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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 |
74-13697 2 months ago |
74-13776 74 days ago |
74-14214 74 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 |
68-67978 2 months ago |
193-85086 193 days ago |
193-85034 193 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 |
64-67979 2 months ago |
151-7434 151 days ago |
153-41668 153 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 |
61-17077 2 months ago |
61-17154 61 days ago |
123-55217 123 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 |
60-12631 1 month ago |
60-54941 60 days ago |
60-54889 60 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 |
3 |
['github-actions', 'plp127', 'vihdzp'] |
nobody |
54-79659 1 month ago |
60-66942 60 days ago |
60-66890 60 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 |
53-19440 1 month ago |
53-19805 53 days ago |
53-19753 53 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 |
52-67979 1 month ago |
85-78699 85 days ago |
118-41327 118 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 |
51-66138 1 month ago |
51-66138 51 days ago |
64-73838 64 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 |
49-33964 1 month ago |
49-34797 49 days ago |
49-35117 49 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 |
48-9330 1 month ago |
48-22417 48 days ago |
48-22820 48 days |
| 40274 |
gasparattila author:gasparattila |
chore(Order/Partition/Finpartition): deprecate `ofPairwiseDisjoint` |
This is a duplicate of `Finpartition.ofErase`.
---
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|
t-order |
8/16 |
Mathlib/MeasureTheory/VectorMeasure/Variation/Basic.lean,Mathlib/Order/Partition/Finpartition.lean |
2 |
2 |
['gasparattila', 'github-actions'] |
nobody |
47-44368 1 month ago |
50-82612 50 days ago |
50-82560 50 days |
| 40404 |
felixpernegger author:felixpernegger |
chore(MeasureTheory/Constructions/BorelSpace): remove some `erw`'s |
Extracted from #40348
---
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|
tech debt
t-order
t-measure-probability
|
27/6 |
Mathlib/MeasureTheory/Constructions/BorelSpace/Order.lean,Mathlib/Order/Interval/Set/Basic.lean,Mathlib/Order/OrderDual.lean |
3 |
1 |
['github-actions'] |
nobody |
47-29532 1 month ago |
47-32830 47 days ago |
47-32778 47 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 |
2 |
['github-actions'] |
nobody |
46-81130 1 month ago |
47-13512 47 days ago |
47-13460 47 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 |
46-74099 1 month ago |
46-74147 46 days ago |
46-74095 46 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 |
46-6919 1 month ago |
46-11996 46 days ago |
46-12037 46 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 |
45-14597 1 month ago |
45-15479 45 days ago |
45-16000 45 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 |
44-77292 1 month ago |
44-78728 44 days ago |
44-79209 44 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 |
44-67979 1 month ago |
96-72729 96 days ago |
96-73295 96 days |
| 40495 |
gw90 author:gw90 |
feat: weighted graphs with killing term |
Adding basic definitions and API for weighted graphs and weighted graphs with killing term.
---
My goal is to develop the basic theory from the beginning of [this textbook](https://www.math.uni-potsdam.de/fileadmin/user_upload/Prof-GraphTh/Keller/KellerLenzWojciechowski_GraphsAndDiscreteDirichletSpaces_wu_version.pdf). I also have some definitions and lemmas regarding Dirichlet forms and Laplacians to PR later, but I tried to pare down this first PR as much as possible. It currently has only 4 main definitions and sufficient API to demonstrate their correctness.
Note that I did not use [SimpleGraph.edgeLabeling](https://leanprover-community.github.io/mathlib4_docs/find/?pattern=SimpleGraph.EdgeLabeling#doc) for the edgeWeight function because it is important that vertices that are not adjacent have an edge weight of zero. That is, the edgeWeight must be defined for all pairs of vertices and respect the underlying adjacency relation on the graph.
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|
t-combinatorics
new-contributor
|
368/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Weighted/Basic.lean,docs/references.bib |
3 |
2 |
['github-actions'] |
nobody |
42-80907 1 month ago |
44-66542 44 days ago |
44-66490 44 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 |
41-54836 1 month ago |
41-58297 41 days ago |
41-58245 41 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).
---
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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 |
41-38121 1 month ago |
44-12545 44 days ago |
44-55459 44 days |
| 40531 |
tb65536 author:tb65536 |
feat(Combinatorics/Hypergraph/Coloring): define hypergraph colorings |
This PR defines hypergraph colorings and the chromatic index of a hypergraph.
---
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[](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 |
41-30460 1 month ago |
41-31333 41 days ago |
41-79414 41 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 |
41-13400 1 month ago |
41-14263 41 days ago |
41-14694 41 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 |
38-67334 1 month ago |
38-69384 38 days ago |
47-14580 47 days |
| 37183 |
dagurtomas author:dagurtomas |
feat(Tactic/CategoryTheory): map attribute |
Adding `@[map]` to a lemma named `H` of shape `∀ .., f = g`, where `f` and `g` are morphisms
in some category `C`, creates a new lemma named `H_map` of the form
`∀ .. {D} (func : C ⥤ D), F.map f = F.map g` and then applies
`simp only [Functor.map_comp, Functor.map_id]`.
---
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|
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 |
37-67972 1 month ago |
59-49608 59 days ago |
122-13535 122 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 |
37-53100 1 month ago |
37-55988 37 days ago |
37-55936 37 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 |
7 |
['felixpernegger', 'github-actions', 'jcreinhold'] |
nobody |
37-50719 1 month ago |
42-35791 42 days ago |
42-44213 42 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 |
3 |
['eric-wieser', 'felixpernegger', 'github-actions'] |
nobody |
37-28983 1 month ago |
38-4600 38 days ago |
38-6726 38 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 |
36-62814 1 month ago |
36-64972 36 days ago |
38-8350 38 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 |
34-83089 1 month ago |
34-84812 34 days ago |
35-2387 35 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 |
34-60454 1 month ago |
34-78479 34 days ago |
34-78625 34 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 |
172/0 |
Mathlib/RingTheory/DedekindDomain/Different.lean |
1 |
1 |
['github-actions'] |
nobody |
33-81887 1 month ago |
33-82721 33 days ago |
33-82669 33 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 |
33-67979 1 month ago |
79-12382 79 days ago |
130-10746 130 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 |
33-13197 1 month ago |
33-17898 33 days ago |
33-22199 33 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
|
16/0 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Operations.lean |
2 |
2 |
['github-actions'] |
nobody |
33-7123 1 month ago |
33-7977 33 days ago |
33-8587 33 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 label:t-algebra$ |
5/0 |
Mathlib/Algebra/Order/Group/Unbundled/Abs.lean |
1 |
10 |
['Vierkantor', 'bryangingechen', 'github-actions', 'mathlib-bors'] |
nobody |
32-53457 1 month ago |
32-53457 32 days ago |
32-53993 32 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 |
4 |
['bwangpj', 'github-actions', 'grunweg', 'wwylele'] |
nobody |
31-76099 1 month ago |
32-77848 32 days ago |
32-77796 32 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$ |
337/68 |
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 |
3 |
['eric-wieser', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
31-55972 1 month ago |
31-58309 31 days ago |
33-23935 33 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 |
31-39629 1 month ago |
31-41304 31 days ago |
37-85194 37 days |
| 41022 |
CoolRmal author:CoolRmal |
feat(Data/List): add TFAE lemmas for append and permutations |
This PR adds some `TFAE` lemmas in `Mathlib/Data/List/TFAE`: a sublist monotonicity lemma, an append criterion, and congruence under list permutations.
It also rewrites `tfae_cons_of_mem` as a specialization of the append lemma.
Created with the help of codex.
|
t-data |
28/10 |
Mathlib/Data/List/TFAE.lean |
1 |
3 |
['github-actions', 'themathqueen'] |
nobody |
31-6621 1 month ago |
31-39388 31 days ago |
31-39432 31 days |
| 41051 |
tb65536 author:tb65536 |
feat(FieldTheory/PolynomialGaloisGroup): add equivariant bijection between root sets |
Currently the bijection `rootsEquivRoots` between root sets of a polynomial that splits is not equivariant with respect to the action of the Galois group. This PR demotes the existing `rootsEquivRoots` to an auxilliary def `rootsEquivRootsAux` and adds an equivariant `rootsEquivRoots` in its place.
---
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t-algebra
t-ring-theory
label:t-algebra$ |
32/18 |
Mathlib/FieldTheory/PolynomialGaloisGroup.lean |
1 |
2 |
['github-actions', 'tb65536'] |
nobody |
30-78564 1 month ago |
30-84844 30 days ago |
30-84794 30 days |
| 41065 |
BryceT233 author:BryceT233 |
feat(Algebra/GroupWithZero/Associated): transfer `IsRelPrime` between associated elements |
This is a split of #41064 which adds lemmas transfering `IsRelPrime` property via associated elements.
---
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t-algebra label:t-algebra$ |
18/0 |
Mathlib/Algebra/GroupWithZero/Associated.lean |
1 |
1 |
['github-actions'] |
nobody |
30-41126 1 month ago |
30-43368 30 days ago |
30-43316 30 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/Data/ENat/Basic.lean,Mathlib/RingTheory/KrullDimension/Basic.lean |
2 |
1 |
['github-actions'] |
nobody |
30-26746 1 month ago |
30-28654 30 days ago |
30-28602 30 days |
| 41073 |
vlad902 author:vlad902 |
feat(RingTheory): characterizing lemma for rings of infinite Krull dimension |
Show that the Krull dimension of a ring R is infinite if and only if it has ideals of unbounded height.
---
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|
t-ring-theory |
21/0 |
Mathlib/Data/ENat/Basic.lean,Mathlib/RingTheory/Ideal/Height.lean |
2 |
1 |
['github-actions'] |
nobody |
30-26610 1 month ago |
30-28904 30 days ago |
30-29780 30 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 |
29-53149 29 days ago |
33-2975 33 days ago |
33-3008 33 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 |
29-45052 29 days ago |
29-45993 29 days ago |
30-42234 30 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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[](https://gitpod.io/from-referrer/)
|
t-order |
122/31 |
Mathlib/Order/Cover.lean,Mathlib/Order/SuccPred/Limit.lean,Mathlib/Order/WithBot.lean |
3 |
4 |
['SnirBroshi', 'github-actions', 'vihdzp'] |
nobody |
29-20280 29 days ago |
54-1577 54 days ago |
85-38943 85 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 |
29-20037 29 days ago |
63-16578 63 days ago |
63-80896 63 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 |
29-19967 29 days ago |
63-12476 63 days ago |
63-12723 63 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 |
28-77277 28 days ago |
43-79887 43 days ago |
43-80121 43 days |
| 40950 |
bwangpj author:bwangpj |
feat(LinearAlgebra): add Yang-Baxter equation and braided vector spaces |
Define braided vector spaces and the Yang–Baxter equation. |
t-algebra label:t-algebra$ |
121/0 |
Mathlib.lean,Mathlib/LinearAlgebra/TensorProduct/YangBaxter.lean |
2 |
3 |
['github-actions', 'themathqueen'] |
nobody |
28-68020 28 days ago |
33-21868 33 days ago |
33-21816 33 days |
| 41104 |
mbkybky author:mbkybky |
feat(Algebra/Module/Submodule/Pointwise): `u • N = N` if `u` is a unit |
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|
t-algebra label:t-algebra$ |
10/6 |
Mathlib/Algebra/Module/Submodule/Pointwise.lean |
1 |
2 |
['eric-wieser', 'github-actions'] |
nobody |
28-58960 28 days ago |
29-20439 29 days ago |
29-20387 29 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 |
27-73845 27 days ago |
27-76256 27 days ago |
27-78440 27 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 |
27-60658 27 days ago |
27-62148 27 days ago |
27-62177 27 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 |
26-63869 26 days ago |
36-83425 36 days ago |
36-83718 36 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 |
26-35083 26 days ago |
26-36929 26 days ago |
26-36877 26 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 |
25-70510 25 days ago |
25-71699 25 days ago |
25-71647 25 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 |
25-60321 25 days ago |
25-61686 25 days ago |
25-61634 25 days |
| 41223 |
YaelDillies author:YaelDillies |
feat(LInearAlgebra): predicate version of `mem_span_iff_linearCombination` |
This is necessary after #39582.
From Toric
---
There are *many* more lemmas that will need to be similarly duplicated to accommodate #39582. I personally think it is more reasonable to revert #39582.
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t-algebra
toric
label:t-algebra$ |
4/0 |
Mathlib/LinearAlgebra/Finsupp/LinearCombination.lean |
1 |
1 |
['github-actions'] |
nobody |
25-49703 25 days ago |
25-51842 25 days ago |
25-51790 25 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 |
25-25485 25 days ago |
25-25485 25 days ago |
25-25433 25 days |
| 35669 |
SnirBroshi author:SnirBroshi |
feat(Mathlib/Data/Finset/Mex): `sInf sᶜ ≤ s.encard` |
---
It's in a separate file because I couldn't find a sensible place with the required imports, not because "mex" is particularly interesting.
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|
t-order |
59/0 |
Mathlib.lean,Mathlib/Data/Finset/Mex.lean |
2 |
14 |
['SnirBroshi', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
25-16039 25 days ago |
25-16585 25 days ago |
29-18987 29 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 |
25-13125 25 days ago |
25-16167 25 days ago |
93-33765 93 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 |
158/0 |
Mathlib.lean,Mathlib/Geometry/Euclidean/Sphere/PolePolar.lean |
2 |
10 |
['Parcly-Taxel', 'github-actions', 'jsm28', 'kim-em', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'wwylele'] |
nobody |
24-64990 24 days ago |
24-65799 24 days ago |
121-6109 121 days |
| 41259 |
felixpernegger author:felixpernegger |
chore: remove redudant `nonrec`'s |
Remove all `nonrec` which are just not needed, about 9% of all `nonrec` occurences (tech debt)
---
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|
62/62 |
Mathlib/Algebra/Colimit/DirectLimit.lean,Mathlib/Algebra/GroupWithZero/WithZero.lean,Mathlib/AlgebraicGeometry/Cover/MorphismProperty.lean,Mathlib/AlgebraicGeometry/Morphisms/ClosedImmersion.lean,Mathlib/AlgebraicGeometry/Morphisms/Descent.lean,Mathlib/AlgebraicGeometry/Morphisms/QuasiFinite.lean,Mathlib/AlgebraicGeometry/Sites/SheafQuasiCompact.lean,Mathlib/Analysis/Calculus/Deriv/Comp.lean,Mathlib/Analysis/Calculus/Deriv/Star.lean,Mathlib/Analysis/Calculus/FDeriv/Basic.lean,Mathlib/Analysis/Calculus/FDeriv/WithLp.lean,Mathlib/Analysis/Complex/PhragmenLindelof.lean,Mathlib/Analysis/Complex/Trigonometric.lean,Mathlib/Analysis/Normed/Group/Quotient.lean,Mathlib/Analysis/SpecialFunctions/Pow/Deriv.lean,Mathlib/Computability/RecursiveIn.lean,Mathlib/Data/List/Basic.lean,Mathlib/Data/List/Cycle.lean,Mathlib/Data/NNReal/Defs.lean,Mathlib/Data/Rel/Cover.lean,Mathlib/Data/Rel/Separated.lean,Mathlib/Geometry/Euclidean/Inversion/Calculus.lean,Mathlib/Geometry/Manifold/ContMDiff/Constructions.lean,Mathlib/Geometry/Manifold/ContMDiff/NormedSpace.lean,Mathlib/LinearAlgebra/Multilinear/Basic.lean,Mathlib/MeasureTheory/Group/Arithmetic.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/Basic.lean,Mathlib/MeasureTheory/Measure/Decomposition/Lebesgue.lean,Mathlib/MeasureTheory/Measure/Lebesgue/Basic.lean,Mathlib/ModelTheory/Ultraproducts.lean,Mathlib/NumberTheory/BernoulliPolynomials.lean,Mathlib/Probability/Density.lean,Mathlib/Probability/Moments/Variance.lean,Mathlib/RingTheory/Flat/Basic.lean,Mathlib/RingTheory/Ideal/KrullsHeightTheorem.lean,Mathlib/RingTheory/Polynomial/Resultant/Basic.lean,Mathlib/Topology/Connected/PathConnected.lean,Mathlib/Topology/FiberBundle/Basic.lean,Mathlib/Topology/Filter.lean,Mathlib/Topology/Homotopy/Basic.lean,Mathlib/Topology/Instances/ENat.lean,Mathlib/Topology/MetricSpace/MetricSeparated.lean,Mathlib/Topology/MetricSpace/Pseudo/Basic.lean,Mathlib/Topology/Order/LocalExtr.lean |
44 |
3 |
['felixpernegger', 'github-actions', 'leanprover-radar'] |
nobody |
24-64740 24 days ago |
24-71844 24 days ago |
24-71792 24 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 |
24-61735 24 days ago |
24-62236 24 days ago |
51-74687 51 days |
| 41273 |
SnirBroshi author:SnirBroshi |
feat(Order/ConditionallyCompleteLattice): antitone versions of `sSup (f '' s)` lemmas |
`f (sInf s) = sSup (f '' s)` and `f (sSup s) = sInf (f '' s)` for an antitone function and a finite nonempty set.
Matches the existing monotone lemmas.
---
Followup to #35822
I think the `Basic.lean` lemmas don't hold for `{Mono/Anti}toneOn f s`, but the `Finset.lean` lemmas should, though I haven't done that yet.
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t-order |
39/19 |
Mathlib/Order/ConditionallyCompleteLattice/Basic.lean,Mathlib/Order/ConditionallyCompleteLattice/Finset.lean |
2 |
1 |
['github-actions'] |
nobody |
24-57908 24 days ago |
24-60529 24 days ago |
24-60477 24 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 |
1 |
['github-actions'] |
nobody |
24-28431 24 days ago |
24-29826 24 days ago |
24-29774 24 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 |
24-541 24 days ago |
24-21599 24 days ago |
24-21547 24 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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|
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 |
23-85308 23 days ago |
25-23486 25 days ago |
25-23434 25 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 |
23-67932 23 days ago |
80-57526 80 days ago |
80-58235 80 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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[](https://gitpod.io/from-referrer/)
|
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'] |
nobody |
23-62786 23 days ago |
23-63900 23 days ago |
39-83842 39 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 |
23-42489 23 days ago |
25-318 25 days ago |
25-817 25 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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- [ ] depends on: #30981
- [ ] depends on: #30982
- [ ] depends on: #31205
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- [ ] depends on: #32021
- [ ] depends on: #32259
- [ ] depends on: #32260
- [ ] depends on: #32270
- [ ] depends on: #32273
- [ ] depends on: #32278
[](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 |
23-33675 23 days ago |
23-33967 23 days ago |
121-1091 121 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 |
23-32958 23 days ago |
23-35674 23 days ago |
23-35622 23 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 |
23-15183 23 days ago |
23-16547 23 days ago |
23-16495 23 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 |
23-10502 23 days ago |
23-75713 23 days ago |
23-80065 23 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 |
22-69510 22 days ago |
22-70030 22 days ago |
22-69978 22 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 |
22-66197 22 days ago |
22-68452 22 days ago |
22-68400 22 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 |
22-42696 22 days ago |
22-42696 22 days ago |
22-53379 22 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 |
22-37765 22 days ago |
22-38354 22 days ago |
22-38302 22 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 |
22-36910 22 days ago |
22-37717 22 days ago |
28-35354 28 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
|
30/15 |
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 |
7 |
11 |
['JovanGerb', 'github-actions', 'grunweg', 'leanprover-radar', 'riccardobrasca'] |
nobody |
22-25784 22 days ago |
33-23681 33 days ago |
33-24436 33 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 |
22-13279 22 days ago |
22-14202 22 days ago |
29-20673 29 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 |
21-74675 21 days ago |
22-12866 22 days ago |
22-12814 22 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 |
21-74438 21 days ago |
21-75016 21 days ago |
21-74964 21 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 |
21-72185 21 days ago |
21-72232 21 days ago |
21-72181 21 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`.
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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 |
21-66157 21 days ago |
21-66202 21 days ago |
21-66151 21 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 |
21-57931 21 days ago |
21-58486 21 days ago |
39-72607 39 days |
| 41379 |
tb65536 author:tb65536 |
chore(RingTheory/*): remove domain assumptions by generalizing from torsion free to faithful smul |
This PR removes some `IsDomain` assumptions by generalizing `Module.IsTorsionFree` to `FaithfulSMul`.
(As @SnirBroshi pointed out in the comments, this is not quite a generalization when the top ring is the zero ring, but this never arises in practice).
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t-ring-theory
t-algebra
label:t-algebra$ |
7/7 |
Mathlib/RingTheory/Conductor.lean,Mathlib/RingTheory/Ideal/Maps.lean,Mathlib/RingTheory/Ideal/Over.lean |
3 |
3 |
['SnirBroshi', 'github-actions', 'tb65536'] |
nobody |
21-44203 21 days ago |
21-63776 21 days ago |
21-63725 21 days |
| 40829 |
FrankieNC author:FrankieNC |
feat(MeasureTheory): eLpNorm bound for a convex combination of functions |
Adds `eLpNorm_sum_smul_le`: if `w i ≥ 0` for `i ∈ s`, `∑ i ∈ s, w i = 1`, and each `eLpNorm (h i) 1 μ ≤ B`, then `eLpNorm (∑ i ∈ s, w i • h i) 1 μ ≤ B`. In other words, a convex combination of functions whose `L¹`-seminorms are bounded by `B` again has `L¹`-seminorm at most `B`. |
t-measure-probability
brownian
|
18/1 |
Mathlib/MeasureTheory/Function/LpSeminorm/TriangleInequality.lean |
1 |
6 |
['CoolRmal', 'EtienneC30', 'FrankieNC', 'github-actions'] |
EtienneC30 assignee:EtienneC30 |
21-26087 21 days ago |
21-26789 21 days ago |
33-45977 33 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 |
1 |
['github-actions'] |
nobody |
21-4340 21 days ago |
21-6865 21 days ago |
21-6813 21 days |
| 41194 |
RemyDegenne author:RemyDegenne |
feat: define `riskIncrease` (statistical information) |
This PR adds a measure of the information in a statistical experiment: the increase of risk that follows from discarding the result of the experiment.
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|
t-measure-probability |
139/0 |
Mathlib.lean,Mathlib/Probability/Decision/RiskIncrease.lean,docs/references.bib |
3 |
1 |
['github-actions'] |
kex-y assignee:kex-y |
20-68874 20 days ago |
26-25945 26 days ago |
26-26037 26 days |
| 41225 |
kebekus author:kebekus |
feat: tag circle integrability as fun_prop |
On a suggestion of @j-loreaux, tag circle integrability as `fun_prop` to aid proof automatization.
Note: Experiments show that much of the automatization benefit is realized only if `MeromorphicOn` will also become `fun_prop`. This is out of scope here, but will be addressed in a follow-up PR.
Disclaimer: Clode Code was used in the preparation of this PR.
---
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t-measure-probability |
52/6 |
Mathlib/Analysis/Complex/ValueDistribution/Proximity/Basic.lean,Mathlib/Analysis/SpecialFunctions/Integrability/LogMeromorphic.lean,Mathlib/Analysis/SpecialFunctions/Integrals/PosLogEqCircleAverage.lean,Mathlib/MeasureTheory/Integral/CircleIntegral.lean |
4 |
1 |
['github-actions'] |
RemyDegenne assignee:RemyDegenne |
20-68873 20 days ago |
25-47993 25 days ago |
25-47941 25 days |
| 40347 |
thorimur author:thorimur |
perf(Mathlib.Tactic.Linter.Header): different implementation for header linter |
This PR tries a different implementation strategy for the header linter: identify whether we're linting the first command by parsing the file header quickly, seeing where the final position for the parse lands, and seeing if the current command's start position (stored in the `CommandElabM` context) matches that position. Then, check if the first command is a module doc (or an exempted command) just by looking at the current syntax's kind.
While this does still parse the imports on every command, it does less parsing than the previous implementation.
This reduces interpretation wall-clock by over 10% (at least on the radar machines).
This also changes the behavior slightly:
- adds backticks in messages instead of quotes
- now allows `set_option ... in` before the module docstring
There's still room for improvement: in the future we could try to figure out an interactive-safe cache for the end position of the header (somewhat tricky) and update the string functions to use the new string slice API. (The first part might be easier after some upcoming linting framework changes.)
My guess for why this seems to improve the performance in apparently unrelated metrics is that it reduces pressure on the async computations overall, but to be honest, I'm not sure.
---
Note: happy to make it so that `set_option ... in` cannot now precede the module docstring. This is mostly a matter of where `withSetOptionIn` is.
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|
t-linter |
125/192 |
Mathlib/Tactic/Linter/Header.lean,MathlibTest/DirectoryDependencyLinter/Test.lean,MathlibTest/Linter/Header/Basic.lean,MathlibTest/Linter/Header/Fail.lean |
4 |
44 |
['JovanGerb', 'github-actions', 'grunweg', 'leanprover-radar', 'mathlib-merge-conflicts', 'thorimur'] |
JovanGerb assignee:JovanGerb |
20-13312 20 days ago |
20-16575 20 days ago |
41-13709 41 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
|
97/24 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/CycleGraph.lean,Mathlib/Combinatorics/SimpleGraph/Hasse.lean,Mathlib/Data/Fintype/Defs.lean |
4 |
18 |
['Formalistic03', 'SnirBroshi', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
20-331 20 days ago |
20-3453 20 days ago |
33-69765 33 days |
| 39722 |
kg583 author:kg583 |
feat(Combinatorics): link `Nat.Partition` to `YoungDiagram` |
---
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|
t-combinatorics
new-contributor
large-import
|
111/4 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/Partition/Basic.lean,Mathlib/Combinatorics/Enumerative/Partition/YoungDiagram.lean,Mathlib/Combinatorics/Young/YoungDiagram.lean |
4 |
48 |
['NoahW314', 'YaelDillies', 'github-actions', 'kg583', 'wwylele'] |
YaelDillies assignee:YaelDillies |
19-84562 19 days ago |
19-84562 19 days ago |
54-79427 54 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 |
19-82943 19 days ago |
19-84610 19 days ago |
19-86005 19 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
|
571/1 |
Mathlib.lean,Mathlib/Analysis/LaplaceTransform.lean,Mathlib/MeasureTheory/Function/StronglyMeasurable/AEStronglyMeasurable.lean,Mathlib/MeasureTheory/Group/Measure.lean,Mathlib/MeasureTheory/Integral/ExpDecay.lean |
5 |
3 |
['github-actions'] |
CoolRmal assignee:CoolRmal |
19-68872 19 days ago |
42-54737 42 days ago |
42-62541 42 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 |
255/0 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/GramSchmidtOrtho.lean,Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Analysis/Matrix/HadamardInequality.lean,Mathlib/LinearAlgebra/Matrix/HadamardMatrix.lean |
5 |
2 |
['github-actions', 'wwylele'] |
CoolRmal assignee:CoolRmal |
19-68870 19 days ago |
39-79609 39 days ago |
39-79557 39 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 |
19-43886 19 days ago |
20-71379 20 days ago |
20-71327 20 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 |
19-34012 19 days ago |
25-84182 25 days ago |
25-84131 25 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 |
19-33509 19 days ago |
20-39462 20 days ago |
20-39871 20 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 |
19-26894 19 days ago |
29-1059 29 days ago |
49-86053 49 days |
| 41449 |
EzequielS2 author:EzequielS2 |
feat(Topology/ContinuousMap): domMulAct action on C(X, Y) |
## Summary
- Define the action of `Mᵈᵐᵃ` on `C(α, β)` when `M` acts continuously on `α`.
- Add `SMul`, `MulAction`, `SMulCommClass`, and `ContinuousSMul` instances.
- Closes #5379.
## Test plan
- [x] `lake build Mathlib.Topology.ContinuousMap.DomAct`
- [x] `lake exe runLinter Mathlib.Topology.ContinuousMap.DomAct`
|
t-topology
new-contributor
|
101/0 |
Mathlib.lean,Mathlib/Topology/ContinuousMap/DomAct.lean |
2 |
3 |
['github-actions'] |
nobody |
19-11690 19 days ago |
19-12395 19 days ago |
19-12343 19 days |
| 41454 |
EzequielS2 author:EzequielS2 |
feat(Topology/ContinuousMap): domMulAct action on bounded continuous maps |
## Summary
- Define the action of `Mᵈᵐᵃ` on bounded continuous functions `α →ᵇ β`.
- Add basic instances and simp lemmas.
## Dependency
Depends on #41449. I will rebase onto `master` after that PR merges.
## Test plan
- [x] `lake build Mathlib.Topology.ContinuousMap.Bounded.DomAct`
- [x] `lake exe runLinter Mathlib.Topology.ContinuousMap.Bounded.DomAct`
|
new-contributor
t-topology
|
184/0 |
Mathlib.lean,Mathlib/Topology/ContinuousMap/Bounded/DomAct.lean,Mathlib/Topology/ContinuousMap/DomAct.lean |
3 |
2 |
['github-actions'] |
nobody |
19-7172 19 days ago |
19-9379 19 days ago |
19-9327 19 days |
| 41450 |
chenson2018 author:chenson2018 |
chore: remove uses of `Subrelation` |
Following up on the description of #40792, this removes additional uses of `Subrelation` now that #30526 has been merged.
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t-logic |
19/20 |
Mathlib/Logic/Relation.lean |
1 |
1 |
['github-actions'] |
nobody |
19-6406 19 days ago |
19-10196 19 days ago |
19-10144 19 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 |
17/0 |
Mathlib/Data/List/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
19-4344 19 days ago |
19-7148 19 days ago |
19-7096 19 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 |
18-83648 18 days ago |
18-85538 18 days ago |
18-85486 18 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'] |
CoolRmal assignee:CoolRmal |
18-68875 18 days ago |
45-23176 45 days ago |
50-7166 50 days |
| 40250 |
mcdoll author:mcdoll |
feat(Dynamics): add `Homeomorph.flow` |
Define the discrete flow by iterating a homeomorphism.
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|
t-dynamics |
29/0 |
Mathlib/Dynamics/Flow.lean |
1 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
urkud assignee:urkud |
18-68873 18 days ago |
34-41511 34 days ago |
34-41459 34 days |
| 40296 |
RemyDegenne author:RemyDegenne |
feat: define `HasCoveringExponent` |
This PR adds a definition `HasCoveringExponent`, that states that a set has a covering number that satisfies a certain bound at all scales.
---
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|
t-topology
brownian
t-measure-probability
|
97/0 |
Mathlib.lean,Mathlib/Topology/MetricSpace/CoveringExponent.lean |
2 |
1 |
['github-actions'] |
CoolRmal assignee:CoolRmal |
18-68870 18 days ago |
50-17577 50 days ago |
50-17525 50 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 |
4 |
['github-actions', 'smmercuri'] |
riccardobrasca assignee:riccardobrasca |
18-68866 18 days ago |
38-80676 38 days ago |
38-80625 38 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 |
18-68227 18 days ago |
19-5997 19 days ago |
19-5945 19 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 |
18-67040 18 days ago |
19-369 19 days ago |
19-317 19 days |
| 41473 |
CoolRmal author:CoolRmal |
feat(MeasureTheory): prove regular measures have conull support |
This PR proves in `MeasureTheory.Measure.Support` that any measure which is compact-inner-regular on open sets has conull support. It also records the consequences for `[μ.InnerRegular]` on spaces with `[OpensMeasurableSpace X]` and for `[μ.Regular]`.
It first proves compact subsets of `μ.supportᶜ` have measure zero, then applies `InnerRegularWRT IsCompact IsOpen`. The inner-regular and regular statements are corollaries.
Created with the help of codex.
|
t-measure-probability |
38/2 |
Mathlib/MeasureTheory/Measure/Support.lean |
1 |
1 |
['github-actions'] |
urkud assignee:urkud |
18-65843 18 days ago |
18-74273 18 days ago |
18-74221 18 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 |
18-55553 18 days ago |
25-14585 25 days ago |
25-70238 25 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 |
18-52054 18 days ago |
18-53368 18 days ago |
18-55437 18 days |
| 40957 |
kebekus author:kebekus |
feat: characterize mermorphic functions with finite set of poles in terms of logarithmic counting function |
Deliver on an open TODO. showing that a meromorphic function has a finite set of poles if and only if its logarithmic counting function is big-O of log. This material will later be used to characterize rational and algebraic functions among all meromorphic functions in terms of their characteristic (a.k.a. Nevanlinna height)
Claude Code was used in the preparation of this PR.
---
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|
t-analysis |
120/17 |
Mathlib/Analysis/Asymptotics/Defs.lean,Mathlib/Analysis/Calculus/ContDiff/FaaDiBruno.lean,Mathlib/Analysis/Complex/ValueDistribution/LogCounting/Asymptotic.lean,Mathlib/Analysis/Distribution/TemperateGrowth.lean,Mathlib/Analysis/Polynomial/Basic.lean,Mathlib/NumberTheory/ModularForms/Bounds.lean,Mathlib/NumberTheory/ModularForms/NormTrace.lean,Mathlib/Topology/LocallyFinsupp.lean |
8 |
14 |
['github-actions', 'j-loreaux', 'kebekus'] |
urkud assignee:urkud |
18-49924 18 days ago |
18-49924 18 days ago |
32-80201 32 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 |
18-41700 18 days ago |
18-44659 18 days ago |
18-47393 18 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 |
18-38966 18 days ago |
18-38969 18 days ago |
18-38917 18 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'] |
chrisflav and joneugster assignee:joneugster assignee:chrisflav |
18-33602 18 days ago |
18-34155 18 days ago |
65-34249 65 days |
| 36346 |
kckennylau author:kckennylau |
chore: add simp lemma to unfold Algebra.algHom |
```lean
@[simp] lemma Algebra.coe_algHom : ⇑(Algebra.algHom R A B) = algebraMap A B := rfl
```
---
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|
t-algebra label:t-algebra$ |
6/2 |
Mathlib/Algebra/Algebra/Hom.lean,Mathlib/RingTheory/Etale/StandardEtale.lean |
2 |
9 |
['acmepjz', 'artie2000', 'github-actions', 'kckennylau', 'mathlib-merge-conflicts', 'ocfnash'] |
ocfnash assignee:ocfnash |
18-29941 18 days ago |
18-33009 18 days ago |
44-55054 44 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 |
18-26981 18 days ago |
18-80618 18 days ago |
19-22947 19 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 |
18-24149 18 days ago |
23-42494 23 days ago |
23-42484 23 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 |
18-14401 18 days ago |
18-14401 18 days ago |
34-56626 34 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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|
9/0 |
Mathlib/Order/Basic.lean,MathlibTest/Tactic/GRewrite.lean |
2 |
1 |
['github-actions'] |
nobody |
18-12343 18 days ago |
18-15800 18 days ago |
18-15748 18 days |
| 41512 |
teorth author:teorth |
feat (Order/Interval/Finset/Floor): Relating membership of an Int or Nat cast in intervals to intervals of floor and ceil functions |
For a `FloorRing` (resp. `FloorSemiring`) `α`, we relate membership of a cast `↑n` in an interval
of `α` to membership of the integer (resp. natural number) `n` in the corresponding interval with
floor/ceil endpoints, for instance `Int.coe_mem_Ioc_iff : ↑n ∈ Set.Ioc a b ↔ n ∈ Set.Ioc ⌊a⌋ ⌊b⌋`.
If the right-hand side is finite, we express them as `Finset` instead.
---
AI was used to extend a small initial set of human-generated lemmas to the full set in this PR, which were then reviewed and edited by myself.
This code is placed in a new file because the core `Algebra.Order.Floor` files explicitly disallow the use of `Finset`.
[](https://gitpod.io/from-referrer/)
|
t-order |
85/0 |
Mathlib.lean,Mathlib/Order/Interval/Finset/Floor.lean |
2 |
2 |
['github-actions'] |
nobody |
18-15 18 days ago |
18-1646 18 days ago |
18-1594 18 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`.
---
A new file needed to be created because many files downstream of this file 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 |
71/0 |
Mathlib.lean,Mathlib/Topology/MetricSpace/HeineCantor.lean |
2 |
2 |
['github-actions'] |
nobody |
17-79487 17 days ago |
17-81074 17 days ago |
17-81123 17 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
|
409/0 |
Mathlib.lean,Mathlib/Topology/EMetricSpace/RVariation.lean |
2 |
4 |
['felixpernegger', 'github-actions', 'mathlib-merge-conflicts'] |
fpvandoorn assignee:fpvandoorn |
17-78208 17 days ago |
17-79293 17 days ago |
101-38609 101 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'] |
CoolRmal assignee:CoolRmal |
17-68870 17 days ago |
23-42441 23 days ago |
23-42895 23 days |
| 41322 |
RemyDegenne author:RemyDegenne |
feat: variants of `Measurable.oneLePart` and related lemmas |
This PR does 3 things:
- add lemmas about measurability of `oneLePart`, `leOnePart`, `posPart` and `negPart` of functions
- generalize the existing lemmas from `Group` to `DivInvMonoid` (and `AddGroup` to `SubNegMonoid`, which covers `EReal`).
- use notation for those positive and negative parts instead of their full names.
---
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|
t-measure-probability |
38/15 |
Mathlib/MeasureTheory/Order/Group/Lattice.lean |
1 |
1 |
['github-actions'] |
kex-y assignee:kex-y |
17-68869 17 days ago |
23-29486 23 days ago |
23-29434 23 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 |
17-67980 17 days ago |
81-75165 81 days ago |
81-75113 81 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 |
1 |
['github-actions'] |
nobody |
17-58304 17 days ago |
17-58304 17 days ago |
17-58252 17 days |
| 41098 |
vlad902 author:vlad902 |
feat(RingTheory): krull dimension of a polynomial ring in an infinite number of variables |
Add a simp lemma that `dim(R[X_1, ...]) = ∞` and also derive an ENat-valued lemma that `dim(R[X_s]) = dim(R) + card(X_s)`. Note that I keep the original lemma for finite index sets as @[simp] since this is likely to be the more common case in practice.
---
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|
t-ring-theory |
30/1 |
Mathlib/Data/ENat/Basic.lean,Mathlib/RingTheory/KrullDimension/NonZeroDivisors.lean,Mathlib/RingTheory/KrullDimension/Polynomial.lean |
3 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
17-44249 17 days ago |
17-46281 17 days ago |
29-4726 29 days |
| 41293 |
riccardobrasca author:riccardobrasca |
feat: add WeierstrassCurve.exists_variableChange_lift |
We add `WeierstrassCurve.exists_variableChange_lift`, a variable change over the fraction field between integral Weierstrass equations descends to the
base ring if its `u` coefficient descends to a unit of the base ring.
---
A first version of the code has been generated by Claude, but it has gone through extensive review by me before opening the PR.
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|
t-algebraic-geometry |
45/0 |
Mathlib/AlgebraicGeometry/EllipticCurve/Reduction.lean |
1 |
2 |
['Multramate', 'github-actions'] |
Multramate assignee:Multramate |
17-43506 17 days ago |
17-44062 17 days ago |
18-36012 18 days |
| 41154 |
sgouezel author:sgouezel |
feat: the variation of a Stieltjes vector measure |
---
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|
t-measure-probability |
338/3 |
Mathlib/MeasureTheory/VectorMeasure/BoundedVariation.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Basic.lean |
2 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
EtienneC30 assignee:EtienneC30 |
17-40541 17 days ago |
17-41940 17 days ago |
26-77296 26 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 |
17-39584 17 days ago |
20-39478 20 days ago |
20-40837 20 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 |
17-38165 17 days ago |
33-18338 33 days ago |
33-18287 33 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 |
17-35608 17 days ago |
82-40822 82 days ago |
122-36120 122 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 |
17-33415 17 days ago |
17-35669 17 days ago |
17-59352 17 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 |
17-32783 17 days ago |
17-33358 17 days ago |
19-65192 19 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'] |
nobody |
17-31735 17 days ago |
49-16972 49 days ago |
49-17162 49 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 |
17-27768 17 days ago |
18-14439 18 days ago |
18-14387 18 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 |
17-11398 17 days ago |
17-14473 17 days ago |
17-14421 17 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 |
17-10083 17 days ago |
27-75201 27 days ago |
27-75149 27 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 |
17-8732 17 days ago |
17-11175 17 days ago |
17-18900 17 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 |
17-6592 17 days ago |
19-46906 19 days ago |
19-46854 19 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 |
17-5528 17 days ago |
17-6261 17 days ago |
17-6209 17 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'] |
mattrobball assignee:mattrobball |
16-84074 16 days ago |
17-12285 17 days ago |
35-85839 35 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$ |
109/3 |
Mathlib.lean,Mathlib/LinearAlgebra/Dimension/Algebraic.lean,Mathlib/LinearAlgebra/Dimension/Free.lean |
3 |
5 |
['ChiCubed', 'eric-wieser', 'github-actions', 'themathqueen'] |
nobody |
16-80625 16 days ago |
16-82166 16 days ago |
46-47722 46 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 |
16-71095 16 days ago |
16-73415 16 days ago |
16-73363 16 days |
| 41085 |
chrisflav author:chrisflav |
feat(CategoryTheory): stalks of a presheaf on an indiscrete topological space |
---
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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'] |
robin-carlier assignee:robin-carlier |
16-68873 16 days ago |
29-84395 29 days ago |
29-85499 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 |
16-67976 16 days ago |
123-37748 123 days ago |
142-29657 142 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'] |
mattrobball assignee:mattrobball |
16-60050 16 days ago |
45-57673 45 days ago |
67-15173 67 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 |
98/228 |
Mathlib/Order/Bounds/Basic.lean,Mathlib/Order/ConditionallyCompleteLattice/Basic.lean,Mathlib/Order/ConditionallyCompleteLattice/Defs.lean |
3 |
1 |
['github-actions'] |
nobody |
16-55684 16 days ago |
16-58810 16 days ago |
16-58758 16 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 |
16-54690 16 days ago |
16-57853 16 days ago |
16-57801 16 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 |
16-25831 16 days ago |
16-26699 16 days ago |
18-26756 18 days |
| 41565 |
grunweg author:grunweg |
chore: specify doc-strings of auto-generated additive declarations di… |
…rectly
There's no need for add_decl_doc any more.
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|
64/107 |
Mathlib/Algebra/Category/Grp/Basic.lean,Mathlib/Algebra/Group/Action/Basic.lean,Mathlib/Algebra/Group/Action/Defs.lean,Mathlib/Algebra/Group/Action/Hom.lean,Mathlib/Algebra/Group/Hom/Basic.lean,Mathlib/Algebra/Group/Subsemigroup/Basic.lean,Mathlib/Algebra/Notation/Defs.lean,Mathlib/Algebra/Order/BigOperators/Group/Finset.lean,Mathlib/GroupTheory/Finiteness.lean,Mathlib/MeasureTheory/Group/Action.lean,Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean,Mathlib/Topology/Algebra/ConstMulAction.lean |
12 |
1 |
['github-actions'] |
nobody |
16-17256 16 days ago |
16-24479 16 days ago |
16-24427 16 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 |
16-1434 16 days ago |
16-3801 16 days ago |
16-4160 16 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 |
15-78310 15 days ago |
15-78364 15 days ago |
15-78313 15 days |
| 27451 |
kckennylau author:kckennylau |
feat(RingTheory/Valuation): define ball, closed ball, and sphere |
*From the 2025 Local Class Field Theory Workshop.*
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|
t-ring-theory |
27/0 |
Mathlib/RingTheory/Valuation/Basic.lean |
1 |
13 |
['JovanGerb', 'github-actions', 'kckennylau', 'mathlib4-merge-conflict-bot', 'pechersky', 'wwylele'] |
riccardobrasca assignee:riccardobrasca |
15-68882 15 days ago |
50-43371 50 days ago |
68-9278 68 days |
| 39585 |
chrisflav author:chrisflav |
chore(RingTheory): add `rfl` lemmas for `Ideal.quotientInfRingEquivPiQuotient` |
From Pi1.
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|
t-ring-theory |
11/0 |
Mathlib/RingTheory/Ideal/Quotient/Operations.lean |
1 |
2 |
['felixpernegger', 'github-actions'] |
riccardobrasca assignee:riccardobrasca |
15-68879 15 days ago |
68-10357 68 days ago |
68-10305 68 days |
| 41122 |
chrisflav author:chrisflav |
feat(CategoryTheory): torsors in a cartesian monoidal category |
We define a predicate `ModObj.IsTorsor`: A module object `X` with action by a monoid object `M` is a torsor for a Grothendieck topology `J` if `M` acts simply transitively on `X` and there exists a `J`-covering that trivializes `X`, i.e. after restricting to the cover, `X` admits a section.
We show that having a section is the same as being isomorphic to `M`.
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|
t-category-theory
large-import
|
206/7 |
Mathlib.lean,Mathlib/CategoryTheory/Monoidal/Cartesian/Mod.lean,Mathlib/CategoryTheory/Monoidal/Cartesian/Torsor.lean |
3 |
1 |
['github-actions'] |
robin-carlier assignee:robin-carlier |
15-68868 15 days ago |
28-34220 28 days ago |
28-35300 28 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 |
15-67979 15 days ago |
36-76437 36 days ago |
93-74841 93 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'] |
alreadydone and joneugster assignee:alreadydone assignee:joneugster |
15-67978 15 days ago |
64-60694 64 days ago |
64-60642 64 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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|
t-ring-theory |
2/2 |
Mathlib/RingTheory/DedekindDomain/Basic.lean,Mathlib/RingTheory/DedekindDomain/Dvr.lean |
2 |
1 |
['github-actions'] |
nobody |
15-62840 15 days ago |
15-63712 15 days ago |
15-63660 15 days |
| 41609 |
SnirBroshi author:SnirBroshi |
feat(Data/List/Dedup): `dedup` and `Nodup` lemmas |
---
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|
t-data |
16/0 |
Mathlib/Data/Finset/Card.lean,Mathlib/Data/Finset/Dedup.lean,Mathlib/Data/List/Dedup.lean |
3 |
1 |
['github-actions'] |
nobody |
15-55166 15 days ago |
15-57981 15 days ago |
15-57929 15 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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|
t-set-theory |
82/12 |
Mathlib/Data/Finset/Dedup.lean,Mathlib/SetTheory/Cardinal/NatCard.lean |
2 |
1 |
['github-actions'] |
nobody |
15-55008 15 days ago |
18-63441 18 days ago |
18-63389 18 days |
| 41617 |
joelriou author:joelriou |
feat(Order/Fin): conditions for `Fin.insertNth` to be monotone or strictly monotone |
---
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|
t-order |
102/0 |
Mathlib.lean,Mathlib/Order/Fin/InsertNth.lean |
2 |
1 |
['github-actions'] |
nobody |
15-26466 15 days ago |
15-27042 15 days ago |
15-26990 15 days |
| 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'] |
CoolRmal assignee:CoolRmal |
15-14893 15 days ago |
18-84339 18 days ago |
21-63094 21 days |
| 40865 |
TJHeeringa author:TJHeeringa |
refactor(Algebra/Module/Equiv): update name and refactor API ofLinearEquiv |
Change the name of `LinearEquiv.ofLinear` to `LinearEquiv.ofLinearMap` and change the API. This replaces `_apply` by `coe_`, introduces `_symm`, which makes `_symm_apply` and `_symm_toLinearMap` redundant, and changes `_toLinearMap` to `toLinearMap_`.
---
This PR is as discussed in https://github.com/leanprover-community/mathlib4/pull/40841#discussion_r3448504317 and https://github.com/leanprover-community/mathlib4/pull/40841#issuecomment-4762175719.
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|
t-algebra label:t-algebra$ |
114/97 |
Mathlib/Algebra/Category/ModuleCat/Basic.lean,Mathlib/Algebra/Category/ModuleCat/Semi.lean,Mathlib/Algebra/Colimit/Module.lean,Mathlib/Algebra/Module/CharacterModule.lean,Mathlib/Algebra/Module/Equiv/Basic.lean,Mathlib/Algebra/Module/Presentation/Basic.lean,Mathlib/Algebra/Star/Module.lean,Mathlib/Analysis/Normed/Operator/LinearIsometry.lean,Mathlib/LinearAlgebra/Contraction.lean,Mathlib/LinearAlgebra/DirectSum/TensorProduct.lean,Mathlib/LinearAlgebra/Dual/Lemmas.lean,Mathlib/LinearAlgebra/ExteriorPower/Basic.lean,Mathlib/LinearAlgebra/Finsupp/LinearCombination.lean,Mathlib/LinearAlgebra/Matrix/SpecialLinearGroup.lean,Mathlib/LinearAlgebra/Multilinear/DFinsupp.lean,Mathlib/LinearAlgebra/Pi.lean,Mathlib/LinearAlgebra/PiTensorProduct/Basic.lean,Mathlib/LinearAlgebra/PiTensorProduct/DFinsupp.lean,Mathlib/LinearAlgebra/PiTensorProduct/Dual.lean,Mathlib/LinearAlgebra/Projection.lean,Mathlib/LinearAlgebra/Quotient/Basic.lean,Mathlib/LinearAlgebra/TensorProduct/Associator.lean,Mathlib/LinearAlgebra/TensorProduct/Basic.lean,Mathlib/LinearAlgebra/TensorProduct/DirectLimit.lean,Mathlib/LinearAlgebra/TensorProduct/Graded/External.lean,Mathlib/LinearAlgebra/TensorProduct/Map.lean,Mathlib/LinearAlgebra/TensorProduct/Pi.lean,Mathlib/LinearAlgebra/TensorProduct/Prod.lean,Mathlib/LinearAlgebra/TensorProduct/Quotient.lean,Mathlib/LinearAlgebra/TensorProduct/Subalgebra.lean,Mathlib/LinearAlgebra/TensorProduct/Submodule.lean,Mathlib/LinearAlgebra/TensorProduct/Tower.lean,Mathlib/LinearAlgebra/Trace.lean,Mathlib/RepresentationTheory/Coinvariants.lean,Mathlib/RepresentationTheory/FiniteIndex.lean,Mathlib/RepresentationTheory/Homological/GroupHomology/LowDegree.lean,Mathlib/RingTheory/AdicCompletion/AsTensorProduct.lean,Mathlib/RingTheory/AdicCompletion/Functoriality.lean,Mathlib/RingTheory/Extension/Cotangent/Basis.lean,Mathlib/RingTheory/Flat/Equalizer.lean,Mathlib/RingTheory/IsTensorProduct.lean,Mathlib/RingTheory/Localization/Module.lean,Mathlib/RingTheory/MatrixAlgebra.lean,Mathlib/RingTheory/PicardGroup.lean |
44 |
24 |
['TJHeeringa', 'github-actions', 'j-loreaux', 'mathlib-bors', 'mathlib-merge-conflicts', 'themathqueen'] |
nobody |
14-84635 14 days ago |
15-25098 15 days ago |
29-68703 29 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'] |
joelriou assignee:joelriou |
14-68881 14 days ago |
52-12985 52 days ago |
52-14698 52 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'] |
jjdishere assignee:jjdishere |
14-67979 14 days ago |
36-13515 36 days ago |
61-5918 61 days |
| 41629 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Subgraph): `neighborSet` of `coe`/`spanningCoe` |
---
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t-combinatorics |
15/3 |
Mathlib/Combinatorics/SimpleGraph/Subgraph.lean |
1 |
1 |
['github-actions'] |
nobody |
14-60914 14 days ago |
14-61483 14 days ago |
14-61431 14 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 |
1 |
['github-actions'] |
nobody |
14-52685 14 days ago |
14-53270 14 days ago |
14-53218 14 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 |
14-50686 14 days ago |
14-51338 14 days ago |
14-51286 14 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 |
14-41134 14 days ago |
14-41134 14 days ago |
14-44303 14 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'] |
grunweg assignee:grunweg |
14-29271 14 days ago |
14-29271 14 days ago |
14-29219 14 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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- [x] depends on: #34907
- [x] depends on: #34909
[](https://gitpod.io/from-referrer/)
|
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'] |
b-mehta assignee:b-mehta |
14-26178 14 days ago |
14-85013 14 days ago |
40-33722 40 days |
| 41618 |
joelriou author:joelriou |
chore(Order/Relseries): cleaning up a proof |
---
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[](https://gitpod.io/from-referrer/)
|
t-order |
14/45 |
Mathlib/Order/RelSeries.lean |
1 |
3 |
['chenson2018', 'github-actions'] |
nobody |
14-19295 14 days ago |
14-21047 14 days ago |
15-26039 15 days |
| 41641 |
adomani author:adomani |
chore: add missing `to_additive` docstrings in GroupTheory |
Adds the missing additive doc-strings (multiplicative side has a hand-written doc-string, additive side did not) across 17 file(s) in **GroupTheory**.
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
|
68/33 |
Mathlib/GroupTheory/Congruence/Hom.lean,Mathlib/GroupTheory/Coset/Defs.lean,Mathlib/GroupTheory/CosetCover.lean,Mathlib/GroupTheory/Exponent.lean,Mathlib/GroupTheory/FinitelyPresentedGroup.lean,Mathlib/GroupTheory/FreeGroup/Basic.lean,Mathlib/GroupTheory/MonoidLocalization/Lemmas.lean,Mathlib/GroupTheory/Nilpotent.lean,Mathlib/GroupTheory/NoncommPiCoprod.lean,Mathlib/GroupTheory/OreLocalization/Basic.lean,Mathlib/GroupTheory/OreLocalization/OreSet.lean,Mathlib/GroupTheory/Perm/Cycle/Type.lean,Mathlib/GroupTheory/QuotientGroup/Defs.lean,Mathlib/GroupTheory/ResiduallyFinite.lean,Mathlib/GroupTheory/SpecificGroups/Cyclic.lean,Mathlib/GroupTheory/SpecificGroups/KleinFour.lean,Mathlib/GroupTheory/Submonoid/Center.lean |
17 |
1 |
['github-actions'] |
nobody |
14-18768 14 days ago |
14-18768 14 days ago |
14-18716 14 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 |
14-327 14 days ago |
14-327 14 days ago |
15-54977 15 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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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
37/49 |
Mathlib/Algebra/Order/GroupWithZero/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
13-79457 13 days ago |
13-81984 13 days ago |
13-81932 13 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 |
13-75911 13 days ago |
13-78754 13 days ago |
17-82097 17 days |
| 40345 |
imalinowskip author:imalinowskip |
feat(Probability): Cramér-Wold |
|
t-measure-probability
new-contributor
|
79/0 |
Mathlib.lean,Mathlib/Probability/CramerWold.lean |
2 |
33 |
['RemyDegenne', 'felixpernegger', 'github-actions', 'imalinowskip', 'mathlib-merge-conflicts', 'wwylele'] |
RemyDegenne assignee:RemyDegenne |
13-75065 13 days ago |
19-9378 19 days ago |
40-47804 40 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'] |
alreadydone assignee:alreadydone |
13-68881 13 days ago |
50-26553 50 days ago |
59-62521 59 days |
| 40613 |
LLaurance author:LLaurance |
feat(Probability): expectation of a binomial random variable |
---
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-->
[](https://gitpod.io/from-referrer/)
|
t-measure-probability |
16/1 |
Mathlib/Probability/Distributions/Binomial.lean |
1 |
1 |
['github-actions'] |
sgouezel assignee:sgouezel |
13-68880 13 days ago |
41-57111 41 days ago |
41-57059 41 days |
| 41339 |
mkaratarakis author:mkaratarakis |
feat(Tactic/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.
This is part 1 of a series splitting #41282 into ≤300-line PRs as requested by reviewers. The series builds up to a `CommRing` instance, an `AlgEquiv` with `Polynomial R`, division, and axiom-free reflection tactics (`poly_decide`, `poly_eval`, `poly_dvd`) whose `#print axioms` trust checks land in `MathlibTest/`.
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`).
🤖 Generated with [Claude Code](https://claude.com/claude-code)
|
t-meta |
201/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/ComputablePolynomial/Basic.lean |
3 |
2 |
['github-actions'] |
thorimur assignee:thorimur |
13-68877 13 days ago |
22-44549 22 days ago |
22-45032 22 days |
| 38908 |
CBirkbeck author:CBirkbeck |
feat(NumberTheory/ModularForms): API lemmas for level-1 graded ring |
Adds API lemmas extracted from #38813 to keep that PR reviewable: `DirectSum.of_eq_of_eq`, `DirectSum.of_eq_sub_add_smul`, `ModularForm.cast_apply`, `ModularForm.mul_ne_zero`, `ModularForm.sub_smul_isCuspForm`. |
LLM-generated |
28/0 |
Mathlib/NumberTheory/ModularForms/Basic.lean,Mathlib/NumberTheory/ModularForms/CuspFormSubmodule.lean,Mathlib/NumberTheory/ModularForms/QExpansion.lean |
3 |
7 |
['CBirkbeck', 'github-actions', 'mathlib-merge-conflicts', 'riccardobrasca'] |
nobody |
13-48432 13 days ago |
13-48974 13 days ago |
13-48922 13 days |
| 38909 |
CBirkbeck author:CBirkbeck |
feat(RingTheory/MvPolynomial/WeightedHomogeneous): sub, eq_zero_of_no_monomials, eq_monomial_of_unique_weight |
Adds the general-purpose API lemmas extracted from #38813 to keep that PR reviewable: `MvPolynomial.IsWeightedHomogeneous.sub`, `MvPolynomial.eq_zero_of_no_monomials`, `MvPolynomial.eq_monomial_of_unique_weight`, `MvPolynomial.monomial_fin_two`, `MvPolynomial.support_sub_monomial_sub_monomial`, `Finsupp.weight_eq_sum`, and the Finset inequality `Finset.sum_lt_sum_of_replace` (no mathlib equivalent exists — `prod_lt_prod_of_subset`-style lemmas need `s ⊆ t`).
_Prepared by Claude._
|
LLM-generated |
86/0 |
Mathlib/Algebra/MvPolynomial/Coeff.lean,Mathlib/Algebra/MvPolynomial/CommRing.lean,Mathlib/Algebra/Order/BigOperators/Group/Finset.lean,Mathlib/Data/Finsupp/Weight.lean,Mathlib/RingTheory/MvPolynomial/WeightedHomogeneous.lean |
5 |
5 |
['CBirkbeck', 'github-actions', 'riccardobrasca'] |
nobody |
13-46026 13 days ago |
13-48798 13 days ago |
13-48746 13 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 |
70 |
['CBirkbeck', 'adamtopaz', 'chrisflav', 'dagurtomas', 'faenuccio', 'github-actions', 'jjdishere', 'riccardobrasca'] |
alreadydone assignee:alreadydone |
13-41773 13 days ago |
13-42306 13 days ago |
98-15965 98 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 |
13-38871 13 days ago |
14-19472 14 days ago |
14-19420 14 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 |
13-28069 13 days ago |
13-30736 13 days ago |
13-30684 13 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'] |
joelriou assignee:joelriou |
13-27611 13 days ago |
76-10362 76 days ago |
76-10310 76 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 |
13-26961 13 days ago |
19-10295 19 days ago |
81-60726 81 days |
| 41645 |
adomani author:adomani |
chore: add missing `to_additive` docstrings in Combinatorics and Dynamics |
Adds the missing additive doc-strings (multiplicative side has a hand-written doc-string, additive side did not) across 5 file(s) in **Combinatorics and Dynamics**.
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 |
22/9 |
Mathlib/Combinatorics/Additive/FreimanHom.lean,Mathlib/Combinatorics/Hindman.lean,Mathlib/Combinatorics/SimpleGraph/Cayley.lean,Mathlib/Data/Finset/NoncommProd.lean,Mathlib/Dynamics/SymbolicDynamics/Basic.lean |
5 |
3 |
['b-mehta', 'github-actions'] |
nobody |
13-15425 13 days ago |
13-19193 13 days ago |
13-20982 13 days |
| 40692 |
pechersky author:pechersky |
feat(GroupTheory/Finite): torsion free and FG WithOne M is when M is |
Couldn't find a better place for these
---
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- [ ] depends on #40690 |
t-group-theory |
62/3 |
Mathlib/Algebra/Group/Hom/Defs.lean,Mathlib/Algebra/Group/Nat/Hom.lean,Mathlib/Algebra/Group/WithOne/Basic.lean,Mathlib/GroupTheory/MonoidLocalization/Finite.lean |
4 |
2 |
['github-actions'] |
nobody |
13-1120 13 days ago |
13-4603 13 days ago |
13-9237 13 days |
| 41647 |
adomani author:adomani |
chore: add missing `to_additive` docstrings (Normed, TransferInstance) |
Split out of #41642. These three additive doc-strings need closer review than a mechanical translation:
- `Analysis/Normed/Group/Constructions.lean` — `Prod.nnnorm_def'`/`Prod.nnnorm_mk'` (primed↔unprimed naming with `to_additive`; needs double-checking).
- `Analysis/Normed/Group/Continuity.lean` — `comap_norm_nhdsGT_zero'` (freshly worded additive doc-string).
- `Topology/Algebra/Module/TransferInstance.lean` — `ContinuousMulEquiv.isTopologicalGroup` (the pre-existing multiplicative doc-string already reads as additive — likely needs fixing on both sides).
🤖 Generated with [Claude Code](https://claude.com/claude-code) |
t-topology
LLM-generated
|
9/5 |
Mathlib/Analysis/Normed/Group/Constructions.lean,Mathlib/Analysis/Normed/Group/Continuity.lean,Mathlib/Topology/Algebra/Module/TransferInstance.lean |
3 |
10 |
['adomani', 'github-actions', 'grunweg'] |
grunweg assignee:grunweg |
12-83262 12 days ago |
12-83262 12 days ago |
13-74901 13 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 |
12-82045 12 days ago |
16-6061 16 days ago |
16-6009 16 days |
| 41654 |
adomani author:adomani |
chore: rename `QuotientAddGroup.mk_out_eq_mul` to `mk_out_eq_add` |
The additive lemma states `(mk g).out = g + h`, so by the `to_additive` naming convention its name should end in `add`, not `mul`. Renames it to `QuotientAddGroup.mk_out_eq_add` (a copy-paste error inherited from mathlib3) and deprecates the old name. |
LLM-generated
t-group-theory
|
4/1 |
Mathlib/GroupTheory/Coset/Defs.lean |
1 |
2 |
['adomani', 'github-actions'] |
nobody |
12-80645 12 days ago |
12-83028 12 days ago |
12-84534 12 days |
| 40689 |
pechersky author:pechersky |
feat(Algebra/Group/WithOne): isFooCancel when source is |
requires that source has no idempotent elements
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
37/0 |
Mathlib/Algebra/Group/WithOne/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
12-80517 12 days ago |
39-62269 39 days ago |
39-62228 39 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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[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
120/75 |
Mathlib/RingTheory/FormalGroup/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
12-79260 12 days ago |
12-80345 12 days ago |
12-80293 12 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 |
12-78788 12 days ago |
14-30864 14 days ago |
14-30812 14 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 |
12-78477 12 days ago |
13-31322 13 days ago |
14-31136 14 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'] |
mattrobball assignee:mattrobball |
12-68879 12 days ago |
38-15538 38 days ago |
83-65803 83 days |
| 39078 |
fpvandoorn author:fpvandoorn |
feat: add lemmas about products over Finset.Iio |
* Mostly useful for `ℕ`
* I added the `Finset.Iic` lemmas by symmetry, but I'm happy to remove them if we think they are redundant.
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
29/0 |
Mathlib/Algebra/Order/BigOperators/Group/LocallyFinite.lean |
1 |
1 |
['github-actions'] |
joelriou assignee:joelriou |
12-68878 12 days ago |
79-25826 79 days ago |
79-25774 79 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.
<!-- Your PR title will become the first line of the commit message.
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|
t-combinatorics |
15/10 |
Mathlib/Combinatorics/SimpleGraph/Finite.lean |
1 |
1 |
['github-actions'] |
nobody |
12-62090 12 days ago |
12-62664 12 days ago |
12-63147 12 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 |
12-57541 12 days ago |
12-58109 12 days ago |
13-62347 13 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 |
12-44885 12 days ago |
17-45612 17 days ago |
19-64019 19 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 |
12-43454 12 days ago |
12-44060 12 days ago |
12-44008 12 days |
| 41082 |
wrenna-robson author:wrenna-robson |
feat(Logic/Function/Defs): add `Function.diag` |
Adds a name for the function `fun x => (x, x)`.
---
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|
t-logic |
82/50 |
Mathlib/Data/Finset/Prod.lean,Mathlib/Data/Int/Cast/Prod.lean,Mathlib/Data/Nat/Cast/Prod.lean,Mathlib/Data/Set/Prod.lean,Mathlib/Logic/Function/Defs.lean,Mathlib/MeasureTheory/MeasurableSpace/Constructions.lean,Mathlib/NumberTheory/Height/Basic.lean,Mathlib/Order/Filter/Prod.lean,Mathlib/Probability/Independence/Conditional.lean,Mathlib/Probability/Kernel/Basic.lean,Mathlib/Probability/Kernel/Composition/MeasureComp.lean,Mathlib/Probability/Kernel/Composition/MeasureCompProd.lean,Mathlib/Probability/Kernel/Condexp.lean,Mathlib/Probability/Kernel/Deterministic.lean,Mathlib/Probability/Moments/SubGaussian.lean,Mathlib/Topology/Algebra/ProperAction/Basic.lean,Mathlib/Topology/Compactness/Compact.lean,Mathlib/Topology/Constructions/SumProd.lean,Mathlib/Topology/UniformSpace/UniformConvergence.lean |
19 |
31 |
['github-actions', 'themathqueen', 'wrenna-robson'] |
nobody |
12-35628 12 days ago |
12-38886 12 days ago |
25-28524 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 |
12-29173 12 days ago |
23-22066 23 days ago |
23-31093 23 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 |
12-21499 12 days ago |
12-21499 12 days ago |
12-21458 12 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 |
6 |
['AntoineduFresne', 'SnirBroshi', 'github-actions'] |
nobody |
12-18134 12 days ago |
38-46857 38 days ago |
38-47967 38 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 |
12-17956 12 days ago |
12-18532 12 days ago |
12-18480 12 days |
| 39607 |
TentativeConvert author:TentativeConvert |
feat(Algebra/DirectSum): equivalence between direct sum indexed by ι₁ and double sum indexed by ι₂ and fibres of f : ι₁ → ι₂ |
1. Add variant `equivCongrLeft'` of `equivCongrLeft`, and corresponding `…_apply` lemma.
2. Add `…_of lemmas` for both `equivCongrLeft` and `equivCongrLeft'`.
3. Add `…of lemma` for `sigmaCurry`, i.e. `sigmaCurry_of`.
4. Add `sigmaFiberAddEquiv`: the equivalence between a direct sum indexed by a type `ι₁` and the double sum indexed by a type `ι₂` and the fibres of a map `f : ι₁ → ι₂`. Add two `…_apply` lemmas and an `…_of` lemma.
---
This is supposed to be a first step towards merging the draft PR #39356.
re 1: Mathematically, I don't see why one version should be preferred over the other, but I found the existing `equivCongrLeft` more difficult to work with when the equivalence `h : ι ≃ κ` is naturally given in the opposite direction. (I could not avoid explicit type casts through the equality `h.symm.symm = h` when defining `sigmaFiberAddEquiv` in terms of `equivCongrLeft`.)
Very unsure about the name of `equivCongrLeft'`. (I see that the name `equivCongrLeft` was chosen in analogy with `Equiv.piCongrLeft`. `Equiv.piCongrRight` looks very different, so presumably `equivCongrLeft'` should *not* be called `equivCongrRight`.)
re 4: Very unsure about the naming of the two different `…_apply` lemmas; called them `…_apply` and `…_apply'` for now. The second (`…_apply'`) cannot be a `simp` lemma as it would prevent the first (`…_apply`) from firing.
I've used Claude Opus for understanding error messages and git interaction, but everything is hand coded.
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t-algebra
new-contributor
maintainer-merge
label:t-algebra$ |
46/3 |
Mathlib/Algebra/DirectSum/Basic.lean |
1 |
48 |
['TentativeConvert', 'eric-wieser', 'github-actions', 'joneugster', 'themathqueen'] |
joneugster assignee:joneugster |
12-16094 12 days ago |
12-18076 12 days ago |
66-26728 66 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 |
12-12412 12 days ago |
12-16782 12 days ago |
12-16732 12 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 |
12-11258 12 days ago |
12-12265 12 days ago |
12-12615 12 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'] |
robin-carlier assignee:robin-carlier |
12-5307 12 days ago |
12-5307 12 days ago |
25-83521 25 days |
| 40151 |
TJHeeringa author:TJHeeringa |
feat(Topology/Algebra): add ContinuousLinearMap.fromCompletion |
`Uniform.Completion.extension` maps a map $f:\alpha\to\beta$ to $f:\text{Completion }\alpha \to \beta$. There are theorems that show that this operations preserves continuous, uniformly, continuous and LipschitzWith, but not linearity. This adds that theorem.
---
Asked at [#Is there code for X? > Theorem for Completion.extension preserving linearity](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Theorem.20for.20Completion.2Eextension.20preserving.20linearity/with/599463628) whether it exists. No response given.
I placed it in other parts about extensions, but I needed to add an (flagged as costly) import for making this work. Hence, I am not sure I added it in the right spot.
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|
t-topology |
45/5 |
Mathlib/Topology/Algebra/LinearMapCompletion.lean |
1 |
23 |
['TJHeeringa', 'github-actions', 'j-loreaux', 'themathqueen'] |
sgouezel assignee:sgouezel |
11-85608 11 days ago |
21-28368 21 days ago |
44-10904 44 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 |
11-74956 11 days ago |
35-57283 35 days ago |
35-57231 35 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 |
15 |
['eric-wieser', 'github-actions', 'kbuzzard', 'leanprover-radar', 'mariainesdff', 'mathlib-merge-conflicts', 'matthewjasper'] |
mariainesdff assignee:mariainesdff |
11-74383 11 days ago |
11-76306 11 days ago |
86-42132 86 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 |
11-69019 11 days ago |
11-70999 11 days ago |
47-81731 47 days |
| 30109 |
scholzhannah author:scholzhannah |
feat: the subcomplexes of a (relative classical) CW complex form a completely distributive lattice |
In this PR we prove that the space of subcomplexes `Subcomplex C` of a (relative classical) CW complex `C` is a `CompletelyDistribLattice`.
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|
t-topology |
313/0 |
Mathlib/Topology/CWComplex/Classical/Subcomplex.lean |
1 |
28 |
['ADedecker', 'github-actions', 'j-loreaux', 'mathlib-merge-conflicts', 'scholzhannah'] |
urkud assignee:urkud |
11-68882 11 days ago |
41-39489 41 days ago |
98-37686 98 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'] |
EtienneC30 assignee:EtienneC30 |
11-68880 11 days ago |
68-2559 68 days ago |
68-2507 68 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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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 |
12 |
['ADedecker', 'WilliamCoram', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp', 'wwylele'] |
mcdoll assignee:mcdoll |
11-68879 11 days ago |
34-19023 34 days ago |
50-1098 50 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 |
11-68153 11 days ago |
17-54161 17 days ago |
17-54109 17 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 |
11-67978 11 days ago |
84-25663 84 days ago |
84-25611 84 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'] |
nobody |
11-66239 11 days ago |
12-18611 12 days ago |
12-18559 12 days |
| 38816 |
tb65536 author:tb65536 |
refactor(GroupTheory/Finiteness): make duplicate definitions into abbrevs |
The definitions `Submonoid.FG`, `Group.FG`, and `Subgroup.FG` are all equivalent to `Monoid.FG`, so I've made them into abbrevs. In the future we might even want to consider deprecating all but one to avoid having four ways to write the same thing.
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|
t-algebra
t-group-theory
label:t-algebra$ |
140/115 |
Mathlib/Algebra/AffineMonoid/Irreducible.lean,Mathlib/GroupTheory/Finiteness.lean,Mathlib/GroupTheory/MonoidLocalization/Finite.lean,Mathlib/GroupTheory/Schreier.lean,Mathlib/ModelTheory/Arithmetic/Presburger/Semilinear/Basic.lean,Mathlib/ModelTheory/Arithmetic/Presburger/Semilinear/Defs.lean,Mathlib/RingTheory/FiniteType.lean,Mathlib/RingTheory/Finiteness/Defs.lean,Mathlib/RingTheory/Localization/InvSubmonoid.lean |
9 |
11 |
['eric-wieser', 'github-actions', 'j-loreaux', 'leanprover-radar', 'mathlib-merge-conflicts', 'riccardobrasca', 'tb65536'] |
riccardobrasca assignee:riccardobrasca |
11-65069 11 days ago |
11-66839 11 days ago |
85-77399 85 days |
| 35812 |
khwilson author:khwilson |
feat(MeasureTheory/Group/GeometryOfNumbers): successive minima and existence of a directional basis |
Define the successive minima of a discrete subgroup of a real vector space with respect to a convex set. These invariants show up throughout the geometry of numbers and are the focus of Minkowski's Second Theorem (whose statement is left here with a `proof_wanted`).
Note: The key lemma is that the "gauge set" of the convex set is closed. I took the approach of showing that it is sequentially closed. There's an alternative approach via showing it's the union of a finite number of closed sets. I personally thought this approach was more intuitive, but the union approach may result in a slightly shorter proof.
Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-measure-probability
|
350/36 |
Mathlib/Algebra/Module/ZLattice/Basic.lean,Mathlib/Analysis/Convex/Basic.lean,Mathlib/Analysis/Convex/Body.lean,Mathlib/Analysis/Convex/Gauge.lean,Mathlib/LinearAlgebra/FiniteDimensional/Basic.lean,Mathlib/MeasureTheory/Group/GeometryOfNumbers.lean,Mathlib/NumberTheory/NumberField/Units/Regulator.lean |
7 |
98 |
['Vierkantor', 'YaelDillies', 'github-actions', 'joneugster', 'khwilson', 'mathlib-merge-conflicts', 'ocfnash', 'sgouezel'] |
nobody |
11-64217 11 days ago |
17-3634 17 days ago |
79-79034 79 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'] |
nobody |
11-45215 11 days ago |
11-46160 11 days ago |
39-15323 39 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.
- [ ] depends on: #41592
[](https://gitpod.io/from-referrer/)
|
t-analysis |
546/3 |
Archive.lean,Archive/RiemannStieltjes.lean,Mathlib/Analysis/BoxIntegral/Basic.lean,Mathlib/Analysis/BoxIntegral/Partition/Additive.lean |
4 |
2 |
['github-actions', 'madvorak', 'mathlib-dependent-issues'] |
nobody |
11-41766 11 days ago |
13-34182 13 days ago |
13-36595 13 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 |
43/68 |
Mathlib/Order/Bounds/Basic.lean |
1 |
1 |
['github-actions', 'madvorak', 'vihdzp'] |
nobody |
11-40685 11 days ago |
57-33862 57 days ago |
57-33810 57 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 |
7/1 |
Mathlib/Analysis/MeanInequalities.lean,Mathlib/Data/ENNReal/BigOperators.lean |
2 |
2 |
['SnirBroshi', 'github-actions', 'madvorak'] |
nobody |
11-40235 11 days ago |
35-71150 35 days ago |
35-71636 35 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 |
11-38104 11 days ago |
50-75483 50 days ago |
50-75431 50 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'] |
TwoFX assignee:TwoFX |
11-33913 11 days ago |
11-37033 11 days ago |
38-77722 38 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 |
11-12906 11 days ago |
11-15340 11 days ago |
12-69501 12 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 |
11-12670 11 days ago |
11-17348 11 days ago |
24-20485 24 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 |
11-12289 11 days ago |
11-14889 11 days ago |
11-14853 11 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 |
11-12180 11 days ago |
11-15998 11 days ago |
11-15946 11 days |
| 41775 |
JovanGerb author:JovanGerb |
chore(Order/SymmDiff): use `to_dual` |
This PR generates `bihimp` from `symmDiff` using `to_dual`.
---
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|
45/161 |
Mathlib/Order/SymmDiff.lean,Mathlib/Tactic/Translate/ToDual.lean |
2 |
1 |
['github-actions'] |
nobody |
11-11556 11 days ago |
11-16349 11 days ago |
11-16297 11 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 |
11-11421 11 days ago |
11-14802 11 days ago |
11-15873 11 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 |
11-3335 11 days ago |
18-28598 18 days ago |
18-32148 18 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 |
10-84208 10 days ago |
10-84785 10 days ago |
10-84733 10 days |
| 41776 |
JovanGerb author:JovanGerb |
fix(Order/Heyting/Regular): fix `Lattice` instance diamond |
This PR fixes a diamond in the `Lattice` instance on `Regular`.
It's a bit awkward that `Lattice` does not extend `Min`, so `fast_instance%` doesn't save us here.
---
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|
tech debt
t-order
|
1/2 |
Mathlib/Order/Heyting/Regular.lean |
1 |
5 |
['JovanGerb', 'YaelDillies', 'eric-wieser', 'github-actions'] |
YaelDillies assignee:YaelDillies |
10-79868 10 days ago |
11-16220 11 days ago |
11-16168 11 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 |
10-77639 10 days ago |
10-78245 10 days ago |
10-78193 10 days |
| 41798 |
FrankieNC author:FrankieNC |
feat(MeasureTheory): pushforward of Hausdorff measure under a homothety |
Prove `Measure.map (AffineMap.homothety x c) μH[d] = ‖c‖₊⁻¹ ^ d • μH[d]` for `c ≠ 0`, resolving the TODO in `Mathlib/MeasureTheory/Measure/Hausdorff.lean`: the generalisation of `AffineMap.homothety_continuous` it was waiting for has since been merged, so the result follows from `hausdorffMeasure_homothety_preimage` via `Measure.ext`. |
t-measure-probability |
5/3 |
Mathlib/MeasureTheory/Measure/Hausdorff.lean |
1 |
1 |
['github-actions'] |
nobody |
10-75598 10 days ago |
10-78733 10 days ago |
10-78681 10 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
|
7/4 |
Mathlib/Order/ConditionallyCompleteLattice/Finset.lean |
1 |
17 |
['SnirBroshi', 'github-actions', 'j-loreaux', 'lakesare'] |
nobody |
10-75325 10 days ago |
12-75692 12 days ago |
13-22318 13 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 |
10-68887 10 days ago |
10-70762 10 days ago |
10-70710 10 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'] |
alreadydone assignee:alreadydone |
10-68881 10 days ago |
51-11065 51 days ago |
51-11013 51 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 |
10-67979 10 days ago |
86-7079 86 days ago |
86-7081 86 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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- [x] depends on: #37640
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
86/0 |
Mathlib/Combinatorics/SimpleGraph/Clique.lean |
1 |
6 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
10-67977 10 days ago |
49-22154 49 days ago |
49-22634 49 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 |
10-67976 10 days ago |
62-45719 62 days ago |
73-81583 73 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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[](https://gitpod.io/from-referrer/)
|
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 |
10-67975 10 days ago |
37-43236 37 days ago |
58-19037 58 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 |
10-67974 10 days ago |
64-31862 64 days ago |
69-260 69 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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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
71/15 |
Mathlib/Combinatorics/SimpleGraph/LapMatrix.lean |
1 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
10-67974 10 days ago |
66-28849 66 days ago |
66-76507 66 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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[Zulip](https://leanprover.zulipchat.com/#narrow/channel/113488-general/topic/Any.20infimum.20based.20version.20of.20.60OmegaCompletePartialOrder.60.3F)
[](https://gitpod.io/from-referrer/)
|
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 |
10-67973 10 days ago |
78-45295 78 days ago |
83-75951 83 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 |
10-67971 10 days ago |
68-19701 68 days ago |
77-79962 77 days |
| 39369 |
pd4st8hb95-hub author:pd4st8hb95-hub |
feat: add basic fuzzy set definitions |
This PR adds a minimal `FuzzySet` API in `Mathlib/Order/FuzzySet`.
A fuzzy set is represented as an abbreviation:
`FuzzySet α L := α → L`
The file provides basic definitions and lemmas:
- `degree`
- `support`
- `core`
- `weakCut`
- `strongCut`
- membership simp lemmas
- extensionality
- basic monotonicity lemmas for weak and strong cuts
This PR intentionally does not add complement, union/intersection-specific API, normal or convex fuzzy sets, fuzzy relations, or advanced fuzzy set theory.
Validation:
- `lake build Mathlib.Order.FuzzySet`
- `#lint only docBlame docBlameThm`
Feedback on whether `Mathlib/Order/FuzzySet.lean` is the right location for this minimal API would be appreciated.
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|
t-order
new-contributor
|
169/0 |
Mathlib.lean,Mathlib/Order/FuzzySet.lean |
2 |
6 |
['github-actions', 'grunweg', 'pd4st8hb95-hub', 'wwylele'] |
nobody |
10-67971 10 days ago |
71-21709 71 days ago |
71-22017 71 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 |
10-67970 10 days ago |
71-65127 71 days ago |
71-73671 71 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 |
10-67969 10 days ago |
68-85893 68 days ago |
68-85841 68 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'] |
nobody |
10-67964 10 days ago |
49-3022 49 days ago |
49-9528 49 days |
| 36605 |
martinwintermath author:martinwintermath |
feat(Geometry/Convex/Cone): Add lemmas about interaction of hull, span and negation |
Prove lemmas about the interaction of hull, span and negation.
Main additions:
* `PointedCone.toSubmodule` that produces a submodule with the same support given that `-C = C`. Also the corresponding `CanLift`
* `PointedCone.hull_neg_pair_eq_span_singleton` proving `hull R {-x, x} = R ∙ x` (simp lemma)
* `PointedCone.span_eq_hull_neg_sup_hull` proving `span R s = hull R (-s) ⊔ hull R s`
* `PointedCone.mem_span` proving `x ∈ span R C ↔ ∃ p, n ∈ C, x = p - n`
Considerations: there are several ways to express that a convex cone is a submodule:
* `-C = C`
* `-C ≤ C` or `C ≤ -C`
* `C = span R C`
* `C = C.lineal`
The consensus was that the the first option is the most direct way to express this property, which then allows to lift to a submodule.
Co-authored by: Olivia Röhrig, Kilian Rueß, Artie Khovanov
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|
t-convex-geometry |
65/0 |
Mathlib/Geometry/Convex/Cone/Pointed.lean |
1 |
74 |
['YaelDillies', 'artie2000', 'github-actions', 'martinwintermath', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
10-67961 10 days ago |
61-84882 61 days ago |
78-85436 78 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 |
10-65700 10 days ago |
10-66221 10 days ago |
18-49130 18 days |
| 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 |
4 |
['CoolRmal', 'github-actions', 'mathlib-dependent-issues', 'wwylele'] |
CoolRmal assignee:CoolRmal |
10-60980 10 days ago |
15-65505 15 days ago |
20-17815 20 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 |
10-57942 10 days ago |
19-13392 19 days ago |
19-13340 19 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 |
10-57736 10 days ago |
15-9270 15 days ago |
15-9218 15 days |
| 41717 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Walk): more `transfer` API |
---
The Hamiltonian lemmas don't really need `Finite`; I'll fix this after #41435 (in whichever merges second).
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t-combinatorics
tech debt
|
54/23 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Hamiltonian.lean,Mathlib/Combinatorics/SimpleGraph/Paths.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Maps.lean |
4 |
1 |
['github-actions'] |
nobody |
10-57552 10 days ago |
12-54936 12 days ago |
12-54987 12 days |
| 41684 |
kebekus author:kebekus |
feat: API for logarithmic derivatives of meromorphic functions |
Provide API for logarithmic derivatives of meromorphic functions.
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
large-import
|
225/10 |
Mathlib.lean,Mathlib/Analysis/Calculus/LogDeriv.lean,Mathlib/Analysis/Meromorphic/Basic.lean,Mathlib/Analysis/Meromorphic/LogDeriv.lean,Mathlib/Analysis/Meromorphic/Order.lean,Mathlib/Analysis/SpecialFunctions/Complex/LogDeriv.lean |
6 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
10-50072 10 days ago |
10-50782 10 days ago |
12-76294 12 days |
| 40533 |
kebekus author:kebekus |
feat: translation invariance of meromorphicity |
Establish a host of elementary simplifier lemmas, showing that all notions associated with the word "meromorphic" are invariant under translation.
---
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t-analysis |
329/9 |
Mathlib/Analysis/Analytic/Order.lean,Mathlib/Analysis/Meromorphic/Basic.lean,Mathlib/Analysis/Meromorphic/Divisor.lean,Mathlib/Analysis/Meromorphic/NormalForm.lean,Mathlib/Analysis/Meromorphic/Order.lean,Mathlib/Analysis/Meromorphic/TrailingCoefficient.lean,Mathlib/Analysis/Normed/Group/Basic.lean,Mathlib/Analysis/Normed/Group/Pointwise.lean |
8 |
33 |
['felixpernegger', 'github-actions', 'j-loreaux', 'kebekus', 'mathlib-merge-conflicts'] |
sgouezel assignee:sgouezel |
10-46614 10 days ago |
10-47967 10 days ago |
43-48386 43 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 |
10-43232 10 days ago |
10-43232 10 days ago |
10-43180 10 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 |
10-38485 10 days ago |
11-14478 11 days ago |
11-41111 11 days |
| 41799 |
FrankieNC author:FrankieNC |
feat(Topology/MetricSpace): differentiable maps do not increase Hausdorff dimension |
Add `DifferentiableOn.dimH_image_le`: a map differentiable on a set `s` in a finite-dimensional real normed space satisfies `dimH (f '' t) ≤ dimH t` for `t ⊆ s`, by covering `t` with countably many pieces on which `f` is Lipschitz; this resolves the TODO on `ContDiffOn.dimH_image_le` by dropping its `Convex ℝ s` hypothesis (also from `ContDiffOn.dense_compl_image_of_dimH_lt_finrank`), a breaking change with no other uses in Mathlib. |
t-topology |
51/15 |
Mathlib/Topology/MetricSpace/HausdorffDimension.lean |
1 |
1 |
['github-actions'] |
CoolRmal assignee:CoolRmal |
10-36173 10 days ago |
10-78505 10 days ago |
10-78453 10 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'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
10-31697 10 days ago |
17-30286 17 days ago |
20-74961 20 days |
| 41616 |
JX-Mo author:JX-Mo |
refactor(RepresentationTheory): move instance Abelian (Rep k G) to Rep.Basic |
This instance removes the commutativity assumption on k in the current instance Abelian (Rep k G) in Rep.Iso. |
t-algebra
new-contributor
maintainer-merge
label:t-algebra$ |
2/2 |
Mathlib/RepresentationTheory/Rep/Basic.lean,Mathlib/RepresentationTheory/Rep/Iso.lean |
2 |
4 |
['github-actions', 'grunweg'] |
nobody |
10-29783 10 days ago |
15-27398 15 days ago |
15-27346 15 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'] |
nobody |
10-29110 10 days ago |
12-23237 12 days ago |
12-23185 12 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 |
10-27196 10 days ago |
10-28262 10 days ago |
13-43437 13 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'] |
nobody |
10-26074 10 days ago |
13-10248 13 days ago |
13-10196 13 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'] |
tb65536 assignee:tb65536 |
10-25326 10 days ago |
24-4115 24 days ago |
24-37710 24 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'] |
alreadydone assignee:alreadydone |
10-25271 10 days ago |
33-6530 33 days ago |
72-36869 72 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 |
1/1 |
Mathlib/CategoryTheory/Limits/VanKampen.lean |
1 |
1 |
['github-actions'] |
nobody |
10-24353 10 days ago |
10-25896 10 days ago |
10-25844 10 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 |
10-20010 10 days ago |
35-17018 35 days ago |
172-20714 172 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 |
10-17943 10 days ago |
22-27529 22 days ago |
25-81560 25 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'] |
scholzhannah assignee:scholzhannah |
10-16191 10 days ago |
11-16892 11 days ago |
92-68894 92 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 |
10-13913 10 days ago |
10-19316 10 days ago |
10-19264 10 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 |
10-9001 10 days ago |
12-24275 12 days ago |
12-24223 12 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.
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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 |
10-8819 10 days ago |
17-58733 17 days ago |
17-58681 17 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 |
10-219 10 days ago |
11-67171 11 days ago |
16-85103 16 days |
| 41248 |
tb65536 author:tb65536 |
chore(NumberTheory/RamificationInertia/Basic): deprecate file |
This PR deprecates `NumberTheory/RamificationInertia/Basic.lean` in favor of `RingTheory/RamificationInertia/Basic.lean`.
---
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|
t-ring-theory
t-algebra
t-number-theory
label:t-algebra$ |
40/6 |
Mathlib/NumberTheory/RamificationInertia/Basic.lean |
1 |
6 |
['Multramate', 'github-actions', 'grunweg', 'mathlib-merge-conflicts', 'tb65536'] |
nobody |
9-85070 9 days ago |
10-2769 10 days ago |
24-25455 24 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 |
9-84531 9 days ago |
10-2817 10 days ago |
10-2765 10 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 |
9-84134 9 days ago |
10-2551 10 days ago |
10-2499 10 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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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
141/0 |
Mathlib.lean,Mathlib/Combinatorics/Design/Defs.lean |
2 |
1 |
['github-actions'] |
nobody |
9-82912 9 days ago |
9-82967 9 days ago |
9-82916 9 days |
| 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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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
159/17 |
Mathlib/LinearAlgebra/BilinearForm/Orthogonal.lean,Mathlib/LinearAlgebra/SesquilinearForm/Orthogonal.lean |
2 |
30 |
['github-actions', 'martinwintermath', 'mathlib-dependent-issues', 'themathqueen'] |
nobody |
9-81141 9 days ago |
14-79656 14 days ago |
24-68535 24 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 |
9-78848 9 days ago |
9-78848 9 days ago |
11-75999 11 days |
| 41728 |
vaca22 author:vaca22 |
feat(GroupTheory): prove uniqueness of ℤᵐ⁰ automorphisms |
Prove that every order-preserving multiplicative automorphism of ℤᵐ⁰ is the identity. This also gives a Unique instance for its automorphism type and a Subsingleton instance for order-preserving multiplicative normalizations from G to ℤᵐ⁰.
The proof transports an automorphism through WithZero.exp and WithZero.log to an additive automorphism of ℤ, then excludes negation by monotonicity.
------------
**AI disclosure**: this PR is primarily LLM-generated (Claude Code).
|
t-group-theory
new-contributor
LLM-generated
|
61/0 |
Mathlib/GroupTheory/ArchimedeanDensely.lean |
1 |
4 |
['github-actions', 'grunweg', 'vaca22'] |
nobody |
9-78818 9 days ago |
9-78824 9 days ago |
11-76932 11 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 |
9-76914 9 days ago |
15-20769 15 days ago |
15-20717 15 days |
| 41810 |
YaelDillies author:YaelDillies |
feat(CategoryTheory/Concrete): generic `↧` notation for `FooCat.of` |
Following a suggestion of Andrew on [Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Remove.20.60Spec.28.29.60.20notation/near/544291147).
Generated by Claude Opus based off my suggested implementation, then I rewrote the docstrings by hand.
Assisted-by: Claude Opus 4.8
---
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|
t-category-theory
LLM-generated
t-meta
|
255/0 |
Mathlib.lean,Mathlib/CategoryTheory/ConcreteCategory/Basic.lean,Mathlib/CategoryTheory/ConcreteCategory/Notation.lean,MathlibTest/CategoryTheory/ConcreteCategory/Notation.lean |
4 |
13 |
['Whysoserioushah', 'YaelDillies', 'erdOne', 'github-actions'] |
nobody |
9-74685 9 days ago |
10-17877 10 days ago |
10-19464 10 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 |
8 |
['MichaelStollBayreuth', 'github-actions', 'loefflerd', 'mathlib-dependent-issues', 'seewoo5'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
9-70675 9 days ago |
20-57128 20 days ago |
20-57076 20 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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[](https://gitpod.io/from-referrer/)
|
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 |
9-69024 9 days ago |
9-70630 9 days ago |
9-71249 9 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'] |
riccardobrasca assignee:riccardobrasca |
9-68882 9 days ago |
32-53465 32 days ago |
86-75468 86 days |
| 37730 |
RemyDegenne author:RemyDegenne |
feat: define total variation distance |
Define the total variation distance between two finite measures, using the variation of the difference seen as signed measures.
---
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t-measure-probability |
490/0 |
Mathlib.lean,Mathlib/MeasureTheory/Measure/Decomposition/Lebesgue.lean,Mathlib/MeasureTheory/Measure/MutuallySingular.lean,Mathlib/MeasureTheory/Measure/TotalVariation/Basic.lean,Mathlib/MeasureTheory/Measure/TotalVariation/Defs.lean,Mathlib/MeasureTheory/VectorMeasure/Basic.lean,Mathlib/MeasureTheory/VectorMeasure/TotalVariation.lean |
7 |
14 |
['DavidLedvinka', 'EtienneC30', 'RemyDegenne', 'github-actions', 'mathlib-merge-conflicts'] |
kex-y assignee:kex-y |
9-68881 9 days ago |
32-40712 32 days ago |
43-80113 43 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 |
9-68878 9 days ago |
36-59182 36 days ago |
44-14726 44 days |
| 41347 |
mkaratarakis author:mkaratarakis |
feat(Tactic/ComputablePolynomial): 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. Axiom-free (the search never enters the proof term).
Independent of the `SparsePoly` series (#41339) — this file uses only `Polynomial` and standard tactics. Split from #41282 per review request.
🤖 Generated with [Claude Code](https://claude.com/claude-code)
|
t-meta |
290/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/ComputablePolynomial/DvdCert.lean,MathlibTest/ComputablePolynomial/PolyDvdCert.lean |
4 |
2 |
['JovanGerb', 'github-actions'] |
kim-em assignee:kim-em |
9-68877 9 days ago |
22-44549 22 days ago |
22-44616 22 days |
| 41517 |
sadasant author:sadasant |
feat(MeasureTheory): define Hellinger affinity |
Define the Hellinger affinity (Bhattacharyya coefficient) of two measures as an `ENNReal`-valued lintegral against the canonical dominating measure `μ + ν`, making the definition total with no absolute-continuity or integrability side conditions. Provide symmetry, invariance under the choice of sigma-finite dominating measure, the self-affinity of a probability measure, the `rnDeriv` and `withDensity` computation rules, the bound `≤ 1` for probability measures (via Hölder with `p = q = 2`), and the characterization that the affinity vanishes iff the measures are mutually singular. Groundwork for a formalization of Kakutani's dichotomy (1948) for infinite products of probability measures.
---
**Design notes.**
On the value type ("why not `ℝ` / `ℝ≥0` / `EReal`"): the `ℝ≥0∞`-valued lintegral against `μ + ν` makes the affinity total, which is what makes the singular direction of Kakutani's dichotomy (planned follow-up PRs) case-split-free — `hellingerAffinity_eq_zero_iff` already characterizes mutual singularity with no absolute-continuity hypothesis. `InformationTheory.klDiv` sets the precedent of an `ℝ≥0∞`-valued, standalone divergence-like quantity. The invariance lemma `hellingerAffinity_eq_lintegral_rnDeriv_mul_rnDeriv` recovers the textbook `∫ √(dμ/dρ · dν/dρ) dρ` for any σ-finite dominating `ρ`.
**Relation to f-divergences** (CC @RemyDegenne for coordination with the planned `fDiv` upstreaming from TestingLowerBounds): the affinity is the f-integral at `f = √·`, equivalently `1 −` the Hellinger-½ divergence, with `H²(μ,ν)/2 = 1 − affinity`. Rather than block on an unlanded framework, this PR keeps the affinity standalone (the `klDiv` pattern); when `fDiv` lands, a single bridging lemma of the shape `fDiv hellingerFun μ ν = 1 - hellingerAffinity μ ν` reconciles them, and I am happy to contribute it. Also happy to move the file to `Mathlib/InformationTheory/` if reviewers prefer that home over `Mathlib/MeasureTheory/Measure/`.
**Roadmap.** This is PR 1 of a planned sequence building toward Kakutani's dichotomy for `Measure.infinitePi` over an arbitrary index type (stronger than the textbook countable statement): the `lintegral` product Fubini and `Measure.pi_withDensity`, the infinite-product/summability bridges, then the singular and absolutely-continuous directions and the packaged dichotomy. Natural follow-up API for this file, available on request: `hellingerAffinity_pos_iff`, monotonicity in each argument, and the relation to the squared Hellinger distance once a distance exists.
**Attribution and AI disclosure.** This material was developed in the public [riemann-venue](https://github.com/idolum-ai/riemann-venue) repository by Daniel Rodriguez in collaboration with Claude Fable 5 (Anthropic), as part of a machine-checked formalization of Kakutani's dichotomy (1948) for infinite products of probability measures. The definitions, proofs, and the drafting of this description were done with Claude Fable 5 via Claude Code, working from a design and statement plan reviewed by the human author; all proofs are checked by Lean (`#print axioms` on the main results reports only `propext`, `Classical.choice`, `Quot.sound`), and the human author reviewed the final form, takes responsibility for it, and will answer all review comments personally. I am applying the `LLM-generated` label per the contribution guidelines. |
t-measure-probability
LLM-generated
new-contributor
|
214/0 |
Mathlib.lean,Mathlib/MeasureTheory/Measure/Hellinger.lean |
2 |
4 |
['github-actions', 'sadasant'] |
kex-y assignee:kex-y |
9-68875 9 days ago |
17-78321 17 days ago |
17-78269 17 days |
| 41847 |
stalex444 author:stalex444 |
feat(Analysis/Matrix): tightness of Tsirelson's inequality |
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 |
9-68845 9 days ago |
9-69462 9 days ago |
9-69410 9 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 |
9-67978 9 days ago |
60-15964 60 days ago |
60-15912 60 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'] |
nobody |
9-67971 9 days ago |
53-1736 53 days ago |
53-1684 53 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'] |
nobody |
9-67963 9 days ago |
56-272 56 days ago |
56-262 56 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'] |
nobody |
9-67962 9 days ago |
44-76903 44 days ago |
53-76895 53 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 |
9-67958 9 days ago |
60-2178 60 days ago |
60-2726 60 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 |
9-67957 9 days ago |
58-42844 58 days ago |
58-42792 58 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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[](https://gitpod.io/from-referrer/)
|
t-algebra
t-euclidean-geometry
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 |
4 |
['github-actions', 'mathlib-merge-conflicts'] |
eric-wieser assignee:eric-wieser |
9-63827 9 days ago |
9-65042 9 days ago |
65-15804 65 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'] |
riccardobrasca assignee:riccardobrasca |
9-63482 9 days ago |
93-70360 93 days ago |
96-53014 96 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 |
9-63159 9 days ago |
30-59070 30 days ago |
42-42518 42 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 |
5 |
['JovanGerb', 'github-actions', 'leanprover-radar'] |
JovanGerb assignee:JovanGerb |
9-61243 9 days ago |
10-8481 10 days ago |
10-8441 10 days |
| 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 |
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 |
3 |
['github-actions', 'mathlib-merge-conflicts', 'themathqueen'] |
nobody |
9-56895 9 days ago |
9-58086 9 days ago |
12-10451 12 days |
| 41427 |
YaelDillies author:YaelDillies |
refactor(Algebra/MvPolynomial): delete `coeff` |
... without a deprecation because we want dot notation to resolve to `AddMonoidAlgebra.coeff`.
For migration, replace bare `MvPolynomial.coeff`s with `AddMonoidAlgebra.coeff`. Dot notation `.coeff` will resolve to `AddMonoidAlgebra.coeff` without further change. `MvPolynomial.coeff m p` corresponds to `AddMonoidAlgebra.coeff p m`, so you will need to swap arguments. Note further that `AddMonoidAlgebra.coeff p` is bundled as a `Finsupp` while `MvPolynomial.coeff` is a bare function.
---
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[](https://gitpod.io/from-referrer/)
|
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 |
9-52198 9 days ago |
9-53702 9 days ago |
18-23823 18 days |
| 41665 |
korbonits author:korbonits |
feat(Topology/Connected): transport path-connectedness along homeomorphisms |
Add `Homeomorph.pathConnectedSpace`, `Homeomorph.locallyPathConnectedSpace` and `Homeomorph.image_pathComponent`, completing the family alongside the existing `Homeomorph.connectedSpace` and `Homeomorph.locallyConnectedSpace`.
---
AI disclosure
- level: Level 5 / Level 6 in [the link shared](https://www.visidata.org/blog/2026/ai/#self-assessed-ai-level-for-contributions) -- I feel confident about the math but I am still learning Lean itself
- code: most of the Lean in this PR was drafted by Claude Code (statements, proofs, docstrings).
- direction and review: I chose the contribution, made the decisions, reviewed every line, and wrote all GitHub/Zulip comments.
- testing: I ran local lake build of files and lake env lean of some test files (uncommitted) |
t-topology
LLM-generated
new-contributor
|
22/0 |
Mathlib/Topology/Connected/LocallyPathConnected.lean,Mathlib/Topology/Connected/PathConnected.lean |
2 |
3 |
['github-actions', 'korbonits'] |
nobody |
9-45752 9 days ago |
13-76882 13 days ago |
13-77093 13 days |
| 41661 |
korbonits author:korbonits |
feat(Topology/Connected): connected and path components of products and pi types |
Add `connectedComponent_prod/pi` and `pathComponent_prod/pi`: the (path) component of a point in a product is the product of the components of its coordinates. Also add the missing `Joined.map`, `Joined.prod`, `Joined.pi` along the way.
---
Follow-up to #40092.
AI disclosure
- level: Level 5 / Level 6 in [the link shared](https://www.visidata.org/blog/2026/ai/#self-assessed-ai-level-for-contributions) -- I feel confident about the math but I am still learning Lean itself
- code: most of the Lean in this PR was drafted by Claude Code (statements, proofs, docstrings).
- direction and review: I chose the contribution, made the decisions, reviewed every line, and wrote all GitHub/Zulip comments.
- testing: I ran local lake build of files and lake env lean of some test files (uncommitted) |
t-topology
new-contributor
LLM-generated
|
48/0 |
Mathlib/Topology/Connected/Basic.lean,Mathlib/Topology/Connected/PathConnected.lean |
2 |
5 |
['github-actions', 'grunweg', 'korbonits'] |
nobody |
9-45265 9 days ago |
9-49519 9 days ago |
13-50350 13 days |
| 35349 |
RemyDegenne author:RemyDegenne |
feat: data processing inequality for the Kullback-Leibler divergence |
---
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[](https://gitpod.io/from-referrer/)
|
t-measure-probability
maintainer-merge
|
290/24 |
Mathlib.lean,Mathlib/Analysis/Convex/Continuous.lean,Mathlib/InformationTheory/KullbackLeibler/DataProcessing.lean,Mathlib/MeasureTheory/Measure/Decomposition/IntegralRNDeriv.lean |
4 |
16 |
['EtienneC30', 'RemyDegenne', 'VictorBoscaro', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib-splicebot'] |
EtienneC30 assignee:EtienneC30 |
9-44657 9 days ago |
10-37366 10 days ago |
25-37546 25 days |
| 41835 |
pepamontero author:pepamontero |
feat: add `orbitRel.Quotient.quotient_smul_eq` and `Homeomorph.smul_symm` |
Two small, independent lemmas separated from PR #40727 (proving the orbit space inherits `IsManifold` structure), since neither depends on manifolds and both are useful on their own:
* `orbitRel.Quotient.quotient_smul_eq`: in the quotient by `MulAction.orbitRel`, `⟦g • a⟧ = ⟦a⟧` for any `g`.
* `Homeomorph.smul_symm`: the inverse of the homeomorphism `Homeomorph.smul g` is `Homeomorph.smul g⁻¹`.
---
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|
new-contributor |
8/0 |
Mathlib/GroupTheory/GroupAction/Defs.lean,Mathlib/Topology/Algebra/ConstMulAction.lean |
2 |
7 |
['felixpernegger', 'github-actions', 'pepamontero'] |
nobody |
9-37546 9 days ago |
9-39938 9 days ago |
9-48731 9 days |
| 41479 |
YaelDillies author:YaelDillies |
feat(LinearAlgebra): dual of tensor is tensor of duals for finite projective modules |
Generalise this isomorphism and many similar ones from finite free to finite projective. To be able to deduce some isos from some other ones, I had to move them around in a preliminary PR. Note that #40297 made of the changes that the current PR was intending to do but not all, hence the slightly mangled diff.
Also change the defeq of `homTensorHomEquiv` so that it is *not* defeq to `homTensorHomMap` (but would be if `homTensorHomMap` became heterobasic). This makes `BilinForm.tensorDistribEquiv` defeq to `BilinForm.tensorDistrib`.
Also tag `LinearEquiv.congrRight` with `simps` to generate some required simp lemmas.
Human generated then golfed and edited with Claude Opus, then human-edited some more.
From FLT, PersistentDecomp
Co-authored-by: Edison Xie
Co-authored-by: Andrew Yang <the.erd.one@gmail.com>
Assisted-by: Claude Opus 4.8
---
This is a cleaned up version of #21829 reopened from a fork.
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|
t-algebra label:t-algebra$ |
125/95 |
Mathlib/Algebra/Module/Equiv/Basic.lean,Mathlib/LinearAlgebra/BilinearForm/TensorProduct.lean,Mathlib/LinearAlgebra/Contraction.lean,Mathlib/LinearAlgebra/TensorProduct/Map.lean,Mathlib/LinearAlgebra/Trace.lean |
5 |
13 |
['Deicyde', 'Whysoserioushah', 'YaelDillies', 'erdOne', 'github-actions', 'kbuzzard', 'mathlib-merge-conflicts'] |
nobody |
9-31911 9 days ago |
9-33986 9 days ago |
12-53624 12 days |
| 41723 |
luigi-massacci author:luigi-massacci |
feat: classical distributions induced by a locally integrable function |
Analogous to the results for Tempered 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'] |
nobody |
9-31456 9 days ago |
12-37302 12 days ago |
12-37526 12 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
|
102/0 |
Mathlib.lean,Mathlib/Topology/Covering/FundamentalGroupCircle.lean |
2 |
2 |
['github-actions'] |
nobody |
9-30345 9 days ago |
9-31619 9 days ago |
9-31671 9 days |
| 40392 |
felixpernegger author:felixpernegger |
chore(MeasureTheory/Integral/Lebesgue/Basic): fix an `erw` |
Extracted from #40348.
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|
t-measure-probability
tech debt
maintainer-merge
|
11/1 |
Mathlib/Data/ENNReal/Operations.lean,Mathlib/MeasureTheory/Integral/Lebesgue/Basic.lean |
2 |
5 |
['felixpernegger', 'github-actions', 'joneugster'] |
joneugster assignee:joneugster |
9-23640 9 days ago |
9-25749 9 days ago |
40-36422 40 days |
| 41243 |
dependabot author:dependabot |
chore(deps): bump GrantBirki/comment from 3.0.0 to 3.0.3 in /.github/workflows in the actions-version-updates group across 1 directory |
Bumps the actions-version-updates group with 1 update in the /.github/workflows directory: [GrantBirki/comment](https://github.com/grantbirki/comment).
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 />
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Dependabot will resolve any conflicts with this PR as long as you don't alter it yourself. You can also trigger a rebase manually by commenting `@dependabot rebase`.
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You can trigger Dependabot actions by commenting on this PR:
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dependencies
github_actions
CI
maintainer-merge
|
2/2 |
.github/workflows/build_template.yml,.github/workflows/maintainer_merge_wf_run.yml |
2 |
3 |
['github-actions', 'joneugster'] |
nobody |
9-23426 9 days ago |
25-21404 25 days ago |
25-21352 25 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 |
9-23019 9 days ago |
9-70814 9 days ago |
9-70763 9 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).
**Note**: redundant imports no longer needed because of changes to the code have not been removed yet since at least 5 other files depend on these as transitive imports.
**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 |
9-22889 9 days ago |
9-83893 9 days ago |
15-20391 15 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'] |
jjdishere assignee:jjdishere |
9-21422 9 days ago |
62-65751 62 days ago |
62-65699 62 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 etc). This is a necessary stepping stone to generalise many definitions and theorems across mathlib to `WeakPseudoEMetricSpace`
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t-topology
maintainer-merge
|
288/183 |
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 |
28 |
['felixpernegger', 'github-actions', 'mathlib-bors', 'scholzhannah'] |
scholzhannah assignee:scholzhannah |
9-19810 9 days ago |
9-21727 9 days ago |
41-14072 41 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 |
9-17577 9 days ago |
23-33438 23 days ago |
121-3475 121 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 |
86/8 |
Mathlib/Analysis/SpecialFunctions/Gamma/Deriv.lean,Mathlib/NumberTheory/Harmonic/GammaDeriv.lean |
2 |
6 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
9-12782 9 days ago |
9-15413 9 days ago |
9-83903 9 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 |
9-11943 9 days ago |
9-11990 9 days ago |
9-11946 9 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 |
9-11238 9 days ago |
9-11292 9 days ago |
9-11250 9 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 |
9-5787 9 days ago |
9-5787 9 days ago |
9-15309 9 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 |
9-5293 9 days ago |
9-5293 9 days ago |
9-5241 9 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'] |
bryangingechen assignee:bryangingechen |
9-614 9 days ago |
9-3545 9 days ago |
83-43806 83 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 |
8-86135 8 days ago |
8-86135 8 days ago |
12-23504 12 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'] |
TwoFX assignee:TwoFX |
8-86028 8 days ago |
9-2942 9 days ago |
77-28901 77 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 |
8-84555 8 days ago |
8-85701 8 days ago |
8-85841 8 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 |
9 |
['SnirBroshi', 'github-actions', 'stalex444'] |
nobody |
8-83336 8 days ago |
9-4723 9 days ago |
9-4671 9 days |
| 38039 |
themathqueen author:themathqueen |
chore(Topology): `UniformSpace.Completion` renames for morphisms |
This PR renames the following `UniformSpace.Completion` morphisms.
The `UniformSpace` namespace remains for ring morphisms and functions so that we're clear which completion we're talking about. For isometries, `UniformEquiv`s, `NormedAddGroupHom`s, there's no need for the `UniformSpace` namespace.
For the isometry definitions, we used `Isometry.ringHom{FromCompletion, Completion}` instead of `RingHom.Isometry.{fromCompletion, completion}` so that it won't clash with the function versions (`Isometry.{fromCompletion, completion}`).
RingHom
- [ ] `UniformSpace.Completion.mapRingHom` -> `UniformSpace.RingHom.toCompletion`
- [ ] `UniformSpace.Completion.extensionHom` -> `UniformSpace.RingHom.fromCompletion`
RingEquiv
- [ ] `UniformSpace.Completion.mapRingEquiv` -> `UniformSpace.RingEquiv.completion`
NormedAddGroupHom
- [ ] `NormedAddGroupHom.extension` -> `NormedAddGroupHom.fromCompletion`
RingHom isometries
- [ ] `Isometry.extensionHom` -> `Isometry.ringHomFromCompletion`
- [ ] `Isometry.mapRingHom` -> `Isometry.ringHomCompletion`
isometries
- [ ] `Isometry.completion_extension` -> `Isometry.fromCompletion`
- [ ] `Isometry.completion_map` -> `Isometry.completion`
Functions
- [ ] `UniformSpace.Completion.extension` -> `UniformSpace.Function.fromCompletion`
- [ ] `UniformSpace.Completion.map` -> `UniformSpace.Function.completion`
UniformEquiv
- [ ] `UniformSpace.Completion.mapEquiv` -> `UniformEquiv.completion`
---
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See Zulip thread: [#mathlib4 > naming convention: `UniformSpace.Completion` morphisms](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/naming.20convention.3A.20.60UniformSpace.2ECompletion.60.20morphisms)
[](https://gitpod.io/from-referrer/)
|
t-topology
tech debt
|
385/230 |
Mathlib/Analysis/InnerProductSpace/Completion.lean,Mathlib/Analysis/Normed/Field/WithAbs.lean,Mathlib/Analysis/Normed/Group/Completion.lean,Mathlib/Analysis/Normed/Group/HomCompletion.lean,Mathlib/Analysis/Normed/Group/SemiNormedGrp/Completion.lean,Mathlib/NumberTheory/NumberField/Completion/FinitePlace.lean,Mathlib/NumberTheory/NumberField/Completion/InfinitePlace.lean,Mathlib/NumberTheory/NumberField/Completion/LiesOverInstances.lean,Mathlib/NumberTheory/Padics/Complex.lean,Mathlib/NumberTheory/Padics/HeightOneSpectrum.lean,Mathlib/NumberTheory/Padics/WithVal.lean,Mathlib/RingTheory/DedekindDomain/AdicValuation.lean,Mathlib/RingTheory/LaurentSeries.lean,Mathlib/Topology/Algebra/GroupCompletion.lean,Mathlib/Topology/Algebra/LinearMapCompletion.lean,Mathlib/Topology/Algebra/UniformMulAction.lean,Mathlib/Topology/Algebra/UniformRing.lean,Mathlib/Topology/Algebra/Valued/ValuedField.lean,Mathlib/Topology/Algebra/Valued/WithVal.lean,Mathlib/Topology/Category/UniformSpace.lean,Mathlib/Topology/MetricSpace/Completion.lean,Mathlib/Topology/UniformSpace/Completion.lean |
22 |
8 |
['github-actions', 'j-loreaux', 'mathlib-merge-conflicts', 'themathqueen'] |
ADedecker assignee:ADedecker |
8-81304 8 days ago |
8-82704 8 days ago |
27-78870 27 days |
| 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 |
17 |
['Vierkantor', 'YaelDillies', 'github-actions', 'sqrt-of-2', 'vlad902'] |
nobody |
8-77169 8 days ago |
8-80044 8 days ago |
9-3187 9 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 |
8-73228 8 days ago |
41-33132 41 days ago |
41-33080 41 days |
| 41611 |
SnirBroshi author:SnirBroshi |
chore(Data/Seq/Computation): golf using `grind` |
---
- `LiftRel.refl`: ? to 12ms
- `LiftRel.symm`: 10ms to 16ms
- `LiftRel.trans`: 13ms to 23ms
- `LiftRel.imp`: 11ms to 19ms
- `terminates_of_liftRel`: 14ms to 14ms
- `rel_of_liftRel`: 11ms to 15ms
- `liftRel_of_mem`: ? to 22ms
- `liftRel_def`: 20ms to 60ms
- `liftRel_bind`: 40ms to 55ms
- `liftRel_pure_left`: 15ms to 33ms
- `liftRel_think_left`: ? to 40ms
- `liftRel_congr`: ? to 35ms
- `LiftRelAux.ret_left`: 18ms to 18ms
(the question marks mean that `trace.profiler` doesn't output anything, maybe they're below 1ms?)
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t-data |
28/85 |
Mathlib/Data/Seq/Computation.lean |
1 |
5 |
['SnirBroshi', 'github-actions', 'grunweg', 'leanprover-radar'] |
nobody |
8-70742 8 days ago |
8-72293 8 days ago |
9-22445 9 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'] |
jjdishere assignee:jjdishere |
8-68881 8 days ago |
43-19132 43 days ago |
106-66722 106 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'] |
eric-wieser assignee:eric-wieser |
8-68881 8 days ago |
64-25807 64 days ago |
79-81924 79 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 |
3 |
['SnirBroshi', 'eric-wieser', 'github-actions'] |
eric-wieser assignee:eric-wieser |
8-68878 8 days ago |
85-86295 85 days ago |
85-86243 85 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'] |
kim-em assignee:kim-em |
8-68876 8 days ago |
9-42557 9 days ago |
48-1625 48 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'] |
TwoFX assignee:TwoFX |
8-68875 8 days ago |
69-6757 69 days ago |
73-17084 73 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'] |
mattrobball assignee:mattrobball |
8-68874 8 days ago |
23-27507 23 days ago |
70-29730 70 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'] |
eric-wieser assignee:eric-wieser |
8-68872 8 days ago |
68-35302 68 days ago |
68-35864 68 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'] |
TwoFX assignee:TwoFX |
8-68871 8 days ago |
58-37993 58 days ago |
58-38636 58 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'] |
robin-carlier assignee:robin-carlier |
8-68870 8 days ago |
58-12337 58 days ago |
58-12285 58 days |
| 41109 |
Deicyde author:Deicyde |
feat(Geometry/Manifold): add `ModelWithCorners.MfldCat`, the category of `C^n` manifolds on a fixed model |
Adds `ModelWithCorners.MfldCat I n`, the category of `C^n` manifolds modeled on a fixed model with corners `I`, together with its forgetful functor to `TopCat`.
Suggested by @chrisflav. See #38223 and the [Zulip Thread](https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/.2338223.20The.20Category.20of.20C.5En.20Manifolds/with/586321835) for more discussion of why this is necessary.
Boilerplate based on Yaël Dillies's `Mathlib.Algebra.Category.CommBialgCat`. This PR was prepared with assistance from Claude Code. |
t-differential-geometry |
167/0 |
Mathlib.lean,Mathlib/Geometry/Manifold/Category/MfldCat/OfModel.lean |
2 |
2 |
['Deicyde', 'github-actions', 'jkandel1'] |
ocfnash assignee:ocfnash |
8-68867 8 days ago |
29-943 29 days ago |
29-1103 29 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'] |
kim-em assignee:kim-em |
8-68865 8 days ago |
25-40679 25 days ago |
25-40627 25 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'] |
kim-em assignee:kim-em |
8-68864 8 days ago |
9-31724 9 days ago |
21-56425 21 days |
| 38380 |
wrenna-robson author:wrenna-robson |
feat(Data/Set): add `Set.diag` |
Introduces `Set.diag (s : Set α) : Set (α × α) = {(a, a) | a ∈ s}` as the set-level companion to `Set.offDiag`, mirroring the existing `Finset.diag` / `Finset.offDiag` pairing. The type-level `Set.diagonal : Type* → Set (α × α)` is retained unchanged; `diag_univ : (univ : Set α).diag = diagonal α` (`@[simp]`) keeps it canonical when the underlying set is `univ`.
Parallels to the existing `offDiag` API (`diag_mono`, `diag_nonempty`, `diag_eq_empty`, `diag_empty`, `diag_singleton`, `diag_subset_prod`, `diag_eq_sep_prod`, `diag_inter`, `diag_union`, `diag_insert`) plus bridges `diag_union_offDiag`, `disjoint_diag_offDiag`, `prod_sdiff_diag`, `prod_sdiff_offDiag`. Also `diag_eq_image`, `image_diag` (matching `Finset.image_diag`), `preimage_coe_coe_diag`, and `Finset.coe_diag`. Note `diag_union` and `diag_insert` are unconditional (no `Disjoint` / `a ∉ s` hypothesis).
To free the `diag_` prefix for the set sense, the existing lemmas about the diagonal *map* `fun x => (x, x)` are renamed with deprecation aliases:
`range_diag` → `range_diagMap`, `diag_preimage_prod` → `diagMap_preimage_prod`, `diag_preimage_prod_self` → `diagMap_preimage_prod_self`. `diag_image` and `preimage_coe_coe_diagonal` are marked `@[deprecated]`.
This PR was prepared with the assistance of Claude Opus. |
t-data
LLM-generated
|
117/20 |
Mathlib/Data/Finset/Prod.lean,Mathlib/Data/Set/Operations.lean,Mathlib/Data/Set/Prod.lean,Mathlib/MeasureTheory/MeasurableSpace/Constructions.lean,Mathlib/Topology/Compactness/Compact.lean,Mathlib/Topology/Compactness/Lindelof.lean,Mathlib/Topology/MetricSpace/Infsep.lean,Mathlib/Topology/NhdsSet.lean |
8 |
3 |
['github-actions', 'wrenna-robson'] |
nobody |
8-67979 8 days ago |
30-44313 30 days ago |
94-37861 94 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 |
8-65181 8 days ago |
8-65999 8 days ago |
16-24981 16 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 |
8-62395 8 days ago |
14-25540 14 days ago |
14-25488 14 days |
| 40636 |
xroblot author:xroblot |
feat(RingTheory/FractionalIdeal): IsMulTorsionFree instance |
- Adds `FractionalIdeal.isMulTorsionFree_of_le_nonZeroDivisors`: if `S ≤ R⁰` and `[IsMulTorsionFree (Ideal R)]`, then `IsMulTorsionFree (FractionalIdeal S P)`.
- Derives `FractionalIdeal.instIsMulTorsionFree` for the fraction field case (`S = R⁰`).
Also adds a discoverability note in `DedekindDomain/Ideal/Basic.lean` pointing to `Mathlib.Algebra.GroupWithZero.Torsion` for the `IsMulTorsionFree (Ideal A)` instance (hence also `IsMulTorsionFree (FractionalIdeal A⁰ K)`).
:robot: This PR was extracted from the [SKW project](https://github.com/xroblot/SKW) by Claude. |
t-ring-theory |
44/0 |
Mathlib/RingTheory/DedekindDomain/Ideal/Basic.lean,Mathlib/RingTheory/FractionalIdeal/Operations.lean |
2 |
1 |
['github-actions'] |
nobody |
8-62083 8 days ago |
15-24567 15 days ago |
15-24559 15 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 |
1 |
['github-actions'] |
nobody |
8-62004 8 days ago |
31-44491 31 days ago |
31-44465 31 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 |
8-61965 8 days ago |
35-19269 35 days ago |
35-20107 35 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 |
8-61565 8 days ago |
15-24666 15 days ago |
23-41596 23 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 |
8-61540 8 days ago |
48-13647 48 days ago |
48-13765 48 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 |
8-61130 8 days ago |
44-7727 44 days ago |
44-7675 44 days |
| 41849 |
ZRTMRH author:ZRTMRH |
feat(Combinatorics/Quiver/Path): add `Quiver.Reachable` |
Add `Quiver.Reachable a b`, the existence of a directed path from `a` to `b`, together with its basic preorder API (`@[refl]`/`@[trans]`) and `Path.reachable`/`Hom.reachable`.
Unlike `SimpleGraph.Reachable`, this is only a preorder, not an equivalence, since quiver paths are directed; the symmetric notion is reachability in `Symmetrify V`.
---
This will be used by #38310 (where it was suggested in review).
This PR was written with AI assistance (Claude). The code has been reviewed by the author.
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|
t-combinatorics
new-contributor
LLM-generated
maintainer-merge
|
40/1 |
Mathlib/Combinatorics/Quiver/Path.lean |
1 |
16 |
['SnirBroshi', 'YaelDillies', 'ZRTMRH', 'github-actions', 'robin-carlier'] |
nobody |
8-55260 8 days ago |
8-58741 8 days ago |
9-44989 9 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'] |
nobody |
8-35671 8 days ago |
53-25408 53 days ago |
53-25356 53 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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[](https://gitpod.io/from-referrer/)
---
*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 |
8-35100 8 days ago |
8-35658 8 days ago |
46-26631 46 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'] |
nobody |
8-23686 8 days ago |
46-59714 46 days ago |
47-29897 47 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$ |
1/1 |
Mathlib/LinearAlgebra/TensorProduct/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
8-20909 8 days ago |
8-22869 8 days ago |
8-22817 8 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 |
8-19182 8 days ago |
8-19727 8 days ago |
8-22651 8 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 |
8-15909 8 days ago |
9-14605 9 days ago |
63-34849 63 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 |
8-14351 8 days ago |
8-14407 8 days ago |
8-14355 8 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 |
8-14350 8 days ago |
8-14377 8 days ago |
8-14325 8 days |
| 41576 |
kim-em author:kim-em |
chore: use uniqueDiffOn_uIcc at existing call sites |
This PR replaces five inline proofs of `UniqueDiffOn ℝ [[a, b]]` (via `uniqueDiffOn_Icc (by grind)` or `uniqueDiffOn_Icc (inf_lt_sup.mpr h_ne)`) with the dedicated lemma `uniqueDiffOn_uIcc`, at four call sites in `Mathlib/Analysis/Calculus/Taylor.lean` and one in `Mathlib/MeasureTheory/Integral/IntervalIntegral/TrapezoidalRule.lean`.
Follow-up to [#40702 (feat(Analysis/Calculus): add uniqueDiffOn_uIcc)](https://github.com/leanprover-community/mathlib4/pull/40702).
🤖 Prepared with Claude Code
|
t-measure-probability
LLM-generated
|
5/5 |
Mathlib/Analysis/Calculus/Taylor.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/TrapezoidalRule.lean |
2 |
1 |
['github-actions'] |
nobody |
8-13977 8 days ago |
8-13977 8 days ago |
8-13925 8 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 |
8-13854 8 days ago |
8-13854 8 days ago |
8-13802 8 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 |
8-13723 8 days ago |
8-13723 8 days ago |
8-13671 8 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 |
8-12194 8 days ago |
8-14543 8 days ago |
30-84674 30 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 |
8-12158 8 days ago |
8-13348 8 days ago |
21-49300 21 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 |
8-12082 8 days ago |
8-13411 8 days ago |
19-43821 19 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 |
8-11738 8 days ago |
8-12977 8 days ago |
21-32464 21 days |
| 41622 |
benjub author:benjub |
feat(Order): add subset_Icc_iff and Set.OrdConnected.eq_Icc |
Add two lemmas relating to closed bounded intervals in a preorder:
- `subset_Icc_iff : s ⊆ Icc a b ↔ a ∈ lowerBounds s ∧ b ∈ upperBounds s` in `Mathlib/Order/Bounds/Basic.lean` characterizes containment in a closed bounded interval. This is the version "with witnesses" of `bddBelow_bddAbove_iff_subset_Icc`, and we prove the latter as a corollary.
- `OrdConnected.eq_Icc (s : Set α) (hs : OrdConnected s) (ha : IsLeast s a) (hb : IsGreatest s b) : s = Icc a b` in `Mathlib/Order/Interval/Set/OrdConnected.lean` gives a sufficient condition to be a closed bounded interval. It uses the previous lemma in its proof.
---
**Motivation:** I plan to use `OrdConnected.eq_Icc` to show that a set is closed when it is ordconnected and contains its infimum and supremum. This will allow to use the existing "continuous induction principle" `IsClosed.mem_of_ge_of_forall_exists_gt` to shorten the (compiling) proof in the draft PR #41552. |
t-order
new-contributor
|
9/3 |
Mathlib/Order/Bounds/Basic.lean,Mathlib/Order/Interval/Set/OrdConnected.lean |
2 |
5 |
['benjub', 'github-actions', 'grunweg'] |
nobody |
8-11558 8 days ago |
8-15793 8 days ago |
14-16538 14 days |
| 39872 |
mkaratarakis author:mkaratarakis |
feat(RingTheory/Algebraic): add natDenominator API |
Add `AlgebraicDenominator.denominator` and `AlgebraicDenominator.natDenominator`,
characterizing denominators of algebraic elements as generators of a colon ideal and,
over `ℤ`, their absolute value as a natural-number denominator.
Part of the Gelfond–Schneider formalization; see #39873, #39875, and #39874.
---
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cc @tb65536 |
t-ring-theory |
68/0 |
Mathlib.lean,Mathlib/RingTheory/Algebraic/NatDenominator.lean |
2 |
4 |
['faenuccio', 'github-actions', 'mkaratarakis', 'tb65536'] |
jjdishere assignee:jjdishere |
8-9609 8 days ago |
53-21690 53 days ago |
61-13163 61 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 |
8-8415 8 days ago |
8-12323 8 days ago |
69-73482 69 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 |
8-2969 8 days ago |
9-83085 9 days ago |
9-84002 9 days |
| 41827 |
mpacholski author:mpacholski |
feat(LinearAlgebra/TensorProduct): port lifts API from PiTensorProduct |
Port the `lifts` API from `PiTensorProduct` to the binary `TensorProduct` in `Mathlib/LinearAlgebra/TensorProduct/Basic.lean`.
This API provides the necessary machinery to represent any tensor element as a formal sum of pure generators in the free monoid, which is a key prerequisite for defining and proving properties of the binary projective seminorm.
It is a direct reflection of lifts API in `Mathlib/LinearAlgebra/PiTensorProduct/Basic.lean`.
Specifically, add:
- `FreeAddMonoid.toTensorProduct`: proves that the image of a free monoid element is the sum of its pure tensor components.
- `lifts`: defines the set of all valid monoid representations of a given tensor.
- `nonempty_lifts`: proves that every tensor has at least one representation.
- `lifts_zero`, `lifts_add`, `lifts_smul_left` and `lifts_smul_right`: establish the algebraic behavior of lifts under addition, zero, and scalar multiplication.
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
56/0 |
Mathlib/LinearAlgebra/TensorProduct/Basic.lean |
1 |
2 |
['github-actions'] |
nobody |
7-83623 7 days ago |
7-85594 7 days ago |
7-85542 7 days |
| 38596 |
JJYYY-JJY author:JJYYY-JJY |
feat(LinearAlgebra/Matrix): add row-equivalence and echelon-form API |
This PR adds the first foundational slice of `Mathlib.LinearAlgebra.Matrix.Echelon`, a theorem-oriented API for elementary row operations, row-equivalence, and echelon-form predicates for matrices.
The main additions are:
* elementary row-scaling matrices and their `GL` versions;
* `Matrix.RowEquivalent` for the left action of `GL m R` on rectangular matrices;
* row-zero, pivot, echelon, and reduced-echelon predicates;
* semantic representative predicates `Matrix.IsEchelonFormOf` and `Matrix.IsReducedEchelonFormOf`.
This intentionally stops before row-space characterizations, existence and uniqueness of reduced echelon representatives, and the noncomputable canonical representative `Matrix.rref`; those are planned for later PRs.
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>
---
This update trims the original full row-reduction API in response to reviewer feedback that the PR was too large. It keeps only the foundation needed by later row-reduction and `rref` PRs. |
t-algebra
new-contributor
label:t-algebra$ |
290/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Matrix/Echelon.lean |
2 |
35 |
['JJYYY-JJY', 'SnirBroshi', 'bryangingechen', 'copilot-pull-request-reviewer', 'dagurtomas', 'github-actions', 'mathlib-merge-conflicts', 'mathlib-splicebot', 'themathqueen', 'wwylele'] |
mattrobball assignee:mattrobball |
7-81315 7 days ago |
7-81875 7 days ago |
63-16435 63 days |
| 41902 |
Ljon4ik4 author:Ljon4ik4 |
feat: sum of derivations lemmas |
This PR adds Lemmas showing that derivations are well-behaved with sums.
In order to prove one of them an additive map version of `coe : Derivation R A M → A →ₗ[R] M` is also added.
---
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|
t-ring-theory |
17/0 |
Mathlib/RingTheory/Derivation/Basic.lean |
1 |
8 |
['Ljon4ik4', 'github-actions', 'mathlib-bors', 'wwylele'] |
nobody |
7-76837 7 days ago |
8-2999 8 days ago |
8-2953 8 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 |
7-76426 7 days ago |
7-80258 7 days ago |
7-80206 7 days |
| 38649 |
chrisflav author:chrisflav |
chore(RingTheory): equality of linear map with values in finite module spreads out |
We add some corollaries of `Module.Finite.exists_smul_of_comp_eq_of_isLocalizedModule`.
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|
t-ring-theory
large-import
|
75/1 |
Mathlib/Algebra/Module/FinitePresentation.lean,Mathlib/RingTheory/Localization/BaseChange.lean,Mathlib/RingTheory/Localization/Module.lean |
3 |
2 |
['github-actions'] |
mariainesdff assignee:mariainesdff |
7-68880 7 days ago |
89-19455 89 days ago |
89-19403 89 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 |
7-68879 7 days ago |
46-51481 46 days ago |
47-27046 47 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 |
7-68878 7 days ago |
21-81676 21 days ago |
34-40464 34 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 |
7-68874 7 days ago |
24-14299 24 days ago |
24-14522 24 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'] |
eric-wieser assignee:eric-wieser |
7-62602 7 days ago |
81-20058 81 days ago |
81-20136 81 days |
| 40498 |
wangying11123 author:wangying11123 |
feat(Geometry/Euclidean): unoriented angle eq of oriented angle eq |
This PR adds two theorems to Mathlib/Geometry/Euclidean/Angle/Oriented/Affine.lean
`angle_eq_of_oangle_eq`: If two oriented angles are equal, and the four endpoint pairs are nondegenerate, then the
corresponding unoriented angles are equal.
`angle_eq_of_oangle_eq_not_collinear`: If two oriented angles are equal, and the first triple is not collinear, then the
corresponding unoriented angles are equal. |
new-contributor |
22/0 |
Mathlib/Geometry/Euclidean/Angle/Oriented/Affine.lean |
1 |
5 |
['github-actions', 'plp127'] |
nobody |
7-62096 7 days ago |
45-29872 45 days ago |
45-29871 45 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 |
7-61514 7 days ago |
88-20928 88 days ago |
154-19689 154 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 |
7-59456 7 days ago |
7-60715 7 days ago |
7-60663 7 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
|
70/1 |
Mathlib/Data/List/PeriodicityLemma.lean |
1 |
8 |
['SnirBroshi', 'github-actions', 'theebayuser'] |
nobody |
7-58980 7 days ago |
8-46141 8 days ago |
8-46089 8 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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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
44/3 |
Mathlib/FieldTheory/PrimeField.lean |
1 |
4 |
['copilot-pull-request-reviewer', 'github-actions', 'plp127', 'wwylele'] |
nobody |
7-58398 7 days ago |
7-67874 7 days ago |
7-68343 7 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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[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
101/0 |
Mathlib.lean,Mathlib/RingTheory/LocalProperties/Invertible.lean |
2 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
7-56892 7 days ago |
7-57449 7 days ago |
16-30604 16 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
|
47/1 |
Mathlib/Data/List/Infix.lean |
1 |
3 |
['github-actions', 'theebayuser'] |
nobody |
7-56545 7 days ago |
7-59356 7 days ago |
7-59304 7 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 |
1 |
['github-actions'] |
nobody |
7-56440 7 days ago |
7-58077 7 days ago |
7-58025 7 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 |
7-55428 7 days ago |
9-14946 9 days ago |
30-27939 30 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 |
7-53332 7 days ago |
7-62182 7 days ago |
7-63471 7 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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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
5/1 |
Mathlib/Algebra/Lie/SemiDirect.lean |
1 |
2 |
['github-actions'] |
nobody |
7-39640 7 days ago |
8-22229 8 days ago |
8-22177 8 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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[](https://gitpod.io/from-referrer/)
|
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 |
7-38639 7 days ago |
7-64924 7 days ago |
24-81699 24 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 |
7-36739 7 days ago |
7-38238 7 days ago |
9-72640 9 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 |
7-33456 7 days ago |
7-34203 7 days ago |
71-37932 71 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 |
7-29382 7 days ago |
7-29933 7 days ago |
7-30381 7 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 |
7-22304 7 days ago |
8-20504 8 days ago |
8-20452 8 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 |
7-18689 7 days ago |
7-26763 7 days ago |
30-38502 30 days |
| 41855 |
Nicola9Falciola author:Nicola9Falciola |
feat(LinearAlgebra/Matrix/GeneralLinearGroup/Card): add theorem proving cardinal of matrix |
Add the theorem proving the cardinality formula for `Matrix`
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t-algebra
new-contributor
label:t-algebra$ |
5/0 |
Mathlib/LinearAlgebra/Matrix/GeneralLinearGroup/Card.lean |
1 |
3 |
['felixpernegger', 'github-actions'] |
nobody |
7-18079 7 days ago |
9-33879 9 days ago |
9-33827 9 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 |
7-14223 7 days ago |
7-15310 7 days ago |
7-49521 7 days |
| 41214 |
artie2000 author:artie2000 |
chore(Algebra/Polynomial/Degree): rename lemma |
* Rename `degree_sub_lt` to `degree_sub_lt_left` due to proposed `_right` variation PRed at #37956. Rename suggested at https://github.com/leanprover-community/mathlib4/pull/37956#discussion_r3070265942
This PR is blocking #37956
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t-ring-theory |
12/9 |
Mathlib/Algebra/Polynomial/Degree/Defs.lean,Mathlib/Algebra/Polynomial/Div.lean,Mathlib/Algebra/Polynomial/Sequence.lean,Mathlib/FieldTheory/Minpoly/Field.lean,Mathlib/FieldTheory/Minpoly/IsIntegrallyClosed.lean,Mathlib/LinearAlgebra/Lagrange.lean,Mathlib/RingTheory/Polynomial/Basic.lean,Mathlib/RingTheory/PowerSeries/WeierstrassPreparation.lean |
8 |
1 |
['github-actions', 'themathqueen'] |
nobody |
7-12145 7 days ago |
24-75707 24 days ago |
24-77892 24 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 |
7-9637 7 days ago |
7-10176 7 days ago |
26-4529 26 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 |
7-1339 7 days ago |
7-4136 7 days ago |
7-6908 7 days |
| 41786 |
Nicola9Falciola author:Nicola9Falciola |
feat(LinearAlgebra/Matrix/GeneralLinearGroup/Defs): add the proof of the range of toGL to be the ker of the determinant and the induced equivalence |
Add a lemma proving that the `toGL.range ` is equal to `det.ker` and the induced equivalence between `SL` and `det.ker` .
---
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t-algebra
new-contributor
label:t-algebra$ |
13/0 |
Mathlib/LinearAlgebra/Matrix/GeneralLinearGroup/Defs.lean |
1 |
2 |
['github-actions'] |
nobody |
7-1174 7 days ago |
10-44931 10 days ago |
10-47338 10 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'] |
nobody |
6-84655 6 days ago |
8-20880 8 days ago |
8-20886 8 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 |
6-68736 6 days ago |
6-82479 6 days ago |
6-82427 6 days |
| 41610 |
SnirBroshi author:SnirBroshi |
chore(Logic/Relation): golf using `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 |
8/36 |
Mathlib/Logic/Relation.lean |
1 |
11 |
['SnirBroshi', 'b-mehta', 'chenson2018', 'github-actions', 'grunweg', 'leanprover-radar', 'themathqueen'] |
nobody |
6-61125 6 days ago |
8-71499 8 days ago |
9-8453 9 days |
| 41939 |
mcdoll author:mcdoll |
feat(Topology): iff version of `t2Space_of_one_sep` |
The proofs of the two directions are quite different, so merging them seemed like overkill.
---
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|
|
10/0 |
Mathlib/Topology/Algebra/Group/Pointwise.lean |
1 |
1 |
['github-actions'] |
nobody |
6-58313 6 days ago |
6-69460 6 days ago |
6-71540 6 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 |
6-57698 6 days ago |
6-65132 6 days ago |
6-65080 6 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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|
176/202 |
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 |
18 |
['github-actions', 'grunweg', 'mathlib-merge-conflicts', 'mcdoll'] |
grunweg assignee:grunweg |
6-57015 6 days ago |
6-58270 6 days ago |
20-64907 20 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 |
6-55117 6 days ago |
6-59203 6 days ago |
6-59151 6 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 |
6-49783 6 days ago |
6-69838 6 days ago |
6-69786 6 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 |
6-44759 6 days ago |
10-41630 10 days ago |
10-41735 10 days |
| 41496 |
kebekus author:kebekus |
feat: companion lemmas to `MeromorphicOn.exists_ecanonicalDecomp`, API for the extended canonical decomposition |
To prepare for the proof of the classic Poisson-Jensen formula in the next PR, establish several companion lemmas to `MeromorphicOn.exists_ecanonicalDecomp` that provide an API for using the extended canonical decomposition introduced in #40191.
This material is used in [Project VD](https://github.com/kebekus/ProjectVD), formalizing Value Distribution Theory for meromorphic functions on the complex plane.
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t-analysis |
174/1 |
Mathlib/Analysis/Complex/CanonicalDecomposition.lean |
1 |
11 |
['github-actions', 'j-loreaux', 'kebekus'] |
nobody |
6-41011 6 days ago |
6-41011 6 days ago |
15-66382 15 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 |
6-40839 6 days ago |
6-43951 6 days ago |
6-44665 6 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'] |
riccardobrasca assignee:riccardobrasca |
6-40107 6 days ago |
77-18995 77 days ago |
85-37120 85 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 |
6-39889 6 days ago |
16-63563 16 days ago |
16-63511 16 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'] |
joelriou assignee:joelriou |
6-38053 6 days ago |
14-59085 14 days ago |
79-23983 79 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 |
6-37685 6 days ago |
10-20652 10 days ago |
10-20600 10 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 |
6-36658 6 days ago |
33-40735 33 days ago |
33-40683 33 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 |
6-36641 6 days ago |
33-39925 33 days ago |
33-40441 33 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 |
6-36160 6 days ago |
15-30276 15 days ago |
33-20125 33 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 |
204 |
['YaelDillies', 'eric-wieser', 'github-actions', 'martinwintermath', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'ooovi', 'vihdzp'] |
nobody |
6-36003 6 days ago |
6-36743 6 days ago |
12-31660 12 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 |
6-35817 6 days ago |
31-34774 31 days ago |
31-34722 31 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 |
6-35597 6 days ago |
33-44625 33 days ago |
33-44573 33 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 |
6-27736 6 days ago |
6-69648 6 days ago |
6-69864 6 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 |
6-14196 6 days ago |
10-4299 10 days ago |
10-5289 10 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'] |
alreadydone assignee:alreadydone |
6-13076 6 days ago |
18-85866 18 days ago |
53-21325 53 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 |
6-11260 6 days ago |
7-61766 7 days ago |
7-61714 7 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 |
['github-actions', 'leanprover-radar', 'qawbecrdtey'] |
nobody |
6-10142 6 days ago |
6-12146 6 days ago |
6-12114 6 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 |
269/8 |
Mathlib/CategoryTheory/Abelian/Basic.lean,Mathlib/CategoryTheory/Abelian/Subobject.lean,Mathlib/CategoryTheory/Subobject/Basic.lean,Mathlib/CategoryTheory/Subobject/Lattice.lean,Mathlib/CategoryTheory/Subobject/Limits.lean,docs/references.bib |
6 |
6 |
['github-actions', 'justus-springer', 'mckoen', 'tb65536'] |
nobody |
6-7276 6 days ago |
10-23427 10 days ago |
11-681 11 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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[](https://gitpod.io/from-referrer/)
|
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 |
5-68880 5 days ago |
72-32059 72 days ago |
73-5983 73 days |
| 38594 |
ScottCarnahan author:ScottCarnahan |
feat(Algebra/Lie): grading on loop algebras |
In this PR we introduce a decomposition of a tensor product of modules induced by a decomposition of the module on the left side. This is used to produce the canonical "energy" grading on a loop Lie algebra. This will (eventually) give us the "energy" grading on smooth representations of affine algebras.
---
Should I make the tensor decomposition more ring-polymorphic?
- [x] depends on: #41550
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
135/9 |
Mathlib/Algebra/Lie/Loop.lean,Mathlib/LinearAlgebra/DirectSum/TensorProduct.lean,Mathlib/LinearAlgebra/TensorProduct/Decomposition.lean |
3 |
16 |
['ScottCarnahan', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib-splicebot', 'themathqueen'] |
joelriou assignee:joelriou |
5-68878 5 days ago |
8-44438 8 days ago |
55-13680 55 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 |
5-68877 5 days ago |
65-36439 65 days ago |
65-36987 65 days |
| 39818 |
Ljon4ik4 author:Ljon4ik4 |
feat: Transferring Lie Algebra structures along Equivalences |
This pr adds the functionality to transfer Lie brackets along equivalences (additive, linear and plain ones).
I followed the scheme of the existing `TransferInstance.lean` file.
For one of the proofs, I also needed `linearEquiv_apply `, which seemed missing so I added it.
AI use disclaimer: I used claude to search for lemmas/ understand error messages / proofreading and feedback, but wrote the whole code myself.
---
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|
t-algebra label:t-algebra$ |
124/0 |
Mathlib.lean,Mathlib/Algebra/Lie/TransferInstance.lean,Mathlib/Algebra/Module/TransferInstance.lean |
3 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
ocfnash assignee:ocfnash |
5-68876 5 days ago |
9-40409 9 days ago |
61-85696 61 days |
| 40537 |
SnkXyx author:SnkXyx |
feat(Algebra/MvPolynomial/Variables): define main degree |
This PR defines the **main degree** of a multivariate polynomial:
* `MvPolynomial.mainDegree p : Multiset σ` :
When `σ` is a linear order, `mainDegree p` is the multiset consisting of the maximal variable
among all variables appearing in `p`, appearing with its largest multiplicity among all monomials
in `p`.
The definition was originally developed in PR #36103 as part of the formalization of the Characteristic Set Method (Wu-Ritt Method). The Characteristic Set project aims to formalize the algorithmic method for solving systems of multivariate polynomial equations in Lean 4, providing foundational infrastructure for algebraic geometry based on triangular decomposition.
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
112/23 |
Mathlib/Algebra/MvPolynomial/CommRing.lean,Mathlib/Algebra/MvPolynomial/Degrees.lean,Mathlib/Algebra/MvPolynomial/Equiv.lean,Mathlib/Algebra/MvPolynomial/SchwartzZippel.lean,Mathlib/Algebra/MvPolynomial/Variables.lean,Mathlib/FieldTheory/SeparablyGenerated.lean,Mathlib/RingTheory/MvPolynomial/Basic.lean,Mathlib/RingTheory/MvPolynomial/Homogeneous.lean,Mathlib/RingTheory/MvPolynomial/MonomialOrder/DegLex.lean,Mathlib/RingTheory/MvPowerSeries/Trunc.lean,Mathlib/RingTheory/Polynomial/Basic.lean,Mathlib/RingTheory/Spectrum/Prime/ChevalleyComplexity.lean |
12 |
14 |
['SnkXyx', 'faenuccio', 'github-actions', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
5-67979 5 days ago |
28-28890 28 days ago |
36-59053 36 days |
| 40648 |
felixpernegger author:felixpernegger |
chore(MeasureTheory/MeasurableSpace/Constructions): remove some defeq abuse |
---
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[](https://gitpod.io/from-referrer/)
|
tech debt |
7/2 |
Mathlib/MeasureTheory/MeasurableSpace/Constructions.lean,Mathlib/Order/Disjointed.lean |
2 |
2 |
['github-actions', 'wwylele'] |
nobody |
5-67977 5 days ago |
40-67596 40 days ago |
40-67562 40 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'] |
nobody |
5-63741 5 days ago |
5-64284 5 days ago |
5-64500 5 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'] |
nobody |
5-57756 5 days ago |
5-57756 5 days ago |
7-13536 7 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 |
5-50291 5 days ago |
5-50841 5 days ago |
5-54163 5 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 |
5-46162 5 days ago |
9-18868 9 days ago |
9-18817 9 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 |
5-40425 5 days ago |
6-1590 6 days ago |
6-1538 6 days |
| 37959 |
artie2000 author:artie2000 |
feat(LinearAlgebra/Dimension/Free): isomorphic to base ring iff rank is one |
---
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t-algebra
maintainer-merge
label:t-algebra$ |
18/10 |
Mathlib/LinearAlgebra/Dimension/Free.lean |
1 |
30 |
['artie2000', 'github-actions', 'mathlib-merge-conflicts', 'themathqueen'] |
themathqueen assignee:themathqueen |
5-35394 5 days ago |
6-14178 6 days ago |
28-74277 28 days |
| 41663 |
korbonits author:korbonits |
feat(Topology/Connected): local (path-)connectedness of products and pi types |
Add product and pi instances for `LocallyConnectedSpace` and `LocallyPathConnectedSpace`, together with a full characterization of local (path-)connectedness of pi types:
- `Prod.locallyConnectedSpace` / `Prod.locallyPathConnectedSpace`: binary products.
- `Pi.locallyConnectedSpace_of_finite_nonpreconnected` / `Pi.locallyPathConnectedSpace_of_finite_nonpathconnected`: a product of locally (path-)connected spaces is locally (path-)connected provided all but finitely many factors are preconnected (resp. path-connected). The `Finite ι` and all-factors-preconnected (resp. path-connected) instances are corollaries.
- `Pi.locallyConnectedSpace_iff` / `Pi.locallyPathConnectedSpace_iff`: a product is locally (path-)connected iff it is empty or the above conditions hold.
- `Topology.IsQuotientMap.locallyConnectedSpace`: quotients of locally connected spaces are locally connected (used for the forward direction via the projections; the analogous `IsQuotientMap.locallyPathConnectedSpace` already existed).
---
Follow-up to #40092.
AI disclosure
- level: Level 5 / Level 6 in [the link shared](https://www.visidata.org/blog/2026/ai/#self-assessed-ai-level-for-contributions) -- I feel confident about the math but I am still learning Lean itself
- code: most of the Lean in this PR was drafted by Claude Code (statements, proofs, docstrings).
- direction and review: I chose the contribution, made the decisions (e.g., PathConnectedSpace for the path-side hypothesis, strengthening the helper to quotient maps, deferring Quot instances), reviewed every line, and wrote all GitHub/Zulip comments.
- testing: I ran local `lake build` of files and `lake env lean` of some test files (uncommitted) |
t-topology
new-contributor
LLM-generated
|
184/0 |
Mathlib/Topology/Connected/Basic.lean,Mathlib/Topology/Connected/LocallyConnected.lean,Mathlib/Topology/Connected/LocallyPathConnected.lean |
3 |
25 |
['CoolRmal', 'github-actions', 'grunweg', 'korbonits'] |
CoolRmal assignee:CoolRmal |
5-17057 5 days ago |
5-43921 5 days ago |
10-45759 10 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 |
5-5991 5 days ago |
48-2533 48 days ago |
48-22439 48 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` |
---
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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. |
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 |
5-4257 5 days ago |
5-5209 5 days ago |
41-82644 41 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
|
60/4 |
Mathlib/Analysis/Matrix/Normed.lean,MathlibTest/MatrixNormTopology.lean |
2 |
2 |
['github-actions'] |
nobody |
5-217 5 days ago |
5-901 5 days ago |
5-849 5 days |
| 41978 |
rosborn author:rosborn |
feat(SetTheory/Cardinal): strong induction on Nat.card for finite types |
Add the `Finite` analogue for `induction_subsingleton_or_nontrivial`.
---
This version uses a bare motive `Type* → Prop` since `Finite` carries no data. This allows it to be used directly with the induction tactic. I've found I've needed this when working with finite groups. It also cleans up the current `IsPGroup.isNilpotent` proof.
|
t-set-theory |
27/17 |
Mathlib/GroupTheory/Nilpotent.lean,Mathlib/SetTheory/Cardinal/NatCard.lean |
2 |
1 |
['github-actions'] |
nobody |
4-85377 4 days ago |
5-22595 5 days ago |
5-22543 5 days |
| 41088 |
Brian-Nugent author:Brian-Nugent |
feat(Topology): sheafRestrict is a right adjoint |
---
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|
t-topology
maintainer-merge
|
5/0 |
Mathlib/Topology/Sheaves/Over.lean |
1 |
3 |
['Brian-Nugent', 'github-actions', 'j-loreaux'] |
j-loreaux assignee:j-loreaux |
4-77802 4 days ago |
30-8711 30 days ago |
30-8659 30 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 |
4-73979 4 days ago |
4-74611 4 days ago |
62-21333 62 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 |
4-73790 4 days ago |
11-67822 11 days ago |
11-69596 11 days |
| 41486 |
TTony2019 author:TTony2019 |
feat(Analysis/Convex/Intrinsic): add open segment intrinsic interior results |
Add open segment intrinsic interior results: `x ∈ intrinsicInterior 𝕜 C` and `y ∈ intrinsicClosure 𝕜 C`, then the open segment
from `x` to `y` stays in `intrinsicInterior 𝕜 C`.
Co-authored-by: Zichen Wang <imathwy@users.noreply.github.com> |
t-topology
new-contributor
t-analysis
|
68/0 |
Mathlib/Analysis/Convex/Intrinsic.lean,Mathlib/Analysis/Convex/Topology.lean,Mathlib/Topology/Algebra/Module/Basic.lean,Mathlib/Topology/Homeomorph/Defs.lean |
4 |
5 |
['TTony2019', 'github-actions', 'j-loreaux'] |
urkud assignee:urkud |
4-72248 4 days ago |
18-37262 18 days ago |
18-37210 18 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 |
4-68880 4 days ago |
63-57758 63 days ago |
63-57706 63 days |
| 41324 |
luigi-massacci author:luigi-massacci |
feat: multiplication by a regular function in D^n_{K} as CLM (bilinear form version) |
Preliminary lemma for multiplication of a classical distribution by a regular function. The proof is essentially the same as that for `TemperedDistribution`, modulo details.
---
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|
t-analysis |
107/11 |
Mathlib/Analysis/Distribution/ContDiffMapSupportedIn.lean |
1 |
9 |
['github-actions', 'luigi-massacci', 'mcdoll'] |
j-loreaux assignee:j-loreaux |
4-68878 4 days ago |
18-36129 18 days ago |
23-23808 23 days |
| 41348 |
mkaratarakis author:mkaratarakis |
feat(Tactic/ComputablePolynomial): define MvDegrees, exponent vectors for multivariate polynomials |
`MvDegrees nvars` is an exponent vector for a monomial in `nvars` variables: an array of per-variable exponents with its cached total degree, with pointwise addition (`AddCommMonoid`) and the `List`/`Array` folding lemmas the computable multivariate polynomial library (`MvSparsePoly`) is built on.
This is part 1 of the multivariate series splitting #41283 into ≤300-line PRs as requested by reviewers. The series builds up to `MvSparsePoly`, its `CommRing`/`Algebra` instances, and the axiom-free tactics `mv_decide` (ring identities of `MvPolynomial`) and `mv_mem` (ideal membership).
Based on the univariate `SparsePoly` (#41339); 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`).
🤖 Generated with [Claude Code](https://claude.com/claude-code)
|
t-meta |
301/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/ComputablePolynomial/MvDegrees.lean |
3 |
2 |
['github-actions'] |
thorimur assignee:thorimur |
4-68877 4 days ago |
22-43968 22 days ago |
22-44135 22 days |
| 41477 |
lucifer1004 author:lucifer1004 |
feat(Analysis/InnerProductSpace): add Hilbert-Schmidt inner product and norm |
This PR adds the Hilbert-Schmidt (Frobenius) inner product and norm on linear maps `E →ₗ[𝕜] F` between finite-dimensional inner product spaces over an `RCLike` field, built through `InnerProductSpace.Core`. The instances are scoped under `LinearMap.Norms.HilbertSchmidt` (rather than global, since `E →ₗ[𝕜] F` should not carry a canonical norm), mirroring the `Matrix.Norms.Frobenius` convention.
Main declarations:
- `LinearMap.hilbertSchmidtCore`
- `LinearMap.hilbertSchmidtNormedAddCommGroup`
- `LinearMap.hilbertSchmidtInnerProductSpace`
- `LinearMap.trace_adjoint_comp_eq_sum_inner`
- `LinearMap.hilbertSchmidt_inner_eq_trace`
- `LinearMap.hilbertSchmidt_norm_sq_eq_re_trace`
- `LinearMap.hilbertSchmidt_norm_sq_eq_sum_norm_sq`
This is the foundation for a sequence of PRs proving the Eckart-Young-Mirsky best low-rank approximation theorems on top of `LinearMap.singularValues`; see the notes below the fold.
Verification:
- Builds
- `runLinter` passes
- `lint-style` clean
- No `sorry`
AI use disclosure: this PR was developed with the assistance of Claude (via Claude Code), which was used to draft and refactor the Lean proofs under my direction. I have reviewed the final code, can justify the design decisions, and take responsibility for it.
---
Following review feedback on Zulip, the original four-file PR has been split; this PR now contains only the Hilbert-Schmidt norm, and the proofs across all four files have been refactored to be more compact. The follow-ups are:
- Ky Fan inequality + Eckart-Young in Frobenius norm (branch `eckart-young-frobenius`, depends on this PR);
- the operator norm equals the largest singular value (branch `opnorm-singular-values`, independent);
- Eckart-Young in operator norm (branch `eckart-young-spectral`, independent).
I would especially appreciate feedback on whether the scoped `LinearMap.Norms.HilbertSchmidt` instance is the right API here, or whether a type-synonym approach (à la `WithLp`) would be preferred.
|
t-analysis
new-contributor
LLM-generated
|
120/0 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/HilbertSchmidt.lean |
2 |
3 |
['github-actions', 'ocfnash'] |
j-loreaux assignee:j-loreaux |
4-68876 4 days ago |
18-57885 18 days ago |
18-57833 18 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'] |
ADedecker assignee:ADedecker |
4-68875 4 days ago |
6-58326 6 days ago |
6-68168 6 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 |
4-43549 4 days ago |
4-47139 4 days ago |
4-47242 4 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
|
51/0 |
Mathlib/Analysis/SpecialFunctions/Log/PosLog.lean |
1 |
1 |
['github-actions'] |
nobody |
4-41061 4 days ago |
4-41839 4 days ago |
4-41787 4 days |
| 42002 |
philipp-svinger author:philipp-svinger |
feat(Analysis/ODE): add Peano existence theorem |
Add the proof of the Peano existence theorem for ODEs, using Tonelli approximations.
Implement the structure IsPeano similar to IsPicardLindelof. Construct a sequence of approximations using Tonelli technique. Prove existence of a limit by Arzela-Ascoli.
Conclude by proving it solves the initial value problem.
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>
---
For formalizing the main theorem, we followed the existing lean code for the Picard-Lindelof ODE theorem.
AI was used to help us to adapt our code the style and naming conventions. We also used it in the process of writing a documentation.
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|
t-analysis
new-contributor
|
671/0 |
Mathlib.lean,Mathlib/Analysis/ODE/Peano.lean |
2 |
2 |
['github-actions'] |
nobody |
4-32879 4 days ago |
4-33436 4 days ago |
4-33384 4 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 |
13 |
['WilliamCoram', 'github-actions', 'j-loreaux'] |
j-loreaux assignee:j-loreaux |
4-24269 4 days ago |
4-25796 4 days ago |
31-42722 31 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 |
4-22071 4 days ago |
7-66145 7 days ago |
7-66093 7 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 |
353/0 |
Mathlib.lean,Mathlib/CategoryTheory/Monoidal/Preadditive.lean,Mathlib/CategoryTheory/Quotient/Monoidal.lean |
3 |
2 |
['github-actions', 'joelriou'] |
nobody |
4-20796 4 days ago |
4-21432 4 days ago |
4-34958 4 days |
| 42006 |
ybenmeur author:ybenmeur |
chore(FGModuleCat/EssentiallySmall): generalize to `Ring` |
Replace the `CommRing` instance with `Ring`.
---
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|
t-algebra
easy
new-contributor
label:t-algebra$ |
1/1 |
Mathlib/Algebra/Category/FGModuleCat/EssentiallySmall.lean |
1 |
2 |
['github-actions'] |
nobody |
4-17395 4 days ago |
4-18427 4 days ago |
4-18375 4 days |
| 41996 |
vlad902 author:vlad902 |
fix(CategoryTheory/Monoidal/Cartesian/Over): add more adaptation notes |
These lemmas all have their `_assoc` generated lemma type signatures change if the associated `set_option` is deleted. Add an `#adaptation_note` so these are not automatically deleted by `rm_set_option.py`.
This is a follow-up to #41837 and [this Zulip thread](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/4.2E33.2E0-rc1.20Multiple.20.60respectTransparency.60-related.20issues/near/611153200).
---
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|
t-category-theory |
30/0 |
Mathlib/CategoryTheory/Monoidal/Cartesian/Over.lean |
1 |
1 |
['github-actions'] |
nobody |
4-16884 4 days ago |
4-51200 4 days ago |
4-51148 4 days |
| 39574 |
FordUniver author:FordUniver |
feat(Analysis/Calculus/LipschitzSmooth): add `LipschitzSmoothWith` and `CocoerciveWith` |
Introduces `LipschitzSmoothWith K f` on a normed real vector space and `CocoerciveWith K f` on a Hilbert space. `LipschitzSmoothWith` is opaque with characterisations in four derivative-flavoured forms (directional, Fréchet, 1D, gradient) under appropriate differentiability hypotheses, plus descent-inequality extractors and variance bounds; `CocoerciveWith` is an `abbrev` with the elementary direction `K`-cocoercive ⟹ `K`-Lipschitz gradient.
Co-authored-by: Sebastian Pokutta <23001135+pokutta@users.noreply.github.com>
---
The `lineDeriv` form is the internal canonical form because it does not presuppose Fréchet differentiability; the `@[expose]` annotation is deliberately omitted so that downstream code reaches the predicate through the named iff/extractor API rather than direct destruction, treating the choice as an implementation detail. The `K / 2` convention is chosen so that the descent lemma is constant-preserving: a function with `K`-Lipschitz Fréchet derivative is exactly `K`-smooth in this sense.
This PR is intentionally minimal and contains only the definition and some basic `rw` and `apply` lemmas. I have some follow up PRs planned (not fully polished yet) that establish the usual implications plus pre-requisites:
1. **Descent lemma.** Derives `LipschitzSmoothWith K f` from `LipschitzWith K (fderiv ℝ f)` (and its 1D / gradient variants) under `Differentiable ℝ f`, via segment-level FTC. [diff](https://github.com/FordUniver/mathlib4/compare/diffbase/lipschitzSmooth-descent...feat/lipschitzSmooth-descent)
2. **First-order convex inequalities.** Adds `ConvexOn.add_{lineDeriv,fderiv,gradient,deriv}_le` (and strict variants + concave duals) — the tangent-line-lower-bound characterisations of `ConvexOn`. [diff](https://github.com/FordUniver/mathlib4/compare/diffbase/convex-first-order-inequalities...feat/convex-first-order-inequalities)
3. **Baillon-Haddad theorem and convex equivalences.** Under `ConvexOn ℝ Set.univ f` + `Differentiable ℝ f`, `LipschitzSmoothWith K f → CocoerciveWith K f`, closing the four-way equivalence with `LipschitzWith K (fderiv ℝ f)` and `LipschitzWith K (∇ f)`. [diff](https://github.com/FordUniver/mathlib4/compare/diffbase/lipschitzSmooth-convex...feat/lipschitzSmooth-convex)
4. **Continuity and the `K = 0` boundary case.** A continuity statement `LipschitzSmoothWith K f → Continuous f` (non-trivial in the general non-differentiable case), and the characterisation `LipschitzSmoothWith 0 f ↔ ConcaveOn ℝ Set.univ f` under differentiability.
5. **Algebraic preservation lemmas.** `LipschitzSmoothWith` closed under `+` (with `K₁ + K₂`), `c •` for `c ≥ 0` (with `c · K`), composition with affine maps (with `‖A.linear‖² · K`). [diff](https://github.com/FordUniver/mathlib4/compare/feat/lipschitzSmooth-basic...feat/lipschitzSmooth-algebra)
Beyond those, larger-picture generalisations remain open: a set-restricted version `LipschitzSmoothOnWith K f s` (with `s` a convex subset, parallel to the standard pattern for `ConvexOn`, `LipschitzOn`, etc.), and possibly broadening the base field / target away from `ℝ` (e.g. complex Hilbert spaces; vector-valued targets would require a different right-hand side and likely a separate predicate).
The only unmerged upstream dependency is #39203, needed for the gradient-form characterisations. The base definition and the directional / Fréchet / 1D characterisations are independent of any unmerged work.
- [x] depends on: #39203
- [x] depends on: #14502
Diff for the changes *just* in this PR over its predecessor: [link](https://github.com/FordUniver/mathlib4/compare/refactor/gradient-ungate-inner-lemmas...feat/lipschitzSmooth-basic) |
t-analysis |
418/0 |
Mathlib.lean,Mathlib/Analysis/Calculus/LipschitzSmooth/Basic.lean,Mathlib/Analysis/Calculus/LipschitzSmooth/Deriv.lean,Mathlib/Analysis/Calculus/LipschitzSmooth/FDeriv.lean,Mathlib/Analysis/Calculus/LipschitzSmooth/Gradient.lean |
5 |
27 |
['FordUniver', 'Komyyy', 'github-actions', 'j-loreaux', 'mathlib-dependent-issues', 'mathlib-splicebot'] |
j-loreaux assignee:j-loreaux |
4-16025 4 days ago |
4-18786 4 days ago |
35-69920 35 days |
| 41731 |
mpacholski author:mpacholski |
feat(Topology/Algebra/Module/Spaces/ContinuousLinearMap): convert `toLinearMap₁₂` to a linear map |
Convert the projection `toLinearMap₁₂` (which strips the topology from a continuous semibilinear map) to a linear map, by showing that it preserves addition and scalar multiplication. We also rename `toLinearMap₁₂_apply` to `toLinearMap₁₂_apply_apply_apply` without deprecation so that we can have `_apply` be a different lemma.
---
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|
t-topology
new-contributor
tech debt
maintainer-merge
|
11/9 |
Mathlib/Analysis/Fourier/FourierTransformDeriv.lean,Mathlib/MeasureTheory/Measure/CharacteristicFunction/TaylorExpansion.lean,Mathlib/Topology/Algebra/Module/Spaces/ContinuousLinearMap.lean |
3 |
24 |
['github-actions', 'mpacholski', 'pechersky', 'themathqueen'] |
nobody |
4-15112 4 days ago |
8-1165 8 days ago |
9-45027 9 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 |
4-15084 4 days ago |
4-15732 4 days ago |
11-31729 11 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'] |
nobody |
4-13948 4 days ago |
11-133 11 days ago |
11-87 11 days |
| 40019 |
grunweg author:grunweg |
chore: golf using fun_prop |
Partially enabled through #35683.
---
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|
15/31 |
Counterexamples/TopologistsSineCurve.lean,Mathlib/Analysis/Convex/Contractible.lean,Mathlib/Condensed/Discrete/LocallyConstant.lean,Mathlib/Condensed/Light/Sequence.lean,Mathlib/MeasureTheory/Constructions/Polish/Basic.lean,Mathlib/MeasureTheory/Function/SpecialFunctions/Basic.lean |
6 |
1 |
['github-actions'] |
nobody |
4-12018 4 days ago |
4-14177 4 days ago |
26-80115 26 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 |
4-11924 4 days ago |
4-14570 4 days ago |
25-1996 25 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 |
343/114 |
Mathlib/Dynamics/Ergodic/Conservative.lean,Mathlib/Dynamics/Ergodic/MeasurePreserving.lean,Mathlib/MeasureTheory/Measure/QuasiMeasurePreserving.lean,Mathlib/Order/Filter/Basic.lean,Mathlib/Order/Filter/CountableInter.lean,Mathlib/Order/Interval/Finset/Basic.lean |
6 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
ADedecker assignee:ADedecker |
4-7766 4 days ago |
4-10723 4 days ago |
13-74927 13 days |
| 41666 |
alreadydone author:alreadydone |
feat(Order): constructors for DistribLattice and IsModularLattice |
Add three constructors for DistribLattice and one for IsModularLattice.
Co-authored-by: Aaron Liu @plp127
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t-order |
142/54 |
Mathlib.lean,Mathlib/Order/Lattice.lean,Mathlib/Order/Lattice/Constructor.lean,Mathlib/Order/ModularLattice.lean |
4 |
12 |
['SnirBroshi', 'alreadydone', 'github-actions', 'leanprover-radar', 'plp127'] |
nobody |
4-1473 4 days ago |
13-19550 13 days ago |
13-67834 13 days |
| 41933 |
felixpernegger author:felixpernegger |
chore: prefer `beta_reduce` over `(d)simp only` |
Insired by discussion at #38989.
This PR replaces `(d)simp only` (with no arguments) with the slightly cheaper `beta_reduce` whenever that works and doesnt change the goal. This also increases code readability a bit
More could be replaced if we allow the goal to be changed. Additonally, some of the `simp only` could be removed entirely (I dont think doing either one of those is good though).
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|
196/196 |
Mathlib/Algebra/Category/Grp/EpiMono.lean,Mathlib/Algebra/Category/ModuleCat/ChangeOfRings.lean,Mathlib/Algebra/DirectSum/Idempotents.lean,Mathlib/Algebra/DirectSum/Internal.lean,Mathlib/Algebra/GroupWithZero/WithZero.lean,Mathlib/Algebra/MonoidAlgebra/NoZeroDivisors.lean,Mathlib/Algebra/MvPolynomial/Derivation.lean,Mathlib/Algebra/Order/CauSeq/BigOperators.lean,Mathlib/Algebra/Order/Module/HahnEmbedding.lean,Mathlib/Algebra/Polynomial/Monic.lean,Mathlib/AlgebraicGeometry/IdealSheaf/Basic.lean,Mathlib/AlgebraicGeometry/Morphisms/AffineAnd.lean,Mathlib/AlgebraicGeometry/Morphisms/SurjectiveOnStalks.lean,Mathlib/Analysis/Asymptotics/TVS.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Continuity.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Order.lean,Mathlib/Analysis/CStarAlgebra/Unitary/Connected.lean,Mathlib/Analysis/CStarAlgebra/Unitization.lean,Mathlib/Analysis/Calculus/ContDiff/FaaDiBruno.lean,Mathlib/Analysis/Calculus/FDeriv/Analytic.lean,Mathlib/Analysis/Calculus/LHopital.lean,Mathlib/Analysis/Calculus/ParametricIntegral.lean,Mathlib/Analysis/Complex/ValueDistribution/Cartan.lean,Mathlib/Analysis/Convex/Gauge.lean,Mathlib/Analysis/Fourier/AddCircle.lean,Mathlib/Analysis/Fourier/AddCircleMulti.lean,Mathlib/Analysis/InnerProductSpace/Projection/FiniteDimensional.lean,Mathlib/Analysis/MellinTransform.lean,Mathlib/Analysis/Normed/Algebra/Exponential.lean,Mathlib/Analysis/Normed/Lp/lpSpace.lean,Mathlib/Analysis/Normed/Unbundled/SpectralNorm.lean,Mathlib/Analysis/SpecialFunctions/CompareExp.lean,Mathlib/Analysis/SpecialFunctions/Gamma/Basic.lean,Mathlib/Analysis/SpecialFunctions/Gaussian/GaussianIntegral.lean,Mathlib/Analysis/SpecialFunctions/ImproperIntegrals.lean,Mathlib/Analysis/SpecialFunctions/Integrability/Basic.lean,Mathlib/Analysis/SpecialFunctions/Log/Monotone.lean,Mathlib/Analysis/SpecialFunctions/Pow/Continuity.lean,Mathlib/Analysis/SpecialFunctions/Pow/Integral.lean,Mathlib/CategoryTheory/Bicategory/End.lean,Mathlib/CategoryTheory/Limits/Fubini.lean,Mathlib/Combinatorics/Hall/Basic.lean,Mathlib/Combinatorics/Hall/Finite.lean,Mathlib/Computability/PartrecCode.lean,Mathlib/Computability/RE.lean,Mathlib/Computability/TuringMachine/Config.lean,Mathlib/Computability/TuringMachine/ToPartrec.lean,Mathlib/Data/DFinsupp/Defs.lean,Mathlib/Data/ENat/Pow.lean,Mathlib/Data/EReal/Inv.lean,Mathlib/Data/List/NodupEquivFin.lean,Mathlib/Data/Nat/Factorization/Basic.lean,Mathlib/Data/Nat/Factorization/LCM.lean,Mathlib/Data/Setoid/Partition.lean,Mathlib/FieldTheory/CardinalEmb.lean,Mathlib/Geometry/Euclidean/Incenter.lean,Mathlib/Geometry/Euclidean/Triangle.lean,Mathlib/Geometry/Manifold/Riemannian/PathELength.lean,Mathlib/GroupTheory/CoprodI.lean,Mathlib/GroupTheory/Coxeter/Basic.lean,Mathlib/GroupTheory/Divisible.lean,Mathlib/GroupTheory/GroupAction/Basic.lean,Mathlib/GroupTheory/GroupAction/MultiplePrimitivity.lean,Mathlib/GroupTheory/GroupAction/Quotient.lean,Mathlib/GroupTheory/HNNExtension.lean,Mathlib/GroupTheory/Nilpotent.lean,Mathlib/GroupTheory/OrderOfElement.lean,Mathlib/GroupTheory/QuotientGroup/Defs.lean,Mathlib/GroupTheory/SpecificGroups/Cyclic/Basic.lean,Mathlib/GroupTheory/Sylow.lean,Mathlib/LinearAlgebra/AffineSpace/Independent.lean,Mathlib/LinearAlgebra/Lagrange.lean,Mathlib/LinearAlgebra/Matrix/Adjugate.lean,Mathlib/LinearAlgebra/Matrix/Determinant/Basic.lean,Mathlib/LinearAlgebra/Matrix/Rank.lean,Mathlib/LinearAlgebra/Matrix/SpecialLinearGroup.lean,Mathlib/LinearAlgebra/Matrix/ZPow.lean,Mathlib/LinearAlgebra/PiTensorProduct/Basic.lean,Mathlib/LinearAlgebra/RootSystem/Finite/Nondegenerate.lean,Mathlib/LinearAlgebra/RootSystem/OfBilinear.lean,Mathlib/LinearAlgebra/SpecialLinearGroup.lean,Mathlib/MeasureTheory/Constructions/BorelSpace/Real.lean,Mathlib/MeasureTheory/Function/AbsolutelyContinuous.lean,Mathlib/MeasureTheory/Function/ConditionalExpectation/CondexpL2.lean,Mathlib/MeasureTheory/Function/L2Space.lean,Mathlib/MeasureTheory/Function/LpSpace/Complete.lean,Mathlib/MeasureTheory/Function/LpSpace/Indicator.lean,Mathlib/MeasureTheory/Integral/Bochner/Basic.lean,Mathlib/MeasureTheory/Integral/Lebesgue/Basic.lean,Mathlib/MeasureTheory/Integral/RieszMarkovKakutani/Basic.lean,Mathlib/MeasureTheory/Integral/SetToL1.lean,Mathlib/MeasureTheory/MeasurableSpace/Prod.lean,Mathlib/NumberTheory/Harmonic/ZetaAsymp.lean,Mathlib/NumberTheory/JacobiSum/Basic.lean,Mathlib/NumberTheory/MulChar/Basic.lean,Mathlib/NumberTheory/NumberField/CMField.lean,Mathlib/NumberTheory/RamificationInertia/HilbertTheory.lean,Mathlib/Order/Category/NonemptyFinLinOrd.lean,Mathlib/Order/CountableSupClosed.lean,Mathlib/Order/Filter/Finite.lean |
132 |
3 |
['felixpernegger', 'github-actions', 'leanprover-radar'] |
nobody |
4-843 4 days ago |
6-83909 6 days ago |
6-83895 6 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 |
3-79280 3 days ago |
4-5298 4 days ago |
4-5575 4 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 |
3-76348 3 days ago |
3-77904 3 days ago |
3-78802 3 days |
| 41694 |
tb65536 author:tb65536 |
feat: finrank is preserved by `IsFractionRing` |
This PR gives a direct proof of `Algebra.IsAlgebraic.finrank_of_isFractionRing` which avoids any additional assumptions beyond those required for the statement (including `Algebra.IsAlgebraic`).
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t-ring-theory
t-algebra
label:t-algebra$ |
52/7 |
Mathlib/FieldTheory/Galois/IsGaloisGroup.lean,Mathlib/LinearAlgebra/Dimension/Localization.lean,Mathlib/RingTheory/Algebraic/Integral.lean |
3 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
3-75638 3 days ago |
3-75685 3 days ago |
3-75634 3 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 |
3-68882 3 days ago |
31-12387 31 days ago |
99-9230 99 days |
| 41460 |
SnirBroshi author:SnirBroshi |
feat(SimpleGraph/Walk/Operations): more operations API |
---
Moved `support_tail_of_not_nil` up because `reverse_dropLast` uses it as a `simp` lemma.
Tagged it with `simp` makes `cons_support_tail` work `by simp`, so I also untagged `cons_support_tail`.
You may wonder whether we need `mapLe` API if it's an `abbrev` for `map`; the answer is you can't `rw`/`simp` goals with `mapLe` using `map` API because these tactics do not unfold the `Hom.ofLE` (and then `id`) applications in the endpoints of the walk, since it isn't reducible (even though `mapLe` itself is). The definition of `mapLe` is actually an `abbrev` plus a non-reducibly defeq type change.
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t-combinatorics
tech debt
|
86/15 |
Mathlib/Combinatorics/SimpleGraph/Walk/Decomp.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Maps.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Operations.lean |
3 |
5 |
['SnirBroshi', 'github-actions', 'vlad902'] |
JovanGerb assignee:JovanGerb |
3-68880 3 days ago |
18-65768 18 days ago |
18-67593 18 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 |
3-67980 3 days ago |
25-35044 25 days ago |
56-84488 56 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'] |
nobody |
3-67979 3 days ago |
25-36105 25 days ago |
37-82304 37 days |
| 40998 |
kbuzzard author:kbuzzard |
chore: remove tangent space backward respect transparency |
Is this the sort of thing we should be doing?
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|
t-differential-geometry |
2/3 |
Mathlib/Geometry/Manifold/IsManifold/Basic.lean |
1 |
2 |
['Parcly-Taxel', 'github-actions'] |
nobody |
3-67270 3 days ago |
32-27308 32 days ago |
32-27256 32 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 |
3-64676 3 days ago |
3-86286 3 days ago |
3-86234 3 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 |
3-52391 3 days ago |
5-44419 5 days ago |
6-18543 6 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 |
3-45908 3 days ago |
3-50951 3 days ago |
3-53473 3 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 |
3-43817 3 days ago |
8-38280 8 days ago |
21-34717 21 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
|
169/0 |
Mathlib.lean,Mathlib/Analysis/Complex/ValueDistribution/SecondMainTheorem.lean |
2 |
1 |
['github-actions'] |
nobody |
3-43653 3 days ago |
3-43653 3 days ago |
3-43601 3 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'] |
kim-em assignee:kim-em |
3-41221 3 days ago |
37-24336 37 days ago |
123-15999 123 days |
| 40535 |
smmercuri author:smmercuri |
feat: notation for adele rings |
Notation:
- `K∞` : `NumberField.InfiniteAdeleRing K`;
- `𝔸ᶠ[R, K]`: `IsDedekindDomain.FiniteAdeleRing R K`;
- `𝔸[R, K]` : `NumberField.AdeleRing R K`;
- specialisations `𝔸ᶠ[K]` and `𝔸[K]` to `R = RingOfIntegers K`.
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|
t-number-theory
FLT
|
44/36 |
Mathlib/NumberTheory/NumberField/AdeleRing.lean,Mathlib/NumberTheory/NumberField/InfiniteAdeleRing.lean,Mathlib/RingTheory/DedekindDomain/FiniteAdeleRing.lean |
3 |
4 |
['MichaelStollBayreuth', 'github-actions', 'mathlib-merge-conflicts', 'smmercuri'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
3-40868 3 days ago |
12-48523 12 days ago |
44-17242 44 days |
| 31222 |
Thmoas-Guan author:Thmoas-Guan |
feat(Algebra): `Hom` commute with flat base change |
In this PR, we proved `Hom_S (M \tensor S, N \tensor S)` is base change of `Hom_R (M, N)` with respect to `LinearMap.baseChangeHom`.
Co-authored-by: Wang Jingting <wangjt2020@163.com>
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|
large-import
t-algebra
label:t-algebra$ |
48/0 |
Mathlib/Algebra/Module/FinitePresentation.lean |
1 |
9 |
['Thmoas-Guan', 'github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'themathqueen'] |
ocfnash assignee:ocfnash |
3-40416 3 days ago |
86-76538 86 days ago |
86-76752 86 days |
| 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
|
58/5 |
Mathlib/Analysis/Convolution.lean |
1 |
5 |
['github-actions', 'lakesare'] |
nobody |
3-40011 3 days ago |
3-40123 3 days ago |
14-63432 14 days |
| 40723 |
JovanGerb author:JovanGerb |
perf(Algebra/Ring/Defs): improve `NonUnitalSemiring` and `NonAssocSemiring` definitions |
This PR redefines `NonUnitalSemiring` and `NonAssocSemiring` in the same way that `Semiring` was recently redefined, to improve performance.
---
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|
t-algebra label:t-algebra$ |
53/37 |
Mathlib/Algebra/Ring/Defs.lean,Mathlib/Algebra/Ring/Ext.lean |
2 |
3 |
['JovanGerb', 'github-actions', 'leanprover-radar', 'themathqueen'] |
nobody |
3-35657 3 days ago |
39-7090 39 days ago |
39-7055 39 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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[](https://gitpod.io/from-referrer/)
|
t-data |
16/0 |
Mathlib/Data/Set/Card.lean |
1 |
1 |
['github-actions'] |
nobody |
3-32312 3 days ago |
3-34299 3 days ago |
3-34247 3 days |
| 42010 |
grunweg author:grunweg |
chore(Archive): convert to the module system |
Mostly mechanical migration, akin to what `modulize.lean` would do: make all imports `public`, and add `@[expose] public section` at the beginning of each file. (In a few cases of files without definitions, omit the expose attribute.)
Inspired by #36236; re-done by hand. All files omitted there are actually fine to hand-convert.
---
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|
|
217/123 |
Counterexamples.lean,Counterexamples/AharoniKorman.lean,Counterexamples/CanonicallyOrderedCommSemiringTwoMul.lean,Counterexamples/CharPZeroNeCharZero.lean,Counterexamples/CliffordAlgebraNotInjective.lean,Counterexamples/Cyclotomic105.lean,Counterexamples/DimensionPolynomial.lean,Counterexamples/DirectSumIsInternal.lean,Counterexamples/DiscreteTopologyNonDiscreteUniformity.lean,Counterexamples/EulerSumOfPowers.lean,Counterexamples/Girard.lean,Counterexamples/HeawoodUnitDistance.lean,Counterexamples/HomogeneousPrimeNotPrime.lean,Counterexamples/InvertibleModuleNotIdeal.lean,Counterexamples/IrrationalPowerOfIrrational.lean,Counterexamples/MapFloor.lean,Counterexamples/MonicNonRegular.lean,Counterexamples/Motzkin.lean,Counterexamples/NowhereDifferentiable.lean,Counterexamples/OrderedCancelAddCommMonoidWithBounds.lean,Counterexamples/PeanoCurve.lean,Counterexamples/Phillips.lean,Counterexamples/PolynomialIsDomain.lean,Counterexamples/Pseudoelement.lean,Counterexamples/QuadraticForm.lean,Counterexamples/SeminormLatticeNotDistrib.lean,Counterexamples/SeparableNotSecondCountable.lean,Counterexamples/SorgenfreyLine.lean,Counterexamples/TopologistsSineCurve.lean,Counterexamples/ZeroDivisorsInAddMonoidAlgebras.lean |
30 |
6 |
['felixpernegger', 'github-actions', 'grunweg'] |
nobody |
3-29129 3 days ago |
4-11491 4 days ago |
4-11439 4 days |
| 42028 |
NoneMore author:NoneMore |
feat(ModelTheory/DirectLimit): bound cardinality of direct limits |
This PR adds cardinality bounds for direct limits in terms of their sigma type, index type, and component cardinalities.
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|
t-logic |
27/0 |
Mathlib/ModelTheory/DirectLimit.lean |
1 |
1 |
['github-actions'] |
nobody |
3-29120 3 days ago |
3-29673 3 days ago |
3-29621 3 days |
| 40604 |
xroblot author:xroblot |
feat(Algebra.GroupWithZero): generalize SMulZeroClass to MonoidWithZero and lift MulDistribMulAction to nonZeroDivisors |
Generalize the instance `SMulZeroClass α β` under `[Group α] [GroupWithZero β] [MulDistribMulAction α β]`to `[Group α] [MonoidWithZero β] [MulDistribMulAction α β]`.
From an action `[Group G] [MonoidWithZero M] [MulDistribMulAction G M]`, use this instance to construct an action on the nonzero divisors of 'M'.
**No diamond**: there is no general instance giving an action on a submonoid as a target (that would need the submonoid to be invariant, which isn't automatic), so defining the action on `nonZeroDivisors` should not clash with anything .
:robot: This PR was extracted from the [SKW project](https://github.com/xroblot/SKW) by Claude. |
t-algebra label:t-algebra$ |
55/6 |
Mathlib/Algebra/GroupWithZero/Action/Defs.lean,Mathlib/Algebra/GroupWithZero/NonZeroDivisors.lean,Mathlib/Algebra/Ring/Action/ConjAct.lean |
3 |
4 |
['github-actions', 'leanprover-radar', 'themathqueen'] |
nobody |
3-26313 3 days ago |
35-19331 35 days ago |
36-83757 36 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 |
149/0 |
Mathlib.lean,Mathlib/Topology/Closure.lean,Mathlib/Topology/Order/Separable.lean |
3 |
1 |
['github-actions'] |
nobody |
3-25891 3 days ago |
7-37194 7 days ago |
7-55803 7 days |
| 41189 |
ADedecker author:ADedecker |
feat: define Fredholm operators between TVSs |
Project started during the May 2026 workshop "Techniques and Tools for the Formalization of Analysis" at ICERM.
Co-authored-by: Jon Bannon <jbannon@siena.edu>
Co-authored-by: Yongxi (Aaron) Lin <aaronlin@andrew.cmu.edu>
Co-authored-by: Patrick Massot <patrickmassot@free.fr>
Co-authored-by: Oliver Nash <github@olivernash.org>
Co-authored-by: Filippo A. E. Nuccio <filippo.nuccio@univ-st-etienne.fr>
---
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[](https://gitpod.io/from-referrer/)
|
t-analysis
maintainer-merge
|
380/0 |
Mathlib.lean,Mathlib/Algebra/Module/LinearMap/FiniteRange.lean,Mathlib/Analysis/Normed/Operator/Fredholm/Basic.lean |
3 |
61 |
['ADedecker', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'themathqueen'] |
themathqueen assignee:themathqueen |
3-25245 3 days ago |
4-20311 4 days ago |
9-76474 9 days |
| 36275 |
smmercuri author:smmercuri |
feat: norm for the finite adele ring of a number field |
---
- [x] depends on: #35820
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|
|
143/1 |
Mathlib.lean,Mathlib/NumberTheory/NumberField/Completion/FinitePlace.lean,Mathlib/NumberTheory/NumberField/FiniteAdeleRing.lean,Mathlib/RingTheory/DedekindDomain/FiniteAdeleRing.lean,Mathlib/Topology/Algebra/Valued/NormedValued.lean |
5 |
5 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
3-22416 3 days ago |
3-23547 3 days ago |
59-42081 59 days |
| 36845 |
grunweg author:grunweg |
feat: the Levi-Civita connection on a manifold |
Define the Levi-Civita connection on a (finite-dimensional) Riemannian manifold `(M, g)`.
A connection `∇` on the tangent bundle of `TM` is called a Levi-Civita connection if it is both compatible with the metric `g` and torsion-free. Any two such connections are equal (on differentiable vector fields), which is why one speaks of *the* Levi-Civita connection on `TM`. We construct a Levi-Civita connection and prove that is defines a compatible torsion-free connection.
- Our implementation uses a tensoriality argument and the musical isomorphism --- avoiding the use of local frames and trivialisations.
- We enable `fun_prop` for `MDifferentiable(At)` just in this file: this will be properly implemented in the future.
- Future PRs will prove that if `M` is `C^{k+2}` and `g` is `C^{n+1}`, the Levi-Civita connection is a `C^n` connection.
Co-authored-by: Heather Macbeth [25316162+hrmacbeth@users.noreply.github.com](mailto:25316162+hrmacbeth@users.noreply.github.com)
Co-authored-by: Patrick Massot [patrickmassot@free.fr](mailto:patrickmassot@free.fr)
---
- [x] depends on: #36299
- [x] depends on: #41175
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|
t-differential-geometry |
476/2 |
Mathlib.lean,Mathlib/Geometry/Manifold/ContMDiffMFDeriv.lean,Mathlib/Geometry/Manifold/VectorBundle/CovariantDerivative/LeviCivita.lean,Mathlib/Geometry/Manifold/VectorBundle/MDifferentiable.lean,Mathlib/Topology/VectorBundle/Basic.lean |
5 |
37 |
['github-actions', 'grunweg', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'sgouezel'] |
sgouezel assignee:sgouezel |
3-16757 3 days ago |
3-17362 3 days ago |
19-58163 19 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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|
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 |
3-14912 3 days ago |
3-35625 3 days ago |
18-8948 18 days |
| 40724 |
justus-springer author:justus-springer |
feat(Analysis/InnerProductSpace): inner products on exterior powers |
Given a real inner product space `E`, we construct a canonical inner product on `⋀[ℝ]^n E` via the Gram determinant formula: on decomposable elements, `⟪v₁ ∧ ⋯ ∧ vₙ, w₁ ∧ ⋯ ∧ wₙ⟫ = det (⟪vⱼ, wᵢ⟫)ᵢⱼ`.
There are two generalizations of this construction: Going from `ℝ` to `RCLike`, and getting rid of the `FiniteDimensional` assumption. Both would require some prerequisites, hence they are left as future work for now (see the future work section of the module docstring).
---
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|
maintainer-merge |
159/0 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/ExteriorPower.lean,Mathlib/Analysis/InnerProductSpace/GramMatrix.lean |
3 |
16 |
['github-actions', 'justus-springer', 'mckoen', 'tb65536'] |
nobody |
3-10430 3 days ago |
3-11543 3 days ago |
38-25595 38 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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|
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 |
3-9123 3 days ago |
3-9974 3 days ago |
3-21943 3 days |
| 42032 |
YaelDillies author:YaelDillies |
feat(Topology): a union of closed sets, cofinitely many of which are empty, is closed |
---
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|
t-topology |
11/0 |
Mathlib/Data/Set/Lattice.lean,Mathlib/Topology/Basic.lean |
2 |
1 |
['github-actions'] |
nobody |
3-9001 3 days ago |
3-12123 3 days ago |
3-12165 3 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
|
122/5 |
Mathlib/MeasureTheory/Function/UniformIntegrable.lean |
1 |
15 |
['CoolRmal', 'FrankieNC', 'github-actions'] |
FrankieNC assignee:FrankieNC |
3-6751 3 days ago |
34-75566 34 days ago |
37-76176 37 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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|
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 |
2-81093 2 days ago |
2-81688 2 days ago |
27-81432 27 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 |
2-77131 2 days ago |
2-80024 2 days ago |
60-60750 60 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 |
2-74256 2 days ago |
2-74825 2 days ago |
2-74904 2 days |
| 39269 |
godofecht author:godofecht |
feat(Algebra/Spectrum): add the second resolvent identity |
Adds `spectrum.resolvent_sub_resolvent`:
For `a b : A` in an `R`-algebra and `r` in the resolvent set of both,
`resolvent a r - resolvent b r = resolvent a r * (a - b) * resolvent b r`.
Companion to `spectrum.resolvent_eq`. |
t-algebra
new-contributor
label:t-algebra$ |
12/0 |
Mathlib/Algebra/Algebra/Spectrum/Basic.lean |
1 |
9 |
['dagurtomas', 'github-actions', 'godofecht', 'themathqueen', 'wwylele'] |
ocfnash assignee:ocfnash |
2-68881 2 days ago |
10-33537 10 days ago |
54-67005 54 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'] |
nobody |
2-67980 2 days ago |
23-81108 23 days ago |
23-83773 23 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'] |
nobody |
2-67977 2 days ago |
26-38074 26 days ago |
26-38022 26 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'] |
nobody |
2-67977 2 days ago |
25-52968 25 days ago |
26-36867 26 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'] |
nobody |
2-67976 2 days ago |
26-36308 26 days ago |
26-36256 26 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 |
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 |
6 |
['github-actions', 'smorel394'] |
nobody |
2-67975 2 days ago |
21-85091 21 days ago |
24-76887 24 days |
| 41301 |
joelriou author:joelriou |
feat(CategoryTheory): (co)kernels in functor categories/homological complexes |
---
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|
t-category-theory |
97/2 |
Mathlib.lean,Mathlib/Algebra/Homology/HomologicalComplexKernels.lean,Mathlib/CategoryTheory/Limits/FunctorCategory/Shapes/Kernels.lean |
3 |
1 |
['github-actions'] |
nobody |
2-67974 2 days ago |
24-18195 24 days ago |
24-18143 24 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`.
## Dependencies
- [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 |
2-67970 2 days ago |
24-60643 24 days ago |
27-19445 27 days |
| 40879 |
vihdzp author:vihdzp |
feat: lemmas about the `smallInductiveDimension` |
We prove various lemmas about the `smallInductiveDimension` of a topological space, as well as interactions with the `HasSmallInductiveDimensionLT` and `HasSmallInductiveDimensionLE` typeclasses.
---
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|
t-topology |
59/8 |
Mathlib/Topology/SmallInductiveDimension.lean |
1 |
6 |
['github-actions', 'j-loreaux', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
2-59214 2 days ago |
2-60131 2 days ago |
2-73752 2 days |
| 39847 |
vihdzp author:vihdzp |
chore: redefine `Ordinal.preOmega` using `Order.enum` |
The plan is to deprecate `Ordinal.enumOrd` in favor of `Order.enum`.
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|
t-set-theory |
23/21 |
Mathlib/Order/Cofinal.lean,Mathlib/SetTheory/Cardinal/Aleph.lean |
2 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
2-47512 2 days ago |
2-49241 2 days ago |
2-77883 2 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 |
2-47380 2 days ago |
4-54217 4 days ago |
4-56662 4 days |
| 42030 |
YaelDillies author:YaelDillies |
feat(Topology/Order): the bornology of an unbounded order is non-trivial |
---
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|
t-topology |
17/3 |
Mathlib/Order/Filter/Basic.lean,Mathlib/Topology/Order/Bornology.lean |
2 |
1 |
['github-actions'] |
nobody |
2-45631 2 days ago |
3-13056 3 days ago |
3-13004 3 days |
| 41919 |
junjihashimoto author:junjihashimoto |
feat(Algebra): the Cayley-Dickson construction, octonions and sedenions |
We define the Cayley–Dickson double of a (possibly non-associative) star ring, and show that it preserves `NonAssocRing` and `StarRing`, so the construction can be iterated indefinitely: quaternions → octonions → sedenions → trigintaduonions → …. The octonions and sedenions are defined as the corresponding levels of the tower over `Quaternion R`.
The key lemma is `CayleyDickson.unit_mul_unit_mul`: the doubling unit `ℓ = ⟨0, 1⟩` satisfies `ℓ * (ℓ * x) = -x` at *every* level of the tower, by a computation that only uses that `star` is an involution — no alternativity is developed (and indeed the sedenions are not alternative and have zero divisors). Left multiplication by `ℓ` is therefore a complex structure on every Cayley–Dickson algebra; in a follow-up PR this yields Plancherel's theorem and the Fourier inversion formula for the hypercomplex (octonion, sedenion, …) Fourier transforms, by reduction to the vector-valued `L²` Fourier theory.
TODO (deliberately left for future work, noted in the module docstring): alternativity of the double of an associative star ring (Moufang identities), the multiplicative norm for composition algebras.
- [ ] depends on: (nothing)
|
t-algebra
new-contributor
label:t-algebra$ |
315/0 |
Mathlib.lean,Mathlib/Algebra/CayleyDickson.lean,Mathlib/Algebra/Octonion.lean |
3 |
9 |
['github-actions', 'vihdzp'] |
nobody |
2-44861 2 days ago |
7-29950 7 days ago |
7-30388 7 days |
| 42027 |
loefflerd author:loefflerd |
chore(Data/FunLike): tag `IsApply` lemmas as simp |
The new `IsApply` typeclasses allow many existing special-case `coe_xxx` lemmas to be unified; but the general lemmas currently do not have the simp tag. This tags them as simp.
Other minor changes:
- There were two lemmas with statements identical up to argument order: `FunLike.coe_smul` (directly written) and `FunLike.coe_smul'` (auto-generated by `to_additive`). I unified these using `to_additive existing`, with a deprecation alias for `FunLike.coe_smul'`.
- Downstream code that uses `FunLike.coe_smul'` is adjusted appropriately (un-squeezing a couple of lengthy terminal `simp only`'s in the process).
- One more specific simp lemma downstream (`ContinuousLinearMap.coe_pow'`) is removed, because `simp` can now prove it using the `FunLike` simp lemmas. A misnamed lemma in this file, `ContinuousLinearMap.coe_pow`, was re-named to `ContinuousLinearMap.toLinearMap_pow`.
- There were just two simps (both in `Mathlib/Probability/Distributions/Gaussian/Basic.lean`) which broke, because they used an un-squeezed `simp` along with an additional explicitly provided lemma (not part of the default simp set) that conflicted with `FunLike.coe_zero`. These I fixed by explicitly removing `FunLike.coe_zero` from the simp set where necessary.
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t-data
maintainer-merge
|
44/50 |
Mathlib/Analysis/SpecialFunctions/Pow/Deriv.lean,Mathlib/Data/FunLike/IsApply.lean,Mathlib/LinearAlgebra/Eigenspace/ContinuousLinearMap.lean,Mathlib/MeasureTheory/VectorMeasure/SetIntegral.lean,Mathlib/NumberTheory/ModularForms/JacobiTheta/TwoVariable.lean,Mathlib/Probability/Distributions/Gaussian/Basic.lean,Mathlib/Topology/Algebra/Module/ContinuousLinearMap/Basic.lean |
7 |
17 |
['github-actions', 'leanprover-radar', 'loefflerd', 'mcdoll'] |
nobody |
2-40258 2 days ago |
2-46650 2 days ago |
3-24531 3 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 |
2-39150 2 days ago |
12-43329 12 days ago |
12-45112 12 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 |
2-39128 2 days ago |
2-42235 2 days ago |
11-81939 11 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 |
2-38692 2 days ago |
62-53321 62 days ago |
62-53269 62 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 |
2-37991 2 days ago |
2-40155 2 days ago |
2-43291 2 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.
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|
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 |
2-37844 2 days ago |
2-40973 2 days ago |
57-11430 57 days |
| 37067 |
kbuzzard author:kbuzzard |
feat: add_group tactic |
Written by Claude Code, additivising the `group` tactic, although there were some problems which needed human input.
---
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This is me burning Claude credits as a result of this comment [#mathlib4 > MulAut and to_additive @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/MulAut.20and.20to_additive/near/581059625) . Just to be clear, all comments below are human-written by me with 0 AI assistance.
To my amusement, naively additivising the `group` tactic to make an `add_group` tactic does not work. The problem is that the algorithm run by `group` involves adding `← zpow_neg_one` to the simp set, which rewrites `x⁻¹` to `x ^ (-1)` for `x` in any group: the idea is that `x ^ (z : Int)` is preferred in the algorithm and `x⁻¹` is eliminated. Amusingly, when additivised, this becomes `-x -> -1 • x` which then immediately becomes `(-1 • 1) • x` which then becomes `((-1 • 1) • 1) • x` etc etc, as the integers are themselves an additive group. So we need to find another way of normalising terms of the form `-x`. The idea is to simply prove a bunch more simp lemmas which will deal with things like `-x + x` etc.
|
t-meta
LLM-generated
|
233/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/AddGroup.lean,MathlibTest/Tactic/AddGroup.lean |
4 |
32 |
['JovanGerb', 'SnirBroshi', 'github-actions', 'joneugster', 'kbuzzard', 'mathlib-merge-conflicts', 'thorimur'] |
thorimur assignee:thorimur |
2-36981 2 days ago |
2-42107 2 days ago |
42-5501 42 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 |
2-36924 2 days ago |
2-38991 2 days ago |
2-45224 2 days |
| 41707 |
marcelolynch author:marcelolynch |
fix(cache): carry decompression pipeline state across download rounds |
`cache get` downloads files in multiple rounds (corresponding to azure containers, e.g. `master` then `forks` for a fork PR) and decompresses them in a pipeline while the download streams.
Each round started from a fresh pipeline state and the round loop kept only the last round's state, so some files queued for decompression plus the in-flight leantar batch was dropped: the .ltars were on disk but never unpacked, and the next lake build recompiled those modules.
The in-flight leantar was also never awaited, so it could still be writing build outputs while lake build read them.
Reported in https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/cache.20issues/with/609923362
The fix makes the pipeline state an explicit value threaded through the rounds: a DecompState structure (pending files, in-flight batch, counters) embedded in TransferState, and finalizeDecomp drain after the last round.
Also adds related tests in Cache/Test.lean. |
CI
maintainer-merge
|
164/58 |
Cache/Requests.lean,Cache/Test.lean |
2 |
6 |
['github-actions', 'joneugster', 'marcelolynch'] |
joneugster assignee:joneugster |
2-33734 2 days ago |
6-16032 6 days ago |
9-69920 9 days |
| 40468 |
BoltonBailey author:BoltonBailey |
feat(Data/Nat/Choose/Multinomial): add positivity support |
This PR adds `positivity` tactic support for `Multiset.multinomial`, by adding a `_pos` theorem and an extension.
This was done as a part of Project Numina's LeanTriathlon project. AI was used as an assistant in the creation of this PR.
---
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|
t-data
maintainer-merge
|
24/0 |
Mathlib/Data/Nat/Choose/Multinomial.lean |
1 |
8 |
['BoltonBailey', 'github-actions', 'joneugster'] |
joneugster assignee:joneugster |
2-32351 2 days ago |
6-3945 6 days ago |
42-12779 42 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
|
17/2 |
Mathlib/RingTheory/Ideal/Norm/RelNorm.lean,Mathlib/RingTheory/NormalClosure.lean |
2 |
10 |
['felixpernegger', 'github-actions', 'vaca22', 'xroblot'] |
nobody |
2-32021 2 days ago |
4-5758 4 days ago |
9-14616 9 days |
| 41765 |
riccardobrasca author:riccardobrasca |
feat: add Mathlib.NumberTheory.NumberField.DirichletDensity |
This PR defines the Dirichlet density of a set of ideals.
---
A first version of the code has been written by Claude, but it has gone through extensive review by the authors.
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|
t-number-theory |
113/0 |
Mathlib.lean,Mathlib/NumberTheory/NumberField/DirichletDensity.lean |
2 |
16 |
['github-actions', 'loefflerd', 'tb65536', 'xroblot'] |
tb65536 assignee:tb65536 |
2-30913 2 days ago |
3-71883 3 days ago |
6-1880 6 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 |
2-28695 2 days ago |
2-66665 2 days ago |
2-66613 2 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 |
2-28676 2 days ago |
2-66665 2 days ago |
2-66613 2 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 |
3/0 |
docs/100.yaml |
1 |
2 |
['github-actions', 'joneugster'] |
joneugster assignee:joneugster |
2-26990 2 days ago |
11-82380 11 days ago |
11-82328 11 days |
| 41995 |
YaelDillies author:YaelDillies |
feat(RingTheory): bialgebra homs `R[G] → R[H]` are in bijection with group homs `G → H` |
... for abelian groups `G` and `H`. Furthermore, the convolution product on bialgebra homs corresponds to pointwise addition on group homs.
Also generate more lemmas through `to_additive`, remove some unused `set_option`s and relocate `MonoidAlgebra.toAdditive`/`AddMonoidAlgebra.toMultiplicative` to existing sections.
From Toric
---
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|
t-ring-theory
tech debt
toric
large-import
|
335/45 |
Mathlib/Algebra/Category/CommHopfAlgCat.lean,Mathlib/RingTheory/Bialgebra/MonoidAlgebra.lean |
2 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
2-26446 2 days ago |
2-27176 2 days ago |
2-30193 2 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 |
2-26032 2 days ago |
8-1832 8 days ago |
8-1799 8 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 |
2-24464 2 days ago |
2-24464 2 days ago |
18-64981 18 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'] |
nobody |
2-22803 2 days ago |
3-37579 3 days ago |
3-37539 3 days |
| 40587 |
dennj author:dennj |
feat(MeasureTheory): generalize rpow·exp and scalar-multiplication integrability lemmas |
Generalization PR:
- IntervalIntegrable.{smul_continuousOn, continuousOn_smul}, IntegrableOn.{continuousOn_smul, smul_continuousOn} (+ _of_subset forms), and the LocallyIntegrableOn analogues now need only IsBoundedSMul 𝕜 E instead of NormSMulClass 𝕜 E. (Every NormSMulClass is an IsBoundedSMul, so all existing uses still apply; over a NormedDivisionRing they coincide.) This works because these reduce to Integrable.bdd_smul/bdd_mul, which only need IsBoundedSMul, using IntegrableOn f s μ = Integrable f (μ.restrict s).
- integrableOn_rpow_mul_exp_neg_rpow / …_mul_rpow are generalized from 1 ≤ p to 0 < p (via u = xᵖ), matching the 0 < p of integral_rpow_mul_exp_neg_rpow. |
t-measure-probability
new-contributor
|
21/38 |
Mathlib/Analysis/SpecialFunctions/Gamma/Basic.lean,Mathlib/Analysis/SpecialFunctions/Gaussian/GaussianIntegral.lean,Mathlib/MeasureTheory/Function/LocallyIntegrable.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/Basic.lean |
4 |
7 |
['CoolRmal', 'RemyDegenne', 'dennj', 'github-actions'] |
CoolRmal assignee:CoolRmal |
2-22172 2 days ago |
42-45878 42 days ago |
42-45826 42 days |
| 41993 |
eneoli author:eneoli |
feat(Tactic/Linter/UnusedTactic): mark `isIgnoreTacticKind` and `addIgnoreTacticKind` as public |
Marks `isIgnoreTacticKind` and `addIgnoreTacticKind` in the `unusedTactic` linter as `public` definitions.
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t-linter
new-contributor
maintainer-merge
|
25/2 |
Mathlib/Tactic/Linter/UnusedTactic.lean,MathlibTest/Linter/UnusedTactic.lean |
2 |
5 |
['github-actions', 'joneugster'] |
joneugster assignee:joneugster |
2-21786 2 days ago |
4-84035 4 days ago |
4-83983 4 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 |
2-21207 2 days ago |
5-18489 5 days ago |
5-18709 5 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 |
2-19276 2 days ago |
38-67738 38 days ago |
98-66345 98 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 |
7 |
['eric-wieser', 'github-actions', 'hawkrobe'] |
nobody |
2-18135 2 days ago |
2-18705 2 days ago |
30-19379 30 days |
| 41488 |
artie2000 author:artie2000 |
feat(LinearAlgebra/Dimension/Free): division version of tower law |
Split from #37959
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t-algebra
maintainer-merge
label:t-algebra$ |
22/0 |
Mathlib/LinearAlgebra/Dimension/Free.lean |
1 |
10 |
['artie2000', 'github-actions', 'tb65536', 'themathqueen'] |
nobody |
2-12627 2 days ago |
5-4538 5 days ago |
5-32279 5 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
label:t-algebra$ |
0/4 |
Mathlib/Algebra/Group/WithOne/Defs.lean |
1 |
2 |
['Multramate', 'github-actions'] |
themathqueen assignee:themathqueen |
2-12377 2 days ago |
34-14768 34 days ago |
34-14716 34 days |
| 40165 |
SnirBroshi author:SnirBroshi |
feat(Algebra): `iSup` of substructures equals the set-union of all finite `iSup`s |
`(⨆ i, S i).carrier = ⋃ s : Finset ι, ⨆ i ∈ s, S i` for every substructure that has `coe_iSup_of_directed`:
- `Subsemigroup`
- `Submonoid`
- `Subgroup`
- `Subsemiring`
- `Subring`
- `Subfield`
- `Submodule`
- `Subalgebra`
- `NonUnitalStarSubalgebra`
- `NonUnitalSubalgebra`
- `NonUnitalSubring`
- `NonUnitalSubsemiring`
- `StarSubalgebra`
- `IntermediateField`
Co-authored-by: Albert Smith <10266947+ChiCubed@users.noreply.github.com>
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t-algebra
large-import
label:t-algebra$ |
136/0 |
Mathlib.lean,Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean,Mathlib/Algebra/Algebra/Subalgebra/Directed.lean,Mathlib/Algebra/Field/Subfield/Basic.lean,Mathlib/Algebra/Group/Subgroup/Pointwise.lean,Mathlib/Algebra/Group/Submonoid/Pointwise.lean,Mathlib/Algebra/Group/Subsemigroup/Lemmas.lean,Mathlib/Algebra/Ring/Subring/Pointwise.lean,Mathlib/Algebra/Ring/Subsemiring/Pointwise.lean,Mathlib/Algebra/Star/NonUnitalSubalgebra.lean,Mathlib/Algebra/Star/Subalgebra.lean,Mathlib/FieldTheory/IntermediateField/Adjoin/Basic.lean,Mathlib/LinearAlgebra/Span/Basic.lean,Mathlib/RingTheory/NonUnitalSubring/Basic.lean,Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean |
15 |
2 |
['github-actions', 'plp127', 'themathqueen'] |
themathqueen assignee:themathqueen |
2-12237 2 days ago |
49-59375 49 days ago |
49-59979 49 days |
| 40663 |
Vierkantor author:Vierkantor |
feat: solve equalities of instances in `convert` |
This PR sets the `preTransparency` of `convert` to `.instances`, which means it will not run congruence on goals that already are equal at `.instances` transparency. In other words, `convert` (without exclamation) should leave no goals of the form `instA.toC = instB.toC`.
There are 387 (~ 8.5%) additional `convert!` calls in Mathlib that could become `convert` after this change, in addition to 2626 (~ 57,8%) where `convert` already succeeds at reducible transparency. I found no cases where `postTransparency := .instances` would be needed instead.
Full breakdown of stats, according to the test script below and passing the captured log messages to `sort | uniq -c`:
* 2626 `convert` would work
* 1513 `convert!` (i.e. `convert (postTransparency := .default)`) is required
* 387 `convert (preTransparency := .instances)` is required
* 16 cause an error in the test script
The test script consists of replacing the elaborator for `convert` with:
```lean
def sameGoals (gs₁ gs₂ : List MVarId) : MetaM Bool := do
if gs₁.length == gs₂.length then
try
(gs₁.zip gs₂).allM fun (g₁, g₂) => do
-- Check that they agree on the set of free variables, otherwise we get errors.
-- We assume the context in the `convert` case is a subset of the `convert!` case
-- since `convert!` can more agressively unfold and introduce more variables.
if !(← g₁.getDecl).lctx.isSubPrefixOf (← g₂.getDecl).lctx then return false
g₂.withContext <| withReducible <| isDefEq (← g₁.getType) (← g₂.getType)
catch _ => return false
else
return false
elab_rules : tactic
| `(tactic| convert $[!%$expensive]? $cfg $[←%$sym]? $term $[using $n]? $[with $ps?*]?) =>
withMainContext do
let actualConfig ← Convert.elabConfig expensive.isSome cfg
let cheapConfig ← Convert.elabConfig false cfg
let redConfig := { cheapConfig with
preTransparency := .reducible, postTransparency := .reducible }
let preInstConfig := { cheapConfig with
preTransparency := .instances, postTransparency := .reducible }
let postInstConfig := { cheapConfig with
postTransparency := .instances, preTransparency := .reducible }
let patterns := (ps?.getD #[]).toList
let expectedType ← mkFreshExprMVar (mkSort (← getLevel (← getMainTarget)))
let (e, gs) ← elabTermForConvert term expectedType
liftMetaTactic fun g ↦ do
-- Don't retain metavar assignments but do retain messages.
let msgs ← withoutModifyingState do
try
let actualGoals ← g.convert e sym.isSome (n.map (·.getNat)) actualConfig patterns
let redGoals ← g.convert e sym.isSome (n.map (·.getNat)) redConfig patterns
if ← sameGoals actualGoals redGoals then
logInfo m!"convert(reducible)"
else
let preInstGoals ← g.convert e sym.isSome (n.map (·.getNat)) preInstConfig patterns
if ← sameGoals actualGoals preInstGoals then
logInfo m!"convert(preInst)"
else
let postInstGoals ← g.convert e sym.isSome (n.map (·.getNat)) postInstConfig patterns
if ← sameGoals actualGoals postInstGoals then
logInfo m!"convert(postInst)"
else if expensive.isSome then
logInfo m!"convert(expensive)"
else
logInfo m!"convert(error)"
catch e =>
logInfo m!"convert(error {e.toMessageData})"
pure ()
Core.getMessageLog
Core.setMessageLog msgs
return (← g.convert e sym.isSome (n.map (·.getNat)) actualConfig patterns) ++ gs
```
---
Ideally we'd run a benchmark on this PR, or even better one that compares `preTransparency` and `postTransparency`. But we don't have a lot of calls to plain `convert` yet, since I'd want to wait for the migration until #38071 is merged.
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|
t-meta
maintainer-merge
|
46/6 |
Mathlib/Algebra/GCDMonoid/Basic.lean,Mathlib/Analysis/SpecialFunctions/Log/InvLog.lean,Mathlib/Geometry/Euclidean/Incenter.lean,Mathlib/NumberTheory/ClassNumber/AdmissibleCardPowDegree.lean,Mathlib/Tactic/Convert.lean,MathlibTest/Tactic/Convert/Instances.lean |
6 |
20 |
['JovanGerb', 'Vierkantor', 'github-actions', 'joneugster', 'leanprover-radar'] |
joneugster and thorimur assignee:joneugster assignee:thorimur |
2-9797 2 days ago |
3-7693 3 days ago |
31-42069 31 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 |
39/4 |
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/Digraph/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Clique.lean,Mathlib/Combinatorics/SimpleGraph/Finite.lean,Mathlib/Combinatorics/SimpleGraph/Subgraph.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 |
20 |
29 |
['Deicyde', 'SnirBroshi', 'faenuccio', 'github-actions'] |
nobody |
2-9231 2 days ago |
2-12351 2 days ago |
23-49415 23 days |
| 41487 |
Deicyde author:Deicyde |
feat: implement pi-base cross-reference attribute |
Adds a `@[pibase ID]` cross-reference attribute for canonical pi-base identifiers.
The parser accepts IDs of the form `P000001`, `S000023`, and `T000001`, and routes them to the corresponding `properties/`, `spaces/`, or `theorems/` page on `topology.pi-base.org`.
Tests cover docstring insertion, `#pibase_tags`, all three URL routes, and malformed IDs.
This PR was prepared with assistance from Codex. Based heavily on #41290 |
t-meta
LLM-generated
maintainer-merge
|
149/8 |
Mathlib/Tactic/CrossRefAttribute.lean,MathlibTest/CrossRefAttribute.lean |
2 |
20 |
['Deicyde', 'github-actions', 'joneugster', 'mathlib-merge-conflicts', 'thorimur', 'vlad902'] |
joneugster and thorimur assignee:joneugster assignee:thorimur |
2-655 2 days ago |
2-1347 2 days ago |
11-31609 11 days |
| 40282 |
rosborn author:rosborn |
feat(Algebra/Group/Subgroup): add sup/iSup/biSup/sSup_characteristic |
The join of characteristic subgroups is characteristic.
---
These mirror the existing sup_normal/iSup_normal/biSup_normal/sSup_normal family in Subgroup/Pointwise.lean. I've left out the inf versions and extras like the characteristic closure until there's a use for them; they're easy to add later.
Discussed here: [Zulip](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Additional.20Group.20Theory.20Lemmas/with/600714666)
<!-- Your PR title will become the first line of the commit message.
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- Nat.bit1_add_bit1
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Any other comments you want to keep out of the PR commit should go
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|
t-algebra
maintainer-merge
label:t-algebra$ |
40/0 |
Mathlib/Algebra/Group/Subgroup/Basic.lean |
1 |
21 |
['SnirBroshi', 'adomani', 'github-actions', 'mathlib-merge-conflicts', 'rosborn', 'themathqueen'] |
themathqueen assignee:themathqueen |
2-467 2 days ago |
3-76002 3 days ago |
41-18573 41 days |
| 39371 |
fpvandoorn author:fpvandoorn |
feat: tag lemmas with compactness and closedness |
---
- [x] depends on: #39370
[](https://gitpod.io/from-referrer/)
|
t-meta
t-topology
maintainer-merge
|
88/11 |
Mathlib/Topology/Basic.lean,Mathlib/Topology/Closure.lean,Mathlib/Topology/Compactness/Compact.lean,Mathlib/Topology/MetricSpace/ProperSpace.lean,Mathlib/Topology/Order/Compact.lean,Mathlib/Topology/Order/OrderClosed.lean,Mathlib/Topology/Separation/Basic.lean,Mathlib/Topology/Separation/Hausdorff.lean,MathlibTest/Compactness.lean |
9 |
4 |
['github-actions', 'joneugster', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
joneugster assignee:joneugster |
1-86107 1 day ago |
5-19045 5 days ago |
5-18994 5 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
|
5/0 |
Mathlib/MeasureTheory/Function/LpSpace/Basic.lean |
1 |
7 |
['CoolRmal', 'EtienneC30', 'FrankieNC', 'github-actions', 'j-loreaux'] |
RemyDegenne assignee:RemyDegenne |
1-84373 1 day ago |
1-85250 1 day ago |
36-33631 36 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`.
---
<!-- 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-ring-theory |
74/0 |
Mathlib/RingTheory/AdjoinRoot.lean |
1 |
1 |
['github-actions'] |
nobody |
1-83954 1 day ago |
1-85020 1 day ago |
1-85987 1 day |
| 41877 |
BoltonBailey author:BoltonBailey |
feat(Algebra/Order/Floor/Ring): `positivity` for `Int.fract` |
This PR adds a positivity extension for `Int.fract`, which is always nonnegative.
I used Claude Code to prepare this PR.
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
LLM-generated
t-meta
maintainer-merge
label:t-algebra$ |
16/0 |
Mathlib/Algebra/Order/Floor/Ring.lean,MathlibTest/positivity.lean |
2 |
2 |
['github-actions', 'joneugster'] |
joneugster assignee:joneugster |
1-82766 1 day ago |
8-69473 8 days ago |
8-70464 8 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.
---
<!-- 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:
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- ...
Deletions:
- Nat.bit1_add_bit1
- ...
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[](https://gitpod.io/from-referrer/)
|
|
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 |
1-82574 1 day ago |
1-82834 1 day ago |
1-82814 1 day |
| 41389 |
felixpernegger author:felixpernegger |
chore: reduce `import all` |
Removes `import all` whenever possible. I also tried to "downgrade" by changing to `import` from `import all`, but that never made a difference. Excludes MathlibTest.
For a related PR, see #41222.
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|
0/7 |
Mathlib/Control/Monad/Cont.lean,Mathlib/Data/Fintype/Parity.lean,Mathlib/Data/Int/Bitwise.lean,Mathlib/Lean/Meta/RefinedDiscrTree/Encode.lean,Mathlib/Tactic/GCongr/Core.lean,Mathlib/Tactic/PNatToNat.lean |
6 |
9 |
['felixpernegger', 'github-actions', 'grunweg', 'leanprover-radar'] |
nobody |
1-79446 1 day ago |
21-6151 21 days ago |
21-6099 21 days |
| 41936 |
homeowmorphism author:homeowmorphism |
feat(Group Theory/Presentation): define group presentations |
`Group.Presentation` packages a chosen presentation of a given group `G`: a generating family together with relators (words `r`, each read as `r = 1`) whose generated normal subgroup is exactly the kernel of `FreeGroup.lift val : FreeGroup α →* G`. This the complementary to `PresentedGroup rels`, which constructs the group presented by a set of generators and relations.
---
PR #33233 by @jazzits previously was made to implement this feature but I am making a new PR due to inactivity. I have credited the original author.
Claude Fable assisted heavily in the making on this API, but I have done my best to review and steer it before putting this out.
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|
t-group-theory
LLM-generated
|
181/0 |
Mathlib.lean,Mathlib/GroupTheory/Presentation.lean,docs/references.bib |
3 |
25 |
['github-actions', 'homeowmorphism', 'kbuzzard', 'mathlib-bors', 'tb65536'] |
tb65536 assignee:tb65536 |
1-75194 1 day ago |
6-8283 6 days ago |
6-11589 6 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 |
1-69541 1 day ago |
7-83100 7 days ago |
8-4541 8 days |
| 38369 |
quantumsnow author:quantumsnow |
feat(AlgebraicTopology): Eilenberg Steenrod axioms |
This introduces the Eilenberg-Steenrod axioms for a homology theory.
---
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|
new-contributor
t-algebraic-topology
large-import
|
299/7 |
Mathlib/AlgebraicTopology/EilenbergSteenrod.lean,Mathlib/Topology/Category/TopPair.lean |
2 |
73 |
['chrisflav', 'dagurtomas', 'github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'quantumsnow'] |
robin-carlier assignee:robin-carlier |
1-68882 1 day ago |
37-23382 37 days ago |
52-65142 52 days |
| 38664 |
joelriou author:joelriou |
feat(AlgebraicTopology/SimplicialSet): more API for `SSet.op` |
---
- [x] depends on: #38662
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t-algebraic-topology |
119/0 |
Mathlib/AlgebraicTopology/SimplicialSet/KanComplex/MulStruct.lean,Mathlib/AlgebraicTopology/SimplicialSet/Op.lean,Mathlib/AlgebraicTopology/SimplicialSet/StdSimplex.lean |
3 |
8 |
['github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
dagurtomas assignee:dagurtomas |
1-68881 1 day ago |
31-28969 31 days ago |
31-28918 31 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 |
148/34 |
Mathlib.lean,Mathlib/Algebra/Homology/HomologicalComplex.lean,Mathlib/AlgebraicTopology/AlternatingFaceMapComplex.lean,Mathlib/AlgebraicTopology/SimplicialObject/Basic.lean,Mathlib/AlgebraicTopology/SimplicialSet/Homology/Basic.lean,Mathlib/AlgebraicTopology/SimplicialSet/Homology/MapHomologicalComplex.lean,Mathlib/AlgebraicTopology/SimplicialSet/Homology/Nondegenerate.lean,Mathlib/AlgebraicTopology/SingularHomology/Basic.lean,Mathlib/CategoryTheory/Limits/Preserves/SigmaConst.lean,Mathlib/CategoryTheory/Limits/Shapes/Products.lean |
10 |
10 |
['dagurtomas', 'github-actions', 'joelriou', 'mathlib-merge-conflicts', 'robin-carlier'] |
dagurtomas assignee:dagurtomas |
1-68880 1 day ago |
24-21550 24 days ago |
33-56063 33 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 |
1-68879 1 day ago |
58-31239 58 days ago |
58-31266 58 days |
| 40337 |
Robby955 author:Robby955 |
feat(Probability): add condExpKernel prefix support |
## Summary
This draft adds reusable conditional-kernel support for finite product measures and an explicit prefix/tail decomposition for `condExpKernel` on `Fin n -> Ω`.
The main new explicit statement is `ProbabilityTheory.condExpKernel_piPrefix_eq_dirac_prod_pi`: for a product probability measure, conditioning on the prefix-coordinate sigma-algebra gives the kernel that keeps the prefix fixed and samples the remaining coordinates independently from the corresponding tail product.
## Changes
- Add `MeasurableSpace.piPrefixRestrict` and define `MeasurableSpace.piPrefix` as the comap along that restriction map.
- Add prefix measurability helpers for the coordinate sub-sigma-algebra.
- Add `ProbabilityTheory.Kernel.piPrefixTailFromPrefix` and `ProbabilityTheory.Kernel.piPrefixTail` for the explicit prefix-fixed/tail-product kernel.
- Add `ProbabilityTheory.condExpKernel_piPrefix_eq_dirac_prod_pi`, the explicit a.e. kernel equality for product probability measures.
- Keep `ProbabilityTheory.condExpKernel_piPrefix_ae_eq`, the finite-product prefix-coordinate support theorem.
- Extend `MathlibTest/CondExpKernelPiPrefix.lean` with an elaboration check for the explicit kernel equality.
## Verification
Local:
- `lake env lean Mathlib/Probability/Kernel/Condexp.lean`
- `lake env lean MathlibTest/CondExpKernelPiPrefix.lean`
- `lake build Mathlib.Probability.Kernel.Condexp`
- `lake exe runLinter --trace Mathlib.Probability.Kernel.Condexp`
- `#print axioms ProbabilityTheory.condExpKernel_piPrefix_eq_dirac_prod_pi`
- `#print axioms ProbabilityTheory.condExpKernel_piPrefix_ae_eq`
- `git diff --check`
`lake -Kthreads=1 test` was run locally, but this machine hit an OS file-table exhaustion error near the end of `MathlibTest` targets. The GitHub fork CI completed the full build, `test mathlib`, lint, style, cache upload, and post-build checks successfully on the PR head.
Axiom checks report only `[propext, Classical.choice, Quot.sound]` for the two public prefix theorems above.
## Risk / Rollback
No migrations, dependency changes, security-sensitive behavior, or user-facing runtime behavior. Roll back by reverting the prefix-kernel additions in `Mathlib/Probability/Kernel/Condexp.lean` and the corresponding `MathlibTest` checks.
## Disclaimers:
PR and post written by myself, Claude Code and whispr are used in coding and formatting. Claude Code also was used to do a review of the repo. |
t-measure-probability
new-contributor
LLM-generated
|
343/1 |
Mathlib/Probability/Kernel/Condexp.lean,MathlibTest/CondExpKernelPiPrefix.lean |
2 |
3 |
['felixpernegger', 'github-actions'] |
sgouezel assignee:sgouezel |
1-68878 1 day ago |
47-73763 47 days ago |
47-73711 47 days |
| 40394 |
mathlib-splicebot author:mathlib-splicebot |
chore(MeasureTheory/Measure/Haar/InnerProductSpace: remove an `erw` |
Extracted from #40348. |
t-measure-probability
tech debt
|
7/6 |
Mathlib/MeasureTheory/Measure/Haar/InnerProductSpace.lean |
1 |
4 |
['felixpernegger', 'github-actions'] |
kex-y assignee:kex-y |
1-68877 1 day ago |
47-38288 47 days ago |
47-38236 47 days |
| 40405 |
felixpernegger author:felixpernegger |
chore(MeasureTheory/Group): remove an erw |
Extracted from #40348
---
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[](https://gitpod.io/from-referrer/)
|
t-measure-probability |
3/1 |
Mathlib/MeasureTheory/Group/GeometryOfNumbers.lean |
1 |
1 |
['Multramate', 'github-actions'] |
RemyDegenne assignee:RemyDegenne |
1-68876 1 day ago |
47-32299 47 days ago |
47-32247 47 days |
| 40851 |
SnirBroshi author:SnirBroshi |
feat(MeasureTheory/Integral/MeanInequalities): strict Hölder's inequality for Lebesgue integrals |
Prove an iff for the equality case of Hölder's inequality when both norms are finite and non-zero.
---
For both the norm 1 theorems and the finite non-zero theorems I extracted an intermediate lemma to reduce duplication between the inequality and equality cases.
It looks to me like `funMulInvSnorm` is intended to be private, so I made new theorems about it private.
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[](https://gitpod.io/from-referrer/)
|
t-measure-probability |
93/38 |
Mathlib/MeasureTheory/Integral/Lebesgue/Markov.lean,Mathlib/MeasureTheory/Integral/MeanInequalities.lean |
2 |
1 |
['github-actions'] |
kex-y assignee:kex-y |
1-68876 1 day ago |
36-6127 36 days ago |
36-6075 36 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'] |
dagurtomas assignee:dagurtomas |
1-68875 1 day ago |
19-42530 19 days ago |
22-26759 22 days |
| 41383 |
joelriou author:joelriou |
feat(Algebra/Category/ModuleCat): the category of sheaves of modules is Grothendieck abelian |
---
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[](https://gitpod.io/from-referrer/)
|
t-category-theory |
128/5 |
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 |
1 |
['github-actions'] |
dagurtomas assignee:dagurtomas |
1-68874 1 day ago |
21-18629 21 days ago |
21-19248 21 days |
| 41428 |
chrisflav author:chrisflav |
feat(Algebra/Category/ModuleCat): submodules of sheaves of modules |
---
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|
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'] |
dagurtomas assignee:dagurtomas |
1-68873 1 day ago |
19-79670 19 days ago |
19-79656 19 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'] |
dagurtomas assignee:dagurtomas |
1-68872 1 day ago |
18-39922 18 days ago |
18-39870 18 days |
| 41494 |
FordUniver author:FordUniver |
feat(Analysis/Convex): first-order convexity inequalities |
Adds first-order characterizations of convexity for differentiable functions in three forms — directional, Fréchet, and gradient — together with concave duals, strict variants, iff converses, and the first-order optimality corollaries `ConvexOn.isMinOn_of_fderiv_eq_zero` / `ConvexOn.isMinOn_of_gradient_eq_zero`. `Analysis.Convex.Deriv` picks up the 1D additive forms of the slope inequalities.
---
The motivation is the Baillon–Haddad theorem in the Lipschitz-smooth stack (#39574 and follow-ups), whose proof plays the gradient form of the first-order convexity inequality against the descent bound of a `K`-smooth function. `LineDeriv` carries the proof content via 1D line restriction (`ConvexOn.lineRestriction`); `FDeriv` and `Gradient` are restatements via `lineDeriv_eq_fderiv` and Riesz (`inner_gradient_left`) respectively. This inverts mathlib's usual FDeriv-as-foundation default because convex first-order inequalities are naturally 1D — they only need directional differentiability, and the FDeriv/gradient forms are strictly stronger restatements.
- [x] depends on: #39203
- [x] depends on: #39198
|
t-analysis |
503/0 |
Mathlib.lean,Mathlib/Analysis/Convex/Deriv.lean,Mathlib/Analysis/Convex/FDeriv.lean,Mathlib/Analysis/Convex/Gradient.lean,Mathlib/Analysis/Convex/LineDeriv.lean |
5 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
j-loreaux assignee:j-loreaux |
1-68871 1 day ago |
18-21365 18 days ago |
18-21313 18 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
|
141/0 |
Mathlib.lean,Mathlib/MeasureTheory/Function/BorelGrowth.lean,docs/references.bib |
3 |
1 |
['github-actions'] |
EtienneC30 assignee:EtienneC30 |
1-68870 1 day ago |
17-34352 17 days ago |
17-34469 17 days |
| 42052 |
vherva-senso author:vherva-senso |
feat(NumberTheory): conjugation symmetry of the completed Riemann zeta function |
This PR adds the conjugation-symmetry lemmas for Deligne's archimedean Gamma factor `Γ_ℝ` and for
the completed Riemann zeta function `Λ` / `Λ₀`, complementing the existing `riemannZeta_conj`.
## What is added
* `Complex.Gammaℝ_conj` (in `Mathlib/Analysis/SpecialFunctions/Gamma/Deligne.lean`):
```
lemma Gammaℝ_conj (s : ℂ) : Gammaℝ (conj s) = conj (Gammaℝ s)
```
* `completedRiemannZeta₀_conj` and `completedRiemannZeta_conj`
(in `Mathlib/NumberTheory/Harmonic/ZetaAsymp.lean`, next to the existing `riemannZeta_conj`):
```
@[simp] theorem completedRiemannZeta₀_conj (s : ℂ) :
completedRiemannZeta₀ (conj s) = conj (completedRiemannZeta₀ s)
@[simp] theorem completedRiemannZeta_conj (s : ℂ) :
completedRiemannZeta (conj s) = conj (completedRiemannZeta s)
```
## Why these are missing
Mathlib already has `Complex.Gamma_conj` (for `Complex.Gamma`), the Jacobi-theta conjugation
lemmas, and `riemannZeta_conj` (the un-completed zeta, added in `ZetaAsymp.lean`). But there was no
conjugation lemma for Deligne's `Γ_ℝ` factor, nor for the *completed* zeta `Λ = Γ_ℝ · ζ` or its
entire cousin `Λ₀`. These are basic reality/symmetry facts about `Λ` — for instance they give,
in one line, that `Λ` is real on the critical line `re s = 1/2` (combine with the functional
equation `completedRiemannZeta_one_sub`), which is a standard ingredient when locating zeros of `ζ`.
## Proof technique
* `Gammaℝ_conj`: unfold `Γ_ℝ(s) = π^(-s/2) · Γ(s/2)` and push conjugation through each factor,
using `Complex.Gamma_conj` for the Gamma factor and `Complex.cpow_conj` for the `π`-power (whose
hypothesis `(π : ℂ).arg ≠ π` holds since `π > 0`).
* `completedRiemannZeta₀_conj`: the identity principle. Both `conj ∘ Λ₀ ∘ conj` (analytic via
`differentiableAt_conj_conj_iff`) and `Λ₀` are entire, and they agree on the open half-plane
`1 < re s`: there `Λ = Γ_ℝ · ζ` (as `Γ_ℝ` is non-vanishing) and both factors satisfy conjugation
symmetry (`Gammaℝ_conj`, `riemannZeta_conj`), while the poles `1/s + 1/(1-s)` are conjugation
symmetric. `AnalyticOnNhd.eq_of_eventuallyEq` then propagates the identity to all of `ℂ`.
* `completedRiemannZeta_conj`: subtract the conjugation-symmetric poles `1/s`, `1/(1-s)` from
`completedRiemannZeta₀_conj` via `completedRiemannZeta_eq`.
## Notes
* No new imports are introduced; the lemmas sit in the files where the corresponding objects and
the neighbouring `riemannZeta_conj` already live.
* `Gammaℝ_conj` is left un-`@[simp]` to mirror `Complex.Gamma_conj`; the two completed-zeta lemmas
are tagged `@[simp]` to mirror the existing `@[simp] riemannZeta_conj`.
## Formalization use-case
These lemmas were extracted from a formalization that certifies the first non-trivial zero of `ζ`
on the critical line: reality of `Λ` on `re s = 1/2` (via `completedRiemannZeta_conj` and the
functional equation) reduces a sign-change / intermediate-value argument for the real-valued
`Λ(1/2 + it)` to two certified numerical signs. The conjugation lemmas themselves are of general
interest and independent of that application.
---
🤖 Generated with [Claude Code](https://claude.com/claude-code)
https://claude.ai/code/session_01TyynZSLYoSAaXyzUCTfahZ
|
new-contributor
t-number-theory
t-analysis
LLM-generated
|
58/0 |
Mathlib/Analysis/SpecialFunctions/Gamma/Deligne.lean,Mathlib/NumberTheory/Harmonic/ZetaAsymp.lean |
2 |
2 |
['github-actions'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
1-68869 1 day ago |
2-45957 2 days ago |
2-45905 2 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'] |
nobody |
1-67980 1 day ago |
23-17760 23 days ago |
60-72665 60 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'] |
nobody |
1-67978 1 day ago |
26-28111 26 days ago |
26-28059 26 days |
| 39239 |
alainchmt author:alainchmt |
feat(FieldTheory/Finite): irreducible polynomial divides X^q^n - X iff degree divides n |
---
Add the theorem saying that, for an irreducible polynomial `f` over a finite field `K`, the degree of `f` divides `n` if and only if `f` divides `X ^ (Nat.card K) ^ n - X`. Include auxiliary lemmas.
<!-- Your PR title will become the first line of the commit message.
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|
t-algebra
new-contributor
label:t-algebra$ |
34/0 |
Mathlib/FieldTheory/Finite/Extension.lean,Mathlib/FieldTheory/Minpoly/Field.lean |
2 |
2 |
['github-actions'] |
nobody |
1-67977 1 day ago |
75-36344 75 days ago |
75-36292 75 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'] |
nobody |
1-67975 1 day ago |
23-35136 23 days ago |
70-84318 70 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`.
---
<!-- Your PR title will become the first line of the commit message.
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|
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 |
1-66205 1 day ago |
1-68250 1 day ago |
41-58422 41 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.
----
The automated deprecation removal action is now broken because the branch for #40618 still exists. |
tech debt
file-removed
|
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 |
1 |
['github-actions'] |
nobody |
1-65693 1 day ago |
1-68757 1 day ago |
1-71791 1 day |
| 37751 |
JovanGerb author:JovanGerb |
chore(Order/Filter/IsBounded): use `to_dual` |
use `to_dual` for `Filter.IsBounded`
---
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|
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 |
1-64722 1 day ago |
1-67482 1 day ago |
40-69317 40 days |
| 40298 |
xroblot author:xroblot |
feat(Algebra/Algebra): reinterpret a RingEquiv as a ℕ/ℤ/ℚ-algebra isomorphism |
Adds the `RingEquiv` analogues of the `RingHom.to{Nat,Int,Rat}AlgHom` / `RingHom.equivRatAlgHom` constructions, over `ℕ`, `ℤ` and `ℚ`:
- `RingEquiv.toNatAlgEquiv`, `RingEquiv.toIntAlgEquiv`, `RingEquiv.toRatAlgEquiv`: a `RingEquiv` is canonically an ℕ-, ℤ- or ℚ-algebra isomorphism.
- `ringEquivEquivNatAlgEquiv`, `ringEquivEquivIntAlgEquiv`, `ringEquivEquivRatAlgEquiv`: the corresponding equivalences `(R ≃+* S) ≃ (R ≃ₐ[·] S)`.
:robot: This PR was extracted from the [SKW project](https://github.com/xroblot/SKW) by Claude. |
t-algebra
maintainer-merge
label:t-algebra$ |
111/14 |
Mathlib/Algebra/Algebra/Equiv.lean,Mathlib/Algebra/Algebra/Hom/Rat.lean |
2 |
56 |
['github-actions', 'plp127', 'themathqueen', 'xroblot'] |
themathqueen assignee:themathqueen |
1-63134 1 day ago |
3-45544 3 days ago |
45-70407 45 days |
| 42065 |
JX-Mo author:JX-Mo |
fix(CategoryTheory): correct docstring about preservation of epimorphisms |
Correct docstring about preservation of epimorphisms. |
t-category-theory
easy
new-contributor
|
1/1 |
Mathlib/CategoryTheory/Preadditive/Projective/Preserves.lean |
1 |
3 |
['JX-Mo', 'felixpernegger', 'github-actions'] |
nobody |
1-60763 1 day ago |
2-18922 2 days ago |
2-18870 2 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 |
1-60138 1 day ago |
1-60741 1 day ago |
1-60707 1 day |
| 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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[](https://gitpod.io/from-referrer/)
|
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 |
1-59103 1 day ago |
4-2834 4 days ago |
107-44799 107 days |
| 39703 |
YaelDillies author:YaelDillies |
chore: create a `Basic` top folder |
Move a select few folders from `Logic` to a new `Basic` folder.
The goal is to finally move the material misplaced in the `Data` and `Logic` folder and to clarify the various expectations of each folder. Ultimately:
* the `Basic` folder will be about basic predicates on types and basic mathematical types not fitting in any other folder;
* the `Data` folder will be about data structures, instead of the current mix of data structures and basic mathematical types not fitting in any other folder;
* the `Logic` folder will be about advanced logic results not fitting in either `ModelTheory` or `SetTheory`, instead of the current mix of basic predicates on types and advanced logic results.
Many more files (~1000) could be moved, so I will do it in several PRs. Not all files should move to `Basic`. Some files should go to `Algebra.Order` instead (eg `Data.Nat.Lattice`) and some should be straight out deprecated (eg `Data.Analysis`).
[Zulip discussion](https://leanprover.zulipchat.com/#narrow/channel/345428-mathlib-reviewers/topic/Basic.20folder/with/597151406)
---
This PR stems from discussions at the MI retreat 2026.
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[](https://gitpod.io/from-referrer/)
|
file-removed
t-data
|
165/96 |
Counterexamples/Girard.lean,Mathlib.lean,Mathlib/Algebra/CharZero/Defs.lean,Mathlib/Algebra/Group/Irreducible/Defs.lean,Mathlib/Algebra/Group/Nat/Units.lean,Mathlib/Algebra/Group/Pi/Basic.lean,Mathlib/Algebra/Group/Units/Basic.lean,Mathlib/Algebra/Group/WithOne/Defs.lean,Mathlib/Algebra/GroupWithZero/Basic.lean,Mathlib/Algebra/GroupWithZero/Defs.lean,Mathlib/Algebra/Module/Presentation/Free.lean,Mathlib/Algebra/Module/Projective.lean,Mathlib/Algebra/NeZero.lean,Mathlib/Basic/Denumerable.lean,Mathlib/Basic/ExistsUnique.lean,Mathlib/Basic/IsEmpty.lean,Mathlib/Basic/IsEmpty/Basic.lean,Mathlib/Basic/IsEmpty/Defs.lean,Mathlib/Basic/Logic/Basic.lean,Mathlib/Basic/Logic/Lemmas.lean,Mathlib/Basic/Nonempty.lean,Mathlib/Basic/Nontrivial/Basic.lean,Mathlib/Basic/Nontrivial/Defs.lean,Mathlib/Basic/README.md,Mathlib/Basic/Unique.lean,Mathlib/Basic/UnivLE.lean,Mathlib/CategoryTheory/EssentiallySmall.lean,Mathlib/CategoryTheory/Limits/Types/Colimits.lean,Mathlib/CategoryTheory/Limits/Types/Limits.lean,Mathlib/CategoryTheory/UnivLE.lean,Mathlib/Combinatorics/Quiver/Path.lean,Mathlib/Computability/Primrec/Basic.lean,Mathlib/Data/Bool/Basic.lean,Mathlib/Data/FunLike/Basic.lean,Mathlib/Data/List/Basic.lean,Mathlib/Data/List/GetD.lean,Mathlib/Data/Nat/Basic.lean,Mathlib/Data/Nat/MaxPowDiv.lean,Mathlib/Data/Option/Basic.lean,Mathlib/Data/Quot.lean,Mathlib/Data/README.md,Mathlib/Data/Rat/Denumerable.lean,Mathlib/Data/TwoPointing.lean,Mathlib/Lean/Meta/CongrTheorems.lean,Mathlib/LinearAlgebra/Matrix/Defs.lean,Mathlib/Logic/Equiv/Defs.lean,Mathlib/Logic/Equiv/List.lean,Mathlib/Logic/Function/Basic.lean,Mathlib/Logic/README.md,Mathlib/Order/OrderIsoNat.lean,Mathlib/Order/RelClasses.lean,Mathlib/Order/WithBot.lean,Mathlib/RingTheory/Coprime/Basic.lean,Mathlib/SetTheory/Cardinal/Basic.lean,Mathlib/SetTheory/Cardinal/UnivLE.lean,Mathlib/SetTheory/ZFC/Rank.lean,Mathlib/Tactic/CancelDenoms/Core.lean,Mathlib/Tactic/CongrExclamation.lean,Mathlib/Tactic/ITauto.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean,Mathlib/Tactic/Nontriviality/Core.lean,Mathlib/Tactic/Push.lean,Mathlib/Tactic/Subsingleton.lean,Mathlib/Tactic/Tauto.lean,Mathlib/Testing/Plausible/Testable.lean,Mathlib/Topology/Order/UpperLowerSetTopology.lean,MathlibTest/Linter/PrivateModule/ImportOnly.lean,scripts/autolabel.lean,scripts/noshake.json |
69 |
40 |
['SnirBroshi', 'TwoFX', 'YaelDillies', 'github-actions', 'grunweg', 'j-loreaux', 'joneugster', 'mathlib-merge-conflicts', 'themathqueen'] |
nobody |
1-55537 1 day ago |
1-55580 1 day ago |
54-64727 54 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 |
1-52311 1 day ago |
1-52947 1 day ago |
95-28800 95 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 |
1-52258 1 day ago |
2-49418 2 days ago |
2-84424 2 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 |
7 |
['YaelDillies', 'github-actions', 'marcinbugaj'] |
nobody |
1-51288 1 day ago |
2-29770 2 days ago |
7-27205 7 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 |
1-51015 1 day ago |
2-2959 2 days ago |
27-9566 27 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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[](https://gitpod.io/from-referrer/)
|
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'] |
b-mehta assignee:b-mehta |
1-50413 1 day ago |
77-80597 77 days ago |
94-41194 94 days |
| 40901 |
vihdzp author:vihdzp |
feat: zero-dimensional spaces |
We introduce an abbreviation `ZeroDimensionalSpace X = HasSmallInductiveDimensionLT 1`. We prove, in various forms, the characterization of these spaces as those that have a basis of clopen sets. We also generalize various results from profinite groups to zero-dimensional groups.
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- [x] depends on: #40897
Moved from #37444.
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|
t-topology
large-import
|
125/61 |
Mathlib/Topology/Algebra/ClopenNhdofOne.lean,Mathlib/Topology/Separation/DisjointCover.lean,Mathlib/Topology/Separation/Profinite.lean,Mathlib/Topology/SmallInductiveDimension.lean |
4 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
1-50214 1 day ago |
2-45756 2 days ago |
2-46026 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 |
1-43674 1 day ago |
24-74559 24 days ago |
24-74507 24 days |
| 42074 |
felixpernegger author:felixpernegger |
chore(Dynamics): fix defs with underscore |
This PR deprecates all (1) defs with underscore in Dynamics and renames it according to the naming convention.
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|
t-dynamics
tech debt
maintainer-merge
|
7/4 |
Mathlib/Dynamics/TopologicalEntropy/Subset.lean |
1 |
2 |
['github-actions', 'grunweg'] |
ADedecker assignee:ADedecker |
1-41184 1 day ago |
1-73931 1 day ago |
1-74416 1 day |
| 42073 |
felixpernegger author:felixpernegger |
chore(FieldTheory): fix defs with underscores |
This PR deprecates all (1) defs with underscore in FieldTheory and renames it according to the naming convention.
---
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|
t-algebra
tech debt
easy
maintainer-merge
label:t-algebra$ |
7/4 |
Mathlib/FieldTheory/Differential/Liouville.lean,Mathlib/FieldTheory/Galois/Basic.lean,Mathlib/FieldTheory/IntermediateField/Basic.lean,Mathlib/FieldTheory/LinearDisjoint.lean |
4 |
3 |
['felixpernegger', 'github-actions', 'grunweg'] |
nobody |
1-41167 1 day ago |
1-74098 1 day ago |
1-75009 1 day |
| 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 |
1-40800 1 day ago |
1-41383 1 day ago |
1-41331 1 day |
| 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'] |
nobody |
1-40531 1 day ago |
1-41072 1 day ago |
8-30415 8 days |
| 42038 |
grunweg author:grunweg |
chore: make `ModelProd` and `ModelPi` implicit_reducible |
They should not be instance reducible (their entire raison d'être is to be a type synonym
to disambiguate typeclass synthesis), but they can be implicit_reducible just fine.
This allows removing another 10-20 backcompat options.
---
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|
t-differential-geometry
tech debt
|
5/17 |
Mathlib/Geometry/Manifold/Algebra/Structures.lean,Mathlib/Geometry/Manifold/ChartedSpace.lean,Mathlib/Geometry/Manifold/Immersion.lean,Mathlib/Geometry/Manifold/IsManifold/Basic.lean,Mathlib/Geometry/Manifold/IsManifold/ExtChartAt.lean,Mathlib/Geometry/Manifold/IsManifold/InteriorBoundary.lean,Mathlib/Geometry/Manifold/MFDeriv/SpecificFunctions.lean,Mathlib/Geometry/Manifold/MFDeriv/UniqueDifferential.lean,Mathlib/Geometry/Manifold/Submersion.lean |
9 |
2 |
['github-actions', 'grunweg'] |
nobody |
1-40350 1 day ago |
1-41036 1 day ago |
1-42563 1 day |
| 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 |
1-29980 1 day ago |
1-30552 1 day ago |
28-3699 28 days |
| 41876 |
oliver-butterley author:oliver-butterley |
feat (Linter/Header): add config for custom copyright |
This PR adds the config option `linter.style.header.license` to the header linter. This allows downstream projects to use the linter on their projects even if they need to specify a different license or a different filename for the license.
|
t-linter |
40/5 |
Mathlib/Tactic/Linter/Header.lean,MathlibTest/Linter/Header/Basic.lean |
2 |
6 |
['github-actions', 'joneugster', 'oliver-butterley'] |
joneugster assignee:joneugster |
1-26622 1 day ago |
1-26622 1 day ago |
5-38812 5 days |
| 42055 |
yuanyi-350 author:yuanyi-350 |
feat: generalize `range_lt_top_of_det_eq_zero` |
|
t-algebra label:t-algebra$ |
6/10 |
Mathlib/LinearAlgebra/Determinant.lean |
1 |
3 |
['github-actions', 'themathqueen'] |
nobody |
1-26491 1 day ago |
2-44683 2 days ago |
2-44631 2 days |
| 42054 |
yuanyi-350 author:yuanyi-350 |
refactor: generalize `Module.Finite.of_surjective` to arbitrary ring homomorphisms |
|
t-ring-theory
maintainer-merge
|
9/10 |
Mathlib/RingTheory/Finiteness/Basic.lean |
1 |
4 |
['github-actions', 'themathqueen'] |
nobody |
1-26434 1 day ago |
2-45345 2 days ago |
2-45293 2 days |
| 41748 |
j2d9w5xtjn-png author:j2d9w5xtjn-png |
feat(Counterexamples): a finite free group scheme of order four not killed by four |
This PR adds a `Counterexamples/` file resolving a question of Grothendieck in the negative.
## Statement
Grothendieck asked whether a finite locally free group scheme of order `n` is killed by `n`. Deligne proved this holds for **commutative** group schemes. This file gives a counterexample in the non-commutative case.
Over the base ring `R = ℤ[a, b] / (a³, b³, a²b + 2)`, the coordinate algebra
A = R[U, V] / (U² − abU + b²V, V² − a²V)
is a Hopf algebra, finite free of rank four over `R`, whose associated affine group scheme has order four but is **not killed by four**. Concretely, the fourth convolution power of the identity is not the convolution unit:
`Counterexample.GrothendieckPower.counterexample :
Nontrivial R ∧ Module.Free R A ∧ Module.Finite R A ∧ Module.finrank R A = 4 ∧
powerMap 4 ≠ (Algebra.ofId R A).comp counit`
## Background
- **Grothendieck's question**: is a finite locally free group scheme of order `n` killed by `n`? (Recorded as open in Tate, *Finite flat group schemes*, §3.8.)
- **Deligne's theorem**: yes for commutative group schemes (Oort–Tate, *Group schemes of prime order*, §1).
- This construction answers the general (non-commutative) question negatively.
## Proof sketch
1. The base ring `R` has `2b ≠ 0`; this is certified by an explicit faithful `R`-module `M = ℤ/4 × ℤ/4 × (ℤ/2)⁵` with `a`, `b` acting by explicit additive endomorphisms.
2. `A` is built as two nested `QuadraticAlgebra`s, hence finite free of rank four.
3. With `lambda = (1 + aU)(1 + bV)`, one checks `lambda` is group-like and the given `Δ(U)`, `Δ(V)` extend to a bialgebra comultiplication.
4. `powerMap n` sends `U` to `(1 + lambda + ⋯ + lambdaⁿ⁻¹)·U`; at `n = 4` this is `2bUV ≠ 0`.
5. The eighth power map is the convolution unit, so the seventh gives an antipode: `A` is a Hopf algebra of order four not killed by four. (Consistency with Deligne: `A` is not cocommutative — `not_isCocomm`.)
## Disclosure
As stated in the module docstring, and per mathlib policy: the construction of this group scheme and its formalization were carried out with the AI assistants Codex (OpenAI) and Claude (Anthropic), under the direction of the author, who takes responsibility for the contribution.
---
- [ ] depends on: #40500
Once #40500 (affine group scheme ↔ Hopf algebra correspondence) lands, the group-scheme formulation can be restated through that API for a cleaner statement.
|
LLM-generated
new-contributor
|
1094/0 |
Counterexamples.lean,Counterexamples/GrothendieckPower.lean,Mathlib/Algebra/QuadraticAlgebra/Basic.lean,docs/references.bib |
4 |
66 |
['bwangpj', 'eric-wieser', 'github-actions', 'j2d9w5xtjn-png', 'kbuzzard', 'kim-em', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'metakunt', 'riccardobrasca'] |
nobody |
1-24555 1 day ago |
1-25094 1 day ago |
1-74518 1 day |
| 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 |
28/0 |
Mathlib/GroupTheory/Sylow.lean |
1 |
12 |
['SnirBroshi', 'copilot-pull-request-reviewer', 'github-actions', 'tb65536', 'wwylele'] |
nobody |
1-23852 1 day ago |
1-57123 1 day ago |
2-54337 2 days |
| 40848 |
fbarroero author:fbarroero |
feat(RingTheory/DedekindDomain/SInteger): the ring of S-integers is a localization and a Dedekind Domain |
We prove
```
instance IsDedekindDomain.IsLocalizationSInteger. (R : Type *) [CommRing R] [IsDedekindDomain R]
(S : Set (HeightOneSpectrum R)) (K : Type *) [Field K] [Algebra R K] [IsFractionRing R K]
[Fact (Monoid.IsTorsion (ClassGroup R))] : IsLocalization S.Submonoid (S.integer K)
```
and
```
instance IsDedekindDomain.isDedekindDomainSInteger (R : Type *) [CommRing R] [IsDedekindDomain R]
(S : Set (HeightOneSpectrum R)) (K : Type *) [Field K] [Algebra R K] [IsFractionRing R K]
[Fact (Monoid.IsTorsion (ClassGroup R))] : IsDedekindDomain (S.integer K)
```
This is joint work with @larskuehne.
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t-ring-theory
large-import
|
103/2 |
Mathlib/RingTheory/DedekindDomain/SInteger.lean |
1 |
6 |
['copilot-pull-request-reviewer', 'github-actions'] |
faenuccio assignee:faenuccio |
1-21925 1 day ago |
1-22490 1 day ago |
15-52264 15 days |
| 42063 |
felixpernegger author:felixpernegger |
chore: add newline between public and private imports |
It is (or at least seems to be) convention to make a new line between public imports and private import (and public imports should come first). This PR adds those missing newlines.
Sometimes public imports were (mistakenly?) added *after* private imports. This PR fixes this as well and orders the imports of affected lines alphabetically.
As a standalone PR, this is pretty unimportant, but ought to make the diffs (and thus reviewing) of later PRs sorting imports etc prettier
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|
213/61 |
Mathlib/Algebra/AddConstMap/Basic.lean,Mathlib/Algebra/AffineMonoid/Embedding.lean,Mathlib/Algebra/CharP/MixedCharZero.lean,Mathlib/Algebra/Group/ModEq.lean,Mathlib/Algebra/Order/Antidiag/FinsuppEquiv.lean,Mathlib/Algebra/Order/Archimedean/Real/Hom.lean,Mathlib/Algebra/Order/GroupWithZero/Basic.lean,Mathlib/Algebra/Order/Ring/Interval.lean,Mathlib/Algebra/Order/ToIntervalMod.lean,Mathlib/Algebra/Polynomial/RingDivision.lean,Mathlib/AlgebraicTopology/SimplicialSet/ProdStdSimplex.lean,Mathlib/AlgebraicTopology/SimplicialSet/StdSimplex.lean,Mathlib/Analysis/Asymptotics/AsymptoticEquivalent.lean,Mathlib/Analysis/Asymptotics/TVS.lean,Mathlib/Analysis/CStarAlgebra/ApproximateUnit.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Projection.lean,Mathlib/Analysis/CStarAlgebra/Fuglede.lean,Mathlib/Analysis/CStarAlgebra/Module/Constructions.lean,Mathlib/Analysis/CStarAlgebra/Module/Defs.lean,Mathlib/Analysis/Calculus/ContDiff/Operations.lean,Mathlib/Analysis/Calculus/Deriv/Inverse.lean,Mathlib/Analysis/Calculus/FDeriv/Basic.lean,Mathlib/Analysis/Calculus/FDeriv/OfCompLeft.lean,Mathlib/Analysis/Calculus/InverseFunctionTheorem/FDeriv.lean,Mathlib/Analysis/Calculus/TangentCone/DimOne.lean,Mathlib/Analysis/Calculus/TangentCone/Pi.lean,Mathlib/Analysis/Calculus/TangentCone/Prod.lean,Mathlib/Analysis/Calculus/TangentCone/Seq.lean,Mathlib/Analysis/Complex/BranchLogRoot.lean,Mathlib/Analysis/Complex/Isometry.lean,Mathlib/Analysis/Complex/Trigonometric.lean,Mathlib/Analysis/Complex/UpperHalfPlane/FixedPoints.lean,Mathlib/Analysis/Complex/UpperHalfPlane/Manifold.lean,Mathlib/Analysis/Convex/FunctionTopology.lean,Mathlib/Analysis/Fourier/FiniteAbelian/PontryaginDuality.lean,Mathlib/Analysis/InnerProductSpace/GramMatrix.lean,Mathlib/Analysis/InnerProductSpace/TensorProduct.lean,Mathlib/Analysis/Matrix/Hermitian.lean,Mathlib/Analysis/Normed/Algebra/GelfandFormula.lean,Mathlib/Analysis/Normed/Field/Lemmas.lean,Mathlib/Analysis/Normed/Module/PiTensorProduct/InjectiveSeminorm.lean,Mathlib/Analysis/RCLike/ContinuousMap.lean,Mathlib/Analysis/RCLike/Sqrt.lean,Mathlib/Analysis/SpecialFunctions/Choose.lean,Mathlib/Analysis/SpecialFunctions/Complex/Arctan.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/Abs.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/ExpLog/Basic.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/ExpLog/Order.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/Rpow/IntegralRepresentation.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/Rpow/Isometric.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/Rpow/Order.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/Rpow/RingInverseOrder.lean,Mathlib/Analysis/SpecialFunctions/Exp.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Arctan.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Chebyshev/ChebyshevGauss.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Chebyshev/Orthogonality.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Chebyshev/RootsExtrema.lean,Mathlib/Combinatorics/Additive/SubsetSum.lean,Mathlib/Combinatorics/Compactness.lean,Mathlib/Combinatorics/SetFamily/AhlswedeZhang.lean,Mathlib/Computability/AkraBazzi/AkraBazzi.lean,Mathlib/Computability/AkraBazzi/GrowsPolynomially.lean,Mathlib/Computability/AkraBazzi/SumTransform.lean,Mathlib/Computability/StateTransition.lean,Mathlib/Control/Monad/Cont.lean,Mathlib/Data/Fintype/Parity.lean,Mathlib/Data/Int/Bitwise.lean,Mathlib/Data/Int/ModEq.lean,Mathlib/Data/List/Lookmap.lean,Mathlib/Data/List/ModifyLast.lean,Mathlib/Data/List/OffDiag.lean,Mathlib/Data/List/Sort.lean,Mathlib/Data/Nat/Bitwise.lean,Mathlib/Data/Nat/Digits/Defs.lean,Mathlib/Data/Nat/MaxPowDiv.lean,Mathlib/Data/Nat/ModEq.lean,Mathlib/Data/Num/Lemmas.lean,Mathlib/Data/String/Basic.lean,Mathlib/Data/Tree/Basic.lean,Mathlib/FieldTheory/RatFunc/AsPolynomial.lean,Mathlib/Geometry/Euclidean/NinePointCircle.lean,Mathlib/Geometry/Euclidean/Similarity.lean,Mathlib/Geometry/Euclidean/Volume/Measure.lean,Mathlib/Geometry/Manifold/Algebra/LieGroup.lean,Mathlib/Geometry/Manifold/Algebra/Monoid.lean,Mathlib/Geometry/Manifold/Complex.lean,Mathlib/Geometry/Manifold/ContMDiff/Atlas.lean,Mathlib/Geometry/Manifold/Instances/Icc.lean,Mathlib/Geometry/Manifold/IntegralCurve/ExistUnique.lean,Mathlib/Geometry/Manifold/MFDeriv/Basic.lean,Mathlib/Geometry/Manifold/MFDeriv/UniqueDifferential.lean,Mathlib/Geometry/Manifold/VectorBundle/MDifferentiable.lean,Mathlib/Geometry/Manifold/VectorBundle/Tangent.lean,Mathlib/Geometry/Manifold/VectorBundle/Tensoriality.lean,Mathlib/Geometry/Manifold/VectorField/LieBracket.lean,Mathlib/GroupTheory/Archimedean.lean,Mathlib/GroupTheory/Congruence/Defs.lean,Mathlib/InformationTheory/Coding/KraftMcMillan.lean,Mathlib/Lean/Elab/InfoTree.lean |
158 |
5 |
['felixpernegger', 'github-actions', 'leanprover-radar', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
1-21808 1 day ago |
1-24979 1 day ago |
2-5072 2 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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|
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 |
1-21121 1 day ago |
5-59318 5 days ago |
5-59266 5 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 |
1-18490 1 day ago |
1-19274 1 day ago |
1-27693 1 day |
| 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 |
1-14679 1 day ago |
2-51361 2 days ago |
29-44647 29 days |
| 42089 |
mathlib-splicebot author:mathlib-splicebot |
fix(LinearAlgebra/Matrix/Notation): fix defeq abuse in lemma |
---
This PR was automatically created from PR #39161 by @alreadydone via a [review comment](https://github.com/leanprover-community/mathlib4/pull/39161#discussion_r3650515623) by @themathqueen. |
t-algebra
easy
maintainer-merge
label:t-algebra$ |
1/1 |
Mathlib/LinearAlgebra/Matrix/Notation.lean |
1 |
3 |
['github-actions', 'themathqueen'] |
nobody |
1-11040 1 day ago |
1-12697 1 day ago |
1-12645 1 day |
| 42079 |
JX-Mo author:JX-Mo |
refactor(RepresentationTheory): weaken condition of Schur's lemma and add a surjective lemma |
(1) Add a missing lemma `IsIrreducible.surjective_or_eq_zero` parallel to the existing `injective` `bijective` lemmas.
(2) 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.
These have 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)]` in (2) can be easily deduced from the definition of being "irreducible admissible smooth" by using (1) |
new-contributor
t-algebra
label:t-algebra$ |
20/14 |
Mathlib/RepresentationTheory/AlgebraRepresentation/Basic.lean,Mathlib/RepresentationTheory/Irreducible.lean |
2 |
2 |
['github-actions'] |
nobody |
1-10007 1 day ago |
1-56693 1 day ago |
1-56641 1 day |
| 42090 |
themathqueen author:themathqueen |
fix(LinearAlgebra/Matrix/Notation): fix defeq abuse in lemmas |
---
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followup on #42089
[](https://gitpod.io/from-referrer/)
|
t-algebra
easy
label:t-algebra$ |
2/2 |
Mathlib/LinearAlgebra/Matrix/Notation.lean |
1 |
1 |
['github-actions'] |
nobody |
1-9648 1 day ago |
1-11197 1 day ago |
1-11157 1 day |
| 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 |
1-9548 1 day ago |
1-10259 1 day ago |
1-10222 1 day |
| 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 |
1-8899 1 day ago |
9-14748 9 days ago |
17-36822 17 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 |
2 |
['github-actions'] |
nobody |
1-7587 1 day ago |
6-79510 6 days ago |
6-79458 6 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 |
1-7482 1 day ago |
14-47707 14 days ago |
30-17224 30 days |
| 39829 |
or4nge19 author:or4nge19 |
feat(LinearAlgebra): basis flag lemmas and genEigenspace map |
Part 1/3 of #39139.
Introduces basis flag lemmas and intertwining `genEigenspace` map, using directly available constructors, ie introducing none (so improving on #39139)
Co-authored-by: [kuotsanhsu](https://github.com/kuotsanhsu) [learningstud@gmail.com](mailto:learningstud@gmail.com)
---
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|
t-algebra
large-import
label:t-algebra$ |
76/2 |
Mathlib/LinearAlgebra/Basis/Flag.lean,Mathlib/LinearAlgebra/Eigenspace/Basic.lean |
2 |
3 |
['github-actions', 'themathqueen'] |
themathqueen assignee:themathqueen |
1-7347 1 day ago |
62-17985 62 days ago |
62-17960 62 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 |
8 |
['JX-Mo', 'Whysoserioushah', 'github-actions'] |
nobody |
1-7260 1 day ago |
13-31363 13 days ago |
13-31331 13 days |
| 41808 |
JX-Mo author:JX-Mo |
feat(RepresentationTheory): add induction_on and relation-equalities lemmas for induced representations |
Add an `induction_on` lemma for `IndV`, which packages `Coinvariants.induction_on` `TensorProduct.induction` `MonoidAlgebra.induction_linear`. The remaining two induction steps are extremely simple: step`mk` for elementary generators of the form `⟦h⊗a⟧=IndV.mk _ _ h a` and another step `add` for the addition induction.
Add two relation equality lemmas, describing the action coming from the source group on the induced representation.
The purpose is to treat induced representations in Mathlib as how we do in paper: prove things by using elementary generators and relations. Note that`IndV` and `IndV.mk` are abbrev's, so `simp` would expose the implementation and unfold the simpler expressions in practice. |
t-algebra
new-contributor
label:t-algebra$ |
28/0 |
Mathlib/RepresentationTheory/Induced.lean |
1 |
2 |
['github-actions'] |
nobody |
1-6221 1 day ago |
10-46915 10 days ago |
10-46894 10 days |
| 42092 |
D-Thomine author:D-Thomine |
Refactor(UniformIntegrable): Change the definition of UnifIntegrable |
From
`∀ ⦃ε : ℝ⦄ (_ : 0 < ε), ∃ (δ : ℝ) (_ : 0 < δ), ∀ i s, MeasurableSet s → μ s ≤ ENNReal.ofReal δ → eLpNorm (s.indicator (f i)) p μ ≤ ENNReal.ofReal ε`
to
`Tendsto (fun ε ↦ ⨆ (i : ι) (s : Set α) (_ : μ s ≤ ε), eLpNorm (f i) p (μ.restrict s)) (𝓝 0) (𝓝 0)`
Mains effects are first to work directly in `ℝ≥0∞` instead of working in `ℝ` or `ℝ≥0` and coercing, with tends to simplify everything but needs extensive fixes, and secondly to benefit from all the library developed for filters.
Another suggestion was to use the definition `Tendsto (fun s ↦ ⨆ (i : ι), eLpNorm (f i) p (μ.restrict s)) (comap μ (𝓝 0)) (𝓝 0)`, which is cleaner, but hard to use due to the lack of lemmas around `(comap μ (𝓝 0))`. This might be interesting in the future if this latter filter see some other use, but is somewhat cumbersome right now.
For now, lemmas `unifIntegrable_iff` and `unifIntegrable_iff'` provide the equivalence between the new and the old definitions (modulo the coercion), which is useful to limit the modifications of downstream results. I intend to keep working on this file to put lemmas and proofs more directly in line with the newer definition.
---
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|
t-measure-probability |
346/372 |
Mathlib/MeasureTheory/Function/ConditionalExpectation/Real.lean,Mathlib/MeasureTheory/Function/ConvergenceInMeasure.lean,Mathlib/MeasureTheory/Function/Egorov.lean,Mathlib/MeasureTheory/Function/UnifTight.lean,Mathlib/MeasureTheory/Function/UniformIntegrable.lean,Mathlib/Probability/Kernel/Disintegration/Density.lean |
6 |
1 |
['github-actions'] |
nobody |
1-5481 1 day ago |
1-5481 1 day ago |
1-5429 1 day |
| 36313 |
SproutSeeds author:SproutSeeds |
feat(Inversion): cobounded tendsto near center |
Part of #5939
Add `tendsto_inversion_nhdsNE_center_cobounded` in `Mathlib/Geometry/Euclidean/Inversion/Basic.lean`, proving `Tendsto (inversion c R) (𝓝[≠] c) (Bornology.cobounded P)` for `R ≠ 0`.
Tools used: Codex 5.3 extra high
---
Happy to adjust naming, placement, or proof style based on maintainer preference.
|
t-euclidean-geometry
new-contributor
LLM-generated
|
28/0 |
Mathlib/Geometry/Euclidean/Inversion/Basic.lean |
1 |
14 |
['SproutSeeds', 'euprunin', 'github-actions', 'jsm28', 'kbuzzard', 'ocfnash'] |
jsm28 assignee:jsm28 |
1-2957 1 day ago |
1-3366 1 day ago |
7-40014 7 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.
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- [x] depends on: #41149
[](https://gitpod.io/from-referrer/)
|
t-analysis |
130/1 |
Mathlib/Analysis/InnerProductSpace/Reproducing.lean |
1 |
6 |
['Maldooor', 'TJHeeringa', 'github-actions', 'mathlib-bors', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
0-85268 23 hours ago |
6-287 6 days ago |
6-32519 6 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 |
0-79004 21 hours ago |
0-81979 22 hours ago |
0-81927 22 hours |
| 42095 |
DrDMT-VR author:DrDMT-VR |
feat(Analysis/CStarAlgebra): the non-unital CFC maps into closed two-sided ideals |
## What
For a non-unital C*-algebra `A`, a closed two-sided ideal `I`, an element `a ∈ I`, and any
`f : ℝ → ℝ`, this proves `cfcₙ f a ∈ I`. No hypotheses on `f` are needed: whenever `cfcₙ`
would take its junk value (`f` not continuous on the quasispectrum, `f 0 ≠ 0`, or `a` not
selfadjoint) that value is `0 ∈ I`.
New declarations (namespace `TwoSidedIdeal`):
- `smul_mem_of_isClosed` — a closed two-sided ideal in a non-unital C*-algebra is closed
under the scalar action (proved via the canonical approximate unit `CStarAlgebra.approximateUnit`).
- `cfcₙHom_mem_of_isClosed` — for selfadjoint `a ∈ I`, every value of the underlying
homomorphism `cfcₙHom` lies in `I` (Weierstrass induction on `C(σₙ ℝ a, ℝ)₀`).
- `cfcₙ_mem_of_isClosed` — the main result.
## Why
Closed two-sided ideals of a C*-algebra are hereditary under the continuous functional
calculus; this is a basic tool for spectral-projection and ideal-membership arguments, and
complements the existing "cfc commutes with *-homomorphisms" results. `smul_mem_of_isClosed`
is of independent interest (a closed two-sided ideal is a submodule).
## Notes
This is my second contribution (see #42093). I checked the referenced cfc / approximate-unit
API against current master at the source level; CI is the first full build and I will fix
anything it flags. Suggested location `Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Ideal.lean`;
happy to relocate if preferred.
|
t-analysis
new-contributor
|
91/0 |
Mathlib.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Ideal.lean |
2 |
2 |
['github-actions'] |
nobody |
0-74813 20 hours ago |
0-75379 20 hours ago |
0-75470 20 hours |
| 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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- [x] depends on: #26380
- [x] depends on: #25650
- [x] depends on: #26614
- [x] depends on: #33249
- [x] depends on: #33506
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
17/2 |
Mathlib/Combinatorics/SimpleGraph/Girth.lean |
1 |
10 |
['SnirBroshi', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
nobody |
0-72835 20 hours ago |
5-44873 5 days ago |
24-31599 24 days |
| 42093 |
DrDMT-VR author:DrDMT-VR |
feat(Topology/Algebra/Ring): topological closure of a two-sided ideal |
## What
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).
## Why
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".
## Notes
This is my first mathlib contribution. I checked the file against current master at the
source level (the referenced API resolves), but CI is the first full build and I will
happily fix anything it flags. I named the definition `closure` to match the
`Ideal.closure` precedent, but am glad to rename to `topologicalClosure` or relocate the
file if preferred.
|
t-topology
new-contributor
|
114/0 |
Mathlib.lean,Mathlib/Topology/Algebra/Ring/TwoSidedIdeal.lean |
2 |
2 |
['github-actions'] |
nobody |
0-69774 19 hours ago |
1-456 1 day ago |
1-551 1 day |
| 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 |
0-68882 19 hours ago |
29-46407 29 days ago |
31-70052 31 days |
| 41181 |
joelriou author:joelriou |
feat(CategoryTheory): limits in Comma categories |
Under suitable assumptions, `Comma.fst/snd` jointly reflect (co)limits. These additions allow to simplify the definition `coneOfPreservesIsLimit` and its dual.
---
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|
t-category-theory |
58/28 |
Mathlib/CategoryTheory/Limits/Comma.lean |
1 |
13 |
['github-actions', 'joelriou', 'smorel394'] |
robin-carlier assignee:robin-carlier |
0-68881 19 hours ago |
26-20946 26 days ago |
26-38308 26 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 |
0-68880 19 hours ago |
26-38201 26 days ago |
26-38149 26 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'] |
j-loreaux assignee:j-loreaux |
0-68879 19 hours ago |
17-56782 17 days ago |
17-56730 17 days |
| 41595 |
NoahW314 author:NoahW314 |
feat(Probability/ProbabilityMassFunction): add missing `PMF` instances (`Nontrivial`, `IsEmpty`, etc.) |
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|
t-measure-probability |
19/0 |
Mathlib/Probability/ProbabilityMassFunction/Basic.lean,Mathlib/Probability/ProbabilityMassFunction/Monad.lean |
2 |
1 |
['github-actions'] |
EtienneC30 assignee:EtienneC30 |
0-68878 19 hours ago |
16-6889 16 days ago |
16-6837 16 days |
| 41639 |
adomani author:adomani |
chore: add missing `to_additive` docstrings in MeasureTheory.Group |
Adds the missing additive doc-strings (multiplicative side has a hand-written doc-string, additive side did not) across 3 file(s) in **MeasureTheory.Group**.
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-measure-probability
|
41/16 |
Mathlib/MeasureTheory/Group/Arithmetic.lean,Mathlib/MeasureTheory/Group/FundamentalDomain.lean,Mathlib/MeasureTheory/Group/Measure.lean |
3 |
1 |
['github-actions'] |
EtienneC30 assignee:EtienneC30 |
0-68877 19 hours ago |
14-29423 14 days ago |
14-29371 14 days |
| 41980 |
mcdoll author:mcdoll |
feat(Analysis): the generalized hypergeometric function |
We define the (regularized) generalized hypergeometric function and prove convergence in the cases `p < q + 1` and `p = q + 1`. This includes the Gaussian hypergeometric function (`p = 2` and `q = 1`) and the Bessel functions (`p = 0` and `q = 1`).
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|
t-analysis |
288/1 |
Mathlib.lean,Mathlib/Analysis/SpecialFunctions/Gamma/Basic.lean,Mathlib/Analysis/SpecialFunctions/Gamma/Beta.lean,Mathlib/Analysis/SpecialFunctions/Gamma/Deriv.lean,Mathlib/Analysis/SpecialFunctions/Hypergeometric.lean |
5 |
4 |
['github-actions', 'wwylele'] |
j-loreaux assignee:j-loreaux |
0-68876 19 hours ago |
4-64189 4 days ago |
4-64320 4 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 |
0-68875 19 hours ago |
2-23902 2 days ago |
2-23859 2 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
|
126/11 |
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 |
3 |
['felixpernegger', 'github-actions', 'scholzhannah'] |
nobody |
0-67980 18 hours ago |
32-60753 32 days ago |
32-60947 32 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 |
0-67979 18 hours ago |
21-73610 21 days ago |
60-32348 60 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 |
0-67978 18 hours ago |
46-45227 46 days ago |
46-62177 46 days |
| 42101 |
DrDMT-VR author:DrDMT-VR |
feat(NumberTheory/LSeries): conjugation symmetry for the completed Riemann zeta function |
Adds conjugation symmetry for the completed Riemann zeta functions and for Deligne's archimedean
Gamma factor:
* `Complex.Gammaℝ_conj : Gammaℝ (conj s) = conj (Gammaℝ s)`
(`Mathlib/Analysis/SpecialFunctions/Gamma/Deligne.lean`)
* `completedRiemannZeta₀_conj : completedRiemannZeta₀ (conj s) = conj (completedRiemannZeta₀ s)`
* `completedRiemannZeta_conj : completedRiemannZeta (conj s) = conj (completedRiemannZeta s)`
(both in `Mathlib/NumberTheory/LSeries/RiemannZeta.lean`)
All three hold for **every** `s : ℂ`, with no points excluded — in particular no exclusion of the
poles `s = 0, 1` of `Λ`, since `Λ` is built from the entire function `Λ₀` by subtracting
`1 / s + 1 / (1 - s)` and Mathlib's `1 / 0 = 0` convention makes both sides agree there. They are
tagged `@[simp]`, matching the existing `riemannZeta_conj`.
### Why
Conjugation symmetry is a basic structural fact about `ζ` that Mathlib already has
(`riemannZeta_conj`, in `Mathlib/NumberTheory/Harmonic/ZetaAsymp.lean`), but the corresponding
statements for the completed functions `Λ`, `Λ₀` and for `Gammaℝ` were missing. The `Λ` version is
the one actually needed for work on the critical line: combined with the functional equation
`completedRiemannZeta_one_sub` it gives `conj (Λ ⟨1/2, t⟩) = Λ ⟨1/2, t⟩`, i.e. the Riemann
Ξ-function is real-valued on the critical line. It is also the natural form for completed
L-function arguments generally, where `Λ` rather than `ζ` is the object with the clean symmetry.
Note the `Λ` statements do **not** follow formally from `riemannZeta_conj`: the bridge
`riemannZeta_def_of_ne_zero` reads `ζ s = Λ s / Gammaℝ s`, and `Gammaℝ` vanishes at the trivial
zeros, so it cannot be inverted. The proof here instead runs the identity principle directly on the
entire function `Λ₀`.
### Proof
On the halfplane `1 < re s` the Dirichlet-series representation
`completedZeta_eq_tsum_of_one_lt_re` conjugates termwise (real coefficients), giving the result for
`Λ` and hence for `Λ₀` via `completedRiemannZeta_eq`. Since `Λ₀` is entire
(`differentiable_completedZeta₀`) and `conj ∘ Λ₀ ∘ conj` is entire by
`DifferentiableAt.conj_conj`, `AnalyticOnNhd.eq_of_eventuallyEq` propagates the identity from a
neighbourhood of `2` to all of `ℂ`. Transferring back through `completedRiemannZeta_eq` — which is
unconditional — yields `completedRiemannZeta_conj` with no side conditions.
### Drive-by
`riemannZeta_conj` in `Mathlib/NumberTheory/Harmonic/ZetaAsymp.lean` is golfed from ~25 lines to 4
by deriving it from `completedRiemannZeta_conj` and `Gammaℝ_conj` (statement, name and `@[simp]`
attribute unchanged); its two now-unused private imports are dropped. It no longer depends on
anything in `ZetaAsymp`, so it could reasonably be relocated to `RiemannZeta.lean` alongside the new
lemmas — happy to do that in this PR if reviewers prefer.
`Mathlib/NumberTheory/LSeries/RiemannZeta.lean` gains one import,
`Mathlib.Analysis.Calculus.Deriv.Star` (2 extra modules in the transitive closure).
### Checks
Built locally against master (`v4.33.0-rc1`): full `lake build Mathlib` completes with zero errors
and zero warnings; `lake exe lint-style` is clean on all three touched files. No `sorry`, no new
axioms.
This PR is standalone and independent of my other open PRs (#42093, #42095, #42100).
|
new-contributor |
92/30 |
Mathlib/Analysis/SpecialFunctions/Gamma/Deligne.lean,Mathlib/NumberTheory/Harmonic/ZetaAsymp.lean,Mathlib/NumberTheory/LSeries/RiemannZeta.lean |
3 |
2 |
['github-actions'] |
nobody |
0-63476 17 hours ago |
0-64067 17 hours ago |
0-64015 17 hours |
| 42088 |
acmepjz author:acmepjz |
fix(RingTheory/Ideal/Height): mem_minimalPrimes_of_height_eq should be mem_minimalPrimes_of_height_le |
According to the theorem statement and docstring, `Ideal.mem_minimalPrimes_of_height_eq` introduced in #21041 should be named `Ideal.mem_minimalPrimes_of_height_le`. This PR rename it and add a deprecated alias.
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|
t-ring-theory
t-algebra
easy
label:t-algebra$ |
8/5 |
Mathlib/RingTheory/Ideal/Height.lean,Mathlib/RingTheory/Ideal/KrullsHeightTheorem.lean |
2 |
1 |
['github-actions'] |
nobody |
0-46655 12 hours ago |
1-12748 1 day ago |
1-12835 1 day |
| 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 |
0-42231 11 hours ago |
0-56018 15 hours ago |
24-39301 24 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 |
0-37755 10 hours ago |
0-40593 11 hours ago |
0-40541 11 hours |
| 42105 |
vlad902 author:vlad902 |
feat(Subgroup/Center): maps of `Subgroup.center` |
Prove that that Monoid/Group isomorphisms map centers to centers.
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|
t-group-theory |
40/4 |
Mathlib/GroupTheory/Subgroup/Center.lean,Mathlib/GroupTheory/Submonoid/Center.lean |
2 |
1 |
['github-actions'] |
nobody |
0-37350 10 hours ago |
0-40086 11 hours ago |
0-40034 11 hours |
| 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 |
0-36684 10 hours ago |
0-40024 11 hours ago |
0-39972 11 hours |
| 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 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 |
10 |
['SnirBroshi', 'github-actions', 'j-loreaux', 'themathqueen'] |
nobody |
0-35124 9 hours ago |
0-35175 9 hours ago |
6-46871 6 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 |
0-34340 9 hours ago |
0-37695 10 hours ago |
48-62656 48 days |
| 37723 |
xgenereux author:xgenereux |
feat(Adjoin/Polynomial/Transcendental): Adjoining transcendental elements |
This PR establishes some basic properties about `A[y]` when `y` is transcendental over `A`. These are mostly just carried over from `A[X]`.
- Move `algEquivOfTranscendental` in the newly created file `Mathlib.RingTheory.Adjoin.Polynomial.Transcendental`
- Add `Algebra.adjoin.evalOfTranscendental`. This is technically very similar to `Algebra.adjoin.liftSingleton` but the definition is much simpler. It is also currently more general in the sense that it doesn't require `A` to be a field.
- Some basic instances from `Polynomial`. Note that these are actually theorems because of the hypothesis `(h : Transcendental R s)` everywhere. I've also added a `Fact` version to allow the possibility of instances.
Last note : I initially considered adding some results in `RingTheory.Polynomial.Quotient` where I golfed the file a tiny bit. I removed the unused results but kept the golf.
AI disclaimer : I used Claude to give me some feedback on the PR.
Co-authored-by: María Inés de Frutos Fernández <[mariaines.dff@gmail.com](mailto:mariaines.dff@gmail.com)>
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|
t-ring-theory |
167/69 |
Mathlib.lean,Mathlib/FieldTheory/RatFunc/AsPolynomial.lean,Mathlib/RingTheory/Adjoin/Polynomial/Basic.lean,Mathlib/RingTheory/Adjoin/Polynomial/Bivariate.lean,Mathlib/RingTheory/Adjoin/Polynomial/Transcendental.lean,Mathlib/RingTheory/Algebraic/Basic.lean,Mathlib/RingTheory/Polynomial/Quotient.lean |
7 |
6 |
['github-actions', 'leanprover-radar', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'riccardobrasca'] |
nobody |
0-32489 9 hours ago |
0-33884 9 hours ago |
42-80907 42 days |
| 42109 |
vlad902 author:vlad902 |
feat(GroupTheory/FreeGroup/IsFreeGroup): to_additive'ize file |
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|
t-group-theory |
77/8 |
Mathlib/GroupTheory/FreeGroup/IsFreeGroup.lean |
1 |
1 |
['github-actions'] |
nobody |
0-27256 7 hours ago |
0-27794 7 hours ago |
0-28240 7 hours |
| 42103 |
yoh-tanimoto author:yoh-tanimoto |
feat(MeasureTheory/VectorMeasure): prove finiteness of ComplexMeasure |
add the real and imaginary parts of a complex measure `μ` as complex measures, add instance `IsFiniteMeasure μ.variation`.
motivation: this is a part of the proof of the complex version of the RMK theorem.
I used Codex to find APIs. The final code is mostly written by me.
Co-authored-by: @oliver-butterley |
t-measure-probability |
99/0 |
Mathlib.lean,Mathlib/MeasureTheory/VectorMeasure/Basic.lean,Mathlib/MeasureTheory/VectorMeasure/Complex/Basic.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Basic.lean |
4 |
3 |
['CoolRmal', 'github-actions'] |
nobody |
0-24610 6 hours ago |
0-42556 11 hours ago |
0-42644 11 hours |
| 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 |
0-19807 5 hours ago |
1-19114 1 day ago |
1-19062 1 day |
| 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 |
0-18978 5 hours ago |
1-44421 1 day ago |
1-44369 1 day |
| 42112 |
NoahW314 author:NoahW314 |
chore(RingTheory): fix left/right convention on `Ideal.mul_le_{left,right}` |
Swap `Ideal.mul_le_left` and `Ideal.mul_le_right` so that they follow the left/right naming convention.
---
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|
t-ring-theory |
50/50 |
Mathlib/RingTheory/AdicCompletion/Algebra.lean,Mathlib/RingTheory/DedekindDomain/Different.lean,Mathlib/RingTheory/DedekindDomain/Factorization.lean,Mathlib/RingTheory/DedekindDomain/Ideal/Lemmas.lean,Mathlib/RingTheory/DividedPowers/Basic.lean,Mathlib/RingTheory/DividedPowers/SubDPIdeal.lean,Mathlib/RingTheory/Extension/Basic.lean,Mathlib/RingTheory/Extension/Cotangent/Basis.lean,Mathlib/RingTheory/Finiteness/Ideal.lean,Mathlib/RingTheory/Finiteness/NilpotentKer.lean,Mathlib/RingTheory/Ideal/IsPrimary.lean,Mathlib/RingTheory/Ideal/Operations.lean,Mathlib/RingTheory/Ideal/Pure.lean,Mathlib/RingTheory/Ideal/Quotient/Operations.lean,Mathlib/RingTheory/Ideal/Quotient/PowTransition.lean,Mathlib/RingTheory/Kaehler/JacobiZariski.lean,Mathlib/RingTheory/PicardGroup.lean,Mathlib/RingTheory/Polynomial/ContentIdeal.lean,Mathlib/RingTheory/PrincipalIdealDomainOfPrime.lean,Mathlib/RingTheory/Smooth/Quotient.lean,Mathlib/RingTheory/Spectrum/Prime/Basic.lean |
21 |
1 |
['github-actions'] |
nobody |
0-17288 4 hours ago |
0-19073 5 hours ago |
0-19021 5 hours |
| 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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[](https://gitpod.io/from-referrer/)
|
t-euclidean-geometry
t-measure-probability
|
313/0 |
Mathlib.lean,Mathlib/Geometry/Euclidean/Volume/Basic.lean,Mathlib/Geometry/Euclidean/Volume/Def.lean,Mathlib/Geometry/Euclidean/Volume/MeasureSimplex.lean,MathlibTest/positivity.lean |
5 |
11 |
['copilot-pull-request-reviewer', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
kex-y assignee:kex-y |
0-16739 4 hours ago |
26-8446 26 days ago |
26-8867 26 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 reparametrization.
---
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|
t-topology
new-contributor
|
249/0 |
Mathlib.lean,Mathlib/Topology/EMetricSpace/PathLength.lean |
2 |
2 |
['github-actions'] |
nobody |
0-16442 4 hours ago |
0-17140 4 hours ago |
0-18063 5 hours |
| 41962 |
juanjomadrigal author:juanjomadrigal |
feat(Counterexamples): the space ω₁ |
Introduce the `ω₁` ordinal space that, when given the order topology, may be used to build some nice counterexamples in general topology, namely
- A subspace of a paracompact space need not be paracompact
- The product of two normal spaces need not be normal
- A subspace of a normal space need not be normal
- A regular space need not be normal
This PR introduces the basic definitions and order-theoretic properties, in order to have a good set of tools to work with.
---
Subsequent commits / PRs would roughly cover:
- Topology definitions in that space
- Compactness (and non-compactness) properties
- Countability properties
- Non-metrizability
- Each of the properties above
[](https://gitpod.io/from-referrer/)
|
new-contributor |
158/0 |
Counterexamples.lean,Counterexamples/Omega1Space.lean |
2 |
22 |
['FrankieNC', 'felixpernegger', 'github-actions', 'juanjomadrigal', 'plp127', 'vihdzp'] |
nobody |
0-14374 3 hours ago |
4-38975 4 days ago |
5-81013 5 days |
| 42115 |
felixpernegger author:felixpernegger |
chore(Geometry): fix defs with underscores |
This PR deprecates all (6) defs with underscore in FieldTheory and renames it according to the naming convention.
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|
t-differential-geometry |
149/83 |
Mathlib/Geometry/Manifold/ChartedSpace.lean,Mathlib/Geometry/Manifold/IsManifold/Basic.lean,Mathlib/Geometry/Manifold/VectorBundle/CovariantDerivative/Basic.lean,Mathlib/Geometry/Manifold/VectorBundle/LocalFrame.lean,Mathlib/Geometry/Manifold/VectorBundle/Tensoriality.lean |
5 |
2 |
['felixpernegger', 'github-actions'] |
nobody |
0-13003 3 hours ago |
0-14348 3 hours ago |
0-14296 3 hours |
| 42043 |
bixbyr author:bixbyr |
feat(GroupTheory/SpecificGroups/Suzuki): define Suzuki groups |
Basic definition of the Suzuki groups $Sz(2^{2n+1})$ as a subgroup of $GL(4, GF(2^{2n+1}))$. This first commit only defines the Suzuki group and proves that it is a subgroup of $GL(4, GF(2^{2n+1}))$.
The convention was made to refer to the generators using descriptive names rather than as S(a,b) and W as is standard in group theory. For the same reason I called it suzukiGroup instead of Sz(n). I tried to be as concise as possible definitions such as unipotent instead of writing something like
```
def unipotent (a b : Fq n) : GL (Fin 4) (Fq n) := by
have h_det : (unipotentMatrix n a b).det = 1 := det_unipotentMatrix n a b
have h_det_is_unit : IsUnit (unipotentMatrix n a b).det := by
rw [h_det]
exact isUnit_one
have h_matrix_is_unit : IsUnit (unipotentMatrix n a b) :=
(isUnit_iff_isUnit_det (A := unipotentMatrix n a b)).mpr h_det_is_unit
exact h_matrix_is_unit.unit
```
Gemini 3.1 pro was used to write a rough draft of the definition, but it was then fully rewritten by hand. This was to get a feeling for the stages of first defining the matrices, then showing they were in GL_4.
---
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|
t-group-theory
new-contributor
|
92/0 |
Mathlib.lean,Mathlib/GroupTheory/SpecificGroups/Suzuki.lean |
2 |
8 |
['SnirBroshi', 'bixbyr', 'github-actions', 'vlad902', 'wwylele'] |
nobody |
0-11830 3 hours ago |
1-9724 1 day ago |
1-9672 1 day |
| 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
|
144/0 |
Mathlib.lean,Mathlib/RingTheory/Noetherian/InjectiveModule.lean |
2 |
13 |
['NoahW314', 'github-actions'] |
nobody |
0-10889 3 hours ago |
0-15725 4 hours ago |
0-15673 4 hours |
| 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$ |
58/13 |
Mathlib/Algebra/Module/Submodule/Ker.lean,Mathlib/Algebra/Module/Submodule/Map.lean,Mathlib/Algebra/Module/Submodule/Range.lean,Mathlib/LinearAlgebra/Dimension/RankNullity.lean |
4 |
9 |
['ChiCubed', 'github-actions', 'themathqueen', 'wwylele'] |
nobody |
0-9057 2 hours ago |
0-11275 3 hours ago |
42-9948 42 days |
| 34280 |
gasparattila author:gasparattila |
feat(Topology/Sets): local connectedness of `(Nonempty)Compacts` |
---
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|
t-topology |
67/0 |
Mathlib/Topology/Sets/VietorisTopology.lean |
1 |
7 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
nobody |
0-8974 2 hours ago |
0-9527 2 hours ago |
0-9755 2 hours |
| 41994 |
emilyriehl author:emilyriehl |
feat(CategoryTheory): initial object implies corepresentable |
If the category of elements of a covariant functor has an initial object, then the functor is corepresentable.
---
Last September I developed an autoformalization test to prove the theorem stated above and its converse, which is now in Mathlib, but was missing at the time. I used this to test AlphaProof, Gauss, and Harmonic.
Now that this benchmark is easily saturated, the full result should appear in mathlib. The formalization I have here was originally done by hand but was golfed by the models, I believe in this instance by Gauss. (My formalization was decomposed through a series of conceptual steps, while Gauss instead just proved the theorem directly without using the Yoneda lemma for instance.)
In my version, which uses lean4:v4.25.0-rc2, I have a proof also of the dual result, which breaks here with an error message I do not understand. I pushed this in the initial commit here and will reproduce the code below for discussion.
[](https://gitpod.io/from-referrer/)
|
t-category-theory |
54/5 |
Mathlib/CategoryTheory/Limits/Elements.lean |
1 |
20 |
['emilyriehl', 'github-actions', 'joelriou', 'robin-carlier'] |
nobody |
0-7864 2 hours ago |
0-13445 3 hours ago |
0-73221 20 hours |
| 42094 |
TJHeeringa author:TJHeeringa |
chore: deprecate apply_eq_iff_eq_symm_apply |
`apply_eq_iff_eq_symm_apply` is `Iff.symm` of `eq_symm_apply`. This deprecates the former in favour of the latter.
---
Almost every `Equivlike` has the lemma `eq_symm_apply`. Some have the additional lemma `apply_eq_iff_eq_symm_apply`. In [#mathlib4 > `apply_eq_iff_symm_apply` and `eq_symm_apply ` duplicates?](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/.60apply_eq_iff_symm_apply.60.20and.20.60eq_symm_apply.20.60.20duplicates.3F/with/612633039), it was concluded that we could deprecate the latter.
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|
98/85 |
Mathlib/Algebra/BigOperators/Finsupp/Basic.lean,Mathlib/Algebra/Category/Grp/Adjunctions.lean,Mathlib/Algebra/Group/Action/Basic.lean,Mathlib/Algebra/Group/Equiv/Defs.lean,Mathlib/Algebra/Group/Units/Equiv.lean,Mathlib/Algebra/Lie/Basic.lean,Mathlib/Algebra/Lie/Extension.lean,Mathlib/Algebra/Lie/Submodule.lean,Mathlib/Algebra/Module/TransferInstance.lean,Mathlib/Algebra/Order/Hom/Monoid.lean,Mathlib/Algebra/Torsor/Defs.lean,Mathlib/Algebra/Tropical/Basic.lean,Mathlib/AlgebraicTopology/SimplicialSet/StdSimplex.lean,Mathlib/Analysis/Real/Sqrt.lean,Mathlib/CategoryTheory/FintypeCat.lean,Mathlib/CategoryTheory/Preadditive/Biproducts.lean,Mathlib/Combinatorics/SimpleGraph/Maps.lean,Mathlib/Combinatorics/SimpleGraph/Subgraph.lean,Mathlib/Data/DFinsupp/BigOperators.lean,Mathlib/Data/Fin/Tuple/Sort.lean,Mathlib/Data/Finsupp/Basic.lean,Mathlib/Data/Finsupp/Multiset.lean,Mathlib/Data/Finsupp/Option.lean,Mathlib/Data/Matrix/PEquiv.lean,Mathlib/Data/Opposite.lean,Mathlib/Data/ZMod/QuotientGroup.lean,Mathlib/FieldTheory/PolynomialGaloisGroup.lean,Mathlib/GroupTheory/Complement.lean,Mathlib/GroupTheory/CoprodI.lean,Mathlib/GroupTheory/Perm/ConjAct.lean,Mathlib/LinearAlgebra/AffineSpace/AffineEquiv.lean,Mathlib/LinearAlgebra/Matrix/Transvection.lean,Mathlib/LinearAlgebra/TensorProduct/Tower.lean,Mathlib/Logic/Basic.lean,Mathlib/Logic/Equiv/Defs.lean,Mathlib/Logic/Equiv/Fin/Basic.lean,Mathlib/Logic/Equiv/Option.lean,Mathlib/Logic/Equiv/Set.lean,Mathlib/NumberTheory/NumberField/Units/DirichletTheorem.lean,Mathlib/Order/Hom/Basic.lean,Mathlib/Order/RelIso/Basic.lean,Mathlib/Order/SymmDiff.lean,Mathlib/RingTheory/Perfection.lean,Mathlib/RingTheory/PicardGroup.lean,Mathlib/Topology/Algebra/AffineSubspace.lean,Mathlib/Topology/Algebra/ContinuousAffineEquiv.lean,Mathlib/Topology/Algebra/ContinuousMonoidHom.lean,Mathlib/Topology/ContinuousMap/ContinuousMapZero.lean,Mathlib/Topology/Covering/Quotient.lean,Mathlib/Topology/Instances/AddCircle/Defs.lean |
50 |
1 |
['github-actions'] |
nobody |
0-2704 45 minutes ago |
0-5876 1 hour ago |
0-8385 2 hours |
| 42114 |
NoahW314 author:NoahW314 |
feat(Topology/Order/Basic): add `isOpen_Ioo'` |
This complements the existing `isOpen_Ioo`.
---
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|
t-topology
easy
|
4/0 |
Mathlib/Topology/Order/Basic.lean |
1 |
3 |
['NoahW314', 'github-actions', 'plp127'] |
nobody |
0-2290 38 minutes ago |
0-14671 4 hours ago |
0-14619 4 hours |
| 42116 |
jyh author:jyh |
feat(Counterexamples): the Jacobian conjecture is false |
We verify that the Jacobian conjecture is false, using the 2026 counterexample of Levent Alpöge (crediting Akhil Mathew), which gives an explicit polynomial self-map of ℚ³ with Jacobian determinant −2 that is not injective. Hence it admits no polynomial (nor even set-theoretic) inverse.
The statement here is aligned with the formalization in google-deepmind/formal-conjectures PR [#4474](https://github.com/google-deepmind/formal-conjectures/pull/4474) (merged 2026-07-26). The correspondence is documented term-by-term in a comment block in this file. Both formalizations independently transcribe Alpöge's Theorem 3.1, which is why the polynomials coincide. The verification adapted here predates the FC disproof and was published independently at jyh/jacobian-verify. Here is the discussion on Zulip: https://leanprover.zulipchat.com/#narrow/channel/583339-AI-authored-projects/topic/Counterexample.20to.20the.20Jacobean.20conjecture
This contribution was developed in collaboration with Claude (Anthropic). The Lean code was written by Claude (Anthropic — Claude Code, with Opus and Fable models) working under my direction. I worked with Claude to align and verify the statement against FC. I reviewed every line and every design decision (the DecidableEq substitution, the CharZero retention, the transpose bridge, the ℚ-concretization) and I can defend each without assistance. |
LLM-generated
new-contributor
|
308/0 |
Counterexamples.lean,Counterexamples/JacobianConjecture.lean |
2 |
3 |
['felixpernegger', 'github-actions', 'jyh'] |
nobody |
0-1641 27 minutes ago |
0-9332 2 hours ago |
0-9280 2 hours |
| 41883 |
gasparattila author:gasparattila |
feat(Tactic/Translate): warn when adding a docstring to an existing declaration |
---
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|
t-meta |
62/12 |
Mathlib/Algebra/Free.lean,Mathlib/GroupTheory/GroupAction/MultiplePrimitivity.lean,Mathlib/Tactic/Translate/Core.lean,Mathlib/Topology/Algebra/ContinuousMonoidHom.lean,Mathlib/Topology/Algebra/OpenSubgroup.lean,MathlibTest/Attribute/ToAdditive/Basic.lean |
6 |
4 |
['JovanGerb', 'gasparattila', 'github-actions', 'mathlib-dependent-issues'] |
nobody |
0-1631 27 minutes ago |
0-3893 1 hour ago |
0-18943 5 hours |
| 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 |
26/4 |
Mathlib/Topology/Algebra/IsUniformGroup/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
0-845 14 minutes ago |
0-2391 38 minutes ago |
0-2339 38 minutes |