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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 |
| 39279 |
jayscambler author:jayscambler |
feat(Cryptography/Sigma): Schnorr sigma protocol and signature scheme |
Adds `Mathlib/Cryptography/Sigma/Schnorr.lean`. New file in a new top-level directory; mathlib currently has no `Mathlib/Cryptography/`, so I've taken `Mathlib/Cryptography/Sigma/` as the natural home for sigma-protocol formalizations.
The file proves the three defining properties of Schnorr's identification scheme as a sigma protocol:
- `Schnorr.correct`: completeness. Honest verifier accepts honest signer's transcript.
- `Schnorr.specialSoundness`: from two accepting transcripts sharing the commitment but using different challenges `c, c'`, the witness `x = (s - s') / (c - c')` is recovered. Needs `q` prime so `c - c'` is invertible in `ZMod q`.
- `Schnorr.hvzkAccepts`: the HVZK simulator `g^s · (y^c)⁻¹` always yields accepting transcripts. This is the structural-correctness half of HVZK only; the distributional indistinguishability statement is a separate result and not in this PR.
On top of the sigma protocol there's `Schnorr.Signature.{keyGen, sign, verify, correct}` wrapping it as a Fiat-Shamir signature scheme; `Schnorr.Signature.correct` is a one-line corollary of `Schnorr.correct`.
Two auxiliary lemmas, `Schnorr.gpow_sub` and `Schnorr.gpow_mul`, bridge `ZMod q` arithmetic and group exponentiation under `Fintype.card G = q`. They're local to this file for now because the surrounding `gpow` API is itself cryptography-specific; if a general `ZMod q`-graded group action framework lands in mathlib later, both lemmas would become instances of it.
There's also a small `example` instantiating everything on `Multiplicative (ZMod q)` for `Fact q.Prime` to show the API typechecks. That instantiation is a toy (DLOG is trivial in that group), but it confirms the abstraction is usable.
**AI disclosure**: this PR was a collaboration between myself, Grey Haven's autocontext and Claude Opus 4.7 (Anthropic). I read each line and built locally on current master. (strawberry has three r's) |
new-contributor
LLM-generated
|
352/0 |
Mathlib.lean,Mathlib/Cryptography/Sigma/Schnorr.lean |
2 |
2 |
['github-actions'] |
nobody |
87-698 2 months ago |
87-777 87 days ago |
87-1050 87 days |
| 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 |
81-54979 2 months ago |
206-72087 206 days ago |
206-71870 206 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 |
77-54980 2 months ago |
163-80835 163 days ago |
166-28504 166 days |
| 36814 |
YaelDillies author:YaelDillies |
refactor(Combinatorics/SimpleGraph): no proof obligation in `rotate` |
If the walk doesn't go through the new vertex, return `nil` instead.
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|
t-combinatorics |
41/32 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Subgraph.lean,Mathlib/Combinatorics/SimpleGraph/Hamiltonian.lean,Mathlib/Combinatorics/SimpleGraph/Matching.lean,Mathlib/Combinatorics/SimpleGraph/Paths.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Decomp.lean |
7 |
9 |
['SnirBroshi', 'YaelDillies', 'b-mehta', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
74-4078 2 months ago |
74-4155 74 days ago |
136-42053 136 days |
| 39907 |
Hagb author:Hagb |
feat(Order/InititalSeg): `PrincipalSeg` is trichotomous for well orders |
For any two well orders, one is a principal segment of the other, or they are isomorphic.
Suggested by @vihdzp in the review of #39545
https://github.com/leanprover-community/mathlib4/pull/39545#discussion_r3262466782. It may slightly simplify the proof of `infinite_iff_nonempty_relEmbedding_of_isWellOrder`.
---
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|
t-order |
7/0 |
Mathlib/Order/InitialSeg.lean |
1 |
1 |
['github-actions', 'vihdzp'] |
nobody |
72-86032 2 months ago |
73-41942 73 days ago |
73-41725 73 days |
| 40185 |
lua-vr author:lua-vr |
feat(Order/Closure): closure_sup_le and sup_closure_le |
---
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|
t-order |
6/0 |
Mathlib/Order/Closure.lean |
1 |
2 |
['github-actions'] |
nobody |
66-6441 2 months ago |
66-6806 66 days ago |
66-6589 66 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
|
201/0 |
Mathlib.lean,Mathlib/Topology/Algebra/Order/PiecewiseLinear.lean |
2 |
59 |
['Vilin97', 'YanYablonovskiy', 'adomani', 'botbaki-review', 'copilot-pull-request-reviewer', 'dagurtomas', 'eric-wieser', 'github-actions', 'grunweg', 'j-loreaux', 'mathlib-dependent-issues', 'wwylele'] |
nobody |
65-54980 2 months ago |
98-65700 98 days ago |
131-28163 131 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 |
64-53139 2 months ago |
64-53139 64 days ago |
77-60674 77 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 |
62-20965 2 months ago |
62-21798 62 days ago |
62-21953 62 days |
| 40336 |
Bergschaf author:Bergschaf |
feat(Order/Sublocales): definition of open sublocales |
---
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|
t-order |
49/7 |
Mathlib/Order/Sublocale.lean |
1 |
3 |
['Bergschaf', 'github-actions'] |
nobody |
60-82731 1 month ago |
61-9418 61 days ago |
61-9656 61 days |
| 40274 |
gasparattila author:gasparattila |
chore(Order/Partition/Finpartition): deprecate `ofPairwiseDisjoint` |
This is a duplicate of `Finpartition.ofErase`.
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[](https://gitpod.io/from-referrer/)
|
t-order |
8/16 |
Mathlib/MeasureTheory/VectorMeasure/Variation/Basic.lean,Mathlib/Order/Partition/Finpartition.lean |
2 |
2 |
['gasparattila', 'github-actions'] |
nobody |
60-31369 1 month ago |
63-69613 63 days ago |
63-69396 63 days |
| 40438 |
tb65536 author:tb65536 |
feat(RingTheory/Spectrum/Prime/Basic): pointwise action on prime spectrum |
This PR defines the pointwise action on the prime spectrum.
---
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory
t-algebra
label:t-algebra$ |
15/0 |
Mathlib/RingTheory/Spectrum/Prime/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
59-61100 1 month ago |
59-61148 59 days ago |
59-60931 59 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 |
58-80320 1 month ago |
58-85397 58 days ago |
58-85273 58 days |
| 40502 |
metakunt author:metakunt |
feat(RingTheory/RootsOfUnits/PrimitiveRoots): pow_div_gcd |
From #39404 |
t-ring-theory |
13/11 |
Mathlib/RingTheory/RootsOfUnity/PrimitiveRoots.lean |
1 |
2 |
['github-actions', 'tb65536'] |
nobody |
58-1598 1 month ago |
58-2480 58 days ago |
58-2836 58 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 |
57-64293 1 month ago |
57-65729 57 days ago |
57-66045 57 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 |
57-54980 1 month ago |
109-59730 109 days ago |
109-60131 109 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.
<!-- Your PR title will become the first line of the commit message.
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
368/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Weighted/Basic.lean,docs/references.bib |
3 |
2 |
['github-actions'] |
nobody |
55-67908 1 month ago |
57-53543 57 days ago |
57-53326 57 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 |
54-41837 1 month ago |
54-45298 54 days ago |
54-45081 54 days |
| 40532 |
tb65536 author:tb65536 |
feat(Combinatorics/Hypergraph/Basic): define linear hypergraphs |
This PR defines linear hypergraphs (hypergraphs where any two edges share at most one vertex).
---
<!-- Your PR title will become the first line of the commit message.
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
15/0 |
Mathlib/Combinatorics/Hypergraph/Basic.lean |
1 |
6 |
['SnirBroshi', 'github-actions', 'tb65536'] |
nobody |
54-25122 1 month ago |
56-85946 56 days ago |
57-42295 57 days |
| 40531 |
tb65536 author:tb65536 |
feat(Combinatorics/Hypergraph/Coloring): define hypergraph colorings |
This PR defines hypergraph colorings and the chromatic index of a hypergraph.
---
<!-- Your PR title will become the first line of the commit message.
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to the commit message, and can be used to give additional context or
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- Nat.bit1_add_bit1
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
66/0 |
Mathlib.lean,Mathlib/Combinatorics/Hypergraph/Coloring/Edge.lean |
2 |
4 |
['SnirBroshi', 'b-mehta', 'github-actions', 'tb65536'] |
nobody |
54-17461 1 month ago |
54-18334 54 days ago |
54-66250 54 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 |
54-401 1 month ago |
54-1264 54 days ago |
54-1530 54 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 |
51-54335 1 month ago |
51-56385 51 days ago |
60-1416 60 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]`.
---
<!-- Your PR title will become the first line of the commit message.
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Moves:
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- ...
Deletions:
- Nat.bit1_add_bit1
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- [ ] depends on: #xyz [optional extra text]
-->
[](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 |
50-54973 1 month ago |
72-36609 72 days ago |
135-371 135 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'] |
nobody |
50-40101 1 month ago |
50-42989 50 days ago |
50-42772 50 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 |
10/0 |
Mathlib/Order/Filter/Tendsto.lean |
1 |
4 |
['CoolRmal', 'attilavjda', 'github-actions'] |
nobody |
49-49815 1 month ago |
49-51973 49 days ago |
50-81586 50 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 |
47-70090 1 month ago |
47-71813 47 days ago |
47-75623 47 days |
| 40876 |
vihdzp author:vihdzp |
chore: deprecate `StrictMono.not_bddAbove_range_of_wellFoundedLT` → `StrictMono.isCofinal_range` |
In a linear order without a maximum, the statements `¬ BddAbove s` and `IsCofinal s` are equivalent. The `IsCofinal` version of this theorem works even without the `NoMaxOrder` assumption, so it is strictly more general.
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|
t-order |
18/1 |
Mathlib/Order/Cofinal.lean,Mathlib/Order/WellFounded.lean,Mathlib/SetTheory/Ordinal/Enum.lean |
3 |
5 |
['SnirBroshi', 'github-actions', 'vihdzp'] |
nobody |
47-47455 1 month ago |
47-65480 47 days ago |
47-65461 47 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 |
46-54980 1 month ago |
91-85783 91 days ago |
142-83982 142 days |
| 40387 |
tb65536 author:tb65536 |
feat(RingTheory/Invariant/Basic): inertia subgroup of a quotient group |
This PR proves that the inertia subgroup of a quotient group is the image of the inertia subgroup.
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|
t-ring-theory
t-algebra
label:t-algebra$ |
68/0 |
Mathlib/RingTheory/Invariant/Basic.lean |
1 |
2 |
['github-actions', 'mathlib-dependent-issues', 'xroblot'] |
nobody |
46-198 1 month ago |
46-4899 46 days ago |
46-9035 46 days |
| 40757 |
tb65536 author:tb65536 |
feat(RingTheory/Ideal/Pointwise): add `Ideal.inertia_smul` |
This PR adds `Ideal.inertia_smul` stating that inertia subgroups of conjugate ideals are conjugate.
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|
t-ring-theory
t-algebra
label:t-algebra$ |
15/5 |
Mathlib/RingTheory/Ideal/Defs.lean,Mathlib/RingTheory/Ideal/Pointwise.lean |
2 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
44-26630 1 month ago |
44-28305 44 days ago |
50-72030 50 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 |
42-40150 1 month ago |
45-76376 45 days ago |
45-76244 45 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 |
42-32053 1 month ago |
42-32994 42 days ago |
43-29070 43 days |
| 38841 |
SnirBroshi author:SnirBroshi |
feat(Mathlib/Order/SuccPred/Limit): more `WithTop` lemmas about `IsMin`/`CovBy`/`IsSuccLimit` |
---
Continues the work from #38244
We should probably also have such lemmas for `WithTopBot`/`WithBotTop`, but that's for another day
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|
t-order |
122/31 |
Mathlib/Order/Cover.lean,Mathlib/Order/SuccPred/Limit.lean,Mathlib/Order/WithBot.lean |
3 |
4 |
['SnirBroshi', 'github-actions', 'vihdzp'] |
nobody |
42-7281 1 month ago |
66-74978 66 days ago |
98-25779 98 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 |
42-7038 1 month ago |
76-3579 76 days ago |
76-67732 76 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 |
42-6968 1 month ago |
75-85877 75 days ago |
75-85959 75 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 |
41-64278 1 month ago |
56-66888 56 days ago |
56-66957 56 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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|
|
114/110 |
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/MeasureTheory/Integral/SetToL1.lean,Mathlib/RingTheory/Finiteness/Basic.lean,Mathlib/Topology/Algebra/Field.lean,Mathlib/Topology/Algebra/Order/Module.lean |
17 |
3 |
['SnirBroshi', 'github-actions', 'martinwintermath'] |
nobody |
40-60846 1 month ago |
40-63257 40 days ago |
40-65276 40 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 |
40-47659 1 month ago |
40-49149 40 days ago |
40-49013 40 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'] |
nobody |
39-50870 1 month ago |
49-70426 49 days ago |
49-70554 49 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` |
|
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'] |
nobody |
39-22084 1 month ago |
39-23930 39 days ago |
39-23713 39 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 |
38-57511 1 month ago |
38-58700 38 days ago |
38-58483 38 days |
| 38292 |
kim-em author:kim-em |
feat(AlgebraicTopology): universal cover construction |
This PR constructs the universal cover of a path-connected, locally path-connected, semilocally simply connected space `X` as the based-path space modulo endpoint-preserving homotopy, topologised by coinduction from the compact-open based-path space.
Split across five files:
* `Topology/Homotopy/TubeNeighborhood.lean` — class-free machinery: `IsPathHomotopyTrivial`, tube neighborhoods in path space, their openness in the compact-open topology, and the ladder-homotopy pasting argument showing any two paths in a common tube are homotopic.
* `AlgebraicTopology/FundamentalGroupoid/SemilocallySimplyConnected.lean` — `SemilocallySimplyConnectedAt/On/Space`, defined via the classical based condition (trivial `π₁(U, x) → π₁(X, x)`), with the unbased upgrade on locally path-connected spaces, and discreteness of `Path.Homotopic.Quotient`.
* `AlgebraicTopology/FundamentalGroupoid/BasedPath.lean` — the based-path space (with `FunLike`/`ContinuousEval` instances) and the path-component machinery of `endpoint ⁻¹' U`.
* `AlgebraicTopology/FundamentalGroupoid/UniversalCover/Basic.lean` — quotient topology, `proj`, and the sheet decomposition.
* `AlgebraicTopology/FundamentalGroupoid/UniversalCover/Covering.lean` and `Action.lean` — `isCoveringMap`, `pathConnectedSpace`, `simplyConnectedSpace`, the universal lifting property, and the free, properly discontinuous `π₁(X, x₀)`-action making `proj` a quotient covering map.
I want to note this takes a different approach than Hatcher et al, which build the universal cover as the path space, but with a "custom" topology. It is then a theorem (often not proved in textbooks) that with the usual hypotheses this topology coincides with the one coinduced from the compact-open topology. I decided that "the mathlib way" was just to start with the "natural" topology, and not take this shortcut.
🤖 Prepared with Claude Code and Codex.
|
|
2831/35 |
Mathlib.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/BasedPath.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/Basic.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/FundamentalGroup.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/SemilocallySimplyConnected.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/UniversalCover/Action.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/UniversalCover/Basic.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/UniversalCover/Covering.lean,Mathlib/Topology/Connected/PathConnected.lean,Mathlib/Topology/Homotopy/Path.lean,Mathlib/Topology/Homotopy/TubeNeighborhood.lean,Mathlib/Topology/Path.lean,Mathlib/Topology/Subpath.lean,Mathlib/Topology/UnitInterval.lean |
14 |
50 |
['github-actions', 'kim-em', 'mathlib-merge-conflicts'] |
nobody |
38-47322 1 month ago |
38-48687 38 days ago |
38-48470 38 days |
| 40768 |
AlexeyMilovanov author:AlexeyMilovanov |
Add a reachability characterization for PFun.fix |
Add a `ReflTransGen` characterization of `PFun.fix` and use it to simplify one Turing machine proof. |
new-contributor |
27/13 |
Mathlib/Computability/TuringMachine/Config.lean,Mathlib/Data/PFun.lean |
2 |
2 |
['github-actions'] |
nobody |
38-12486 1 month ago |
38-12486 38 days ago |
38-12269 38 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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[](https://gitpod.io/from-referrer/)
|
t-order |
59/0 |
Mathlib.lean,Mathlib/Data/Finset/Mex.lean |
2 |
14 |
['SnirBroshi', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
38-3040 1 month ago |
38-3586 38 days ago |
42-5823 42 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 |
38-126 1 month ago |
38-3168 38 days ago |
106-20601 106 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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|
|
17/2 |
docs/1000.yaml |
1 |
9 |
['BoltonBailey', 'github-actions', 'mathlib-merge-conflicts', 'wwylele'] |
nobody |
37-48736 1 month ago |
37-49237 37 days ago |
64-61523 64 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 |
36-73942 1 month ago |
37-8600 37 days ago |
37-8383 37 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 |
36-72309 1 month ago |
38-10487 38 days ago |
38-10270 38 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 |
36-54933 1 month ago |
93-44527 93 days ago |
93-45071 93 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 |
36-29490 1 month ago |
37-73719 37 days ago |
37-74053 37 days |
| 32282 |
jsm28 author:jsm28 |
feat(Geometry/Euclidean/Angle/Incenter): unoriented angle bisection |
Add lemmas giving unoriented angles involving the incenter and excenters of a triangle as expressions involving dividing angles of the triangle by 2, deduced from oriented bisection lemmas.
---
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[](https://gitpod.io/from-referrer/)
|
t-euclidean-geometry |
92/0 |
Mathlib/Geometry/Euclidean/Angle/Incenter.lean |
1 |
19 |
['felixpernegger', 'github-actions', 'jsm28', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'wwylele'] |
nobody |
36-20676 1 month ago |
36-20968 36 days ago |
133-74327 133 days |
| 41317 |
Raph-DG author:Raph-DG |
chore(Function): ext lemma checking points in the support |
In this PR, we add in a variant of ext_iff_mulSupport which checks two functions are equal by checking they are equal at all points of the union of their supports. This was originally part of #38472, but having this lemma modify such a low level file was making it difficult to work on that PR
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|
t-algebra label:t-algebra$ |
9/0 |
Mathlib/Algebra/Notation/Support.lean |
1 |
2 |
['github-actions'] |
nobody |
36-19959 1 month ago |
36-22675 36 days ago |
36-22458 36 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 |
36-2184 1 month ago |
36-3548 36 days ago |
36-3331 36 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 |
35-83903 1 month ago |
36-62714 36 days ago |
36-66901 36 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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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
6/11 |
Mathlib/Combinatorics/SimpleGraph/Girth.lean |
1 |
1 |
['github-actions'] |
nobody |
35-56511 1 month ago |
35-57031 35 days ago |
35-56814 35 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 |
35-53198 1 month ago |
35-55453 35 days ago |
35-55236 35 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 |
35-29697 1 month ago |
35-29697 35 days ago |
35-40215 35 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 |
35-24766 1 month ago |
35-25355 35 days ago |
35-25138 35 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 |
35-23911 1 month ago |
35-24718 35 days ago |
41-22190 41 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$ |
71/57 |
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 |
8 |
['chrisflav', 'github-actions', 'mathlib-merge-conflicts', 'tb65536'] |
nobody |
35-280 1 month ago |
35-1203 35 days ago |
42-7509 42 days |
| 41364 |
SnirBroshi author:SnirBroshi |
chore(SimpleGraph/Clique): tidy `CliqueFree` iff lemmas |
Add `G.CliqueFree n ↔ (completeGraph (Fin n)).Free G` and rename two other iff theorems to fit better.
Since `Free` is not infix it should come before `top` when naming, `cliqueFree_iff` should mention its RHS since it isn't obvious, and `Fintype.card` should be mentioned.
---
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|
t-combinatorics |
18/8 |
Mathlib/Combinatorics/SimpleGraph/Clique.lean,Mathlib/Combinatorics/SimpleGraph/Extremal/Turan.lean |
2 |
1 |
['github-actions'] |
nobody |
34-61676 1 month ago |
34-86267 34 days ago |
34-86050 34 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 |
34-61439 1 month ago |
34-62017 34 days ago |
34-61800 34 days |
| 41369 |
tb65536 author:tb65536 |
feat(RingTheory/Localization/Ideal): generalize `IsLocalization.isMaximal_of_isMaximal_disjoint` |
This PR generalizes the existing `IsLocalization.isMaximal_of_isMaximal_disjoint` in `RingTheory/Jacobson/Ring` to arbitrary localizations.
---
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|
t-ring-theory
t-algebra
label:t-algebra$ |
21/18 |
Mathlib/RingTheory/Jacobson/Ring.lean,Mathlib/RingTheory/KrullDimension/Polynomial.lean,Mathlib/RingTheory/Localization/AtPrime/Basic.lean,Mathlib/RingTheory/Localization/Ideal.lean |
4 |
1 |
['github-actions'] |
nobody |
34-59186 1 month ago |
34-59233 34 days ago |
34-59017 34 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 |
34-44932 1 month ago |
34-45487 34 days ago |
52-59443 52 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 |
32-69944 1 month ago |
32-71611 32 days ago |
32-72841 32 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 |
32-30887 1 month ago |
33-58380 33 days ago |
33-58163 33 days |
| 41208 |
tb65536 author:tb65536 |
chore(FieldTheory/Galois/IsGaloisGroup): remove FaithfulSMul assumptions |
A few results in IsGaloisGroup.lean are proved by passing to fraction fields which requires assuming FaithfulSMul. This PR removes the FaithfulSMul assumption by first passing to the image subring.
---
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|
t-ring-theory
t-algebra
label:t-algebra$ |
28/29 |
Mathlib/FieldTheory/Galois/IsGaloisGroup.lean,Mathlib/NumberTheory/RamificationInertia/Galois.lean,Mathlib/RingTheory/IsGaloisGroup/Basic.lean |
3 |
1 |
['Whysoserioushah', 'github-actions'] |
nobody |
32-21013 1 month ago |
38-71183 38 days ago |
38-70967 38 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 Krulls' height theorem for `Ideal.span`s. In a Noetherian ring we know the bound should always be finite, but this is useful in downstream applications that are using ENats.
---
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|
t-ring-theory |
26/1 |
Mathlib/RingTheory/Ideal/KrullsHeightTheorem.lean |
1 |
1 |
['github-actions'] |
nobody |
32-20510 1 month ago |
33-26463 33 days ago |
33-26707 33 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 |
32-13895 1 month ago |
41-74460 41 days ago |
62-72889 62 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 |
31-70649 1 month ago |
31-72539 31 days ago |
31-72322 31 days |
| 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 |
9 |
['EzequielS2', 'github-actions', 'wwylele'] |
nobody |
31-55228 1 month ago |
31-79398 31 days ago |
31-79181 31 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$ |
13/4 |
Mathlib/Algebra/Order/BigOperators/Group/List.lean |
1 |
6 |
['EzequielS2', 'github-actions', 'wwylele'] |
nobody |
31-54041 1 month ago |
31-73770 31 days ago |
31-73553 31 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 |
31-42554 1 month ago |
38-1586 38 days ago |
38-57074 38 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
label:t-algebra$ |
28/3 |
Mathlib/Algebra/Group/Subgroup/ZPowers/Lemmas.lean |
1 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
31-39055 1 month ago |
31-40369 31 days ago |
31-42273 31 days |
| 41467 |
vlad902 author:vlad902 |
chore(MulLECancellable): rename lemmas |
Right now MulLECancellable has dual `Injective/inj` and `injective_left/inj_left` lemmas. Rename the first pair to `injective_right/inj_right` to match and add a `IsRightRegular` lemma to match the `IsLeftRegular` one.
---
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|
t-algebra label:t-algebra$ |
25/9 |
Mathlib/Algebra/Order/Monoid/Unbundled/Basic.lean,Mathlib/Algebra/Order/Sub/Unbundled/Basic.lean,Mathlib/Data/ENNReal/Operations.lean |
3 |
1 |
['github-actions'] |
nobody |
31-28701 1 month ago |
31-31660 31 days ago |
31-34229 31 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
large-import
|
50/17 |
Mathlib/Geometry/RingedSpace/OpenImmersion.lean,Mathlib/Geometry/RingedSpace/PresheafedSpace/Gluing.lean,Mathlib/Topology/Category/TopCat/Opens.lean,Mathlib/Topology/Sheaves/Presheaf.lean |
4 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
31-25967 1 month ago |
31-25970 31 days ago |
31-25753 31 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$ |
88/7 |
Mathlib/RingTheory/AdjoinRoot.lean,Mathlib/RingTheory/Algebraic/Integral.lean,Mathlib/RingTheory/Localization/Algebra.lean |
3 |
3 |
['alreadydone', 'github-actions', 'leanprover-radar'] |
nobody |
31-13982 1 month ago |
31-67619 31 days ago |
32-9783 32 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 |
31-11150 1 month ago |
36-29495 36 days ago |
36-29320 36 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 |
31-1402 1 month ago |
31-1402 31 days ago |
47-43462 47 days |
| 38975 |
ldct author:ldct |
feat(EReal): Add equations for EReal |
Add equational lemmas for the simplifier to simplify `[natural number literal] + ⊤` in `EReal`, and add a test file in `MathlibTest/EReal.lean`.
Without these lemmas, `simp` fails to close many of the goals in `MathlibTest/EReal.lean`. I believe simp should close all of them.
An alternative is to add something like this as a simp lemma, to allow `top_add_of_ne_bot` to make progress, but it's not clear to me that this is desirable as a simp lemma, since it's not equational
```
example {n : ℕ} [n.AtLeastTwo] : (ofNat(n) : EReal) ≠ ⊤ := by
exact Ne.symm (not_eq_of_beq_eq_false rfl)
```
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t-data |
32/0 |
Mathlib/Data/EReal/Operations.lean,MathlibTest/EReal.lean |
2 |
2 |
['github-actions', 'vihdzp'] |
nobody |
30-54981 30 days ago |
94-62166 94 days ago |
94-61949 94 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 |
30-26585 30 days ago |
33-26479 33 days ago |
33-27673 33 days |
| 40952 |
tb65536 author:tb65536 |
feat(Algebra/Group/Subgroup/Basic): monotonicity of inertia subgroups |
This PR proves that inertia subgroups are monotone.
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t-ring-theory
t-algebra
label:t-algebra$ |
5/1 |
Mathlib/Algebra/Group/Subgroup/Basic.lean |
1 |
1 |
['Multramate', 'github-actions'] |
nobody |
30-25166 30 days ago |
46-5339 46 days ago |
46-5123 46 days |
| 36815 |
EtienneC30 author:EtienneC30 |
feat: a measurable space structure on the type of continuous maps |
Endow the type `C(X, Y)` of continuous maps from `X` to `Y` with the Borel sigma-algebra coming from the compact-open topology and show that, under some assumptions on `X` and `Y`, this is equal to the restriction of the product sigma-algebra over `X → Y`.
Provide a measurable equivalence between `{f : X → Y // Continuous f}` and `C(X, Y)`.
Co-authored-by: @RemyDegenne
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t-topology
brownian
t-measure-probability
|
256/0 |
Mathlib.lean,Mathlib/MeasureTheory/Constructions/BorelSpace/ContinuousMap.lean,Mathlib/Topology/Bases.lean,Mathlib/Topology/Basic.lean,Mathlib/Topology/Compactness/Compact.lean,Mathlib/Topology/Separation/Regular.lean |
6 |
27 |
['ADedecker', 'EtienneC30', 'felixpernegger', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
30-22609 30 days ago |
95-27823 95 days ago |
135-22956 135 days |
| 41521 |
BryceT233 author:BryceT233 |
chore(Algebra/Order/Antidiag): relax an assumption in the definition of `HasAntidiagonal` |
This PR relaxes the typeclass requirement for `HasAntidiagonal` from `AddMonoid A` to `Add A`, which is useful for defining multiplications in `TotalMonoidAlgebra`(#41472).
---
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t-algebra label:t-algebra$ |
16/17 |
Mathlib/Algebra/Order/Antidiag/Prod.lean,Mathlib/Algebra/Order/Antidiag/Tendsto.lean |
2 |
4 |
['BryceT233', 'eric-wieser', 'github-actions'] |
nobody |
30-20416 30 days ago |
30-22670 30 days ago |
30-46188 30 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.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 |
35/9 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean |
1 |
1 |
['github-actions'] |
nobody |
30-19784 30 days ago |
30-20359 30 days ago |
32-52028 32 days |
| 41504 |
Paul-Lez author:Paul-Lez |
feat: add formula for the `j`-invariant of an elliptic curve |
This doesn't seem to be in Mathlib yet (?).
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t-algebraic-geometry |
4/0 |
Mathlib/AlgebraicGeometry/EllipticCurve/Weierstrass.lean |
1 |
4 |
['Multramate', 'Paul-Lez', 'github-actions'] |
Multramate assignee:Multramate |
30-14769 30 days ago |
31-1440 31 days ago |
31-1223 31 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 |
3 |
['felixpernegger', 'github-actions', 'leanprover-radar'] |
nobody |
29-84799 29 days ago |
30-1474 30 days ago |
30-1257 30 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'] |
nobody |
29-83484 29 days ago |
40-62202 40 days ago |
40-61985 40 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 |
29-82133 29 days ago |
29-84576 29 days ago |
30-5736 30 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 |
6 |
['eric-wieser', 'github-actions', 'mathlib-splicebot', 'themathqueen'] |
nobody |
29-79993 29 days ago |
32-33907 32 days ago |
32-33690 32 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 |
29-78929 29 days ago |
29-79662 29 days ago |
29-79445 29 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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|
10/243 |
Mathlib/Algebra/GroupWithZero/Range.lean,Mathlib/Algebra/MvPolynomial/Coeff.lean,Mathlib/Algebra/Polynomial/Degree/Domain.lean,Mathlib/Algebra/Polynomial/Degree/Lemmas.lean,Mathlib/Algebra/Polynomial/Degree/Monomial.lean,Mathlib/Algebra/Polynomial/Degree/Support.lean,Mathlib/Algebra/Polynomial/Degree/Units.lean,Mathlib/Algebra/Polynomial/Eval/Algebra.lean,Mathlib/Algebra/Polynomial/Eval/Irreducible.lean,Mathlib/Algebra/Polynomial/Splits.lean,Mathlib/Analysis/Analytic/Within.lean,Mathlib/Analysis/BoxIntegral/DivergenceTheorem.lean,Mathlib/Analysis/Calculus/ContDiff/Basic.lean,Mathlib/Analysis/Calculus/ContDiff/Bounds.lean,Mathlib/Analysis/Calculus/ContDiff/Comp.lean,Mathlib/Analysis/Calculus/ContDiff/Deriv.lean,Mathlib/Analysis/Calculus/ContDiff/FiniteDimension.lean,Mathlib/Analysis/Calculus/ContDiff/RCLike.lean,Mathlib/Analysis/Calculus/Deriv/Mul.lean,Mathlib/Analysis/Calculus/FDeriv/Add.lean,Mathlib/Analysis/Calculus/FDeriv/Basic.lean,Mathlib/Analysis/Calculus/FDeriv/Bilinear.lean,Mathlib/Analysis/Calculus/FDeriv/Comp.lean,Mathlib/Analysis/Calculus/FDeriv/Congr.lean,Mathlib/Analysis/Calculus/FDeriv/Const.lean,Mathlib/Analysis/Calculus/FDeriv/Equiv.lean,Mathlib/Analysis/Calculus/FDeriv/Prod.lean,Mathlib/Analysis/Calculus/FDeriv/RestrictScalars.lean,Mathlib/Analysis/Calculus/ParametricIntegral.lean,Mathlib/Analysis/Complex/CauchyIntegral.lean,Mathlib/Analysis/Complex/ReImTopology.lean,Mathlib/Analysis/Fourier/PoissonSummation.lean,Mathlib/Analysis/Fourier/RiemannLebesgueLemma.lean,Mathlib/Analysis/InnerProductSpace/Continuous.lean,Mathlib/Analysis/MeanInequalities.lean,Mathlib/Analysis/Normed/Module/Dual.lean,Mathlib/Analysis/SpecialFunctions/ExpDeriv.lean,Mathlib/Analysis/SpecialFunctions/Gamma/Deriv.lean,Mathlib/Analysis/SpecialFunctions/Gaussian/GaussianIntegral.lean,Mathlib/Analysis/SpecialFunctions/Gaussian/PoissonSummation.lean,Mathlib/Analysis/SpecialFunctions/JapaneseBracket.lean,Mathlib/Analysis/SpecialFunctions/Log/Monotone.lean,Mathlib/Analysis/SpecialFunctions/Pow/Asymptotics.lean,Mathlib/Analysis/SpecialFunctions/Pow/Continuity.lean,Mathlib/Analysis/SpecialFunctions/Pow/Deriv.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/ArctanDeriv.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Complex.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/ComplexDeriv.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Deriv.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/InverseDeriv.lean,Mathlib/CategoryTheory/Limits/EssentiallySmall.lean,Mathlib/CategoryTheory/Limits/Preserves/Opposites.lean,Mathlib/CategoryTheory/Sites/CoverPreserving.lean,Mathlib/Data/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 |
3 |
['felixpernegger', 'github-actions', 'leanprover-radar'] |
nobody |
29-58096 29 days ago |
29-60416 29 days ago |
29-60199 29 days |
| 36202 |
vihdzp author:vihdzp |
feat: more theorems on the Cantor normal form |
We also remove some redundant assumptions.
Used in the CGT repo.
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t-set-theory |
68/17 |
Mathlib/SetTheory/Ordinal/CantorNormalForm.lean |
1 |
21 |
['SnirBroshi', 'YaelDillies', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
29-54977 29 days ago |
136-24749 136 days ago |
155-16493 155 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 |
29-12832 29 days ago |
29-13700 29 days ago |
31-13592 31 days |
| 41598 |
NoahW314 author:NoahW314 |
feat(Algebra/Order/BigOperators): add `Finset.prod_le_prod_of_injOn` |
---
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t-algebra label:t-algebra$ |
17/0 |
Mathlib/Algebra/Order/BigOperators/Group/Finset.lean,Mathlib/Algebra/Order/BigOperators/GroupWithZero/Finset.lean |
2 |
1 |
['github-actions'] |
nobody |
28-74835 28 days ago |
28-77202 28 days ago |
28-77396 28 days |
| 41604 |
tb65536 author:tb65536 |
feat(NumberTheory/NumberField/Completion/FinitePlace): compatibility of finite places across an algebra map |
Given an extension of finite places, this PR proves compatibility across an algebra map. Eventually it would be nice to have a version stated purely in terms of `FinitePlace`, but we are lacking the ramification theory of finite places required for this (I have larger plans to do ramification theory for absolute values more generally, but this will take some time).
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t-number-theory
t-algebra
label:t-algebra$ |
23/4 |
Mathlib/NumberTheory/NumberField/Completion/FinitePlace.lean |
1 |
1 |
['github-actions'] |
nobody |
28-65311 28 days ago |
28-65365 28 days ago |
28-65149 28 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) and [IsDedekindDomainDvr](https://leanprover-community.github.io/mathlib4_docs/Mathlib/RingTheory/DedekindDomain/Dvr.html#IsDedekindDomainDvr) to extend `IsNoetherianRing A` instead of `IsNoetherian A A`, bringing their definitions closer to the usual mathematical formulations.
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
2/2 |
Mathlib/RingTheory/DedekindDomain/Basic.lean,Mathlib/RingTheory/DedekindDomain/Dvr.lean |
2 |
1 |
['github-actions'] |
nobody |
28-49841 28 days ago |
28-50713 28 days ago |
28-50496 28 days |
| 41609 |
SnirBroshi author:SnirBroshi |
feat(Data/List/Dedup): `dedup` and `Nodup` lemmas |
---
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[](https://gitpod.io/from-referrer/)
|
t-data |
16/0 |
Mathlib/Data/Finset/Card.lean,Mathlib/Data/Finset/Dedup.lean,Mathlib/Data/List/Dedup.lean |
3 |
1 |
['github-actions'] |
nobody |
28-42167 28 days ago |
28-44982 28 days ago |
28-44765 28 days |
| 41476 |
SnirBroshi author:SnirBroshi |
feat(SetTheory/Cardinal/NatCard): length of a nodup list whose elements come from a set |
For a list `l` with `l.Nodup` and a set `s` with `∀ a ∈ l, a ∈ s` we have `l.length ≤ s.encard`,
and similar statements for `Finset`/`Multiset` with `Set.encard`/`Set.ncard`/`ENat.card`/`Nat.card`.
---
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[](https://gitpod.io/from-referrer/)
|
t-set-theory |
82/12 |
Mathlib/Data/Finset/Dedup.lean,Mathlib/SetTheory/Cardinal/NatCard.lean |
2 |
1 |
['github-actions'] |
nobody |
28-42009 28 days ago |
31-50442 31 days ago |
31-50225 31 days |
| 41629 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Subgraph): `neighborSet` of `coe`/`spanningCoe` |
---
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
15/3 |
Mathlib/Combinatorics/SimpleGraph/Subgraph.lean |
1 |
1 |
['github-actions'] |
nobody |
27-47915 27 days ago |
27-48484 27 days ago |
27-48267 27 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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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
11/4 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Basic.lean |
2 |
1 |
['github-actions'] |
nobody |
27-37687 27 days ago |
27-38339 27 days ago |
27-38122 27 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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[](https://gitpod.io/from-referrer/)
|
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 |
27-28135 27 days ago |
27-28135 27 days ago |
27-31139 27 days |
| 41426 |
gmcninch-prof author:gmcninch-prof |
Add SymmetricMap: 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 |
26-73728 26 days ago |
26-73728 26 days ago |
28-41813 28 days |
| 41659 |
NoahW314 author:NoahW314 |
feat(Algebra/Order/GroupWithZero): generalize from `MonoidWithZero` to `MulZeroClass` |
The same proofs hold with the weaker typeclass.
---
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|
t-algebra label:t-algebra$ |
37/49 |
Mathlib/Algebra/Order/GroupWithZero/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
26-66458 26 days ago |
26-68985 26 days ago |
26-68768 26 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
|
5/0 |
Mathlib/Data/List/Perm/Basic.lean |
1 |
4 |
['github-actions', 'sergantche', 'vlad902'] |
nobody |
26-62912 26 days ago |
26-65755 26 days ago |
30-68933 30 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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[](https://gitpod.io/from-referrer/)
- [ ] 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 |
25-74521 25 days ago |
25-78004 25 days ago |
25-82473 25 days |
| 41597 |
NoahW314 author:NoahW314 |
feat(Data/Finset/Card): add `Finset.card_le_card_of_surjective` |
This is modeled on the corresponding lemma `Finset.card_le_card_of_injective`, which already exists.
---
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[](https://gitpod.io/from-referrer/)
|
t-data |
9/0 |
Mathlib/Data/Finset/Card.lean |
1 |
2 |
['github-actions', 'themathqueen'] |
nobody |
25-69046 25 days ago |
28-79462 28 days ago |
28-79245 28 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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- [ ] depends on: #xyz [optional extra text]
-->
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
120/75 |
Mathlib/RingTheory/FormalGroup/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
25-66261 25 days ago |
25-67346 25 days ago |
25-67129 25 days |
| 41637 |
adomani author:adomani |
chore: add missing `to_additive` docstrings in Algebra/Group core and subobjects |
Adds the missing additive doc-strings (multiplicative side has a hand-written doc-string, additive side did not) across 13 file(s) in **Algebra/Group core and subobjects**.
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$ |
70/24 |
Mathlib/Algebra/Group/Basic.lean,Mathlib/Algebra/Group/Center.lean,Mathlib/Algebra/Group/Commute/Defs.lean,Mathlib/Algebra/Group/Defs.lean,Mathlib/Algebra/Group/Subgroup/Actions.lean,Mathlib/Algebra/Group/Subgroup/Basic.lean,Mathlib/Algebra/Group/Subgroup/Ker.lean,Mathlib/Algebra/Group/Subgroup/MulOppositeLemmas.lean,Mathlib/Algebra/Group/Submonoid/Membership.lean,Mathlib/Algebra/Group/Submonoid/MulAction.lean,Mathlib/Algebra/Group/Subsemigroup/Membership.lean,Mathlib/Algebra/Group/Torsion.lean,Mathlib/Algebra/Group/UniqueProds/Basic.lean |
13 |
11 |
['adomani', 'artie2000', 'github-actions'] |
nobody |
25-65789 25 days ago |
27-17865 27 days ago |
27-17648 27 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 |
25-65478 25 days ago |
26-18323 26 days ago |
27-17972 27 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 |
25-49091 25 days ago |
25-49665 25 days ago |
25-49983 25 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 |
25-44542 25 days ago |
25-45110 25 days ago |
26-49183 26 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 |
25-31886 25 days ago |
30-32613 30 days ago |
32-50855 32 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 |
25-30455 25 days ago |
25-31061 25 days ago |
25-30844 25 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 |
25-16174 25 days ago |
36-9067 36 days ago |
36-17929 36 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 |
25-8500 25 days ago |
25-8500 25 days ago |
25-8294 25 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 |
25-4957 25 days ago |
25-5533 25 days ago |
25-5316 25 days |
| 41415 |
tb65536 author:tb65536 |
feat(FieldTheory/AbsoluteGaloisGroup): functoriality of `absoluteGaloisGroup` |
This PR proves functionality of `absoluteGaloisGroup`.
Upstreamed from FLT.
---
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|
t-algebra
t-group-theory
FLT
label:t-algebra$ |
49/1 |
Mathlib/FieldTheory/AbsoluteGaloisGroup.lean |
1 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
24-85813 24 days ago |
25-3783 25 days ago |
25-3568 25 days |
| 41743 |
themathqueen author:themathqueen |
chore: move `ContinuousLinearMap.extend` from `Analysis` to `Topology` |
According to #29888, the original definition was by Zhouhang Zhou in 2019, so I adjusted the copyright to that year.
No code is altered besides adding `public` and `@[expose]`.
---
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|
t-topology |
74/61 |
Mathlib.lean,Mathlib/Analysis/Normed/Operator/Extend.lean,Mathlib/Topology/Algebra/Module/ContinuousLinearMap/Extend.lean |
3 |
1 |
['github-actions'] |
nobody |
24-84659 24 days ago |
24-85666 24 days ago |
24-85851 24 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'] |
nobody |
24-61957 24 days ago |
48-44284 48 days ago |
48-44067 48 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'] |
nobody |
24-56020 24 days ago |
24-58000 24 days ago |
60-68567 60 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 |
24-55154 24 days ago |
30-41162 30 days ago |
30-40945 30 days |
| 38871 |
0xTerencePrime author:0xTerencePrime |
feat(Combinatorics/SimpleGraph): add parity lemmas for outer and inner vertices |
Adds three lemmas to `SimpleGraph.DegreeSum`:
- `sum_degrees_option_zmod_two`: the handshaking lemma for `Option I` over ZMod 2
- `degree_none_zmod_two_eq_sum`: simp-normal form of the above
- `card_degree_one_option_eq_outer_zmod_two`: under degree bound ≤ 2, count of degree-1 inner vertices equals outer vertex degree mod 2 |
t-combinatorics
new-contributor
|
65/3 |
Mathlib/Combinatorics/SimpleGraph/DegreeSum.lean |
1 |
6 |
['0xTerencePrime', 'SnirBroshi', 'github-actions'] |
nobody |
24-54979 24 days ago |
97-12664 97 days ago |
97-12447 97 days |
| 40276 |
gasparattila author:gasparattila |
feat(Order/Partition/Finpartition): lemmas for `restrict` |
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|
t-order |
34/1 |
Mathlib/Order/Partition/Finpartition.lean |
1 |
1 |
['github-actions', 'madvorak'] |
nobody |
24-25105 24 days ago |
63-62484 63 days ago |
63-62267 63 days |
| 41702 |
smmercuri author:smmercuri |
chore: make `adicCompletion` and `Completion` print nicer |
- Stop `toCompletion` and `ofCompletion` printing with braces
- Arguments to `completionMap` should be explicit.
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|
37/6 |
Mathlib/NumberTheory/NumberField/Completion/InfinitePlace.lean,Mathlib/NumberTheory/NumberField/Completion/LiesOverInstances.lean,Mathlib/RingTheory/DedekindDomain/AdicValuation.lean |
3 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
23-86307 23 days ago |
24-2341 24 days ago |
25-56337 25 days |
| 41291 |
tb65536 author:tb65536 |
refactor(RingTheory/IntegralClosure/IsIntegral/Basic): use `FaithfulSMul` in `isIntegral_algebraMap_iff` |
Currently `isIntegral_algebraMap_iff` takes an explicit assumption stating that `algebraMap A B` is nonzero, but a `[FaithfulSMul A B]` typeclass is more idiomatic (and can almost always be inferred automatically).
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|
t-ring-theory
t-algebra
label:t-algebra$ |
25/30 |
Mathlib/FieldTheory/IntermediateField/Adjoin/Algebra.lean,Mathlib/NumberTheory/Niven.lean,Mathlib/NumberTheory/NumberField/CMField.lean,Mathlib/NumberTheory/NumberField/Cyclotomic/Basic.lean,Mathlib/RingTheory/Adjoin/PowerBasis.lean,Mathlib/RingTheory/IntegralClosure/IntegralRestrict.lean,Mathlib/RingTheory/IntegralClosure/IntegrallyClosed.lean,Mathlib/RingTheory/IntegralClosure/IsIntegral/Basic.lean,Mathlib/RingTheory/IntegralClosure/IsIntegralClosure/Basic.lean,Mathlib/RingTheory/IntegralClosure/IsIntegralClosure/Defs.lean,Mathlib/RingTheory/Invariant/Galois.lean,Mathlib/RingTheory/IsGaloisGroup/Basic.lean,Mathlib/RingTheory/Norm/Transitivity.lean,Mathlib/RingTheory/Trace/Basic.lean,Mathlib/RingTheory/ZariskisMainTheorem.lean |
15 |
2 |
['github-actions', 'plp127'] |
nobody |
23-86071 23 days ago |
24-4349 24 days ago |
37-7321 37 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 |
23-85690 23 days ago |
24-1890 24 days ago |
24-1689 24 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$ |
36/22 |
Mathlib/Algebra/Module/LinearMap/FiniteRange.lean |
1 |
1 |
['github-actions'] |
nobody |
23-85581 23 days ago |
24-2999 24 days ago |
24-2782 24 days |
| 41774 |
gasparattila author:gasparattila |
feat(Topology/Algebra): topology on `ContinuousAffineMap` |
---
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t-topology
large-import
|
236/4 |
Mathlib.lean,Mathlib/Analysis/Normed/Affine/ContinuousAffineMap.lean,Mathlib/Topology/Algebra/ContinuousAffineMap/Topology.lean,Mathlib/Topology/Algebra/Group/Torsor.lean |
4 |
1 |
['github-actions'] |
nobody |
23-84822 23 days ago |
24-1803 24 days ago |
24-2709 24 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 |
23-76736 23 days ago |
31-15599 31 days ago |
31-18984 31 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 |
23-71209 23 days ago |
23-71786 23 days ago |
23-71569 23 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 |
15/5 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean |
1 |
1 |
['github-actions'] |
nobody |
23-64640 23 days ago |
23-65246 23 days ago |
23-65029 23 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'] |
nobody |
23-55888 23 days ago |
23-57763 23 days ago |
23-57546 23 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 |
23-54980 23 days ago |
98-80480 98 days ago |
98-80317 98 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 |
23-54978 23 days ago |
62-9155 62 days ago |
62-9470 62 days |
| 39288 |
FordUniver author:FordUniver |
feat(Combinatorics/SimpleGraph/Subgraph): add `Embedding.ofIsInduced` and `IsInduced.map` |
Three additions to the `SimpleGraph.Subgraph` API for induced subgraphs. `Embedding.ofIsInduced` is the canonical embedding of an induced subgraph into its ambient graph, paired with `toHom_ofIsInduced` and `ofIsInduced_apply` lemmas. This is the embedding counterpart of `Subgraph.hom`, which only produces a homomorphism because non-induced subgraphs do not reflect adjacency. `Subgraph.IsInduced.map` then records that the image of an induced subgraph under a graph embedding is induced, strengthened to `IsInduced.map_iff` for the iso case.
Co-authored-by: Malte Jackisch <45597826+MaltyBlanket@users.noreply.github.com>
---
**Orthogonal pre-requisite of the `Copy` / `InducedCopy` refactor-feat stack.**
Extracted as a prerequisite from #38631 that is otherwise independent of the wider `Copy` / `InducedCopy` refactor-feat stack. |
t-combinatorics |
27/4 |
Mathlib/Combinatorics/SimpleGraph/Copy.lean,Mathlib/Combinatorics/SimpleGraph/Subgraph.lean |
2 |
16 |
['FordUniver', 'SnirBroshi', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
23-54977 23 days ago |
75-32720 75 days ago |
86-68419 86 days |
| 39505 |
dannyhe652 author:dannyhe652 |
feat(SimpleGraph): add Vizing's theorem for edge coloring |
Hi! I'm a high school student interested in formulization of mathematics in Lean. Recently, I have worked on a project to formulize Vizing Theorem with Daniel Raggi from Cambridge University with AI assistance. In particular, we first drafted an outline for the proof, and built the proof using Claude Opus 4.5 and 4.6. The proof is optimized using Aristotle and finally reviewed by ourselves. We rewrote some parts of the code and some comments. The code now builds cleanly and we wish this code to be reviewed by Lean Community. I am aware that there are previous attempts, some being successful, on formulizing Vizing Theorem, including this one by Arohee https://github.com/aroheebhoja/vizing. However, I believe that no PR have been made. Our proof is not based on his proof, but it could be helpful for the community to review that project as well. I sincerely thank everyone who has time to verify and review our code. A summary of the project is as follows. Please contact me if there are any questions or problems.
## Summary
This PR completes the proof of **Vizing's theorem** for edge coloring in simple graphs, proving that the chromatic index of any graph is either Δ (the maximum degree) or Δ + 1.
## Changes
### New files
- **`Mathlib/Combinatorics/SimpleGraph/Coloring/EdgeColoring.lean`** — Core definitions
- `edgeColoring`: Type for line graph colorings
- `edgeColorable`: Graph is edge-colorable with n colors
- `chromaticIndex`: Chromatic index as ℕ
- **`Mathlib/Combinatorics/SimpleGraph/Coloring/KempeChain.lean`** — Kempe Chain
- Coloring observables: `incidentEdges`, `incidentColors`, `missingColors`
- Kempe subgraph structure with bounded degree
- `swapKempe`: Recolor edges in a connected component via color-swapping
- **`Mathlib/Combinatorics/SimpleGraph/Coloring/VizingFan.lean`** — Vizing Fan Rotation
- `IsFan`: Vizing fan structure with special color properties
- Fan maximality and dichotomy on terminal vertices
- `rotate_termA`: Extend coloring when a free color exists at both endpoints
- `vizingAdjacencyLemma`: Main adjacency lemma for both cases
- **`Mathlib/Combinatorics/SimpleGraph/Coloring/VizingTheorem.lean`** — Main theorems
- `edge_eq_of_color_eq`: Proper edge colorings assign different colors to distinct edges sharing a vertex
- `maxDegree_le_chromaticIndex`: χ'(G) ≥ Δ(G)
- `chromaticIndex_bot`: Empty graph has chromatic index 0
- `vizingUpperBound_aux`: Inductive proof of upper bound on number of edge
- `vizingTheorem`: χ'(G) ∈ {Δ(G), Δ(G) + 1}
### Modified files
- `Mathlib.lean` — Added imports for the four new coloring modules
## Technical Approach
**Lower bound** (χ'(G) ≥ Δ):
- Edges incident to a max-degree vertex form a clique in the line graph
- Clique number lower-bounds chromatic number
**Upper bound** (χ'(G) ≤ Δ + 1):
- Induction on the number of edges
- Base case: empty graph colored with 0 colors
- Inductive step:
- If a free color exists at both endpoints of an edge, then extend directly
- Otherwise:
- Build a maximal fan from one endpoint
- Apply dichotomy: either extend via Term-A (free color at both endpoints) or Term-B (Kempe swap)
- Term-B uses a three-vertex connectivity argument to derive a contradiction, forcing the fan to extend
## Key Lemmas
- `incidentEdges`, `incidentColors`, `missingColors`: Coloring observables at vertices
- `kempeSubgraph`: Restricted subgraph of edges with two specific colors
- `swapKempe`: Recolor via Kempe chain swapping
- `IsFan.singleton`: Trivial fan always valid
- `IsFan.length_le_card`: Fan length is bounded by vertex count
- `IsFan.dichotomy`: Maximal fan satisfies Term-A or Term-B
- `IsFan.rotate_termA`: Term-A case extends the coloring inductively
- `vizingAdjacencyLemma`: Handles both cases for extending one edge
- `vizingUpperBound_aux`: Framework for full inductive proof
- `edge_eq_of_color_eq`: Distinctness of edges with same color
## Testing
All four modules compile with no `sorry` nor errors or warnings.
## References
* V. G. Vizing, *On an estimate of the chromatic class of a p-graph*,
Diskret. Analiz. 3 (1964), 25–30.
## Co-authors
Co-authored-by: Daniel Raggi <dr495@cam.ac.uk>
Co-authored-by: Aristotle (Harmonic) <aristotle-harmonic@harmonic.fun>
Co-authored-by: Claude Opus 4.5 & 4.6 <noreply@anthropic.com>
---
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t-combinatorics
new-contributor
LLM-generated
|
1913/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/EdgeColoring.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/KempeChain.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/VizingFan.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/VizingTheorem.lean |
5 |
4 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
23-54976 23 days ago |
50-30237 50 days ago |
71-5873 71 days |
| 39530 |
RaggedR author:RaggedR |
feat(Combinatorics/SimpleGraph): group actions on simple graphs |
This adds the first connection between Mathlib's MulAction and SimpleGraph libraries. The GraphAction class asserts that a group action on the vertex type preserves the adjacency relation, and builds on it to define vertex-transitivity and arc-transitivity for graphs.
The GraphAction typeclass gives adj_smul_iff (the biconditional for group actions) and toIso (each group element induces a graph automorphism). The IsVertexTransitive class combines GraphAction with IsPretransitive, and IsArcTransitive requires transitivity on ordered adjacent pairs (arcs).
The main theorem is the standard characterization: a graph is arc-transitive if and only if it is vertex-transitive and locally transitive (the stabilizer of each vertex acts transitively on its neighbors). The forward direction is proved directly by composing a vertex-transporting element with a neighbor-transporting stabilizer element. The reverse direction shows that an arc-transitive graph with no isolated vertices is vertex-transitive.
These definitions are the algebraic graph theory prerequisites for formalizing coset graphs (Sabidussi's construction) and the characterization of symmetric graphs via double cosets and involutions (Lorimer's theorem).
---
LLM tools were used to assist with Lean formalization. The mathematical content is the author's own work. |
t-combinatorics
new-contributor
LLM-generated
|
130/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Action.lean |
2 |
7 |
['RaggedR', 'b-mehta', 'github-actions', 'mathlib-bors'] |
nobody |
23-54975 23 days ago |
77-18863 77 days ago |
81-73496 81 days |
| 39627 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/LapMatrix): 0 is always an eigenvalue |
and the determinant is always zero, plus a few other small lemmas.
---
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|
t-combinatorics |
71/15 |
Mathlib/Combinatorics/SimpleGraph/LapMatrix.lean |
1 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
23-54975 23 days ago |
79-15850 79 days ago |
79-63343 79 days |
| 38328 |
astrainfinita author:astrainfinita |
feat: `OrderSupSet` |
This PR introduces `OrderSupSet` and `OrderInfSet`, which are typeclasses expressing that `sSup` (resp., `sInf`) returns the least upper bound (resp., the greatest lower bound) of a set whenever one exists.
This allows us to prove properties about the `sSup` of specific sets (such as `∅`, singletons, finite sets, and `univ`) without any typeclasses asserting the existence of LUBs. For example, `sSup ∅ = ⊥` holds for any type equipped with `OrderBot` `OrderSupSet`, no longer requiring typeclasses like `ConditionallyCompleteLinearOrderBot`.
For a general set `s`, this gives a uniform way to extend results about `IsLUB s a → motive a` to `motive (sSup s)`, `motive (⨆ i, f i)`, `motive (a ⊔ b)`, etc., which allows proof reuse for basic API such as [`csSup_insert`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Order/ConditionallyCompleteLattice/Basic.html#csSup_insert), [`iSup_insert`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Order/CompleteLattice/Basic.html#iSup_insert), and [`sSup_insert`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Order/CompleteLattice/Basic.html#sSup_insert) and downstream code like [`csSup_add`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Algebra/Order/Group/Pointwise/CompleteLattice.html#csSup_add), [`sSup_add`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Algebra/Order/Group/Pointwise/CompleteLattice.html#sSup_add), and [`sup_add`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Algebra/Order/Group/Lattice.html#sup_add).
Furthermore, this allows us to refactor incrementally, reducing the dependency of results about various completeness typeclasses on the specific implementation of `sSup`.
---
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|
t-order |
156/73 |
Mathlib/MeasureTheory/OuterMeasure/Induced.lean,Mathlib/Order/Bounds/Basic.lean,Mathlib/Order/Bounds/Defs.lean,Mathlib/Order/CompleteLattice/Basic.lean,Mathlib/Order/CompleteLattice/Defs.lean,Mathlib/Order/SetNotation.lean,Mathlib/Topology/UniformSpace/OfCompactT2.lean |
7 |
16 |
['JovanGerb', 'astrainfinita', 'b-mehta', 'github-actions', 'j-loreaux', 'mathlib-merge-conflicts', 'openendings', 'vihdzp'] |
nobody |
23-54974 23 days ago |
91-32296 91 days ago |
96-62787 96 days |
| 38906 |
lua-vr author:lua-vr |
feat(ConditionallyCompleteLattice/Indexed): add binary versions of lemmas |
Add binary versions of some of the lemmas. Those are useful when the domain is indexed over the members of a set.
From the Carleson project.
---
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|
t-order
carleson
|
21/5 |
Mathlib/Order/ConditionallyCompleteLattice/Indexed.lean |
1 |
19 |
['JovanGerb', 'SnirBroshi', 'github-actions', 'grunweg', 'lua-vr', 'mathlib-merge-conflicts'] |
nobody |
23-54972 23 days ago |
81-6702 81 days ago |
90-66798 90 days |
| 39438 |
SnirBroshi author:SnirBroshi |
chore(Order/WellFounded): use `to_dual` |
Creates `argmax`/`argmaxOn` duals to the existing `argmin`/`argminOn`,
and `WellFoundedLT.min`/`WellFoundedGT.max` in order to properly dualize `WellFounded.min_le`.
Some theorems about `WellFounded{LT/GT}` which didn't have a dual before have to be renamed to make room,
e.g. `StrictMono.range_inj` is renamed to `StrictMono.range_inj_of_wellFoundedLT`.
---
This is blocking dualizing things in `ConditionallyCompleteLattice/Basic.lean`.
`WellFounded.min_le` has ~30 usages in ~10 files, so deprecating it should probably happen in a separate PR.
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|
t-order |
83/34 |
Mathlib/Data/Finset/Sort.lean,Mathlib/Order/Hom/Set.lean,Mathlib/Order/WellFounded.lean,Mathlib/SetTheory/Ordinal/Enum.lean,Mathlib/Tactic/Translate/ToDual.lean |
5 |
10 |
['JovanGerb', 'SnirBroshi', 'github-actions', 'vihdzp'] |
nobody |
23-54971 23 days ago |
84-52128 84 days ago |
84-60507 84 days |
| 39549 |
Hagb author:Hagb |
feat(Order/RelIso/Basic): `swap`s and `compl`s are `Equiv`s |
---
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|
t-order |
13/8 |
Mathlib/Order/RelIso/Basic.lean |
1 |
3 |
['Hagb', 'github-actions', 'leanprover-radar'] |
nobody |
23-54970 23 days ago |
81-72894 81 days ago |
81-72677 81 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 |
23-52701 23 days ago |
23-53222 23 days ago |
31-35966 31 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 |
23-44943 23 days ago |
32-393 32 days ago |
32-176 32 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 |
23-44737 23 days ago |
27-82671 27 days ago |
27-82454 27 days |
| 41809 |
kebekus author:kebekus |
feat: Truncated Counting Function of Value Distribution Theory |
Introduce (and provide API for) the Truncated Logarithmic Counting Functions. These differ from the Logarithmic Counting Function in that they disregard pole orders and count all poles with multiplicity one. The truncated counting function is the quantity through which the Second Main Theorem of Value Distribution Theory is classically stated.
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
t-analysis
LLM-generated
|
261/0 |
Mathlib.lean,Mathlib/Analysis/Complex/ValueDistribution/LogCounting/Truncated.lean,Mathlib/Topology/LocallyFinsupp.lean |
3 |
1 |
['github-actions'] |
nobody |
23-30233 23 days ago |
23-30233 23 days ago |
23-30016 23 days |
| 41762 |
felixpernegger author:felixpernegger |
chore: replace terminal `convert` with `exact` |
Replaces terminal `convert(!)` with `exact` whenever possible.
---
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|
195/192 |
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 |
152 |
15 |
['Parcly-Taxel', 'adomani', 'chenson2018', 'felixpernegger', 'github-actions', 'grunweg', 'leanprover-radar', 'mathlib-bors'] |
nobody |
23-25486 23 days ago |
24-1479 24 days ago |
24-27947 24 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 |
23-7011 23 days ago |
48-4019 48 days ago |
185-7550 185 days |
| 41200 |
joelriou author:joelriou |
feat(CategoryTheory/Presentable): pure morphisms |
In this PR, we define the notion of `κ`-pure morphisms (`IsCardinalPure`) in a category `C`. This class contains split monomorphisms and is stable under `κ`-filtered colimits. When `C` is a `κ`-accessible category, we show that `κ`-pure morphisms are monomorphisms.
---
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|
t-category-theory
tech debt
|
187/6 |
Mathlib.lean,Mathlib/CategoryTheory/Presentable/Basic.lean,Mathlib/CategoryTheory/Presentable/CardinalPure.lean |
3 |
16 |
['github-actions', 'joelriou', 'smorel394'] |
nobody |
23-4944 23 days ago |
35-14530 35 days ago |
38-68396 38 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 |
23-914 23 days ago |
23-6317 23 days ago |
23-6100 23 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 |
22-82402 22 days ago |
25-11276 25 days ago |
25-11059 25 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
|
58/134 |
Mathlib/AlgebraicGeometry/Sites/Small.lean,Mathlib/CategoryTheory/Sites/Over.lean |
2 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
22-73620 22 days ago |
24-54172 24 days ago |
29-71939 29 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 |
22-71532 22 days ago |
22-76218 22 days ago |
22-76001 22 days |
| 41831 |
YaelDillies author:YaelDillies |
chore(RingTheory/TwoSidedIdeal): rid the `SMulMemClass (TwoSidedIdeal R) Rᵐᵒᵖ R` instance from its `inst` |
See https://github.com/leanprover-community/mathlib4/pull/40718#discussion_r3573863027.
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|
t-ring-theory |
1/1 |
Mathlib/RingTheory/TwoSidedIdeal/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
22-71135 22 days ago |
22-75952 22 days ago |
22-75735 22 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 |
22-69913 22 days ago |
22-69968 22 days ago |
22-69752 22 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 |
22-65849 22 days ago |
22-65849 22 days ago |
24-62835 24 days |
| 33157 |
wwylele author:wwylele |
feat(Combinatorics): partitions and pentagonal numbers |
We prove a corollary of pentagonal number theorem: the number of partitions with odd number of distinct parts and the number of partitions with even number of distinct parts are either equal (n is not pentagonal), or (-1)^k for the k-th pentagonal number
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|
t-combinatorics |
92/0 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/Partition/Basic.lean,Mathlib/Combinatorics/Enumerative/Partition/Pentagonal.lean |
3 |
8 |
['copilot-pull-request-reviewer', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'wwylele'] |
nobody |
22-56025 22 days ago |
22-57631 22 days ago |
22-58085 22 days |
| 39935 |
FordUniver author:FordUniver |
feat(Combinatorics/SimpleGraph/Finite): LocallyFiniteOrder |
Adds an order-theoretic `LocallyFiniteOrder (SimpleGraph V)` instance (closed intervals are finite), distinct from the existing graph-theoretic `LocallyFinite` (vertex degrees) already in this file. The instance takes `DecidableLE` as an explicit hypothesis rather than routing through `Classical`, because per-graph `DecidableRel G.Adj` is value-dependent and cannot be a free global instance.
Co-authored-by: Malte Jackisch <45597826+MaltyBlanket@users.noreply.github.com>
---
Came up while writing a Möbius inversion between copy counts and induced copy counts ([WIP](https://github.com/FordUniver/mathlib4/pull/36/changes)) that sums over the closed interval `Finset.Icc G ⊤` of supergraphs. Decidability of the order plus local-finiteness of the lattice felt like a clean standalone piece to land first, before the rest of the Möbius file.
Less sure about what the conventions for declaring type class instances are in mathlib, let me know if this is not of the expected shape or should not be included at all. |
t-combinatorics |
20/0 |
Mathlib/Combinatorics/SimpleGraph/Finite.lean |
1 |
1 |
['github-actions'] |
nobody |
22-54979 22 days ago |
73-2965 73 days ago |
73-2748 73 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:
- `List.mem_tail_of_count_ge_two`
- `List.exists_pos_get_of_dropLast_count_ge_two`
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).
## Test plan
- [x] `lake build Mathlib.Data.List.Count`
- [x] `lake build Mathlib.Combinatorics.Quiver.Path.PerronFrobenius` (on integration branch)
cc @or4nge19 for review |
t-data |
24/0 |
Mathlib/Data/List/Count.lean |
1 |
3 |
['chenson2018', 'github-actions', 'mkaratarakis'] |
nobody |
22-54959 22 days ago |
72-75579 72 days ago |
72-75962 72 days |
| 40005 |
tautschnig author:tautschnig |
feat(Data/ZMod/Basic): isUnit characterisation in prime power moduli |
Add two lemmas characterising units in ZMod (p^n) via divisibility of the canonical lift:
isUnit_iff_not_prime_dvd_val: for prime p and n > 0,
IsUnit x ↔ ¬ p ∣ x.val.
not_isUnit_iff_prime_dvd_val: for prime p and n > 0,
¬ IsUnit x ↔ p ∣ x.val.
These specialise the existing isUnit_iff_coprime to prime power moduli, where the coprimality condition reduces to a simple divisibility check on the unique prime factor.
---
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|
t-data
new-contributor
|
15/0 |
Mathlib/Data/ZMod/Basic.lean |
1 |
3 |
['copilot-pull-request-reviewer', 'github-actions'] |
nobody |
22-54958 22 days ago |
71-29845 71 days ago |
71-29628 71 days |
| 40590 |
BryceT233 author:BryceT233 |
feat(RingTheory/AdjoinRoot): more on `AdjoinRoot' of monic polynomials |
This PR adds some missing basic API for `AdjoinRoot p` where `p` is a monic polynomial.
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|
t-ring-theory |
27/0 |
Mathlib/RingTheory/AdjoinRoot.lean |
1 |
1 |
['github-actions'] |
nobody |
22-50160 22 days ago |
43-46071 43 days ago |
55-29354 55 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$ |
243/245 |
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 |
11 |
['YaelDillies', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts', 'mathlib-splicebot'] |
nobody |
22-39199 22 days ago |
22-40703 22 days ago |
31-10659 31 days |
| 41845 |
tb65536 author:tb65536 |
chore(GroupTheory/GroupAction/Defs): remove duplicate subgroup action instances |
This PR removes a few duplicate subgroup action instances.
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t-algebra
t-group-theory
label:t-algebra$ |
0/9 |
Mathlib/Algebra/Group/Subgroup/Actions.lean,Mathlib/GroupTheory/GroupAction/Defs.lean |
2 |
1 |
['github-actions'] |
nobody |
22-10020 22 days ago |
22-57815 22 days ago |
22-57599 22 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 |
214/0 |
Mathlib/Geometry/Euclidean/Angle/Incenter.lean |
1 |
13 |
['felixpernegger', 'github-actions', 'jsm28', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'peakpoint'] |
nobody |
22-4578 22 days ago |
36-20439 36 days ago |
133-76711 133 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 |
21-85344 21 days ago |
21-85391 21 days ago |
21-85182 21 days |
| 41865 |
scholzhannah author:scholzhannah |
chore(Topology/Order/LocalExtr): rename several theorems |
Per the mathlib naming conventions. Also discussed on Zulip [#mathlib4 > Renaming `IsLocalMin.on` and `IsMinOn.localize`](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Renaming.20.60IsLocalMin.2Eon.60.20and.20.60IsMinOn.2Elocalize.60/with/611258354).
---
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|
t-topology |
40/21 |
Mathlib/Analysis/Calculus/Darboux.lean,Mathlib/Analysis/Calculus/LocalExtr/Basic.lean,Mathlib/Analysis/Convex/Extrema.lean,Mathlib/Analysis/InnerProductSpace/Rayleigh.lean,Mathlib/Topology/Order/LocalExtr.lean |
5 |
1 |
['github-actions'] |
nobody |
21-84639 21 days ago |
21-84693 21 days ago |
21-84486 21 days |
| 41861 |
stalex444 author:stalex444 |
feat(Algebra/Order/Floor): floor-of-sum dichotomy via fractional parts |
This PR adds four lemmas in Mathlib/Algebra/Order/Floor/Ring.lean, placed in the fractional-part section, complementing the existing one-sided bounds le_floor_add and le_floor_add_floor.
Here are the lemmas:
* floor_add_eq — writes ⌊a + b⌋ exactly as ⌊a⌋ + ⌊b⌋ + ⌊fract a + fract b⌋
* floor_add_eq_add_iff — the floors add exactly ⟺ the fractional parts sum below 1
* floor_add_eq_add_add_one_iff — the +1 case ⟺ the fractional parts sum to at least 1
* floor_add_eq_or — the dichotomy: it's always one or the other
The library has the two inequalities but not the exact case analysis, and this closes that small gap. In addition, these are the lemmas for the mechanical/Beatty-word development proposed here --https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Sturmian.20.28mechanical.29.20words/near/610836902.
Claude helped draft the Lean code; I reviewed the code, built the module locally, and it compiled.
---
I'm flexible on the lemma names should reviewers prefer different forms
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t-algebra
LLM-generated
new-contributor
label:t-algebra$ |
25/0 |
Mathlib/Algebra/Order/Floor/Ring.lean |
1 |
5 |
['BoltonBailey', 'github-actions', 'stalex444'] |
nobody |
21-79188 21 days ago |
21-79188 21 days ago |
22-2145 22 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 |
21-78694 21 days ago |
21-78694 21 days ago |
21-78477 21 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 |
6 |
['alreadydone', 'github-actions', 'plp127'] |
nobody |
21-73136 21 days ago |
21-73136 21 days ago |
25-10340 25 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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|
|
31/19 |
Mathlib/NumberTheory/Niven.lean,Mathlib/RingTheory/IntegralClosure/IsIntegral/Basic.lean,Mathlib/RingTheory/IntegralClosure/IsIntegralClosure/Basic.lean,Mathlib/RingTheory/Polynomial/RationalRoot.lean |
4 |
1 |
['github-actions'] |
nobody |
21-71556 21 days ago |
21-72702 21 days ago |
21-72677 21 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 |
21-60229 21 days ago |
54-20133 54 days ago |
54-19916 54 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?)
<!-- Your PR title will become the first line of the commit message.
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|
t-data |
28/85 |
Mathlib/Data/Seq/Computation.lean |
1 |
5 |
['SnirBroshi', 'github-actions', 'grunweg', 'leanprover-radar'] |
nobody |
21-57743 21 days ago |
21-59294 21 days ago |
22-9281 22 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 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
21-52182 21 days ago |
21-53000 21 days ago |
29-11817 29 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 |
21-49396 21 days ago |
27-12541 27 days ago |
27-12324 27 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 |
21-49084 21 days ago |
28-11568 28 days ago |
28-11395 28 days |
| 40864 |
xroblot author:xroblot |
feat(RingTheory/Localization/FractionRing): add IsFractionRing.fixingSubgroup_range_algebraMap |
Adds `IsFractionRing.fixingSubgroup_range_algebraMap`: if `K` and `L` are the fraction fields of `A` and `B` with `A ⊆ B`, then for `G` acting on `B` and on `L`, the fixing subgroup of (the image of) `A` in `B` equals the fixing subgroup of `K` in `L`.
This lemma was split out of #38864, and is used here to golf the proof of `IsGaloisGroup.fixingSubgroup_range_algebraMap`.
|
t-ring-theory |
24/14 |
Mathlib/FieldTheory/Galois/IsGaloisGroup.lean,Mathlib/RingTheory/Localization/FractionRing.lean |
2 |
1 |
['github-actions'] |
nobody |
21-48966 21 days ago |
48-6270 48 days ago |
48-6943 48 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 |
21-48566 21 days ago |
28-11667 28 days ago |
36-28432 36 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'] |
nobody |
21-48541 21 days ago |
61-648 61 days ago |
61-601 61 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 |
29/26 |
Mathlib/RingTheory/DedekindDomain/Ideal/Lemmas.lean,Mathlib/RingTheory/Ideal/Operations.lean |
2 |
3 |
['Multramate', 'github-actions', 'xroblot'] |
nobody |
21-48131 21 days ago |
56-81128 56 days ago |
56-80911 56 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'] |
kmill assignee:kmill |
21-22101 21 days ago |
21-22659 21 days ago |
59-13467 59 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 |
21-6183 21 days ago |
21-6728 21 days ago |
21-9487 21 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'] |
nobody |
21-2910 21 days ago |
22-1606 22 days ago |
76-21685 76 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 |
21-1352 21 days ago |
21-1408 21 days ago |
21-1191 21 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 |
21-1351 21 days ago |
21-1378 21 days ago |
21-1161 21 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 |
21-855 21 days ago |
21-855 21 days ago |
21-638 21 days |
| 41578 |
kim-em author:kim-em |
chore: weaken hypotheses of Algebra.IsUnramifiedIn.ramificationIdx_eq_one |
This PR drops the unused `[IsDomain R] [Module.Finite ℤ R] [CharZero R] [Algebra.IsIntegral R S]` hypotheses from `Algebra.IsUnramifiedIn.ramificationIdx_eq_one` by proving via `Ideal.ramificationIdx_eq_one` directly rather than through `Ideal.ramificationIdx_eq_one_iff`, and tidy the docstrings in `Mathlib/RingTheory/Unramified/Locus.lean` (fix a stray space before a period, mention `Algebra.IsUnramifiedIn` in the module docstring, add a missing blank line).
Follow-up to [#40886 (feat: add Algebra.IsUnramifiedIn)](https://github.com/leanprover-community/mathlib4/pull/40886).
🤖 Prepared with Claude Code
|
LLM-generated |
8/6 |
Mathlib/NumberTheory/RamificationInertia/Unramified.lean,Mathlib/RingTheory/Unramified/Locus.lean |
2 |
1 |
['github-actions'] |
nobody |
21-724 21 days ago |
21-724 21 days ago |
21-507 21 days |
| 41030 |
tb65536 author:tb65536 |
refactor(GroupTheory/Commensurable): add and generalize API |
This PR makes the following changes to `GroupTheory/Commensurable.lean`:
- Use `IsFiniteRelIndex` instead of `relIndex ≠ 0` to allow use of `IsFiniteRelIndex` API.
- Add API lemmas for `bot`, `top`, `inf`, `map`, `comap`, and `smul`.
- Deprecate the existing conjugation API lemmas as superseded by the new `smul` API lemmas.
- Define `commensurator` directly via `MulAut.conj` rather than going through `ConjAct`.
- Deprecate the auxiliary `commensurator'`.
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|
t-algebra
t-group-theory
label:t-algebra$ |
130/55 |
Mathlib/GroupTheory/Commensurable.lean,Mathlib/GroupTheory/Index.lean,Mathlib/NumberTheory/ModularForms/ArithmeticSubgroups.lean,Mathlib/NumberTheory/ModularForms/CongruenceSubgroups.lean,Mathlib/NumberTheory/ModularForms/Cusps.lean,Mathlib/Topology/Algebra/Group/DiscontinuousSubgroup.lean,Mathlib/Topology/Algebra/IsUniformGroup/DiscreteSubgroup.lean |
7 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
20-85595 20 days ago |
21-1544 21 days ago |
43-71510 43 days |
| 41374 |
SnirBroshi author:SnirBroshi |
chore(SimpleGraph/Girth): namespace `egirth_le_length` under `IsCycle` |
For dot notation and because this is about cycles. This matches the circuit version.
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|
t-combinatorics |
10/6 |
Mathlib/Combinatorics/SimpleGraph/Girth.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
20-85559 20 days ago |
21-349 21 days ago |
34-36136 34 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 |
20-85483 20 days ago |
21-412 21 days ago |
32-30657 32 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 |
20-85139 20 days ago |
20-86378 20 days ago |
34-19300 34 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'] |
eric-wieser assignee:eric-wieser |
20-81816 20 days ago |
20-85724 20 days ago |
82-60318 82 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 |
20-76370 20 days ago |
22-70086 22 days ago |
22-70838 22 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$ |
95/0 |
Mathlib/FieldTheory/Relrank.lean |
1 |
2 |
['copilot-pull-request-reviewer', 'github-actions'] |
nobody |
20-63427 20 days ago |
20-67259 20 days ago |
20-67042 20 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'] |
b-mehta assignee:b-mehta |
20-55879 20 days ago |
34-68677 34 days ago |
47-27300 47 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'] |
tb65536 assignee:tb65536 |
20-55875 20 days ago |
37-1300 37 days ago |
37-1358 37 days |
| 41914 |
Qinghev author:Qinghev |
feat(Analysis/Normed): bound finite convex combinations |
---
codex辅助我完成了编写和校验。 |
t-analysis
LLM-generated
new-contributor
|
8/0 |
Mathlib/Analysis/Normed/Module/Convex.lean |
1 |
3 |
['Qinghev', 'github-actions'] |
nobody |
20-46457 20 days ago |
20-47716 20 days ago |
20-47499 20 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 |
20-45399 20 days ago |
20-54875 20 days ago |
20-55179 20 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 |
20-43893 20 days ago |
20-44450 20 days ago |
29-17440 29 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
label:t-algebra$ |
68/0 |
Mathlib.lean,Mathlib/RepresentationTheory/Stabilizer.lean |
2 |
70 |
['JX-Mo', 'Whysoserioushah', 'github-actions', 'tb65536'] |
nobody |
20-42429 20 days ago |
22-1947 22 days ago |
43-14775 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 |
20-40333 20 days ago |
20-49183 20 days ago |
20-50307 20 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 label:t-algebra$ |
5/1 |
Mathlib/Algebra/Lie/SemiDirect.lean |
1 |
2 |
['github-actions'] |
nobody |
20-26641 20 days ago |
21-9230 21 days ago |
21-9013 21 days |
| 41180 |
xroblot author:xroblot |
feat(NumberTheory/NumberField): congruence for the norm of an unramified prime |
Add `torsionOrder_dvd_absNorm_sub_one'`: if a prime `P` of `𝓞 K` is unramified over `ℤ` and the rational prime below it has norm greater than `2`, then `torsionOrder K` divides `absNorm P - 1`. This is a variant of `torsionOrder_dvd_absNorm_sub_one` that replaces the coprimality hypothesis by unramifiedness.
Also add the helper `pow_torsionOrder_eq_one`.
Co-authored-by: Ashleigh Ratcliffe
Co-authored-by: Bryan Hu
---
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|
t-number-theory
t-algebra
label:t-algebra$ |
84/5 |
Mathlib/NumberTheory/NumberField/Ideal/Basic.lean,Mathlib/NumberTheory/NumberField/Units/Basic.lean |
2 |
19 |
['CBirkbeck', 'github-actions', 'tb65536', 'xroblot'] |
tb65536 assignee:tb65536 |
20-25640 20 days ago |
20-51925 20 days ago |
37-68535 37 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
|
179/0 |
Mathlib.lean,Mathlib/Topology/Connected/HausdorffMeasure.lean,Mathlib/Topology/EMetricSpace/Defs.lean |
3 |
3 |
['CoolRmal', 'github-actions', 'plp127'] |
nobody |
20-23740 20 days ago |
20-25239 20 days ago |
22-59476 22 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'] |
kim-em assignee:kim-em |
20-20457 20 days ago |
20-21204 20 days ago |
84-24768 84 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'] |
nobody |
20-16383 20 days ago |
20-16934 20 days ago |
20-17217 20 days |
| 41892 |
Ljon4ik4 author:Ljon4ik4 |
feat: mapOfCompatibleSMul is the same map independently of S |
The `mapOfCompatibleSMul : M ⊗[A] N →ₗ[S] M ⊗[R] N` is the same map independently of `S`. This PR adds two lemmas asserting that (one for the underlying AddHom, one for the kernels).
I am not quite sure whether the second one is in the optimal shape: It was the shape useful to me, but maybe there is some better way to phrase it or it should be omitted completely (since it follows from the first one...).
---
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|
t-algebra label:t-algebra$ |
10/1 |
Mathlib/LinearAlgebra/TensorProduct/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
20-9305 20 days ago |
21-7505 21 days ago |
21-7288 21 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'] |
nobody |
20-5690 20 days ago |
20-13764 20 days ago |
43-25338 43 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
|
77/13 |
Mathlib.lean,Mathlib/RingTheory/Ideal/HasGoingUp.lean,Mathlib/RingTheory/KrullDimension/Integral.lean |
3 |
13 |
['github-actions', 'mathlib-dependent-issues', 'rshlyakh', 'vlad902'] |
nobody |
20-1224 20 days ago |
20-2311 20 days ago |
20-36357 20 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 |
19-83038 19 days ago |
19-83577 19 days ago |
38-77765 38 days |
| 41907 |
Rob23oba author:Rob23oba |
feat: make `NegZeroClass` and `InvOneClass` mixins |
Most of the changes just add `[Zero α] [Neg α]` or `[One α] [Inv α]`, except:
- The change itself to `InvOneClass` / `NegZeroClass`
- Generalizing `neg_eq_zero` (and related theorems) to `InvolutiveNeg` + `NegZeroClass` and deprecating `EReal.neg_eq_zero_iff` / `ENNReal.inv_eq_zero_iff` / `SignType.neg_eq_zero_iff` which are no longer necessary
- Replacing occurrences of `@inv_one ty _` with `inv_one (G := ty)`
- Removing `one` and `inv` in some instance declarations of the form `:= { one, inv with inv_one := ... }`
- `mabs_sup_div_sup_le_mabs`, `mabs_inf_div_inf_le_mabs` and `tendsto_zpow_nhdsNE_zero_cobounded` needed adaptations; not sure why, something to do with unification?
- handling `InvOneClass` specially in `DomMulAct`
- replacing `neg_apply` in ``
- being more specific (i.e. `inv_one (G := F)` instead of `inv_one`) in the proof of `RatFunc.single_zpow`
- adding an `rw` in `differentIdeal_ne_bot` due to leanprover/lean4#14447
- replacing `ArithmeticFunction.neg_apply` with an `IsNegApply` instance
- adapting meta code by adding more implicit arguments (in the form of `none` arguments to `mkAppOptM`)
Zulip discussion at [#mathlib4 > Having both `NegZeroClass` and `InvolutiveNeg`](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Having.20both.20.60NegZeroClass.60.20and.20.60InvolutiveNeg.60/with/611441611)
---
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|
|
100/71 |
Mathlib/Algebra/Group/Basic.lean,Mathlib/Algebra/Group/Defs.lean,Mathlib/Algebra/Group/EvenFunction.lean,Mathlib/Algebra/Group/Finsupp.lean,Mathlib/Algebra/Group/Hom/Basic.lean,Mathlib/Algebra/Group/InjSurj.lean,Mathlib/Algebra/Group/Pi/Basic.lean,Mathlib/Algebra/Group/WithOne/Defs.lean,Mathlib/Algebra/GroupWithZero/WithZero.lean,Mathlib/Algebra/Order/Group/Unbundled/Abs.lean,Mathlib/Algebra/QuadraticAlgebra/Defs.lean,Mathlib/Algebra/Ring/Periodic.lean,Mathlib/Algebra/TrivSqZeroExt/Basic.lean,Mathlib/Analysis/Normed/Field/Lemmas.lean,Mathlib/Data/ENNReal/Holder.lean,Mathlib/Data/ENNReal/Inv.lean,Mathlib/Data/EReal/Operations.lean,Mathlib/Data/FunLike/Group.lean,Mathlib/Data/Matrix/Basis.lean,Mathlib/Data/Matrix/Diagonal.lean,Mathlib/Data/Sign/Defs.lean,Mathlib/Geometry/Euclidean/Triangle.lean,Mathlib/GroupTheory/GroupAction/DomAct/Basic.lean,Mathlib/LinearAlgebra/Matrix/Block.lean,Mathlib/LinearAlgebra/Matrix/NonsingularInverse.lean,Mathlib/MeasureTheory/VectorMeasure/Basic.lean,Mathlib/NumberTheory/ArithmeticFunction/Defs.lean,Mathlib/Order/Filter/Germ/Basic.lean,Mathlib/RingTheory/DedekindDomain/Different.lean,Mathlib/RingTheory/HahnSeries/Addition.lean,Mathlib/RingTheory/HahnSeries/Cardinal.lean,Mathlib/RingTheory/LaurentSeries.lean,Mathlib/Tactic/Abel.lean,Mathlib/Tactic/Linarith/Verification.lean,Mathlib/Topology/Algebra/SeparationQuotient/Basic.lean,Mathlib/Topology/ContinuousMap/ContinuousMapZero.lean |
36 |
1 |
['github-actions'] |
nobody |
19-74740 19 days ago |
19-77537 19 days ago |
19-80144 19 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 |
19-55737 19 days ago |
19-69480 19 days ago |
19-69263 19 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'] |
nobody |
19-44699 19 days ago |
19-52133 19 days ago |
19-51916 19 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 |
19-42118 19 days ago |
19-46204 19 days ago |
19-45987 19 days |
| 41943 |
xroblot author:xroblot |
feat(RingTheory/Ideal/HasFiniteQuotients): Finite instance for a quotient by a nonzero ideal |
Add an instance deriving `Finite (R ⧸ I)` from `[Ring.HasFiniteQuotients R]` and `[NeZero I]`.
---
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|
|
5/1 |
Mathlib/NumberTheory/NumberField/Cyclotomic/Galois.lean,Mathlib/RingTheory/Ideal/Quotient/HasFiniteQuotients.lean |
2 |
11 |
['github-actions', 'leanprover-radar', 'xroblot'] |
nobody |
19-36784 19 days ago |
19-56839 19 days ago |
19-56622 19 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 |
26/1 |
Mathlib/GroupTheory/QuotientGroup/Basic.lean,Mathlib/GroupTheory/SpecificGroups/Cyclic.lean |
2 |
11 |
['SnirBroshi', 'b-mehta', 'github-actions', 'mathlib-merge-conflicts', 'plp127', 'xroblot'] |
nobody |
19-31760 19 days ago |
23-28631 23 days ago |
23-28571 23 days |
| 41949 |
xroblot author:xroblot |
feat(Logic/Basic): add Subtype.subsingleton_iff |
Add `Subtype.subsingleton_iff`: `Subsingleton (Subtype p) ↔ ∀ a b, p a → p b → a = b`.
---
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|
|
7/5 |
Mathlib/Algebra/Homology/ComplexShape.lean,Mathlib/Logic/Basic.lean |
2 |
1 |
['github-actions'] |
nobody |
19-27840 19 days ago |
19-30952 19 days ago |
19-31501 19 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 |
19-26890 19 days ago |
29-50564 29 days ago |
29-50347 29 days |
| 41817 |
kebekus author:kebekus |
feat: derivative of the Cauchy integral |
If `g` is circle integrable and `w` lies inside the circle, establish that the Cauchy-type integral `fun w ↦ ∮ z in C(c, R), (z - w)⁻¹ • g z` has derivative `∮ z in C(c, R), ((z - w) ^ 2)⁻¹ • g z` at `w`.
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
|
75/0 |
Mathlib/Analysis/Complex/CauchyIntegral.lean |
1 |
3 |
['github-actions', 'j-loreaux', 'kebekus'] |
nobody |
19-24686 19 days ago |
23-7653 23 days ago |
23-7436 23 days |
| 40926 |
Thmoas-Guan author:Thmoas-Guan |
feat(LinearAlgebra): lemmas for `exteriorPower.map` |
Lemmas for `exteriorPower.map`
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|
t-algebra label:t-algebra$ |
9/0 |
Mathlib/LinearAlgebra/ExteriorPower/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
19-23659 19 days ago |
46-27736 46 days ago |
46-27519 46 days |
| 40927 |
Thmoas-Guan author:Thmoas-Guan |
feat(LinearAlgebra): lemmas for vanishing of exteriorPower |
For a module generated by `n` elements, exterior power of order greater than `n` vanishes.
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|
t-algebra label:t-algebra$ |
26/0 |
Mathlib/LinearAlgebra/ExteriorPower/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
19-23642 19 days ago |
46-26926 46 days ago |
46-27277 46 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'] |
nobody |
19-23161 19 days ago |
28-17277 28 days ago |
46-6961 46 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'] |
nobody |
19-22818 19 days ago |
44-21775 44 days ago |
44-21558 44 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'] |
nobody |
19-22598 19 days ago |
46-31626 46 days ago |
46-31409 46 days |
| 41942 |
felixpernegger author:felixpernegger |
style: add missing spaces |
This PR adds some missing spaces per style guide (and removes some bad commas)
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|
161/161 |
Mathlib/Algebra/BigOperators/Pi.lean,Mathlib/Algebra/Category/MonCat/FilteredColimits.lean,Mathlib/Algebra/Lie/Prod.lean,Mathlib/Algebra/Module/Presentation/Basic.lean,Mathlib/Algebra/Module/Torsion/Basic.lean,Mathlib/Algebra/Polynomial/FieldDivision.lean,Mathlib/Algebra/Polynomial/Roots.lean,Mathlib/AlgebraicGeometry/AffineSpace.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Proper.lean,Mathlib/AlgebraicTopology/ModelCategory/Opposite.lean,Mathlib/Analysis/Analytic/Within.lean,Mathlib/Analysis/Convex/TotallyBounded.lean,Mathlib/Analysis/LocallyConvex/Basic.lean,Mathlib/Analysis/SpecialFunctions/Log/InvLog.lean,Mathlib/Analysis/SpecialFunctions/Log/RpowTendsto.lean,Mathlib/CategoryTheory/Abelian/SerreClass/Localization.lean,Mathlib/CategoryTheory/Comma/Over/Basic.lean,Mathlib/CategoryTheory/EpiMono.lean,Mathlib/CategoryTheory/Filtered/Final.lean,Mathlib/CategoryTheory/Filtered/Small.lean,Mathlib/CategoryTheory/Functor/Currying.lean,Mathlib/CategoryTheory/Grothendieck.lean,Mathlib/CategoryTheory/Limits/Shapes/Products.lean,Mathlib/CategoryTheory/Monad/Basic.lean,Mathlib/CategoryTheory/Preadditive/Injective/Basic.lean,Mathlib/CategoryTheory/Products/Basic.lean,Mathlib/CategoryTheory/Sites/Coherent/CoherentTopology.lean,Mathlib/CategoryTheory/Sites/Coherent/ExtensiveSheaves.lean,Mathlib/CategoryTheory/Sites/Coherent/ExtensiveTopology.lean,Mathlib/CategoryTheory/Sites/Continuous.lean,Mathlib/CategoryTheory/Sites/EffectiveEpimorphic.lean,Mathlib/Combinatorics/Matroid/Basic.lean,Mathlib/Combinatorics/Matroid/Circuit.lean,Mathlib/Combinatorics/Matroid/Closure.lean,Mathlib/Combinatorics/Matroid/Dual.lean,Mathlib/Combinatorics/Matroid/Loop.lean,Mathlib/Combinatorics/Matroid/Map.lean,Mathlib/Combinatorics/Matroid/Minor/Contract.lean,Mathlib/Combinatorics/Matroid/Minor/Restrict.lean,Mathlib/Combinatorics/Matroid/Rank/ENat.lean,Mathlib/Combinatorics/Matroid/Sum.lean,Mathlib/Combinatorics/SimpleGraph/Clique.lean,Mathlib/Control/LawfulFix.lean,Mathlib/Data/Finset/Insert.lean,Mathlib/Data/Fintype/EquivFin.lean,Mathlib/Data/Fintype/Perm.lean,Mathlib/Data/Set/Card.lean,Mathlib/Data/Set/Finite/Lattice.lean,Mathlib/Data/Set/Insert.lean,Mathlib/FieldTheory/Galois/Infinite.lean,Mathlib/Lean/Meta.lean,Mathlib/LinearAlgebra/AffineSpace/AffineSubspace/Basic.lean,Mathlib/LinearAlgebra/LinearIndependent/Lemmas.lean,Mathlib/LinearAlgebra/Matrix/Ideal.lean,Mathlib/LinearAlgebra/Matrix/PosDef.lean,Mathlib/Logic/Encodable/Basic.lean,Mathlib/Logic/Equiv/Sum.lean,Mathlib/MeasureTheory/Function/UnifTight.lean,Mathlib/MeasureTheory/VectorMeasure/SetIntegral.lean,Mathlib/MeasureTheory/VectorMeasure/WithDensityVec.lean,Mathlib/ModelTheory/Definability.lean,Mathlib/ModelTheory/ElementarySubstructures.lean,Mathlib/NumberTheory/JacobiSum/Basic.lean,Mathlib/Order/Atoms.lean,Mathlib/Order/Filter/Finite.lean,Mathlib/Order/KrullDimension.lean,Mathlib/Order/ScottContinuity.lean,Mathlib/Order/WithBot.lean,Mathlib/RepresentationTheory/Homological/GroupCohomology/LowDegree.lean,Mathlib/RepresentationTheory/Intertwining.lean,Mathlib/RingTheory/GradedAlgebra/HomogeneousLocalization.lean,Mathlib/RingTheory/RootsOfUnity/Basic.lean,Mathlib/RingTheory/Smooth/Basic.lean,Mathlib/RingTheory/Valuation/ValuativeRel/Basic.lean,Mathlib/Tactic/FunProp/Core.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/Linarith/Datatypes.lean,Mathlib/Tactic/MkIffOfInductiveProp.lean,Mathlib/Tactic/NormNum/Basic.lean,Mathlib/Tactic/NormNum/Inv.lean,Mathlib/Tactic/ProdAssoc.lean,Mathlib/Tactic/SplitIfs.lean,Mathlib/Topology/Algebra/ContinuousMonoidHom.lean,Mathlib/Topology/CWComplex/Classical/Basic.lean,Mathlib/Topology/Category/CompHaus/EffectiveEpi.lean,Mathlib/Topology/Category/CompHausLike/Limits.lean,Mathlib/Topology/Category/Profinite/Nobeling/Span.lean,Mathlib/Topology/Category/Profinite/Nobeling/Successor.lean,Mathlib/Topology/Category/Profinite/Nobeling/ZeroLimit.lean,Mathlib/Topology/Category/Stonean/Basic.lean,Mathlib/Topology/Connected/Clopen.lean,Mathlib/Topology/Homotopy/Lifting.lean,Mathlib/Topology/Irreducible.lean,Mathlib/Topology/LocallyFinsupp.lean |
99 |
2 |
['github-actions', 'grunweg'] |
nobody |
19-14737 19 days ago |
19-56649 19 days ago |
19-56700 19 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 |
['SnirBroshi', 'github-actions', 'peabrainiac'] |
nobody |
18-84661 18 days ago |
20-48767 20 days ago |
20-48550 20 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'] |
alreadydone assignee:alreadydone |
18-55881 18 days ago |
85-19060 85 days ago |
85-79219 85 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'] |
joelriou assignee:joelriou |
18-55878 18 days ago |
78-23440 78 days ago |
78-23823 78 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'] |
nobody |
18-54978 18 days ago |
53-54597 53 days ago |
53-54398 53 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 |
37/0 |
Mathlib.lean,Mathlib/Data/Set/Finite/Sigma.lean |
2 |
1 |
['github-actions'] |
nobody |
18-37292 18 days ago |
18-37842 18 days ago |
18-40999 18 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 |
18-33163 18 days ago |
22-5869 22 days ago |
22-5653 22 days |
| 41961 |
loefflerd author:loefflerd |
feat(NumberTheory/Padics): abstract theory of measures, part II |
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'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
18-27426 18 days ago |
18-74991 18 days ago |
18-74774 18 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'] |
mattrobball assignee:mattrobball |
17-60980 17 days ago |
17-61612 17 days ago |
75-8169 75 days |
| 41759 |
JovanGerb author:JovanGerb |
chore: deprecate `haveI'` and `letI'` |
It seems that the uses of `haveI'` can simply be replaced by `have`. If this doesn't cause performance regressions, then I think that this is desired.
---
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|
139/138 |
Mathlib/Algebra/Order/Field/Power.lean,Mathlib/NumberTheory/LucasLehmer.lean,Mathlib/Tactic/HaveI.lean,Mathlib/Tactic/ModCases.lean,Mathlib/Tactic/NormNum/Basic.lean,Mathlib/Tactic/NormNum/BigOperators.lean,Mathlib/Tactic/NormNum/DivMod.lean,Mathlib/Tactic/NormNum/Eq.lean,Mathlib/Tactic/NormNum/GCD.lean,Mathlib/Tactic/NormNum/Ineq.lean,Mathlib/Tactic/NormNum/Inv.lean,Mathlib/Tactic/NormNum/LegendreSymbol.lean,Mathlib/Tactic/NormNum/OfScientific.lean,Mathlib/Tactic/NormNum/Ordinal.lean,Mathlib/Tactic/NormNum/Pow.lean,Mathlib/Tactic/NormNum/Prime.lean,Mathlib/Tactic/Positivity/Basic.lean,Mathlib/Tactic/Positivity/Core.lean,Mathlib/Tactic/ReduceModChar.lean |
19 |
10 |
['JovanGerb', 'eric-wieser', 'github-actions', 'leanprover-radar', 'thorimur'] |
nobody |
17-60791 17 days ago |
24-54823 24 days ago |
24-56432 24 days |
| 39763 |
NoahW314 author:NoahW314 |
feat(Algebra/GroupWithZero/Divisibility): add `mul_dvd_left_iff_isUnit` |
---
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|
t-algebra label:t-algebra$ |
9/0 |
Mathlib/Algebra/GroupWithZero/Divisibility.lean |
1 |
1 |
['github-actions'] |
joelriou assignee:joelriou |
17-55881 17 days ago |
76-44759 76 days ago |
76-44542 76 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 |
17-30550 17 days ago |
17-34140 17 days ago |
17-34078 17 days |
| 41910 |
wwylele author:wwylele |
feat(Analysis/Normed/Affine): mapping dist with homothety |
---
The file has all sorts of lemma involving `dist` and `homothety`, but the one that applies homothety on both points is surprisingly missing.
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t-analysis |
14/0 |
Mathlib/Analysis/Normed/Affine/AddTorsor.lean |
1 |
1 |
['github-actions'] |
nobody |
17-9072 17 days ago |
20-53146 20 days ago |
20-52929 20 days |
| 37666 |
TJHeeringa author:TJHeeringa |
feat(Analysis/InnerProductSpace/Reproducing): Lipschitz wrt the kernel pseudometric |
RKHSs $H$ have bounded point evaluations. This induces a pseudometric on the underlying space `X`. The function $f\in H$ are Lipschitz continuous with Lipschitz constant $\||f\||$. This adds the theorem `lipschitzWith_ennnorm` encoding this.
---
This PR uses the name `lipschitzWith`, but doesn't actually proof a statment like `LipschitzWith ‖f‖₊ f` where Lipschitzianity is defined with respect to a pseudometric. We could create an instance for the pseudometric. That would give the code below. However, there the `(ofKMD 𝕜 V H)` in the `LipschitzWith ‖f‖₊ (f ∘ (ofKMD 𝕜 V H))` is undesirable. If we pursue the route with this pseudometric instance, then I would need some help, because I don't know how to get around it.
```lean4
section Lipschitz
variable (𝕜 X V) in
/-- Type copy of domain `X` meant for being equipped with the kernel metric, abbreviated `KMD`. -/
@[nolint unusedArguments]
def KernelMetricDomain [RKHS 𝕜 H X V] : Type _ := X
variable (𝕜 V) in
/-- `toKMD` is the identity function to the `KernelMetricDomain 𝕜 X V H` of a `X`. -/
def toKMD : X ≃ KernelMetricDomain 𝕜 X V H := Equiv.refl _
variable (𝕜 V) in
/-- `ofKMD` is the identity function from the `KernelMetricDomain 𝕜 X V H` to `X`. -/
def ofKMD : KernelMetricDomain 𝕜 X V H ≃ X := Equiv.refl _
omit [CompleteSpace H] [CompleteSpace V] in
@[simp] theorem toKMD_symm_eq : (toKMD 𝕜 V H).symm = ofKMD 𝕜 V H := by rfl
omit [CompleteSpace H] [CompleteSpace V] in
@[simp] theorem ofKMD_symm_eq : (ofKMD 𝕜 V H).symm = toKMD 𝕜 V H := by rfl
omit [CompleteSpace H] [CompleteSpace V] in
@[simp] theorem ofKMD_toKMD (x : X) : ofKMD 𝕜 V H (toKMD 𝕜 V H x) = x := by rfl
omit [CompleteSpace H] [CompleteSpace V] in
@[simp]
theorem toKMD_ofKMD (x : KernelMetricDomain 𝕜 X V H) :
toKMD 𝕜 V H (ofKMD 𝕜 V H x) = x := by
rfl
variable (𝕜 X V) in
instance instKMDPseudoEMetricSpace [RKHS 𝕜 H X V] :
PseudoEMetricSpace (KernelMetricDomain 𝕜 X V H) :=
PseudoEMetricSpace.induced ((kerFun H) ∘ ofKMD 𝕜 V H) inferInstance
@[simp]
lemma edist_KMD (x y : KernelMetricDomain 𝕜 X V H) :
edist x y = edist (kerFun H (ofKMD 𝕜 V H x)) (kerFun H (ofKMD 𝕜 V H y)) :=
rfl
variable {H} in
theorem lipschitzWith_ennnorm' (f : H) (x y : X) :
edist (f x) (f y) ≤ ‖f‖₊ * edist (kerFun H x) (kerFun H y) := by
by_cases h : f = 0
· simp [h]
simp_rw [edist_eq_enorm_sub, ← eval_apply, ← sub_apply]
grw [le_opENorm]
rw [← enorm_eq_nnnorm, mul_comm, ENNReal.mul_le_mul_iff_right (enorm_ne_zero.mpr h) enorm_ne_top]
simp_rw [kerFun_eq_adjoint_eval, ← LinearIsometryEquiv.map_sub, enorm_le_iff_norm_le,
LinearIsometryEquiv.norm_map, le_refl]
variable {H} in
theorem lipschitzWith_ennnorm (f : H) :
LipschitzWith ‖f‖₊ (f ∘ (ofKMD 𝕜 V H)) :=
fun x y => by simpa [edist_KMD] using lipschitzWith_ennnorm' f (ofKMD 𝕜 V H x) (ofKMD 𝕜 V H y)
end Lipschitz
```
#### AI:
I had the instance outside the theorem. Lean gave problems with resolving type classes / instance synthesis. I asked Claude and ChatGPT to interpret the error and fix it. The latter just spit gibberish and the former suggested inlining but in a way that didn't work. Then, I asked on Zulip and got the same suggestion but working. The type synonym alternative was also suggested there. The final PR doesn't include the instance because of the aforementioned reasons.
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t-analysis
new-contributor
|
26/6 |
Mathlib/Analysis/InnerProductSpace/Reproducing.lean |
1 |
10 |
['TJHeeringa', 'github-actions', 'j-loreaux', 'jkandel1'] |
nobody |
17-2085 17 days ago |
17-2733 17 days ago |
24-18565 24 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/Basic.lean,Mathlib/Data/EReal/Basic.lean,Mathlib/Data/Real/ENatENNReal.lean |
3 |
9 |
['YaelDillies', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
16-85325 16 days ago |
17-1571 17 days ago |
37-75232 37 days |
| 42012 |
grunweg author:grunweg |
feat: `isInvertible_mfderiv_extend` |
Prove that extended charts have invertible `mfderiv`, provided they lie in a maximal atlas.
This generalises `isInvertible_mfderiv_extChartAt` and its preliminary lemmas to any extended chart in the maximal atlas: this will be used in #41796 to prove that immersions have immersed points.
----------
- [x] depends on: https://github.com/leanprover-community/mathlib4/pull/42011
---
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t-differential-geometry |
132/63 |
Mathlib/Geometry/Manifold/MFDeriv/Atlas.lean |
1 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
16-66281 16 days ago |
16-78699 16 days ago |
16-78811 16 days |
| 42017 |
plp127 author:plp127 |
chore(Algebra/MvPolynomial/Eval): deprecate duplicate definition |
Deprecate `MvPolynomial.eval₂AlgHom`, which is a duplicate of `MvPolynomial.aeval`. I chose to keep `MvPolynomial.aeval` over `MvPolynomial.eval₂AlgHom` because the corresponding definition for univariate polynomials is `Polynomial.aeval`.
---
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t-algebra label:t-algebra$ |
26/24 |
Mathlib/Algebra/MvPolynomial/Eval.lean,Mathlib/RingTheory/DividedPowerAlgebra/Init.lean |
2 |
1 |
['github-actions'] |
nobody |
16-63349 16 days ago |
16-64905 16 days ago |
16-65638 16 days |
| 38002 |
Raph-DG author:Raph-DG |
feat(Topology): Relating irreducible components of a space to codimension one points in non dense subsets |
In this PR we show that the coheight zero points of a sober space (in the specialization order) correspond to the irreducible components. Furthermore, we show that the coheight one points of any non dense subset p of X (in the specialization order on X) have coheight zero in the specialization order on p.
---
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|
large-import
t-topology
|
112/0 |
Mathlib/Order/Hom/Basic.lean,Mathlib/Order/KrullDimension.lean,Mathlib/Order/Minimal.lean,Mathlib/Topology/Inseparable.lean,Mathlib/Topology/KrullDimension.lean,Mathlib/Topology/Sober.lean |
6 |
7 |
['ADedecker', 'Raph-DG', 'dagurtomas', 'github-actions', 'mathlib-merge-conflicts'] |
fpvandoorn assignee:fpvandoorn |
16-55883 16 days ago |
43-85788 43 days ago |
111-82466 111 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 |
16-54981 16 days ago |
38-22045 38 days ago |
69-71324 69 days |
| 42015 |
plp127 author:plp127 |
chore(GroupTheory/FreeGroup): fix recursor argument name |
Fix the argument names to `FreeGroup.induction_on` and `FreeAddGroup.induction_on`. Name the motive `motive` and name the minor premises according to their contents.
---
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|
t-group-theory |
6/6 |
Mathlib/GroupTheory/FreeGroup/Basic.lean |
1 |
1 |
['felixpernegger', 'github-actions'] |
nobody |
16-51677 16 days ago |
16-73287 16 days ago |
16-73070 16 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'] |
riccardobrasca assignee:riccardobrasca |
16-39392 16 days ago |
18-31420 18 days ago |
19-5379 19 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 |
16-19313 16 days ago |
16-21300 16 days ago |
16-21083 16 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`
* `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_prod₀`
* `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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[](https://gitpod.io/from-referrer/)
|
t-algebra
t-order
label:t-algebra$ |
303/229 |
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/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 |
35 |
15 |
['Vierkantor', 'YaelDillies', 'b-mehta', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts', 'vihdzp'] |
b-mehta assignee:b-mehta |
16-1913 16 days ago |
16-22626 16 days ago |
30-82184 30 days |
| 39537 |
robin-carlier author:robin-carlier |
feat(CategoryTheory/Bicategory/Span): bicategories of spans |
In this PR, we extend the constructions from #39536 to a bicategory structure on `Spans C Wₗ Wᵣ`, which is a type alias for `C`, where the 1-morphisms are spans in `C` with left leg satisfying `Wₗ` and the right leg satisfies `Wᵣ`.
From [SymmMonCoherence](https://github.com/robin-carlier/SymmMonCoherence)
---
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[](https://gitpod.io/from-referrer/)
|
t-category-theory |
370/3 |
Mathlib/CategoryTheory/Bicategory/Span/Basic.lean |
1 |
8 |
['github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'robin-carlier'] |
nobody |
15-82524 15 days ago |
15-83375 15 days ago |
16-8779 16 days |
| 37562 |
IvanRenison author:IvanRenison |
feat(Combinatorics/SimpleGraph): add several lemmas about when `Walk.bypass` and `Walk.cycleBypass` do nothing |
Co-authored-by: Vlad Tsyrklevich <vlad@tsyrklevi.ch>
---
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
50/4 |
Mathlib/Combinatorics/SimpleGraph/Metric.lean,Mathlib/Combinatorics/SimpleGraph/Paths.lean |
2 |
24 |
['IvanRenison', 'SnirBroshi', 'YaelDillies', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'ocfnash', 'vlad902'] |
nobody |
15-68094 15 days ago |
15-68689 15 days ago |
40-68268 40 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 |
5 |
['SnirBroshi', 'b-mehta', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
15-64132 15 days ago |
15-67025 15 days ago |
73-47586 73 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'] |
nobody |
15-61257 15 days ago |
15-61826 15 days ago |
15-61740 15 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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[](https://gitpod.io/from-referrer/)
|
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 |
15-34513 15 days ago |
15-36242 15 days ago |
15-64719 15 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$ |
337/538 |
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 |
8 |
['NoahW314', 'YaelDillies', 'github-actions', 'leanprover-radar', 'tb65536'] |
nobody |
15-34381 15 days ago |
17-41218 17 days ago |
17-43498 17 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 |
15-26151 15 days ago |
25-30330 25 days ago |
25-31948 25 days |
| 41533 |
YaelDillies author:YaelDillies |
refactor: notation for `EventuallyEq` on `Set` |
Introduce definitions `EventuallyEqSet`, `EventuallySubset` as the `Set` versions of `EventuallyEq` and `EventuallyLE`. Make the notations `x =ᶠ[l] y`, `x ≤ᶠ[l] y` `x =ᵐ[μ] y`. elaborate to either the `Set` or functiion version depending on the expected type of the argument.
In mathlib, we currently use the function predicates for sets, which abuses the `Set α := α → Prop` defeq and which will break once we make `Set` a one-field structure.
Note that some simp lemmas aren't in simp normal form anymore because `(· ∈ someSetConstruction)` simplifies already. We might want to make the above into actual definitions instead of notation to avoid this.
Generated by Claude Opus, reviewed line by line by myself, with a large amount of manual edits and further Claude prompting to polish the angles.
Assisted-by: Claude Opus 4.8
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|
t-topology
LLM-generated
t-measure-probability
|
695/332 |
Mathlib/Analysis/Analytic/Basic.lean,Mathlib/Analysis/Calculus/ContDiff/Defs.lean,Mathlib/Analysis/Calculus/ContDiff/FTaylorSeries.lean,Mathlib/Analysis/Calculus/ContDiff/Operations.lean,Mathlib/Analysis/Calculus/FDeriv/Congr.lean,Mathlib/Analysis/Calculus/FDeriv/Symmetric.lean,Mathlib/Analysis/Calculus/VectorField.lean,Mathlib/Dynamics/Ergodic/Conservative.lean,Mathlib/Dynamics/Ergodic/Ergodic.lean,Mathlib/Dynamics/Ergodic/RadonNikodym.lean,Mathlib/Geometry/Manifold/ContMDiff/Atlas.lean,Mathlib/Geometry/Manifold/ContMDiff/Defs.lean,Mathlib/Geometry/Manifold/IsManifold/ExtChartAt.lean,Mathlib/Geometry/Manifold/LocalInvariantProperties.lean,Mathlib/Geometry/Manifold/MFDeriv/Basic.lean,Mathlib/Geometry/Manifold/VectorField/LieBracket.lean,Mathlib/MeasureTheory/Function/ConditionalExpectation/AEMeasurable.lean,Mathlib/MeasureTheory/Function/ConvergenceInMeasure.lean,Mathlib/MeasureTheory/Function/StronglyMeasurable/AEStronglyMeasurable.lean,Mathlib/MeasureTheory/Group/Action.lean,Mathlib/MeasureTheory/Group/FundamentalDomain.lean,Mathlib/MeasureTheory/Integral/Bochner/Set.lean,Mathlib/MeasureTheory/Integral/CurveIntegral/Basic.lean,Mathlib/MeasureTheory/Integral/IntegrableOn.lean,Mathlib/MeasureTheory/Integral/Layercake.lean,Mathlib/MeasureTheory/MeasurableSpace/EventuallyMeasurable.lean,Mathlib/MeasureTheory/Measure/AEMeasurable.lean,Mathlib/MeasureTheory/Measure/Comap.lean,Mathlib/MeasureTheory/Measure/ContinuousPreimage.lean,Mathlib/MeasureTheory/Measure/EverywherePos.lean,Mathlib/MeasureTheory/Measure/Lebesgue/Basic.lean,Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/MeasureTheory/Measure/NullMeasurable.lean,Mathlib/MeasureTheory/Measure/Regular.lean,Mathlib/MeasureTheory/Measure/Restrict.lean,Mathlib/MeasureTheory/Measure/Typeclasses/Finite.lean,Mathlib/MeasureTheory/OuterMeasure/AE.lean,Mathlib/MeasureTheory/OuterMeasure/BorelCantelli.lean,Mathlib/NumberTheory/WellApproximable.lean,Mathlib/Order/Filter/Basic.lean,Mathlib/Order/Filter/CardinalInter.lean,Mathlib/Order/Filter/CountableInter.lean,Mathlib/Order/Filter/Defs.lean,Mathlib/Order/Filter/Finite.lean,Mathlib/Order/Filter/IndicatorFunction.lean,Mathlib/Probability/BorelCantelli.lean,Mathlib/Probability/Distributions/Fernique.lean,Mathlib/Probability/Process/LocalProperty.lean,Mathlib/Topology/Baire/BaireMeasurable.lean,Mathlib/Topology/ContinuousOn.lean,Mathlib/Topology/NhdsWithin.lean,Mathlib/Topology/OpenPartialHomeomorph/Continuity.lean,Mathlib/Topology/Separation/Basic.lean |
53 |
6 |
['SnirBroshi', 'YaelDillies', 'github-actions', 'themathqueen'] |
urkud assignee:urkud |
15-26129 15 days ago |
15-29236 15 days ago |
24-68775 24 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 |
15-25693 15 days ago |
75-40322 75 days ago |
75-40105 75 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 |
8/9 |
Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Basic.lean,Mathlib/Analysis/Normed/Ring/Basic.lean,Mathlib/GroupTheory/GroupAction/SubMulAction.lean |
3 |
1 |
['github-actions'] |
nobody |
15-24992 15 days ago |
15-27156 15 days ago |
15-30127 15 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 |
19 |
['SnirBroshi', 'Vierkantor', 'YaelDillies', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
b-mehta assignee:b-mehta |
15-24845 15 days ago |
15-27974 15 days ago |
69-84666 69 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'] |
mattrobball assignee:mattrobball |
15-23925 15 days ago |
15-25992 15 days ago |
15-32060 15 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 |
15-15696 15 days ago |
15-53666 15 days ago |
15-53449 15 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 |
15-15677 15 days ago |
15-53666 15 days ago |
15-53449 15 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'] |
nobody |
15-13033 15 days ago |
20-75233 20 days ago |
20-75035 20 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 |
15-11465 15 days ago |
15-11465 15 days ago |
31-51817 31 days |
| 41976 |
fpvandoorn author:fpvandoorn |
refactor(simps): centralize notation_class and initialize_simps_projections |
* Create a single file that declares all `notation_class` attributes and `initialize_simps_projections` calls for many structures in Core.
* Some of these notation classes were previously declared in `Tactic.Simps.Basic` or in other Mathlib files. The latter was problematic, because then you could have files that import `simps` and a Core structure, but not generate the right simp lemmas.
* Make sure that we import this file instead of the internal `Tactic.Simps.Basic` file throughout Mathlib. Not importing this file can cause `simps` to generate wrong lemmas.
* Also call `initialize_simps_projections` for (some) classes that are declared in Mathlib. (This is not super important, but ensures that these projections have to be only generated once, instead of in every file that imports it.)
* This was prompted by observing faulty behavior in #40653.
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|
large-import
t-meta
maintainer-merge
|
170/36 |
Mathlib.lean,Mathlib/Algebra/Group/Defs.lean,Mathlib/Algebra/Notation/Defs.lean,Mathlib/CategoryTheory/Monoidal/Functor/Types.lean,Mathlib/Data/FunLike/Basic.lean,Mathlib/Data/Subtype.lean,Mathlib/Data/TwoPointing.lean,Mathlib/Logic/Equiv/Defs.lean,Mathlib/Order/Defs/LinearOrder.lean,Mathlib/Order/Notation.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Common.lean,Mathlib/Tactic/ProdAssoc.lean,Mathlib/Tactic/ProxyType.lean,Mathlib/Tactic/Simps.lean,Mathlib/Tactic/Simps/Basic.lean,Mathlib/Tactic/Simps/NotationClass.lean,MathlibTest/Simps.lean,MathlibTest/TacticCheckInstancesSimps.lean |
19 |
3 |
['github-actions', 'joneugster'] |
nobody |
15-8208 15 days ago |
18-5490 18 days ago |
18-5545 18 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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|
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'] |
nobody |
15-6277 15 days ago |
51-54739 51 days ago |
111-53181 111 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 |
14-70955 14 days ago |
14-72021 14 days ago |
14-72823 14 days |
| 42070 |
felixpernegger author:felixpernegger |
chore: order imports of leaf files |
This PR orders imports of (almost) all leaf files to the standard
public import A
public import C
import B
import D
format. Excludes 18 files where `import all` or `public meta import` appears since we dont have a fixed convention for these imports yet.
---
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|
492/492 |
Mathlib/Algebra/Algebra/Subalgebra/Matrix.lean,Mathlib/Algebra/Azumaya/Basic.lean,Mathlib/Algebra/Category/ModuleCat/Differentials/Presheaf.lean,Mathlib/Algebra/Category/ModuleCat/ExteriorPower.lean,Mathlib/Algebra/Category/ModuleCat/Pseudofunctor.lean,Mathlib/Algebra/Category/ModuleCat/Sheaf/PullbackFree.lean,Mathlib/Algebra/Category/MonCat/Adjunctions.lean,Mathlib/Algebra/Category/MonCat/Colimits.lean,Mathlib/Algebra/Category/Ring/Topology.lean,Mathlib/Algebra/Category/Ring/Under/Property.lean,Mathlib/Algebra/DirectSum/Idempotents.lean,Mathlib/Algebra/FreeMonoid/FreeSemigroup.lean,Mathlib/Algebra/Group/Action/Equidecomp.lean,Mathlib/Algebra/Group/Pointwise/Finset/Density.lean,Mathlib/Algebra/Group/Pointwise/Finset/Interval.lean,Mathlib/Algebra/GroupWithZero/Action/Pointwise/Finset.lean,Mathlib/Algebra/GroupWithZero/Submonoid/CancelMulZero.lean,Mathlib/Algebra/HierarchyDesign.lean,Mathlib/Algebra/Homology/GrothendieckAbelian.lean,Mathlib/Algebra/Lie/Classical.lean,Mathlib/Algebra/Lie/DirectSum.lean,Mathlib/Algebra/Module/GradedModule.lean,Mathlib/Algebra/Module/PointwisePi.lean,Mathlib/Algebra/Module/Presentation/Differentials.lean,Mathlib/Algebra/Module/Presentation/Finite.lean,Mathlib/Algebra/Module/Presentation/RestrictScalars.lean,Mathlib/Algebra/Module/Torsion/PrimaryComponent.lean,Mathlib/Algebra/MvPolynomial/SchwartzZippel.lean,Mathlib/Algebra/NoZeroSMulDivisors/Pi.lean,Mathlib/Algebra/Order/Group/Bounds.lean,Mathlib/Algebra/Order/GroupWithZero/Lex.lean,Mathlib/Algebra/Order/Interval/Basic.lean,Mathlib/Algebra/Order/SuccPred/TypeTags.lean,Mathlib/Algebra/Polynomial/SpecificDegree.lean,Mathlib/Algebra/Ring/Ext.lean,Mathlib/Algebra/Ring/Pointwise/Finset.lean,Mathlib/Algebra/Ring/Subgroup.lean,Mathlib/Algebra/SkewMonoidAlgebra/Lift.lean,Mathlib/Algebra/Star/CentroidHom.lean,Mathlib/Algebra/Star/Free.lean,Mathlib/Algebra/Tropical/BigOperators.lean,Mathlib/AlgebraicGeometry/AffineTransitionLimit.lean,Mathlib/AlgebraicGeometry/AlgebraicCycle/Basic.lean,Mathlib/AlgebraicGeometry/Group/Smooth.lean,Mathlib/AlgebraicGeometry/Morphisms/FlatRank.lean,Mathlib/AlgebraicGeometry/Sites/Representability.lean,Mathlib/AlgebraicTopology/ModelCategory/JoyalTrick.lean,Mathlib/AlgebraicTopology/ModelCategory/Over.lean,Mathlib/AlgebraicTopology/Quasicategory/StrictBicategory.lean,Mathlib/AlgebraicTopology/SimplicialSet/Homology/Nondegenerate.lean,Mathlib/AlgebraicTopology/SimplicialSet/NonsingularColimit.lean,Mathlib/Analysis/Asymptotics/Completion.lean,Mathlib/Analysis/CStarAlgebra/CompletelyPositiveMap.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Note.lean,Mathlib/Analysis/CStarAlgebra/Multiplier.lean,Mathlib/Analysis/Calculus/DerivativeTest.lean,Mathlib/Analysis/Calculus/Gradient/Basic.lean,Mathlib/Analysis/Calculus/ImplicitFunction/Bivariate.lean,Mathlib/Analysis/Calculus/LineDeriv/QuadraticMap.lean,Mathlib/Analysis/Calculus/LocalExtr/LineDeriv.lean,Mathlib/Analysis/Calculus/LocalExtr/Polynomial.lean,Mathlib/Analysis/Calculus/Rademacher.lean,Mathlib/Analysis/Calculus/TangentCone/ProperSpace.lean,Mathlib/Analysis/Calculus/TangentCone/Seq.lean,Mathlib/Analysis/Calculus/TaylorIntegral.lean,Mathlib/Analysis/Complex/Hadamard.lean,Mathlib/Analysis/Complex/Harmonic/Liouville.lean,Mathlib/Analysis/Complex/Tietze.lean,Mathlib/Analysis/Complex/UpperHalfPlane/FixedPoints.lean,Mathlib/Analysis/Complex/UpperHalfPlane/Measure.lean,Mathlib/Analysis/ConstantSpeed.lean,Mathlib/Analysis/Convex/AmpleSet.lean,Mathlib/Analysis/Convex/Birkhoff.lean,Mathlib/Analysis/Convex/Extrema.lean,Mathlib/Analysis/Convex/SimplicialComplex/AffineIndependentUnion.lean,Mathlib/Analysis/Distribution/Support.lean,Mathlib/Analysis/InnerProductSpace/JointEigenspace.lean,Mathlib/Analysis/InnerProductSpace/OfNorm.lean,Mathlib/Analysis/InnerProductSpace/StarOrder.lean,Mathlib/Analysis/LocallyConvex/Montel.lean,Mathlib/Analysis/LocallyConvex/PointwiseConvergence.lean,Mathlib/Analysis/Normed/Affine/ContinuousAffineMap.lean,Mathlib/Analysis/Normed/Affine/MazurUlam.lean,Mathlib/Analysis/Normed/Algebra/MatrixExponential.lean,Mathlib/Analysis/Normed/Algebra/QuaternionExponential.lean,Mathlib/Analysis/Normed/Group/SemiNormedGrp/Completion.lean,Mathlib/Analysis/Normed/Group/SemiNormedGrp/Kernels.lean,Mathlib/Analysis/Normed/Module/ContinuousInverse.lean,Mathlib/Analysis/Normed/Operator/Perturbation/StrictByFinite.lean,Mathlib/Analysis/ODE/Transform.lean,Mathlib/Analysis/Real/Pi/Irrational.lean,Mathlib/Analysis/SpecialFunctions/ArithmeticGeometricMean.lean,Mathlib/Analysis/SpecialFunctions/BinaryEntropy.lean,Mathlib/Analysis/SpecialFunctions/CompareExp.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/ExpLog/Order.lean,Mathlib/Analysis/SpecialFunctions/Log/Monotone.lean,Mathlib/Analysis/SpecialFunctions/Pochhammer.lean,Mathlib/Analysis/SpecialFunctions/Pow/Integral.lean,Mathlib/Analysis/SpecialFunctions/Pow/NthRootLemmas.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Chebyshev/ChebyshevGauss.lean |
368 |
6 |
['felixpernegger', 'github-actions', 'leanprover-radar', 'mathlib-bors'] |
nobody |
14-69575 14 days ago |
14-69835 14 days ago |
14-69650 14 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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|
102/106 |
Archive/Arithcc.lean,Archive/Examples/Eisenstein.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/NumberTheory/RatFunc/Ostrowski.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 |
80 |
24 |
['felixpernegger', 'github-actions', 'leanprover-radar', 'themathqueen', 'vlad902'] |
nobody |
14-56542 14 days ago |
20-70101 20 days ago |
20-77777 20 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'] |
alreadydone assignee:alreadydone |
14-55880 14 days ago |
71-18240 71 days ago |
71-18102 71 days |
| 39807 |
vihdzp author:vihdzp |
feat: universe-heterogeneous cardinal equality |
We introduce a predicate `LiftEq a b`, with notation `a =ₗ b`, which states that two cardinals (in different universes) are equal. This serves as a single canonical spelling for `lift.{v} a = lift.{u} b` and similar incantations.
Future PRs will introduce the analogous predicates for `<` and `≤`, and a notation typeclass so the notation can be reused for `Ordinal` and `OrderType`.
---
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[](https://gitpod.io/from-referrer/)
|
t-set-theory
tech debt
|
316/149 |
Mathlib/CategoryTheory/Abelian/GrothendieckCategory/EnoughInjectives.lean,Mathlib/FieldTheory/IsAlgClosed/Classification.lean,Mathlib/LinearAlgebra/Dimension/Basic.lean,Mathlib/LinearAlgebra/Dimension/Constructions.lean,Mathlib/LinearAlgebra/Dimension/Free.lean,Mathlib/LinearAlgebra/Dimension/FreeAndStrongRankCondition.lean,Mathlib/LinearAlgebra/Dimension/LinearMap.lean,Mathlib/LinearAlgebra/Dimension/StrongRankCondition.lean,Mathlib/ModelTheory/Basic.lean,Mathlib/ModelTheory/Satisfiability.lean,Mathlib/RingTheory/AlgebraicIndependent/Basic.lean,Mathlib/RingTheory/AlgebraicIndependent/RankAndCardinality.lean,Mathlib/RingTheory/AlgebraicIndependent/TranscendenceBasis.lean,Mathlib/RingTheory/LinearDisjoint.lean,Mathlib/RingTheory/Localization/Cardinality.lean,Mathlib/SetTheory/Cardinal/Aleph.lean,Mathlib/SetTheory/Cardinal/Arithmetic.lean,Mathlib/SetTheory/Cardinal/Basic.lean,Mathlib/SetTheory/Cardinal/Defs.lean,Mathlib/SetTheory/Cardinal/ENat.lean,Mathlib/SetTheory/Cardinal/Order.lean,Mathlib/SetTheory/Cardinal/ToNat.lean,Mathlib/SetTheory/Ordinal/Univ.lean,Mathlib/SetTheory/ZFC/Cardinal.lean |
24 |
3 |
['acmepjz', 'github-actions', 'mathlib-merge-conflicts'] |
alreadydone assignee:alreadydone |
14-53206 14 days ago |
14-55251 14 days ago |
54-45258 54 days |
| 37751 |
JovanGerb author:JovanGerb |
chore(Order/Filter/IsBounded): use `to_dual` |
use `to_dual` for `Filter.IsBounded`
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[](https://gitpod.io/from-referrer/)
|
tech debt |
81/227 |
Mathlib/Algebra/Order/Monoid/Unbundled/Basic.lean,Mathlib/Order/Filter/IsBounded.lean |
2 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
14-51723 14 days ago |
14-54483 14 days ago |
53-56153 53 days |
| 42077 |
themathqueen author:themathqueen |
chore(LinearAlgebra/PerfectPairing/Basic): generalize to `AddCommMonoid` |
There's no reason for `LinearEquiv.flip` to be restricted to `AddCommGroup` over `CommRing`, so we weaken it to `AddCommMonoid` over `CommSemiring`.
But, while we're here, I just weakened the whole file (excluding the Field section).
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
7/5 |
Mathlib/LinearAlgebra/PerfectPairing/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
14-47139 14 days ago |
14-47742 14 days ago |
14-47543 14 days |
| 38200 |
Parcly-Taxel author:Parcly-Taxel |
feat: Turán numbers and their strict monotonicity |
`strictMonoOn_turanNumber` was initially proved by @Aristotle-Harmonic, then hand-polished.
Co-authored-by: Aristotle (Harmonic) <aristotle-harmonic@harmonic.fun> |
t-combinatorics
tech debt
maintainer-merge
|
45/20 |
Mathlib/Combinatorics/SimpleGraph/Extremal/Turan.lean |
1 |
9 |
['Parcly-Taxel', 'YaelDillies', 'github-actions', 'mathlib-merge-conflicts', 'tb65536'] |
nobody |
14-39312 14 days ago |
14-39948 14 days ago |
108-15636 108 days |
| 37685 |
vihdzp author:vihdzp |
feat: Fodor's lemma |
We define stationary sets and prove Fodor's lemma, following the proof at Wikipedia.
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I'm surprised that this has a [Wikipedia article](https://en.wikipedia.org/wiki/Fodor%27s_lemma) but isn't listed in 1000.yaml. Is it just because the name has "lemma" instead of "theorem"?
[](https://gitpod.io/from-referrer/)
|
t-set-theory
t-order
large-import
maintainer-merge
|
70/3 |
Mathlib/SetTheory/Cardinal/Cofinality/Club.lean,Mathlib/SetTheory/Ordinal/Basic.lean |
2 |
16 |
['YaelDillies', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'staroperator', 'vihdzp'] |
nobody |
14-39259 14 days ago |
15-36419 15 days ago |
15-71260 15 days |
| 38227 |
vihdzp author:vihdzp |
chore(Algebra/Order/Monoid/Unbundled/Basic): golfing + formatting |
We make use of `variable`, fix some weird spacing, and golf many proofs.
The only breaking change is that `mul_lt_iff_lt_one_left'`/`add_lt_iff_neg_left` now takes an explicit argument, matching the theorems surrounding it.
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Not too fond of the `calc` tactic.
[](https://gitpod.io/from-referrer/)
|
t-algebra
t-order
maintainer-merge
label:t-algebra$ |
233/501 |
Mathlib/Algebra/Order/Archimedean/Real/Basic.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Basic.lean |
2 |
9 |
['YaelDillies', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
14-38016 14 days ago |
14-76360 14 days ago |
39-82802 39 days |
| 41965 |
bryangingechen author:bryangingechen |
ci: retire legacy zulip emoji workflows, enable emojis on mathlib4-nightly-testing |
This PR replaces our existing zulip emoji reaction workflows with new triggers in the new "reconciliation" workflow (`zulip_emoji_reconcile.yml`) added in #41852.
Deleted workflows:
- `zulip_emoji_ci_status.yaml`: handles CI status reactions. Replaced with `workflow_run` trigger.
- `zulip_emoji_closed_pr.yaml`: handles reactions for closed / reopened PRs. Replaced with `pull_request_target` `closed` and `reopened` triggers.
- `zulip_emoji_labelling.yaml`: handles reactions for awaiting-author and maintainer-merge labels. Replaced with `pull_request_target` `labeled` and `unlabeled` triggers.
- `zulip_emoji_merge_delegate.yaml`: handles reactions for PRs merged into `master`. Replaced with `pull_request_target` `closed` and `reopened` triggers.
The Zulip reaction steps have also been removed from `maintainer_bors_wf_run.yml` which now just handles labels: that label event then triggers the reconciliation workflow rather than handling the reactions on its own.
This PR also adds and wires in a configuration file for `mathlib4-nightly-testing` so that reactions for `nightly#XXX` PRs are also managed.
Prepared with Claude code.
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- [ ] depends on: #xyz [optional extra text]
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[](https://gitpod.io/from-referrer/)
|
CI
LLM-generated
file-removed
maintainer-merge
|
159/348 |
.github/workflows/maintainer_bors_wf_run.yml,.github/workflows/zulip_emoji_ci_status.yaml,.github/workflows/zulip_emoji_closed_pr.yaml,.github/workflows/zulip_emoji_labelling.yaml,.github/workflows/zulip_emoji_merge_delegate.yaml,.github/workflows/zulip_emoji_reconcile.yml,.github/zulip-emoji-config-nightly.json,docs/workflows.md |
8 |
3 |
['github-actions', 'joneugster'] |
joneugster assignee:joneugster |
14-8122 14 days ago |
18-46319 18 days ago |
18-46102 18 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 |
14-5491 14 days ago |
14-6275 14 days ago |
14-14529 14 days |
| 40725 |
dennj author:dennj |
chore(SetTheory/Ordinal): execute deprecation TODOs |
This PR resolves several ordinal deprecation TODOs by making the `add_one` spelling primary over the older `succ`-spelled theorem names.
It deprecates the old names, rewires Mathlib uses to the new names, and renames `Cardinal.noMaxOrder` to the more precise `Cardinal.noMaxOrder_ord_toType`. The old deprecated names are no longer used internally.
Code clean up in Ordinal.Notation |
t-set-theory
tech debt
|
121/149 |
Mathlib/CategoryTheory/Presentable/Directed.lean,Mathlib/CategoryTheory/Presentable/OrthogonalReflection.lean,Mathlib/CategoryTheory/Presentable/SharplyLT/Basic.lean,Mathlib/CategoryTheory/SmallObject/IsCardinalForSmallObjectArgument.lean,Mathlib/FieldTheory/CardinalEmb.lean,Mathlib/SetTheory/Ordinal/Arithmetic.lean,Mathlib/SetTheory/Ordinal/Basic.lean,Mathlib/SetTheory/Ordinal/Exponential.lean,Mathlib/SetTheory/Ordinal/FixedPoint.lean,Mathlib/SetTheory/Ordinal/Notation.lean,Mathlib/SetTheory/Ordinal/Principal.lean,Mathlib/SetTheory/Ordinal/Univ.lean,Mathlib/SetTheory/Ordinal/Veblen.lean |
13 |
14 |
['dennj', 'github-actions', 'mathlib-merge-conflicts', 'plp127', 'vihdzp'] |
alreadydone assignee:alreadydone |
14-1680 14 days ago |
15-38362 15 days ago |
42-31483 42 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
|
3/2 |
Mathlib/RingTheory/Unramified/LocalRing.lean |
1 |
3 |
['felixpernegger', 'github-actions', 'leanprover-radar'] |
nobody |
13-82949 13 days ago |
13-83660 13 days ago |
13-83458 13 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 |
13-82300 13 days ago |
22-1749 22 days ago |
30-23658 30 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 |
13-80883 13 days ago |
27-34708 27 days ago |
43-4060 43 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 |
13-66005 13 days ago |
13-68980 13 days ago |
13-68763 13 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'] |
kex-y assignee:kex-y |
13-55883 13 days ago |
42-33408 42 days ago |
44-56888 44 days |
| 41183 |
joelriou author:joelriou |
feat(CategoryTheory/Presentable): new constructor for `IsCardinalFilteredGenerator` |
Instead of `w`-small index categories, one may provide essentially `w`-small categories instead.
---
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|
t-category-theory |
22/3 |
Mathlib/CategoryTheory/Presentable/CardinalFilteredPresentation.lean |
1 |
5 |
['github-actions', 'joelriou', 'smorel394'] |
robin-carlier assignee:robin-carlier |
13-55881 13 days ago |
39-25202 39 days ago |
39-24985 39 days |
| 42045 |
felixpernegger author:felixpernegger |
chore(NumberTheory): make an import private |
Proof of concept. The import is not redundant but can be made private.
---
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|
t-number-theory |
2/1 |
Mathlib/NumberTheory/FLT/Polynomial.lean |
1 |
4 |
['felixpernegger', 'github-actions', 'mathlib-bors'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
13-55876 13 days ago |
15-10903 15 days ago |
15-10695 15 days |
| 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 |
191/0 |
Mathlib.lean,Mathlib/Combinatorics/Quiver/Cyclic.lean |
2 |
2 |
['github-actions', 'or4nge19'] |
nobody |
13-54980 13 days ago |
34-60611 34 days ago |
73-19184 73 days |
| 40389 |
YaelDillies author:YaelDillies |
feat(MeasureTheory): the average of a sum of functions |
and other basic lemmas about `average`
From MeanFourier
---
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|
t-measure-probability
maintainer-merge
|
88/24 |
Mathlib/Analysis/Convex/Integral.lean,Mathlib/MeasureTheory/Integral/Average.lean |
2 |
7 |
['EtienneC30', 'YaelDillies', 'github-actions'] |
nobody |
13-54979 13 days ago |
59-32228 59 days ago |
59-49013 59 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'] |
YaelDillies assignee:YaelDillies |
13-29232 13 days ago |
13-43019 13 days ago |
37-26137 37 days |
| 42104 |
vlad902 author:vlad902 |
feat(FreeGroup): `toWord` of multiplication by generators |
Add lemmas unfolding how left-/right- multiplication by a generator behaves on the `toWord` representation of a FreeGroup element, and derive two lemmas about the position of an element inside a multiplicatied word that I require later.
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|
t-group-theory |
62/0 |
Mathlib/Data/List/Basic.lean,Mathlib/GroupTheory/FreeGroup/Reduce.lean |
2 |
2 |
['github-actions', 'vlad902'] |
nobody |
13-24756 13 days ago |
13-27594 13 days ago |
13-27377 13 days |
| 42106 |
vlad902 author:vlad902 |
feat(FreeGroup): `zpow` lemmas |
We already have some lemmas for working with `Nat`-valued powers of FreeGroup elements, add some matching lemmas for working with `Int`-valued powers.
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|
t-group-theory |
31/0 |
Mathlib/Algebra/Group/Basic.lean,Mathlib/GroupTheory/FreeGroup/Reduce.lean |
2 |
1 |
['github-actions'] |
nobody |
13-23685 13 days ago |
13-27025 13 days ago |
13-26808 13 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 |
48/66 |
Mathlib/RingTheory/Localization/AtPrime/Basic.lean,Mathlib/RingTheory/Localization/AtPrime/Extension.lean,Mathlib/RingTheory/Trace/Quotient.lean |
3 |
4 |
['github-actions', 'mathlib-merge-conflicts', 'wwylele', 'xgenereux'] |
nobody |
13-21341 13 days ago |
13-24696 13 days ago |
61-49492 61 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'] |
nobody |
13-19490 13 days ago |
13-20885 13 days ago |
55-67743 55 days |
| 42085 |
felixpernegger author:felixpernegger |
chore: remove redundant `backward.inferInstanceAs.wrap.data` exception |
"Redundant" in the sense that `lake build` succeeds without it, so ought to be removable; especially since the exceptions are counted as strong tech debt.
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t-algebra
tech debt
label:t-algebra$ |
0/1 |
Mathlib/Algebra/Category/MonCat/Limits.lean |
1 |
3 |
['felixpernegger', 'github-actions', 'leanprover-radar'] |
nobody |
13-6808 13 days ago |
14-6115 14 days ago |
14-5898 14 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 |
12-58429 12 days ago |
12-75792 12 days ago |
12-75575 12 days |
| 37865 |
Jun2M author:Jun2M |
feat(Combinatorics/Graph): Edge cut of `Graph` |
This PR introduces
- `edgeCut`: A function on set of vertices that returns the set of edges with exactly one end in the set.
- `IsEdgeCut`: A predicate for set of edges that promises it is `edgeCut` of some set.
- `IsBridge`: An edge `e` is a bridge iff it is a singleton edge cut.
- `IsBond`: An edge Set `B` is bond iff it is minimal nonempty edge cut.
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|
t-combinatorics |
209/0 |
Mathlib/Combinatorics/Graph/Connected/EdgeCut.Lean,Mathlib/Combinatorics/Graph/Subgraph.lean,docs/references.bib |
3 |
12 |
['Jun2M', 'b-mehta', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
12-56494 12 days ago |
49-63438 49 days ago |
106-61677 106 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'] |
mattrobball assignee:mattrobball |
12-55883 12 days ago |
36-22137 36 days ago |
83-71154 83 days |
| 41192 |
RemyDegenne author:RemyDegenne |
feat: `withDensity` of compositions of kernels and measures |
Co-authored-by: Paulo Rauber <pauloeduardorauber@gmail.com>
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|
LeanMachineLearning
t-measure-probability
|
128/18 |
Mathlib.lean,Mathlib/Probability/Kernel/CompProdEqIff.lean,Mathlib/Probability/Kernel/Composition/WithDensity.lean |
3 |
1 |
['github-actions'] |
kex-y assignee:kex-y |
12-55880 12 days ago |
39-15112 39 days ago |
39-14895 39 days |
| 42118 |
edwardfalk author:edwardfalk |
feat(NumberTheory/ModularForms/JacobiTheta): the derivative of jacobiTheta₂ in τ |
Adds `hasDerivAt_jacobiTheta₂_snd`, the companion to the existing `hasDerivAt_jacobiTheta₂_fst`: for `0 < im τ`,
```lean
HasDerivAt (jacobiTheta₂ z) (∑' n : ℤ, π * I * n ^ 2 * jacobiTheta₂_term n z τ) τ
```
The file already provides `differentiableAt_jacobiTheta₂_fst` / `differentiableAt_jacobiTheta₂_snd` and `hasDerivAt_jacobiTheta₂_fst`, so the `τ`-derivative in `HasDerivAt` form was the one missing corner of that square. The proof mirrors `hasDerivAt_jacobiTheta₂_fst`, evaluating the Fréchet derivative in the direction `(0, 1)` rather than `(1, 0)`.
Unlike the `z`-derivative there is no named function for the `τ`-derivative (`jacobiTheta₂'` has no `τ` analogue), so the statement uses an explicit `tsum`. Happy to introduce a definition instead if reviewers prefer.
No new imports, no changes to existing declarations.
I needed this to differentiate the theta functional equation at its fixed point `τ = i`; it seemed generally useful enough to upstream on its own.
|
t-number-theory
new-contributor
|
23/0 |
Mathlib/NumberTheory/ModularForms/JacobiTheta/TwoVariable.lean |
1 |
2 |
['copilot-pull-request-reviewer', 'github-actions'] |
loefflerd assignee:loefflerd |
12-55879 12 days ago |
12-73402 12 days ago |
12-73185 12 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 |
10/0 |
Mathlib/Data/List/Rotate.lean |
1 |
5 |
['SnirBroshi', 'eric-wieser', 'github-actions', 'plp127'] |
eric-wieser assignee:eric-wieser |
12-53414 12 days ago |
12-56049 12 days ago |
98-72998 98 days |
| 40687 |
michaellee94 author:michaellee94 |
feat(Analysis/ODE): uniqueness of integral curves on intervals and intersections |
Adds some uniqueness lemmas for integral curves of a Lipschitz vector field, proved via Grönwall's inequality. Split out from #26413 (existence of maximal solutions). |
t-analysis
new-contributor
|
91/0 |
Mathlib/Analysis/ODE/ExistUnique.lean |
1 |
4 |
['github-actions', 'michaellee94', 'sgouezel'] |
sgouezel assignee:sgouezel |
12-51214 12 days ago |
14-17553 14 days ago |
40-76935 40 days |
| 41301 |
joelriou author:joelriou |
feat(CategoryTheory): (co)kernels in functor categories/homological complexes |
---
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|
t-category-theory
tech debt
|
95/8 |
Mathlib.lean,Mathlib/Algebra/Homology/HomologicalComplex.lean,Mathlib/Algebra/Homology/HomologicalComplexKernels.lean,Mathlib/CategoryTheory/Limits/FunctorCategory/Shapes/Kernels.lean,Mathlib/CategoryTheory/Limits/Preserves/Shapes/Kernels.lean,Mathlib/CategoryTheory/Limits/Shapes/Kernels.lean |
6 |
1 |
['github-actions'] |
nobody |
12-44186 12 days ago |
37-5196 37 days ago |
37-4979 37 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 |
12-36533 12 days ago |
12-37385 12 days ago |
12-37168 12 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 |
12-31369 12 days ago |
14-31422 14 days ago |
14-31205 14 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'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
12-27589 12 days ago |
12-27589 12 days ago |
12-72805 12 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 |
12-13727 12 days ago |
12-16855 12 days ago |
12-16638 12 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 |
12-7932 12 days ago |
12-8814 12 days ago |
12-8597 12 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
|
175/0 |
Mathlib.lean,Mathlib/Analysis/ODE/Peano.lean |
2 |
2 |
['github-actions'] |
nobody |
12-6675 12 days ago |
12-6675 12 days ago |
12-6458 12 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'] |
riccardobrasca assignee:riccardobrasca |
11-84665 11 days ago |
11-86172 11 days ago |
23-74120 23 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 |
4 |
['github-actions', 'leanprover-radar', 'plp127'] |
nobody |
11-74024 11 days ago |
11-82289 11 days ago |
11-82072 11 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 |
10 |
['felixpernegger', 'github-actions', 'jdhart81'] |
nobody |
11-68198 11 days ago |
11-73056 11 days ago |
11-72914 11 days |
| 42160 |
b-mehta author:b-mehta |
feat(AlgebraicGeometry/EllipticCurve): roots of the 2-torsion polynomial |
This property was mentioned in the docstring of twoTorsionPolynomial but not proved.
---
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|
t-algebraic-geometry |
25/0 |
Mathlib/AlgebraicGeometry/EllipticCurve/Affine/Point.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Weierstrass.lean |
2 |
1 |
['github-actions'] |
nobody |
11-60834 11 days ago |
11-61431 11 days ago |
11-61214 11 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 |
11-58626 11 days ago |
11-58626 11 days ago |
11-58409 11 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'] |
mattrobball assignee:mattrobball |
11-55883 11 days ago |
68-73673 68 days ago |
68-73498 68 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 label:t-algebra$ |
335/70 |
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 |
4 |
['eric-wieser', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
11-55077 11 days ago |
11-57557 11 days ago |
46-7105 46 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'] |
nobody |
11-54974 11 days ago |
32-71563 32 days ago |
67-66263 67 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$ |
106/15 |
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 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
11-54793 11 days ago |
11-57800 11 days ago |
30-41539 30 days |
| 31595 |
astrainfinita author:astrainfinita |
chore: redefine `Ideal.IsPrime` |
Redefine `Ideal.IsPrime` to make it correct for non-commutative cases
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|
t-algebra label:t-algebra$ |
383/111 |
Mathlib/Algebra/Order/Ring/Ordering/Defs.lean,Mathlib/RingTheory/DedekindDomain/Ideal/Lemmas.lean,Mathlib/RingTheory/GradedAlgebra/Homogeneous/Maps.lean,Mathlib/RingTheory/GradedAlgebra/Radical.lean,Mathlib/RingTheory/Ideal/AssociatedPrime/Basic.lean,Mathlib/RingTheory/Ideal/Maps.lean,Mathlib/RingTheory/Ideal/Maximal.lean,Mathlib/RingTheory/Ideal/MinimalPrime/Noetherian.lean,Mathlib/RingTheory/Ideal/Oka.lean,Mathlib/RingTheory/Ideal/Operations.lean,Mathlib/RingTheory/Ideal/Over.lean,Mathlib/RingTheory/Ideal/Pointwise.lean,Mathlib/RingTheory/Ideal/Prime.lean,Mathlib/RingTheory/Ideal/Prod.lean,Mathlib/RingTheory/Ideal/Quotient/Basic.lean,Mathlib/RingTheory/Ideal/Quotient/Operations.lean,Mathlib/RingTheory/IsPrimary.lean,Mathlib/RingTheory/Localization/AtPrime/Basic.lean,Mathlib/RingTheory/Localization/Ideal.lean,Mathlib/RingTheory/Polynomial/Basic.lean,Mathlib/RingTheory/PrincipalIdealDomain.lean,Mathlib/RingTheory/Spectrum/Prime/Topology.lean,Mathlib/RingTheory/Valuation/Basic.lean,Mathlib/RingTheory/Valuation/ValuativeRel/Basic.lean |
24 |
34 |
['alreadydone', 'artie2000', 'astrainfinita', 'erdOne', 'github-actions', 'leanprover-bot', 'leanprover-radar', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
kim-em assignee:kim-em |
11-54229 11 days ago |
11-64507 11 days ago |
71-46431 71 days |
| 40764 |
seewoo5 author:seewoo5 |
feat(ModularForm): ramanujan-serre derivative maps modular form |
---
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...to modular form. Originated from sphere packing project (see [here](https://github.com/thefundamentaltheor3m/Sphere-Packing-Lean/blob/main/SpherePacking/ModularForms/Derivative.lean)). It works for any level that is a subgroup of SL2Z.
Claude is used to migrate and cleanup proofs.
- [x] depends on: #36963
- [x] depends on: #40765
[](https://gitpod.io/from-referrer/)
|
t-number-theory
LLM-generated
sphere-packing
|
70/2 |
Mathlib/NumberTheory/ModularForms/Derivative.lean |
1 |
9 |
['CBirkbeck', 'MichaelStollBayreuth', 'github-actions', 'loefflerd', 'mathlib-dependent-issues', 'seewoo5'] |
nobody |
11-53443 11 days ago |
33-44129 33 days ago |
33-43912 33 days |
| 42136 |
mitchell-horner author:mitchell-horner |
feat(Combinatorics/SimpleGraph): API for `labelledCopyCount` |
Add API for `SimpleGraph.labelledCopyCount`.
---
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
63/1 |
Mathlib/Combinatorics/SimpleGraph/Copy.lean |
1 |
1 |
['github-actions'] |
nobody |
11-50415 11 days ago |
12-13948 12 days ago |
12-13731 12 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 |
11-46433 11 days ago |
11-82915 11 days ago |
11-82721 11 days |
| 42166 |
NoahW314 author:NoahW314 |
chore(Algebra): remove references to `NoZeroSMulDivisors` |
Follow-up to #30563 and #33873. Removes references to `NoZeroSMulDivisors` in places where it no longer appears, and renames some lemmas which now use `IsTorsionFree` instead of `NoZeroSMulDivisors`.
---
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t-ring-theory |
16/8 |
Mathlib/Algebra/Module/Torsion/Basic.lean,Mathlib/Algebra/Polynomial/Roots.lean,Mathlib/RingTheory/AdjoinRoot.lean,Mathlib/RingTheory/IsAdjoinRoot.lean,Mathlib/RingTheory/Support.lean |
5 |
1 |
['github-actions'] |
nobody |
11-43176 11 days ago |
11-44632 11 days ago |
11-44415 11 days |
| 41184 |
joelriou author:joelriou |
feat(CategoryTheory/Presentable): more basic API for κ-filtered categories |
---
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|
t-category-theory |
23/0 |
Mathlib/CategoryTheory/Presentable/IsCardinalFiltered.lean |
1 |
5 |
['github-actions', 'joelriou', 'smorel394'] |
robin-carlier assignee:robin-carlier |
11-41192 11 days ago |
39-25075 39 days ago |
39-24858 39 days |
| 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 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
11-39091 11 days ago |
11-41199 11 days ago |
17-13845 17 days |
| 42168 |
astrainfinita author:astrainfinita |
chore(Algebra/Order/GroupWithZero): deprecate unnecessary lemmas |
This PR deprecates three lemmas with exactly the same statements as lemmas deprecated in #22353:
* `mul_lt_one_of_nonneg_of_lt_one_left`
* `mul_lt_one_of_nonneg_of_lt_one_right`
* `mul_le_one₀`
In addition, `mul_le_one₀` only covers the case where the right factor is nonnegative, while there is no corresponding lemma for the case where the left factor is nonnegative. This PR also adds `Bound.mul_le_one` to handle both cases.
---
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t-algebra
t-order
label:t-algebra$ |
46/32 |
Counterexamples/NowhereDifferentiable.lean,Mathlib/Algebra/Order/GroupWithZero/Basic.lean,Mathlib/Algebra/Order/Interval/Set/Instances.lean,Mathlib/Algebra/Order/Ring/GeomSum.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/Basic.lean,Mathlib/Analysis/Complex/Trigonometric.lean,Mathlib/Analysis/Convex/Between.lean,Mathlib/Analysis/Convex/Gauge.lean,Mathlib/Analysis/LocallyConvex/BalancedCoreHull.lean,Mathlib/Analysis/Normed/Field/UnitBall.lean,Mathlib/Analysis/Real/Pi/Irrational.lean,Mathlib/Combinatorics/SimpleGraph/Density.lean,Mathlib/NumberTheory/Padics/Hensel.lean,Mathlib/NumberTheory/Padics/PadicIntegers.lean,Mathlib/Topology/UnitInterval.lean |
15 |
1 |
['github-actions'] |
nobody |
11-31587 11 days ago |
11-33974 11 days ago |
11-36294 11 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 |
11-31422 11 days ago |
22-77700 22 days ago |
22-78525 22 days |
| 40651 |
Scarlett-le author:Scarlett-le |
feat: signed power of a point and dimension-free power-of-a-point converses |
This PR reworks the converse direction of the power of a point in `Mathlib/Geometry/Euclidean/Sphere/Power.lean` to be dimension-free, and adds the converse of the intersecting secants theorem.
Main additions:
* `Sphere.inner_vsub_vsub_eq_power`: the signed power `⟪a -ᵥ p, b -ᵥ p⟫` of a point
`p` on a secant line through `a, b ∈ s` is exactly `s.power p`; this unifies the
chord and secant cases without splitting on the sign.
* `Sphere.mem_of_inner_vsub_vsub_eq_power_of_mem_line`: a one-secant converse.
* `cospherical_of_inner_vsub_eq_inner_vsub`: a dimension-free converse to the power
of a point, stated with the signed invariant.
* `cospherical_of_mul_dist_eq_mul_dist_of_angle_eq_zero`: the converse of the
intersecting secants theorem (new).
Main change:
* `cospherical_of_mul_dist_eq_mul_dist_of_angle_eq_pi` (converse of the intersecting
chords theorem) is reproved via `cospherical_of_inner_vsub_eq_inner_vsub`, going
through the circumsphere of the triangle `{p₁, p₂, p₃}`. It no longer reduces to
the 2D case, so the `[Fact (finrank ℝ V = 2)]` / `[Module.Oriented ℝ V (Fin 2)]`
machinery, the private auxiliary lemma, and the `AffineIsometry` embedding into the
affine span are all removed. The statement is unchanged.
Imports `Mathlib.Geometry.Euclidean.Angle.Sphere` and
`Mathlib.Geometry.Euclidean.Similarity` are dropped; `Mathlib.Geometry.Euclidean.Circumcenter`
is added. |
t-euclidean-geometry
tech debt
|
139/92 |
Mathlib/Geometry/Euclidean/Angle/Unoriented/Affine.lean,Mathlib/Geometry/Euclidean/Sphere/Power.lean |
2 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
11-27217 11 days ago |
11-27787 11 days ago |
11-27591 11 days |
| 42131 |
joelriou author:joelriou |
feat(Geometry/Convex): a topology on StdSimplex |
In this PR, we define a topology on the standard simplex `StdSimplex R M`. When `M` is finite, this is the topology that is induced by the embedding `StdSimplex R M → (M → R)`. In general, we use the supremum of the coinduced topologies for the maps `StdSimplex.map f : StdSimplex R ι → StdSimplex R M` where `f : ι → M` is a map from a finite set `ι`.
---
This is different from the topology proposed in #40176.
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|
t-convex-geometry |
272/1 |
Mathlib.lean,Mathlib/Algebra/BigOperators/Finsupp/Basic.lean,Mathlib/Algebra/BigOperators/Group/Finset/Basic.lean,Mathlib/Data/Finsupp/Basic.lean,Mathlib/Geometry/Convex/ConvexSpace/Defs.lean,Mathlib/Geometry/Convex/ConvexSpace/Topology.lean,Mathlib/LinearAlgebra/Vandermonde.lean |
7 |
1 |
['github-actions'] |
nobody |
11-20166 11 days ago |
11-35235 11 days ago |
12-889 12 days |
| 42081 |
xroblot author:xroblot |
chore(RingTheory/Ideal/Quotient): split HasFiniteQuotients into Basic and Norm |
Split `HasFiniteQuotients.lean` into `Basic.lean` and `Norm.lean`. The file `Basic.lean` does not depend on `Ideal.absNorm`, thus `AbsNorm` can import the class (needed for the upcoming generalization of `Ideal.absNorm`, see #42048).
---
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|
213/176 |
Mathlib.lean,Mathlib/NumberTheory/NumberField/Cyclotomic/Galois.lean,Mathlib/NumberTheory/NumberField/ExistsRamified.lean,Mathlib/NumberTheory/RamificationInertia/HilbertTheory.lean,Mathlib/NumberTheory/RamificationInertia/Unramified.lean,Mathlib/RingTheory/Ideal/Quotient/HasFiniteQuotients.lean,Mathlib/RingTheory/Ideal/Quotient/HasFiniteQuotients/Basic.lean,Mathlib/RingTheory/Ideal/Quotient/HasFiniteQuotients/Norm.lean |
8 |
1 |
['github-actions'] |
nobody |
11-19350 11 days ago |
14-28384 14 days ago |
14-28167 14 days |
| 41718 |
riccardobrasca author:riccardobrasca |
feat: add Bernoulli.dvd_den_bernoulli and related lemmas |
Let `p` be a prime and `k` a positive even integer divisible by `p-1`. We add various results about the divisibility by `p` of the numerator and denominator of the `k`-th Bernoulli number.
These results are important to build the `p`-adic zeta function.
---
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|
t-number-theory |
91/16 |
Mathlib/Algebra/GroupWithZero/WithZero.lean,Mathlib/Algebra/Order/GroupWithZero/Canonical.lean,Mathlib/NumberTheory/Bernoulli.lean,Mathlib/NumberTheory/NumberField/Completion/FinitePlace.lean,Mathlib/NumberTheory/Padics/PadicNumbers.lean,Mathlib/NumberTheory/Padics/ValuativeRel.lean,Mathlib/NumberTheory/RatFunc/Ostrowski.lean,Mathlib/RingTheory/MvPowerSeries/Inverse.lean,Mathlib/RingTheory/PowerSeries/Inverse.lean,Mathlib/RingTheory/Valuation/Discrete/Basic.lean,Mathlib/RingTheory/Valuation/Discrete/IsDiscreteValuationRing.lean,Mathlib/RingTheory/Valuation/DiscreteValuativeRel.lean |
12 |
9 |
['github-actions', 'loefflerd', 'riccardobrasca'] |
loefflerd assignee:loefflerd |
11-12771 11 days ago |
11-15286 11 days ago |
18-20439 18 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 |
11-11256 11 days ago |
11-13428 11 days ago |
11-13211 11 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 |
11-5755 11 days ago |
60-513 60 days ago |
60-296 60 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 |
11-5657 11 days ago |
14-43694 14 days ago |
14-43477 14 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 |
10-77428 10 days ago |
10-78726 10 days ago |
10-78778 10 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 |
202/86 |
Cache/Main.lean,Cache/Query.lean,Cache/Requests.lean,Cache/Test.lean,Cache/Warning.lean |
5 |
1 |
['github-actions'] |
nobody |
10-77242 10 days ago |
10-77843 10 days ago |
10-77626 10 days |
| 42171 |
YaelDillies author:YaelDillies |
chore: don't inductively define sets |
Instead define them as `Set.ofPred` of inductively-defined predicates. This avoids abusing the defeq `Set α := α → Prop`. In cases where the set was barely used, I have inlined the definition instead.
Generated by Claude Opus, then reviewed and cherry-picked line-by-line by myself.
Assisted-by: Claude Opus 4.8
---
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t-data
LLM-generated
|
98/66 |
Mathlib/Combinatorics/Hindman.lean,Mathlib/Computability/EpsilonNFA.lean,Mathlib/Data/Set/Constructions.lean,Mathlib/LinearAlgebra/Projectivization/Subspace.lean,Mathlib/MeasureTheory/PiSystem.lean,Mathlib/MeasureTheory/SetAlgebra.lean,Mathlib/Topology/Category/Compactum.lean |
7 |
5 |
['YaelDillies', 'felixpernegger', 'github-actions', 'grunweg'] |
nobody |
10-68884 10 days ago |
11-31683 11 days ago |
11-31466 11 days |
| 42204 |
grunweg author:grunweg |
chore(Geometry/Manifold/IsManifold/InteriorBoundary): golf a proof |
Noticed in passing when self-reviewing #42034.
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|
t-differential-geometry
easy
|
1/4 |
Mathlib/Geometry/Manifold/IsManifold/InteriorBoundary.lean |
1 |
1 |
['github-actions'] |
nobody |
10-66646 10 days ago |
10-67642 10 days ago |
10-67425 10 days |
| 40905 |
xroblot author:xroblot |
feat(FieldTheory): the compositum of two abelian extensions is abelian |
This adds:
* `AlgEquiv.ker_restrictNormalHom`: the kernel of the restriction homomorphism
`Gal(K₁/F) →* Gal(E/F)` is the fixing subgroup of the image of `E` in `K₁`.
* `IntermediateField.restrictNormalHomSupProd`: the embedding
`Gal(↑(K ⊔ L)/F) →* Gal(K/F) × Gal(L/F)`, `σ ↦ (σ|_K, σ|_L)`, for normal `K`, `L`.
* `IsAbelianGalois.sup`: the compositum of two abelian extensions is abelian.
:robot: This PR was extracted from the [SKW project](https://github.com/xroblot/SKW) by Claude. |
t-algebra label:t-algebra$ |
63/0 |
Mathlib/FieldTheory/Galois/Abelian.lean,Mathlib/FieldTheory/Galois/Basic.lean |
2 |
5 |
['github-actions', 'tb65536', 'xroblot'] |
nobody |
10-60531 10 days ago |
44-31492 44 days ago |
44-31301 44 days |
| 42152 |
plp127 author:plp127 |
feat(FieldTheory): typeclass for field extension with finite transcendence degree |
Make a new typeclass for field extensions with finite transcendence degree. See [Zulip](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/typeclass.20for.20finite.20transcendence.20basis/near/612845827).
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|
t-ring-theory |
105/1 |
Mathlib.lean,Mathlib/FieldTheory/FinTrdeg.lean,Mathlib/FieldTheory/IntermediateField/Adjoin/Basic.lean,Mathlib/RingTheory/AlgebraicIndependent/TranscendenceBasis.lean |
4 |
5 |
['github-actions', 'plp127', 'vihdzp'] |
nobody |
10-60171 10 days ago |
12-416 12 days ago |
12-199 12 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 |
10-56376 10 days ago |
10-57008 10 days ago |
26-17281 26 days |
| 31768 |
Thmoas-Guan author:Thmoas-Guan |
feat(Homology): `Ext` under restrict scalars by `RingEquiv` |
In this PR, we proved that `Ext` commute with ulift functor in `ModuleCat`.
Further more, we provided compatibility with (semi-)linear equiv of general universe.
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|
t-algebra
t-category-theory
label:t-algebra$ |
97/0 |
Mathlib.lean,Mathlib/Algebra/Category/ModuleCat/ChangeOfRings.lean,Mathlib/Algebra/Category/ModuleCat/Ext/RingEquiv.lean |
3 |
31 |
['Thmoas-Guan', 'dagurtomas', 'github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
joelriou assignee:joelriou |
10-55883 10 days ago |
58-44674 58 days ago |
80-2009 80 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$ |
61/4 |
Mathlib/Algebra/Category/ModuleCat/Sheaf/Generators.lean,Mathlib/Algebra/Category/ModuleCat/Sheaf/LocallyFree.lean,Mathlib/Algebra/Category/ModuleCat/Sheaf/Quasicoherent.lean |
3 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
ocfnash assignee:ocfnash |
10-55882 10 days ago |
61-76423 61 days ago |
61-82764 61 days |
| 40328 |
xroblot author:xroblot |
feat(FieldTheory/IntermediateField): add PowerBasis.ofAdjoinSimpleEqTop |
Adds `PowerBasis.ofAdjoinSimpleEqTop`, the `IntermediateField.adjoin` analogue of the
existing `PowerBasis.ofAdjoinEqTop` (which uses `Algebra.adjoin`): if `α` generates `L`
over `K` (i.e. `K⟮α⟯ = ⊤`) and is integral over `K`, then `α` defines a `PowerBasis`
for `L` over `K`.
The declaration is placed in `Mathlib.FieldTheory.IntermediateField.Adjoin.Basic`
(alongside `adjoin.powerBasis` and `adjoin.finrank`) rather than `Adjoin.Algebra`,
since its proof uses `adjoin.powerBasis` and `PowerBasis.map`.
:robot: This PR was extracted from the [SKW project](https://github.com/xroblot/SKW) by Claude. |
t-algebra label:t-algebra$ |
18/0 |
Mathlib/FieldTheory/IntermediateField/Adjoin/Basic.lean |
1 |
1 |
['github-actions'] |
ocfnash assignee:ocfnash |
10-55881 10 days ago |
62-3973 62 days ago |
62-3998 62 days |
| 40665 |
Yu-Misaka author:Yu-Misaka |
feat(RepresentationTheory): the character values of a finite group are algebraic integers |
Zulip link: [#Is there code for X? > Integrality of character](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Integrality.20of.20character/with/603655189)
The proof comes from Seed Prover (lean-eval) and was golfed by me.
Co-authored-by: @GanjinZero
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t-algebra
LLM-generated
label:t-algebra$ |
16/3 |
Mathlib/RepresentationTheory/Character.lean |
1 |
14 |
['Yu-Misaka', 'bwangpj', 'copilot-pull-request-reviewer', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'tb65536', 'yuanyi-350'] |
ocfnash assignee:ocfnash |
10-55878 10 days ago |
36-50901 36 days ago |
52-70678 52 days |
| 40700 |
YaelDillies author:YaelDillies |
feat(FieldTheory): generalise `Separable.of_algHom` |
From BrauerGroup
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|
t-algebra label:t-algebra$ |
12/19 |
Mathlib/FieldTheory/Separable.lean |
1 |
3 |
['Multramate', 'YaelDillies', 'github-actions', 'mathlib-merge-conflicts'] |
ocfnash assignee:ocfnash |
10-55877 10 days ago |
24-33161 24 days ago |
52-2159 52 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 |
10-43214 10 days ago |
11-7285 11 days ago |
11-7068 11 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 |
10-33865 10 days ago |
30-45734 30 days ago |
30-45517 30 days |
| 41123 |
Scarlett-le author:Scarlett-le |
feat(Geometry/Euclidean/Angle): the unoriented angle at the center in terms of the angle at the circumference |
Adds the unoriented counterpart of `Sphere.oangle_center_eq_two_zsmul_oangle` ("the angle at the
center of a circle is twice the angle at the circumference") to
`Mathlib/Geometry/Euclidean/Angle/Sphere.lean`. Since the unoriented angle at the center lies in
`[0, π]` while twice the angle at the circumference ranges over `[0, 2π]`, two lemmas are needed,
splitting at a right angle at the circumference:
- `Sphere.angle_center_eq_two_mul_angle_of_two_mul_angle_le_pi`: when twice the angle at the
circumference is at most `π`, the angle at the center equals twice it;
- `Sphere.angle_center_eq_two_pi_sub_two_mul_angle_of_pi_le_two_mul_angle`: when it is at least `π`,
the angle at the center equals `2 * π` minus twice it.
## Dependencies
- [x] depends on: #41143 |
t-euclidean-geometry |
87/3 |
Mathlib/Geometry/Euclidean/Angle/Oriented/Affine.lean,Mathlib/Geometry/Euclidean/Angle/Oriented/Basic.lean,Mathlib/Geometry/Euclidean/Angle/Sphere.lean |
3 |
13 |
['Scarlett-le', 'felixpernegger', 'github-actions', 'jsm28', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
jsm28 assignee:jsm28 |
10-30934 10 days ago |
10-30934 10 days ago |
30-26388 30 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
|
146/0 |
Mathlib.lean,Mathlib/Analysis/Complex/ValueDistribution/SecondMainTheorem.lean,Mathlib/Data/Finset/Card.lean |
3 |
14 |
['github-actions', 'j-loreaux', 'kebekus'] |
nobody |
10-30081 10 days ago |
10-30118 10 days ago |
16-12807 16 days |
| 42226 |
espottesmith author:espottesmith |
feat(Combinatorics/Hypergraph): add restriction `x ≠ y` to hypergraph vertex and edge adjacency |
---
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This introduces a small change to the definitions of adjacency and edge-adjacency for undirected hypergraphs, based on a conversation with @Jun2M and @b-mehta in [#28613](https://github.com/leanprover-community/mathlib4/pull/28613).
Previously, any two vertices (edges) `x` and `y` could be adjacent, provided that there was an edge in the edge set containing both of them (there was a vertex contained in both of them). Now, we add the restriction that `x` is not equal to `y`.
This should allow `SimpleGraph` to be a clean specialization of `Hypergraph` and to ease the eventual implementation of walks.
This PR has no dependencies, but see also [42164](https://github.com/leanprover-community/mathlib4/pull/42162), @Jun2M's implementation of `HyperGraphLike` and formalization that `Hypergraph`s are `HyperGraphLike`, which includes this restriction on `Adj`.
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
4/4 |
Mathlib/Combinatorics/Hypergraph/Basic.lean |
1 |
3 |
['github-actions'] |
nobody |
10-28126 10 days ago |
10-28692 10 days ago |
10-28475 10 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 |
9 |
['eric-wieser', 'github-actions', 'tb65536', 'vihdzp'] |
nobody |
10-23250 10 days ago |
10-66539 10 days ago |
10-66324 10 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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|
t-analysis |
6/2 |
Mathlib/Analysis/SpecialFunctions/OrdinaryHypergeometric.lean |
1 |
1 |
['github-actions'] |
nobody |
10-17562 10 days ago |
10-18143 10 days ago |
10-17926 10 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 and joelriou assignee:Multramate assignee:joelriou |
10-17476 10 days ago |
30-31063 30 days ago |
31-22848 31 days |
| 42239 |
plp127 author:plp127 |
feat(Algebra/MonoidAlgebra): add instances for `Infinite` and `Countable` and `Small` |
Add instance for `Infinite R[M]` when `Infinite R` and `Nonempty M` and when `Nontrivial R` and `Infinite M`. Also add instance for `Countable R[M]` when `Countable R` and `Countable M`. Also add instance for `Small.{w} R[M]` when `Small.{w} R` and `Small.{w} M`.
---
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|
t-algebra label:t-algebra$ |
36/0 |
Mathlib/Algebra/MonoidAlgebra/Cardinal.lean |
1 |
1 |
['github-actions'] |
nobody |
10-6038 10 days ago |
10-7373 10 days ago |
10-7156 10 days |
| 42205 |
grunweg author:grunweg |
chore(Geometry/Manifold): avoid some underscore soup |
---
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t-differential-geometry
maintainer-merge
|
13/9 |
Mathlib/Geometry/Manifold/ContMDiff/Basic.lean,Mathlib/Geometry/Manifold/HasGroupoid.lean,Mathlib/Geometry/Manifold/IsManifold/Basic.lean |
3 |
16 |
['JovanGerb', 'felixpernegger', 'github-actions', 'grunweg'] |
nobody |
10-1814 10 days ago |
10-67632 10 days ago |
10-67415 10 days |
| 36275 |
smmercuri author:smmercuri |
feat: norm for the finite adele ring of a number field |
---
- [x] depends on: #35820
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|
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 |
9-83030 9 days ago |
16-10548 16 days ago |
72-28917 72 days |
| 40961 |
JovanGerb author:JovanGerb |
chore: remove imports added by `shake` |
This PR removes some imports that were added by `shake` in the past.
For some of these it's not clear to me why `shake` added them. In particular, I noticed some occurrences of `public import Mathlib.Tactic.NormNum.Pow`/`Inv`, where `norm_num` is not used in the file at all, which I found suspicious.
For `CompileInductive`, it is expected that `shake` keeps the import, because of `shake: keep-downstream`, so these imports need to be minimzed manually, which this PR does.
For good measure, I also fixed an issue in `Mathlib.Tactic.NormNum.Pow` that some non-meta things were marked as `meta`.
---
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|
21/38 |
Mathlib/Algebra/ContinuedFractions/ConvergentsEquiv.lean,Mathlib/Algebra/Free.lean,Mathlib/Algebra/FreeMonoid/Basic.lean,Mathlib/Algebra/GroupWithZero/WithZero.lean,Mathlib/Algebra/Module/Submodule/Union.lean,Mathlib/Algebra/Opposites.lean,Mathlib/Algebra/Order/GroupWithZero/Basic.lean,Mathlib/Combinatorics/Enumerative/Stirling.lean,Mathlib/Combinatorics/Quiver/Path.lean,Mathlib/Combinatorics/SetFamily/AhlswedeZhang.lean,Mathlib/Data/FunLike/Basic.lean,Mathlib/Data/List/Basic.lean,Mathlib/Data/List/ChainOfFn.lean,Mathlib/Data/List/Defs.lean,Mathlib/Data/List/Induction.lean,Mathlib/Data/List/InsertIdx.lean,Mathlib/Data/Multiset/Defs.lean,Mathlib/Data/Nat/Hyperoperation.lean,Mathlib/Data/Num/Prime.lean,Mathlib/Data/Option/Basic.lean,Mathlib/Data/Ordmap/Ordnode.lean,Mathlib/Data/Seq/Computation.lean,Mathlib/Data/WSeq/Basic.lean,Mathlib/Logic/Equiv/Prod.lean,Mathlib/RingTheory/Ideal/Lattice.lean,Mathlib/SetTheory/Lists.lean,Mathlib/Tactic/NormNum/Pow.lean |
27 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
9-82865 9 days ago |
10-3822 10 days ago |
39-22260 39 days |
| 40204 |
Jun2M author:Jun2M |
feat(Combinatorics): incidence-based `HypergraphLike` class |
This PR introduces incidence-based typeclasses for developing common graph theory across
`SimpleGraph`, `Graph`, `Digraph`, and more general hypergraph-like structures.
The central class, `HyperGraphLike V I E Gr`, treats incidence identifiers as primitive data.
For `G : Gr`, each incidence identifies an edge and an endpoint, and may be marked as a source or
target incidence. Links, adjacency, darts, and walks are then derived from this incidence structure.
This is an alternative to #36743, where darts and their endpoints are primitive. Keeping incidences
explicit distinguishes different incidences of the same edge at the same vertex—for example, the two incidences of a loop—and extends naturally to hypergraphs.
See discussion at ([#graph theory > HasAdj](https://leanprover.zulipchat.com/#narrow/channel/252551-graph-theory/topic/HasAdj/with/575843445)) for more information.
### Main definitions
* `HyperGraphLike`: supplies the vertex, incidence, and edge sets together with incidence, source,
target, link, and adjacency relations.
* `GraphLike`: requires every edge to have exactly two incidences, including a source and a target.
* `Undirected` and `Directed`: distinguish whether incidences may be traversed in both directions.
* `NoParallelEdge` and `Loopless`: express the usual restrictions on graph-like structures.
* `IsTraversal` and `Dart`: represent the traversal of an edge through an ordered pair of distinct
incidences.
The walk API includes constructions from darts, vertices, and edges, together with basic operations
and lemmas about lengths, visited vertices, traversed edges, incidence pairs, and reversal.
### Concrete graph types
This PR provides instances showing that:
* `SimpleGraph` is graph-like, undirected, loopless, and has no parallel edges.
* `Graph` is graph-like and undirected. Its incidence type distinguishes the two incidences of a
loop.
* `Digraph` is graph-like, directed, and has no parallel edges.
The PR also adds a small collection of supporting lemmas for `Part` and `PFun`. In particular,
`PFun.preimage_inter` is strengthened from an inclusion to an equality.
### Walk-related definitions
* `WalkData`: graph-independent walk data recording vertices, edges, and the exact incidence pair
used by each step.
* `WalkData.IsValid`: certifies that `WalkData` describes a valid walk in a particular graph.
* `Walk G u v`: packages valid walk data with specified endpoints.
Codex was used to help with writing the walk related section and reviewing the PR.
Co-authored-by: OpenAI Codex <codex@openai.com>
---
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
2085/2 |
Mathlib.lean,Mathlib/Combinatorics/Digraph/GraphLike.lean,Mathlib/Combinatorics/Graph/Basic.lean,Mathlib/Combinatorics/Graph/GraphLike.lean,Mathlib/Combinatorics/GraphLike/Basic.lean,Mathlib/Combinatorics/GraphLike/Walks/Basic.lean,Mathlib/Combinatorics/GraphLike/Walks/Dart.lean,Mathlib/Combinatorics/SimpleGraph/GraphLike.lean,Mathlib/Data/PFun.lean,Mathlib/Data/Part.lean |
10 |
2 |
['github-actions'] |
b-mehta assignee:b-mehta |
9-82307 9 days ago |
11-55096 11 days ago |
64-37136 64 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 |
9-79667 9 days ago |
10-297 10 days ago |
10-80 10 days |
| 42202 |
j-loreaux author:j-loreaux |
feat: define `PositiveContinuousLinearMap` |
This PR defines the continuous version of `PositiveLinearMap` via `extend`ing this structure as well as `ContinuousLinearMap`. In the process, we also create `Is{Add,Zero,SMul}Apply` instances for `PositiveLinearMap`.
---
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|
t-topology
maintainer-merge
|
269/16 |
Mathlib.lean,Mathlib/Algebra/Order/Module/PositiveLinearMap.lean,Mathlib/Topology/Algebra/Module/ContinuousLinearMap/Positive.lean |
3 |
28 |
['github-actions', 'j-loreaux', 'mcdoll', 'themathqueen'] |
nobody |
9-75180 9 days ago |
9-76001 9 days ago |
9-84669 9 days |
| 42254 |
lakesare author:lakesare |
feat(Analysis/SpecialFunctions/ImproperIntegrals): add not_integrableOn_Ioi_rpow_of_neg_one_le |
From the Carleson project.
-------
**Upstreaming from Carleson: [/Carleson/ToMathlib/Analysis/SpecialFunctions/ImproperIntegrals.lean](https://github.com/fpvandoorn/carleson/blob/0072b6e47ec58ac13be0a9f3b7c17e9f3bb1be2e/Carleson/ToMathlib/Analysis/SpecialFunctions/ImproperIntegrals.lean)**
### Changes from carleson
- **generalized**
Removed `(ha : 0 ≤ a)` hypothesis
- **renamed from `theorem not_integrableOn_Ioi_rpow'` to `theorem not_integrableOn_Ioi_rpow_of_neg_one_le`**
A more descriptive name
### Signatures
```lean
-- CARLESON
not_integrableOn_Ioi_rpow' {a s : ℝ} (ha : 0 ≤ a) (hs : -1 ≤ s) : ¬IntegrableOn (fun x ↦ x ^ s) (Ioi a) volume
-- MATHLIB
not_integrableOn_Ioi_rpow_of_neg_one_le {a s : ℝ} (hs : -1 ≤ s) : ¬IntegrableOn (fun x ↦ x ^ s) (Ioi a) volume
``` |
carleson
t-analysis
easy
|
6/0 |
Mathlib/Analysis/SpecialFunctions/ImproperIntegrals.lean |
1 |
4 |
['felixpernegger', 'github-actions', 'lakesare'] |
nobody |
9-74117 9 days ago |
9-78851 9 days ago |
9-78634 9 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`.
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 |
610/406 |
Mathlib.lean,Mathlib/Order/Partition/Basic.lean,Mathlib/Order/Partition/Set.lean,Mathlib/Order/SupIndep.lean |
4 |
1 |
['github-actions'] |
nobody |
9-67023 9 days ago |
9-67023 9 days ago |
9-66806 9 days |
| 42258 |
ScottCarnahan author:ScottCarnahan |
feat(Algebra/Lie/Graded): add graded Lie modules |
This PR defines graded Lie modules over graded Lie algebras. Some existing declarations are changed to be heterogeneous, so they apply to modules in addition to Lie algebras.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
tech debt
label:t-algebra$ |
50/20 |
Mathlib/Algebra/Lie/Graded.lean |
1 |
1 |
['github-actions'] |
nobody |
9-63524 9 days ago |
9-73791 9 days ago |
9-73574 9 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 |
9-59049 9 days ago |
20-45078 20 days ago |
20-44861 20 days |
| 39663 |
Raph-DG author:Raph-DG |
feat(Topology): A spectral map between quasi-separated, prespectral sober spaces has compact fibers |
In this PR, we develop some API around the constructible topology, culminating in the fact that a spectral map between quasi-separated, prespectral sober spaces has compact fibers. To see why this might be of interest, note that the analogous theorem in algebraic geometry (that a quasiseparated map between schemes has quasicompact fibers) does not require any global separatedness assumptions, and the proof of this is very algebraic. So we have the somewhat mysterious situation that it seems as though there are nontrvial topological restrictions on the kinds of spectral maps which can be the underlying maps of morphisms of schemes.
This PR was originally part of #26304, a PR on pushforwards of algebraic cycles. This is where the notion of compactness of fibers becomes relevant, as this guarantees each coefficient of the pushforward of a cycle is computed by a finite sum.
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|
t-topology
large-import
|
178/6 |
Mathlib/Topology/Compactness/Compact.lean,Mathlib/Topology/Constructible.lean,Mathlib/Topology/Defs/Induced.lean,Mathlib/Topology/Maps/Proper/Basic.lean,Mathlib/Topology/Spectral/ConstructibleTopology.lean,Mathlib/Topology/WithTopology.lean |
6 |
5 |
['Raph-DG', 'chrisflav', 'github-actions', 'j-loreaux'] |
urkud assignee:urkud |
9-55882 9 days ago |
58-10177 58 days ago |
62-80402 62 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'] |
riccardobrasca assignee:riccardobrasca |
9-55881 9 days ago |
57-63904 57 days ago |
66-63731 66 days |
| 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 |
1 |
['github-actions'] |
riccardobrasca assignee:riccardobrasca |
9-55880 9 days ago |
66-12409 66 days ago |
66-12192 66 days |
| 40250 |
mcdoll author:mcdoll |
feat(Dynamics): add `Homeomorph.flow` |
Define the discrete flow by iterating a homeomorphism.
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[](https://gitpod.io/from-referrer/)
|
t-dynamics |
29/0 |
Mathlib/Dynamics/Flow.lean |
1 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
sgouezel assignee:sgouezel |
9-55879 9 days ago |
47-28512 47 days ago |
47-28295 47 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'] |
ADedecker assignee:ADedecker |
9-55875 9 days ago |
30-43783 30 days ago |
30-43566 30 days |
| 41703 |
plp127 author:plp127 |
perf(Condensed/Light): speedup kernel typechecking of `InternalProjectivityProof.cocone` |
Speedup kernel typechecking of `InternalProjectivityProof.cocone` in `Mathlib/Condensed/Light/Sequence.lean`. `Functor.map_comp` for `lightProfiniteToLightCondSet` holds by `rfl`, but rewriting backwards with `Functor.map_comp` explicitly in `simp` makes the subsequent `rfl` faster in the kernel because it doesn't need to unfold as much. See [Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/kernelbarfing.20in.20mathlib/near/609873490).
---
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|
t-condensed |
2/2 |
Mathlib/Condensed/Light/Sequence.lean |
1 |
5 |
['github-actions', 'grunweg', 'leanprover-radar', 'plp127'] |
dagurtomas assignee:dagurtomas |
9-55871 9 days ago |
25-83649 25 days ago |
25-83432 25 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
|
192/5 |
Mathlib/MeasureTheory/Integral/IntervalIntegral/MeanValue.lean,docs/references.bib |
2 |
1 |
['github-actions'] |
urkud assignee:urkud |
9-55871 9 days ago |
18-51285 18 days ago |
18-51336 18 days |
| 41015 |
JovanGerb author:JovanGerb |
chore(CategoryTheory/Functor/EpiMono): use `to_dual` |
This PR uses `to_dual` to translate some declarations about `Epimorphisms` and `Monomorphisms`. Various prerequisites have also been tagged in this PR.
The namespace of some lemmas has been fixed that should have been capitalized.
A few lemmas about `Epimorphisms` didn't have a corresponding `Monomorphisms` version, so they have been added in this PR.
---
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|
|
138/225 |
Mathlib/CategoryTheory/Adjunction/Basic.lean,Mathlib/CategoryTheory/EpiMono.lean,Mathlib/CategoryTheory/Functor/EpiMono.lean,Mathlib/CategoryTheory/Functor/FullyFaithful.lean,Mathlib/CategoryTheory/LiftingProperties/Adjunction.lean,Mathlib/CategoryTheory/Preadditive/Injective/Basic.lean,Mathlib/CategoryTheory/Preadditive/Projective/Internal.lean,Mathlib/Tactic/Translate/ToDual.lean |
8 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
9-52991 9 days ago |
9-56184 9 days ago |
31-12753 31 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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|
t-order |
4/4 |
Mathlib/Order/Notation.lean |
1 |
1 |
['github-actions'] |
nobody |
9-52209 9 days ago |
28-7770 28 days ago |
28-7553 28 days |
| 42176 |
yuanyi-350 author:yuanyi-350 |
feat(RingTheory/AlgebraicIndependent): upgrade polynomial equivalence |
|
t-ring-theory |
13/26 |
Mathlib/RingTheory/AlgebraicIndependent/Basic.lean,Mathlib/RingTheory/AlgebraicIndependent/Transcendental.lean |
2 |
1 |
['github-actions'] |
nobody |
9-50103 9 days ago |
11-27838 11 days ago |
11-27621 11 days |
| 41923 |
themathqueen author:themathqueen |
feat(Algebra): `IsUnital` and `IsNotUnital` classes |
This adds Prop-type classes on multiplicative types that state whether a unit exists or not. This shouldn't really be used unless it is the only reasonable way to phrase or prove a statement.
---
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This will be used in #36327.
Zulip thread: [#mathlib4 > `IsUnital` class](#narrow/channel/287929-mathlib4/topic/.60IsUnital.60.20class)
[](https://gitpod.io/from-referrer/)
|
t-algebra
maintainer-merge
label:t-algebra$ |
183/0 |
Mathlib/Algebra/Algebra/Defs.lean,Mathlib/Algebra/Group/Defs.lean,Mathlib/Algebra/Ring/Defs.lean,Mathlib/Analysis/CStarAlgebra/Classes.lean,Mathlib/Analysis/Normed/Module/Basic.lean,Mathlib/Analysis/Normed/Ring/Basic.lean |
6 |
13 |
['SnirBroshi', 'github-actions', 'j-loreaux', 'themathqueen'] |
nobody |
9-49489 9 days ago |
9-79633 9 days ago |
19-56494 19 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 |
9-46520 9 days ago |
9-48285 9 days ago |
20-42536 20 days |
| 41288 |
lua-vr author:lua-vr |
feat(EReal): add_eq_top_iff_eq_top_* |
Adds `add_eq_top_iff_eq_top_{left,right}` and replaces the proofs of the `ne` versions with `.ne`. `add_ne_top_iff_of_ne_bot_of_ne_top` was duplicated, so I deprecated it.
---
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|
t-data |
11/6 |
Mathlib/Data/EReal/Operations.lean |
1 |
3 |
['felixpernegger', 'github-actions', 'lua-vr'] |
nobody |
9-26723 9 days ago |
37-16827 37 days ago |
37-16610 37 days |
| 42240 |
yuanyi-350 author:yuanyi-350 |
feat(LinearAlgebra): generalize dualAnnihilator_iInf_eq to Sort |
|
t-algebra label:t-algebra$ |
5/4 |
Mathlib/LinearAlgebra/Dual/Lemmas.lean |
1 |
3 |
['github-actions', 'plp127'] |
nobody |
9-6377 9 days ago |
10-6527 10 days ago |
10-6310 10 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 |
9-4815 9 days ago |
10-32623 10 days ago |
10-32406 10 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 |
9-4789 9 days ago |
10-31561 10 days ago |
10-34552 10 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 |
9-4789 9 days ago |
10-68592 10 days ago |
10-69199 10 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 |
9-4782 9 days ago |
11-24707 11 days ago |
11-24490 11 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 |
7 |
['cameronfreer', 'felixpernegger', 'github-actions', 'mathlib-bors'] |
nobody |
9-3248 9 days ago |
9-3328 9 days ago |
9-65310 9 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
|
32/0 |
Mathlib/Order/Interval/Set/LinearOrder.lean |
1 |
3 |
['felixpernegger', 'github-actions', 'joelkronqvist', 'wwylele'] |
nobody |
8-84119 8 days ago |
12-15054 12 days ago |
12-14837 12 days |
| 38596 |
JJYYY-JJY author:JJYYY-JJY |
feat(LinearAlgebra/Matrix): add elementary row operations |
Add row-scaling matrices and row equivalence via the action of the general linear group.
Co-authored-by: Joseph Qian <jqian507@gmail.com>
Co-authored-by: Veer Shukla <shukvee@uw.edu>
Co-authored-by: Dhruv Bhatia <dhruvbhatia00@gmail.com>
Co-authored-by: Zheng Wu <1036819072@qq.com>
---
The echelon-form definitions from the previous version were removed in favor of #42236. |
t-algebra
new-contributor
label:t-algebra$ |
195/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Matrix/Elementary.lean |
2 |
37 |
['JJYYY-JJY', 'SnirBroshi', 'bryangingechen', 'copilot-pull-request-reviewer', 'dagurtomas', 'github-actions', 'mathlib-merge-conflicts', 'mathlib-splicebot', 'ocfnash', 'themathqueen', 'wwylele'] |
mattrobball and ocfnash assignee:ocfnash assignee:mattrobball |
8-81305 8 days ago |
8-82050 8 days ago |
76-2888 76 days |
| 42235 |
marcelolynch author:marcelolynch |
chore: remove unused open declarations |
This PR removes namespaces from `open` commands when no declaration of the scope uses them.
Found the candidates with metaprogramming, then double checked file by file. The linter used for this itself is not proposed for adoption (the approach is prone to false positives) but these verified removals still stand.
Unused `open` declarations carry two costs: they invite ambiguous-reference errors for later edits in the scope, and they misdescribe the dependencies of the file to readers. There is no performance effect.
Zulip discussion: https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Removing.20unnecessary.20.60open.60.20declarations/with/613515627 |
|
616/1099 |
Mathlib/Algebra/BigOperators/Group/Finset/Basic.lean,Mathlib/Algebra/BigOperators/Group/Finset/Pi.lean,Mathlib/Algebra/BigOperators/Group/Finset/Preimage.lean,Mathlib/Algebra/BigOperators/Group/Finset/Sigma.lean,Mathlib/Algebra/BigOperators/Ring/List.lean,Mathlib/Algebra/Category/AlgCat/Basic.lean,Mathlib/Algebra/Category/BialgCat/Monoidal.lean,Mathlib/Algebra/Category/BoolRing.lean,Mathlib/Algebra/Category/CommAlgCat/FiniteType.lean,Mathlib/Algebra/Category/FGModuleCat/Abelian.lean,Mathlib/Algebra/Category/Grp/Abelian.lean,Mathlib/Algebra/Category/HopfAlgCat/Monoidal.lean,Mathlib/Algebra/Category/ModuleCat/AB.lean,Mathlib/Algebra/Category/ModuleCat/Ext/Basic.lean,Mathlib/Algebra/Category/ModuleCat/InjectiveDimension.lean,Mathlib/Algebra/Category/ModuleCat/ProjectiveDimension.lean,Mathlib/Algebra/Category/ModuleCat/Sheaf/Abelian.lean,Mathlib/Algebra/CharP/Reduced.lean,Mathlib/Algebra/CharZero/Infinite.lean,Mathlib/Algebra/Colimit/Module.lean,Mathlib/Algebra/DirectSum/Finsupp.lean,Mathlib/Algebra/Field/Basic.lean,Mathlib/Algebra/Field/Defs.lean,Mathlib/Algebra/Field/GeomSum.lean,Mathlib/Algebra/Group/Pointwise/Finset/Scalar.lean,Mathlib/Algebra/Group/Pointwise/Set/Lattice.lean,Mathlib/Algebra/Group/Subgroup/Defs.lean,Mathlib/Algebra/GroupWithZero/Action/Faithful.lean,Mathlib/Algebra/GroupWithZero/Action/Pointwise/Set.lean,Mathlib/Algebra/GroupWithZero/Pointwise/Set/Basic.lean,Mathlib/Algebra/Homology/DerivedCategory/Linear.lean,Mathlib/Algebra/Homology/ImageToKernel.lean,Mathlib/Algebra/Homology/LeftResolution/Transport.lean,Mathlib/Algebra/Homology/ShortComplex/ModuleCat.lean,Mathlib/Algebra/Lie/EngelSubalgebra.lean,Mathlib/Algebra/Lie/Weights/Linear.lean,Mathlib/Algebra/Module/CharacterModule.lean,Mathlib/Algebra/Module/Defs.lean,Mathlib/Algebra/Module/End.lean,Mathlib/Algebra/Module/Equiv/Basic.lean,Mathlib/Algebra/Module/GradedModule.lean,Mathlib/Algebra/Module/LocalizedModule/Int.lean,Mathlib/Algebra/Module/LocalizedModule/Submodule.lean,Mathlib/Algebra/Module/NatInt.lean,Mathlib/Algebra/Module/PID.lean,Mathlib/Algebra/Module/RingHom.lean,Mathlib/Algebra/Module/Submodule/Map.lean,Mathlib/Algebra/MonoidAlgebra/Support.lean,Mathlib/Algebra/MvPolynomial/CommRing.lean,Mathlib/Algebra/MvPolynomial/PDeriv.lean,Mathlib/Algebra/Order/AddTorsor.lean,Mathlib/Algebra/Order/Algebra.lean,Mathlib/Algebra/Order/BigOperators/Group/LocallyFinite.lean,Mathlib/Algebra/Order/Field/GeomSum.lean,Mathlib/Algebra/Order/Field/Pointwise.lean,Mathlib/Algebra/Order/Floor/Defs.lean,Mathlib/Algebra/Order/Floor/Semifield.lean,Mathlib/Algebra/Order/Group/Abs.lean,Mathlib/Algebra/Order/Group/CompleteLattice.lean,Mathlib/Algebra/Order/Group/Defs.lean,Mathlib/Algebra/Order/Group/Lattice.lean,Mathlib/Algebra/Order/Group/OrderIso.lean,Mathlib/Algebra/Order/Group/Pointwise/CompleteLattice.lean,Mathlib/Algebra/Order/Group/Unbundled/Abs.lean,Mathlib/Algebra/Order/Group/Unbundled/Basic.lean,Mathlib/Algebra/Order/Group/Unbundled/Int.lean,Mathlib/Algebra/Order/GroupWithZero/Synonym.lean,Mathlib/Algebra/Order/Hom/Basic.lean,Mathlib/Algebra/Order/Interval/Basic.lean,Mathlib/Algebra/Order/Interval/Finset/Basic.lean,Mathlib/Algebra/Order/Interval/Finset/SuccPred.lean,Mathlib/Algebra/Order/Interval/Set/SuccPred.lean,Mathlib/Algebra/Order/Monoid/NatCast.lean,Mathlib/Algebra/Order/Monoid/OrderDual.lean,Mathlib/Algebra/Order/Monoid/Unbundled/MinMax.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Pow.lean,Mathlib/Algebra/Order/Monoid/WithTop.lean,Mathlib/Algebra/Order/Nonneg/Basic.lean,Mathlib/Algebra/Order/Nonneg/Field.lean,Mathlib/Algebra/Order/Nonneg/Ring.lean,Mathlib/Algebra/Order/Ring/Basic.lean,Mathlib/Algebra/Order/Ring/Cast.lean,Mathlib/Algebra/Order/Ring/Defs.lean,Mathlib/Algebra/Order/Ring/GeomSum.lean,Mathlib/Algebra/Order/SuccPred/PartialSups.lean,Mathlib/Algebra/Order/ZeroLEOne.lean,Mathlib/Algebra/Pointwise/Stabilizer.lean,Mathlib/Algebra/Polynomial/Cardinal.lean,Mathlib/Algebra/Polynomial/Degree/Domain.lean,Mathlib/Algebra/Polynomial/Degree/Lemmas.lean,Mathlib/Algebra/Polynomial/Degree/Monomial.lean,Mathlib/Algebra/Polynomial/Degree/SmallDegree.lean,Mathlib/Algebra/Polynomial/Degree/TrailingDegree.lean,Mathlib/Algebra/Polynomial/Degree/Units.lean,Mathlib/Algebra/Polynomial/DenomsClearable.lean,Mathlib/Algebra/Polynomial/Eval/Algebra.lean,Mathlib/Algebra/Polynomial/Eval/Degree.lean,Mathlib/Algebra/Polynomial/Eval/Irreducible.lean,Mathlib/Algebra/Polynomial/Eval/SMul.lean,Mathlib/Algebra/Polynomial/Inductions.lean |
797 |
3 |
['b-mehta', 'github-actions', 'marcelolynch'] |
nobody |
8-74756 8 days ago |
9-70644 9 days ago |
9-70427 9 days |
| 42214 |
marcelolynch author:marcelolynch |
chore: remove unused section variables |
This PR removes about 1955 `variable` binders that no declaration in their scope uses, together with the anonymous instance binders that mention them.
A prototype stateful linter found the binders in a sweep over all of mathlib; #42216 contains the linter for reference. An automated edit removed each dead binder and its dependent instance binders, and every edited file was verified to compile after the edit. Files whose findings could not be verified, or whose sources differ between master and the validation branch, were dropped from the PR.
Section variables enter a declaration only when the declaration uses them. The removals therefore change no signatures and have no effect on other files: the change is invisible outside the edited files.However, dead instance binders sit in the local context of every declaration of their scope and participate in every type class search there.
🤖 Generated with [Claude Code](https://claude.com/claude-code)
|
|
1143/1387 |
Mathlib/Algebra/Algebra/Defs.lean,Mathlib/Algebra/Algebra/Equiv.lean,Mathlib/Algebra/Algebra/Hom.lean,Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean,Mathlib/Algebra/Algebra/Operations.lean,Mathlib/Algebra/Algebra/Subalgebra/Basic.lean,Mathlib/Algebra/Algebra/Subalgebra/Lattice.lean,Mathlib/Algebra/Algebra/Subalgebra/Tower.lean,Mathlib/Algebra/BigOperators/Finprod.lean,Mathlib/Algebra/BigOperators/Group/Finset/Defs.lean,Mathlib/Algebra/BigOperators/Group/Finset/Lemmas.lean,Mathlib/Algebra/BigOperators/Group/Finset/Piecewise.lean,Mathlib/Algebra/BigOperators/Group/Finset/Powerset.lean,Mathlib/Algebra/BigOperators/Group/Finset/Sigma.lean,Mathlib/Algebra/BigOperators/Group/List/Lemmas.lean,Mathlib/Algebra/BigOperators/Group/Multiset/Defs.lean,Mathlib/Algebra/BigOperators/Intervals.lean,Mathlib/Algebra/Category/CommAlgCat/Monoidal.lean,Mathlib/Algebra/Category/Grp/Abelian.lean,Mathlib/Algebra/CharP/Defs.lean,Mathlib/Algebra/CharP/Frobenius.lean,Mathlib/Algebra/CharP/Lemmas.lean,Mathlib/Algebra/CubicDiscriminant.lean,Mathlib/Algebra/DirectSum/Module.lean,Mathlib/Algebra/Divisibility/Basic.lean,Mathlib/Algebra/Field/GeomSum.lean,Mathlib/Algebra/Field/Periodic.lean,Mathlib/Algebra/Field/Subfield/Defs.lean,Mathlib/Algebra/Group/Action/End.lean,Mathlib/Algebra/Group/Action/Equidecomp.lean,Mathlib/Algebra/Group/Action/Pointwise/Set/Basic.lean,Mathlib/Algebra/Group/Action/Prod.lean,Mathlib/Algebra/Group/Action/TypeTags.lean,Mathlib/Algebra/Group/Equiv/Basic.lean,Mathlib/Algebra/Group/Equiv/Finite.lean,Mathlib/Algebra/Group/Finsupp.lean,Mathlib/Algebra/Group/Irreducible/Defs.lean,Mathlib/Algebra/Group/Nat/Hom.lean,Mathlib/Algebra/Group/Nat/Range.lean,Mathlib/Algebra/Group/Pi/Basic.lean,Mathlib/Algebra/Group/Pointwise/Finset/Basic.lean,Mathlib/Algebra/Group/Pointwise/Finset/Scalar.lean,Mathlib/Algebra/Group/Pointwise/Set/Basic.lean,Mathlib/Algebra/Group/Pointwise/Set/Finite.lean,Mathlib/Algebra/Group/Pointwise/Set/Lattice.lean,Mathlib/Algebra/Group/Pointwise/Set/Scalar.lean,Mathlib/Algebra/Group/Pointwise/Set/Small.lean,Mathlib/Algebra/Group/Subgroup/Basic.lean,Mathlib/Algebra/Group/Subgroup/Finite.lean,Mathlib/Algebra/Group/Subgroup/Ker.lean,Mathlib/Algebra/Group/Subgroup/Map.lean,Mathlib/Algebra/Group/Subgroup/MulOpposite.lean,Mathlib/Algebra/Group/Subgroup/ZPowers/Basic.lean,Mathlib/Algebra/Group/Submonoid/BigOperators.lean,Mathlib/Algebra/Group/Submonoid/Pointwise.lean,Mathlib/Algebra/Group/Units/Defs.lean,Mathlib/Algebra/Group/Units/Opposite.lean,Mathlib/Algebra/GroupWithZero/Action/Basic.lean,Mathlib/Algebra/GroupWithZero/Basic.lean,Mathlib/Algebra/Homology/Bifunctor.lean,Mathlib/Algebra/Homology/Embedding/ExtendHomology.lean,Mathlib/Algebra/Homology/HomotopyCategory/HomComplexCohomology.lean,Mathlib/Algebra/Homology/HomotopyCategory/Pretriangulated.lean,Mathlib/Algebra/Homology/LocalCohomology.lean,Mathlib/Algebra/Homology/Localization.lean,Mathlib/Algebra/Homology/ShortComplex/Abelian.lean,Mathlib/Algebra/Homology/ShortComplex/HomologicalComplex.lean,Mathlib/Algebra/Homology/ShortComplex/Homology.lean,Mathlib/Algebra/Homology/ShortComplex/Linear.lean,Mathlib/Algebra/Homology/ShortComplex/PreservesHomology.lean,Mathlib/Algebra/Homology/SpectralObject/EpiMono.lean,Mathlib/Algebra/Homology/SpectralObject/Homology.lean,Mathlib/Algebra/Homology/SpectralObject/Page.lean,Mathlib/Algebra/Lie/Abelian.lean,Mathlib/Algebra/Lie/Ideal.lean,Mathlib/Algebra/Lie/InvariantForm.lean,Mathlib/Algebra/Lie/Rank.lean,Mathlib/Algebra/Lie/Submodule.lean,Mathlib/Algebra/Module/Defs.lean,Mathlib/Algebra/Module/End.lean,Mathlib/Algebra/Module/GradedModule.lean,Mathlib/Algebra/Module/LinearMap/FiniteRange.lean,Mathlib/Algebra/Module/Opposite.lean,Mathlib/Algebra/Module/RingHom.lean,Mathlib/Algebra/Module/Submodule/Basic.lean,Mathlib/Algebra/Module/Submodule/Defs.lean,Mathlib/Algebra/Module/Submodule/Equiv.lean,Mathlib/Algebra/Module/Submodule/Ker.lean,Mathlib/Algebra/Module/Submodule/LinearMap.lean,Mathlib/Algebra/Module/Submodule/Map.lean,Mathlib/Algebra/Module/Submodule/Pointwise.lean,Mathlib/Algebra/Module/Torsion/Free.lean,Mathlib/Algebra/MonoidAlgebra/Lift.lean,Mathlib/Algebra/MvPolynomial/Basic.lean,Mathlib/Algebra/MvPolynomial/CommRing.lean,Mathlib/Algebra/MvPolynomial/Degrees.lean,Mathlib/Algebra/MvPolynomial/Equiv.lean,Mathlib/Algebra/MvPolynomial/Eval.lean,Mathlib/Algebra/MvPolynomial/NoZeroDivisors.lean,Mathlib/Algebra/MvPolynomial/PDeriv.lean |
811 |
14 |
['github-actions', 'leanprover-radar', 'marcelolynch', 'thorimur'] |
nobody |
8-69222 8 days ago |
9-49092 9 days ago |
9-48875 9 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'] |
alreadydone assignee:alreadydone |
8-55883 8 days ago |
31-21156 31 days ago |
78-21085 78 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'] |
alreadydone assignee:alreadydone |
8-55882 8 days ago |
65-75137 65 days ago |
65-74920 65 days |
| 41187 |
joelriou author:joelriou |
feat(CategoryTheory/Presentable): constructor for `IsCardinalPresentable` |
---
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|
t-category-theory |
28/5 |
Mathlib/CategoryTheory/Presentable/Basic.lean |
1 |
8 |
['github-actions', 'joelriou', 'smorel394'] |
robin-carlier assignee:robin-carlier |
8-55879 8 days ago |
38-39969 38 days ago |
39-23703 39 days |
| 41312 |
EtienneC30 author:EtienneC30 |
feat: the indicator of a set is a Bernoulli random variable |
---
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|
t-measure-probability
large-import
|
40/0 |
Mathlib/Probability/Distributions/Bernoulli.lean |
1 |
1 |
['github-actions'] |
kex-y assignee:kex-y |
8-55878 8 days ago |
36-29442 36 days ago |
36-29731 36 days |
| 41891 |
sgouezel author:sgouezel |
feat: Fubini theorem for vector measures |
---
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|
t-measure-probability |
259/0 |
Mathlib/MeasureTheory/VectorMeasure/Prod.lean |
1 |
5 |
['SnirBroshi', 'github-actions', 'sgouezel'] |
kex-y assignee:kex-y |
8-55877 8 days ago |
21-7881 21 days ago |
21-7722 21 days |
| 40597 |
xroblot author:xroblot |
feat(GroupTheory/SpecificGroups/Cyclic): add IsCyclic.subgroup_le/eq_subgroup_iff |
Add the following results about subgroup comparison in finite cyclic groups.
In `Mathlib.Algebra.Group.Subgroup.ZPowers.Lemmas`:
- `Int.zmultiples_le_zmultiples_iff`: `zmultiples a ≤ zmultiples b ↔ b ∣ a`
In `Mathlib.GroupTheory.SpecificGroups.Cyclic`:
- `AddSubgroup.zmultiples_le_zmultiples_iff`: `zmultiples (i • g) ≤ zmultiples (j • g) ↔ j.gcd (addOrderOf g) ∣ i.gcd (addOrderOf g)`
- `Subgroup.zpowers_le_zpowers_iff`: multiplicative version
- `Subgroup.zpowers_eq_zpowers_iff'`: `zpowers (g ^ i) = zpowers (g ^ j) ↔ i.gcd (orderOf g) = j.gcd (orderOf g)`
- `IsCyclic.subgroup_le_subgroup_iff`: in a finite cyclic group, `H ≤ K ↔ Nat.card H ∣ Nat.card K`
- `IsCyclic.subgroup_eq_subgroup_iff`: in a finite cyclic group, `H = K ↔ Nat.card H = Nat.card K`
:robot: This PR was extracted from the [SKW project](https://github.com/xroblot/SKW) by Claude. |
t-group-theory |
113/0 |
Mathlib/Algebra/Group/Subgroup/Ker.lean,Mathlib/Algebra/Group/Subgroup/ZPowers/Lemmas.lean,Mathlib/Data/Nat/GCD/Basic.lean,Mathlib/GroupTheory/OrderOfElement.lean,Mathlib/GroupTheory/SpecificGroups/Cyclic.lean |
5 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
8-54979 8 days ago |
29-85686 29 days ago |
48-72675 48 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'] |
nobody |
8-54976 8 days ago |
36-77516 36 days ago |
37-24546 37 days |
| 42167 |
felixpernegger author:felixpernegger |
feat(Topology): small inductive dimension does not increase under inducing maps |
The small inductive dimension of a topological space does not increase under inducing maps; in particular, the dimension of a subspace is less or equal to that of the original space and the dimension is preserved by homeomorphisms.
Story of this PR:
I originally proved this (entirely by hand) for homeomorphisms, but @plp127 pointed out this can be improved. I then asked Codex (GPT 5.6 Sol high) to prove the generalisation. I reviewed the AI code carefully and golfed it slightly.
---
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t-topology
large-import
LLM-generated
|
51/4 |
Mathlib/Topology/SmallInductiveDimension.lean |
1 |
24 |
['felixpernegger', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts', 'plp127', 'vihdzp'] |
nobody |
8-52529 8 days ago |
8-54791 8 days ago |
11-40393 11 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 |
8-33199 8 days ago |
8-33199 8 days ago |
8-33034 8 days |
| 42000 |
kebekus author:kebekus |
feat: trivial estimates for the positive part of the logarithm |
Complete API for posLog by adding several trivial but useful estimates.
---
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|
t-analysis
large-import
|
60/15 |
Mathlib/Analysis/SpecialFunctions/Log/PosLog.lean |
1 |
22 |
['felixpernegger', 'github-actions', 'kebekus'] |
nobody |
8-30105 8 days ago |
8-30750 8 days ago |
17-26815 17 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 |
8-29728 8 days ago |
16-79159 16 days ago |
22-1452 22 days |
| 41898 |
marcinbugaj author:marcinbugaj |
feat(Analysis/Convex): majorization preorder and T-transform decomposition |
Define `Majorizes` (notation `≺`) on `Fin n → ℝ`, show it is a preorder, define single T-transforms (`TTransform`/`RelatedByTTransform`) and `discrepancy`, and prove `majorizes_iff_reflTransGen_relatedByTTransform`: `a ≺ b` iff the sorted `a` is reachable from the sorted `b` by a finite chain of T-transforms (both directions).
|
t-analysis
new-contributor
|
782/0 |
Mathlib.lean,Mathlib/Analysis/Convex/Majorization.lean,docs/references.bib |
3 |
9 |
['YaelDillies', 'github-actions', 'marcinbugaj'] |
nobody |
8-28049 8 days ago |
15-16771 15 days ago |
20-14041 20 days |
| 41757 |
wwylele author:wwylele |
doc: add theorem 8 (straightedge-and-compass construction) to 100.yaml |
Adding my repo as an external proof to the theorems.
---
A hard part of these theorems is verifying the definition and the statement. I have extracted the relevant definition in the [Challenge.lean file](https://github.com/wwylele/Compass/blob/master/Challenge.lean) for review. This is also verifiable using comparator. I followed [wikipedia](https://en.wikipedia.org/wiki/Straightedge_and_compass_construction#The_basic_constructions) for the definition of constructibility
Zulip thread: [#general > The impossibility of trisecting the angle](https://leanprover.zulipchat.com/#narrow/channel/113488-general/topic/The.20impossibility.20of.20trisecting.20the.20angle/with/610005158) (there is discussion about whether this definition allows "picking an arbitrary point")
I plan to upstream some or all of the project, but I anticipate it to be a long process, and it is not clear to me whether the entire project is within the scope of Mathlib, which is why I am only adding a link to the repo for now
AI usage disclosure: [this 63 lines](https://github.com/wwylele/Compass/blob/1352a83753052bc9a069b52aced81785dccb0aba/Compass/ConstructibleNumber.lean#L45-L111) were generated by Aristotle. The rest were written by me.
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documentation
maintainer-merge
|
3/0 |
docs/100.yaml |
1 |
4 |
['github-actions', 'joneugster'] |
joneugster assignee:joneugster |
8-27589 8 days ago |
24-69381 24 days ago |
24-69164 24 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
|
407/313 |
Mathlib/Tactic/Linter/DirectoryDependency.lean,scripts/README.md,scripts/forbiddenDirs.json |
3 |
14 |
['github-actions', 'grunweg', 'joneugster', 'rosborn'] |
grunweg and joneugster assignee:joneugster assignee:grunweg |
8-26242 8 days ago |
10-52035 10 days ago |
14-73439 14 days |
| 41591 |
xroblot author:xroblot |
refactor(NumberTheory/RamificationInertia): ring-level decomposition and inertia predicates |
Refactor of the decomposition/inertia infrastructure in Hilbert Theory to the level of rings with two new predicates `Ideal.IsDecompositionRing G P C` and `Ideal.IsInertiaRing G P C`: for a group `G` acting on a commutative ring `B` with prime `P`, they state that `B` is Galois over the ring `C` with Galois group the decomposition group, resp. the inertia group of P.
The old field-level classes and their whole API are deprecated in favor of the ring versions.
---
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- [x] depends on: #41614
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|
t-number-theory |
396/87 |
Mathlib/Algebra/Group/Subgroup/Basic.lean,Mathlib/NumberTheory/RamificationInertia/HilbertTheory.lean,Mathlib/RingTheory/Ideal/Maps.lean,Mathlib/RingTheory/Ideal/Pointwise.lean,Mathlib/RingTheory/RamificationInertia/Inertia.lean,Mathlib/RingTheory/RamificationInertia/Ramification.lean |
6 |
12 |
['github-actions', 'mathlib-dependent-issues', 'tb65536', 'xroblot'] |
loefflerd assignee:loefflerd |
8-24130 8 days ago |
9-55050 9 days ago |
10-11075 10 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'] |
grunweg assignee:grunweg |
8-23481 8 days ago |
8-23498 8 days ago |
8-28051 8 days |
| 39696 |
jsm28 author:jsm28 |
refactor(LinearAlgebra/Orientation,LinearAlgebra/AffineSpace/FiniteDimensional): instances for arbitrary orientations |
Based on suggestions by @kim-em on Zulip https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/PRs.20towards.20IMO.20geometry.202024.20P4/near/596946072 add convenience scoped instances for choosing an arbitrary orientation of a module, and for the `finrank` of the span of the vertices of a simplex.
Note: I don't understand why the latter scoped instance is only found automatically in one of the two places using it; in `Sphere/Power.lean` it's necessary to use `Affine.Simplex.fact_finrank_direction_affineSpan_eq` rather than relying on typeclass inference, but in `Angle/Sphere.lean` typeclass inference suffices.
---
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|
t-algebra
t-euclidean-geometry
maintainer-merge
label:t-algebra$ |
26/23 |
Archive/Imo/Imo2019Q2.lean,Mathlib/Geometry/Euclidean/Angle/Sphere.lean,Mathlib/Geometry/Euclidean/Sphere/Power.lean,Mathlib/LinearAlgebra/AffineSpace/FiniteDimensional.lean,Mathlib/LinearAlgebra/Orientation.lean |
5 |
9 |
['YaelDillies', 'github-actions', 'jsm28', 'mathlib-merge-conflicts'] |
eric-wieser assignee:eric-wieser |
8-23406 8 days ago |
8-24075 8 days ago |
78-2134 78 days |
| 38489 |
Jun2M author:Jun2M |
feat(Topology/Algebra/InfiniteSum): Generalize ENNReal lemmas |
This PR generalizes many theorems in Topology/Algebra/InfiniteSum/ENNReal.lean from `ENNREal` to any type that satisfies a list of order-related instances, mostly
`[CommMonoid α] [CompleteLattice α] [CanonicallyOrderedMul α] [TopologicalSpace α] [SupConvergenceClass α]`
Deprecation of the original `ENNReal` lemmas are done in the next PR: #38193.
Related Zulip thread: [#Is there code for X? > Summing `ENat`s without topology](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Summing.20.60ENat.60s.20without.20topology/with/588756615)
---
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|
t-topology |
239/5 |
Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/MeasureTheory/OuterMeasure/OfFunction.lean,Mathlib/Probability/ProbabilityMassFunction/Monad.lean,Mathlib/Topology/Algebra/InfiniteSum/Basic.lean,Mathlib/Topology/Algebra/InfiniteSum/ENNReal.lean,Mathlib/Topology/Algebra/InfiniteSum/Order.lean |
6 |
11 |
['Jun2M', 'SnirBroshi', 'github-actions', 'j-loreaux', 'wwylele'] |
nobody |
8-18826 8 days ago |
24-3893 24 days ago |
105-55730 105 days |
| 42138 |
mitchell-horner author:mitchell-horner |
feat(Combinatorics/SimpleGraph): copies into `⊤` and containment in the complete graph, and replace `α`,`β`,`γ` with `V`,`W`,`X`, etc |
Add copy constructors mirroring the existing `Copy.bot` API. Also replaces `α`,`β`,`γ` with `V`,`W`,`X`, etc. throughout the file.
---
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|
t-combinatorics |
100/80 |
Mathlib/Combinatorics/SimpleGraph/Copy.lean |
1 |
7 |
['SnirBroshi', 'github-actions', 'mitchell-horner', 'vlad902'] |
nobody |
8-17717 8 days ago |
12-13673 12 days ago |
12-13456 12 days |
| 33664 |
ooovi author:ooovi |
feat(Geometry/Convex/Cone/Pointed): face lattice of pointed cones |
- Define PointedCone.IsFaceOf, for a pointed cone being a face of another pointed cone.
- Prove some basic properties, that faces are extreme sets of their cone, and how they behave under intersection, map and product operations.
- Define `Face` by bundling the `IsFaceOf` structure, and show the complete lattice structure on it.
- Prove that taking the product of two faces is an order isomorphism.
Co-authored-by: Martin Winter
---
- [x] depends on: #33780 for the definition of the lineal space
- [x] depends on: #39185 for `isFaceOf`
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t-convex-geometry
maintainer-merge
|
202/0 |
Mathlib.lean,Mathlib/Geometry/Convex/Cone/Face/Lattice.lean |
2 |
205 |
['YaelDillies', 'eric-wieser', 'github-actions', 'martinwintermath', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'ooovi', 'vihdzp'] |
nobody |
8-15422 8 days ago |
19-23744 19 days ago |
25-18496 25 days |
| 41814 |
JovanGerb author:JovanGerb |
fix(CategoryTheory/Limits/VanKampen): backport fix for lean#8883 |
This PR contains the fix that I had to make to get https://github.com/leanprover/lean4/pull/8883 working. When looking into this, I had concluded that the original proof should not have worked in the first place.
This was the only such failure that was present in mathlib.
I think having this fix will be helpful when work on the unification performance issue is resumed.
---
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|
t-category-theory
maintainer-merge
|
1/1 |
Mathlib/CategoryTheory/Limits/VanKampen.lean |
1 |
3 |
['github-actions', 'grunweg'] |
nobody |
8-14554 8 days ago |
23-12897 23 days ago |
23-12680 23 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 |
157/0 |
Mathlib.lean,Mathlib/Geometry/Euclidean/Sphere/PolePolar.lean |
2 |
19 |
['Parcly-Taxel', 'YaelDillies', 'github-actions', 'jsm28', 'kim-em', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'wwylele'] |
nobody |
8-12761 8 days ago |
8-19690 8 days ago |
133-77119 133 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 |
8-10969 8 days ago |
8-11567 8 days ago |
46-68401 46 days |
| 42157 |
sdflkjssl author:sdflkjssl |
feat(LinearAlgebra/Matrix): add the generalized E-type Cartan matrix family |
This PR adds a generalized family `CartanMatrix.E n`, obtained by continuing the Dynkin-diagram pattern of the exceptional matrices E₆, E₇, and E₈.
For `n ≥ 3`, it proves the uniform determinant formula:
```lean
theorem E_det {n : ℕ} (hn : 3 ≤ n) : (E n).det = 9 - (n : ℤ)
```
## Public API
- `CartanMatrix.E (n : ℕ)` is the generalized E-type Cartan matrix.
- `CartanMatrix.E_det` gives its determinant for `n ≥ 3`.
- `CartanMatrix.E_six_eq`, `CartanMatrix.E_seven_eq`, and `CartanMatrix.E_eight_eq` identify `E 6`, `E 7`, and `E 8` with the usual explicit matrices.
The generalized family is the canonical definition. The former constants `CartanMatrix.E₆`, `CartanMatrix.E₇`, and `CartanMatrix.E₈` are retained as deprecated abbreviations for `E 6`, `E 7`, and `E 8` to preserve compatibility. The existing theorem names such as `E₆_diag`, `E₆_det`, and `isSimplyLaced_E₆` are retained, but their statements use `E 6`; similarly for E₇ and E₈.
The downstream definitions `LieAlgebra.e₆`, `LieAlgebra.e₇`, and `LieAlgebra.e₈` in `SerreConstruction.lean` now use `CartanMatrix.E 6`, `CartanMatrix.E 7`, and `CartanMatrix.E 8`.
The fixed-size determinant proofs introduced in #42119 continue to use `norm_det` after rewriting with the corresponding explicit-matrix equality lemmas.
## Proof outline
After reindexing by `Fin.revPerm`, passing from `E n` to `E (n + 1)` amounts to adjoining a leaf to the beginning of a path. Laplace expansion first along the new row and then along the resulting sparse column gives the recurrence
```text
dₙ₊₂ = 2dₙ₊₁ - dₙ.
```
The initial values are `d₃ = 6`, `d₄ = 5`, and `d₅ = 4`. A two-step induction gives `dₙ = 9 - n` for every `n ≥ 4`, while `n = 3` is handled by the initial computation.
The auxiliary definitions describing the reversed matrices and path extension are private.
## Review changes
The definition of `E` uses `Matrix.of`, consistently with the other infinite Cartan matrix families in this file. To accommodate `Matrix.of`, the broad `simp` calls in `reverseE_succ` are replaced by controlled `simp only` steps, since direct unfolding otherwise reaches the maximum recursion depth. This does not change the statement or the mathematical argument.
The separate definitions of `E₆`, `E₇`, and `E₈` are replaced by deprecated abbreviations for `E 6`, `E 7`, and `E 8`. The lemmas `E_six_eq`, `E_seven_eq`, and `E_eight_eq` identify these canonical matrices with their usual explicit forms.
## AI usage
Codex with GPT 5.6-Sol xhigh was used to assist implementing the Lean changes, which are then meticulously reviewed and adjusted by the author to align with mathlib4 styles before pushing. |
t-algebra
new-contributor
LLM-generated
label:t-algebra$ |
177/64 |
Mathlib/Algebra/Lie/SerreConstruction.lean,Mathlib/LinearAlgebra/Matrix/Cartan.lean |
2 |
9 |
['github-actions', 'ocfnash', 'sdflkjssl', 'wwylele'] |
nobody |
8-10814 8 days ago |
10-73419 10 days ago |
11-26846 11 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 |
8-10418 8 days ago |
17-74302 17 days ago |
17-74085 17 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'] |
nobody |
8-9904 8 days ago |
22-18620 22 days ago |
22-18507 22 days |
| 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'] |
nobody |
8-8271 8 days ago |
8-8915 8 days ago |
8-8698 8 days |
| 42281 |
grunweg author:grunweg |
chore: tweak API for modelWithCornersEuclideanHalfSpace |
- un-simp `modelWithCornersEuclideanHalfSpace_toFun`: in applications, this is not always the change you want to make.
- instead, add an _apply lemma (and make that simp); that's much better
- add `modelWithCornersEuclideanHalfSpace_symm_apply_of_le`, a more useful version of `modelWithCornersEuclideanHalfSpace_symm_apply`. It cannot be used to golf proofs easily, but it's a *much* more useful rewrite lemma.
- add analogous lemmas for `modelWithCornersEuclideanQuadrant`
Inspired by questions arising in `scholzhannah`'s master's thesis.
---
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t-differential-geometry
maintainer-merge
|
23/1 |
Mathlib/Geometry/Manifold/Instances/Real.lean |
1 |
10 |
['github-actions', 'grunweg', 'scholzhannah'] |
scholzhannah assignee:scholzhannah |
8-1928 8 days ago |
8-12593 8 days ago |
9-9160 9 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 |
7-71854 7 days ago |
7-73629 7 days ago |
7-74622 7 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 |
7-68820 7 days ago |
7-68820 7 days ago |
7-71498 7 days |
| 40925 |
JovanGerb author:JovanGerb |
chore(CategoryTheory/Functor/Category): don't expose `NatTrans.hcomp` |
This PR hides the definition of `NatTrans.hcomp`, because it has two equally sensible possible definitions. As a result, we can get rid of the `to_dual_insert_cast`. `simps` doesn't work for non-exposed definition, so `hcomp_app` is proved separately, and its dual `hcomp_app'` is added.
Note: some proofs break, because the `dsimp` set changes, due to the definition not being exposed. This is a bit unfortunate. There was some discussion on Zulip about changing `dsimp` for category theory into a simp set, which would fix this problem, because we could then add `hcomp_app` to this set.
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|
maintainer-merge
tech debt
|
31/17 |
Mathlib/Algebra/Homology/HomologicalComplex.lean,Mathlib/AlgebraicTopology/DoldKan/NCompGamma.lean,Mathlib/AlgebraicTopology/DoldKan/PInfty.lean,Mathlib/CategoryTheory/Functor/Category.lean,Mathlib/CategoryTheory/Monoidal/Action/End.lean,Mathlib/CategoryTheory/Monoidal/End.lean,Mathlib/CategoryTheory/Triangulated/TStructure/SpectralObject.lean,Mathlib/CategoryTheory/Types/Basic.lean |
8 |
20 |
['JovanGerb', 'github-actions', 'grunweg', 'leanprover-radar', 'mathlib-merge-conflicts', 'riccardobrasca'] |
nobody |
7-66786 7 days ago |
7-67750 7 days ago |
45-36831 45 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 |
7-66776 7 days ago |
7-69876 7 days ago |
46-56590 46 days |
| 38534 |
AlexeyMilovanov author:AlexeyMilovanov |
refactor(Computability): bundle PFun into a structure with FunLike instance |
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
|
546/486 |
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 |
40 |
['AlexeyMilovanov', 'JovanGerb', 'YaelDillies', 'dagurtomas', 'github-actions', 'j-loreaux', 'mathlib-bors', 'mathlib-merge-conflicts'] |
YaelDillies assignee:YaelDillies |
7-64409 7 days ago |
7-64409 7 days ago |
77-59598 77 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 |
7-63408 7 days ago |
34-53203 34 days ago |
34-52987 34 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 |
7-61565 7 days ago |
7-83795 7 days ago |
13-60603 13 days |
| 42296 |
xroblot author:xroblot |
feat(Algebra/Ring/Int/Parity): add Int.sq_emod_four and relocate square-mod-four lemma |
Add `Int.sq_emod_four : b ^ 2 % 4 = b % 2`, and move the existing `Int.sq_mod_four_eq_one_of_odd` and `(Nat/Int).eight_dvd_sq_sub_one_of_odd` from `NumberTheory.Multiplicity` to the basic `Parity` files, their natural home.
|
|
16/18 |
Mathlib/Algebra/Ring/Int/Parity.lean,Mathlib/Algebra/Ring/Parity.lean,Mathlib/NumberTheory/Multiplicity.lean |
3 |
4 |
['github-actions', 'themathqueen', 'xroblot'] |
nobody |
7-57579 7 days ago |
8-33313 8 days ago |
8-33390 8 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$ |
405/0 |
Mathlib.lean,Mathlib/LinearAlgebra/AffineSpace/Homogenization.lean,docs/references.bib |
3 |
27 |
['eric-wieser', 'gasparattila', 'github-actions', 'themathqueen'] |
mattrobball assignee:mattrobball |
7-55883 7 days ago |
45-79931 45 days ago |
85-23705 85 days |
| 41190 |
joelriou author:joelriou |
feat(CategoryTheory/Presentable): functors which preserve κ-presentable objects |
---
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|
t-category-theory |
62/1 |
Mathlib.lean,Mathlib/CategoryTheory/Presentable/Basic.lean,Mathlib/CategoryTheory/Presentable/PreservesCardinalPresentable.lean |
3 |
3 |
['github-actions', 'smorel394'] |
robin-carlier assignee:robin-carlier |
7-55882 7 days ago |
39-23309 39 days ago |
39-23092 39 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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|
t-number-theory
LLM-generated
sphere-packing
|
26/0 |
Mathlib/NumberTheory/ModularForms/EisensteinSeries/E2/Transform.lean |
1 |
1 |
['github-actions'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
7-55881 7 days ago |
10-51734 10 days ago |
10-51517 10 days |
| 42308 |
Scarlett-le author:Scarlett-le |
feat(Geometry/Euclidean/Sphere/SecondInter): add secondInter difference lemmas |
This PR adds formulas for the difference and distance between the values of
`Sphere.secondInter` associated with two sphere centers and a common base point
and direction.
The general statements do not require the direction to have norm one. Convenient
unit-direction corollaries are provided as well:
- `Sphere.secondInter_vsub_secondInter`
- `Sphere.secondInter_vsub_secondInter_of_norm_eq_one`
- `Sphere.dist_secondInter_secondInter`
- `Sphere.dist_secondInter_secondInter_of_norm_eq_one`
The results describe how the second intersection changes when the sphere center
is changed, and provide both vector-valued and distance formulations. |
t-euclidean-geometry |
31/0 |
Mathlib/Geometry/Euclidean/Sphere/SecondInter.lean |
1 |
1 |
['github-actions', 'wwylele'] |
jsm28 assignee:jsm28 |
7-55880 7 days ago |
8-1277 8 days ago |
8-1060 8 days |
| 41792 |
JovanGerb author:JovanGerb |
chore(Order/CompleteBooleanAlgebra): use `to_dual` |
This PR uses `to_dual` in `Mathlib/Order/CompleteBooleanAlgebra`.
- `Frame.mk` and `Coframe.mk` are annoyingly not dual to eachother due to the way in which `GeneralizedHeytingAlgebra` and `GeneralizedCoheytingAlgebra` are not dual to eachother.
- The `MinimalAxioms` structures have been refactored into a more natural form. Firstly, they should not be classes since they should not be used in type class search. Additionally, instead of extending `CompleteLattice`, they now take it as a parameter, so that we can easily talk about the order operations. As a result, the `MinimalAxioms` structures live in `Prop`. Some lemmas about `MinimalAxioms` have been marked `private`, since these are not meant to be used anywhere else.
---
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|
|
131/232 |
Mathlib/Combinatorics/SimpleGraph/Subgraph.lean,Mathlib/Data/Fintype/Order.lean,Mathlib/Order/CompleteBooleanAlgebra.lean,Mathlib/Order/CompleteLattice/Defs.lean,Mathlib/Order/Nucleus.lean,Mathlib/Order/Sublocale.lean,Mathlib/Order/UpperLower/CompleteLattice.lean,Mathlib/Tactic/Translate/ToDual.lean,Mathlib/Topology/Sets/Closeds.lean,Mathlib/Topology/Sets/Opens.lean |
10 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
7-49568 7 days ago |
7-52687 7 days ago |
9-42796 9 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 |
7-48327 7 days ago |
7-55343 7 days ago |
7-55126 7 days |
| 38965 |
joelriou author:joelriou |
feat(AlgebraicTopology/SimplicialSet/Homology): extension of scalars |
If `X` is a simplicial set, `R₁ →+* R₂` is a morphism of commutative rings, and `M₁` is a `R₁`-module, then the chain complex of `R₂`-modules of `X` with coefficients in `R₂ ⊗[R₁] M₁` identifies to the extensions of scalars of the chain complex of `R₁`-modules of `X` with coefficients in `M₁`. In this file, we obtain a formulation of this result where the extension of scalars functor `ModuleCat R₁ ⥤ ModuleCat R₂` is replaced by an arbitrary functor `F : C ⥤ D` which commutes with coproducts.
(As `SimplicialObject` is now an `abbrev` for a category of functors, `SimplicialObject.whiskering` is also made an abbrev here.)
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|
t-algebraic-topology |
140/36 |
Mathlib.lean,Mathlib/Algebra/Homology/Additive.lean,Mathlib/Algebra/Homology/HomologicalComplex.lean,Mathlib/AlgebraicTopology/AlternatingFaceMapComplex.lean,Mathlib/AlgebraicTopology/SimplicialObject/Basic.lean,Mathlib/AlgebraicTopology/SimplicialSet/Homology/MapHomologicalComplex.lean,Mathlib/AlgebraicTopology/SingularHomology/Basic.lean,Mathlib/CategoryTheory/Limits/Preserves/SigmaConst.lean,Mathlib/CategoryTheory/Limits/Shapes/Products.lean |
9 |
12 |
['dagurtomas', 'github-actions', 'joelriou', 'mathlib-merge-conflicts', 'robin-carlier'] |
dagurtomas assignee:dagurtomas |
7-47578 7 days ago |
7-48840 7 days ago |
46-18160 46 days |
| 42310 |
themathqueen author:themathqueen |
feat(Analysis/Convex/Strict/Extreme): `star (extremePoints 𝕜 s) = extremePoints 𝕜 (star s)` |
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Or can go in a new file `Convex/StarModule` or something?
~~Note that the proofs can and will be simplified using `image_segment`, `image_openSegment` and `image_extremePoints` after #42311.~~ Nevermind, I don't think so.
[](https://gitpod.io/from-referrer/)
|
t-analysis |
30/0 |
Mathlib/Analysis/Convex/Extreme.lean |
1 |
1 |
['github-actions'] |
nobody |
7-43548 7 days ago |
7-79065 7 days ago |
7-78848 7 days |
| 42320 |
joelriou author:joelriou |
feat(CategoryTheory/Galois): full subcategories |
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[](https://gitpod.io/from-referrer/)
|
t-category-theory |
97/3 |
Mathlib.lean,Mathlib/CategoryTheory/Galois/Basic.lean,Mathlib/CategoryTheory/Galois/Examples.lean,Mathlib/CategoryTheory/Galois/FullSubcategory.lean |
4 |
1 |
['github-actions'] |
nobody |
7-38823 7 days ago |
7-39425 7 days ago |
7-39208 7 days |
| 40013 |
WilliamCoram author:WilliamCoram |
feat: define bounded sets and power bounded elements |
We define bounded sets, so that we can define power bounded elements in a topological ring. Using this we generalise some notions of topoligcally nilpotent elements and define a residue field.
AI usage: some proofs were initially generated with Claude code before being cleaned and/or rewritten by hand.
---
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[](https://gitpod.io/from-referrer/)
|
t-topology
LLM-generated
large-import
|
431/5 |
Mathlib.lean,Mathlib/Topology/Algebra/Bounded.lean,Mathlib/Topology/Algebra/PowerBounded.lean,Mathlib/Topology/Algebra/TopologicallyNilpotent.lean |
4 |
16 |
['ADedecker', 'CBirkbeck', 'WilliamCoram', 'github-actions', 'mathlib-merge-conflicts', 'sfingali', 'vihdzp', 'wwylele'] |
nobody |
7-31239 7 days ago |
47-6024 47 days ago |
62-74334 62 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 |
2 |
['github-actions'] |
nobody |
7-30229 7 days ago |
7-60564 7 days ago |
7-60893 7 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 |
7-30206 7 days ago |
7-60669 7 days ago |
7-61121 7 days |
| 42323 |
joelriou author:joelriou |
feat(Algebra/Homology): homotopy equivalences in degreewise split short exact sequences |
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|
t-category-theory
t-algebra
label:t-algebra$ |
150/5 |
Mathlib.lean,Mathlib/Algebra/Homology/Embedding/Extend.lean,Mathlib/Algebra/Homology/Embedding/Splitting.lean,Mathlib/Algebra/Homology/HomotopyCategory/ChainComplex.lean,Mathlib/Algebra/Homology/HomotopyCategory/DegreewiseSplit.lean,Mathlib/Algebra/Homology/ShortComplex/Exact.lean |
6 |
1 |
['github-actions'] |
nobody |
7-30036 7 days ago |
7-30766 7 days ago |
7-30549 7 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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[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
17/0 |
Mathlib/RingTheory/Ideal/Height.lean |
1 |
1 |
['github-actions'] |
nobody |
7-21843 7 days ago |
43-15905 43 days ago |
43-16616 43 days |
| 41074 |
vlad902 author:vlad902 |
feat(RingTheory): a ring is nontrivial iff it has nontrivial Krull dimension |
---
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|
t-ring-theory |
15/4 |
Mathlib/Order/WithBot.lean,Mathlib/RingTheory/KrullDimension/Basic.lean |
2 |
4 |
['github-actions', 'tb65536', 'vlad902'] |
nobody |
7-21266 7 days ago |
43-15655 43 days ago |
43-15438 43 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
|
152/0 |
Counterexamples.lean,Counterexamples/Omega1Space.lean |
2 |
67 |
['FrankieNC', 'felixpernegger', 'github-actions', 'grunweg', 'j-loreaux', 'juanjomadrigal', 'plp127', 'vihdzp'] |
nobody |
7-20826 7 days ago |
7-20826 7 days ago |
15-44784 15 days |
| 42329 |
dependabot author:dependabot |
chore(deps): bump the actions-version-updates group across 1 directory with 11 updates |
Bumps the actions-version-updates group with 11 updates in the /.github/workflows directory:
| Package | From | To |
| --- | --- | --- |
| [actions/checkout](https://github.com/actions/checkout) | `6.0.3` | `7.0.1` |
| [actions/setup-python](https://github.com/actions/setup-python) | `6.3.0` | `7.0.0` |
| [reviewdog/action-actionlint](https://github.com/reviewdog/action-actionlint) | `1.72.0` | `1.73.0` |
| [GrantBirki/comment](https://github.com/grantbirki/comment) | `3.0.0` | `3.0.3` |
| [marocchino/sticky-pull-request-comment](https://github.com/marocchino/sticky-pull-request-comment) | `3.0.4` | `3.0.5` |
| [zulip/github-actions-zulip/send-message](https://github.com/zulip/github-actions-zulip) | `2.0.1` | `2.0.2` |
| [docker/login-action](https://github.com/docker/login-action) | `4.2.0` | `4.6.0` |
| [docker/metadata-action](https://github.com/docker/metadata-action) | `6.1.0` | `6.2.0` |
| [docker/build-push-action](https://github.com/docker/build-push-action) | `7.2.0` | `7.3.0` |
| [corentinmusard/otel-cicd-action](https://github.com/corentinmusard/otel-cicd-action) | `4.0.1` | `4.1.0` |
| [softprops/action-gh-release](https://github.com/softprops/action-gh-release) | `3.0.1` | `3.0.2` |
Updates `actions/checkout` from 6.0.3 to 7.0.1
<details>
<summary>Release notes</summary>
<p><em>Sourced from <a href="https://github.com/actions/checkout/releases">actions/checkout's releases</a>.</em></p>
<blockquote>
<h2>v7.0.1</h2>
<h2>What's Changed</h2>
<ul>
<li>skip running unsafe pr check if input is default by <a href="https://github.com/aiqiaoy"><code>@aiqiaoy</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/2518">actions/checkout#2518</a></li>
<li>trim only ascii whitespace for branch by <a href="https://github.com/aiqiaoy"><code>@aiqiaoy</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/2521">actions/checkout#2521</a></li>
<li>escape values passed to --unset by <a href="https://github.com/aiqiaoy"><code>@aiqiaoy</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/2530">actions/checkout#2530</a></li>
<li>Various dependency updates</li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/actions/checkout/compare/v7...v7.0.1">https://github.com/actions/checkout/compare/v7...v7.0.1</a></p>
<h2>v7.0.0</h2>
<h2>What's Changed</h2>
<ul>
<li>block checking out fork pr for pull_request_target and workflow_run by <a href="https://github.com/aiqiaoy"><code>@aiqiaoy</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/2454">actions/checkout#2454</a></li>
<li>Bump actions/publish-immutable-action from 0.0.3 to 0.0.4 in the minor-actions-dependencies group across 1 directory by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/actions/checkout/pull/2458">actions/checkout#2458</a></li>
<li>Bump flatted from 3.3.1 to 3.4.2 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/actions/checkout/pull/2460">actions/checkout#2460</a></li>
<li>Bump js-yaml from 4.1.0 to 4.2.0 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/actions/checkout/pull/2461">actions/checkout#2461</a></li>
<li>Bump <code>@actions/core</code> and <code>@actions/tool-cache</code> and Remove uuid by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/actions/checkout/pull/2459">actions/checkout#2459</a></li>
<li>upgrade module to esm and update dependencies by <a href="https://github.com/aiqiaoy"><code>@aiqiaoy</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/2463">actions/checkout#2463</a></li>
<li>Bump the minor-npm-dependencies group across 1 directory with 3 updates by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/actions/checkout/pull/2462">actions/checkout#2462</a></li>
<li>getting ready for checkout v7 release by <a href="https://github.com/aiqiaoy"><code>@aiqiaoy</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/2464">actions/checkout#2464</a></li>
<li>update error wording by <a href="https://github.com/aiqiaoy"><code>@aiqiaoy</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/2467">actions/checkout#2467</a></li>
</ul>
<h2>New Contributors</h2>
<ul>
<li><a href="https://github.com/aiqiaoy"><code>@aiqiaoy</code></a> made their first contribution in <a href="https://redirect.github.com/actions/checkout/pull/2454">actions/checkout#2454</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/actions/checkout/compare/v6.0.3...v7.0.0">https://github.com/actions/checkout/compare/v6.0.3...v7.0.0</a></p>
<h2>v6.1.0</h2>
<h2>What's Changed</h2>
<ul>
<li><strong>[BREAKING]</strong> backport <code>allow-unsafe-pr-checkout</code> to v6 by <a href="https://github.com/aiqiaoy"><code>@aiqiaoy</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/2500">actions/checkout#2500</a></li>
<li>backport fixes to releases-v6 by <a href="https://github.com/aiqiaoy"><code>@aiqiaoy</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/2527">actions/checkout#2527</a></li>
</ul>
<p><a href="https://github.blog/changelog/2026-06-18-safer-pull_request_target-defaults-for-github-actions-checkout/">https://github.blog/changelog/2026-06-18-safer-pull_request_target-defaults-for-github-actions-checkout/</a> for more details about this breaking change</p>
<p><strong>Full Changelog</strong>: <a href="https://github.com/actions/checkout/compare/v6.0.3...v6.1.0">https://github.com/actions/checkout/compare/v6.0.3...v6.1.0</a></p>
</blockquote>
</details>
<details>
<summary>Changelog</summary>
<p><em>Sourced from <a href="https://github.com/actions/checkout/blob/main/CHANGELOG.md">actions/checkout's changelog</a>.</em></p>
<blockquote>
<h1>Changelog</h1>
<h2>v7.0.1</h2>
<ul>
<li>Skip running unsafe pr check if input is default by <a href="https://github.com/aiqiaoy"><code>@aiqiaoy</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/2518">actions/checkout#2518</a></li>
<li>Trim only ascii whitespace for branch by <a href="https://github.com/aiqiaoy"><code>@aiqiaoy</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/2521">actions/checkout#2521</a></li>
<li>Escape values passed to --unset by <a href="https://github.com/aiqiaoy"><code>@aiqiaoy</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/2530">actions/checkout#2530</a></li>
<li>Various dependency updates</li>
</ul>
<h2>v7.0.0</h2>
<ul>
<li>Block checking out fork PR for pull_request_target and workflow_run by <a href="https://github.com/aiqiaoy"><code>@aiqiaoy</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/2454">actions/checkout#2454</a></li>
<li>Various dependency updates</li>
</ul>
<h2>v6.0.3</h2>
<ul>
<li>Fix checkout init for SHA-256 repositories by <a href="https://github.com/yaananth"><code>@yaananth</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/2439">actions/checkout#2439</a></li>
<li>fix: expand merge commit SHA regex and add SHA-256 test cases by <a href="https://github.com/yaananth"><code>@yaananth</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/2414">actions/checkout#2414</a></li>
</ul>
<h2>v6.0.2</h2>
<ul>
<li>Fix tag handling: preserve annotations and explicit fetch-tags by <a href="https://github.com/ericsciple"><code>@ericsciple</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/2356">actions/checkout#2356</a></li>
</ul>
<h2>v6.0.1</h2>
<ul>
<li>Add worktree support for persist-credentials includeIf by <a href="https://github.com/ericsciple"><code>@ericsciple</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/2327">actions/checkout#2327</a></li>
</ul>
<h2>v6.0.0</h2>
<ul>
<li>Persist creds to a separate file by <a href="https://github.com/ericsciple"><code>@ericsciple</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/2286">actions/checkout#2286</a></li>
<li>Update README to include Node.js 24 support details and requirements by <a href="https://github.com/salmanmkc"><code>@salmanmkc</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/2248">actions/checkout#2248</a></li>
</ul>
<h2>v5.0.1</h2>
<ul>
<li>Port v6 cleanup to v5 by <a href="https://github.com/ericsciple"><code>@ericsciple</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/2301">actions/checkout#2301</a></li>
</ul>
<h2>v5.0.0</h2>
<ul>
<li>Update actions checkout to use node 24 by <a href="https://github.com/salmanmkc"><code>@salmanmkc</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/2226">actions/checkout#2226</a></li>
</ul>
<h2>v4.3.1</h2>
<ul>
<li>Port v6 cleanup to v4 by <a href="https://github.com/ericsciple"><code>@ericsciple</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/2305">actions/checkout#2305</a></li>
</ul>
<h2>v4.3.0</h2>
<ul>
<li>docs: update README.md by <a href="https://github.com/motss"><code>@motss</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/1971">actions/checkout#1971</a></li>
<li>Add internal repos for checking out multiple repositories by <a href="https://github.com/mouismail"><code>@mouismail</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/1977">actions/checkout#1977</a></li>
<li>Documentation update - add recommended permissions to Readme by <a href="https://github.com/benwells"><code>@benwells</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/2043">actions/checkout#2043</a></li>
<li>Adjust positioning of user email note and permissions heading by <a href="https://github.com/joshmgross"><code>@joshmgross</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/2044">actions/checkout#2044</a></li>
<li>Update README.md by <a href="https://github.com/nebuk89"><code>@nebuk89</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/2194">actions/checkout#2194</a></li>
<li>Update CODEOWNERS for actions by <a href="https://github.com/TingluoHuang"><code>@TingluoHuang</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/2224">actions/checkout#2224</a></li>
<li>Update package dependencies by <a href="https://github.com/salmanmkc"><code>@salmanmkc</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/2236">actions/checkout#2236</a></li>
</ul>
<h2>v4.2.2</h2>
<ul>
<li><code>url-helper.ts</code> now leverages well-known environment variables by <a href="https://github.com/jww3"><code>@jww3</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/1941">actions/checkout#1941</a></li>
<li>Expand unit test coverage for <code>isGhes</code> by <a href="https://github.com/jww3"><code>@jww3</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/1946">actions/checkout#1946</a></li>
</ul>
<h2>v4.2.1</h2>
<ul>
<li>Check out other refs/* by commit if provided, fall back to ref by <a href="https://github.com/orhantoy"><code>@orhantoy</code></a> in <a href="https://redirect.github.com/actions/checkout/pull/1924">actions/checkout#1924</a></li>
</ul>
<!-- raw HTML omitted -->
</blockquote>
<p>... (truncated)</p>
</details>
<details>
<summary>Commits</summary>
<ul>
<li><a href="https://github.com/actions/checkout/commit/3d3c42e5aac5ba805825da76410c181273ba90b1"><code>3d3c42e</code></a> prep v7.0.1 release (<a href="https://redirect.github.com/actions/checkout/issues/2531">#2531</a>)</li>
<li><a href="https://github.com/actions/checkout/commit/28802689a136bfcdb721715abd713740beecbe07"><code>2880268</code></a> escape values passed to --unset (<a href="https://redirect.github.com/actions/checkout/issues/2530">#2530</a>)</li>
<li><a href="https://github.com/actions/checkout/commit/12cd2235efa0937479335606d7c3ac9f6c0973b1"><code>12cd223</code></a> trim only ascii whitespace for branch (<a href="https://redirect.github.com/actions/checkout/issues/2521">#2521</a>)</li>
<li><a href="https://github.com/actions/checkout/commit/62661c4e71a304b2823ed026347b8d34c3eac541"><code>62661c4</code></a> skip running unsafe pr check if input is default (<a href="https://redirect.github.com/actions/checkout/issues/2518">#2518</a>)</li>
<li><a href="https://github.com/actions/checkout/commit/e8d4307400f9427dba7cb98e488d6ab85f1cec5f"><code>e8d4307</code></a> Bump the minor-actions-dependencies group with 2 updates (<a href="https://redirect.github.com/actions/checkout/issues/2499">#2499</a>)</li>
<li><a href="https://github.com/actions/checkout/commit/631c942040754b6e095e929c1677c07e10ed4f87"><code>631c942</code></a> eslint 9 (<a href="https://redirect.github.com/actions/checkout/issues/2474">#2474</a>)</li>
<li><a href="https://github.com/actions/checkout/commit/4f1f4aec02e41874fa0262ea8ff5172d7978ad1e"><code>4f1f4ae</code></a> Bump actions/upload-artifact from 4 to 7 (<a href="https://redirect.github.com/actions/checkout/issues/2476">#2476</a>)</li>
<li><a href="https://github.com/actions/checkout/commit/ba097532fb203f7e88c9c3c0b899b49469908a92"><code>ba09753</code></a> Bump actions/checkout from 6 to 7 (<a href="https://redirect.github.com/actions/checkout/issues/2488">#2488</a>)</li>
<li><a href="https://github.com/actions/checkout/commit/b9e0990d219a03df7633c93f6f005a8fecbcab22"><code>b9e0990</code></a> Bump docker/login-action from 3.3.0 to 4.2.0 (<a href="https://redirect.github.com/actions/checkout/issues/2479">#2479</a>)</li>
<li><a href="https://github.com/actions/checkout/commit/e8cb398be4a550817e382abf69e4c12c76fce1f2"><code>e8cb398</code></a> Bump docker/build-push-action from 6.5.0 to 7.2.0 (<a href="https://redirect.github.com/actions/checkout/issues/2478">#2478</a>)</li>
<li>Additional commits viewable in <a href="https://github.com/actions/checkout/compare/v6.0.3...3d3c42e5aac5ba805825da76410c181273ba90b1">compare view</a></li>
</ul>
</details>
<br />
Updates `actions/setup-python` from 6.3.0 to 7.0.0
<details>
<summary>Release notes</summary>
<p><em>Sourced from <a href="https://github.com/actions/setup-python/releases">actions/setup-python's releases</a>.</em></p>
<blockquote>
<h2>v7.0.0</h2>
<h2>What's Changed</h2>
<h3>Enhancements</h3>
<ul>
<li>Migrate to ESM and upgrade dependencies by <a href="https://github.com/priyagupta108"><code>@priyagupta108</code></a> in <a href="https://redirect.github.com/actions/setup-python/pull/1330">actions/setup-python#1330</a></li>
<li>Pin SHA commits and update docs with latest versions by <a href="https://github.com/HarithaVattikuti"><code>@HarithaVattikuti</code></a> in <a href="https://redirect.github.com/actions/setup-python/pull/1338">actions/setup-python#1338</a></li>
<li>Remove the pip-install input by <a href="https://github.com/gowridurgad"><code>@gowridurgad</code></a> in <a href="https://redirect.github.com/actions/setup-python/pull/1336">actions/setup-python#1336</a></li>
</ul>
<h3>Bug Fix</h3>
<ul>
<li>Fix to Classify stderr warning messages as warnings instead of errors in annotations by <a href="https://github.com/lmvysakh"><code>@lmvysakh</code></a> in <a href="https://redirect.github.com/actions/setup-python/pull/1335">actions/setup-python#1335</a></li>
<li>Validate and retry manifest fetch to prevent silent failures by <a href="https://github.com/priyagupta108"><code>@priyagupta108</code></a> in <a href="https://redirect.github.com/actions/setup-python/pull/1332">actions/setup-python#1332</a></li>
</ul>
<h3>Dependency Upgrade</h3>
<ul>
<li>Bump certifi from 2020.6.20 to 2024.7.4 in /<strong>tests</strong>/data by <a href="https://github.com/dependabot"><code>@dependabot</code></a> in <a href="https://redirect.github.com/actions/setup-python/pull/1328">actions/setup-python#1328</a></li>
<li>Remove EOL Python versions and Bumps numpy text fixture by <a href="https://github.com/priya-kinthali"><code>@priya-kinthali</code></a> in <a href="https://redirect.github.com/actions/setup-python/pull/1333">actions/setup-python#1333</a></li>
<li>Upgrade <code>@actions/cache</code> to 6.2.0 by <a href="https://github.com/philip-gai"><code>@philip-gai</code></a> in <a href="https://redirect.github.com/actions/setup-python/pull/1337">actions/setup-python#1337</a></li>
</ul>
<h2>New Contributors</h2>
<ul>
<li><a href="https://github.com/lmvysakh"><code>@lmvysakh</code></a> made their first contribution in <a href="https://redirect.github.com/actions/setup-python/pull/1335">actions/setup-python#1335</a></li>
<li><a href="https://github.com/philip-gai"><code>@philip-gai</code></a> made their first contribution in <a href="https://redirect.github.com/actions/setup-python/pull/1337">actions/setup-python#1337</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/actions/setup-python/compare/v6...v7.0.0">https://github.com/actions/setup-python/compare/v6...v7.0.0</a></p>
</blockquote>
</details>
<details>
<summary>Commits</summary>
<ul>
<li><a href="https://github.com/actions/setup-python/commit/5fda3b95a4ea91299a34e894583c3862153e4b97"><code>5fda3b9</code></a> Pin SHA commits and update docs with latest versions (<a href="https://redirect.github.com/actions/setup-python/issues/1338">#1338</a>)</li>
<li><a href="https://github.com/actions/setup-python/commit/4ab7e95f05e168b4356aebde89dd84f59c283d8e"><code>4ab7e95</code></a> Merge pull request <a href="https://redirect.github.com/actions/setup-python/issues/1337">#1337</a> from actions/philip-gai/bump-actions-cache-6-2-0</li>
<li><a href="https://github.com/actions/setup-python/commit/0f3a009f475dbea83c0371cd85d099690fee8c5c"><code>0f3a009</code></a> Remove the pip-install input (<a href="https://redirect.github.com/actions/setup-python/issues/1336">#1336</a>)</li>
<li><a href="https://github.com/actions/setup-python/commit/f8cf4291c8b8e273ddd26e569454615c7315d932"><code>f8cf429</code></a> Migrate to ESM and upgrade dependencies (<a href="https://redirect.github.com/actions/setup-python/issues/1330">#1330</a>)</li>
<li><a href="https://github.com/actions/setup-python/commit/54baeea5b34417d10a7479663a23cca53ea209b5"><code>54baeea</code></a> Validate and retry manifest fetch to prevent silent failures (<a href="https://redirect.github.com/actions/setup-python/issues/1332">#1332</a>)</li>
<li><a href="https://github.com/actions/setup-python/commit/c7092773a316760f4ecfe498e4af668a4dafeac5"><code>c709277</code></a> Annotation code fix (<a href="https://redirect.github.com/actions/setup-python/issues/1335">#1335</a>)</li>
<li><a href="https://github.com/actions/setup-python/commit/6849080452e69b330395e8a6d23cf90f56d76a1a"><code>6849080</code></a> remove EOL Python versions and Bumps numpy text fixture (<a href="https://redirect.github.com/actions/setup-python/issues/1333">#1333</a>)</li>
<li><a href="https://github.com/actions/setup-python/commit/0903b469fbf4441aadfe4f4b249dc5b1fba3a73e"><code>0903b46</code></a> Bump certifi from 2020.6.20 to 2024.7.4 in /<strong>tests</strong>/data (<a href="https://redirect.github.com/actions/setup-python/issues/1328">#1328</a>)</li>
<li>See full diff in <a href="https://github.com/actions/setup-python/compare/ece7cb06caefa5fff74198d8649806c4678c61a1...5fda3b95a4ea91299a34e894583c3862153e4b97">compare view</a></li>
</ul>
</details>
<br />
Updates `reviewdog/action-actionlint` from 1.72.0 to 1.73.0
<details>
<summary>Release notes</summary>
<p><em>Sourced from <a href="https://github.com/reviewdog/action-actionlint/releases">reviewdog/action-actionlint's releases</a>.</em></p>
<blockquote>
<h2>Release v1.73.0</h2>
<h2>What's Changed</h2>
<ul>
<li>feat: add support for running this action without docker by <a href="https://github.com/IlyaGulya"><code>@IlyaGulya</code></a> in <a href="https://redirect.github.com/reviewdog/action-actionlint/pull/156">reviewdog/action-actionlint#156</a></li>
<li>Install pyflakes to composite action by <a href="https://github.com/shogo82148"><code>@shogo82148</code></a> in <a href="https://redirect.github.com/reviewdog/action-actionlint/pull/212">reviewdog/action-actionlint#212</a></li>
<li>Install shellcheck to dockerless by <a href="https://github.com/shogo82148"><code>@shogo82148</code></a> in <a href="https://redirect.github.com/reviewdog/action-actionlint/pull/213">reviewdog/action-actionlint#213</a></li>
<li>pin the version of pyflakes by <a href="https://github.com/shogo82148"><code>@shogo82148</code></a> in <a href="https://redirect.github.com/reviewdog/action-actionlint/pull/214">reviewdog/action-actionlint#214</a></li>
<li>feat: consolidate installation into a dedicated script by <a href="https://github.com/shogo82148"><code>@shogo82148</code></a> in <a href="https://redirect.github.com/reviewdog/action-actionlint/pull/215">reviewdog/action-actionlint#215</a></li>
<li>chore(deps): update reviewdog to 0.21.0 by <a href="https://github.com/github-actions"><code>@github-actions</code></a>[bot] in <a href="https://redirect.github.com/reviewdog/action-actionlint/pull/216">reviewdog/action-actionlint#216</a></li>
<li>chore(deps): update actionlint to 1.7.12 by <a href="https://github.com/github-actions"><code>@github-actions</code></a>[bot] in <a href="https://redirect.github.com/reviewdog/action-actionlint/pull/217">reviewdog/action-actionlint#217</a></li>
<li>fix: correct version_name typo in depup workflow for shellcheck by <a href="https://github.com/shogo82148"><code>@shogo82148</code></a> in <a href="https://redirect.github.com/reviewdog/action-actionlint/pull/218">reviewdog/action-actionlint#218</a></li>
<li>chore(deps): update shellcheck to 0.11.0 by <a href="https://github.com/github-actions"><code>@github-actions</code></a>[bot] in <a href="https://redirect.github.com/reviewdog/action-actionlint/pull/219">reviewdog/action-actionlint#219</a></li>
<li>GitHub native release note by <a href="https://github.com/shogo82148"><code>@shogo82148</code></a> in <a href="https://redirect.github.com/reviewdog/action-actionlint/pull/220">reviewdog/action-actionlint#220</a></li>
<li>chore: update download URLs for actionlint and reviewdog to specific commits by <a href="https://github.com/shogo82148"><code>@shogo82148</code></a> in <a href="https://redirect.github.com/reviewdog/action-actionlint/pull/221">reviewdog/action-actionlint#221</a></li>
</ul>
<h2>New Contributors</h2>
<ul>
<li><a href="https://github.com/IlyaGulya"><code>@IlyaGulya</code></a> made their first contribution in <a href="https://redirect.github.com/reviewdog/action-actionlint/pull/156">reviewdog/action-actionlint#156</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/reviewdog/action-actionlint/compare/v1.72.1...v1.73.0">https://github.com/reviewdog/action-actionlint/compare/v1.72.1...v1.73.0</a></p>
<h2>Release v1.72.1</h2>
<p>v1.72.1: PR <a href="https://redirect.github.com/reviewdog/action-actionlint/issues/211">#211</a> - fix: include digest in Docker image reference for action.yml</p>
</blockquote>
</details>
<details>
<summary>Commits</summary>
<ul>
<li><a href="https://github.com/reviewdog/action-actionlint/commit/50842263c20a7c46bd0065b9e624d3c569db061e"><code>5084226</code></a> bump v1.73.0</li>
<li><a href="https://github.com/reviewdog/action-actionlint/commit/70f2164c5922dc98a25d3a1c865e11db03ff1aeb"><code>70f2164</code></a> Merge branch 'main' into releases/v1</li>
<li><a href="https://github.com/reviewdog/action-actionlint/commit/a499b807aed4af40b8f2f7b885b9e38c469a945c"><code>a499b80</code></a> Merge pull request <a href="https://redirect.github.com/reviewdog/action-actionlint/issues/221">#221</a> from reviewdog/pin-install-script</li>
<li><a href="https://github.com/reviewdog/action-actionlint/commit/b9330b90ccb72273b2a50dec3d45667e5a835b3c"><code>b9330b9</code></a> chore: update download URLs for actionlint and reviewdog to specific commits</li>
<li><a href="https://github.com/reviewdog/action-actionlint/commit/e32ed5474aa46bda2bf7d69638552c72a8203cee"><code>e32ed54</code></a> Merge pull request <a href="https://redirect.github.com/reviewdog/action-actionlint/issues/220">#220</a> from reviewdog/github-native-release-note</li>
<li><a href="https://github.com/reviewdog/action-actionlint/commit/ae14c286ba0c506306f84b41a2fecdcd0bab8b32"><code>ae14c28</code></a> chore: enable generation of release notes in the release workflow</li>
<li><a href="https://github.com/reviewdog/action-actionlint/commit/992e9348c56e5da35ca5d00a468ae2d2e7ae1b9d"><code>992e934</code></a> chore: remove tag trigger from release workflow</li>
<li><a href="https://github.com/reviewdog/action-actionlint/commit/f9adc3afc1750064b3fcdd9a301f4371408f7472"><code>f9adc3a</code></a> Merge pull request <a href="https://redirect.github.com/reviewdog/action-actionlint/issues/219">#219</a> from reviewdog/depup/shellcheck</li>
<li><a href="https://github.com/reviewdog/action-actionlint/commit/82955410a240babb73811b5087edd3bca3437cf8"><code>8295541</code></a> chore(deps): update shellcheck to 0.11.0</li>
<li><a href="https://github.com/reviewdog/action-actionlint/commit/f96c3f1ecdecc12c278e12bded6228bdc3b5eca6"><code>f96c3f1</code></a> Merge pull request <a href="https://redirect.github.com/reviewdog/action-actionlint/issues/218">#218</a> from reviewdog/correct-version-name-typo</li>
<li>Additional commits viewable in <a href="https://github.com/reviewdog/action-actionlint/compare/6fb7acc99f4a1008869fa8a0f09cfca740837d9d...50842263c20a7c46bd0065b9e624d3c569db061e">compare view</a></li>
</ul>
</details>
<br />
Updates `GrantBirki/comment` from 3.0.0 to 3.0.3
<details>
<summary>Release notes</summary>
<p><em>Sourced from <a href="https://github.com/grantbirki/comment/releases">GrantBirki/comment's releases</a>.</em></p>
<blockquote>
<h2>v3.0.3</h2>
<h2>What's Changed</h2>
<ul>
<li>Add release bundle attestations by <a href="https://github.com/GrantBirki"><code>@GrantBirki</code></a> in <a href="https://redirect.github.com/GrantBirki/comment/pull/48">GrantBirki/comment#48</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/GrantBirki/comment/compare/v3...v3.0.3">https://github.com/GrantBirki/comment/compare/v3...v3.0.3</a></p>
<h2>v3.0.2</h2>
<h2>What's Changed</h2>
<ul>
<li>Bump version to v3.0.2 by <a href="https://github.com/GrantBirki"><code>@GrantBirki</code></a> in <a href="https://redirect.github.com/GrantBirki/comment/pull/47">GrantBirki/comment#47</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/GrantBirki/comment/compare/v3...v3.0.2">https://github.com/GrantBirki/comment/compare/v3...v3.0.2</a></p>
<h2>v3.0.1</h2>
<h2>What's Changed</h2>
<ul>
<li>Add dependency cooldowns by <a href="https://github.com/GrantBirki"><code>@GrantBirki</code></a> in <a href="https://redirect.github.com/GrantBirki/comment/pull/37">GrantBirki/comment#37</a></li>
<li>Bump actions/upload-artifact from 6.0.0 to 7.0.0 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/GrantBirki/comment/pull/38">GrantBirki/comment#38</a></li>
<li>Bump actions/upload-artifact from 7.0.0 to 7.0.1 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/GrantBirki/comment/pull/39">GrantBirki/comment#39</a></li>
<li>Bump esbuild from 0.27.7 to 0.28.1 in the npm_and_yarn group across 1 directory by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/GrantBirki/comment/pull/40">GrantBirki/comment#40</a></li>
<li>Fix template variable documentation by <a href="https://github.com/GrantBirki"><code>@GrantBirki</code></a> in <a href="https://redirect.github.com/GrantBirki/comment/pull/41">GrantBirki/comment#41</a></li>
<li>Reduce npm dependency surface by <a href="https://github.com/GrantBirki"><code>@GrantBirki</code></a> in <a href="https://redirect.github.com/GrantBirki/comment/pull/45">GrantBirki/comment#45</a></li>
<li>Add versioned release automation by <a href="https://github.com/GrantBirki"><code>@GrantBirki</code></a> in <a href="https://redirect.github.com/GrantBirki/comment/pull/46">GrantBirki/comment#46</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/GrantBirki/comment/compare/v3...v3.0.1">https://github.com/GrantBirki/comment/compare/v3...v3.0.1</a></p>
</blockquote>
</details>
<details>
<summary>Commits</summary>
<ul>
<li><a href="https://github.com/GrantBirki/comment/commit/937820f3623fd0e300294bcc64ac7577fc0ad4cc"><code>937820f</code></a> Merge pull request <a href="https://redirect.github.com/grantbirki/comment/issues/48">#48</a> from GrantBirki/add-release-attestations</li>
<li><a href="https://github.com/GrantBirki/comment/commit/56617234d3c8c5bcb92b2ac851cc4925e3034254"><code>5661723</code></a> Bump version to v3.0.3</li>
<li><a href="https://github.com/GrantBirki/comment/commit/245ea8def6a8b8cd42098a154250be7098f4c97f"><code>245ea8d</code></a> Add release bundle attestations</li>
<li><a href="https://github.com/GrantBirki/comment/commit/93a7ff5a297b609ea35b67866cc3459676d2aba1"><code>93a7ff5</code></a> Merge pull request <a href="https://redirect.github.com/grantbirki/comment/issues/47">#47</a> from GrantBirki/bump-v3.0.2</li>
<li><a href="https://github.com/GrantBirki/comment/commit/44e0f6fce3957b6ba32ea1b28c2885c288723f4b"><code>44e0f6f</code></a> Bump version to v3.0.2</li>
<li><a href="https://github.com/GrantBirki/comment/commit/b23dd77391cf0a2538e898a73169eac9c1a6a6ff"><code>b23dd77</code></a> Merge pull request <a href="https://redirect.github.com/grantbirki/comment/issues/46">#46</a> from GrantBirki/versioned-auto-release</li>
<li><a href="https://github.com/GrantBirki/comment/commit/53e38fc3816c5a0ab34974efe7e26772fa504e39"><code>53e38fc</code></a> Make release workflow reruns resumable</li>
<li><a href="https://github.com/GrantBirki/comment/commit/b95b12a9f0e8d416e4dee45b1247c2ffa0d80f6b"><code>b95b12a</code></a> Disable persisted checkout credentials</li>
<li><a href="https://github.com/GrantBirki/comment/commit/a56acd4048fa2bfef519dbbc7b9f91cfceca3818"><code>a56acd4</code></a> Remove release workflow npm cache</li>
<li><a href="https://github.com/GrantBirki/comment/commit/f802ba8fc0cb98597304197afcbb85edd6d438a7"><code>f802ba8</code></a> Rename action version export</li>
<li>Additional commits viewable in <a href="https://github.com/grantbirki/comment/compare/3439715f0cf3b8fc29bf47be0e3226679c06c41a...937820f3623fd0e300294bcc64ac7577fc0ad4cc">compare view</a></li>
</ul>
</details>
<br />
Updates `marocchino/sticky-pull-request-comment` from 3.0.4 to 3.0.5
<details>
<summary>Release notes</summary>
<p><em>Sourced from <a href="https://github.com/marocchino/sticky-pull-request-comment/releases">marocchino/sticky-pull-request-comment's releases</a>.</em></p>
<blockquote>
<h2>v3.0.5</h2>
<h2>What's Changed</h2>
<ul>
<li>build(deps-dev): Bump rollup from 4.60.1 to 4.60.2 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1687">marocchino/sticky-pull-request-comment#1687</a></li>
<li>build(deps-dev): Bump typescript from 6.0.2 to 6.0.3 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1686">marocchino/sticky-pull-request-comment#1686</a></li>
<li>build(deps-dev): Bump <code>@biomejs/biome</code> from 2.4.11 to 2.4.12 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1685">marocchino/sticky-pull-request-comment#1685</a></li>
<li>build(deps-dev): Bump vitest from 4.1.4 to 4.1.5 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1688">marocchino/sticky-pull-request-comment#1688</a></li>
<li>build(deps): Bump <code>@actions/glob</code> from 0.6.1 to 0.7.0 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1689">marocchino/sticky-pull-request-comment#1689</a></li>
<li>build(deps): Bump <code>@actions/core</code> from 3.0.0 to 3.0.1 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1690">marocchino/sticky-pull-request-comment#1690</a></li>
<li>build(deps): Bump <code>@actions/github</code> from 9.1.0 to 9.1.1 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1691">marocchino/sticky-pull-request-comment#1691</a></li>
<li>build(deps-dev): Bump <code>@biomejs/biome</code> from 2.4.12 to 2.4.13 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1693">marocchino/sticky-pull-request-comment#1693</a></li>
<li>feat: embed file content in message template via <code>{{{content}}}</code> placeholder by <a href="https://github.com/marocchino"><code>@marocchino</code></a> with <a href="https://github.com/Copilot"><code>@Copilot</code></a> in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1665">marocchino/sticky-pull-request-comment#1665</a></li>
<li>build(deps-dev): Bump <code>@biomejs/biome</code> from 2.4.13 to 2.4.14 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1694">marocchino/sticky-pull-request-comment#1694</a></li>
<li>build(deps-dev): Bump rollup from 4.60.2 to 4.60.3 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1695">marocchino/sticky-pull-request-comment#1695</a></li>
<li>build(deps-dev): Bump <code>@types/node</code> from 25.6.0 to 25.6.2 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1698">marocchino/sticky-pull-request-comment#1698</a></li>
<li>build(deps-dev): Bump <code>@types/node</code> from 25.6.2 to 25.7.0 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1700">marocchino/sticky-pull-request-comment#1700</a></li>
<li>build(deps-dev): Bump vitest from 4.1.5 to 4.1.6 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1701">marocchino/sticky-pull-request-comment#1701</a></li>
<li>build(deps-dev): Bump <code>@types/node</code> from 25.7.0 to 25.8.0 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1703">marocchino/sticky-pull-request-comment#1703</a></li>
<li>build(deps-dev): Bump rollup from 4.60.3 to 4.60.4 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1704">marocchino/sticky-pull-request-comment#1704</a></li>
<li>build(deps-dev): Bump <code>@types/node</code> from 25.8.0 to 25.9.1 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1707">marocchino/sticky-pull-request-comment#1707</a></li>
<li>build(deps-dev): Bump vitest from 4.1.6 to 4.1.7 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1708">marocchino/sticky-pull-request-comment#1708</a></li>
<li>build(deps): Bump brace-expansion from 5.0.5 to 5.0.6 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1705">marocchino/sticky-pull-request-comment#1705</a></li>
<li>build(deps): Bump undici from 6.24.0 to 6.27.0 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1725">marocchino/sticky-pull-request-comment#1725</a></li>
<li>build(deps-dev): Bump rollup from 4.60.4 to 4.62.2 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1722">marocchino/sticky-pull-request-comment#1722</a></li>
<li>build(deps): Bump actions/checkout from 6 to 7 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1721">marocchino/sticky-pull-request-comment#1721</a></li>
<li>build(deps-dev): Bump vite from 8.0.13 to 8.0.16 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1720">marocchino/sticky-pull-request-comment#1720</a></li>
<li>build(deps-dev): Bump vitest from 4.1.7 to 4.1.9 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1719">marocchino/sticky-pull-request-comment#1719</a></li>
<li>build(deps-dev): Bump <code>@types/node</code> from 25.9.1 to 26.1.0 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1731">marocchino/sticky-pull-request-comment#1731</a></li>
<li>build(deps-dev): Bump <code>@rollup/plugin-commonjs</code> from 29.0.2 to 29.0.3 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1710">marocchino/sticky-pull-request-comment#1710</a></li>
<li>build(deps-dev): Bump js-yaml from 4.1.1 to 5.2.1 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1732">marocchino/sticky-pull-request-comment#1732</a></li>
<li>build(deps-dev): Bump <code>@biomejs/biome</code> from 2.4.14 to 2.5.2 by <a href="https://github.com/dependabot"><code>@dependabot</code></a>[bot] in <a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/pull/1730">marocchino/sticky-pull-request-comment#1730</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/marocchino/sticky-pull-request-comment/compare/v3.0.4...v3.0.5">https://github.com/marocchino/sticky-pull-request-comment/compare/v3.0.4...v3.0.5</a></p>
</blockquote>
</details>
<details>
<summary>Commits</summary>
<ul>
<li><a href="https://github.com/marocchino/sticky-pull-request-comment/commit/5770ad5eb8f42dd2c4f34da00c94c5381e49af88"><code>5770ad5</code></a> 📦️ Build</li>
<li><a href="https://github.com/marocchino/sticky-pull-request-comment/commit/2c190609760f3bf7b8298e5e88612e77a6d49ecc"><code>2c19060</code></a> build(deps-dev): Bump <code>@biomejs/biome</code> from 2.4.14 to 2.5.2 (<a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/issues/1730">#1730</a>)</li>
<li><a href="https://github.com/marocchino/sticky-pull-request-comment/commit/3d24e5ae13e5cb81ea2bc10645b7d737cf11902f"><code>3d24e5a</code></a> build(deps-dev): Bump js-yaml from 4.1.1 to 5.2.1 (<a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/issues/1732">#1732</a>)</li>
<li><a href="https://github.com/marocchino/sticky-pull-request-comment/commit/36048210fda2e47994091215455a64526baf9829"><code>3604821</code></a> build(deps-dev): Bump <code>@rollup/plugin-commonjs</code> from 29.0.2 to 29.0.3 (<a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/issues/1710">#1710</a>)</li>
<li><a href="https://github.com/marocchino/sticky-pull-request-comment/commit/a4d9c0f61c8b826000881e93dcf8d3c3de9e6d82"><code>a4d9c0f</code></a> build(deps-dev): Bump <code>@types/node</code> from 25.9.1 to 26.1.0 (<a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/issues/1731">#1731</a>)</li>
<li><a href="https://github.com/marocchino/sticky-pull-request-comment/commit/ae65a58300ab21f85000f649966645a4f8b98c7e"><code>ae65a58</code></a> build(deps-dev): Bump vitest from 4.1.7 to 4.1.9 (<a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/issues/1719">#1719</a>)</li>
<li><a href="https://github.com/marocchino/sticky-pull-request-comment/commit/86803217fddacb4de85c3e9724a5562badaa8c8e"><code>8680321</code></a> build(deps-dev): Bump vite from 8.0.13 to 8.0.16 (<a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/issues/1720">#1720</a>)</li>
<li><a href="https://github.com/marocchino/sticky-pull-request-comment/commit/5d402391401fd084c1a074525b8c1f306989428f"><code>5d40239</code></a> build(deps): Bump actions/checkout from 6 to 7 (<a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/issues/1721">#1721</a>)</li>
<li><a href="https://github.com/marocchino/sticky-pull-request-comment/commit/39ab01d7848066124dd3483f4186a8ec4b5f8f3d"><code>39ab01d</code></a> build(deps-dev): Bump rollup from 4.60.4 to 4.62.2 (<a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/issues/1722">#1722</a>)</li>
<li><a href="https://github.com/marocchino/sticky-pull-request-comment/commit/b2660f1f0ba080a208cdb3834816c6012377e8b6"><code>b2660f1</code></a> build(deps): Bump undici from 6.24.0 to 6.27.0 (<a href="https://redirect.github.com/marocchino/sticky-pull-request-comment/issues/1725">#1725</a>)</li>
<li>Additional commits viewable in <a href="https://github.com/marocchino/sticky-pull-request-comment/compare/0ea0beb66eb9baf113663a64ec522f60e49231c0...5770ad5eb8f42dd2c4f34da00c94c5381e49af88">compare view</a></li>
</ul>
</details>
<br />
Updates `zulip/github-actions-zulip/send-message` from 2.0.1 to 2.0.2
<details>
<summary>Release notes</summary>
<p><em>Sourced from <a href="https://github.com/zulip/github-actions-zulip/releases">zulip/github-actions-zulip/send-message's releases</a>.</em></p>
<blockquote>
<h2>v2.0.2</h2>
<h2>What's Changed</h2>
<ul>
<li>Upgrade dependencies by <a href="https://github.com/andersk"><code>@andersk</code></a> in <a href="https://redirect.github.com/zulip/github-actions-zulip/pull/153">zulip/github-actions-zulip#153</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/zulip/github-actions-zulip/compare/v2.0.1...v2.0.2">https://github.com/zulip/github-actions-zulip/compare/v2.0.1...v2.0.2</a></p>
</blockquote>
</details>
<details>
<summary>Changelog</summary>
<p><em>Sourced from <a href="https://github.com/zulip/github-actions-zulip/blob/main/CHANGELOG.md">zulip/github-actions-zulip/send-message's changelog</a>.</em></p>
<blockquote>
<h1>Zulip GitHub Action Changelog</h1>
<h2>2.0.2 (2026-06-16)</h2>
<p><strong>Infrastructure</strong></p>
<ul>
<li>Upgrade dependencies.</li>
</ul>
<h2>2.0.1 (2026-05-21)</h2>
<p><strong>Fixes</strong></p>
<ul>
<li>Add missing tslib dependency.</li>
</ul>
<h2>2.0.0 (2026-05-20)</h2>
<p><strong>Breaking changes</strong></p>
<ul>
<li>Switch from deprecated Node 20 to Node 24.</li>
</ul>
<p><strong>Infrastructure</strong></p>
<ul>
<li>Upgrade dependencies.</li>
</ul>
<h2>1.0.0 (2021-08-14)</h2>
<p><strong>Breaking changes</strong></p>
<p>⚠️ Please use <code>zulip/github-actions-zulip/send-message@v1</code> instead of <code>yuzutech/zulip-send-message-action@v0.1.2</code>.<br />
If you were using <code>password</code> as authentification method, please get an API key through Zulip's web interface and use <code>api-key</code> instead.
Finally, <code>username</code> field was renamed to <code>email</code> to be consistent with Zulip API naming.</p>
<p><em>Before</em></p>
<pre lang="yml"><code>- name: Send a stream message
uses: yuzutech/zulip-send-message-action@v0.1.0
with:
username: "username@example.com"
api-key: "abcd1234"
organization-url: "https://org.zulipchat.com"
to: "social"
type: "stream"
topic: "Castle"
content: "I come not, friends, to steal away your hearts."
</code></pre>
<p><em>After</em></p>
<pre lang="yml"><code></tr></table>
</code></pre>
</blockquote>
<p>... (truncated)</p>
</details>
<details>
<summary>Commits</summary>
<ul>
<li><a href="https://github.com/zulip/github-actions-zulip/commit/f675f2b4eb2a95fae974215476dcb7ad8dfeff6b"><code>f675f2b</code></a> Release v2.0.2.</li>
<li><a href="https://github.com/zulip/github-actions-zulip/commit/2126b4e7204e82380377173715b9d0e28a1e0ea9"><code>2126b4e</code></a> Upgrade dependencies.</li>
<li><a href="https://github.com/zulip/github-actions-zulip/commit/03c1bf9bf768078ee07156917294308e82e10df0"><code>03c1bf9</code></a> eslint: Run prettier separately.</li>
<li><a href="https://github.com/zulip/github-actions-zulip/commit/bf35ec515a8c2269ff64bca5d3e454092015795f"><code>bf35ec5</code></a> eslint: Fix arrow-body-style.</li>
<li><a href="https://github.com/zulip/github-actions-zulip/commit/f624d603510fbc938e91ee40ae12d030dd8442f6"><code>f624d60</code></a> eslint: Fix <code>@typescript-eslint/strict-boolean-expressions</code>.</li>
<li>See full diff in <a href="https://github.com/zulip/github-actions-zulip/compare/v2.0.1...f675f2b4eb2a95fae974215476dcb7ad8dfeff6b">compare view</a></li>
</ul>
</details>
<br />
Updates `docker/login-action` from 4.2.0 to 4.6.0
<details>
<summary>Release notes</summary>
<p><em>Sourced from <a href="https://github.com/docker/login-action/releases">docker/login-action's releases</a>.</em></p>
<blockquote>
<h2>v4.6.0</h2>
<ul>
<li>Harden buildx scoped config path handling by <a href="https://github.com/crazy-max"><code>@crazy-max</code></a> in <a href="https://redirect.github.com/docker/login-action/pull/1059">docker/login-action#1059</a></li>
<li>Bump <code>@aws-sdk/client-ecr</code> and <code>@aws-sdk/client-ecr-public</code> to 3.1095.0 in <a href="https://redirect.github.com/docker/login-action/pull/1051">docker/login-action#1051</a></li>
<li>Bump js-yaml from 5.2.1 to 5.2.2 in <a href="https://redirect.github.com/docker/login-action/pull/1057">docker/login-action#1057</a></li>
<li>Bump postcss from 8.5.10 to 8.5.22 in <a href="https://redirect.github.com/docker/login-action/pull/1056">docker/login-action#1056</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/docker/login-action/compare/v4.5.2...v4.6.0">https://github.com/docker/login-action/compare/v4.5.2...v4.6.0</a></p>
<h2>v4.5.2</h2>
<ul>
<li>Surface Docker Hub OIDC error responses by <a href="https://github.com/crazy-max"><code>@crazy-max</code></a> in <a href="https://redirect.github.com/docker/login-action/pull/1058">docker/login-action#1058</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/docker/login-action/compare/v4.5.1...v4.5.2">https://github.com/docker/login-action/compare/v4.5.1...v4.5.2</a></p>
<h2>v4.5.1</h2>
<ul>
<li>Support <code>dhi.io</code> as Docker Hub OIDC registry by <a href="https://github.com/crazy-max"><code>@crazy-max</code></a> in <a href="https://redirect.github.com/docker/login-action/pull/1054">docker/login-action#1054</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/docker/login-action/compare/v4.5.0...v4.5.1">https://github.com/docker/login-action/compare/v4.5.0...v4.5.1</a></p>
<h2>v4.5.0</h2>
<ul>
<li><a href="https://github.com/docker/login-action#docker-hub">Docker Hub OIDC</a> login support by <a href="https://github.com/crazy-max"><code>@crazy-max</code></a> in <a href="https://redirect.github.com/docker/login-action/pull/1048">docker/login-action#1048</a></li>
<li>Bump <code>@aws-sdk/client-ecr</code> and <code>@aws-sdk/client-ecr-public</code> to 3.1091.0 in <a href="https://redirect.github.com/docker/login-action/pull/1037">docker/login-action#1037</a></li>
<li>Bump <code>@docker/actions-toolkit</code> from 0.92.0 to 0.94.0 in <a href="https://redirect.github.com/docker/login-action/pull/1044">docker/login-action#1044</a> <a href="https://redirect.github.com/docker/login-action/pull/1050">docker/login-action#1050</a></li>
<li>Bump brace-expansion from 1.1.13 to 1.1.16 in <a href="https://redirect.github.com/docker/login-action/pull/1046">docker/login-action#1046</a></li>
<li>Bump js-yaml from 5.2.0 to 5.2.1 in <a href="https://redirect.github.com/docker/login-action/pull/1038">docker/login-action#1038</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/docker/login-action/compare/v4.4.0...v4.5.0">https://github.com/docker/login-action/compare/v4.4.0...v4.5.0</a></p>
<h2>v4.4.0</h2>
<ul>
<li>Skip empty <code>registry-auth</code> secret mask by <a href="https://github.com/crazy-max"><code>@crazy-max</code></a> in <a href="https://redirect.github.com/docker/login-action/pull/1035">docker/login-action#1035</a></li>
<li>Bump <code>@aws-sdk/client-ecr</code> and <code>@aws-sdk/client-ecr-public</code> to 3.1077.0 <a href="https://redirect.github.com/docker/login-action/pull/1034">docker/login-action#1034</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/docker/login-action/compare/v4.3.0...v4.4.0">https://github.com/docker/login-action/compare/v4.3.0...v4.4.0</a></p>
<h2>v4.3.0</h2>
<ul>
<li>Preserve names in esbuild bundle by <a href="https://github.com/crazy-max"><code>@crazy-max</code></a> in <a href="https://redirect.github.com/docker/login-action/pull/1022">docker/login-action#1022</a></li>
<li>Bump <code>@aws-sdk/client-ecr</code> and <code>@aws-sdk/client-ecr-public</code> to 3.1076.0 <a href="https://redirect.github.com/docker/login-action/pull/999">docker/login-action#999</a> <a href="https://redirect.github.com/docker/login-action/pull/1030">docker/login-action#1030</a></li>
<li>Bump <code>@docker/actions-toolkit</code> from 0.90.0 to 0.92.0 in <a href="https://redirect.github.com/docker/login-action/pull/1004">docker/login-action#1004</a> <a href="https://redirect.github.com/docker/login-action/pull/1027">docker/login-action#1027</a></li>
<li>Bump <code>@sigstore/core</code> from 3.1.0 to 3.2.1 in <a href="https://redirect.github.com/docker/login-action/pull/1023">docker/login-action#1023</a></li>
<li>Bump <code>@sigstore/verify</code> from 3.1.0 to 3.1.1 in <a href="https://redirect.github.com/docker/login-action/pull/1029">docker/login-action#1029</a></li>
<li>Bump http-proxy-agent and https-proxy-agent to 9.1.0 in <a href="https://redirect.github.com/docker/login-action/pull/1017">docker/login-action#1017</a></li>
<li>Bump js-yaml from 4.1.1 to 5.2.0 in <a href="https://redirect.github.com/docker/login-action/pull/1028">docker/login-action#1028</a></li>
<li>Bump sigstore from 4.1.0 to 4.1.1 in <a href="https://redirect.github.com/docker/login-action/pull/1031">docker/login-action#1031</a></li>
<li>Bump tmp from 0.2.5 to 0.2.7 in <a href="https://redirect.github.com/docker/login-action/pull/1002">docker/login-action#1002</a></li>
<li>Bump undici from 6.24.1 to 6.27.0 in <a href="https://redirect.github.com/docker/login-action/pull/1020">docker/login-action#1020</a></li>
<li>Bump vite from 7.3.3 to 7.3.6 in <a href="https://redirect.github.com/docker/login-action/pull/1019">docker/login-action#1019</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/docker/login-action/compare/v4.2.0...v4.3.0">https://github.com/docker/login-action/compare/v4.2.0...v4.3.0</a></p>
</blockquote>
</details>
<details>
<summary>Commits</summary>
<ul>
<li><a href="https://github.com/docker/login-action/commit/dbcb813823bdd20940b903addbd779551569679f"><code>dbcb813</code></a> Merge pull request <a href="https://redirect.github.com/docker/login-action/issues/1051">#1051</a> from docker/dependabot/npm_and_yarn/aws-sdk-dependen...</li>
<li><a href="https://github.com/docker/login-action/commit/5bcb015ee6ec720ecdeaef2dc1164122e9b209fc"><code>5bcb015</code></a> [dependabot skip] chore: update generated content</li>
<li><a href="https://github.com/docker/login-action/commit/b30b2f2d3196c1714318ba0c3c3bec211d949752"><code>b30b2f2</code></a> build(deps): bump the aws-sdk-dependencies group across 1 directory with 2 up...</li>
<li><a href="https://github.com/docker/login-action/commit/9087f1e6d666fe0292409e3c819680c18526e108"><code>9087f1e</code></a> Merge pull request <a href="https://redirect.github.com/docker/login-action/issues/1057">#1057</a> from docker/dependabot/npm_and_yarn/js-yaml-5.2.2</li>
<li><a href="https://github.com/docker/login-action/commit/0009830ea169ca16c24c0ea4cac1c325bfa3aee4"><code>0009830</code></a> [dependabot skip] chore: update generated content</li>
<li><a href="https://github.com/docker/login-action/commit/23255232d3e43c8f0052d9a0dba82a515a88ce92"><code>2325523</code></a> build(deps): bump js-yaml from 5.2.1 to 5.2.2</li>
<li><a href="https://github.com/docker/login-action/commit/4ec1d4a769e8b05a89a7396551dc38b329211688"><code>4ec1d4a</code></a> Merge pull request <a href="https://redirect.github.com/docker/login-action/issues/1056">#1056</a> from docker/dependabot/npm_and_yarn/postcss-8.5.22</li>
<li><a href="https://github.com/docker/login-action/commit/5fc99ba47bca274c5a499688f71c7ea79c0ea1b3"><code>5fc99ba</code></a> Merge pull request <a href="https://redirect.github.com/docker/login-action/issues/1053">#1053</a> from docker/dependabot/github_actions/aws-actions/co...</li>
<li><a href="https://github.com/docker/login-action/commit/e512bd59d16c53d79ea5c0f0e345fe554453c4bb"><code>e512bd5</code></a> Merge pull request <a href="https://redirect.github.com/docker/login-action/issues/1052">#1052</a> from docker/dependabot/github_actions/codeql-actions...</li>
<li><a href="https://github.com/docker/login-action/commit/a146c91b8f371700d323bae808af7cbdc2766ed5"><code>a146c91</code></a> Merge pull request <a href="https://redirect.github.com/docker/login-action/issues/1059">#1059</a> from crazy-max/harden-buildx-scope-paths</li>
<li>Additional commits viewable in <a href="https://github.com/docker/login-action/compare/650006c6eb7dba73a995cc03b0b2d7f5ca915bee...dbcb813823bdd20940b903addbd779551569679f">compare view</a></li>
</ul>
</details>
<br />
Updates `docker/metadata-action` from 6.1.0 to 6.2.0
<details>
<summary>Release notes</summary>
<p><em>Sourced from <a href="https://github.com/docker/metadata-action/releases">docker/metadata-action's releases</a>.</em></p>
<blockquote>
<h2>v6.2.0</h2>
<ul>
<li>Preserve names in esbuild bundle by <a href="https://github.com/crazy-max"><code>@crazy-max</code></a> in <a href="https://redirect.github.com/docker/metadata-action/pull/689">docker/metadata-action#689</a></li>
<li>Bump <code>@actions/core</code> from 3.0.0 to 3.0.1 in <a href="https://redirect.github.com/docker/metadata-action/pull/663">docker/metadata-action#663</a></li>
<li>Bump <code>@actions/github</code> from 9.0.0 to 9.1.1 in <a href="https://redirect.github.com/docker/metadata-action/pull/666">docker/metadata-action#666</a></li>
<li>Bump <code>@docker/actions-toolkit</code> from 0.90.0 to 0.92.0 in <a href="https://redirect.github.com/docker/metadata-action/pull/672">docker/metadata-action#672</a> <a href="https://redirect.github.com/docker/metadata-action/pull/696">docker/metadata-action#696</a></li>
<li>Bump <code>@sigstore/core</code> from 3.1.0 to 3.2.1 in <a href="https://redirect.github.com/docker/metadata-action/pull/690">docker/metadata-action#690</a></li>
<li>Bump <code>@sigstore/verify</code> from 3.1.0 to 3.1.1 in <a href="https://redirect.github.com/docker/metadata-action/pull/693">docker/metadata-action#693</a></li>
<li>Bump csv-parse from 6.2.1 to 7.0.0 in <a href="https://redirect.github.com/docker/metadata-action/pull/683">docker/metadata-action#683</a></li>
<li>Bump js-yaml from 4.1.1 to 4.3.0 in <a href="https://redirect.github.com/docker/metadata-action/pull/688">docker/metadata-action#688</a></li>
<li>Bump moment-timezone from 0.6.1 to 0.6.2 in <a href="https://redirect.github.com/docker/metadata-action/pull/664">docker/metadata-action#664</a></li>
<li>Bump semver from 7.7.4 to 7.8.5 in <a href="https://redirect.github.com/docker/metadata-action/pull/665">docker/metadata-action#665</a> <a href="https://redirect.github.com/docker/metadata-action/pull/695">docker/metadata-action#695</a></li>
<li>Bump sigstore from 4.1.0 to 4.1.1 in <a href="https://redirect.github.com/docker/metadata-action/pull/694">docker/metadata-action#694</a></li>
<li>Bump tmp from 0.2.5 to 0.2.7 in <a href="https://redirect.github.com/docker/metadata-action/pull/673">docker/metadata-action#673</a></li>
<li>Bump undici from 6.25.0 to 6.27.0 in <a href="https://redirect.github.com/docker/metadata-action/pull/686">docker/metadata-action#686</a></li>
<li>Bump vite from 7.3.2 to 7.3.6 in <a href="https://redirect.github.com/docker/metadata-action/pull/685">docker/metadata-action#685</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/docker/metadata-action/compare/v6.1.0...v6.2.0">https://github.com/docker/metadata-action/compare/v6.1.0...v6.2.0</a></p>
</blockquote>
</details>
<details>
<summary>Commits</summary>
<ul>
<li><a href="https://github.com/docker/metadata-action/commit/dc802804100637a589fabce1cb79ff13a1411302"><code>dc80280</code></a> Merge pull request <a href="https://redirect.github.com/docker/metadata-action/issues/696">#696</a> from docker/dependabot/npm_and_yarn/docker/actions-to...</li>
<li><a href="https://github.com/docker/metadata-action/commit/2b9fe830efc58cb7b0fab7c94300b1afa01864db"><code>2b9fe83</code></a> [dependabot skip] chore: update generated content</li>
<li><a href="https://github.com/docker/metadata-action/commit/8128ce30ab370fd360c8423698dcc077f2db8087"><code>8128ce3</code></a> chore(deps): Bump <code>@docker/actions-toolkit</code> from 0.91.0 to 0.92.0</li>
<li><a href="https://github.com/docker/metadata-action/commit/1d1c89551edb081628e818368680beffb2bbccee"><code>1d1c895</code></a> Merge pull request <a href="https://redirect.github.com/docker/metadata-action/issues/695">#695</a> from docker/dependabot/npm_and_yarn/semver-7.8.5</li>
<li><a href="https://github.com/docker/metadata-action/commit/7f0c2dd4c83ea6258f78bf2fc6a02908417518ad"><code>7f0c2dd</code></a> Merge pull request <a href="https://redirect.github.com/docker/metadata-action/issues/694">#694</a> from docker/dependabot/npm_and_yarn/sigstore-4.1.1</li>
<li><a href="https://github.com/docker/metadata-action/commit/025f8c5c8167edab853571a387d8e80ccc1e91ed"><code>025f8c5</code></a> [dependabot skip] chore: update generated content</li>
<li><a href="https://github.com/docker/metadata-action/commit/e98d63c3081990566e174100a3afaa97aefbbcf3"><code>e98d63c</code></a> chore(deps): Bump semver from 7.8.1 to 7.8.5</li>
<li><a href="https://github.com/docker/metadata-action/commit/37d93799507b94cf1c1885efd7278d52a0fb806a"><code>37d9379</code></a> chore(deps): Bump sigstore from 4.1.0 to 4.1.1</li>
<li><a href="https://github.com/docker/metadata-action/commit/a1b80728476a956a25c5eeaff91c4dc46e7ac1bc"><code>a1b8072</code></a> Merge pull request <a href="https://redirect.github.com/docker/metadata-action/issues/690">#690</a> from docker/dependabot/npm_and_yarn/sigstore/core-3.2.1</li>
<li><a href="https://github.com/docker/metadata-action/commit/e0e338106d6ae0da5b44537049a34620b3559a5c"><code>e0e3381</code></a> [dependabot skip] chore: update generated content</li>
<li>Additional commits viewable in <a href="https://github.com/docker/metadata-action/compare/80c7e94dd9b9319bd5eb7a0e0fe9291e23a2a2e9...dc802804100637a589fabce1cb79ff13a1411302">compare view</a></li>
</ul>
</details>
<br />
Updates `docker/build-push-action` from 7.2.0 to 7.3.0
<details>
<summary>Release notes</summary>
<p><em>Sourced from <a href="https://github.com/docker/build-push-action/releases">docker/build-push-action's releases</a>.</em></p>
<blockquote>
<h2>v7.3.0</h2>
<ul>
<li>Preserve names in esbuild bundle by <a href="https://github.com/crazy-max"><code>@crazy-max</code></a> in <a href="https://redirect.github.com/docker/build-push-action/pull/1567">docker/build-push-action#1567</a></li>
<li>Bump <code>@docker/actions-toolkit</code> from 0.90.0 to 0.92.0 in <a href="https://redirect.github.com/docker/build-push-action/pull/1545">docker/build-push-action#1545</a> <a href="https://redirect.github.com/docker/build-push-action/pull/1572">docker/build-push-action#1572</a></li>
<li>Bump <code>@sigstore/core</code> from 3.1.0 to 3.2.1 in <a href="https://redirect.github.com/docker/build-push-action/pull/1568">docker/build-push-action#1568</a></li>
<li>Bump js-yaml from 4.1.1 to 4.3.0 in <a href="https://redirect.github.com/docker/build-push-action/pull/1566">docker/build-push-action#1566</a></li>
<li>Bump tmp from 0.2.5 to 0.2.7 in <a href="https://redirect.github.com/docker/build-push-action/pull/1547">docker/build-push-action#1547</a></li>
<li>Bump undici from 6.24.1 to 6.27.0 in <a href="https://redirect.github.com/docker/build-push-action/pull/1564">docker/build-push-action#1564</a></li>
<li>Bump vite from 7.3.2 to 7.3.6 in <a href="https://redirect.github.com/docker/build-push-action/pull/1563">docker/build-push-action#1563</a></li>
</ul>
<p><strong>Full Changelog</strong>: <a href="https://github.com/docker/build-push-action/compare/v7.2.0...v7.3.0">https://github.com/docker/build-push-action/compare/v7.2.0...v7.3.0</a></p>
</blockquote>
</details>
<details>
<summary>Commits</summary>
<ul>
<li><a href="https://github.com/docker/build-push-action/commit/53b7df96c91f9c12dcc8a07bcb9ccacbed38856a"><code>53b7df9</code></a> Merge pull request <a href="https://redirect.github.com/docker/build-push-action/issues/1572">#1572</a> from docker/dependabot/npm_and_yarn/docker/actions-t...</li>
<li><a href="https://github.com/docker/build-push-action/commit/154298c1ca89be1c0e019084f0611ddca621aafc"><code>154298c</code></a> [dependabot skip] chore: update generated content</li>
<li><a href="https://github.com/docker/build-push-action/commit/cb1238b9c9eb453d106b4e4142a5bd9cde710040"><code>cb1238b</code></a> chore(deps): Bump <code>@docker/actions-toolkit</code> from 0.91.0 to 0.92.0</li>
<li><a href="https://github.com/docker/build-push-action/commit/24f845d5cbe75d2d350a984fd0e18cb7a3f29c1c"><code>24f845d</code></a> Merge pull request <a href="https://redirect.github.com/docker/build-push-action/issues/1566">#1566</a> from docker/dependabot/npm_and_yarn/js-yaml-4.2.0</li>
<li><a href="https://github.com/docker/build-push-action/commit/9c6973007b52c322651c38915d5e8824cea95c50"><code>9c69730</code></a> [dependabot skip] chore: update generated content</li>
<li><a href="https://github.com/docker/build-push-action/commit/bc3a3a5f72a6dca16c2c2468d1dfc55ee66d2193"><code>bc3a3a5</code></a> Merge pull request <a href="https://redirect.github.com/docker/build-push-action/issues/1574">#1574</a> from docker/dependabot/github_actions/aws-actions/co...</li>
<li><a href="https://github.com/docker/build-push-action/commit/a82c504a2387bb8bedc50072f9c554ae2a7dab5d"><code>a82c504</code></a> chore(deps): Bump js-yaml from 4.1.1 to 4.3.0</li>
<li><a href="https://github.com/docker/build-push-action/commit/0285a75190c039d6dac52b7711abcef3f5d8f6f6"><code>0285a75</code></a> Merge pull request <a href="https://redirect.github.com/docker/build-push-action/issues/1573">#1573</a> from docker/dependabot/github_actions/actions/cache-...</li>
<li><a href="https://github.com/docker/build-push-action/commit/c6ad2a3f9644680619de938b97c8a10a87b2a88d"><code>c6ad2a3</code></a> Merge pull request <a href="https://redirect.github.com/docker/build-push-action/issues/1575">#1575</a> from docker/dependabot/github_actions/actions/checko...</li>
<li><a href="https://github.com/docker/build-push-action/commit/d37484fb9737c5442a257e2f0ae5a8d756ed7d92"><code>d37484f</code></a> Merge pull request <a href="https://redirect.github.com/docker/build-push-action/issues/1564">#1564</a> from docker/dependabot/npm_and_yarn/undici-6.27.0</li>
<li>Additional commits viewable in <a href="https://github.com/docker/build-push-action/compare/f9f3042f7e2789586610d6e8b85c8f03e5195baf...53b7df96c91f9c12dcc8a07bcb9ccacbed38856a">compare view</a></li>
</ul>
</details>
<br />
Updates `corentinmusard/otel-cicd-action` from 4.0.1 to 4.1.0
<details>
<summary>Release notes</summary>
<p><em>Sourced from <a href="https://github.com/corentinmusard/otel-cicd-action/releases">corentinmusard/otel-cicd-action's releases</a>.</em></p>
<blockquote>
<h2>v4.1.0</h2>
<h3>Added</h3>
<ul>
<li>Added the <code>otlpInsecureSkipVerify</code> input for exp...
_Description has been truncated_ |
dependencies
github_actions
CI
|
97/97 |
.github/workflows/PR_summary.yml,.github/workflows/actionlint.yml,.github/workflows/add_label_from_diff.yaml,.github/workflows/build_template.yml,.github/workflows/cache_test.yml,.github/workflows/check_pr_titles.yaml,.github/workflows/commit_verification.yml,.github/workflows/daily-master-tag.yml,.github/workflows/daily.yml,.github/workflows/decls-diff.yml,.github/workflows/docker_build.yml,.github/workflows/export_crossrefs.yml,.github/workflows/export_telemetry.yaml,.github/workflows/label_new_contributor.yml,.github/workflows/lake_cache_shadow.yml,.github/workflows/latest_import.yml,.github/workflows/long_file_report.yml,.github/workflows/maintainer_bors_wf_run.yml,.github/workflows/maintainer_merge_wf_run.yml,.github/workflows/nightly_bump_and_merge.yml,.github/workflows/nightly_detect_failure.yml,.github/workflows/nightly_merge_master.yml,.github/workflows/nolints.yml,.github/workflows/olean_report.yaml,.github/workflows/pr_check_downstream.yml,.github/workflows/pre-commit.yml,.github/workflows/publish_tools.yml,.github/workflows/release.yml,.github/workflows/release_cache.yml,.github/workflows/remove_deprecated_decls.yml,.github/workflows/rm_set_option.yml,.github/workflows/shake.yaml,.github/workflows/technical_debt_metrics.yml,.github/workflows/update_dependencies.yml,.github/workflows/update_dependencies_zulip.yml,.github/workflows/validate_mathlib_ci_paths.yml,.github/workflows/weekly-lints.yml,.github/workflows/zulip_emoji_ci_status.yaml,.github/workflows/zulip_emoji_closed_pr.yaml,.github/workflows/zulip_emoji_labelling.yaml,.github/workflows/zulip_emoji_merge_delegate.yaml,.github/workflows/zulip_emoji_reconcile.yml |
42 |
1 |
['github-actions'] |
nobody |
7-7745 7 days ago |
7-8294 7 days ago |
7-8077 7 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'] |
jsm28 assignee:jsm28 |
7-5620 7 days ago |
7-6164 7 days ago |
9-32806 9 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'] |
nobody |
7-1517 7 days ago |
7-4967 7 days ago |
7-4750 7 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 |
6-78725 6 days ago |
6-79284 6 days ago |
94-47560 94 days |
| 41529 |
kebekus author:kebekus |
feat: Émile Borel's classic "Growth Lemma" |
Establish Émile Borel's classic **Growth Lemma**: if `S : ℝ → ℝ` is monotone on `Set.Ici a` and satisfies `1 ≤ S` there, then
`∀ᶠ r in volume.cofinite ⊓ atTop, S (r + (S r)⁻¹) ≤ 2 * S r`.
In other words: The inequality `S (r + (S r)⁻¹) ≤ 2 * S r` holds for all sufficiently large `r` outside an exceptional set `E` of finite Lebesgue measure. In Value Distribution Theory, this statement is central to the proof of the "Lemma on the Logarithmic Derivatives".
This material is used in [Project VD](https://github.com/kebekus/ProjectVD), formalizing Value Distribution Theory for meromorphic functions on the complex plane. Claude Code was used to create this PR.
---
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|
t-measure-probability
LLM-generated
maintainer-merge
|
142/0 |
Mathlib.lean,Mathlib/MeasureTheory/Function/BorelGrowth.lean,docs/references.bib |
3 |
7 |
['EtienneC30', 'github-actions', 'kebekus'] |
EtienneC30 assignee:EtienneC30 |
6-75131 6 days ago |
6-77523 6 days ago |
29-73081 29 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 |
6-74709 6 days ago |
33-80266 33 days ago |
33-80049 33 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 |
6-74505 6 days ago |
6-74505 6 days ago |
6-74288 6 days |
| 42252 |
b-mehta author:b-mehta |
feat(RingTheory/PowerSeries): coeff of a power series times a numeral |
Adds the four coeff simp lemmas for a power series multiplied by a numeral (natCast or ofNat, on either side), matching what already exists for polynomials in Mathlib/Algebra/Polynomial/Coeff.lean.
---
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|
easy
t-ring-theory
|
12/0 |
Mathlib/RingTheory/PowerSeries/Basic.lean |
1 |
2 |
['bocowgill', 'github-actions'] |
nobody |
6-74411 6 days ago |
10-1035 10 days ago |
10-818 10 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
|
144/2 |
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 |
53 |
['emlis42', 'felixpernegger', 'github-actions', 'plp127', 'vihdzp'] |
jjdishere assignee:jjdishere |
6-64182 6 days ago |
6-77581 6 days ago |
57-1078 57 days |
| 42332 |
plp127 author:plp127 |
feat: principal ideal is maximal iff generator is irreducible |
Prove the theorem that if a principal ideal is maximal and not generated by an idempotent, then the generator is irreducible. Prove that in a domain if a principal ideal is maximal and its generator is nonzero then it is irreducible. Prove that in a principal ideal domain a principal ideal is maximal iff its generator is irreducible.
---
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|
t-ring-theory |
39/0 |
Mathlib/RingTheory/Ideal/Maximal.lean,Mathlib/RingTheory/PrincipalIdealDomain.lean |
2 |
2 |
['artie2000', 'github-actions'] |
nobody |
6-62362 6 days ago |
6-64147 6 days ago |
7-3816 7 days |
| 42319 |
xroblot author:xroblot |
feat(Algebra/Squarefree): add exists_sq_mul_squarefree |
Add `exists_sq_mul_squarefree`: every element of a unique factorization monoid is a square times a squarefree element. Also add `Squarefree.dvd_of_isSquare_mul` and `Squarefree.associated_of_isSquare_mul`, and golf the existing `Nat.sq_mul_squarefree` and `Nat.sq_mul_squarefree_of_pos` to use the new lemma.
|
t-algebra label:t-algebra$ |
33/31 |
Mathlib/Algebra/Squarefree/Basic.lean,Mathlib/Data/Nat/Squarefree.lean |
2 |
1 |
['github-actions'] |
nobody |
6-62117 6 days ago |
7-46057 7 days ago |
7-45840 7 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 |
6-60853 6 days ago |
12-9042 12 days ago |
12-33553 12 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 |
6-56552 6 days ago |
6-57248 6 days ago |
6-57031 6 days |
| 39388 |
marcelolynch author:marcelolynch |
chore: remove @[expose] from def-free public sections |
Strip `@[expose]` from `public section` headers in 136 modules where no declaration needs its body visible downstream. A new sweep in the style of #38480
Found using the linter-in-progress: #39387
Relevant Zulip thread: https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Removing.20unnecessary.20.60.40.5Bexpose.5D.60/with/595180230 |
tech debt |
136/136 |
Mathlib/Algebra/Category/ModuleCat/ChangeOfRingsExact.lean,Mathlib/Algebra/Category/ModuleCat/Ext/Basic.lean,Mathlib/Algebra/Category/ModuleCat/Monoidal/Adjunction.lean,Mathlib/Algebra/Category/Ring/Small.lean,Mathlib/Algebra/EuclideanDomain/Basic.lean,Mathlib/Algebra/Field/Basic.lean,Mathlib/Algebra/Field/MinimalAxioms.lean,Mathlib/Algebra/Field/Opposite.lean,Mathlib/Algebra/Field/ULift.lean,Mathlib/Algebra/Field/ZMod.lean,Mathlib/Algebra/Group/Action/Option.lean,Mathlib/Algebra/Group/Action/Sigma.lean,Mathlib/Algebra/Group/Action/Sum.lean,Mathlib/Algebra/Group/Action/Units.lean,Mathlib/Algebra/Group/Subgroup/Actions.lean,Mathlib/Algebra/Group/Submonoid/MulAction.lean,Mathlib/Algebra/Homology/ModelCategory/Injective.lean,Mathlib/Algebra/Module/Projective.lean,Mathlib/Algebra/Module/Submodule/Basic.lean,Mathlib/Algebra/MonoidAlgebra/PointwiseSMul.lean,Mathlib/Algebra/NonAssoc/LieAdmissible/Defs.lean,Mathlib/Algebra/Notation/Prod.lean,Mathlib/Algebra/Order/Antidiag/Tendsto.lean,Mathlib/Algebra/Order/Floor/Div.lean,Mathlib/Algebra/Order/Group/Action/End.lean,Mathlib/Algebra/Order/Group/End.lean,Mathlib/Algebra/Order/Group/PosPart.lean,Mathlib/Algebra/Order/Kleene.lean,Mathlib/Algebra/Order/Pi.lean,Mathlib/Algebra/Ring/Commute.lean,Mathlib/Algebra/Star/TransferInstance.lean,Mathlib/AlgebraicGeometry/Birational/Dominant.lean,Mathlib/AlgebraicTopology/ModelCategory/Over.lean,Mathlib/AlgebraicTopology/SimplicialSet/AnodyneExtensions/Inner/PushoutProduct.lean,Mathlib/AlgebraicTopology/SimplicialSet/AnodyneExtensions/PushoutProduct.lean,Mathlib/Analysis/Calculus/TaylorIntegral.lean,Mathlib/Analysis/Normed/Algebra/TrivSqZeroExt.lean,Mathlib/Analysis/Normed/Group/Constructions.lean,Mathlib/Analysis/Normed/Module/MStructure.lean,Mathlib/Analysis/Normed/Operator/Compact/FiniteDimension.lean,Mathlib/Analysis/ODE/DiscreteGronwall.lean,Mathlib/Analysis/Polynomial/Norm.lean,Mathlib/CategoryTheory/Adjunction/ParametrizedLimits.lean,Mathlib/CategoryTheory/Comma/CatCommSq.lean,Mathlib/CategoryTheory/Localization/DerivabilityStructure/OfLocalizedEquivalences.lean,Mathlib/CategoryTheory/MarkovCategory/Positive.lean,Mathlib/CategoryTheory/Monoidal/Cartesian/Normal.lean,Mathlib/CategoryTheory/Monoidal/Functor/Types.lean,Mathlib/CategoryTheory/Monoidal/Types/Coyoneda.lean,Mathlib/CategoryTheory/Preadditive/Comma.lean,Mathlib/CategoryTheory/Preadditive/Injective/InjectiveObject.lean,Mathlib/CategoryTheory/Sites/CoversTop/Over.lean,Mathlib/CategoryTheory/Sites/Precoverage/Generates.lean,Mathlib/Combinatorics/Additive/FreimanHom.lean,Mathlib/Computability/AkraBazzi/AkraBazzi.lean,Mathlib/Data/ENNReal/Action.lean,Mathlib/Data/Fin/Init.lean,Mathlib/Data/Finsupp/Pointwise.lean,Mathlib/Data/FunLike/Basic.lean,Mathlib/Data/FunLike/Embedding.lean,Mathlib/Data/FunLike/Equiv.lean,Mathlib/Data/FunLike/Ring.lean,Mathlib/Data/Int/Cast/Pi.lean,Mathlib/Data/LawfulXor/Basic.lean,Mathlib/Data/List/Monad.lean,Mathlib/Data/Prod/Lex.lean,Mathlib/Data/Rat/Cast/Defs.lean,Mathlib/Data/Rat/Cast/OfScientific.lean,Mathlib/Data/ZMod/IntUnitsPower.lean,Mathlib/GroupTheory/Congruence/Star.lean,Mathlib/GroupTheory/GroupAction/Embedding.lean,Mathlib/GroupTheory/IsPerfect.lean,Mathlib/GroupTheory/MonoidLocalization/UniqueFactorization.lean,Mathlib/GroupTheory/ResiduallyFinite.lean,Mathlib/LinearAlgebra/CliffordAlgebra/Star.lean,Mathlib/LinearAlgebra/FreeModule/Finite/Matrix.lean,Mathlib/LinearAlgebra/InvariantBasisNumber.lean,Mathlib/LinearAlgebra/Matrix/GeneralLinearGroup/MvPolynomial.lean,Mathlib/LinearAlgebra/Matrix/HadamardMatrix.lean,Mathlib/LinearAlgebra/Projectivization/PSL/PSL2.lean,Mathlib/LinearAlgebra/RootSystem/GeckConstruction/Semisimple.lean,Mathlib/LinearAlgebra/Transvection/Generation.lean,Mathlib/MeasureTheory/Function/L2Space.lean,Mathlib/MeasureTheory/Function/LpSpace/CompleteOfCompleteLp.lean,Mathlib/MeasureTheory/Integral/IntegralEqImproper.lean,Mathlib/MeasureTheory/Measure/Sub.lean,Mathlib/MeasureTheory/Measure/Typeclasses/ZeroOne.lean,Mathlib/MeasureTheory/VectorMeasure/SetIntegral.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/E2/Summable.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/E2/Transform.lean,Mathlib/NumberTheory/NumberField/ExistsRamified.lean,Mathlib/NumberTheory/NumberField/Ideal/Asymptotics.lean,Mathlib/NumberTheory/Padics/PadicVal/Defs.lean,Mathlib/NumberTheory/RamificationInertia/Valuation.lean,Mathlib/Order/CompleteLattice/PiLex.lean,Mathlib/Order/Filter/FilterProduct.lean,Mathlib/Order/Interval/Finset/Floor.lean,Mathlib/Order/Interval/Set/OrdConnected.lean,Mathlib/Order/Northcott.lean,Mathlib/Order/Quotient.lean |
136 |
8 |
['eric-wieser', 'github-actions', 'grunweg', 'marcelolynch', 'mathlib-merge-conflicts', 'urkud'] |
JovanGerb assignee:JovanGerb |
6-55883 6 days ago |
10-81819 10 days ago |
26-18834 26 days |
| 39736 |
NoahW314 author:NoahW314 |
feat(RingTheory/MvPolynomial/MonomialOrder): add `leadingTerm` lemmas |
Add lemmas for `leadingTerm` to match those for `leadingCoeff`.
---
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|
t-ring-theory |
87/0 |
Mathlib/RingTheory/MvPolynomial/MonomialOrder.lean |
1 |
5 |
['Hagb', 'NoahW314', 'github-actions'] |
jjdishere assignee:jjdishere |
6-55882 6 days ago |
77-47695 77 days ago |
77-47478 77 days |
| 41935 |
martinamaggio author:martinamaggio |
feat(Probability/Independence): grouping an independent family by pairwise disjoint index sets |
If `m : ι → MeasurableSpace Ω` is an independent family of σ-algebras and `G : ι' → Set ι` is a
pairwise disjoint family of index sets, then the family of grouped σ-algebras
`fun i' ↦ ⨆ j ∈ G i', m j` is again independent.
This is the indexed-family version of the existing two-group lemma `indep_iSup_of_disjoint`, from
which it follows by induction on the finite subfamily, peeling off one group at a time against the
union of the remaining ones. As usual it is proven for the kernel notion of independence
(`Kernel.iIndep_iSup_of_disjoint`) and specialized to independence w.r.t. a measure
(`iIndep_iSup_of_disjoint`) and to conditional independence (`iCondIndep_iSup_of_disjoint`).
The lemma is the natural bridge from an independent family to block/grouping arguments — e.g.
Markov-style properties of recursions driven by disjoint sets of randomness sources. It was
developed for a formalization of end-to-end latency distributions of periodic task chains, where it
establishes that successive chain states, being measurable w.r.t. σ-algebras of disjoint groups of
an independent family, form an independent family themselves. |
t-measure-probability
new-contributor
|
52/0 |
Mathlib/Probability/Independence/Basic.lean,Mathlib/Probability/Independence/Conditional.lean,Mathlib/Probability/Independence/Kernel/Indep.lean |
3 |
4 |
['bocowgill', 'github-actions'] |
kex-y assignee:kex-y |
6-55877 6 days ago |
19-66511 19 days ago |
19-66294 19 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 |
6-54976 6 days ago |
27-72014 27 days ago |
53-20558 53 days |
| 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 |
8 |
['JovanGerb', 'github-actions', 'kbuzzard', 'leanprover-radar', 'themathqueen'] |
nobody |
6-54973 6 days ago |
64-86386 64 days ago |
65-1534 65 days |
| 42360 |
vihdzp author:vihdzp |
chore: make `IsStronglyAtomic.of_wellFounded_lt` into an instance |
We use the `WellFoundedLT` typeclass, instead of writing `WellFounded (· < ·)` explicitly.
---
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t-order |
16/17 |
Mathlib/Algebra/Lie/Submodule.lean,Mathlib/Order/Atoms.lean |
2 |
1 |
['github-actions'] |
nobody |
6-50272 6 days ago |
6-52631 6 days ago |
6-52766 6 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
|
27/0 |
Mathlib/Combinatorics/Enumerative/DoubleCounting.lean |
1 |
2 |
['github-actions'] |
nobody |
6-48857 6 days ago |
6-48857 6 days ago |
6-48858 6 days |
| 39802 |
vihdzp author:vihdzp |
feat: more theorems on `toBoolRing` |
---
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|
t-algebra label:t-algebra$ |
24/0 |
Mathlib/Algebra/Ring/BooleanRing.lean |
1 |
11 |
['github-actions', 'plp127', 'themathqueen', 'vihdzp'] |
themathqueen assignee:themathqueen |
6-48043 6 days ago |
6-48595 6 days ago |
40-57273 40 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
|
129/0 |
Mathlib/Combinatorics/Quiver/Schreier.lean |
1 |
16 |
['YaelDillies', 'ZRTMRH', 'github-actions', 'mathlib-dependent-issues'] |
YaelDillies assignee:YaelDillies |
6-22894 6 days ago |
6-22894 6 days ago |
95-72888 95 days |
| 42324 |
yuanyi-350 author:yuanyi-350 |
feat(Topology/ContinuousMap): add bundled subtype coercion |
|
t-algebraic-topology |
17/0 |
Mathlib/Topology/ContinuousMap/Basic.lean |
1 |
2 |
['github-actions', 'joelriou'] |
nobody |
6-14510 6 days ago |
6-16212 6 days ago |
7-7678 7 days |
| 42349 |
teorth author:teorth |
feat(Analysis/SpecialFunctions/Gamma/Digamma): reflection formula for digamma |
Establishes the Euler reflection formula for the digamma function, by taking the log derivative of the corresponding reflection formula for the Gamma function.
---
Inspired by https://github.com/leanprover-community/mathlib4/pull/41120#discussion_r3695475523
An initial proof of this theorem was generated by an AI, but heavily rewritten by the author.
[](https://gitpod.io/from-referrer/)
|
t-analysis |
16/0 |
Mathlib/Analysis/SpecialFunctions/Gamma/Digamma.lean |
1 |
4 |
['felixpernegger', 'github-actions', 'teorth'] |
nobody |
6-7241 6 days ago |
6-63325 6 days ago |
6-63202 6 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 |
6-6029 6 days ago |
6-6891 6 days ago |
6-6778 6 days |
| 42371 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Basic): `Infinite V → Infinite (SimpleGraph V)` |
Matches the existing `Finite V → Finite (SimpleGraph V)`.
---
I wonder if there's an easier/shorter solution.
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|
t-combinatorics |
5/0 |
Mathlib/Combinatorics/SimpleGraph/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
6-5240 6 days ago |
6-5989 6 days ago |
6-5772 6 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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|
|
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'] |
nobody |
6-4659 6 days ago |
6-7967 6 days ago |
6-7750 6 days |
| 42273 |
astrainfinita author:astrainfinita |
chore: remove `CovariantClass` and `ContravariantClass` |
This PR continues the work from #13124.
Original PR: https://github.com/leanprover-community/mathlib4/pull/13124 |
t-algebra
t-order
tech debt
label:t-algebra$ |
526/322 |
Mathlib/Algebra/AddConstMap/Basic.lean,Mathlib/Algebra/Algebra/Operations.lean,Mathlib/Algebra/Algebra/Subalgebra/Pointwise.lean,Mathlib/Algebra/Group/Subgroup/Pointwise.lean,Mathlib/Algebra/Group/Submonoid/Pointwise.lean,Mathlib/Algebra/Module/Submodule/Pointwise.lean,Mathlib/Algebra/Order/AddTorsor.lean,Mathlib/Algebra/Order/Group/Action.lean,Mathlib/Algebra/Order/GroupWithZero/Basic.lean,Mathlib/Algebra/Order/GroupWithZero/Defs.lean,Mathlib/Algebra/Order/Monoid/Defs.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Basic.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Defs.lean,Mathlib/Algebra/Order/Monoid/Unbundled/OrderDual.lean,Mathlib/Algebra/Order/Monoid/Unbundled/WithTop.lean,Mathlib/Algebra/Order/Quantale.lean,Mathlib/Algebra/Order/Ring/Canonical.lean,Mathlib/Algebra/Order/Ring/WithTop.lean,Mathlib/Algebra/Ring/Subring/Pointwise.lean,Mathlib/Algebra/Ring/Subsemiring/Pointwise.lean,Mathlib/Analysis/RCLike/Basic.lean,Mathlib/Analysis/SumOverResidueClass.lean,Mathlib/Data/ENNReal/Action.lean,Mathlib/Data/EReal/Inv.lean,Mathlib/GroupTheory/OrderOfElement.lean,Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/Order/Filter/Pointwise.lean,Mathlib/RingTheory/DedekindDomain/Ideal/Basic.lean,Mathlib/RingTheory/Ideal/Pointwise.lean,Mathlib/RingTheory/Valuation/ValuationSubring.lean |
30 |
7 |
['astrainfinita', 'github-actions', 'leanprover-radar', 'vihdzp'] |
nobody |
6-4462 6 days ago |
7-6810 7 days ago |
7-9984 7 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 |
8 |
['github-actions', 'kbuzzard', 'leanprover-radar', 'mathlib-merge-conflicts', 'metakunt'] |
nobody |
6-2843 6 days ago |
11-7444 11 days ago |
11-7505 11 days |
| 42367 |
plp127 author:plp127 |
chore: remove `IsDedekindDomainDvr` |
Remove `IsDedekindDomainDvr`, because is the same as `IsDedekindDomain`. See [Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/three.20dedekind.20domains/near/574535735).
---
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t-ring-theory
tech debt
|
47/65 |
Mathlib/NumberTheory/NumberField/ExistsRamified.lean,Mathlib/RingTheory/DedekindDomain/Dvr.lean,Mathlib/RingTheory/Trace/Quotient.lean,Mathlib/RingTheory/Unramified/Dedekind.lean |
4 |
4 |
['github-actions', 'kbuzzard', 'plp127'] |
nobody |
6-769 6 days ago |
6-46641 6 days ago |
6-46789 6 days |
| 42322 |
EtienneC30 author:EtienneC30 |
refactor: change `ProbabilityMeasure.map` to not require measurability |
Currently, if `µ : ProbabilityMeasure X` and `f : X -> Y`, then to talk about the pushforward of `µ` by `f` one must assume `hf : AEMeasurable f µ` and write `µ.map hf`. The issue with this is that if `hf` is not available as is then providing it explicitly quickly gets the code hard to read (for instance in the PR I replaced some `f_cont.measurable.aemeasurable` by just `f`). Thus we change the definition so that `µ.map f` is some arbitrary Dirac mass if `f` is not measurable (note that `X` is not empty because it has a probability measure, and thus `Y` is not empty either).
The only issue seems to be that [MeasureTheory.ProbabilityMeasure.toMeasure_map](https://leanprover-community.github.io/mathlib4_docs/Mathlib/MeasureTheory/Measure/ProbabilityMeasure.html#MeasureTheory.ProbabilityMeasure.toMeasure_map) now requires a measurability hypothesis to trigger with `simp`, I personally think that's ok.
---
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t-measure-probability |
33/24 |
Mathlib/MeasureTheory/Function/ConvergenceInDistribution.lean,Mathlib/MeasureTheory/Measure/FiniteMeasureProd.lean,Mathlib/MeasureTheory/Measure/ProbabilityMeasure.lean |
3 |
5 |
['D-Thomine', 'EtienneC30', 'github-actions'] |
RemyDegenne assignee:RemyDegenne |
5-82559 5 days ago |
7-32880 7 days ago |
7-32663 7 days |
| 40180 |
FMLJohn author:FMLJohn |
feat(Topology/Spectral/ConstructibleTopology): the constructible topology on a compact quasi-separated space `X` equals the topology generated by the constructible subsets of `X` |
In this pull request, I have proved that the constructible topology on a compact quasi-separated space `X` equals the topology generated by the constructible subsets of `X`. This holds in particular for spectral spaces.
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t-topology |
84/2 |
Mathlib.lean,Mathlib/Order/BooleanSubalgebra.lean,Mathlib/Topology/Order/GenerateFromLattice.lean,Mathlib/Topology/Spectral/ConstructibleTopology.lean |
4 |
23 |
['FMLJohn', 'chrisflav', 'github-actions', 'plp127'] |
PatrickMassot and chrisflav assignee:PatrickMassot assignee:chrisflav |
5-79350 5 days ago |
17-78610 17 days ago |
54-69480 54 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 |
19/0 |
Mathlib/RingTheory/Adjoin/Polynomial/Basic.lean |
1 |
4 |
['github-actions', 'plp127'] |
nobody |
5-78755 5 days ago |
60-75934 60 days ago |
61-9275 61 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$ |
121/0 |
Mathlib/Data/DFinsupp/Defs.lean,Mathlib/LinearAlgebra/TensorProduct/Decomposition.lean,Mathlib/LinearAlgebra/TensorProduct/Map.lean |
3 |
2 |
['github-actions'] |
nobody |
5-72559 5 days ago |
5-72559 5 days ago |
5-72342 5 days |
| 35078 |
grunweg author:grunweg |
feat: immersed points |
Define immersed points of a (differentiable) map between manifolds, and prove that immersed points compose.
Future PRs show that `x` is an immersed point of `f` if and only if `f` is an immersion at `x`:
thus, proving the composition of immersed points (which follows immediately from the chain rule)
implies the composition of immersions (which is not obvious from their definition.
From the path towards immersions, embeddings and submanifolds.
---
- [x] depends on: #35057
- [x] depends on: #35284
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|
t-differential-geometry |
187/1 |
Mathlib.lean,Mathlib/Analysis/Normed/Module/ContinuousInverse.lean,Mathlib/Geometry/Manifold/ImmersedPoint.lean,Mathlib/Geometry/Manifold/LocalDiffeomorph.lean |
4 |
5 |
['github-actions', 'grunweg', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
sgouezel assignee:sgouezel |
5-55883 5 days ago |
23-73534 23 days ago |
23-73323 23 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'] |
joelriou assignee:joelriou |
5-55882 5 days ago |
38-23106 38 days ago |
50-69140 50 days |
| 40613 |
LLaurance author:LLaurance |
feat(Probability): expectation of a binomial random variable |
---
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|
t-measure-probability
maintainer-merge
|
16/1 |
Mathlib/Probability/Distributions/Binomial.lean |
1 |
3 |
['EtienneC30', 'github-actions'] |
nobody |
5-54977 5 days ago |
54-44112 54 days ago |
54-43895 54 days |
| 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 `Associate` 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 |
1 |
['github-actions'] |
nobody |
5-41070 5 days ago |
5-43607 5 days ago |
5-45667 5 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 |
5-35597 5 days ago |
12-13759 12 days ago |
12-13542 12 days |
| 42373 |
astrainfinita author:astrainfinita |
chore(Order/Defs/LinearOrder): move fundamental lemmas |
Also simplifies the proofs of several lemmas.
This prepares for #35881.
---
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|
t-order |
35/48 |
Mathlib/Algebra/Polynomial/Reverse.lean,Mathlib/Analysis/Normed/Module/Multilinear/Basic.lean,Mathlib/Data/List/Infix.lean,Mathlib/Order/Defs/LinearOrder.lean,Mathlib/Order/Lattice.lean,Mathlib/Order/MinMax.lean,Mathlib/Tactic/Order/ToInt.lean |
7 |
1 |
['github-actions', 'vihdzp'] |
nobody |
5-21816 5 days ago |
6-979 6 days ago |
6-762 6 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 |
5-19083 5 days ago |
5-19601 5 days ago |
5-37739 5 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
maintainer-merge
|
113/5 |
Mathlib/MeasureTheory/Function/UniformIntegrable.lean |
1 |
22 |
['CoolRmal', 'EtienneC30', 'FrankieNC', 'github-actions'] |
EtienneC30 assignee:EtienneC30 |
5-18118 5 days ago |
5-23633 5 days ago |
49-64765 49 days |
| 41847 |
stalex444 author:stalex444 |
feat(Analysis/Matrix): tightness of the Tsirelson bound |
This PR adds Mathlib/Analysis/Matrix/CHSH.lean, closing the "Future work" item in Mathlib/Algebra/Star/CHSH.lean (whose header is updated in this same PR; module registered via mk_all).
It 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 eigenvalue the Future-work item asked for).
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 |
5 |
['github-actions', 'stalex444'] |
nobody |
5-15923 5 days ago |
22-56463 22 days ago |
22-56246 22 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 |
5-15436 5 days ago |
21-78124 21 days ago |
21-77907 21 days |
| 41769 |
mckoen author:mckoen |
feat(CategoryTheory/Abelian/Subobject): correspondence theorem for subobjects in abelian categories |
Given a subobject `Y` of `X` in an abelian category, we construct an order-isomorphism between subobjects of the "quotient" `X/Y := cokernel (Y ↪ X)` and subobjects of `X` containing `Y`.
Following Popescu's "Abelian Categories with Applications to Rings and Modules", a morphism `f : X ⟶ Y` induces a functor `Subobject X ⥤ Subobject Y` by `X' ↦ kernel (cokernel.π (X'.arrow ≫ f))`, and a functor `Subobject Y ⥤ Subobject X` by `Y' ↦ kernel (f ≫ cokernel.π Y'.arrow)`. We show these are equivalent to the existing, generic `Subobject.exists` and `Subobject.pullback` functors, and use these to define the correspondence.
Some miscellaneous API is also added.
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|
t-category-theory |
337/9 |
Mathlib/CategoryTheory/Abelian/Basic.lean,Mathlib/CategoryTheory/Abelian/ShortExact.lean,Mathlib/CategoryTheory/Abelian/Subobject.lean,Mathlib/CategoryTheory/Subobject/Basic.lean,Mathlib/CategoryTheory/Subobject/Lattice.lean,Mathlib/CategoryTheory/Subobject/Limits.lean,Mathlib/CategoryTheory/Subobject/MonoOver.lean,docs/references.bib |
8 |
8 |
['github-actions', 'joelriou', 'justus-springer', 'mckoen', 'tb65536'] |
dagurtomas assignee:dagurtomas |
5-15101 5 days ago |
8-7057 8 days ago |
23-48695 23 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 |
5-9560 5 days ago |
21-25281 21 days ago |
34-21553 34 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 |
5-4315 5 days ago |
5-4881 5 days ago |
27-10654 27 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 |
5-3392 5 days ago |
16-37952 16 days ago |
16-40309 16 days |
| 42316 |
JovanGerb author:JovanGerb |
feat: use `max`/`min` for `union`/`intersection` in `Set`, `Finset`, `ZFSet`, `Class` |
This lets us write `∪`/`∩` for sets while the underlying constant is `max`/`min`. This is a follow-up to #32983, which made the same change for `⊆`, `⊂`, `⊇` and `⊃`. The implementation for `∪`/`∩` is analogous.
The first commit contains the implementation change, and all other commits are just adaptations.
Note that there are now two different special delaborators for `max`/`min`, because we already had the delaborator that chooses between `max`/`min` and `⊔`/`⊓`. It is important that the one for `∪`/`∩` is tried first. There is no priority mechanism for delaborators: they are always executed newest to oldest. So, this PR adds a (redundant) import to ensure that this order is respected.
- I modified the delaborator for `⊔`/`⊓` so that it doesn't fire if `LinearOrder` isn't imported. Due to the extra redundant import, that is now a more common situation and I think in that situation it's better to print `max a b` instead of `a ⊔ b`.
- It is now not anymore possible to write `simp [(· ∪ ·)]` due to elaboration issues. The same also already applied to `simp [(· ⊆ ·)]`.
- Many `simp` calls had to be fixed because the `simp` set for `max`/`min` contains more lemmas than what we had for `union`/`inter`. For example, `compl_inf` and `inf_of_le_left`/`inf_of_le_right` now also apply to intersections.
- In particular `inf_of_le_left`/`inf_of_le_right` are quite slow simp lemmas, which means that this PR gives a bit of slowdown.
- A `grind` call had to be fixed because it timed out. Originally, that `grind` call was already doing too much stuff, but it didn't quite reach its limits.
- Many `@[simp]` and some `@[gcongr]` tags could be removed because they are now subsumed by more general tags.
- I removed `@[mfld_simp]` from `inter_subset_left`, as it seemed a bit weird to have it there and not on its dual or its mirror lemma.
---
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|
tech debt |
329/413 |
Archive/Examples/Kuratowski.lean,Mathlib/Algebra/BigOperators/Finprod.lean,Mathlib/Algebra/BigOperators/Group/Finset/Basic.lean,Mathlib/Algebra/Lie/Basis/Prod.lean,Mathlib/Algebra/Module/SpanRank.lean,Mathlib/Algebra/MvPolynomial/Basic.lean,Mathlib/Algebra/Polynomial/Splits.lean,Mathlib/AlgebraicGeometry/Morphisms/UniversallyClosed.lean,Mathlib/AlgebraicGeometry/Scheme.lean,Mathlib/AlgebraicGeometry/ZariskisMainTheorem.lean,Mathlib/AlgebraicTopology/SimplicialSet/AnodyneExtensions/RelativeCellComplex.lean,Mathlib/AlgebraicTopology/SimplicialSet/Degenerate.lean,Mathlib/Analysis/Convex/Combination.lean,Mathlib/Analysis/InnerProductSpace/Projection/FiniteDimensional.lean,Mathlib/Analysis/Seminorm.lean,Mathlib/Analysis/SpecialFunctions/Log/NegMulLog.lean,Mathlib/CategoryTheory/Limits/Types/Pushouts.lean,Mathlib/Combinatorics/Additive/Dissociation.lean,Mathlib/Combinatorics/Matroid/Basic.lean,Mathlib/Combinatorics/Matroid/Minor/Contract.lean,Mathlib/Combinatorics/Matroid/Minor/Order.lean,Mathlib/Combinatorics/SetFamily/Compression/UV.lean,Mathlib/Combinatorics/SetFamily/FourFunctions.lean,Mathlib/Combinatorics/SimpleGraph/AdjMatrix.lean,Mathlib/Combinatorics/SimpleGraph/LineGraph.lean,Mathlib/Combinatorics/SimpleGraph/UniversalVerts.lean,Mathlib/Computability/TuringMachine/ToPartrec.lean,Mathlib/Data/Finmap.lean,Mathlib/Data/Finset/Basic.lean,Mathlib/Data/Finset/BooleanAlgebra.lean,Mathlib/Data/Finset/Lattice/Basic.lean,Mathlib/Data/Finset/Lattice/Lemmas.lean,Mathlib/Data/Finset/SDiff.lean,Mathlib/Data/Finset/Sups.lean,Mathlib/Data/Finset/SymmDiff.lean,Mathlib/Data/Finsupp/BigOperators.lean,Mathlib/Data/Multiset/UnionInter.lean,Mathlib/Data/Set/Basic.lean,Mathlib/Data/Set/Defs.lean,Mathlib/Data/Set/Disjoint.lean,Mathlib/Data/Set/Function.lean,Mathlib/Data/Set/Image.lean,Mathlib/Data/Set/Insert.lean,Mathlib/Data/Set/Subset.lean,Mathlib/Geometry/Manifold/IsManifold/ExtChartAt.lean,Mathlib/Geometry/Manifold/MFDeriv/Defs.lean,Mathlib/GroupTheory/CosetCover.lean,Mathlib/GroupTheory/Perm/Finite.lean,Mathlib/GroupTheory/Perm/Support.lean,Mathlib/LinearAlgebra/AffineSpace/AffineSubspace/Defs.lean,Mathlib/LinearAlgebra/Basis/Exact.lean,Mathlib/LinearAlgebra/LinearIndependent/Lemmas.lean,Mathlib/Logic/Equiv/Set.lean,Mathlib/MeasureTheory/Covering/LiminfLimsup.lean,Mathlib/MeasureTheory/MeasurableSpace/CountablyGenerated.lean,Mathlib/MeasureTheory/Measure/Decomposition/Hahn.lean,Mathlib/MeasureTheory/Measure/Haar/Unique.lean,Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/MeasureTheory/Measure/Typeclasses/ZeroOne.lean,Mathlib/MeasureTheory/OuterMeasure/AE.lean,Mathlib/MeasureTheory/PiSystem.lean,Mathlib/MeasureTheory/SetSemiring.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Semivariation.lean,Mathlib/NumberTheory/LSeries/ZetaZeros.lean,Mathlib/NumberTheory/WellApproximable.lean,Mathlib/Order/Birkhoff.lean,Mathlib/Order/BooleanAlgebra/Set.lean,Mathlib/Order/Bounds/Basic.lean,Mathlib/Order/Filter/Bases/Basic.lean,Mathlib/Order/Filter/Basic.lean,Mathlib/Order/Filter/Defs.lean,Mathlib/Order/Lattice.lean,Mathlib/Order/Lattice/Congruence.lean,Mathlib/Order/Notation.lean,Mathlib/Order/SupIndep.lean,Mathlib/RingTheory/PolynomialLaw/Basic.lean,Mathlib/RingTheory/RegularLocalRing/Polynomial.lean,Mathlib/SetTheory/ZFC/Basic.lean,Mathlib/SetTheory/ZFC/Class.lean,Mathlib/Tactic/SetNotationForOrder.lean,Mathlib/Topology/CWComplex/Classical/Basic.lean,Mathlib/Topology/Closure.lean,Mathlib/Topology/Compactification/StoneCech.lean,Mathlib/Topology/Connected/Clopen.lean,Mathlib/Topology/Constructible.lean,Mathlib/Topology/DiscreteSubset.lean,Mathlib/Topology/NhdsWithin.lean,Mathlib/Topology/OpenPartialHomeomorph/IsImage.lean,Mathlib/Topology/Sets/Compacts.lean,Mathlib/Topology/Sets/Opens.lean,Mathlib/Topology/UrysohnsLemma.lean,MathlibTest/Attribute/ToDual.lean,MathlibTest/Delab/SupInf.lean,MathlibTest/SetNotationForOrder.lean,MathlibTest/Simps.lean,MathlibTest/Tactic/GRewrite.lean,MathlibTest/Tactic/Order.lean |
97 |
8 |
['JovanGerb', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts'] |
nobody |
4-86147 4 days ago |
5-10390 5 days ago |
5-26307 5 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 |
4-83576 4 days ago |
73-53943 73 days ago |
73-53726 73 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 |
4-82110 4 days ago |
5-8956 5 days ago |
5-8739 5 days |
| 41559 |
JovanGerb author:JovanGerb |
chore(Data/List/MinMax): use `to_dual` |
This PR uses `to_dual` to translate some theorems about maxima and minima on lists.
---
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|
61/179 |
Mathlib/Data/List/MinMax.lean,Mathlib/Tactic/ToDual.lean,Mathlib/Tactic/Translate/ToDual.lean |
3 |
1 |
['github-actions'] |
nobody |
4-80630 4 days ago |
29-44854 29 days ago |
29-44637 29 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 |
4-80041 4 days ago |
4-80649 4 days ago |
17-37215 17 days |
| 40827 |
FrankieNC author:FrankieNC |
feat(MeasureTheory): coercion of a linear combination in Lp |
Adds `Lp.coeFn_linearCombination`: for finitely supported coefficients `c : ι →₀ 𝕜` and a family `f : ι → Lp E p μ`, the coercion of `Finsupp.linearCombination 𝕜 f c` is almost everywhere equal to `∑ i ∈ c.support, c i • ⇑(f i)`. |
t-measure-probability
brownian
|
4/0 |
Mathlib/MeasureTheory/Function/LpSpace/Basic.lean |
1 |
11 |
['CoolRmal', 'EtienneC30', 'FrankieNC', 'github-actions', 'j-loreaux'] |
RemyDegenne assignee:RemyDegenne |
4-80000 4 days ago |
4-81057 4 days ago |
48-20294 48 days |
| 42159 |
fbarroero author:fbarroero |
chore(NumberTheory/SiegelsLemma): simplify and golf proofs |
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|
t-number-theory |
37/74 |
Mathlib/NumberTheory/SiegelsLemma.lean |
1 |
6 |
['copilot-pull-request-reviewer', 'fbarroero', 'github-actions', 'leanprover-radar'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
4-79107 4 days ago |
11-64117 11 days ago |
11-63900 11 days |
| 39841 |
hawkrobe author:hawkrobe |
feat(RingTheory/HopfAlgebra): Construction on primitive elements |
Builds a Hopf algebra structure on a bialgebra generated by [primitive elements](https://github.com/leanprover-community/mathlib4/pull/31898#discussion_r2553181878).
---
Please let me know if it would be better to split into multiple PRs (e.g. `Bialgebra/Primitive.lean` first)!
* [x] depends on: #39785
|
t-ring-theory
new-contributor
|
392/0 |
Mathlib.lean,Mathlib/RingTheory/Bialgebra/Primitive.lean,Mathlib/RingTheory/Coalgebra/Primitive.lean,Mathlib/RingTheory/HopfAlgebra/Generators.lean,Mathlib/RingTheory/HopfAlgebra/Primitive.lean,docs/references.bib |
6 |
21 |
['YaelDillies', 'github-actions', 'hawkrobe', 'mathlib-bors', 'mathlib-merge-conflicts', 'themathqueen'] |
YaelDillies assignee:YaelDillies |
4-77240 4 days ago |
4-78065 4 days ago |
36-73338 36 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 |
9/2 |
Mathlib/Order/ConditionallyCompleteLattice/Finset.lean,Mathlib/Order/ConditionallyCompleteLattice/Indexed.lean |
2 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
bryangingechen assignee:bryangingechen |
4-75430 4 days ago |
4-78419 4 days ago |
86-59419 86 days |
| 41458 |
SnirBroshi author:SnirBroshi |
feat(Data/List/Basic): lists with equal `tail` and `dropLast` are equal |
(except for subsingleton lists), and also lists with equal `head?` and `tail`.
---
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|
t-data |
19/0 |
Mathlib/Data/List/Basic.lean |
1 |
4 |
['felixpernegger', 'github-actions'] |
nobody |
4-72855 4 days ago |
31-80549 31 days ago |
31-80332 31 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 |
4-71797 4 days ago |
4-73865 4 days ago |
4-73648 4 days |
| 41052 |
hawkrobe author:hawkrobe |
refactor(RingTheory/HopfAlgebra): relocate `ofSurjective` |
---
Cleanup after #39790, moves `HopfAlgebra.ofSurjective` to `HopfAlgebra/Convolution.lean` and extracts the convolution functoriality.
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
|
87/51 |
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 |
4-71445 4 days ago |
15-5706 15 days ago |
43-6215 43 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 |
4-68494 4 days ago |
7-63572 7 days ago |
7-63355 7 days |
| 42414 |
FrankieNC author:FrankieNC |
feat(Analysis/Convex): convex functions are locally Lipschitz on the intrinsic interior |
Prove the four `proof_wanted` statements in `Mathlib/Analysis/Convex/Continuous.lean`: a convex (resp. concave) function on a set `C` in a finite-dimensional real normed space is locally Lipschitz, hence continuous, on `intrinsicInterior ℝ C` — the intrinsic analogues of the existing `ConvexOn.locallyLipschitzOn_interior` and `ConvexOn.continuousOn_interior`.
- `ConvexOn.locallyLipschitzOn_intrinsicInterior` and its concave, `ContinuousOn` companions
- `Isometry.locallyLipschitzOn_image`: if `h ∘ g` is locally Lipschitz on `s` for an isometry `g`, then `h` is locally Lipschitz on `g '' s` |
t-analysis |
41/12 |
Mathlib/Analysis/Convex/Continuous.lean |
1 |
1 |
['github-actions'] |
nobody |
4-68088 4 days ago |
4-68728 4 days ago |
4-68511 4 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'] |
urkud assignee:urkud |
4-55883 4 days ago |
30-17287 30 days ago |
33-61797 33 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'] |
jjdishere assignee:jjdishere |
4-55883 4 days ago |
27-46086 27 days ago |
92-10819 92 days |
| 39799 |
NoahW314 author:NoahW314 |
chore(RingTheory/Ideal/Operations): deprecate duplicate theorem `Ideal.span_mul_span'` |
`Ideal.span_mul_span'` is identical to `Ideal.span_mul_span`.
---
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At one point, `Ideal.span_mul_span` and `Ideal.span_mul_span'` were distinct, but `Ideal.span_mul_span` was changed in #22151 to be identical to `Ideal.span_mul_span'`. |
t-ring-theory |
6/7 |
Mathlib/RingTheory/GradedAlgebra/Homogeneous/Ideal.lean,Mathlib/RingTheory/Ideal/Norm/RelNorm.lean,Mathlib/RingTheory/Ideal/Operations.lean,scripts/nolints_prime_decls.txt |
4 |
2 |
['faenuccio', 'github-actions'] |
alreadydone assignee:alreadydone |
4-55882 4 days ago |
75-52752 75 days ago |
75-52535 75 days |
| 41085 |
chrisflav author:chrisflav |
feat(CategoryTheory): stalks of a presheaf on an indiscrete topological space |
---
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[](https://gitpod.io/from-referrer/)
|
t-category-theory |
84/0 |
Mathlib/CategoryTheory/Limits/Shapes/Terminal.lean,Mathlib/Topology/Category/TopCat/OpenNhds.lean,Mathlib/Topology/Sheaves/Stalks.lean |
3 |
3 |
['chrisflav', 'github-actions', 'plp127'] |
joelriou assignee:joelriou |
4-55881 4 days ago |
42-71396 42 days ago |
42-72335 42 days |
| 41642 |
adomani author:adomani |
chore: add missing `to_additive` docstrings in Topology, Geometry and Analysis |
Adds the missing additive doc-strings (multiplicative side has a hand-written doc-string, additive side did not) across 20 file(s) in **Topology, Geometry and Analysis**.
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-differential-geometry
|
39/19 |
Mathlib/Geometry/Manifold/Algebra/SMul.lean,Mathlib/Geometry/Manifold/ContMDiff/Basic.lean,Mathlib/Geometry/Manifold/Instances/Quotient.lean,Mathlib/Topology/Algebra/Category/ProfiniteGrp/Basic.lean,Mathlib/Topology/Algebra/Group/DiscontinuousSubgroup.lean,Mathlib/Topology/Algebra/Group/OpenMapping.lean,Mathlib/Topology/Algebra/Group/Pointwise.lean,Mathlib/Topology/Algebra/Group/Quotient.lean,Mathlib/Topology/Algebra/InfiniteSum/Constructions.lean,Mathlib/Topology/Algebra/IsUniformGroup/DiscreteSubgroup.lean,Mathlib/Topology/Algebra/MulAction.lean,Mathlib/Topology/Algebra/Nonarchimedean/Basic.lean,Mathlib/Topology/Algebra/ProperAction/Basic.lean,Mathlib/Topology/Algebra/ProperAction/CompactlyGenerated.lean,Mathlib/Topology/Algebra/Support.lean,Mathlib/Topology/Connected/PathConnected.lean,Mathlib/Topology/Covering/Quotient.lean |
17 |
11 |
['adomani', 'github-actions', 'grunweg'] |
sgouezel assignee:sgouezel |
4-55880 4 days ago |
27-16272 27 days ago |
27-16055 27 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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[](https://gitpod.io/from-referrer/)
|
LLM-generated
new-contributor
t-measure-probability
|
143/1 |
Mathlib.lean,Mathlib/MeasureTheory/OuterMeasure/Caratheodory.lean,Mathlib/MeasureTheory/OuterMeasure/Regular.lean,README.md |
4 |
6 |
['github-actions', 'ijtejeda', 'tdwag123'] |
RemyDegenne assignee:RemyDegenne |
4-55879 4 days ago |
9-33758 9 days ago |
9-36465 9 days |
| 42165 |
bocowgill author:bocowgill |
feat(Probability/Independence): characterize independence using conditional distributions |
This PR uses conditional distributions to characterize independence of two random variables.
It adds the results below to `Mathlib/Probability/HasCondDistrib.lean`:
* `IndepFun.hasCondDistrib_const`: suppose that `P` is finite and that `X` and `Y` are a.e.-measurable. If `X` and `Y` are independent, then the constant kernel at the marginal distribution `P.map Y` is a conditional distribution of `Y` given `X`.
* `HasCondDistrib.indepFun_of_const`: conversely (assuming that `P` is finite), if the constant kernel at the marginal distribution `P.map Y` is a conditional distribution of `Y` given `X`, then `X` and `Y` are independent.
* `indepFun_iff_hasCondDistrib_const`: combines these implications into an equivalence (under the same finiteness and a.e.-measurability assumptions).
In addition, this PR also adds the new file `Mathlib/Probability/Independence/CondDistrib.lean`. The main theorem in this file, `indepFun_iff_condDistrib_ae_eq_const`, states that (assuming that `P` is finite) for a.e.-measurable random variables `X` and `Y`, with `Y` taking values in a nonempty standard Borel space, `X` and `Y` are independent if and only if the conditional distribution of `Y` given `X` is equal, `P.map X`-almost everywhere, to the constant kernel at the marginal distribution `P.map Y`. The new file is also added 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
|
72/0 |
Mathlib.lean,Mathlib/Probability/HasCondDistrib.lean,Mathlib/Probability/Independence/CondDistrib.lean |
3 |
3 |
['bocowgill', 'github-actions'] |
kex-y assignee:kex-y |
4-55877 4 days ago |
11-45013 11 days ago |
11-44796 11 days |
| 41799 |
FrankieNC author:FrankieNC |
feat(Topology/MetricSpace): differentiable maps do not increase Hausdorff dimension |
Add the Luzin N property of differentiable maps and deduce that differentiable maps do not increase Hausdorff dimension, over any nontrivially normed field with no finite-dimensionality or separability assumptions:
- `MeasureTheory.Measure.isSeparable_of_hausdorffMeasure_ne_top`: a set with `μH[d] s ≠ ∞` is separable
- `DifferentiableOn.hausdorffMeasure_image_eq_zero`: if `f` is differentiable on `t` and `μH[d] t = 0` for some `0 ≤ d`, then `μH[d] (f '' t) = 0`
- `DifferentiableOn.dimH_image_le`: `dimH (f '' t) ≤ dimH t`, as a corollary of the Luzin N property
- `Differentiable.dimH_range_le`, `DifferentiableOn.dense_compl_image_of_dimH_lt_finrank`, `Differentiable.dense_compl_range_of_finrank_lt_finrank`: differentiable versions of the Sard-type corollaries; `dense_compl_of_dimH_lt_finrank` and these corollaries also drop `FiniteDimensional` instance assumptions that already follow from their hypotheses
This resolves the TODO on `ContDiffOn.dimH_image_le`: the `Convex ℝ s` hypothesis is not needed. The four `ContDiff`/`ContDiffOn` lemmas (`ContDiffOn.dimH_image_le`, `ContDiff.dimH_range_le`, `ContDiffOn.dense_compl_image_of_dimH_lt_finrank`, `ContDiff.dense_compl_range_of_finrank_lt_finrank`) are deprecated in favour of the `Differentiable` versions. |
t-topology
maintainer-merge
|
103/28 |
Mathlib/MeasureTheory/Measure/Hausdorff.lean,Mathlib/Topology/MetricSpace/HausdorffDimension.lean |
2 |
18 |
['CoolRmal', 'FrankieNC', 'github-actions'] |
CoolRmal assignee:CoolRmal |
4-55214 4 days ago |
5-19796 5 days ago |
22-54911 22 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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[](https://gitpod.io/from-referrer/)
|
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'] |
nobody |
4-54979 4 days ago |
32-29531 32 days ago |
35-13595 35 days |
| 41428 |
chrisflav author:chrisflav |
feat(Algebra/Category/ModuleCat): submodules of sheaves of modules |
---
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[](https://gitpod.io/from-referrer/)
|
t-category-theory
LLM-generated
|
148/0 |
Mathlib.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/Submodule.lean,Mathlib/Algebra/Category/ModuleCat/Sheaf/Submodule.lean,Mathlib/CategoryTheory/Sites/Whiskering.lean |
4 |
2 |
['chrisflav', 'github-actions'] |
nobody |
4-54978 4 days ago |
32-66671 32 days ago |
32-66492 32 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'] |
nobody |
4-54977 4 days ago |
31-26923 31 days ago |
31-26706 31 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 |
4-54367 4 days ago |
4-72080 4 days ago |
4-71863 4 days |
| 42350 |
sankalpsthakur author:sankalpsthakur |
feat(Computability): characterize halted TM1 configurations |
Adds `Turing.TM1.step_none_iff`, characterizing exactly when a single TM1 step returns `none`: iff the configuration's current label is already `none`. Tagged `@[simp]`.
Motivated by #35366.
### Validation
Built locally: `lake build Mathlib.Computability.TuringMachine.PostTuringMachine` — succeeds (688 jobs, cache-backed).
Closes #35366
### 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-computability
new-contributor
LLM-generated
|
5/0 |
Mathlib/Computability/TuringMachine/PostTuringMachine.lean |
1 |
2 |
['github-actions'] |
nobody |
4-50680 4 days ago |
4-51271 4 days ago |
5-48631 5 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 |
4-50451 4 days ago |
6-60627 6 days ago |
6-60410 6 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 |
3 |
['github-actions'] |
nobody |
4-49333 4 days ago |
6-60609 6 days ago |
6-60392 6 days |
| 42356 |
sankalpsthakur author:sankalpsthakur |
fix(Tactic/Lift): preserve abbreviated target types |
`lift n to MyNat using hn` where `MyNat` is an `abbrev` could produce a proof term whose displayed/elaborated type unfolds the abbreviation to its underlying type, losing the connection to `MyNat`-specific declarations (e.g. a subsequent call to a `MyNat`-namespaced lemma would fail to resolve).
Wraps the synthesized proof term in an explicit `show ∃ _ : $t, _ from …` ascription using the originally-written target syntax `t`, so the abbreviation is preserved rather than unfolded.
Closes #15865.
-------
### Validation
- Built locally: `lake build Mathlib.Tactic.Lift` and `lake build MathlibTest.Tactic.Lift` — both succeed, including the new regression test (lifting to an `abbrev`-defined `MyNat` and calling a `MyNat`-namespaced lemma on the result).
- Scope note: `lift` is used in roughly 241 files across Mathlib. I verified the tactic's own implementation and its dedicated test suite build cleanly, but did not rebuild the full library to check every existing call site — the ascription should be semantically transparent (same term, explicit type), but I'm relying on CI for full-library confirmation rather than claiming that coverage myself.
### 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-meta
new-contributor
LLM-generated
|
17/2 |
Mathlib/Tactic/Lift.lean,MathlibTest/Tactic/Lift.lean |
2 |
2 |
['github-actions'] |
thorimur assignee:thorimur |
4-48423 4 days ago |
6-60596 6 days ago |
6-60379 6 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 |
4-45249 4 days ago |
5-54835 5 days ago |
5-54618 5 days |
| 42224 |
matt-w-horn author:matt-w-horn |
doc: sync area READMEs with the directory tree |
These four README topic lists are out of date.
`Order/README.md` was missing `Order.ConditionallyCompletePartialOrder`, which sits between `CompleteLattice` and `ConditionallyCompleteLattice` in the import chain. The three convex ones were missing files that have been added since.
No Lean changes.
Claude Fable checked the READMEs against the directory tree and suggested the additions; I made the edits.
Assisted-by: Claude Fable 5 |
easy
new-contributor
LLM-generated
t-convex-geometry
|
8/0 |
Mathlib/Analysis/Convex/Cone/README.md,Mathlib/Geometry/Convex/Cone/README.md,Mathlib/Geometry/Convex/README.md,Mathlib/Order/README.md |
4 |
15 |
['YaelDillies', 'github-actions', 'mathlib-bors', 'matt-w-horn'] |
YaelDillies assignee:YaelDillies |
4-45153 4 days ago |
5-63796 5 days ago |
7-85207 7 days |
| 42425 |
mcdoll author:mcdoll |
chore(LinearAlgebra/LinearPMap): change lemma to use `LinearMap.range` |
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|
t-algebra label:t-algebra$ |
5/5 |
Mathlib/LinearAlgebra/LinearPMap.lean |
1 |
1 |
['github-actions'] |
nobody |
4-42409 4 days ago |
4-44087 4 days ago |
4-43870 4 days |
| 41656 |
joelriou author:joelriou |
feat(AlgebraicTopology): order relation between simplices of the nerve of a partial order |
This is applied to the characterization of the order relation between simplices of `Δ[p] ⊗ Δ[q]`.
---
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t-algebraic-topology
maintainer-merge
|
64/2 |
Mathlib/AlgebraicTopology/SimplicialSet/NerveNondegenerate.lean,Mathlib/AlgebraicTopology/SimplicialSet/ProdStdSimplex.lean,Mathlib/AlgebraicTopology/SimplicialSet/Subcomplex.lean |
3 |
6 |
['github-actions', 'joelriou', 'robin-carlier'] |
nobody |
4-36309 4 days ago |
23-15263 23 days ago |
26-30273 26 days |
| 42396 |
joelriou author:joelriou |
feat(CategoryTheory): properties of objects that are closed under finite limits |
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|
t-category-theory |
63/8 |
Mathlib.lean,Mathlib/CategoryTheory/ObjectProperty/FiniteLimits.lean,Mathlib/CategoryTheory/ObjectProperty/LimitsOfShape.lean |
3 |
4 |
['faenuccio', 'github-actions', 'joelriou', 'robin-carlier'] |
nobody |
4-34902 4 days ago |
5-38982 5 days ago |
5-38765 5 days |
| 42418 |
FrankieNC author:FrankieNC |
chore(Data/Finset/Prod): state `singleton_product`/`product_singleton` via `sectR`/`sectL` |
The embeddings in the statements of `Finset.singleton_product` and `Finset.product_singleton` are `Function.Embedding.sectR`/`sectL` written out as anonymous constructors. Restate them via the named embeddings (the statements are definitionally unchanged), so call sites can rewrite with the `sectR_apply`/`sectL_apply` simp lemmas instead of `Embedding.coeFn_mk`. Update the two call sites that did the latter, and golf `singleton_product_singleton`, which is now `rfl`.
Preparation for a follow-up PR replacing the `aesop` proofs of the `{Icc,Ico,Ioc,Ioo,uIcc}_map_{sectL,sectR}` lemmas in `Order/Interval/Finset/Basic`.
|
t-topology
easy
maintainer-merge
|
5/8 |
Mathlib/Analysis/Fourier/FourierTransformDeriv.lean,Mathlib/Data/Finset/Prod.lean,Mathlib/Topology/EMetricSpace/PairReduction.lean |
3 |
2 |
['github-actions', 'grunweg'] |
nobody |
4-27375 4 days ago |
4-60109 4 days ago |
4-59892 4 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 |
4-23496 4 days ago |
5-75744 5 days ago |
5-75527 5 days |
| 41618 |
joelriou author:joelriou |
chore(Order/Relseries): cleaning up a proof |
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|
t-order |
14/45 |
Mathlib/Order/RelSeries.lean |
1 |
3 |
['Whysoserioushah', 'chenson2018', 'github-actions'] |
nobody |
4-23353 4 days ago |
27-8048 27 days ago |
28-12875 28 days |
| 36418 |
j-loreaux author:j-loreaux |
feat: add `IsMulCommutative` instances for topological closures of subobjects |
---
- [ ] depends on: #36549
- [ ] depends on: #36552
- [ ] depends on: #36553
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|
t-topology
t-algebra
label:t-algebra$ |
177/72 |
Mathlib/Analysis/CStarAlgebra/Classes.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Basic.lean,Mathlib/Analysis/CStarAlgebra/GelfandDuality.lean,Mathlib/Topology/Algebra/Algebra.lean,Mathlib/Topology/Algebra/Group/Basic.lean,Mathlib/Topology/Algebra/Monoid.lean,Mathlib/Topology/Algebra/NonUnitalAlgebra.lean,Mathlib/Topology/Algebra/NonUnitalStarAlgebra.lean,Mathlib/Topology/Algebra/Ring/Basic.lean,Mathlib/Topology/Algebra/StarSubalgebra.lean |
10 |
31 |
['github-actions', 'j-loreaux', 'leanprover-radar', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'themathqueen'] |
ocfnash assignee:ocfnash |
4-22357 4 days ago |
4-70353 4 days ago |
15-50536 15 days |
| 41498 |
pepamontero author:pepamontero |
feat(Analysis/SpecificLimits/Normed): the sum ∑' n, n ^ k * r ^ n via Stirling numbers |
For `‖r‖ < 1`, compute `∑' n : ℕ, n ^ k * r ^ n` as the finite sum `∑ j ∈ range (k + 1), S(k, j) * j ! * r ^ j / (1 - r) ^ (j + 1)`, where `S(k, j)` are the Stirling numbers of the second kind.
**Motivation:** a special case of `tsum_sq_mul_geometric_of_norm_lt_one` over `ℂ` was proved in the FLT project and is generalized here to match the surrounding Mathlib API; the private FLT lemma can then be replaced by this one.
**Main additions to `Normed.lean`:**
- The general power formula:
- `hasSum_pow_mul_geometric_of_norm_lt_one'` / `tsum_pow_mul_geometric_of_norm_lt_one'`: for `‖r‖ < 1` in a general ring, `∑' n, n ^ k * r ^ n = ∑ j ∈ range (k + 1), S(k, j) * j ! * r ^ j * ((1 - r)⁻¹ʳ) ^ (j + 1)`.
- `hasSum_pow_mul_geometric_of_norm_lt_one` / `tsum_pow_mul_geometric_of_norm_lt_one`: the same in a field, with `/ (1 - r) ^ (j + 1)`.
- The `descFactorial` special case that supplies each term of that sum:
- `hasSum_descFactorial_mul_geometric_of_norm_lt_one'` / `tsum_descFactorial_mul_geometric_of_norm_lt_one'`: for `‖r‖ < 1` in a general ring, `∑' n, n.descFactorial j * r ^ n = j ! * r ^ j * ((1 - r)⁻¹ʳ) ^ (j + 1)`.
- `hasSum_descFactorial_mul_geometric_of_norm_lt_one` / `tsum_descFactorial_mul_geometric_of_norm_lt_one`: the field versions, with `/ (1 - r) ^ (j + 1)`.
**Additions to other files:**
- `Combinatorics/Enumerative/Stirling.lean`: `Nat.pow_eq_sum_stirlingSecond_mul_descFactorial`, expressing every power `n ^ k` as a linear combination `n ^ k = ∑ j ∈ range (k + 1), stirlingSecond k j * n.descFactorial j`.
- `Data/Nat/Factorial/Basic.lean`: `Nat.descFactorial_mul_self`, the identity `n.descFactorial j * n = n.descFactorial (j + 1) + j * n.descFactorial j`, used in the induction proving the Stirling result above.
**Other changes:**
- `summable_pow_mul_geometric_of_norm_lt_one` (statement unchanged) is now a one-line consequence of the general formula; its previous proof via `ascPochhammer` is deleted, so the `RingTheory.Polynomial.Pochhammer` import is no longer needed.
- The statement of `summable_descFactorial_mul_geometric_of_norm_lt_one` changes from the shifted summand `(n + k).descFactorial k * r ^ n` to `n.descFactorial k * r ^ n`, to match the new `hasSum`/`tsum` lemmas. It had no other uses in Mathlib, and the shifted form is recoverable in one line from `summable_choose_mul_geometric_of_norm_lt_one`.
- The proof of `hasSum_coe_mul_geometric_of_norm_lt_one'` (`k = 1`) is simplified using the general formula, and the `k = 2` case is added: `∑' n, n ^ 2 * r ^ n = r * (1 + r) / (1 - r) ^ 3` (`hasSum_sq_mul_geometric_of_norm_lt_one'` and the three companion lemmas).
- The redundant imports mentioned above have now been removed; this required import edits in 8 dependent files that had relied on them transitively.
**AI Disclosure**: this code originated in the FLT project, where an initial version was written by William Coram and Samuel Yin with AI assistance (Claude, later cleaned up with Codex). It has since been substantially rewritten for this PR; little of the original generated code remains.
Co-authored-by: Malhar A. Patel <142735852+Mal-Pat@users.noreply.github.com>
Co-authored-by: William Coram
Co-authored-by: Samuel Yin
---
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|
new-contributor
large-import
t-analysis
maintainer-merge
|
195/83 |
Mathlib/Analysis/Calculus/ContDiff/Defs.lean,Mathlib/Analysis/SpecialFunctions/OrdinaryHypergeometric.lean,Mathlib/Analysis/SpecialFunctions/Pochhammer.lean,Mathlib/Analysis/SpecialFunctions/PolynomialExp.lean,Mathlib/Analysis/SpecialFunctions/Pow/Deriv.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean,Mathlib/Analysis/SpecificLimits/Normed.lean,Mathlib/Combinatorics/Enumerative/Stirling.lean,Mathlib/Data/Nat/Factorial/Basic.lean,Mathlib/InformationTheory/Coding/KraftMcMillan.lean,Mathlib/Topology/Instances/CantorSet.lean |
11 |
34 |
['Mal-Pat', 'YaelDillies', 'github-actions', 'grunweg', 'pepamontero'] |
nobody |
4-19456 4 days ago |
22-70894 22 days ago |
28-7227 28 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 |
4-13959 4 days ago |
5-84349 5 days ago |
6-1726 6 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'] |
nobody |
4-10258 4 days ago |
45-64849 45 days ago |
45-64632 45 days |
| 42439 |
xroblot author:xroblot |
feat(Algebra/QuadraticAlgebra): injectivity and surjectivity of `lift` |
Add API for the algebra map `QuadraticAlgebra.lift`:
* `range_lift`: its range is the subalgebra generated by `u`;
* `lift_surjective_iff`: surjective iff `u` generates the algebra;
* `lift_injective_iff`: injective iff `1` and `u` are linearly independent.
Also add the basis decomposition `re_smul_add_im_smul` (used to golf `algHom_ext`)
and `adjoin_omega_eq_top`. |
t-algebra
tech debt
label:t-algebra$ |
39/3 |
Mathlib/Algebra/QuadraticAlgebra/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
4-10217 4 days ago |
4-10826 4 days ago |
4-10609 4 days |
| 42408 |
fbarroero author:fbarroero |
chore(Algebra/Order/Ring/IsNonarchimedean): remove FunLike hypotheses and generalize statements |
This PR generalizes the `IsNonarchimedean` API from `FunLike` maps to arbitrary functions `f : α → R`, replacing bundled typeclass assumptions with explicit hypotheses.
---
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|
|
227/196 |
Mathlib/Algebra/Order/Hom/Basic.lean,Mathlib/Algebra/Order/Ring/IsNonarchimedean.lean,Mathlib/Analysis/Normed/Unbundled/FiniteExtension.lean,Mathlib/Analysis/Normed/Unbundled/RingSeminorm.lean,Mathlib/Analysis/Normed/Unbundled/SpectralNorm.lean,Mathlib/NumberTheory/Height/NumberField.lean,Mathlib/NumberTheory/NumberField/Completion/FinitePlace.lean,Mathlib/NumberTheory/Padics/PadicNorm.lean,Mathlib/RingTheory/MvPowerSeries/GaussNorm.lean,Mathlib/RingTheory/Polynomial/GaussNorm.lean |
10 |
11 |
['WilliamCoram', 'copilot-pull-request-reviewer', 'fbarroero', 'github-actions', 'leanprover-radar', 'riccardobrasca'] |
nobody |
4-10090 4 days ago |
4-17727 4 days ago |
4-17523 4 days |
| 42187 |
alreadydone author:alreadydone |
chore(Polynomial/GaussLemma): generalize dvd lemmas |
Only the divisor needs to be monic, and integral closedness isn't used.
---
#find_home returns:
[Mathlib.Algebra.Polynomial.PartialFractions, Mathlib.Algebra.Polynomial.Roots, Mathlib.RingTheory.FractionalIdeal.Operations, Mathlib.RingTheory.IntegralClosure.IsIntegral.AlmostIntegral],
none of which seems better than the current file.
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|
t-ring-theory
t-algebra
easy
label:t-algebra$ |
7/14 |
Mathlib/RingTheory/Polynomial/GaussLemma.lean |
1 |
3 |
['bocowgill', 'github-actions'] |
nobody |
4-7118 4 days ago |
11-8921 11 days ago |
11-8776 11 days |
| 42405 |
FrankieNC author:FrankieNC |
perf(Data/Rel): replace aesop proofs with explicit proofs |
Replace all 56 `aesop` calls with explicit proofs. Proofs only; no statement changes.
See benchmark results below.
---
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|
t-data |
171/74 |
Mathlib/Data/Rel.lean |
1 |
14 |
['FrankieNC', 'chenson2018', 'github-actions', 'leanprover-radar'] |
nobody |
4-4672 4 days ago |
4-6714 4 days ago |
4-82976 4 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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|
|
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 |
4-3144 4 days ago |
4-7367 4 days ago |
4-10105 4 days |
| 42442 |
vlad902 author:vlad902 |
doc(MetricSpace): fix docstring for `Dist` class |
---
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|
t-topology |
1/1 |
Mathlib/Topology/MetricSpace/Pseudo/Defs.lean |
1 |
1 |
['github-actions'] |
nobody |
4-2583 4 days ago |
4-4221 4 days ago |
4-4004 4 days |
| 42415 |
j-loreaux author:j-loreaux |
feat: generalize type class assumptions for `PositiveLinearMap.preGNS` and prove the Cauchy-Schwarz lemma |
In particular, we show:
```lean
lemma norm_map_star_mul_le (f : A →ₚ[ℂ] ℂ) (x y : A) :
‖f (star x * y)‖ ≤ √‖f (star x * x)‖ * √‖f (star y * y)‖
```
for `A` a non-unital star-ordered `ℂ`-algebra (and we create an alias `cauchy_schwarz_star_mul` for discoverability). The generalization away from C⋆-algebras allows this material to be used for type synonyms of C⋆-algebras with alternative topologies.
---
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|
t-analysis
maintainer-merge
|
48/3 |
Mathlib/Analysis/CStarAlgebra/GelfandNaimarkSegal.lean |
1 |
9 |
['github-actions', 'j-loreaux', 'themathqueen'] |
nobody |
3-85430 3 days ago |
4-3692 4 days ago |
4-65147 4 days |
| 37956 |
artie2000 author:artie2000 |
feat(Algebra/Polynomial): lemmas about polynomial degree |
* Add various small lemmas for computing polynomial degree
* Change a `hint` test to be slightly "harder" since `simp` gets more powerful
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|
t-algebra label:t-algebra$ |
23/5 |
Mathlib/Algebra/Polynomial/Degree/Defs.lean,Mathlib/Algebra/Polynomial/Degree/Operations.lean,Mathlib/Algebra/Polynomial/FieldDivision.lean,Mathlib/Algebra/Polynomial/Monic.lean,MathlibTest/Tactic/Hint/All.lean |
5 |
10 |
['artie2000', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
kim-em assignee:kim-em |
3-85348 3 days ago |
4-1693 4 days ago |
47-44691 47 days |
| 42428 |
mo271 author:mo271 |
feat(Algebra/Polynomial/HasseDeriv): add `hasseDeriv_map` |
This is from Formal Conjecture's ForMathlib:
originally added by @shamEiNew in
https://github.com/google-deepmind/formal-conjectures/pull/150
This is analogous to `Polynomial.derivative_map` for the standard derivative.
---
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|
t-algebra label:t-algebra$ |
6/0 |
Mathlib/Algebra/Polynomial/HasseDeriv.lean |
1 |
2 |
['github-actions', 'mo271'] |
nobody |
3-85216 3 days ago |
4-43 3 days ago |
4-33092 4 days |
| 42438 |
Garmelon author:Garmelon |
chore: bench linters even if they fail |
Previously, a !bench run would abort as soon as some linters failed. Now, it continues and measures the linters regardless of whether they accept the code.
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[](https://gitpod.io/from-referrer/)
|
CI |
22/9 |
scripts/bench/lint/run,scripts/bench/measure.py |
2 |
3 |
['Garmelon', 'github-actions', 'leanprover-radar'] |
nobody |
3-85025 3 days ago |
4-10020 4 days ago |
4-9874 4 days |
| 42156 |
tb65536 author:tb65536 |
doc(Algebra/Module/ZLattice/Basic): fix `ZLattice.comap` docstring |
The linear map in the `ZLattice.comap` docstring was the wrong way around.
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|
t-ring-theory
t-algebra
documentation
easy
maintainer-merge
label:t-algebra$ |
5/5 |
Mathlib/Algebra/Module/ZLattice/Basic.lean |
1 |
3 |
['github-actions', 'joneugster', 'plp127'] |
joneugster assignee:joneugster |
3-84435 3 days ago |
11-71578 11 days ago |
11-71363 11 days |
| 42105 |
vlad902 author:vlad902 |
feat(Algebra): `center` map lemmas |
Plumb lemmas showing surjective homs/isos map centers to centers throughout the algebra hierarchy.
---
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|
t-algebra label:t-algebra$ |
182/25 |
Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean,Mathlib/Algebra/Algebra/Subalgebra/Basic.lean,Mathlib/Algebra/Group/Center.lean,Mathlib/Algebra/Ring/Subring/Basic.lean,Mathlib/Algebra/Ring/Subsemiring/Basic.lean,Mathlib/Algebra/Star/NonUnitalSubalgebra.lean,Mathlib/GroupTheory/Subgroup/Center.lean,Mathlib/GroupTheory/Submonoid/Center.lean,Mathlib/RingTheory/NonUnitalSubring/Basic.lean,Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean |
10 |
50 |
['SnirBroshi', 'github-actions', 'tb65536', 'themathqueen', 'vlad902'] |
themathqueen assignee:themathqueen |
3-84326 3 days ago |
4-4504 4 days ago |
11-9269 11 days |
| 41617 |
joelriou author:joelriou |
feat(Order/Fin): conditions for `Fin.insertNth` to be monotone or strictly monotone |
---
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|
t-order |
86/0 |
Mathlib.lean,Mathlib/Order/Fin/InsertNth.lean |
2 |
6 |
['Whysoserioushah', 'github-actions', 'joelriou', 'robin-carlier'] |
nobody |
3-83852 3 days ago |
4-38593 4 days ago |
27-38885 27 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'] |
JovanGerb assignee:JovanGerb |
3-83198 3 days ago |
35-31550 35 days ago |
35-31868 35 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 |
3-83131 3 days ago |
3-84336 3 days ago |
22-66120 22 days |
| 41503 |
JovanGerb author:JovanGerb |
feat(GRewrite): support strict rewriting in `>`/`≥` |
This PR adds `gcongr strict` tags in order to support strict rewriting in `≥`/`>`. Previously this only worked in `≤`/`<`.
---
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|
t-meta
maintainer-merge
|
9/0 |
Mathlib/Order/Basic.lean,MathlibTest/Tactic/GRewrite.lean |
2 |
4 |
['JovanGerb', 'github-actions', 'grunweg'] |
nobody |
3-83050 3 days ago |
31-2801 31 days ago |
31-2584 31 days |
| 35402 |
samueloettl author:samueloettl |
feat(Dynamics/BirkhoffSum): birkhoffAverage const |
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I think this is useful and one of these should be a simp lemma.
I'm not really sure if I got the naming of the theorems correct.
When generalizing to the assumption (n : R) ≠ 0 instead of the special case CharZero R with n ≠ 0 I had to use "open Classical in". I'm a bit unfamiliar with that part so please check if this makes sense. See also https://github.com/leanprover-community/mathlib4/pull/35307#discussion_r2823586252
[](https://gitpod.io/from-referrer/)
|
t-dynamics
new-contributor
|
14/0 |
Mathlib/Dynamics/BirkhoffSum/Average.lean |
1 |
39 |
['Maldooor', 'github-actions', 'lua-vr', 'mcdoll', 'plp127', 'samueloettl'] |
nobody |
3-82291 3 days ago |
101-7929 101 days ago |
167-6525 167 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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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
168/141 |
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 |
12 |
['github-actions', 'leanprover-radar', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mortarsanjaya', 'themathqueen'] |
nobody |
3-82006 3 days ago |
3-84183 3 days ago |
52-15511 52 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 |
3-80719 3 days ago |
3-83719 3 days ago |
3-83502 3 days |
| 37199 |
mckoen author:mckoen |
feat(CategoryTheory/Monoidal/Arrow): pushout-products of monomorphisms are monic |
Proves conditions under which the pushout-product of two monomorphisms is again a monomorphism.
- [x] depends on: #33935
---
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|
t-category-theory |
109/1 |
Mathlib.lean,Mathlib/CategoryTheory/Adhesive/Basic.lean,Mathlib/CategoryTheory/Adhesive/PushoutProduct.lean,Mathlib/CategoryTheory/Monoidal/Cartesian/Basic.lean |
4 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
3-80467 3 days ago |
3-82314 3 days ago |
3-82541 3 days |
| 38664 |
joelriou author:joelriou |
feat(AlgebraicTopology/SimplicialSet): more API for `SSet.op` |
---
- [x] depends on: #38662
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|
t-algebraic-topology
tech debt
maintainer-merge
|
136/36 |
Mathlib/AlgebraicTopology/SimplexCategory/Rev.lean,Mathlib/AlgebraicTopology/SimplicialObject/Op.lean,Mathlib/AlgebraicTopology/SimplicialSet/KanComplex/MulStruct.lean,Mathlib/AlgebraicTopology/SimplicialSet/Op.lean,Mathlib/AlgebraicTopology/SimplicialSet/StdSimplex.lean |
5 |
18 |
['github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'robin-carlier'] |
dagurtomas assignee:dagurtomas |
3-74648 3 days ago |
3-75864 3 days ago |
42-83927 42 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
|
59/18 |
Mathlib.lean,Mathlib/Analysis/Distribution/SchwartzSpace.lean,Mathlib/Analysis/Distribution/SchwartzSpace/Basic.lean,Mathlib/Analysis/Distribution/SchwartzSpace/DenseLp.lean,Mathlib/Analysis/Fourier/LpSpace.lean |
5 |
4 |
['FawadHa1der', 'github-actions'] |
nobody |
3-72395 3 days ago |
3-73057 3 days ago |
3-73021 3 days |
| 42266 |
menon-codes author:menon-codes |
refactor: making trans usage explicit with kerLift |
Slightly simplifies the argument used in `exists_integral_inj_algHom_of_quotient` for clarity.
This is also needed to fix a small edge case present in a linter I am making as discussed here: [#mathlib4 > Linter for ellipsis @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Linter.20for.20ellipsis/near/613523943) |
t-ring-theory
new-contributor
maintainer-merge
|
2/5 |
Mathlib/RingTheory/NoetherNormalization.lean |
1 |
8 |
['copilot-pull-request-reviewer', 'github-actions', 'grunweg', 'menon-codes'] |
nobody |
3-72233 3 days ago |
4-3966 4 days ago |
9-46255 9 days |
| 42455 |
plp127 author:plp127 |
feat: partial sections for `Filter.Product` |
Change the definition of `Filter.Product` to only use partial functions defined in some neighborhood of `l`. This is mathematically the correct definition, and differs from the previous definition in that with the previous definition `IsEmpty (l.Product ε) ↔ ∃ x : α, IsEmpty (ε x)` but with the new definition `IsEmpty (l.Product ε) ↔ ∃ᶠ x in l, IsEmpty (ε x)`. See [Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Non-standard.20analysis/near/572530042). See also #36763.
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tech debt |
1094/479 |
Mathlib/Analysis/Real/Hyperreal.lean,Mathlib/MeasureTheory/Function/AEEqFun.lean,Mathlib/MeasureTheory/Function/SimpleFuncDenseLp.lean,Mathlib/MeasureTheory/Integral/SetToL1.lean,Mathlib/ModelTheory/Ultraproducts.lean,Mathlib/Order/Filter/FilterProduct.lean,Mathlib/Order/Filter/Germ/Basic.lean,Mathlib/Order/Filter/Germ/OrderedMonoid.lean,Mathlib/Order/Filter/Ring.lean,Mathlib/Topology/Germ.lean |
10 |
1 |
['github-actions'] |
nobody |
3-60123 3 days ago |
3-61021 3 days ago |
3-62501 3 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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t-algebra label:t-algebra$ |
71/45 |
Mathlib/Algebra/CharP/Two.lean |
1 |
3 |
['github-actions', 'mortarsanjaya', 'vihdzp'] |
nobody |
3-58737 3 days ago |
3-83781 3 days ago |
6-59121 6 days |
| 42341 |
gaetanserre author:gaetanserre |
feat(Kernel/Deterministic): any deterministic kernel is s-finite |
Any deterministic kernel is s-finite.
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t-measure-probability
maintainer-merge
|
11/0 |
Mathlib/Probability/Kernel/Deterministic.lean |
1 |
7 |
['CoolRmal', 'github-actions'] |
CoolRmal assignee:CoolRmal |
3-58449 3 days ago |
3-58449 3 days ago |
6-18224 6 days |
| 42196 |
ADedecker author:ADedecker |
feat: `IsLocallyClosedAt` predicate |
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|
t-topology |
212/49 |
Mathlib/Topology/Defs/Filter.lean,Mathlib/Topology/LocallyClosed.lean |
2 |
1 |
['github-actions'] |
nobody |
3-57758 3 days ago |
3-58201 3 days ago |
3-57984 3 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 |
341/113 |
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 |
9 |
['D-Thomine', 'github-actions', 'mathlib-merge-conflicts', 'mcdoll'] |
mcdoll assignee:mcdoll |
3-57735 3 days ago |
3-59718 3 days ago |
24-68149 24 days |
| 42457 |
thorimur author:thorimur |
chore: remove `import all`s by making some `norm_num` components public |
Removes some `import all`s by making `evalMinFac.core`, `evalIntMod.go`, and `eval`(`LE`/`LT`)`.core` public.
Note that this inlines the `Nat.instAddMonoidWithOne` instance in `evalMinFac.core` instead of making it an argument. Otherwise, the code is not touched.
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t-meta
large-import
|
96/94 |
Mathlib/Tactic/NormNum/DivMod.lean,Mathlib/Tactic/NormNum/Ineq.lean,Mathlib/Tactic/NormNum/Prime.lean,Mathlib/Tactic/ReduceModChar.lean,Mathlib/Tactic/Ring/Compare.lean,Mathlib/Tactic/Simproc/Factors.lean |
6 |
4 |
['github-actions', 'leanprover-radar', 'thorimur'] |
nobody |
3-57510 3 days ago |
3-64007 3 days ago |
3-63790 3 days |
| 42359 |
vihdzp author:vihdzp |
chore: golf (and rename) `EuclideanDomain.to_principal_ideal_domain` |
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t-ring-theory |
22/30 |
Mathlib/RingTheory/DiscreteValuationRing/Basic.lean,Mathlib/RingTheory/PrincipalIdealDomain.lean,docs/100.yaml,docs/1000.yaml |
4 |
3 |
['github-actions', 'tb65536'] |
nobody |
3-57471 3 days ago |
6-56210 6 days ago |
6-55993 6 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'] |
mattrobball assignee:mattrobball |
3-55883 3 days ago |
50-11337 50 days ago |
136-2835 136 days |
| 35605 |
j-loreaux author:j-loreaux |
feat: transfer instances of `ContinuousFunctionalCalculus` to type synonyms with weaker topologies |
---
- [ ] depends on: #35551
- [ ] depends on: #40517
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t-analysis |
210/1 |
Mathlib.lean,Mathlib/Algebra/Algebra/Spectrum/Quasispectrum.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Transfer.lean,Mathlib/Topology/ContinuousMap/ContinuousMapZero.lean |
4 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
mcdoll assignee:mcdoll |
3-55882 3 days ago |
9-78998 9 days ago |
9-82013 9 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'] |
kim-em assignee:kim-em |
3-55881 3 days ago |
88-83763 88 days ago |
88-83546 88 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'] |
joelriou assignee:joelriou |
3-55880 3 days ago |
48-6332 48 days ago |
49-70593 49 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'] |
alreadydone assignee:alreadydone |
3-55879 3 days ago |
9-64627 9 days ago |
51-55392 51 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'] |
JovanGerb assignee:JovanGerb |
3-55875 3 days ago |
25-41937 25 days ago |
25-41823 25 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'] |
dagurtomas assignee:dagurtomas |
3-55874 3 days ago |
18-44757 18 days ago |
20-372 20 days |
| 41940 |
mcdoll author:mcdoll |
chore(Dynamics): deprecate `IsForwardInvariant` in favour of new `Set.IsInvariantOn` |
We define a predicate `Set.IsInvariantOn` that generalizes `IsInvariant` and as a special case contains `IsForwardInvariant`. The later is hence removed. We also move `IsInvariant` into the `Set` namespace to allow for dot-notation.
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t-dynamics |
52/17 |
Mathlib/Dynamics/Flow.lean,Mathlib/Dynamics/OmegaLimit.lean |
2 |
1 |
['github-actions'] |
urkud assignee:urkud |
3-55874 3 days ago |
19-45327 19 days ago |
19-55004 19 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 |
269/0 |
Mathlib.lean,Mathlib/CategoryTheory/Monoidal/Preadditive.lean,Mathlib/CategoryTheory/Quotient/Monoidal.lean |
3 |
4 |
['github-actions', 'joelriou', 'mckoen'] |
dagurtomas assignee:dagurtomas |
3-55873 3 days ago |
8-21963 8 days ago |
17-15403 17 days |
| 42022 |
felixpernegger author:felixpernegger |
chore(Condensed): reduce imports |
Removes all redundant import in Mathlib/Condensed
Note: I originally also tried to privatize each import (which is why I made this PR in the first place), but surprisingly this never actually works. Additionally, Mathlib/Condensed in never imported in another subfolder, so there is probably no downside to merging this now
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|
t-condensed |
0/19 |
Mathlib/Condensed/Basic.lean,Mathlib/Condensed/Discrete/Basic.lean,Mathlib/Condensed/Discrete/Module.lean,Mathlib/Condensed/Epi.lean,Mathlib/Condensed/Light/Basic.lean,Mathlib/Condensed/Light/EffectiveEpi.lean,Mathlib/Condensed/Light/InternallyProjective.lean,Mathlib/Condensed/Light/Module.lean,Mathlib/Condensed/Light/Monoidal.lean,Mathlib/Condensed/Light/Small.lean,Mathlib/Condensed/Module.lean,Mathlib/Condensed/Solid.lean,Mathlib/Condensed/TopComparison.lean |
13 |
9 |
['felixpernegger', 'github-actions', 'leanprover-radar', 'mathlib-bors'] |
dagurtomas assignee:dagurtomas |
3-55872 3 days ago |
16-24580 16 days ago |
16-24375 16 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 |
3-55575 3 days ago |
21-33142 21 days ago |
21-32925 21 days |
| 42271 |
vihdzp author:vihdzp |
refactor: split `Data.ENat.Basic` |
There's various `assert_not_exists` scattered throughout the library that don't even permit `MonoidWithZero`. This is causing problems on #40901, since the `smallInductiveDimension` of a topological space (a relatively basic notion) is `WithBot ℕ∞`-valued.
We split `Data.ENat.Basic` into three files:
- `Data.ENat.Basic` now imports nothing about monoids.
- `Data.ENat.Monoid` contains the lemmas about the `LinearOrderedAddCommMonoidWithTop` structure.
- `Data.ENat.SuccOrder` contains the lemmas about the `SuccAddOrder` structure.
No new results are added. A few proofs are tweaked slightly so as to decrease imports.
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t-data |
508/438 |
Mathlib.lean,Mathlib/Algebra/Polynomial/Degree/TrailingDegree.lean,Mathlib/Data/ENat/Basic.lean,Mathlib/Data/ENat/Lattice.lean,Mathlib/Data/ENat/Monoid.lean,Mathlib/Data/ENat/Pow.lean,Mathlib/Data/ENat/SuccOrder.lean,Mathlib/Data/Real/ENatENNReal.lean,Mathlib/Data/Seq/Basic.lean,Mathlib/NumberTheory/Padics/PadicVal/Defs.lean,Mathlib/Order/KrullDimension.lean,Mathlib/RingTheory/Multiplicity.lean,Mathlib/RingTheory/MvPowerSeries/Order.lean,Mathlib/RingTheory/UniqueFactorizationDomain/Basic.lean,Mathlib/RingTheory/UniqueFactorizationDomain/Multiplicity.lean,Mathlib/RingTheory/UniqueFactorizationDomain/Nat.lean,Mathlib/SetTheory/Cardinal/ENat.lean,Mathlib/Tactic/ENatToNat.lean,Mathlib/Topology/CWComplex/Classical/Basic.lean,Mathlib/Topology/Instances/ENat.lean,Mathlib/Topology/SmallInductiveDimension.lean,MathlibTest/Tactic/Grind/NatCastInstance.lean |
22 |
1 |
['github-actions'] |
nobody |
3-55047 3 days ago |
7-59419 7 days ago |
7-59211 7 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 |
3-54979 3 days ago |
24-63307 24 days ago |
99-28968 99 days |
| 41775 |
JovanGerb author:JovanGerb |
chore(Order/SymmDiff): use `to_dual` |
This PR generates `bihimp` from `symmDiff` using `to_dual`.
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|
|
50/169 |
Mathlib/Order/SymmDiff.lean,Mathlib/Tactic/Translate/ToDual.lean |
2 |
7 |
['JovanGerb', 'github-actions', 'vihdzp'] |
nobody |
3-54619 3 days ago |
3-57673 3 days ago |
23-38136 23 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 |
3-53298 3 days ago |
20-46357 20 days ago |
20-46140 20 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 |
3-50443 3 days ago |
3-53252 3 days ago |
3-58431 3 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 |
177/4 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/Pentagonal/Basic.lean,Mathlib/Combinatorics/Enumerative/Pentagonal/EulerFunction.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean,docs/1000.yaml |
5 |
3 |
['copilot-pull-request-reviewer', 'github-actions', 'mathlib-dependent-issues'] |
nobody |
3-49829 3 days ago |
4-66263 4 days ago |
4-68193 4 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 |
24 |
['ChiCubed', 'github-actions', 'themathqueen', 'wwylele'] |
themathqueen assignee:themathqueen |
3-48757 3 days ago |
3-50937 3 days ago |
53-65255 53 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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|
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 |
3-48212 3 days ago |
3-50764 3 days ago |
55-17924 55 days |
| 42423 |
mcdoll author:mcdoll |
feat(LinearAlgebra): kernel of a `LinearPMap` |
We define the kernel of a `LinearPMap` as a submodule of `E` and prove basic properties of it. If one takes `f.toFun.ker` then it is a submodule of `f.domain`, which leads to many problems.
Secondly, the code around `LinearPMap.inverse` gets cleaned up: use `LinearPMap.ker`, use dot-notation consistently, and some golfs.
---
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|
t-algebra label:t-algebra$ |
85/32 |
Mathlib/LinearAlgebra/LinearPMap.lean,Mathlib/Topology/Algebra/Module/LinearPMap.lean |
2 |
4 |
['github-actions', 'mcdoll', 'wwylele'] |
nobody |
3-47054 3 days ago |
4-44810 4 days ago |
4-45741 4 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 |
3-42027 3 days ago |
3-42593 3 days ago |
3-42524 3 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 |
3-37618 3 days ago |
3-38235 3 days ago |
3-38018 3 days |
| 42469 |
mo271 author:mo271 |
feat(RingTheory/LaurentSeries): `derivative_map` and friends |
noticed in #42428 that `Polynomial` has these, while `LaurentSeries` not yet.
---
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|
t-ring-theory |
21/0 |
Mathlib/RingTheory/LaurentSeries.lean |
1 |
2 |
['github-actions', 'mathlib-bors'] |
nobody |
3-33482 3 days ago |
3-34024 3 days ago |
3-34327 3 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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|
t-group-theory
large-import
|
41/40 |
Mathlib/GroupTheory/Exponent.lean,Mathlib/GroupTheory/PGroup.lean |
2 |
3 |
['SnirBroshi', 'github-actions', 'tb65536'] |
nobody |
3-29400 3 days ago |
3-29403 3 days ago |
3-30369 3 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 |
3-26902 3 days ago |
3-27465 3 days ago |
3-27248 3 days |
| 40812 |
karlesmarin author:karlesmarin |
feat(RingTheory/HopfAlgebra): antipode is the unique convolution inverse of the identity |
Adds `HopfAlgebra.eq_antipode_of_convMul_id_eq_one` and `HopfAlgebra.eq_antipode_of_id_convMul_eq_one`: an `R`-linear map that is a one-sided convolution inverse of the identity equals the antipode. Either side suffices.
The proof is `left_inv_eq_right_inv` in the convolution monoid `WithConv (A →ₗ[R] A)` together with the two antipode axioms, transported by `toConv_injective`. It closes the "uniqueness of Hopf algebra structure on a bialgebra" TODO in this file, and is the uniqueness companion to the existing `ofConvInverse` (existence).
---
**AI disclosure.** This contribution was written with AI assistance (Claude, used as a coding assistant). I have reviewed and understand the proof and can justify the design. The result is classical; the contribution is its Lean formalization.
|
t-ring-theory
new-contributor
LLM-generated
maintainer-merge
|
17/3 |
Mathlib/RingTheory/HopfAlgebra/Basic.lean,Mathlib/RingTheory/HopfAlgebra/Convolution.lean |
2 |
24 |
['YaelDillies', 'github-actions', 'hawkrobe', 'karlesmarin', 'themathqueen'] |
nobody |
3-20921 3 days ago |
3-20945 3 days ago |
39-24679 39 days |
| 42477 |
Multramate author:Multramate |
feat(NumberTheory/EllipticDivisibilitySequence): add some lemmas and grind some proofs |
Also rename `odd` to `neg` because `odd` will be reserved for odd elliptic relations.
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|
t-number-theory
t-algebra
maintainer-merge
label:t-algebra$ |
95/53 |
Mathlib/Data/Nat/DvdSequence.lean,Mathlib/NumberTheory/EllipticDivisibilitySequence.lean |
2 |
5 |
['Multramate', 'github-actions', 'tb65536'] |
nobody |
3-8173 3 days ago |
3-12323 3 days ago |
3-12106 3 days |
| 41244 |
joelriou author:joelriou |
chore(CategoryTheory/Adjunction/AdjointFunctorTheorems): generalize universes |
For theorems involving a category `C : Type u` (with `Category.{v} C`), the smallness assumptions or the existence of limits/colimits are expressed relative to an arbitrary universe `w` (instead of `w = v`), provided the assumption `LocallySmall.{w} C` is added. (This makes this more coherent with the API about locally presentable/accessible categories.)
---
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|
t-category-theory
maintainer-merge
|
71/36 |
Mathlib/CategoryTheory/Adjunction/AdjointFunctorTheorems.lean,Mathlib/CategoryTheory/Comma/StructuredArrow/Small.lean,Mathlib/CategoryTheory/Limits/Constructions/WeaklyInitial.lean,Mathlib/CategoryTheory/Limits/Shapes/WideEqualizers.lean |
4 |
7 |
['github-actions', 'robin-carlier', 'smorel394'] |
robin-carlier assignee:robin-carlier |
2-85519 2 days ago |
34-72092 34 days ago |
37-63723 37 days |
| 42398 |
gasparattila author:gasparattila |
feat: add a wrapper around `fun_prop` that calls `simp` on the function |
This new tactic is used for the `autoParam` tactics of `Homeomorph`, etc. These `autoParam`s currently use `dsimp`, which often requires the use of `backward.defeqAttrib.useBackward`, since `simps` tags lemmas with `@[backward_defeq]`. It also prevents the use of general lemmas such as `IsAddApply.add_apply`, which cannot hold definitionally.
This PR also removes the `backward.defeqAttrib.useBackward` options which become unnecessary as a result of this change.
---
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|
t-topology
t-meta
tech debt
|
52/26 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/FunPropSimp.lean,Mathlib/Topology/Algebra/Group/Basic.lean,Mathlib/Topology/Algebra/Module/ContinuousLinearMap/Basic.lean,Mathlib/Topology/Algebra/Module/ContinuousLinearMap/PiProd.lean,Mathlib/Topology/Algebra/Module/Equiv.lean,Mathlib/Topology/Algebra/Module/Multilinear/Basic.lean,Mathlib/Topology/Algebra/Module/Star.lean,Mathlib/Topology/Constructions/SumProd.lean,Mathlib/Topology/Homeomorph/Defs.lean,Mathlib/Topology/Homeomorph/Lemmas.lean |
12 |
27 |
['JovanGerb', 'gasparattila', 'github-actions', 'grunweg', 'leanprover-radar'] |
thorimur assignee:thorimur |
2-78926 2 days ago |
2-80854 2 days ago |
5-5445 5 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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|
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 |
2-78847 2 days ago |
2-79465 2 days ago |
45-12543 45 days |
| 38848 |
jcreinhold author:jcreinhold |
feat(AlgebraicTopology/SimplicialSet): exists_isPushout_of_ne_top |
Every proper subcomplex of a simplicial set extends by attaching a single cell along its boundary, exhibited as a pushout of `∂Δ[n] ↪ Δ[n]`. This is the per-cell input for cell-by-cell filtrations of monomorphisms in `SSet`.
Adapted from @joelriou 's [proof](https://github.com/joelriou/topcat-model-category/blob/813338a8c88cfe0096deed7e3ba7daf92d4a1c71/TopCatModelCategory/SSet/Boundary.lean#L187). I also added the supporting lemma `Types.isPullback_of_eq_setPreimage` (set-preimage square is a pullback in `Type u`).
AI use: Claude helped locate `subtype_val_mono` and the `backward.isDefEq.respectTransparency` option.
|
t-algebraic-topology
new-contributor
|
117/3 |
Mathlib/AlgebraicTopology/SimplicialSet/Boundary.lean,Mathlib/CategoryTheory/Limits/Types/Pullbacks.lean |
2 |
37 |
['dagurtomas', 'github-actions', 'jcreinhold', 'joelriou', 'mckoen'] |
nobody |
2-74629 2 days ago |
51-2539 51 days ago |
96-52639 96 days |
| 41514 |
teorth author:teorth |
feat(Topology/MetricSpace/Heine-Cantor): metric ε-δ forms of Heine–Cantor |
Add (pseudo-)metric space (or "epsilon-delta") versions of many of the versions of the Heine-Cantor theorem (continuous functions on compacta are uniformly continuous) from `Topology.UniformSpace.HeineCantor` into a new file
`Topology.Metric.HeineCantor`. As per reviewer feedback, EMetric variants are also provided at `Topology.EMetric.HeineCantor`.
---
New files needed to be created because many files downstream of `Topology.UniformSpace.HeineCantor` blocked the use of `UniformOnFun`.
AI assistance was used to expand a small initial set of human-generated lemmas into a larger set, with the latter then reviewed by both an AI tool and myself.
[](https://gitpod.io/from-referrer/)
|
t-topology
maintainer-merge
|
161/0 |
Mathlib.lean,Mathlib/Topology/EMetricSpace/Defs.lean,Mathlib/Topology/EMetricSpace/HeineCantor.lean,Mathlib/Topology/MetricSpace/HeineCantor.lean |
4 |
14 |
['felixpernegger', 'github-actions', 'j-loreaux', 'teorth'] |
j-loreaux assignee:j-loreaux |
2-69299 2 days ago |
12-9147 12 days ago |
30-35604 30 days |
| 42193 |
sgouezel author:sgouezel |
chore: fix defeq abuse in the definition of MFDeriv |
---
- [x] depends on: ##42374
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|
t-differential-geometry
tech debt
|
136/58 |
Mathlib/Geometry/Manifold/ContMDiffMFDeriv.lean,Mathlib/Geometry/Manifold/IntegralCurve/UniformTime.lean,Mathlib/Geometry/Manifold/IsManifold/Basic.lean,Mathlib/Geometry/Manifold/LocalDiffeomorph.lean,Mathlib/Geometry/Manifold/MFDeriv/Atlas.lean,Mathlib/Geometry/Manifold/MFDeriv/Basic.lean,Mathlib/Geometry/Manifold/MFDeriv/Defs.lean,Mathlib/Geometry/Manifold/MFDeriv/FDeriv.lean,Mathlib/Geometry/Manifold/MFDeriv/Tangent.lean |
9 |
25 |
['github-actions', 'grunweg', 'kbuzzard', 'mathlib-bors', 'sgouezel'] |
nobody |
2-67365 2 days ago |
6-73377 6 days ago |
6-73270 6 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 |
2-66558 2 days ago |
2-67156 2 days ago |
47-70733 47 days |
| 28246 |
Sebi-Kumar author:Sebi-Kumar |
feat(AlgebraicTopology/FundamentalGroupoid): the n-sphere is simply connected for n > 1 |
Prove that the `n`-dimensional sphere (i.e., the unit sphere centered at the origin in `(n + 1)`-dimensional real Euclidean space) is a simply connected space for `n > 1`. This proof follows Hatcher's "Algebraic Topology"; we first prove a general lemma about decomposing loops and then exploit the fact that non-surjective loops in the sphere are homotopically trivial.
Note: To get this file to build, I edited `Mathlib/Tactic/Linter/DirectoryDependency.lean` to remove the restrictions on AlgebraicTopology files importing Geometry, NumberTheory, and FieldTheory files. Thank you to those who shared their expertise [here](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Warning.20that.20AlgebraicTopology.20can't.20import.20SetTheory/with/533833638). As I understand it, this is just a short-term solution, so I would appreciate feedback on what to do about this situation.
Note: I am unsure where exactly the file `SimplyConnectedSphere.lean` should go or whether that is an appropriate name for the file, so feedback there would be appreciated.
---
To provide additional context, this code was written as a part of the Fields Undergraduate Summer Research Program at the University of Western Ontario under the supervision of Chris Kapulkin and Daniel Carranza.
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|
t-algebraic-topology
new-contributor
|
371/3 |
Mathlib.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/SimplyConnectedSphere.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/VanKampen.lean,Mathlib/Logic/Equiv/PartialEquiv.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean,Mathlib/Topology/Path.lean |
6 |
19 |
['Sebi-Kumar', 'dagurtomas', 'github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'robin-carlier'] |
dagurtomas assignee:dagurtomas |
2-55864 2 days ago |
24-78708 24 days ago |
38-70357 38 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 |
2-55863 2 days ago |
26-29307 26 days ago |
111-2801 111 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 |
2-55862 2 days ago |
80-75960 80 days ago |
80-75743 80 days |
| 41146 |
joelriou author:joelriou |
feat(CategoryTheory/Limits): weighted limits commute with (co)limits in the weight variable |
This is an adaptation of code from https://github.com/joelriou/reedy in order to allow uses both for Reedy categories and applications to hypercovers #41125. In particular, the proof of the preservations of limits with respect to the weight variable (which was obtained in https://github.com/joelriou/reedy in the most favourable case) is proven here in a similar manner as in #41125.
Co-authored-by: Yun Liu
- [x] depends on: #41163
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|
t-category-theory |
267/0 |
Mathlib.lean,Mathlib/CategoryTheory/Limits/Weighted/HasWeightedLimit.lean,Mathlib/CategoryTheory/Limits/Weighted/PreservesLimit.lean,Mathlib/CategoryTheory/ObjectProperty/Equivalence.lean |
4 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
robin-carlier assignee:robin-carlier |
2-55861 2 days ago |
36-68109 36 days ago |
36-70609 36 days |
| 41203 |
grunweg author:grunweg |
feat: post-composing an immersion with a diffeomorphism yields an immersion |
Use this to golf the proof that `Sum.inr` is a smooth embedding: requested by `@chrisflav` in #40507.
This lemma is a special case of "the composition of immersions is an immersion"; the latter requires additional hypotheses (such as, on behaviour near the boundary or about the manifold being modeled on a Banach space). This statement does not require any such hypotheses.
---
- [x] depends on: #40720
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|
t-differential-geometry |
51/12 |
Mathlib/Geometry/Manifold/Immersion.lean |
1 |
6 |
['github-actions', 'grunweg', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
sgouezel assignee:sgouezel |
2-55860 2 days ago |
14-28073 14 days ago |
21-17251 21 days |
| 41734 |
IlPreteRosso author:IlPreteRosso |
feat(DiscreteConvolution): add ring convolution definitions and properties |
Continuation of PR #34191
Adds ring convolution and its elementary properties.
Aligns the API with [Day convolution](https://leanprover-community.github.io/mathlib4_docs/Mathlib/CategoryTheory/Monoidal/DayConvolution.html) structure. Although no idea how to bridge them right now. |
t-topology
new-contributor
|
222/5 |
Mathlib/Topology/Algebra/InfiniteSum/DiscreteConvolution.lean |
1 |
3 |
['github-actions', 'grunweg'] |
j-loreaux assignee:j-loreaux |
2-55858 2 days ago |
25-10238 25 days ago |
25-10021 25 days |
| 42261 |
D-Thomine author:D-Thomine |
chore(MeasureTheory): using ENNReal instead of NNReal |
With this PR, I test what can be gained by removing coercions in measure theory (i.e. working directly with `ENNReal` instead of working with `NNReal` and coercing), focusing on `MeasureTheory.Covering.Differentiation`. Overall, it looks a bit shorter and a more legible.
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|
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 |
2-55857 2 days ago |
9-218 9 days ago |
9-1 9 days |
| 42376 |
JJYYY-JJY author:JJYYY-JJY |
feat(MeasureTheory): add RCLike integrability equivalences for real-valued functions |
Continues from https://github.com/leanprover-community/mathlib4/pull/17176, I merged it into current main and implement with previous comments.
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|
t-measure-probability
new-contributor
|
31/0 |
Mathlib/MeasureTheory/Function/L1Space/Integrable.lean,Mathlib/MeasureTheory/Integral/IntegrableOn.lean |
2 |
3 |
['github-actions'] |
EtienneC30 assignee:EtienneC30 |
2-55856 2 days ago |
5-79934 5 days ago |
5-79732 5 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 |
2-55244 2 days ago |
2-55250 2 days ago |
2-55033 2 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'] |
nobody |
2-54981 2 days ago |
37-61560 37 days ago |
37-61343 37 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'] |
nobody |
2-54980 2 days ago |
63-84466 63 days ago |
63-84249 63 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'] |
nobody |
2-54979 2 days ago |
24-24034 24 days ago |
51-64558 51 days |
| 42426 |
mcdoll author:mcdoll |
chore(LinearAlgebra/LinearPMap): use `grind` and other golfs |
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|
t-algebra label:t-algebra$ |
63/106 |
Mathlib/LinearAlgebra/LinearPMap.lean |
1 |
7 |
['chenson2018', 'github-actions', 'leanprover-radar', 'mcdoll', 'yuanyi-350'] |
nobody |
2-51856 2 days ago |
2-53574 2 days ago |
2-76231 2 days |
| 42364 |
vihdzp author:vihdzp |
chore(Order/LatticeIntervals): use `to_dual` |
---
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|
t-order |
77/177 |
Mathlib/Order/Bounds/Basic.lean,Mathlib/Order/Lattice.lean,Mathlib/Order/LatticeIntervals.lean,Mathlib/Order/ModularLattice.lean |
4 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
2-49121 2 days ago |
2-49124 2 days ago |
2-50521 2 days |
| 42288 |
yuanyi-350 author:yuanyi-350 |
feat(PowerSeries): if `P.subst Q = X`, then `Q.subst P = X` |
used in #37848
This adds a small helper for compositional inverses of power series.
If `P.constantCoeff = 0`, `coeff 1 P` is a unit, and `P.subst Q = X`, then `Q.subst P = X`.
---
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|
t-ring-theory
easy
|
15/0 |
Mathlib/RingTheory/PowerSeries/Substitution.lean |
1 |
2 |
['bocowgill', 'github-actions'] |
nobody |
2-48175 2 days ago |
8-84757 8 days ago |
8-84540 8 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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|
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'] |
riccardobrasca assignee:riccardobrasca |
2-46508 2 days ago |
16-76235 16 days ago |
120-31635 120 days |
| 41640 |
adomani author:adomani |
chore: add missing `to_additive` docstrings in GroupTheory.GroupAction |
Adds the missing additive doc-strings (multiplicative side has a hand-written doc-string, additive side did not) across 6 file(s) in **GroupTheory.GroupAction**.
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-group-theory
|
50/28 |
Mathlib/GroupTheory/GroupAction/Blocks.lean,Mathlib/GroupTheory/GroupAction/FixingSubgroup.lean,Mathlib/GroupTheory/GroupAction/Hom.lean,Mathlib/GroupTheory/GroupAction/MultipleTransitivity.lean,Mathlib/GroupTheory/GroupAction/Pointwise.lean,Mathlib/GroupTheory/GroupAction/SubMulAction.lean |
6 |
1 |
['github-actions'] |
nobody |
2-42148 2 days ago |
27-6473 27 days ago |
27-6256 27 days |
| 41644 |
adomani author:adomani |
chore: add missing `to_additive` docstrings in Algebra (BigOperators, Order, ...) |
Adds the missing additive doc-strings (multiplicative side has a hand-written doc-string, additive side did not) across 16 file(s) in **Algebra (BigOperators, Order, ...)**.
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 |
68/40 |
Mathlib/Algebra/BigOperators/Group/Finset/Basic.lean,Mathlib/Algebra/BigOperators/Group/Finset/Defs.lean,Mathlib/Algebra/BigOperators/Group/Finset/Piecewise.lean,Mathlib/Algebra/BigOperators/Group/Finset/Sigma.lean,Mathlib/Algebra/FreeMonoid/Basic.lean,Mathlib/Algebra/Module/PUnit.lean,Mathlib/Algebra/MonoidAlgebra/Module.lean,Mathlib/Algebra/Order/Antidiag/Prod.lean,Mathlib/Algebra/Order/Group/Finset.lean,Mathlib/Algebra/Order/Group/Unbundled/Basic.lean,Mathlib/Algebra/Order/Hom/Monoid.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Basic.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Pow.lean,Mathlib/Algebra/Regular/Basic.lean,Mathlib/Algebra/Torsor/Basic.lean,Mathlib/Order/Filter/AtTopBot/Monoid.lean |
16 |
1 |
['github-actions'] |
nobody |
2-42020 2 days ago |
26-17737 26 days ago |
26-17520 26 days |
| 42483 |
bocowgill author:bocowgill |
feat(Analysis/InnerProductSpace/Projection): characterize joint minimizers via infDist |
This PR adds two results about minimization and orthogonal projection onto a subspace.
- `Submodule.norm_starProjection_orthogonal_eq_infDist` identifies the norm of the projection onto `Uᗮ` with the point-to-set distance `Metric.infDist y U`.
- `Submodule.exists_forall_norm_sub_le_iff_forall_infDist_le` characterizes when a point `a : E` can be paired with some `u : U` such that their 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`.
The second theorem is stated using a comparison set rather than a particular parameterization. Specializing
`A = Set.range (fun z' ↦ y - f z')`
and
`a = y - f z`
recovers the abstract partialling-out principle underlying the Frisch–Waugh–Lovell theorem.
---
### Motivation
These lemmas extend Mathlib's inner-product-space projection API for partial minimization over a subspace.
- The first result connects the norm of an orthogonal residual with Mathlib's canonical point-to-set distance.
- The second shows that the subspace variable can be profiled out: joint optimization against points of `U` reduces to minimizing `Metric.infDist · U` over the remaining comparison set.
This geometric formulation is intended to support later formalizations of least squares, regression, and partialling-out arguments while remaining independent 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 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 two theorems' proofs.
For the current revision, I ran a targeted build of `Mathlib.Analysis.InnerProductSpace.Projection.Basic`, 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 set-based 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
|
59/0 |
Mathlib/Analysis/InnerProductSpace/Projection/Basic.lean |
1 |
7 |
['bocowgill', 'github-actions', 'wwylele'] |
nobody |
2-41328 2 days ago |
2-52463 2 days ago |
2-52246 2 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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|
t-analysis
LLM-generated
|
160/10 |
Mathlib/Analysis/Complex/JensenFormula.lean,Mathlib/Analysis/Complex/Poisson.lean |
2 |
1 |
['github-actions'] |
nobody |
2-38069 2 days ago |
2-38655 2 days ago |
3-14894 3 days |
| 42485 |
vlad902 author:vlad902 |
feat(LocalRing): add `IsLocalRing` instance for `MulOpposite` |
---
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|
t-ring-theory |
6/0 |
Mathlib/RingTheory/LocalRing/Basic.lean |
1 |
3 |
['eric-wieser', 'github-actions', 'vlad902'] |
nobody |
2-32105 2 days ago |
2-40253 2 days ago |
2-40036 2 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 |
182/101 |
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 |
1 |
['github-actions'] |
nobody |
2-31106 2 days ago |
2-31106 2 days ago |
2-30889 2 days |
| 42448 |
Whysoserioushah author:Whysoserioushah |
chore(Algebra/Homology/HomotopyCategory/Shift): clean up most of set_options |
If we want every `set_option` gone from this file, especially gone from this instance: `CategoryTheory.Functor.commShiftMapCochainComplex` then we need to set the reducibility of `Functor.mapHomologicalComplex` into reducible, this together with [ContCohomology](https://github.com/leanprover-community/mathlib4/blob/master/Mathlib/RepresentationTheory/Homological/ContCohomology/Basic.lean#L109) may indicate that we want it as an `abbrev`.
---
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|
tech debt
t-algebra
t-category-theory
label:t-algebra$ |
75/206 |
Mathlib/Algebra/Homology/HomotopyCategory/DegreewiseSplit.lean,Mathlib/Algebra/Homology/HomotopyCategory/HomComplexShift.lean,Mathlib/Algebra/Homology/HomotopyCategory/Pretriangulated.lean,Mathlib/Algebra/Homology/HomotopyCategory/Shift.lean,Mathlib/Algebra/Homology/HomotopyCategory/Triangulated.lean |
5 |
9 |
['Whysoserioushah', 'github-actions', 'joelriou', 'leanprover-radar'] |
riccardobrasca assignee:riccardobrasca |
2-30293 2 days ago |
3-15989 3 days ago |
3-20505 3 days |
| 41177 |
mcdoll author:mcdoll |
feat(MeasureTheory): use `IsApply` for `Measure` |
---
Sorry, I messed up a merge and the old PR went weird.
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|
|
177/203 |
Mathlib/Analysis/InnerProductSpace/NormDet.lean,Mathlib/Dynamics/Ergodic/Extreme.lean,Mathlib/Geometry/Euclidean/Volume/Measure.lean,Mathlib/MeasureTheory/Constructions/Pi.lean,Mathlib/MeasureTheory/Covering/Differentiation.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Basic.lean,Mathlib/MeasureTheory/Function/SimpleFunc.lean,Mathlib/MeasureTheory/Group/FundamentalDomain.lean,Mathlib/MeasureTheory/Group/Prod.lean,Mathlib/MeasureTheory/Integral/Average.lean,Mathlib/MeasureTheory/Integral/Bochner/Basic.lean,Mathlib/MeasureTheory/Integral/Bochner/L1.lean,Mathlib/MeasureTheory/Integral/FinMeasAdditive.lean,Mathlib/MeasureTheory/Integral/SetToL1.lean,Mathlib/MeasureTheory/Measure/AEMeasurable.lean,Mathlib/MeasureTheory/Measure/AbsolutelyContinuous.lean,Mathlib/MeasureTheory/Measure/Decomposition/Exhaustion.lean,Mathlib/MeasureTheory/Measure/Decomposition/IntegralRNDeriv.lean,Mathlib/MeasureTheory/Measure/Decomposition/Lebesgue.lean,Mathlib/MeasureTheory/Measure/Dirac.lean,Mathlib/MeasureTheory/Measure/FiniteMeasure.lean,Mathlib/MeasureTheory/Measure/GiryMonad.lean,Mathlib/MeasureTheory/Measure/Haar/Basic.lean,Mathlib/MeasureTheory/Measure/Haar/DistribChar.lean,Mathlib/MeasureTheory/Measure/Haar/MulEquivHaarChar.lean,Mathlib/MeasureTheory/Measure/Hausdorff.lean,Mathlib/MeasureTheory/Measure/Lebesgue/Basic.lean,Mathlib/MeasureTheory/Measure/Lebesgue/EqHaar.lean,Mathlib/MeasureTheory/Measure/Map.lean,Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/MeasureTheory/Measure/MutuallySingular.lean,Mathlib/MeasureTheory/Measure/ProbabilityMeasure.lean,Mathlib/MeasureTheory/Measure/Prod.lean,Mathlib/MeasureTheory/Measure/Prokhorov.lean,Mathlib/MeasureTheory/Measure/Regular.lean,Mathlib/MeasureTheory/Measure/Restrict.lean,Mathlib/MeasureTheory/Measure/Stieltjes.lean,Mathlib/MeasureTheory/Measure/Sub.lean,Mathlib/MeasureTheory/Measure/SubFinite.lean,Mathlib/MeasureTheory/Measure/Tilted.lean,Mathlib/MeasureTheory/Measure/Typeclasses/Finite.lean,Mathlib/MeasureTheory/Measure/Typeclasses/SFinite.lean,Mathlib/MeasureTheory/Measure/WithDensity.lean,Mathlib/MeasureTheory/Measure/WithDensityFinite.lean,Mathlib/MeasureTheory/VectorMeasure/Decomposition/Jordan.lean,Mathlib/MeasureTheory/VectorMeasure/Integral.lean,Mathlib/MeasureTheory/VectorMeasure/Prod.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Basic.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/SignedMeasure.lean,Mathlib/Probability/ConditionalProbability.lean,Mathlib/Probability/Distributions/Bernoulli.lean,Mathlib/Probability/Distributions/Binomial.lean,Mathlib/Probability/Distributions/Uniform.lean,Mathlib/Probability/Kernel/Composition/Comp.lean,Mathlib/Probability/Kernel/Composition/CompProd.lean,Mathlib/Probability/Kernel/Defs.lean,Mathlib/Probability/Kernel/RadonNikodym.lean,Mathlib/Probability/UniformOn.lean |
58 |
22 |
['github-actions', 'grunweg', 'j-loreaux', 'mathlib-merge-conflicts', 'mcdoll'] |
grunweg assignee:grunweg |
2-26240 2 days ago |
2-26240 2 days ago |
32-19434 32 days |
| 42034 |
grunweg author:grunweg |
chore(Geometry/Manifold): remove "easy" cases of defeq abuse |
Remove many uses of the `backward.isDefeq.respectTransparency` option in differential geometry.
- a number of options are simply superfluous now (hence can be removed)
- some cases could be fixed by adding `chartAt_self_eq` to a simp call --- should this be made simp?
- using `NormedSpace.fromTangentSpace` and `mvfderiv` allowed fixing a few options in `VectorBundle/Riemannian`
- a few proofs simply needed to be slightly more careful, and then also worked without the defeq abuse
---
- [x] depends on: #42031
- [x] depends on: #42038
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t-differential-geometry
tech debt
|
21/34 |
Mathlib/Geometry/Manifold/ContMDiff/Atlas.lean,Mathlib/Geometry/Manifold/ContMDiff/Basic.lean,Mathlib/Geometry/Manifold/IsManifold/Basic.lean,Mathlib/Geometry/Manifold/IsManifold/ExtChartAt.lean,Mathlib/Geometry/Manifold/MFDeriv/NormedSpace.lean,Mathlib/Geometry/Manifold/MFDeriv/SpecificFunctions.lean,Mathlib/Geometry/Manifold/Riemannian/Basic.lean |
7 |
3 |
['github-actions', 'grunweg', 'mathlib-dependent-issues'] |
nobody |
2-25701 2 days ago |
10-69283 10 days ago |
11-72612 11 days |
| 37232 |
mathlib-splicebot author:mathlib-splicebot |
chore(Algebra/Order): bound on `|n / m|ₘ` and `|n - m|` |
This PR was automatically created from PR #34722 by @GrigorenkoPV via a [review comment](https://github.com/leanprover-community/mathlib4/pull/34722#discussion_r2996870566) by @Vierkantor. |
t-algebra
maintainer-merge
label:t-algebra$ |
5/0 |
Mathlib/Algebra/Order/Group/Unbundled/Abs.lean |
1 |
14 |
['Vierkantor', 'bryangingechen', 'github-actions', 'grunweg', 'mathlib-bors', 'themathqueen'] |
nobody |
2-25542 2 days ago |
8-6404 8 days ago |
45-39779 45 days |
| 41121 |
Scarlett-le author:Scarlett-le |
feat(Geometry/Euclidean/Angle): add the Alternate segment theorem |
Adds the Alternate segment theorem to`Mathlib/Geometry/Euclidean/Angle/Sphere.lean`:
if a line is tangent to a sphere `s` at `p₁`
and `p₁`, `p₂`, `p₃` lie on `s`, then twice the oriented angle from the tangent to the chord
`p₁p₂` equals twice the inscribed angle subtending `p₁p₂` at `p₃`. As elsewhere in this file,
the angles are doubled because the underlying oriented angles agree only mod `π`.
----
- [x] depends on: #41143 |
t-euclidean-geometry
maintainer-merge
|
27/0 |
Mathlib/Geometry/Euclidean/Angle/Sphere.lean |
1 |
7 |
['felixpernegger', 'github-actions', 'jsm28', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
2-25530 2 days ago |
37-47644 37 days ago |
40-6281 40 days |
| 42490 |
kebekus author:kebekus |
chore: add `to_fun` tag to theorems on logarithmic derivations |
Following a discussion with @j-loreaux, add `to_fun` tag to theorems on logarithmic derivations.
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|
t-analysis |
17/15 |
Mathlib/Analysis/Calculus/LogDeriv.lean,Mathlib/Analysis/Calculus/LogDerivUniformlyOn.lean,Mathlib/Analysis/Meromorphic/LogDeriv.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Cotangent.lean,Mathlib/NumberTheory/ModularForms/DedekindEta.lean,Mathlib/NumberTheory/ModularForms/Discriminant.lean |
6 |
1 |
['github-actions'] |
nobody |
2-24580 2 days ago |
2-24593 2 days ago |
2-24376 2 days |
| 42489 |
mo271 author:mo271 |
feat(Data/Finset/Powerset): `powersetCard_inter` and `disjoint_powers… |
…etCard_powersetCard`
Add `Finset.powersetCard_inter` and `Finset.disjoint_powersetCard_powersetCard`, and tag `Finset.powersetCard_mono` with `@[gcongr]`.
Ported from Formal Conjecture's ForMathlib, original PR is https://github.com/google-deepmind/formal-conjectures/pull/1428.
Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
---
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|
t-data |
9/1 |
Mathlib/Data/Finset/Powerset.lean |
1 |
1 |
['github-actions'] |
nobody |
2-22875 2 days ago |
2-25498 2 days ago |
2-25281 2 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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|
t-analysis
easy
|
34/2 |
Mathlib/Analysis/Distribution/ContDiffMapSupportedIn.lean,Mathlib/Analysis/Distribution/TestFunction.lean |
2 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
2-22450 2 days ago |
2-26167 2 days ago |
2-43809 2 days |
| 42447 |
lua-vr author:lua-vr |
chore(Dynamics/BirkhofSum): improve naming of birkhoffSum and birkhoffAverage lemmas |
Before, those two files used apostrophes `'` for discerning the point-free or applied lemmas in a non-consistent way. I changed the naming to use `_apply` for the applied versions. (See some discussion about that on https://github.com/leanprover-community/mathlib4/pull/35402.)
For `birkhoffSum`, the `birkhoffSum_add` and `birkhoffSum_add'` lemma names were inconsistent with `birkhoffSum_sub` and the analogous lemmas in the `BirkhoffAverage` file. `_add` is now function addition `g + g'`, and `_add'` is now index addition `m + n`.
Another cases of inconsistency was that the `n` was sometimes present in in the non-applied version, sometimes not. I changed it to generalize the `n` (not mention it) in the non-applied when sensible.
I also added some missing non-applied versions.
I did not add deprecation aliases as there are currently no other files using those lemmas, and since many names are swapped I'm not sure if adding deprecations is even possible.
AI was used for the refactors, iteratively reviewed by me.
---
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|
t-dynamics |
128/46 |
Mathlib/Dynamics/BirkhoffSum/Average.lean,Mathlib/Dynamics/BirkhoffSum/Basic.lean |
2 |
4 |
['github-actions', 'lua-vr', 'mcdoll'] |
ADedecker and mcdoll assignee:mcdoll assignee:ADedecker |
2-22257 2 days ago |
2-22752 2 days ago |
3-46442 3 days |
| 42497 |
mathlib-splicebot author:mathlib-splicebot |
feat: add `contDiffWithinAt_clm_apply` |
All the necessary work as already contained in `contDiffOn_clm_apply`; it is useful to also have the point-wise version available. This will be used to prove a smoothness criterion of tensor fields on manifold.
From the path towards the smoothness of the Levi-Civita connection. |
t-analysis |
12/6 |
Mathlib/Analysis/Calculus/ContDiff/FiniteDimension.lean |
1 |
1 |
['github-actions'] |
nobody |
2-16445 2 days ago |
2-17066 2 days ago |
2-16849 2 days |
| 42496 |
mathlib-splicebot author:mathlib-splicebot |
chore(Geometry/Manifold/VectorBundle/Basic): consolidate open statements |
Extracted from #36036, as a by-product of work towards Riemannian geometry in mathlib. |
t-differential-geometry
easy
|
2/6 |
Mathlib/Geometry/Manifold/VectorBundle/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
2-16395 2 days ago |
2-17076 2 days ago |
2-16859 2 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 |
8 |
['felixpernegger', 'github-actions', 'mathlib-bors', 'mo271', 'wwylele'] |
nobody |
2-15886 2 days ago |
3-28621 3 days ago |
3-28506 3 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).
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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 |
2-14936 2 days ago |
2-16370 2 days ago |
15-45573 15 days |
| 41154 |
sgouezel author:sgouezel |
feat: the variation of a Stieltjes vector measure |
---
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t-measure-probability
maintainer-merge
|
330/5 |
Mathlib/MeasureTheory/VectorMeasure/BoundedVariation.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Basic.lean |
2 |
20 |
['EtienneC30', 'github-actions', 'mathlib-merge-conflicts', 'sgouezel'] |
EtienneC30 assignee:EtienneC30 |
2-12831 2 days ago |
3-20529 3 days ago |
38-2522 38 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 |
2-11381 2 days ago |
2-11381 2 days ago |
2-11164 2 days |
| 42480 |
SnirBroshi author:SnirBroshi |
feat(Order/SuccPred/Limit): generalize `IsSuccPrelimit.isLUB_Iio` from `LinearOrder` to `SemilatticeInf` |
Generalize `IsSucc[Pre]limit.isLUB_Iio` from `LinearOrder` to `SemilatticeInf`,
and `IsSuccLimit.sSup_Iio` from `ConditionallyCompleteLinearOrderBot` to `ConditionallyCompleteLattice`.
Also show `IsLUB (.Iio b) a → a ⩿ b`.
---
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|
t-order |
34/12 |
Mathlib/Order/Cover.lean,Mathlib/Order/SuccPred/CompleteLinearOrder.lean,Mathlib/Order/SuccPred/Limit.lean |
3 |
1 |
['github-actions'] |
nobody |
2-9790 2 days ago |
2-58293 2 days ago |
2-58790 2 days |
| 40775 |
felixpernegger author:felixpernegger |
feat(Data/Finset): `insert a (s.erase a) = insert a s` |
---
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|
t-data |
5/3 |
Mathlib/Data/Finset/Basic.lean,Mathlib/Data/Finset/Fold.lean,Mathlib/RingTheory/Lasker.lean |
3 |
5 |
['eric-wieser', 'felixpernegger', 'github-actions', 'themathqueen'] |
nobody |
2-9261 2 days ago |
2-12074 2 days ago |
50-76642 50 days |
| 42493 |
attilavjda author:attilavjda |
chore(GroupTheory/Complement): deduplicate IsComplement.card_mul |
IsComplement.card_mul restated IsComplement.card_mul_card. Keep the latter (conventional name, has to_additive), deprecate the former, rename IsComplement'.card_mul to match, update the call site.
Aristotle helped with finding the duplicates, generating and verifing the code, understanding the proofs, preparing the PR and reasoning.
---
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|
t-group-theory
new-contributor
|
9/7 |
Mathlib/GroupTheory/Complement.lean |
1 |
2 |
['github-actions'] |
nobody |
2-9148 2 days ago |
2-20947 2 days ago |
2-20730 2 days |
| 42498 |
plp127 author:plp127 |
chore: make `norm_num` normalize negative rationals as `-a / b` |
Make `norm_num` normalize negative rationals as `-a / b` instead of `-(a / b)`. This is consistent with how `#eval` and `ring_nf` do them. See [Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/normal.20form.20of.20a.20rational.20number/near/614821577).
---
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|
t-meta |
9/9 |
Mathlib/Analysis/SpecialFunctions/Pow/NNReal.lean,Mathlib/Analysis/SpecialFunctions/Pow/Real.lean,Mathlib/Data/NNRat/Floor.lean,Mathlib/Tactic/NormNum/IsSquare.lean,Mathlib/Tactic/NormNum/Result.lean |
5 |
1 |
['github-actions'] |
nobody |
2-7830 2 days ago |
2-10591 2 days ago |
2-11865 2 days |
| 42410 |
MrBrain295 author:MrBrain295 |
feat(Data/EReal): prove recENNReal_neg_coe_ennreal |
---
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Replaces the `proof_wanted` with a proof and removes the extra import. Generated by @Aristotle-Harmonic and reviewed by myself.
[](https://gitpod.io/from-referrer/)
|
t-data
LLM-generated
new-contributor
|
10/4 |
Mathlib/Data/EReal/Operations.lean |
1 |
8 |
['MrBrain295', 'Whysoserioushah', 'github-actions'] |
nobody |
2-6906 2 days ago |
3-5468 3 days ago |
3-5332 3 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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[](https://gitpod.io/from-referrer/)
|
t-convex-geometry |
65/0 |
Mathlib/Geometry/Convex/Cone/Pointed.lean |
1 |
75 |
['YaelDillies', 'artie2000', 'github-actions', 'martinwintermath', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
2-4608 2 days ago |
74-71883 74 days ago |
91-72272 91 days |
| 40683 |
dennj author:dennj |
feat(Analysis/Matrix): prove Hadamard's determinant inequality |
This PR adds Hadamard's maximal determinant inequality: a real matrix with entries bounded by `1` in absolute value has determinant at most the Hadamard bound.
This is the classical extremal theorem behind Hadamard matrices. The equality case is also proved, so `Matrix.IsHadamard` is characterized as exactly the matrices attaining the maximal determinant. This turns the existing Hadamard matrix API into the solution of its natural optimization problem, rather than only an algebraic definition.
The proof also adds a few small reusable pieces of API connecting matrix rows with Euclidean-space determinants, Gram-Schmidt equality cases, and row-orthogonality recognition of Hadamard matrices. |
t-analysis |
230/0 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/GramSchmidtOrtho.lean,Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Analysis/Matrix/HadamardInequality.lean,Mathlib/LinearAlgebra/Matrix/HadamardMatrix.lean |
5 |
14 |
['dennj', 'github-actions', 'j-loreaux', 'wwylele'] |
j-loreaux assignee:j-loreaux |
2-4534 2 days ago |
2-20119 2 days ago |
52-17183 52 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'] |
ocfnash assignee:ocfnash |
2-4310 2 days ago |
55-22792 55 days ago |
55-31049 55 days |
| 42470 |
yuanyi-350 author:yuanyi-350 |
chore(Topology/EMetricSpace/Basic): generalize compact separability to pseudometrizable spaces |
|
t-topology |
15/10 |
Mathlib/Topology/EMetricSpace/Basic.lean,Mathlib/Topology/Metrizable/Basic.lean |
2 |
2 |
['github-actions', 'plp127'] |
nobody |
2-394 2 days ago |
2-4792 2 days ago |
3-35197 3 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 antichain closures, the injective transversal and weak dualities) should live in existing files (`Mathlib/Order/Antichain.lean`, `Mathlib/Order/UpperLower/…`) rather than in a new file.
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
|
610/3 |
Mathlib.lean,Mathlib/Order/Dilworth.lean,docs/1000.yaml |
3 |
18 |
['AntoineduFresne', 'SnirBroshi', 'github-actions', 'tdwag123'] |
nobody |
1-83311 1 day ago |
51-33858 51 days ago |
51-34803 51 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 |
1-73969 1 day ago |
2-21122 2 days ago |
33-58184 33 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 |
1-73473 1 day ago |
2-6634 2 days ago |
2-6417 2 days |
| 39875 |
mkaratarakis author:mkaratarakis |
refactor(NumberField/House): expose Siegel lemma infrastructure |
Expose Siegel's lemma infrastructure in `NumberField.House`: rename the private basis-matrix bound to `basisMatrixInvSupNorm`, make `house` reducible, and adjust `exists_ne_zero_int_vec_house_le`. This changes are required for #39874.
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|
58/48 |
Mathlib/NumberTheory/NumberField/House.lean |
1 |
5 |
['github-actions', 'mathlib-merge-conflicts', 'mkaratarakis', 'tb65536'] |
nobody |
1-72391 1 day ago |
3-20402 3 days ago |
46-24981 46 days |
| 41889 |
Ljon4ik4 author:Ljon4ik4 |
chore: corrected namespace of ker_mapOfCompatibleSMul in the docstring of mapOfCompatibleSMul_surjective |
The Lemma `TensorProduct.mapOfCompatibleSMul_surjective` contained a wrong reference to `TensorProduct.AlgebraTensorModule.ker_mapOfCompatibleSMul` (it was missing the `AlgebraTensorModule`). That is corrected in this PR.
(Sorry if that is to minor for a PR !)
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|
t-algebra label:t-algebra$ |
2/2 |
Mathlib/LinearAlgebra/TensorProduct/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
1-72010 1 day ago |
21-9870 21 days ago |
21-9653 21 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
label:t-algebra$ |
8/17 |
Mathlib/Algebra/Tropical/Basic.lean |
1 |
2 |
['github-actions'] |
nobody |
1-69103 1 day ago |
1-74068 1 day ago |
1-77723 1 day |
| 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 15ms
- `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 |
17/45 |
Mathlib/Combinatorics/SimpleGraph/Subgraph.lean,Mathlib/Logic/Relation.lean |
2 |
11 |
['SnirBroshi', 'b-mehta', 'chenson2018', 'github-actions', 'grunweg', 'leanprover-radar', 'themathqueen'] |
nobody |
1-65521 1 day ago |
21-58500 21 days ago |
21-81689 21 days |
| 35735 |
mkaratarakis author:mkaratarakis |
feat(NumberTheory): analytical properties and lower bounds for Gelfond-Schneider auxiliary function |
This PR is the third component in the formalization of the Gelfond-Schneider Theorem (Hilbert's Seventh Problem). It connects the algebraically constructed auxiliary function `R(x)` to its analytical properties, establishing the exact order of vanishing and the fundamental lower bound on the norm of its non-zero derivative evaluation.
Following the argument in Loo-Keng Hua's *Introduction to Number Theory* (Chapter 17.9, equations (4) and (5)), we define the minimal non-vanishing derivative order $r$ and scale the evaluation to an algebraic integer to compute its norm.
1. (`iteratedkDeriv_R_eq_zero` & `order_geq_n`): We verify that the coefficient vector $\eta$ (chosen via Siegel's lemma in the previous PR) forces the first $n$ derivatives of the auxiliary function $R(x)$ to vanish at the points $x \in \{1, 2, \dots, m\}$. Consequently, the analytical order of $R(x)$ at these points is at least $n$.
2. We extract $r$, the exact minimal order of vanishing of $R(x)$ among all points $1 \le l \le m$, and prove that $n \le r$.
3. We define the non-zero algebraic number $\rho = (\log \alpha)^{-r} R^{(r)}(l_0)$.
4. We prove the crucial textbook step that scaling $\rho$ by $c_1^{r+2mq}$ (formalized here as `cρ`) results in an algebraic integer in $\mathcal{O}_K$.
5. Because $c_1^{r+2mq} \rho$ is a non-zero algebraic integer, the absolute value of its norm is at least $1$. We use this to formally prove the strict lower bound on the absolute norm of the unscaled $\rho$: $|N(\rho)| > c_1^{-h(r+2mq)} > c_5^{-r}$.
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|
t-number-theory
new-contributor
|
1105/48 |
Mathlib.lean,Mathlib/NumberTheory/NumberField/House.lean,Mathlib/NumberTheory/Transcendental/GelfondSchneider/MainAlg.lean,Mathlib/NumberTheory/Transcendental/GelfondSchneider/MainOrder.lean,Mathlib/RingTheory/Algebraic/NatDenominator.lean |
5 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
1-64509 1 day ago |
1-64509 1 day ago |
1-64771 1 day |
| 42503 |
plp127 author:plp127 |
chore: generalize theorems `Finset.Ici_top` and `Finset.Iic_bot` |
Generalize the theorems `Finset.Ici_top` and `Finset.Iic_bot` from `LocallyFiniteOrder` to `LocallyFiniteOrderTop` and `LocallyFiniteOrderBot`, respectively. Also generalize the instance of `Unique (Finset.Iic ⊥)` from `LocallyFiniteOrder` to `LocallyFiniteOrderBot`.
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t-order |
10/10 |
Mathlib/Order/Interval/Finset/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
1-64396 1 day ago |
1-82056 1 day ago |
1-81839 1 day |
| 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 |
1-64373 1 day ago |
20-76400 20 days ago |
20-76189 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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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 |
1-64163 1 day ago |
6-54795 6 days ago |
6-54981 6 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 |
28/0 |
Mathlib/Analysis/Calculus/LineDeriv/Basic.lean,docs/1000.yaml |
2 |
1 |
['github-actions'] |
nobody |
1-62178 1 day ago |
1-81320 1 day ago |
1-81103 1 day |
| 39843 |
wwylele author:wwylele |
feat(Analysis/Meromorphic): a non-zero meromorphic function has multiplicative inverse |
This is the core lemma to say that the equivalent classes of meromorphic functions have will-defined inverse
AI usage disclosure: Aristotle was used to draft the initial proof, and it was manually restructured.
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|
t-analysis |
28/0 |
Mathlib/Analysis/Meromorphic/Order.lean |
1 |
5 |
['CoolRmal', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'wwylele'] |
ADedecker assignee:ADedecker |
1-60845 1 day ago |
1-61696 1 day ago |
33-2205 33 days |
| 42375 |
TJHeeringa author:TJHeeringa |
feat(Analysis/Normed): add `LinearMap.extendOfIsometry` |
Adds `LinearMap.extendOfIsometry`, the extention of a linear map `f : E →ₛₗ[𝕜] F` between normed spaces to a linear isometry `Eₗ →ₗᵢ[𝕜] Fₗ` between Banach spaces with a dense map `e₁ : E →ₗ[𝕜] Eₗ`, a linear map `e₂ : F →ₗ[𝕜] Fₗ` and the corresponding norm estimate.
---
`LinearEquiv` and `ContinuousLinearMap` have this extension, but a corresponding one for `LinearIsometry` does not exist.
I called this `extendOfIsometry` because `LinearIsometry.extend` map already [exists](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Analysis/InnerProductSpace/PiL2.html#LinearIsometry.extend) and `LinearEquiv` has a similar map. That map is the special case of `LinearIsometry.extendOfIsometry` when the input space is a submodule of a finite dimensional inner product space. A case could be made for calling `LinearIsometry.extendOfIsometry` `LinearIsometry.extend` and renaming the existing `LinearIsometry.extendOfIsometry` to `LinearIsometry.extendOfFin`.
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t-analysis
maintainer-merge
|
42/5 |
Mathlib/Analysis/Normed/Operator/Extend.lean |
1 |
28 |
['TJHeeringa', 'github-actions', 'mcdoll', 'wwylele'] |
mcdoll assignee:mcdoll |
1-60361 1 day ago |
2-32464 2 days ago |
4-50500 4 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'] |
ADedecker assignee:ADedecker |
1-55882 1 day ago |
3-17443 3 days ago |
108-10468 108 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 |
1-55880 1 day ago |
49-516 49 days ago |
73-79154 73 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 |
1-55880 1 day ago |
36-4761 36 days ago |
73-59501 73 days |
| 41736 |
pechersky author:pechersky |
feat: generalize SMul instances from DistribMulAction to DistribSMul |
---
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Affected types:
- `M →SL[σ₁₂] M₂` (semilinear maps)
- `ContinuousMultilinearMap 𝕜 E G`
- `FreeLieAlgebra R X`
- `𝓓^{n}_{K}(E, F)` (compactly supported smooth functions)
- `𝓓^{n}(Ω, F)` (test functions)
---
Discovered while working on #40785.
Used GPT 5.6 Terra to classify hunks from the originating PR and do the cherry-pick operations. |
t-analysis |
72/15 |
Mathlib/Algebra/Lie/Free.lean,Mathlib/Analysis/Distribution/ContDiffMapSupportedIn.lean,Mathlib/Analysis/Distribution/TestFunction.lean,Mathlib/Analysis/Normed/Module/Multilinear/Basic.lean,Mathlib/Topology/Algebra/Module/ContinuousLinearMap/Basic.lean |
5 |
1 |
['github-actions'] |
j-loreaux assignee:j-loreaux |
1-55879 1 day ago |
25-5612 25 days ago |
25-5395 25 days |
| 42306 |
b-mehta author:b-mehta |
feat(NumberTheory/Padics): add Rat.padicValuation_natCast |
A prereq for #42304.
---
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|
easy
t-number-theory
|
6/2 |
Mathlib/NumberTheory/Padics/PadicNumbers.lean |
1 |
1 |
['github-actions'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
1-55878 1 day ago |
8-8680 8 days ago |
8-8555 8 days |
| 42326 |
AlyciaBHZ author:AlyciaBHZ |
feat(NumberTheory/Wilson): explicit square root of -1 modulo a prime |
Adds an explicit square root of `-1` in `ZMod p`, together with the half-factorial pairing identity it rests on.
- `ZMod.factorial_eq_neg_one_pow_mul_half_factorial_sq`: for odd `p`, `(p - 1)! = (-1)^m * (m !)^2` in `ZMod p` with `m = (p - 1) / 2`. Only needs `Odd p`, not primality.
- `ZMod.half_factorial_sq_eq_neg_one`: for prime `p` with `p % 4 ≠ 3`, `((p - 1) / 2)!` is a square root of `-1`.
### Why
Mathlib has `exists_sq_eq_neg_one_iff` for existence and `mod_four_ne_three_of_sq_eq_neg_one` for the converse, but nothing takes you from the congruence condition to a specific root. I checked all seventeen uses of `IsSquare (-1 : ZMod _)` currently in Mathlib and none of them exhibits a witness.
A live case: `SumOfTwoSquares/Wilson.lean` in `seewoo5/DifferentProofs` states the pairing identity verbatim in a docstring, though only for `p ≡ 1 mod 4` and assuming primality. I have no consumer for it myself — I hit the gap formalizing something adjacent and it seemed worth contributing rather than keeping local.
The pairing identity is worth having on its own: it is the core step of the standard Wilson argument and holds for any odd `p`, so it is not really about primes.
### AI disclosure
The Lean proofs were drafted with an OpenAI Codex agent orchestrated by Claude Code, and I reviewed the result. I re-ran the duplicate search against current master, CSLib, Batteries, Lean core and by type on Loogle, and ran `lake build` / `runLinter` / `lint-style` by hand.
|
t-number-theory
new-contributor
LLM-generated
|
42/1 |
Mathlib/NumberTheory/Wilson.lean |
1 |
12 |
['AlyciaBHZ', 'bocowgill', 'github-actions', 'wwylele'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
1-55876 1 day ago |
7-15341 7 days ago |
7-15124 7 days |
| 42383 |
matt-w-horn author:matt-w-horn |
doc(Probability/Distributions): fix the mass in the Geometric docstring |
The module docstring gives the mass at `{n}` as `(1 - p) ^ n * n`. It's `(1 - p) ^ n * p`, per `geometricMeasure_singleton`.
Same file: "experience" for "experiment", a bullet siting the measure on "a semiring `R`" when it's on `ℕ`, and "positivty".
Claude Fable spotted these; I made the edits.
Assisted-by: Claude Fable 5 |
t-measure-probability
new-contributor
LLM-generated
easy
|
4/4 |
Mathlib/Probability/Distributions/Geometric.lean |
1 |
4 |
['github-actions', 'matt-w-horn'] |
EtienneC30 assignee:EtienneC30 |
1-55875 1 day ago |
5-54285 5 days ago |
5-54068 5 days |
| 41818 |
Vierkantor author:Vierkantor |
feat(Tactic/Linter): add linter for missing `@[tactic_alt]` tags |
This PR adds a `tacticAlt` linter that complains when there are two tactics with the same user-facing name (usually: the first token in their syntax) but they aren't marked as `@[tactic_alt]` to each other. Those situations lead to duplicate entries in doc-gen's tactic overview page.
You can see example output in the tests file, or in the [build log](https://github.com/leanprover-community/mathlib4/actions/runs/29502419244/job/87654684693).
The current simple implementation has one limitation: if multiple duplicates are all being linted at once, each of them gets a linter warning. I think this is okay, but we could be a bit stricter and only produce the warning on the tactic that comes later in the environment.
---
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|
t-linter
maintainer-merge
|
75/0 |
Mathlib/Tactic/ApplyAt.lean,Mathlib/Tactic/ClearExcept.lean,Mathlib/Tactic/Linter/TacticDocumentation.lean,MathlibTest/Linter/TacticDoc.lean |
4 |
6 |
['JovanGerb', 'adomani', 'github-actions', 'leanprover-radar'] |
nobody |
1-54981 1 day ago |
22-81882 22 days ago |
22-81677 22 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'] |
nobody |
1-54979 1 day ago |
45-40466 45 days ago |
99-62304 99 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'] |
nobody |
1-54978 1 day ago |
90-5996 90 days ago |
98-23956 98 days |
| 38324 |
BryceT233 author:BryceT233 |
chore(RingTheory/AdicCompletion): make `AdicCompletion.map` linear on linear maps |
This PR upgrades `AdicCompletion.map` to be an R-linear map on the space of linear maps `M →ₗ[R] N`.
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|
t-ring-theory |
38/12 |
Mathlib/RingTheory/AdicCompletion/Basic.lean,Mathlib/RingTheory/AdicCompletion/Functoriality.lean |
2 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
1-54978 1 day ago |
106-57361 106 days ago |
109-39850 109 days |
| 41960 |
qawbecrdtey author:qawbecrdtey |
chore(Topology/Order): cleanup imports |
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Cleaned imports of `Mathlib.Topology.Order`.
+ Two exceptional files in `Mathlib.Order`.
[](https://gitpod.io/from-referrer/)
|
t-topology |
4/20 |
Mathlib/Order/Filter/AtTopBot/Archimedean.lean,Mathlib/Order/Filter/Cofinite.lean,Mathlib/Topology/Order/Basic.lean,Mathlib/Topology/Order/Bornology.lean,Mathlib/Topology/Order/Compact.lean,Mathlib/Topology/Order/Completion.lean,Mathlib/Topology/Order/HullKernel.lean,Mathlib/Topology/Order/IntermediateValue.lean,Mathlib/Topology/Order/IsLUB.lean,Mathlib/Topology/Order/Lattice.lean,Mathlib/Topology/Order/LawsonTopology.lean,Mathlib/Topology/Order/LeftRightLim.lean,Mathlib/Topology/Order/LiminfLimsup.lean,Mathlib/Topology/Order/LowerUpperTopology.lean,Mathlib/Topology/Order/MonotoneContinuity.lean,Mathlib/Topology/Order/PartialSups.lean,Mathlib/Topology/Order/Priestley.lean,Mathlib/Topology/Order/Rolle.lean,Mathlib/Topology/Order/WithTop.lean |
19 |
4 |
['felixpernegger', 'github-actions', 'leanprover-radar', 'qawbecrdtey'] |
nobody |
1-54619 1 day ago |
18-85547 18 days ago |
18-85350 18 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 |
1-48756 1 day ago |
1-50036 1 day ago |
3-24301 3 days |
| 42075 |
Parcly-Taxel author:Parcly-Taxel |
chore: delete deprecated declarations/modules from January 2026 |
`Mathlib.Util.MemoFix` is directly removed since all deprecations in it are more than 6 months old. |
tech debt
file-removed
maintainer-merge
|
1/2758 |
Mathlib.lean,Mathlib/Algebra/Algebra/Basic.lean,Mathlib/Algebra/Algebra/Epi.lean,Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean,Mathlib/Algebra/BigOperators/Finprod.lean,Mathlib/Algebra/Category/ModuleCat/Semi.lean,Mathlib/Algebra/Category/Ring/Epi.lean,Mathlib/Algebra/Group/Basic.lean,Mathlib/Algebra/Group/Int/Defs.lean,Mathlib/Algebra/GroupWithZero/Action/Defs.lean,Mathlib/Algebra/GroupWithZero/Basic.lean,Mathlib/Algebra/GroupWithZero/Defs.lean,Mathlib/Algebra/GroupWithZero/Int.lean,Mathlib/Algebra/GroupWithZero/NonZeroDivisors.lean,Mathlib/Algebra/GroupWithZero/Regular.lean,Mathlib/Algebra/ModEq.lean,Mathlib/Algebra/Module/Hom.lean,Mathlib/Algebra/Module/LinearMap/End.lean,Mathlib/Algebra/NoZeroSMulDivisors/Prod.lean,Mathlib/Algebra/Order/Archimedean/Real/Basic.lean,Mathlib/Algebra/Polynomial/Degree/Definitions.lean,Mathlib/Algebra/Polynomial/Splits.lean,Mathlib/Algebra/Ring/Regular.lean,Mathlib/AlgebraicGeometry/Artinian.lean,Mathlib/AlgebraicGeometry/Cover/MorphismProperty.lean,Mathlib/AlgebraicGeometry/Morphisms/ClosedImmersion.lean,Mathlib/AlgebraicGeometry/Morphisms/FinitePresentation.lean,Mathlib/AlgebraicGeometry/Morphisms/FiniteType.lean,Mathlib/AlgebraicGeometry/Morphisms/Flat.lean,Mathlib/AlgebraicGeometry/Morphisms/FormallyUnramified.lean,Mathlib/AlgebraicGeometry/Morphisms/OpenImmersion.lean,Mathlib/AlgebraicGeometry/Morphisms/Preimmersion.lean,Mathlib/AlgebraicGeometry/Morphisms/Separated.lean,Mathlib/AlgebraicGeometry/Morphisms/SurjectiveOnStalks.lean,Mathlib/AlgebraicGeometry/Morphisms/UniversallyClosed.lean,Mathlib/AlgebraicGeometry/Morphisms/UniversallyOpen.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/SimplyConnected.lean,Mathlib/AlgebraicTopology/ModelCategory/CofibrantObjectHomotopy.lean,Mathlib/Analysis/Analytic/Composition.lean,Mathlib/Analysis/Asymptotics/AsymptoticEquivalent.lean,Mathlib/Analysis/Calculus/Deriv/Mul.lean,Mathlib/Analysis/Calculus/FDeriv/Add.lean,Mathlib/Analysis/Calculus/Implicit.lean,Mathlib/Analysis/Calculus/ImplicitContDiff.lean,Mathlib/Analysis/Calculus/TangentCone/Basic.lean,Mathlib/Analysis/Complex/IntegerCompl.lean,Mathlib/Analysis/Complex/Schwarz.lean,Mathlib/Analysis/Complex/TaylorSeries.lean,Mathlib/Analysis/Complex/UnitDisc/Basic.lean,Mathlib/Analysis/Complex/UpperHalfPlane/Basic.lean,Mathlib/Analysis/Convex/Body.lean,Mathlib/Analysis/Distribution/FourierSchwartz.lean,Mathlib/Analysis/Distribution/SchwartzSpace.lean,Mathlib/Analysis/Distribution/SchwartzSpace/Fourier.lean,Mathlib/Analysis/Distribution/TemperedDistribution.lean,Mathlib/Analysis/Fourier/Notation.lean,Mathlib/Analysis/InnerProductSpace/Orthogonal.lean,Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Analysis/LocallyConvex/Barrelled.lean,Mathlib/Analysis/Matrix/Spectrum.lean,Mathlib/Analysis/Normed/Group/Basic.lean,Mathlib/Analysis/Normed/Group/Pointwise.lean,Mathlib/Analysis/Normed/Module/Ball/Pointwise.lean,Mathlib/Analysis/Normed/Order/Basic.lean,Mathlib/Analysis/Normed/Unbundled/SeminormFromConst.lean,Mathlib/Analysis/Polynomial/MahlerMeasure.lean,Mathlib/Analysis/Real/Hyperreal.lean,Mathlib/Analysis/SpecialFunctions/Complex/Log.lean,Mathlib/Analysis/SpecialFunctions/NonIntegrable.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Cotangent.lean,Mathlib/CategoryTheory/Adjunction/Opposites.lean,Mathlib/CategoryTheory/Category/Grpd.lean,Mathlib/CategoryTheory/Limits/Shapes/Products.lean,Mathlib/CategoryTheory/Limits/Shapes/Pullback/CommSq.lean,Mathlib/CategoryTheory/Limits/Shapes/Pullback/Equifibered.lean,Mathlib/CategoryTheory/MorphismProperty/Basic.lean,Mathlib/CategoryTheory/Sites/IsSheafFor.lean,Mathlib/CategoryTheory/Triangulated/TStructure/Basic.lean,Mathlib/Combinatorics/SimpleGraph/AdjMatrix.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/Vertex.lean,Mathlib/Combinatorics/SimpleGraph/VertexCover.lean,Mathlib/Computability/Primrec.lean,Mathlib/Computability/Primrec/Basic.lean,Mathlib/Data/Finsupp/Basic.lean,Mathlib/Data/Fintype/Prod.lean,Mathlib/Data/Int/ModEq.lean,Mathlib/Data/List/Basic.lean,Mathlib/Data/List/Flatten.lean,Mathlib/Data/List/GetD.lean,Mathlib/Data/Option/Basic.lean,Mathlib/Data/Option/Defs.lean,Mathlib/Data/Set/Card.lean,Mathlib/Data/SetLike/Basic.lean,Mathlib/Data/Tree/RBMap.lean,Mathlib/FieldTheory/Isaacs.lean,Mathlib/Geometry/Manifold/PartitionOfUnity.lean,Mathlib/Geometry/Manifold/Riemannian/Basic.lean,Mathlib/Lean/Expr.lean,Mathlib/Lean/Expr/ReplaceRec.lean,Mathlib/LinearAlgebra/AffineSpace/AffineSubspace/Basic.lean |
184 |
5 |
['Parcly-Taxel', 'github-actions', 'grunweg', 'joneugster', 'mathlib-merge-conflicts'] |
joneugster assignee:joneugster |
1-44130 1 day ago |
1-47742 1 day ago |
13-86044 13 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 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
1-39274 1 day ago |
1-39814 1 day ago |
3-63116 3 days |
| 40578 |
CoolRmal author:CoolRmal |
feat(Topology/Order): convergence of suprema and infima |
The main lemma proved in this PR is that for every function `a : ι → α`, `Tendsto (fun F : Finset ι => F.inf a) atTop (𝓝 (⨅ i, a i))`, where `α` is a complete lattice and a SupConvergenceClass. The corresponding versions for `ciSup`, `iInf`, `ciInf` are also proved. We also prove `ciSup_eq_ciSup_finset`, which is the analogue of [iSup_eq_iSup_finset](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Order/CompleteLattice/Finset.html#iSup_eq_iSup_finset)
Created with the help of codex.
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t-topology
maintainer-merge
|
67/0 |
Mathlib/Data/Finset/Lattice/Fold.lean,Mathlib/Order/ConditionallyCompleteLattice/Finset.lean,Mathlib/Topology/Order/MonotoneConvergence.lean |
3 |
13 |
['CoolRmal', 'github-actions', 'mathlib-merge-conflicts', 'scholzhannah'] |
scholzhannah assignee:scholzhannah |
1-37664 1 day ago |
3-81231 3 days ago |
16-51262 16 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 |
1-37319 1 day ago |
2-70951 2 days ago |
42-61715 42 days |
| 42517 |
khwilson author:khwilson |
refactor(Analysis/LocallyConvex): state hulls via ClosureOperator |
Restate `balancedHull` and the neighborhood bases of the origin in terms of the `ClosureOperator` API, and add the general lemmas that make this possible:
* `ClosureOperator.closure_binop_le`: a closure operator is sub-`f` for any monotone binary operation `f` whose closed elements are stable under `f`; `balancedHull_add_subset` and `absConvexHull_add_subset` are instances.
* `Filter.HasBasis.and_isClosed`: combine a basis of `p`-sets with a basis of `c`-closed sets when `c` preserves `p`.
* `Topology.closureOperator`: topological closure, bundled.
* `Balanced.sUnion`, and `Balanced.closure` generalized to `SeminormedRing`.
`balancedCore` keeps its definition as a union of balanced subsets, but its API is now derived from the hull side; `balancedCoreAux` is removed in favour of lemmas stated directly about `⋂ (r : 𝕜) (_ : 1 ≤ ‖r‖), r • s`. The new `nhds_basis_open_balanced` joins `nhds_basis_closed_balanced`, `nhds_hasBasis_absConvex_open` and `nhds_hasBasis_absConvex_closed`, all four proved through `and_isClosed`.
AI Disclosure: Much of the refactoring work across files was performed by Claude Opus 5 after being given examples I wrote.
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t-topology |
170/126 |
Mathlib/Analysis/LocallyConvex/AbsConvex.lean,Mathlib/Analysis/LocallyConvex/BalancedCoreHull.lean,Mathlib/Analysis/LocallyConvex/Basic.lean,Mathlib/Order/Closure.lean,Mathlib/Order/Filter/Bases/Basic.lean,Mathlib/Topology/Closure.lean |
6 |
2 |
['github-actions', 'khwilson'] |
nobody |
1-34869 1 day ago |
1-37454 1 day ago |
1-37237 1 day |
| 42227 |
kebekus author:kebekus |
feat: API for (co)discrete sets |
Establish simple but useful API for dealing with (co)discrete sets.
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|
t-topology
maintainer-merge
|
125/2 |
Mathlib/Algebra/Polynomial/Roots.lean,Mathlib/Analysis/Calculus/Deriv/Basic.lean,Mathlib/Analysis/Calculus/FDeriv/Congr.lean,Mathlib/Topology/Algebra/Polynomial.lean,Mathlib/Topology/DiscreteSubset.lean |
5 |
36 |
['CoolRmal', 'felixpernegger', 'github-actions', 'kebekus'] |
nobody |
1-34543 1 day ago |
2-31100 2 days ago |
9-76697 9 days |
| 42221 |
mcdoll author:mcdoll |
feat(Data/FunLike): add `IsTorsionFree` theorems |
Needed for `Finsupp` and `MeasureTheory.Measure`
The lemma about torsion-free monoids was contributed in #24312.
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|
t-data
large-import
maintainer-merge
|
53/12 |
Mathlib.lean,Mathlib/Algebra/Group/Finsupp.lean,Mathlib/Algebra/Group/Pi/Lemmas.lean,Mathlib/Algebra/Group/Pi/Torsion.lean,Mathlib/Algebra/Order/Antidiag/Pi.lean,Mathlib/Data/FunLike/Group.lean,Mathlib/Data/FunLike/Module.lean |
7 |
9 |
['github-actions', 'grunweg', 'joneugster', 'mcdoll'] |
joneugster assignee:joneugster |
1-33507 1 day ago |
5-46393 5 days ago |
10-30608 10 days |
| 40855 |
NoahW314 author:NoahW314 |
feat(Data/ENNReal): add `sum_div` |
`Finset.sum_div` does not apply since `ℝ≥0∞` is not a `DivisionSemiring`. Although the proof of `Finset.sum_div` (and of this lemma) only needs `DivInvMonoid` and `NonUnitalNonAssocSemiring`, the best typeclass including these is `DivisionSemiring`.
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Removed the `open ENNReal` in `MeanInequalities` to avoid ambiguity with `Finset.sum_div`.
|
t-data
maintainer-merge
|
7/1 |
Mathlib/Analysis/MeanInequalities.lean,Mathlib/Data/ENNReal/BigOperators.lean |
2 |
8 |
['NoahW314', 'SnirBroshi', 'github-actions', 'joneugster', 'madvorak'] |
joneugster assignee:joneugster |
1-31377 1 day ago |
5-40326 5 days ago |
48-52097 48 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 |
1-28513 1 day ago |
1-31093 1 day ago |
1-30876 1 day |
| 41740 |
themathqueen author:themathqueen |
chore(Topology/Algebra/LinearMapCompletion): generalize `UniformSpace.Completion.toComplL` |
Generalize and move `toComplL` to a more appropriate file.
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(`toCompl`, `toComplL`, `toComplₗᵢ`, etc... aren't great names in my opinion, but that's a separate issue for another time)
(In another PR (maybe sometime in the near future), we should make the variables R and α explicit for `toCompl`, `toComplL`, and `toComplₗᵢ`.)
[](https://gitpod.io/from-referrer/)
|
t-topology
maintainer-merge
|
26/20 |
Mathlib/Analysis/InnerProductSpace/Reproducing.lean,Mathlib/Analysis/Normed/Module/Completion.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/DistLEIntegral.lean,Mathlib/Topology/Algebra/LinearMapCompletion.lean |
4 |
6 |
['TJHeeringa', 'github-actions', 'mathlib-merge-conflicts', 'scholzhannah', 'themathqueen'] |
scholzhannah assignee:scholzhannah |
1-27808 1 day ago |
3-2562 3 days ago |
24-25882 24 days |
| 41361 |
lakesare author:lakesare |
feat(Order/ConditionallyCompleteLattice/Finset): add `sup_eq_ciSup` |
From the Carleson project.
___
**Upstreaming from Carleson: [/Carleson/ToMathlib/Data/Finset/Lattice/Fold.lean](https://github.com/fpvandoorn/carleson/blob/a3e427dc0f23f6b818c7f7d32f2b1d2ccfab1f21/Carleson/ToMathlib/Data/Finset/Lattice/Fold.lean)**
Changes from the Carleson version:
1. `sup_eq_iSup'` is refactored (to shorten the proof & to make some of the imports unnecessary)
2. `sup_eq_iSup'` is renamed to `sup_eq_ciSup`
3. Carleson-suggested file was `/Data/Finset/Lattice/Fold.lean`, but we placed the theorem into `/Order/ConditionallyCompleteLattice/Finset.lean`
|
carleson
new-contributor
t-order
maintainer-merge
|
8/9 |
Mathlib/Order/ConditionallyCompleteLattice/Finset.lean |
1 |
21 |
['SnirBroshi', 'github-actions', 'j-loreaux', 'lakesare', 'themathqueen'] |
nobody |
1-24140 1 day ago |
1-38742 1 day ago |
19-51604 19 days |
| 40995 |
WilliamCoram author:WilliamCoram |
feat: epsilon dense implies dense |
We follow BGR - Nonarchimedean analysis and introduce the definition of a subgroup being epsilon dense. Then prove this implies dense (Prop 1.1.4./2)
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t-topology |
24/0 |
Mathlib/Topology/MetricSpace/HausdorffDistance.lean |
1 |
16 |
['WilliamCoram', 'github-actions', 'j-loreaux'] |
j-loreaux assignee:j-loreaux |
1-23862 1 day ago |
1-23862 1 day ago |
34-80913 34 days |
| 26479 |
thefundamentaltheor3m author:thefundamentaltheor3m |
feat(Analysis/Complex/CauchyIntegral): Cauchy–Goursat for Unbounded Rectangles |
In this PR, we prove versions of the Cauchy-Goursat theorem where the contours in question are rectangular and unbounded (ie, where the contours look like the $\bigsqcup$ symbol). I am not sure if I have formalised these in the best way, or if `Analysis.Complex.CauchyIntegral` is the best place for them (it might be prudent to reorganise the file into multiple files at some point), but I believe this is a useful result. Suggestions welcome.
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|
new-contributor
t-analysis
sphere-packing
|
176/0 |
Mathlib/Analysis/Complex/CauchyIntegral.lean |
1 |
34 |
['github-actions', 'j-loreaux', 'loefflerd', 'mathlib4-merge-conflict-bot', 'thefundamentaltheor3m', 'themathqueen', 'wwylele'] |
j-loreaux assignee:j-loreaux |
1-23147 1 day ago |
1-23808 1 day ago |
88-4705 88 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 |
1-22724 1 day ago |
1-71785 1 day ago |
1-71568 1 day |
| 42500 |
ocfnash author:ocfnash |
feat: a base for the root system of a Lie algebra can be promoted to a basis |
---
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|
t-algebra label:t-algebra$ |
201/5 |
Mathlib/Algebra/Lie/Basis/Base.lean,Mathlib/Algebra/Lie/Subalgebra.lean,Mathlib/Algebra/Lie/Weights/Killing.lean,Mathlib/Algebra/Lie/Weights/RootSystem.lean,Mathlib/Algebra/Module/LinearMap/Defs.lean |
5 |
1 |
['github-actions'] |
nobody |
1-22689 1 day ago |
2-5618 2 days ago |
2-5401 2 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 |
1-22566 1 day ago |
1-78613 1 day ago |
1-78396 1 day |
| 42524 |
YanYablonovskiy author:YanYablonovskiy |
feat(MeasureTheory): `fun_prop` for `integrable_stoppedValue` |
Adding `fun_prop` tag , part of WIP in golfing proof of OST at [BM#450](https://github.com/RemyDegenne/brownian-motion/pull/450
)
---
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|
t-measure-probability
easy
|
1/0 |
Mathlib/Probability/Process/Stopping.lean |
1 |
2 |
['YanYablonovskiy', 'github-actions'] |
nobody |
1-22506 1 day ago |
1-24511 1 day ago |
1-24294 1 day |
| 42511 |
chiyunhsu author:chiyunhsu |
feat(NumberTheory/Padics/PadicVal/Basic): Locally square rational numbers are squares |
Co-authored-by: María Inés de Frutos-Fernández <midff@math.uni-bonn.de>
---
In the ongoing formalization of Hasse-Minkowski Theorem on quadratic forms, we need the fact that a non-negative rational number having even p-adic valuations for all prime p is a square. This is added as `isSquare_of_even_factorization` in the `Rat` namespace in NumberTheory/Padics/PadicVal/Basic.lean in the PR. Also add preliminary lemmas`num_or_den_zero_padicVal` `num_den_even_padicVal_of_even_padicVal`.
As preliminary results, add analogous theorems for natural numbers and integers `Nat.isSquare_of_even_factorization` `Int.isSquare_of_nonneg_of_even_factorization` in Data/Nat/Factorization/Defs.lean.
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|
t-number-theory |
60/0 |
Mathlib/Data/Nat/Factorization/Defs.lean,Mathlib/NumberTheory/Padics/PadicVal/Basic.lean |
2 |
1 |
['github-actions'] |
nobody |
1-22330 1 day ago |
1-69406 1 day ago |
1-69189 1 day |
| 42510 |
williamjblair author:williamjblair |
feat(NumberTheory/AdditionChain): addition chains and the doubling bound |
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: 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. This came out of [formal-conjectures](https://github.com/google-deepmind/formal-conjectures), where it underlies the Scholz conjecture.
I could not run `scripts/lint-bib.sh` locally (no `bibtool`), so the new `knuth1997` entry is formatted by hand to match its neighbours.
[](https://gitpod.io/from-referrer/)
|
t-number-theory |
256/0 |
Mathlib.lean,Mathlib/NumberTheory/AdditionChain.lean,docs/references.bib |
3 |
0 |
[] |
nobody |
1-22315 1 day ago |
1-71423 1 day ago |
1-71206 1 day |
| 42522 |
mo271 author:mo271 |
feat(Data/Finset/Powerset): disjointness lemmas for `powersetCard` |
Add disjointness lemmas for `Finset.powersetCard`:
- `Disjoint.powersetCard_powersetCard`: `powersetCard` of disjoint sets are disjoint for positive cardinality
- `Finset.disjoint_powersetCard_of_ne`: `powersetCard` of distinct cardinalities are disjoint
- Simplify some proofs using `disjoint_powersetCard_of_ne`
---
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|
t-algebra label:t-algebra$ |
19/4 |
Mathlib/Data/Finset/Powerset.lean,Mathlib/LinearAlgebra/Multilinear/Basic.lean |
2 |
1 |
['github-actions'] |
CoolRmal assignee:CoolRmal |
1-21806 1 day ago |
1-29647 1 day ago |
1-29430 1 day |
| 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
|
190/0 |
Mathlib.lean,Mathlib/Topology/EMetricSpace/PathLength.lean |
2 |
60 |
['CoolRmal', 'Zeta-Wu', 'felixpernegger', 'github-actions', 'pelicanhere', 'scholzhannah'] |
scholzhannah assignee:scholzhannah |
1-21314 1 day ago |
10-48320 10 days ago |
12-17297 12 days |
| 42527 |
joelriou author:joelriou |
feat(CategoryTheory/Groupoid): various induction principles for morphisms |
---
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|
t-category-theory |
57/0 |
Mathlib/AlgebraicTopology/SimplicialSet/HomotopyCat.lean,Mathlib/CategoryTheory/Groupoid/FreeGroupoid.lean,Mathlib/CategoryTheory/Groupoid/FreeGroupoidOfCategory.lean |
3 |
1 |
['github-actions'] |
nobody |
1-20910 1 day ago |
1-21497 1 day ago |
1-21280 1 day |
| 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 |
1-19982 1 day ago |
1-20559 1 day ago |
43-32654 43 days |
| 42292 |
stevenliuyi author:stevenliuyi |
feat(Probability/Kernel/Composition): kernel Radon-Nikodym derivative of composition products |
This PR resolves the TODO in this file by adding `rnDeriv_measure_compProd_right` and `rnDeriv_measure_compProd`, which replace `∂(μ ⊗ₘ κ)/∂(μ ⊗ₘ η)` by `∂κ/∂η` under the suitable assumptions.
---
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|
t-measure-probability
large-import
new-contributor
maintainer-merge
|
56/7 |
Mathlib/Probability/Kernel/Composition/RadonNikodym.lean |
1 |
12 |
['EtienneC30', 'github-actions', 'stevenliuyi'] |
EtienneC30 assignee:EtienneC30 |
1-18818 1 day ago |
1-39797 1 day ago |
7-75377 7 days |
| 42338 |
D-Thomine author:D-Thomine |
chore(MeasureTheory): Move lemmas and deprecate duplicates |
This PR moves a few lemmas around in `MeasureTheory.Measure`; basically, if a lemma can be expressed and proved elementarily, it is moved upstream. For instance, if a lemma has `μ ≤ ν` has an hypothesis, it may be proved as a special case of a lemma about absolutely continuous measures, but may also be proved as easily by more elementary considerations, which means it can be moved to more suitable files upstream (e.g. to `MeasureTheory.Measure.MeasureSpace` instead of `MeasureTheory.Measure.AbsolutelyContinuous`).
This also slightly simplifies imports and allowed me to detect two exact duplicates.
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t-measure-probability |
77/68 |
Mathlib/Dynamics/Ergodic/RadonNikodym.lean,Mathlib/MeasureTheory/Group/Prod.lean,Mathlib/MeasureTheory/Measure/AEMeasurable.lean,Mathlib/MeasureTheory/Measure/AbsolutelyContinuous.lean,Mathlib/MeasureTheory/Measure/Comap.lean,Mathlib/MeasureTheory/Measure/Lebesgue/Basic.lean,Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/MeasureTheory/Measure/NullMeasurable.lean,Mathlib/MeasureTheory/Measure/QuasiMeasurePreserving.lean,Mathlib/MeasureTheory/Measure/Restrict.lean,Mathlib/MeasureTheory/Measure/WithDensity.lean |
11 |
2 |
['EtienneC30', 'github-actions'] |
EtienneC30 assignee:EtienneC30 |
1-18775 1 day ago |
6-82767 6 days ago |
6-82550 6 days |
| 42339 |
attilavjda author:attilavjda |
feat: add diagonal iSup and iInf lemmas |
Adds generic lemmas collapsing a cofinal double iSup/iInf to its diagonal, then uses them to simplify the corresponding ENat and ENNReal addition proofs.
Adds conditionally complete version with `hf : BddAbove (range fun k ↦ f k k)`. Dropping [Nonempty ι] (both sides are sSup ∅ when empty) makes the `…Bot` copy the same statement
```
CompleteSemilatticeSup
|
+--> iSup₂_eq_iSup_diagonal
|
+--> ENat.iSup_add_iSup
+--> ENNReal.iSup_add_iSup
+--> ENNReal.iInf_add_iInf (via dual)
ConditionallyCompleteLattice
|
+--> ciSup₂_eq_ciSup_diagonal
```
Aristotle helped
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t-order
new-contributor
LLM-generated
|
36/17 |
Mathlib/Data/ENNReal/Operations.lean,Mathlib/Data/ENat/Lattice.lean,Mathlib/Order/CompleteLattice/Basic.lean,Mathlib/Order/ConditionallyCompleteLattice/Indexed.lean |
4 |
13 |
['SnirBroshi', 'attilavjda', 'github-actions', 'vihdzp'] |
nobody |
1-18048 1 day ago |
2-84669 2 days ago |
4-64873 4 days |
| 41723 |
luigi-massacci author:luigi-massacci |
feat: classical distributions induced by a locally integrable function |
Analogous to the results for Tempered Distributions.
Part of a series of PRs about induced distributions.
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|
t-analysis
large-import
|
127/1 |
Mathlib/Analysis/Distribution/Distribution.lean,Mathlib/Analysis/Distribution/TestFunction.lean,docs/references.bib |
3 |
1 |
['github-actions'] |
ADedecker assignee:ADedecker |
1-18021 1 day ago |
25-24303 25 days ago |
25-24362 25 days |
| 42409 |
alreadydone author:alreadydone |
doc(CategoryTheory): fix three typos |
---
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documentation
t-category-theory
easy
|
3/3 |
Mathlib/CategoryTheory/Functor/Derived/LeftDerived.lean,Mathlib/CategoryTheory/Functor/Derived/RightDerived.lean,Mathlib/CategoryTheory/Limits/Shapes/Pullback/Categorical/Basic.lean |
3 |
1 |
['github-actions'] |
nobody |
1-17559 1 day ago |
1-18144 1 day ago |
4-21597 4 days |
| 42502 |
pepamontero author:pepamontero |
feat(Geometry/Manifold): chart conjugates of self-diffeomorphisms are compatible |
Add two lemmas showing that conjugating a self-diffeomorphism `f : OpenPartialHomeomorph M M` (i.e. `f` and `f.symm` are `ContMDiffOn` their respective domains) by two charts from the maximal atlas produces a map that
- lies in the maximal atlas (`symm_trans_trans_mem_maximalAtlas_of_contMDiffOn`) and
- satisfies the contDiffGroupoid n I compatibility condition (`symm_trans_trans_mem_contDiffGroupoid_of_contMDiffOn`)
The latter is used in [#40727](https://github.com/leanprover-community/mathlib4/pull/40727) to show that `orbitRel.Quotient G M` is a manifold when `G` acts by `ContMDiffSMul`: the quotient's chart transition maps locally agree with a group element's smul action `g0 • ·` conjugated by charts on M, and `symm_trans_trans_mem_contDiffGroupoid_of_contMDiffOn` shows this conjugate lies in `contDiffGroupoid n I`, which helps us conclude local compatibility.
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|
t-differential-geometry |
23/0 |
Mathlib/Geometry/Manifold/ContMDiff/Atlas.lean |
1 |
1 |
['github-actions'] |
nobody |
1-16240 1 day ago |
1-16901 1 day ago |
1-26583 1 day |
| 41808 |
JX-Mo author:JX-Mo |
feat(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 `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 both `ind` and `coinvariantsTensorInd`. Moreover, it turns out a single @[simp] lemma `IndV.lift_apply_IndVMk` is good enough while previously we had the annoying @[simps] above `ind` unfolding several linear algebra layers at once. We then make `ind` simply an abbrev using `IndV.lift`, without additional API lemmas.
As an immediate payoff, the definitions and proofs around `ind`, `indResHomEquiv` and `coinvariantTensorInd` becomes much cleaner.
This also has very direct downstream benefit in smooth representation theory: `ind` packages both induction and coinvariant in a single functor and these API lemmas will serve both of Hecke modules and Jacquet modules. |
t-algebra
new-contributor
label:t-algebra$ |
102/61 |
Mathlib/RepresentationTheory/FiniteIndex.lean,Mathlib/RepresentationTheory/Induced.lean |
2 |
2 |
['github-actions'] |
nobody |
1-15792 1 day ago |
1-19618 1 day ago |
23-28346 23 days |
| 41383 |
joelriou author:joelriou |
feat(Algebra/Category/ModuleCat): the category of sheaves of modules is Grothendieck abelian |
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|
t-category-theory
maintainer-merge
|
127/5 |
Mathlib.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/Generator.lean,Mathlib/AlgebraicGeometry/Modules/Sheaf.lean,Mathlib/AlgebraicGeometry/Modules/Tilde.lean,Mathlib/CategoryTheory/Abelian/GrothendieckAxioms/PresheafOfModules.lean,Mathlib/CategoryTheory/Abelian/GrothendieckAxioms/SheafOfModules.lean,Mathlib/CategoryTheory/Generator/Basic.lean |
7 |
3 |
['alreadydone', 'github-actions'] |
nobody |
1-14933 1 day ago |
1-15624 1 day ago |
34-5603 34 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 |
1-14019 1 day ago |
1-21498 1 day ago |
1-23831 1 day |
| 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
|
677/1 |
Mathlib.lean,Mathlib/Analysis/LaplaceTransform.lean,Mathlib/MeasureTheory/Integral/ExpDecay.lean |
3 |
33 |
['AlyciaBHZ', 'EtienneC30', 'dennj', 'github-actions', 'mathlib-splicebot'] |
EtienneC30 assignee:EtienneC30 |
1-6822 1 day ago |
2-4563 2 days ago |
54-49393 54 days |
| 40040 |
JovanGerb author:JovanGerb |
chore(Order/Bounds/Basic): add missing `to_dual` tags |
This PR adds some `to_dual` tags that weren't added in #35208
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t-order |
12/14 |
Mathlib/Order/Bounds/Basic.lean |
1 |
2 |
['github-actions', 'madvorak', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
1-4683 1 day ago |
1-7647 1 day ago |
69-50579 69 days |
| 41558 |
JovanGerb author:JovanGerb |
chore(order/ConditionallyCompleteLattice): use `to_dual` more |
This PR uses `to_dual` in most remaining places in `Mathlib.Order.ConditionallyCompleteLattice.Basic`.
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|
t-order |
77/185 |
Mathlib/Order/ConditionallyCompleteLattice/Basic.lean,Mathlib/Order/ConditionallyCompleteLattice/Defs.lean |
2 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
1-4349 1 day ago |
1-7763 1 day ago |
28-80471 28 days |
| 42531 |
mathlib-splicebot author:mathlib-splicebot |
chore(MeasureTheory/Integral/ExpDecay): automated extraction from #40582 |
If a function has exponential growth at most then multiplying by a stronger exponential makes it integrable at infinity.
---
This PR was automatically created from PR #40582 by @dennj via a [review comment](https://github.com/leanprover-community/mathlib4/pull/40582#discussion_r3735267224) by @EtienneC30. |
t-measure-probability |
25/1 |
Mathlib/MeasureTheory/Integral/ExpDecay.lean |
1 |
6 |
['dennj', 'github-actions', 'mathlib-splicebot', 'sgouezel'] |
nobody |
1-3334 1 day ago |
1-3359 1 day ago |
1-3387 1 day |
| 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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|
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 |
1-1722 1 day ago |
1-1722 1 day ago |
50-13135 50 days |
| 42291 |
JovanGerb author:JovanGerb |
feat: generalize transfer instance type class assumptions |
This PR refactors various declarations that are used for transporting instances or definitions along equivalences. The idea is to avoid using local instances with `letI` in places where we can assume an arbitrary instance instead, because otherwise these declarations can only be used in situations where the global instance is defeq to the one introduced by `letI`. In many cases this means that the equivalence needs to be an `AddEquiv` or `LinearEquiv` instead of an `Equiv`. This is not an issue in practice, because it is typically easy to construct this richer equivalence.
It would be possible to keep both styles of transporting declarations, but I think that would be more confusing.
This PR is a prerequisite for #41362 (no_exposing some operations in `MonoidAlgebra`), because to use the old `Equiv.distribMulAction` we need the `MonoidAlgebra` instances to be exposed.
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|
tech debt |
201/277 |
Mathlib/Algebra/Algebra/Unitization.lean,Mathlib/Algebra/Category/Grp/Colimits.lean,Mathlib/Algebra/Category/ModuleCat/Topology/Basic.lean,Mathlib/Algebra/Group/Shrink.lean,Mathlib/Algebra/GroupWithZero/Action/TransferInstance.lean,Mathlib/Algebra/GroupWithZero/Shrink.lean,Mathlib/Algebra/Homology/DerivedCategory/Ext/Linear.lean,Mathlib/Algebra/Lie/Extension.lean,Mathlib/Algebra/Lie/SemiDirect.lean,Mathlib/Algebra/Lie/TransferInstance.lean,Mathlib/Algebra/Module/Shrink.lean,Mathlib/Algebra/Module/TransferInstance.lean,Mathlib/Algebra/MonoidAlgebra/Defs.lean,Mathlib/Algebra/MonoidAlgebra/Module.lean,Mathlib/Algebra/Polynomial/Module/Basic.lean,Mathlib/Algebra/Quaternion.lean,Mathlib/Algebra/WithConv.lean,Mathlib/Analysis/LocallyConvex/WeakOperatorTopology.lean,Mathlib/Analysis/Normed/Lp/WithLp.lean,Mathlib/Analysis/Normed/Module/Shrink.lean,Mathlib/Analysis/Normed/Module/TransferInstance.lean,Mathlib/Analysis/Normed/Ring/WithAbs.lean,Mathlib/CategoryTheory/Linear/Basic.lean,Mathlib/Geometry/Manifold/Immersion.lean,Mathlib/Geometry/Manifold/Submersion.lean,Mathlib/LinearAlgebra/TensorProduct/Associator.lean,Mathlib/LinearAlgebra/TensorProduct/Map.lean,Mathlib/RepresentationTheory/Continuous/TopRep.lean,Mathlib/RingTheory/Coalgebra/Basic.lean,Mathlib/RingTheory/Coalgebra/MonoidAlgebra.lean,Mathlib/RingTheory/OrzechProperty.lean,Mathlib/Topology/Algebra/Module/TransferInstance.lean,Mathlib/Topology/Algebra/Valued/WithVal.lean |
33 |
6 |
['JovanGerb', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts'] |
nobody |
1-1158 1 day ago |
1-3713 1 day ago |
8-6934 8 days |
| 42514 |
SnirBroshi author:SnirBroshi |
feat(Analysis/Complex/IsIntegral): `I` is integral over any `CommRing` |
We have separate theorems for `ℤ` and `ℚ`, but one is enough for all rings.
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easy
t-analysis
|
12/10 |
Mathlib/Analysis/Complex/IsIntegral.lean,Mathlib/NumberTheory/Niven.lean |
2 |
7 |
['SnirBroshi', 'github-actions', 'themathqueen'] |
nobody |
1-404 1 day ago |
1-1831 1 day ago |
1-39172 1 day |
| 42539 |
NoahW314 author:NoahW314 |
chore(Algebra/Order/GroupWithZero/Canonical): remove unnecessary typeclass assumptions |
`IsReduced` and `NoZeroDivisors` can already be inferred from `LinearOrderedCommMonoidWithZero`.
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|
t-ring-theory
easy
|
1/3 |
Mathlib/Algebra/Order/GroupWithZero/Canonical.lean,Mathlib/RingTheory/Valuation/Basic.lean |
2 |
2 |
['NoahW314', 'github-actions'] |
nobody |
1-143 1 day ago |
1-2611 1 day ago |
1-2394 1 day |
| 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 |
0-82893 23 hours ago |
0-85313 23 hours ago |
1-454 1 day |
| 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 |
0-81514 22 hours ago |
0-84935 23 hours ago |
1-1390 1 day |
| 42545 |
j-loreaux author:j-loreaux |
refactor(Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Order): clean up hypotheses |
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|
t-analysis |
69/54 |
Mathlib/Analysis/CStarAlgebra/ApproximateUnit.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Order.lean,Mathlib/Analysis/CStarAlgebra/GelfandNaimarkSegal.lean,Mathlib/Analysis/CStarAlgebra/Module/Constructions.lean,Mathlib/Analysis/CStarAlgebra/Module/Defs.lean,Mathlib/Analysis/CStarAlgebra/PositiveLinearMap.lean,Mathlib/Analysis/CStarAlgebra/Unitary/Connected.lean |
7 |
6 |
['github-actions', 'themathqueen'] |
nobody |
0-79208 22 hours ago |
0-81128 22 hours ago |
0-80911 22 hours |
| 42444 |
j-loreaux author:j-loreaux |
feat: prove that in the C⋆-algebra the map `a ↦ ‖a⁺‖` is monotone |
Along the way, we provide some generic lemmas related to the continuous functional calculus and reduce the public imports of `Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Order.lean`
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|
t-analysis |
108/3 |
Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Isometric.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/NonUnital.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Order.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Unital.lean |
4 |
10 |
['github-actions', 'themathqueen'] |
nobody |
0-78882 21 hours ago |
0-80047 22 hours ago |
1-6113 1 day |
| 42526 |
joelriou author:joelriou |
feat(CategoryTheory): more API for `IsoCat` |
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|
t-category-theory
maintainer-merge
|
54/3 |
Mathlib/CategoryTheory/IsoCat.lean |
1 |
9 |
['github-actions', 'joelriou', 'robin-carlier'] |
nobody |
0-77198 21 hours ago |
1-371 1 day ago |
1-13961 1 day |
| 42529 |
joelriou author:joelriou |
chore(CategoryTheory): composition implicit reducible in `Type` |
This is meant to be used in combination with #42528 in order to have better "defeq" for categories of functors to types.
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|
t-category-theory
easy
maintainer-merge
|
2/2 |
Mathlib/CategoryTheory/Types/Basic.lean |
1 |
5 |
['github-actions', 'joelriou', 'leanprover-radar', 'robin-carlier'] |
nobody |
0-77179 21 hours ago |
0-84142 23 hours ago |
1-9342 1 day |
| 39116 |
khwilson author:khwilson |
feat(Topology/Semicontinuity/Michael): michael's selection theorem |
Michael's selection theorem states that a correspondence `f : α → Set β` from a normal, paracompact topological space `α` to a Frechet space `β` that is lower hemicontinuous, and has nonempty, closed, convex values admits a continuous selection, i.e., a map `g : α → β` such that `g x ∈ f x` for all `x`.
This theorem is used in many places, e.g., to find continuous sections to certain functions.
This PR proves this theorem.
N.B. At this time, this PR doesn't pass as it depends on two other PRs which may go through substantial changes
- [x] depends on: #38601
- [x] depends on: #39063
AI Disclosure: Various simplifications and refactors provided by Claude Code and then edited by me.
---
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|
t-topology |
282/16 |
Mathlib.lean,Mathlib/Topology/Algebra/Group/Pointwise.lean,Mathlib/Topology/Semicontinuity/Michael.lean |
3 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
j-loreaux assignee:j-loreaux |
0-76212 21 hours ago |
31-71340 31 days ago |
34-49930 34 days |
| 42491 |
grunweg author:grunweg |
chore(Geometry/Manifold/Notation): avoid more superfluous work in cus… |
…tom elaborators
We can use mkAppOptM instead of passing from an expression to syntax and re-elaborating that. Continuation of #40933.
---
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t-differential-geometry
easy
t-meta
maintainer-merge
|
6/11 |
Mathlib/Geometry/Manifold/Notation.lean |
1 |
5 |
['github-actions', 'thorimur'] |
nobody |
0-75096 20 hours ago |
2-21485 2 days ago |
2-21268 2 days |
| 42540 |
shaikidris author:shaikidris |
feat: add natural density of sets of naturals |
This PR defines the natural density of a set of natural numbers through convergence of its finite-prefix proportions.
It introduces `Set.HasNaturalDensity` and `Set.naturalDensity`, proves uniqueness, computes the densities of the empty and universal sets, and establishes that every natural density lies in `[0, 1]`.
This addresses part of the TODO in `Mathlib.Combinatorics.Schnirelmann`. Lower and upper asymptotic densities and their relationship with Schnirelmann density are left to focused follow-up PRs.
---
---
<!-- Your PR title will become the first line of the commit message.
AI disclosure: this PR is primarily LLM-generated (OpenAI Codex)
I primarily used these as part of my other project on quantitative descent already and I think there is a merit in reusability.
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|
new-contributor
t-combinatorics
|
185/2 |
Mathlib.lean,Mathlib/Combinatorics/AsymptoticDensity.lean,Mathlib/Combinatorics/Schnirelmann.lean |
3 |
8 |
['github-actions', 'shaikidris', 'wwylele'] |
nobody |
0-75042 20 hours ago |
1-1990 1 day ago |
1-1773 1 day |
| 42250 |
grunweg author:grunweg |
feat: support inferring a model with corners on a manifold over Euclidean (half-)space or quadrant |
Follow-up to https://github.com/leanprover-community/mathlib4/pull/40075. (Re-)discovered during `scholzhannah`'s master's thesis.
---
Best reviewed commit by commit.
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|
t-differential-geometry
t-meta
maintainer-merge
|
65/6 |
Mathlib/Geometry/Manifold/Notation.lean,MathlibTest/DifferentialGeometry/Notation/Advanced.lean,MathlibTest/DifferentialGeometry/Notation/Basic.lean |
3 |
7 |
['github-actions', 'grunweg', 'joneugster', 'thorimur'] |
joneugster assignee:joneugster |
0-74825 20 hours ago |
10-3101 10 days ago |
10-2884 10 days |
| 42289 |
grunweg author:grunweg |
refactor: add a separate delaborator for TotalSpace.mk' |
This allows removing the special-casing of the T% syntax in the differential geometry custom delaborators, massively reducing code duplication: the same code was repeated eight times (and #41005 would have added another four copies).
A secondary motivation is that the current delaborator code has a bug, and fixing this once is much better than doing so eight or twelve times. (This will happen in a follow-up.)
---
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|
t-differential-geometry
maintainer-merge
|
78/146 |
Mathlib/Geometry/Manifold/Notation.lean,MathlibTest/DifferentialGeometry/Notation/Basic.lean |
2 |
26 |
['JovanGerb', 'github-actions', 'grunweg', 'thorimur'] |
nobody |
0-74307 20 hours ago |
8-22091 8 days ago |
8-61804 8 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.
---
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 |
226/2 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/Reproducing.lean,Mathlib/Analysis/InnerProductSpace/Reproducing/Operations.lean |
3 |
13 |
['Maldooor', 'TJHeeringa', 'github-actions', 'mathlib-bors', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
0-73136 20 hours ago |
9-70322 9 days ago |
19-18554 19 days |
| 39395 |
marcelolynch author:marcelolynch |
chore(Tactic/Linter): reword PrivateLinter suggestion |
This matches the granular-by-default philosophy of the new module system and produces files without superfluous `@[expose] public`, which we also want to flag as undesirable: we steer to making every @[expose] is per-decl and intentional, rather than section-wide
Relevant Zulip thread: https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Removing.20unnecessary.20.60.40.5Bexpose.5D.60/with/595180230 |
t-linter
documentation
|
12/8 |
Mathlib/Tactic/Linter/PrivateModule.lean,MathlibTest/Linter/PrivateModule/HasOnlyPrivate.lean,MathlibTest/Linter/PrivateModule/Notation3.lean,MathlibTest/Linter/PrivateModule/ReservedName2.lean |
4 |
11 |
['JovanGerb', 'github-actions', 'grunweg', 'joneugster', 'marcelolynch', 'mathlib-merge-conflicts'] |
JovanGerb and joneugster assignee:joneugster assignee:JovanGerb |
0-70749 19 hours ago |
0-70749 19 hours ago |
14-71791 14 days |
| 42548 |
FrankieNC author:FrankieNC |
refactor(Topology/Compactness): use `Disjoint` in closed-subfamily compactness lemmas |
Resolve the three `-- TODO: reformulate using Disjoint` comments in `Mathlib/Topology/Compactness/Compact.lean` by restating
- `IsCompact.elim_directed_family_closed`
- `IsCompact.elim_finite_subfamily_closed`
- `isCompact_of_finite_subfamily_closed`
- `isCompact_iff_finite_subfamily_closed`
with `Disjoint s (⋂ i, t i)` in place of `s ∩ ⋂ i, t i = ∅`.
---
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t-topology |
35/43 |
Mathlib/Topology/Compactness/Compact.lean,Mathlib/Topology/Order/Compact.lean,Mathlib/Topology/Separation/Regular.lean,Mathlib/Topology/UniformSpace/Closeds.lean |
4 |
1 |
['github-actions'] |
nobody |
0-67733 18 hours ago |
0-69503 19 hours ago |
0-69286 19 hours |
| 42550 |
FrankieNC author:FrankieNC |
refactor(Topology/Compactness): use `𝓝ˢ` in `exists_subset_nhds_of_isCompact'` |
Change the hypothesis of `exists_subset_nhds_of_isCompact'` from `∀ x ∈ ⋂ i, V i, U ∈ 𝓝 x` to `U ∈ 𝓝ˢ (⋂ i, V i)`, as suggested by a TODO comment, and do the same for the variants `exists_subset_nhds_of_isCompact` and `exists_subset_nhds_of_compactSpace`.
---
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t-topology |
6/7 |
Mathlib/Topology/Compactness/Compact.lean,Mathlib/Topology/Separation/Hausdorff.lean,Mathlib/Topology/Separation/Profinite.lean |
3 |
1 |
['github-actions'] |
nobody |
0-67119 18 hours ago |
0-68820 19 hours ago |
0-68603 19 hours |
| 42179 |
FrankieNC author:FrankieNC |
chore(Logic): remove all `backward.isDefEq.respectTransparency` and `backward.defeqAttrib` options |
This removes all remaining `backward.isDefEq.respectTransparency` (and `.types`) options from `Mathlib/Logic`, as well as the two `backward.defeqAttrib.useBackward` ones. Most were stale and could just be deleted.
Three proofs needed actual fixing: `uniqueEmbeddingEquivResult` and `image_symm_preimage` now avoid unfolding through the coercions, and in the `sigmaSigmaSubtype` section it suffices to add `subtypeEquiv` to the local simp set (this also gives `sigmaSigmaSubtype_apply` a nicer form, and makes the `defeqAttrib` options unneeded).
The simps lemmas of `ofPreimageEquiv` change shape slightly; their only user, `HomOrthogonal.lean`, is unaffected. |
tech debt
t-logic
|
10/33 |
Mathlib/Logic/Embedding/Set.lean,Mathlib/Logic/Equiv/Basic.lean,Mathlib/Logic/Equiv/Embedding.lean,Mathlib/Logic/Equiv/Fin/Basic.lean,Mathlib/Logic/Equiv/Fintype.lean,Mathlib/Logic/Equiv/Option.lean,Mathlib/Logic/Equiv/Set.lean,Mathlib/Logic/Small/Defs.lean |
8 |
10 |
['FrankieNC', 'felixpernegger', 'github-actions'] |
nobody |
0-65280 18 hours ago |
11-13083 11 days ago |
11-16222 11 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 |
46/38 |
Mathlib/Topology/Compactness/Compact.lean |
1 |
1 |
['github-actions'] |
nobody |
0-64639 17 hours ago |
0-66366 18 hours ago |
0-66149 18 hours |
| 40746 |
martinwintermath author:martinwintermath |
feat(LinearAlgebra/SesquilinearForm): adding orthogonality lemmas |
Add the features proposed in #34007 to align with `PointedCone.dual`.
Other noteworthy changes:
* rename `mem_orthogonalBilin_iff` to `mem_orthogonaBilin` to align the API with `PointedCone.mem_dual`.
* generalize `orthogonal_span_singleton_eq_to_lin_ker`, and rename to `orthogonalBilin_span_singleton`.
* rename `le_orthogonalBilin_orthogonalBilin` to `IsRefl.le_orthogonalBilin_orthogonalBilin` in order to free the name for a new version that does not assume `IsRefl`.
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|
t-algebra label:t-algebra$ |
150/17 |
Mathlib/LinearAlgebra/BilinearForm/Orthogonal.lean,Mathlib/LinearAlgebra/SesquilinearForm/Orthogonal.lean |
2 |
38 |
['github-actions', 'martinwintermath', 'mathlib-dependent-issues', 'themathqueen'] |
themathqueen assignee:themathqueen |
0-63842 17 hours ago |
0-64780 17 hours ago |
36-34814 36 days |
| 42552 |
SnirBroshi author:SnirBroshi |
chore(Data/List/Chain): use `IsTrans` instead of `Trans R R R` |
---
This is the common spelling, and there are instances between them.
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t-data
easy
|
2/2 |
Mathlib/Data/List/Chain.lean |
1 |
1 |
['github-actions'] |
nobody |
0-63650 17 hours ago |
0-66491 18 hours ago |
0-66274 18 hours |
| 42556 |
SnirBroshi author:SnirBroshi |
feat(Order/JordanHolder): `IsWeakLowerModularLattice` is sufficient for `JordanHolderLattice` |
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|
t-order |
2/2 |
Mathlib/Order/JordanHolder.lean |
1 |
1 |
['github-actions'] |
nobody |
0-62425 17 hours ago |
0-63725 17 hours ago |
0-63508 17 hours |
| 41813 |
sqrt-of-2 author:sqrt-of-2 |
feat(LinearAlgebra): totally nonnegative matrices |
Define totally nonnegative matrices and add a basic API.
A matrix is totally nonnegative if all its finite minors have nonnegative determinant.
From RealRooted
Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
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|
new-contributor
t-algebra
maintainer-merge
label:t-algebra$ |
115/1 |
Mathlib.lean,Mathlib/Data/Set/Finite/Range.lean,Mathlib/LinearAlgebra/Matrix/Determinant/TotallyNonneg.lean,Mathlib/Order/Hom/Set.lean |
4 |
19 |
['Vierkantor', 'YaelDillies', 'github-actions', 'j-loreaux', 'sqrt-of-2', 'vlad902'] |
j-loreaux assignee:j-loreaux |
0-62030 17 hours ago |
0-64687 17 hours ago |
19-83777 19 days |
| 42555 |
SnirBroshi author:SnirBroshi |
feat(Order/Preorder/Chain): `IsMaxChain` is `Maximal IsChain` |
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t-order
easy
|
4/0 |
Mathlib/Order/Preorder/Chain.lean |
1 |
1 |
['github-actions'] |
nobody |
0-61597 17 hours ago |
0-64168 17 hours ago |
0-63951 17 hours |
| 42549 |
plp127 author:plp127 |
chore(Data/Set): add missing `Set.forall_mem_*` lemmas |
Add lemmas `Set.forall_mem_inter`, `Set.forall_mem_union`, `Set.forall_mem_singleton`, `Set.forall_mem_univ` and their `exists` counterparts.
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|
t-data |
44/0 |
Mathlib/Data/Set/Basic.lean,Mathlib/Data/Set/Insert.lean |
2 |
1 |
['github-actions'] |
nobody |
0-59710 16 hours ago |
0-62862 17 hours ago |
0-68125 18 hours |
| 42546 |
plp127 author:plp127 |
chore: rename `Set.exists_mem_of_nonempty` |
Rename `Set.exists_mem_of_nonempty` to `Set.exists_mem_univ_of_nonempty`.
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|
t-data |
8/6 |
Mathlib/Data/Set/Basic.lean,Mathlib/LinearAlgebra/Multilinear/Basic.lean,Mathlib/Topology/MetricSpace/GromovHausdorff.lean |
3 |
1 |
['github-actions'] |
nobody |
0-58032 16 hours ago |
0-75913 21 hours ago |
0-75696 21 hours |
| 33247 |
sun123zxy author:sun123zxy |
feat(Mathlib/RingTheory/Ideal/Cotangent): dimension of cotangent spaces |
It is shown that the span rank of the maximal ideal of a local ring equals the dimension of the cotangent space
if the maximal ideal is finitely generated.
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|
new-contributor
t-ring-theory
|
39/0 |
Mathlib/RingTheory/Ideal/Cotangent.lean |
1 |
16 |
['erdOne', 'github-actions', 'mathlib-bors', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'sun123zxy', 'vlad902'] |
riccardobrasca assignee:riccardobrasca |
0-55883 15 hours ago |
31-72867 31 days ago |
66-8161 66 days |
| 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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[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
39/1 |
Mathlib/Algebra/Group/WithOne/Defs.lean,Mathlib/RingTheory/Valuation/Extension.lean |
2 |
6 |
['faenuccio', 'github-actions', 'plp127', 'riccardobrasca'] |
riccardobrasca assignee:riccardobrasca |
0-55883 15 hours ago |
63-13554 63 days ago |
72-49357 72 days |
| 42452 |
menon-codes author:menon-codes |
feat: lint for use of ellipsis |
See the conversation at [#mathlib4 > Linter for ellipsis @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Linter.20for.20ellipsis/near/613523943)
Creates a linter to detect excessive use of `_` holes at end of lemmas and replace it when appropriate with uses of `..`
It also creates a respective test file to check it, though I am not too certain about the styles and techniques mathlib uses for testing.
AI (GPT 5.6 Terra) was used heavily in the documentation and testing of the code. Most of the logic and coding was done manually. |
new-contributor
LLM-generated
t-linter
|
927/5 |
Mathlib.lean,Mathlib/Init.lean,Mathlib/RingTheory/NoetherNormalization.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean,Mathlib/Tactic/Linter/EllipsisPlaceholders.lean,MathlibTest/Linter/EllipsisPlaceholders.lean |
7 |
7 |
['copilot-pull-request-reviewer', 'github-actions', 'mathlib-bors', 'menon-codes'] |
thorimur assignee:thorimur |
0-55881 15 hours ago |
3-36622 3 days ago |
3-40560 3 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 |
0-55880 15 hours ago |
2-52701 2 days ago |
2-52484 2 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 |
44 |
['Shreyas4991', 'YaelDillies', 'Zetetic-Dhruv', 'github-actions'] |
nobody |
0-54981 15 hours ago |
90-67598 90 days ago |
107-28030 107 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'] |
nobody |
0-54980 15 hours ago |
77-12808 77 days ago |
92-68760 92 days |
| 38859 |
SnirBroshi author:SnirBroshi |
feat(Order/CompleteLattice/Basic): tag `iSup_of_empty'` with `@[simp]` |
The theorem says `iSup f = sSup ∅` when the domain of `f` is empty, and dually `iInf f = sInf ∅`.
---
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|
t-order |
31/47 |
Mathlib/Algebra/Order/Archimedean/Real/Basic.lean,Mathlib/Analysis/Normed/Lp/lpSpace.lean,Mathlib/Analysis/Seminorm.lean,Mathlib/Data/ENat/Lattice.lean,Mathlib/Data/NNReal/Basic.lean,Mathlib/Data/Set/Finite/Lattice.lean,Mathlib/LinearAlgebra/Eigenspace/Pi.lean,Mathlib/MeasureTheory/Constructions/BorelSpace/Order.lean,Mathlib/Order/CompleteLattice/Basic.lean,Mathlib/Order/ConditionallyCompleteLattice/Indexed.lean,Mathlib/Order/ConditionallyCompletePartialOrder/Indexed.lean,Mathlib/Order/Filter/Basic.lean,Mathlib/Order/Filter/Lift.lean,Mathlib/Order/Lattice/Nat.lean |
14 |
4 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
0-54980 15 hours ago |
21-76946 21 days ago |
96-30642 96 days |
| 38979 |
ldct author:ldct |
feat(EReal): simplify nat + ⊤ |
Alternative version of https://github.com/leanprover-community/mathlib4/pull/38975
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|
t-data |
28/2 |
Mathlib/Data/EReal/Basic.lean,Mathlib/Data/EReal/Operations.lean,MathlibTest/EReal.lean |
3 |
7 |
['SnirBroshi', 'eric-wieser', 'github-actions', 'ldct', 'leanprover-radar', 'plp127'] |
nobody |
0-54979 15 hours ago |
94-7059 94 days ago |
94-6972 94 days |
| 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.
-[ ] depends on #40571
---
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|
t-ring-theory
LLM-generated
|
91/0 |
Mathlib/RingTheory/PowerSeries/Log.lean,Mathlib/RingTheory/PowerSeries/Substitution.lean |
2 |
17 |
['chrisflav', 'github-actions', 'rwst', 'yuanyi-350'] |
nobody |
0-54978 15 hours ago |
56-6133 56 days ago |
119-53558 119 days |
| 39567 |
AlexBrodbelt author:AlexBrodbelt |
feat(Mathlib/Data/Finite/Option): option type is finite iff type is finite |
Option type is finite if and only if the type is finite.
This is an intermediate result to proving that if the `GroupWithZero` is (in)finite then the `Units` are (in)finite.
---
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t-data
new-contributor
|
25/0 |
Mathlib.lean,Mathlib/Data/Finite/Option.lean |
2 |
14 |
['AlexBrodbelt', 'github-actions', 'plp127', 'themathqueen'] |
nobody |
0-54978 15 hours ago |
81-22303 81 days ago |
81-22700 81 days |
| 39117 |
joelriou author:joelriou |
feat(CategoryTheory): the right derived functor commutes with the shift |
A few lemmas are obtained about precomposing and postcomposing left/right Kan extensions or right/left derived functors with equivalences of categories. By applying these results to the equivalences given by shifts, we construct a family of isomorphisms which shows that the right derived functor commutes with shifts, and by proving certain compatibilities, we obtain a `Functor.CommShift` instance on the right derived functor of a functor which commutes with shifts.
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|
t-category-theory
large-import
|
426/9 |
Mathlib.lean,Mathlib/CategoryTheory/Functor/Derived/LeftDerived.lean,Mathlib/CategoryTheory/Functor/Derived/RightDerived.lean,Mathlib/CategoryTheory/Functor/Derived/RightDerivedCommShift.lean,Mathlib/CategoryTheory/Functor/KanExtension/AdjunctionPreserves.lean,Mathlib/CategoryTheory/Functor/KanExtension/Basic.lean,Mathlib/CategoryTheory/Shift/CommShift.lean,Mathlib/CategoryTheory/Shift/Localization.lean |
8 |
16 |
['dagurtomas', 'github-actions', 'joelriou', 'mathlib-merge-conflicts', 'robin-carlier'] |
nobody |
0-54976 15 hours ago |
22-29558 22 days ago |
60-74861 60 days |
| 41228 |
joelriou author:joelriou |
feat(Algebra/ModuleCat/Differentials/Presheaf): the presheaf of relative differentials |
Given a functor `F : C ⥤ D`, presheaves of commutative rings `S`, `R` and a morphism `φ : S ⟶ F.op ⋙ R`, we show that derivations relative to `φ` are representable by a presheaf of `R`-modules.
This is obtained by reducing to the case of absolute differentials. The construction shall allow to deduce the presheaf version of the cokernel sequence $$f^\star \Omega_{Y/S} ⟶ \Omega_{X/S} ⟶ \Omega_{X/Y} ⟶ 0$$ when `f : X ⟶ Y` and `g : Y ⟶ S` are morphisms of schemes.
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t-algebraic-geometry
t-category-theory
t-algebra
large-import
label:t-algebra$ |
458/21 |
Mathlib/Algebra/Category/ModuleCat/Differentials/Presheaf.lean |
1 |
1 |
['github-actions'] |
nobody |
0-54976 15 hours ago |
38-27680 38 days ago |
38-27463 38 days |
| 41232 |
joelriou author:joelriou |
feat(CategoryTheory/Presentable): equivalence between the various definitions of sharply smaller regular cardinals |
---
- [x] depends on: #40937
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t-category-theory |
366/16 |
Mathlib/CategoryTheory/Comma/CardinalArrow.lean,Mathlib/CategoryTheory/Presentable/Basic.lean,Mathlib/CategoryTheory/Presentable/SharplyLT/Basic.lean,Mathlib/Order/Monotone/Defs.lean |
4 |
17 |
['github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'smorel394'] |
nobody |
0-54975 15 hours ago |
22-18725 22 days ago |
34-43261 34 days |
| 39504 |
WenrongZou author:WenrongZou |
feat(MvPowerSeries/Ideal): kernel of map equals map `C` of kernel |
In this PR, we prove that given a ring homomorphism f, suppose that kernel of f is finitely generated, then kernel of map equals map `C` of kernel. (See `ker_map_of_FG`).
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|
t-ring-theory |
87/0 |
Mathlib.lean,Mathlib/RingTheory/MvPowerSeries/Ideal.lean |
2 |
6 |
['CoolRmal', 'WenrongZou', 'github-actions'] |
nobody |
0-54974 15 hours ago |
36-14508 36 days ago |
83-16566 83 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 |
0-54973 15 hours ago |
70-85738 70 days ago |
70-85521 70 days |
| 40904 |
jiangf13 author:jiangf13 |
chore(Algebra/Group/WithOne): remove stale TODO |
The TODO claimed that `WithOne.coe_mul` and `WithZero.coe_mul` have inconsistent implicit parameters. Their current signatures are both of the form `{α} [Mul α] (a b : α)`, so the TODO is stale.
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|
t-algebra
new-contributor
maintainer-merge
label:t-algebra$ |
0/4 |
Mathlib/Algebra/Group/WithOne/Defs.lean |
1 |
3 |
['Multramate', 'github-actions', 'themathqueen'] |
nobody |
0-54973 15 hours ago |
47-1769 47 days ago |
47-1552 47 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'] |
nobody |
0-54972 15 hours ago |
21-76343 21 days ago |
90-15737 90 days |
| 39366 |
akiezun author:akiezun |
feat(Data/Nat): add prime divisibility for ascFactorial and choose |
Adds two prime-divisibility lemmas for natural-number factorial/binomial APIs.
The first characterizes when a prime divides an ascending factorial:
`Nat.Prime.dvd_ascFactorial_iff`.
The second applies this to binomial coefficients:
`Nat.Prime.dvd_choose_add_sub_one_iff`, using
`Nat.ascFactorial_eq_factorial_mul_choose'` and cancellation of the `n!` factor
when `n < p`.
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|
t-data
new-contributor
large-import
|
46/0 |
Mathlib.lean,Mathlib/Data/Nat/Choose/Consecutive.lean,Mathlib/Data/Nat/Factorial/BigOperators.lean |
3 |
9 |
['SnirBroshi', 'akiezun', 'github-actions', 'wwylele'] |
nobody |
0-54972 15 hours ago |
81-80158 81 days ago |
86-3920 86 days |
| 40006 |
tautschnig author:tautschnig |
feat(Data/ZMod/Basic): idempotents in ZMod (p^d) are exactly {0, 1} |
Add sq_eq_self_iff_eq_zero_or_one: in ZMod (p^d) for prime p and d > 0, x^2 = x iff x = 0 or x = 1.
This generalises eq_zero_or_one_of_sq_eq_self (which requires CancelMonoidWithZero, i.e., no zero divisors) to the prime-power case. ZMod (p^d) has zero divisors for d >= 2, so the mul_left_injective₀ argument used by the existing lemma does not apply. The proof works by lifting to ℕ, using that if gcd(a, b) = 1 and p^d | a*b then p^d divides one of a or b (by Euclid's lemma), then noting that a = x.val and b = x.val - 1 are consecutive naturals and hence coprime.
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t-data
new-contributor
|
56/0 |
Mathlib/Data/ZMod/Basic.lean |
1 |
3 |
['Julian-Kuelshammer', 'github-actions'] |
nobody |
0-54971 15 hours ago |
71-24994 71 days ago |
71-25472 71 days |
| 41139 |
Deicyde author:Deicyde |
doc: add wikidata attributes |
This PR adds a batch of 20 `@[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=41139 for reviewer UI.
---
|
LLM-generated |
35/2 |
Mathlib/Algebra/IsPrimePow.lean,Mathlib/Analysis/Complex/Circle.lean,Mathlib/Analysis/InnerProductSpace/Adjoint.lean,Mathlib/Analysis/Normed/Algebra/Spectrum.lean,Mathlib/Analysis/Normed/Operator/BoundedLinearMaps.lean,Mathlib/Combinatorics/SimpleGraph/Clique.lean,Mathlib/Combinatorics/SimpleGraph/Finite.lean,Mathlib/Data/Set/Operations.lean,Mathlib/Geometry/Manifold/Instances/Real.lean,Mathlib/LinearAlgebra/BilinearMap.lean,Mathlib/LinearAlgebra/Matrix/Charpoly/Basic.lean,Mathlib/LinearAlgebra/Matrix/Symmetric.lean,Mathlib/LinearAlgebra/RootSystem/WeylGroup.lean,Mathlib/MeasureTheory/Function/L1Space/Integrable.lean,Mathlib/MeasureTheory/OuterMeasure/AE.lean,Mathlib/NumberTheory/NumberField/Basic.lean,Mathlib/RingTheory/ClassGroup/Basic.lean,Mathlib/Topology/Defs/Basic.lean |
18 |
30 |
['Deicyde', 'SnirBroshi', 'faenuccio', 'github-actions'] |
nobody |
0-54183 15 hours ago |
14-85752 14 days ago |
36-36251 36 days |
| 42560 |
SnirBroshi author:SnirBroshi |
feat(Order/Preorder/Chain): `List.IsChain` implies `IsChain` for transitive relations |
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t-order
easy
|
5/0 |
Mathlib/Order/Preorder/Chain.lean |
1 |
1 |
['github-actions'] |
nobody |
0-53519 14 hours ago |
0-56016 15 hours ago |
0-55799 15 hours |
| 42044 |
wwylele author:wwylele |
feat(GroupTheory/Sylow): a tower of subgroup exists |
This is a pretty trivial corollary but tedious to write formally, so let's provide it for convenience. My recent application of this is to show that a Galois extension of degree `2 ^ n` consists of a tower of quadratic extensions, and with this I can avoid doing too much induction with field theory.
I also took some liberties in the naming, as the one strictly following the statement would be long and obscure.
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|
t-group-theory |
95/0 |
Mathlib/Algebra/Group/Subgroup/Finite.lean,Mathlib/GroupTheory/Sylow.lean |
2 |
23 |
['SnirBroshi', 'copilot-pull-request-reviewer', 'github-actions', 'tb65536', 'wwylele'] |
nobody |
0-49620 13 hours ago |
2-52090 2 days ago |
11-25860 11 days |
| 37910 |
wwylele author:wwylele |
feat(Geometry/Euclidean): volume of a simplex |
This defines the volume of a simplex in Euclidean geometry, and shows that it agrees with measure theory. It also adds the basic set of lemmas (base-and-height formula, reindex, positivity, map, and restrict). Further properties of the volume will be in future PRs.
Three new file s are introduced and organized in the following dependency chain:
Def.lean -> MeasureSimplex.Lean -> Basic.lean
The Def.lean file has the definition only. MeasureSimplex.lean pulls in measure theory. Basic.lean publicly imports Def.lean, and privately imports MeasureSimplex.lean. When a downstream file imports Basic.lean, the measure theory part is not exposed and all properties of the volume is provided.
---
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- [x] depends on: #36018
[](https://gitpod.io/from-referrer/)
|
t-euclidean-geometry
t-measure-probability
|
307/0 |
Mathlib.lean,Mathlib/Geometry/Euclidean/Volume/Basic.lean,Mathlib/Geometry/Euclidean/Volume/Def.lean,Mathlib/Geometry/Euclidean/Volume/MeasureSimplex.lean,MathlibTest/positivity.lean |
5 |
16 |
['YanYablonovskiy', 'copilot-pull-request-reviewer', 'felixpernegger', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'wwylele'] |
kex-y assignee:kex-y |
0-47678 13 hours ago |
38-81847 38 days ago |
38-82103 38 days |
| 41596 |
teorth author:teorth |
feat(Archive/RiemannStieltjes): archived version of the Riemann-Stieltjes and Riemann integrals |
Construction of the Riemann and Riemann-Stieltjes integrals, based on the BoxIntegral API. These notions are weaker than the Bochner and vector-valued integrals already in Mathlib, so after the discussion in #41108 and https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/What.20to.20do.20with.20weak.20but.20standard.20math.2C.20e.2Eg.2E.20Riemann.20integ.3F , the basic definitions are being PR'ed to Archive rather than Mathlib.
---
The code was primarily human-generated, but AI was used to review the submission.
- [x] depends on: #41592
[](https://gitpod.io/from-referrer/)
|
t-analysis |
499/29 |
Archive.lean,Archive/RiemannStieltjes.lean,Mathlib/Analysis/BoxIntegral/Basic.lean,Mathlib/Analysis/BoxIntegral/Partition/Additive.lean |
4 |
30 |
['github-actions', 'j-loreaux', 'madvorak', 'mathlib-dependent-issues', 'teorth'] |
j-loreaux assignee:j-loreaux |
0-43500 12 hours ago |
0-43500 12 hours ago |
23-73129 23 days |
| 42558 |
AMcRoberts author:AMcRoberts |
feat(Analysis/Polynomial): add Sturm's theorem for real polynomials |
We introduce Sturm sequences for real polynomials and prove Sturm's theorem:
the number of sign variations of the sequence decreases by exactly the
number of distinct roots crossed on a half-open interval. The development
follows the structure of Manuel Eberl's AFP entry *A Formalisation of
Sturm's Theorem* (2014); see the module's own `## References` section.
A follow-up PR adds `CertifiedSturmChain`, instantiating this theorem from
an exact Euclidean/pseudo-remainder-sequence certificate. |
t-analysis
new-contributor
|
1065/0 |
Mathlib.lean,Mathlib/Analysis/Polynomial/Sturm.lean,MathlibTest/Sturm.lean,docs/references.bib |
4 |
3 |
['github-actions'] |
nobody |
0-43092 11 hours ago |
0-43644 12 hours ago |
0-43693 12 hours |
| 42559 |
AMcRoberts author:AMcRoberts |
feat(Analysis/Polynomial): certified Sturm chains from a PRS certificate |
**Stacked on #42558** — this branch is `sturm-abstract` plus one more commit,
so the diff will include both PRs' changes until #42558 merges. Only the
second commit (`SturmCertificate.lean` + its test file) belongs to this PR;
please review that commit specifically until #42558 lands, at which point
this diff will shrink to just this PR's content.
---
`CertifiedSturmChain` packages the algebraic data a Euclidean or
pseudo-remainder-sequence construction naturally produces (a positive-scaled
recurrence at each step, a nonzero-constant Bézout identity between `p` and
its derivative, and a nonzero-constant terminal element) and proves it
satisfies `IsSturmSequence` (#42558), so a concrete PRS chain can drive
Sturm's root-count theorem directly without re-deriving the sign semantics
per instance.
This development was produced independently from the classical sources
cited in the module's own `## References` section, without consulting the
formalisation cited by #42558. |
t-analysis
new-contributor
|
1393/0 |
Mathlib.lean,Mathlib/Analysis/Polynomial/Sturm.lean,Mathlib/Analysis/Polynomial/SturmCertificate.lean,MathlibTest/Sturm.lean,MathlibTest/SturmCertificate.lean,docs/references.bib |
6 |
2 |
['github-actions'] |
nobody |
0-43071 11 hours ago |
0-43636 12 hours ago |
0-43694 12 hours |
| 41557 |
lakesare author:lakesare |
feat(Analysis/Convolution): add convolution_symm, convolution, (3 more lemmas) |
**Upstreaming from Carleson: [/Carleson/ToMathlib/Analysis/Convolution.lean](https://github.com/fpvandoorn/carleson/blob/master/Carleson/ToMathlib/Analysis/Convolution.lean)**
___
### Upstreamed theorems
- **theorem convolution_symm**
- renamed `g` to `f'` (to reuse the existing section variable)
- **theorem AEStronglyMeasurable.convolution** (refactored)
- **lemma lintegral_enorm_convolution_integrand_le_eLpNorm_mul_eLpNorm** (refactored)
- removed the comment _"This implies both of the following theorems convolutionExists_of_memLp_memLp and enorm_convolution_le_eLpNorm_mul_eLpNorm."_, because the comment would create an impression that it's an auxiliary lemma that shouldn't be used on its own
- **theorem ConvolutionExists.of_memLp_memLp** (slightly refactored)
- `(hf : AEStronglyMeasurable f μ)` and `(hg : AEStronglyMeasurable g μ)` were removed, because we can derive those hypotheses from `hfp.aestronglyMeasurable` and `hgq.aestronglyMeasurable` respectively (which we did during refactoring)
- **theorem enorm_convolution_le_eLpNorm_mul_eLpNorm**
___
- **lemma lintegral_enorm_convolution_integrand_le_eLpNorm_mul_eLpNorm,
theorem ConvolutionExists.of_memLp_memLp,
theorem enorm_convolution_le_eLpNorm_mul_eLpNorm**
- turned `(hpq : p.HolderConjugate q)` into an instance implicit `[hpq : p.HolderConjugate q]` (there does exist a `class HolderConjugate` for ENNReals, so mathlib seems to use instance implicits in such cases, like e.g. [here](https://github.com/leanprover-community/mathlib4/blob/79aee35d9696d759b73eed71d7dde666750bc35e/Mathlib/Analysis/Normed/Lp/lpHolder.lean#L262))
- **theorem AEStronglyMeasurable.convolution,
lemma lintegral_enorm_convolution_integrand_le_eLpNorm_mul_eLpNorm,
theorem ConvolutionExists.of_memLp_memLp,
theorem enorm_convolution_le_eLpNorm_mul_eLpNorm**
- `L` was implicit, now became explicit (to comply with existing section variables)
- changed `[SigmaFinite μ]` to `[SFinite μ]` (because it's a weaker requirement [/Mathlib/MeasureTheory/Measure/Typeclasses/SFinite.lean#L191](https://github.com/leanprover-community/mathlib4/blob/9ef14c7b82f8a45f8dfc03dace26d6bb25023bac/Mathlib/MeasureTheory/Measure/Typeclasses/SFinite.lean#L191))
|
carleson
t-analysis
new-contributor
|
63/5 |
Mathlib/Analysis/Convolution.lean,Mathlib/MeasureTheory/Function/LpSeminorm/CompareExp.lean |
2 |
11 |
['github-actions', 'j-loreaux', 'lakesare'] |
j-loreaux assignee:j-loreaux |
0-40419 11 hours ago |
0-41440 11 hours ago |
25-16430 25 days |
| 42562 |
SnirBroshi author:SnirBroshi |
chore(Tactic/Linter/TextBased/UnicodeLinter): update abbrevations |
Ran the script on the latest commit (`5a25e6a`) of `vscode-lean4`, updated the dates and the commit reference.
https://github.com/leanprover/vscode-lean4/commit/9ca2a826c07ab07ea2a79e0d66105de0b7e33349 added auto-closing abbrevations for existing characters which only caused stuff to shift around. The three new characters are `❰❱` from https://github.com/leanprover/vscode-lean4/commit/7af7fa92a3883aeedb350e79a7925ca78c430658 and `⦂` from https://github.com/leanprover/vscode-lean4/commit/00a05fe2a7076e431cad7af1ad24cd14452145d0.
I've also verified that all 97 chars in `othersInMathlib` are still in use.
---
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[](https://gitpod.io/from-referrer/)
|
t-linter |
82/82 |
Mathlib/Tactic/Linter/TextBased/UnicodeLinter.lean |
1 |
1 |
['github-actions'] |
nobody |
0-39397 10 hours ago |
0-39942 11 hours ago |
0-39725 11 hours |
| 42547 |
kirill-kondrashov author:kirill-kondrashov |
feat(LinearAlgebra/ExteriorPower): add dual basis pairing technical lemma |
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In `Mathlib/LinearAlgebra/ExteriorPower/Basis.lean`, add a technical lemma `pairingDual_apply_dualBasis_exteriorPower`, needed by #17722, following the plan mentioned at [#maths > Hodge star operator @ 💬](https://leanprover.zulipchat.com/#narrow/channel/116395-maths/topic/Hodge.20star.20operator/near/615280568).
GPT-5.6-luna was used for this PR to fill in the proof body given a manually defined theorem statement.
[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
LLM-generated
easy
label:t-algebra$ |
10/0 |
Mathlib/LinearAlgebra/ExteriorPower/Basis.lean |
1 |
6 |
['github-actions', 'kirill-kondrashov', 'mathlib-bors'] |
nobody |
0-37114 10 hours ago |
0-71345 19 hours ago |
0-72461 20 hours |
| 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 |
0-36316 10 hours ago |
4-2042 4 days ago |
6-43345 6 days |
| 40400 |
seewoo5 author:seewoo5 |
feat(Algebra/Order/Floor): hermite identity for floor function |
---
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[Hermite's identity](https://en.wikipedia.org/wiki/Hermite%27s_identity) for floor function. Usually stated over real numbers, but it also holds for "floor field". Initially done by Claude Opus 4.7, and later golfed by myself. Proved as a part of personal project.
[](https://gitpod.io/from-referrer/)
|
t-algebra
LLM-generated
label:t-algebra$ |
75/0 |
Mathlib.lean,Mathlib/Algebra/Order/Floor/Hermite.lean |
2 |
7 |
['b-mehta', 'github-actions', 'seewoo5', 'themathqueen'] |
ocfnash assignee:ocfnash |
0-35877 9 hours ago |
59-46715 59 days ago |
60-16733 60 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'] |
mattrobball assignee:mattrobball |
0-35842 9 hours ago |
59-38482 59 days ago |
60-13882 60 days |
| 42512 |
SnirBroshi author:SnirBroshi |
feat(Order/Interval/Set/Disjoint): generalize `⋃ x ∈ s, Iic x = Iic a` from `LinearOrder` to `Preorder` |
and add an `IsLeast` version.
---
(yes more stuff here could be `to_dual`ized, but that's a separate issue)
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[](https://gitpod.io/from-referrer/)
|
t-order |
39/11 |
Mathlib/Order/Bounds/Basic.lean,Mathlib/Order/Interval/Set/Disjoint.lean |
2 |
6 |
['SnirBroshi', 'github-actions', 'themathqueen'] |
nobody |
0-35726 9 hours ago |
1-593 1 day ago |
1-44053 1 day |
| 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 |
676/613 |
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 |
10 |
['eric-wieser', 'github-actions', 'gloges'] |
nobody |
0-34380 9 hours ago |
0-35895 9 hours ago |
0-36396 10 hours |
| 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$ |
52/5 |
Mathlib/Analysis/Normed/Field/WithAbs.lean,Mathlib/Topology/Algebra/Ring/Basic.lean |
2 |
1 |
['github-actions'] |
nobody |
0-32759 9 hours ago |
0-84346 23 hours ago |
0-85102 23 hours |
| 42209 |
xroblot author:xroblot |
feat(Algebra/QuadraticAlgebra): change of generator |
Add `QuadraticAlgebra.map`, the `R`-algebra map induced by a change of generator `ω ↦ u • ω + k`, and `QuadraticAlgebra.mapEquiv`, its packaging as an isomorphism when `u` is a unit.
---
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|
t-algebra label:t-algebra$ |
54/1 |
Mathlib/Algebra/QuadraticAlgebra/Basic.lean |
1 |
4 |
['Whysoserioushah', 'github-actions'] |
nobody |
0-29601 8 hours ago |
7-59117 7 days ago |
10-2896 10 days |
| 42564 |
thorimur author:thorimur |
chore(OreLocalization): clean up `backward.privateInPublic` |
1. Refactors `OreLocalization.smul` to use `let`s instead of private declarations. (Inlines a private def in the type of a private theorem as well.)
2. `private`s the fields of `LocalizedModule.moduleOfIsLocalization`. (`@[no_expose]`ing breaks things later in the file, since the field bodies would still be private in that case.)
---
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|
tech debt
t-group-theory
|
38/58 |
Mathlib/Algebra/Module/LocalizedModule/Basic.lean,Mathlib/GroupTheory/OreLocalization/Basic.lean |
2 |
3 |
['github-actions', 'leanprover-radar', 'thorimur'] |
nobody |
0-29222 8 hours ago |
0-35480 9 hours ago |
0-35263 9 hours |
| 42378 |
TJHeeringa author:TJHeeringa |
feat(Analysis/Normed/Operator/Extend): add LinearIsometry.completion and LinearIsometry.fromCompletion |
This PR adds `LinearIsometry.completion` and `LinearIsometry.fromCompletion`. These are the `LinearIsometry` versions of the `.completion` and `.fromCompletion` maps, extending a linear isometry `f : E →ₛₗᵢ[σ₁₂] F` to `UniformSpace.Completion E →ₛₗᵢ[σ₁₂] UniformSpace.Completion F` and `UniformSpace.Completion E →ₛₗᵢ[σ₁₂] F` respectively.
---
Naming scheme is chosen to match with [the Zulip thread here](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/naming.20convention.3A.20.60UniformSpace.2ECompletion.60.20morphisms) and the associated PR #38039.
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|
t-analysis |
84/2 |
Mathlib/Analysis/Normed/Operator/Extend.lean |
1 |
7 |
['TJHeeringa', 'github-actions', 'j-loreaux'] |
nobody |
0-28772 7 hours ago |
0-28772 7 hours ago |
1-57466 1 day |
| 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 |
1 |
['github-actions'] |
nobody |
0-28554 7 hours ago |
0-28611 7 hours ago |
0-28410 7 hours |
| 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
|
156/6 |
Mathlib/Order/RelSeries.lean |
1 |
1 |
['github-actions'] |
nobody |
0-28237 7 hours ago |
0-29935 8 hours ago |
0-42365 11 hours |
| 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 |
0-25527 7 hours ago |
1-35538 1 day ago |
1-35321 1 day |
| 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'] |
nobody |
0-22150 6 hours ago |
30-65322 30 days ago |
30-65105 30 days |
| 42570 |
kebekus author:kebekus |
chore: add tag `fun_prop` to `MeromorphicOn` and `AnalyticOnNhd` |
For improved proof automation, add tag `fun_prop` to `MeromorphicOn` and `AnalyticOnNhd`, provide transition lemmas, and golf existing call sites.
---
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|
t-analysis |
178/38 |
Mathlib/Analysis/Analytic/Basic.lean,Mathlib/Analysis/Analytic/Composition.lean,Mathlib/Analysis/Analytic/Constructions.lean,Mathlib/Analysis/Analytic/Linear.lean,Mathlib/Analysis/Complex/CanonicalDecomposition.lean,Mathlib/Analysis/Complex/JensenFormula.lean,Mathlib/Analysis/Complex/ValueDistribution/FirstMainTheorem.lean,Mathlib/Analysis/Complex/ValueDistribution/Proximity/Basic.lean,Mathlib/Analysis/Meromorphic/Basic.lean,Mathlib/Analysis/Meromorphic/Complex.lean,Mathlib/Analysis/Meromorphic/Divisor.lean,Mathlib/Analysis/SpecialFunctions/ExpDeriv.lean,Mathlib/Analysis/SpecialFunctions/Gamma/Digamma.lean,Mathlib/Analysis/SpecialFunctions/Integrability/LogMeromorphic.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Deriv.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/DerivHyp.lean,Mathlib/MeasureTheory/Integral/CircleIntegral.lean,MathlibTest/FunProp.lean |
18 |
1 |
['github-actions'] |
nobody |
0-21525 5 hours ago |
0-21561 5 hours ago |
0-21344 5 hours |
| 42568 |
joelriou author:joelriou |
feat(CategoryTheory/Sites): criteria for `IsSheafFor` for a presieve generated by a single morphism |
---
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|
t-category-theory |
47/0 |
Mathlib/CategoryTheory/Sites/IsSheafFor.lean,Mathlib/CategoryTheory/Sites/Sieves.lean |
2 |
1 |
['github-actions'] |
nobody |
0-20983 5 hours ago |
0-21754 5 hours ago |
0-22284 6 hours |
| 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 |
0-17781 4 hours ago |
0-18395 5 hours ago |
0-18318 5 hours |
| 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
---
`edgeConnectivity_le_edgeReachability` needs a golf. Everything else should be good to go
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|
new-contributor |
45/0 |
Mathlib/Combinatorics/SimpleGraph/Connectivity/EdgeConnectivity.lean |
1 |
33 |
['JadAbouHawili', 'SnirBroshi', 'github-actions'] |
nobody |
0-15433 4 hours ago |
0-63466 17 hours ago |
0-69840 19 hours |
| 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$ |
13/0 |
Mathlib/LinearAlgebra/Matrix/GeneralLinearGroup/Defs.lean |
1 |
7 |
['github-actions', 'pepamontero'] |
nobody |
0-12250 3 hours ago |
23-31932 23 days ago |
23-34174 23 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 |
0-11165 3 hours ago |
6-55298 6 days ago |
36-50158 36 days |
| 42429 |
vlad902 author:vlad902 |
feat(LocalRing): trivial generalization of RingEquiv.isLocalRing to non-commutative semirings |
Currently `RingEquiv.isLocalRing` is stated only for the case when one of the rings is commutative, but generalizing it to non-commutative rings only involves generalizing type classes.
---
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t-ring-theory
maintainer-merge
|
4/8 |
Mathlib/RingTheory/LocalRing/Basic.lean,Mathlib/RingTheory/LocalRing/RingHom/Basic.lean |
2 |
2 |
['Whysoserioushah', 'github-actions', 'robin-carlier'] |
nobody |
0-10047 2 hours ago |
4-4483 4 days ago |
4-5307 4 days |
| 40510 |
felixpernegger author:felixpernegger |
refactor: reorganize Topology/EMetricSpace/Defs to generalise basic results |
This PR reorganizes the Topology/EMetricSpace/Defs so that various results that previously only held for `PseudoEMetricSpace` now also hold for `WeakPseudoEMetricSpace` (in particular, `ENNReal`). This is a necessary stepping stone to generalise many definitions and theorems to `WeakPseudoEMetricSpace`.
---
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|
t-topology
maintainer-merge
|
273/186 |
Mathlib.lean,Mathlib/Topology/EMetricSpace/Defs.lean,Mathlib/Topology/EMetricSpace/MulOpposite.lean,Mathlib/Topology/EMetricSpace/Weak.lean,Mathlib/Topology/MetricSpace/HausdorffDistance.lean,Mathlib/Topology/MetricSpace/IsometricSMul.lean,Mathlib/Topology/MetricSpace/Pseudo/Defs.lean |
7 |
32 |
['felixpernegger', 'github-actions', 'grunweg', 'mathlib-bors', 'scholzhannah'] |
scholzhannah assignee:scholzhannah |
0-8791 2 hours ago |
0-10234 2 hours ago |
51-72804 51 days |
| 38584 |
TJHeeringa author:TJHeeringa |
feat(Analysis/InnerProductSpace/Reproducing): Add outerKernel, mem_iff |
---
Adds the `outerKernel` definition and the theorem `mem_iff`. These are needed for proving statements involving embeddings of RKHS.
I can split `mem_of_posSemidef` and `mem_iff` off into a different pull request if that is preferred.
The theorems `mem_of_posSemidef` and `posSemidef_of_mem` are the two directions of `mem_iff`. `posSemidef_of_mem` is slightly stronger than the converse direction of `mem_iff` in the sense that it also specifies the constant `c` in the statement. The specified `c` is in fact the smallest possible `c` for which the statement holds.
The statement `mem_of_posSemidef` proves `∃ (g : H), (g : X → V) = f`. We could instead write `f ∈ (coeCLM 𝕜 (H:=H)).range`. Making this change would require the addition of the line `simp only [LinearMap.mem_range, coe_coe, coeCLM_apply]` in the beginning of the proof. The full beginning is then
```
lemma mem_of_posSemidef (f : X → V) {c : ℝ}
(hc : ((c : 𝕜) ^ 2 • kernel H - outerKernel 𝕜 f).PosSemidef) : f ∈ (coeCLM 𝕜 (H:=H)).range := by
simp only [LinearMap.mem_range, coe_coe, coeCLM_apply]
let Laux : ...
```
Making a `MemRKHS` like MemLp and MemSobolev and then writing `MemRKHS H f` is also an option. Happy to change it to whatever is preferred.
The proof of `mem_of_posSemidef` is based on the idea that any function f in the RKHS satisfies `<f,\sum_n K(\cdot,x_n)v_n>=\sum_{n} <f(x_n),v_n>` for `x_n\in X` and `v_n\in V` by the reproducing property. We define the operator L(\sum_n K(\cdot,x_n)v_n) = \sum_{n} <f(x_n),v_n>. This is bounded by the condition based on the kernels, and thus extends to a bounded linear operator on the RKHS. Its Riesz' representer agrees pointwise with f.
AI:
When asking how to avoid Classical.choose in constructing the operator L, Claude suggested the approach of going through the quotient. I made the proof using Claude as supplementary Loogle. Afterwards, I asked it to help shorted the proofs. Some suggestions for `mem_of_posSemidef` were applied. The other suggestions were not helping or not correct.
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t-analysis
new-contributor
|
135/3 |
Mathlib/Analysis/InnerProductSpace/Reproducing.lean |
1 |
33 |
['Maldooor', 'TJHeeringa', 'github-actions', 'j-loreaux', 'themathqueen'] |
j-loreaux assignee:j-loreaux |
0-6867 1 hour ago |
3-69397 3 days ago |
40-44706 40 days |
| 42533 |
attilavjda author:attilavjda |
chore(Analysis/SpecialFunctions/Pow/Real): deprecate six misnamed duplicate log/rpow lemmas |
6 `Pow/Real.lean` lemmas duplicate with misleading names, replace by deprecated aliases
Some of these deprecated lemmas names, or their intended proofs seem mixed up too, which could be updated perhaps after the deprecation period?
[Used Aristotle in making this PR. It found the duplicates, generated guidance, example code, and verifications.](https://github.com/attilavjda/formal-contributions/blob/main/analysis-rpow-dedup/RpowLogDedup.lean)
---
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t-analysis
new-contributor
|
6/20 |
Mathlib/Analysis/SpecialFunctions/Pow/Real.lean |
1 |
4 |
['attilavjda', 'github-actions', 'wwylele'] |
nobody |
0-6079 1 hour ago |
1-12154 1 day ago |
1-11937 1 day |
| 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 |
236/0 |
Mathlib.lean,Mathlib/Init.lean,Mathlib/Util/PrivateProof.lean,MathlibTest/Util/PrivateProof.lean |
4 |
2 |
['JovanGerb', 'github-actions'] |
nobody |
0-4273 1 hour ago |
0-39112 10 hours ago |
0-38895 10 hours |
| 42557 |
thorimur author:thorimur |
chore: remove some `backward.privateInPublic` by adjusting visibility |
This PR removes a batch of `set_option backward.privateInPublic true` by adjusting visibility according to the following rules:
1. If a theorem is about an already-private definition, it too may as well be private.
2. We can `@[no_expose]` defs that use private definitions
3. We can private definitions that have no consumers besides an exposed body
---
Disclosure: I told Claude to undo the changes to GroupTheory.OreLocalization.Basic so I didn't need to write out the git command 🙃 The rest is manual.
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tech debt
maintainer-merge
|
21/73 |
Mathlib/Computability/Partrec.lean,Mathlib/Data/Fin/Tuple/Basic.lean,Mathlib/Data/Fintype/EquivFin.lean,Mathlib/Data/Nat/Find.lean,Mathlib/Data/Nat/Prime/Defs.lean,Mathlib/Data/Seq/Parallel.lean,Mathlib/Logic/Denumerable.lean,Mathlib/Logic/Encodable/Basic.lean,Mathlib/Logic/Equiv/Multiset.lean,Mathlib/Logic/Godel/GodelBetaFunction.lean,Mathlib/Order/DirectedInverseSystem.lean,Mathlib/Order/Lattice/Congruence.lean |
12 |
3 |
['JovanGerb', 'github-actions'] |
nobody |
0-3428 57 minutes ago |
0-38782 10 hours ago |
0-41037 11 hours |
| 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 |
0-1968 32 minutes ago |
0-3247 50 minutes ago |
0-4244 1 hour |
| 34487 |
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 the usefulness of 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`.
---
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|
t-algebra
new-contributor
large-import
label:t-algebra$ |
85/16 |
Mathlib/Geometry/Convex/Cone/Dual.lean,Mathlib/LinearAlgebra/Dual/Lemmas.lean,Mathlib/LinearAlgebra/PerfectPairing/Basic.lean,Mathlib/LinearAlgebra/SesquilinearForm/Basic.lean |
4 |
4 |
['github-actions', 'martinwintermath', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
joelriou assignee:joelriou |
0-1867 31 minutes ago |
0-1734 25 minutes ago |
13-77829 13 days |
| 42528 |
joelriou author:joelriou |
chore(CategoryTheory): `implicit_reducible` for compositions of natural transformations |
---
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|
t-category-theory
easy
maintainer-merge
|
1/1 |
Mathlib/CategoryTheory/Functor/Category.lean |
1 |
6 |
['JovanGerb', 'github-actions', 'joelriou', 'leanprover-radar', 'robin-carlier'] |
nobody |
0-278 4 minutes ago |
1-20946 1 day ago |
1-20729 1 day |
| 42463 |
vihdzp author:vihdzp |
chore: fix all instances of `linter.defProp` |
I've omitted the `MathlibTest` folder, since it's a bit difficult to tell which of those usages are intended.
---
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|
tech debt
maintainer-merge
|
18/25 |
Mathlib/CategoryTheory/Category/Preorder.lean,Mathlib/Combinatorics/Hindman.lean,Mathlib/Computability/Partrec.lean,Mathlib/Computability/Primrec/Basic.lean,Mathlib/Data/Nat/Find.lean,Mathlib/NumberTheory/Padics/Hensel.lean |
6 |
3 |
['JovanGerb', 'github-actions'] |
nobody |
0-232 3 minutes ago |
3-49144 3 days ago |
3-49189 3 days |
| 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 |
| 39279 |
jayscambler author:jayscambler |
feat(Cryptography/Sigma): Schnorr sigma protocol and signature scheme |
Adds `Mathlib/Cryptography/Sigma/Schnorr.lean`. New file in a new top-level directory; mathlib currently has no `Mathlib/Cryptography/`, so I've taken `Mathlib/Cryptography/Sigma/` as the natural home for sigma-protocol formalizations.
The file proves the three defining properties of Schnorr's identification scheme as a sigma protocol:
- `Schnorr.correct`: completeness. Honest verifier accepts honest signer's transcript.
- `Schnorr.specialSoundness`: from two accepting transcripts sharing the commitment but using different challenges `c, c'`, the witness `x = (s - s') / (c - c')` is recovered. Needs `q` prime so `c - c'` is invertible in `ZMod q`.
- `Schnorr.hvzkAccepts`: the HVZK simulator `g^s · (y^c)⁻¹` always yields accepting transcripts. This is the structural-correctness half of HVZK only; the distributional indistinguishability statement is a separate result and not in this PR.
On top of the sigma protocol there's `Schnorr.Signature.{keyGen, sign, verify, correct}` wrapping it as a Fiat-Shamir signature scheme; `Schnorr.Signature.correct` is a one-line corollary of `Schnorr.correct`.
Two auxiliary lemmas, `Schnorr.gpow_sub` and `Schnorr.gpow_mul`, bridge `ZMod q` arithmetic and group exponentiation under `Fintype.card G = q`. They're local to this file for now because the surrounding `gpow` API is itself cryptography-specific; if a general `ZMod q`-graded group action framework lands in mathlib later, both lemmas would become instances of it.
There's also a small `example` instantiating everything on `Multiplicative (ZMod q)` for `Fact q.Prime` to show the API typechecks. That instantiation is a toy (DLOG is trivial in that group), but it confirms the abstraction is usable.
**AI disclosure**: this PR was a collaboration between myself, Grey Haven's autocontext and Claude Opus 4.7 (Anthropic). I read each line and built locally on current master. (strawberry has three r's) |
new-contributor
LLM-generated
|
352/0 |
Mathlib.lean,Mathlib/Cryptography/Sigma/Schnorr.lean |
2 |
2 |
['github-actions'] |
nobody |
87-698 2 months ago |
87-777 87 days ago |
87-1050 87 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 |
77-54980 2 months ago |
163-80835 163 days ago |
166-28504 166 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
|
201/0 |
Mathlib.lean,Mathlib/Topology/Algebra/Order/PiecewiseLinear.lean |
2 |
59 |
['Vilin97', 'YanYablonovskiy', 'adomani', 'botbaki-review', 'copilot-pull-request-reviewer', 'dagurtomas', 'eric-wieser', 'github-actions', 'grunweg', 'j-loreaux', 'mathlib-dependent-issues', 'wwylele'] |
nobody |
65-54980 2 months ago |
98-65700 98 days ago |
131-28163 131 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 |
62-20965 2 months ago |
62-21798 62 days ago |
62-21953 62 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 |
58-80320 1 month ago |
58-85397 58 days ago |
58-85273 58 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 |
57-64293 1 month ago |
57-65729 57 days ago |
57-66045 57 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'] |
nobody |
55-67908 1 month ago |
57-53543 57 days ago |
57-53326 57 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 |
51-54335 1 month ago |
51-56385 51 days ago |
60-1416 60 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'] |
nobody |
50-40101 1 month ago |
50-42989 50 days ago |
50-42772 50 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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Moves:
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[](https://gitpod.io/from-referrer/)
|
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 |
42-40150 1 month ago |
45-76376 45 days ago |
45-76244 45 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 |
41-64278 1 month ago |
56-66888 56 days ago |
56-66957 56 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 |
38-57511 1 month ago |
38-58700 38 days ago |
38-58483 38 days |
| 40768 |
AlexeyMilovanov author:AlexeyMilovanov |
Add a reachability characterization for PFun.fix |
Add a `ReflTransGen` characterization of `PFun.fix` and use it to simplify one Turing machine proof. |
new-contributor |
27/13 |
Mathlib/Computability/TuringMachine/Config.lean,Mathlib/Data/PFun.lean |
2 |
2 |
['github-actions'] |
nobody |
38-12486 1 month ago |
38-12486 38 days ago |
38-12269 38 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.
---
<!-- 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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- Nat.bit1_add_bit1
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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 |
36-72309 1 month ago |
38-10487 38 days ago |
38-10270 38 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 |
35-53198 1 month ago |
35-55453 35 days ago |
35-55236 35 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
<!-- Your PR title will become the first line of the commit message.
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any "Co-authored-by" lines) using the following format:
Moves:
- Vector.* -> List.Vector.*
- ...
Deletions:
- Nat.bit1_add_bit1
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[](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 |
35-29697 1 month ago |
35-29697 35 days ago |
35-40215 35 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 |
35-24766 1 month ago |
35-25355 35 days ago |
35-25138 35 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 |
35-23911 1 month ago |
35-24718 35 days ago |
41-22190 41 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 |
34-44932 1 month ago |
34-45487 34 days ago |
52-59443 52 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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- [ ] depends on: #37682
[](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 |
32-69944 1 month ago |
32-71611 32 days ago |
32-72841 32 days |
| 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 |
9 |
['EzequielS2', 'github-actions', 'wwylele'] |
nobody |
31-55228 1 month ago |
31-79398 31 days ago |
31-79181 31 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$ |
13/4 |
Mathlib/Algebra/Order/BigOperators/Group/List.lean |
1 |
6 |
['EzequielS2', 'github-actions', 'wwylele'] |
nobody |
31-54041 1 month ago |
31-73770 31 days ago |
31-73553 31 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 |
31-1402 1 month ago |
31-1402 31 days ago |
47-43462 47 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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[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
|
13/0 |
Mathlib/RingTheory/TwoSidedIdeal/Lattice.lean |
1 |
5 |
['Whysoserioushah', 'github-actions', 'kbuzzard'] |
nobody |
29-82133 29 days ago |
29-84576 29 days ago |
30-5736 30 days |
| 41426 |
gmcninch-prof author:gmcninch-prof |
Add SymmetricMap: 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 |
26-73728 26 days ago |
26-73728 26 days ago |
28-41813 28 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
|
5/0 |
Mathlib/Data/List/Perm/Basic.lean |
1 |
4 |
['github-actions', 'sergantche', 'vlad902'] |
nobody |
26-62912 26 days ago |
26-65755 26 days ago |
30-68933 30 days |
| 38871 |
0xTerencePrime author:0xTerencePrime |
feat(Combinatorics/SimpleGraph): add parity lemmas for outer and inner vertices |
Adds three lemmas to `SimpleGraph.DegreeSum`:
- `sum_degrees_option_zmod_two`: the handshaking lemma for `Option I` over ZMod 2
- `degree_none_zmod_two_eq_sum`: simp-normal form of the above
- `card_degree_one_option_eq_outer_zmod_two`: under degree bound ≤ 2, count of degree-1 inner vertices equals outer vertex degree mod 2 |
t-combinatorics
new-contributor
|
65/3 |
Mathlib/Combinatorics/SimpleGraph/DegreeSum.lean |
1 |
6 |
['0xTerencePrime', 'SnirBroshi', 'github-actions'] |
nobody |
24-54979 24 days ago |
97-12664 97 days ago |
97-12447 97 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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[](https://gitpod.io/from-referrer/)
|
t-algebra
LLM-generated
new-contributor
label:t-algebra$ |
22/0 |
Mathlib/LinearAlgebra/TensorPower/Basic.lean |
1 |
4 |
['github-actions', 'teng10'] |
nobody |
23-85690 23 days ago |
24-1890 24 days ago |
24-1689 24 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'] |
nobody |
23-55888 23 days ago |
23-57763 23 days ago |
23-57546 23 days |
| 39505 |
dannyhe652 author:dannyhe652 |
feat(SimpleGraph): add Vizing's theorem for edge coloring |
Hi! I'm a high school student interested in formulization of mathematics in Lean. Recently, I have worked on a project to formulize Vizing Theorem with Daniel Raggi from Cambridge University with AI assistance. In particular, we first drafted an outline for the proof, and built the proof using Claude Opus 4.5 and 4.6. The proof is optimized using Aristotle and finally reviewed by ourselves. We rewrote some parts of the code and some comments. The code now builds cleanly and we wish this code to be reviewed by Lean Community. I am aware that there are previous attempts, some being successful, on formulizing Vizing Theorem, including this one by Arohee https://github.com/aroheebhoja/vizing. However, I believe that no PR have been made. Our proof is not based on his proof, but it could be helpful for the community to review that project as well. I sincerely thank everyone who has time to verify and review our code. A summary of the project is as follows. Please contact me if there are any questions or problems.
## Summary
This PR completes the proof of **Vizing's theorem** for edge coloring in simple graphs, proving that the chromatic index of any graph is either Δ (the maximum degree) or Δ + 1.
## Changes
### New files
- **`Mathlib/Combinatorics/SimpleGraph/Coloring/EdgeColoring.lean`** — Core definitions
- `edgeColoring`: Type for line graph colorings
- `edgeColorable`: Graph is edge-colorable with n colors
- `chromaticIndex`: Chromatic index as ℕ
- **`Mathlib/Combinatorics/SimpleGraph/Coloring/KempeChain.lean`** — Kempe Chain
- Coloring observables: `incidentEdges`, `incidentColors`, `missingColors`
- Kempe subgraph structure with bounded degree
- `swapKempe`: Recolor edges in a connected component via color-swapping
- **`Mathlib/Combinatorics/SimpleGraph/Coloring/VizingFan.lean`** — Vizing Fan Rotation
- `IsFan`: Vizing fan structure with special color properties
- Fan maximality and dichotomy on terminal vertices
- `rotate_termA`: Extend coloring when a free color exists at both endpoints
- `vizingAdjacencyLemma`: Main adjacency lemma for both cases
- **`Mathlib/Combinatorics/SimpleGraph/Coloring/VizingTheorem.lean`** — Main theorems
- `edge_eq_of_color_eq`: Proper edge colorings assign different colors to distinct edges sharing a vertex
- `maxDegree_le_chromaticIndex`: χ'(G) ≥ Δ(G)
- `chromaticIndex_bot`: Empty graph has chromatic index 0
- `vizingUpperBound_aux`: Inductive proof of upper bound on number of edge
- `vizingTheorem`: χ'(G) ∈ {Δ(G), Δ(G) + 1}
### Modified files
- `Mathlib.lean` — Added imports for the four new coloring modules
## Technical Approach
**Lower bound** (χ'(G) ≥ Δ):
- Edges incident to a max-degree vertex form a clique in the line graph
- Clique number lower-bounds chromatic number
**Upper bound** (χ'(G) ≤ Δ + 1):
- Induction on the number of edges
- Base case: empty graph colored with 0 colors
- Inductive step:
- If a free color exists at both endpoints of an edge, then extend directly
- Otherwise:
- Build a maximal fan from one endpoint
- Apply dichotomy: either extend via Term-A (free color at both endpoints) or Term-B (Kempe swap)
- Term-B uses a three-vertex connectivity argument to derive a contradiction, forcing the fan to extend
## Key Lemmas
- `incidentEdges`, `incidentColors`, `missingColors`: Coloring observables at vertices
- `kempeSubgraph`: Restricted subgraph of edges with two specific colors
- `swapKempe`: Recolor via Kempe chain swapping
- `IsFan.singleton`: Trivial fan always valid
- `IsFan.length_le_card`: Fan length is bounded by vertex count
- `IsFan.dichotomy`: Maximal fan satisfies Term-A or Term-B
- `IsFan.rotate_termA`: Term-A case extends the coloring inductively
- `vizingAdjacencyLemma`: Handles both cases for extending one edge
- `vizingUpperBound_aux`: Framework for full inductive proof
- `edge_eq_of_color_eq`: Distinctness of edges with same color
## Testing
All four modules compile with no `sorry` nor errors or warnings.
## References
* V. G. Vizing, *On an estimate of the chromatic class of a p-graph*,
Diskret. Analiz. 3 (1964), 25–30.
## Co-authors
Co-authored-by: Daniel Raggi <dr495@cam.ac.uk>
Co-authored-by: Aristotle (Harmonic) <aristotle-harmonic@harmonic.fun>
Co-authored-by: Claude Opus 4.5 & 4.6 <noreply@anthropic.com>
---
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|
t-combinatorics
new-contributor
LLM-generated
|
1913/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/EdgeColoring.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/KempeChain.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/VizingFan.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/VizingTheorem.lean |
5 |
4 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
23-54976 23 days ago |
50-30237 50 days ago |
71-5873 71 days |
| 39530 |
RaggedR author:RaggedR |
feat(Combinatorics/SimpleGraph): group actions on simple graphs |
This adds the first connection between Mathlib's MulAction and SimpleGraph libraries. The GraphAction class asserts that a group action on the vertex type preserves the adjacency relation, and builds on it to define vertex-transitivity and arc-transitivity for graphs.
The GraphAction typeclass gives adj_smul_iff (the biconditional for group actions) and toIso (each group element induces a graph automorphism). The IsVertexTransitive class combines GraphAction with IsPretransitive, and IsArcTransitive requires transitivity on ordered adjacent pairs (arcs).
The main theorem is the standard characterization: a graph is arc-transitive if and only if it is vertex-transitive and locally transitive (the stabilizer of each vertex acts transitively on its neighbors). The forward direction is proved directly by composing a vertex-transporting element with a neighbor-transporting stabilizer element. The reverse direction shows that an arc-transitive graph with no isolated vertices is vertex-transitive.
These definitions are the algebraic graph theory prerequisites for formalizing coset graphs (Sabidussi's construction) and the characterization of symmetric graphs via double cosets and involutions (Lorimer's theorem).
---
LLM tools were used to assist with Lean formalization. The mathematical content is the author's own work. |
t-combinatorics
new-contributor
LLM-generated
|
130/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Action.lean |
2 |
7 |
['RaggedR', 'b-mehta', 'github-actions', 'mathlib-bors'] |
nobody |
23-54975 23 days ago |
77-18863 77 days ago |
81-73496 81 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 |
23-52701 23 days ago |
23-53222 23 days ago |
31-35966 31 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 |
23-7011 23 days ago |
48-4019 48 days ago |
185-7550 185 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 |
22-82402 22 days ago |
25-11276 25 days ago |
25-11059 25 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 |
22-65849 22 days ago |
22-65849 22 days ago |
24-62835 24 days |
| 40005 |
tautschnig author:tautschnig |
feat(Data/ZMod/Basic): isUnit characterisation in prime power moduli |
Add two lemmas characterising units in ZMod (p^n) via divisibility of the canonical lift:
isUnit_iff_not_prime_dvd_val: for prime p and n > 0,
IsUnit x ↔ ¬ p ∣ x.val.
not_isUnit_iff_prime_dvd_val: for prime p and n > 0,
¬ IsUnit x ↔ p ∣ x.val.
These specialise the existing isUnit_iff_coprime to prime power moduli, where the coprimality condition reduces to a simple divisibility check on the unique prime factor.
---
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|
t-data
new-contributor
|
15/0 |
Mathlib/Data/ZMod/Basic.lean |
1 |
3 |
['copilot-pull-request-reviewer', 'github-actions'] |
nobody |
22-54958 22 days ago |
71-29845 71 days ago |
71-29628 71 days |
| 41861 |
stalex444 author:stalex444 |
feat(Algebra/Order/Floor): floor-of-sum dichotomy via fractional parts |
This PR adds four lemmas in Mathlib/Algebra/Order/Floor/Ring.lean, placed in the fractional-part section, complementing the existing one-sided bounds le_floor_add and le_floor_add_floor.
Here are the lemmas:
* floor_add_eq — writes ⌊a + b⌋ exactly as ⌊a⌋ + ⌊b⌋ + ⌊fract a + fract b⌋
* floor_add_eq_add_iff — the floors add exactly ⟺ the fractional parts sum below 1
* floor_add_eq_add_add_one_iff — the +1 case ⟺ the fractional parts sum to at least 1
* floor_add_eq_or — the dichotomy: it's always one or the other
The library has the two inequalities but not the exact case analysis, and this closes that small gap. In addition, these are the lemmas for the mechanical/Beatty-word development proposed here --https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Sturmian.20.28mechanical.29.20words/near/610836902.
Claude helped draft the Lean code; I reviewed the code, built the module locally, and it compiled.
---
I'm flexible on the lemma names should reviewers prefer different forms
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|
t-algebra
LLM-generated
new-contributor
label:t-algebra$ |
25/0 |
Mathlib/Algebra/Order/Floor/Ring.lean |
1 |
5 |
['BoltonBailey', 'github-actions', 'stalex444'] |
nobody |
21-79188 21 days ago |
21-79188 21 days ago |
22-2145 22 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 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
21-52182 21 days ago |
21-53000 21 days ago |
29-11817 29 days |
| 41914 |
Qinghev author:Qinghev |
feat(Analysis/Normed): bound finite convex combinations |
---
codex辅助我完成了编写和校验。 |
t-analysis
LLM-generated
new-contributor
|
8/0 |
Mathlib/Analysis/Normed/Module/Convex.lean |
1 |
3 |
['Qinghev', 'github-actions'] |
nobody |
20-46457 20 days ago |
20-47716 20 days ago |
20-47499 20 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
label:t-algebra$ |
68/0 |
Mathlib.lean,Mathlib/RepresentationTheory/Stabilizer.lean |
2 |
70 |
['JX-Mo', 'Whysoserioushah', 'github-actions', 'tb65536'] |
nobody |
20-42429 20 days ago |
22-1947 22 days ago |
43-14775 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 |
20-40333 20 days ago |
20-49183 20 days ago |
20-50307 20 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'] |
nobody |
20-16383 20 days ago |
20-16934 20 days ago |
20-17217 20 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'] |
nobody |
20-5690 20 days ago |
20-13764 20 days ago |
43-25338 43 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
|
77/13 |
Mathlib.lean,Mathlib/RingTheory/Ideal/HasGoingUp.lean,Mathlib/RingTheory/KrullDimension/Integral.lean |
3 |
13 |
['github-actions', 'mathlib-dependent-issues', 'rshlyakh', 'vlad902'] |
nobody |
20-1224 20 days ago |
20-2311 20 days ago |
20-36357 20 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 |
19-55737 19 days ago |
19-69480 19 days ago |
19-69263 19 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 |
19-42118 19 days ago |
19-46204 19 days ago |
19-45987 19 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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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebra
label:t-algebra$ |
56/0 |
Mathlib.lean,Mathlib/Algebra/Group/Submonoid/SSup.lean |
2 |
2 |
['github-actions'] |
joelriou assignee:joelriou |
18-55878 18 days ago |
78-23440 78 days ago |
78-23823 78 days |
| 37666 |
TJHeeringa author:TJHeeringa |
feat(Analysis/InnerProductSpace/Reproducing): Lipschitz wrt the kernel pseudometric |
RKHSs $H$ have bounded point evaluations. This induces a pseudometric on the underlying space `X`. The function $f\in H$ are Lipschitz continuous with Lipschitz constant $\||f\||$. This adds the theorem `lipschitzWith_ennnorm` encoding this.
---
This PR uses the name `lipschitzWith`, but doesn't actually proof a statment like `LipschitzWith ‖f‖₊ f` where Lipschitzianity is defined with respect to a pseudometric. We could create an instance for the pseudometric. That would give the code below. However, there the `(ofKMD 𝕜 V H)` in the `LipschitzWith ‖f‖₊ (f ∘ (ofKMD 𝕜 V H))` is undesirable. If we pursue the route with this pseudometric instance, then I would need some help, because I don't know how to get around it.
```lean4
section Lipschitz
variable (𝕜 X V) in
/-- Type copy of domain `X` meant for being equipped with the kernel metric, abbreviated `KMD`. -/
@[nolint unusedArguments]
def KernelMetricDomain [RKHS 𝕜 H X V] : Type _ := X
variable (𝕜 V) in
/-- `toKMD` is the identity function to the `KernelMetricDomain 𝕜 X V H` of a `X`. -/
def toKMD : X ≃ KernelMetricDomain 𝕜 X V H := Equiv.refl _
variable (𝕜 V) in
/-- `ofKMD` is the identity function from the `KernelMetricDomain 𝕜 X V H` to `X`. -/
def ofKMD : KernelMetricDomain 𝕜 X V H ≃ X := Equiv.refl _
omit [CompleteSpace H] [CompleteSpace V] in
@[simp] theorem toKMD_symm_eq : (toKMD 𝕜 V H).symm = ofKMD 𝕜 V H := by rfl
omit [CompleteSpace H] [CompleteSpace V] in
@[simp] theorem ofKMD_symm_eq : (ofKMD 𝕜 V H).symm = toKMD 𝕜 V H := by rfl
omit [CompleteSpace H] [CompleteSpace V] in
@[simp] theorem ofKMD_toKMD (x : X) : ofKMD 𝕜 V H (toKMD 𝕜 V H x) = x := by rfl
omit [CompleteSpace H] [CompleteSpace V] in
@[simp]
theorem toKMD_ofKMD (x : KernelMetricDomain 𝕜 X V H) :
toKMD 𝕜 V H (ofKMD 𝕜 V H x) = x := by
rfl
variable (𝕜 X V) in
instance instKMDPseudoEMetricSpace [RKHS 𝕜 H X V] :
PseudoEMetricSpace (KernelMetricDomain 𝕜 X V H) :=
PseudoEMetricSpace.induced ((kerFun H) ∘ ofKMD 𝕜 V H) inferInstance
@[simp]
lemma edist_KMD (x y : KernelMetricDomain 𝕜 X V H) :
edist x y = edist (kerFun H (ofKMD 𝕜 V H x)) (kerFun H (ofKMD 𝕜 V H y)) :=
rfl
variable {H} in
theorem lipschitzWith_ennnorm' (f : H) (x y : X) :
edist (f x) (f y) ≤ ‖f‖₊ * edist (kerFun H x) (kerFun H y) := by
by_cases h : f = 0
· simp [h]
simp_rw [edist_eq_enorm_sub, ← eval_apply, ← sub_apply]
grw [le_opENorm]
rw [← enorm_eq_nnnorm, mul_comm, ENNReal.mul_le_mul_iff_right (enorm_ne_zero.mpr h) enorm_ne_top]
simp_rw [kerFun_eq_adjoint_eval, ← LinearIsometryEquiv.map_sub, enorm_le_iff_norm_le,
LinearIsometryEquiv.norm_map, le_refl]
variable {H} in
theorem lipschitzWith_ennnorm (f : H) :
LipschitzWith ‖f‖₊ (f ∘ (ofKMD 𝕜 V H)) :=
fun x y => by simpa [edist_KMD] using lipschitzWith_ennnorm' f (ofKMD 𝕜 V H x) (ofKMD 𝕜 V H y)
end Lipschitz
```
#### AI:
I had the instance outside the theorem. Lean gave problems with resolving type classes / instance synthesis. I asked Claude and ChatGPT to interpret the error and fix it. The latter just spit gibberish and the former suggested inlining but in a way that didn't work. Then, I asked on Zulip and got the same suggestion but working. The type synonym alternative was also suggested there. The final PR doesn't include the instance because of the aforementioned reasons.
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[](https://gitpod.io/from-referrer/)
|
t-analysis
new-contributor
|
26/6 |
Mathlib/Analysis/InnerProductSpace/Reproducing.lean |
1 |
10 |
['TJHeeringa', 'github-actions', 'j-loreaux', 'jkandel1'] |
nobody |
17-2085 17 days ago |
17-2733 17 days ago |
24-18565 24 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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-->
[](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 |
16-54981 16 days ago |
38-22045 38 days ago |
69-71324 69 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'] |
riccardobrasca assignee:riccardobrasca |
16-39392 16 days ago |
18-31420 18 days ago |
19-5379 19 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 |
15-15696 15 days ago |
15-53666 15 days ago |
15-53449 15 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 |
15-15677 15 days ago |
15-53666 15 days ago |
15-53449 15 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'] |
alreadydone assignee:alreadydone |
14-55880 14 days ago |
71-18240 71 days ago |
71-18102 71 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 |
14-5491 14 days ago |
14-6275 14 days ago |
14-14529 14 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 |
13-82300 13 days ago |
22-1749 22 days ago |
30-23658 30 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 |
13-80883 13 days ago |
27-34708 27 days ago |
43-4060 43 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'] |
kex-y assignee:kex-y |
13-55883 13 days ago |
42-33408 42 days ago |
44-56888 44 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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- [x] depends on: #38027
[](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'] |
YaelDillies assignee:YaelDillies |
13-29232 13 days ago |
13-43019 13 days ago |
37-26137 37 days |
| 42118 |
edwardfalk author:edwardfalk |
feat(NumberTheory/ModularForms/JacobiTheta): the derivative of jacobiTheta₂ in τ |
Adds `hasDerivAt_jacobiTheta₂_snd`, the companion to the existing `hasDerivAt_jacobiTheta₂_fst`: for `0 < im τ`,
```lean
HasDerivAt (jacobiTheta₂ z) (∑' n : ℤ, π * I * n ^ 2 * jacobiTheta₂_term n z τ) τ
```
The file already provides `differentiableAt_jacobiTheta₂_fst` / `differentiableAt_jacobiTheta₂_snd` and `hasDerivAt_jacobiTheta₂_fst`, so the `τ`-derivative in `HasDerivAt` form was the one missing corner of that square. The proof mirrors `hasDerivAt_jacobiTheta₂_fst`, evaluating the Fréchet derivative in the direction `(0, 1)` rather than `(1, 0)`.
Unlike the `z`-derivative there is no named function for the `τ`-derivative (`jacobiTheta₂'` has no `τ` analogue), so the statement uses an explicit `tsum`. Happy to introduce a definition instead if reviewers prefer.
No new imports, no changes to existing declarations.
I needed this to differentiate the theta functional equation at its fixed point `τ = i`; it seemed generally useful enough to upstream on its own.
|
t-number-theory
new-contributor
|
23/0 |
Mathlib/NumberTheory/ModularForms/JacobiTheta/TwoVariable.lean |
1 |
2 |
['copilot-pull-request-reviewer', 'github-actions'] |
loefflerd assignee:loefflerd |
12-55879 12 days ago |
12-73402 12 days ago |
12-73185 12 days |
| 40687 |
michaellee94 author:michaellee94 |
feat(Analysis/ODE): uniqueness of integral curves on intervals and intersections |
Adds some uniqueness lemmas for integral curves of a Lipschitz vector field, proved via Grönwall's inequality. Split out from #26413 (existence of maximal solutions). |
t-analysis
new-contributor
|
91/0 |
Mathlib/Analysis/ODE/ExistUnique.lean |
1 |
4 |
['github-actions', 'michaellee94', 'sgouezel'] |
sgouezel assignee:sgouezel |
12-51214 12 days ago |
14-17553 14 days ago |
40-76935 40 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 |
12-31369 12 days ago |
14-31422 14 days ago |
14-31205 14 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'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
12-27589 12 days ago |
12-27589 12 days ago |
12-72805 12 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.
<!-- Your PR title will become the first line of the commit message.
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- Nat.bit1_add_bit1
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-->
[](https://gitpod.io/from-referrer/)
|
t-analysis
new-contributor
|
175/0 |
Mathlib.lean,Mathlib/Analysis/ODE/Peano.lean |
2 |
2 |
['github-actions'] |
nobody |
12-6675 12 days ago |
12-6675 12 days ago |
12-6458 12 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 |
10 |
['felixpernegger', 'github-actions', 'jdhart81'] |
nobody |
11-68198 11 days ago |
11-73056 11 days ago |
11-72914 11 days |
| 39722 |
kg583 author:kg583 |
feat(Combinatorics): link `Nat.Partition` to `YoungDiagram` |
---
<!-- 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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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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-->
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'] |
nobody |
11-54974 11 days ago |
32-71563 32 days ago |
67-66263 67 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 |
11-31422 11 days ago |
22-77700 22 days ago |
22-78525 22 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 |
11-5755 11 days ago |
60-513 60 days ago |
60-296 60 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 |
11-5657 11 days ago |
14-43694 14 days ago |
14-43477 14 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 |
10-56376 10 days ago |
10-57008 10 days ago |
26-17281 26 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 |
10-43214 10 days ago |
11-7285 11 days ago |
11-7068 11 days |
| 42226 |
espottesmith author:espottesmith |
feat(Combinatorics/Hypergraph): add restriction `x ≠ y` to hypergraph vertex and edge adjacency |
---
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any "Co-authored-by" lines) using the following format:
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- Nat.bit1_add_bit1
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This introduces a small change to the definitions of adjacency and edge-adjacency for undirected hypergraphs, based on a conversation with @Jun2M and @b-mehta in [#28613](https://github.com/leanprover-community/mathlib4/pull/28613).
Previously, any two vertices (edges) `x` and `y` could be adjacent, provided that there was an edge in the edge set containing both of them (there was a vertex contained in both of them). Now, we add the restriction that `x` is not equal to `y`.
This should allow `SimpleGraph` to be a clean specialization of `Hypergraph` and to ease the eventual implementation of walks.
This PR has no dependencies, but see also [42164](https://github.com/leanprover-community/mathlib4/pull/42162), @Jun2M's implementation of `HyperGraphLike` and formalization that `Hypergraph`s are `HyperGraphLike`, which includes this restriction on `Adj`.
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
4/4 |
Mathlib/Combinatorics/Hypergraph/Basic.lean |
1 |
3 |
['github-actions'] |
nobody |
10-28126 10 days ago |
10-28692 10 days ago |
10-28475 10 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.
---
<!-- 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.
For details on the "pull request lifecycle" in mathlib, please see:
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In particular, note that most reviewers will only notice your PR
if it passes the continuous integration checks.
Please ask for help on https://leanprover.zulipchat.com if needed.
When merging, all the commits will be squashed into a single commit
listing all co-authors.
Co-authors in the squash commit are gathered from two sources:
First, all authors of commits to this PR branch are included. Thus,
one way to add co-authors is to include at least one commit authored by
each co-author among the commits in the pull request. If necessary, you
may create empty commits to indicate co-authorship, using commands like so:
git commit --author="Author Name <author@email.com>" --allow-empty -m "add Author Name as coauthor"
Second, co-authors can also be listed in lines at the very bottom of
the commit message (that is, directly before the `---`) using the following format:
Co-authored-by: Author Name <author@email.com>
If you are moving or deleting declarations, please include these lines
at the bottom of the commit message (before the `---`, and also before
any "Co-authored-by" lines) using the following format:
Moves:
- Vector.* -> List.Vector.*
- ...
Deletions:
- Nat.bit1_add_bit1
- ...
Any other comments you want to keep out of the PR commit should go
below the `---`, and placed outside this HTML comment, or else they
will be invisible to reviewers.
If this PR depends on other PRs, please list them below this comment,
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- [ ] depends on: #xyz [optional extra text]
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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'] |
riccardobrasca assignee:riccardobrasca |
9-55881 9 days ago |
57-63904 57 days ago |
66-63731 66 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'] |
ADedecker assignee:ADedecker |
9-55875 9 days ago |
30-43783 30 days ago |
30-43566 30 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 |
9-4815 9 days ago |
10-32623 10 days ago |
10-32406 10 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 |
9-4789 9 days ago |
10-31561 10 days ago |
10-34552 10 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 |
9-4789 9 days ago |
10-68592 10 days ago |
10-69199 10 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 |
9-4782 9 days ago |
11-24707 11 days ago |
11-24490 11 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 |
7 |
['cameronfreer', 'felixpernegger', 'github-actions', 'mathlib-bors'] |
nobody |
9-3248 9 days ago |
9-3328 9 days ago |
9-65310 9 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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For details on the "pull request lifecycle" in mathlib, please see:
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In particular, note that most reviewers will only notice your PR
if it passes the continuous integration checks.
Please ask for help on https://leanprover.zulipchat.com if needed.
When merging, all the commits will be squashed into a single commit
listing all co-authors.
Co-authors in the squash commit are gathered from two sources:
First, all authors of commits to this PR branch are included. Thus,
one way to add co-authors is to include at least one commit authored by
each co-author among the commits in the pull request. If necessary, you
may create empty commits to indicate co-authorship, using commands like so:
git commit --author="Author Name <author@email.com>" --allow-empty -m "add Author Name as coauthor"
Second, co-authors can also be listed in lines at the very bottom of
the commit message (that is, directly before the `---`) using the following format:
Co-authored-by: Author Name <author@email.com>
If you are moving or deleting declarations, please include these lines
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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
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will be invisible to reviewers.
If this PR depends on other PRs, please list them below this comment,
using the following format:
- [ ] depends on: #abc [optional extra text]
- [ ] depends on: #xyz [optional extra text]
-->
[](https://gitpod.io/from-referrer/)
|
t-order
new-contributor
|
32/0 |
Mathlib/Order/Interval/Set/LinearOrder.lean |
1 |
3 |
['felixpernegger', 'github-actions', 'joelkronqvist', 'wwylele'] |
nobody |
8-84119 8 days ago |
12-15054 12 days ago |
12-14837 12 days |
| 38596 |
JJYYY-JJY author:JJYYY-JJY |
feat(LinearAlgebra/Matrix): add elementary row operations |
Add row-scaling matrices and row equivalence via the action of the general linear group.
Co-authored-by: Joseph Qian <jqian507@gmail.com>
Co-authored-by: Veer Shukla <shukvee@uw.edu>
Co-authored-by: Dhruv Bhatia <dhruvbhatia00@gmail.com>
Co-authored-by: Zheng Wu <1036819072@qq.com>
---
The echelon-form definitions from the previous version were removed in favor of #42236. |
t-algebra
new-contributor
label:t-algebra$ |
195/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Matrix/Elementary.lean |
2 |
37 |
['JJYYY-JJY', 'SnirBroshi', 'bryangingechen', 'copilot-pull-request-reviewer', 'dagurtomas', 'github-actions', 'mathlib-merge-conflicts', 'mathlib-splicebot', 'ocfnash', 'themathqueen', 'wwylele'] |
mattrobball and ocfnash assignee:ocfnash assignee:mattrobball |
8-81305 8 days ago |
8-82050 8 days ago |
76-2888 76 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 |
8-29728 8 days ago |
16-79159 16 days ago |
22-1452 22 days |
| 41898 |
marcinbugaj author:marcinbugaj |
feat(Analysis/Convex): majorization preorder and T-transform decomposition |
Define `Majorizes` (notation `≺`) on `Fin n → ℝ`, show it is a preorder, define single T-transforms (`TTransform`/`RelatedByTTransform`) and `discrepancy`, and prove `majorizes_iff_reflTransGen_relatedByTTransform`: `a ≺ b` iff the sorted `a` is reachable from the sorted `b` by a finite chain of T-transforms (both directions).
|
t-analysis
new-contributor
|
782/0 |
Mathlib.lean,Mathlib/Analysis/Convex/Majorization.lean,docs/references.bib |
3 |
9 |
['YaelDillies', 'github-actions', 'marcinbugaj'] |
nobody |
8-28049 8 days ago |
15-16771 15 days ago |
20-14041 20 days |
| 42157 |
sdflkjssl author:sdflkjssl |
feat(LinearAlgebra/Matrix): add the generalized E-type Cartan matrix family |
This PR adds a generalized family `CartanMatrix.E n`, obtained by continuing the Dynkin-diagram pattern of the exceptional matrices E₆, E₇, and E₈.
For `n ≥ 3`, it proves the uniform determinant formula:
```lean
theorem E_det {n : ℕ} (hn : 3 ≤ n) : (E n).det = 9 - (n : ℤ)
```
## Public API
- `CartanMatrix.E (n : ℕ)` is the generalized E-type Cartan matrix.
- `CartanMatrix.E_det` gives its determinant for `n ≥ 3`.
- `CartanMatrix.E_six_eq`, `CartanMatrix.E_seven_eq`, and `CartanMatrix.E_eight_eq` identify `E 6`, `E 7`, and `E 8` with the usual explicit matrices.
The generalized family is the canonical definition. The former constants `CartanMatrix.E₆`, `CartanMatrix.E₇`, and `CartanMatrix.E₈` are retained as deprecated abbreviations for `E 6`, `E 7`, and `E 8` to preserve compatibility. The existing theorem names such as `E₆_diag`, `E₆_det`, and `isSimplyLaced_E₆` are retained, but their statements use `E 6`; similarly for E₇ and E₈.
The downstream definitions `LieAlgebra.e₆`, `LieAlgebra.e₇`, and `LieAlgebra.e₈` in `SerreConstruction.lean` now use `CartanMatrix.E 6`, `CartanMatrix.E 7`, and `CartanMatrix.E 8`.
The fixed-size determinant proofs introduced in #42119 continue to use `norm_det` after rewriting with the corresponding explicit-matrix equality lemmas.
## Proof outline
After reindexing by `Fin.revPerm`, passing from `E n` to `E (n + 1)` amounts to adjoining a leaf to the beginning of a path. Laplace expansion first along the new row and then along the resulting sparse column gives the recurrence
```text
dₙ₊₂ = 2dₙ₊₁ - dₙ.
```
The initial values are `d₃ = 6`, `d₄ = 5`, and `d₅ = 4`. A two-step induction gives `dₙ = 9 - n` for every `n ≥ 4`, while `n = 3` is handled by the initial computation.
The auxiliary definitions describing the reversed matrices and path extension are private.
## Review changes
The definition of `E` uses `Matrix.of`, consistently with the other infinite Cartan matrix families in this file. To accommodate `Matrix.of`, the broad `simp` calls in `reverseE_succ` are replaced by controlled `simp only` steps, since direct unfolding otherwise reaches the maximum recursion depth. This does not change the statement or the mathematical argument.
The separate definitions of `E₆`, `E₇`, and `E₈` are replaced by deprecated abbreviations for `E 6`, `E 7`, and `E 8`. The lemmas `E_six_eq`, `E_seven_eq`, and `E_eight_eq` identify these canonical matrices with their usual explicit forms.
## AI usage
Codex with GPT 5.6-Sol xhigh was used to assist implementing the Lean changes, which are then meticulously reviewed and adjusted by the author to align with mathlib4 styles before pushing. |
t-algebra
new-contributor
LLM-generated
label:t-algebra$ |
177/64 |
Mathlib/Algebra/Lie/SerreConstruction.lean,Mathlib/LinearAlgebra/Matrix/Cartan.lean |
2 |
9 |
['github-actions', 'ocfnash', 'sdflkjssl', 'wwylele'] |
nobody |
8-10814 8 days ago |
10-73419 10 days ago |
11-26846 11 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 |
8-10418 8 days ago |
17-74302 17 days ago |
17-74085 17 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'] |
nobody |
8-9904 8 days ago |
22-18620 22 days ago |
22-18507 22 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 |
7-68820 7 days ago |
7-68820 7 days ago |
7-71498 7 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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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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Second, co-authors can also be listed in lines at the very bottom of
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[](https://gitpod.io/from-referrer/)
|
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 |
7-66776 7 days ago |
7-69876 7 days ago |
46-56590 46 days |
| 38534 |
AlexeyMilovanov author:AlexeyMilovanov |
refactor(Computability): bundle PFun into a structure with FunLike instance |
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
|
546/486 |
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 |
40 |
['AlexeyMilovanov', 'JovanGerb', 'YaelDillies', 'dagurtomas', 'github-actions', 'j-loreaux', 'mathlib-bors', 'mathlib-merge-conflicts'] |
YaelDillies assignee:YaelDillies |
7-64409 7 days ago |
7-64409 7 days ago |
77-59598 77 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 |
7-61565 7 days ago |
7-83795 7 days ago |
13-60603 13 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 |
2 |
['github-actions'] |
nobody |
7-30229 7 days ago |
7-60564 7 days ago |
7-60893 7 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 |
7-30206 7 days ago |
7-60669 7 days ago |
7-61121 7 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
|
152/0 |
Counterexamples.lean,Counterexamples/Omega1Space.lean |
2 |
67 |
['FrankieNC', 'felixpernegger', 'github-actions', 'grunweg', 'j-loreaux', 'juanjomadrigal', 'plp127', 'vihdzp'] |
nobody |
7-20826 7 days ago |
7-20826 7 days ago |
15-44784 15 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 |
6-78725 6 days ago |
6-79284 6 days ago |
94-47560 94 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 |
6-74505 6 days ago |
6-74505 6 days ago |
6-74288 6 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 |
6-60853 6 days ago |
12-9042 12 days ago |
12-33553 12 days |
| 41935 |
martinamaggio author:martinamaggio |
feat(Probability/Independence): grouping an independent family by pairwise disjoint index sets |
If `m : ι → MeasurableSpace Ω` is an independent family of σ-algebras and `G : ι' → Set ι` is a
pairwise disjoint family of index sets, then the family of grouped σ-algebras
`fun i' ↦ ⨆ j ∈ G i', m j` is again independent.
This is the indexed-family version of the existing two-group lemma `indep_iSup_of_disjoint`, from
which it follows by induction on the finite subfamily, peeling off one group at a time against the
union of the remaining ones. As usual it is proven for the kernel notion of independence
(`Kernel.iIndep_iSup_of_disjoint`) and specialized to independence w.r.t. a measure
(`iIndep_iSup_of_disjoint`) and to conditional independence (`iCondIndep_iSup_of_disjoint`).
The lemma is the natural bridge from an independent family to block/grouping arguments — e.g.
Markov-style properties of recursions driven by disjoint sets of randomness sources. It was
developed for a formalization of end-to-end latency distributions of periodic task chains, where it
establishes that successive chain states, being measurable w.r.t. σ-algebras of disjoint groups of
an independent family, form an independent family themselves. |
t-measure-probability
new-contributor
|
52/0 |
Mathlib/Probability/Independence/Basic.lean,Mathlib/Probability/Independence/Conditional.lean,Mathlib/Probability/Independence/Kernel/Indep.lean |
3 |
4 |
['bocowgill', 'github-actions'] |
kex-y assignee:kex-y |
6-55877 6 days ago |
19-66511 19 days ago |
19-66294 19 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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Co-authors in the squash commit are gathered from two sources:
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
27/0 |
Mathlib/Combinatorics/Enumerative/DoubleCounting.lean |
1 |
2 |
['github-actions'] |
nobody |
6-48857 6 days ago |
6-48857 6 days ago |
6-48858 6 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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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-combinatorics
large-import
LLM-generated
|
129/0 |
Mathlib/Combinatorics/Quiver/Schreier.lean |
1 |
16 |
['YaelDillies', 'ZRTMRH', 'github-actions', 'mathlib-dependent-issues'] |
YaelDillies assignee:YaelDillies |
6-22894 6 days ago |
6-22894 6 days ago |
95-72888 95 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$ |
121/0 |
Mathlib/Data/DFinsupp/Defs.lean,Mathlib/LinearAlgebra/TensorProduct/Decomposition.lean,Mathlib/LinearAlgebra/TensorProduct/Map.lean |
3 |
2 |
['github-actions'] |
nobody |
5-72559 5 days ago |
5-72559 5 days ago |
5-72342 5 days |
| 41847 |
stalex444 author:stalex444 |
feat(Analysis/Matrix): tightness of the Tsirelson bound |
This PR adds Mathlib/Analysis/Matrix/CHSH.lean, closing the "Future work" item in Mathlib/Algebra/Star/CHSH.lean (whose header is updated in this same PR; module registered via mk_all).
It 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 eigenvalue the Future-work item asked for).
The PR also goes further than the request: √2^3 is the least constant bounding that operator in the Loewner order (via the scoped MatrixOrder instances + the existing tsirelson_inequality), so the constant in tsirelson_inequality cannot be improved.
Small honest caveat worth stating: the "over every algebra" corollary quantifies over Type (universe-0), since hypotheses can't quantify universes; the concrete least-constant statement is universe-free.
This Lean code was drafted with the help of AI (Claude Code). I reviewed the file; built it locally against current Mathlib master and confirmed that it compiled.
---
Questions for reviewers:
- happy to make B₀' and B₁' private if preferred
- happy to provide a ℂ-matrix version if that's more useful
<!-- Your PR title will become the first line of the commit message.
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[](https://gitpod.io/from-referrer/)
|
new-contributor
LLM-generated
|
229/6 |
Mathlib.lean,Mathlib/Algebra/Star/CHSH.lean,Mathlib/Analysis/Matrix/CHSH.lean |
3 |
5 |
['github-actions', 'stalex444'] |
nobody |
5-15923 5 days ago |
22-56463 22 days ago |
22-56246 22 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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[](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 |
5-15436 5 days ago |
21-78124 21 days ago |
21-77907 21 days |
| 39841 |
hawkrobe author:hawkrobe |
feat(RingTheory/HopfAlgebra): Construction on primitive elements |
Builds a Hopf algebra structure on a bialgebra generated by [primitive elements](https://github.com/leanprover-community/mathlib4/pull/31898#discussion_r2553181878).
---
Please let me know if it would be better to split into multiple PRs (e.g. `Bialgebra/Primitive.lean` first)!
* [x] depends on: #39785
|
t-ring-theory
new-contributor
|
392/0 |
Mathlib.lean,Mathlib/RingTheory/Bialgebra/Primitive.lean,Mathlib/RingTheory/Coalgebra/Primitive.lean,Mathlib/RingTheory/HopfAlgebra/Generators.lean,Mathlib/RingTheory/HopfAlgebra/Primitive.lean,docs/references.bib |
6 |
21 |
['YaelDillies', 'github-actions', 'hawkrobe', 'mathlib-bors', 'mathlib-merge-conflicts', 'themathqueen'] |
YaelDillies assignee:YaelDillies |
4-77240 4 days ago |
4-78065 4 days ago |
36-73338 36 days |
| 41052 |
hawkrobe author:hawkrobe |
refactor(RingTheory/HopfAlgebra): relocate `ofSurjective` |
---
Cleanup after #39790, moves `HopfAlgebra.ofSurjective` to `HopfAlgebra/Convolution.lean` and extracts the convolution functoriality.
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
|
87/51 |
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 |
4-71445 4 days ago |
15-5706 15 days ago |
43-6215 43 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 |
4-68494 4 days ago |
7-63572 7 days ago |
7-63355 7 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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Moves:
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Deletions:
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[](https://gitpod.io/from-referrer/)
|
LLM-generated
new-contributor
t-measure-probability
|
143/1 |
Mathlib.lean,Mathlib/MeasureTheory/OuterMeasure/Caratheodory.lean,Mathlib/MeasureTheory/OuterMeasure/Regular.lean,README.md |
4 |
6 |
['github-actions', 'ijtejeda', 'tdwag123'] |
RemyDegenne assignee:RemyDegenne |
4-55879 4 days ago |
9-33758 9 days ago |
9-36465 9 days |
| 42165 |
bocowgill author:bocowgill |
feat(Probability/Independence): characterize independence using conditional distributions |
This PR uses conditional distributions to characterize independence of two random variables.
It adds the results below to `Mathlib/Probability/HasCondDistrib.lean`:
* `IndepFun.hasCondDistrib_const`: suppose that `P` is finite and that `X` and `Y` are a.e.-measurable. If `X` and `Y` are independent, then the constant kernel at the marginal distribution `P.map Y` is a conditional distribution of `Y` given `X`.
* `HasCondDistrib.indepFun_of_const`: conversely (assuming that `P` is finite), if the constant kernel at the marginal distribution `P.map Y` is a conditional distribution of `Y` given `X`, then `X` and `Y` are independent.
* `indepFun_iff_hasCondDistrib_const`: combines these implications into an equivalence (under the same finiteness and a.e.-measurability assumptions).
In addition, this PR also adds the new file `Mathlib/Probability/Independence/CondDistrib.lean`. The main theorem in this file, `indepFun_iff_condDistrib_ae_eq_const`, states that (assuming that `P` is finite) for a.e.-measurable random variables `X` and `Y`, with `Y` taking values in a nonempty standard Borel space, `X` and `Y` are independent if and only if the conditional distribution of `Y` given `X` is equal, `P.map X`-almost everywhere, to the constant kernel at the marginal distribution `P.map Y`. The new file is also added 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
|
72/0 |
Mathlib.lean,Mathlib/Probability/HasCondDistrib.lean,Mathlib/Probability/Independence/CondDistrib.lean |
3 |
3 |
['bocowgill', 'github-actions'] |
kex-y assignee:kex-y |
4-55877 4 days ago |
11-45013 11 days ago |
11-44796 11 days |
| 42350 |
sankalpsthakur author:sankalpsthakur |
feat(Computability): characterize halted TM1 configurations |
Adds `Turing.TM1.step_none_iff`, characterizing exactly when a single TM1 step returns `none`: iff the configuration's current label is already `none`. Tagged `@[simp]`.
Motivated by #35366.
### Validation
Built locally: `lake build Mathlib.Computability.TuringMachine.PostTuringMachine` — succeeds (688 jobs, cache-backed).
Closes #35366
### 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-computability
new-contributor
LLM-generated
|
5/0 |
Mathlib/Computability/TuringMachine/PostTuringMachine.lean |
1 |
2 |
['github-actions'] |
nobody |
4-50680 4 days ago |
4-51271 4 days ago |
5-48631 5 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 |
4-50451 4 days ago |
6-60627 6 days ago |
6-60410 6 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 |
3 |
['github-actions'] |
nobody |
4-49333 4 days ago |
6-60609 6 days ago |
6-60392 6 days |
| 42356 |
sankalpsthakur author:sankalpsthakur |
fix(Tactic/Lift): preserve abbreviated target types |
`lift n to MyNat using hn` where `MyNat` is an `abbrev` could produce a proof term whose displayed/elaborated type unfolds the abbreviation to its underlying type, losing the connection to `MyNat`-specific declarations (e.g. a subsequent call to a `MyNat`-namespaced lemma would fail to resolve).
Wraps the synthesized proof term in an explicit `show ∃ _ : $t, _ from …` ascription using the originally-written target syntax `t`, so the abbreviation is preserved rather than unfolded.
Closes #15865.
-------
### Validation
- Built locally: `lake build Mathlib.Tactic.Lift` and `lake build MathlibTest.Tactic.Lift` — both succeed, including the new regression test (lifting to an `abbrev`-defined `MyNat` and calling a `MyNat`-namespaced lemma on the result).
- Scope note: `lift` is used in roughly 241 files across Mathlib. I verified the tactic's own implementation and its dedicated test suite build cleanly, but did not rebuild the full library to check every existing call site — the ascription should be semantically transparent (same term, explicit type), but I'm relying on CI for full-library confirmation rather than claiming that coverage myself.
### 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-meta
new-contributor
LLM-generated
|
17/2 |
Mathlib/Tactic/Lift.lean,MathlibTest/Tactic/Lift.lean |
2 |
2 |
['github-actions'] |
thorimur assignee:thorimur |
4-48423 4 days ago |
6-60596 6 days ago |
6-60379 6 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 |
4-45249 4 days ago |
5-54835 5 days ago |
5-54618 5 days |
| 42224 |
matt-w-horn author:matt-w-horn |
doc: sync area READMEs with the directory tree |
These four README topic lists are out of date.
`Order/README.md` was missing `Order.ConditionallyCompletePartialOrder`, which sits between `CompleteLattice` and `ConditionallyCompleteLattice` in the import chain. The three convex ones were missing files that have been added since.
No Lean changes.
Claude Fable checked the READMEs against the directory tree and suggested the additions; I made the edits.
Assisted-by: Claude Fable 5 |
easy
new-contributor
LLM-generated
t-convex-geometry
|
8/0 |
Mathlib/Analysis/Convex/Cone/README.md,Mathlib/Geometry/Convex/Cone/README.md,Mathlib/Geometry/Convex/README.md,Mathlib/Order/README.md |
4 |
15 |
['YaelDillies', 'github-actions', 'mathlib-bors', 'matt-w-horn'] |
YaelDillies assignee:YaelDillies |
4-45153 4 days ago |
5-63796 5 days ago |
7-85207 7 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.
---
<!-- Your PR title will become the first line of the commit message.
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- Nat.bit1_add_bit1
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-->
[](https://gitpod.io/from-referrer/)
|
new-contributor |
3/0 |
docs/1000.yaml |
1 |
3 |
['github-actions'] |
nobody |
4-23496 4 days ago |
5-75744 5 days ago |
5-75527 5 days |
| 41498 |
pepamontero author:pepamontero |
feat(Analysis/SpecificLimits/Normed): the sum ∑' n, n ^ k * r ^ n via Stirling numbers |
For `‖r‖ < 1`, compute `∑' n : ℕ, n ^ k * r ^ n` as the finite sum `∑ j ∈ range (k + 1), S(k, j) * j ! * r ^ j / (1 - r) ^ (j + 1)`, where `S(k, j)` are the Stirling numbers of the second kind.
**Motivation:** a special case of `tsum_sq_mul_geometric_of_norm_lt_one` over `ℂ` was proved in the FLT project and is generalized here to match the surrounding Mathlib API; the private FLT lemma can then be replaced by this one.
**Main additions to `Normed.lean`:**
- The general power formula:
- `hasSum_pow_mul_geometric_of_norm_lt_one'` / `tsum_pow_mul_geometric_of_norm_lt_one'`: for `‖r‖ < 1` in a general ring, `∑' n, n ^ k * r ^ n = ∑ j ∈ range (k + 1), S(k, j) * j ! * r ^ j * ((1 - r)⁻¹ʳ) ^ (j + 1)`.
- `hasSum_pow_mul_geometric_of_norm_lt_one` / `tsum_pow_mul_geometric_of_norm_lt_one`: the same in a field, with `/ (1 - r) ^ (j + 1)`.
- The `descFactorial` special case that supplies each term of that sum:
- `hasSum_descFactorial_mul_geometric_of_norm_lt_one'` / `tsum_descFactorial_mul_geometric_of_norm_lt_one'`: for `‖r‖ < 1` in a general ring, `∑' n, n.descFactorial j * r ^ n = j ! * r ^ j * ((1 - r)⁻¹ʳ) ^ (j + 1)`.
- `hasSum_descFactorial_mul_geometric_of_norm_lt_one` / `tsum_descFactorial_mul_geometric_of_norm_lt_one`: the field versions, with `/ (1 - r) ^ (j + 1)`.
**Additions to other files:**
- `Combinatorics/Enumerative/Stirling.lean`: `Nat.pow_eq_sum_stirlingSecond_mul_descFactorial`, expressing every power `n ^ k` as a linear combination `n ^ k = ∑ j ∈ range (k + 1), stirlingSecond k j * n.descFactorial j`.
- `Data/Nat/Factorial/Basic.lean`: `Nat.descFactorial_mul_self`, the identity `n.descFactorial j * n = n.descFactorial (j + 1) + j * n.descFactorial j`, used in the induction proving the Stirling result above.
**Other changes:**
- `summable_pow_mul_geometric_of_norm_lt_one` (statement unchanged) is now a one-line consequence of the general formula; its previous proof via `ascPochhammer` is deleted, so the `RingTheory.Polynomial.Pochhammer` import is no longer needed.
- The statement of `summable_descFactorial_mul_geometric_of_norm_lt_one` changes from the shifted summand `(n + k).descFactorial k * r ^ n` to `n.descFactorial k * r ^ n`, to match the new `hasSum`/`tsum` lemmas. It had no other uses in Mathlib, and the shifted form is recoverable in one line from `summable_choose_mul_geometric_of_norm_lt_one`.
- The proof of `hasSum_coe_mul_geometric_of_norm_lt_one'` (`k = 1`) is simplified using the general formula, and the `k = 2` case is added: `∑' n, n ^ 2 * r ^ n = r * (1 + r) / (1 - r) ^ 3` (`hasSum_sq_mul_geometric_of_norm_lt_one'` and the three companion lemmas).
- The redundant imports mentioned above have now been removed; this required import edits in 8 dependent files that had relied on them transitively.
**AI Disclosure**: this code originated in the FLT project, where an initial version was written by William Coram and Samuel Yin with AI assistance (Claude, later cleaned up with Codex). It has since been substantially rewritten for this PR; little of the original generated code remains.
Co-authored-by: Malhar A. Patel <142735852+Mal-Pat@users.noreply.github.com>
Co-authored-by: William Coram
Co-authored-by: Samuel Yin
---
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Moves:
- Vector.* -> List.Vector.*
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Deletions:
- Nat.bit1_add_bit1
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-->
[](https://gitpod.io/from-referrer/)
|
new-contributor
large-import
t-analysis
maintainer-merge
|
195/83 |
Mathlib/Analysis/Calculus/ContDiff/Defs.lean,Mathlib/Analysis/SpecialFunctions/OrdinaryHypergeometric.lean,Mathlib/Analysis/SpecialFunctions/Pochhammer.lean,Mathlib/Analysis/SpecialFunctions/PolynomialExp.lean,Mathlib/Analysis/SpecialFunctions/Pow/Deriv.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean,Mathlib/Analysis/SpecificLimits/Normed.lean,Mathlib/Combinatorics/Enumerative/Stirling.lean,Mathlib/Data/Nat/Factorial/Basic.lean,Mathlib/InformationTheory/Coding/KraftMcMillan.lean,Mathlib/Topology/Instances/CantorSet.lean |
11 |
34 |
['Mal-Pat', 'YaelDillies', 'github-actions', 'grunweg', 'pepamontero'] |
nobody |
4-19456 4 days ago |
22-70894 22 days ago |
28-7227 28 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 |
4-13959 4 days ago |
5-84349 5 days ago |
6-1726 6 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 |
3-83131 3 days ago |
3-84336 3 days ago |
22-66120 22 days |
| 35402 |
samueloettl author:samueloettl |
feat(Dynamics/BirkhoffSum): birkhoffAverage const |
---
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Co-authors in the squash commit are gathered from two sources:
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I think this is useful and one of these should be a simp lemma.
I'm not really sure if I got the naming of the theorems correct.
When generalizing to the assumption (n : R) ≠ 0 instead of the special case CharZero R with n ≠ 0 I had to use "open Classical in". I'm a bit unfamiliar with that part so please check if this makes sense. See also https://github.com/leanprover-community/mathlib4/pull/35307#discussion_r2823586252
[](https://gitpod.io/from-referrer/)
|
t-dynamics
new-contributor
|
14/0 |
Mathlib/Dynamics/BirkhoffSum/Average.lean |
1 |
39 |
['Maldooor', 'github-actions', 'lua-vr', 'mcdoll', 'plp127', 'samueloettl'] |
nobody |
3-82291 3 days ago |
101-7929 101 days ago |
167-6525 167 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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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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- [ ] depends on: #xyz [optional extra text]
-->
- [x] depends on: #37714
[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
168/141 |
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 |
12 |
['github-actions', 'leanprover-radar', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mortarsanjaya', 'themathqueen'] |
nobody |
3-82006 3 days ago |
3-84183 3 days ago |
52-15511 52 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 |
3-80719 3 days ago |
3-83719 3 days ago |
3-83502 3 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
|
59/18 |
Mathlib.lean,Mathlib/Analysis/Distribution/SchwartzSpace.lean,Mathlib/Analysis/Distribution/SchwartzSpace/Basic.lean,Mathlib/Analysis/Distribution/SchwartzSpace/DenseLp.lean,Mathlib/Analysis/Fourier/LpSpace.lean |
5 |
4 |
['FawadHa1der', 'github-actions'] |
nobody |
3-72395 3 days ago |
3-73057 3 days ago |
3-73021 3 days |
| 42266 |
menon-codes author:menon-codes |
refactor: making trans usage explicit with kerLift |
Slightly simplifies the argument used in `exists_integral_inj_algHom_of_quotient` for clarity.
This is also needed to fix a small edge case present in a linter I am making as discussed here: [#mathlib4 > Linter for ellipsis @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Linter.20for.20ellipsis/near/613523943) |
t-ring-theory
new-contributor
maintainer-merge
|
2/5 |
Mathlib/RingTheory/NoetherNormalization.lean |
1 |
8 |
['copilot-pull-request-reviewer', 'github-actions', 'grunweg', 'menon-codes'] |
nobody |
3-72233 3 days ago |
4-3966 4 days ago |
9-46255 9 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'] |
kim-em assignee:kim-em |
3-55881 3 days ago |
88-83763 88 days ago |
88-83546 88 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 |
3-55575 3 days ago |
21-33142 21 days ago |
21-32925 21 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 |
3-53298 3 days ago |
20-46357 20 days ago |
20-46140 20 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 |
3-50443 3 days ago |
3-53252 3 days ago |
3-58431 3 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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[](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 |
24 |
['ChiCubed', 'github-actions', 'themathqueen', 'wwylele'] |
themathqueen assignee:themathqueen |
3-48757 3 days ago |
3-50937 3 days ago |
53-65255 53 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 |
3-48212 3 days ago |
3-50764 3 days ago |
55-17924 55 days |
| 40812 |
karlesmarin author:karlesmarin |
feat(RingTheory/HopfAlgebra): antipode is the unique convolution inverse of the identity |
Adds `HopfAlgebra.eq_antipode_of_convMul_id_eq_one` and `HopfAlgebra.eq_antipode_of_id_convMul_eq_one`: an `R`-linear map that is a one-sided convolution inverse of the identity equals the antipode. Either side suffices.
The proof is `left_inv_eq_right_inv` in the convolution monoid `WithConv (A →ₗ[R] A)` together with the two antipode axioms, transported by `toConv_injective`. It closes the "uniqueness of Hopf algebra structure on a bialgebra" TODO in this file, and is the uniqueness companion to the existing `ofConvInverse` (existence).
---
**AI disclosure.** This contribution was written with AI assistance (Claude, used as a coding assistant). I have reviewed and understand the proof and can justify the design. The result is classical; the contribution is its Lean formalization.
|
t-ring-theory
new-contributor
LLM-generated
maintainer-merge
|
17/3 |
Mathlib/RingTheory/HopfAlgebra/Basic.lean,Mathlib/RingTheory/HopfAlgebra/Convolution.lean |
2 |
24 |
['YaelDillies', 'github-actions', 'hawkrobe', 'karlesmarin', 'themathqueen'] |
nobody |
3-20921 3 days ago |
3-20945 3 days ago |
39-24679 39 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 |
2-78847 2 days ago |
2-79465 2 days ago |
45-12543 45 days |
| 38848 |
jcreinhold author:jcreinhold |
feat(AlgebraicTopology/SimplicialSet): exists_isPushout_of_ne_top |
Every proper subcomplex of a simplicial set extends by attaching a single cell along its boundary, exhibited as a pushout of `∂Δ[n] ↪ Δ[n]`. This is the per-cell input for cell-by-cell filtrations of monomorphisms in `SSet`.
Adapted from @joelriou 's [proof](https://github.com/joelriou/topcat-model-category/blob/813338a8c88cfe0096deed7e3ba7daf92d4a1c71/TopCatModelCategory/SSet/Boundary.lean#L187). I also added the supporting lemma `Types.isPullback_of_eq_setPreimage` (set-preimage square is a pullback in `Type u`).
AI use: Claude helped locate `subtype_val_mono` and the `backward.isDefEq.respectTransparency` option.
|
t-algebraic-topology
new-contributor
|
117/3 |
Mathlib/AlgebraicTopology/SimplicialSet/Boundary.lean,Mathlib/CategoryTheory/Limits/Types/Pullbacks.lean |
2 |
37 |
['dagurtomas', 'github-actions', 'jcreinhold', 'joelriou', 'mckoen'] |
nobody |
2-74629 2 days ago |
51-2539 51 days ago |
96-52639 96 days |
| 28246 |
Sebi-Kumar author:Sebi-Kumar |
feat(AlgebraicTopology/FundamentalGroupoid): the n-sphere is simply connected for n > 1 |
Prove that the `n`-dimensional sphere (i.e., the unit sphere centered at the origin in `(n + 1)`-dimensional real Euclidean space) is a simply connected space for `n > 1`. This proof follows Hatcher's "Algebraic Topology"; we first prove a general lemma about decomposing loops and then exploit the fact that non-surjective loops in the sphere are homotopically trivial.
Note: To get this file to build, I edited `Mathlib/Tactic/Linter/DirectoryDependency.lean` to remove the restrictions on AlgebraicTopology files importing Geometry, NumberTheory, and FieldTheory files. Thank you to those who shared their expertise [here](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Warning.20that.20AlgebraicTopology.20can't.20import.20SetTheory/with/533833638). As I understand it, this is just a short-term solution, so I would appreciate feedback on what to do about this situation.
Note: I am unsure where exactly the file `SimplyConnectedSphere.lean` should go or whether that is an appropriate name for the file, so feedback there would be appreciated.
---
To provide additional context, this code was written as a part of the Fields Undergraduate Summer Research Program at the University of Western Ontario under the supervision of Chris Kapulkin and Daniel Carranza.
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[](https://gitpod.io/from-referrer/)
|
t-algebraic-topology
new-contributor
|
371/3 |
Mathlib.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/SimplyConnectedSphere.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/VanKampen.lean,Mathlib/Logic/Equiv/PartialEquiv.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean,Mathlib/Topology/Path.lean |
6 |
19 |
['Sebi-Kumar', 'dagurtomas', 'github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'robin-carlier'] |
dagurtomas assignee:dagurtomas |
2-55864 2 days ago |
24-78708 24 days ago |
38-70357 38 days |
| 41734 |
IlPreteRosso author:IlPreteRosso |
feat(DiscreteConvolution): add ring convolution definitions and properties |
Continuation of PR #34191
Adds ring convolution and its elementary properties.
Aligns the API with [Day convolution](https://leanprover-community.github.io/mathlib4_docs/Mathlib/CategoryTheory/Monoidal/DayConvolution.html) structure. Although no idea how to bridge them right now. |
t-topology
new-contributor
|
222/5 |
Mathlib/Topology/Algebra/InfiniteSum/DiscreteConvolution.lean |
1 |
3 |
['github-actions', 'grunweg'] |
j-loreaux assignee:j-loreaux |
2-55858 2 days ago |
25-10238 25 days ago |
25-10021 25 days |
| 42376 |
JJYYY-JJY author:JJYYY-JJY |
feat(MeasureTheory): add RCLike integrability equivalences for real-valued functions |
Continues from https://github.com/leanprover-community/mathlib4/pull/17176, I merged it into current main and implement with previous comments.
---
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-->
[](https://gitpod.io/from-referrer/)
|
t-measure-probability
new-contributor
|
31/0 |
Mathlib/MeasureTheory/Function/L1Space/Integrable.lean,Mathlib/MeasureTheory/Integral/IntegrableOn.lean |
2 |
3 |
['github-actions'] |
EtienneC30 assignee:EtienneC30 |
2-55856 2 days ago |
5-79934 5 days ago |
5-79732 5 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 |
2-55244 2 days ago |
2-55250 2 days ago |
2-55033 2 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'] |
nobody |
2-54981 2 days ago |
37-61560 37 days ago |
37-61343 37 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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may create empty commits to indicate co-authorship, using commands like so:
git commit --author="Author Name <author@email.com>" --allow-empty -m "add Author Name as coauthor"
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the commit message (that is, directly before the `---`) using the following format:
Co-authored-by: Author Name <author@email.com>
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at the bottom of the commit message (before the `---`, and also before
any "Co-authored-by" lines) using the following format:
Moves:
- Vector.* -> List.Vector.*
- ...
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- Nat.bit1_add_bit1
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-->
Additional context:
This is extracted and refactored from a standalone project on determinantal
ideals and the Gröbner-basis theorem for generic determinantal ideals:
https://github.com/WangJiabai/Determinantal-Ideals-Formalization
The current PR is intentionally limited to the small foundational API for
generic minors and generic determinantal ideals.
AI use:
ChatGPT was used for planning/refactoring discussion, and Codex was used to
draft some proof scripts. I reviewed the statements and proofs and am
responsible for the submitted code.
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
LLM-generated
|
227/0 |
Mathlib.lean,Mathlib/RingTheory/MvPolynomial/DeterminantalIdeal.lean |
2 |
3 |
['WangJiabai', 'github-actions'] |
nobody |
2-54980 2 days ago |
63-84466 63 days ago |
63-84249 63 days |
| 42483 |
bocowgill author:bocowgill |
feat(Analysis/InnerProductSpace/Projection): characterize joint minimizers via infDist |
This PR adds two results about minimization and orthogonal projection onto a subspace.
- `Submodule.norm_starProjection_orthogonal_eq_infDist` identifies the norm of the projection onto `Uᗮ` with the point-to-set distance `Metric.infDist y U`.
- `Submodule.exists_forall_norm_sub_le_iff_forall_infDist_le` characterizes when a point `a : E` can be paired with some `u : U` such that their 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`.
The second theorem is stated using a comparison set rather than a particular parameterization. Specializing
`A = Set.range (fun z' ↦ y - f z')`
and
`a = y - f z`
recovers the abstract partialling-out principle underlying the Frisch–Waugh–Lovell theorem.
---
### Motivation
These lemmas extend Mathlib's inner-product-space projection API for partial minimization over a subspace.
- The first result connects the norm of an orthogonal residual with Mathlib's canonical point-to-set distance.
- The second shows that the subspace variable can be profiled out: joint optimization against points of `U` reduces to minimizing `Metric.infDist · U` over the remaining comparison set.
This geometric formulation is intended to support later formalizations of least squares, regression, and partialling-out arguments while remaining independent 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 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 two theorems' proofs.
For the current revision, I ran a targeted build of `Mathlib.Analysis.InnerProductSpace.Projection.Basic`, 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 set-based 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
|
59/0 |
Mathlib/Analysis/InnerProductSpace/Projection/Basic.lean |
1 |
7 |
['bocowgill', 'github-actions', 'wwylele'] |
nobody |
2-41328 2 days ago |
2-52463 2 days ago |
2-52246 2 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).
---
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Co-authors in the squash commit are gathered from two sources:
First, all authors of commits to this PR branch are included. Thus,
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each co-author among the commits in the pull request. If necessary, you
may create empty commits to indicate co-authorship, using commands like so:
git commit --author="Author Name <author@email.com>" --allow-empty -m "add Author Name as coauthor"
Second, co-authors can also be listed in lines at the very bottom of
the commit message (that is, directly before the `---`) using the following format:
Co-authored-by: Author Name <author@email.com>
If you are moving or deleting declarations, please include these lines
at the bottom of the commit message (before the `---`, and also before
any "Co-authored-by" lines) using the following format:
Moves:
- Vector.* -> List.Vector.*
- ...
Deletions:
- Nat.bit1_add_bit1
- ...
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below the `---`, and placed outside this HTML comment, or else they
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If this PR depends on other PRs, please list them below this comment,
using the following format:
- [ ] depends on: #abc [optional extra text]
- [ ] depends on: #xyz [optional extra text]
-->
[](https://gitpod.io/from-referrer/)
|
t-algebra
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 |
2-14936 2 days ago |
2-16370 2 days ago |
15-45573 15 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 |
2-11381 2 days ago |
2-11381 2 days ago |
2-11164 2 days |
| 42493 |
attilavjda author:attilavjda |
chore(GroupTheory/Complement): deduplicate IsComplement.card_mul |
IsComplement.card_mul restated IsComplement.card_mul_card. Keep the latter (conventional name, has to_additive), deprecate the former, rename IsComplement'.card_mul to match, update the call site.
Aristotle helped with finding the duplicates, generating and verifing the code, understanding the proofs, preparing the PR and reasoning.
---
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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.
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listing all co-authors.
Co-authors in the squash commit are gathered from two sources:
First, all authors of commits to this PR branch are included. Thus,
one way to add co-authors is to include at least one commit authored by
each co-author among the commits in the pull request. If necessary, you
may create empty commits to indicate co-authorship, using commands like so:
git commit --author="Author Name <author@email.com>" --allow-empty -m "add Author Name as coauthor"
Second, co-authors can also be listed in lines at the very bottom of
the commit message (that is, directly before the `---`) using the following format:
Co-authored-by: Author Name <author@email.com>
If you are moving or deleting declarations, please include these lines
at the bottom of the commit message (before the `---`, and also before
any "Co-authored-by" lines) using the following format:
Moves:
- Vector.* -> List.Vector.*
- ...
Deletions:
- Nat.bit1_add_bit1
- ...
Any other comments you want to keep out of the PR commit should go
below the `---`, and placed outside this HTML comment, or else they
will be invisible to reviewers.
If this PR depends on other PRs, please list them below this comment,
using the following format:
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- [ ] depends on: #xyz [optional extra text]
-->
[](https://gitpod.io/from-referrer/)
|
t-group-theory
new-contributor
|
9/7 |
Mathlib/GroupTheory/Complement.lean |
1 |
2 |
['github-actions'] |
nobody |
2-9148 2 days ago |
2-20947 2 days ago |
2-20730 2 days |
| 42410 |
MrBrain295 author:MrBrain295 |
feat(Data/EReal): prove recENNReal_neg_coe_ennreal |
---
<!-- Your PR title will become the first line of the commit message.
In this box, the text above the `---` (if not empty) will be appended
to the commit message, and can be used to give additional context or
details. Please leave a blank newline before the `---`, otherwise GitHub
will format the text above it as a title.
For details on the "pull request lifecycle" in mathlib, please see:
https://leanprover-community.github.io/contribute/index.html
In particular, note that most reviewers will only notice your PR
if it passes the continuous integration checks.
Please ask for help on https://leanprover.zulipchat.com if needed.
When merging, all the commits will be squashed into a single commit
listing all co-authors.
Co-authors in the squash commit are gathered from two sources:
First, all authors of commits to this PR branch are included. Thus,
one way to add co-authors is to include at least one commit authored by
each co-author among the commits in the pull request. If necessary, you
may create empty commits to indicate co-authorship, using commands like so:
git commit --author="Author Name <author@email.com>" --allow-empty -m "add Author Name as coauthor"
Second, co-authors can also be listed in lines at the very bottom of
the commit message (that is, directly before the `---`) using the following format:
Co-authored-by: Author Name <author@email.com>
If you are moving or deleting declarations, please include these lines
at the bottom of the commit message (before the `---`, and also before
any "Co-authored-by" lines) using the following format:
Moves:
- Vector.* -> List.Vector.*
- ...
Deletions:
- Nat.bit1_add_bit1
- ...
Any other comments you want to keep out of the PR commit should go
below the `---`, and placed outside this HTML comment, or else they
will be invisible to reviewers.
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- [ ] depends on: #xyz [optional extra text]
-->
Replaces the `proof_wanted` with a proof and removes the extra import. Generated by @Aristotle-Harmonic and reviewed by myself.
[](https://gitpod.io/from-referrer/)
|
t-data
LLM-generated
new-contributor
|
10/4 |
Mathlib/Data/EReal/Operations.lean |
1 |
8 |
['MrBrain295', 'Whysoserioushah', 'github-actions'] |
nobody |
2-6906 2 days ago |
3-5468 3 days ago |
3-5332 3 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'] |
ocfnash assignee:ocfnash |
2-4310 2 days ago |
55-22792 55 days ago |
55-31049 55 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 antichain closures, the injective transversal and weak dualities) should live in existing files (`Mathlib/Order/Antichain.lean`, `Mathlib/Order/UpperLower/…`) rather than in a new file.
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
|
610/3 |
Mathlib.lean,Mathlib/Order/Dilworth.lean,docs/1000.yaml |
3 |
18 |
['AntoineduFresne', 'SnirBroshi', 'github-actions', 'tdwag123'] |
nobody |
1-83311 1 day ago |
51-33858 51 days ago |
51-34803 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 |
1-73473 1 day ago |
2-6634 2 days ago |
2-6417 2 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
label:t-algebra$ |
8/17 |
Mathlib/Algebra/Tropical/Basic.lean |
1 |
2 |
['github-actions'] |
nobody |
1-69103 1 day ago |
1-74068 1 day ago |
1-77723 1 day |
| 35735 |
mkaratarakis author:mkaratarakis |
feat(NumberTheory): analytical properties and lower bounds for Gelfond-Schneider auxiliary function |
This PR is the third component in the formalization of the Gelfond-Schneider Theorem (Hilbert's Seventh Problem). It connects the algebraically constructed auxiliary function `R(x)` to its analytical properties, establishing the exact order of vanishing and the fundamental lower bound on the norm of its non-zero derivative evaluation.
Following the argument in Loo-Keng Hua's *Introduction to Number Theory* (Chapter 17.9, equations (4) and (5)), we define the minimal non-vanishing derivative order $r$ and scale the evaluation to an algebraic integer to compute its norm.
1. (`iteratedkDeriv_R_eq_zero` & `order_geq_n`): We verify that the coefficient vector $\eta$ (chosen via Siegel's lemma in the previous PR) forces the first $n$ derivatives of the auxiliary function $R(x)$ to vanish at the points $x \in \{1, 2, \dots, m\}$. Consequently, the analytical order of $R(x)$ at these points is at least $n$.
2. We extract $r$, the exact minimal order of vanishing of $R(x)$ among all points $1 \le l \le m$, and prove that $n \le r$.
3. We define the non-zero algebraic number $\rho = (\log \alpha)^{-r} R^{(r)}(l_0)$.
4. We prove the crucial textbook step that scaling $\rho$ by $c_1^{r+2mq}$ (formalized here as `cρ`) results in an algebraic integer in $\mathcal{O}_K$.
5. Because $c_1^{r+2mq} \rho$ is a non-zero algebraic integer, the absolute value of its norm is at least $1$. We use this to formally prove the strict lower bound on the absolute norm of the unscaled $\rho$: $|N(\rho)| > c_1^{-h(r+2mq)} > c_5^{-r}$.
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|
t-number-theory
new-contributor
|
1105/48 |
Mathlib.lean,Mathlib/NumberTheory/NumberField/House.lean,Mathlib/NumberTheory/Transcendental/GelfondSchneider/MainAlg.lean,Mathlib/NumberTheory/Transcendental/GelfondSchneider/MainOrder.lean,Mathlib/RingTheory/Algebraic/NatDenominator.lean |
5 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
1-64509 1 day ago |
1-64509 1 day ago |
1-64771 1 day |
| 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 |
1-64163 1 day ago |
6-54795 6 days ago |
6-54981 6 days |
| 42326 |
AlyciaBHZ author:AlyciaBHZ |
feat(NumberTheory/Wilson): explicit square root of -1 modulo a prime |
Adds an explicit square root of `-1` in `ZMod p`, together with the half-factorial pairing identity it rests on.
- `ZMod.factorial_eq_neg_one_pow_mul_half_factorial_sq`: for odd `p`, `(p - 1)! = (-1)^m * (m !)^2` in `ZMod p` with `m = (p - 1) / 2`. Only needs `Odd p`, not primality.
- `ZMod.half_factorial_sq_eq_neg_one`: for prime `p` with `p % 4 ≠ 3`, `((p - 1) / 2)!` is a square root of `-1`.
### Why
Mathlib has `exists_sq_eq_neg_one_iff` for existence and `mod_four_ne_three_of_sq_eq_neg_one` for the converse, but nothing takes you from the congruence condition to a specific root. I checked all seventeen uses of `IsSquare (-1 : ZMod _)` currently in Mathlib and none of them exhibits a witness.
A live case: `SumOfTwoSquares/Wilson.lean` in `seewoo5/DifferentProofs` states the pairing identity verbatim in a docstring, though only for `p ≡ 1 mod 4` and assuming primality. I have no consumer for it myself — I hit the gap formalizing something adjacent and it seemed worth contributing rather than keeping local.
The pairing identity is worth having on its own: it is the core step of the standard Wilson argument and holds for any odd `p`, so it is not really about primes.
### AI disclosure
The Lean proofs were drafted with an OpenAI Codex agent orchestrated by Claude Code, and I reviewed the result. I re-ran the duplicate search against current master, CSLib, Batteries, Lean core and by type on Loogle, and ran `lake build` / `runLinter` / `lint-style` by hand.
|
t-number-theory
new-contributor
LLM-generated
|
42/1 |
Mathlib/NumberTheory/Wilson.lean |
1 |
12 |
['AlyciaBHZ', 'bocowgill', 'github-actions', 'wwylele'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
1-55876 1 day ago |
7-15341 7 days ago |
7-15124 7 days |
| 42383 |
matt-w-horn author:matt-w-horn |
doc(Probability/Distributions): fix the mass in the Geometric docstring |
The module docstring gives the mass at `{n}` as `(1 - p) ^ n * n`. It's `(1 - p) ^ n * p`, per `geometricMeasure_singleton`.
Same file: "experience" for "experiment", a bullet siting the measure on "a semiring `R`" when it's on `ℕ`, and "positivty".
Claude Fable spotted these; I made the edits.
Assisted-by: Claude Fable 5 |
t-measure-probability
new-contributor
LLM-generated
easy
|
4/4 |
Mathlib/Probability/Distributions/Geometric.lean |
1 |
4 |
['github-actions', 'matt-w-horn'] |
EtienneC30 assignee:EtienneC30 |
1-55875 1 day ago |
5-54285 5 days ago |
5-54068 5 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'] |
nobody |
1-54979 1 day ago |
45-40466 45 days ago |
99-62304 99 days |
| 41361 |
lakesare author:lakesare |
feat(Order/ConditionallyCompleteLattice/Finset): add `sup_eq_ciSup` |
From the Carleson project.
___
**Upstreaming from Carleson: [/Carleson/ToMathlib/Data/Finset/Lattice/Fold.lean](https://github.com/fpvandoorn/carleson/blob/a3e427dc0f23f6b818c7f7d32f2b1d2ccfab1f21/Carleson/ToMathlib/Data/Finset/Lattice/Fold.lean)**
Changes from the Carleson version:
1. `sup_eq_iSup'` is refactored (to shorten the proof & to make some of the imports unnecessary)
2. `sup_eq_iSup'` is renamed to `sup_eq_ciSup`
3. Carleson-suggested file was `/Data/Finset/Lattice/Fold.lean`, but we placed the theorem into `/Order/ConditionallyCompleteLattice/Finset.lean`
|
carleson
new-contributor
t-order
maintainer-merge
|
8/9 |
Mathlib/Order/ConditionallyCompleteLattice/Finset.lean |
1 |
21 |
['SnirBroshi', 'github-actions', 'j-loreaux', 'lakesare', 'themathqueen'] |
nobody |
1-24140 1 day ago |
1-38742 1 day ago |
19-51604 19 days |
| 26479 |
thefundamentaltheor3m author:thefundamentaltheor3m |
feat(Analysis/Complex/CauchyIntegral): Cauchy–Goursat for Unbounded Rectangles |
In this PR, we prove versions of the Cauchy-Goursat theorem where the contours in question are rectangular and unbounded (ie, where the contours look like the $\bigsqcup$ symbol). I am not sure if I have formalised these in the best way, or if `Analysis.Complex.CauchyIntegral` is the best place for them (it might be prudent to reorganise the file into multiple files at some point), but I believe this is a useful result. Suggestions welcome.
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|
new-contributor
t-analysis
sphere-packing
|
176/0 |
Mathlib/Analysis/Complex/CauchyIntegral.lean |
1 |
34 |
['github-actions', 'j-loreaux', 'loefflerd', 'mathlib4-merge-conflict-bot', 'thefundamentaltheor3m', 'themathqueen', 'wwylele'] |
j-loreaux assignee:j-loreaux |
1-23147 1 day ago |
1-23808 1 day ago |
88-4705 88 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
|
190/0 |
Mathlib.lean,Mathlib/Topology/EMetricSpace/PathLength.lean |
2 |
60 |
['CoolRmal', 'Zeta-Wu', 'felixpernegger', 'github-actions', 'pelicanhere', 'scholzhannah'] |
scholzhannah assignee:scholzhannah |
1-21314 1 day ago |
10-48320 10 days ago |
12-17297 12 days |
| 42292 |
stevenliuyi author:stevenliuyi |
feat(Probability/Kernel/Composition): kernel Radon-Nikodym derivative of composition products |
This PR resolves the TODO in this file by adding `rnDeriv_measure_compProd_right` and `rnDeriv_measure_compProd`, which replace `∂(μ ⊗ₘ κ)/∂(μ ⊗ₘ η)` by `∂κ/∂η` under the suitable assumptions.
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t-measure-probability
large-import
new-contributor
maintainer-merge
|
56/7 |
Mathlib/Probability/Kernel/Composition/RadonNikodym.lean |
1 |
12 |
['EtienneC30', 'github-actions', 'stevenliuyi'] |
EtienneC30 assignee:EtienneC30 |
1-18818 1 day ago |
1-39797 1 day ago |
7-75377 7 days |
| 42339 |
attilavjda author:attilavjda |
feat: add diagonal iSup and iInf lemmas |
Adds generic lemmas collapsing a cofinal double iSup/iInf to its diagonal, then uses them to simplify the corresponding ENat and ENNReal addition proofs.
Adds conditionally complete version with `hf : BddAbove (range fun k ↦ f k k)`. Dropping [Nonempty ι] (both sides are sSup ∅ when empty) makes the `…Bot` copy the same statement
```
CompleteSemilatticeSup
|
+--> iSup₂_eq_iSup_diagonal
|
+--> ENat.iSup_add_iSup
+--> ENNReal.iSup_add_iSup
+--> ENNReal.iInf_add_iInf (via dual)
ConditionallyCompleteLattice
|
+--> ciSup₂_eq_ciSup_diagonal
```
Aristotle helped
---
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t-order
new-contributor
LLM-generated
|
36/17 |
Mathlib/Data/ENNReal/Operations.lean,Mathlib/Data/ENat/Lattice.lean,Mathlib/Order/CompleteLattice/Basic.lean,Mathlib/Order/ConditionallyCompleteLattice/Indexed.lean |
4 |
13 |
['SnirBroshi', 'attilavjda', 'github-actions', 'vihdzp'] |
nobody |
1-18048 1 day ago |
2-84669 2 days ago |
4-64873 4 days |
| 41808 |
JX-Mo author:JX-Mo |
feat(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 `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 both `ind` and `coinvariantsTensorInd`. Moreover, it turns out a single @[simp] lemma `IndV.lift_apply_IndVMk` is good enough while previously we had the annoying @[simps] above `ind` unfolding several linear algebra layers at once. We then make `ind` simply an abbrev using `IndV.lift`, without additional API lemmas.
As an immediate payoff, the definitions and proofs around `ind`, `indResHomEquiv` and `coinvariantTensorInd` becomes much cleaner.
This also has very direct downstream benefit in smooth representation theory: `ind` packages both induction and coinvariant in a single functor and these API lemmas will serve both of Hecke modules and Jacquet modules. |
t-algebra
new-contributor
label:t-algebra$ |
102/61 |
Mathlib/RepresentationTheory/FiniteIndex.lean,Mathlib/RepresentationTheory/Induced.lean |
2 |
2 |
['github-actions'] |
nobody |
1-15792 1 day ago |
1-19618 1 day ago |
23-28346 23 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
|
677/1 |
Mathlib.lean,Mathlib/Analysis/LaplaceTransform.lean,Mathlib/MeasureTheory/Integral/ExpDecay.lean |
3 |
33 |
['AlyciaBHZ', 'EtienneC30', 'dennj', 'github-actions', 'mathlib-splicebot'] |
EtienneC30 assignee:EtienneC30 |
1-6822 1 day ago |
2-4563 2 days ago |
54-49393 54 days |
| 42540 |
shaikidris author:shaikidris |
feat: add natural density of sets of naturals |
This PR defines the natural density of a set of natural numbers through convergence of its finite-prefix proportions.
It introduces `Set.HasNaturalDensity` and `Set.naturalDensity`, proves uniqueness, computes the densities of the empty and universal sets, and establishes that every natural density lies in `[0, 1]`.
This addresses part of the TODO in `Mathlib.Combinatorics.Schnirelmann`. Lower and upper asymptotic densities and their relationship with Schnirelmann density are left to focused follow-up PRs.
---
---
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AI disclosure: this PR is primarily LLM-generated (OpenAI Codex)
I primarily used these as part of my other project on quantitative descent already and I think there is a merit in reusability.
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|
new-contributor
t-combinatorics
|
185/2 |
Mathlib.lean,Mathlib/Combinatorics/AsymptoticDensity.lean,Mathlib/Combinatorics/Schnirelmann.lean |
3 |
8 |
['github-actions', 'shaikidris', 'wwylele'] |
nobody |
0-75042 20 hours ago |
1-1990 1 day ago |
1-1773 1 day |
| 41813 |
sqrt-of-2 author:sqrt-of-2 |
feat(LinearAlgebra): totally nonnegative matrices |
Define totally nonnegative matrices and add a basic API.
A matrix is totally nonnegative if all its finite minors have nonnegative determinant.
From RealRooted
Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
---
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|
new-contributor
t-algebra
maintainer-merge
label:t-algebra$ |
115/1 |
Mathlib.lean,Mathlib/Data/Set/Finite/Range.lean,Mathlib/LinearAlgebra/Matrix/Determinant/TotallyNonneg.lean,Mathlib/Order/Hom/Set.lean |
4 |
19 |
['Vierkantor', 'YaelDillies', 'github-actions', 'j-loreaux', 'sqrt-of-2', 'vlad902'] |
j-loreaux assignee:j-loreaux |
0-62030 17 hours ago |
0-64687 17 hours ago |
19-83777 19 days |
| 33247 |
sun123zxy author:sun123zxy |
feat(Mathlib/RingTheory/Ideal/Cotangent): dimension of cotangent spaces |
It is shown that the span rank of the maximal ideal of a local ring equals the dimension of the cotangent space
if the maximal ideal is finitely generated.
---
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|
new-contributor
t-ring-theory
|
39/0 |
Mathlib/RingTheory/Ideal/Cotangent.lean |
1 |
16 |
['erdOne', 'github-actions', 'mathlib-bors', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'sun123zxy', 'vlad902'] |
riccardobrasca assignee:riccardobrasca |
0-55883 15 hours ago |
31-72867 31 days ago |
66-8161 66 days |
| 42452 |
menon-codes author:menon-codes |
feat: lint for use of ellipsis |
See the conversation at [#mathlib4 > Linter for ellipsis @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Linter.20for.20ellipsis/near/613523943)
Creates a linter to detect excessive use of `_` holes at end of lemmas and replace it when appropriate with uses of `..`
It also creates a respective test file to check it, though I am not too certain about the styles and techniques mathlib uses for testing.
AI (GPT 5.6 Terra) was used heavily in the documentation and testing of the code. Most of the logic and coding was done manually. |
new-contributor
LLM-generated
t-linter
|
927/5 |
Mathlib.lean,Mathlib/Init.lean,Mathlib/RingTheory/NoetherNormalization.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean,Mathlib/Tactic/Linter/EllipsisPlaceholders.lean,MathlibTest/Linter/EllipsisPlaceholders.lean |
7 |
7 |
['copilot-pull-request-reviewer', 'github-actions', 'mathlib-bors', 'menon-codes'] |
thorimur assignee:thorimur |
0-55881 15 hours ago |
3-36622 3 days ago |
3-40560 3 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 |
0-55880 15 hours ago |
2-52701 2 days ago |
2-52484 2 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 |
44 |
['Shreyas4991', 'YaelDillies', 'Zetetic-Dhruv', 'github-actions'] |
nobody |
0-54981 15 hours ago |
90-67598 90 days ago |
107-28030 107 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'] |
nobody |
0-54980 15 hours ago |
77-12808 77 days ago |
92-68760 92 days |
| 39567 |
AlexBrodbelt author:AlexBrodbelt |
feat(Mathlib/Data/Finite/Option): option type is finite iff type is finite |
Option type is finite if and only if the type is finite.
This is an intermediate result to proving that if the `GroupWithZero` is (in)finite then the `Units` are (in)finite.
---
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t-data
new-contributor
|
25/0 |
Mathlib.lean,Mathlib/Data/Finite/Option.lean |
2 |
14 |
['AlexBrodbelt', 'github-actions', 'plp127', 'themathqueen'] |
nobody |
0-54978 15 hours ago |
81-22303 81 days ago |
81-22700 81 days |
| 40904 |
jiangf13 author:jiangf13 |
chore(Algebra/Group/WithOne): remove stale TODO |
The TODO claimed that `WithOne.coe_mul` and `WithZero.coe_mul` have inconsistent implicit parameters. Their current signatures are both of the form `{α} [Mul α] (a b : α)`, so the TODO is stale.
---
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|
t-algebra
new-contributor
maintainer-merge
label:t-algebra$ |
0/4 |
Mathlib/Algebra/Group/WithOne/Defs.lean |
1 |
3 |
['Multramate', 'github-actions', 'themathqueen'] |
nobody |
0-54973 15 hours ago |
47-1769 47 days ago |
47-1552 47 days |
| 39366 |
akiezun author:akiezun |
feat(Data/Nat): add prime divisibility for ascFactorial and choose |
Adds two prime-divisibility lemmas for natural-number factorial/binomial APIs.
The first characterizes when a prime divides an ascending factorial:
`Nat.Prime.dvd_ascFactorial_iff`.
The second applies this to binomial coefficients:
`Nat.Prime.dvd_choose_add_sub_one_iff`, using
`Nat.ascFactorial_eq_factorial_mul_choose'` and cancellation of the `n!` factor
when `n < p`.
---
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|
t-data
new-contributor
large-import
|
46/0 |
Mathlib.lean,Mathlib/Data/Nat/Choose/Consecutive.lean,Mathlib/Data/Nat/Factorial/BigOperators.lean |
3 |
9 |
['SnirBroshi', 'akiezun', 'github-actions', 'wwylele'] |
nobody |
0-54972 15 hours ago |
81-80158 81 days ago |
86-3920 86 days |
| 40006 |
tautschnig author:tautschnig |
feat(Data/ZMod/Basic): idempotents in ZMod (p^d) are exactly {0, 1} |
Add sq_eq_self_iff_eq_zero_or_one: in ZMod (p^d) for prime p and d > 0, x^2 = x iff x = 0 or x = 1.
This generalises eq_zero_or_one_of_sq_eq_self (which requires CancelMonoidWithZero, i.e., no zero divisors) to the prime-power case. ZMod (p^d) has zero divisors for d >= 2, so the mul_left_injective₀ argument used by the existing lemma does not apply. The proof works by lifting to ℕ, using that if gcd(a, b) = 1 and p^d | a*b then p^d divides one of a or b (by Euclid's lemma), then noting that a = x.val and b = x.val - 1 are consecutive naturals and hence coprime.
---
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[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
|
56/0 |
Mathlib/Data/ZMod/Basic.lean |
1 |
3 |
['Julian-Kuelshammer', 'github-actions'] |
nobody |
0-54971 15 hours ago |
71-24994 71 days ago |
71-25472 71 days |
| 42558 |
AMcRoberts author:AMcRoberts |
feat(Analysis/Polynomial): add Sturm's theorem for real polynomials |
We introduce Sturm sequences for real polynomials and prove Sturm's theorem:
the number of sign variations of the sequence decreases by exactly the
number of distinct roots crossed on a half-open interval. The development
follows the structure of Manuel Eberl's AFP entry *A Formalisation of
Sturm's Theorem* (2014); see the module's own `## References` section.
A follow-up PR adds `CertifiedSturmChain`, instantiating this theorem from
an exact Euclidean/pseudo-remainder-sequence certificate. |
t-analysis
new-contributor
|
1065/0 |
Mathlib.lean,Mathlib/Analysis/Polynomial/Sturm.lean,MathlibTest/Sturm.lean,docs/references.bib |
4 |
3 |
['github-actions'] |
nobody |
0-43092 11 hours ago |
0-43644 12 hours ago |
0-43693 12 hours |
| 42559 |
AMcRoberts author:AMcRoberts |
feat(Analysis/Polynomial): certified Sturm chains from a PRS certificate |
**Stacked on #42558** — this branch is `sturm-abstract` plus one more commit,
so the diff will include both PRs' changes until #42558 merges. Only the
second commit (`SturmCertificate.lean` + its test file) belongs to this PR;
please review that commit specifically until #42558 lands, at which point
this diff will shrink to just this PR's content.
---
`CertifiedSturmChain` packages the algebraic data a Euclidean or
pseudo-remainder-sequence construction naturally produces (a positive-scaled
recurrence at each step, a nonzero-constant Bézout identity between `p` and
its derivative, and a nonzero-constant terminal element) and proves it
satisfies `IsSturmSequence` (#42558), so a concrete PRS chain can drive
Sturm's root-count theorem directly without re-deriving the sign semantics
per instance.
This development was produced independently from the classical sources
cited in the module's own `## References` section, without consulting the
formalisation cited by #42558. |
t-analysis
new-contributor
|
1393/0 |
Mathlib.lean,Mathlib/Analysis/Polynomial/Sturm.lean,Mathlib/Analysis/Polynomial/SturmCertificate.lean,MathlibTest/Sturm.lean,MathlibTest/SturmCertificate.lean,docs/references.bib |
6 |
2 |
['github-actions'] |
nobody |
0-43071 11 hours ago |
0-43636 12 hours ago |
0-43694 12 hours |
| 41557 |
lakesare author:lakesare |
feat(Analysis/Convolution): add convolution_symm, convolution, (3 more lemmas) |
**Upstreaming from Carleson: [/Carleson/ToMathlib/Analysis/Convolution.lean](https://github.com/fpvandoorn/carleson/blob/master/Carleson/ToMathlib/Analysis/Convolution.lean)**
___
### Upstreamed theorems
- **theorem convolution_symm**
- renamed `g` to `f'` (to reuse the existing section variable)
- **theorem AEStronglyMeasurable.convolution** (refactored)
- **lemma lintegral_enorm_convolution_integrand_le_eLpNorm_mul_eLpNorm** (refactored)
- removed the comment _"This implies both of the following theorems convolutionExists_of_memLp_memLp and enorm_convolution_le_eLpNorm_mul_eLpNorm."_, because the comment would create an impression that it's an auxiliary lemma that shouldn't be used on its own
- **theorem ConvolutionExists.of_memLp_memLp** (slightly refactored)
- `(hf : AEStronglyMeasurable f μ)` and `(hg : AEStronglyMeasurable g μ)` were removed, because we can derive those hypotheses from `hfp.aestronglyMeasurable` and `hgq.aestronglyMeasurable` respectively (which we did during refactoring)
- **theorem enorm_convolution_le_eLpNorm_mul_eLpNorm**
___
- **lemma lintegral_enorm_convolution_integrand_le_eLpNorm_mul_eLpNorm,
theorem ConvolutionExists.of_memLp_memLp,
theorem enorm_convolution_le_eLpNorm_mul_eLpNorm**
- turned `(hpq : p.HolderConjugate q)` into an instance implicit `[hpq : p.HolderConjugate q]` (there does exist a `class HolderConjugate` for ENNReals, so mathlib seems to use instance implicits in such cases, like e.g. [here](https://github.com/leanprover-community/mathlib4/blob/79aee35d9696d759b73eed71d7dde666750bc35e/Mathlib/Analysis/Normed/Lp/lpHolder.lean#L262))
- **theorem AEStronglyMeasurable.convolution,
lemma lintegral_enorm_convolution_integrand_le_eLpNorm_mul_eLpNorm,
theorem ConvolutionExists.of_memLp_memLp,
theorem enorm_convolution_le_eLpNorm_mul_eLpNorm**
- `L` was implicit, now became explicit (to comply with existing section variables)
- changed `[SigmaFinite μ]` to `[SFinite μ]` (because it's a weaker requirement [/Mathlib/MeasureTheory/Measure/Typeclasses/SFinite.lean#L191](https://github.com/leanprover-community/mathlib4/blob/9ef14c7b82f8a45f8dfc03dace26d6bb25023bac/Mathlib/MeasureTheory/Measure/Typeclasses/SFinite.lean#L191))
|
carleson
t-analysis
new-contributor
|
63/5 |
Mathlib/Analysis/Convolution.lean,Mathlib/MeasureTheory/Function/LpSeminorm/CompareExp.lean |
2 |
11 |
['github-actions', 'j-loreaux', 'lakesare'] |
j-loreaux assignee:j-loreaux |
0-40419 11 hours ago |
0-41440 11 hours ago |
25-16430 25 days |
| 42547 |
kirill-kondrashov author:kirill-kondrashov |
feat(LinearAlgebra/ExteriorPower): add dual basis pairing technical lemma |
---
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In `Mathlib/LinearAlgebra/ExteriorPower/Basis.lean`, add a technical lemma `pairingDual_apply_dualBasis_exteriorPower`, needed by #17722, following the plan mentioned at [#maths > Hodge star operator @ 💬](https://leanprover.zulipchat.com/#narrow/channel/116395-maths/topic/Hodge.20star.20operator/near/615280568).
GPT-5.6-luna was used for this PR to fill in the proof body given a manually defined theorem statement.
[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
LLM-generated
easy
label:t-algebra$ |
10/0 |
Mathlib/LinearAlgebra/ExteriorPower/Basis.lean |
1 |
6 |
['github-actions', 'kirill-kondrashov', 'mathlib-bors'] |
nobody |
0-37114 10 hours ago |
0-71345 19 hours ago |
0-72461 20 hours |
| 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 |
0-36316 10 hours ago |
4-2042 4 days ago |
6-43345 6 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 |
676/613 |
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 |
10 |
['eric-wieser', 'github-actions', 'gloges'] |
nobody |
0-34380 9 hours ago |
0-35895 9 hours ago |
0-36396 10 hours |
| 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 |
0-25527 7 hours ago |
1-35538 1 day ago |
1-35321 1 day |
| 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'] |
nobody |
0-22150 6 hours ago |
30-65322 30 days ago |
30-65105 30 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
---
`edgeConnectivity_le_edgeReachability` needs a golf. Everything else should be good to go
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new-contributor |
45/0 |
Mathlib/Combinatorics/SimpleGraph/Connectivity/EdgeConnectivity.lean |
1 |
33 |
['JadAbouHawili', 'SnirBroshi', 'github-actions'] |
nobody |
0-15433 4 hours ago |
0-63466 17 hours ago |
0-69840 19 hours |
| 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$ |
13/0 |
Mathlib/LinearAlgebra/Matrix/GeneralLinearGroup/Defs.lean |
1 |
7 |
['github-actions', 'pepamontero'] |
nobody |
0-12250 3 hours ago |
23-31932 23 days ago |
23-34174 23 days |
| 38584 |
TJHeeringa author:TJHeeringa |
feat(Analysis/InnerProductSpace/Reproducing): Add outerKernel, mem_iff |
---
Adds the `outerKernel` definition and the theorem `mem_iff`. These are needed for proving statements involving embeddings of RKHS.
I can split `mem_of_posSemidef` and `mem_iff` off into a different pull request if that is preferred.
The theorems `mem_of_posSemidef` and `posSemidef_of_mem` are the two directions of `mem_iff`. `posSemidef_of_mem` is slightly stronger than the converse direction of `mem_iff` in the sense that it also specifies the constant `c` in the statement. The specified `c` is in fact the smallest possible `c` for which the statement holds.
The statement `mem_of_posSemidef` proves `∃ (g : H), (g : X → V) = f`. We could instead write `f ∈ (coeCLM 𝕜 (H:=H)).range`. Making this change would require the addition of the line `simp only [LinearMap.mem_range, coe_coe, coeCLM_apply]` in the beginning of the proof. The full beginning is then
```
lemma mem_of_posSemidef (f : X → V) {c : ℝ}
(hc : ((c : 𝕜) ^ 2 • kernel H - outerKernel 𝕜 f).PosSemidef) : f ∈ (coeCLM 𝕜 (H:=H)).range := by
simp only [LinearMap.mem_range, coe_coe, coeCLM_apply]
let Laux : ...
```
Making a `MemRKHS` like MemLp and MemSobolev and then writing `MemRKHS H f` is also an option. Happy to change it to whatever is preferred.
The proof of `mem_of_posSemidef` is based on the idea that any function f in the RKHS satisfies `<f,\sum_n K(\cdot,x_n)v_n>=\sum_{n} <f(x_n),v_n>` for `x_n\in X` and `v_n\in V` by the reproducing property. We define the operator L(\sum_n K(\cdot,x_n)v_n) = \sum_{n} <f(x_n),v_n>. This is bounded by the condition based on the kernels, and thus extends to a bounded linear operator on the RKHS. Its Riesz' representer agrees pointwise with f.
AI:
When asking how to avoid Classical.choose in constructing the operator L, Claude suggested the approach of going through the quotient. I made the proof using Claude as supplementary Loogle. Afterwards, I asked it to help shorted the proofs. Some suggestions for `mem_of_posSemidef` were applied. The other suggestions were not helping or not correct.
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t-analysis
new-contributor
|
135/3 |
Mathlib/Analysis/InnerProductSpace/Reproducing.lean |
1 |
33 |
['Maldooor', 'TJHeeringa', 'github-actions', 'j-loreaux', 'themathqueen'] |
j-loreaux assignee:j-loreaux |
0-6867 1 hour ago |
3-69397 3 days ago |
40-44706 40 days |
| 42533 |
attilavjda author:attilavjda |
chore(Analysis/SpecialFunctions/Pow/Real): deprecate six misnamed duplicate log/rpow lemmas |
6 `Pow/Real.lean` lemmas duplicate with misleading names, replace by deprecated aliases
Some of these deprecated lemmas names, or their intended proofs seem mixed up too, which could be updated perhaps after the deprecation period?
[Used Aristotle in making this PR. It found the duplicates, generated guidance, example code, and verifications.](https://github.com/attilavjda/formal-contributions/blob/main/analysis-rpow-dedup/RpowLogDedup.lean)
---
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t-analysis
new-contributor
|
6/20 |
Mathlib/Analysis/SpecialFunctions/Pow/Real.lean |
1 |
4 |
['attilavjda', 'github-actions', 'wwylele'] |
nobody |
0-6079 1 hour ago |
1-12154 1 day ago |
1-11937 1 day |
| 34487 |
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 the usefulness of 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`.
---
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t-algebra
new-contributor
large-import
label:t-algebra$ |
85/16 |
Mathlib/Geometry/Convex/Cone/Dual.lean,Mathlib/LinearAlgebra/Dual/Lemmas.lean,Mathlib/LinearAlgebra/PerfectPairing/Basic.lean,Mathlib/LinearAlgebra/SesquilinearForm/Basic.lean |
4 |
4 |
['github-actions', 'martinwintermath', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
joelriou assignee:joelriou |
0-1867 31 minutes ago |
0-1734 25 minutes ago |
13-77829 13 days |