.erd.one@gmail.com>
Assisted-by: Claude Opus 4.8
---
This is a cleaned up version of #21829 reopened from a fork.
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|
t-algebra label:t-algebra$ |
126/95 |
Mathlib/Algebra/Module/Equiv/Basic.lean,Mathlib/LinearAlgebra/BilinearForm/TensorProduct.lean,Mathlib/LinearAlgebra/Contraction.lean,Mathlib/LinearAlgebra/TensorProduct/Map.lean,Mathlib/LinearAlgebra/Trace.lean |
5 |
17 |
['Deicyde', 'Whysoserioushah', 'YaelDillies', 'erdOne', 'github-actions', 'kbuzzard', 'mathlib-merge-conflicts', 'themathqueen'] |
nobody |
1-45380 1 day ago |
1-51096 1 day ago |
33-35663 33 days |
| 42945 |
paulcadman author:paulcadman |
feat(Tactic/ModuleNF): add module_nf, a normalization tactic for module expressions |
add `module_nf`, a normalization tactic companion to `match_scalars` and `module`. It normalizes module expressions at targeted locations or at the goal and can be used non-terminally. It reuses the `module` tactic's [`parse`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Tactic/Module.html#Mathlib.Tactic.Module.parse) function to perform normalization.
`module_nf` works under functions `≤`, conjunctions etc:
```lean4
import Mathlib.Tactic.ModuleNF
variable {R M : Type*} [CommRing R] [AddCommGroup M] [Module R M]
example (f : M → M) (a b : R) (x : M) : f (a • x + b • x) = f ((a + b) • x) := by
module_nf
example (s : Set M) (a : R) (x v w : M) (h : x + a • (v + w) ∈ s) :
x + (a • v + a • w) ∈ s := by
module_nf at h ⊢
exact h
example [Preorder M] (a b : R) (x y : M) (h : (a + b) • x ≤ y) : a • x + b • x ≤ y := by
module_nf
exact h
example (a b : R) (x y : M) (h₁ : (a + b) • x = 0) (h₂ : (a + b) • y = 0) :
(a • x + b • x = 0) ∧ (b • y + a • y = 0) := by
module_nf
exact ⟨h₁, h₂⟩
```
Contexts involving scalar towers are also supported:
```lean4
example {S : Type*} [CommRing S] [Algebra R S] [Module S M] [IsScalarTower R S M]
(a b : R) (u : S) (x y : M) (P : M → Prop) (h : P (b • x + y)) :
P (a • x + u • y + (1 - u) • y - (a - b) • x) := by
module_nf
exact h
```
A `with` form of the tactic can be used to specify a common scalar ring directly:
```lean4
example [AddCommGroup M] (x : M) (P : M → Prop) (h : P ((2 : ℤ) • x)) :
P (x + x) ∧ P ((2 : ℤ) • x) := by
module_nf with ℤ
exact ⟨h, h⟩
```
## Other changes
The module tactic's `match_scalars` preprocessing is changed to clear the `* 1` factors added by module's parser.
Non-throwing variants of `RingNF.evalExpr` and `Abel.evalExpr` are added.
---
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[](https://gitpod.io/from-referrer/) |
t-meta |
660/42 |
Mathlib.lean,Mathlib/AlgebraicGeometry/StructureSheaf.lean,Mathlib/Analysis/Calculus/UniformLimitsDeriv.lean,Mathlib/Analysis/Complex/Poisson.lean,Mathlib/Analysis/InnerProductSpace/OfNorm.lean,Mathlib/LinearAlgebra/LinearIndependent/Lemmas.lean,Mathlib/LinearAlgebra/Ray.lean,Mathlib/LinearAlgebra/RootSystem/Finite/Nondegenerate.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Module.lean,Mathlib/Tactic/ModuleNF.lean,Mathlib/Tactic/Ring/RingNF.lean,Mathlib/Util/AtLocation.lean,MathlibTest/AtLocation.lean,MathlibTest/Module/ModuleNF.lean,MathlibTest/module.lean |
16 |
26 |
['Vierkantor', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'paulcadman'] |
Vierkantor assignee:Vierkantor |
1-41435 1 day ago |
1-44435 1 day ago |
2-50843 2 days |
| 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`.
**Note**: I had to modify the order of some results in `Mathlib/Topology/Covering/Quotient.lean` to accomodate `isLocalHomeomorph_quotientMk_of_properlyDiscontinuousSMul` in a way that made sense and without repeating many variables. Adding this lemma is not absolutely necessary, but it does make it more comfortable to work with in the main file. These changes can therefore be reversed.
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 |
new-contributor
large-import
|
155/34 |
Mathlib/Geometry/Manifold/Instances/Quotient.lean,Mathlib/Topology/Covering/Quotient.lean |
2 |
49 |
['Deicyde', 'github-actions', 'grunweg', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'pepamontero', 'scholzhannah'] |
grunweg assignee:grunweg |
1-40757 1 day ago |
1-41610 1 day ago |
12-41339 12 days |
| 42542 |
tb65536 author:tb65536 |
feat(Analysis/Normed/Field/WithAbs): algebra structure on `AbsoluteValue.Completion` |
This PR defines the algebra structure on `AbsoluteValue.Completion`. This is in preparation for general ramification theory of absolute values.
---
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|
t-topology
t-ring-theory
t-algebra
label:t-algebra$ |
56/2 |
Mathlib/Analysis/Normed/Field/WithAbs.lean,Mathlib/Topology/Algebra/Ring/Basic.lean |
2 |
4 |
['github-actions', 'mathlib-merge-conflicts', 'smmercuri', 'tb65536'] |
nobody |
1-40545 1 day ago |
8-55155 8 days ago |
18-77260 18 days |
| 42211 |
seewoo5 author:seewoo5 |
feat(ModularForms): Ramanujan formula for derivatives |
...of Eisenstein series. From Sphere packing project; [original code](https://github.com/thefundamentaltheor3m/Sphere-Packing-Lean/blob/main/SpherePacking/ModularForms/RamanujanIdentities.lean) are written with Claude Opus 4.5-4.7, but golfed further with Opus 5 and Fable 5.
Some of boundedness results are generalized to limit results (e.g. `isZeroAtImInfty_normalizedDerivOfComplex` from `isBoundedAtImInfty_normalizedDerivOfComplex`, now latter is derived from former). Proofs use dimension formula for level 1 modular forms (and weight 4, 6, 8).
- [ ] depends on: #40764
---
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[](https://gitpod.io/from-referrer/)
|
t-number-theory
LLM-generated
sphere-packing
|
211/29 |
Mathlib.lean,Mathlib/NumberTheory/ModularForms/Derivative.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/E2/Summable.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/QExpansion.lean,Mathlib/NumberTheory/ModularForms/QExpansion.lean,Mathlib/NumberTheory/ModularForms/RamanujanFormula.lean |
6 |
13 |
['CBirkbeck', 'github-actions', 'loefflerd', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'seewoo5'] |
loefflerd assignee:loefflerd |
1-40044 1 day ago |
1-40044 1 day ago |
1-61863 1 day |
| 43104 |
elazarg author:elazarg |
feat(InformationTheory/KullbackLeibler): finite Kullback-Leibler divergence |
Define `klDivFin p q = ∑ i, p i * log (p i / q i)` for `p q : ι → ℝ` on a `Fintype`, and prove Gibbs' inequality for it. The weights are not assumed to be normalized: `(∑ i, p i) - (∑ i, q i) ≤ klDivFin p q` needs only nonnegativity and absolute continuity, and `0 ≤ klDivFin p q` follows whenever `∑ i, q i ≤ ∑ i, p i`.
Two supporting lemmas added to `Analysis/SpecialFunctions/Log/NegMulLog`: `Real.mul_log_div` and `Real.sub_le_mul_log_div`, a quotient form of `Real.self_sub_one_le_mul_log`.
---
Continuing #42584, another part of https://github.com/elazarg/kraft
`klDivFin` is a `Finset.sum` definition, not a specialization of `klDiv`. `klDiv` is `ℝ≥0∞`-valued and defined through `llr` and `Measure.rnDeriv`, and Mathlib currently has no formula for `Measure.rnDeriv` on a discrete space.
Even with that lemma in place, `klDivFin` is `ℝ`-valued, so it composes directly with `Finset` arithmetic in downstream code; and it requires no normalization - Gibbs' inequality here holds under `∑ i, q i ≤ ∑ i, p i`, so no probability measures are needed.
Happy to split the two `NegMulLog` lemmas into a separate PR if needed.
[](https://gitpod.io/from-referrer/)
|
t-measure-probability
new-contributor
|
104/0 |
Mathlib.lean,Mathlib/Analysis/SpecialFunctions/Log/NegMulLog.lean,Mathlib/InformationTheory/KullbackLeibler/Finite.lean |
3 |
2 |
['github-actions'] |
nobody |
1-40004 1 day ago |
1-40717 1 day ago |
1-41101 1 day |
| 41459 |
EzequielS2 author:EzequielS2 |
feat(Algebra/Group): mulOpposite equivs for submonoid and subgroup |
## Summary
Add MulOpposite monoid equivalences for submonoids and subgroups, and remove the corresponding TODOs in `Subsemiring/MulOpposite.lean`.
## Test plan
- [x] `lake build` and `lake exe runLinter` on `Mathlib.Algebra.Group.Submonoid.MulOpposite` and `Mathlib.Algebra.Group.Subgroup.MulOpposite`
|
t-algebra
new-contributor
label:t-algebra$ |
78/4 |
Mathlib/Algebra/Group/Subgroup/MulOpposite.lean,Mathlib/Algebra/Group/Submonoid/MulOpposite.lean,Mathlib/Algebra/Ring/Subsemiring/MulOpposite.lean |
3 |
12 |
['EzequielS2', 'github-actions', 'mathlib-merge-conflicts', 'themathqueen', 'wwylele'] |
nobody |
1-34816 1 day ago |
9-2342 9 days ago |
50-12947 50 days |
| 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'] |
eric-wieser assignee:eric-wieser |
1-34275 1 day ago |
1-38702 1 day ago |
78-83555 78 days |
| 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 |
9 |
['alreadydone', 'github-actions', 'plp127', 'tb65536'] |
nobody |
1-33196 1 day ago |
40-12313 40 days ago |
43-36121 43 days |
| 42973 |
gdies author:gdies |
feat(CategoryTheory/Adhesive): coslices of adhesive categories are adhesive |
---
Adding the coslice case in adhesive2004 proposition (ii):
If **C** is adhesive then so are **C**/C and C/**C** for any object C of **C**
done as a (sub)project at the Utrecht summers school 2026
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|
t-category-theory
new-contributor
|
6/4 |
Mathlib/CategoryTheory/Adhesive/Over.lean |
1 |
3 |
['github-actions', 'mathlib-bors'] |
dagurtomas assignee:dagurtomas |
1-32905 1 day ago |
5-48002 5 days ago |
6-40354 6 days |
| 41536 |
Mathias-Stout author:Mathias-Stout |
chore(Algebra): make quaternion directory |
We create separate directory for quaternions and move the two existing files into it.
This prepares a follow-up PR proving that quaternions are central simple.
Co-authored-by: Justus Springer <justusspringer@gmx.de>
---
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|
file-removed
new-contributor
|
7/7 |
Mathlib.lean,Mathlib/Algebra/DualQuaternion.lean,Mathlib/Algebra/Quaternion/Basic.lean,Mathlib/Algebra/Quaternion/Basis.lean,Mathlib/Analysis/Quaternion.lean,Mathlib/LinearAlgebra/CliffordAlgebra/Equivs.lean,MathlibTest/Quaternion.lean |
7 |
4 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
1-31790 1 day ago |
1-32499 1 day ago |
33-4977 33 days |
| 41777 |
ADedecker author:ADedecker |
chore: switch `IsQuasiInverse.of_comp_[left, right]` |
Also add a bit of doc and switch some arguments to enforce some asymmetry in the API for `IsQuasiInverse`: as a convention, we think of the first argument as a quasi-inverse to the second one, instead of the converse.
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|
t-algebra label:t-algebra$ |
40/26 |
Mathlib/Algebra/Module/LinearMap/FiniteRange.lean,Mathlib/Analysis/Normed/Operator/Fredholm/Basic.lean |
2 |
9 |
['ADedecker', 'github-actions', 'themathqueen'] |
themathqueen assignee:themathqueen |
1-30817 1 day ago |
2-42375 2 days ago |
38-29761 38 days |
| 42908 |
EtienneC30 author:EtienneC30 |
feat: add Measure.bind_comm |
This lemma is primarily intended to replace `PMF.bind_comm` in #42821.
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|
t-measure-probability |
26/0 |
Mathlib/MeasureTheory/Measure/Prod.lean |
1 |
1 |
['github-actions'] |
nobody |
1-30677 1 day ago |
8-33611 8 days ago |
8-33598 8 days |
| 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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|
large-import
t-measure-probability
|
85/0 |
Mathlib/Analysis/MeanInequalitiesPow.lean,Mathlib/MeasureTheory/Function/EssSup.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Basic.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Defs.lean,Mathlib/Order/LiminfLimsup.lean |
5 |
1 |
['github-actions'] |
nobody |
1-30659 1 day ago |
5-52963 5 days ago |
5-52950 5 days |
| 42848 |
mcdoll author:mcdoll |
chore(Analysis/LocallyConvex): add missing lemmas |
Co-authored-by: Anatole Dedecker <anatolededecker@gmail.com>
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|
t-analysis |
30/0 |
Mathlib/Analysis/LocallyConvex/WithSeminorms.lean |
1 |
2 |
['github-actions', 'themathqueen'] |
nobody |
1-29716 1 day ago |
9-81578 9 days ago |
9-81565 9 days |
| 41310 |
SnirBroshi author:SnirBroshi |
feat(Algebra/Group/Subgroup/ZPowers/Lemmas): generalize from pairs to `Finset`s |
Generalize `closure_eq_zmultiples`/`zmultiples_sup`/`zmultiples_inf` from pairs to `Finset`s. For `s : Finset ℤ`:
- `closure (s : Set ℤ) = zmultiples (s.gcd id)`
- `s.sup zmultiples = zmultiples (s.gcd id)`
- `s.inf zmultiples = zmultiples (s.lcm id)`
---
If the large imports aren't okay we could have a new `ZPowers/Finset.lean` or `ZPowers/FinsetLemmas.lean`.
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|
t-algebra
large-import
maintainer-merge
label:t-algebra$ |
28/3 |
Mathlib/Algebra/Group/Subgroup/ZPowers/Lemmas.lean |
1 |
10 |
['Ruben-VandeVelde', 'github-actions', 'j-loreaux', 'kbuzzard', 'leanprover-radar', 'mathlib-dependent-issues', 'mattrobball'] |
nobody |
1-29320 1 day ago |
49-65946 49 days ago |
49-68054 49 days |
| 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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|
t-ring-theory |
72/0 |
Mathlib.lean,Mathlib/RingTheory/RegularLocalRing/PowerSeries.lean |
2 |
6 |
['github-actions', 'mathlib-bors', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
1-27532 1 day ago |
1-27532 1 day ago |
1-27524 1 day |
| 40981 |
LLaurance author:LLaurance |
chore(Algebra/Ring/BooleanRing): replace `change` in BooleanRing.toBooleanAlgebra |
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|
t-algebra
tech debt
label:t-algebra$ |
8/11 |
Mathlib/Algebra/Ring/BooleanRing.lean |
1 |
5 |
['Multramate', 'Ruben-VandeVelde', 'Vierkantor', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
1-26237 1 day ago |
1-26237 1 day ago |
34-48034 34 days |
| 40916 |
LLaurance author:LLaurance |
feat(Probability): variance of a binomial random variable |
- [x] depends on: #40613
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|
t-measure-probability |
71/6 |
Mathlib/Probability/Distributions/Binomial.lean,Wanted/Probability/Distributions/Binomial.lean |
2 |
6 |
['EtienneC30', 'LLaurance', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
1-25932 1 day ago |
1-26574 1 day ago |
1-28017 1 day |
| 39913 |
mkaratarakis author:mkaratarakis |
feat(Combinatorics/Quiver): periodicity and aperiodicity |
cycle lengths, index of imprimitivity, and cyclic partitions for strongly connected quivers.
Part of the Perron–Frobenius formalization (with @or4nge19).
---
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cc @or4nge19 for review |
t-combinatorics |
280/0 |
Mathlib.lean,Mathlib/Combinatorics/Quiver/Cyclic.lean |
2 |
4 |
['github-actions', 'mkaratarakis', 'or4nge19'] |
nobody |
1-25082 1 day ago |
1-25082 1 day ago |
91-37308 91 days |
| 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$ |
83/23 |
Mathlib/GroupTheory/Abelianization/Defs.lean,Mathlib/GroupTheory/IsPerfect.lean,Mathlib/GroupTheory/Solvable.lean |
3 |
2 |
['github-actions'] |
nobody |
1-22417 1 day ago |
1-22459 1 day ago |
1-22448 1 day |
| 42307 |
mcdoll author:mcdoll |
feat(Analysis): define Bessel potential spaces |
This PR defines Bessel potential or Fourier theoretic Sobolev spaces.
Material taken from github.com/mcdoll/DirichletProblem
---
As a side note: some of the theorems in `Distribution.Sobolev` will have to be reworked (and maybe the file has to be renamed).
In the future, the facts about `TemperedDistribution.MemSobolev` will be deduced from facts about `BesselPotentialSpace`, the reason being that the existence quantifier makes it impossible to track the `Lp` function, which makes it really hard to prove continuity statements.
This is more related to the properties of interesting operations such as the Sobolev embedding theorem and the trace theorem and I don't think that deducing `MemSobolev.add` from the bundled version saves any lines.
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|
t-analysis |
289/0 |
Mathlib.lean,Mathlib/Analysis/FunctionalSpaces/BesselPotentialSpace.lean |
2 |
2 |
['github-actions'] |
sgouezel assignee:sgouezel |
1-22146 1 day ago |
26-34492 26 days ago |
26-34479 26 days |
| 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 |
1-20288 1 day ago |
5-26814 5 days ago |
5-26801 5 days |
| 43109 |
tb65536 author:tb65536 |
chore(Algebra/Order/Hom/Basic): split file by imports |
I ran intro trouble importing `Algebra/Order/Hom/Basic` into `Algebra/Order/BigOperators/Group/Finset` (which has `assert_not_exists Ring`) in order to prove subadditivity for finite sums.
The file `Algebra/Order/Hom/Basic` is already organized into a basic section, a group norms section, and a ring norms section, so splitting the file along those divisions seemed simplest.
---
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|
t-algebra
t-order
label:t-algebra$ |
268/198 |
Mathlib.lean,Mathlib/Algebra/Order/AbsoluteValue/Basic.lean,Mathlib/Algebra/Order/Hom/Basic.lean,Mathlib/Algebra/Order/Hom/GroupNormClass.lean,Mathlib/Algebra/Order/Hom/RingNormClass.lean,Mathlib/Analysis/Normed/Order/Hom/Basic.lean |
6 |
1 |
['github-actions'] |
nobody |
1-18340 1 day ago |
1-18394 1 day ago |
1-18382 1 day |
| 40846 |
TJHeeringa author:TJHeeringa |
feat(Analysis/InnerProductSpace/TensorProduct): add TensorProduct.congrL |
Add `TensorProduct.congrL`, the continuous version of `TensorProduct.congr`.
---
Requested in https://github.com/leanprover-community/mathlib4/pull/40074#issuecomment-4650716234.
No AI used.
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|
t-topology |
90/4 |
Mathlib/Analysis/InnerProductSpace/TensorProduct.lean,Mathlib/LinearAlgebra/TensorProduct/Graded/Internal.lean,Mathlib/LinearAlgebra/TensorProduct/Map.lean,Mathlib/Topology/Algebra/Module/Equiv.lean |
4 |
24 |
['TJHeeringa', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'themathqueen'] |
nobody |
1-14118 1 day ago |
1-38254 1 day ago |
1-48882 1 day |
| 43043 |
qawbecrdtey author:qawbecrdtey |
feat(Combinatorics/Nullstellensatz): add generalized combinatorial nullstellensatz |
---
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Formalization of generalized combinatorial nullstellensatz by Lasoń.
```lean
theorem combinatorial_nullstellensatz_exists_eval_nonzero_of_maximal
[IsDomain R] (f : MvPolynomial σ R) (t : σ →₀ ℕ) (ht : f.coeff t ≠ 0)
(ht' : ∀ t' : σ →₀ ℕ, t < t' → f.coeff t' = 0) (S : σ → Finset R) (htS : ∀ i, t i < #(S i)) :
∃ s : σ → R, (∀ i, s i ∈ S i) ∧ eval s f ≠ 0 := by
```
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
203/76 |
Mathlib/Algebra/MvPolynomial/Monad.lean,Mathlib/Algebra/MvPolynomial/Variables.lean,Mathlib/Combinatorics/Nullstellensatz.lean,Mathlib/Data/Finsupp/Weight.lean,docs/references.bib |
5 |
1 |
['github-actions'] |
nobody |
1-14013 1 day ago |
3-77633 3 days ago |
4-21479 4 days |
| 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 |
31/2 |
Mathlib/Analysis/Normed/Operator/Bilinear.lean,Mathlib/Topology/Algebra/Module/Spaces/ContinuousLinearMap.lean |
2 |
1 |
['github-actions'] |
nobody |
1-13423 1 day ago |
1-16406 1 day ago |
1-16393 1 day |
| 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 |
1-12121 1 day ago |
1-14436 1 day ago |
1-14596 1 day |
| 42818 |
TJHeeringa author:TJHeeringa |
chore(Algebra/Module/Equiv): split Equiv into Basic, Pi, Prod and Submodule |
The existing file `Equiv` has become too large. This splits the file into `Basic`, `Pi`, `Prod` and `Submodule`.
---
Copyrights were adapted based on what was done in #42697. I didn't find out who wrote `piCongrRight`, only that Kevin wrote `piCongrLeft`.
The companion PR marking `Mathlib/Topology/Algebra/Module/Equiv.lean` as deprected is #42818.
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|
file-removed
t-topology
|
520/415 |
Mathlib.lean,Mathlib/Analysis/Analytic/CPolynomial.lean,Mathlib/Analysis/CStarAlgebra/Module/Synonym.lean,Mathlib/Analysis/Calculus/FDeriv/Prod.lean,Mathlib/Analysis/Convex/ContinuousLinearEquiv.lean,Mathlib/Analysis/Fourier/Notation.lean,Mathlib/Analysis/InnerProductSpace/LinearPMap.lean,Mathlib/Analysis/Normed/Lp/PiLp.lean,Mathlib/Analysis/Normed/Operator/ContinuousLinearMap.lean,Mathlib/Analysis/Normed/Operator/LinearIsometry.lean,Mathlib/Analysis/Normed/Operator/Prod.lean,Mathlib/Geometry/Euclidean/Volume/Measure.lean,Mathlib/MeasureTheory/Group/Measure.lean,Mathlib/MeasureTheory/Integral/Bochner/ContinuousLinearMap.lean,Mathlib/RepresentationTheory/Continuous/Basic.lean,Mathlib/Topology/Algebra/Algebra/Equiv.lean,Mathlib/Topology/Algebra/ContinuousAffineEquiv.lean,Mathlib/Topology/Algebra/InfiniteSum/Module.lean,Mathlib/Topology/Algebra/Module/Alternating/Basic.lean,Mathlib/Topology/Algebra/Module/ClosedSubmodule.lean,Mathlib/Topology/Algebra/Module/Complement.lean,Mathlib/Topology/Algebra/Module/ContinuousLinearMap/Invertible.lean,Mathlib/Topology/Algebra/Module/Determinant.lean,Mathlib/Topology/Algebra/Module/Equiv/Basic.lean,Mathlib/Topology/Algebra/Module/Equiv/Pi.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/LinearPMap.lean,Mathlib/Topology/Algebra/Module/ModuleTopology.lean,Mathlib/Topology/Algebra/Module/Multilinear/Topology.lean,Mathlib/Topology/Algebra/Module/Spaces/UniformConvergenceCLM.lean,Mathlib/Topology/Algebra/Module/Star.lean,Mathlib/Topology/Algebra/Module/TransferInstance.lean,Mathlib/Topology/Instances/RealVectorSpace.lean,Mathlib/Topology/Maps/Strict/Module.lean |
36 |
7 |
['TJHeeringa', 'github-actions', 'mathlib-merge-conflicts', 'themathqueen'] |
nobody |
1-10488 1 day ago |
1-10488 1 day ago |
8-29730 8 days |
| 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 |
1-9832 1 day ago |
1-26894 1 day ago |
1-26883 1 day |
| 43110 |
felixpernegger author:felixpernegger |
feat(Computability): ackermann function as hyperoperation + estimates |
Express the ackermann function via hyperoperations as well as basic properties about hyperoperations
This is more or less coming from https://github.com/kim-em/name-the-biggest-number
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t-computability |
61/3 |
Mathlib/Computability/Ackermann.lean,Mathlib/Data/Nat/Hyperoperation.lean |
2 |
2 |
['felixpernegger', 'github-actions'] |
nobody |
1-7945 1 day ago |
1-22101 1 day ago |
1-22088 1 day |
| 40851 |
SnirBroshi author:SnirBroshi |
feat(MeasureTheory/Integral/MeanInequalities): strict Hölder's inequality for Lebesgue integrals |
Prove an iff for the equality case of Hölder's inequality when both norms are finite and non-zero.
---
For both the norm 1 theorems and the finite non-zero theorems I extracted an intermediate lemma to reduce duplication between the inequality and equality cases.
It looks to me like `funMulInvSnorm` is intended to be private, so I made new theorems about it private.
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t-measure-probability |
94/38 |
Mathlib/MeasureTheory/Integral/Lebesgue/Markov.lean,Mathlib/MeasureTheory/Integral/MeanInequalities.lean |
2 |
15 |
['EtienneC30', 'SnirBroshi', 'github-actions'] |
EtienneC30 assignee:EtienneC30 |
1-6992 1 day ago |
1-8258 1 day ago |
49-36464 49 days |
| 43116 |
felixpernegger author:felixpernegger |
feat(Topology): the small inductive dimension of the reals is 1 |
Towards independence of domain (eventually)
This required adding some missing API (there is still a lot missing)
A few lines of this ought to be adopted after #40901, but I see now reason for the PR to be needed for this.
---
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t-topology
large-import
|
57/8 |
Mathlib/Topology/Bases.lean,Mathlib/Topology/Inseparable.lean,Mathlib/Topology/SmallInductiveDimension.lean |
3 |
3 |
['felixpernegger', 'github-actions'] |
nobody |
1-6782 1 day ago |
1-8586 1 day ago |
1-8774 1 day |
| 42394 |
SnirBroshi author:SnirBroshi |
fix(Algebra/GroupWithZero/Associated): de-`abbrev` `Associates` |
`Associates` is an `abbrev` for `Quotient _`, but there are many `instance`s defined on it.
Some of them create diamonds with general `Quotient` instances: `Inhabited`, `Unique`, and most notably `Preorder`.
While `Associates` has a `Preorder` instance that uses the divisibility relation, any monoid with a `Preorder` will have its ordering lifted to the `Quotient`. So currently `Associates ℕ` has two different `LE` orders defined on it that disagree on `2 ≤ 3`.
This changes `Associates` to a `def` tagged with `@[implicit_reducible]`.
---
The `nonZeroDivisors` proof is now a bit awkward, since the `Equiv` works for `Quotient`s but `simp` refuses to evaluate the `Equiv` because `Associates` elements are multiplied but `Quotient` doesn't have that multiplication. Though `rw` works thanks to `@[implicit_reducible]`.
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t-ring-theory
tech debt
|
26/11 |
Mathlib/Algebra/GroupWithZero/Associated.lean,Mathlib/Algebra/GroupWithZero/NonZeroDivisors.lean,Mathlib/RingTheory/Ideal/IsPrincipal.lean |
3 |
7 |
['SnirBroshi', 'github-actions', 'leanprover-radar', 'pechersky'] |
nobody |
1-4904 1 day ago |
23-69184 23 days ago |
23-71448 23 days |
| 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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|
t-order |
26/0 |
Mathlib/Order/SuccPred/CompleteLinearOrder.lean,Mathlib/Order/WithBot.lean |
2 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
1-2434 1 day ago |
1-5349 1 day ago |
1-12634 1 day |
| 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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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 |
19 |
['ADedecker', 'CBirkbeck', 'WilliamCoram', 'github-actions', 'j-loreaux', 'mathlib-merge-conflicts', 'sfingali', 'vihdzp', 'wwylele'] |
j-loreaux assignee:j-loreaux |
1-1335 1 day ago |
65-31601 65 days ago |
81-13715 81 days |
| 36442 |
SnirBroshi author:SnirBroshi |
feat(Data/Sym/Sym2/Card): cardinality theorems about `Sym2 α` |
---
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|
t-data |
168/0 |
Mathlib.lean,Mathlib/Data/Set/Image.lean,Mathlib/Data/Sym/Sym2.lean,Mathlib/Data/Sym/Sym2/Card.lean |
4 |
33 |
['SnirBroshi', 'eric-wieser', 'github-actions', 'joneugster', 'mathlib-merge-conflicts', 'themathqueen'] |
TwoFX assignee:TwoFX |
0-85407 23 hours ago |
39-24901 39 days ago |
100-86099 100 days |
| 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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|
t-combinatorics
new-contributor
|
38/0 |
Mathlib/Combinatorics/Enumerative/DoubleCounting.lean |
1 |
16 |
['cjrl', 'github-actions', 'vlad902', 'wwylele'] |
nobody |
0-82806 23 hours ago |
11-81156 11 days ago |
24-72661 24 days |
| 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
t-analysis
|
140/0 |
Mathlib/NumberTheory/Divisors.lean,Mathlib/NumberTheory/SelbergSieve.lean |
2 |
29 |
['MichaelStollBayreuth', 'amellendijk', 'github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot'] |
loefflerd assignee:loefflerd |
0-81460 22 hours ago |
48-42864 48 days ago |
52-1178 52 days |
| 31135 |
kckennylau author:kckennylau |
feat(RingTheory): is localization iff is localization on saturation |
In this PR we show that `A` is a localization of `R` on the submonoid `S` iff it is so on the saturation of `S`.
Crucially, the saturation of `S` is precisely the elements that become a unit in `A`.
---
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t-ring-theory |
53/0 |
Mathlib.lean,Mathlib/RingTheory/Localization/Saturation.lean |
2 |
20 |
['alreadydone', 'chrisflav', 'github-actions', 'kckennylau', 'mathlib-bors', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'riccardobrasca'] |
jjdishere assignee:jjdishere |
0-81459 22 hours ago |
49-46733 49 days ago |
96-46866 96 days |
| 36146 |
Multramate author:Multramate |
feat(AlgebraicGeometry/GammaSpecAdjunction): add equivalences for Spec morphisms that commute with algebra maps |
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|
t-algebraic-geometry
t-algebra
label:t-algebra$ |
47/2 |
Mathlib/Algebra/Category/CommAlgCat/Basic.lean,Mathlib/AlgebraicGeometry/GammaSpecAdjunction.lean,Mathlib/AlgebraicGeometry/Scheme.lean |
3 |
18 |
['CBirkbeck', 'Multramate', 'chrisflav', 'erdOne', 'github-actions'] |
mattrobball assignee:mattrobball |
0-81458 22 hours ago |
56-48683 56 days ago |
69-8521 69 days |
| 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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- [x] depends on: #36201
- [x] depends on: #36407
- [x] depends on: #36408
- [x] depends on: #36416
- [x] depends on: #36603
- [x] depends on: #41923
- [x] depends on: #42309
- [x] depends on: #42310
[](https://gitpod.io/from-referrer/)
|
t-analysis |
218/2 |
Mathlib/Analysis/CStarAlgebra/Extreme.lean |
1 |
24 |
['eric-wieser', 'github-actions', 'j-loreaux', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'themathqueen'] |
urkud assignee:urkud |
0-81457 22 hours ago |
2-59731 2 days ago |
13-17764 13 days |
| 39075 |
Thmoas-Guan author:Thmoas-Guan |
feat(Algebra/CommRingCat): colimit of local ring via local hom |
In this PR, we deal with filtered colimit of local ring via local homomorphisms, proving it is
again local, with maximal ideal equal to the union of images of maximal ideals.
Further more, we proved their residue field is colimit too (in category of local ring, residue field functor preserve colimit).
Co-authored-by: Wang Jingting <wangjt2020@163.com>
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|
t-algebra label:t-algebra$ |
211/0 |
Mathlib.lean,Mathlib/Algebra/Category/Ring/FilteredColimitsLocal.lean |
2 |
3 |
['Thmoas-Guan', 'github-actions', 'riccardobrasca'] |
joneugster assignee:joneugster |
0-81456 22 hours ago |
45-71663 45 days ago |
110-36600 110 days |
| 40193 |
BoltonBailey author:BoltonBailey |
chore(1000.yaml): add entries |
This PR adds data on a number of previously missing entries to 1000.yaml that were found during the course of Project Numina's preparation of LeanTriathlon.
These include:
- `comment`s with references to formalized statements of theorems (mostly from the formal-conjectures repo) in cases where they exist, (it seems that, while we can add unproven statements and statements from other repos, we can't really include unproven statements from other repos using the system as it currently exists)
- `comment`s about related definitions to certain theorems in mathlib.
- `url` references to a few complete formalizations in a variety of other repositories.
- `decl` for the preexisting `prime_ideal_of_disjoint_filter_ideal` theorem in Mathlib, which as far as I can tell is just a more general version of the Boolean Prime Ideal theorem.
AI was used in large scale scans to identify these missing entries, but I have done my best to check manually that the statements are correct.
---
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|
documentation |
17/2 |
docs/1000.yaml |
1 |
9 |
['BoltonBailey', 'github-actions', 'mathlib-merge-conflicts', 'wwylele'] |
joneugster assignee:joneugster |
0-81455 22 hours ago |
55-74814 55 days ago |
83-904 83 days |
| 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'] |
joneugster assignee:joneugster |
0-81454 22 hours ago |
68-9603 68 days ago |
68-9935 68 days |
| 41188 |
Scarlett-le author:Scarlett-le |
feat(Geometry/Euclidean): obtuse and right angle criteria from inner product sign |
This PR adds criteria characterising when an unoriented angle is at least, or
strictly greater than, `π / 2`, in terms of the sign of an inner product or a
comparison of squared distances. They are the obtuse/right-angle counterparts of
the existing equality results `InnerProductGeometry.inner_eq_zero_iff_angle_eq_pi_div_two`
and the if-and-only-if Pythagorean theorem
`EuclideanGeometry.dist_sq_eq_dist_sq_add_dist_sq_iff_angle_eq_pi_div_two`.
### New lemmas
`Mathlib/Analysis/SpecialFunctions/Trigonometric/Inverse.lean`
- `Real.pi_div_two_le_arccos : π / 2 ≤ arccos x ↔ x ≤ 0`
- `Real.pi_div_two_lt_arccos : π / 2 < arccos x ↔ x < 0`
Duals of the existing `Real.arccos_le_pi_div_two` / `Real.arccos_lt_pi_div_two`,
both `@[simp]`.
`Mathlib/Geometry/Euclidean/Angle/Unoriented/Basic.lean`
- `InnerProductGeometry.inner_nonpos_iff_pi_div_two_le_angle`
- `InnerProductGeometry.inner_neg_iff_pi_div_two_lt_angle`
`Mathlib/Geometry/Euclidean/Angle/Unoriented/RightAngle.lean`
- `EuclideanGeometry.dist_sq_add_dist_sq_le_dist_sq_iff_pi_div_two_le_angle` |
t-euclidean-geometry |
41/0 |
Mathlib/Analysis/SpecialFunctions/Trigonometric/Inverse.lean,Mathlib/Geometry/Euclidean/Angle/Unoriented/Basic.lean,Mathlib/Geometry/Euclidean/Angle/Unoriented/RightAngle.lean |
3 |
1 |
['github-actions'] |
jsm28 assignee:jsm28 |
0-81453 22 hours ago |
57-49507 57 days ago |
57-49494 57 days |
| 41811 |
YaelDillies author:YaelDillies |
chore(CategoryTheory): use the new `↧` notation in concrete categories |
... as well as the corresponding delaborator. Also remove one extra line break added by the previous PR.
Generated by Claude Opus, reviewed line-by-line by myself.
Assisted-by: Claude Opus 4.8
---
- [x] depends on: #41810
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|
t-category-theory
LLM-generated
|
377/278 |
Mathlib/Algebra/Category/AlgCat/Basic.lean,Mathlib/Algebra/Category/BoolRing.lean,Mathlib/Algebra/Category/CommAlgCat/Basic.lean,Mathlib/Algebra/Category/Grp/Zero.lean,Mathlib/Algebra/Category/ModuleCat/Semi.lean,Mathlib/Algebra/Category/ModuleCat/Topology/Basic.lean,Mathlib/Algebra/Category/MonCat/Basic.lean,Mathlib/Algebra/Category/Ring/Adjunctions.lean,Mathlib/Algebra/Category/Ring/Basic.lean,Mathlib/Algebra/Category/Ring/Colimits.lean,Mathlib/Algebra/Category/Ring/Constructions.lean,Mathlib/Algebra/Category/Ring/Limits.lean,Mathlib/Algebra/Category/Ring/Small.lean,Mathlib/Algebra/Category/Ring/Topology.lean,Mathlib/Algebra/Homology/HomotopyCategory/HomComplexCohomology.lean,Mathlib/AlgebraicGeometry/AffineScheme.lean,Mathlib/AlgebraicGeometry/AffineSpace.lean,Mathlib/AlgebraicGeometry/AlgClosed/Basic.lean,Mathlib/AlgebraicGeometry/Cover/Open.lean,Mathlib/AlgebraicGeometry/GammaSpecAdjunction.lean,Mathlib/AlgebraicGeometry/IdealSheaf/Subscheme.lean,Mathlib/AlgebraicGeometry/Limits.lean,Mathlib/AlgebraicGeometry/Modules/Tilde.lean,Mathlib/AlgebraicGeometry/Morphisms/Proper.lean,Mathlib/AlgebraicGeometry/OpenImmersion.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Basic.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Scheme.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/StructureSheaf.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Topology.lean,Mathlib/AlgebraicGeometry/Properties.lean,Mathlib/AlgebraicGeometry/ResidueField.lean,Mathlib/AlgebraicGeometry/Scheme.lean,Mathlib/AlgebraicGeometry/Sites/ConstantSheaf.lean,Mathlib/AlgebraicGeometry/Spec.lean,Mathlib/AlgebraicGeometry/StructureSheaf.lean,Mathlib/AlgebraicGeometry/ValuativeCriterion.lean,Mathlib/AlgebraicGeometry/ZariskisMainTheorem.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/InducedMaps.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/Product.lean,Mathlib/AlgebraicTopology/TopologicalSimplex.lean,Mathlib/CategoryTheory/ConcreteCategory/Notation.lean,Mathlib/CategoryTheory/Extensive.lean,Mathlib/CategoryTheory/FintypeCat.lean,Mathlib/CategoryTheory/Monoidal/Cartesian/Cat.lean,Mathlib/CategoryTheory/Monoidal/Cartesian/Ring.lean,Mathlib/CategoryTheory/Presentable/CardinalDirectedPoset.lean,Mathlib/CategoryTheory/Sites/SheafCohomology/Basic.lean,Mathlib/Condensed/Light/TopCatAdjunction.lean,Mathlib/Condensed/TopCatAdjunction.lean,Mathlib/Geometry/Manifold/Sheaf/Basic.lean,Mathlib/Geometry/Manifold/Sheaf/LocallyRingedSpace.lean,Mathlib/Geometry/Manifold/Sheaf/Smooth.lean,Mathlib/Geometry/RingedSpace/LocallyRingedSpace.lean,Mathlib/Geometry/RingedSpace/OpenImmersion.lean,Mathlib/Geometry/RingedSpace/PresheafedSpace.lean,Mathlib/Geometry/RingedSpace/SheafedSpace.lean,Mathlib/Order/Category/BddDistLat.lean,Mathlib/Order/Category/BddLat.lean,Mathlib/Order/Category/BddOrd.lean,Mathlib/Order/Category/BoolAlg.lean,Mathlib/Order/Category/CompleteLat.lean,Mathlib/Order/Category/DistLat.lean,Mathlib/Order/Category/FinBddDistLat.lean,Mathlib/Order/Category/FinBoolAlg.lean,Mathlib/Order/Category/FinPartOrd.lean,Mathlib/Order/Category/Frm.lean,Mathlib/Order/Category/HeytAlg.lean,Mathlib/Order/Category/Lat.lean,Mathlib/Order/Category/LinOrd.lean,Mathlib/Order/Category/NonemptyFinLinOrd.lean,Mathlib/Order/Category/OmegaCompletePartialOrder.lean,Mathlib/Order/Category/PartOrd.lean,Mathlib/Order/Category/PartOrdEmb.lean,Mathlib/Order/Category/Preord.lean,Mathlib/Order/Category/Semilat.lean,Mathlib/Order/NonemptyFiniteChains.lean,Mathlib/RingTheory/Etale/Finite.lean,Mathlib/RingTheory/PicardGroup.lean,Mathlib/Topology/Algebra/Category/ProfiniteGrp/Basic.lean,Mathlib/Topology/Category/CompHaus/Basic.lean,Mathlib/Topology/Category/CompHausLike/Basic.lean,Mathlib/Topology/Category/CompactlyGenerated.lean,Mathlib/Topology/Category/Compactum.lean,Mathlib/Topology/Category/FinTopCat.lean,Mathlib/Topology/Category/Profinite/Basic.lean,Mathlib/Topology/Category/Sequential.lean,Mathlib/Topology/Category/Stonean/Adjunctions.lean,Mathlib/Topology/Category/TopCat/Basic.lean,Mathlib/Topology/Category/TopCat/Limits/Basic.lean,Mathlib/Topology/Category/TopCat/Limits/Products.lean,Mathlib/Topology/Category/TopCat/Monoidal.lean,Mathlib/Topology/Category/TopCat/Opens.lean,Mathlib/Topology/Category/TopCat/ULift.lean,Mathlib/Topology/Category/TopCommRingCat.lean,Mathlib/Topology/Category/TopPair.lean,Mathlib/Topology/Category/UniformSpace.lean,Mathlib/Topology/Convenient/Category.lean,Mathlib/Topology/Gluing.lean,Mathlib/Topology/Order/Category/AlexDisc.lean,Mathlib/Topology/Order/Category/FrameAdjunction.lean |
105 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
dagurtomas assignee:dagurtomas |
0-81451 22 hours ago |
6-11255 6 days ago |
6-13461 6 days |
| 41898 |
marcinbugaj author:marcinbugaj |
feat(Analysis/Convex): majorization preorder and T-transform decomposition |
Add the majorization preorder and its T-transform decomposition.
**Majorization.** `Majorizes a b` (notation `a ≺ b`) is defined for `a b : ι → M` with `ι` an arbitrary `Fintype` and `M` an ordered additive commutative monoid: the two tuples have equal total sum and, for every `k`, the maximal sum over `k`-element subsets of `a` is at most that of `b` (`maxSubsetSum`). This is classical (Hardy–Littlewood–Pólya / Schur) majorization; it lives on the values, so it is permutation-invariant and needs no order on the index (in particular it is not first-order stochastic dominance). It is shown to be a preorder (`Majorizes.refl`, `Majorizes.trans`, the `Trans` instance), with `majorizes_iff_descPrefixSum` characterizing it via sorted prefix sums, and `comp_perm_majorizes_iff` / `majorizes_comp_perm_iff` recording permutation-invariance.
**T-transforms.** A single T-transform (Robin Hood transfer) is the operation `tTransform a s` for a step `s : TStep ι K` (its two coordinates `k, l` and transfer parameter `t`), over an ordered field `K` . RelatedByTTransform b a` means `b = tTransform a s` for some valid step, and `discrepancy a b` counts the coordinates at which `a` and `b` differ.
**Decomposition.** `majorizes_iff_reflTransGen_relatedByTTransform`: `a ≺ b` iff the decreasing rearrangement of `a` is reachable from that of `b` by a finite chain of T-transforms. The chain is also produced as explicit data: `majorizesTStepList` is a `def` returning the concrete `List (TStep …)` bundled with a proof that it is a valid chain folding sorted `b` to sorted `a`, of length at most `discrepancy`; `majorizes_exists_tStepList` is the existence form, and the `ReflTransGen` characterization is derived from it. The construction is computable: over a computable ordered field such as `ℚ` the step list evaluates to a concrete value.
|
t-analysis
new-contributor
|
960/0 |
Mathlib.lean,Mathlib/Analysis/Convex/Majorization.lean,docs/references.bib |
3 |
13 |
['YaelDillies', 'github-actions', 'marcinbugaj'] |
j-loreaux assignee:j-loreaux |
0-81450 22 hours ago |
33-42348 33 days ago |
38-39822 38 days |
| 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 |
2 |
['github-actions'] |
j-loreaux assignee:j-loreaux |
0-81450 22 hours ago |
38-42511 38 days ago |
38-42998 38 days |
| 42787 |
xroblot author:xroblot |
chore(RingTheory/Ideal/Norm): weaken `Ideal.absNorm` to infinite Dedekind domains |
`Ideal.absNorm` and `Submodule.cardQuot_mul` assumed `Module.Free ℤ S`, where all that is really needed is `Infinite S`. They now assume the latter, which brings in rings that are not finite over `ℤ`. The results genuinely using a `ℤ`-basis are collected in a `section Free`.
Downstream, several lemmas therefore assume `Infinite` where they assumed `Module.Free ℤ`. This is not a real restriction: the instance should hold for every ring these results are applied to, and should simply be added when missing, independently of this PR.
This is the third part of a sequence of PRs generalizing `Ideal.absNorm` away from `Module.Free ℤ`, after #42081 and #42784.
Prepared with Claude Code 🤖
---
- [x] depends on: #42784
- [x] depends on: #42809
|
t-number-theory |
51/27 |
Mathlib/NumberTheory/NumberField/Completion/FinitePlace.lean,Mathlib/NumberTheory/NumberField/DirichletDensity.lean,Mathlib/NumberTheory/NumberField/FractionalIdeal.lean,Mathlib/NumberTheory/RamificationInertia/Inertia.lean,Mathlib/RingTheory/FractionalIdeal/Norm.lean,Mathlib/RingTheory/Ideal/Int.lean,Mathlib/RingTheory/Ideal/Norm/AbsNorm.lean,Mathlib/RingTheory/Ideal/Norm/RelNorm.lean,Mathlib/RingTheory/Ideal/Quotient/HasFiniteQuotients/Norm.lean,Mathlib/RingTheory/RamificationInertia/Inertia.lean |
10 |
4 |
['github-actions', 'leanprover-radar', 'mathlib-dependent-issues', 'xroblot'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
0-81449 22 hours ago |
7-47132 7 days ago |
7-49111 7 days |
| 42801 |
felixpernegger author:felixpernegger |
feat(NumberTheory): define Carmichael numbers |
https://en.wikipedia.org/wiki/Carmichael_number
I.e. composite numbers that pass the Euler-Fermat test for all basis (not to be confused with the carmichael function, which is in mathlib and use in this file...)
We also prove Korselt's criterion, which gives a relatively fast test is a number is a Carmichael number.
A fun challenge would be to prove efficiently that 561 is the smallest Carmicheal number. The following code works but is way too slow for mathlib:
```
example (hn : n < 561) : ¬ IsCarmichael n := by
rw [isCarmichael_iff_korselt_primeFactorsList] at ⊢
simp only [not_and, not_forall]
intro
interval_cases n
all_goals simp only [List.nodup_nil, not_true_eq_false, List.not_mem_nil, imp_false,
Decidable.not_not, IsEmpty.forall_iff, List.nodup_cons, not_false_eq_true, and_self,
Nat.add_one_sub_one, List.mem_cons, or_false, exists_prop, primeFactorsList_ofNat,
exists_eq_left, dvd_refl, forall_const, reduceEqDiff, or_self, and_true, and_false,
or_self_left, exists_eq_or_imp, isUnit_iff_eq_one, IsUnit.dvd, ↓existsAndEq, reduceDvd, or_true,
implies_true]
all_goals norm_num
```
Some of the proofs were originally made by Codex, but heavily golfed etc
---
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t-number-theory
LLM-generated
|
217/0 |
Mathlib.lean,Mathlib/NumberTheory/ArithmeticFunction/Carmichael.lean,Mathlib/NumberTheory/CarmichaelNumber.lean |
3 |
2 |
['felixpernegger', 'github-actions'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
0-81448 22 hours ago |
11-34317 11 days ago |
11-34330 11 days |
| 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 |
302/177 |
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 |
1 |
['github-actions'] |
EtienneC30 assignee:EtienneC30 |
0-81447 22 hours ago |
5-44435 5 days ago |
5-44422 5 days |
| 40735 |
tb65536 author:tb65536 |
feat(NumberTheory/NumberField/AdeleRing): define the idele class group |
This PR defines the idele class group and the maps from the completions at finite places. This will be used to define Hecke L-Functions.
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|
t-number-theory
t-algebra
label:t-algebra$ |
82/5 |
Mathlib/NumberTheory/NumberField/AdeleRing.lean,Mathlib/NumberTheory/NumberField/InfiniteAdeleRing.lean,Mathlib/RingTheory/DedekindDomain/FiniteAdeleRing.lean,Mathlib/Topology/Algebra/RestrictedProduct/Basic.lean |
4 |
5 |
['github-actions', 'mathlib-merge-conflicts', 'smmercuri'] |
nobody |
0-80557 22 hours ago |
28-3804 28 days ago |
69-81173 69 days |
| 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 |
4 |
['github-actions', 'leanprover-radar', 'themathqueen'] |
nobody |
0-80554 22 hours ago |
66-31909 66 days ago |
68-9974 68 days |
| 38018 |
matthewjasper author:matthewjasper |
feat(Algebra): expand Subalgebra.restrictScalars API |
Add an instance for the original algebra structure, the implied scalar tower instances, and the algebra equivalence with the original subalgebra. Use this to remove some `set_option backward.isDefEq.respectTransparency`.
---
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|
t-ring-theory
tech debt
|
61/15 |
Mathlib/Algebra/Algebra/Subalgebra/Tower.lean,Mathlib/RingTheory/AlgebraicIndependent/TranscendenceBasis.lean,Mathlib/RingTheory/Finiteness/Basic.lean,Mathlib/RingTheory/IntegralClosure/IsIntegralClosure/Basic.lean |
4 |
17 |
['eric-wieser', 'github-actions', 'kbuzzard', 'leanprover-radar', 'mariainesdff', 'mathlib-merge-conflicts', 'matthewjasper'] |
nobody |
0-80553 22 hours ago |
43-2484 43 days ago |
117-54749 117 days |
| 39219 |
WenrongZou author:WenrongZou |
feat(FieldTheory/Finite): add variant theorems for `expand_card` |
Add `MvPolynomial, MvPowerSeries, PowerSeries` version of `FiniteField.expand_card`, which is only for polynomial.
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|
t-algebra
large-import
label:t-algebra$ |
37/3 |
Mathlib/FieldTheory/Finite/Basic.lean,Mathlib/LinearAlgebra/Matrix/Charpoly/FiniteField.lean,Mathlib/RingTheory/MvPolynomial/Expand.lean,Mathlib/RingTheory/MvPowerSeries/Expand.lean,Mathlib/RingTheory/PowerSeries/Expand.lean |
5 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
0-80551 22 hours ago |
38-46781 38 days ago |
102-50549 102 days |
| 41717 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Walk): more `transfer` API |
---
The Hamiltonian lemmas don't really need `Finite`; I'll fix this after #41435 (in whichever merges second).
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t-combinatorics
tech debt
|
54/23 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Hamiltonian.lean,Mathlib/Combinatorics/SimpleGraph/Paths.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Maps.lean |
4 |
1 |
['github-actions'] |
nobody |
0-80550 22 hours ago |
43-67514 43 days ago |
43-67604 43 days |
| 39212 |
emlis42 author:emlis42 |
feat(Algebra/ContinuedFractions): add `partNums!` and `partDens!` |
This PR adds `partNums!` and `partDens!`, 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$ |
66/35 |
Mathlib/Algebra/ContinuedFractions/Basic.lean,Mathlib/Algebra/ContinuedFractions/ContinuantsRecurrence.lean,Mathlib/Algebra/ContinuedFractions/Determinant.lean,Mathlib/Algebra/ContinuedFractions/Translations.lean |
4 |
4 |
['emlis42', 'github-actions', 'grunweg'] |
nobody |
0-80548 22 hours ago |
107-22940 107 days ago |
107-22927 107 days |
| 32058 |
Thmoas-Guan author:Thmoas-Guan |
feat(Algebra): Baer criterion for injective dimension |
In this PR, we added the cateory version of Baer criterion stating that `M` is injective iff `Ext^1(R/I, M)` vanish for all ideal `I`. By dimension shifting, we also have `M` has injective dimension not exceeding `n` iff `Ext^{n + 1}(R/I, M)` vanish for all ideal `I`.
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t-algebra
t-category-theory
label:t-algebra$ |
172/0 |
Mathlib.lean,Mathlib/Algebra/Category/ModuleCat/Ext/Baer.lean,Mathlib/Algebra/Homology/DerivedCategory/Ext/EnoughProjectives.lean |
3 |
86 |
['Thmoas-Guan', 'dagurtomas', 'github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib-splicebot', 'mathlib4-merge-conflict-bot'] |
nobody |
0-80547 22 hours ago |
68-36914 68 days ago |
154-28616 154 days |
| 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$ |
79/0 |
Mathlib.lean,Mathlib/RepresentationTheory/Hecke/Basic.lean |
2 |
7 |
['JX-Mo', 'Whysoserioushah', 'github-actions'] |
nobody |
0-79060 21 hours ago |
2-34015 2 days ago |
2-34104 2 days |
| 38821 |
Jun2M author:Jun2M |
feat(Data/List): rotation of sublist is sublist of rotation |
This PR proves `(∃ L₁ : List α, L ~r L₁ ∧ L₁ <+ L') ↔ (∃ L₂ : List α, L <+ L₂ ∧ L₂ ~r L')`.
---
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|
t-data |
11/0 |
Mathlib/Data/List/Rotate.lean |
1 |
8 |
['Jun2M', 'SnirBroshi', 'Vierkantor', 'eric-wieser', 'github-actions', 'plp127'] |
Vierkantor assignee:Vierkantor |
0-76530 21 hours ago |
0-76532 21 hours ago |
116-32313 116 days |
| 41135 |
martinwintermath author:martinwintermath |
feat(Algebra/Order/Nonneg): generalize Nonneg/Field.lean to `DivisionSemiring` |
Generalizes the content of Nonneg/Field.lean from `Semifield` to `DivisionSemiring`
---
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|
t-algebra label:t-algebra$ |
15/5 |
Mathlib/Algebra/Order/Nonneg/Field.lean |
1 |
5 |
['github-actions', 'leanprover-radar', 'themathqueen'] |
themathqueen assignee:themathqueen |
0-67911 18 hours ago |
59-1379 59 days ago |
59-1366 59 days |
| 43035 |
kim-em author:kim-em |
chore: use simp instead of norm_num where simp suffices |
This PR replaces `norm_num` with `simp` at 226 call sites where `simp` already closes the goal on its own.
Most of these are `(by norm_num)` discharging a trivial side condition, for example `pow_le_pow_of_le_one (by norm_num) (by norm_num)`, `pow_pos (by norm_num) _`, or `logb_le_logb (b := 2) (by norm_num) _`. `norm_num` runs the full default simp set and then dispatches its extensions on every subterm it visits, so where `simp` suffices the extension dispatch is pure overhead.
The motivation is readability rather than speed. `!bench` on the first revision reported no significant results overall, so this should be taken as a consistency cleanup, not a performance improvement.
Every site was found mechanically and verified individually: each `norm_num` token was replaced in isolation and the containing file recompiled, and a site was kept only when the file compiled with no errors and no warnings, so linter complaints about now-unused simp arguments count against a site rather than for it. Sites in the four files that do not compile standalone were excluded. The 369 sites where `simp` does not suffice are untouched; those are doing real rational arithmetic such as `(3 / 2 : ℝ) < 2` or `(↑10 ^ 2) = 100`.
`Mathlib/Analysis/Calculus/FDeriv/Measurable.lean` was included in the first revision and has been reverted: `!bench` flagged it at +790.0M (+1.23%) instructions, the only regression in the change.
This is independent of https://github.com/leanprover-community/mathlib4/pull/43003; the same sites are replaceable with or without it, confirmed by running the sweep against both trees.
🤖 Prepared with Claude Code
|
|
216/216 |
Mathlib/Algebra/Homology/AlternatingConst.lean,Mathlib/Algebra/Order/Round.lean,Mathlib/Algebra/Quaternion.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/Basic.lean,Mathlib/Analysis/Analytic/Binomial.lean,Mathlib/Analysis/Asymptotics/SpecificAsymptotics.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Order.lean,Mathlib/Analysis/Calculus/ContDiff/Defs.lean,Mathlib/Analysis/Complex/Exponential.lean,Mathlib/Analysis/Complex/ExponentialBounds.lean,Mathlib/Analysis/Complex/Poisson.lean,Mathlib/Analysis/Complex/SqrtDeriv.lean,Mathlib/Analysis/Complex/Tietze.lean,Mathlib/Analysis/Convex/Basic.lean,Mathlib/Analysis/Convex/Cone/Extension.lean,Mathlib/Analysis/Distribution/Sobolev.lean,Mathlib/Analysis/Fourier/AddCircle.lean,Mathlib/Analysis/InnerProductSpace/Defs.lean,Mathlib/Analysis/InnerProductSpace/Symmetric.lean,Mathlib/Analysis/InnerProductSpace/l2Space.lean,Mathlib/Analysis/Normed/Algebra/TrivSqZeroExt.lean,Mathlib/Analysis/Normed/Group/Seminorm.lean,Mathlib/Analysis/Polynomial/Norm.lean,Mathlib/Analysis/Real/Pi/Bounds.lean,Mathlib/Analysis/Real/Pi/Wallis.lean,Mathlib/Analysis/SpecialFunctions/ArithmeticGeometricMean.lean,Mathlib/Analysis/SpecialFunctions/BinaryEntropy.lean,Mathlib/Analysis/SpecialFunctions/Complex/Circle.lean,Mathlib/Analysis/SpecialFunctions/Complex/Log.lean,Mathlib/Analysis/SpecialFunctions/Complex/LogBounds.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/Rpow/Order.lean,Mathlib/Analysis/SpecialFunctions/Elliptic/Weierstrass.lean,Mathlib/Analysis/SpecialFunctions/Integrability/Basic.lean,Mathlib/Analysis/SpecialFunctions/Log/Monotone.lean,Mathlib/Analysis/SpecialFunctions/Sigmoid.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Bounds.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Chebyshev/ChebyshevGauss.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Chebyshev/Extremal.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Chebyshev/Orthogonality.lean,Mathlib/Analysis/SpecificLimits/Basic.lean,Mathlib/Analysis/SpecificLimits/Normed.lean,Mathlib/Combinatorics/Enumerative/Catalan/Basic.lean,Mathlib/Combinatorics/Enumerative/Partition/Glaisher.lean,Mathlib/Combinatorics/SimpleGraph/Regularity/Chunk.lean,Mathlib/Combinatorics/SimpleGraph/Regularity/Lemma.lean,Mathlib/Computability/AkraBazzi/AkraBazzi.lean,Mathlib/Computability/AkraBazzi/GrowsPolynomially.lean,Mathlib/Computability/AkraBazzi/SumTransform.lean,Mathlib/Data/EReal/Basic.lean,Mathlib/Data/Nat/Choose/Central.lean,Mathlib/Data/Nat/Totient.lean,Mathlib/Data/Real/Basic.lean,Mathlib/Geometry/Euclidean/Angle/Bisector.lean,Mathlib/Geometry/Euclidean/Angle/Oriented/Affine.lean,Mathlib/Geometry/Euclidean/NinePointCircle.lean,Mathlib/Geometry/Euclidean/Similarity.lean,Mathlib/Geometry/Euclidean/Sphere/OrthRadius.lean,Mathlib/Geometry/Manifold/Instances/Real.lean,Mathlib/GroupTheory/CommutingProbability.lean,Mathlib/GroupTheory/Descent.lean,Mathlib/GroupTheory/Exponent.lean,Mathlib/GroupTheory/GroupAction/Jordan.lean,Mathlib/GroupTheory/GroupAction/MultipleTransitivity.lean,Mathlib/GroupTheory/GroupAction/SubMulAction/Combination.lean,Mathlib/GroupTheory/Perm/Cycle/Concrete.lean,Mathlib/GroupTheory/Perm/Sign.lean,Mathlib/GroupTheory/SpecificGroups/Alternating/Simple.lean,Mathlib/LinearAlgebra/Matrix/FixedDetMatrices.lean,Mathlib/LinearAlgebra/Matrix/SpecialLinearGroup.lean,Mathlib/LinearAlgebra/Projectivization/Collinear.lean,Mathlib/LinearAlgebra/RootSystem/Finite/G2.lean,Mathlib/MeasureTheory/Function/BorelGrowth.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/AbsolutelyContinuousFun.lean,Mathlib/MeasureTheory/Measure/Lebesgue/VolumeOfBalls.lean,Mathlib/NumberTheory/Bernoulli.lean,Mathlib/NumberTheory/Chebyshev.lean,Mathlib/NumberTheory/Harmonic/ZetaAsymp.lean,Mathlib/NumberTheory/LSeries/HurwitzZetaOdd.lean,Mathlib/NumberTheory/LucasLehmer.lean,Mathlib/NumberTheory/Modular.lean,Mathlib/NumberTheory/ModularForms/Basic.lean,Mathlib/NumberTheory/ModularForms/Discriminant.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/Basic.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/E2/Transform.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/QExpansion.lean,Mathlib/NumberTheory/ModularForms/LevelOne/DimensionFormula.lean,Mathlib/NumberTheory/NumberField/CanonicalEmbedding/ConvexBody.lean,Mathlib/NumberTheory/NumberField/CanonicalEmbedding/FundamentalCone.lean,Mathlib/NumberTheory/NumberField/Cyclotomic/Basic.lean,Mathlib/NumberTheory/NumberField/Discriminant/Basic.lean,Mathlib/NumberTheory/NumberField/InfinitePlace/Basic.lean,Mathlib/NumberTheory/Padics/Hensel.lean,Mathlib/NumberTheory/Padics/PadicNumbers.lean,Mathlib/NumberTheory/Pell.lean,Mathlib/NumberTheory/PythagoreanTriples.lean,Mathlib/NumberTheory/Real/GoldenRatio.lean,Mathlib/NumberTheory/Wilson.lean,Mathlib/Probability/Distributions/Beta.lean,Mathlib/Probability/Distributions/Exponential.lean |
124 |
6 |
['github-actions', 'kim-em', 'leanprover-radar', 'mathlib-merge-conflicts'] |
nobody |
0-63669 17 hours ago |
0-65775 18 hours ago |
4-41605 4 days |
| 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
|
29/0 |
Mathlib/Analysis/Calculus/VectorField.lean |
1 |
4 |
['github-actions', 'korbonits'] |
nobody |
0-63405 17 hours ago |
10-66479 10 days ago |
10-66466 10 days |
| 43119 |
SnirBroshi author:SnirBroshi |
feat(Topology/LocallyConstant/Basic): a function is locally constant iff it's eventually constant around every point |
`IsLocallyConstant f ↔ ∀ x, (𝓝 x).EventuallyConst f`
---
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[](https://gitpod.io/from-referrer/)
|
t-topology |
19/13 |
Mathlib/Topology/Category/Profinite/Nobeling/Induction.lean,Mathlib/Topology/LocallyConstant/Basic.lean |
2 |
1 |
['github-actions'] |
nobody |
0-58833 16 hours ago |
0-59934 16 hours ago |
0-60686 16 hours |
| 33434 |
astrainfinita author:astrainfinita |
chore: redefine `Finsupp.indicator` using `Finsupp.onFinset` |
---
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|
t-data |
6/17 |
Mathlib/Data/Finsupp/Indicator.lean |
1 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
0-58526 16 hours ago |
0-60658 16 hours ago |
20-28538 20 days |
| 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`. It also uses more widely the `simp` auto-param on `SimpleGraph.loopless`.
---
- [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 |
86/90 |
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/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/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/RelClasses.lean |
21 |
20 |
['SnirBroshi', 'Vierkantor', 'YaelDillies', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
0-57967 16 hours ago |
0-60948 16 hours ago |
88-14724 88 days |
| 40941 |
JX-Mo author:JX-Mo |
feat(RepresentationTheory): add stabilizers of vectors in representations |
Add Representation.stabilizer: the subgroup fixing a vector in a representation.
Provide basic lemmas for zero vectors, scalar multiples, sums, intertwining maps, and conjugations, as a first step toward smooth representations. Make representation-theoretic arguments use this specialized API instead of repeatedly unfolding the fixed-vector condition or routing through the more general MulAction stabilizer API. |
t-algebra
new-contributor
maintainer-merge
label:t-algebra$ |
68/0 |
Mathlib.lean,Mathlib/RepresentationTheory/Stabilizer.lean |
2 |
71 |
['JX-Mo', 'Whysoserioushah', 'github-actions', 'tb65536'] |
joelriou assignee:joelriou |
0-56159 15 hours ago |
40-27524 40 days ago |
61-40556 61 days |
| 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
|
12/20 |
Mathlib/Combinatorics/SimpleGraph/CycleGraph.lean |
1 |
11 |
['SnirBroshi', 'github-actions', 'kim-em', 'vlad902'] |
nobody |
0-53285 14 hours ago |
0-53959 14 hours ago |
16-43383 16 days |
| 42475 |
kebekus author:kebekus |
feat: establish the Poisson-Jensen formula |
Establish the classic Poisson-Jensen formula of complex analysis, which generalizes the Jensen formula.
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
|
144/1 |
Mathlib/Analysis/Complex/JensenFormula.lean,Mathlib/Analysis/Complex/Poisson.lean |
2 |
3 |
['github-actions', 'kebekus', 'mathlib-merge-conflicts'] |
nobody |
0-52856 14 hours ago |
0-53964 14 hours ago |
20-82893 20 days |
| 41584 |
kim-em author:kim-em |
chore: complete generalization of oneLePart lemmas to DivInvMonoid |
This PR completes the generalization of `Mathlib/Algebra/Order/Group/PosPart.lean` started by #41247: weaken `leOnePart_one`/`negPart_zero` from `Group` to `DivInvOneMonoid` (the proof needs only `inv_one`), weaken `oneLePart_min` and the five `oneLePart` lemmas in the `LinearOrder` section (`oneLePart_eq_ite`, `oneLePart_eq_ite_lt`, `one_lt_oneLePart_iff`, `oneLePart_of_one_lt_oneLePart`, `oneLePart_lt`) from `Group` to `DivInvMonoid`, and weaken the `Pi` section's `[∀ i, Group (α i)]` to `[∀ i, DivInvMonoid (α i)]`. No statement or proof changes; this makes these lemmas available for `EReal`, the motivating use case of the original PR.
Follow-up to [#41247 (chore: generalize `instPosPart` to `SubNegMonoid`)](https://github.com/leanprover-community/mathlib4/pull/41247).
🤖 Prepared with Claude Code
|
t-algebra
LLM-generated
label:t-algebra$ |
17/7 |
Mathlib/Algebra/Order/Group/PosPart.lean |
1 |
5 |
['github-actions', 'leanprover-radar', 'themathqueen'] |
nobody |
0-52814 14 hours ago |
0-55296 15 hours ago |
0-55283 15 hours |
| 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 |
351/0 |
Mathlib.lean,Mathlib/AlgebraicTopology/SimplicialObject/Basic.lean,Mathlib/AlgebraicTopology/SimplicialSet/FundamentalGroupoid/Basic.lean,MathlibTest/CategoryTheory/CheckDsimp.lean |
4 |
7 |
['github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'robin-carlier'] |
nobody |
0-52584 14 hours ago |
0-53358 14 hours ago |
12-42832 12 days |
| 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 the issue raised in #41471.
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.
I am also aware this tool was initially written with Codex.
[](https://gitpod.io/from-referrer/)
|
t-meta |
367/144 |
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 |
6 |
['github-actions', 'kbuzzard', 'leanprover-radar'] |
nobody |
0-52580 14 hours ago |
17-65490 17 days ago |
17-65477 17 days |
| 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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|
|
5/1 |
Mathlib/Testing/Plausible/Functions.lean,Mathlib/Testing/Plausible/Sampleable.lean,Mathlib/Testing/Plausible/Testable.lean |
3 |
1 |
['github-actions'] |
nobody |
0-52010 14 hours ago |
0-52744 14 hours ago |
0-52731 14 hours |
| 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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|
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 |
0-51491 14 hours ago |
0-54769 15 hours ago |
0-54756 15 hours |
| 40156 |
JovanGerb author:JovanGerb |
perf: reduce priority of `DivisionSemiring.toSemiring` |
This PR reduces the priority of `DivisionSemiring.toSemiring`. This is relevant because a lot of type class search starts at `Semiring`, so we need to ensure that the instances that apply to `Semiring` are tried in a sensible order. In particular, this will now prefer `CommSemiring.toSemiring`.
---
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|
t-algebra label:t-algebra$ |
18/15 |
Mathlib/Algebra/Field/Defs.lean,Mathlib/Algebra/Quaternion.lean,Mathlib/Analysis/Calculus/ContDiff/Defs.lean,Mathlib/Analysis/Calculus/FDeriv/Add.lean,Mathlib/FieldTheory/SeparableClosure.lean,Mathlib/RingTheory/Etale/Field.lean,Mathlib/RingTheory/QuasiFinite/Polynomial.lean,MathlibTest/GalNotation.lean,MathlibTest/Tactic/Ring/Ring.lean |
9 |
10 |
['JovanGerb', 'github-actions', 'kbuzzard', 'leanprover-radar', 'themathqueen'] |
joneugster assignee:joneugster |
0-50458 14 hours ago |
83-25563 83 days ago |
83-27315 83 days |
| 39916 |
mkaratarakis author:mkaratarakis |
feat(Combinatorics/Quiver/Path): paths for Perron–Frobenius |
Add `Mathlib/Combinatorics/Quiver/Path/PerronFrobenius.lean`: weighted quiver paths, cycle decomposition, and positivity lemmas for matrix irreducibility.
Part of the Perron–Frobenius formalization (with @or4nge19).
---
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[](https://gitpod.io/from-referrer/) |
t-combinatorics |
341/0 |
Mathlib.lean,Mathlib/Combinatorics/Quiver/Induced.lean,Mathlib/Combinatorics/Quiver/Path/Cycle.lean,Mathlib/Combinatorics/Quiver/Path/Replicate.lean,Mathlib/Combinatorics/Quiver/Path/Simple.lean |
5 |
11 |
['SnirBroshi', 'github-actions', 'mathlib-merge-conflicts', 'mkaratarakis', 'or4nge19'] |
nobody |
0-47573 13 hours ago |
0-47573 13 hours ago |
3-53492 3 days |
| 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/Indistinguishable.lean |
2 |
1 |
['github-actions'] |
nobody |
0-46222 12 hours ago |
0-47097 13 hours ago |
0-47084 13 hours |
| 42578 |
harahu author:harahu |
chore: avoid lazy continuation lines in markdown |
This PR fixes Markdown lazy continuation lines in documentation. The bulk of the changes are:
1. Continuation lines of a list item are indented to the item's content column instead of sitting flush with the marker.
2. A blank line is inserted where a paragraph following a list was being absorbed into the final list item.
This is done because lazy continuation can make it hard to understand the intent of the text when reading the raw source. It is also a source of flawed rendering, as in case 2 above.
Some other minor changes are also included:
- RingTheory/FormalGroup/Basic.lean: the qualifier "when F is a commutative formal group law" moves from AddMonoid to AddCommMonoid, which is where it belongs: instance : AddMonoid (F.Point σ) is unconditional, instance [F.IsComm] : AddCommMonoid (F.Point σ) is not.
- Tactic/Algebra/Basic.lean: typo, experssions → expressions.
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|
136/121 |
Mathlib/Algebra/Category/ModuleCat/Presheaf/ColimitFunctor.lean,Mathlib/Algebra/Group/Subgroup/Basic.lean,Mathlib/Algebra/Homology/SpectralSequence/ComplexShape.lean,Mathlib/Algebra/Lie/LieTheorem.lean,Mathlib/Algebra/Lie/Prod.lean,Mathlib/Algebra/LieRinehartAlgebra/Subalgebra.lean,Mathlib/AlgebraicGeometry/EllipticCurve/LFunction.lean,Mathlib/AlgebraicGeometry/Gluing.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Scheme.lean,Mathlib/AlgebraicTopology/Reedy/Basic.lean,Mathlib/AlgebraicTopology/SimplicialSet/AnodyneExtensions/PushoutProduct.lean,Mathlib/AlgebraicTopology/SimplicialSet/Subdivision.lean,Mathlib/AlgebraicTopology/SimplicialSet/TopAdj.lean,Mathlib/Analysis/Calculus/UniformLimitsDeriv.lean,Mathlib/Analysis/Distribution/ContDiffMapSupportedIn.lean,Mathlib/Analysis/Normed/Field/Approximation.lean,Mathlib/Analysis/Normed/Field/Dense.lean,Mathlib/Analysis/Normed/Field/Krasner.lean,Mathlib/Analysis/Normed/Module/Bases.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Chebyshev/Extremal.lean,Mathlib/CategoryTheory/Abelian/Preradical/Colon.lean,Mathlib/CategoryTheory/Limits/Shapes/Pullback/ChosenPullback.lean,Mathlib/CategoryTheory/Sites/Point/OfIsCofiltered.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Finite.lean,Mathlib/Data/Bracket.lean,Mathlib/Dynamics/SymbolicDynamics/Basic.lean,Mathlib/GroupTheory/FinitelyPresentedGroup.lean,Mathlib/GroupTheory/Generators.lean,Mathlib/GroupTheory/GroupAction/Blocks.lean,Mathlib/GroupTheory/Perm/Fin.lean,Mathlib/Lean/Meta/RefinedDiscrTree/Basic.lean,Mathlib/LinearAlgebra/InvariantBasisNumber.lean,Mathlib/LinearAlgebra/LinearPMap.lean,Mathlib/LinearAlgebra/Matrix/Rank.lean,Mathlib/LinearAlgebra/SymplecticGroup.lean,Mathlib/Logic/Equiv/Array.lean,Mathlib/Logic/Equiv/Fin/Rotate.lean,Mathlib/NumberTheory/WellApproximable.lean,Mathlib/Probability/Process/Adapted.lean,Mathlib/RingTheory/FormalGroup/Basic.lean,Mathlib/Tactic/Algebra/Basic.lean,Mathlib/Tactic/Polynomial/Basic.lean,Mathlib/Topology/Category/LightProfinite/Injective.lean,Mathlib/Topology/Gluing.lean,Mathlib/Topology/MetricSpace/PiNat.lean,Mathlib/Topology/Sheaves/Presheaf.lean,Mathlib/Topology/Sion.lean |
47 |
3 |
['SnirBroshi', 'github-actions', 'harahu'] |
nobody |
0-42836 11 hours ago |
0-44917 12 hours ago |
0-44904 12 hours |
| 40182 |
Thmoas-Guan author:Thmoas-Guan |
feat(RingTheory): add lemma for span rank of maximal ideal under surjection |
In this PR, we added the following result : for noetherian local ring `(R, m, k)`, the span rank of maximal ideal of `R/I` adding `k` dimension of `I+m^2/m^2` is equal to span rank of maximal ideal of `R`.
This would be useful when dealing with regular local ring and quotient within `m^2`.
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|
t-ring-theory |
52/0 |
Mathlib/Algebra/Module/SpanRankOperations.lean,Mathlib/RingTheory/Ideal/Cotangent.lean,Mathlib/RingTheory/LocalRing/ResidueField/Basic.lean |
3 |
4 |
['github-actions', 'riccardobrasca'] |
joneugster assignee:joneugster |
0-41282 11 hours ago |
84-37986 84 days ago |
84-37973 84 days |
| 41486 |
TTony2019 author:TTony2019 |
feat(Analysis/Convex/Intrinsic): add open segment intrinsic interior results |
Add open segment intrinsic interior results: `x ∈ intrinsicInterior 𝕜 C` and `y ∈ intrinsicClosure 𝕜 C`, then the open segment
from `x` to `y` stays in `intrinsicInterior 𝕜 C`.
Co-authored-by: Zichen Wang <imathwy@users.noreply.github.com> |
t-topology
new-contributor
t-analysis
|
70/0 |
Mathlib/Analysis/Convex/Intrinsic.lean,Mathlib/Analysis/Convex/Topology.lean,Mathlib/Topology/Algebra/Module/Basic.lean,Mathlib/Topology/Homeomorph/Defs.lean |
4 |
7 |
['TTony2019', 'github-actions', 'j-loreaux'] |
nobody |
0-41000 11 hours ago |
17-16212 17 days ago |
45-25831 45 days |
| 40616 |
kim-em author:kim-em |
feat(AlgebraicGeometry/Group): add Jacobian blueprint via def_wanted/theorem_wanted |
This PR adds a blueprint of the Jacobian of a smooth, proper, geometrically irreducible curve over a field, expressed entirely through the new `def_wanted` / `theorem_wanted` / `instance_wanted` placeholder declarations. Each dependency between the wanted declarations is recorded through the `❰…❱` bracket syntax, so the placeholder types can refer to each other, without polluting the environment with `sorry` or `axiom`.
The file is adapted from Christian Merten's `JacobianChallenge.lean` in the lean-eval repository.
I hope that we will consider this as a way of "pre-reviewing" design level work for Mathlib. It should encourage contributors to fill in details, and they will know that the implementation work is desirable. It should allow us to speed up review, as if the characterisation in the design PR has already been approved it is relatively easier (or at least, a narrower problem) to review an implementation PR.
🤖 Prepared with Claude Code |
t-algebraic-geometry |
94/0 |
Mathlib.lean,Mathlib/AlgebraicGeometry/Group/Jacobian.lean |
2 |
4 |
['github-actions', 'mathlib-merge-conflicts', 'riccardobrasca'] |
riccardobrasca assignee:riccardobrasca |
0-39037 10 hours ago |
0-56521 15 hours ago |
37-27124 37 days |
| 38319 |
Zetetic-Dhruv author:Zetetic-Dhruv |
feat(Combinatorics/SetFamily): Assouad's dual VC bound |
Adds the Finset-level form of Assouad's 1983 dual VC bound: if a family
`𝒜 : Finset (Finset α)` has VC dimension at most `d`, then for any
ground set `X : Finset α` the dual family
`{𝒜.filter (· ∋ x) : x ∈ X}` has VC dimension at most `2 ^ (d + 1) - 1`.
New declarations (in `Finset` namespace):
- `dualFamily 𝒜 X`: for each `x ∈ X`, the subfamily `{A ∈ 𝒜 | x ∈ A}`
- `mem_dualFamily` (`@[simp]`): membership characterisation
- `exists_shatters_of_dualFamily_shatters`: Assouad's bitstring-coding lemma
- `vcDim_dualFamily_le`: the headline VC bound
Proof by Assouad's classical bitstring-coding argument. Sits on top of `Finset.shatterer` / `Finset.vcDim` from
`Mathlib.Combinatorics.SetFamily.Shatter`.
References:
- P. Assouad, Densite et dimension, Ann. Inst. Fourier 33(3) (1983), Thm 2.13
- J. Matousek, Lectures on Discrete Geometry, GTM 212, Springer, 2002, Section 10.3 Lemma 10.3.3
---
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|
t-combinatorics
new-contributor
maintainer-merge
|
199/0 |
Mathlib.lean,Mathlib/Combinatorics/SetFamily/DualVC.lean,docs/references.bib |
3 |
47 |
['Shreyas4991', 'YaelDillies', 'Zetetic-Dhruv', 'github-actions'] |
nobody |
0-37933 10 hours ago |
109-6775 109 days ago |
125-53811 125 days |
| 42195 |
Jun2M author:Jun2M |
refactor(Order/Partition): remove the support index from `Partition` |
Redefine `Partition α` as an independent collection of pairwise disjoint, nonempty sets, with its support available as `P.supp`.
Previously, `Partition s` carried its support as a type index. This made partitions of different sets inhabit different types and forced otherwise natural operations to transport partitions across support equalities.
BREAKING CHANGE: Replace the indexed type `Partition s` with `Partition α`, and obtain the former index from `P.supp`. When constructing a partition, omit the proof that the parts cover a prescribed set. `Partition.copy` and `Partition.partscopyEquiv` are no longer needed. Import the relevant `Mathlib.Order.Partition` submodule when using APIs moved out of `Basic`.
Deletions:
- Partition.copy
- Partition.mem_copy_iff
- Partition.partscopyEquiv
It also introduces some new definitions: `induce` & `bind`. These are added in this PR as they are needed to keep `SemiLattice` instance on `Partition`.
A new file `Set.lean` now houses defs and theorems of `Partition (Set _)`, including `IsRepFun` previously in `Basic` file.
This PR is partially generated by AI: Partition API written by myself in [Matroid repo](https://github.com/apnelson1/Matroid) has be adapted using codex and final checked by myself.
Co-authored-by: OpenAI Codex <codex@openai.com>
---
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|
t-order |
611/406 |
Mathlib.lean,Mathlib/Order/Partition/Basic.lean,Mathlib/Order/Partition/Set.lean,Mathlib/Order/SupIndep.lean |
4 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
0-28348 7 hours ago |
0-28092 7 hours ago |
12-57429 12 days |
| 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 |
21 |
['Robertboy18', 'SnirBroshi', 'copilot-pull-request-reviewer', 'eric-wieser', 'github-actions', 'wwylele'] |
eric-wieser assignee:eric-wieser |
0-23583 6 hours ago |
8-2352 8 days ago |
16-74652 16 days |
| 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
|
271/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/EdgeColoring.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/KempeChain.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/KempeChain/Basic.lean |
4 |
3 |
['SnirBroshi', 'github-actions'] |
nobody |
0-23268 6 hours ago |
0-47522 13 hours ago |
0-47605 13 hours |
| 37848 |
rwst author:rwst |
feat(RingTheory/PowerSeries/Log): log and exp as inverses |
This adds the lemmas `exp_subst_log` and `log_subst_exp_sub_one`, together with two helpers needed for the proofs.
Note: I'm using Claude + Opus for supervised formalization tasks. Claude has no permission to use git on my machine.
- [x] depends on: #40571
---
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|
t-ring-theory
LLM-generated
|
81/0 |
Mathlib/RingTheory/PowerSeries/Log.lean,Mathlib/RingTheory/PowerSeries/Substitution.lean |
2 |
29 |
['chrisflav', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'riccardobrasca', 'rwst', 'yuanyi-350'] |
riccardobrasca assignee:riccardobrasca |
0-22594 6 hours ago |
0-50749 14 hours ago |
128-58833 128 days |
| 42972 |
EtienneC30 author:EtienneC30 |
feat: the Dirac measure and Measure.real |
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|
t-measure-probability |
10/0 |
Mathlib/MeasureTheory/Measure/Dirac/Def.lean |
1 |
1 |
['github-actions'] |
urkud assignee:urkud |
0-21232 5 hours ago |
0-21815 6 hours ago |
6-42060 6 days |
| 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 |
85/115 |
Mathlib/Probability/Distributions/Uniform.lean |
1 |
1 |
['github-actions'] |
nobody |
0-19901 5 hours ago |
0-20120 5 hours ago |
8-17786 8 days |
| 43120 |
SnirBroshi author:SnirBroshi |
feat(Logic/Function/Const): subsingleton range and injective lemmas |
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|
t-logic |
16/0 |
Mathlib/Logic/Function/Const.lean |
1 |
3 |
['SnirBroshi', 'github-actions', 'plp127'] |
nobody |
0-19497 5 hours ago |
0-59529 16 hours ago |
0-59516 16 hours |
| 43125 |
SnirBroshi author:SnirBroshi |
fix(Data/Set/Card): `Injective.encard_range` is an equality |
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|
t-data |
1/1 |
Mathlib/Data/Set/Card.lean |
1 |
1 |
['felixpernegger', 'github-actions'] |
nobody |
0-19160 5 hours ago |
0-50359 13 hours ago |
0-50346 13 hours |
| 40309 |
jjdishere author:jjdishere |
feat(IsValuativeTopology/Normed): `Normed` to `IsValuativeTopology` |
### Main description
The goal of this PR is to prepare APIs for creating `ValuativeRel`, `IsValuativeTopology`, ... instances when a `NormedField` is given, similar to `NormedField.toValued`.
### Entry point for reviewing
In file `Mathlib.Topology.Algebra.ValuativeRel.Normed`, we define `NormedField.toValuativeRel`, `NormedField.isValuativeTopology` and `IsValuativeTopology.toNormedField`.
### Backgrounds
This is part of a series of PRs, with the final goal of removing the class `Valued` from Mathlib.
A `Valued` instance will be replaced by `[ValuativeRel R] [UniformSpace R] [IsValuativeTopology R] [IsUniformAddGroup R] (v : Valuation R A) [v.Compatible]`.
Currently in Mathlib, there are three main ways of creating a `Valued` instance, we generalize them to create `ValuativeRel` and `IsValuativeTopology`.
1. `Valued.mk'` (`ValuativeRel.ofValuation` already in mathlib, ValuativeRel.uniformSpace in #36532)
2. `Valued.valuedCompletion` (#36769)
3. `NormedField.toValued` (This PR)
Some uniform space structures induced by `ValuativeRel` in this PR cannot be made into instances immediately, since they would cause diamonds with `Valued`. However, they will become instances in the final PR removing `Valued`.
### More about the whole refactor plan:
1. Copy APIs that take `Valued` as input and make them accept input `[ValuativeRel R] [UniformSpace R] [IsValuativeTopology R] [IsUniformAddGroup R] (v : Valuation R A) [v.Compatible]`.
- [x] #36532
2. For every API that introduces a `Valued` instance, copy that API and make it create `[ValuativeRel R] [UniformSpace R] [IsValuativeTopology R] [IsUniformAddGroup R]` instances. And for every instance that currently exists in Mathlib, create the above series of instances as much as possible without introducing diamonds.
More specifically, currently in Mathlib, there are three main ways of creating a `Valued` instance:
- `Valued.mk'`
- `Valued.valuedCompletion`
- `NormedField.toValued`
For each of these we create APIs to create the above series of instances.
- [x] #36777 [Generalize the definition of `IsValuativeTopology` to non comm rings]
- [ ] #36769 [`ValuativeRel` on completion]
- [ ] This PR.
For each of these we create APIs to create the above series of instances.
3. A big PR deprecating the `Valued` class using 1 and 2.
---
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|
t-ring-theory
t-topology
LLM-generated
|
321/30 |
Mathlib.lean,Mathlib/Data/NNReal/Defs.lean,Mathlib/Topology/Algebra/ValuativeRel/Normed.lean,Mathlib/Topology/Algebra/Valued/NormedValued.lean |
4 |
4 |
['faenuccio', 'github-actions', 'jjdishere', 'riccardobrasca'] |
nobody |
0-19012 5 hours ago |
3-34306 3 days ago |
3-35572 3 days |
| 42566 |
tb65536 author:tb65536 |
feat(Analysis/Normed/Ring/WithAbs): add `AbsoluteValue.under` |
This PR adds `AbsoluteValue.under`. This is in preparation for general ramification theory of absolute values.
---
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|
t-ring-theory
t-algebra
t-number-theory
t-analysis
label:t-algebra$ |
24/8 |
Mathlib/Analysis/Normed/Ring/WithAbs.lean,Mathlib/NumberTheory/NumberField/Completion/Ramification.lean,Mathlib/NumberTheory/NumberField/InfinitePlace/Ramification.lean |
3 |
2 |
['github-actions', 'riccardobrasca'] |
riccardobrasca assignee:riccardobrasca |
0-18668 5 hours ago |
18-54188 18 days ago |
18-54191 18 days |
| 42850 |
DavidLedvinka author:DavidLedvinka |
feat(Tactic) : `inclusion` tactic (highly extensible engine for interval arithmetic, ball arithmetic etc...) |
## Overview
The primary function of the inclusion tactic is as follows: Given an expression `e` (for example the type of a goal), compute an inclusion expression for `e`:
(In `Inclusion/Core/Types`)
```lean
structure ExprInclusion where
inclusion : Expr
proof : Expr
```
where `inclusion` is some expression that is built up of some kernel computation friendly expressions in some kernel computation friendly type, and `proof` is a proof of `e ∈ inclusion`.
Since `inclusion` itself is meant to live in some kernel computation friendly type, we need a way to interpret `inclusion` as a set in the type of `e`. That is the idea behind the following class :
(In `Inclusion/Core/ToSet`)
```lean
class ToSet (Iα : Type*) (α : outParam Type*) where
toSet : Iα → Set α
```
Examples can be things like "intervals with dyadic endpoints" to sets of `ℝ`, "vectors of intervals of dyadic endpoints" to sets of `ℝⁿ`, "balls with a dyadic complex center and dyadic radius" to sets of `ℂ` etc...
The most important example however is `IntervalBool` to `Prop`:
```lean
def IntervalBool.toPropSet : IntervalBool → Set Prop
| true => {True}
| false => {False}
| undetermined => {True, False}
instance : ToSet IntervalBool Prop := ⟨IntervalBool.toPropSet⟩
```
Using this, the tactic can generate an inclusion expression for a goal like `x ^ 2 + 1 < 5`, and then
the proof of the goal is `proof` that `(x ^2 + 1 < 5) ∈ inclusion` along with a proof by reflection
that `inclusion = IntervalBool.true`.
## Constructing `ExprInclusion`s
`ExprInclusion`s are constructed in two phases which take place inside two different monads. The first phase takes place in the `InclusionM` monad and is to construct an inclusion body:
(In `Inclusion/Core/Types`)
```lean
structure ExprInclusionBody where
inclusionBody : Expr
proofBody : Expr
```
which is the same as `ExprInclusion` except that `inclusionBody` is allowed to have "free `IVar`s (inclusion variables)" (see the structure `IVar` in `Inclusion/Core/Types`) which represent "atomic" variables whose initial value will be determined by hypotheses in the local context (in the next phase). As an example, if we are applying the `inclusion` tactic to the goal `(x : ℝ) + 1 ≤ 5` then (depending on which extensions we have enabled) we might have that `x` is made into an `IVar`, which contains the expression of a placeholder variable `I` (which could be of type `Interval Dyadic` for example) and a placeholder hypothesis `x ∈ I`. For technical reasons these variables are synthetic opaque metavariables rather than free variables.
Remark: The technical reason that `IVar`s use synthetic opaque metavariables is that metavariables
are stored in the state of MetaM and are mutable. Free variables are stored in the local context
and are not mutable. Since the tactic constructs `IVar`s during the `InclusionM` phase and doesn't
know how many `IVars` there are or what they will be, it makes it difficult to use free variables.
The `InclusionM` phase uses inclusion extensions:
(In `Inclusion/Core/Extensions`)
```lean
structure InclusionExt where
declName : Name := by exact decl_name%
family : Name
userName : Name := declName
derive (e : Expr) : InclusionM ExprInclusionBody
priority : Nat := eval_prio default
```
which belong to families (for example `interval_dyadic_real` containing extensions involving computations as intervals of dyadics as inclusions for operations on the reals) and are registered under discrimination tree keys which determine which expressions they match on (and thus can possibly apply to).
The main driver of this phase is the function `mkExprInclusionBody` (in`Inclusion/Core/Inclusion`) which collects all the extensions (from enabled families) that match the current expression `e`, sort them in order of priority, and then try applying their `derive` to `e` until one succeeds in producing an `ExprInclusionBody`. The expectation is that if `derive e` succeeds it should produce a valid `ExprInclusionBody` for `e` and the metadata in the InclusionM monad should be up to date. Many `derive`s will recursively call `mkExprInclusionBody`, for example you would expect that the extension which matches `e := e1 ≤ e2` will call `mkExprInclusionBody` on `e1` and `e2` and then combine the results to produce the `ExprInclusionBody` for `e`.
The second phase takes place in the `HypothesisM` monad. In this phase, initial inclusion expressions
for each `IVar` appearing in the `ExprInclusionBody` (constructed in the previous phase) are derived
from hypotheses in the local context. Then these hypotheses are used to "close" the body and
construct the final `ExprInclusion`. If an `IVar` has an enabled `cover` it is used to "divide" the
inclusion computation into checks on each of the smaller pieces, effectively creating a refined
inclusion function.
This phase uses hypothesis extensions:
(In `Inclusion/Core/Extensions`)
```lean
structure HypothesisExt where
declName : Name := by exact decl_name%
family : Name
userName : Name := declName
derive (h : Expr) : HypothesisM Unit
priority : Nat := eval_prio default
```
which also belong to families and are registered under discrimination tree keys just like
`InclusionExt`s. Here though `derive h` generates inclusion hypotheses from a local hypotheses `h`
and puts them into the state of HypothesisM. The main driver for this phase is `collectHyps` (in `Inclusion/Core/Inclusion`) which loops over all local declarations `h`, finds all hypothesis
extensions matching the type of `h`, and then tries each of their `derive` functions. The changes
made by a failed extension are rolled back, while every successful extension is allowed to add one or more inclusion hypotheses.
## Params
It is convenient to allow `InclusionExt`s and `HypothesisExt`s to depend on shared parameters
which can be set by the user:
(In `Inclusion/Core/Extensions`)
```lean
structure InclusionParamDecl where
name : Name
type : Expr
defaultValue? : Option Expr := none
```
The two examples in the current PR are:
`prec`: which sets the dyadic precision (in bits) that each extension should use
`binSplit`: which sets the depth of binary interval splitting for each `IVar`.
These can be set by the user when calling the tactic like:
`inclusion [core, interval_dyadic_real, prec := 20, binSplit := 3]`
Two additional features which are not present in the current PR
(and will require a bit of refactoring) which will be added later are:
1. The ability to set "local" params. An important example being you may only want to set
binary splitting on one specific variable (since doing it on each grows the number of cases
exponentially)
2. The ability for `inclusion?` to "search" for optimal parameters using a compiled `ExprInclusion`
function. To be maximally efficient these will have to be restricted to specific types (maybe
just Nats) so that the function can be compiled once and used repeatedly.
## Writing Extensions
One can directly write inclusion and hypotheses extensions like:
```lean
@[inclusionExt (_ : ℝ)]
meta def mkRealIVar : InclusionExt :=
mkNDIVarExt `interval_dyadic_real
⟨q(ℝ), q(Interval Dyadic), q(instToSetIntervalDyadicReal)⟩ mkBinarySplitCover
```
```lean
@[hypothesisExt _ ∧ _]
meta def andHyp : HypothesisExt where
family := `core
derive h := do
let (``And, #[_, _]) := (← instantiateMVars (← inferType h)).getAppFnArgs | failure
runHypothesisExts (← mkAppM ``And.left #[h])
runHypothesisExts (← mkAppM ``And.right #[h])
```
where each expression supplied to `inclusionExt` or `hypothesisExt` is elaborated and then converted
into a DiscrTreeKey that the extension matches on.
However it is up to the extender to make sure both that the extension is deriving the right
inclusion body or hypotheses and is correctly maintaining the state of the current monad. This
approach to writing extensions gives significant flexibility but also could be highly error prone.
Just like MetaM has both lots of low level functions that are capable of breaking things and should usually be avoided, as well as higher level functions that are meant to be safer for tactic writers
to use, `Inclusion/ExtensionAPI` is meant to provide functions that extenders can use which maintain
the invariants expected by the `InclusionM` or `HypothesisM` monad. Most of these are currently
in `Inclusion/ExtensionAPI/Basic`. I expect many more to be added as the tactic develops.
The rules for `InclusionM` are:
* When an `InclusionExt` succeeds on an expression `e`, it must return an `ExprInclusionBody` whose
`proofBody` proves `e ∈ inclusionBody` using a `ToSet` instance.
* Every inclusion-variable placeholder in the returned body must belong to an `IVar` registered in
`InclusionM.State`. Its `setVar` must have the registered set type, and its `hypVar` must prove
that its associated expression belongs to `setVar` using the registered `ToSet` instance.
* Every registered `IVar` must be well formed in the initial local context. If it has a cover, the
cover expression must have the corresponding `Cover` type.
* The returned body must not depend on untracked metavariables or temporary free variables
introduced while running the extension.
The rules for `HypothesisM` are:
* Every inclusion hypothesis added by a `HypothesisExt` must be associated with an existing `IVar`.
* Each added `ExprInclusionBody` must have the same element type, set type, and `ToSet` instance as
that `IVar`. Its `proofBody` must prove that the associated expression belongs to its
`inclusionBody`.
* An added `inclusionBody` must not contain unresolved inclusion-variable placeholders.
But for certain `InclusionExt`s or `HypothesisExt`s that fit a (very specific) mold, there is an
API for defining extensions that doesn't even require metaprogramming. Instead you add a attribute
to a theorem which must be formatted in a specific way. We give these a special name
`InclusionOp`s and `HypothesisOp`s. Here are some examples:
```lean
@[inclusionOp interval_dyadic_real]
theorem add_mem {x y : ℝ} {I J : Interval Dyadic} (hx : x ∈ I) (hy : y ∈ J) :
x + y ∈ I.add J :=
Interval.add_mem Dyadic.toRealAddMonoidHom hx hy
```
```lean
@[hypothesisOp interval_dyadic_real]
theorem Iic_mem_of_le {x y : ℝ} {I : Interval Dyadic} (hxy : x ≤ y) (hy : y ∈ I) :
x ∈ Interval.Iic I.ub :=
Interval.mem_Iic_of_le hxy hy
```
The rules for `InclusionOp`s are:
* The theorem must conclude with an inclusion `e ∈ I` using a `ToSet` instance. The expression
`e` becomes the discrimination-tree pattern, while `I` becomes the resulting inclusion body.
* Every hypothesis of the form `x ∈ X` using a `ToSet` instance is treated as a recursive input.
Both `x` and `X` must be theorem variables, and `x` must occur in `e`. The generated extension
recursively constructs an inclusion body for `x`, then substitutes its inclusion and proof for
`X` and the hypothesis.
* To use a registered inclusion parameter, the theorem must have an argument with the same name and
type as that parameter. The generated extension supplies its current value. The parameter may
occur in `I`, but it may not occur in `e`.
* All remaining theorem arguments must be determined by matching the theorem or by typeclass
synthesis.
The rules for `HypothesisOp`s are:
* The theorem must conclude with an inclusion `e ∈ I` using a `ToSet` instance.
* The theorem must have exactly one explicit proposition hypothesis which is not itself an inclusion.
This hypothesis is the source hypothesis, and its type becomes the discrimination-tree pattern. Its
proof may not occur in `e` or `I`.
* Every hypothesis of the form `x ∈ X` using a `ToSet` instance is treated as a recursive input.
Both `x` and `X` must be theorem variables, and `x` must occur in the source hypothesis. The
generated extension recursively constructs a closed inclusion body for `x`, then substitutes its
inclusion and proof for `X` and the hypothesis.
* When the generated extension runs, `e` must be the expression associated with an existing `IVar`.
The extension adds `I` as an inclusion hypothesis for that `IVar`.
* To use a registered inclusion parameter, the theorem must have an argument with the same name and
type as that parameter. The generated extension supplies its current value. The parameter may
occur in `I`, but it may not occur in the source hypothesis or `e`.
* All remaining theorem arguments must be determined by matching the theorem or by typeclass
synthesis.
|
t-meta |
2885/35 |
Mathlib.lean,Mathlib/Data/Dyadic.lean,Mathlib/Init.lean,Mathlib/Lean/Meta/DiscrTreeExt.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Inclusion/Core/Core.lean,Mathlib/Tactic/Inclusion/Core/Elab.lean,Mathlib/Tactic/Inclusion/Core/Expr.lean,Mathlib/Tactic/Inclusion/Core/Extensions.lean,Mathlib/Tactic/Inclusion/Core/Inclusion.lean,Mathlib/Tactic/Inclusion/Core/ToSet.lean,Mathlib/Tactic/Inclusion/Core/Types.lean,Mathlib/Tactic/Inclusion/Extension/Core/Core.lean,Mathlib/Tactic/Inclusion/Extension/Core/Init.lean,Mathlib/Tactic/Inclusion/Extension/Interval.lean,Mathlib/Tactic/Inclusion/Extension/IntervalDyadicReal/Basic.lean,Mathlib/Tactic/Inclusion/Extension/IntervalDyadicReal/BinarySplit.lean,Mathlib/Tactic/Inclusion/Extension/IntervalDyadicReal/Hypotheses.lean,Mathlib/Tactic/Inclusion/Extension/IntervalDyadicReal/Init.lean,Mathlib/Tactic/Inclusion/Extension/IntervalDyadicReal/Rational.lean,Mathlib/Tactic/Inclusion/Extension/IntervalDyadicReal/Tactic.lean,Mathlib/Tactic/Inclusion/ExtensionAPI/Attr.lean,Mathlib/Tactic/Inclusion/ExtensionAPI/Basic.lean,Mathlib/Tactic/Linter/DeprecatedSyntaxLinter.lean,MathlibTest/Linter/DeprecatedSyntax.lean,MathlibTest/Tactic/Inclusion/Basic.lean,MathlibTest/Tactic/Inclusion/NativeLinter.lean |
27 |
1 |
['github-actions'] |
Vierkantor assignee:Vierkantor |
0-18574 5 hours ago |
0-69270 19 hours ago |
0-69257 19 hours |
| 41132 |
owenpkent author:owenpkent |
feat(Analysis/SpecialFunctions/Gamma/Digamma): iterated recurrence, harmonic-number values, and duplication for digamma |
This PR adds standard identities for `Complex.digamma` to `Mathlib/Analysis/SpecialFunctions/Gamma/Digamma.lean`:
- the iterated recurrence `digamma (s + n) = digamma s + ∑ k ∈ Finset.range n, (s + k)⁻¹` (`digamma_apply_add_nat`),
- the value at positive integers in terms of harmonic numbers, `digamma (n + 1) = harmonic n - eulerMascheroniConstant` (`digamma_nat_add_one`, added at review request),
- the duplication (doubling) formula `digamma (2 * s) = (1 / 2) * (digamma s + digamma (s + 1 / 2)) + log 2` (`digamma_two_mul`),
- a public helper `HasDerivAt.logDeriv_Gamma` (the logarithmic derivative of `Gamma ∘ g`), used twice by the duplication proof.
These are the natural digamma companions to results already in Mathlib: the single-step recurrence `Complex.digamma_apply_add_one` (the iterated form is its finite-induction closure) and the Legendre duplication formula `Complex.Gamma_mul_Gamma_add_half` (the digamma duplication is its logarithmic derivative).
Note: this PR originally also contained the digamma reflection formula; that was superseded by `Complex.digamma_one_sub` (#42349, now merged), whose proof is better, and the corresponding theorem has been dropped here in the master merge. The remaining results build cleanly on top of it.
The proofs use only existing Mathlib API. `#print axioms` for each new theorem is exactly `[propext, Classical.choice, Quot.sound]`.
---
**AI use disclosure** (per Mathlib's contribution guidelines): these identities were formalized in a personal research project with the help of an AI coding agent (Claude Code). The agent assisted in developing the original proofs and in porting them onto current Mathlib master. The underlying results are standard and the proofs use only existing Mathlib API. I have reviewed and understand the proofs, take responsibility for the content, and will respond to review in my own words.
|
t-analysis
new-contributor
LLM-generated
|
77/0 |
Mathlib/Analysis/SpecialFunctions/Gamma/Digamma.lean |
1 |
28 |
['SnirBroshi', 'github-actions', 'j-loreaux', 'mathlib-merge-conflicts', 'owenpkent'] |
j-loreaux assignee:j-loreaux |
0-18279 5 hours ago |
0-19867 5 hours ago |
23-28840 23 days |
| 43137 |
felixpernegger author:felixpernegger |
feat(Topology): left inverses of inducing maps are embeddings |
---
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- ...
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- Nat.bit1_add_bit1
- ...
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|
t-topology |
7/0 |
Mathlib/Topology/Maps/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
0-17458 4 hours ago |
0-19256 5 hours ago |
0-19243 5 hours |
| 40496 |
thefundamentaltheor3m author:thefundamentaltheor3m |
feat(LinearAlgebra/AffineSpace/Simplex): the surface of a simplex |
I wrote the definition myself, and got Claude to generate some of the boilerplate code (which I then reviewed and had it clean up).
---
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|
t-algebra
LLM-generated
new-contributor
label:t-algebra$ |
97/5 |
Mathlib/LinearAlgebra/AffineSpace/Simplex/Basic.lean |
1 |
8 |
['github-actions', 'grunweg', 'mathlib-bors', 'mathlib-merge-conflicts', 'thefundamentaltheor3m', 'wwylele'] |
nobody |
0-16835 4 hours ago |
20-41947 20 days ago |
33-71354 33 days |
| 43061 |
thomaskwaring author:thomaskwaring |
feat(GroupTheory): results on normal subgroups of nilpotent groups |
We prove that every nontrivial normal subgroup of a nilpotent group intersects the center nontrivially (`Group.IsNilpotent.inf_center_ne_bot_of_normal`) and that finite nilpotent groups have normal subgroups of every possible order (`Group.IsNilpotent.exists_normal_of_dvd_card`).
---
[](https://gitpod.io/from-referrer/)
|
t-group-theory
maintainer-merge
|
61/4 |
Mathlib/GroupTheory/Nilpotent.lean,Mathlib/GroupTheory/Subgroup/Center.lean |
2 |
23 |
['acmepjz', 'github-actions', 'tb65536', 'thomaskwaring'] |
nobody |
0-15521 4 hours ago |
0-23331 6 hours ago |
3-21030 3 days |
| 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
|
58/0 |
Mathlib/RingTheory/Nilpotent/Basic.lean |
1 |
26 |
['github-actions', 'sankalpsthakur', 'tb65536'] |
nobody |
0-15493 4 hours ago |
0-58543 16 hours ago |
6-66318 6 days |
| 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 |
0-14375 3 hours ago |
0-14912 4 hours ago |
3-21701 3 days |
| 43071 |
thomaskwaring author:thomaskwaring |
feat(GroupTheory/Nilpotent): elements with coprime orders commute |
In a nilpotent group, elements with (finite) coprime order commute.
---
[](https://gitpod.io/from-referrer/)
|
t-group-theory |
32/0 |
Mathlib/GroupTheory/Commutator/Basic.lean,Mathlib/GroupTheory/Nilpotent.lean |
2 |
9 |
['github-actions', 'mathlib-bors', 'tb65536', 'thomaskwaring'] |
nobody |
0-12892 3 hours ago |
0-83522 23 hours ago |
3-4059 3 days |
| 43103 |
joelriou author:joelriou |
chore(Algebra/Homology): unexpose `HomologicalComplexUpToQuasiIso.Qh` |
The consequence is that the natural isomorphism `HomotopyCategory.quotient C (ComplexShape.up ℤ) ⋙ DerivedCategory.Qh ≅ DerivedCategory.Q` is no longer `Iso.refl _`, which prevents "abuse" of defeq in the syntax. At the same time, this allows to get better definitional properties for `DerivedCategory.singleFunctor`.
---
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|
t-category-theory
tech debt
|
66/94 |
Mathlib/Algebra/Homology/DerivedCategory/Basic.lean,Mathlib/Algebra/Homology/DerivedCategory/DerivabilityStructureInjectives.lean,Mathlib/Algebra/Homology/DerivedCategory/Ext/ExtClass.lean,Mathlib/Algebra/Homology/DerivedCategory/Ext/Map.lean,Mathlib/Algebra/Homology/DerivedCategory/Fractions.lean,Mathlib/Algebra/Homology/DerivedCategory/Linear.lean,Mathlib/Algebra/Homology/DerivedCategory/Plus.lean,Mathlib/Algebra/Homology/DerivedCategory/SingleTriangle.lean,Mathlib/Algebra/Homology/HomotopyCategory/SingleFunctors.lean,Mathlib/Algebra/Homology/Localization.lean,Mathlib/Algebra/Homology/ShortComplex/Basic.lean,Mathlib/CategoryTheory/Shift/SingleFunctors.lean |
12 |
2 |
['github-actions', 'joelriou'] |
nobody |
0-12433 3 hours ago |
1-41639 1 day ago |
1-41627 1 day |
| 42626 |
mkaratarakis author:mkaratarakis |
feat(Analysis/Matrix): operator norm and spectral radius of row-stochastic matrices |
Operator-norm and spectral-radius bounds for row-stochastic matrices: ‖A *ᵥ v‖ ≤ ‖v‖, ‖A‖ ≤ 1, and spectralRadius ℝ A ≤ These need Analysis imports, so they go in a new file rather than in `LinearAlgebra/Matrix/Stochastic.lean`.More material on stochastic matrices will follow here. Split off from #39914.
---
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@or4nge19
|
t-analysis |
52/1 |
Mathlib.lean,Mathlib/Analysis/Matrix/Stochastic.lean,Mathlib/LinearAlgebra/Matrix/Stochastic.lean |
3 |
10 |
['eric-wieser', 'github-actions', 'j-loreaux', 'mkaratarakis', 'tb65536'] |
nobody |
0-11724 3 hours ago |
1-32358 1 day ago |
3-55146 3 days |
| 43065 |
yuanyi-350 author:yuanyi-350 |
feat(LinearAlgebra/Matrix): add Sylvester's rank inequality |
|
t-algebra
large-import
label:t-algebra$ |
27/5 |
Mathlib/LinearAlgebra/FiniteDimensional/Lemmas.lean,Mathlib/LinearAlgebra/Matrix/Rank.lean |
2 |
2 |
['github-actions', 'tb65536'] |
nobody |
0-11516 3 hours ago |
3-32657 3 days ago |
3-32644 3 days |
| 43141 |
j-loreaux author:j-loreaux |
refactor: allow non-unital normed rings in `HasSummableGeomSeries` |
---
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|
large-import
t-analysis
|
140/25 |
Mathlib/Analysis/SpecificLimits/Normed.lean |
1 |
4 |
['github-actions', 'j-loreaux', 'themathqueen'] |
nobody |
0-10053 2 hours ago |
0-12254 3 hours ago |
0-12572 3 hours |
| 42682 |
TJHeeringa author:TJHeeringa |
feat(Analysis/InnerProductSpace/Reproducing): add outerKernel |
This PR adds the kernel generated from a function `f : X → V` with the rank-one operators `⟪f x, •⟫ f y` as its entries.
---
#38584 has been split up into parts. This is one of these.
This added kernel is a reprequisite for many results, e.g. like embeddings and inclusions in the ambient submodule.
This PR doesn't show that the RKHS induced by the kernel is isometrically isomorphic to `𝕜 ∙ f`, the span of `f`. This is left for a later PR.
An argument can be made to call this a `featureKernel` instead of a `outerKernel`. The latter was chosen because the entries of the kernel are in finite dimensions an outer product of `f x` and `f y`. The former is also a valid name because the function `f` is often referred to as a feature in this context and thus the name would represent "the kernel generated from the feature `f`".
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|
t-analysis |
53/3 |
Mathlib/Algebra/BigOperators/Finsupp/Basic.lean,Mathlib/Analysis/InnerProductSpace/Reproducing.lean |
2 |
17 |
['Maldooor', 'TJHeeringa', 'YaelDillies', 'github-actions', 'mathlib-merge-conflicts', 'themathqueen'] |
nobody |
0-9045 2 hours ago |
1-12394 1 day ago |
13-82371 13 days |
| 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'] |
nobody |
0-9025 2 hours ago |
0-14171 3 hours ago |
0-14158 3 hours |
| 39953 |
plp127 author:plp127 |
feat(RingTheory/Valuation): embedding of valuation groups |
We show that if `vR` and `vA` are valuations satisfying `vR.HasExtension vA`, then there is an induced embedding of the valuation groups compatible with the valuations and with the extension.
---
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|
t-ring-theory |
107/1 |
Mathlib/Algebra/Group/WithOne/Defs.lean,Mathlib/RingTheory/Valuation/Extension.lean |
2 |
13 |
['faenuccio', 'github-actions', 'plp127', 'riccardobrasca'] |
riccardobrasca assignee:riccardobrasca |
0-7651 2 hours ago |
0-10082 2 hours ago |
90-59780 90 days |
| 42901 |
grunweg author:grunweg |
doc: remove suggestion of self-introduction from new contributor welcome comment |
I'm not sure we always want to encourage this (and it's mostly not followed in practice anyway).
---
- [x] depends on: #42900
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[](https://gitpod.io/from-referrer/)
|
RFC
CI
maintainer-merge
|
1/2 |
.github/workflows/label_new_contributor.yml |
1 |
7 |
['Vierkantor', 'github-actions', 'grunweg', 'j-loreaux', 'joneugster', 'mathlib-dependent-issues'] |
joneugster assignee:joneugster |
0-6997 1 hour ago |
7-38237 7 days ago |
7-39091 7 days |
| 42210 |
seewoo5 author:seewoo5 |
feat(NumberTheory/ModularForms): `E₂` is 1-periodic |
Add `E2_T_transform`, `E2_T_smul` and `E2_periodic`. Used in Sphere packing project; written with Claude Opus 5.
---
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[](https://gitpod.io/from-referrer/)
|
t-number-theory
LLM-generated
sphere-packing
maintainer-merge
|
30/10 |
Mathlib/Analysis/Complex/UpperHalfPlane/Topology.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/E2/Transform.lean,Mathlib/NumberTheory/ModularForms/QExpansion.lean |
3 |
10 |
['MichaelStollBayreuth', 'github-actions', 'loefflerd', 'seewoo5'] |
loefflerd assignee:loefflerd |
0-6514 1 hour ago |
28-77311 28 days ago |
28-77298 28 days |
| 39829 |
or4nge19 author:or4nge19 |
feat(LinearAlgebra): basis flag lemmas and genEigenspace map |
Part 1/3 of #39139.
Introduces basis flag lemmas and intertwining `genEigenspace` map, using directly available constructors, ie introducing none (so improving on #39139)
Co-authored-by: [kuotsanhsu](https://github.com/kuotsanhsu) [learningstud@gmail.com](mailto:learningstud@gmail.com)
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
large-import
label:t-algebra$ |
59/3 |
Mathlib/LinearAlgebra/Basis/Flag.lean,Mathlib/LinearAlgebra/Eigenspace/Basic.lean |
2 |
5 |
['github-actions', 'or4nge19', 'themathqueen'] |
themathqueen assignee:themathqueen |
0-5860 1 hour ago |
0-6533 1 hour ago |
66-14777 66 days |
| 43135 |
pepamontero author:pepamontero |
refactor(Topology/Algebra/ProperAction): weaken compactly generated hypothesis to compactly coherent |
Weaken the `CompactlyGeneratedSpace (X × X)` assumption in `properSMul_iff_isCompact_setOfPred_inter_nonempty` to `CompactlyCoherentSpace (X × X)`. This matches the note in the result's docstring, which said `CompactlyCoherentSpace` was used as the minimal hypothesis.
Other related changes:
- Change the import from `Mathlib.Topology.Compactness.CompactlyGeneratedSpace` to `Mathlib.Topology.Compactness.CompactlyCoherentSpace`.
- Delete some unnecessary spaces that were making docstrings very long.
- In `Maps/Proper/CompactlyGenerated.lean`, delete some notes that were claiming results were written to make use of `CompactlyGeneratedSpace` typecass, as they no longer use it plus they now have uses in other places in the library.
---
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[](https://gitpod.io/from-referrer/)
|
t-topology |
11/24 |
Mathlib/Topology/Algebra/ProperAction/CompactlyGenerated.lean,Mathlib/Topology/Maps/Proper/CompactlyGenerated.lean |
2 |
1 |
['github-actions'] |
nobody |
0-5610 1 hour ago |
0-26160 7 hours ago |
0-26147 7 hours |
| 41962 |
juanjomadrigal author:juanjomadrigal |
feat(Counterexamples): the space ω₁ |
Introduce the `ω₁` ordinal space that, when given the order topology, may be used to build some nice counterexamples in general topology, namely
- A subspace of a paracompact space need not be paracompact
- The product of two normal spaces need not be normal
- A subspace of a normal space need not be normal
- A regular space need not be normal
This PR introduces the basic definitions and order-theoretic properties, in order to have a good set of tools to work with.
---
Subsequent commits / PRs would roughly cover:
- Topology definitions in that space
- Compactness (and non-compactness) properties
- Countability properties
- Non-metrizability
- Each of the properties above
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-topology
|
146/0 |
Counterexamples.lean,Counterexamples/Omega1Space.lean |
2 |
68 |
['FrankieNC', 'felixpernegger', 'github-actions', 'grunweg', 'j-loreaux', 'juanjomadrigal', 'plp127', 'vihdzp'] |
nobody |
0-4087 1 hour ago |
25-46403 25 days ago |
33-70565 33 days |
| 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 |
3 |
['github-actions', 'j-loreaux', 'mathlib-merge-conflicts'] |
nobody |
0-3878 1 hour ago |
0-6033 1 hour ago |
1-66153 1 day |
| 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 |
0-2236 37 minutes ago |
0-2818 46 minutes ago |
0-2805 46 minutes |
| 43084 |
mcdoll author:mcdoll |
chore(Analysis): missing normed/inner instances for closed submodules |
---
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[](https://gitpod.io/from-referrer/)
|
t-analysis
large-import
|
59/16 |
Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Analysis/InnerProductSpace/ProdL2.lean,Mathlib/Analysis/InnerProductSpace/Projection/Basic.lean,Mathlib/Analysis/InnerProductSpace/Subspace.lean,Mathlib/Analysis/Normed/Group/Submodule.lean,Mathlib/Analysis/Normed/Module/Basic.lean,Mathlib/Geometry/Manifold/Instances/Sphere.lean |
7 |
13 |
['github-actions', 'grunweg', 'j-loreaux', 'mcdoll', 'themathqueen'] |
nobody |
0-1556 25 minutes ago |
0-1622 26 minutes ago |
1-30412 1 day |
| 43147 |
mathlib-splicebot author:mathlib-splicebot |
chore: variations of `ContinuousLinearEquiv.isOpen` |
This PR was automatically created from PR #43085 by @ADedecker via a [review comment](https://github.com/leanprover-community/mathlib4/pull/43085#discussion_r3867372317) by @ADedecker. |
t-analysis |
14/4 |
Mathlib/Analysis/Normed/Operator/BoundedLinearMaps.lean |
1 |
1 |
['github-actions'] |
nobody |
0-1123 18 minutes ago |
0-1219 20 minutes ago |
0-1206 20 minutes |
| 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$ |
96/16 |
Mathlib/Geometry/Convex/Cone/Dual.lean,Mathlib/LinearAlgebra/Dual/Lemmas.lean,Mathlib/LinearAlgebra/PerfectPairing/Basic.lean,Mathlib/LinearAlgebra/SesquilinearForm/Basic.lean |
4 |
1 |
['github-actions'] |
nobody |
0-1084 18 minutes ago |
0-3272 54 minutes ago |
0-3259 54 minutes |
| 43126 |
harahu author:harahu |
chore(Util): tidy markdown headers |
This PR ensures files in `Mathlib/Util` 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/)
|
t-meta |
13/6 |
Mathlib/Util/AliasIn.lean,Mathlib/Util/CountHeartbeats.lean,Mathlib/Util/DelabNonCanonical.lean,Mathlib/Util/DischargerAsTactic.lean,Mathlib/Util/Export.lean,Mathlib/Util/PPOptions.lean,Mathlib/Util/WhatsNew.lean |
7 |
5 |
['github-actions', 'grunweg', 'harahu'] |
nobody |
0-844 14 minutes ago |
0-49642 13 hours ago |
0-49629 13 hours |
| 34487 |
martinwintermath author:martinwintermath |
feat(LinearAlgebra/SesquilinearForm): add basic lemmas for bilinear forms |
Add basic lemmas for bilinear forms and some file cleanup.
This is an extract from and in preparation for #43143.
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|
t-algebra
new-contributor
label:t-algebra$ |
50/12 |
Mathlib/LinearAlgebra/Dual/Lemmas.lean,Mathlib/LinearAlgebra/PerfectPairing/Basic.lean,Mathlib/LinearAlgebra/SesquilinearForm/Basic.lean |
3 |
7 |
['eric-wieser', 'github-actions', 'martinwintermath', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
joelriou assignee:joelriou |
0-782 13 minutes ago |
0-7284 2 hours ago |
32-11853 32 days |
| 43146 |
mathlib-splicebot author:mathlib-splicebot |
feat: expand API around LinearMap.index |
This PR was automatically created from PR #43085 by @ADedecker via a [review comment](https://github.com/leanprover-community/mathlib4/pull/43085#discussion_r3867324825) by @ADedecker. |
t-algebra
tech debt
label:t-algebra$ |
23/11 |
Mathlib/Algebra/Module/LinearMap/Index.lean |
1 |
1 |
['github-actions'] |
nobody |
0-776 12 minutes ago |
0-1556 25 minutes ago |
0-1543 25 minutes |
| 42742 |
ADedecker author:ADedecker |
feat: the set of Fredholm operators between two Banach spaces is open |
---
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- [x] depends on: #42689
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[](https://gitpod.io/from-referrer/)
|
t-topology |
91/4 |
Mathlib.lean,Mathlib/Analysis/Normed/Operator/BoundedLinearMaps.lean,Mathlib/Analysis/Normed/Operator/Fredholm/Basic.lean,Mathlib/Analysis/Normed/Operator/Fredholm/Open.lean |
4 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
ocfnash assignee:ocfnash |
0-767 12 minutes ago |
0-2298 38 minutes ago |
0-3640 1 hour |
| 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 |
| 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 |
95-80557 3 months ago |
182-20012 182 days ago |
184-54285 184 days |
| 40329 |
no-j author:no-j |
feat(Computability): matching εNFA.Path definition with NFA.Path |
Added εNFA.Path definition that is based on `Type` instead of `Prop` to match NFA's path definition
Added εNFA.Path.supp (same definition as NFA.Path.supp)
---
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[](https://gitpod.io/from-referrer/)
|
t-computability
new-contributor
|
60/23 |
Mathlib/Computability/EpsilonNFA.lean |
1 |
3 |
['github-actions'] |
nobody |
80-46542 2 months ago |
80-47375 80 days ago |
80-47734 80 days |
| 40520 |
Julian-Kuelshammer author:Julian-Kuelshammer |
feat(CategoryTheory/Linear): linear Yoneda and coYoneda are linear |
Mathlib/CategoryTheory/Linear/Basic.lean:
Adds an instance that the opposite category of a linear category is linear.
Mathlib/CategoryTheory/Linear/Yoneda.lean:
Adds instances that the linearYoneda and linearcoYoneda are linear functors, which was a TODO before.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
large-import
|
27/2 |
Mathlib/CategoryTheory/Linear/Basic.lean,Mathlib/CategoryTheory/Linear/Yoneda.lean |
2 |
3 |
['github-actions'] |
nobody |
76-3470 2 months ago |
76-4906 76 days ago |
76-5426 76 days |
| 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 |
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'] |
nobody |
69-79912 2 months ago |
69-81962 69 days ago |
78-27197 78 days |
| 40967 |
Formalistic03 author:Formalistic03 |
feat(Combinatorics/SimpleGraph/Paths): some lemmas about inducing walks |
Could also be done via `SimpleGraph.Walk.map_induce`, but I thought that doing it directly is not much worse.
---
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|
new-contributor
t-combinatorics
|
48/0 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Maps.lean,Mathlib/Data/List/Nodup.lean |
3 |
2 |
['github-actions'] |
nobody |
60-65727 1 month ago |
64-15553 64 days ago |
64-15625 64 days |
| 40561 |
iosephusferrum author:iosephusferrum |
feat(ModelTheory): quantifier elimination for first-order theories |
This PR introduces `HasQuantifierElimination` for first-order languages, along with some standard criteria to establish it for any language that satisfies them and prerequisite formalization `mathlib4` required on elementary extension pairs (`IsElementaryExtensionPair`) and < κ-generated substructures (`CardinalLTGenerated`). It also states and proves that the first-order theory DLO (dense linear order without endpoints) has quantifier elimination (`dlo_hasQuantifierElimination`), using the newly formalized quantifier elimination criteria.
Co-authored-by: Yağız Kaan Aydoğdu <y.kaan.aydogdu@gmail.com>
Co-authored-by: Salih Erdem Koçak <saliherdemkd@gmail.com>
Advised-by: Ayhan Günaydın <ayhan.gunaydin@bogazici.edu.tr>
Advised-by: Metin Ersin Arıcan <metin.arican@bogazici.edu.tr>
---
[](https://gitpod.io/from-referrer/)
Please note that we have utilized agentic AI tools (Claude Opus, ChatGPT Codex) during the development of this PR. Most of the proofs of the major theorems are directly "translated" from human-language source material (check the diff in `references.bib`) to Lean proofs using mentioned AI tools. However, all design/formalization decisions are made by us. |
new-contributor
LLM-generated
|
976/7 |
Mathlib.lean,Mathlib/ModelTheory/Complexity.lean,Mathlib/ModelTheory/ElementaryExtensionPair.lean,Mathlib/ModelTheory/FinitelyGenerated.lean,Mathlib/ModelTheory/Order.lean,Mathlib/ModelTheory/PartialEquiv.lean,Mathlib/ModelTheory/QuantifierElimination.lean,Mathlib/ModelTheory/Semantics.lean,Mathlib/ModelTheory/Substructures.lean,Mathlib/Tactic/Linter/TextBased/UnicodeLinter.lean,docs/references.bib |
11 |
6 |
['erdkocak', 'felixpernegger', 'github-actions'] |
nobody |
60-3455 1 month ago |
75-6065 75 days ago |
75-6338 75 days |
| 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'] |
nobody |
56-83088 1 month ago |
56-84277 56 days ago |
56-84264 56 days |
| 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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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-order
|
272/0 |
Mathlib.lean,Mathlib/Order/Category/PartOrd/CartesianClosed.lean,Mathlib/Order/Category/PartOrd/Distributive.lean,Mathlib/Order/Category/Preord/CartesianClosed.lean,Mathlib/Order/Category/Preord/Distributive.lean |
5 |
5 |
['github-actions', 'intgrah'] |
nobody |
55-11486 1 month ago |
56-36064 56 days ago |
56-36051 56 days |
| 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 |
4 |
['felixpernegger', 'github-actions'] |
nobody |
53-78775 1 month ago |
53-81030 53 days ago |
53-81017 53 days |
| 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.
---
- [ ] depends on: #40737
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|
new-contributor |
133/0 |
Mathlib.lean,Mathlib/Topology/Sheaves/KSheaf.lean |
2 |
9 |
['github-actions', 'joelriou', 'mathlib-dependent-issues', 'ymonbru'] |
nobody |
53-55274 1 month ago |
53-55274 53 days ago |
53-65996 53 days |
| 41358 |
erdkocak author:erdkocak |
doc(ModelTheory): fix partial equivalence theorem reference |
Fix a stale module doc reference in `ModelTheory.PartialEquiv`: the theorem is `equiv_between_cg`, and the conclusion is an isomorphism `M ≃[L] N`.
---
This documentation-only PR was split out from #41111 following review feedback.
Please note that ChatGPT Codex was used to help prepare this documentation-only PR. |
t-logic
new-contributor
|
3/3 |
Mathlib/ModelTheory/PartialEquiv.lean |
1 |
2 |
['github-actions'] |
nobody |
53-50343 1 month ago |
53-50932 53 days ago |
53-50919 53 days |
| 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 |
53-49488 1 month ago |
53-50295 53 days ago |
59-47971 59 days |
| 39864 |
8e7 author:8e7 |
feat(Combinatorics/SimpleGraph/Acyclic): helly property on subtrees |
This PR adds several lemmas regarding connected subsets of vertices in trees (subtrees). The main result is the Helly property for subtrees: For a finite set of subtrees, if any pair of subtrees intersect, then there is a common vertex in all subtrees.
This lemma is part of an effort to formalize tree decompositions (see #38334), and will be used in a future PR to prove `G.cliqueNum - 1 <= G.treeWidth`.
AI Usage: The proofs were developed with the help of Claude Code. I vouch for all the code written and understand the content fully.
---
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|
t-combinatorics
new-contributor
LLM-generated
|
114/0 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Subgraph.lean |
2 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
52-70509 1 month ago |
52-71064 52 days ago |
70-85224 70 days |
| 37683 |
SabrinaJewson author:SabrinaJewson |
feat(Order/OrdContinuous): every map between complete lattices that preserves sSup is a left adjoint of some Galois connection |
It is already proven that the left side of a Galois connection is left-continuous; this provides the converse.
---
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|
new-contributor
t-order
|
14/0 |
Mathlib/Order/OrdContinuous.lean |
1 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
51-9121 1 month ago |
51-10788 51 days ago |
51-12222 51 days |
| 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 |
49-26979 1 month ago |
49-26979 49 days ago |
65-69243 65 days |
| 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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|
t-ring-theory
new-contributor
|
13/0 |
Mathlib/RingTheory/TwoSidedIdeal/Lattice.lean |
1 |
5 |
['Whysoserioushah', 'github-actions', 'kbuzzard'] |
nobody |
48-21310 1 month ago |
48-23753 48 days ago |
48-31517 48 days |
| 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
label:t-algebra$ |
22/0 |
Mathlib/LinearAlgebra/TensorPower/Basic.lean |
1 |
4 |
['github-actions', 'teng10'] |
nobody |
42-24867 1 month ago |
42-27467 42 days ago |
42-27470 42 days |
| 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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|
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 |
41-78278 1 month ago |
41-78799 41 days ago |
49-61747 49 days |
| 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 |
5 |
['b-mehta', 'espottesmith', 'github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
41-32588 1 month ago |
66-29596 66 days ago |
203-33331 203 days |
| 41732 |
vaca22 author:vaca22 |
feat(RingTheory/ClassGroup): add mulEquiv_mk0 |
Add a simp lemma describing how the class-group equivalence induced by a ring equivalence acts on the class of a nonzero ideal.
The image is the class of the ideal mapped along the ring equivalence. The proof compares the corresponding fractional ideals through the existing class-group equivalence and localization membership API.
**AI disclosure**: this PR is primarily LLM-generated (Claude Code).
|
t-ring-theory
new-contributor
LLM-generated
|
43/0 |
Mathlib/RingTheory/ClassGroup/Basic.lean |
1 |
3 |
['github-actions', 'vaca22'] |
nobody |
41-21579 1 month ago |
43-36853 43 days ago |
43-36840 43 days |
| 41729 |
vaca22 author:vaca22 |
feat(RingTheory/DedekindDomain): add divisor group core |
Add the formal divisor group of a Dedekind domain and bundle the existing factorization API as an additive equivalence between nonzero fractional ideals and divisors.
Divisors are finitely supported integer-valued functions on height-one primes. divisor records FractionalIdeal.count, ofDivisor reconstructs a fractional ideal from prime powers, and divisorEquiv proves these operations are inverse and send ideal multiplication to divisor addition.
------------
This is the core of the earlier larger proposal. Principal divisors and weighted degrees are deliberately left for later pull requests.
**AI disclosure**: this PR is primarily LLM-generated (Claude Code).
|
t-ring-theory
new-contributor
LLM-generated
|
100/0 |
Mathlib.lean,Mathlib/RingTheory/DedekindDomain/Divisor.lean |
2 |
4 |
['github-actions', 'grunweg', 'vaca22'] |
nobody |
41-5026 1 month ago |
41-5026 41 days ago |
43-2216 43 days |
| 41911 |
kedlaya author:kedlaya |
feat(FieldTheory): implement Artin-Schreier extensions, Artin-Schreier theorem |
Implement the Artin-Schreier description of cyclic degree-p extensions of fields of characteristic p, and the related theorem of Artin-Schreier that a field with a finite algebraically closed extension is either algebraically closed or real closed.
|
t-algebra
new-contributor
label:t-algebra$ |
486/0 |
Mathlib.lean,Mathlib/Algebra/Polynomial/FieldDivision.lean,Mathlib/FieldTheory/ArtinSchreierExtension.lean,Mathlib/FieldTheory/IsRealClosed/ArtinSchreier.lean |
4 |
11 |
['SnirBroshi', 'github-actions', 'jcommelin', 'kedlaya'] |
nobody |
38-65910 1 month ago |
38-74760 38 days ago |
38-76088 38 days |
| 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 |
37-81314 1 month ago |
38-8657 38 days ago |
38-8644 38 days |
| 41947 |
hawkrobe author:hawkrobe |
feat(Order/Antisymmetrization): comparable minimal elements are equivalent |
Adds `Minimal.antisymmRel_of_ge` and `Minimal.antisymmRel_of_symmGen` at preorder generality.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-order
|
32/3 |
Mathlib/Order/Antisymmetrization.lean |
1 |
2 |
['github-actions'] |
nobody |
37-67695 1 month ago |
37-71781 37 days ago |
37-71768 37 days |
| 30637 |
strihanje01 author:strihanje01 |
feat(Combinatorics/SetFamily/Lindstrom): Lindstrom's theorem for subfamilies with equal unions |
add Lindstrom's theorem and its strengthening for equal intersections
---
<!-- The text above the `---` will become the commit message when your
PR is merged. Please leave a blank newline before the `---`, otherwise
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-->
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
211/0 |
Mathlib.lean,Mathlib/Combinatorics/SetFamily/Lindstrom.lean |
2 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
34-80558 1 month ago |
56-47622 56 days ago |
88-10705 88 days |
| 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 |
33-41273 1 month ago |
33-79243 33 days ago |
33-79230 33 days |
| 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 |
33-41254 1 month ago |
33-79243 33 days ago |
33-79230 33 days |
| 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.
---
<!-- 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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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,
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each co-author among the commits in the pull request. If necessary, you
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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>
If you are moving or deleting declarations, please include these lines
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
- ...
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]
-->
[](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 |
32-31068 1 month ago |
32-31852 32 days ago |
32-40310 32 days |
| 41525 |
JX-Mo author:JX-Mo |
feat(RepresentationTheory): add Smooth.Basic for smooth representations |
This PR introduces basic setup for smooth representations of a topological group. Hopefully it will serve as preliminary content for those who are interested in formalizing representation theory for p-adic reductive groups in the future. We introduce the following in the file:
1. Define smoothness for representations of a topological group. It is a property for a representation to be smooth: the stabilizer of any vector is open.
2. Prove basic closure properties: subrepresentations, quotient representations, tensor products, direct sums of smooth representations are smooth.
3. Construct smoothHom and contragredient: they are obtained by cutting out smooth vectors from the naive hom and dual.
- [ ] depends on #40941
- [ ] depends on #41081 |
new-contributor
t-algebra
label:t-algebra$ |
345/0 |
Mathlib.lean,Mathlib/RepresentationTheory/Smooth/Basic.lean,Mathlib/RepresentationTheory/Stabilizer.lean,Mathlib/RepresentationTheory/Subrepresentation.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean |
5 |
4 |
['JX-Mo', 'felixpernegger', 'github-actions'] |
nobody |
32-21477 1 month ago |
40-27326 40 days ago |
48-49439 48 days |
| 41081 |
JX-Mo author:JX-Mo |
feat(RepresentationTheory): add Subrepresentation.toRepresentation_apply and Subrepresentation.quotient |
Add a lemma for `Subrepresentation` recording the inherited group action. Help avoid unfolding `Subrepresentation.toRepresentation` when analyzing the action.
Add the `quotient` representation associated to a `Subrepresentation`. It wraps up `Representation.quotient` and `Representation.Subrepresentation` and then we also record the inherited group action.
|
t-algebra
new-contributor
label:t-algebra$ |
26/0 |
Mathlib/RepresentationTheory/Subrepresentation.lean |
1 |
17 |
['JX-Mo', 'Whysoserioushah', 'github-actions'] |
nobody |
32-20060 1 month ago |
45-60285 45 days ago |
61-29841 61 days |
| 42080 |
dkunert author:dkunert |
feat(Algebra/Order/Floor): add fract-absorption lemmas for sums and d… |
Add the four one-sided absorption lemmas for `Int.fract`
* `Int.fract_fract_add : fract (fract a + b) = fract (a + b)`
* `Int.fract_add_fract : fract (a + fract b) = fract (a + b)`
* `Int.fract_fract_sub : fract (fract a - b) = fract (a - b)`
* `Int.fract_sub_fract : fract (a - fract b) = fract (a - b)`
all tagged `@[simp]`, together with the two-sided combinations `Int.fract_fract_add_fract` and `Int.fract_fract_sub_fract` as derived corollaries (not `@[simp]`, since their LHS is already simplified by the one-sided lemmas).
Mathlib currently has the existence form (`Int.fract_add`), the inequalities (`Int.fract_add_le`, `Int.fract_add_fract_le`), and absorption equalities only for integer casts (the `Int.fract_add_intCast` family); the `fract`-absorbing equalities themselves were missing (closest relatives: `Int.fract_fract`, `Int.fract_eq_fract`). With the new `@[simp]` set, goals like `fract (fract x + fract y) = fract (x + y)` now close by `simp` — they did not before.
The one-sided factoring of the add lemmas was suggested by Eric Wieser on [Zulip](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Int.2Efract.20of.20a.20sum.2Fdifference.20reduced.20mod.201); the two-sided add corollary is the lemma his two suggestions "combine to give". The sub analogues and the `@[simp]` tagging follow the same pattern. Naming follows the file's `fract_add_intCast`/`fract_intCast_add` convention.
I used the Anthropic LLMs Opus 4.8 and Fable 5 via Claude Code and made the central design decisions. The LLMs produced all the lemmas and proofs. The four lemmas and the two corollaries are fully proved and break nothing in Mathlib. They conform to the style and simpNF conventions. I take responsibility for this contribution.
--- |
t-algebra
new-contributor
LLM-generated
label:t-algebra$ |
22/0 |
Mathlib/Algebra/Order/Floor/Ring.lean |
1 |
3 |
['dkunert', 'github-actions'] |
nobody |
30-56946 30 days ago |
32-56999 32 days ago |
32-56986 32 days |
| 41828 |
archiebrowne author:archiebrowne |
feat(RingTheory/HopfAlgebra/Convolution): add `ofAntipodeOfAdjoin` |
Adds `HopfAlgebra.ofAntipodeOfAdjoin`, which upgrades a bialgebra `A` to a Hopf
algebra given an algebra anti-homomorphism `S : A →ₐ[R] Aᵐᵒᵖ` that satisfies the
two antipode identities *only on a generating set* `X` with `adjoin R X = ⊤`.
Main additions (`Mathlib/RingTheory/HopfAlgebra/Basic.lean`):
* `HopfAlgebra.mul_antipode_rTensor_comul_adjoin_top` /
`HopfAlgebra.mul_antipode_lTensor_comul_adjoin_top`: the antipode axioms hold on
all of `A` when they hold on a generating set.
* `HopfAlgebra.ofAntipodeOfAdjoin`: the resulting `HopfAlgebra R A` structure,
with `antipode := (opLinearEquiv R).symm.toLinearMap ∘ₗ S.toLinearMap`.
Also in (`Mathlib/RingTheory/HopfAlgebra/Convolution.lean`):
* Golf `antipode_mul_id`, `id_mul_antipode`, and `antipode_id_cancel`.
* Add `id_antipode_cancel` (mirror of `antipode_id_cancel`). |
t-ring-theory
new-contributor
|
89/9 |
Mathlib/RingTheory/HopfAlgebra/Convolution.lean |
1 |
2 |
['github-actions'] |
nobody |
29-56999 29 days ago |
41-16877 41 days ago |
41-17906 41 days |
| 40416 |
sparckix author:sparckix |
feat(Order/Monotone): add diagonal subsequence extraction |
This PR adds a small diagonal extraction lemma for nested strictly monotone subsequences of `Nat`.
Given strict-mono maps `φ k : Nat -> Nat` such that each `φ (k + 1)` factors through `φ k` by a strict-mono map `τ k`, the diagonal sequence `fun n => φ n n` is strictly monotone and each tail of the diagonal factors through the corresponding `φ k` by a strict-mono map.
The lemma is intended as a reusable sequence/order fact and is placed near `Nat.exists_strictMono_subsequence`.
Local checks run:
```text
lake env lean Mathlib/Order/Monotone/Basic.lean
lake build Mathlib.Order.Monotone.Basic
lake exe lint-style Mathlib/Order/Monotone/Basic.lean
git diff --check
```
AI assistance disclosure: I used AI tools, including Codex and external model feedback, to help extract and review this small lemma from a local formalization project. I have checked the statement and proof myself and am responsible for the submitted code.
|
t-order
new-contributor
LLM-generated
|
66/0 |
Mathlib/Order/Monotone/Basic.lean |
1 |
3 |
['github-actions', 'pepamontero'] |
nobody |
29-31332 29 days ago |
78-26090 78 days ago |
78-26077 78 days |
| 42079 |
JX-Mo author:JX-Mo |
refactor(RepresentationTheory): weaken condition of Schur's lemma |
Replace the condition `[FiniteDimensional k V]` of Schur's lemma by `[FiniteDimensional k (IntertwiningMap ρ ρ)]`. Note that the former will automatically give the latter by typeclass inference.
This has an immediate downstream application: irreducible admissible smooth representations (of e.g. GL2(Qp)) are usually not finite dimensional but the weaker condition`[FiniteDimensional k (IntertwiningMap ρ ρ)]` can be easily deduced from the definition of being "irreducible admissible smooth". |
new-contributor
t-algebra
label:t-algebra$ |
16/14 |
Mathlib/RepresentationTheory/AlgebraRepresentation/Basic.lean,Mathlib/RepresentationTheory/Irreducible.lean |
2 |
6 |
['JX-Mo', 'Whysoserioushah', 'github-actions', 'pepamontero'] |
nobody |
29-31234 29 days ago |
32-69271 32 days ago |
32-69258 32 days |
| 41678 |
JX-Mo author:JX-Mo |
refactor(RepresentationTheory): record the concrete binary biproduct |
Record the concrete binary biproduct explicitly from the instance `HasBinaryBiproducts` to make its _**proof**_ reusable. This strengthens the exposed mathematical statement from "_the biproduct exists_" to "_the biproduct exists and is isomorphic to_ `prod _ _`".
This has an immediate downstream application: to prove that the property of being smooth is stable under product, we need to reconstruct the "product". The current instance `HasBinaryBiproducts` only tells that the product exists and the information about how the product looks like is not directly available, so now we need to reprove that `prod` is a concrete categorical (bi)product. This PR aims to eliminate such future duplicated proofs. |
t-algebra
new-contributor
label:t-algebra$ |
23/7 |
Mathlib/RepresentationTheory/Rep/Basic.lean |
1 |
9 |
['JX-Mo', 'Whysoserioushah', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
28-81953 28 days ago |
28-82585 28 days ago |
44-43062 44 days |
| 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
|
326/0 |
Mathlib.lean,Mathlib/Analysis/Matrix/Inertia.lean,Mathlib/Combinatorics/SimpleGraph/LineGraphSignature.lean |
3 |
2 |
['github-actions'] |
nobody |
28-68791 28 days ago |
29-32862 29 days ago |
29-32849 29 days |
| 42226 |
espottesmith author:espottesmith |
feat(Combinatorics/Hypergraph): add restriction `x ≠ y` to hypergraph vertex and edge adjacency |
---
<!-- 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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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,
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]
-->
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 |
28-53703 28 days ago |
28-54269 28 days ago |
28-54256 28 days |
| 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 |
27-30392 27 days ago |
28-58200 28 days ago |
28-58187 28 days |
| 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 |
27-30366 27 days ago |
28-57138 28 days ago |
28-60333 28 days |
| 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 |
27-30366 27 days ago |
29-7769 29 days ago |
29-8580 29 days |
| 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 |
27-30359 27 days ago |
29-50284 29 days ago |
29-50271 29 days |
| 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
|
23/3 |
Mathlib/FieldTheory/Galois/Basic.lean,Mathlib/RingTheory/Ideal/Norm/RelNorm.lean,Mathlib/RingTheory/NormalClosure.lean |
3 |
15 |
['felixpernegger', 'github-actions', 'leanprover-radar', 'vaca22', 'xroblot'] |
nobody |
26-55305 26 days ago |
35-18336 35 days ago |
40-27233 40 days |
| 41991 |
dahlem author:dahlem |
fix(Analysis/Matrix): anchor the elementwise matrix norm's topology to instTopologicalSpaceMatrix |
With `open scoped Matrix.Norms.Elementwise`,
```lean
noncomputable example {m n : Type*} [Fintype m] [Fintype n] :
Norm (Matrix m n ℝ →L[ℝ] Matrix m n ℝ) := inferInstance
```
fails to synthesize, even though the norm-induced topology on `Matrix m n ℝ` is definitionally equal to the ambient `instTopologicalSpaceMatrix` (`rfl` proves the equality).
What goes wrong: the `→L[ℝ]` type is elaborated with the *direct* instance `instTopologicalSpaceMatrix`, while `ContinuousLinearMap.hasOpNorm`'s conclusion carries topologies that are *projections* of its `SeminormedAddCommGroup` arguments. During resolution, pending synthesis does find `Matrix.seminormedAddCommGroup`, but the projected topology then has to unify with `instTopologicalSpaceMatrix`, and the projection chain through `fast_instance% Pi.seminormedAddCommGroup` does not reduce to the same term. (Types like `ℝ` or `EuclideanSpace` don't hit this because they have no direct `TopologicalSpace` instance competing with the projection path — matrices do.)
**Fix**: anchor the topology field of `Matrix.seminormedAddCommGroup` / `Matrix.normedAddCommGroup` to `instTopologicalSpaceMatrix` via `PseudoMetricSpace.replaceTopology` / `MetricSpace.replaceTopology` with `rfl` proofs — the standard forgetful-inheritance pattern; the Frobenius family in the same file already achieves this through `PiLp.seminormedAddCommGroupToPi`. Anchoring to a freshly-elaborated `inferInstanceAs <| TopologicalSpace (m → n → α)` is *not* sufficient — the anchor must be the same instance term that appears in elaborated goal types, which is why this also adds `public import Mathlib.Topology.Instances.Matrix` (no cycle; that file only imports `LinearAlgebra.Matrix.*` and `Topology.Algebra.*`).
`norm`, `dist`, and the uniformity are untouched — only the packaging of the topology field changes, in the direction of the canonical instance. The fix works at Lean's default `maxSynthPendingDepth`. It also unblocks smul-continuity resolution in Fréchet-derivative developments over matrix codomains (`HasFDerivAt.const_smul` sites), where the goal's topology argument is the same non-reducing projection.
Motivation: hit in a downstream project (~4300 build jobs of matrix-valued Fréchet calculus) where ten files currently need local high-priority compat instances to work around this. A downstream repair cannot be shipped safely: boosting a repaired `SeminormedAddCommGroup`'s priority steals `‖·‖` resolution from files mixing norm scopes (e.g. `Matrix.Norms.L2Operator` sections of a Davis–Kahan development silently re-resolve to the elementwise norm). The fix has to live in the instance definitions.
Validation: full `lake build Mathlib` passes with the change (8666 jobs), plus new regression tests in `MathlibTest/MatrixNormTopology.lean` (both `rfl` agreements, the `Norm` synthesis above, `‖f‖` usage, `ContinuousConstSMul` unification).
Open questions for reviewers:
- Should the `linftyOp*` family get the same anchor for uniformity of design?
- Is `letI I := fast_instance% …; { I with … }` the preferred spelling here?
- Is the added import acceptable, or should the anchored instances move to a file that already sees `Topology.Instances.Matrix`?
Disclosure: this PR was prepared with AI assistance (Claude); the diagnosis and fix were validated by the full mathlib build and the included regression tests.
🤖 Generated with [Claude Code](https://claude.com/claude-code)
|
t-analysis
new-contributor
LLM-generated
|
60/4 |
Mathlib/Analysis/Matrix/Normed.lean,MathlibTest/MatrixNormTopology.lean |
2 |
2 |
['github-actions'] |
nobody |
26-35995 26 days ago |
36-13479 36 days ago |
36-13466 36 days |
| 41869 |
FawadHa1der author:FawadHa1der |
perf(FieldTheory/RatFunc/Valuation): explicit proof instead of aesop |
A little longer explicit proof but may be bench will show it could be worth it. |
new-contributor
t-algebra
will-close-soon
label:t-algebra$ |
8/2 |
Mathlib/FieldTheory/RatFunc/Valuation.lean |
1 |
8 |
['FawadHa1der', 'github-actions', 'grunweg', 'leanprover-radar'] |
nobody |
26-7997 26 days ago |
26-7997 26 days ago |
26-10879 26 days |
| 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
large-import
|
99/24 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/CycleGraph.lean,Mathlib/Combinatorics/SimpleGraph/Hasse.lean,Mathlib/Data/Fintype/Defs.lean |
4 |
23 |
['Formalistic03', 'SnirBroshi', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
26-5953 26 days ago |
26-9053 26 days ago |
64-82371 64 days |
| 42093 |
DrDMT-VR author:DrDMT-VR |
feat(Topology/Algebra/Ring): topological closure of a two-sided ideal |
Defines `TwoSidedIdeal.closure`, the topological closure of a two-sided ideal in a
topological ring, together with its basic API. This mirrors the existing one-sided
`Ideal.closure` (`Mathlib/Topology/Algebra/Ring/Ideal.lean`), but is stated in the
generality of non-unital non-associative topological rings (`IsTopologicalRing` over
`NonUnitalNonAssocRing`), where one-sided ideals are unavailable.
New declarations (namespace `TwoSidedIdeal`): `closure`, `coe_closure`,
`mem_closure_iff`, `le_closure`, `closure_mono`, `closure_minimal`, `isClosed_closure`,
`closure_eq_of_isClosed`, `closure_closure`, `closure_top`, and `closure_ne_top` (in a
unital ring whose units are open, e.g. a Banach algebra via `Units.isOpen`, the closure of
a proper two-sided ideal is proper).
Mathlib has no topological-closure API for `TwoSidedIdeal`. Closed two-sided ideals are
the basic objects of C*-algebra ideal theory, and `closure_ne_top` is the standard first
step toward "maximal two-sided ideals are closed".
------
- should the definition be called `topologicalClosure` instead? (The current name matches `Ideal.closure`.)
- Claude was utilized throughout the project. It helped with coding, syntax and running repetitive testing.
|
t-topology
new-contributor
LLM-generated
|
114/0 |
Mathlib.lean,Mathlib/Topology/Algebra/Ring/TwoSidedIdeal.lean |
2 |
5 |
['FractalDevTeam', 'github-actions', 'grunweg'] |
nobody |
26-742 26 days ago |
26-22972 26 days ago |
31-86384 31 days |
| 42312 |
sfingali author:sfingali |
feat(Topology): huber (f-adic) rings |
### Summary
Defines Huber (f-adic) rings: topological rings admitting an open subring whose
subspace topology is the `I`-adic topology for a finitely generated ideal `I`
(Wedhorn, *Adic Spaces*, arXiv:1910.05934, Prop. and Def. 6.1, p. 46).
* `HuberRing.RingOfDefinition` — the pair of definition `(A₀, I)`: an open subring
`A₀ ⊆ A` with `IsAdic I` for a finitely generated ideal `I` of `A₀` (data).
* `HuberRing.IsHuberRing` — a topological ring admitting a ring of definition
(property).
* `HuberRing.ringOfDefinition_iff_open_adic` — Wedhorn, Lemma 6.2 (a) ↔ (b), p. 46:
a subring is a ring of definition iff it is open and adic.
This is the first step of a planned adic/perfectoid pipeline (Huber rings →
Huber pairs → continuous valuations → Spa → perfectoid fields → tilting), following
the design of the Lean 3 `lean-perfectoid-spaces` project (ring of definition as
data, Huber ring as a property). Follow-ups (depending on #40013's boundedness):
Lemma 6.2 (c) (ring of definition ⟺ open + bounded) and Cor. 6.4(3) (the
power-bounded elements form a subring, the union of all rings of definition).
### References
* T. Wedhorn, *Adic Spaces*, arXiv:1910.05934, Prop. and Def. 6.1, Lemma 6.2,
Cor. 6.4 (pp. 46–47).
|
t-topology
new-contributor
|
84/0 |
Mathlib.lean,Mathlib/Topology/Algebra/Nonarchimedean/HuberRing.lean |
2 |
3 |
['github-actions'] |
nobody |
25-55783 25 days ago |
25-86246 25 days ago |
26-502 26 days |
| 38214 |
emlis42 author:emlis42 |
feat(Algebra/ContinuedFractions): add Euler's continued fraction |
This PR formalizes Euler continued fractions by providing `euler` which construct one by giving head term and coefficients with some basic property.
We also introduce a transformation `GenContFract.toEuler` that maps a generalized continued fraction `g : GenContFract K` to an equivalent Euler continued fraction. |
new-contributor
t-algebra
maintainer-merge
label:t-algebra$ |
364/0 |
Mathlib.lean,Mathlib/Algebra/ContinuedFractions/Euler.lean |
2 |
74 |
['YaelDillies', 'emlis42', 'github-actions', 'mathlib-bors', 'wwylele'] |
nobody |
25-17902 25 days ago |
25-18461 25 days ago |
112-73341 112 days |
| 42345 |
TomOleDiem author:TomOleDiem |
feat(Analysis/Normed/Algebra): characterize continuous one-parameter subgroups |
This PR proves that every continuous one-parameter subgroup of the unit group of a real Banach algebra has a unique exponential generator.
The theorem applies to any function-like type from `Multiplicative ℝ` to `Eˣ` carrying `MonoidHomClass` and `ContinuousMapClass` instances.
The proof first derives differentiability from an invertible local average. It then identifies the subgroup with the exponential of its derivative at zero and proves uniqueness by differentiation at zero.
The new module builds successfully and passes `lint-style`.
Substantial AI assistance was used to develop and review this formalization. |
t-analysis
new-contributor
LLM-generated
|
248/0 |
Mathlib.lean,Mathlib/Analysis/Normed/Algebra/OneParameterSubgroup.lean |
2 |
3 |
['TomOleDiem', 'github-actions'] |
nobody |
25-13682 25 days ago |
25-13682 25 days ago |
25-13669 25 days |
| 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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[](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 |
25-30 25 days ago |
30-34619 30 days ago |
30-59334 30 days |
| 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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If you are moving or deleting declarations, please include these lines
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-ring-theory
LLM-generated
new-contributor
|
20/0 |
Mathlib/RingTheory/IntegralClosure/IsIntegralClosure/Basic.lean |
1 |
10 |
['SnirBroshi', 'github-actions', 'stalex444'] |
nobody |
23-41013 23 days ago |
40-17301 40 days ago |
40-17288 40 days |
| 42352 |
sankalpsthakur author:sankalpsthakur |
feat(RingTheory): coprimality of a sum and difference |
Adds `Int.isCoprime_add_sub`: if `m, n` are coprime and `m + n` is odd (equivalently, `m, n` have opposite parity), then `m + n` and `m - n` are coprime.
Motivated by #37366.
### Validation
Built locally: `lake build Mathlib.RingTheory.Int.Basic` — succeeds.
Closes #37366
### 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
|
9/0 |
Mathlib/RingTheory/Int/Basic.lean |
1 |
4 |
['SnirBroshi', 'github-actions', 'sankalpsthakur'] |
nobody |
22-76028 22 days ago |
24-86204 24 days ago |
24-86191 24 days |
| 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 |
22-70826 22 days ago |
23-80412 23 days ago |
23-80399 23 days |
| 41120 |
teorth author:teorth |
feat(Analysis/SpecialFunctions/Gamma/Deriv,NumberTheory/Harmonic/GammaDeriv): formulae for the derivative of Gamma / eulerMascheroni |
Some integral representations of the derivative of the Gamma function, or the Euler-Mascheroni constant, focusing on the real form of the Gamma function rather than the complex one (as formulae for the latter are already present).
---
The initial code was human generated; an AI agent was used to help proofread and refactor the code subsequently.
- [x] depends on: #41119
-->
[](https://gitpod.io/from-referrer/)
|
new-contributor |
91/7 |
Mathlib/Analysis/SpecialFunctions/Gamma/Deriv.lean,Mathlib/Analysis/SpecialFunctions/Pow/Real.lean,Mathlib/NumberTheory/Harmonic/GammaDeriv.lean |
3 |
27 |
['felixpernegger', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'teorth'] |
nobody |
22-22308 22 days ago |
22-23513 22 days ago |
41-5501 41 days |
| 42446 |
ipezygj author:ipezygj |
feat(Algebra/Order/Ring/Pow): bernoulli's inequality for a subtracted term |
Adds `one_sub_mul_le_pow`, the mirror of `one_add_mul_le_pow`:
```lean
lemma one_sub_mul_le_pow (H : a ≤ 2) (n : ℕ) : 1 - n * a ≤ (1 - a) ^ n
```
`Mathlib/Algebra/Order/Ring/Pow.lean` already carries Bernoulli in the `1 + a` form
and one reformulation of it (`one_add_mul_sub_le_pow`); this is the `1 - a` form,
which is the shape that comes up when bounding a product of complements — for
example showing that `1 - (1 - p) ^ n ≤ n * p`, the comparison between the Šidák and
Bonferroni corrections in statistics, which follows immediately by `linarith`.
The hypothesis `a ≤ 2` is exactly what `one_add_mul_le_pow`'s `-2 ≤ -a` becomes, and
it is load-bearing rather than decorative: the inequality fails for `a > 2` (checked
numerically over a grid before writing the proof).
Proof is two lines and reduces directly to the existing lemma.
This is my first contribution to mathlib, so please do point out anything that does
not match the library's conventions.
---
[Blueprint] not applicable.
|
t-algebra
new-contributor
label:t-algebra$ |
6/0 |
Mathlib/Algebra/Order/Ring/Pow.lean |
1 |
3 |
['github-actions'] |
nobody |
22-19896 22 days ago |
22-22896 22 days ago |
22-22883 22 days |
| 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
|
60/1 |
Mathlib/Data/List/PeriodicityLemma.lean |
1 |
8 |
['SnirBroshi', 'github-actions', 'theebayuser'] |
nobody |
21-81152 21 days ago |
39-58719 39 days ago |
39-58706 39 days |
| 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
|
44/3 |
Mathlib/Data/List/Infix.lean |
1 |
3 |
['github-actions', 'theebayuser'] |
nobody |
21-78875 21 days ago |
38-71934 38 days ago |
38-71921 38 days |
| 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
t-combinatorics
new-contributor
|
64/0 |
Mathlib/Data/Finset/Image.lean,Mathlib/Order/Partition/Finpartition.lean |
2 |
4 |
['github-actions', 'lydia-schiff'] |
nobody |
21-76020 21 days ago |
21-78829 21 days ago |
21-84212 21 days |
| 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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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
297/30 |
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 |
14 |
['ChiCubed', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts', 'themathqueen'] |
ocfnash assignee:ocfnash |
21-73789 21 days ago |
21-76341 21 days ago |
73-43705 73 days |
| 40963 |
Formalistic03 author:Formalistic03 |
feat(Combinatorics/SimpleGraph/Paths): add lemma about the first dart if dropLast is a path |
If `dropLast` of a walk is a path, a dart of the walk sharing its first vertex with the walk also shares its second vertex.
I thought this was a natural more general form of `IsPath.eq_snd_of_mem_edges`, useful for cycles for example.
---
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
15/0 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Operations.lean |
2 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
21-18024 21 days ago |
21-18642 21 days ago |
63-38324 63 days |
| 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$ |
50/0 |
Mathlib/Algebra/BigOperators/Group/Finset/Powerset.lean |
1 |
3 |
['bocowgill', 'github-actions'] |
nobody |
20-36958 20 days ago |
20-36958 20 days ago |
20-36945 20 days |
| 42499 |
attilavjda author:attilavjda |
doc(Data/ENat,ENNReal): fix swapped docstring on mul_iInf_of_ne |
Fixed left from right multiplication and "see-also" to point at mul_iInf
[Aristotle helped](https://github.com/attilavjda/formal-contributions/blob/main/mul_iInf_of_ne/PR3.lean) with finding the error, generating and verifying a solution by tests, and made a guide to the solution.
---
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[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
|
5/5 |
Mathlib/Data/ENNReal/Inv.lean,Mathlib/Data/ENat/Lattice.lean |
2 |
3 |
['github-actions'] |
nobody |
20-12650 20 days ago |
20-32211 20 days ago |
20-32198 20 days |
| 42357 |
SynBurz author:SynBurz |
feat: the Krull dimension of the product of finitely many rings is equal to the maximum of Krull dimensions of the factors |
Add `ringKrullDim_pi_eq_iSup_ringKrullDim`. Also add useful defs: `LTSeries.sigmaEquiv`, `PrimeSpectrum.sigmaToPiOrderIso`, and lemmas `PrimeSpectrum.sigmaToPiOrderIso_apply`, Pi.not_comap_evalRingHom_le_comap_of_neq`, `LTSeries.sigma_fst_eq_fst`.
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor |
93/0 |
Mathlib/Order/RelSeries.lean,Mathlib/RingTheory/Ideal/Maps.lean,Mathlib/RingTheory/Spectrum/Prime/Topology.lean |
3 |
5 |
['SynBurz', 'github-actions', 'wwylele'] |
nobody |
20-3340 20 days ago |
24-80372 24 days ago |
24-80762 24 days |
| 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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[](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'] |
kex-y assignee:kex-y |
18-81457 18 days ago |
20-78278 20 days ago |
20-78265 20 days |
| 42518 |
theebayuser author:theebayuser |
feat(Geometry/Euclidean): add the British flag theorem |
Adds the British flag theorem to `Mathlib/Geometry/Euclidean/`
The rectangle is expressed as a parallelogram, the diagonals `a c` and
`b d` share a midpoint with a right angle at a.
Main results
* `EuclideanGeometry.dist_sq_add_dist_sq_eq_dist_sq_add_dist_sq_of_angle_eq_pi_div_two` —
the British flag theorem.
* `EuclideanGeometry.dist_sq_add_dist_sq_eq_dist_sq_add_dist_sq_iff_angle_eq_pi_div_two` —
the if-and-only-if form: among parallelograms the identity characterises rectangles. It needs
no nondegeneracy hypotheses, thanks to the `angle 0 v = π / 2` convention.
* `EuclideanGeometry.dist_sq_add_dist_sq_eq_dist_sq_add_dist_sq_add_two_mul_dist_mul_dist_mul_cos_angle`
— a generalisation to arbitrary parallelograms with a law-of-cosines correction term.
* `InnerProductGeometry.norm_sq_add_norm_sub_add_sq_eq_norm_sub_sq_add_norm_sub_sq_add_two_inner`
and its `…_iff_inner_eq_zero` corollary — the underlying inner-product identity, in the vector
layer.
AI disclosure
This contribution was developed with assistance from Claude Code.
|
t-euclidean-geometry
new-contributor
LLM-generated
|
112/0 |
Mathlib.lean,Mathlib/Geometry/Euclidean/BritishFlag.lean,docs/1000.yaml |
3 |
5 |
['github-actions', 'theebayuser', 'wwylele'] |
jsm28 assignee:jsm28 |
18-26112 18 days ago |
19-61115 19 days ago |
19-61102 19 days |
| 42315 |
sfingali author:sfingali |
feat(Topology): the adic spectrum Spa(A, A+) as a topological space |
### Summary
Defines the adic spectrum `Spa(A, A⁺)` as a set and topological space for a
topological ring `A` and a subring `A⁺` (Wedhorn, *Adic Spaces*,
arXiv:1910.05934, Def. 7.23 and Def. 7.29, pp. 62–63).
* `SpaPoint A A⁺` — a point of the adic spectrum: a continuous valuation
`v : A → Γ₀` with `v(f) ≤ 1` for all `f ∈ A⁺`.
* `SpaPoint.rationalSubset s T` — the rational subset `R(T/s)`.
* `SpaPoint.spaTopologicalSpace` — the topology generated by the rational
subsets with `T · A` open in `A`; `isOpen_rationalSubset` shows every such
rational subset is open.
* `SpaPoint.mem_rationalSubset_one` — Wedhorn, Rem. 7.30(4): `R(f/1)` is the
set `{x | |f(x)| ≤ 1}`.
Third step of an adic/perfectoid pipeline (Huber rings #42312 → continuous
valuations #42314 → Spa → Huber pairs → perfectoid → tilting). This PR works
with the element-level notion (a bundled continuous valuation with a fixed
value group); Wedhorn defines `Spa(A, A⁺)` as a subspace of the valuation
spectrum `Spv(A)` — the comparison is added once the spectrum PR lands.
### References
* T. Wedhorn, *Adic Spaces*, arXiv:1910.05934, Def. 7.23, Def. 7.29,
Rem. 7.30 (pp. 62–63).
|
new-contributor |
411/0 |
Mathlib.lean,Mathlib/RingTheory/Valuation/ContinuousValuation.lean,Mathlib/Topology/Algebra/Nonarchimedean/Spa.lean |
3 |
3 |
['github-actions', 'tb65536'] |
nobody |
18-15628 18 days ago |
24-23526 24 days ago |
24-27507 24 days |
| 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 |
18-8920 18 days ago |
25-86141 25 days ago |
26-274 26 days |
| 31092 |
FlAmmmmING author:FlAmmmmING |
feat(Algebra/Group/ForwardDiff.lean): Add theorem `sum_shift_eq_fwdDiff_iter`. |
---
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|
t-algebra
new-contributor
label:t-algebra$ |
17/1 |
Mathlib/Algebra/Group/ForwardDiff.lean |
1 |
24 |
['BeibeiX0', 'FlAmmmmING', 'Ruben-VandeVelde', 'dagurtomas', 'github-actions', 'jcommelin', 'mathlib-bors', 'mathlib4-merge-conflict-bot'] |
eric-wieser assignee:eric-wieser |
17-81460 17 days ago |
63-66043 63 days ago |
118-1685 118 days |
| 38194 |
ryanncode author:ryanncode |
feat(LinearAlgebra/BilinearForm): add indefinite metrics |
Add the `IndefiniteMetric` structure to support vector spaces equipped with a non-degenerate, symmetric, indefinite bilinear form.
Provide the algebraic foundation for indefinite inner product spaces by formalizing the metric via `LinearMap.BilinForm` and extracting its associated quadratic form without enforcing the `IsPosSemidef` typeclass.
Previously, mathlib required strictly positive-definite metrics to instantiate inner product spaces (`InnerProductSpace`), which prevented the formalization of indefinite geometries without causing typeclass inference failures. Bridge this gap by isolating the symmetric bilinear form from topological and positivity constraints, allowing the library to handle generalized indefinite metric spaces safely.
---
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|
t-algebra
new-contributor
label:t-algebra$ |
47/0 |
Mathlib.lean,Mathlib/LinearAlgebra/BilinearForm/IndefiniteMetric.lean |
2 |
5 |
['dagurtomas', 'github-actions', 'mathlib-merge-conflicts', 'ryanncode'] |
kim-em assignee:kim-em |
17-81457 17 days ago |
95-38385 95 days ago |
111-8141 111 days |
| 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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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
|
227/0 |
Mathlib.lean,Mathlib/RingTheory/MvPolynomial/DeterminantalIdeal.lean |
2 |
3 |
['WangJiabai', 'github-actions'] |
mattrobball assignee:mattrobball |
17-81454 17 days ago |
82-23643 82 days ago |
82-23630 82 days |
| 42583 |
attilavjda author:attilavjda |
chore(Analysis/Calculus/FDeriv/Prod): deprecate differentiable*_finCons' as duplicates |
The four primed differentiable*_finCons' lemmas are definitionally the unprimed ones (@…' = @… := rfl). Replaced by deprecated aliases, and repointed four in-file uses.
Aristotle found this duplication.
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|
t-analysis
new-contributor
|
12/28 |
Mathlib/Analysis/Calculus/FDeriv/Prod.lean |
1 |
5 |
['Rob23oba', 'attilavjda', 'github-actions'] |
nobody |
17-60245 17 days ago |
18-4822 18 days ago |
18-4809 18 days |
| 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 |
17-50273 17 days ago |
17-50905 17 days ago |
69-59357 69 days |
| 37954 |
jdhart81 author:jdhart81 |
feat(Data/ENNReal/Inv): add ENNReal.div_mul_div_cancel |
Proves a / b * (b / c) = a / c for b ≠ 0, b ≠ ∞ in ENNReal. Proof via mul_div_assoc and existing div_mul_cancel.
AI Disclosure: This PR was developed with assistance from an LLM (Claude, Anthropic) for proof exploration and text drafting. The proof was compiled and verified locally by the contributor, who understands the mathematical content. This lemma is extracted from a larger formalization of information-theoretic bounds (Zenodo DOI: 10.5281/zenodo.19317983).
---
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|
t-data
new-contributor
|
8/0 |
Mathlib/Data/ENNReal/Inv.lean,Mathlib/Data/EReal/Inv.lean |
2 |
12 |
['felixpernegger', 'github-actions', 'jdhart81'] |
nobody |
17-50254 17 days ago |
30-12233 30 days ago |
30-12295 30 days |
| 39722 |
kg583 author:kg583 |
feat(Combinatorics): link `Nat.Partition` to `YoungDiagram` |
---
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AI disclosure: Claude was used to source some proof sketches.
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
large-import
|
111/4 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/Partition/Basic.lean,Mathlib/Combinatorics/Enumerative/Partition/YoungDiagram.lean,Mathlib/Combinatorics/Young/YoungDiagram.lean |
4 |
48 |
['NoahW314', 'YaelDillies', 'github-actions', 'kg583', 'wwylele'] |
b-mehta assignee:b-mehta |
16-81453 16 days ago |
51-10740 51 days ago |
86-5644 86 days |
| 40479 |
thefundamentaltheor3m author:thefundamentaltheor3m |
feat(LinearAlgebra/AffineSpace/Simplex/Standard): Define the standard $n$-simplex as an `Affine.Simplex` |
In this PR, we define a basis-dependent construction of an affine simplex, using which we define the standard $n$-simplex in `Fin n → k` in terms of `Pi.basisFun`.
The main constructions are `Affine.Simplex.mkOfAffineBasis` and `Affine.Simplex.mkOfBasis`. The former constructs a simplex from any affine basis of an affine space and the latter constructs an affine simplex in a vector space viewed as an affine space. We then relate the construction to `stdSimplex`, defined in `Analysis.Convex.StdSimplex`.
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|
LLM-generated
new-contributor
|
174/0 |
Mathlib.lean,Mathlib/LinearAlgebra/AffineSpace/Basis.lean,Mathlib/LinearAlgebra/AffineSpace/Simplex/Standard.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean |
4 |
12 |
['github-actions', 'thefundamentaltheor3m', 'wwylele'] |
nobody |
16-58112 16 days ago |
16-61270 16 days ago |
45-34433 45 days |
| 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 |
16-23877 16 days ago |
16-24808 16 days ago |
16-25566 16 days |
| 42615 |
williamjblair author:williamjblair |
feat(Data/Nat/Prime/Basic): a nonzero natural has a prime not dividing it |
Any prime factor of `n + 1` works, so the proof needs nothing beyond `minFac`.
---
[](https://gitpod.io/from-referrer/) |
t-data
new-contributor
LLM-generated
|
8/0 |
Mathlib/Data/Nat/Prime/Basic.lean |
1 |
3 |
['github-actions', 'williamjblair'] |
nobody |
16-22530 16 days ago |
16-24906 16 days ago |
16-24893 16 days |
| 42614 |
williamjblair author:williamjblair |
chore(Algebra/Group/Action/Pointwise/Set): generalize smul_mem_smul_set_iff to IsLeftCancelSMul |
The lemma only needs `a • ·` to be injective, which is what `IsLeftCancelSMul` says. Moving it into that section covers the previous `[Group α] [MulAction α β]` case through the existing instance, and also covers `[Mul α] [IsLeftCancelMul α]` acting on itself.
---
[](https://gitpod.io/from-referrer/) |
t-algebra
new-contributor
LLM-generated
label:t-algebra$ |
5/4 |
Mathlib/Algebra/Group/Action/Pointwise/Set/Basic.lean |
1 |
3 |
['github-actions', 'williamjblair'] |
nobody |
16-22312 16 days ago |
16-25131 16 days ago |
16-25118 16 days |
| 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 |
2 |
['github-actions'] |
nobody |
15-74823 15 days ago |
15-75418 15 days ago |
15-75405 15 days |
| 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).
---
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|
t-topology
new-contributor
LLM-generated
|
146/0 |
Mathlib.lean,Mathlib/Topology/EMetricSpace/PathLength.lean,Mathlib/Topology/Path.lean |
3 |
72 |
['CoolRmal', 'Zeta-Wu', 'felixpernegger', 'github-actions', 'pelicanhere', 'scholzhannah'] |
scholzhannah assignee:scholzhannah |
15-60735 15 days ago |
28-73897 28 days ago |
30-43078 30 days |
| 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 |
15-22227 15 days ago |
15-22927 15 days ago |
27-50324 27 days |
| 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'] |
nobody |
14-86104 14 days ago |
15-6861 15 days ago |
15-6848 15 days |
| 36323 |
SproutSeeds author:SproutSeeds |
feat(Inversion): discontinuity and center/global fderiv formulas |
Part of #5939
Adds the discontinuity-at-center lemma for inversion and derives the center/global `fderiv` formulas from it. 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`
Tools used: Codex 5.3 extra high
---
Happy to adjust naming, placement, or proof style based on maintainer preference.
|
t-euclidean-geometry
new-contributor
LLM-generated
|
22/0 |
Mathlib/Geometry/Euclidean/Inversion/Calculus.lean |
1 |
4 |
['SproutSeeds', 'github-actions', 'mathlib-merge-conflicts'] |
jsm28 assignee:jsm28 |
14-81460 14 days ago |
15-74178 15 days ago |
15-74165 15 days |
| 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`.
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 |
2 |
['github-actions'] |
joneugster assignee:joneugster |
14-81457 14 days ago |
96-49017 96 days ago |
96-49604 96 days |
| 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 |
123/19 |
Mathlib/Analysis/Normed/Field/Dense.lean,Mathlib/Analysis/Normed/Module/Completion.lean,Mathlib/NumberTheory/Padics/Complex.lean |
3 |
8 |
['YijunYuan', 'github-actions', 'pechersky'] |
nobody |
14-80553 14 days ago |
36-56997 36 days ago |
37-31160 37 days |
| 42505 |
attilavjda author:attilavjda |
chore(Algebra/Tropical/Basic): deduplicate five pairs of lemmas |
`On a LinearOrder`, `⊓`/`⊔` are `min`/`max`, so `trop_inf`, `untrop_sup`, `inf_eq_add`, and `trop_sup_def` are the same statements as `trop_min`, `untrop_max`, `min_eq_add`, and `trop_max_def`, respectively (three duplicated `simp` lemmas). Likewise, `injective_trop`/`injective_untrop` duplicate `trop_injective`/`untrop_injective`. The removed lemmas become deprecated aliases.
[I used Aristotle AI](https://github.com/attilavjda/formal-contributions/blob/main/tropical_dedup_lemmas/RequestProject/TropicalDedup.lean) it helped find the duplicates, and generated the solutions, verified the equivalences, and helped in understanding the proofs, and meaning of the refactor.
---
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|
new-contributor
t-algebra
LLM-generated
label:t-algebra$ |
8/17 |
Mathlib/Algebra/Tropical/Basic.lean |
1 |
2 |
['github-actions', 'wwylele'] |
nobody |
14-47570 14 days ago |
20-13245 20 days ago |
20-17104 20 days |
| 40472 |
karlesmarin author:karlesmarin |
feat(Combinatorics/SimpleGraph): oriented incidence matrix and the La… |
# feat(Combinatorics/SimpleGraph): oriented incidence matrix and the Laplacian factorization
## Summary
Adds the **oriented incidence matrix** of a simple graph and the standard **Gram factorization
of the graph Laplacian**:
- **`SimpleGraph.orientedIncMatrix R : Matrix α (Sym2 α) R`** — in the column of an edge
`e = s(u, w)` with `u < w`: `+1` at row `w` (the larger endpoint), `-1` at row `u`, `0`
elsewhere; columns of non-edges are zero. Orientation induced by a `LinearOrder` on the
vertex type.
- **`SimpleGraph.orientedIncMatrix_mul_transpose`** — `N * Nᵀ = G.lapMatrix R` (= `D − A`).
- Supporting API mirroring `incMatrix`: `orientedIncMatrix_apply`,
`orientedIncMatrix_of_notMem_incidenceSet`, `orientedIncMatrix_mul_self`
(the square of an entry is the unoriented `incMatrix` entry), and the two sign lemmas
`orientedIncMatrix_apply_mul_apply_of_adj` (product of the two endpoint entries = `-1`),
`orientedIncMatrix_apply_add_apply_of_adj` (their sum = `0`), plus
`orientedIncMatrix_apply_mul_apply_of_ne` (vanishing away from the common edge).
## Why
Mathlib has the unoriented `G.incMatrix`, whose Gram matrix is the **signless** Laplacian
`D + A` (`incMatrix_mul_transpose_diag` ff.), and it has `G.lapMatrix = D − A` with its kernel
theory — but no object connecting the two. The oriented incidence matrix is that object, and
`N Nᵀ = D − A` is the factorization behind: positive semidefiniteness of the Laplacian as a
Gram fact, Kirchhoff/matrix-tree determinant arguments (via Cauchy–Binet on the reduced
factorization), and total unimodularity of incidence matrices.
## Design notes
- The fixed smaller→larger orientation is harmless: any orientation gives the same Gram matrix
(each edge contributes `(±1)²` on the diagonal and `(+1)(−1)` off it). This is stated in the
module docstring; no orientation-genericity machinery is introduced.
- The headline proof is entrywise: the diagonal reduces to `sum_incMatrix_apply` (= degree)
through `orientedIncMatrix_mul_self`; an off-diagonal `(u, w)` entry is supported on the
single column `s(u, w)`, handled by `Finset.sum_eq_single` and the sign lemmas.
- `[Ring R]` for the API section (signs need negation); the definition itself only needs
`[Zero R] [One R] [Neg R]`.
## Files / placement
- `Mathlib/Combinatorics/SimpleGraph/OrientedIncMatrix.lean` (new)
- `Mathlib.lean` (+1 import line)
## Verification
- `lake env lean` on the file: clean, zero warnings.
- `#print axioms SimpleGraph.orientedIncMatrix_mul_transpose` → 3 standard axioms.
- The factorization and the downstream matrix-tree chain were validated numerically in exact
arithmetic (SageMath) before formalization.
Downstream context: DOI [10.5281/zenodo.20629746](https://doi.org/10.5281/zenodo.20629746).
|
new-contributor
LLM-generated
|
157/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/OrientedIncMatrix.lean |
2 |
1 |
['github-actions'] |
nobody |
14-37667 14 days ago |
77-24574 77 days ago |
77-24654 77 days |
| 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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|
new-contributor |
3/0 |
docs/1000.yaml |
1 |
3 |
['github-actions'] |
nobody |
14-36708 14 days ago |
24-14921 24 days ago |
24-14908 24 days |
| 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
|
168/0 |
Mathlib.lean,Mathlib/Analysis/ODE/Peano.lean |
2 |
2 |
['github-actions'] |
nobody |
14-36200 14 days ago |
14-36759 14 days ago |
30-30965 30 days |
| 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
easy
label:t-algebra$ |
14/0 |
Mathlib/Algebra/Ring/GeomSum.lean |
1 |
4 |
['github-actions', 'matt-w-horn'] |
nobody |
14-3875 14 days ago |
14-5038 14 days ago |
14-5025 14 days |
| 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
|
229/6 |
Mathlib.lean,Mathlib/Algebra/Star/CHSH.lean,Mathlib/Analysis/Matrix/CHSH.lean |
3 |
8 |
['github-actions', 'stalex444', 'vihdzp'] |
nobody |
14-2027 14 days ago |
40-82040 40 days ago |
40-82027 40 days |
| 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 |
13-83316 13 days ago |
13-84656 13 days ago |
26-1978 26 days |
| 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'] |
RemyDegenne assignee:RemyDegenne |
13-81446 13 days ago |
49-4499 49 days ago |
49-4486 49 days |
| 42719 |
justinhalford author:justinhalford |
feat(LinearAlgebra/BilinearForm): totally isotropic subspaces have dimension at most half |
Adds one lemma to `Mathlib/LinearAlgebra/BilinearForm/Orthogonal.lean`:
```lean
lemma two_mul_finrank_le_of_le_orthogonal (hB : B.Nondegenerate) {W : Submodule K V}
(hW : W ≤ B.orthogonal W) : 2 * finrank K W ≤ finrank K V
```
A subspace contained in its own orthogonal complement — a *totally isotropic* subspace — has dimension at most half the dimension of the ambient space, when `B` is nondegenerate.
### Why
This is the standard dimension bound underlying the Witt decomposition, and it is the missing step in a number of applications: the Eventown theorem in extremal combinatorics, bounds on self-orthogonal linear codes, and dimension bounds for isotropic subspaces of quadratic forms. Searching for `totally isotropic` / `IsotropicSubmodule` / `isTotallyIsotropic` in Mathlib returns nothing, so as far as I can tell the bound is not currently available in any form.
The hypothesis is deliberately phrased as `W ≤ B.orthogonal W` rather than introducing a new `IsTotallyIsotropic` predicate, so that it composes directly with the existing `orthogonal` API and needs no new definitions.
### Proof
Three existing lemmas and arithmetic: `Submodule.finrank_mono` on the hypothesis, `finrank_orthogonal` (immediately above it in the same file), and `Submodule.finrank_le`. It sits directly after `finrank_orthogonal`, whose statement it consumes.
### Verification
Compiles against `master` with no errors or warnings. `#print axioms` reports only `[propext, Classical.choice, Quot.sound]`. No new imports, no new definitions — `+9 -0` in a single file.
### Disclosure
Written with AI assistance (Claude Opus 5) and checked against the Lean kernel; I have read the statement and proof through before submitting. Happy to rename or restate as maintainers prefer — in particular if there is an appetite for an `IsTotallyIsotropic` predicate, I am glad to add one and state this in those terms instead.
### Related
Companion to #42718 (the linear algebra method and Oddtown), which will use this bound for the Eventown theorem, but the two are independent and this one stands alone.
|
t-algebra
new-contributor
label:t-algebra$ |
9/0 |
Mathlib/LinearAlgebra/BilinearForm/Orthogonal.lean |
1 |
2 |
['github-actions'] |
nobody |
13-47323 13 days ago |
13-47931 13 days ago |
13-47918 13 days |
| 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 |
2 |
['github-actions'] |
nobody |
13-45733 13 days ago |
13-47494 13 days ago |
13-47481 13 days |
| 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 |
13-44224 13 days ago |
13-48708 13 days ago |
13-48695 13 days |
| 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.
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.]
This PR is a pure addition: nothing is removed and no existing signature changes. `TopologicalSpace.Opens.CompleteCopy` and `IsOpen.polishSpace` are untouched, so the open case is still proved independently rather than derived from this result.
---
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'] |
nobody |
13-29506 13 days ago |
14-20279 14 days ago |
14-20266 14 days |
| 42737 |
Jack1320 author:Jack1320 |
feat(Algebra/Order/Kleene): add Kleene algebra instances for MulOppos… |
Add IdemSemiring, IdemCommSemiring, and KleeneAlgebra instances for MulOpposite, AddOpposite, and ULift, partially addressing #7987.
In accordance to the AI disclosure guidelines - Claude was used as a learning aid, but all code is personally written and reasoned through.
The remaining instances (Subsemiring, Subring, Subalgebra) are deferred to a follow-up PR.
|
t-algebra
new-contributor
label:t-algebra$ |
100/2 |
Mathlib/Algebra/Order/Kleene.lean |
1 |
2 |
['github-actions'] |
nobody |
13-24705 13 days ago |
13-26724 13 days ago |
13-28059 13 days |
| 42483 |
bocowgill author:bocowgill |
feat(Topology/MetricSpace/HausdorffDistance): characterize joint minimizers via infDist |
This PR adds two results connecting a generic pseudometric-space profiling principle with orthogonal projection in an inner-product space.
- `Metric.exists_forall_dist_le_iff_forall_infDist_le` gives a generic pseudometric-space attainment/profiling theorem. Assuming the distance from `a` to `U` is attained, it characterizes when `a` can be paired with some `u ∈ U` whose distance is no greater than the distance between any pair in `A × U`. This is possible precisely when `Metric.infDist a U ≤ Metric.infDist a' U` for every `a' ∈ A`. When `a ∈ A`, this characterizes joint minimizers over `A × U`.
- `Submodule.norm_starProjection_orthogonal_eq_infDist` identifies the norm of the orthogonal projection onto `Uᗮ` with the point-to-set distance `Metric.infDist y U`, providing a bridge between the inner-product-space projection API and the generic pseudometric-space theorem.
A later intended application is partialling-out and the Frisch–Waugh–Lovell theorem. There, one can specialize the comparison set and distinguished point to
`A = Set.range (fun z' ↦ y - f z')`
and
`a = y - f z`,
and use the projection-to-`infDist` bridge to translate between orthogonal-residual norms and the generic profiling theorem. The regression-parameterized specialization itself is not part of this PR.
---
### Motivation
These lemmas separate the general profiling argument from the inner-product-space structure used in orthogonal-projection applications.
- The pseudometric-space result shows that, when the distance from `a` to `U` is attained, the `U` variable can be profiled out: finding a pair `(a, u)` whose distance is bounded by every pair in `A × U` reduces to comparing `Metric.infDist a U` with `Metric.infDist a' U` for every `a' ∈ A`. When `a ∈ A`, this is a joint-minimization characterization.
- The inner-product-space result identifies the norm of the orthogonal residual with `Metric.infDist`, providing the bridge needed to apply the generic profiling theorem to orthogonal-projection problems.
This separation is intended to support later formalizations of least squares, regression, and partialling-out/FWL arguments while keeping the profiling theorem independent of linear structure and of any particular parameterization of the comparison set.
### LLM disclosure
For theorem planning and Lean implementation, I used OpenAI Codex substantially. I also used it for suggestions around naming and documentation, for iterating on the proofs, responding to review feedback, and validating my commits locally.
I manually searched for the best locations and earlier results to build upon. I personally reviewed 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 two theorems' proofs.
For the current revision, I ran targeted builds of `Mathlib.Topology.MetricSpace.HausdorffDistance` and `Mathlib.Analysis.InnerProductSpace.Projection.Basic`, as well as the style linter and the environment linter. I performed a `git diff --check`. I also inspected the inferred declaration signatures and axiom dependencies, and compiled a scratch proof recovering the original regression-parameterized statement from the new generic pseudometric-space theorem. Earlier in development, before the reviewer-driven refactor, I also completed a full `lake build` and a full `lake test`.
Please note: This is one of my earliest 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-analysis
LLM-generated
new-contributor
|
29/0 |
Mathlib/Analysis/InnerProductSpace/Projection/Basic.lean,Mathlib/Topology/MetricSpace/HausdorffDistance.lean |
2 |
13 |
['bocowgill', 'github-actions', 'j-loreaux', 'wwylele'] |
nobody |
13-18966 13 days ago |
13-18966 13 days ago |
20-34489 20 days |
| 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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[](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 |
13-6186 13 days ago |
22-27619 22 days ago |
24-69126 24 days |
| 40368 |
Sanghyeok0 author:Sanghyeok0 |
feat: add confluence predicates for relations |
This PR adds a minimal relation-level API for confluence-style properties:
* `Relation.Diamond`
* `Relation.Confluent`
* `Relation.ChurchRosser`
It also adds the basic API connecting these predicates:
* `Relation.ReflTransGen.to_eqvGen`
* `Relation.Join.to_eqvGen`
* `Relation.ChurchRosser.confluent`
* `Relation.Confluent.churchRosser`
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*.
---
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-->
[](https://gitpod.io/from-referrer/)
|
t-logic
new-contributor
|
79/5 |
Mathlib/Logic/Relation.lean |
1 |
8 |
['Sanghyeok0', 'chenson2018', 'github-actions', 'mathlib-merge-conflicts'] |
fpvandoorn assignee:fpvandoorn |
12-81457 12 days ago |
38-39341 38 days ago |
61-51119 61 days |
| 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'] |
urkud assignee:urkud |
12-81457 12 days ago |
56-737 56 days ago |
56-724 56 days |
| 42674 |
theebayuser author:theebayuser |
feat(Geometry/Euclidean): add the geometric mean theorem |
Hello, this PR adds the geometric mean theorem to
Mathlib/Geometry/Euclidean/Angle/Unoriented/RightAngle.lean, with the iff form and
the leg form, and records it in docs/1000.yaml (Q2226868). Statements use ^ 2
per review guidance on #42518.
This PR was written with AI assistance (Claude Code)
|
t-euclidean-geometry
new-contributor
LLM-generated
|
46/1 |
Mathlib/Geometry/Euclidean/Angle/Unoriented/RightAngle.lean,docs/1000.yaml |
2 |
6 |
['github-actions', 'theebayuser', 'wwylele'] |
jsm28 assignee:jsm28 |
12-73690 12 days ago |
14-63370 14 days ago |
14-63357 14 days |
| 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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any "Co-authored-by" lines) using the following format:
Moves:
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- ...
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'] |
nobody |
12-27788 12 days ago |
45-12905 45 days ago |
46-67594 46 days |
| 38310 |
ZRTMRH author:ZRTMRH |
feat(Combinatorics/Quiver/Schreier): word evaluation and reachability |
Adds word evaluation and reachability results to the Schreier graph API.
* `SchreierGraph.evalWord` : evaluates a word `List (S × Bool)` as an element of the ambient group, where `(s, true)` contributes `ι s` and `(s, false)` contributes `(ι s)⁻¹`.
* `SchreierGraph.evalWord_eq_lift` : agreement with `FreeGroup.lift`.
* `SchreierGraph.evalWord_mem_closure` : every word evaluates into the subgroup generated by `ι`.
* `SchreierGraph.pathFromWord` : a Bool-tagged word yields a path in `Symmetrify (SchreierGraph V ι)` from `x` to `evalWord ι w • x`.
* `SchreierGraph.reachable_iff` : two vertices are connected by a path in the symmetrification iff some element of the subgroup closure carries one to the other.
Follow-up to #36320.
This PR was written with AI assistance (Claude). The code has been reviewed by the author.
---
- [x] depends on: #41849
<!-- Your PR title will become the first line of the commit message.
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-combinatorics
large-import
LLM-generated
maintainer-merge
|
125/0 |
Mathlib/Combinatorics/Quiver/Schreier.lean |
1 |
26 |
['YaelDillies', 'ZRTMRH', 'github-actions', 'mathlib-dependent-issues'] |
nobody |
11-84934 11 days ago |
13-78672 13 days ago |
113-28130 113 days |
| 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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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:
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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:
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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below the `---`, and placed outside this HTML comment, or else they
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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'] |
nobody |
11-76678 11 days ago |
11-77320 11 days ago |
11-79941 11 days |
| 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 |
11-25690 11 days ago |
11-28385 11 days ago |
11-28492 11 days |
| 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 |
11-10328 11 days ago |
12-79629 12 days ago |
12-79616 12 days |
| 42133 |
joelkronqvist author:joelkronqvist |
feat(Order/Interval/Set/LinearOrder): add thms for unions of adjacent intervals |
This PR adds four new lemmas stating that for two nonempty intervals with a common endpoint, taking their union is equal to removing that common endpoint from a larger interval.
I use the fact `Ioo_union_Ioo_eq_Ioo_sdiff_singleton` in [ExtremeValueProject](https://github.com/joelkronqvist/ExtremeValueProject/commits/kandi-linear_of_additive_of_le_on_measure_pos).
I could also add versions of these lemmas for half-open intervals to this PR. Should I do it? I haven't added them yet because I suspect their proofs are quite repetitive and I'd like to get feedback on the first four additions to reduce the need of repetitive rewrites. Where would they belong? Probably not in a section that is concerned with two finite intervals with a common point. This addition would add 5 more proofs for `Iio ∪ Ioi`, `Ioo ∪ Ioi`, `Iio ∪ Ioo`, `Ico ∪ Ioi` and `Iio ∪ Ioc`.
Co-authored-by: Kalle Kytölä <kalle.kytola@aalto.fi>
---
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In this box, the text above the `---` (if not empty) will be appended
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[](https://gitpod.io/from-referrer/)
|
t-order
new-contributor
maintainer-merge
|
32/0 |
Mathlib/Order/Interval/Set/LinearOrder.lean |
1 |
4 |
['Ruben-VandeVelde', 'felixpernegger', 'github-actions', 'joelkronqvist', 'wwylele'] |
nobody |
11-8033 11 days ago |
30-40631 30 days ago |
30-40618 30 days |
| 39868 |
JuanCoRo author:JuanCoRo |
feat(Algebra/Polynomial): linearity of `divByMonic` and adjacent results |
---
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This PR adds the `R`-linearity of the monic polynomial division map `_ /ₘ q`. It also adds adjacent results that stem from this work.
#### Refactors:
- Reuses the proofs from `add_modByMonic` and `smul_modByMonic` to generalize these results to `add_div_modByMonic` and `smul_div_modByMonic` respectively.
- Replaces the proofs of `add_modByMonic` and `smul_modByMonic` as specializations of the more general theorems `add_div_modByMonic` and `smul_div_modByMonic` respectively.
#### Additions:
- Adds the necessary results for `_ /ₘ q` linearity:
- `add_divByMonic : (p₁ + p₂) /ₘ q = p₁ /ₘ q + p₂ /ₘ q`
- `smul_divByMonic : c • p /ₘ q = c • (p /ₘ q)`
- Adds `_ /ₘ q` as an `R`-linear map:
- `divByMonicHom`: definition of `_ /ₘ q` as a linear map
- `mem_ker_divByMonic`: kernel characterization for `_ /ₘ q`.
- In `Div.lean` adds dual results for `/ₘ` that were already present for `%ₘ`
- `neg_divByMonic : (-p) /ₘ q = -(p /ₘ q)`
- `sub_divByMonic : (p₁ - p₂) /ₘ q = p₁ /ₘ q - p₂ /ₘ q`
- `mul_divByMonic_assoc (hd : q ∣ p₂) : (p₁ * p₂) /ₘ q = p₁ * (p₂ /ₘ q)`
While `mul_divByMonic_assoc` is not exactly the dual of `mul_modByMonic`, I thought it wouldn't hurt to add it.
[](https://gitpod.io/from-referrer/) |
new-contributor
t-algebra
label:t-algebra$ |
54/17 |
Mathlib/Algebra/Polynomial/Div.lean,Mathlib/Algebra/Polynomial/RingDivision.lean |
2 |
8 |
['JuanCoRo', 'github-actions', 'wwylele'] |
joelriou assignee:joelriou |
10-81458 10 days ago |
89-43817 89 days ago |
89-43883 89 days |
| 40495 |
gw90 author:gw90 |
feat: weighted graphs with killing term |
Adding basic definitions and API for weighted graphs and weighted graphs with killing term.
---
My goal is to develop the basic theory from the beginning of [this textbook](https://www.math.uni-potsdam.de/fileadmin/user_upload/Prof-GraphTh/Keller/KellerLenzWojciechowski_GraphsAndDiscreteDirichletSpaces_wu_version.pdf). I also have some definitions and lemmas regarding Dirichlet forms and Laplacians to PR later, but I tried to pare down this first PR as much as possible. It currently has only 4 main definitions and sufficient API to demonstrate their correctness.
Note that I did not use [SimpleGraph.edgeLabeling](https://leanprover-community.github.io/mathlib4_docs/find/?pattern=SimpleGraph.EdgeLabeling#doc) for the edgeWeight function because it is important that vertices that are not adjacent have an edge weight of zero. That is, the edgeWeight must be defined for all pairs of vertices and respect the underlying adjacency relation on the graph.
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
368/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Weighted/Basic.lean,docs/references.bib |
3 |
2 |
['github-actions'] |
b-mehta assignee:b-mehta |
10-81457 10 days ago |
75-79120 75 days ago |
75-79107 75 days |
| 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'] |
nobody |
10-29667 10 days ago |
10-42433 10 days ago |
10-42420 10 days |
| 42534 |
gloges author:gloges |
feat(LinearAlgebra/MultilinearMap): generalize `MultilinearMap` with common `RingHom` |
Generalizes multilinear maps to multi-semilinear maps.
In analogy with `LinearMap σ M N`, `MultilinearMap σ M N` is the space of multilinear maps from the `R`-module `∀ i, M i` to the `S`-module `N` over a ring homomorphism `σ : R →+* S`: fixing all but one coordinate gives a map `M i →ₛₗ[σ] N`.
Both `ContinuousLinearMap` and `AlternatingMap` extend `MultilinearMap` and are left defined in terms of `RingHom.id`.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor |
679/616 |
Mathlib/Analysis/Analytic/Composition.lean,Mathlib/Analysis/Analytic/Inverse.lean,Mathlib/Analysis/Calculus/ContDiff/FaaDiBruno.lean,Mathlib/Analysis/Normed/Module/Multilinear/Basic.lean,Mathlib/Analysis/Normed/Module/Multilinear/Curry.lean,Mathlib/LinearAlgebra/Alternating/Basic.lean,Mathlib/LinearAlgebra/Alternating/DomCoprod.lean,Mathlib/LinearAlgebra/Multilinear/Basic.lean,Mathlib/LinearAlgebra/Multilinear/Basis.lean,Mathlib/LinearAlgebra/Multilinear/Curry.lean,Mathlib/LinearAlgebra/Multilinear/DFinsupp.lean,Mathlib/LinearAlgebra/Multilinear/DirectSum.lean,Mathlib/LinearAlgebra/Multilinear/FiniteDimensional.lean,Mathlib/LinearAlgebra/Multilinear/Finsupp.lean,Mathlib/LinearAlgebra/Multilinear/Pi.lean,Mathlib/LinearAlgebra/Multilinear/TensorProduct.lean,Mathlib/LinearAlgebra/PiTensorProduct/Basic.lean,Mathlib/LinearAlgebra/PiTensorProduct/DFinsupp.lean,Mathlib/LinearAlgebra/PiTensorProduct/Generators.lean,Mathlib/LinearAlgebra/TensorAlgebra/Basic.lean,Mathlib/LinearAlgebra/TensorPower/Pairing.lean,Mathlib/LinearAlgebra/TensorPower/Symmetric.lean,Mathlib/RingTheory/PiTensorProduct.lean,Mathlib/Topology/Algebra/Module/Multilinear/Basic.lean |
24 |
16 |
['eric-wieser', 'github-actions', 'gloges', 'themathqueen'] |
nobody |
10-29014 10 days ago |
10-35994 10 days ago |
18-62093 18 days |
| 42808 |
rshlyakh author:rshlyakh |
feat(Algebra/MonoidAlgebra/Grading): add decomposition lemma |
Adds a `simp` lemma about the decomposition of the `AddMonoidAlgebra R M` grading.
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
10/0 |
Mathlib/Algebra/MonoidAlgebra/Grading.lean |
1 |
4 |
['github-actions', 'wwylele'] |
nobody |
10-25066 10 days ago |
11-934 11 days ago |
11-1532 11 days |
| 38534 |
AlexeyMilovanov author:AlexeyMilovanov |
refactor(Computability): make `PFun` a one-field structure |
This PR refactors `PFun` from `def PFun α β := α → Part β` to a structure with a `FunLike` instance.
[Discussion](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Fix.20for.20fun_prop.20on.20PFun.20.28context.3A.20Computability.20Theory.29)
### Main changes
* `PFun` is now a structure with a single field `toFun : α → Part β`.
* Added the `FunLike (α →. β) α (Part β)` instance and `initialize_simps_projections`.
* Added the basic projection/application simp lemmas needed for the structure wrapper.
* Definitions which used to return raw lambdas as partial functions now explicitly use `PFun.mk` or `PFun.lift`.
* Equality proofs for partial functions now use `PFun.ext` / `DFunLike.ext` where `funext` no longer applies directly.
### Downstream impact
The refactor mainly impacts Computability Theory and Category Theory (`Category/PartialFun.lean`). Since `PFun` is no longer definitionally equal to `α → Part β`, tactics such as `rfl`, `simp`, and `funext` can no longer always see through the old raw-function representation.
As a result, several proofs (e.g. `fix_aux`, `ppred`, `mem_eval`, and `unitIso`) grew in size, requiring explicit `ext` + `simp` breakdowns. I tried to keep these proof changes minimal; further golfing suggestions are very welcome. It seems that fully recovering the old brevity in some places may require additional `PFun`-specific API/congruence support, which I avoided adding in this PR to keep the diff minimal.
### Affected files
* **Core:** `Mathlib/Data/PFun.lean`
* **Computability:** `Partrec`, `PartrecBasis`, `PartrecCode`, `RE`, `RecursiveIn`, `Ackermann`, `StateTransition`, `TuringDegree`, `TuringMachine/Config`
* **Category Theory:** `Category/PartialFun.lean`
* **Other:** `Data/Finset/PImage.lean`, `NumberTheory/Dioph.lean`
This also removes the previous `set_option linter.flexible false` workaround and the local transparency workaround in `TuringMachine/Config.lean`, as well as the local transparency workarounds in `Category/PartialFun.lean`.
### Note on LLM usage
The core `PFun` change caused numerous downstream errors. I initially used an LLM to help draft fixes for these files. Afterwards, I spent a significant amount of time manually correcting and modifying all of the generated changes.
|
new-contributor
t-computability
tech debt
LLM-generated
maintainer-merge
|
565/491 |
Mathlib/CategoryTheory/Category/PartialFun.lean,Mathlib/Computability/Ackermann.lean,Mathlib/Computability/Partrec.lean,Mathlib/Computability/PartrecBasis.lean,Mathlib/Computability/PartrecCode.lean,Mathlib/Computability/RE.lean,Mathlib/Computability/RecursiveIn.lean,Mathlib/Computability/StateTransition.lean,Mathlib/Computability/TuringDegree.lean,Mathlib/Computability/TuringMachine/Config.lean,Mathlib/Data/Finset/PImage.lean,Mathlib/Data/PFun.lean,Mathlib/NumberTheory/Dioph.lean |
13 |
68 |
['AlexeyMilovanov', 'JovanGerb', 'YaelDillies', 'dagurtomas', 'github-actions', 'j-loreaux', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
10-10934 10 days ago |
10-11509 10 days ago |
94-61937 94 days |
| 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 |
9-80554 9 days ago |
31-68596 31 days ago |
55-51918 55 days |
| 42783 |
barni120400 author:barni120400 |
feat(Algebra/MvPolynomial): partial derivatives commute |
Add `MvPolynomial.pderiv_comm`: partial derivatives of a multivariate polynomial commute.
🤖 Prepared with Claude Code
|
t-algebra
new-contributor
LLM-generated
label:t-algebra$ |
10/0 |
Mathlib/Algebra/MvPolynomial/PDeriv.lean |
1 |
2 |
['github-actions', 'wwylele'] |
nobody |
9-51541 9 days ago |
12-4817 12 days ago |
12-4855 12 days |
| 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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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/)
|
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 |
9-48086 9 days ago |
15-51796 15 days ago |
18-69975 18 days |
| 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'] |
sgouezel assignee:sgouezel |
9-10161 9 days ago |
20-30140 20 days ago |
72-75174 72 days |
| 42881 |
forxhunter author:forxhunter |
feat(Analysis/SpecialFunctions/Gamma): Mittag-Leffler expansion of the Beta function |
For `0 < re u` and `0 < re v`, the Beta function admits the classical absolutely
convergent partial-fraction (Mittag-Leffler) expansion over its poles in the first
variable:
`Β(u, v) = ∑' n : ℕ, Ring.choose (n - v) n / (n + u)` (`Complex.hasSum_betaIntegral`),
where `Ring.choose (n - v) n = (1 - v)⁽ⁿ⁾ / n!` is the `n`-th binomial-series
coefficient of `x ↦ (1 - x) ^ (v - 1)`. The proof expands the Euler integral
`Complex.betaIntegral` by the binomial series
(`Complex.one_div_one_sub_cpow_hasFPowerSeriesOnBall_zero`) and integrates term by
term via `MeasureTheory.hasSum_integral_of_summable_integral_norm`.
Main new results, in `Mathlib/Analysis/SpecialFunctions/Gamma/BetaMittagLeffler.lean`:
* `Ring.choose_add_natCast_eq_prod_range`:
`Ring.choose (t + n) n = ∏ k < n, (t + k + 1) / (k + 1)` in a characteristic-zero
field (the rising-factorial form `(t + 1)⁽ⁿ⁾ / n!` with the factorial distributed
into the product).
* `Complex.norm_ringChoose_add_natCast_le`: the Stirling-free growth bound
`‖Ring.choose (t + n) n‖ ≤ Real.exp (normSq t) * (n + 1) ^ t.re` for `t.re ≤ 0`.
Mathlib has no complex Stirling formula and no `Γ`-ratio asymptotics, so the
textbook route via `Ring.choose (t + n) n ∼ n ^ t / Γ (t + 1)` is unavailable; the
proof instead applies `Real.log (1 + u) ≤ u` to each factor of the product above and
sums against `Real.log (n + 1) ≤ harmonic n` and the telescoping bound
`∑ k < n, 1 / (k + 1) ^ 2 ≤ 2 - 2 / (n + 1)`. This bound is what makes the pole
series absolutely convergent (`Complex.summable_norm_ringChoose_div`) for
`t.re < 0`, a restriction that is sharp: at `t = 0` the series is harmonic.
* `Complex.hasSum_ringChoose_mul_pow`: the binomial series
`(1 - x) ^ (-t - 1) = ∑' n, Ring.choose (t + n) n * x ^ n` on the open unit disc,
in `HasSum` form.
* `integral_Ioo_cpow` / `integral_Ioo_rpow`: `∫ x in Ioo 0 1, x ^ w = 1 / (w + 1)`,
`Ioo`-restricted versions of `integral_cpow` / `integral_rpow`.
Motivation: this arises from an ongoing Lean formalization of dispersion relations
and positivity bounds in effective field theory, where the Beta function (the
tree-level Veneziano amplitude at fixed momentum transfer) serves as the witness for
a dispersive spectral representation; the expansion above is exactly its pole/residue
form. The material here is the physics-free analytic core, stated purely in terms of
`Complex.betaIntegral` and `Ring.choose`.
**AI disclosure**: this PR was substantially generated with Claude Code (Anthropic) —
proof scripts, the Stirling-free bounding strategy, and the port to current master.
It is opened as a **draft** while the human author reviews the content; it will be
marked ready only after that review, per the policy that contributors must understand
and be able to defend AI-assisted contributions. The `LLM-generated` label applies
and should be added by a maintainer.
awaiting-author items (will be resolved before marking ready):
- [x] Author review of the full file per the AI-contribution policy: done.
- [x] The `Authors:` line is finalized as `Tianyu (forxhunter)`
- [ ] If reviewers prefer, `Ring.choose_add_natCast_eq_prod_range` can move to
`Mathlib/RingTheory/Binomial.lean` and `integral_Ioo_cpow` / `integral_Ioo_rpow`
to `Mathlib/Analysis/SpecialFunctions/Integrals/Basic.lean`; they are kept in the
new file for now to keep the PR single-file.
---
Possible follow-ups (not in this PR): positivity of `Ring.choose (t + n) n` for real
`t > -1` (and its sharpness at `t < -1`), and the residue identification of
`u ↦ Β(u, v)` at `u = -n` as a `Tendsto`/`meromorphicAt` statement.
|
new-contributor
t-analysis
|
425/0 |
Mathlib.lean,Mathlib/Analysis/SpecialFunctions/Gamma/BetaMittagLeffler.lean |
2 |
2 |
['github-actions'] |
nobody |
9-9351 9 days ago |
9-9945 9 days ago |
9-10122 9 days |
| 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 |
9-5025 9 days ago |
9-14514 9 days ago |
24-8108 24 days |
| 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.
---
<!-- 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
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Please ask for help on https://leanprover.zulipchat.com if needed.
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Moves:
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- ...
Deletions:
- Nat.bit1_add_bit1
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-->
- [x] depends on: #37714
[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
169/142 |
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 |
16 |
['github-actions', 'leanprover-radar', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mortarsanjaya', 'themathqueen'] |
jjdishere assignee:jjdishere |
8-81459 8 days ago |
8-85739 8 days ago |
69-41921 69 days |
| 40791 |
vvvv-ops author:vvvv-ops |
feat(RingTheory/DedekindDomain): dirichlet's s-unit theorem |
Proves the `Future work` of `RingTheory/DedekindDomain/SInteger.lean`: finite generation of `S`-units and Dirichlet's `S`-unit theorem.
For a Dedekind domain `R` with fraction field `K` and a finite set `S` of height-one primes, this adds the `S`-valuation map `Set.unitValuation` with kernel the `∅`-units (`Set.unitValuation_ker`), finite generation `Set.unit_fg`, and the exact rank `Set.finrank_eq`: `finrank ℤ (Additive 𝒪_{K,S}ˣ) = finrank ℤ (Additive 𝒪_Kˣ) + |S|`, plus the number-field specialisation `Set.unit_finrank_numberField` (`= (r₁ + r₂ - 1) + |S|`). The proof uses the short exact sequence `1 → 𝒪_Kˣ → 𝒪_{K,S}ˣ → ⊕_{v∈S} ℤ`: the kernel is the units, and the image has finite index because its cokernel embeds in the (finite) class group.
The general finiteness helpers `Module.Finite.of_fg_ker_of_fg_range`, `CommGroup.fg_of_fg_ker_of_fg_range`, `Subgroup.fg_of_fg_commGroup` are included in the file for now — happy to move them to `RingTheory/Finiteness` / `GroupTheory/Finiteness` if preferred.
|
t-ring-theory
new-contributor
|
339/0 |
Mathlib.lean,Mathlib/RingTheory/DedekindDomain/SUnit.lean,scripts/noshake.json |
3 |
3 |
['github-actions'] |
jjdishere assignee:jjdishere |
8-81452 8 days ago |
68-68566 68 days ago |
68-68553 68 days |
| 41466 |
EzequielS2 author:EzequielS2 |
feat(Algebra/Order): stronger sublist product inequality via diff |
## Summary
Add `Sublist.prod_le_prod'_of_mem_diff` and `Sublist.sum_le_sum_of_mem_diff`.
## Test plan
- [x] `lake build` and `lake exe runLinter` on `Mathlib.Algebra.Order.BigOperators.Group.List`
|
t-algebra
new-contributor
label:t-algebra$ |
12/4 |
Mathlib/Algebra/Order/BigOperators/Group/List.lean |
1 |
7 |
['EzequielS2', 'github-actions', 'themathqueen', 'wwylele'] |
nobody |
8-78743 8 days ago |
8-81022 8 days ago |
50-11572 50 days |
| 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 |
8-49909 8 days ago |
9-62897 9 days ago |
9-77760 9 days |
| 42451 |
FawadHa1der author:FawadHa1der |
perf(Analysis/Distribution/SchwartzSpace): split denseRange_toLpCLM off Basic to shorten the longest pole |
Shortening the "longest pole" in the mathlib build. LLM help was used.
Per [lake prof report](https://speed.lean-lang.org/mathlib4-out/c8830a1d9ceaffabd7c8c7493d9a9be3ead6ea74/) SchwartzSpace/Basic.lean sits on the longest pole. With this change SchwartzSpace/Basic no longer imports SmoothApprox( which imported the whole manifold chain) hence shortening the longest pole by **23s** of ~502 s
denseRange_toLpCLM is moved to a new file SchwartzSpace/DenseLp.lean. |
t-analysis
new-contributor
longest-pole
|
58/16 |
Mathlib.lean,Mathlib/Analysis/Distribution/SchwartzSpace/Basic.lean,Mathlib/Analysis/Distribution/SchwartzSpace/DenseLp.lean,Mathlib/Analysis/Fourier/LpSpace.lean |
4 |
8 |
['FawadHa1der', 'github-actions', 'luigi-massacci', 'mathlib-merge-conflicts'] |
nobody |
8-28489 8 days ago |
8-30021 8 days ago |
15-44785 15 days |
| 42843 |
than4213 author:than4213 |
feat(Combinatorics/SimpleGraph): transition matrix of the simple random walk |
Adds SimpleGraph.walkMatrix, the transition matrix of the simple random walk on a graph: row v is the uniform distribution on the neighbours of v. This is SimpleGraph.adjMatrix with each row divided by G.degree v, turning adjacency counts into transition probabilities.
Main results are that the matrix is row stochastic, and hence so is G.walkMatrix ^ n — the latter follows immediately from Matrix.rowStochastic being a Submonoid.
Two choices worth flagging:
- Valued in ℚ. Every entry is (G.degree v)⁻¹, so nothing irrational arises. This keeps entries computable — #eval evaluates G.walkMatrix ^ n on a concrete graph.
- Placed in Combinatorics/SimpleGraph. The file imports no probability theory, only Mathlib.LinearAlgebra.Matrix.Stochastic, and sits alongside adjMatrix, incMatrix and lapMatrix.
The walk is undefined at isolated vertices, so the results take ∀ v, ¬ G.IsIsolated v.
Used Claude Code in the creation of this PR. |
t-combinatorics
new-contributor
LLM-generated
|
107/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/RandomWalk.lean |
2 |
8 |
['SnirBroshi', 'github-actions', 'than4213'] |
nobody |
8-28312 8 days ago |
8-29655 8 days ago |
8-85863 8 days |
| 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 |
8-21524 8 days ago |
8-38626 8 days ago |
8-39567 8 days |
| 42354 |
sankalpsthakur author:sankalpsthakur |
doc(Data/Rel): clarify the SetRel representation |
Rewrites the implementation-notes section explaining why `SetRel` represents relations as `Set (α × β)` rather than `α → β → Prop`. The previous text framed the two representations as competing, with the function form as default and `SetRel` mainly justified by dedicated notation. This reframes it around what each representation is *for*: the function form when a relation is primarily applied to arguments, the set-of-pairs form when the relation itself is manipulated as an object — with concrete examples (inverse as preimage, transport as image, union/intersection/complement/subset-order inherited from `Set`). Also fixes a stray double space.
Motivated by #39397.
### Validation
Documentation-only change (module docstring); no executable code touched.
Closes #39397
### AI/LLM disclosure
AI coding tools were used to help draft this change and PR description. I reviewed the complete change and the reasoning before submitting. |
t-data
new-contributor
LLM-generated
|
16/13 |
Mathlib/Data/Rel.lean |
1 |
4 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
7-68080 7 days ago |
7-70066 7 days ago |
24-50257 24 days |
| 42040 |
fqlx author:fqlx |
feat(NumberTheory): formalize Størmer's theorem on consecutive smooth numbers |
This PR formalizes the Størmer theorem on consecutive smooth numbers.
The new `Mathlib.NumberTheory.Stormer` module:
- develops the Pell/Lucas coefficient needed to study powers of Pell solutions;
- proves that a positive Pell solution whose `y`-coordinate has no prime factors outside the Pell parameter is fundamental;
- encodes consecutive `s`-factored numbers by three-valued prime-exponent data; and
- proves that the set of consecutive `s`-factored pairs is finite, establishes the refined global bound `3 ^ s.card - 2 ^ s.card`, and retains a stronger reusable bound for arbitrary finite subcollections.
The main public conclusions are:
- `card_consecutive_factoredNumbers_le_sub`: the reusable finite-set injection bound;
- `finite_consecutiveFactoredNumbers`: the traditional qualitative Størmer theorem; and
- `ncard_consecutiveFactoredNumbers_le_sub`: the strongest clean public conclusion for the complete set.
The implementation reuses the existing Pell and smooth-number APIs, keeps the core prime-index argument explicit, and includes the corresponding bibliography entry and umbrella import.
--------
AI tools, including OpenAI Codex and ChatGPT, were used extensively in preparing this contribution. They generated and revised substantial portions of the Lean implementation, assisted with proof decomposition and mathlib API discovery, helped iterate on compiler errors and refactoring, and helped draft the PR text.
I selected the theorem and scope, directed the iterations, reviewed the theorem statements and overall proof structure, and ran the listed Lean validation commands. I did not independently author or manually verify every low-level Lean proof step. On the linked self-assessment scale, I would classify this contribution as approximately Level 6: bots coded, human understands mostly.
|
t-number-theory
new-contributor
LLM-generated
|
861/0 |
Mathlib.lean,Mathlib/NumberTheory/Stormer.lean,docs/references.bib |
3 |
6 |
['fqlx', 'github-actions', 'grunweg'] |
nobody |
7-58598 7 days ago |
30-53166 30 days ago |
31-12186 31 days |
| 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'] |
nobody |
7-29655 7 days ago |
45-4932 45 days ago |
49-8314 49 days |
| 40498 |
wangying11123 author:wangying11123 |
feat(Geometry/Euclidean): unoriented angle eq of oriented angle eq |
This PR adds two theorems to Mathlib/Geometry/Euclidean/Angle/Oriented/Affine.lean
`angle_eq_of_oangle_eq`: If two oriented angles are equal, and the four endpoint pairs are nondegenerate, then the
corresponding unoriented angles are equal.
`angle_eq_of_oangle_eq_not_collinear`: If two oriented angles are equal, and the first triple is not collinear, then the
corresponding unoriented angles are equal. |
new-contributor |
22/0 |
Mathlib/Geometry/Euclidean/Angle/Oriented/Affine.lean |
1 |
6 |
['github-actions', 'plp127', 'wangying11123'] |
nobody |
7-27710 7 days ago |
7-30041 7 days ago |
61-22308 61 days |
| 42494 |
JadAbouHawili author:JadAbouHawili |
feat(Combinatorics/SimpleGraph/Connectivity): add edge reachability and connectivity numbers |
Define edge reachability and connectivity numbers with some basic API
Partially solves #34961
---
<!-- 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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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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Moves:
- Vector.* -> List.Vector.*
- ...
Deletions:
- Nat.bit1_add_bit1
- ...
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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]
-->
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-combinatorics
|
59/0 |
Mathlib/Combinatorics/SimpleGraph/Connectivity/EdgeConnectivity.lean |
1 |
91 |
['JadAbouHawili', 'SnirBroshi', 'github-actions', 'grunweg'] |
nobody |
6-81804 6 days ago |
8-23180 8 days ago |
15-78668 15 days |
| 41803 |
benjub author:benjub |
feat(Topology/order/IntermediateValue): continuous induction from sSup membership |
Add `mem_of_csSup_mem_of_forall_exists_gt`, that generalizes `IsClosed.mem_of_ge_of_forall_exists_gt` by weakening the closedness hypothesis to membership of the supremum. Derive `IsClosed.mem_of_ge_of_forall_exists_gt` from it.
---
This result was already in essence in `IsClosed.mem_of_ge_of_forall_exists_gt`, which uses closedness only to obtain membership of the supremum.
This new result does not require `[TopologicalSpace α] [OrderTopology α]` (it is purely order-theoretic), but I still placed it next to `IsClosed.mem_of_ge_of_forall_exists_gt`. I am open to moving it to another file if the reviewer sees fit.
There are cases where that more general lemma is needed, because closedness either does not hold or would be longer to prove. For instance, I need that generalization to shorten the proof in the draft PR #41552. |
t-topology
new-contributor
|
21/11 |
Mathlib/Topology/Order/IntermediateValue.lean |
1 |
3 |
['benjub', 'github-actions'] |
ADedecker assignee:ADedecker |
6-81454 6 days ago |
41-83340 41 days ago |
41-83327 41 days |
| 42963 |
teal-sea author:teal-sea |
feat(NumberTheory/LSeries): define Hardy's Z function |
Add Hardy's Z function as a real-valued function on `ℝ`, with the two
conjugation lemmas its construction needs.
---
`Z` is the standard real-valued function on the critical line: it has the same
modulus as `ζ (1/2 + i t)`, so its sign changes locate zeros of `ζ` on the line.
It is a standard object for formulating and proving results about zeros on the
critical line, and Mathlib currently has no way to talk about such a zero
directly.
The `Critical line theorem` entry in `docs/1000.yaml` carries no `decl:`, so
this is an area the library has recorded as wanted. This PR is not that theorem;
it is foundational infrastructure toward it, and the dependency chain is what
gives the three commits their shape: a critical line theorem is naturally
formulated using `Z`, `Z` needs conjugation symmetry for the completed zeta
function, and that needs conjugation symmetry for the Deligne archimedean
factors. Hence, in order:
1. `Complex.Gammaℝ_conj`, `Complex.Gammaℂ_conj` in `Gamma/Deligne.lean`, which
currently has no conjugation lemma for either Deligne factor.
2. `completedRiemannZeta_conj` in `ZetaAsymp.lean`, next to `riemannZeta_conj`.
For `0 < re s` it follows from `riemannZeta_conj` and `Gammaℝ_conj`; the
other half-plane follows from `completedRiemannZeta_one_sub` applied to
`1 - s`, which also covers the junk values at `0` and `1`.
3. `Mathlib/NumberTheory/LSeries/HardyZ.lean`, the definition and its API:
`abs_hardyZ`, `hardyZ_neg`, `hardyZ_eq_zero_iff`, `continuous_hardyZ`,
`ofReal_hardyZ`.
**On the choice of definition.** The textbook definition is
`Z t = exp (I * ϑ t) * ζ (1/2 + i t)`, with `ϑ` the Riemann–Siegel theta
function. That needs a continuous branch of `log Γ` along the critical line,
which Mathlib does not have, and the branch bookkeeping is most of the work.
Dividing `Λ` by the modulus of its archimedean factor gives the same function
without mentioning a branch: `Λ (1/2 + i t)` is real by `completedRiemannZeta_conj`
and `completedRiemannZeta_one_sub`, and `‖Γ_ℝ (1/2 + i t)‖` is a positive real.
Since `Γ_ℝ (1/2 + it) = π ^ (-1/4) * π ^ (-it/2) * Γ (1/4 + it/2)`, where the
first factor is a positive real and the second has modulus `1`, the quotient is
exactly `exp (I * ϑ t) * ζ (1/2 + i t)`; the module docstring spells this out.
`ϑ` itself can follow later.
I chose `ℝ → ℝ` because it is what the literature means by `Z` and it makes the
intermediate value theorem directly applicable. I raised this signature question
on Zulip in `#mathlib4` on 6 August and would still welcome opinions on it.
## Use of AI
I used Claude (Anthropic), via Claude Code. The mathematical route, defining
`Z` from `Λ` rather than from `exp (I ϑ) ζ`, to avoid the logarithm branch, is
one I worked out in my own research repository before this Lean was written, and that earlier Lean was also AI-assisted. Claude wrote most of the
proofs from that plan for this PR and found that the divisor is exactly `‖Γ_ℝ (1/2 + i t)‖`
rather than the expanded `π ^ (-1/4) * ‖Γ (1/4 + i t / 2)‖`, split the two
general lemmas out into their proper files, and adapted everything to house
style. I set the goal and the design, chose the file layout and the names, and
reviewed the result.
Builds against master with no errors or warnings; `lake exe lint-style` is clean
and `#lint` reports no errors. |
LLM-generated
new-contributor
|
209/0 |
Mathlib.lean,Mathlib/Analysis/SpecialFunctions/Gamma/Deligne.lean,Mathlib/NumberTheory/Harmonic/ZetaAsymp.lean,Mathlib/NumberTheory/LSeries/HardyZ.lean |
4 |
7 |
['github-actions', 'teal-sea', 'wwylele'] |
nobody |
6-79599 6 days ago |
6-86119 6 days ago |
6-86106 6 days |
| 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.
---
- [ ] 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 |
6-44396 6 days ago |
7-38241 7 days ago |
7-38525 7 days |
| 42916 |
0x00b1 author:0x00b1 |
feat(Analysis/Numerical): add (real-valued) bisection method |
Bisection method for real-valued functions on closed intervals. This is an exact, non-computable real-number formalization rather than a floating-point implementation. Nevertheless, I did try to make everything sufficiently flexible to simplify changes if floating-point is eventually added to mathlib4!
The core API represents each bisection state with endpoints in `Set.Icc a b`, ensuring that the function is never evaluated outside its domain. I provided a convenience API for functions `ℝ → ℝ` (on top of the interval-restricted core API). Degenerate intervals are also supported. I listed all the results that I think are important in the comments.
This is my first contribution to mathlib4 so please let me know if you have suggestions on improving either of the APIs and please let me know if you want me to add any real-valued theorems! Likewise, any suggestions on rewriting`dist_midpoint_step_midpoint` to feel less nasty would be appreciated.
---
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|
t-analysis
new-contributor
|
757/0 |
Mathlib.lean,Mathlib/Analysis/Numerical/Bisection.lean |
2 |
4 |
['0x00b1', 'github-actions', 'luigi-massacci'] |
luigi-massacci assignee:luigi-massacci |
6-29546 6 days ago |
8-14381 8 days ago |
8-14368 8 days |
| 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
large-import
maintainer-merge
|
73/3 |
Mathlib/Probability/HasCondDistrib.lean |
1 |
29 |
['CoolRmal', 'EtienneC30', 'bocowgill', 'github-actions', 'leanprover-radar'] |
kex-y assignee:kex-y |
6-27796 6 days ago |
6-72464 6 days ago |
29-64343 29 days |
| 42965 |
arihallak author:arihallak |
feat(Analysis/Normed/Group/Pointwise): diameter of pointwise inversion, multiplication, and division |
This PR adds API lemmas for extended and real diameters (`EMetric.ediam` and `Metric.diam`) of pointwise inversion, multiplication, and division of sets in a `SeminormedCommGroup` (and automatically generates the additive counterparts via `@[to_additive]`).
### New declarations
- `ediam_inv` (additive: `ediam_neg`): `ediam s⁻¹ = ediam s`
- `ediam_div_le` (additive: `ediam_sub_le`): `ediam (s / t) ≤ ediam s + ediam t`
- `diam_inv` (additive: `diam_neg`): `diam s⁻¹ = diam s`
- `diam_mul_le` (additive: `diam_add_le`): `diam (s * t) ≤ diam s + diam t` (for bounded sets)
- `diam_div_le` (additive: `diam_sub_le`): `diam (s / t) ≤ diam s + diam t` (for bounded sets)
Tested with all 14 `#lint` linters. |
t-analysis
new-contributor
|
26/0 |
Mathlib/Analysis/Normed/Group/Pointwise.lean |
1 |
6 |
['github-actions', 'wwylele'] |
nobody |
5-82318 5 days ago |
6-79454 6 days ago |
6-79441 6 days |
| 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.
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will format the text above it as a title.
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if it passes the continuous integration checks.
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:
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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-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 |
38 |
['ADedecker', 'ChiCubed', 'github-actions', 'themathqueen', 'wwylele'] |
ocfnash assignee:ocfnash |
5-81456 5 days ago |
21-76514 21 days ago |
72-4636 72 days |
| 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'] |
RemyDegenne assignee:RemyDegenne |
5-81455 5 days ago |
60-58985 60 days ago |
62-82669 62 days |
| 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'] |
urkud assignee:urkud |
5-81454 5 days ago |
48-69360 48 days ago |
48-69347 48 days |
| 41856 |
Ruizsolveall author:Ruizsolveall |
feat(Topology/Covering): fundamental group of the circle is ℤ |
This is the promised follow-up to #40947 (see [Zulip](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/How.20to.20wisely.20state.20Homotopy.20lifting.20lemma)); most of the file is the computation that the loop `t ↦ n • t` is sent to `n : ℤ`.
---
I used Claude to navigate the quotient covering map API and for an initial frame of the proofs, which I then reworked; I understand and can vouch for all of it.
|
t-topology
new-contributor
LLM-generated
|
102/0 |
Mathlib.lean,Mathlib/Topology/Covering/FundamentalGroupCircle.lean |
2 |
2 |
['github-actions'] |
ADedecker assignee:ADedecker |
5-81453 5 days ago |
40-44197 40 days ago |
40-44288 40 days |
| 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.
In `CategoryTheory/Equivalence.lean`, it adds:
* `Functor.isEquivalence_iff_exists_equivalence`, stating that a functor `F : C ⥤ D` is an equivalence (i.e. fully faithful and essentially surjective) if and only if it is the functor of some bundled equivalence `e : C ≌ D`.
In `CategoryTheory/Skeletal.lean`, it adds:
* `Functor.isEquivalence_iff_isIso_between_skeletal`: a functor between skeletal categories is an equivalence iff it is an isomorphism;
* `Functor.isEquivalence_iff_exists_isoCat_mapSkeleton`, stating that a functor `F : C ⥤ D` is an equivalence if and only if the induced functor on skeletons `F.mapSkeleton : Skeleton C ⥤ Skeleton D` is the functor of some categorical isomorphism `IsoCat (Skeleton C) (Skeleton D)`.
* `Functor.tfae_isEquivalence_bundledEquivalence_mapSkeletonIsoCat`, giving a `TFAE` for the following three statements:
* `F.IsEquivalence` : `F` is fully faithful and essentially surjective;
* `∃ e : C ≌ D, e.functor = F` : `F` is part of some bundled equivalence;
* `∃ e : IsoCat (Skeleton C) (Skeleton D), e.functor = F.mapSkeleton` : the induced functor on skeletons is a categorical isomorphism.
* `Equivalence.skeletonIsoCat (e : C ≌ D) : IsoCat (Skeleton C) (Skeleton D)`: an equivalence of categories induces an `IsoCat` between their skeletons.
It also updates the module docstring of `Skeletal.lean` to include these declarations.
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Moves:
- Vector.* -> List.Vector.*
- ...
Deletions:
- Nat.bit1_add_bit1
- ...
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|
t-category-theory
new-contributor
|
67/8 |
Mathlib/CategoryTheory/EssentiallySmall.lean,Mathlib/CategoryTheory/Skeletal.lean |
2 |
23 |
['Zeta-Wu', 'github-actions', 'joelriou', 'robin-carlier'] |
dagurtomas assignee:dagurtomas |
5-81448 5 days ago |
8-44473 8 days ago |
10-59547 10 days |
| 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
|
8/60 |
Mathlib/Algebra/BigOperators/Pi.lean,Mathlib/Algebra/Category/Grp/Limits.lean,Mathlib/Algebra/Category/MonCat/Limits.lean,Mathlib/Algebra/Group/DivInvMonoid.lean,Mathlib/Algebra/Symmetrized.lean,Mathlib/GroupTheory/GroupAction/SubMulAction/OfStabilizer.lean,Mathlib/GroupTheory/Nilpotent.lean |
7 |
5 |
['attilavjda', 'github-actions', 'mathlib-merge-conflicts', 'wwylele'] |
nobody |
5-46335 5 days ago |
5-49282 5 days ago |
10-4250 10 days |
| 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 |
5-26157 5 days ago |
6-29767 6 days ago |
6-29754 6 days |
| 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
|
31/11 |
Mathlib/Data/List/Sort.lean |
1 |
2 |
['github-actions'] |
nobody |
5-11591 5 days ago |
5-71820 5 days ago |
5-71807 5 days |
| 40155 |
TheGoedeDoel author:TheGoedeDoel |
feat: functor of localized commutative rings |
Given a functor of commutative rings R and a submonoid functor S,
we add a functor of commutative rings with objects that are localizations
of R(U) at the submonoid S(U). We also show that this functor satisfies a
universal property.
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
255/0 |
Mathlib.lean,Mathlib/Algebra/Category/ModuleCat/LocalizedFunctor.lean |
2 |
14 |
['TheGoedeDoel', 'chrisflav', 'github-actions'] |
joneugster assignee:joneugster |
4-81457 4 days ago |
76-3081 76 days ago |
85-3112 85 days |
| 40579 |
jcreinhold author:jcreinhold |
feat(Algebra/Category/Ring): preserve limits to CommMonCat |
Adds the missing instance saying that forgetting a commutative ring to its multiplicative commutative monoid preserves limits. |
t-algebra
new-contributor
label:t-algebra$ |
7/0 |
Mathlib/Algebra/Category/Ring/Limits.lean |
1 |
8 |
['felixpernegger', 'github-actions', 'jcreinhold'] |
joneugster assignee:joneugster |
4-81454 4 days ago |
73-48369 73 days ago |
73-56830 73 days |
| 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 |
4-56410 4 days ago |
4-57567 4 days ago |
4-57554 4 days |
| 42404 |
Robertboy18 author:Robertboy18 |
chore(downstream_repos): add TorchLean |
This PR adds [TorchLean](https://github.com/lean-dojo/TorchLean) to `scripts/downstream_repos.yml`!
TorchLean is the first unified Lean 4 framework for neural-network specification,
execution, training, and formal verification. It depends on Mathlib and maintains
build and documentation workflows on its default branch! Let me know if something else is needed:)
|
CI
new-contributor
|
7/0 |
scripts/downstream_repos.yml |
1 |
2 |
['copilot-pull-request-reviewer', 'github-actions'] |
nobody |
4-1294 4 days ago |
20-80827 20 days ago |
20-80814 20 days |
| 38369 |
quantumsnow author:quantumsnow |
feat(AlgebraicTopology): Eilenberg Steenrod axioms |
This introduces the Eilenberg-Steenrod axioms for a homology theory.
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebraic-topology
large-import
|
305/7 |
Mathlib/AlgebraicTopology/EilenbergSteenrod.lean,Mathlib/Topology/Category/TopPair.lean |
2 |
77 |
['chrisflav', 'dagurtomas', 'github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'quantumsnow'] |
robin-carlier assignee:robin-carlier |
3-42242 3 days ago |
3-42242 3 days ago |
58-74942 58 days |
| 35504 |
JoaBjo author:JoaBjo |
feat(Probability/Distributions/Exponential): add MGF, moments, and memoryless property |
Add the main analytic results for the exponential distribution:
- moment-generating function `mgf id (expMeasure r) t = r / (r - t)` for `t < r`
- mean `∫ x, x ∂(expMeasure r) = r⁻¹`
- variance `Var[id; expMeasure r] = r⁻¹ ^ 2`
- `ℒp` membership for all `p`
- tail probability `P(X > x) = exp (-(r * x))`
- memoryless property `P(X > s + t | X > s) = P(X > t)`
The MGF is computed by reducing to the known improper integral `∫ exp(c * x)` on `Ioi`, and integrability is deduced by contradiction from the positive closed-form value. The mean and variance are computed via the Gamma function integral `∫₀^∞ x^(n-1) exp(-r x) dx = Γ(n) / rⁿ`. The memoryless property follows from the exponential identity `exp(-(r(s+t))) = exp(-rt) * exp(-rs)`.
🤖 Claude Code (Fable) was used in this PR to resolve a merge with master. It adapted the branch's code to upstream renames/deprecations. It also restructured a proof that broke in the merge.
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-measure-probability
large-import
|
199/0 |
Mathlib/Probability/Distributions/Exponential.lean |
1 |
11 |
['EtienneC30', 'JoaBjo', 'Timeroot', 'github-actions', 'mathlib-merge-conflicts'] |
EtienneC30 assignee:EtienneC30 |
3-39583 3 days ago |
3-39677 3 days ago |
45-50589 45 days |
| 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 simp 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 |
8 |
['ashebson', 'github-actions', 'grunweg', 'mathlib-bors'] |
nobody |
3-19386 3 days ago |
4-40699 4 days ago |
4-73941 4 days |
| 43072 |
JadAbouHawili author:JadAbouHawili |
feat(Combinatorics/SimpleGraph): independence number of cycleGraph of order 1 is 1 |
---
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
19/0 |
Mathlib/Combinatorics/SimpleGraph/CycleGraph.lean |
1 |
3 |
['SnirBroshi', 'github-actions'] |
nobody |
2-71515 2 days ago |
3-17008 3 days ago |
3-17201 3 days |
| 42931 |
yui9696 author:yui9696 |
feat(Analysis/Matrix): simultaneous diagonalization of two real quadratic forms |
Adds the simultaneous diagonalization theorem for two real quadratic forms, one of which is positive definite:
if `A : Matrix n n ℝ` is positive definite and `B : Matrix n n ℝ` is symmetric, then there is an invertible `P` with `Pᵀ * A * P = 1` and `Pᵀ * B * P` diagonal.
This is the entry "simultaneous diagonalization of two real quadratic forms" from the [missing undergraduate mathematics list](https://leanprover-community.github.io/undergrad_todo.html) (Bilinear and quadratic forms).
### Contents
* `Matrix.PosDef.exists_simultaneous_diagonalization` — the matrix statement above.
* `Matrix.PosDef.exists_simultaneous_diagonalization_quadratic` — the same fact read off on the quadratic forms themselves: one invertible change of variables takes the form of `A` to `∑ xᵢ ^ 2` and the form of `B` to `∑ dᵢ * xᵢ ^ 2`. This is the phrasing the undergraduate list actually asks for, so it seemed worth stating explicitly rather than leaving to the reader.
* `Matrix.PosDef.exists_simultaneous_diagonalization_of_posDef` — when `B` is positive definite as well, the diagonal entries are positive.
### Implementation
Conjugating by the inverse of `CFC.sqrt A` turns `A` into the identity; the congruence of `B` is then symmetric, so `Matrix.IsHermitian.spectral_theorem` diagonalizes it and the two changes of basis compose.
A note on the history of this branch, in case a reviewer reads the commits: the first version went through the LDL decomposition, because I had convinced myself Mathlib no longer had a square root for positive semidefinite matrices. That was simply wrong — `CFC.sqrt` applies to matrices, as `Mathlib/Analysis/Matrix/Order.lean` already uses. Redoing it that way removed the `LinearOrder`, `WellFoundedLT` and `LocallyFiniteOrderBot` hypotheses that LDL imposed on the index type, so the statement is now proved for an arbitrary `Fintype` with decidable equality.
This is my first Mathlib contribution, so I would be glad to hear if the placement or naming should be different. Two specific questions:
* Would a `QuadraticForm` / `LinearMap.BilinForm` statement be preferred to the `dotProduct` phrasing used in the `_quadratic` version?
* Is `∃ d, _ = diagonal d` the right conclusion, or would `Matrix.IsDiag` be more idiomatic here?
### Use of AI
Per the [contribution guidelines](https://leanprover-community.github.io/contribute/index.html), I am disclosing my use of AI on this PR.
**Tool:** Claude (Anthropic), used through Claude Code.
**How I used it:** I used it to draft and iterate on the Lean proofs in this file, to search Mathlib for the relevant existing lemmas, and to carry out the rewrite from the first LDL-based version to the `CFC.sqrt` version described above. I have read and checked every declaration in the file myself, and I can justify the statements, the proof design and the placement without AI assistance.
A substantial part of the code was AI-drafted, so I am adding the `LLM-generated` label.
---
[](https://gitpod.io/#https://github.com/leanprover-community/mathlib4)
|
t-analysis
new-contributor
LLM-generated
|
141/0 |
Mathlib.lean,Mathlib/Analysis/Matrix/SimultaneousDiagonalization.lean |
2 |
8 |
['github-actions', 'themathqueen', 'vlad902', 'yui9696'] |
nobody |
2-69560 2 days ago |
2-69981 2 days ago |
3-806 3 days |
| 43034 |
bocowgill author:bocowgill |
feat(Data/Nat/MaxPrimeFac): add greatest prime factor |
## Summary
This PR adds a computable greatest-prime-factor operation for natural numbers, `Nat.maxPrimeFac`, together with its basic API. It returns `0` at `0`, `1` at `1`, and the greatest prime factor for `n > 1`.
This work is adapted from [Formal Conjectures PR #4817](https://github.com/google-deepmind/formal-conjectures/pull/4817), where Yael Dillies [reviewed the implementation and suggested upstreaming it to mathlib](https://github.com/google-deepmind/formal-conjectures/pull/4817#pullrequestreview-4995500952).
---
## Verification
Verification passed for the changed module and tests, `lake exe mk_all`, the style and declaration linters, and `git diff --check`. Both declared imports were confirmed necessary by removing each in turn.
## AI assistance
I used OpenAI Codex while developing the original Formal Conjectures implementation and this mathlib port. Codex assisted with searching the existing API, generating and editing portions of the Lean proofs, adapting imports and documentation, separating the computational tests, replacing deprecated API usage, diagnosing elaboration errors, and running build, lint, and diff checks.
I reviewed every submitted declaration and understand the definitions, proofs, design choices, and attributes in this PR. I can explain and justify them independently.
The original Formal Conjectures implementation contained a substantial amount of LLM-generated code. This PR therefore carries the `LLM-generated` label. |
new-contributor
t-data
LLM-generated
maintainer-merge
|
158/0 |
Mathlib.lean,Mathlib/Data/Nat/MaxPrimeFac.lean,MathlibTest/MaxPrimeFac.lean |
3 |
81 |
['SnirBroshi', 'YaelDillies', 'bocowgill', 'github-actions'] |
nobody |
2-53727 2 days ago |
2-57468 2 days ago |
4-53095 4 days |
| 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
|
13/3 |
Mathlib/Combinatorics/SimpleGraph/Connectivity/EdgeConnectivity.lean |
1 |
32 |
['JadAbouHawili', 'SnirBroshi', 'github-actions'] |
nobody |
2-42739 2 days ago |
6-54792 6 days ago |
10-11480 10 days |
| 41808 |
JX-Mo author:JX-Mo |
refactor(RepresentationTheory): add API lemmas in Representation.induced for making IndV.mk a def |
The current `IndV.mk` is an abbrev and `ind` has an @[simp] lemma `ind_apply`, so `simp` would expose the implementation and unfold the simple representation theoretic expressions into nasty linear algebra compounds consisting of MonoidAlgebra.single/TensorProduct/Coinvariant/.lift/.mk. The purpose of this PR is to seal `IndV.mk` and the old `ind_apply` off so that we can use simpler API lemmas and say goodbye to 20+ lines goals in the InfoView.
We address the issue by making `IndV.mk` a def and adding a new core def`IndV.lift`:
1) Making `IndV.mk` a def will allow the desired API lemmas `IndV.mk_map_mul` `IndV.mk_map_inv_mul` `IndV.mk_map_mem_eq` `IndV.mk_map_inv_eq` to have the desired @[simp] behaviour (previously simp would unfold `IndV.mk`, so @[simp] would not invoke these lemmas). We also add a useful `IndV.induction_on` lemma for reducing Prop to elementary generators and addition.
2) `IndV.lift`, which is a def, gives a way to construct a linear map from a family of linear maps on elementary generators. It unifies the previous constructions in `ind` `indMap` `indResHomEquiv` and `coinvariantsTensorInd`. Moreover, it turns out a single @[simp] lemma `IndV.lift_apply_IndVMk` is good enough to replace a whole system of linear algebra simp lemmas, while previously we had the annoying @[simps] above `ind` unfolding several linear algebra layers at once which brings big trouble if simp does not close the goal.
3) The new `ind` is an easy def building upon `IndV.lift` and the old confusing `ind_apply` is replaced by a clean simp computation lemma `ind_apply_mk`. Moreover, `indMap` becomes an abbrev.
As an immediate payoff, the definitions and proofs around `ind`, `indResHomEquiv` and `coinvariantTensorInd` become cleaner and the whole file complies 20% faster (6.6s to 5.4s on my computer as well as radar), despite the refactored code being longer. |
t-algebra
new-contributor
label:t-algebra$ |
102/59 |
Mathlib/RepresentationTheory/FiniteIndex.lean,Mathlib/RepresentationTheory/Induced.lean |
2 |
5 |
['JX-Mo', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts'] |
nobody |
2-37069 2 days ago |
15-42178 15 days ago |
41-31124 41 days |
| 41979 |
Nicola9Falciola author:Nicola9Falciola |
feat(LinearAlgebra/Matrix/GeneralLinearGroup/Card): add the theorem on the cardinality of the special linear group over a commring and over a finite field |
Add the theorems about the cardinality of the special linear group over a ring, both the exact formula and the _mul version and the version for a finite field. Building on the definition from the previous PR on the identification of `SL` with `det.ker`.
- [x] depends on: #41855
---
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|
t-algebra
new-contributor
label:t-algebra$ |
40/0 |
Mathlib/LinearAlgebra/Matrix/GeneralLinearGroup/Card.lean,Mathlib/LinearAlgebra/Matrix/GeneralLinearGroup/Defs.lean |
2 |
10 |
['CBirkbeck', 'Nicola9Falciola', 'github-actions', 'mathlib-dependent-issues'] |
nobody |
2-28339 2 days ago |
2-36602 2 days ago |
2-39014 2 days |
| 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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|
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 |
2-17861 2 days ago |
12-1965 12 days ago |
38-61845 38 days |
| 41052 |
hawkrobe author:hawkrobe |
refactor(RingTheory/HopfAlgebra): relocate `ofSurjective` |
---
I wasn't happy with the `HopfAlgebra.ofSurjective` proof in #39790. This PR attempts to refactor by extracting some of the pieces it relies on in more reusable form (e.g. bifunctoriality) and moving it out of `Quotient.lean`.
Also, `convOne` only uses the counit so i moved it up to the `[CoalgebraStruct R C]` section to match `convMul` (so `convOne_comp_coalgHom` could be the same generality as `convMul_comp_coalgHom_distrib`.)
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
|
111/65 |
Mathlib/RingTheory/Bialgebra/Convolution.lean,Mathlib/RingTheory/Coalgebra/Convolution.lean,Mathlib/RingTheory/HopfAlgebra/Convolution.lean,Mathlib/RingTheory/HopfAlgebra/Quotient.lean |
4 |
11 |
['eric-wieser', 'github-actions', 'hawkrobe'] |
nobody |
2-11810 2 days ago |
2-12656 2 days ago |
61-23832 61 days |
| 35753 |
Vilin97 author:Vilin97 |
feat(Topology/Algebra/Order): regular grid helpers and piecewise linear interpolation |
Make API for piecewise linear interpolation on regular grids. I need these to for ODE time-stepping methods, like forward Euler, and later Runge–Kutta methods.
Follow-up PR: #35755 (forward Euler method convergence).
I don't know if these numerical analysis ODE-solving methods even belong in mathlib. If someone could advise me on it, I would appreciate it.
---
The initial proof was produced by [Aristotle](https://aristotle.harmonic.fun). The code was iteratively refined (factoring out lemmas, golfing, simplifying proofs) using Claude Code.
- [ ] depends on: #38091 |
t-topology
new-contributor
LLM-generated
maintainer-merge
|
205/0 |
Mathlib.lean,Mathlib/Topology/Algebra/Order/PiecewiseLinear.lean |
2 |
66 |
['Vilin97', 'YanYablonovskiy', 'adomani', 'botbaki-review', 'copilot-pull-request-reviewer', 'dagurtomas', 'eric-wieser', 'github-actions', 'grunweg', 'j-loreaux', 'mathlib-dependent-issues', 'vlad902', 'wwylele'] |
nobody |
1-85144 1 day ago |
1-85310 1 day ago |
141-6627 141 days |
| 42042 |
ijtejeda author:ijtejeda |
feat(MeasureTheory/OuterMeasure): more API for outer measures |
Previously some desired basic API for outer measures regarding regularity notions was missing. Even though some of these notions were available in `MeasureTheory.Measure.Regular` for measures, these do not automatically translate to general outer measure conditions.
Add the following notions of regularity for outer measures: regular, Borel regular, Radon; as well as some basic lemmas about them and the definition of support of an outer measure.
AI usage: we use Claude to mimic proofs from the textbooks we use and partially assist some definitions and lemma statements.
References:
1. P. Mattila - Geometry of Sets and Measures in Euclidean Spaces
2. V.I. Bogachev - Measure Theory v.1
---
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|
LLM-generated
new-contributor
t-measure-probability
|
10/0 |
Mathlib/MeasureTheory/OuterMeasure/Caratheodory.lean |
1 |
11 |
['CoolRmal', 'github-actions', 'ijtejeda', 'tdwag123'] |
CoolRmal and RemyDegenne assignee:RemyDegenne assignee:CoolRmal |
1-84176 1 day ago |
1-84176 1 day ago |
22-1168 22 days |
| 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 |
8 |
['Sfgangloff', 'github-actions', 'mathlib-merge-conflicts', 'sgouezel'] |
sgouezel assignee:sgouezel |
1-79164 1 day ago |
1-79635 1 day ago |
24-19078 24 days |
| 41786 |
Nicola9Falciola author:Nicola9Falciola |
feat(LinearAlgebra/Matrix/GeneralLinearGroup/Defs): add the proof of the range of toGL to be the ker of the determinant and the induced equivalence |
Add a lemma proving that the `toGL.range ` is equal to `det.ker` and the induced equivalence between `SL` and `det.ker` .
---
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|
t-algebra
new-contributor
label:t-algebra$ |
15/0 |
Mathlib/LinearAlgebra/Matrix/GeneralLinearGroup/Defs.lean |
1 |
11 |
['Nicola9Falciola', 'github-actions', 'pepamontero'] |
nobody |
1-47423 1 day ago |
1-53259 1 day ago |
27-829 27 days |
| 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`.
**Note**: I had to modify the order of some results in `Mathlib/Topology/Covering/Quotient.lean` to accomodate `isLocalHomeomorph_quotientMk_of_properlyDiscontinuousSMul` in a way that made sense and without repeating many variables. Adding this lemma is not absolutely necessary, but it does make it more comfortable to work with in the main file. These changes can therefore be reversed.
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 |
new-contributor
large-import
|
155/34 |
Mathlib/Geometry/Manifold/Instances/Quotient.lean,Mathlib/Topology/Covering/Quotient.lean |
2 |
49 |
['Deicyde', 'github-actions', 'grunweg', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'pepamontero', 'scholzhannah'] |
grunweg assignee:grunweg |
1-40757 1 day ago |
1-41610 1 day ago |
12-41339 12 days |
| 43104 |
elazarg author:elazarg |
feat(InformationTheory/KullbackLeibler): finite Kullback-Leibler divergence |
Define `klDivFin p q = ∑ i, p i * log (p i / q i)` for `p q : ι → ℝ` on a `Fintype`, and prove Gibbs' inequality for it. The weights are not assumed to be normalized: `(∑ i, p i) - (∑ i, q i) ≤ klDivFin p q` needs only nonnegativity and absolute continuity, and `0 ≤ klDivFin p q` follows whenever `∑ i, q i ≤ ∑ i, p i`.
Two supporting lemmas added to `Analysis/SpecialFunctions/Log/NegMulLog`: `Real.mul_log_div` and `Real.sub_le_mul_log_div`, a quotient form of `Real.self_sub_one_le_mul_log`.
---
Continuing #42584, another part of https://github.com/elazarg/kraft
`klDivFin` is a `Finset.sum` definition, not a specialization of `klDiv`. `klDiv` is `ℝ≥0∞`-valued and defined through `llr` and `Measure.rnDeriv`, and Mathlib currently has no formula for `Measure.rnDeriv` on a discrete space.
Even with that lemma in place, `klDivFin` is `ℝ`-valued, so it composes directly with `Finset` arithmetic in downstream code; and it requires no normalization - Gibbs' inequality here holds under `∑ i, q i ≤ ∑ i, p i`, so no probability measures are needed.
Happy to split the two `NegMulLog` lemmas into a separate PR if needed.
[](https://gitpod.io/from-referrer/)
|
t-measure-probability
new-contributor
|
104/0 |
Mathlib.lean,Mathlib/Analysis/SpecialFunctions/Log/NegMulLog.lean,Mathlib/InformationTheory/KullbackLeibler/Finite.lean |
3 |
2 |
['github-actions'] |
nobody |
1-40004 1 day ago |
1-40717 1 day ago |
1-41101 1 day |
| 41459 |
EzequielS2 author:EzequielS2 |
feat(Algebra/Group): mulOpposite equivs for submonoid and subgroup |
## Summary
Add MulOpposite monoid equivalences for submonoids and subgroups, and remove the corresponding TODOs in `Subsemiring/MulOpposite.lean`.
## Test plan
- [x] `lake build` and `lake exe runLinter` on `Mathlib.Algebra.Group.Submonoid.MulOpposite` and `Mathlib.Algebra.Group.Subgroup.MulOpposite`
|
t-algebra
new-contributor
label:t-algebra$ |
78/4 |
Mathlib/Algebra/Group/Subgroup/MulOpposite.lean,Mathlib/Algebra/Group/Submonoid/MulOpposite.lean,Mathlib/Algebra/Ring/Subsemiring/MulOpposite.lean |
3 |
12 |
['EzequielS2', 'github-actions', 'mathlib-merge-conflicts', 'themathqueen', 'wwylele'] |
nobody |
1-34816 1 day ago |
9-2342 9 days ago |
50-12947 50 days |
| 42973 |
gdies author:gdies |
feat(CategoryTheory/Adhesive): coslices of adhesive categories are adhesive |
---
Adding the coslice case in adhesive2004 proposition (ii):
If **C** is adhesive then so are **C**/C and C/**C** for any object C of **C**
done as a (sub)project at the Utrecht summers school 2026
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[](https://gitpod.io/from-referrer/)
|
t-category-theory
new-contributor
|
6/4 |
Mathlib/CategoryTheory/Adhesive/Over.lean |
1 |
3 |
['github-actions', 'mathlib-bors'] |
dagurtomas assignee:dagurtomas |
1-32905 1 day ago |
5-48002 5 days ago |
6-40354 6 days |
| 41536 |
Mathias-Stout author:Mathias-Stout |
chore(Algebra): make quaternion directory |
We create separate directory for quaternions and move the two existing files into it.
This prepares a follow-up PR proving that quaternions are central simple.
Co-authored-by: Justus Springer <justusspringer@gmx.de>
---
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|
file-removed
new-contributor
|
7/7 |
Mathlib.lean,Mathlib/Algebra/DualQuaternion.lean,Mathlib/Algebra/Quaternion/Basic.lean,Mathlib/Algebra/Quaternion/Basis.lean,Mathlib/Analysis/Quaternion.lean,Mathlib/LinearAlgebra/CliffordAlgebra/Equivs.lean,MathlibTest/Quaternion.lean |
7 |
4 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
1-31790 1 day ago |
1-32499 1 day ago |
33-4977 33 days |
| 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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[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
38/0 |
Mathlib/Combinatorics/Enumerative/DoubleCounting.lean |
1 |
16 |
['cjrl', 'github-actions', 'vlad902', 'wwylele'] |
nobody |
0-82806 23 hours ago |
11-81156 11 days ago |
24-72661 24 days |
| 41898 |
marcinbugaj author:marcinbugaj |
feat(Analysis/Convex): majorization preorder and T-transform decomposition |
Add the majorization preorder and its T-transform decomposition.
**Majorization.** `Majorizes a b` (notation `a ≺ b`) is defined for `a b : ι → M` with `ι` an arbitrary `Fintype` and `M` an ordered additive commutative monoid: the two tuples have equal total sum and, for every `k`, the maximal sum over `k`-element subsets of `a` is at most that of `b` (`maxSubsetSum`). This is classical (Hardy–Littlewood–Pólya / Schur) majorization; it lives on the values, so it is permutation-invariant and needs no order on the index (in particular it is not first-order stochastic dominance). It is shown to be a preorder (`Majorizes.refl`, `Majorizes.trans`, the `Trans` instance), with `majorizes_iff_descPrefixSum` characterizing it via sorted prefix sums, and `comp_perm_majorizes_iff` / `majorizes_comp_perm_iff` recording permutation-invariance.
**T-transforms.** A single T-transform (Robin Hood transfer) is the operation `tTransform a s` for a step `s : TStep ι K` (its two coordinates `k, l` and transfer parameter `t`), over an ordered field `K` . RelatedByTTransform b a` means `b = tTransform a s` for some valid step, and `discrepancy a b` counts the coordinates at which `a` and `b` differ.
**Decomposition.** `majorizes_iff_reflTransGen_relatedByTTransform`: `a ≺ b` iff the decreasing rearrangement of `a` is reachable from that of `b` by a finite chain of T-transforms. The chain is also produced as explicit data: `majorizesTStepList` is a `def` returning the concrete `List (TStep …)` bundled with a proof that it is a valid chain folding sorted `b` to sorted `a`, of length at most `discrepancy`; `majorizes_exists_tStepList` is the existence form, and the `ReflTransGen` characterization is derived from it. The construction is computable: over a computable ordered field such as `ℚ` the step list evaluates to a concrete value.
|
t-analysis
new-contributor
|
960/0 |
Mathlib.lean,Mathlib/Analysis/Convex/Majorization.lean,docs/references.bib |
3 |
13 |
['YaelDillies', 'github-actions', 'marcinbugaj'] |
j-loreaux assignee:j-loreaux |
0-81450 22 hours ago |
33-42348 33 days ago |
38-39822 38 days |
| 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 |
2 |
['github-actions'] |
j-loreaux assignee:j-loreaux |
0-81450 22 hours ago |
38-42511 38 days ago |
38-42998 38 days |
| 39212 |
emlis42 author:emlis42 |
feat(Algebra/ContinuedFractions): add `partNums!` and `partDens!` |
This PR adds `partNums!` and `partDens!`, 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$ |
66/35 |
Mathlib/Algebra/ContinuedFractions/Basic.lean,Mathlib/Algebra/ContinuedFractions/ContinuantsRecurrence.lean,Mathlib/Algebra/ContinuedFractions/Determinant.lean,Mathlib/Algebra/ContinuedFractions/Translations.lean |
4 |
4 |
['emlis42', 'github-actions', 'grunweg'] |
nobody |
0-80548 22 hours ago |
107-22940 107 days ago |
107-22927 107 days |
| 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$ |
79/0 |
Mathlib.lean,Mathlib/RepresentationTheory/Hecke/Basic.lean |
2 |
7 |
['JX-Mo', 'Whysoserioushah', 'github-actions'] |
nobody |
0-79060 21 hours ago |
2-34015 2 days ago |
2-34104 2 days |
| 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
|
29/0 |
Mathlib/Analysis/Calculus/VectorField.lean |
1 |
4 |
['github-actions', 'korbonits'] |
nobody |
0-63405 17 hours ago |
10-66479 10 days ago |
10-66466 10 days |
| 40941 |
JX-Mo author:JX-Mo |
feat(RepresentationTheory): add stabilizers of vectors in representations |
Add Representation.stabilizer: the subgroup fixing a vector in a representation.
Provide basic lemmas for zero vectors, scalar multiples, sums, intertwining maps, and conjugations, as a first step toward smooth representations. Make representation-theoretic arguments use this specialized API instead of repeatedly unfolding the fixed-vector condition or routing through the more general MulAction stabilizer API. |
t-algebra
new-contributor
maintainer-merge
label:t-algebra$ |
68/0 |
Mathlib.lean,Mathlib/RepresentationTheory/Stabilizer.lean |
2 |
71 |
['JX-Mo', 'Whysoserioushah', 'github-actions', 'tb65536'] |
joelriou assignee:joelriou |
0-56159 15 hours ago |
40-27524 40 days ago |
61-40556 61 days |
| 41486 |
TTony2019 author:TTony2019 |
feat(Analysis/Convex/Intrinsic): add open segment intrinsic interior results |
Add open segment intrinsic interior results: `x ∈ intrinsicInterior 𝕜 C` and `y ∈ intrinsicClosure 𝕜 C`, then the open segment
from `x` to `y` stays in `intrinsicInterior 𝕜 C`.
Co-authored-by: Zichen Wang <imathwy@users.noreply.github.com> |
t-topology
new-contributor
t-analysis
|
70/0 |
Mathlib/Analysis/Convex/Intrinsic.lean,Mathlib/Analysis/Convex/Topology.lean,Mathlib/Topology/Algebra/Module/Basic.lean,Mathlib/Topology/Homeomorph/Defs.lean |
4 |
7 |
['TTony2019', 'github-actions', 'j-loreaux'] |
nobody |
0-41000 11 hours ago |
17-16212 17 days ago |
45-25831 45 days |
| 38319 |
Zetetic-Dhruv author:Zetetic-Dhruv |
feat(Combinatorics/SetFamily): Assouad's dual VC bound |
Adds the Finset-level form of Assouad's 1983 dual VC bound: if a family
`𝒜 : Finset (Finset α)` has VC dimension at most `d`, then for any
ground set `X : Finset α` the dual family
`{𝒜.filter (· ∋ x) : x ∈ X}` has VC dimension at most `2 ^ (d + 1) - 1`.
New declarations (in `Finset` namespace):
- `dualFamily 𝒜 X`: for each `x ∈ X`, the subfamily `{A ∈ 𝒜 | x ∈ A}`
- `mem_dualFamily` (`@[simp]`): membership characterisation
- `exists_shatters_of_dualFamily_shatters`: Assouad's bitstring-coding lemma
- `vcDim_dualFamily_le`: the headline VC bound
Proof by Assouad's classical bitstring-coding argument. Sits on top of `Finset.shatterer` / `Finset.vcDim` from
`Mathlib.Combinatorics.SetFamily.Shatter`.
References:
- P. Assouad, Densite et dimension, Ann. Inst. Fourier 33(3) (1983), Thm 2.13
- J. Matousek, Lectures on Discrete Geometry, GTM 212, Springer, 2002, Section 10.3 Lemma 10.3.3
---
<!-- 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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[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
maintainer-merge
|
199/0 |
Mathlib.lean,Mathlib/Combinatorics/SetFamily/DualVC.lean,docs/references.bib |
3 |
47 |
['Shreyas4991', 'YaelDillies', 'Zetetic-Dhruv', 'github-actions'] |
nobody |
0-37933 10 hours ago |
109-6775 109 days ago |
125-53811 125 days |
| 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 |
21 |
['Robertboy18', 'SnirBroshi', 'copilot-pull-request-reviewer', 'eric-wieser', 'github-actions', 'wwylele'] |
eric-wieser assignee:eric-wieser |
0-23583 6 hours ago |
8-2352 8 days ago |
16-74652 16 days |
| 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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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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If you are moving or deleting declarations, please include these lines
at the bottom of the commit message (before the `---`, and also before
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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
|
271/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/EdgeColoring.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/KempeChain.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/KempeChain/Basic.lean |
4 |
3 |
['SnirBroshi', 'github-actions'] |
nobody |
0-23268 6 hours ago |
0-47522 13 hours ago |
0-47605 13 hours |
| 41132 |
owenpkent author:owenpkent |
feat(Analysis/SpecialFunctions/Gamma/Digamma): iterated recurrence, harmonic-number values, and duplication for digamma |
This PR adds standard identities for `Complex.digamma` to `Mathlib/Analysis/SpecialFunctions/Gamma/Digamma.lean`:
- the iterated recurrence `digamma (s + n) = digamma s + ∑ k ∈ Finset.range n, (s + k)⁻¹` (`digamma_apply_add_nat`),
- the value at positive integers in terms of harmonic numbers, `digamma (n + 1) = harmonic n - eulerMascheroniConstant` (`digamma_nat_add_one`, added at review request),
- the duplication (doubling) formula `digamma (2 * s) = (1 / 2) * (digamma s + digamma (s + 1 / 2)) + log 2` (`digamma_two_mul`),
- a public helper `HasDerivAt.logDeriv_Gamma` (the logarithmic derivative of `Gamma ∘ g`), used twice by the duplication proof.
These are the natural digamma companions to results already in Mathlib: the single-step recurrence `Complex.digamma_apply_add_one` (the iterated form is its finite-induction closure) and the Legendre duplication formula `Complex.Gamma_mul_Gamma_add_half` (the digamma duplication is its logarithmic derivative).
Note: this PR originally also contained the digamma reflection formula; that was superseded by `Complex.digamma_one_sub` (#42349, now merged), whose proof is better, and the corresponding theorem has been dropped here in the master merge. The remaining results build cleanly on top of it.
The proofs use only existing Mathlib API. `#print axioms` for each new theorem is exactly `[propext, Classical.choice, Quot.sound]`.
---
**AI use disclosure** (per Mathlib's contribution guidelines): these identities were formalized in a personal research project with the help of an AI coding agent (Claude Code). The agent assisted in developing the original proofs and in porting them onto current Mathlib master. The underlying results are standard and the proofs use only existing Mathlib API. I have reviewed and understand the proofs, take responsibility for the content, and will respond to review in my own words.
|
t-analysis
new-contributor
LLM-generated
|
77/0 |
Mathlib/Analysis/SpecialFunctions/Gamma/Digamma.lean |
1 |
28 |
['SnirBroshi', 'github-actions', 'j-loreaux', 'mathlib-merge-conflicts', 'owenpkent'] |
j-loreaux assignee:j-loreaux |
0-18279 5 hours ago |
0-19867 5 hours ago |
23-28840 23 days |
| 40496 |
thefundamentaltheor3m author:thefundamentaltheor3m |
feat(LinearAlgebra/AffineSpace/Simplex): the surface of a simplex |
I wrote the definition myself, and got Claude to generate some of the boilerplate code (which I then reviewed and had it clean up).
---
<!-- 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:
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
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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.*
- ...
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- Nat.bit1_add_bit1
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[](https://gitpod.io/from-referrer/)
|
t-algebra
LLM-generated
new-contributor
label:t-algebra$ |
97/5 |
Mathlib/LinearAlgebra/AffineSpace/Simplex/Basic.lean |
1 |
8 |
['github-actions', 'grunweg', 'mathlib-bors', 'mathlib-merge-conflicts', 'thefundamentaltheor3m', 'wwylele'] |
nobody |
0-16835 4 hours ago |
20-41947 20 days ago |
33-71354 33 days |
| 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
|
58/0 |
Mathlib/RingTheory/Nilpotent/Basic.lean |
1 |
26 |
['github-actions', 'sankalpsthakur', 'tb65536'] |
nobody |
0-15493 4 hours ago |
0-58543 16 hours ago |
6-66318 6 days |
| 41962 |
juanjomadrigal author:juanjomadrigal |
feat(Counterexamples): the space ω₁ |
Introduce the `ω₁` ordinal space that, when given the order topology, may be used to build some nice counterexamples in general topology, namely
- A subspace of a paracompact space need not be paracompact
- The product of two normal spaces need not be normal
- A subspace of a normal space need not be normal
- A regular space need not be normal
This PR introduces the basic definitions and order-theoretic properties, in order to have a good set of tools to work with.
---
Subsequent commits / PRs would roughly cover:
- Topology definitions in that space
- Compactness (and non-compactness) properties
- Countability properties
- Non-metrizability
- Each of the properties above
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-topology
|
146/0 |
Counterexamples.lean,Counterexamples/Omega1Space.lean |
2 |
68 |
['FrankieNC', 'felixpernegger', 'github-actions', 'grunweg', 'j-loreaux', 'juanjomadrigal', 'plp127', 'vihdzp'] |
nobody |
0-4087 1 hour ago |
25-46403 25 days ago |
33-70565 33 days |
| 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 |
0-2236 37 minutes ago |
0-2818 46 minutes ago |
0-2805 46 minutes |
| 34487 |
martinwintermath author:martinwintermath |
feat(LinearAlgebra/SesquilinearForm): add basic lemmas for bilinear forms |
Add basic lemmas for bilinear forms and some file cleanup.
This is an extract from and in preparation for #43143.
---
<!-- 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:
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
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- [ ] depends on: #abc [optional extra text]
- [ ] depends on: #xyz [optional extra text]
-->
[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
50/12 |
Mathlib/LinearAlgebra/Dual/Lemmas.lean,Mathlib/LinearAlgebra/PerfectPairing/Basic.lean,Mathlib/LinearAlgebra/SesquilinearForm/Basic.lean |
3 |
7 |
['eric-wieser', 'github-actions', 'martinwintermath', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
joelriou assignee:joelriou |
0-782 13 minutes ago |
0-7284 2 hours ago |
32-11853 32 days |