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| Number |
Author |
Title |
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📝 |
💬 |
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Updated |
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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 |
64-49258 2 months ago |
64-49337 64 days ago |
64-49821 64 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 |
59-17139 1 month ago |
184-34247 184 days ago |
184-34241 184 days |
| 33714 |
idontgetoutmuch author:idontgetoutmuch |
feat(Mathlib/Geometry/Manifold): Riemannian metrics exist II |
Supersedes https://github.com/leanprover-community/mathlib4/pull/33519
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|
t-differential-geometry
new-contributor
|
723/0 |
Mathlib.lean,Mathlib/Algebra/BigOperators/Finprod.lean,Mathlib/Geometry/Manifold/ExistsRiemannianMetric.lean,Mathlib/Geometry/Manifold/PartitionOfUnity.lean |
4 |
200 |
['Rida-Hamadani', 'github-actions', 'grunweg', 'idontgetoutmuch'] |
nobody |
57-17138 1 month ago |
88-56689 88 days ago |
133-63666 133 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 |
55-17140 1 month ago |
141-42995 141 days ago |
143-77275 143 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 |
51-52638 1 month ago |
51-52715 51 days ago |
114-4424 114 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 |
50-48192 1 month ago |
51-4102 51 days ago |
51-4096 51 days |
| 38231 |
NoneMore author:NoneMore |
feat(ModelTheory/Definablity): add syntax-to-definability bridge lemmas |
Add bridge lemmas from syntax to definability and refactor downstream proofs to use them.
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t-logic |
88/56 |
Mathlib/ModelTheory/Definability.lean,Mathlib/ModelTheory/ElementarySubstructures.lean |
2 |
1 |
['github-actions'] |
nobody |
50-17141 1 month ago |
89-1825 89 days ago |
89-1819 89 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 |
15/20 |
Mathlib/Order/CompleteLattice/Basic.lean |
1 |
4 |
['SnirBroshi', 'b-mehta', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
47-11792 1 month ago |
47-11829 47 days ago |
51-12538 51 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 |
45-28820 1 month ago |
51-16103 51 days ago |
51-16097 51 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 |
43-55001 1 month ago |
43-55366 43 days ago |
43-55360 43 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 |
43-17140 1 month ago |
76-27860 76 days ago |
108-76934 108 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 |
42-15299 1 month ago |
42-15299 42 days ago |
55-23045 55 days |
| 40304 |
grunweg author:grunweg |
perf: lower priority for IsSimpleGroup.toNontrivial attributes |
These instances have very weak keys ([Nontrivial, *]), hence are always applied. Let's try lowering their priority.
---
Found using an updated version of this code: https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/.2322780.20scoping.20a.20few.20instances.20with.20weak.20keys/with/504683279
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|
9/1 |
Mathlib/Algebra/Quandle.lean,Mathlib/GroupTheory/Subgroup/Simple.lean,Mathlib/RingTheory/SimpleRing/Basic.lean |
3 |
9 |
['github-actions', 'grunweg', 'leanprover-radar'] |
nobody |
39-77152 1 month ago |
40-26566 40 days ago |
40-29544 40 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 |
39-69525 1 month ago |
39-70358 39 days ago |
39-70724 39 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 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
38-73768 1 month ago |
38-74615 38 days ago |
55-66894 55 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 |
38-48465 1 month ago |
38-49208 38 days ago |
38-49372 38 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 |
38-44891 1 month ago |
38-57978 38 days ago |
38-58427 38 days |
| 40370 |
eric-wieser author:eric-wieser |
feat: connect BinaryTree and Ordnode |
These types are basically isomorphic; this PR adds the trivial defs that link them.
---
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t-data |
26/1 |
Mathlib/Data/Ordmap/Ordnode.lean |
1 |
1 |
['github-actions'] |
nobody |
38-4493 1 month ago |
38-5323 38 days ago |
38-5745 38 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 |
37-79929 1 month ago |
41-31773 41 days ago |
41-31767 41 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 |
37-65093 1 month ago |
37-68391 37 days ago |
37-68385 37 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 |
37-30291 1 month ago |
37-49073 37 days ago |
37-49067 37 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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|
t-ring-theory
t-algebra
label:t-algebra$ |
15/0 |
Mathlib/RingTheory/Spectrum/Prime/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
37-23260 1 month ago |
37-23308 37 days ago |
37-23302 37 days |
| 38190 |
AntoineChambert-Loir author:AntoineChambert-Loir |
refactor(Topology/Sion): use a dense and continuous completion to generalize the statements |
Use the existence of a dense and continuous completion to simplify the final part of the proof of Sion's theorem.
As a matter of fact, only an early lemma needs to be modified and the rest holds in weaker assumptions,
leading to a serious simplification.
Since the PR proving Sion is very recent and unused, we didn't add deprecation lemmas.
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Please ask for help on https://leanprover.zulipchat.com if needed.
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- [ ] depends on: #37939
[](https://gitpod.io/from-referrer/)
|
|
51/125 |
Mathlib/Order/Completion.lean,Mathlib/Topology/Sion.lean |
2 |
11 |
['AntoineChambert-Loir', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
36-77324 1 month ago |
38-47150 38 days ago |
38-47183 38 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 |
36-42480 1 month ago |
36-47557 36 days ago |
36-47644 36 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 |
35-50158 1 month ago |
35-51040 35 days ago |
35-51607 35 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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[](https://gitpod.io/from-referrer/)
|
t-data |
24/0 |
Mathlib/Data/Nat/Choose/Multinomial.lean |
1 |
1 |
['github-actions'] |
nobody |
35-40329 1 month ago |
35-41283 35 days ago |
35-41309 35 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 |
35-26453 1 month ago |
35-27889 35 days ago |
35-28416 35 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 |
35-17140 1 month ago |
87-21890 87 days ago |
87-22502 87 days |
| 40495 |
gw90 author:gw90 |
feat: weighted graphs with killing term |
Adding basic definitions and API for weighted graphs and weighted graphs with killing term.
---
My goal is to develop the basic theory from the beginning of [this textbook](https://www.math.uni-potsdam.de/fileadmin/user_upload/Prof-GraphTh/Keller/KellerLenzWojciechowski_GraphsAndDiscreteDirichletSpaces_wu_version.pdf). I also have some definitions and lemmas regarding Dirichlet forms and Laplacians to PR later, but I tried to pare down this first PR as much as possible. It currently has only 4 main definitions and sufficient API to demonstrate their correctness.
Note that I did not use [SimpleGraph.edgeLabeling](https://leanprover-community.github.io/mathlib4_docs/find/?pattern=SimpleGraph.EdgeLabeling#doc) for the edgeWeight function because it is important that vertices that are not adjacent have an edge weight of zero. That is, the edgeWeight must be defined for all pairs of vertices and respect the underlying adjacency relation on the graph.
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
368/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Weighted/Basic.lean,docs/references.bib |
3 |
2 |
['github-actions'] |
nobody |
33-30068 1 month ago |
35-15703 35 days ago |
35-15697 35 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 |
32-3997 1 month ago |
32-7458 32 days ago |
32-7452 32 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 |
31-73682 1 month ago |
34-48106 34 days ago |
35-4666 35 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 |
31-66021 1 month ago |
31-66894 31 days ago |
32-28621 32 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 |
31-48961 1 month ago |
31-49824 31 days ago |
31-50301 31 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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- Nat.bit1_add_bit1
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics
large-import
|
30/7 |
Mathlib/Combinatorics/SimpleGraph/Finite.lean,Mathlib/Combinatorics/SimpleGraph/IncMatrix.lean,Mathlib/Combinatorics/SimpleGraph/Subgraph.lean |
3 |
1 |
['github-actions'] |
nobody |
31-48533 1 month ago |
31-68693 31 days ago |
31-68687 31 days |
| 40599 |
ChiCubed author:ChiCubed |
feat(LinearAlgebra): rank-nullity theorems for Submodule map/comap |
We show forms of the rank-nullity theorem involving `Submodule.map` and `Submodule.comap`. Together with `LinearMap.ker_comp` this provides a formula for the rank of the kernel of a composite (and, in finite dimensions at least, for the rank of the range).
---
I didn't explicitly write the aforementioned formula for rank ker (f ∘ g) since it is just `LinearMap.ker_comp` followed by `LinearMap.lift_rank_comap`, but perhaps it should be added for discoverability?
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
58/8 |
Mathlib/Algebra/Module/Submodule/Ker.lean,Mathlib/Algebra/Module/Submodule/Map.lean,Mathlib/Algebra/Module/Submodule/Range.lean,Mathlib/LinearAlgebra/Dimension/RankNullity.lean |
4 |
5 |
['ChiCubed', 'github-actions', 'themathqueen', 'wwylele'] |
nobody |
29-58607 29 days ago |
32-44816 32 days ago |
32-46780 32 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'] |
nobody |
29-41472 29 days ago |
29-42651 29 days ago |
29-42662 29 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 |
29-16495 29 days ago |
29-18545 29 days ago |
37-50187 37 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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|
|
168/0 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/ExteriorPower.lean,Mathlib/Analysis/InnerProductSpace/GramMatrix.lean |
3 |
2 |
['github-actions'] |
nobody |
28-60744 28 days ago |
28-61639 28 days ago |
28-62488 28 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 |
28-17133 28 days ago |
49-85169 49 days ago |
112-49142 112 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 |
28-2261 28 days ago |
28-5149 28 days ago |
28-5143 28 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 |
27-86280 27 days ago |
32-71352 32 days ago |
32-79820 32 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 |
27-64544 27 days ago |
28-40161 28 days ago |
28-42333 28 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 |
2 |
['github-actions'] |
nobody |
27-59344 27 days ago |
35-65433 35 days ago |
35-65478 35 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 |
27-11975 27 days ago |
27-14133 27 days ago |
28-43957 28 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 |
2 |
['github-actions'] |
nobody |
25-54892 25 days ago |
25-54892 25 days ago |
27-32964 27 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 |
25-32250 25 days ago |
25-33973 25 days ago |
25-37994 25 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 |
25-9615 25 days ago |
25-27640 25 days ago |
25-27832 25 days |
| 40584 |
CoolRmal author:CoolRmal |
chore(Order): add to_dual tags in Mathlib/Order/ConditionallyCompleteLattice/Indexed |
This PR adds `to_dual` tags in `Mathlib/Order/ConditionallyCompleteLattice/Indexed`. I also add `to_dual` tags to some lemmas in `Mathlib/Order/ConditionallyCompleteLattice/Basic` in order to make `to_dual` works in `Mathlib/Order/ConditionallyCompleteLattice/Indexed`.
Created with the help of codex. |
t-order |
61/188 |
Mathlib/Order/ConditionallyCompleteLattice/Basic.lean,Mathlib/Order/ConditionallyCompleteLattice/Indexed.lean |
2 |
3 |
['SnirBroshi', 'github-actions'] |
nobody |
24-73135 24 days ago |
24-75908 24 days ago |
33-6343 33 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 |
24-72153 24 days ago |
25-54830 25 days ago |
25-55714 25 days |
| 40812 |
karlesmarin author:karlesmarin |
feat(RingTheory/HopfAlgebra): the antipode is the unique convolution … |
…inverse of the identity
Add `HopfAlgebra.eq_antipode_of_convMul_id` and `HopfAlgebra.eq_antipode_of_id_convMul`: any R-linear map that is a one-sided convolution inverse of the identity equals the antipode. The proof is `left_inv_eq_right_inv` in the convolution monoid `WithConv (A →ₗ[R] A)`, using the two antipode axioms. This resolves the "uniqueness of Hopf algebra structure on a bialgebra" TODO and is the companion (uniqueness) to the existing `ofConvInverse` constructor (existence).
**AI disclosure.** This contribution was written with AI assistance (Claude, used as a coding assistant). I have reviewed and understand the proof and can justify the design. The result — uniqueness of the antipode — is classical; the contribution is its Lean formalization.
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|
t-ring-theory
new-contributor
LLM-generated
|
21/3 |
Mathlib/RingTheory/HopfAlgebra/Basic.lean |
1 |
5 |
['github-actions', 'karlesmarin', 'themathqueen'] |
nobody |
24-58381 24 days ago |
27-55739 27 days ago |
27-55733 27 days |
| 40909 |
FrankieNC author:FrankieNC |
feat(Algebra/Notation/Indicator): pointwise evaluation of a function-valued indicator |
Adds `Set.mulIndicator_apply_apply` and its `to_additive` companion `Set.indicator_apply_apply`: for a family of functions `f : α → β → M`, `s.mulIndicator f a b = s.mulIndicator (fun i ↦ f i b) a`, so evaluating a function-valued indicator at `b` commutes with the indicator. It is the pointwise form of `Set.mulIndicator_comp_of_one` (with `g` the evaluation map at `b`). |
t-algebra
brownian
label:t-algebra$ |
7/0 |
Mathlib/Algebra/Notation/Indicator.lean |
1 |
1 |
['github-actions'] |
nobody |
24-31622 24 days ago |
24-34019 24 days ago |
24-34013 24 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 |
24-31048 24 days ago |
24-31882 24 days ago |
24-31876 24 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 |
24-17140 24 days ago |
69-47943 69 days ago |
120-46353 120 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 |
23-48758 23 days ago |
23-53459 23 days ago |
23-57806 23 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 |
23-42684 23 days ago |
23-43538 23 days ago |
23-44194 23 days |
| 38732 |
eric-wieser author:eric-wieser |
fix: revert and fix #38703 |
#38703 removed the canary intended to detect a broken lemma, without fixing the lemma.
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|
t-algebra label:t-algebra$ |
4/11 |
Mathlib/Algebra/Group/Action/Units.lean |
1 |
9 |
['github-actions', 'kbuzzard', 'mathlib-bors'] |
nobody |
23-2623 23 days ago |
23-2623 23 days ago |
23-59831 23 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 |
23-2618 23 days ago |
23-2618 23 days ago |
23-3200 23 days |
| 40961 |
JovanGerb author:JovanGerb |
chore: remove imports added by `shake` |
This PR removes some imports that were added by `shake` in the past.
For some of these it's not clear to me why `shake` added them. In particular, I noticed some occurrences of `public import Mathlib.Tactic.NormNum.Pow`/`Inv`, where `norm_num` is not used in the file at all, which I found suspicious.
For `CompileInductive`, it is expected that `shake` keeps the import, because of `shake: keep-downstream`, so these imports need to be minimzed manually, which this PR does.
For good measure, I also fixed an issue in `Mathlib.Tactic.NormNum.Pow` that some non-meta things were marked as `meta`.
---
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|
21/38 |
Mathlib/Algebra/ContinuedFractions/ConvergentsEquiv.lean,Mathlib/Algebra/Free.lean,Mathlib/Algebra/FreeMonoid/Basic.lean,Mathlib/Algebra/GroupWithZero/WithZero.lean,Mathlib/Algebra/Module/Submodule/Union.lean,Mathlib/Algebra/Opposites.lean,Mathlib/Algebra/Order/GroupWithZero/Basic.lean,Mathlib/Combinatorics/Enumerative/Stirling.lean,Mathlib/Combinatorics/Quiver/Path.lean,Mathlib/Combinatorics/SetFamily/AhlswedeZhang.lean,Mathlib/Data/FunLike/Basic.lean,Mathlib/Data/List/Basic.lean,Mathlib/Data/List/ChainOfFn.lean,Mathlib/Data/List/Defs.lean,Mathlib/Data/List/Induction.lean,Mathlib/Data/List/InsertIdx.lean,Mathlib/Data/Multiset/Defs.lean,Mathlib/Data/Nat/Hyperoperation.lean,Mathlib/Data/Num/Prime.lean,Mathlib/Data/Option/Basic.lean,Mathlib/Data/Ordmap/Ordnode.lean,Mathlib/Data/Seq/Computation.lean,Mathlib/Data/WSeq/Basic.lean,Mathlib/Logic/Equiv/Prod.lean,Mathlib/RingTheory/Ideal/Lattice.lean,Mathlib/SetTheory/Lists.lean,Mathlib/Tactic/NormNum/Pow.lean |
27 |
1 |
['github-actions'] |
nobody |
22-72178 22 days ago |
23-40370 23 days ago |
23-41015 23 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 |
22-25260 22 days ago |
23-27009 23 days ago |
23-27003 23 days |
| 40486 |
adomani author:adomani |
chore(CI): keep the previous Lean declarations diff visible while a new build runs |
Keep the previous Lean declarations diff visible (relabelled *stale*) while a new build runs, instead of resetting the PR-summary comment to *pending* on every push.
Companion: leanprover-community/mathlib-ci#56 · details in the **Reference** / **Explanation** / **How-to** comments below.
|
CI
LLM-generated
|
21/6 |
.github/workflows/PR_summary.yml,.github/workflows/decls-diff.yml |
2 |
16 |
['SnirBroshi', 'adomani', 'bryangingechen', 'github-actions', 'mathlib-bors'] |
nobody |
22-13725 22 days ago |
22-13725 22 days ago |
22-33224 22 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 |
22-5133 22 days ago |
22-7470 22 days ago |
23-59542 23 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 |
21-80052 21 days ago |
21-80052 21 days ago |
21-80072 21 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 |
21-75190 21 days ago |
21-76865 21 days ago |
28-34401 28 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 |
1 |
['github-actions'] |
nobody |
21-58135 21 days ago |
21-58182 21 days ago |
21-58176 21 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 |
21-42182 21 days ago |
21-74949 21 days ago |
21-75039 21 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
|
75/51 |
Mathlib/RingTheory/Bialgebra/Convolution.lean,Mathlib/RingTheory/Coalgebra/Convolution.lean,Mathlib/RingTheory/HopfAlgebra/Convolution.lean,Mathlib/RingTheory/HopfAlgebra/Quotient.lean |
4 |
2 |
['github-actions'] |
nobody |
21-33565 21 days ago |
21-34082 21 days ago |
21-34076 21 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 |
21-27725 21 days ago |
21-34005 21 days ago |
21-34001 21 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 |
20-76687 20 days ago |
20-78929 20 days ago |
20-78923 20 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 |
20-62307 20 days ago |
20-64215 20 days ago |
20-64209 20 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 |
20-62171 20 days ago |
20-64465 20 days ago |
20-65387 20 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 |
14 |
['CoolRmal', 'FrankieNC', 'github-actions'] |
FrankieNC and kex-y assignee:kex-y assignee:FrankieNC |
20-37545 20 days ago |
25-24727 25 days ago |
28-25383 28 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'] |
mariainesdff assignee:mariainesdff |
20-18043 20 days ago |
62-67620 62 days ago |
63-41590 63 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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[](https://gitpod.io/from-referrer/)
|
t-topology |
71/0 |
Mathlib.lean,Mathlib/Topology/Algebra/EpsilonDense.lean,Mathlib/Topology/MetricSpace/HausdorffDistance.lean |
3 |
1 |
['github-actions'] |
scholzhannah assignee:scholzhannah |
20-18034 20 days ago |
22-58005 22 days ago |
22-60587 22 days |
| 41088 |
Brian-Nugent author:Brian-Nugent |
feat(Topology): sheafRestrict is a right adjoint |
---
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|
t-topology |
5/0 |
Mathlib/Topology/Sheaves/Over.lean |
1 |
1 |
['github-actions'] |
scholzhannah assignee:scholzhannah |
20-18030 20 days ago |
20-44272 20 days ago |
20-44266 20 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 |
20-2310 20 days ago |
23-38536 23 days ago |
23-38615 23 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 |
19-80613 19 days ago |
19-81554 19 days ago |
20-77841 20 days |
| 38841 |
SnirBroshi author:SnirBroshi |
feat(Mathlib/Order/SuccPred/Limit): more `WithTop` lemmas about `IsMin`/`CovBy`/`IsSuccLimit` |
---
Continues the work from #38244
We should probably also have such lemmas for `WithTopBot`/`WithBotTop`, but that's for another day
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|
t-order |
122/31 |
Mathlib/Order/Cover.lean,Mathlib/Order/SuccPred/Limit.lean,Mathlib/Order/WithBot.lean |
3 |
4 |
['SnirBroshi', 'github-actions', 'vihdzp'] |
nobody |
19-55841 19 days ago |
44-37138 44 days ago |
75-74550 75 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 |
19-55598 19 days ago |
53-52139 53 days ago |
54-30103 54 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 |
19-55528 19 days ago |
53-48037 53 days ago |
53-48330 53 days |
| 38855 |
SnirBroshi author:SnirBroshi |
feat(Order/ConditionallyCompleteLattice/Indexed): `≤` version of `ciSup_or'` for `ConditionallyCompleteLattice` |
Deprime `ciSup_or'` because there's no `ciSup_or`, and add a `≤` version (and dual) for `ConditionallyCompleteLattice`.
Only `≤` because equality does not hold when `p ≠ q` without `sSup ∅ = ⊥`.
---
`ciSup_or'` can't have a dual because there's no dual to `ConditionallyCompleteLinearOrderBot`.
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|
t-order |
8/1 |
Mathlib/Order/ConditionallyCompleteLattice/Indexed.lean |
1 |
1 |
['github-actions'] |
nobody |
19-55371 19 days ago |
75-12666 75 days ago |
75-12660 75 days |
| 40561 |
iosephusferrum author:iosephusferrum |
feat(ModelTheory): quantifier elimination for first-order theories |
This PR introduces `HasQuantifierElimination` for first-order languages, along with some standard criteria to establish it for any language that satisfies them and prerequisite formalization `mathlib4` required on elementary extension pairs (`IsElementaryExtensionPair`) and < κ-generated substructures (`CardinalLTGenerated`). It also states and proves that the first-order theory DLO (dense linear order without endpoints) has quantifier elimination (`dlo_hasQuantifierElimination`), using the newly formalized quantifier elimination criteria.
Co-authored-by: Yağız Kaan Aydoğdu <y.kaan.aydogdu@gmail.com>
Co-authored-by: Salih Erdem Koçak <saliherdemkd@gmail.com>
Advised-by: Ayhan Günaydın <ayhan.gunaydin@bogazici.edu.tr>
Advised-by: Metin Ersin Arıcan <metin.arican@bogazici.edu.tr>
---
[](https://gitpod.io/from-referrer/)
Please note that we have utilized agentic AI tools (Claude Opus, ChatGPT Codex) during the development of this PR. Most of the proofs of the major theorems are directly "translated" from human-language source material (check the diff in `references.bib`) to Lean proofs using mentioned AI tools. However, all design/formalization decisions are made by us. |
new-contributor
LLM-generated
|
976/7 |
Mathlib.lean,Mathlib/ModelTheory/Complexity.lean,Mathlib/ModelTheory/ElementaryExtensionPair.lean,Mathlib/ModelTheory/FinitelyGenerated.lean,Mathlib/ModelTheory/Order.lean,Mathlib/ModelTheory/PartialEquiv.lean,Mathlib/ModelTheory/QuantifierElimination.lean,Mathlib/ModelTheory/Semantics.lean,Mathlib/ModelTheory/Substructures.lean,Mathlib/Tactic/Linter/TextBased/UnicodeLinter.lean,docs/references.bib |
11 |
6 |
['erdkocak', 'felixpernegger', 'github-actions'] |
nobody |
19-26438 19 days ago |
34-29048 34 days ago |
34-29328 34 days |
| 38716 |
YaelDillies author:YaelDillies |
feat(Algebra/Order): `NNRat.cast_sub` |
From AddCombi
---
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|
t-algebra
large-import
label:t-algebra$ |
29/22 |
Mathlib/Algebra/Order/Field/Rat.lean,Mathlib/Algebra/Order/Ring/Rat.lean,Mathlib/Combinatorics/SetFamily/LYM.lean,Mathlib/Data/Finset/Density.lean,Mathlib/Data/NNRat/Defs.lean,Mathlib/Data/NNRat/Floor.lean,Mathlib/Data/NNRat/Order.lean,Mathlib/Data/Rat/Star.lean,Mathlib/RingTheory/Binomial.lean,Mathlib/Topology/Instances/Rat.lean |
10 |
1 |
['github-actions'] |
mattrobball assignee:mattrobball |
19-18040 19 days ago |
76-81854 76 days ago |
76-86231 76 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 |
19-17181 19 days ago |
23-57429 23 days ago |
23-57423 23 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 |
19-8121 19 days ago |
19-56000 19 days ago |
19-55994 19 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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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'] |
faenuccio assignee:faenuccio |
18-62708 18 days ago |
18-64451 18 days ago |
27-8260 27 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 |
18-23006 18 days ago |
18-25417 18 days ago |
18-27647 18 days |
| 38319 |
Zetetic-Dhruv author:Zetetic-Dhruv |
feat(Combinatorics/SetFamily): Assouad's dual VC bound |
Adds the Finset-level form of Assouad's 1983 dual VC bound: if a family
`𝒜 : Finset (Finset α)` has VC dimension at most `d`, then for any
ground set `X : Finset α` the dual family
`{𝒜.filter (· ∋ x) : x ∈ X}` has VC dimension at most `2 ^ (d + 1) - 1`.
New declarations (in `Finset` namespace):
- `dualFamily 𝒜 X`: for each `x ∈ X`, the subfamily `{A ∈ 𝒜 | x ∈ A}`
- `mem_dualFamily` (`@[simp]`): membership characterisation
- `exists_shatters_of_dualFamily_shatters`: Assouad's bitstring-coding lemma
- `vcDim_dualFamily_le`: the headline VC bound
Proof by Assouad's classical bitstring-coding argument. Sits on top of `Finset.shatterer` / `Finset.vcDim` from
`Mathlib.Combinatorics.SetFamily.Shatter`.
References:
- P. Assouad, Densite et dimension, Ann. Inst. Fourier 33(3) (1983), Thm 2.13
- J. Matousek, Lectures on Discrete Geometry, GTM 212, Springer, 2002, Section 10.3 Lemma 10.3.3
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|
t-combinatorics
new-contributor
|
199/0 |
Mathlib.lean,Mathlib/Combinatorics/SetFamily/DualVC.lean,docs/references.bib |
3 |
42 |
['Shreyas4991', 'YaelDillies', 'Zetetic-Dhruv', 'github-actions'] |
nobody |
18-17112 18 days ago |
68-29758 68 days ago |
84-76801 84 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 |
18-9819 18 days ago |
18-11309 18 days ago |
18-11384 18 days |
| 41101 |
YaelDillies author:YaelDillies |
feat(Data/{ENat,ENNReal,EReal}): missing coercion lemmas |
From MeanFourier
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|
t-data |
32/0 |
Mathlib/Data/ENat/Basic.lean,Mathlib/Data/EReal/Basic.lean,Mathlib/Data/Real/ENatENNReal.lean |
3 |
8 |
['YaelDillies', 'eric-wieser', 'github-actions'] |
nobody |
17-83854 17 days ago |
18-72256 18 days ago |
19-60486 19 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'] |
Vierkantor assignee:Vierkantor |
17-68929 17 days ago |
20-79874 20 days ago |
84-73468 84 days |
| 39583 |
WilliamCoram author:WilliamCoram |
refactor: change definition of restricted power series to align with restricted multivariate power series |
Previously, restricted power series were defined in terms of a `tendsto atTop` this has been changed to be an abbrev of `MvPowerSeries.IsRestricted` with `isRestricted_iff` lemmas to convert to nicer usable definitions.
---
- [x] depends on: #32692
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|
t-ring-theory |
71/138 |
Mathlib/RingTheory/PowerSeries/Restricted.lean |
1 |
4 |
['github-actions', 'mathlib-bors', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
17-68874 17 days ago |
17-70125 17 days ago |
17-72275 17 days |
| 40703 |
peabrainiac author:peabrainiac |
feat(Topology/FiberBundle): continuous sections of fibre bundles |
Define continuous sections of fibre bundles, provide API for sections of trivial bundles, product bundles and pullback bundles, and show that when the bundle carries a continuous fibrewise `G`-action the continuous sections are acted on
by both `G` and `C(B, G)` too.
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Note that `Mathlib.Geometry.Manifold.VectorBundle.ContMDiffSection` already similarly defines $C^n$ sections of vector bundles, which in the case $n=0$ of course specializes to continuous sections. The API here is more general however, because it applies to fibre bundles over any topological space instead of just vector bundles over any manifold.
While `Mathlib.Geometry.Manifold.VectorBundle.ContMDiffSection` shows that $C^n$ sections of any vector bundle form a module, I have not done so here yet. The reason is not just that I wanted to keep the PR short, but also that I do not think vector bundles are the right generality: instead of proving that sections can be added, subtracted, scaled etc. in vector bundles we should introduce typeclasses `ContinuousBundleAdd`, `ContinuousBundleSub` etc. for these operations and prove these lemmas for bundles carrying them. Scalar multiplication is the only operation for which introducing such a typeclass would not make sense because global continuity of a fibrewise action is already equivalent to `ContinuousSMul G (TotalSpace F E)`, so I've already included the lemmas for scalar multiplication here.
[](https://gitpod.io/from-referrer/)
|
t-topology |
220/0 |
Mathlib.lean,Mathlib/Data/Bundle.lean,Mathlib/Topology/FiberBundle/Constructions.lean,Mathlib/Topology/FiberBundle/ContinuousSection.lean |
4 |
9 |
['github-actions', 'peabrainiac', 'scholzhannah'] |
scholzhannah assignee:scholzhannah |
17-42701 17 days ago |
17-43401 17 days ago |
26-63987 26 days |
| 40648 |
felixpernegger author:felixpernegger |
chore(MeasureTheory/MeasurableSpace/Constructions): remove some defeq abuse |
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|
tech debt |
7/2 |
Mathlib/MeasureTheory/MeasurableSpace/Constructions.lean,Mathlib/Order/Disjointed.lean |
2 |
2 |
['github-actions', 'wwylele'] |
JovanGerb assignee:JovanGerb |
17-18041 17 days ago |
31-16757 31 days ago |
31-16769 31 days |
| 38369 |
quantumsnow author:quantumsnow |
feat(AlgebraicTopology): Eilenberg Steenrod axioms |
This introduces the Eilenberg-Steenrod axioms for a homology theory.
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebraic-topology
large-import
|
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'] |
joelriou assignee:joelriou |
17-17140 17 days ago |
27-58943 27 days ago |
43-14349 43 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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|
CI
LLM-generated
|
44/0 |
.github/workflows/label_llm_generated.yml,docs/workflows.md |
2 |
6 |
['SnirBroshi', 'felixpernegger', 'github-actions', 'joneugster'] |
nobody |
17-13030 17 days ago |
27-32586 27 days ago |
27-32925 27 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 |
16-70644 16 days ago |
16-72490 16 days ago |
16-72484 16 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$ |
441/0 |
Mathlib.lean,Mathlib/Algebra/LieRinehartAlgebra/Quotient.lean,Mathlib/Algebra/LieRinehartAlgebra/StrictIdeal.lean,Mathlib/Algebra/LieRinehartAlgebra/Subalgebra.lean |
4 |
1 |
['github-actions'] |
nobody |
16-46707 16 days ago |
16-47234 16 days ago |
16-47884 16 days |
| 36167 |
WenrongZou author:WenrongZou |
feat(RingTheory/FormalGroup): construction of additive inverse of formal group |
construction of additive inverse
---
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- [x] depends on: #35912
- [x] depends on: #38052
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
300/6 |
Mathlib.lean,Mathlib/RingTheory/FormalGroup/AddInv.lean,Mathlib/RingTheory/MvPowerSeries/Substitution.lean,Mathlib/RingTheory/PowerSeries/Substitution.lean,Mathlib/RingTheory/PowerSeries/Trunc.lean |
5 |
5 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
16-42765 16 days ago |
16-68893 16 days ago |
21-6743 21 days |
| 40827 |
FrankieNC author:FrankieNC |
feat(MeasureTheory): coercion of a finite sum of scalar multiples in Lp |
Adds `Lp.coeFn_finsetSum_smul`: for a finite set `s`, scalars `c : ι → 𝕜`, and a family `f : ι → Lp E p μ`, the coercion of `∑ i ∈ s, c i • f i` is almost everywhere equal to `∑ i ∈ s, c i • ⇑(f i)`.
This is the finite-sum, scalar-multiple companion to `Lp.coeFn_smul` and `Lp.coeFn_finsetSum`.
|
t-measure-probability
brownian
|
4/0 |
Mathlib/MeasureTheory/Function/LpSpace/Basic.lean |
1 |
5 |
['CoolRmal', 'EtienneC30', 'FrankieNC', 'github-actions'] |
EtienneC30 assignee:EtienneC30 |
16-41286 16 days ago |
16-42108 16 days ago |
26-78586 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 |
16-19671 16 days ago |
16-20860 16 days ago |
16-20854 16 days |
| 41165 |
gnahz04 author:gnahz04 |
feat(Analysis/InnerProductSpace): the representer theorem |
Adds the representer theorem (Schölkopf version): infinite dimensional kernel space represented by finite number of data points.
Discussed in #mathlib4 ("RKHS representer theorem").
**AI disclosure.** I used Claude Code (Claude Opus 4.8) to draft and iterate the Lean proof. I work in kernel methods / RKHS, understand the statement and proof, and can justify the design choices to reviewers.
🤖 Generated with [Claude Code](https://claude.com/claude-code) |
t-analysis
new-contributor
LLM-generated
|
41/0 |
Mathlib/Analysis/InnerProductSpace/Reproducing.lean |
1 |
5 |
['felixpernegger', 'github-actions', 'gnahz04'] |
nobody |
16-9846 16 days ago |
17-39075 17 days ago |
17-39069 17 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 |
16-9482 16 days ago |
16-10847 16 days ago |
16-10841 16 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 |
15-85264 15 days ago |
16-1003 16 days ago |
16-997 16 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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[](https://gitpod.io/from-referrer/)
|
t-algebraic-geometry
t-category-theory
t-algebra
large-import
label:t-algebra$ |
458/21 |
Mathlib/Algebra/Category/ModuleCat/Differentials/Presheaf.lean |
1 |
1 |
['github-actions'] |
nobody |
15-75676 15 days ago |
15-76240 15 days ago |
15-76234 15 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'] |
chrisflav assignee:chrisflav |
15-70983 15 days ago |
15-71666 15 days ago |
28-31511 28 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'] |
b-mehta assignee:b-mehta |
15-70010 15 days ago |
15-70605 15 days ago |
47-33695 47 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 |
15-61046 15 days ago |
15-61046 15 days ago |
15-61040 15 days |
| 38213 |
WenrongZou author:WenrongZou |
feat(FormalGroup): APIs for formal group homomorphism |
This PR introduces some APIs for homomorphism between formal group laws.
---
- [x] depends on: #38052
- [x] depends on: #37618
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|
t-ring-theory
large-import
|
27/0 |
Mathlib/RingTheory/FormalGroup/Basic.lean,Mathlib/RingTheory/MvPowerSeries/Equiv.lean,Mathlib/RingTheory/MvPowerSeries/Substitution.lean,Mathlib/RingTheory/PowerSeries/Substitution.lean |
4 |
6 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
15-58589 15 days ago |
15-59658 15 days ago |
16-37001 16 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 />
[](https://docs.github.com/en/github/managing-security-vulnerabilities/about-dependabot-security-updates#about-compatibility-scores)
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`.
[//]: # (dependabot-automerge-start)
[//]: # (dependabot-automerge-end)
---
<details>
<summary>Dependabot commands and options</summary>
<br />
You can trigger Dependabot actions by commenting on this PR:
- `@dependabot rebase` will rebase this PR
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</details> |
dependencies
github_actions
CI
|
2/2 |
.github/workflows/build_template.yml,.github/workflows/maintainer_merge_wf_run.yml |
2 |
1 |
['github-actions'] |
nobody |
15-56400 15 days ago |
15-56965 15 days ago |
15-56959 15 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 |
15-51600 15 days ago |
15-52146 15 days ago |
19-54594 19 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 |
15-48686 15 days ago |
15-51728 15 days ago |
83-69372 83 days |
| 41226 |
YaelDillies author:YaelDillies |
feat(Analysis/Convex/TotallyBounded): strengthen to an iff |
... and golf the existing proof using the fancy new `grw`.
From MeanFourier
---
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|
t-analysis |
27/29 |
Mathlib/Analysis/Convex/TotallyBounded.lean,Mathlib/Analysis/LocallyConvex/AbsConvex.lean,Mathlib/Topology/Algebra/IsUniformGroup/Basic.lean |
3 |
1 |
['github-actions'] |
nobody |
15-46712 15 days ago |
15-48192 15 days ago |
15-49124 15 days |
| 36698 |
ghseeli author:ghseeli |
feat(Combinatorics/Enumerative): Latin squares |
This PR defines Latin rectangles and Latin squares and proves an extension theorem using Hall's Marriage Theorem.
## Main results
- `group_to_cayley_table`: every finite group `G` yields a `LatinSquare G G`.
- `latin_rectangle_extends_one_row`: a (non-square) `LatinRectangle` extends to a `LatinRectangle`
with one more row. This is an application of **Hall's Marriage Theorem**, `hallMatchingsOn.nonempty`.
- `latin_rectangle_extends_to_latin_square`: a `LatinRectangle` extends to a `LatinSquare`.
This is included in a new file `Combinatorics/Enumerative/LatinSquare.lean`.
---
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|
new-contributor
t-combinatorics
|
646/0 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/DoubleCounting.lean,Mathlib/Combinatorics/Enumerative/LatinSquare.lean,Mathlib/Combinatorics/Pigeonhole.lean,Mathlib/Data/Finset/Card.lean,Mathlib/Data/Fintype/Card.lean,docs/references.bib |
7 |
81 |
['SnirBroshi', 'cjrl', 'eric-wieser', 'ghseeli', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
15-18634 15 days ago |
15-21228 15 days ago |
32-32758 32 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 |
1 |
['github-actions'] |
PatrickMassot assignee:PatrickMassot |
15-18035 15 days ago |
22-62869 22 days ago |
22-62863 22 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 |
15-14151 15 days ago |
15-14960 15 days ago |
111-41716 111 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 |
15-13901 15 days ago |
15-21005 15 days ago |
15-20999 15 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 |
15-10896 15 days ago |
15-11397 15 days ago |
42-23894 42 days |
| 41123 |
Scarlett-le author:Scarlett-le |
feat(Geometry/Euclidean/Angle): the unoriented angle at the center in terms of the angle at the circumference |
Adds the unoriented counterpart of `Sphere.oangle_center_eq_two_zsmul_oangle` ("the angle at the
center of a circle is twice the angle at the circumference") to
`Mathlib/Geometry/Euclidean/Angle/Sphere.lean`. Since the unoriented angle at the center lies in
`[0, π]` while twice the angle at the circumference ranges over `[0, 2π]`, two lemmas are needed,
splitting at a right angle at the circumference:
- `Sphere.angle_center_eq_two_mul_angle_of_two_mul_angle_le_pi`: when twice the angle at the
circumference is at most `π`, the angle at the center equals twice it;
- `Sphere.angle_center_eq_two_pi_sub_two_mul_angle_of_pi_le_two_mul_angle`: when it is at least `π`,
the angle at the center equals `2 * π` minus twice it.
## Dependencies
- [ ] depends on: #41143 |
t-euclidean-geometry |
30/0 |
Mathlib/Geometry/Euclidean/Angle/Sphere.lean |
1 |
7 |
['Scarlett-le', 'felixpernegger', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
jsm28 assignee:jsm28 |
15-9302 15 days ago |
15-9805 15 days ago |
17-4244 17 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 |
15-7069 15 days ago |
15-9690 15 days ago |
15-9684 15 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 |
['copilot-pull-request-reviewer', 'felixpernegger', 'github-actions'] |
nobody |
14-82394 14 days ago |
15-23720 15 days ago |
15-23714 15 days |
| 41139 |
Deicyde author:Deicyde |
doc: add wikidata attributes |
This PR adds a batch of 22 `@[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 |
41/3 |
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/Connected/Basic.lean,Mathlib/Topology/Defs/Basic.lean |
21 |
29 |
['Deicyde', 'SnirBroshi', 'faenuccio', 'github-actions'] |
nobody |
14-80898 14 days ago |
17-85787 17 days ago |
17-85781 17 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 |
14-63992 14 days ago |
14-65387 14 days ago |
14-65381 14 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'] |
robin-carlier assignee:robin-carlier |
14-57111 14 days ago |
14-57111 14 days ago |
24-5270 24 days |
| 25834 |
Rida-Hamadani author:Rida-Hamadani |
feat(SimpleGraph): girth-diameter inequality |
This is a useful inequality that comes up in proofs related to Moore graphs, cages, SRGs, and so on.
Co-authored-by: Malhar A. Patel <142735852+Mal-Pat@users.noreply.github.com>
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|
t-combinatorics |
19/2 |
Mathlib/Combinatorics/SimpleGraph/Girth.lean |
1 |
6 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
nobody |
14-42539 14 days ago |
14-69304 14 days ago |
14-69326 14 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 |
14-36102 14 days ago |
14-57160 14 days ago |
14-57154 14 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 |
14-34469 14 days ago |
15-59047 15 days ago |
15-59041 15 days |
| 41264 |
alreadydone author:alreadydone |
feat(EllipticCurve/Affine/Point): easy instances |
---
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|
t-algebraic-geometry
t-algebra
easy
label:t-algebra$ |
14/0 |
Mathlib/Algebra/Group/Action/Faithful.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Affine/Point.lean |
2 |
5 |
['alreadydone', 'github-actions', 'kbuzzard', 'leanprover-radar', 'plp127'] |
nobody |
14-33195 14 days ago |
15-16225 15 days ago |
15-16219 15 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'] |
kex-y assignee:kex-y |
14-18036 14 days ago |
38-22924 38 days ago |
38-22918 38 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'] |
EtienneC30 assignee:EtienneC30 |
14-18034 14 days ago |
37-73849 37 days ago |
37-73843 37 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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|
t-measure-probability |
93/38 |
Mathlib/MeasureTheory/Integral/Lebesgue/Markov.lean,Mathlib/MeasureTheory/Integral/MeanInequalities.lean |
2 |
1 |
['github-actions'] |
EtienneC30 assignee:EtienneC30 |
14-18028 14 days ago |
26-41688 26 days ago |
26-41682 26 days |
| 38612 |
SnirBroshi author:SnirBroshi |
feat(Order/SuccPred/CompleteLinearOrder): `sSup s < x` iff theorems when we know if `x` is a successor pre-limit or not |
Adds the following theorems (along with their duals and indexed versions):
```lean
sSup_lt_iff_of_not_isSuccPrelimit : ¬IsSuccPrelimit x → sSup s < x ↔ ∀ a ∈ s, a < x
le_sSup_iff_of_not_isSuccPrelimit : ¬IsSuccPrelimit x → x ≤ sSup s ↔ ∃ a ∈ s, x ≤ a
Order.IsSuccPrelimit.sSup_lt_iff : IsSuccPrelimit x → sSup s < x ↔ ∃ a < x, ∀ b ∈ s, b < a
Order.IsSuccPrelimit.le_sSup_iff : IsSuccPrelimit x → x ≤ sSup s ↔ ∀ a < x, ∃ b ∈ s, a ≤ b
```
They are similar to these existing theorems, but not the same:
```lean
sSup_lt_iff : sSup s < x ↔ ∃ a < x, ∀ b ∈ s, b ≤ a
le_sSup_iff_forall_lt : x ≤ sSup s ↔ ∀ a < x, ∃ b ∈ s, a < b
```
---
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|
t-order |
43/0 |
Mathlib/Order/SuccPred/CompleteLinearOrder.lean |
1 |
6 |
['SnirBroshi', 'github-actions', 'vihdzp'] |
nobody |
14-17098 14 days ago |
44-41248 44 days ago |
79-78039 79 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 |
14-17093 14 days ago |
71-6687 71 days ago |
71-7442 71 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 |
14-11947 14 days ago |
14-13061 14 days ago |
30-33049 30 days |
| 34799 |
vlad902 author:vlad902 |
feat(SimpleGraph): the cycle graph and complete graph are Hamiltonian |
---
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t-combinatorics
large-import
|
22/0 |
Mathlib/Combinatorics/SimpleGraph/Hamiltonian.lean |
1 |
6 |
['SnirBroshi', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
13-78050 13 days ago |
15-35879 15 days ago |
15-36424 15 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'] |
robin-carlier assignee:robin-carlier |
13-70149 13 days ago |
13-70697 13 days ago |
61-33525 61 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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|
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 |
13-69236 13 days ago |
13-69528 13 days ago |
111-36698 111 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 |
9 |
['felixpernegger', 'github-actions', 'jsm28', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'peakpoint'] |
nobody |
13-68999 13 days ago |
13-68999 13 days ago |
111-39082 111 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 |
13-68519 13 days ago |
13-71235 13 days ago |
13-71229 13 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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|
t-combinatorics |
58/0 |
Mathlib/Combinatorics/SimpleGraph/Subgraph.lean |
1 |
1 |
['github-actions'] |
nobody |
13-50744 13 days ago |
13-52108 13 days ago |
13-52102 13 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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|
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 |
13-46063 13 days ago |
14-24874 14 days ago |
14-29272 14 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'] |
eric-wieser assignee:eric-wieser |
13-41617 13 days ago |
13-53321 13 days ago |
51-21872 51 days |
| 41336 |
SnirBroshi author:SnirBroshi |
chore(Combinatorics/SimpleGraph/Girth): golf `egirth_top` using `cycleGraph` |
Golf `egirth_top` (#38529) using `cycleGraph_isContained_iff` (#35255)
Co-authored-by: Vlad Tsyrklevich <vlad@tsyrklevi.ch>
---
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|
t-combinatorics |
6/11 |
Mathlib/Combinatorics/SimpleGraph/Girth.lean |
1 |
1 |
['github-actions'] |
nobody |
13-18671 13 days ago |
13-19191 13 days ago |
13-19185 13 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.
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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'] |
mattrobball assignee:mattrobball |
13-18043 13 days ago |
65-71905 65 days ago |
65-71899 65 days |
| 40425 |
felixpernegger author:felixpernegger |
chore(MeasureTheory/MeasurableSpace/Constructions): remove defEq abuse |
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t-measure-probability
large-import
|
11/7 |
Mathlib/Data/ENat/Basic.lean,Mathlib/MeasureTheory/MeasurableSpace/Constructions.lean |
2 |
3 |
['felixpernegger', 'github-actions'] |
urkud assignee:urkud |
13-18042 13 days ago |
37-41356 37 days ago |
37-42420 37 days |
| 40973 |
certik author:certik |
feat: multiplicative automatic continuity on ℝ |
This PR adds the multiplicative companion of the existing additive automatic-continuity theorem `AddMonoidHom.continuous_of_measurable`. See the git commit descriptions for all the details.
Depends on https://github.com/leanprover-community/mathlib4/pull/40976.
AI usage disclosure: I used Claude Opus 4.8 to create the theorems and proofs in my own Lean project, then extracted them into this PR since I think they are general purpose and would be useful for other people. I iterated on the proofs until they are as simple as I could get them. I am new to Lean, so if something should be reworked, please let me know. Lean is amazing, I was able to use it to prove various theorems and check my derivations. This is my little contribution back to the project. |
t-measure-probability
LLM-generated
new-contributor
|
159/0 |
Mathlib.lean,Mathlib/MeasureTheory/Measure/Haar/AutomaticContinuity.lean |
2 |
10 |
['certik', 'github-actions', 'mathlib-merge-conflicts', 'wwylele'] |
EtienneC30 assignee:EtienneC30 |
13-18041 13 days ago |
19-81968 19 days ago |
22-19259 22 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'] |
EtienneC30 assignee:EtienneC30 |
13-18038 13 days ago |
16-63672 16 days ago |
16-63666 16 days |
| 41314 |
Scarlett-le author:Scarlett-le |
feat(Geometry/Euclidean/Angle/Sphere): central angle equals π iff diameter, 0 iff equal points |
Add two lemmas characterising the two degenerate values of the central angle
`∠ p₁ s.center p₂` on a sphere of nonzero radius:
* `EuclideanGeometry.Sphere.angle_center_eq_pi_iff_isDiameter`: the central angle
is `π` iff `p₁` and `p₂` are the endpoints of a diameter (`s.IsDiameter p₁ p₂`).
* `EuclideanGeometry.Sphere.angle_center_eq_zero_iff_eq`: the central angle is `0`
iff `p₁ = p₂`. |
t-euclidean-geometry |
20/0 |
Mathlib/Geometry/Euclidean/Angle/Sphere.lean |
1 |
1 |
['github-actions', 'wwylele'] |
jsm28 assignee:jsm28 |
13-18038 13 days ago |
13-76107 13 days ago |
13-76101 13 days |
| 38488 |
b-mehta author:b-mehta |
feat(Data/Finset/Card): iterating a function's image on a finite set stabilises |
...and does so in a bounded number of steps (which is why this is Finset-specific).
In a later PR, I'll add this for endofunctions on a fintype, as well as add a Set.Finite version.
---
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|
t-data |
35/0 |
Mathlib/Data/Finset/Card.lean,Mathlib/Data/Finset/Image.lean |
2 |
17 |
['SnirBroshi', 'b-mehta', 'github-actions'] |
nobody |
13-17142 13 days ago |
52-45712 52 days ago |
83-21099 83 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 |
13-15358 13 days ago |
13-17613 13 days ago |
13-17607 13 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 |
12-78257 12 days ago |
12-78257 12 days ago |
13-2586 13 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 |
12-73326 12 days ago |
12-73915 12 days ago |
12-73909 12 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 |
12-72471 12 days ago |
12-73278 12 days ago |
18-70961 18 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 |
12-61345 12 days ago |
23-59242 23 days ago |
23-60043 23 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 |
12-48840 12 days ago |
12-49763 12 days ago |
19-56280 19 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 |
12-23836 12 days ago |
12-48427 12 days ago |
12-48421 12 days |
| 41373 |
SnirBroshi author:SnirBroshi |
feat(SimpleGraph): some `CliqueFree`/`Free` lemmas |
---
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|
t-combinatorics |
29/0 |
Mathlib/Combinatorics/SimpleGraph/Clique.lean,Mathlib/Combinatorics/SimpleGraph/Copy.lean |
2 |
1 |
['github-actions'] |
nobody |
12-23599 12 days ago |
12-24177 12 days ago |
12-24171 12 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 |
1 |
['github-actions'] |
nobody |
12-23325 12 days ago |
12-23875 12 days ago |
12-23869 12 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'] |
b-mehta assignee:b-mehta |
12-22258 12 days ago |
12-22771 12 days ago |
50-67955 50 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 |
12-21346 12 days ago |
12-21393 12 days ago |
12-21388 12 days |
| 31187 |
loefflerd author:loefflerd |
feat(NumberTheory/LSeries): Define the L-series of a modular form |
Define the L-function of a modular form (showing it is meromorphic on C and agrees with the naive Dirichlet series for `re s` large).
---
- [x] depends on: #30089
- [x] depends on: #41329 |
t-number-theory |
246/0 |
Mathlib.lean,Mathlib/NumberTheory/ModularForms/ArithmeticSubgroups.lean,Mathlib/NumberTheory/ModularForms/LFunction.lean,Mathlib/NumberTheory/ModularForms/QExpansion.lean |
4 |
12 |
['MichaelStollBayreuth', 'github-actions', 'loefflerd', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
12-18043 12 days ago |
12-48643 12 days ago |
12-50476 12 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 |
88/24 |
Mathlib/Analysis/Convex/Integral.lean,Mathlib/MeasureTheory/Integral/Average.lean |
2 |
5 |
['EtienneC30', 'YaelDillies', 'github-actions'] |
kex-y assignee:kex-y |
12-18041 12 days ago |
36-80788 36 days ago |
37-11384 37 days |
| 41267 |
kim-em author:kim-em |
refactor(Archive/Imo/Imo2000Q2): replace SOS certificate with classical AM-GM argument |
This PR rewrites the proof of IMO 2000 Q2 from https://github.com/leanprover-community/mathlib4/pull/40286. It drops the second (Ravi) substitution and the SOS-solver-found certificate in favour of the classical argument: at most one of the three factors is nonpositive, and in the all-positive case each pairwise product is bounded by a square via AM-GM. One helper lemma instead of three, and every inequality step is a visible `sq_nonneg`. Supersedes #41263.
🤖 Prepared with Claude Code |
IMO
LLM-generated
|
45/60 |
Archive/Imo/Imo2000Q2.lean |
1 |
2 |
['github-actions', 'kim-em'] |
jsm28 assignee:jsm28 |
12-18038 12 days ago |
12-84180 12 days ago |
12-84174 12 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 |
12-15318 12 days ago |
12-15363 12 days ago |
12-15358 12 days |
| 40205 |
BryceT233 author:BryceT233 |
feat(RingTheory/MvPowerSeries): multivariable power series ring is a noetherian ring when the index is finite |
This is a split of #36507 which includes `isEmptyEquiv`, `optionEquivLeft` and `finSuccEquiv`. We use `finSuccEquiv` to show multivariable power series ring over a noetherian ring is a noetherian ring when the index is finite.
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|
t-ring-theory
large-import
|
209/2 |
Mathlib/RingTheory/MvPowerSeries/Equiv.lean |
1 |
1 |
['github-actions'] |
mattrobball assignee:mattrobball |
12-13235 12 days ago |
12-13788 12 days ago |
43-14580 43 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 |
12-7092 12 days ago |
12-7647 12 days ago |
30-21814 30 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 |
1 |
['github-actions'] |
nobody |
12-6868 12 days ago |
12-7409 12 days ago |
12-7403 12 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'] |
nobody |
11-79903 11 days ago |
19-36504 19 days ago |
19-36710 19 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 |
11-79764 11 days ago |
12-12937 12 days ago |
12-12932 12 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 |
11-61648 11 days ago |
11-62350 11 days ago |
23-81584 23 days |
| 41383 |
joelriou author:joelriou |
feat(Algebra/Category/ModuleCat): the category of sheaves of modules is Grothendieck abelian |
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t-category-theory |
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'] |
nobody |
11-51636 11 days ago |
11-54190 11 days ago |
11-54855 11 days |
| 40782 |
tb65536 author:tb65536 |
feat(Combinatorics/SimpleGraph/Coloring/EdgeLabeling): add predicates for monochromatic subsets |
This PR adds predicates for monochromatic subsets, in preparation for Ramsey theory.
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t-combinatorics |
143/0 |
Mathlib/Combinatorics/SimpleGraph/Coloring/EdgeLabeling.lean |
1 |
26 |
['SnirBroshi', 'YaelDillies', 'b-mehta', 'github-actions', 'tb65536'] |
nobody |
11-46307 11 days ago |
12-30837 12 days ago |
24-76071 24 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 |
11-39901 11 days ago |
11-42426 11 days ago |
11-42420 11 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'] |
joneugster assignee:joneugster |
11-18041 11 days ago |
33-54693 33 days ago |
97-15929 97 days |
| 39514 |
SnirBroshi author:SnirBroshi |
chore(RingTheory/Polynomial/Basic): golf `degreeLTEquiv` |
Also extracts the `monomial i a ∈ degreeLT R n` proof to a lemma.
---
The semicolons might be a bit excessive, let me know if so.
Also the `right_inv` proof is slower than the previous version, so maybe it should be reverted, but the rest is fine.
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t-ring-theory |
11/32 |
Mathlib/RingTheory/Polynomial/Basic.lean |
1 |
2 |
['chrisflav', 'github-actions'] |
joneugster assignee:joneugster |
11-18040 11 days ago |
36-42384 36 days ago |
60-1572 60 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 |
11-18035 11 days ago |
16-61506 16 days ago |
16-61644 16 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 |
11-18034 11 days ago |
15-83554 15 days ago |
15-83548 15 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'] |
nobody |
11-17139 11 days ago |
76-35456 76 days ago |
76-35450 76 days |
| 41300 |
alreadydone author:alreadydone |
feat(EllipticCurve): the universal elliptic curve |
+ Define the universal Weierstrass curve (`Universal.curve`) over the polynomial ring `ℤ[A₁,A₂,A₃,A₄,A₆]`, and the universal pointed elliptic curve (`Universal.pointedCurve`) over the field of fractions (`Universal.Field`) of the universal ring `ℤ[A₁,A₂,A₃,A₄,A₆,X,Y]/⟨P⟩ = Universal.Poly/⟨P⟩` (`Universal.Ring`, where `P` is the Weierstrass polynomial) with distinguished point `(X,Y)`.
+ Given a Weierstrass curve `W` over a commutative ring `R`, we define the specialization homomorphism `W.specialize : ℤ[A₁,A₂,A₃,A₄,A₆] →+* R`. If `(x,y)` is a point on the affine plane, we define `W.polyEval x y : Universal.Poly →+* R`, which factors through `W.ringEval x y : Universal.Ring →+* R` if `(x,y)` is on `W`.
migrated from #13847
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t-algebraic-geometry
t-algebra
label:t-algebra$ |
213/0 |
Mathlib.lean,Mathlib/Algebra/Group/Action/Faithful.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Affine/Point.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Universal.lean |
4 |
9 |
['Multramate', 'alreadydone', 'github-actions'] |
nobody |
10-57459 10 days ago |
14-38398 14 days ago |
14-47987 14 days |
| 38957 |
wwylele author:wwylele |
chore(GroupTheory/DivisibleHull): remove `backward.privateInPublic` |
---
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tech debt
t-group-theory
|
5/12 |
Mathlib/GroupTheory/DivisibleHull.lean |
1 |
13 |
['Komyyy', 'github-actions', 'grunweg', 'jcommelin', 'wwylele'] |
nobody |
10-56482 10 days ago |
52-15982 52 days ago |
66-7926 66 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 |
10-48873 10 days ago |
10-52136 10 days ago |
31-49316 31 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 |
10-35892 10 days ago |
10-39014 10 days ago |
24-18972 24 days |
| 41338 |
kim-em author:kim-em |
refactor(Combinatorics/SimpleGraph/CycleGraph): golf cycleGraph_isContained_iff via getVert |
Reopened from my fork, replacing #41268 (previously a branch on the main repo).
This PR rewrites the reverse direction of `cycleGraph_isContained_iff` from https://github.com/leanprover-community/mathlib4/pull/35255. Building the copy on `Walk.getVert` instead of `support` indexing makes the vertex map total, dispatches both adjacency cases through a single cyclic-successor helper (no `wlog`), handles the wraparound with `adj_penultimate`, and gets injectivity directly from `IsCycle.getVert_injOn'`.
🤖 Prepared with Claude Code |
t-combinatorics
LLM-generated
|
14/20 |
Mathlib/Combinatorics/SimpleGraph/CycleGraph.lean |
1 |
11 |
['SnirBroshi', 'github-actions', 'kim-em', 'vlad902'] |
nobody |
10-35360 10 days ago |
12-83464 12 days ago |
12-83885 12 days |
| 39722 |
kg583 author:kg583 |
feat(Combinatorics): link `Nat.Partition` to `YoungDiagram` |
---
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AI disclosure: Claude was used to source some proof sketches.
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
large-import
|
111/4 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/Partition/Basic.lean,Mathlib/Combinatorics/Enumerative/Partition/YoungDiagram.lean,Mathlib/Combinatorics/Young/YoungDiagram.lean |
4 |
48 |
['NoahW314', 'YaelDillies', 'github-actions', 'kg583', 'wwylele'] |
YaelDillies assignee:YaelDillies |
10-33723 10 days ago |
10-33723 10 days ago |
45-28634 45 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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[](https://gitpod.io/from-referrer/)
|
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 |
26 |
['SnirBroshi', 'Vierkantor', 'github-actions', 'leanprover-radar', 'mathlib-bors', 'mathlib-merge-conflicts', 'themathqueen', 'urkud', 'vihdzp'] |
TwoFX assignee:TwoFX |
10-32616 10 days ago |
10-35755 10 days ago |
67-72465 67 days |
| 37683 |
SabrinaJewson author:SabrinaJewson |
feat(Order/OrdContinuous): every map between complete lattices that preserves sSup is a left adjoint of some Galois connection |
It is already proven that the left side of a Galois connection is left-continuous; this provides the converse.
---
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- [ ] depends on: #37682
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-order
|
14/0 |
Mathlib/Order/OrdContinuous.lean |
1 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
10-32104 10 days ago |
10-33771 10 days ago |
10-35212 10 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'] |
nobody |
10-28104 10 days ago |
10-28831 10 days ago |
10-28863 10 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 |
10-18033 10 days ago |
33-3898 33 days ago |
33-11748 33 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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[](https://gitpod.io/from-referrer/)
|
t-meta |
68/3 |
Mathlib/Geometry/Euclidean/Incenter.lean,Mathlib/NumberTheory/ClassNumber/AdmissibleCardPowDegree.lean,Mathlib/Tactic/Convert.lean,MathlibTest/Tactic/Convert/Instances.lean |
4 |
6 |
['JovanGerb', 'Vierkantor', 'github-actions', 'leanprover-radar'] |
thorimur assignee:thorimur |
10-18032 10 days ago |
27-64960 27 days ago |
27-70394 27 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 |
10-18031 10 days ago |
30-28770 30 days ago |
30-28764 30 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 |
9-79447 9 days ago |
11-20540 11 days ago |
11-20534 11 days |
| 41198 |
Raph-DG author:Raph-DG |
feat(AlgebraicGeometry): degree of a zero-cycle |
In this PR, we define the degree of a zero-cycle as in https://stacks.math.columbia.edu/tag/0AZ0
---
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|
t-algebraic-geometry
large-import
|
107/2 |
Mathlib/AlgebraicGeometry/AlgebraicCycle/Basic.lean,Mathlib/AlgebraicGeometry/ResidueField.lean,Mathlib/Topology/LocallyFinsupp.lean |
3 |
13 |
['Raph-DG', 'github-actions', 'joelriou'] |
nobody |
9-77488 9 days ago |
9-78091 9 days ago |
12-62366 12 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 |
9-69573 9 days ago |
16-33343 16 days ago |
16-33338 16 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 |
9-69070 9 days ago |
10-75023 10 days ago |
10-75478 10 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 |
9-62455 9 days ago |
19-36620 19 days ago |
40-35260 40 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 |
9-47251 9 days ago |
9-47956 9 days ago |
9-47950 9 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 |
9-42733 9 days ago |
9-44940 9 days ago |
9-44934 9 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 |
9-41967 9 days ago |
9-45757 9 days ago |
9-45751 9 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 |
9-39905 9 days ago |
9-42709 9 days ago |
9-42703 9 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 |
9-32831 9 days ago |
9-35027 9 days ago |
43-56932 43 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 |
9-32809 9 days ago |
9-34699 9 days ago |
9-34693 9 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$ |
31/87 |
Mathlib/Algebra/AffineMonoid/Irreducible.lean,Mathlib/Algebra/Group/Units/Basic.lean,Mathlib/AlgebraicTopology/SimplicialSet/Horn.lean,Mathlib/Combinatorics/Enumerative/DyckWord.lean,Mathlib/Data/ENat/Basic.lean,Mathlib/SetTheory/Ordinal/Arithmetic.lean,Mathlib/SetTheory/Ordinal/Exponential.lean,scripts/nolints_prime_decls.txt |
8 |
1 |
['github-actions'] |
nobody |
9-31038 9 days ago |
9-35489 9 days ago |
9-40832 9 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'] |
joneugster assignee:joneugster |
9-18039 9 days ago |
54-61368 54 days ago |
70-31131 70 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'] |
joneugster assignee:joneugster |
9-18038 9 days ago |
13-63068 13 days ago |
60-65337 60 days |
| 39605 |
Qinghev author:Qinghev |
Add docstrings for reversed range telescoping lemmas |
This PR adds docstrings for two existing `Finset` telescoping lemmas and their additive versions generated by `to_additive`:
* `Finset.prod_range_div'` / `Finset.sum_range_sub'`
* `Finset.eq_prod_range_div` / `Finset.eq_sum_range_sub`
It is documentation-only: no declarations or imports are changed.
CI has passed.
AI assistance: Codex was used to help inspect the public PR/CI status and update this PR description. |
t-algebra
new-contributor
label:t-algebra$ |
8/2 |
Mathlib/Algebra/BigOperators/Group/Finset/Basic.lean |
1 |
2 |
['github-actions'] |
joneugster assignee:joneugster |
9-18037 9 days ago |
57-65094 57 days ago |
57-65088 57 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 |
9-18036 9 days ago |
35-58737 35 days ago |
40-42773 40 days |
| 40176 |
YaelDillies author:YaelDillies |
feat(Analysis): `StdSimplex` is a `MetricSpace` |
Endow the standard simplex over a metric space with the L^1 metric.
---
- [x] depends on: #40212
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t-analysis
large-import
|
54/10 |
Mathlib/Analysis/Convex/MetricSpace.lean,Mathlib/Analysis/Normed/Lp/Finsupp.lean,Mathlib/Data/Finsupp/Basic.lean,Mathlib/Geometry/Convex/ConvexSpace/Defs.lean,Mathlib/Topology/MetricSpace/Pseudo/Constructions.lean |
5 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
j-loreaux assignee:j-loreaux |
9-18035 9 days ago |
19-56809 19 days ago |
19-56831 19 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 |
9-18034 9 days ago |
24-77072 24 days ago |
24-77066 24 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 |
9-18031 9 days ago |
40-53138 40 days ago |
40-53132 40 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 |
9-18027 9 days ago |
29-29837 29 days ago |
29-29832 29 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 |
9-17388 9 days ago |
9-41558 9 days ago |
9-41552 9 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 |
9-16201 9 days ago |
9-35930 9 days ago |
9-35924 9 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 |
9-15004 9 days ago |
9-23434 9 days ago |
9-23428 9 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 |
9-4714 9 days ago |
15-50146 15 days ago |
16-19445 16 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 |
9-1215 9 days ago |
9-2529 9 days ago |
9-4644 9 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 |
8-85485 8 days ago |
8-85485 8 days ago |
23-29408 23 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 |
8-77261 8 days ago |
8-80220 8 days ago |
8-83000 8 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 |
8-74527 8 days ago |
8-74530 8 days ago |
8-74524 8 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 |
79/4 |
Mathlib/Analysis/Distribution/ContDiffMapSupportedIn.lean |
1 |
1 |
['github-actions'] |
nobody |
8-70831 8 days ago |
8-71690 8 days ago |
13-59415 13 days |
| 41484 |
FernandoChu author:FernandoChu |
feat(CategoryTheory): kan extensions from isos |
This PR constructs lifts out of isomorphisms of 1-cells, and shows that being (abs) Kan is preserved by this. This is done for all four notions of left/right lifts/extensions.
This is needed for the oo-cosmos project.
----
**AI disclosure**. Claude was used in defining the API for the left extension case. After manually fixing its bad proofs/definitions/docstrings, Claude was later asked to replicate this for the other three cases, which I again finetuned. |
t-category-theory
LLM-generated
large-import
|
330/3 |
Mathlib/CategoryTheory/Bicategory/Extension.lean,Mathlib/CategoryTheory/Bicategory/Kan/IsKan.lean |
2 |
3 |
['FernandoChu', 'github-actions', 'grunweg'] |
nobody |
8-70281 8 days ago |
8-75483 8 days ago |
8-75477 8 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 |
8-69163 8 days ago |
8-69716 8 days ago |
55-69856 55 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 |
8-65502 8 days ago |
8-68570 8 days ago |
35-4261 35 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 |
8-62542 8 days ago |
9-29779 9 days ago |
9-58554 9 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 |
8-59710 8 days ago |
13-78055 13 days ago |
13-78091 13 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 |
8-55259 8 days ago |
11-52484 11 days ago |
11-70954 11 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'] |
nobody |
8-54669 8 days ago |
8-56926 8 days ago |
8-56920 8 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 |
364/0 |
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 |
16 |
['FordUniver', 'Komyyy', 'github-actions', 'j-loreaux', 'mathlib-dependent-issues', 'mathlib-splicebot'] |
j-loreaux assignee:j-loreaux |
8-52810 8 days ago |
8-63690 8 days ago |
30-58291 30 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 |
124/1 |
Mathlib/Analysis/Complex/CanonicalDecomposition.lean |
1 |
1 |
['github-actions'] |
nobody |
8-51290 8 days ago |
8-51290 8 days ago |
8-51284 8 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 |
8-49962 8 days ago |
8-49962 8 days ago |
25-5833 25 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 |
8-47904 8 days ago |
8-51361 8 days ago |
8-51355 8 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 |
8-35576 8 days ago |
8-37207 8 days ago |
8-37201 8 days |
| 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 |
7 |
['felixpernegger', 'github-actions', 'grunweg', 'leanprover-radar'] |
nobody |
8-28769 8 days ago |
11-41712 11 days ago |
11-41706 11 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 |
8-28648 8 days ago |
8-30235 8 days ago |
8-30330 8 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 |
8-27369 8 days ago |
8-28454 8 days ago |
91-74216 91 days |
| 34031 |
lua-vr author:lua-vr |
feat(Dynamics/BirkhoffSum): add the maximal ergodic theorem |
---
This will be used by #40178
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|
t-dynamics |
365/0 |
Mathlib.lean,Mathlib/Data/EReal/Basic.lean,Mathlib/Dynamics/BirkhoffSum/Integrable.lean,Mathlib/Dynamics/BirkhoffSum/Maximal.lean,Mathlib/Dynamics/BirkhoffSum/Measurable.lean,Mathlib/Order/PartialSups.lean |
6 |
7 |
['github-actions', 'lua-vr', 'mathlib-bors', 'mathlib-merge-conflicts'] |
mcdoll assignee:mcdoll |
8-18043 8 days ago |
13-68714 13 days ago |
56-53479 56 days |
| 39474 |
emlis42 author:emlis42 |
feat(Topology/Separation/Hausdorff): add `Filter.limUnder_congr` |
This PR adds `Filter.limUnder_congr` and some lemmas about `limUnder`.
`Filter.limUnder_congr` allows rewriting `limUnder` expressions using equivalences of convergence behavior, without proving the filters actually converge, allowing convergence proofs to be carried out on more convenient expressions latter. |
t-topology
new-contributor
large-import
|
24/1 |
Mathlib/Order/Filter/AtTopBot/Archimedean.lean,Mathlib/Topology/Separation/Hausdorff.lean |
2 |
2 |
['github-actions'] |
j-loreaux assignee:j-loreaux |
8-18040 8 days ago |
61-36980 61 days ago |
61-36974 61 days |
| 41132 |
owenpkent author:owenpkent |
feat(Analysis/SpecialFunctions/Gamma/Digamma): reflection, iterated recurrence, and duplication for digamma |
This PR adds three standard identities for `Complex.digamma` to `Mathlib/Analysis/SpecialFunctions/Gamma/Digamma.lean`:
- the iterated recurrence `digamma (s + n) = digamma s + ∑ k ∈ Finset.range n, (s + k)⁻¹` (`digamma_apply_add_nat`),
- the reflection formula `digamma (1 - s) - digamma s = π * cot (π * s)` (`digamma_reflection`),
- the duplication (doubling) formula `digamma (2 * s) = (1 / 2) * (digamma s + digamma (s + 1 / 2)) + log 2` (`digamma_two_mul`).
These are the natural digamma companions to results already in Mathlib:
- the single-step recurrence `Complex.digamma_apply_add_one` (the iterated form is its finite-induction closure);
- the Gamma reflection formula `Complex.Gamma_mul_Gamma_one_sub` (the digamma reflection is its logarithmic derivative);
- the Legendre duplication formula `Complex.Gamma_mul_Gamma_add_half` (the digamma duplication is its logarithmic derivative).
Each proof is short and uses only existing Mathlib API (the `Gamma_mul_Gamma_*` product formulas together with the `logDeriv` calculus lemmas). No new imports are required: the dependencies are already transitively available in `Digamma.lean`. Each new theorem has a docstring and is listed under the module's `## Main statements`.
The three theorems build green against current master, and `#print axioms` for each is exactly `[propext, Classical.choice, Quot.sound]` (no `sorry`, no `native_decide`).
---
**AI use disclosure** (per Mathlib's contribution guidelines): these identities were formalized in a personal research project with the help of an AI coding agent (Claude Code). The agent assisted in developing the original proofs and in porting them onto current Mathlib master (transplanting the verified proofs, adapting the imports to the new module system, and confirming the build is green with `#print axioms` clean). The underlying results are standard and each proof is short, using only existing Mathlib API. I have reviewed and understand the proofs, take responsibility for the content, and will respond to review in my own words.
|
t-analysis
new-contributor
LLM-generated
|
89/0 |
Mathlib/Analysis/SpecialFunctions/Gamma/Digamma.lean |
1 |
5 |
['SnirBroshi', 'github-actions', 'owenpkent'] |
j-loreaux assignee:j-loreaux |
8-18033 8 days ago |
18-31471 18 days ago |
18-31465 18 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 |
1 |
['github-actions'] |
ADedecker assignee:ADedecker |
8-18032 8 days ago |
8-50448 8 days ago |
8-50442 8 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 |
8-18031 8 days ago |
13-78002 13 days ago |
13-78502 13 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 |
8-18030 8 days ago |
13-65047 13 days ago |
13-65041 13 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 |
8-17141 8 days ago |
72-24326 72 days ago |
72-24320 72 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 |
8-7465 8 days ago |
8-7465 8 days ago |
8-7459 8 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 |
66 |
['JX-Mo', 'Whysoserioushah', 'github-actions', 'tb65536'] |
nobody |
8-4463 8 days ago |
8-4999 8 days ago |
20-63565 20 days |
| 39982 |
riccardobrasca author:riccardobrasca |
feat: add Ideal.IsPrincipal.of_isPrincipal_pow_of_coprime |
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|
t-ring-theory |
26/0 |
Mathlib/RingTheory/ClassGroup/Basic.lean |
1 |
7 |
['github-actions', 'mariainesdff', 'mathlib-merge-conflicts', 'riccardobrasca'] |
mariainesdff assignee:mariainesdff |
7-80784 7 days ago |
16-68857 16 days ago |
44-3712 44 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 |
7-79810 7 days ago |
7-81842 7 days ago |
19-40333 19 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 |
7-79067 7 days ago |
7-79623 7 days ago |
8-71619 8 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 |
7-76102 7 days ago |
7-77501 7 days ago |
17-26503 17 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 |
7-75145 7 days ago |
10-75039 10 days ago |
10-76444 10 days |
| 40405 |
felixpernegger author:felixpernegger |
chore(MeasureTheory/Group): remove an erw |
Extracted from #40348
---
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|
t-measure-probability |
3/1 |
Mathlib/MeasureTheory/Group/GeometryOfNumbers.lean |
1 |
1 |
['Multramate', 'github-actions'] |
kex-y assignee:kex-y |
7-74239 7 days ago |
37-67860 37 days ago |
37-67854 37 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'] |
nobody |
7-74161 7 days ago |
24-50329 24 days ago |
24-50323 24 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 |
7-73726 7 days ago |
23-53899 23 days ago |
23-53894 23 days |
| 40897 |
vihdzp author:vihdzp |
feat: `HasSmallInductiveDimensionLT` is monotonic |
We prove that `HasSmallInductiveDimensionLT m` implies `HasSmallInductiveDimensionLT n` whenever `m ≤ n`.
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|
t-topology |
22/1 |
Mathlib/Topology/SmallInductiveDimension.lean |
1 |
1 |
['github-actions'] |
PatrickMassot and j-loreaux assignee:j-loreaux assignee:PatrickMassot |
7-71217 7 days ago |
24-57284 24 days ago |
24-57278 24 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 |
7-71169 7 days ago |
72-76383 72 days ago |
112-71727 112 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 |
1 |
['github-actions'] |
nobody |
7-70458 7 days ago |
10-18121 10 days ago |
10-18201 10 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 |
7-68976 7 days ago |
7-71230 7 days ago |
8-8559 8 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 |
7-68344 7 days ago |
7-68919 7 days ago |
10-14399 10 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 |
7-67296 7 days ago |
39-52533 39 days ago |
39-52769 39 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 |
7-63329 7 days ago |
8-50000 8 days ago |
8-49994 8 days |
| 41539 |
rmhi author:rmhi |
chore(RepresentationTheory/Homological/ContCohomology): refactor functoriality |
Currently, functoriality of continuous cohomology is given by `ContCohomology.map`, which takes
a continuous group homomorphism \phi and an intertwining map f: res \phi X \to Y and returns a map from the
continuous cohomology of X to the continuous cohomology of Y.
The problem with this is that `ContCohomology.map` does not have a natural type such as Functor or NatTrans.
In this PR, we split `ContCohomology.map` as a composition of `(continuousCohomologyFunctor _ _ _).map` and a restriction map in continuous cohomology, which is defined as a natural transformation `resNatTrans`.
co-authored-by: Edison Xie @Whysoserioushah
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t-algebra label:t-algebra$ |
392/56 |
Mathlib/RepresentationTheory/Continuous/Basic.lean,Mathlib/RepresentationTheory/Continuous/TopRep.lean,Mathlib/RepresentationTheory/Homological/ContCohomology/Functoriality.lean |
3 |
1 |
['github-actions'] |
nobody |
7-52379 7 days ago |
7-53946 7 days ago |
7-54029 7 days |
| 41092 |
wwylele author:wwylele |
feat(Analysis): characterizing and congr lemma for toMeromorphicNFAt |
The first two new lemma `toMeromorphicNFAt_of_meromorphicOrderAt_ne_zero` and `MeromorphicAt.meromorphicOrderAt_nonneg_iff_analyticAt_toMeromorphicNFAt` characterize the behavior of `toMeromorphicNFAt` for meromorphic function, so one no longer needs to unfold the definition of it.
`toMeromorphicNFAt_congr` and `MeromorphicAt.toMeromorphicNFAt_eventuallyEq_iff` shows that two functions have equal `toMeromorphicNFAt` in nhds if they equal in the punctured nhds.
Co-authored-by: Monica Omar <23701951+themathqueen@users.noreply.github.com>
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|
t-analysis |
37/0 |
Mathlib/Analysis/Meromorphic/NormalForm.lean |
1 |
30 |
['copilot-pull-request-reviewer', 'github-actions', 'mathlib-dependent-issues', 'themathqueen', 'wwylele'] |
nobody |
7-49454 7 days ago |
7-57950 7 days ago |
15-77525 15 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 |
7-46959 7 days ago |
7-50034 7 days ago |
7-50028 7 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 |
7-45644 7 days ago |
18-24362 18 days ago |
18-24356 18 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 |
7-44293 7 days ago |
7-46736 7 days ago |
7-54507 7 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 |
7-42153 7 days ago |
9-82467 9 days ago |
9-82461 9 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 |
7-41089 7 days ago |
7-41822 7 days ago |
7-41816 7 days |
| 41180 |
xroblot author:xroblot |
feat(NumberTheory/NumberField): congruence for the norm of an unramified prime |
Add `torsionOrder_dvd_absNorm_sub_one'`: if a prime `P` of `𝓞 K` is unramified over `ℤ` and the rational prime below it has norm greater than `2`, then `torsionOrder K` divides `absNorm P - 1`. This is a variant of `torsionOrder_dvd_absNorm_sub_one` that replaces the coprimality hypothesis by unramifiedness.
Also add the helper `pow_torsionOrder_eq_one`.
Co-authored-by: Ashleigh Ratcliffe
Co-authored-by: Bryan Hu
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|
t-number-theory
t-algebra
label:t-algebra$ |
64/5 |
Mathlib/NumberTheory/NumberField/Ideal/Basic.lean,Mathlib/NumberTheory/NumberField/Units/Basic.lean |
2 |
13 |
['CBirkbeck', 'github-actions', 'tb65536', 'xroblot'] |
tb65536 assignee:tb65536 |
7-38582 7 days ago |
14-60179 14 days ago |
16-24114 16 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'] |
nobody |
7-37203 7 days ago |
8-5943 8 days ago |
8-5937 8 days |
| 41061 |
FrankieNC author:FrankieNC |
feat(Algebra/Order/BigOperators): monotonicity of finite products |
# Summary
Add `Monotone.finsetProd` and `Antitone.finsetProd` (with `to_additive`, `Monotone.finsetSum`/`Antitone.finsetSum`): a finite product (resp. sum) of monotone (resp. antitone) functions is monotone (resp. antitone).
These are the finite-indexed generalisations of `Monotone.mul'`/`add`.
---
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|
t-algebra
brownian
easy
label:t-algebra$ |
28/0 |
Mathlib/Algebra/Order/BigOperators/Group/Finset.lean |
1 |
8 |
['CoolRmal', 'SnirBroshi', 'github-actions'] |
nobody |
7-35219 7 days ago |
7-37612 7 days ago |
20-86044 20 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 |
7-33235 7 days ago |
7-47846 7 days ago |
26-35046 26 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 |
7-30153 7 days ago |
34-43288 34 days ago |
34-43282 34 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 |
7-29786 7 days ago |
7-31327 7 days ago |
36-83329 36 days |
| 41518 |
judsonpereirademoura-netizen author:judsonpereirademoura-netizen |
feat(Analysis/CStarAlgebra/Matrix): add CStarAlgebra instance for matrices |
Adds the bundled CStarAlgebra instance for Matrix n n ℂ in the L2 operator norm (Mathlib already has CStarRing scoped in Matrix.Norms.L2Operator, but not the bundled algebra). Composed from the existing scoped instances. Follow-up to #40900. |
t-analysis
new-contributor
|
7/0 |
Mathlib/Analysis/CStarAlgebra/Matrix.lean |
1 |
5 |
['github-actions', 'judsonpereirademoura-netizen', 'themathqueen'] |
nobody |
7-26469 7 days ago |
8-12510 8 days ago |
8-12755 8 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 |
7-20256 7 days ago |
7-22576 7 days ago |
7-22570 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$ |
310/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Matrix/Echelon.lean |
2 |
31 |
['JJYYY-JJY', 'SnirBroshi', 'bryangingechen', 'copilot-pull-request-reviewer', 'dagurtomas', 'github-actions', 'mathlib-merge-conflicts', 'mathlib-splicebot', 'themathqueen', 'wwylele'] |
mattrobball assignee:mattrobball |
7-18042 7 days ago |
7-31137 7 days ago |
53-65311 53 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 |
7-18034 7 days ago |
20-33556 20 days ago |
20-34706 20 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 |
7-17137 7 days ago |
113-73309 113 days ago |
132-65264 132 days |
| 40653 |
peabrainiac author:peabrainiac |
feat(Geometry/Manifold/Vectorbundle): the action of `𝕜` on the total space of a Cⁿ `𝕜`-vector bundle is Cⁿ |
Prove that for every Cⁿ `𝕜`-vector bundle `E`, the action of `𝕜` on `Bundle.TotalSpace F E` via scalar multiplication is Cⁿ too. As an application, we generalise a few lemmas on $C^n$ sections from sections of vector bundles to sections of bundles with a $C^n$ fibrewise action, and prove that the space `Cₛ^n⟮I; F, V⟯` of sections of a vector bundle is not just a vector space over `𝕜` but also compatibly a module over the ring `C^n⟮I, M; 𝕜⟯` of smooth functions.
---
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t-differential-geometry |
158/41 |
Mathlib.lean,Mathlib/Data/Bundle.lean,Mathlib/Geometry/Manifold/PartitionOfUnity.lean,Mathlib/Geometry/Manifold/VectorBundle/Algebra.lean,Mathlib/Geometry/Manifold/VectorBundle/ContMDiffSection.lean,Mathlib/Geometry/Manifold/VectorBundle/CovariantDerivative/Basic.lean,Mathlib/Geometry/Manifold/VectorBundle/LocalFrame.lean |
7 |
1 |
['github-actions'] |
fpvandoorn assignee:fpvandoorn |
7-17133 7 days ago |
31-5892 31 days ago |
31-6076 31 days |
| 40410 |
seewoo5 author:seewoo5 |
feat(DihedralGroup): center of $D_n$ for even $n\ne 2$ |
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For even $n \ne 2$, center of $D_n$ is generated by the rotation `r (n/2)`. This is a companion of `center_eq_bot_of_odd_ne_one` proved in #33971. Initial code & further golfing is done by Claude Opus 4.5.
[](https://gitpod.io/from-referrer/)
|
t-algebra
LLM-generated
t-group-theory
label:t-algebra$ |
41/0 |
Mathlib/GroupTheory/SpecificGroups/Dihedral.lean |
1 |
11 |
['SnirBroshi', 'github-actions', 'plp127', 'seewoo5'] |
nobody |
7-17132 7 days ago |
37-642 37 days ago |
37-62653 37 days |
| 41319 |
lakesare author:lakesare |
feat(Order/Interval/Set/Disjoint): add iUnion_Icc_eq_Ici_self_iff (and dual), iUnion_Ioi_eq_Ioi_iInf, iUnion_Iio_eq_Iio_iSup |
From the Carleson project.
___
**Upstreaming from Carleson: [Carleson/ToMathlib/Order/Interval/Set/Disjoint.lean](https://github.com/fpvandoorn/carleson/blob/master/Carleson/ToMathlib/Order/Interval/Set/Disjoint.lean)**
Changes from the Carleson version:
1. `IsGLB.biUnion_Ioi_eq_Ioi` theorem is deleted, because Mathlib has `IsGLB.biUnion_Ioi_eq`.
`IsGLB.biUnion_Ioi_eq_Ioi` was not referenced anywhere in Carleson (apart from this very file we're porting), so nothing else to clean up.
Carleson:
```
#check IsGLB.biUnion_Ioi_eq_Ioi
IsGLB.biUnion_Ioi_eq_Ioi.{u_1} {α : Type u_1} [LinearOrder α] {s : Set α} {a : α} (a_glb : IsGLB s a) : ⋃ x ∈ s, Ioi x = Ioi a
```
Mathlib:
```
#check IsGLB.biUnion_Ioi_eq
IsGLB.biUnion_Ioi_eq.{v} {α : Type v} [LinearOrder α] {s : Set α} {a : α} (h : IsGLB s a) : ⋃ x ∈ s, Ioi x = Ioi a
```
2. `Set.iUnion_Icc_eq_Ici_self_iff` upstreamed (verbatim)
3. `Set.iUnion_Icc_eq_Iic_self_iff` newly added theorem, dual of the above
4. `iUnion_Ioi_eq_Ioi_iInf`, `iUnion_Iio_eq_Iio_iSup` - upstreamed (refactored)
[](https://gitpod.io/from-referrer/)
|
carleson
t-order
new-contributor
easy
|
13/0 |
Mathlib/Order/Interval/Set/Disjoint.lean |
1 |
4 |
['github-actions', 'lakesare', 'wwylele'] |
nobody |
7-15658 7 days ago |
13-70160 13 days ago |
13-70154 13 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 |
7-9211 7 days ago |
36-6834 36 days ago |
57-50780 57 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 |
7-4845 7 days ago |
7-7971 7 days ago |
7-7965 7 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 |
7-3851 7 days ago |
7-7014 7 days ago |
7-7008 7 days |
| 41560 |
mcdoll author:mcdoll |
feat(Analysis): use `IsApply` for `GroupSeminorm` |
Also adds instances for `AddCommMonoid`
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|
t-analysis |
58/48 |
Mathlib/Analysis/Normed/Group/Seminorm.lean |
1 |
1 |
['github-actions'] |
nobody |
7-1571 7 days ago |
7-1571 7 days ago |
7-1565 7 days |
| 39755 |
wwylele author:wwylele |
chore(GroupTheory): remove a defeq abuse |
---
I am not sure if this is the right change to make, so I'd like to start a discussion from this. The issue here seems to be that the simp lemma [MulAction.orbitRel.Quotient.orbit_mk](https://leanprover-community.github.io/mathlib4_docs/Mathlib/GroupTheory/GroupAction/Defs.html#MulAction.orbitRel.Quotient.orbit_mk) fired and changed the underlying type of variables in the expression, which is not defeq at instance transparency, and fails defeq check for `MulAction` ([MulAction.instElemOrbit](https://leanprover-community.github.io/mathlib4_docs/Mathlib/GroupTheory/GroupAction/Defs.html#MulAction.instElemOrbit) vs [MulAction.instElemOrbit_1](https://leanprover-community.github.io/mathlib4_docs/Mathlib/GroupTheory/GroupAction/Defs.html#MulAction.instElemOrbit_1)). The easy change here is to disable the offending simp, but it feels like a common language pitfall. Should we do either of the following instead?
- remove `MulAction.orbitRel.Quotient.orbit_mk` from default simp set
- Make the the orbit definition more transparent
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|
tech debt
t-group-theory
|
1/2 |
Mathlib/GroupTheory/GroupAction/Basic.lean |
1 |
1 |
['Multramate', 'github-actions', 'joneugster'] |
nobody |
6-72657 6 days ago |
54-39243 54 days ago |
54-39237 54 days |
| 40593 |
grunweg author:grunweg |
chore(MathlibTest): fix defLemma warnings |
In all these cases, a dummy definition was declared of type True: the `defProp` linter complains that a declaration of type `True` should be a `lemma`. Instead, change to a definition with value (the natural 0).
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|
tech debt
maintainer-merge
|
5/7 |
MathlibTest/Linter/DocPrime.lean,MathlibTest/Tactic/Says/Basic.lean |
2 |
6 |
['adomani', 'github-actions', 'grunweg', 'joneugster', 'mathlib-merge-conflicts'] |
nobody |
6-68680 6 days ago |
13-63798 13 days ago |
25-38565 25 days |
| 40981 |
LLaurance author:LLaurance |
chore(Algebra/Ring/BooleanRing): resolve TODO on non-terminal simp |
---
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|
t-algebra
tech debt
label:t-algebra$ |
1/3 |
Mathlib/Algebra/Ring/BooleanRing.lean |
1 |
2 |
['Multramate', 'github-actions'] |
nobody |
6-64575 6 days ago |
6-65123 6 days ago |
22-56853 22 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 |
6-61392 6 days ago |
6-62260 6 days ago |
8-62363 8 days |
| 40381 |
felixpernegger author:felixpernegger |
chore: replace `:= by rfl` with `:= rfl` |
Continuation of #40371.
This PR replace `:= by rfl` with `:= rfl` whenever possible (also if the `rfl` is on the next line). This ought to make `dsimp` a little bit better as well.
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|
253/460 |
Archive/Imo/Imo2010Q5.lean,Mathlib/Algebra/Algebra/NonUnitalHom.lean,Mathlib/Algebra/Category/Grp/Basic.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/Monoidal.lean,Mathlib/Algebra/Category/MonCat/Basic.lean,Mathlib/Algebra/Category/Ring/Constructions.lean,Mathlib/Algebra/Colimit/DirectLimit.lean,Mathlib/Algebra/DirectSum/Finsupp.lean,Mathlib/Algebra/DirectSum/Module.lean,Mathlib/Algebra/DirectSum/Ring.lean,Mathlib/Algebra/Group/AddChar.lean,Mathlib/Algebra/Group/Subgroup/Defs.lean,Mathlib/Algebra/GroupWithZero/ProdHom.lean,Mathlib/Algebra/Homology/HomotopyCategory/HomComplex.lean,Mathlib/Algebra/Homology/ShortComplex/LeftHomology.lean,Mathlib/Algebra/Homology/Single.lean,Mathlib/Algebra/Lie/Basic.lean,Mathlib/Algebra/Lie/Cochain.lean,Mathlib/Algebra/Lie/Extension.lean,Mathlib/Algebra/Lie/OfAssociative.lean,Mathlib/Algebra/Lie/Submodule.lean,Mathlib/Algebra/Lie/Weights/Basic.lean,Mathlib/Algebra/Order/Hom/MonoidWithZero.lean,Mathlib/Algebra/Order/Hom/Ring.lean,Mathlib/Algebra/Order/Module/PositiveLinearMap.lean,Mathlib/Algebra/Polynomial/AlgebraMap.lean,Mathlib/Algebra/Polynomial/Coeff.lean,Mathlib/Algebra/Polynomial/Derivation.lean,Mathlib/Algebra/Polynomial/Module/Basic.lean,Mathlib/Algebra/Polynomial/Sequence.lean,Mathlib/Algebra/Ring/Hom/Defs.lean,Mathlib/Algebra/Star/NonUnitalSubalgebra.lean,Mathlib/Algebra/Vertex/HVertexOperator.lean,Mathlib/Algebra/Vertex/VertexOperator.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Affine/Point.lean,Mathlib/AlgebraicGeometry/Modules/Sheaf.lean,Mathlib/AlgebraicTopology/SimplexCategory/Rev.lean,Mathlib/AlgebraicTopology/SimplicialSet/Homotopy.lean,Mathlib/AlgebraicTopology/SimplicialSet/StdSimplex.lean,Mathlib/Analysis/Analytic/Composition.lean,Mathlib/Analysis/Asymptotics/ExpGrowth.lean,Mathlib/Analysis/CStarAlgebra/GelfandDuality.lean,Mathlib/Analysis/Complex/JensenFormula.lean,Mathlib/Analysis/Distribution/ContDiffMapSupportedIn.lean,Mathlib/Analysis/Distribution/Distribution.lean,Mathlib/Analysis/Distribution/FourierMultiplier.lean,Mathlib/Analysis/Distribution/SchwartzSpace/Basic.lean,Mathlib/Analysis/Distribution/SchwartzSpace/Fourier.lean,Mathlib/Analysis/Distribution/TemperedDistribution.lean,Mathlib/Analysis/Fourier/Convolution.lean,Mathlib/Analysis/Normed/Affine/Isometry.lean,Mathlib/Analysis/Normed/Group/Seminorm.lean,Mathlib/Analysis/Normed/Module/Span.lean,Mathlib/Analysis/SpecialFunctions/Complex/CircleAddChar.lean,Mathlib/Analysis/SpecialFunctions/Stirling.lean,Mathlib/CategoryTheory/Distributive/Monoidal.lean,Mathlib/CategoryTheory/Limits/Presheaf.lean,Mathlib/CategoryTheory/Limits/Shapes/Pullback/Cospan.lean,Mathlib/CategoryTheory/Limits/Types/Equalizers.lean,Mathlib/CategoryTheory/Limits/Types/Products.lean,Mathlib/CategoryTheory/Monoidal/Braided/Multifunctor.lean,Mathlib/CategoryTheory/Monoidal/Closed/Basic.lean,Mathlib/CategoryTheory/Monoidal/Comon_.lean,Mathlib/CategoryTheory/Monoidal/Mod.lean,Mathlib/CategoryTheory/MorphismProperty/OfObjectProperty.lean,Mathlib/CategoryTheory/Shift/CommShift.lean,Mathlib/CategoryTheory/Shift/ShiftedHomOpposite.lean,Mathlib/CategoryTheory/Sites/IsSheafFor.lean,Mathlib/CategoryTheory/Subfunctor/SubmonoidFunctor.lean,Mathlib/CategoryTheory/Yoneda.lean,Mathlib/Combinatorics/Enumerative/Stirling.lean,Mathlib/Combinatorics/SimpleGraph/Maps.lean,Mathlib/Combinatorics/SimpleGraph/Subgraph.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Basic.lean,Mathlib/Computability/AkraBazzi/AkraBazzi.lean,Mathlib/Computability/AkraBazzi/SumTransform.lean,Mathlib/Data/Fin/VecNotation.lean,Mathlib/Data/Matrix/Basic.lean,Mathlib/Data/Nat/Factorization/PrimePow.lean,Mathlib/Data/PFunctor/Multivariate/Basic.lean,Mathlib/Data/Real/Embedding.lean,Mathlib/Data/Rel.lean,Mathlib/Data/Seq/Basic.lean,Mathlib/Data/Set/FiniteExhaustion.lean,Mathlib/Data/Set/Lattice.lean,Mathlib/Data/Set/Pairwise/Lattice.lean,Mathlib/Data/Subtype.lean,Mathlib/Geometry/Euclidean/Volume/Measure.lean,Mathlib/Geometry/Manifold/Bordism.lean,Mathlib/Geometry/Manifold/IsManifold/ExtChartAt.lean,Mathlib/Geometry/Polygon/Basic.lean,Mathlib/GroupTheory/Coxeter/Basic.lean,Mathlib/GroupTheory/FiniteIndexNormalSubgroup.lean,Mathlib/GroupTheory/FreeGroup/Orbit.lean,Mathlib/GroupTheory/GroupAction/ConjAct.lean,Mathlib/GroupTheory/GroupAction/Hom.lean,Mathlib/GroupTheory/SpecificGroups/Alternating.lean,Mathlib/GroupTheory/SpecificGroups/Quaternion.lean,Mathlib/LinearAlgebra/AffineSpace/Simplex/Basic.lean |
170 |
20 |
['dagurtomas', 'felixpernegger', 'github-actions', 'leanprover-radar', 'mathlib-bors', 'mathlib-merge-conflicts', 'tb65536'] |
dagurtomas assignee:dagurtomas |
6-55162 6 days ago |
6-61270 6 days ago |
29-84298 29 days |
| 39420 |
mbkybky author:mbkybky |
feat(RingTheory/LocalProperties): `Module.Invertible` is a local property |
Let `M` be a finite `R`-module. We show that `M` is invertible if `Mₘ` is invertible for any maximal ideal `m` of `R`.
- [x] depends on: #39109
- [x] depends on: #39412
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|
t-ring-theory |
103/0 |
Mathlib.lean,Mathlib/RingTheory/LocalProperties/Invertible.lean |
2 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
6-54996 6 days ago |
6-66331 6 days ago |
6-67098 6 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 |
6-52817 6 days ago |
6-60040 6 days ago |
6-60034 6 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 |
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 |
23 |
['felixpernegger', 'github-actions', 'mathlib-bors', 'scholzhannah'] |
scholzhannah assignee:scholzhannah |
6-52485 6 days ago |
6-52485 6 days ago |
31-50425 31 days |
| 40727 |
pepamontero author:pepamontero |
feat(Geometry/Manifold/Instances/Quotient): quotients of manifolds by smooth free properly discontinuous group actions are manifolds |
Add smooth manifold structure on orbit space `orbitRel.Quotient G M`.
This PR is a follow-up to #35653, which equipped `orbitRel.Quotient G M` with a `ChartedSpace` structure. Here we promote that to an `IsManifold I n` instance, assuming M itself is an `IsManifold I n`.
This started as an ItaLean2025 project; here is the [Zulip thread](https://leanprover.zulipchat.com/#narrow/channel/541885-ItaLean-2025/topic/Projects.3A.20Quotient.20Manifolds/with/575121158) dedicated to it.
Co-authored by: Enrique Díaz Blanco <qdiazblanco@gmail.com>
Co-authored by: Archie Browne <ajb421@ic.ac.uk> |
new-contributor
large-import
|
240/2 |
Mathlib/Geometry/Manifold/Algebra/SMul.lean,Mathlib/Geometry/Manifold/Instances/Quotient.lean,Mathlib/GroupTheory/GroupAction/Defs.lean,Mathlib/Topology/Algebra/ConstMulAction.lean |
4 |
44 |
['Deicyde', 'github-actions', 'grunweg', 'pepamontero', 'scholzhannah'] |
grunweg assignee:grunweg |
6-43875 6 days ago |
6-53594 6 days ago |
6-56469 6 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'] |
nobody |
6-41890 6 days ago |
6-42450 6 days ago |
6-42444 6 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 |
6-36995 6 days ago |
6-39362 6 days ago |
6-39767 6 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 |
6-27471 6 days ago |
6-27525 6 days ago |
6-27520 6 days |
| 40982 |
felixpernegger author:felixpernegger |
chore(Algebra/Category/ModuleCat/Stalk): avoid heartbeat modification |
Splitting up a `simp only` to get under the threshhold. Right now this is the only remaining heartbeat modification in mathlib.
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tech debt
t-category-theory
|
7/4 |
Mathlib/Algebra/Category/ModuleCat/Stalk.lean |
1 |
7 |
['felixpernegger', 'github-actions', 'joneugster', 'leanprover-radar'] |
joneugster assignee:joneugster |
6-25110 6 days ago |
6-25110 6 days ago |
22-49508 22 days |
| 41605 |
tb65536 author:tb65536 |
feat(NumberTheory/Height/NumberField): the absolute height of an algebraic number |
This PR defines the absolute height of an algebraic number. The proof that this definition does not depend on the choice of ambient number field is in #41606, but it would be nice to have this definition in mathlib earlier for statements in a downstream repo.
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t-number-theory
t-algebra
label:t-algebra$ |
10/0 |
Mathlib/NumberTheory/Height/NumberField.lean |
1 |
1 |
['github-actions'] |
nobody |
6-24730 6 days ago |
6-25277 6 days ago |
6-25272 6 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 |
6-18043 6 days ago |
40-78932 40 days ago |
58-44885 58 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 |
6-18040 6 days ago |
58-45918 58 days ago |
58-45912 58 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'] |
faenuccio, jjdishere, joneugster assignee:joneugster assignee:faenuccio assignee:jjdishere |
6-18037 6 days ago |
53-14912 53 days ago |
53-14906 53 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'] |
faenuccio, jjdishere, joneugster assignee:joneugster assignee:faenuccio assignee:jjdishere |
6-18037 6 days ago |
43-57251 43 days ago |
51-48770 51 days |
| 40377 |
khwilson author:khwilson |
feat(Topology/Semicontinuity/Hemicontinuity): sequential characterizations of hemicontinuity |
We prove two things: First, we prove a sequential characterization of lower hemicontinuity in terms of sequences. `LowerHemicontinuousAt.of_sequences`
Second, we show that upper and lower hemicontinuity are preserved under uniform limits in the Hausdorff uniformity.
N.B. the increase in imports comes from importing uniformity structures (including the Hausdorff uniformity). If preferred, I can break these uniform convergence lemmas out into their own file to minimize imports in this file.
AI Disclosure: Initial proof outlined by me, lean statement written by me, initial draft of lean proof provided by claude code, then I provided edits, comments, and docstrings
- [x] depends on: #38601
---
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t-topology
large-import
|
114/5 |
Mathlib/Topology/Semicontinuity/Hemicontinuity.lean |
1 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
scholzhannah assignee:scholzhannah |
6-18036 6 days ago |
14-39199 14 days ago |
15-14604 15 days |
| 40591 |
ajirving author:ajirving |
feat(Topology/Algebra): inv and div for infinite products over groups with zero |
Proves two lemmas for infinite products over groups with zero: inverses and division behave as expected provided the limit is nonzero. This requires an extra import to get some of the GroupWithZero API. Maybe the GroupWithZero results should be in a different file but I was just adding to what was already there in Group.lean.
---
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t-topology |
17/1 |
Mathlib/Topology/Algebra/InfiniteSum/Group.lean |
1 |
7 |
['ajirving', 'github-actions', 'plp127', 'scholzhannah'] |
ADedecker assignee:ADedecker |
6-18033 6 days ago |
6-49416 6 days ago |
32-75306 32 days |
| 40616 |
kim-em author:kim-em |
feat(AlgebraicGeometry/Group): add Jacobian blueprint via def_wanted/theorem_wanted |
This PR adds a blueprint of the Jacobian of a smooth, proper, geometrically irreducible curve over a field, expressed entirely through the new `def_wanted` / `theorem_wanted` / `instance_wanted` placeholder declarations. Each dependency between the wanted declarations is recorded through the `❰…❱` bracket syntax, so the placeholder types can refer to each other, without polluting the environment with `sorry` or `axiom`.
The file is adapted from Christian Merten's `JacobianChallenge.lean` in the lean-eval repository.
I hope that we will consider this as a way of "pre-reviewing" design level work for Mathlib. It should encourage contributors to fill in details, and they will know that the implementation work is desirable. It should allow us to speed up review, as if the characterisation in the design PR has already been approved it is relatively easier (or at least, a narrower problem) to review an implementation PR.
🤖 Prepared with Claude Code |
t-algebraic-geometry |
98/1 |
Mathlib.lean,Mathlib/AlgebraicGeometry/Group/Jacobian.lean,Mathlib/Tactic/Linter/TextBased/UnicodeLinter.lean |
3 |
1 |
['github-actions'] |
riccardobrasca assignee:riccardobrasca |
6-18032 6 days ago |
32-2773 32 days ago |
32-2953 32 days |
| 40830 |
SnirBroshi author:SnirBroshi |
feat(Analysis/Convex/Function): composition of strictly and non-strictly convex functions |
We currently have composition lemmas for `StrictCon{vex/cave}On` of the form:
```lean
theorem StrictConvexOn.comp :
StrictConvexOn 𝕜 (f '' s) g → StrictMonoOn g (f '' s) →
StrictConvexOn 𝕜 s f → s.InjOn f →
StrictConvexOn 𝕜 s (g ∘ f)
```
If we let either function be convex instead of strictly convex we get:
```lean
theorem ConvexOn.comp_strictConvexOn :
ConvexOn 𝕜 (f '' s) g → StrictMonoOn g (f '' s) →
StrictConvexOn 𝕜 s f →
StrictConvexOn 𝕜 s (g ∘ f)
theorem StrictConvexOn.comp_convexOn :
StrictConvexOn 𝕜 (f '' s) g → MonotoneOn g (f '' s) →
ConvexOn 𝕜 s f → s.InjOn f →
StrictConvexOn 𝕜 s (g ∘ f)
```
In a `Module` these are both stronger than the original version (since `StrictConvexOn` implies `ConvexOn`), but they work over any `SMul`.
---
This adds the two generalizations and concave versions (8 theorems in total), and also golfs the existing `StrictConcaveOn.comp` using the existing `StrictConcaveOn.comp_strictConvexOn` (which has to be moved above).
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t-analysis |
44/9 |
Mathlib/Analysis/Convex/Function.lean |
1 |
1 |
['github-actions'] |
j-loreaux assignee:j-loreaux |
6-18030 6 days ago |
27-18030 27 days ago |
27-23286 27 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 |
6-18029 6 days ago |
18-69781 18 days ago |
18-70907 18 days |
| 41561 |
mcdoll author:mcdoll |
feat(NumberTheory): use `IsApply` for `ModularForm` etc |
We use `IsApply` classes for `SlashInvariantForm`, `ModularForm` and `CuspForm` at the same time to avoid temporary name clashes and since they are not used as widely as `LinearMap` and `ContinuousLinearMap` for example.
---
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t-number-theory |
133/170 |
Mathlib/NumberTheory/ModularForms/Basic.lean,Mathlib/NumberTheory/ModularForms/EisensteinSeries/QExpansion.lean,Mathlib/NumberTheory/ModularForms/LevelOne/Basic.lean,Mathlib/NumberTheory/ModularForms/LevelOne/DimensionFormula.lean,Mathlib/NumberTheory/ModularForms/LevelOne/GradedRing.lean,Mathlib/NumberTheory/ModularForms/NormTrace.lean,Mathlib/NumberTheory/ModularForms/SlashInvariantForms.lean |
7 |
1 |
['github-actions'] |
loefflerd assignee:loefflerd |
6-18027 6 days ago |
7-1713 7 days ago |
7-1707 7 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 |
6-17140 6 days ago |
27-25598 27 days ago |
84-24048 84 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 |
6-17139 6 days ago |
55-9855 55 days ago |
55-9849 55 days |
| 41589 |
yuanyi-350 author:yuanyi-350 |
chore(Order/ConditionallyCompletePartialOrder/Indexed): use `to_dual` more to kill `TODO` |
This PR uses `to_dual` to translate some theorems about `ConditionallyCompletePartialOrder` and kill TODO.
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|
t-order |
8/58 |
Mathlib/Order/ConditionallyCompletePartialOrder/Indexed.lean |
1 |
1 |
['github-actions'] |
nobody |
6-13958 6 days ago |
6-16408 6 days ago |
6-39692 6 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 |
6-12001 6 days ago |
6-12873 6 days ago |
6-12867 6 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 |
6-4327 6 days ago |
6-7142 6 days ago |
6-7136 6 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 |
6-4169 6 days ago |
9-12602 9 days ago |
9-12596 9 days |
| 41612 |
SnirBroshi author:SnirBroshi |
feat: `Commute` and `IsCoprime` are `Std.Symm` |
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|
t-ring-theory |
7/0 |
Mathlib/Algebra/Group/Commute/Defs.lean,Mathlib/RingTheory/Coprime/Basic.lean |
2 |
1 |
['github-actions'] |
nobody |
5-84450 5 days ago |
6-1219 6 days ago |
6-1213 6 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 |
5-68139 5 days ago |
7-12724 7 days ago |
7-12718 7 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 |
5-62027 5 days ago |
5-62603 5 days ago |
5-62597 5 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 |
5-59272 5 days ago |
5-60128 5 days ago |
5-60166 5 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 |
5-59262 5 days ago |
5-60227 5 days ago |
13-77203 13 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 |
5-50454 5 days ago |
9-33500 9 days ago |
12-12301 12 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 |
5-33796 5 days ago |
5-60659 5 days ago |
20-17910 20 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 |
5-18042 5 days ago |
42-48546 42 days ago |
42-50305 42 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 |
5-17140 5 days ago |
26-49076 26 days ago |
51-41525 51 days |
| 41614 |
xroblot author:xroblot |
feat(RingTheory/Algebraic): tower law for Module.finrank over domains |
Adds `Module.finrank_mul_finrank'`, a variant of the tower law `finrank R S * finrank S T = finrank R T` for a tower of domains `R → S → T`.
---
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|
t-ring-theory |
23/4 |
Mathlib/LinearAlgebra/Dimension/Free.lean,Mathlib/RingTheory/Algebraic/Integral.lean |
2 |
5 |
['github-actions', 'tb65536'] |
riccardobrasca assignee:riccardobrasca |
5-14254 5 days ago |
5-75976 5 days ago |
5-75970 5 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 |
5-10774 5 days ago |
5-12755 5 days ago |
5-12907 5 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 |
5-10075 5 days ago |
5-10644 5 days ago |
5-10638 5 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 |
5-7698 5 days ago |
5-8246 5 days ago |
69-59590 69 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 |
5-2525 5 days ago |
23-76296 23 days ago |
23-76290 23 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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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
26/0 |
Mathlib/LinearAlgebra/ExteriorPower/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
5-2493 5 days ago |
23-75486 23 days ago |
23-76048 23 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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[](https://gitpod.io/from-referrer/)
|
t-algebra
LLM-generated
label:t-algebra$ |
231/0 |
Mathlib.lean,Mathlib/LinearAlgebra/ExteriorPower/BaseChange.lean |
2 |
2 |
['github-actions', 'grunweg'] |
nobody |
5-2071 5 days ago |
5-65837 5 days ago |
23-55732 23 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'] |
themathqueen assignee:themathqueen |
5-1880 5 days ago |
37-8875 37 days ago |
37-65504 37 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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[](https://gitpod.io/from-referrer/)
|
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 |
5-1846 5 days ago |
5-2431 5 days ago |
5-2425 5 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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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
148/0 |
Mathlib.lean,Mathlib/LinearAlgebra/ExteriorAlgebra/Basic.lean,Mathlib/LinearAlgebra/ExteriorAlgebra/Product.lean |
3 |
3 |
['eric-wieser', 'github-actions'] |
nobody |
5-924 5 days ago |
21-70335 21 days ago |
21-70329 21 days |
| 41633 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Paths): length of closed a walk/trail isn't `1`/`2` |
For a closed walk `p`:
- `p.length ≠ 1`
- `p.IsTrail` → `p.length ≠ 2`
- `p.IsTrail` → `p.length ≤ 2` → `p.Nil`
---
Since a circuit is a closed non-nil trail, `IsTrail.nil_of_length_le_two` is basically the contrapositive of `IsCircuit.three_le_length`, but I think this form is useful.
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|
t-combinatorics |
11/4 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Basic.lean |
2 |
1 |
['github-actions'] |
nobody |
4-86247 4 days ago |
5-499 5 days ago |
5-493 5 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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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
93/0 |
Mathlib.lean,Mathlib/Algebra/Module/MinimalGenerators.lean |
2 |
1 |
['github-actions'] |
nobody |
4-85968 4 days ago |
23-80186 23 days ago |
23-80180 23 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 unfold Subrepresentation.toRepresentation.
Add the quotient representation associated to a subrepresentaiton. It wraps up Representation.quotient and Representation.Subrepresentation. Help avoid writing down explicitly the stability condition required in Representation.quotient.
|
t-algebra
new-contributor
label:t-algebra$ |
26/0 |
Mathlib/RepresentationTheory/Subrepresentation.lean |
1 |
17 |
['JX-Mo', 'Whysoserioushah', 'github-actions'] |
nobody |
4-82661 4 days ago |
4-83268 4 days ago |
20-52831 20 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 |
4-76695 4 days ago |
4-76695 4 days ago |
4-79910 4 days |
| 29077 |
grunweg author:grunweg |
feat(Manifold/Instances/Icc): golf smoothness proof using immersions |
Prove that the inclusion of an interval into the real numbers is a smooth embedding,
and use this to golf the proof that this inclusion is smooth.
---
- [x] depends on: #28865
- [x] depends on: #40632
- [x] depends on: #40634
- [x] depends on: #40637
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|
t-differential-geometry
tech debt
|
75/46 |
Mathlib/Geometry/Manifold/Instances/Icc.lean |
1 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
nobody |
4-71283 4 days ago |
4-71468 4 days ago |
4-71771 4 days |
| 41635 |
grunweg author:grunweg |
chore: golf proof of smoothness of immersions and submersions |
The current proof of `Is{Immersion,Submersion}AtOfComplement.contMDiffOn` is slightly longer because two lemmas expect (mathematically equivalent, but incompatible) models with corners.
Side-step this by passing to the normed space setting at first, where this issue does not arise.
Pointed out by kim-em using Claude code.
While at it, also golf one proof using `fun_prop`.
---
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[](https://gitpod.io/from-referrer/)
|
t-differential-geometry |
4/20 |
Mathlib/Geometry/Manifold/Immersion.lean,Mathlib/Geometry/Manifold/Submersion.lean |
2 |
1 |
['github-actions'] |
nobody |
4-71052 4 days ago |
4-71726 4 days ago |
4-71720 4 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 |
4-64832 4 days ago |
4-64832 4 days ago |
4-64826 4 days |
| 40409 |
felixpernegger author:felixpernegger |
chore(MeasureTheory/Measure/Prod): remove an `erw` |
Extracted from #40348
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|
t-measure-probability |
5/3 |
Mathlib/MeasureTheory/Measure/Prod.lean |
1 |
3 |
['github-actions', 'mcdoll'] |
EtienneC30 assignee:EtienneC30 |
4-62551 4 days ago |
37-66618 37 days ago |
37-66612 37 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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[](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 |
4-61739 4 days ago |
5-34174 5 days ago |
30-69329 30 days |
| 41648 |
Rida-Hamadani author:Rida-Hamadani |
chore(Combinatorics/SimpleGraph): fix naming of `colorable_iff_forall_connectedComponents` |
Adhering by the naming convention, the `connectedComponents` in `colorable_iff_forall_connectedComponents` should be singular.
---
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics
easy
|
5/2 |
Mathlib/Combinatorics/SimpleGraph/Coloring/Constructions.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/Vertex.lean |
2 |
1 |
['github-actions'] |
nobody |
4-61271 4 days ago |
4-61819 4 days ago |
4-61813 4 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 |
4-60129 4 days ago |
4-61101 4 days ago |
4-61095 4 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 |
4-54856 4 days ago |
4-56608 4 days ago |
5-61646 5 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 |
4-54329 4 days ago |
4-54329 4 days ago |
4-54323 4 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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[](https://gitpod.io/from-referrer/)
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
|
207/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/AddGroup.lean,MathlibTest/Tactic/AddGroup.lean |
4 |
28 |
['JovanGerb', 'SnirBroshi', 'github-actions', 'joneugster', 'kbuzzard', 'mathlib-merge-conflicts', 'thorimur'] |
thorimur assignee:thorimur |
4-46777 4 days ago |
4-52935 4 days ago |
32-84809 32 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
---
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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 |
4-44747 4 days ago |
15-24868 15 days ago |
15-27099 15 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 |
4-35888 4 days ago |
4-35888 4 days ago |
6-4184 6 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 |
4-28618 4 days ago |
4-31145 4 days ago |
4-31139 4 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 |
4-25072 4 days ago |
4-27915 4 days ago |
8-31304 8 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`. |
t-topology
LLM-generated
new-contributor
|
22/0 |
Mathlib/Topology/Connected/LocallyPathConnected.lean,Mathlib/Topology/Connected/PathConnected.lean |
2 |
3 |
['github-actions', 'korbonits'] |
nobody |
4-24740 4 days ago |
4-26043 4 days ago |
4-26300 4 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 |
4-24226 4 days ago |
9-44939 9 days ago |
30-83411 30 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.
---
<!-- Your PR title will become the first line of the commit message.
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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 |
4-18042 4 days ago |
40-62114 40 days ago |
50-11728 50 days |
| 40613 |
LLaurance author:LLaurance |
feat(Probability): expectation of a binomial random variable |
---
<!-- Your PR title will become the first line of the commit message.
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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 |
4-18041 4 days ago |
32-6272 32 days ago |
32-6266 32 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 |
4-18038 4 days ago |
12-80110 12 days ago |
12-80639 12 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 |
3 |
['TTony2019', 'github-actions'] |
urkud assignee:urkud |
4-18038 4 days ago |
8-72823 8 days ago |
8-72817 8 days |
| 36442 |
SnirBroshi author:SnirBroshi |
feat(Data/Sym/Sym2/Card): cardinality theorems about `Sym2 α` |
---
<!-- Your PR title will become the first line of the commit message.
In this box, the text above the `---` (if not empty) will be appended
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-->
[](https://gitpod.io/from-referrer/)
|
t-data |
168/0 |
Mathlib.lean,Mathlib/Data/Set/Image.lean,Mathlib/Data/Sym/Sym2.lean,Mathlib/Data/Sym/Sym2/Card.lean |
4 |
32 |
['SnirBroshi', 'eric-wieser', 'github-actions', 'joneugster', 'themathqueen'] |
eric-wieser assignee:eric-wieser |
4-13829 4 days ago |
8-77284 8 days ago |
61-20953 61 days |
| 41626 |
SnirBroshi author:SnirBroshi |
feat(SimpleGraph/Subwalks): an empty walk at `v` is a subwalk of any walk to `v` |
---
<!-- Your PR title will become the first line of the commit message.
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-->
[](https://gitpod.io/from-referrer/)
|
easy
t-combinatorics
|
7/1 |
Mathlib/Combinatorics/SimpleGraph/Walk/Subwalks.lean |
1 |
1 |
['Rida-Hamadani', 'github-actions'] |
nobody |
4-4922 4 days ago |
5-32815 5 days ago |
5-32809 5 days |
| 41525 |
JX-Mo author:JX-Mo |
feat(RepresentationTheory): add Smooth.Basic for smooth representations |
This PR introduces basic set up 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$ |
355/0 |
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 |
3-86329 3 days ago |
4-3207 4 days ago |
7-83087 7 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 |
3-83993 3 days ago |
3-84535 3 days ago |
3-84529 3 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 |
3-81587 3 days ago |
3-84359 3 days ago |
3-84353 3 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 |
3-77334 3 days ago |
3-77867 3 days ago |
88-51572 88 days |
| 40340 |
themathqueen author:themathqueen |
feat(Analysis/InnerProductSpace/TensorProduct): continuous version of `TensorProduct.mk` |
and isometric version of `TensorProduct.rid`.
---
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-->
[](https://gitpod.io/from-referrer/)
|
t-analysis |
59/9 |
Mathlib/Analysis/InnerProductSpace/TensorProduct.lean,Mathlib/LinearAlgebra/TensorProduct/Associator.lean |
2 |
1 |
['github-actions'] |
j-loreaux assignee:j-loreaux |
3-76757 3 days ago |
3-78589 3 days ago |
39-40403 39 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'] |
nobody |
3-75907 3 days ago |
4-64984 4 days ago |
4-64978 4 days |
| 40824 |
alejandro-soto-franco author:alejandro-soto-franco |
feat(Analysis/FunctionalSpaces): the one-dimensional Poincaré inequality |
Adds the one-dimensional Poincaré inequality `MeasureTheory.poincare_1d`: for
`f : ℝ → E` continuous on `[a, b]`, continuously differentiable on `(a, b)`, with
`f a = 0`,
```
∫⁻ x in Icc a b, ‖f x‖ₑ ^ 2 ≤ ENNReal.ofReal ((b - a) ^ 2) * ∫⁻ x in Icc a b, ‖deriv f x‖ₑ ^ 2.
```
The statement uses lower Lebesgue integrals of extended norms, so no integrability
hypothesis on the derivative is needed (the bound is automatic when the right-hand
side is infinite), and it holds for an arbitrary normed space `E`. The general
(not necessarily complete) `E` is handled by `wlog … : CompleteSpace E generalizing E`
together with the completion-embedding idiom, as in
`Mathlib/MeasureTheory/Integral/IntervalIntegral/DistLEIntegral.lean`.
Also adds the supporting `ENNReal.lintegral_sq_le_measure_mul_lintegral_sq`
(Cauchy–Schwarz for the lower Lebesgue integral against the constant `1`, the
`p = q = 2` case of Hölder) to `MeanInequalities.lean`.
This is the base case for an n-dimensional convex-domain version (Fubini over
coordinate slices), planned as a follow-up. The statement form (extended-norm
Lebesgue integrals, arbitrary normed space) follows [discussion with Sébastien
Gouëzel on Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/1D.20Poincar.C3.A9.20inequality).
---
AI assistance: this contribution was developed with the help of Claude Code Opus 4.8; the proof was
drafted and iteratively refined against the Lean compiler, then reviewed by me.
|
t-measure-probability
new-contributor
LLM-generated
|
678/18 |
Mathlib.lean,Mathlib/Analysis/FunctionalSpaces/PoincareInequality.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/ContDiff.lean,Mathlib/MeasureTheory/Integral/MeanInequalities.lean |
4 |
36 |
['alejandro-soto-franco', 'eric-wieser', 'github-actions', 'sgouezel'] |
sgouezel assignee:sgouezel |
3-75607 3 days ago |
3-75887 3 days ago |
14-66839 14 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 |
3-74432 3 days ago |
4-55033 4 days ago |
4-55027 4 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 |
27/0 |
Mathlib/Geometry/Euclidean/Angle/Sphere.lean |
1 |
5 |
['felixpernegger', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
jsm28 assignee:jsm28 |
3-72803 3 days ago |
15-9804 15 days ago |
17-55052 17 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 |
3-63630 3 days ago |
3-66297 3 days ago |
3-66291 3 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 |
3-63172 3 days ago |
66-45923 66 days ago |
66-45917 66 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 |
3-62522 3 days ago |
9-45856 9 days ago |
72-9933 72 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 it reusable.
|
t-algebra
new-contributor
label:t-algebra$ |
23/7 |
Mathlib/RepresentationTheory/Rep/Basic.lean |
1 |
7 |
['JX-Mo', 'Whysoserioushah', 'github-actions'] |
nobody |
3-57233 3 days ago |
3-66924 3 days ago |
3-66938 3 days |
| 41688 |
tb65536 author:tb65536 |
feat(RingTheory/Localization/Integer): cardinality of `finsetIntegerMultiple` |
This PR proves injectivity of `integerMultiple` and computes the cardinality of `card_finsetIntegerMultiple`.
---
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|
t-ring-theory
t-algebra
label:t-algebra$ |
13/0 |
Mathlib/RingTheory/Localization/Integer.lean |
1 |
1 |
['github-actions'] |
nobody |
3-54428 3 days ago |
3-54485 3 days ago |
3-54480 3 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 |
3-50986 3 days ago |
3-54754 3 days ago |
3-56589 3 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
|
18/2 |
Mathlib/RingTheory/Ideal/Norm/RelNorm.lean,Mathlib/RingTheory/NormalClosure.lean |
2 |
5 |
['felixpernegger', 'github-actions', 'vaca22'] |
nobody |
3-50243 3 days ago |
3-52775 3 days ago |
3-52769 3 days |
| 41653 |
Hagb author:Hagb |
fix(Data/Finsupp/MonomialOrder): add the missing namespace for deprecated names |
The namespace `MonomialOrder` was missing when these names were renamed in #39494.
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|
t-data
easy
|
4/4 |
Mathlib/Data/Finsupp/MonomialOrder.lean |
1 |
1 |
['github-actions'] |
nobody |
3-46148 3 days ago |
4-53667 4 days ago |
4-53661 4 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 |
3-36681 3 days ago |
3-40164 3 days ago |
3-44844 3 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 |
164/58 |
Cache/Requests.lean,Cache/Test.lean |
2 |
1 |
['github-actions'] |
nobody |
3-35511 3 days ago |
3-36074 3 days ago |
3-36068 3 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 |
3-32423 3 days ago |
3-32423 3 days ago |
4-24108 4 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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|
t-data |
9/0 |
Mathlib/Data/Finset/Card.lean |
1 |
2 |
['github-actions', 'themathqueen'] |
nobody |
3-31206 3 days ago |
6-41622 6 days ago |
6-41616 6 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 |
3-29806 3 days ago |
3-32189 3 days ago |
3-33741 3 days |
| 40689 |
pechersky author:pechersky |
feat(Algebra/Group/WithOne): isFooCancel when source is |
requires that source has no idempotent elements
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|
t-algebra label:t-algebra$ |
37/0 |
Mathlib/Algebra/Group/WithOne/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
3-29678 3 days ago |
30-11430 30 days ago |
30-11435 30 days |
| 41710 |
WenrongZou author:WenrongZou |
feat(FormalGroup): generalize the definition of `FormalGroup.Point` |
This PR generalizes the definition of the point of formal group. This will fit into more cases of applications.
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|
t-ring-theory |
120/75 |
Mathlib/RingTheory/FormalGroup/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
3-28421 3 days ago |
3-29506 3 days ago |
3-29500 3 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 |
3-27949 3 days ago |
4-66425 4 days ago |
4-66419 4 days |
| 40688 |
pechersky author:pechersky |
feat(Algebra/Group/WithOne): subsingleton when IsEmpty source |
---
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Also for `OnePoint`. I chose `Subsingleton` because I didn't want to create a clashing `Unique` which might be present for Monoid subsingletons. Fine to switch if suggested. |
t-algebra
easy
label:t-algebra$ |
13/0 |
Mathlib/Algebra/Group/WithOne/Defs.lean,Mathlib/Topology/Compactification/OnePoint/Basic.lean |
2 |
2 |
['github-actions'] |
nobody |
3-27730 3 days ago |
30-11566 30 days ago |
30-11581 30 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 |
3-27638 3 days ago |
3-66883 3 days ago |
4-66743 4 days |
| 41711 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Paths): existence of a shortest cycle at a vertex |
---
Longest paths/trails/cycles/circuits are handled in #41522
For circuits not fixed to a specific vertex we have [`exists_girth_eq_length`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Combinatorics/SimpleGraph/Girth.html#SimpleGraph.exists_girth_eq_length) and [`IsCircuit.girth_le_length`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Combinatorics/SimpleGraph/Girth.html#SimpleGraph.Walk.IsCircuit.girth_le_length).
A shortest circuit is a cycle and every cycle is a circuit, so there's no reason to have separate circuit/cycle versions, unlike the "longest" versions.
Note that the notion of shortest paths/trails (either globally or from a specific vertex) doesn't make sense because the nil walk is a path/trail. However a shortest path/trail between two specific endpoints does make sense, and we have [`Reachable.exists_path_of_dist`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Combinatorics/SimpleGraph/Metric.html#SimpleGraph.Reachable.exists_path_of_dist) and [`dist_le`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Combinatorics/SimpleGraph/Metric.html#SimpleGraph.dist_le) for that case.
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t-combinatorics |
14/0 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean |
1 |
1 |
['github-actions'] |
nobody |
3-25480 3 days ago |
3-26095 3 days ago |
3-26089 3 days |
| 41481 |
SnirBroshi author:SnirBroshi |
feat(SimpleGraph/Connectivity/Connected): a preconnected graph with finitely many edges has finitely many vertices |
`Finite V ↔ Finite G.Dart ↔ G.support.Finite ↔ G.edgeSet.Finite`
---
`#G.Dart = 2 * #G.edgeSet` is also true (#36406) which could simplify the `edgeSet` proof, but it's in `DegreeSum.lean` and more complicated. Having `Finite` theorems seems useful.
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t-combinatorics
large-import
|
80/0 |
Mathlib/Combinatorics/SimpleGraph/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean,Mathlib/Combinatorics/SimpleGraph/Dart.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Basic.lean |
4 |
1 |
['github-actions'] |
nobody |
3-25069 3 days ago |
8-80633 8 days ago |
8-80627 8 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 |
3-18043 3 days ago |
27-59897 27 days ago |
113-51606 113 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'] |
scholzhannah assignee:scholzhannah |
3-18041 3 days ago |
21-47948 21 days ago |
89-44837 89 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 |
3-18040 3 days ago |
28-51099 28 days ago |
74-15010 74 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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|
t-algebra label:t-algebra$ |
29/0 |
Mathlib/Algebra/Order/BigOperators/Group/LocallyFinite.lean |
1 |
1 |
['github-actions'] |
joelriou assignee:joelriou |
3-18039 3 days ago |
69-61387 69 days ago |
69-61381 69 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'] |
dagurtomas assignee:dagurtomas |
3-18038 3 days ago |
14-30269 14 days ago |
14-32980 14 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'] |
dagurtomas assignee:dagurtomas |
3-18036 3 days ago |
16-73762 16 days ago |
16-73756 16 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'] |
dagurtomas assignee:dagurtomas |
3-18031 3 days ago |
14-53756 14 days ago |
14-53750 14 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 |
6 |
['SnirBroshi', 'eric-wieser', 'github-actions', 'ldct', 'leanprover-radar'] |
nobody |
3-17137 3 days ago |
71-55619 71 days ago |
71-55743 71 days |
| 41713 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Finite): the `Fintype` instance for `incidenceSet` doesn't need `DecidableEq` |
Now it only requires `Fintype (G.neighborSet v)`.
This caused `incidenceFinset` and theorems about it to complain that `DecidableEq` is unused, so I changed `incidenceFinset` to require `Fintype (G.incidenceSet v)` and fixed the theorems. Theorems that require a finite `neighborSet` can avoid this.
---
The theorem below it also doesn't need `DecidableEq` anymore.
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|
t-combinatorics |
15/10 |
Mathlib/Combinatorics/SimpleGraph/Finite.lean |
1 |
1 |
['github-actions'] |
nobody |
3-11251 3 days ago |
3-11825 3 days ago |
3-12354 3 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 |
3-6702 3 days ago |
3-7270 3 days ago |
4-11554 4 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'] |
nobody |
3-51 3 days ago |
9-14929 9 days ago |
9-16800 9 days |
| 41719 |
peakpoint author:peakpoint |
feat(Topology): paracompact TFAE for regular spaces |
This adds a result of Michael (https://ncatlab.org/nlab/show/Michael%27s+theorem) that states the equivalence of paracompactness with a few similar conditions for a regular space.
A consequence is that a regular Lindelof space is paracompact.
---
I think there should be `Set.Finite.sigma` so I'll make another PR
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|
t-topology |
127/1 |
Mathlib/Topology/Compactness/Paracompact.lean,Mathlib/Topology/LocallyFinite.lean |
2 |
1 |
['github-actions'] |
nobody |
2-81374 2 days ago |
2-83104 2 days ago |
2-83098 2 days |
| 41720 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Walk): relate `edges` and `darts` |
---
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|
t-combinatorics |
32/29 |
Mathlib/Combinatorics/SimpleGraph/Connectivity/Subgraph.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Traversal.lean |
3 |
1 |
['github-actions'] |
nobody |
2-80937 2 days ago |
2-81529 2 days ago |
2-81523 2 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 |
2-80446 2 days ago |
7-81173 7 days ago |
10-13226 10 days |
| 34952 |
joneugster author:joneugster |
feat(scripts/autolabel): use `Cli` and integrate `curl` call into `autolabel` |
- use `Cli` for `lake exe autolabel`
- add arguments `--pr xxx --gh` and `--pr xxx --curl <TOKEN>` to chose between different interaction methods with github
- add `--force` to skip the check whether labels are already present. (note: the current `curl` setup doesn't perform this step and neither does the refactor, so I added a `Todo` to remember this. )
- make CI-workflow simpler and more robust by removing current stdout-parsing of the debug-messages which `autolabel` emits.
- remove CI-trigger on `push`: this was useful back in the days when PRs happened on mathlib4-branches, as it allowed changes to the workflow to be tested directly in the PR. Since this used a security gap which has been closed since, we remove that code completely.
### Testing
Make some local changes and commit them. Ensure your local `origin/master` is in sync with `upstream/master` if you are on a fork.
- `lake exe autolabel`: prints the labels which would be applicable
- `lake exe autolabel --pr 34952 --gh --force` adds these labels to this PR using `gh`.
- `lake exe autolabel --pr 34952 --gh` adds these labels to this PR using `gh` if no topic labels are present.
- `lake exe autolabel --pr 34952 --curl <ACCESS_TOKEN>` adds these labels to this PR using `curl`. This requires a github access token for authentication
---
[](https://gitpod.io/from-referrer/)
|
CI |
85/79 |
.github/workflows/add_label_from_diff.yaml,scripts/autolabel.lean |
2 |
11 |
['adomani', 'github-actions', 'joneugster'] |
nobody |
2-79990 2 days ago |
109-64142 109 days ago |
142-19076 142 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 |
2-79015 2 days ago |
2-79621 2 days ago |
2-79615 2 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$ |
29/24 |
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 |
1 |
['github-actions'] |
nobody |
2-77026 2 days ago |
2-78890 2 days ago |
2-80719 2 days |
| 41446 |
YaelDillies author:YaelDillies |
chore: add missing `noncomputable` |
All these definitions are noncomputable (because they use choice/produce sets), but the computability checker doesn't spot this until I try making `Set` a one-field structure. This is because the computability checker doesn't even try to compute sorts, but it doesn't see that `s : Set α` is (equivalent to) a family of sorts.
---
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|
|
92/81 |
Mathlib/Algebra/Homology/EulerCharacteristic.lean,Mathlib/Analysis/SpecialFunctions/Complex/Circle.lean,Mathlib/CategoryTheory/Presentable/SharplyLT/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Partition.lean,Mathlib/Data/Real/Embedding.lean,Mathlib/Data/Set/MemPartition.lean,Mathlib/Geometry/Euclidean/Sphere/Tangent.lean,Mathlib/GroupTheory/Commutator/Basic.lean,Mathlib/GroupTheory/Complement.lean,Mathlib/GroupTheory/DoubleCoset.lean,Mathlib/GroupTheory/GroupAction/Defs.lean,Mathlib/GroupTheory/SchurZassenhaus.lean,Mathlib/GroupTheory/Transfer.lean,Mathlib/LinearAlgebra/Basis/Flag.lean,Mathlib/LinearAlgebra/Basis/VectorSpace.lean,Mathlib/LinearAlgebra/StdBasis.lean,Mathlib/MeasureTheory/Constructions/ClosedCompactCylinders.lean,Mathlib/MeasureTheory/Constructions/Cylinders.lean,Mathlib/MeasureTheory/Covering/VitaliFamily.lean,Mathlib/MeasureTheory/Function/AEMeasurableSequence.lean,Mathlib/MeasureTheory/Function/StronglyMeasurable/AEStronglyMeasurable.lean,Mathlib/MeasureTheory/MeasurableSpace/CountablyGenerated.lean,Mathlib/MeasureTheory/Measure/Decomposition/Exhaustion.lean,Mathlib/MeasureTheory/Measure/Decomposition/Lebesgue.lean,Mathlib/MeasureTheory/Measure/MutuallySingular.lean,Mathlib/MeasureTheory/Measure/Typeclasses/Finite.lean,Mathlib/MeasureTheory/Measure/Typeclasses/SFinite.lean,Mathlib/ModelTheory/Algebra/Field/CharP.lean,Mathlib/ModelTheory/Algebra/Field/IsAlgClosed.lean,Mathlib/NumberTheory/LSeries/ZetaZeros.lean,Mathlib/NumberTheory/NumberField/CanonicalEmbedding/ConvexBody.lean,Mathlib/NumberTheory/NumberField/CanonicalEmbedding/NormLeOne.lean,Mathlib/Order/Interval/Set/OrdConnectedComponent.lean,Mathlib/Order/Preorder/Chain.lean,Mathlib/Probability/Process/PartitionFiltration.lean,Mathlib/RingTheory/Extension/Presentation/Core.lean,Mathlib/RingTheory/FractionalIdeal/Extended.lean,Mathlib/RingTheory/Polynomial/ContentIdeal.lean,Mathlib/RingTheory/Smooth/NoetherianDescent.lean,Mathlib/Topology/Category/Profinite/Nobeling/Successor.lean,Mathlib/Topology/Category/Profinite/Nobeling/ZeroLimit.lean,Mathlib/Topology/Compactness/SigmaCompact.lean,Mathlib/Topology/Connected/Basic.lean,Mathlib/Topology/Instances/CantorSet.lean,Mathlib/Topology/Irreducible.lean,Mathlib/Topology/UrysohnsLemma.lean |
46 |
7 |
['JovanGerb', 'YaelDillies', 'github-actions', 'kbuzzard', 'leanprover-radar', 'thorimur'] |
nobody |
2-73784 2 days ago |
9-53542 9 days ago |
9-54607 9 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'] |
nobody |
2-73620 2 days ago |
9-7046 9 days ago |
9-7040 9 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 |
2-72272 2 days ago |
2-72863 2 days ago |
2-73133 2 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)
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|
t-topology
tech debt
|
384/225 |
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 |
7 |
['github-actions', 'j-loreaux', 'mathlib-merge-conflicts', 'themathqueen'] |
ADedecker assignee:ADedecker |
2-71245 2 days ago |
2-72670 2 days ago |
18-42244 18 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 |
2-71189 2 days ago |
2-74447 2 days ago |
15-64131 15 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 |
2-64734 2 days ago |
13-57627 13 days ago |
13-66700 13 days |
| 41727 |
felixpernegger author:felixpernegger |
chore: remove redundant `have _` |
Removes most redundant `have _`. Some may remain, but i got to a point of diminishing returns.
Like #41716
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|
easy |
0/5 |
Mathlib/Algebra/MvPolynomial/Division.lean,Mathlib/RingTheory/ZMod/UnitsCyclic.lean,Mathlib/Topology/Algebra/FilterBasis.lean,Mathlib/Topology/Sheaves/Alexandrov.lean |
4 |
6 |
['felixpernegger', 'github-actions', 'leanprover-radar'] |
nobody |
2-64364 2 days ago |
2-65731 2 days ago |
2-65771 2 days |
| 40298 |
xroblot author:xroblot |
feat(Algebra/Algebra): add RingEquiv.toIntAlgEquiv and RingEquiv.toRatAlgEquiv |
Adds the `RingEquiv` analogues of `RingHom.toIntAlgHom` and `RingHom.toRatAlgHom`/`RingHom.equivRatAlgHom`:
- `RingEquiv.toIntAlgEquiv`: a `RingEquiv` between rings is canonically a `ℤ`-algebra isomorphism.
- `RingEquiv.toRatAlgEquiv` / `RingEquiv.equivRatAlgEquiv`: same for `ℚ`-algebras, giving `(R ≃+* S) ≃ (R ≃ₐ[ℚ] S)`.
(`equivRatAlgEquiv` can't carry `@[simps]` like `equivRatAlgHom` does, since `AlgEquiv.toRingEquiv` isn't a constructor application.)
:robot: This PR was extracted from the [SKW project](https://github.com/xroblot/SKW) by Claude. |
t-algebra label:t-algebra$ |
67/0 |
Mathlib/Algebra/Algebra/Equiv.lean,Mathlib/Algebra/Algebra/Hom/Rat.lean |
2 |
13 |
['github-actions', 'themathqueen', 'xroblot'] |
themathqueen assignee:themathqueen |
2-60814 2 days ago |
6-45660 6 days ago |
39-29168 39 days |
| 41733 |
luigi-massacci author:luigi-massacci |
feat: versions for LocallyIntegrable of LocallyIntegrableOn and mul/smul lemmas |
The title.
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|
t-analysis
easy
t-measure-probability
|
28/0 |
Mathlib/MeasureTheory/Function/LocallyIntegrable.lean |
1 |
2 |
['github-actions'] |
nobody |
2-58132 2 days ago |
2-58936 2 days ago |
2-58930 2 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 |
2-57060 2 days ago |
2-57060 2 days ago |
2-57065 2 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 |
2-53695 2 days ago |
28-82418 28 days ago |
28-83574 28 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 |
2-53517 2 days ago |
2-54093 2 days ago |
2-54087 2 days |
| 40641 |
ayhon author:ayhon |
feat: binder plicity code action |
A code action which allows users to switch between implicit and explicit binders.
Developed live during the [Meta Café](https://leanprover.zulipchat.com/#narrow/channel/579629-Event-announcements/topic/The.20Meta.20Caf.C3.A9/with/601800951) with the guidance of @thorimur and various others.
---
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t-meta
new-contributor
large-import
|
99/0 |
Mathlib.lean,Mathlib/Init.lean,Mathlib/Util/BinderPlicity.lean,MathlibTest/BinderPlicity.lean |
4 |
42 |
['ayhon', 'eric-wieser', 'github-actions', 'thorimur'] |
thorimur assignee:thorimur |
2-51897 2 days ago |
2-55016 2 days ago |
2-61260 2 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 |
2-51655 2 days ago |
2-53637 2 days ago |
56-62335 56 days |
| 41741 |
pechersky author:pechersky |
chore(Algebra/*/NonUnital*): split nonassoc and assoc nonunital `center` instances |
There is a diamond from how Subsemigroup.center defines mul and implies associativity and commutativity. So over a non-assoc parent type, the instance one gets differs than if you already had associativity. When/if we set up positive nat powers, there will be a diamond.
So at least prepare for that world by having the overriding instances in the "happy path" case.
---
---
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Discovered while working on https://github.com/leanprover-community/mathlib4/pull/40785.
Used GPT 5.6 Terra to classify hunks from the originating PR and do the cherry-pick operations. |
t-algebra
t-ring-theory
tech debt
label:t-algebra$ |
92/32 |
Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean,Mathlib/Algebra/Star/NonUnitalSubalgebra.lean,Mathlib/RingTheory/NonUnitalSubring/Basic.lean,Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean |
4 |
1 |
['github-actions'] |
nobody |
2-49356 2 days ago |
2-51642 2 days ago |
2-51636 2 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 |
2-47973 2 days ago |
2-52343 2 days ago |
2-52339 2 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 |
2-46819 2 days ago |
2-47826 2 days ago |
2-48222 2 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 |
2-40868 2 days ago |
2-40868 2 days ago |
16-32728 16 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
|
27/6 |
Mathlib/Analysis/InnerProductSpace/Reproducing.lean |
1 |
6 |
['TJHeeringa', 'github-actions', 'jkandel1'] |
nobody |
2-34790 2 days ago |
2-34790 2 days ago |
2-34784 2 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 |
2-34769 2 days ago |
11-63929 11 days ago |
34-46511 34 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/b37fd40b875cf862cea48dadd688cd82084cf50d/Compass/ConstructibleClosure.lean#L39-L102) were generated by Aristotle. The rest were written by me.
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|
documentation |
3/0 |
docs/100.yaml |
1 |
1 |
['github-actions'] |
nobody |
2-30689 2 days ago |
2-31541 2 days ago |
2-31535 2 days |
| 41749 |
felixpernegger author:felixpernegger |
chore: remove redudant `have`'s |
This PR removes most unused `have` statements in mathlib.
Some edge cases (Prop valued fields, have statements with arguments, etc) are not yet included (but this already took my computer 7 hours, so I will push that for later).
---
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|
|
4/364 |
Archive/Imo/Imo1998Q2.lean,Counterexamples/NowhereDifferentiable.lean,Mathlib/Algebra/Category/ModuleCat/Sheaf/Quasicoherent.lean,Mathlib/Algebra/ContinuedFractions/Computation/TerminatesIffRat.lean,Mathlib/Algebra/Homology/Factorizations/CM5a.lean,Mathlib/Algebra/Homology/SpectralObject/Basic.lean,Mathlib/Algebra/Homology/SpectralObject/HasSpectralSequence.lean,Mathlib/Algebra/Lie/Basis.lean,Mathlib/Algebra/Module/ZLattice/Basic.lean,Mathlib/Algebra/Module/ZLattice/Covolume.lean,Mathlib/Algebra/Order/BigOperators/Group/Finset.lean,Mathlib/Algebra/Order/CauSeq/BigOperators.lean,Mathlib/Algebra/Order/Floor/Ring.lean,Mathlib/Algebra/Order/Ring/WithTop.lean,Mathlib/Algebra/Polynomial/RuleOfSigns.lean,Mathlib/Algebra/Ring/Ext.lean,Mathlib/AlgebraicGeometry/FunctionField.lean,Mathlib/AlgebraicGeometry/Geometrically/Reduced.lean,Mathlib/AlgebraicGeometry/Group/Abelian.lean,Mathlib/AlgebraicGeometry/Modules/Tilde.lean,Mathlib/AlgebraicGeometry/Morphisms/QuasiFinite.lean,Mathlib/AlgebraicGeometry/OrderOfVanishing.lean,Mathlib/AlgebraicGeometry/QuasiAffine.lean,Mathlib/AlgebraicGeometry/StructureSheaf.lean,Mathlib/AlgebraicTopology/ModelCategory/BifibrantObjectHomotopy.lean,Mathlib/AlgebraicTopology/SimplicialSet/AnodyneExtensions/Inner/Basic.lean,Mathlib/AlgebraicTopology/SingularHomology/Basic.lean,Mathlib/Analysis/Calculus/FDeriv/Mul.lean,Mathlib/Analysis/Calculus/FDeriv/WithLp.lean,Mathlib/Analysis/Calculus/Taylor.lean,Mathlib/Analysis/InnerProductSpace/NormDet.lean,Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Analysis/Normed/Field/Krasner.lean,Mathlib/Analysis/Normed/Module/RCLike/Basic.lean,Mathlib/Analysis/Normed/Unbundled/SpectralNorm.lean,Mathlib/Analysis/Real/Pi/Irrational.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/Rpow/ConjSqrt.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/Rpow/RingInverseOrder.lean,Mathlib/Analysis/SpecialFunctions/Elliptic/Weierstrass.lean,Mathlib/Analysis/SpecialFunctions/Gamma/Beta.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/EulerSineProd.lean,Mathlib/CategoryTheory/Abelian/SerreClass/Localization.lean,Mathlib/CategoryTheory/ConcreteCategory/EpiMono.lean,Mathlib/CategoryTheory/EffectiveEpi/Comp.lean,Mathlib/CategoryTheory/Galois/Examples.lean,Mathlib/CategoryTheory/Generator/StrongGenerator.lean,Mathlib/CategoryTheory/Limits/Elements.lean,Mathlib/CategoryTheory/Limits/HasLimits.lean,Mathlib/CategoryTheory/Limits/Types/Pushouts.lean,Mathlib/CategoryTheory/LocallyCartesianClosed/ChosenPullbacksAlong.lean,Mathlib/CategoryTheory/Monoidal/Braided/Reflection.lean,Mathlib/CategoryTheory/MorphismProperty/CommaSites.lean,Mathlib/CategoryTheory/MorphismProperty/Limits.lean,Mathlib/CategoryTheory/Preadditive/Projective/Basic.lean,Mathlib/CategoryTheory/Presentable/CardinalFilteredPresentation.lean,Mathlib/CategoryTheory/Presentable/Retracts.lean,Mathlib/CategoryTheory/Sites/Coherent/LocallySurjective.lean,Mathlib/CategoryTheory/Sites/Continuous.lean,Mathlib/CategoryTheory/Sites/CoverPreserving.lean,Mathlib/CategoryTheory/Subobject/Limits.lean,Mathlib/CategoryTheory/Triangulated/Functor.lean,Mathlib/Combinatorics/Additive/VerySmallDoubling.lean,Mathlib/Combinatorics/SetFamily/AhlswedeZhang.lean,Mathlib/Combinatorics/SimpleGraph/Matching.lean,Mathlib/Condensed/Discrete/Characterization.lean,Mathlib/Condensed/Discrete/Colimit.lean,Mathlib/Data/Finset/Card.lean,Mathlib/Data/List/MinMax.lean,Mathlib/Data/List/PeriodicityLemma.lean,Mathlib/Data/Nat/Prime/Defs.lean,Mathlib/Data/Seq/Basic.lean,Mathlib/FieldTheory/Galois/IsGaloisGroup.lean,Mathlib/FieldTheory/NormalizedTrace.lean,Mathlib/FieldTheory/PurelyInseparable/Basic.lean,Mathlib/FieldTheory/PurelyInseparable/Tower.lean,Mathlib/FieldTheory/SeparablyGenerated.lean,Mathlib/Geometry/Euclidean/Angle/Bisector.lean,Mathlib/Geometry/Euclidean/Inversion/Basic.lean,Mathlib/Geometry/Manifold/VectorBundle/CovariantDerivative/Basic.lean,Mathlib/Geometry/Manifold/VectorBundle/LocalFrame.lean,Mathlib/GroupTheory/GroupAction/Jordan.lean,Mathlib/GroupTheory/GroupAction/SubMulAction/Combination.lean,Mathlib/GroupTheory/IndexNSmul.lean,Mathlib/GroupTheory/Perm/MaximalSubgroups.lean,Mathlib/LinearAlgebra/Charpoly/BaseChange.lean,Mathlib/LinearAlgebra/Determinant.lean,Mathlib/LinearAlgebra/Dimension/Constructions.lean,Mathlib/LinearAlgebra/PiTensorProduct/DirectSum.lean,Mathlib/LinearAlgebra/Trace.lean,Mathlib/LinearAlgebra/Transvection/Basic.lean,Mathlib/MeasureTheory/Function/ConditionalExpectation/CondJensen.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/AbsolutelyContinuousFun.lean,Mathlib/MeasureTheory/Measure/Stieltjes.lean,Mathlib/MeasureTheory/Measure/Typeclasses/ZeroOne.lean,Mathlib/MeasureTheory/VectorMeasure/Integral.lean,Mathlib/NumberTheory/Bernoulli.lean,Mathlib/NumberTheory/Cyclotomic/Basic.lean,Mathlib/NumberTheory/Cyclotomic/PrimitiveRoots.lean,Mathlib/NumberTheory/DirichletCharacter/Basic.lean |
189 |
10 |
['SnirBroshi', 'felixpernegger', 'github-actions', 'leanprover-radar'] |
nobody |
2-26167 2 days ago |
2-29197 2 days ago |
2-32950 2 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 |
9 |
['alreadydone', 'github-actions', 'leanprover-radar', 'plp127'] |
nobody |
2-25392 2 days ago |
3-55111 3 days ago |
4-17041 4 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 |
2-24117 2 days ago |
26-6444 26 days ago |
26-6438 26 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 |
2-23544 2 days ago |
2-25467 2 days ago |
76-77739 76 days |
| 41681 |
grunweg author:grunweg |
chore: ignore more revisions in .git-blame-ignore-revs |
There are surely more such PRs, but I won't hunt them all down. Having a way to sort such PRs by diff (and tackling the largest PRs first) would be nice.
---
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|
easy |
2/0 |
.git-blame-ignore-revs |
1 |
4 |
['SnirBroshi', 'github-actions'] |
nobody |
2-20938 2 days ago |
3-60499 3 days ago |
3-60493 3 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 |
2-18180 2 days ago |
2-20160 2 days ago |
38-30938 38 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 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
bryangingechen assignee:bryangingechen |
2-18086 2 days ago |
2-21065 2 days ago |
74-726 74 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 |
2-18043 2 days ago |
31-75050 31 days ago |
88-73293 88 days |
| 37376 |
NoneMore author:NoneMore |
feat(Topology/CantorBendixson): add iterated derived sets and perfect kernel |
Define the transfinite iteration of the relative derived-set operator via `gfpApprox` and introduce the perfect kernel of a set.
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AI disclosure: Most declarations, comments, and documentation in this PR were generated with Codex. Some proofs were structurally simplified using the `/golf` command from Lean 4 Skills. I reviewed the resulting code and documentation and can vouch for all submitted content.
- [x] depends on: #37374
- [x] depends on: #37375
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-topology
|
276/10 |
Mathlib.lean,Mathlib/SetTheory/Ordinal/FixedPointApproximants.lean,Mathlib/Topology/CantorBendixson.lean |
3 |
21 |
['NoneMore', 'fpvandoorn', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
ADedecker assignee:ADedecker |
2-18042 2 days ago |
29-48801 29 days ago |
29-49627 29 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 |
2-18041 2 days ago |
58-38120 58 days ago |
58-38114 58 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 |
2-18040 2 days ago |
24-54584 24 days ago |
40-36705 40 days |
| 41027 |
grunweg author:grunweg |
feat: sections of a fiber bundle with `Subsingleton` fiber are smooth and differentiable |
This will be used to prove that the Levi-Civita connection is smooth.
From the path towards the Levi-Civita connection and Riemannian geometry.
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|
t-differential-geometry |
55/0 |
Mathlib/Geometry/Manifold/VectorBundle/Basic.lean,Mathlib/Geometry/Manifold/VectorBundle/MDifferentiable.lean |
2 |
1 |
['github-actions'] |
sgouezel assignee:sgouezel |
2-18039 2 days ago |
21-70241 21 days ago |
21-70235 21 days |
| 41718 |
riccardobrasca author:riccardobrasca |
feat: add Bernoulli.dvd_den_bernoulli and related lemmas |
Let `p` be a prime and `k` a positive even integer divisible by `p-1`. We add various results about the divisibility by `p` of the numerator and denominator of the `k`-th Bernoulli number.
These results are important to build the `p`-adic zeta function.
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|
t-number-theory |
46/0 |
Mathlib/NumberTheory/Bernoulli.lean |
1 |
1 |
['github-actions'] |
loefflerd assignee:loefflerd |
2-18038 2 days ago |
2-85274 2 days ago |
2-85268 2 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 |
2-17314 2 days ago |
8-3322 8 days ago |
8-3316 8 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 |
2-17139 2 days ago |
74-61224 74 days ago |
74-61218 74 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'] |
nobody |
2-17136 2 days ago |
55-72000 55 days ago |
55-72594 55 days |
| 40911 |
rshlyakh author:rshlyakh |
feat(RingTheory/Ideal): add Algebra.HasGoingUp |
This closely mirrors `Mathlib/RingTheory/Ideal/GoingDown.lean` by defining an analogous predicate `Algebra.HasGoingUp` and proving basic properties. It includes:
- `Algebra.HasGoingUp.iff_specializingMap_primeSpectrumComap`: going up is equivalent
to specializations lifting along `Spec S → Spec R`.
- `Algebra.HasGoingUp.of_isIntegral`: integral algebras satisfy going up.
- `Ideal.exists_ltSeries_of_hasGoingUp`: a generalization of `exists_ideal_over_prime_of_isIntegral_of_isPrime` from `Mathlib/RingTheory/Ideal/GoingUp.lean` to chains of arbitrary length. This was previously an explicitly marked `TODO`.
---
I am unsure if this contribution should be in a separate file. Initially, I wanted to add it to the existing `Mathlib/RingTheory/Ideal/GoingUp.lean` file, but my theorem `Algebra.HasGoingUp.iff_specializingMap_primeSpectrumComap` requires the import `Mathlib.RingTheory.Spectrum.Prime.Topology`, which itself imports `Mathlib.RingTheory.Ideal.GoingUp.lean`. Advice on this would be appreciated.
LLM use: Codex was used to identify useful existing theorems in Mathlib and to check for typos/formatting issues. The theorem statements, proofs, and docstrings are human-written.
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t-ring-theory
new-contributor
|
135/2 |
Mathlib.lean,Mathlib/RingTheory/Ideal/GoingUp.lean,Mathlib/RingTheory/Ideal/HasGoingUp.lean |
3 |
15 |
['github-actions', 'riccardobrasca', 'robertylewis', 'rshlyakh'] |
nobody |
2-17134 2 days ago |
23-43243 23 days ago |
24-20735 24 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 |
2-15400 2 days ago |
2-54172 2 days ago |
2-54166 2 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 |
3 |
['JovanGerb', 'github-actions', 'leanprover-radar'] |
nobody |
2-14507 2 days ago |
2-16983 2 days ago |
2-18803 2 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 |
2-14230 2 days ago |
2-16000 2 days ago |
76-26606 76 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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|
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 |
2-13378 2 days ago |
7-39195 7 days ago |
70-28241 70 days |
| 41657 |
JovanGerb author:JovanGerb |
feat: `haveI`/`letI` tactic linter |
This PR implements a variation on the linter that was written by Claude in #41562. It suggest to use `have`/`let` instead of `haveI`/`letI` whenever the goal is a proposition.
See also https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/surprising.20have.2FhaveI.20kernel.20phenomenon/with/609718493
---
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|
t-linter |
131/22 |
Archive/Imo/Imo2008Q3.lean,Archive/Imo/Imo2019Q2.lean,Archive/Wiedijk100Theorems/BallotProblem.lean,Archive/Wiedijk100Theorems/CubingACube.lean,Archive/Wiedijk100Theorems/FriendshipGraphs.lean,Counterexamples/CliffordAlgebraNotInjective.lean,Counterexamples/Phillips.lean,Counterexamples/SorgenfreyLine.lean,Counterexamples/ZeroDivisorsInAddMonoidAlgebras.lean,Mathlib.lean,Mathlib/Init.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Linter/HaveILetI.lean,MathlibTest/InstanceDiamonds.lean,MathlibTest/Linter/HaveILetI.lean,MathlibTest/Tactic/ITauto.lean,MathlibTest/TransImports.lean |
17 |
6 |
['JovanGerb', 'Vierkantor', 'github-actions', 'thorimur'] |
nobody |
2-7762 2 days ago |
2-11018 2 days ago |
2-26960 2 days |
| 40473 |
karlesmarin author:karlesmarin |
feat(LinearAlgebra/Matrix): the Cauchy-Binet formula |
Adds the Cauchy–Binet formula. For `A : Matrix m n R` and `B : Matrix n m R` over a commutative ring, `det (A * B)` is the sum, over the `Fintype.card m`-element subsets `S` of `n`, of the product of the two maximal minors selected by `S`.
Main results:
* `Matrix.det_mul_eq_sum_det_submatrix_mul_prod` — the Leibniz-type expansion of `det (A * B)` over all index functions `g : m → n`.
* `Matrix.det_mul_cauchyBinet` — the Cauchy–Binet formula.
The proof expands over all `g : m → n`, discards the non-injective ones, and groups the rest by image.
|
|
199/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Matrix/Determinant/CauchyBinet.lean |
2 |
6 |
['github-actions', 'karlesmarin', 'mathlib-merge-conflicts', 'wwylele', 'yuanyi-350'] |
nobody |
2-6446 2 days ago |
2-6928 2 days ago |
36-13435 36 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 |
1-80776 1 day ago |
1-81721 1 day ago |
29-50930 29 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 |
1-77327 1 day ago |
3-69743 3 days ago |
3-72202 3 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 |
1-76246 1 day ago |
47-69423 47 days ago |
47-69417 47 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 |
1-75796 1 day ago |
26-20311 26 days ago |
26-20843 26 days |
| 40310 |
felixpernegger author:felixpernegger |
chore(Algebra): remove an `erw` |
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|
t-algebra
tech debt
label:t-algebra$ |
3/4 |
Mathlib/Algebra/Ring/Divisibility/Basic.lean |
1 |
10 |
['felixpernegger', 'github-actions', 'grunweg', 'j-loreaux', 'madvorak', 'mathlib-bors'] |
nobody |
1-74803 1 day ago |
27-59742 27 days ago |
28-86323 28 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 |
1-73665 1 day ago |
41-24644 41 days ago |
41-24638 41 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 |
1-69474 1 day ago |
1-72594 1 day ago |
29-26929 29 days |
| 41773 |
b-mehta author:b-mehta |
chore(SpecialFunctions/Log): fix naming typo |
This lemma used to be named `EReal.ENNReal.rpow_eq_exp_mul_log` which I presume was accidental and the name was intended to be `ENNReal.rpow_eq_exp_mul_log`, and so this PR renames accordingly.
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|
easy
t-analysis
|
7/3 |
Mathlib/Analysis/SpecialFunctions/Log/ENNRealLogExp.lean |
1 |
1 |
['github-actions'] |
nobody |
1-51914 1 day ago |
1-54006 1 day ago |
1-54000 1 day |
| 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 |
38 |
['Maldooor', 'github-actions', 'lua-vr', 'mcdoll', 'samueloettl'] |
nobody |
1-50177 1 day ago |
78-56489 78 days ago |
144-55296 144 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 |
1-48467 1 day ago |
1-50901 1 day ago |
3-18708 3 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 |
1-48231 1 day ago |
1-52909 1 day ago |
14-56092 14 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 |
1-47850 1 day ago |
1-50450 1 day ago |
1-50460 1 day |
| 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 |
1-47741 1 day ago |
1-51559 1 day ago |
1-51553 1 day |
| 41780 |
gasparattila author:gasparattila |
doc: fix the docstring of `IsTopologicalTorsor` |
The docstring incorrectly refers to `+ᵥ` and `-ᵥ` instead of their multiplicative versions.
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|
t-topology
easy
|
1/1 |
Mathlib/Topology/Algebra/Group/Torsor.lean |
1 |
2 |
['gasparattila', 'github-actions'] |
nobody |
1-47327 1 day ago |
1-50513 1 day ago |
1-50507 1 day |
| 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 |
1-47117 1 day ago |
1-51910 1 day ago |
1-51904 1 day |
| 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 |
1-46982 1 day ago |
1-50363 1 day ago |
1-51480 1 day |
| 39575 |
YaelDillies author:YaelDillies |
chore(Data/Finsupp): make `mapDomain_congr` congr |
This makes simp stronger. It particular, it breaks some proofs that relied on simp being weak.
From MeanFourier
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|
t-data |
31/38 |
Mathlib/Algebra/MonoidAlgebra/MapDomain.lean,Mathlib/Algebra/MonoidAlgebra/Module.lean,Mathlib/Algebra/MvPolynomial/Nilpotent.lean,Mathlib/Algebra/Polynomial/Laurent.lean,Mathlib/Data/Finsupp/Basic.lean,Mathlib/Geometry/Convex/ConvexSpace/Defs.lean,Mathlib/LinearAlgebra/Basis/Defs.lean,Mathlib/LinearAlgebra/Finsupp/Pi.lean,Mathlib/LinearAlgebra/Matrix/Basis.lean,Mathlib/NumberTheory/NumberField/EquivReindex.lean,Mathlib/NumberTheory/NumberField/House.lean,Mathlib/RepresentationTheory/Homological/GroupHomology/Functoriality.lean,Mathlib/RepresentationTheory/Intertwining.lean,Mathlib/RingTheory/Bialgebra/MonoidAlgebra.lean |
14 |
14 |
['YaelDillies', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts'] |
joneugster assignee:joneugster |
1-45762 1 day ago |
7-78705 7 days ago |
53-32043 53 days |
| 41787 |
felixpernegger author:felixpernegger |
chore: no `public def` inside `public section` etc |
Removes all the private/public keywords in front of a declaration, when we are already in a private/public section anyways. (no private ever appears)
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|
easy |
3/3 |
Mathlib/AlgebraicGeometry/StructureSheaf.lean,Mathlib/GroupTheory/SpecificGroups/Alternating/Simple.lean,MathlibTest/Util/AliasIn/AliasInModuleSystem.lean |
3 |
3 |
['felixpernegger', 'github-actions'] |
nobody |
1-39085 1 day ago |
1-39944 1 day ago |
1-40831 1 day |
| 41403 |
YaelDillies author:YaelDillies |
chore(Algebra/SkewMonoidAlgebra): deprecate `sum` |
One should just use `Finsupp.sum` instead.
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- [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 |
1-38896 1 day ago |
8-64159 8 days ago |
8-67755 8 days |
| 41789 |
SnirBroshi author:SnirBroshi |
chore(Combinatorics/SimpleGraph/Finite): fix `Fintype` instances in `edgeFinset_inf` |
Unlike `edgeFinset_sup`, `edgeFinset_inf` only accepts `Fintype` instances for `G` and `H` and not their inf, relying on the [`fintypeEdgeSetInf`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Combinatorics/SimpleGraph/Basic.html#SimpleGraph.fintypeEdgeSetInf) instance providing it.
This means the theorem can't be used with a different `Fintype (G₁ ⊓ G₂).edgeSet`.
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|
t-combinatorics
easy
|
2/1 |
Mathlib/Combinatorics/SimpleGraph/Finite.lean |
1 |
1 |
['github-actions'] |
nobody |
1-38253 1 day ago |
1-40228 1 day ago |
1-40222 1 day |
| 34278 |
gasparattila author:gasparattila |
feat(Topology/Sets): connectedness of `NonemptyCompacts` |
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|
t-topology |
122/0 |
Mathlib/Topology/Sets/VietorisTopology.lean |
1 |
12 |
['gasparattila', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'scholzhannah'] |
j-loreaux assignee:j-loreaux |
1-36709 1 day ago |
1-37214 1 day ago |
45-53604 45 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 |
1-35110 1 day ago |
1-35694 1 day ago |
1-35694 1 day |
| 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 |
1-33369 1 day ago |
1-33946 1 day ago |
1-33940 1 day |
| 41795 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Basic): `Disjoint` for graph sets |
---
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|
t-combinatorics |
39/2 |
Mathlib/Combinatorics/SimpleGraph/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Finite.lean |
2 |
1 |
['github-actions'] |
nobody |
1-32873 1 day ago |
1-33460 1 day ago |
1-33454 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 may require additional completeness hypotheses on the underlying manifold or model normed space (which this statement does not).
---
- [x] depends on: #40720
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|
t-differential-geometry |
51/12 |
Mathlib/Geometry/Manifold/Immersion.lean |
1 |
4 |
['github-actions', 'grunweg', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
1-31746 1 day ago |
1-32311 1 day ago |
1-35855 1 day |
| 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 |
1-29029 1 day ago |
1-51781 1 day ago |
1-51775 1 day |
| 40679 |
lua-vr author:lua-vr |
feat(Tactic): setm tactic |
The `setm` tactic matches a pattern containing named holes to the type of a target, and creates local declarations for the hole names whose values are the assigned expressions. By default, the target is the goal, but it can be selected to be a local declaration via the `using` syntax. Optionally, with the syntax `at loc`, it also rewrites at locations `loc` to replace the occurrences of the matched expressions with the newly-introduced local declarations.
---
This is a new version of #7890, inspired by @kmill's implementation in the Zulip [topic](https://leanprover.zulipchat.com/#narrow/channel/239415-metaprogramming-.2F-tactics/topic/Help.20with.20writing.20tactic.20.60setm.60/with/398226229). I tried to take into account the very helpful discussion there.
Since this is getting reviewed in the Meta Café, let's write a bit about it:
The first problem is that we would like to use named holes of the form `?abc` in the `setm` pattern syntax, but the elaborator for those synthetic holes will either reuse a metavariable that has the same user name, or create a metavariable of synthetic opaque type.
The first is undesirable because sometimes goal metavariables have common user names like `a` or `b`, which could conflict with names in the pattern and cause a lot of confusion.
The second is also undesirable for `setm` because synthetic opaque metavariables are never assigned by `isDefEq` (see [manual](https://leanprover-community.github.io/mathlib4_docs/Lean/MetavarContext.html)). This is good in some places such as `refine`, where we don't want Lean to be eager and solve any explicitly marked `?_` hole instead of creating a goal, but for our purposes we want the opposite.
So, the first step is to traverse the syntax of the `setm` pattern and create a new local declaration for each unique hole name in the pattern, each assigned to a fresh metavariable of natural kind. The declaration `FVarId`s are also collected in a `Array (Name × FVarId)`. The syntax of the holes is then replaced with the identifiers for the local declaration names.
Now, the second step is to elaborate the pattern in the context containing the new local declarations and unify it with the target. Since the pattern's elaborated expression already uses the `FVar`s by the previous replacement, we also replace the target with the unified expression, so that the occurrences there are "replaced" as well.
Finally, if specified, we act at the `at loc` by simply rewriting there with the equation for each declaration. This is not strictly necessary for the target, as it has been replaced in the previous step.
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|
t-meta |
264/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Common.lean,Mathlib/Tactic/Setm.lean,MathlibTest/Tactic/Setm.lean |
5 |
20 |
['SnirBroshi', 'github-actions', 'lua-vr', 'thorimur'] |
thorimur assignee:thorimur |
1-27809 1 day ago |
7-36218 7 days ago |
17-55679 17 days |
| 41797 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph): basic `Adj.toWalk` API |
---
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|
t-combinatorics |
26/3 |
Mathlib/Combinatorics/SimpleGraph/Connectivity/Subgraph.lean,Mathlib/Combinatorics/SimpleGraph/Paths.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Chord.lean |
4 |
1 |
['github-actions'] |
nobody |
1-27537 1 day ago |
1-28122 1 day ago |
1-28116 1 day |
| 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 |
1-26800 1 day ago |
1-27406 1 day ago |
1-27400 1 day |
| 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 |
1-24759 1 day ago |
1-27894 1 day ago |
1-27888 1 day |
| 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 |
1-24486 1 day ago |
3-24853 3 days ago |
3-57925 3 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 |
1-18048 1 day ago |
1-19923 1 day ago |
1-19917 1 day |
| 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 |
1-18042 1 day ago |
41-46626 41 days ago |
41-46620 41 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'] |
ADedecker assignee:ADedecker |
1-18041 1 day ago |
23-9914 23 days ago |
23-10154 23 days |
| 38815 |
dagurtomas author:dagurtomas |
feat(Tactic/CategoryTheory): extend `@[to_app]` to natural transformations |
This extends the `@[to_app]` attribute so it also generates componentwise lemmas from equalities of natural transformations between functors, while preserving the existing bicategory behavior. It also ensures generated component lemmas remain usable by dsimp when they are definitionally true. |
t-category-theory
LLM-generated
t-meta
|
148/22 |
Mathlib/Tactic/CategoryTheory/ToApp.lean,Mathlib/Util/AddRelatedDecl.lean,MathlibTest/CategoryTheory/ToApp.lean |
3 |
1 |
['github-actions'] |
nobody |
1-17140 1 day ago |
76-42640 76 days ago |
76-42688 76 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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[](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 |
1-17138 1 day ago |
39-57715 39 days ago |
39-58241 39 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 |
1-17137 1 day ago |
52-81280 52 days ago |
64-30790 64 days |
| 39505 |
dannyhe652 author:dannyhe652 |
feat(SimpleGraph): add Vizing's theorem for edge coloring |
Hi! I'm a high school student interested in formulization of mathematics in Lean. Recently, I have worked on a project to formulize Vizing Theorem with Daniel Raggi from Cambridge University with AI assistance. In particular, we first drafted an outline for the proof, and built the proof using Claude Opus 4.5 and 4.6. The proof is optimized using Aristotle and finally reviewed by ourselves. We rewrote some parts of the code and some comments. The code now builds cleanly and we wish this code to be reviewed by Lean Community. I am aware that there are previous attempts, some being successful, on formulizing Vizing Theorem, including this one by Arohee https://github.com/aroheebhoja/vizing. However, I believe that no PR have been made. Our proof is not based on his proof, but it could be helpful for the community to review that project as well. I sincerely thank everyone who has time to verify and review our code. A summary of the project is as follows. Please contact me if there are any questions or problems.
## Summary
This PR completes the proof of **Vizing's theorem** for edge coloring in simple graphs, proving that the chromatic index of any graph is either Δ (the maximum degree) or Δ + 1.
## Changes
### New files
- **`Mathlib/Combinatorics/SimpleGraph/Coloring/EdgeColoring.lean`** — Core definitions
- `edgeColoring`: Type for line graph colorings
- `edgeColorable`: Graph is edge-colorable with n colors
- `chromaticIndex`: Chromatic index as ℕ
- **`Mathlib/Combinatorics/SimpleGraph/Coloring/KempeChain.lean`** — Kempe Chain
- Coloring observables: `incidentEdges`, `incidentColors`, `missingColors`
- Kempe subgraph structure with bounded degree
- `swapKempe`: Recolor edges in a connected component via color-swapping
- **`Mathlib/Combinatorics/SimpleGraph/Coloring/VizingFan.lean`** — Vizing Fan Rotation
- `IsFan`: Vizing fan structure with special color properties
- Fan maximality and dichotomy on terminal vertices
- `rotate_termA`: Extend coloring when a free color exists at both endpoints
- `vizingAdjacencyLemma`: Main adjacency lemma for both cases
- **`Mathlib/Combinatorics/SimpleGraph/Coloring/VizingTheorem.lean`** — Main theorems
- `edge_eq_of_color_eq`: Proper edge colorings assign different colors to distinct edges sharing a vertex
- `maxDegree_le_chromaticIndex`: χ'(G) ≥ Δ(G)
- `chromaticIndex_bot`: Empty graph has chromatic index 0
- `vizingUpperBound_aux`: Inductive proof of upper bound on number of edge
- `vizingTheorem`: χ'(G) ∈ {Δ(G), Δ(G) + 1}
### Modified files
- `Mathlib.lean` — Added imports for the four new coloring modules
## Technical Approach
**Lower bound** (χ'(G) ≥ Δ):
- Edges incident to a max-degree vertex form a clique in the line graph
- Clique number lower-bounds chromatic number
**Upper bound** (χ'(G) ≤ Δ + 1):
- Induction on the number of edges
- Base case: empty graph colored with 0 colors
- Inductive step:
- If a free color exists at both endpoints of an edge, then extend directly
- Otherwise:
- Build a maximal fan from one endpoint
- Apply dichotomy: either extend via Term-A (free color at both endpoints) or Term-B (Kempe swap)
- Term-B uses a three-vertex connectivity argument to derive a contradiction, forcing the fan to extend
## Key Lemmas
- `incidentEdges`, `incidentColors`, `missingColors`: Coloring observables at vertices
- `kempeSubgraph`: Restricted subgraph of edges with two specific colors
- `swapKempe`: Recolor via Kempe chain swapping
- `IsFan.singleton`: Trivial fan always valid
- `IsFan.length_le_card`: Fan length is bounded by vertex count
- `IsFan.dichotomy`: Maximal fan satisfies Term-A or Term-B
- `IsFan.rotate_termA`: Term-A case extends the coloring inductively
- `vizingAdjacencyLemma`: Handles both cases for extending one edge
- `vizingUpperBound_aux`: Framework for full inductive proof
- `edge_eq_of_color_eq`: Distinctness of edges with same color
## Testing
All four modules compile with no `sorry` nor errors or warnings.
## References
* V. G. Vizing, *On an estimate of the chromatic class of a p-graph*,
Diskret. Analiz. 3 (1964), 25–30.
## Co-authors
Co-authored-by: Daniel Raggi <dr495@cam.ac.uk>
Co-authored-by: Aristotle (Harmonic) <aristotle-harmonic@harmonic.fun>
Co-authored-by: Claude Opus 4.5 & 4.6 <noreply@anthropic.com>
---
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|
t-combinatorics
new-contributor
LLM-generated
|
1913/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/EdgeColoring.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/KempeChain.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/VizingFan.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/VizingTheorem.lean |
5 |
4 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
1-17136 1 day ago |
27-78797 27 days ago |
48-54644 48 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 |
1-17135 1 day ago |
54-67423 54 days ago |
59-35867 59 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 |
1-17135 1 day ago |
56-64410 56 days ago |
57-25714 57 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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[](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 |
1-17134 1 day ago |
68-80856 68 days ago |
74-25158 74 days |
| 38856 |
SnirBroshi author:SnirBroshi |
feat(Order/ConditionallyCompleteLattice/Indexed): `iSup_iSup_eq_{left/right}` for `ConditionallyCompleteLinearOrderBot` |
and `≤` versions for `ConditionallyCompleteLattice`.
---
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|
t-order |
32/9 |
Mathlib/Order/CompleteLattice/Basic.lean,Mathlib/Order/ConditionallyCompleteLattice/Indexed.lean |
2 |
1 |
['github-actions'] |
nobody |
1-17133 1 day ago |
75-5585 75 days ago |
75-5579 75 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 |
1-17132 1 day ago |
58-55262 58 days ago |
68-29169 68 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 |
1-17132 1 day ago |
61-57270 61 days ago |
61-57624 61 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 |
1-17131 1 day ago |
62-14288 62 days ago |
62-22878 62 days |
| 39098 |
BoltonBailey author:BoltonBailey |
chore(Data/Vector): add `grind` to cons lemmas |
This PR affects `List.Vector.head_cons` and `List.Vector.tail_cons`. It moves the simp attribute assignment of these lemmas to the lemma declarations and also applies the `grind =` attribute.
---
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|
t-data |
2/2 |
Mathlib/Data/Vector/Basic.lean,Mathlib/Data/Vector/Defs.lean |
2 |
4 |
['BoltonBailey', 'github-actions', 'leanprover-radar'] |
nobody |
1-17130 1 day ago |
59-19349 59 days ago |
68-32973 68 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 |
1-17130 1 day ago |
59-35054 59 days ago |
59-35048 59 days |
| 39366 |
akiezun author:akiezun |
feat(Data/Nat): add prime divisibility for ascFactorial and choose |
Adds two prime-divisibility lemmas for natural-number factorial/binomial APIs.
The first characterizes when a prime divides an ascending factorial:
`Nat.Prime.dvd_ascFactorial_iff`.
The second applies this to binomial coefficients:
`Nat.Prime.dvd_choose_add_sub_one_iff`, using
`Nat.ascFactorial_eq_factorial_mul_choose'` and cancellation of the `n!` factor
when `n < p`.
---
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|
t-data
new-contributor
large-import
|
46/0 |
Mathlib.lean,Mathlib/Data/Nat/Choose/Consecutive.lean,Mathlib/Data/Nat/Factorial/BigOperators.lean |
3 |
9 |
['SnirBroshi', 'akiezun', 'github-actions', 'wwylele'] |
nobody |
1-17129 1 day ago |
59-42318 59 days ago |
63-52691 63 days |
| 39495 |
hawkrobe author:hawkrobe |
feat(Data/Multiset/Antidiagonal): `antidiagonal_add` and `map_swap_antidiagonal` |
Adds `map_swap_antidiagonal` and `antidiagonal_add`.
---
Fills out the API parallel to `Multiset.Nat.map_swap_antidiagonal` and `Finset.map_swap_antidiagonal`. (And adds `@[congr]` to `bind_congr`.)
Used for shuffle-coproduct constructions.
(#7486, I found this old [Zulip thread](https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/antidiagonals.20having.20multiplicity.20.237595/near/238573473))
I used Claude Code to audit and polish. |
t-data
new-contributor
LLM-generated
|
19/0 |
Mathlib/Data/Multiset/Antidiagonal.lean,Mathlib/Data/Multiset/Bind.lean |
2 |
8 |
['github-actions', 'hawkrobe', 'j-loreaux', 'mathlib-bors'] |
nobody |
1-17128 1 day ago |
22-43459 22 days ago |
60-37717 60 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 |
1-17125 1 day ago |
39-38583 39 days ago |
39-45135 39 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 |
1-17122 1 day ago |
52-34043 52 days ago |
69-34643 69 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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[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
|
25/0 |
Mathlib.lean,Mathlib/Data/Finite/Option.lean |
2 |
14 |
['AlexBrodbelt', 'github-actions', 'plp127', 'themathqueen'] |
nobody |
1-17122 1 day ago |
58-70863 58 days ago |
58-71471 58 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 |
1-14861 1 day ago |
1-15382 1 day ago |
8-84737 8 days |
| 37910 |
wwylele author:wwylele |
feat(Geometry/Euclidean): volume of a simplex |
This defines the volume of a simplex in Euclidean geometry, and shows that it agrees with measure theory. It also adds the basic set of lemmas (base-and-height formula, reindex, positivity, map, and restrict). Further properties of the volume will be in future PRs.
Three new file s are introduced and organized in the following dependency chain:
Def.lean -> MeasureSimplex.Lean -> Basic.lean
The Def.lean file has the definition only. MeasureSimplex.lean pulls in measure theory. Basic.lean publicly imports Def.lean, and privately imports MeasureSimplex.lean. When a downstream file imports Basic.lean, the measure theory part is not exposed and all properties of the volume is provided.
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|
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'] |
jsm28 assignee:jsm28 |
1-10196 1 day ago |
16-44007 16 days ago |
16-44474 16 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 |
1-10141 1 day ago |
6-14666 6 days ago |
10-53422 10 days |
| 41093 |
wwylele author:wwylele |
feat(Analysis): two codiscrete-equal meromorphic functions have codiscrete-equal derivatives |
---
AI usage disclosure: the first version of the proof was drafted by Aristotle
This lemma seems eligible for `@[gcongr]`. However I chose not to tag it because if I do, this `gcongr` will apply this to any goals that looks like `deriv f =ᶠ[codiscreteWithin U] deriv g` and generate side goals `MeromorphicOn`, even if the context has nothing to do with meromorphic functions.
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|
t-analysis |
18/0 |
Mathlib/Analysis/Meromorphic/IsolatedZeros.lean |
1 |
1 |
['github-actions'] |
j-loreaux assignee:j-loreaux |
1-10110 1 day ago |
20-10841 20 days ago |
20-10835 20 days |
| 41170 |
wwylele author:wwylele |
feat(Analysis): sum of sines and cosines |
Some elementary results that I find convenient to have
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|
t-analysis |
92/0 |
Mathlib.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Sum.lean |
2 |
2 |
['github-actions'] |
nobody |
1-10082 1 day ago |
17-13993 17 days ago |
17-14162 17 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 |
1-7103 1 day ago |
9-48953 9 days ago |
9-48947 9 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 |
1-6897 1 day ago |
5-44831 5 days ago |
5-44825 5 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 |
1-6713 1 day ago |
3-4097 3 days ago |
3-4194 3 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'] |
nobody |
1-6448 1 day ago |
12-79529 12 days ago |
12-79742 12 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'] |
nobody |
0-86198 23 hours ago |
7-69913 7 days ago |
7-70076 7 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 |
0-85633 23 hours ago |
0-86343 23 hours ago |
3-25501 3 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 |
0-82175 22 hours ago |
0-83528 23 hours ago |
33-83993 33 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 |
0-79944 22 hours ago |
5-53827 5 days ago |
6-1802 6 days |
| 41533 |
YaelDillies author:YaelDillies |
refactor: notation for `EventuallyEq` on `Set` |
Introduce notations `s =ᶠˢ[l] t`, `s ⊆ᶠ[l] t` `s =ᵐˢ[μ] t`. for `(· ∈ s) =ᶠ[l] (· ∈ t)`, `(· ∈ s) ≤ᶠ[l] (· ∈ t)`, `(· ∈ s) =ᵐ[μ] (· ∈ t)`.
Currently, the latter notations are being used to abuse the `Set α := α → Prop` defeq, 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.
Assisted-by: Claude Opus 4.8
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|
t-topology
LLM-generated
t-measure-probability
|
474/476 |
Mathlib/Algebra/Module/ZLattice/Basic.lean,Mathlib/Analysis/Analytic/Basic.lean,Mathlib/Analysis/BoxIntegral/Partition/Measure.lean,Mathlib/Analysis/Calculus/ContDiff/Defs.lean,Mathlib/Analysis/Calculus/ContDiff/FTaylorSeries.lean,Mathlib/Analysis/Calculus/ContDiff/Operations.lean,Mathlib/Analysis/Calculus/Deriv/Basic.lean,Mathlib/Analysis/Calculus/FDeriv/Congr.lean,Mathlib/Analysis/Calculus/FDeriv/Symmetric.lean,Mathlib/Analysis/Calculus/Gradient/Basic.lean,Mathlib/Analysis/Calculus/LineDeriv/Basic.lean,Mathlib/Analysis/Calculus/VectorField.lean,Mathlib/Analysis/SpecialFunctions/PolarCoord.lean,Mathlib/Dynamics/Ergodic/Action/Basic.lean,Mathlib/Dynamics/Ergodic/Action/OfMinimal.lean,Mathlib/Dynamics/Ergodic/AddCircle.lean,Mathlib/Dynamics/Ergodic/Conservative.lean,Mathlib/Dynamics/Ergodic/Ergodic.lean,Mathlib/Dynamics/Ergodic/RadonNikodym.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/Constructions/BorelSpace/Basic.lean,Mathlib/MeasureTheory/Constructions/Pi.lean,Mathlib/MeasureTheory/Covering/LiminfLimsup.lean,Mathlib/MeasureTheory/Function/ConditionalExpectation/AEMeasurable.lean,Mathlib/MeasureTheory/Function/ConvergenceInMeasure.lean,Mathlib/MeasureTheory/Function/Jacobian.lean,Mathlib/MeasureTheory/Function/JacobianOneDim.lean,Mathlib/MeasureTheory/Function/LpSpace/Indicator.lean,Mathlib/MeasureTheory/Function/StronglyMeasurable/AEStronglyMeasurable.lean,Mathlib/MeasureTheory/Group/AEStabilizer.lean,Mathlib/MeasureTheory/Group/Action.lean,Mathlib/MeasureTheory/Group/AddCircle.lean,Mathlib/MeasureTheory/Group/FundamentalDomain.lean,Mathlib/MeasureTheory/Integral/Average.lean,Mathlib/MeasureTheory/Integral/Bochner/Set.lean,Mathlib/MeasureTheory/Integral/CurveIntegral/Basic.lean,Mathlib/MeasureTheory/Integral/DivergenceTheorem.lean,Mathlib/MeasureTheory/Integral/IntegrableOn.lean,Mathlib/MeasureTheory/Integral/IntervalAverage.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/Basic.lean,Mathlib/MeasureTheory/Integral/Layercake.lean,Mathlib/MeasureTheory/Integral/Lebesgue/Basic.lean,Mathlib/MeasureTheory/MeasurableSpace/EventuallyMeasurable.lean,Mathlib/MeasureTheory/Measure/AEDisjoint.lean,Mathlib/MeasureTheory/Measure/Comap.lean,Mathlib/MeasureTheory/Measure/ContinuousPreimage.lean,Mathlib/MeasureTheory/Measure/EverywherePos.lean,Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean,Mathlib/MeasureTheory/Measure/NullMeasurable.lean,Mathlib/MeasureTheory/Measure/OpenPos.lean,Mathlib/MeasureTheory/Measure/Portmanteau.lean,Mathlib/MeasureTheory/Measure/Prod.lean,Mathlib/MeasureTheory/Measure/QuasiMeasurePreserving.lean,Mathlib/MeasureTheory/Measure/Real.lean,Mathlib/MeasureTheory/Measure/Restrict.lean,Mathlib/MeasureTheory/Measure/Typeclasses/Finite.lean,Mathlib/MeasureTheory/Measure/Typeclasses/NullSingletonClass.lean,Mathlib/MeasureTheory/Measure/Typeclasses/SFinite.lean,Mathlib/MeasureTheory/Measure/WithDensity.lean,Mathlib/MeasureTheory/OuterMeasure/AE.lean,Mathlib/MeasureTheory/OuterMeasure/BorelCantelli.lean,Mathlib/MeasureTheory/VectorMeasure/SetIntegral.lean,Mathlib/NumberTheory/NumberField/CanonicalEmbedding/Basic.lean,Mathlib/NumberTheory/NumberField/CanonicalEmbedding/NormLeOne.lean,Mathlib/NumberTheory/NumberField/CanonicalEmbedding/PolarCoord.lean,Mathlib/NumberTheory/WellApproximable.lean,Mathlib/Order/Filter/Basic.lean,Mathlib/Order/Filter/CardinalInter.lean,Mathlib/Order/Filter/CountableInter.lean,Mathlib/Order/Filter/CountableSeparatingOn.lean,Mathlib/Order/Filter/Defs.lean,Mathlib/Order/Filter/EventuallyConst.lean,Mathlib/Order/Filter/Finite.lean,Mathlib/Order/Filter/IndicatorFunction.lean,Mathlib/Probability/BorelCantelli.lean,Mathlib/Probability/Independence/Kernel/IndepFun.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 |
87 |
2 |
['SnirBroshi', 'github-actions'] |
nobody |
0-79799 22 hours ago |
2-31021 2 days ago |
2-35463 2 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 |
0-78793 21 hours ago |
0-78793 21 hours ago |
0-78787 21 hours |
| 40587 |
dennj author:dennj |
feat(MeasureTheory): weaken hypotheses on the continuity-multiplication and xˢ·exp(-xᵖ) integrability lemmas |
This is a generalization PR:
- IntervalIntegrable.{smul_continuousOn, continuousOn_smul} and the LocallyIntegrableOn analogues now need only IsBoundedSMul 𝕜 E instead of NormSMulClass 𝕜 E.
- 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.
Both follow from reproving these lemmas through the existing Integrable.bdd_mul/bdd_smul (since IntegrableOn f s μ = Integrable f (μ.restrict s)), which also makes the IntegrableOn.*_continuousOn(_of_subset) helpers redundant; they're removed. |
t-measure-probability
new-contributor
|
54/105 |
Mathlib/Analysis/SpecialFunctions/Gamma/Basic.lean,Mathlib/Analysis/SpecialFunctions/Gaussian/GaussianIntegral.lean,Mathlib/MeasureTheory/Function/LocallyIntegrable.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/Basic.lean |
4 |
6 |
['CoolRmal', 'RemyDegenne', 'dennj', 'github-actions'] |
CoolRmal assignee:CoolRmal |
0-77959 21 hours ago |
32-81439 32 days ago |
32-81433 32 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 |
29/1 |
Mathlib/GroupTheory/QuotientGroup/Basic.lean,Mathlib/GroupTheory/SpecificGroups/Cyclic.lean |
2 |
4 |
['github-actions', 'mathlib-merge-conflicts', 'plp127', 'xroblot'] |
nobody |
0-76438 21 hours ago |
0-77191 21 hours ago |
0-77342 21 hours |
| 41706 |
vlad902 author:vlad902 |
chore(*): fix flexible linter exceptions |
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tech debt |
19/56 |
Mathlib/Algebra/Ring/BooleanRing.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Affine/Formula.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Jacobian/Formula.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Projective/Formula.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/PosPart/Basic.lean,Mathlib/Analysis/SpecialFunctions/Integrability/Basic.lean,Mathlib/Combinatorics/SetFamily/FourFunctions.lean,Mathlib/Combinatorics/SimpleGraph/Regularity/Chunk.lean,Mathlib/Computability/TuringMachine/Config.lean,Mathlib/Control/EquivFunctor/Instances.lean,Mathlib/Geometry/Euclidean/Triangle.lean,Mathlib/InformationTheory/Coding/KraftMcMillan.lean,Mathlib/NumberTheory/LucasLehmer.lean,Mathlib/NumberTheory/PythagoreanTriples.lean,Mathlib/RingTheory/Nilpotent/Exp.lean |
15 |
2 |
['github-actions', 'vlad902'] |
nobody |
0-75368 20 hours ago |
0-76236 21 hours ago |
3-38941 3 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 |
0-74046 20 hours ago |
1-50039 1 day ago |
1-76718 1 day |
| 41625 |
felixpernegger author:felixpernegger |
chore: remove unused `haveI` and `letI` |
This PR removes all `haveI/letI` in proofs of theorems when they are actually redundant/unused. (like 11% of total) Excludes MathlibTest.
Note this PR does not touch any abbrevs/defs/instances yet (even Prop valued fields of those), to make it a bit safer we arent accidentally changing something.
Note: Most of these are now `have/let` and no longer `haveI/letI` which is due to #41708. But all removals here are disjoint from #41749.
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|
5/362 |
Mathlib/Algebra/Algebra/Subalgebra/Rank.lean,Mathlib/Algebra/BigOperators/Group/Finset/Basic.lean,Mathlib/Algebra/Category/ModuleCat/Monoidal/Adjunction.lean,Mathlib/Algebra/CharP/LocalRing.lean,Mathlib/Algebra/EuclideanDomain/Basic.lean,Mathlib/Algebra/EuclideanDomain/Defs.lean,Mathlib/Algebra/Homology/HomotopyCofiber.lean,Mathlib/Algebra/Order/GroupWithZero/Bounds.lean,Mathlib/Algebra/Squarefree/Basic.lean,Mathlib/AlgebraicGeometry/EllipticCurve/IsomOfJ.lean,Mathlib/AlgebraicGeometry/Normalization.lean,Mathlib/AlgebraicGeometry/Properties.lean,Mathlib/AlgebraicGeometry/SpreadingOut.lean,Mathlib/AlgebraicGeometry/StructureSheaf.lean,Mathlib/AlgebraicGeometry/ValuativeCriterion.lean,Mathlib/Analysis/Calculus/SmoothSeries.lean,Mathlib/Analysis/Convex/StdSimplex.lean,Mathlib/Analysis/Hofer.lean,Mathlib/Analysis/InnerProductSpace/Projection/FiniteDimensional.lean,Mathlib/Analysis/InnerProductSpace/l2Space.lean,Mathlib/Analysis/Normed/Module/FiniteDimension.lean,Mathlib/Analysis/Normed/Operator/Banach.lean,Mathlib/Analysis/Normed/Order/UpperLower.lean,Mathlib/Analysis/Normed/Unbundled/FiniteExtension.lean,Mathlib/Analysis/Seminorm.lean,Mathlib/CategoryTheory/Abelian/Basic.lean,Mathlib/CategoryTheory/Abelian/GrothendieckAxioms/Basic.lean,Mathlib/CategoryTheory/Abelian/Transfer.lean,Mathlib/CategoryTheory/Adjunction/Reflective.lean,Mathlib/CategoryTheory/Comma/Final.lean,Mathlib/CategoryTheory/Functor/Flat.lean,Mathlib/CategoryTheory/Galois/EssSurj.lean,Mathlib/CategoryTheory/Galois/Examples.lean,Mathlib/CategoryTheory/Galois/Topology.lean,Mathlib/CategoryTheory/Groupoid/Basic.lean,Mathlib/CategoryTheory/Limits/ConeCategory.lean,Mathlib/CategoryTheory/Limits/Constructions/WeaklyInitial.lean,Mathlib/CategoryTheory/Limits/FunctorCategory/Basic.lean,Mathlib/CategoryTheory/Limits/HasLimits.lean,Mathlib/CategoryTheory/Limits/Preserves/Finite.lean,Mathlib/CategoryTheory/Limits/Shapes/Images.lean,Mathlib/CategoryTheory/Limits/Shapes/StrictInitial.lean,Mathlib/CategoryTheory/Limits/VanKampen.lean,Mathlib/CategoryTheory/Localization/Adjunction.lean,Mathlib/CategoryTheory/Localization/CalculusOfFractions.lean,Mathlib/CategoryTheory/Localization/SmallHom.lean,Mathlib/CategoryTheory/Sites/Sheaf.lean,Mathlib/Combinatorics/Additive/ErdosGinzburgZiv.lean,Mathlib/Data/Multiset/ZeroCons.lean,Mathlib/Data/Nat/Totient.lean,Mathlib/FieldTheory/AxGrothendieck.lean,Mathlib/FieldTheory/ChevalleyWarning.lean,Mathlib/FieldTheory/Differential/Basic.lean,Mathlib/FieldTheory/Extension.lean,Mathlib/FieldTheory/Galois/Abelian.lean,Mathlib/FieldTheory/IntermediateField/Adjoin/Algebra.lean,Mathlib/FieldTheory/IntermediateField/Algebraic.lean,Mathlib/FieldTheory/KummerExtension.lean,Mathlib/FieldTheory/LinearDisjoint.lean,Mathlib/FieldTheory/PolynomialGaloisGroup.lean,Mathlib/FieldTheory/PurelyInseparable/Basic.lean,Mathlib/FieldTheory/PurelyInseparable/PerfectClosure.lean,Mathlib/FieldTheory/PurelyInseparable/Tower.lean,Mathlib/FieldTheory/Separable.lean,Mathlib/FieldTheory/SeparableDegree.lean,Mathlib/Geometry/Euclidean/NinePointCircle.lean,Mathlib/Geometry/Manifold/IsManifold/ExtChartAt.lean,Mathlib/Geometry/Manifold/WhitneyEmbedding.lean,Mathlib/GroupTheory/Schreier.lean,Mathlib/GroupTheory/SpecificGroups/Quaternion.lean,Mathlib/LinearAlgebra/AffineSpace/FiniteDimensional.lean,Mathlib/LinearAlgebra/Basis/VectorSpace.lean,Mathlib/LinearAlgebra/BilinearForm/DualLattice.lean,Mathlib/LinearAlgebra/DFinsupp.lean,Mathlib/LinearAlgebra/Dimension/Finite.lean,Mathlib/LinearAlgebra/Dimension/RankNullity.lean,Mathlib/LinearAlgebra/Dimension/StrongRankCondition.lean,Mathlib/LinearAlgebra/Dual/Lemmas.lean,Mathlib/LinearAlgebra/FiniteDimensional/Basic.lean,Mathlib/LinearAlgebra/FiniteDimensional/Lemmas.lean,Mathlib/LinearAlgebra/Finsupp/LinearCombination.lean,Mathlib/LinearAlgebra/Finsupp/Supported.lean,Mathlib/LinearAlgebra/FreeModule/Determinant.lean,Mathlib/LinearAlgebra/FreeModule/PID.lean,Mathlib/LinearAlgebra/LinearDisjoint.lean,Mathlib/LinearAlgebra/LinearIndependent/Basic.lean,Mathlib/LinearAlgebra/LinearIndependent/Lemmas.lean,Mathlib/LinearAlgebra/Matrix/Basis.lean,Mathlib/LinearAlgebra/Matrix/Block.lean,Mathlib/LinearAlgebra/Matrix/GeneralLinearGroup/Defs.lean,Mathlib/LinearAlgebra/Matrix/Irreducible/Defs.lean,Mathlib/LinearAlgebra/Matrix/NonsingularInverse.lean,Mathlib/LinearAlgebra/Matrix/ToLin.lean,Mathlib/LinearAlgebra/Multilinear/FiniteDimensional.lean,Mathlib/LinearAlgebra/QuadraticForm/Basic.lean,Mathlib/LinearAlgebra/RootSystem/GeckConstruction/Lemmas.lean,Mathlib/Logic/Nontrivial/Basic.lean,Mathlib/MeasureTheory/Constructions/BorelSpace/Order.lean,Mathlib/MeasureTheory/Covering/Differentiation.lean,Mathlib/MeasureTheory/Function/AEEqOfIntegral.lean |
175 |
25 |
['felixpernegger', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts', 'plp127'] |
nobody |
0-72919 20 hours ago |
0-76231 21 hours ago |
4-79147 4 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 |
290/24 |
Mathlib.lean,Mathlib/Analysis/Convex/Continuous.lean,Mathlib/InformationTheory/KullbackLeibler/DataProcessing.lean,Mathlib/MeasureTheory/Measure/Decomposition/IntegralRNDeriv.lean |
4 |
15 |
['EtienneC30', 'RemyDegenne', 'VictorBoscaro', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib-splicebot'] |
EtienneC30 assignee:EtienneC30 |
0-71775 19 hours ago |
0-72927 20 hours ago |
15-73153 15 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 |
0-71734 19 hours ago |
1-27666 1 day ago |
1-27660 1 day |
| 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 |
0-67258 18 hours ago |
7-65847 7 days ago |
11-24168 11 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 |
44/36 |
Mathlib/NumberTheory/NumberField/AdeleRing.lean,Mathlib/NumberTheory/NumberField/InfiniteAdeleRing.lean,Mathlib/RingTheory/DedekindDomain/FiniteAdeleRing.lean |
3 |
3 |
['MichaelStollBayreuth', 'github-actions', 'mathlib-merge-conflicts'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
0-66806 18 hours ago |
2-84084 2 days ago |
34-52849 34 days |
| 41461 |
teorth author:teorth |
feat(NumberTheory/SumPrimeReciprocals): represent sums/products over Nat.Primes as sums/products over Nat |
Add `Nat.Primes.tsum_eq_tsum_ite`: `∑' p : Nat.Primes, f p = ∑' n, if n.Prime then f n else 0`, reindexing a sum over the prime subtype as a sum over `ℕ` with composite terms zeroed. A thin consequence of `tsum_subtype`, used downstream in the Meissel-Mertens constant development. Analogous lemmas for `Summable` and `HasSum` also added, as well as multiplicative versions.
---
Discussed in https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/What.27s.20the.20correct.20way.20to.20show.20this.20trivial.20summation.20lemma.3F . There were several technical blockers one had to dodge in order to prove this directly via `tsum_subtype`:
- `rw` cannot replace `Nat.Primes` with the defeq `↑{n | Nat.Prime n}` (using `Set.coe_setOf`) due to motive correctness issues, although other tactics such as `rw!`, `simp`, or `simp_rw` can handle it.
- Due to issues with how to resolve decidability of set membership, `Set.indicator {n | Nat.Prime n} f n` is not defeq to `if n.Prime then f n else 0`. One needs to resolve this either with a `congr!` type tactic, or via `Set.indicator_apply`.
Placed in `SumPrimeReciprocals`, which was an existing file that handled infinite sums over primes.
The code was initially human-generated (contributed by Snir Broshi), but AI was used to modify the code (but then subsequently reviewed by myself).
[](https://gitpod.io/from-referrer/)
|
t-number-theory
maintainer-merge
|
30/0 |
Mathlib/NumberTheory/SumPrimeReciprocals.lean |
1 |
3 |
['MichaelStollBayreuth', 'github-actions'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
0-66117 18 hours ago |
9-27687 9 days ago |
9-35438 9 days |
| 41701 |
kbuzzard author:kbuzzard |
perf: golf Ideal.powQuotSuccInclusion_injective |
The old proof abuses defeq in a subtle way, which makes painful reading for the kernel. This one is easier to swallow.
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Claude says:
The old proof's last line is `rwa [powQuotSuccInclusion_apply_coe] at hx0`. At that point the goal and hypothesis are:
```
hx0 : ↑⟨x, hx⟩ = ↑0 -- this 0 lives in ↥(map (mk (P^e)) (P^i))
⊢ ↑⟨x, hx⟩ = ↑0 -- this 0 lives in ↥(map (mk (P^e)) (P^(i+1)))
```
They pretty-print identically, but they are different terms: the two zeros belong to different submodules. The assumption inside rwa closes the goal by unifying them purely by defeq. The elaborator does that cheaply — reducible transparency plus a cached isDefEq — but the kernel has none of that. It has to unfold both submodules' entire Zero/Module instance towers (through Submodule.module', the restrictScalars chain, Algebra.toSMul, and the Algebra (R ⧸ p) (S ⧸ P^e) instance built out of Ideal.Quotient.lift) all the way down to 0 : S ⧸ P^e, twice, and confirm they agree.
Measured: kernel typechecking was 1.79s, against ~10ms to elaborate. |
t-number-theory
LLM-generated
|
2/4 |
Mathlib/NumberTheory/RamificationInertia/Basic.lean |
1 |
5 |
['MichaelStollBayreuth', 'Whysoserioushah', 'github-actions', 'kbuzzard', 'leanprover-radar'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
0-66028 18 hours ago |
3-47957 3 days ago |
3-47951 3 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 |
0-65344 18 hours ago |
5-62959 5 days ago |
5-62953 5 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 |
0-64671 17 hours ago |
2-58798 2 days ago |
2-58792 2 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 |
0-62757 17 hours ago |
0-63823 17 hours ago |
3-79044 3 days |
| 41704 |
plp127 author:plp127 |
perf(FieldTheory/CardinalEmb): golf `succEquiv_coherence` |
Replace a big `simp` with `rfl`, which speeds up kernel typechecking and removes a `set_option backward.isDefEq.respectTransparency false`. Remove two `have` lines in `instance (i : ι) : Algebra.IsSeparable (E⟮<i⟯) (E⟮<i⟯⟮b (φ i)⟯)` which speeds up kernel typechecking. See [Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/kernelbarfing.20in.20mathlib/near/609873490).
---
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|
t-algebra
tech debt
label:t-algebra$ |
1/7 |
Mathlib/FieldTheory/CardinalEmb.lean |
1 |
5 |
['github-actions', 'grunweg', 'kbuzzard', 'leanprover-radar'] |
nobody |
0-61725 17 hours ago |
3-45034 3 days ago |
3-45028 3 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 |
0-61635 17 hours ago |
3-45809 3 days ago |
3-45803 3 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 |
0-60887 16 hours ago |
14-39676 14 days ago |
14-73317 14 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 |
0-60832 16 hours ago |
23-42091 23 days ago |
62-72476 62 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 |
0-59914 16 hours ago |
0-61457 17 hours ago |
0-61451 17 hours |
| 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
|
74/0 |
Mathlib/Analysis/Complex/CauchyIntegral.lean |
1 |
1 |
['github-actions'] |
nobody |
0-56213 15 hours ago |
0-56213 15 hours ago |
0-56207 15 hours |
| 41021 |
joelriou author:joelriou |
feat(CategoryTheory/Monoidal): functors that are isomorphic to lax/oplax/monoidal functors also are |
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|
t-category-theory |
90/2 |
Mathlib/CategoryTheory/Monoidal/Functor.lean |
1 |
4 |
['github-actions', 'joelriou', 'mathlib-merge-conflicts', 'robin-carlier'] |
robin-carlier assignee:robin-carlier |
0-56026 15 hours ago |
0-59159 16 hours ago |
21-15514 21 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`, suppressing `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 help play 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 |
0-55801 15 hours ago |
0-82476 22 hours ago |
0-82501 22 hours |
| 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 |
0-55571 15 hours ago |
25-52579 25 days ago |
162-56321 162 days |
| 38316 |
tannerduve author:tannerduve |
feat(Order/OmegaCompletePartialOrder): least fixed point and Scott induction |
Adds `ContinuousHom.lfp` for endomorphisms on an ωCPO with `⊥`, as the `ωSup` of the iterate chain from `⊥`, together with `map_lfp`, `isFixedPt_lfp`, `lfp_le_fixed`, `isLeast_lfp`, and the Scott induction theorem `lfp_induction` (specialized from a more general seed-based `ωSup_iterate_induction`).
For `Part.fix`, adds:
* `Part.exists_mem_approx_of_mem_fix`: if `y ∈ Part.fix g x`, some finite approximation of `g` already contains `y`.
* `Part.Fix.approx_eq_iterate_bot` and `Part.Fix.approxChain_eq_iterateChain`: bridges between `Fix.approx`/`approxChain` and `f^[n] ⊥`/`iterateChain`.
* `Part.fix_eq_lfp`: `Part.fix g = ContinuousHom.lfp (.ofFun g hc)` when `g` is ω-Scott continuous.
* `Part.fix_scott_induction`: Scott induction specialized to `Part.fix`.
* `Part.fix_induction_mem`: membership induction on `Part.fix`, derived from `fix_scott_induction`. |
new-contributor |
114/0 |
Mathlib/Control/LawfulFix.lean,Mathlib/Order/OmegaCompletePartialOrder.lean,docs/references.bib |
3 |
2 |
['github-actions'] |
b-mehta assignee:b-mehta |
0-55205 15 hours ago |
87-17613 87 days ago |
87-18133 87 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'] |
dagurtomas assignee:dagurtomas |
0-54665 15 hours ago |
12-34252 12 days ago |
15-26094 15 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'] |
dagurtomas assignee:dagurtomas |
0-54407 15 hours ago |
16-71869 16 days ago |
16-71863 16 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'] |
dagurtomas assignee:dagurtomas |
0-54308 15 hours ago |
16-2129 16 days ago |
16-72474 16 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'] |
dagurtomas assignee:dagurtomas |
0-54104 15 hours ago |
16-73635 16 days ago |
16-73629 16 days |
| 38310 |
ZRTMRH author:ZRTMRH |
feat(Combinatorics/Quiver/Schreier): word evaluation and reachability |
Adds word evaluation and reachability results to the Schreier graph API.
* `SchreierGraph.evalWord` : evaluates a word `List (S × Bool)` as an element of the ambient group, where `(s, true)` contributes `ι s` and `(s, false)` contributes `(ι s)⁻¹`.
* `SchreierGraph.evalWord_eq_lift` : agreement with `FreeGroup.lift`.
* `SchreierGraph.evalWord_mem_closure` : every word evaluates into the subgroup generated by `ι`.
* `SchreierGraph.pathFromWord` : a Bool-tagged word yields a path in `Symmetrify (SchreierGraph V ι)` from `x` to `evalWord ι w • x`.
* `SchreierGraph.reachable_iff` : two vertices are connected by a path in the symmetrification iff some element of the subgroup closure carries one to the other.
Follow-up to #36320.
This PR was written with AI assistance (Claude). The code has been reviewed by the author.
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|
new-contributor
t-combinatorics
large-import
LLM-generated
|
158/0 |
Mathlib/Combinatorics/Quiver/Schreier.lean |
1 |
10 |
['YaelDillies', 'ZRTMRH', 'github-actions'] |
YaelDillies assignee:YaelDillies |
0-53802 14 hours ago |
0-54176 15 hours ago |
85-50795 85 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'] |
dagurtomas assignee:dagurtomas |
0-53713 14 hours ago |
16-56507 16 days ago |
16-73915 16 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 |
0-53504 14 hours ago |
12-63090 12 days ago |
16-30767 16 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 |
0-51752 14 hours ago |
1-52453 1 day ago |
83-18101 83 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 |
0-49474 13 hours ago |
0-54877 15 hours ago |
0-54871 15 hours |
| 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'] |
themathqueen assignee:themathqueen |
0-47175 13 hours ago |
0-69098 19 hours ago |
45-16212 45 days |
| 41805 |
bryangingechen author:bryangingechen |
chore(Tactic/Algebra): pin Lemmas import with `shake: keep` |
The `algebra` tactic references the lemmas in `Mathlib.Tactic.Algebra.Lemmas` (`isNat_zero_eq`, `add_algebraMap`, `neg_algebraMap`, ...) only inside `q(...)` Qq quotations. These references are reflected as name data, not `Expr.const` nodes, so `lake shake` cannot see them and removes the import.
This PR marks the import `-- shake: keep`, as is already done for the same Qq-output-dependency situation in e.g. `Mathlib/Tactic/TFAE.lean` and `Mathlib/Tactic/ITauto.lean`.
This was found while investigating the breakage in #40343.
Prepared with Claude code.
---
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|
easy
t-meta
|
1/1 |
Mathlib/Tactic/Algebra/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
0-45930 12 hours ago |
0-49021 13 hours ago |
0-52161 14 hours |
| 41794 |
ajirving author:ajirving |
style: fix by on newline |
Fixes some instances of by being on a newline or the first line of the
proof rather than the final line of the declaration (as required by
Mathlib style).
---
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|
easy |
34/33 |
Mathlib/Algebra/Homology/Factorizations/CM5a.lean,Mathlib/Algebra/SkewPolynomial/Basic.lean,Mathlib/AlgebraicTopology/SimplexCategory/GeneratorsRelations/Basic.lean,Mathlib/Analysis/InnerProductSpace/Projection/Minimal.lean,Mathlib/Analysis/InnerProductSpace/SingularValues.lean,Mathlib/CategoryTheory/Sites/Descent/DescentDataAsCoalgebra.lean,Mathlib/Geometry/Convex/Cone/Dual.lean,Mathlib/Geometry/Convex/Cone/Face/Basic.lean,Mathlib/Geometry/Euclidean/Circumcenter.lean,Mathlib/Geometry/Euclidean/Simplex.lean,Mathlib/GroupTheory/Index.lean,Mathlib/MeasureTheory/Integral/CircleAverage.lean,Mathlib/NumberTheory/LSeries/ZetaZeros.lean,Mathlib/NumberTheory/SelbergSieve.lean,Mathlib/RingTheory/Polynomial/DegreeLT.lean |
15 |
6 |
['ajirving', 'felixpernegger', 'github-actions'] |
nobody |
0-45199 12 hours ago |
0-49898 13 hours ago |
0-55332 15 hours |
| 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 |
0-44562 12 hours ago |
2-59836 2 days ago |
2-59830 2 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 |
0-44380 12 hours ago |
8-7894 8 days ago |
8-7888 8 days |
| 41807 |
bryangingechen author:bryangingechen |
chore(Tactic/NormNum): pin Lean.Elab.Tactic.Try import with `shake: keep` |
`Core.lean` uses the `register_try?_tactic` command, which is a builtin command that checks whether `Lean.Elab.Tactic.Try` is imported and, if not, logs a warning and returns without registering anything. Using a command is not a constant reference, so `lake shake` cannot see the dependency and replaces the import with the lighter `Lean.Meta.Tactic.Try.Collect`; this silently turns `register_try?_tactic norm_num` into a no-op (only a build warning, no error).
This PR marks the import `-- shake: keep`.
This was found while investigating the breakage in #40343.
Prepared with Claude code.
---
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|
easy
t-meta
|
1/1 |
Mathlib/Tactic/NormNum/Core.lean |
1 |
1 |
['github-actions'] |
nobody |
0-44234 12 hours ago |
0-49025 13 hours ago |
0-52097 14 hours |
| 41230 |
fernando-m-reich author:fernando-m-reich |
feat(Topology/Algebra/Group/Basic): add eq_of_tendsto_div_nhds_one |
Adds `tendsto_div_nhds_one_iff_eq` to `Topology.Algebra.Group.Basic`, next to
`tendsto_div_nhds_one_iff`: for functions into a Hausdorff topological group,
if `f → a` and `g → b` along a nontrivial filter, then `f / g → 1` if and only
if `a = b`. The implication `eq_of_tendsto_div_nhds_one` is kept as an `alias`,
and the additive versions are generated by `@[to_additive]`. Also adds the
`GroupWithZero`/`ContinuousInv₀` variant `tendsto_div_nhds_one_iff_eq₀`
(assuming `b ≠ 0`), with its implication alias `eq_of_tendsto_div_nhds_one₀`,
in `Topology.Algebra.GroupWithZero`.
10.5281/zenodo.21098144
---
I used ChatGPT for some preparation help. I reviewed the final Lean code myself.
|
t-topology
new-contributor
|
24/0 |
Mathlib/Topology/Algebra/Group/Basic.lean,Mathlib/Topology/Algebra/GroupWithZero.lean |
2 |
21 |
['felixpernegger', 'fernando-m-reich', 'github-actions', 'j-loreaux', 'wwylele'] |
nobody |
0-43529 12 hours ago |
5-26957 5 days ago |
12-10741 12 days |
| 41825 |
marcelolynch author:marcelolynch |
ci: don't fail fork post-build cache verify on "expected" cache invalidations |
The `post_steps` "verify that everything was available in the cache" step reads the cache back with the PR branch's own `lake exe cache get`, while CI writes it with master's `cache` binary.
For fork PRs those are different binaries, so a PR that changes the cache tool's key space (e.g. a `rootHashGeneration` bump in a toolchain bump) reads a different key space than the one the cache was written under and misses every file, hard-failing a build whose cache is in fact correct.
Make the verify step warn-and-continue on such a miss, but only when it is an expected key-space invalidation: the build is a fork PR (`github.event.pull_request.head.repo.fork`, the same signal that sends the write path to master's binary) and this PR's `Cache/` differs from master's.
Every non-fork build (master, bors, dev branches) reads and writes with one binary, so a miss there is a hard failure, as is an unchanged `Cache/` or an unavailable baseline.
|
CI |
61/11 |
.github/workflows/build_template.yml |
1 |
1 |
['github-actions'] |
nobody |
0-41895 11 hours ago |
0-45037 12 hours ago |
0-45031 12 hours |
| 34815 |
Deep0Thinking author:Deep0Thinking |
feat(Analysis/SpecialFunctions/ImproperIntegrals): Frullani integral |
- [x] depends on: #34966
---
Add a proof of **Frullani integral**.
Main theorems:
- `Frullani.integral_Ioi`
- `IntegrableOn.tendsto_integral_Ioi`
- `exists_integral_div_eq_mul_log`
Supporting lemmas:
- `Frullani.comp_mul_left_div`
- `Frullani.intervalIntegrable_div`
- `Frullani.exists_integral_div_eq_mul_log`
- `Ioi_diff_Ioc`
- `ContinuousOn.comp_mul_left_div`, `ContinuousOn.comp_mul_right_div`
- `ContinuousOn.comp_mul_left`, `ContinuousOn.comp_mul_right`
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-analysis
|
252/3 |
Mathlib.lean,Mathlib/Analysis/SpecialFunctions/FrullaniIntegral.lean,Mathlib/Analysis/SpecialFunctions/ImproperIntegrals.lean |
3 |
22 |
['CoolRmal', 'Deep0Thinking', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'sgouezel'] |
urkud assignee:urkud |
0-41713 11 hours ago |
2-23540 2 days ago |
15-67835 15 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 |
0-38768 10 hours ago |
0-38768 10 hours ago |
5-19359 5 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 |
0-38157 10 hours ago |
0-80492 22 hours ago |
0-82945 23 hours |
| 41828 |
archiebrowne author:archiebrowne |
feat(RingTheory/HopfAlgebra/Basic): 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 |
0-37500 10 hours ago |
0-39860 11 hours ago |
0-40896 11 hours |
| 40288 |
Nicola9Falciola author:Nicola9Falciola |
feat(Algebra/FreeAbelianGroup/Finsupp): rw a as sum over the elements in its support |
API for FreeAbelianGroup, a can rw as a sum over the elements in its support
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|
t-algebra
new-contributor
label:t-algebra$ |
5/0 |
Mathlib/Algebra/FreeAbelianGroup/Finsupp.lean |
1 |
7 |
['github-actions', 'plp127', 'themathqueen'] |
themathqueen assignee:themathqueen |
0-37210 10 hours ago |
5-49166 5 days ago |
40-69318 40 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 |
0-35780 9 hours ago |
2-16332 2 days ago |
7-34310 7 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 |
0-34231 9 hours ago |
0-38330 10 hours ago |
14-61062 14 days |
| 41213 |
tb65536 author:tb65536 |
chore(GroupTheory/Torsion): rename `IsTorsion` to `IsMulTorsion` |
`GroupTheory/Torsion.lean` has some bad to_additive translations. This PR fixes this by renaming `Monoid.IsTorsion` to `IsMulTorsion` and `AddMonoid.IsTorsion` to `IsAddTorsion`. This also aligns better with `IsMulTorsionFree` and `IsAddTorsionFree`.
This PR has a lot of deprecations, but you can check the lean-aware declarations diff to make sure I didn't miss anything.
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|
t-algebra
t-group-theory
label:t-algebra$ |
177/96 |
Mathlib/Algebra/Module/Torsion/Basic.lean,Mathlib/GroupTheory/FiniteAbelian/Basic.lean,Mathlib/GroupTheory/Torsion.lean |
3 |
36 |
['Multramate', 'github-actions', 'tb65536'] |
Multramate assignee:Multramate |
0-33884 9 hours ago |
15-54656 15 days ago |
15-73113 15 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 |
0-33692 9 hours ago |
0-38378 10 hours ago |
0-38372 10 hours |
| 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 |
0-33295 9 hours ago |
0-38112 10 hours ago |
0-38106 10 hours |
| 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: William Coram
Co-authored-by: Samuel Yin
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|
new-contributor
large-import
t-analysis
|
186/81 |
Mathlib/Analysis/SpecificLimits/Normed.lean,Mathlib/Combinatorics/Enumerative/Stirling.lean,Mathlib/Data/Nat/Factorial/Basic.lean |
3 |
30 |
['Mal-Pat', 'YaelDillies', 'github-actions', 'grunweg', 'pepamontero'] |
nobody |
0-33054 9 hours ago |
0-33054 9 hours ago |
5-55998 5 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, chrisflav, scholzhannah assignee:PatrickMassot assignee:scholzhannah assignee:chrisflav |
0-32892 9 hours ago |
8-39644 8 days ago |
32-33666 32 days |
| 38141 |
Jun2M author:Jun2M |
feat(Order/Partition): the partition induced by a symmetric transitive relation |
We introduce a constructor for Partition from a symmetric, transitive relation, with `copy` function baked into the definition.
Co-authored-by: Peter Nelson <apn.uni@gmail.com>
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|
t-order
maintainer-merge
|
43/4 |
Mathlib/Order/Partition/Basic.lean |
1 |
6 |
['SnirBroshi', 'YaelDillies', 'github-actions'] |
nobody |
0-32727 9 hours ago |
0-37092 10 hours ago |
90-60775 90 days |
| 40344 |
FMLJohn author:FMLJohn |
feat(RingTheory/Adjoin/Polynomial/Basic): `Algebra.adjoin_mem_exists_aeval'` and `Algebra.adjoin_eq_exists_aeval'` |
---
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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`. |
t-ring-theory |
19/0 |
Mathlib/RingTheory/Adjoin/Polynomial/Basic.lean |
1 |
3 |
['github-actions', 'plp127'] |
themathqueen assignee:themathqueen |
0-32707 9 hours ago |
38-38094 38 days ago |
38-58046 38 days |
| 41149 |
TJHeeringa author:TJHeeringa |
feat(Analysis/Normed): add additional symm lemmas |
`Equiv` and `LinearEquiv` have the symm lemmas `apply_eq_iff_symm_apply`, `symm_apply_eq` and `eq_symm_apply`. This adds those lemmas for `LinearIsometryEquiv`.
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|
t-analysis |
92/3 |
Mathlib/Algebra/AddConstMap/Equiv.lean,Mathlib/Algebra/Group/Action/Equidecomp.lean,Mathlib/Algebra/Lie/Basic.lean,Mathlib/Algebra/Star/StarAlgHom.lean,Mathlib/Analysis/Normed/Affine/Isometry.lean,Mathlib/Analysis/Normed/Operator/LinearIsometry.lean,Mathlib/Data/PEquiv.lean,Mathlib/LinearAlgebra/QuadraticForm/IsometryEquiv.lean,Mathlib/Logic/Equiv/PartialEquiv.lean,Mathlib/MeasureTheory/MeasurableSpace/Embedding.lean,Mathlib/Topology/Homeomorph/Defs.lean,Mathlib/Topology/MetricSpace/DilationEquiv.lean |
12 |
23 |
['TJHeeringa', 'github-actions', 'themathqueen'] |
nobody |
0-32645 9 hours ago |
4-80812 4 days ago |
11-70974 11 days |
| 41823 |
tb65536 author:tb65536 |
feat(Combinatorics/Design/Defs): definitions of combinatorial designs |
This PR adds the definitions of combinatorial designs.
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|
t-combinatorics |
141/0 |
Mathlib.lean,Mathlib/Combinatorics/Design/Defs.lean |
2 |
1 |
['github-actions'] |
nobody |
0-32073 8 hours ago |
0-32128 8 hours ago |
0-32123 8 hours |
| 40746 |
martinwintermath author:martinwintermath |
feat(LinearAlgebra/SesquilinearForm): adding orthogonality lemmas |
Add the features proposed in #34007 to align with `PointedCone.dual`.
Other noteworthy changes:
* rename `mem_orthogonalBilin_iff` to `mem_orthogonaBilin` to align the API with `PointedCone.mem_dual`.
* generalize `orthogonal_span_singleton_eq_to_lin_ker`, and rename to `orthogonalBilin_span_singleton`.
* rename `le_orthogonalBilin_orthogonalBilin` to `IsRefl. le_orthogonalBilin_orthogonalBilin` in order to free the name for a new version that does not assume `IsRefl`.
---
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|
t-algebra label:t-algebra$ |
159/17 |
Mathlib/LinearAlgebra/BilinearForm/Orthogonal.lean,Mathlib/LinearAlgebra/SesquilinearForm/Orthogonal.lean |
2 |
30 |
['github-actions', 'martinwintermath', 'mathlib-dependent-issues', 'themathqueen'] |
nobody |
0-30302 8 hours ago |
5-28817 5 days ago |
15-17742 15 days |
| 39341 |
drocta author:drocta |
feat(Algebra/Colimit/DirectLimit): add DirectLimit.(NonUnital)StarAlgebra.(lift/of) maps and associated lemmas |
add the `of` and `lift` maps for `DirectLimit.StarAlgebra` and `DirectLimit.NonUnitalStarAlgebra`, as well as the associated lemmas, `of_f`, `lift_comp_of`, `lift_of`, and `hom_ext` for each. Also make `DirectLimit.NonUnitalAlgebra` only require `[Monoid R]` rather than `[CommSemiring R]`.
---
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Use of AI: I again asked ChatGPT for some advice about some things about this code. I can personally vouch for all of the code I'm submitting, and that I understand all of it.
This is the third part of my project towards supporting direct limits of $C^∗$ -algebras (as I described [on Zulip](https://leanprover.zulipchat.com/#narrow/channel/113489-new-members/topic/Early.20feedback.20on.20approach.20towards.20formalizing.20UHF.20algebras.3F) ).
This PR adds an import of `Mathlib.Algebra.Star.StarAlgHom` (because it needs `StarAlgHom` and `NonUnitalStarAlgHom`) replacing/encompassing the previously added imports of `Mathlib.Algebra.Star.StarRingHom` and `Mathlib.Algebra.Algebra.NonUnitalHom` (added in PR #38308 and #38672 respectively). |
t-algebra
new-contributor
label:t-algebra$ |
100/3 |
Mathlib/Algebra/Colimit/DirectLimit.lean |
1 |
22 |
['dagurtomas', 'drocta', 'github-actions', 'themathqueen'] |
themathqueen assignee:themathqueen |
0-30081 8 hours ago |
6-9488 6 days ago |
55-73112 55 days |
| 41131 |
gnahz04 author:gnahz04 |
feat(Analysis/InnerProductSpace): uniform convergence in an RKHS with bounded kernel |
Adds `RKHS.tendstoUniformlyOn_of_norm_kerFun_le`: if the kernel functions are uniformly bounded on a set `s` (`‖kerFun H x‖ ≤ C` for `x ∈ s`), then convergence in `H`-norm implies uniform convergence of the underlying functions on `s`. The whole-space version `tendstoUniformly_of_norm_kerFun_le` is a corollary.
This is the quantitative strengthening enabled by `norm_apply_le`: pointwise convergence already follows from the existing `continuous_eval`, but the explicit bound `‖f x‖ ≤ ‖f‖ * ‖kerFun H x‖` upgrades it to uniform convergence under a bounded kernel.
Per review by Hampus Nyberg: generalized to `TendstoUniformlyOn` on a set, and stated the bound without the `√` (on `‖kerFun H x‖`, which equals `√‖kernel H x x‖`).
**AI disclosure.** I used Claude Code (Claude Opus 4.8) to draft and iterate the Lean proof. I work in kernel methods / RKHS, understand the statement and proof, and can justify the design choices to reviewers.
🤖 Generated with [Claude Code](https://claude.com/claude-code) |
t-analysis
new-contributor
LLM-generated
|
27/0 |
Mathlib/Analysis/InnerProductSpace/Reproducing.lean |
1 |
6 |
['Maldooor', 'github-actions', 'gnahz04'] |
nobody |
0-29946 8 hours ago |
16-46950 16 days ago |
16-47075 16 days |
| 41682 |
tb65536 author:tb65536 |
feat(LinearAlgebra/LinearIndependent/Basic): linear independence along faithful algebra maps |
This PR adds results about linear independence along faithful algebra maps.
I think the 3.5% import bump is fine for this basic file (and it maintains the existing `assert_not_exists Cardinal`), but happy to split off to a `LinearIndependent/Algebra` file if desired.
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|
t-algebra
large-import
maintainer-merge
label:t-algebra$ |
23/0 |
Mathlib/LinearAlgebra/LinearIndependent/Basic.lean |
1 |
10 |
['github-actions', 'tb65536', 'themathqueen'] |
nobody |
0-29442 8 hours ago |
2-48768 2 days ago |
3-51904 3 days |
| 41832 |
pepamontero author:pepamontero |
feat(Geometry/Manifold/Algebra/SMul): scalar multiplication by a group element is a diffeomorphism |
The diffeomorphism given by scalar multiplication by an element of a group `G` acting Cⁿ-differentiably on a manifold `M` is a diffeomorphism from `M` to itself.
Additions:
* `ContMDiffSMul.contMDiff_const_smul`: if the action is `ContMDiffSMul` then for every `g`, `x ↦ g • x` is `Cⁿ`.
* `Diffeomorph.smul`: definition of the diffeomorphism (as well as the additive version)
* Basic API: `Diffeomorph.smul_apply`, `Diffeomorph.smul_symm_apply`, `Diffeomorph.smul_symm` (and additive versions)
Split off from #40727 since it is independently useful.
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|
t-differential-geometry
new-contributor
|
41/1 |
Mathlib/Geometry/Manifold/Algebra/SMul.lean |
1 |
2 |
['github-actions'] |
nobody |
0-29164 8 hours ago |
0-29773 8 hours ago |
0-35421 9 hours |
| 41505 |
homeowmorphism author:homeowmorphism |
feat(GroupTheory): define left-orderable monoids and left-orderable groups |
A monoid `M` is *left-orderable* if it admits a linear order invariant under left multiplication
(`a ≤ b → c * a ≤ c * b`), *right-orderable* if it admits one invariant under right multiplication,
and *bi-orderable* if a single order is invariant under both — stronger than being both left- and
right-orderable, since those may need different orders. Moreover, these order becomes strict if the monoid is cancellative. This file defines the `Prop`-valued classes
`IsLeftOrderable`, `IsRightOrderable` and `IsBiOrderable`, and the instances producing them from a
compatible `LinearOrder`. Their richer theory over a *group*, where the two one-sided notions
coincide, is developed in `Mathlib/GroupTheory/Orderable.lean`.
Building on the monoid-level classes `IsLeftOrderable`, `IsRightOrderable` and `IsBiOrderable` (see
`Mathlib/Algebra/Order/Monoid/Orderable.lean`), adds the theory specific to a group `G`,
where inverses make the left- and right-handed notions coincide.
Co-authored by: Yaël Dillies <yael.dillies@gmail.com>
---
Zulip thread: https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Dynamical.20realization.20of.20left-orderable.20groups.20project/
Authored using Claude Fable during the Fermat’s Last Theorem workshop in July 2026.
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|
LLM-generated
t-group-theory
|
523/0 |
Mathlib.lean,Mathlib/Algebra/Order/Group/PiLex.lean,Mathlib/Algebra/Order/Monoid/Orderable/Defs.lean,Mathlib/Algebra/Order/Monoid/Orderable/Pi.lean,Mathlib/Algebra/Order/Monoid/Orderable/Prod.lean,Mathlib/Algebra/Order/Monoid/Prod.lean,Mathlib/Tactic/Translate/ToAdditive.lean |
7 |
59 |
['JovanGerb', 'YaelDillies', 'github-actions', 'homeowmorphism', 'tb65536'] |
nobody |
0-28878 8 hours ago |
0-59611 16 hours ago |
4-85727 4 days |
| 41299 |
JovanGerb author:JovanGerb |
chore(DomAct): clean up `DomMulAct`/`DomAddAct` instances |
This PR cleans up the `DomMulAct`/`DomAddAct` instances using `inferInstanceAs`.
Instead having the `MyClass Mᵐᵒᵖ` instance imply the `MyClass Mᵈᵐᵃ` instance, we use `MyClass M` as the hypothesis. For this to work, some instances need to be moved from the group file to the ring file, so that the required instances are available.
Additionally, `@[to_additive]` is now only used in the group instances and not the ring instances.
---
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|
t-group-theory
large-import
|
21/16 |
Mathlib/Algebra/Module/Hom.lean,Mathlib/Algebra/Module/LinearMap/Basic.lean,Mathlib/Algebra/Ring/Opposite.lean,Mathlib/GroupTheory/GroupAction/DomAct/Basic.lean |
4 |
1 |
['github-actions'] |
nobody |
0-28461 7 hours ago |
14-49860 14 days ago |
14-50129 14 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 |
0-28009 7 hours ago |
0-28009 7 hours ago |
2-25206 2 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 |
0-27979 7 hours ago |
0-27985 7 hours ago |
2-26139 2 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 |
0-27450 7 hours ago |
0-32246 8 hours ago |
0-33209 9 hours |
| 41837 |
vlad902 author:vlad902 |
fix: add an adaptation note as a followup to the 4.33.0-rc1 bump |
Add an adaptation note to `set_option` for `rightUnitor_inv_left_snd` to mark that the option is required to avoid changing auto-generated lemma signatures. This is important so that a (future follow-up to) `scripts/rm_set_option.py` doesn't automatically delete it, otherwise it would break the build for that CI workflow.
See [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
maintainer-merge
|
2/0 |
Mathlib/CategoryTheory/Monoidal/Cartesian/Over.lean |
1 |
3 |
['github-actions', 'grunweg'] |
nobody |
0-27248 7 hours ago |
0-32102 8 hours ago |
0-32096 8 hours |
| 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 |
0-26493 7 hours ago |
0-58988 16 hours ago |
1-36288 1 day |
| 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 |
0-26075 7 hours ago |
5-56330 5 days ago |
5-56324 5 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: @CoolRmal
Co-authored-by: @JonBannon
Co-authored-by: @faenuccio
Co-authored-by: @ocfnash
Co-authored-by: @PatrickMassot
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|
t-topology |
382/0 |
Mathlib.lean,Mathlib/Analysis/Normed/Operator/Fredholm/Basic.lean |
2 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'themathqueen'] |
nobody |
0-25339 7 hours ago |
0-25132 6 hours ago |
0-26349 7 hours |
| 41815 |
felixpernegger author:felixpernegger |
chore: remove redundant brackets |
Remove redundant `()` brackets. This is pretty minor, but still a strict style improvement, so I PR it
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|
1021/1021 |
Archive/Imo/Imo1982Q1.lean,Archive/Imo/Imo2024Q5.lean,Archive/Imo/Imo2025Q3.lean,Counterexamples/DiscreteTopologyNonDiscreteUniformity.lean,Counterexamples/NowhereDifferentiable.lean,Counterexamples/TopologistsSineCurve.lean,Mathlib/Algebra/Algebra/Subalgebra/Basic.lean,Mathlib/Algebra/Algebra/Subalgebra/MulOpposite.lean,Mathlib/Algebra/BigOperators/Group/List/Defs.lean,Mathlib/Algebra/Category/BoolRing.lean,Mathlib/Algebra/Category/Grp/Adjunctions.lean,Mathlib/Algebra/Category/Grp/Preadditive.lean,Mathlib/Algebra/Category/ModuleCat/Basic.lean,Mathlib/Algebra/Category/ModuleCat/Free.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/Submodule.lean,Mathlib/Algebra/Category/ModuleCat/Sheaf/Abelian.lean,Mathlib/Algebra/Category/ModuleCat/Sheaf/Limits.lean,Mathlib/Algebra/Category/ModuleCat/Sheaf/LocallyFree.lean,Mathlib/Algebra/Category/ModuleCat/Sheaf/Quasicoherent.lean,Mathlib/Algebra/Category/Ring/Basic.lean,Mathlib/Algebra/CharZero/Defs.lean,Mathlib/Algebra/Field/Subfield/Defs.lean,Mathlib/Algebra/FreeMonoid/Count.lean,Mathlib/Algebra/Group/Center.lean,Mathlib/Algebra/Group/End.lean,Mathlib/Algebra/Group/Even.lean,Mathlib/Algebra/Group/Subgroup/Order.lean,Mathlib/Algebra/Group/Submonoid/Operations.lean,Mathlib/Algebra/Group/Submonoid/Units.lean,Mathlib/Algebra/Group/TypeTags/Basic.lean,Mathlib/Algebra/Group/Units/Hom.lean,Mathlib/Algebra/Homology/DerivedCategory/Ext/ExactSequences.lean,Mathlib/Algebra/Homology/DerivedCategory/ShortExact.lean,Mathlib/Algebra/Homology/Embedding/AreComplementary.lean,Mathlib/Algebra/Homology/Embedding/Basic.lean,Mathlib/Algebra/Homology/Embedding/CochainComplex.lean,Mathlib/Algebra/Homology/HomotopyCategory/Plus.lean,Mathlib/Algebra/Homology/HomotopyFiber.lean,Mathlib/Algebra/Homology/ShortComplex/Abelian.lean,Mathlib/Algebra/Homology/ShortComplex/Basic.lean,Mathlib/Algebra/Homology/ShortComplex/ConcreteCategory.lean,Mathlib/Algebra/Homology/ShortComplex/Exact.lean,Mathlib/Algebra/Homology/ShortComplex/ExactFunctor.lean,Mathlib/Algebra/Homology/ShortComplex/Homology.lean,Mathlib/Algebra/Homology/ShortComplex/RightHomology.lean,Mathlib/Algebra/Lie/Ideal.lean,Mathlib/Algebra/Lie/LieTheorem.lean,Mathlib/Algebra/Lie/SemiDirect.lean,Mathlib/Algebra/Module/Equiv/Defs.lean,Mathlib/Algebra/Module/Presentation/Basic.lean,Mathlib/Algebra/Module/Presentation/Differentials.lean,Mathlib/Algebra/Module/SpanRank.lean,Mathlib/Algebra/Module/Submodule/Invariant.lean,Mathlib/Algebra/Module/Torsion/Basic.lean,Mathlib/Algebra/MvPolynomial/Basic.lean,Mathlib/Algebra/Order/Antidiag/Finsupp.lean,Mathlib/Algebra/Order/Antidiag/Nat.lean,Mathlib/Algebra/Order/Antidiag/Pi.lean,Mathlib/Algebra/Order/GroupWithZero/Lex.lean,Mathlib/Algebra/Order/GroupWithZero/Range.lean,Mathlib/Algebra/Order/Module/HahnEmbedding.lean,Mathlib/Algebra/Order/Monoid/Lex.lean,Mathlib/Algebra/Order/Positive/Ring.lean,Mathlib/Algebra/Polynomial/Basic.lean,Mathlib/Algebra/Polynomial/Degree/Lemmas.lean,Mathlib/Algebra/QuadraticAlgebra/Basic.lean,Mathlib/Algebra/Quandle.lean,Mathlib/Algebra/Quaternion.lean,Mathlib/Algebra/Ring/Ext.lean,Mathlib/Algebra/Ring/Subring/Basic.lean,Mathlib/Algebra/Ring/Subring/MulOpposite.lean,Mathlib/Algebra/Ring/Subsemiring/Basic.lean,Mathlib/Algebra/Ring/Subsemiring/MulOpposite.lean,Mathlib/Algebra/Ring/ULift.lean,Mathlib/Algebra/SkewMonoidAlgebra/Basic.lean,Mathlib/Algebra/SkewPolynomial/Basic.lean,Mathlib/Algebra/Star/CentroidHom.lean,Mathlib/Algebra/Torsor/Basic.lean,Mathlib/Algebra/TrivSqZeroExt/Basic.lean,Mathlib/AlgebraicGeometry/AffineScheme.lean,Mathlib/AlgebraicGeometry/AffineTransitionLimit.lean,Mathlib/AlgebraicGeometry/Birational/RationalMap.lean,Mathlib/AlgebraicGeometry/EffectiveEpi.lean,Mathlib/AlgebraicGeometry/FunctionField.lean,Mathlib/AlgebraicGeometry/GammaSpecAdjunction.lean,Mathlib/AlgebraicGeometry/Gluing.lean,Mathlib/AlgebraicGeometry/IdealSheaf/Basic.lean,Mathlib/AlgebraicGeometry/IdealSheaf/Functorial.lean,Mathlib/AlgebraicGeometry/Limits.lean,Mathlib/AlgebraicGeometry/Modules/Tilde.lean,Mathlib/AlgebraicGeometry/Morphisms/Affine.lean,Mathlib/AlgebraicGeometry/Morphisms/AffineAnd.lean,Mathlib/AlgebraicGeometry/Morphisms/ClosedImmersion.lean,Mathlib/AlgebraicGeometry/Morphisms/Finite.lean,Mathlib/AlgebraicGeometry/Morphisms/Flat.lean,Mathlib/AlgebraicGeometry/Morphisms/Immersion.lean,Mathlib/AlgebraicGeometry/Morphisms/IsIso.lean,Mathlib/AlgebraicGeometry/Morphisms/QuasiCompact.lean,Mathlib/AlgebraicGeometry/Morphisms/QuasiFinite.lean,Mathlib/AlgebraicGeometry/Morphisms/RingHomProperties.lean |
658 |
6 |
['SnirBroshi', 'felixpernegger', 'github-actions', 'leanprover-radar', 'mathlib-bors'] |
nobody |
0-24514 6 hours ago |
0-29302 8 hours ago |
0-30785 8 hours |
| 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 |
0-23846 6 hours ago |
0-53438 14 hours ago |
0-55071 15 hours |
| 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 |
0 |
[] |
nobody |
0-19975 5 hours ago |
0-19975 5 hours ago |
0-19970 5 hours |
| 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 |
0-19836 5 hours ago |
11-6289 11 days ago |
11-6283 11 days |
| 41160 |
paulcadman author:paulcadman |
feat: add theorem that Bird's determinant algorithm computes Matrix.det |
This PR adds:
```lean
theorem det_eq_birdDet {n : Nat} (A : Array R) (hA : A.size = n * n) :
Matrix.det (Matrix.ofArray (m := n) (n := n) A hA) = birdDet n A
```
showing that Bird's determinant algorithm computes `Matrix.det`.
The PR also adds:
- `BirdDet.Spec.birdDet` - an alternative implementation of Bird's algorithm that's stated in terms of `Matrix` instead of `Array`.
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
large-import
|
609/74 |
Mathlib.lean,Mathlib/Data/Fin/Tuple/Basic.lean,Mathlib/LinearAlgebra/Matrix/Determinant/Bird/Correctness.lean,Mathlib/LinearAlgebra/Matrix/Determinant/Bird/Defs.lean,Mathlib/Order/Fin/Tuple.lean,Mathlib/Tactic/Determinant/Bird/Cert.lean,docs/references.bib |
7 |
110 |
['Vierkantor', 'github-actions', 'jcommelin', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib-splicebot', 'ocfnash', 'paulcadman'] |
ocfnash assignee:ocfnash |
0-19779 5 hours ago |
0-22610 6 hours ago |
2-65563 2 days |
| 33157 |
wwylele author:wwylele |
feat(Combinatorics): partitions and pentagonal numbers |
We prove a corollary of pentagonal number theorem: the number of partitions with odd number of distinct parts and the number of partitions with even number of distinct parts are either equal (n is not pentagonal), or (-1)^k for the k-th pentagonal number
---
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|
t-combinatorics |
92/0 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/Partition/Basic.lean,Mathlib/Combinatorics/Enumerative/Partition/Pentagonal.lean |
3 |
8 |
['copilot-pull-request-reviewer', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'wwylele'] |
nobody |
0-18185 5 hours ago |
0-19791 5 hours ago |
0-20456 5 hours |
| 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 |
0-18043 5 hours ago |
23-2626 23 days ago |
77-24675 77 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 |
0-18042 5 hours ago |
22-76273 22 days ago |
34-29320 34 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 |
0-18042 5 hours ago |
67-54556 67 days ago |
75-72727 75 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 |
12 |
['JovanGerb', 'eric-wieser', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts'] |
Vierkantor assignee:Vierkantor |
0-18041 5 hours ago |
29-16899 29 days ago |
89-15552 89 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 |
0-18039 5 hours ago |
27-8343 27 days ago |
34-50333 34 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 |
0-18038 5 hours ago |
12-80110 12 days ago |
12-80223 12 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 |
0-18036 5 hours ago |
8-27482 8 days ago |
8-27476 8 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 |
0-18006 5 hours ago |
0-18623 5 hours ago |
0-18617 5 hours |
| 40182 |
Thmoas-Guan author:Thmoas-Guan |
feat(RingTheory): add lemma for span rank of maximal ideal under surjection |
In this PR, we added the following result : for noetherian local ring `(R, m, k)`, the span rank of maximal ideal of `R/I` adding `k` dimension of `I+m^2/m^2` is equal to span rank of maximal ideal of `R`.
This would be useful when dealing with regular local ring and quotient within `m^2`.
---
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t-ring-theory |
52/0 |
Mathlib/Algebra/Module/SpanRankOperations.lean,Mathlib/RingTheory/Ideal/Cotangent.lean,Mathlib/RingTheory/LocalRing/ResidueField/Basic.lean |
3 |
1 |
['github-actions'] |
nobody |
0-17140 4 hours ago |
43-60969 43 days ago |
43-60963 43 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 |
0-17139 4 hours ago |
50-51525 50 days ago |
50-51519 50 days |
| 40204 |
Jun2M author:Jun2M |
feat(Combinatorics): incidence-based `HypergraphLike` class |
This PR introduces an alternative definition of HyperGraphLike based on incidence.
This is alternative to #36743.
See discussion at ([#graph theory > HasAdj](https://leanprover.zulipchat.com/#narrow/channel/252551-graph-theory/topic/HasAdj/with/575843445)) for more information.
---
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t-combinatorics |
1729/2 |
Mathlib.lean,Mathlib/Combinatorics/Digraph/GraphLike.lean,Mathlib/Combinatorics/Graph/Basic.lean,Mathlib/Combinatorics/Graph/GraphLike.lean,Mathlib/Combinatorics/GraphLike/Basic.lean,Mathlib/Combinatorics/GraphLike/Walks/Basic.lean,Mathlib/Combinatorics/GraphLike/Walks/Dart.lean,Mathlib/Combinatorics/SimpleGraph/GraphLike.lean,Mathlib/Data/PFun.lean,Mathlib/Data/Part.lean |
10 |
2 |
['github-actions'] |
nobody |
0-17138 4 hours ago |
43-7391 43 days ago |
43-10124 43 days |
| 38185 |
Jun2M author:Jun2M |
feat(Order/Partition): operations over Frame |
This PR introduces:
* `Partition.induce`: The induce of a partition by a frame element.
* `Partition.disjUnion`: The disjoint union of two partitions.
* `Partition.bind`: The finer partition obtained by family of partitions for each part of the original partition.
Co-authored-by: Peter Nelson <apn.uni@gmail.com>
---
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t-order |
89/11 |
Mathlib/Order/Partition/Basic.lean,Mathlib/Order/SupIndep.lean |
2 |
1 |
['github-actions'] |
nobody |
0-17137 4 hours ago |
90-31424 90 days ago |
90-31418 90 days |
| 39774 |
Hagb author:Hagb |
feat(Order/WellFounded): `WellFounded` on subtype iff the relation restricted on the subtype is `WellFounded` |
Equivalence between `WellFounded` on a subtype and `WellFounded` on the underlying type with the relation restricted on the subtype.
---
(It was a lemma for #39781, which has been closed since there would be a better proof.)
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t-order |
13/0 |
Mathlib/Order/WellFounded.lean |
1 |
3 |
['Hagb', 'SnirBroshi', 'github-actions'] |
nobody |
0-17136 4 hours ago |
53-42806 53 days ago |
53-42800 53 days |
| 39506 |
b-mehta author:b-mehta |
feat(Data/Complex/Basic): add simproc to reduce powers of I |
This is enabled by default to make eg i^5 simplify automatically.
We intentionally require the exponent to be a numeral, as this is intended to be a reduction statement, and for symbolic `n`, the lemma `I_pow_eq_pow_mod` should be used instead.
Note that we can't have `I_pow_eq_pow_mod` as a simp lemma due to looping.
---
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t-data |
65/5 |
Mathlib/Algebra/Group/Defs.lean,Mathlib/Analysis/Meromorphic/FactorizedRational.lean,Mathlib/Analysis/SpecialFunctions/Elliptic/Weierstrass.lean,Mathlib/Data/Complex/Basic.lean,MathlibTest/Simproc/IPow.lean |
5 |
15 |
['Paul-Lez', 'b-mehta', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
0-17135 4 hours ago |
47-68074 47 days ago |
60-13930 60 days |
| 39809 |
zcyemi author:zcyemi |
feat(LinearAlgebra/AffineSpace/Menelaus): add Menelaus' theorem |
Add Menelaus' theorem for both `AffineSpace` and `NormedAddTorsor`.
The `AffineSpace` version includes both the forward and converse directions, while the `NormedAddTorsor` version currently includes the forward direction.
For the converse direction in the `NormedAddTorsor` setting, I am still considering the most convenient formalization for future use. One possible approach is to use `sbtw` / `¬ sbtw` to distinguish the different positional cases for points on the edges of a triangle, but this seems too complicated under permutations of the triangle vertices.
|
t-euclidean-geometry |
218/0 |
Mathlib.lean,Mathlib/Analysis/Normed/Affine/Menelaus.lean,Mathlib/LinearAlgebra/AffineSpace/Menelaus.lean,docs/1000.yaml |
4 |
3 |
['github-actions', 'jsm28'] |
nobody |
0-17134 4 hours ago |
52-80407 52 days ago |
52-81078 52 days |
| 40006 |
tautschnig author:tautschnig |
feat(Data/ZMod/Basic): idempotents in ZMod (p^d) are exactly {0, 1} |
Add sq_eq_self_iff_eq_zero_or_one: in ZMod (p^d) for prime p and d > 0, x^2 = x iff x = 0 or x = 1.
This generalises eq_zero_or_one_of_sq_eq_self (which requires CancelMonoidWithZero, i.e., no zero divisors) to the prime-power case. ZMod (p^d) has zero divisors for d >= 2, so the mul_left_injective₀ argument used by the existing lemma does not apply. The proof works by lifting to ℕ, using that if gcd(a, b) = 1 and p^d | a*b then p^d divides one of a or b (by Euclid's lemma), then noting that a = x.val and b = x.val - 1 are consecutive naturals and hence coprime.
---
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t-data
new-contributor
|
56/0 |
Mathlib/Data/ZMod/Basic.lean |
1 |
3 |
['Julian-Kuelshammer', 'github-actions'] |
nobody |
0-17134 4 hours ago |
48-73554 48 days ago |
48-74243 48 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 |
0-17132 4 hours ago |
43-37297 43 days ago |
43-37291 43 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 |
1 |
['github-actions'] |
nobody |
0-17131 4 hours ago |
52-53546 52 days ago |
52-53567 52 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'] |
nobody |
0-17130 4 hours ago |
54-6919 54 days ago |
54-6913 54 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'] |
nobody |
0-17128 4 hours ago |
79-55016 79 days ago |
79-55010 79 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'] |
nobody |
0-17128 4 hours ago |
40-8536 40 days ago |
40-9186 40 days |
| 40023 |
chenson2018 author:chenson2018 |
chore(AlgebraicTopology): refactor proofs where `grind?` fails |
These are sources of technical debt as now reported in the [weekly linting report](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Weekly.20linting.20log/with/544658968). The idea is that a successful grind proof can fail to report the theorems it used via grind?, which means that if these proofs break across toolchains that it becomes significantly harder to repair.
---
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|
t-algebraic-topology
will-close-soon
|
11/5 |
Mathlib/AlgebraicTopology/SimplexCategory/DeltaZeroIter.lean,Mathlib/AlgebraicTopology/SimplexCategory/GeneratorsRelations/NormalForms.lean,Mathlib/AlgebraicTopology/SimplicialSet/NonDegenerateSimplices.lean,Mathlib/AlgebraicTopology/SimplicialSet/NonDegenerateSimplicesSubcomplex.lean |
4 |
4 |
['chenson2018', 'github-actions', 'grunweg', 'joelriou'] |
nobody |
0-17127 4 hours ago |
48-47898 48 days ago |
48-47892 48 days |
| 39738 |
NoahW314 author:NoahW314 |
feat(Algebra/Algebra/Bilinear): generalize to `NonUnitalNonAssocCommSemiring` |
Complete a TODO which can now be done since #28604 is merged.
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|
t-algebra label:t-algebra$ |
2/4 |
Mathlib/Algebra/Algebra/Bilinear.lean |
1 |
1 |
['github-actions', 'madvorak'] |
nobody |
0-17126 4 hours ago |
55-8375 55 days ago |
55-8369 55 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'] |
nobody |
0-17125 4 hours ago |
48-66800 48 days ago |
48-66873 48 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 |
0-17124 4 hours ago |
46-35833 46 days ago |
46-35869 46 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 |
0-17123 4 hours ago |
35-26064 35 days ago |
44-26102 44 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'] |
nobody |
0-17122 4 hours ago |
21-64530 21 days ago |
21-64525 21 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 |
8 |
['Thmoas-Guan', 'github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'themathqueen'] |
joelriou assignee:joelriou |
0-17121 4 hours ago |
77-25699 77 days ago |
77-25959 77 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 |
0-17119 4 hours ago |
50-37739 50 days ago |
50-38333 50 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 |
0-17118 4 hours ago |
48-78405 48 days ago |
48-78399 48 days |
| 40025 |
artie2000 author:artie2000 |
chore(Data/SetLike/Basic): generalise instance |
* Generalise the standard `IsConcreteLE` instance from `PartialOrder.ofSetLike` to `LE.ofSetLike`
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t-data |
8/4 |
Mathlib/Data/SetLike/Basic.lean |
1 |
4 |
['github-actions', 'leanprover-radar', 'vihdzp'] |
nobody |
0-17117 4 hours ago |
48-44331 48 days ago |
48-44325 48 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 |
3 |
['Vierkantor', 'chenson2018', 'github-actions'] |
nobody |
0-17116 4 hours ago |
53-2482 53 days ago |
53-2476 53 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
|
187/0 |
Mathlib.lean,Mathlib/Topology/Connected/HausdorffMeasure.lean |
2 |
2 |
['github-actions', 'plp127'] |
nobody |
0-14794 4 hours ago |
0-17099 4 hours ago |
0-21950 6 hours |
| 41820 |
plp127 author:plp127 |
chore(GroupTheory): rename `IsSolvable` to `Group.IsSolvable` |
Renames `IsSolvable` to `Group.IsSolvable`.
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|
t-group-theory |
105/63 |
Archive/Wiedijk100Theorems/AbelRuffini.lean,Mathlib/FieldTheory/AbelRuffini.lean,Mathlib/FieldTheory/Normal/Basic.lean,Mathlib/GroupTheory/Nilpotent.lean,Mathlib/GroupTheory/Solvable.lean,Mathlib/GroupTheory/SpecificGroups/ZGroup.lean |
6 |
5 |
['github-actions', 'plp127', 'tb65536'] |
nobody |
0-13289 3 hours ago |
0-15810 4 hours ago |
0-22086 6 hours |
| 41838 |
JovanGerb author:JovanGerb |
chore(Data/Prod/Lex): remove `backward.isDefEq.respectTransparency` |
Clean up some `respectTransparency` tech debt.
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tech debt
t-data
maintainer-merge
|
2/4 |
Mathlib/Data/Prod/Lex.lean |
1 |
4 |
['JovanGerb', 'github-actions', 'grunweg'] |
nobody |
0-13257 3 hours ago |
0-29079 8 hours ago |
0-29073 8 hours |
| 39696 |
jsm28 author:jsm28 |
refactor(LinearAlgebra/Orientation,LinearAlgebra/AffineSpace/FiniteDimensional): instances for arbitrary orientations |
Based on suggestions by @kim-em on Zulip https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/PRs.20towards.20IMO.20geometry.202024.20P4/near/596946072 add convenience scoped instances for choosing an arbitrary orientation of a module, and for the `finrank` of the span of the vertices of a simplex.
Note: I don't understand why the latter scoped instance is only found automatically in one of the two places using it; in `Sphere/Power.lean` it's necessary to use `Affine.Simplex.fact_finrank_direction_affineSpan_eq` rather than relying on typeclass inference, but in `Angle/Sphere.lean` typeclass inference suffices.
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t-algebra
t-euclidean-geometry
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 |
0-12988 3 hours ago |
0-14203 3 hours ago |
55-51411 55 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 |
0-12643 3 hours ago |
84-19521 84 days ago |
87-2221 87 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 |
0-12320 3 hours ago |
21-8231 21 days ago |
32-78125 32 days |
| 41669 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Acyclic): a nontrivial finite tree has at least two leaves |
Generalizes [`IsTree.exists_vert_degree_one_of_nontrivial`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Combinatorics/SimpleGraph/Acyclic.html#SimpleGraph.IsTree.exists_vert_degree_one_of_nontrivial).
Co-authored-by: robo7179 <abhinavn004@gmail.com>
---
This adopts #35017 since the author hasn't responded in a few months, I don't want this lemma to fall through the cracks, and most of this code was [written by me](https://github.com/leanprover-community/mathlib4/pull/35017#issuecomment-4159631563).
Also golfed the 1 leaf version with `grind`, elab time increased from ~12ms to ~52ms.
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|
t-combinatorics |
19/4 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean |
1 |
1 |
['github-actions'] |
nobody |
0-11240 3 hours ago |
0-12316 3 hours ago |
3-60508 3 days |
| 41840 |
SofiaSL author:SofiaSL |
feat: generalise Hermite polynomial to any commutative ring |
---
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[](https://gitpod.io/from-referrer/)
Change the definition of the Hermite polynomials to be over an arbitrary commutative ring instead of the integers. Also added functions that cast the coefficients into integers.
Co-authored-by: Alan Li <alanli2326@gmail.com> |
t-ring-theory
new-contributor
|
104/40 |
Mathlib/RingTheory/Polynomial/Hermite/Basic.lean,Mathlib/RingTheory/Polynomial/Hermite/Gaussian.lean |
2 |
5 |
['CoolRmal', 'SofiaSL', 'github-actions'] |
nobody |
0-10690 2 hours ago |
0-12584 3 hours ago |
0-12765 3 hours |
| 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 |
0-10404 2 hours ago |
0-44042 12 hours ago |
0-44048 12 hours |
| 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 |
0-6056 1 hour ago |
0-7247 2 hours ago |
2-46058 2 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
|
45/20 |
Mathlib/Combinatorics/SimpleGraph/Extremal/Turan.lean |
1 |
7 |
['Parcly-Taxel', 'github-actions', 'mathlib-merge-conflicts', 'tb65536'] |
nobody |
0-4546 1 hour ago |
0-5637 1 hour ago |
85-64478 85 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, and mark it with `@[simp apply]` absorb the `toLinearMap₁₂_apply` lemma.
---
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|
t-topology
new-contributor
tech debt
|
6/5 |
Mathlib/MeasureTheory/Measure/CharacteristicFunction/TaylorExpansion.lean,Mathlib/Topology/Algebra/Module/Spaces/ContinuousLinearMap.lean |
2 |
19 |
['github-actions', 'mpacholski', 'pechersky', 'themathqueen'] |
nobody |
0-1541 25 minutes ago |
0-1617 26 minutes ago |
1-26238 1 day |
| 41427 |
YaelDillies author:YaelDillies |
refactor(Algebra/MvPolynomial): delete `coeff` |
... without a deprecation because we want dot notation to resolve to `AddMonoidAlgebra.coeff`.
For migration, replace bare `MvPolynomial.coeff`s with `AddMonoidAlgebra.coeff`. Dot notation `.coeff` will resolve to `AddMonoidAlgebra.coeff` without further change. `MvPolynomial.coeff m p` corresponds to `AddMonoidAlgebra.coeff p m`, so you will need to swap arguments. Note further that `AddMonoidAlgebra.coeff p` is bundled as a `Finsupp` while `MvPolynomial.coeff` is a bare function.
---
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|
tech debt
t-algebra
label:t-algebra$ |
243/245 |
Mathlib/Algebra/MvPolynomial/Basic.lean,Mathlib/Algebra/MvPolynomial/Coeff.lean,Mathlib/Algebra/MvPolynomial/CommRing.lean,Mathlib/Algebra/MvPolynomial/Degrees.lean,Mathlib/Algebra/MvPolynomial/Division.lean,Mathlib/Algebra/MvPolynomial/Equiv.lean,Mathlib/Algebra/MvPolynomial/Eval.lean,Mathlib/Algebra/MvPolynomial/Funext.lean,Mathlib/Algebra/MvPolynomial/Monad.lean,Mathlib/Algebra/MvPolynomial/Nilpotent.lean,Mathlib/Algebra/MvPolynomial/NoZeroDivisors.lean,Mathlib/Algebra/MvPolynomial/PDeriv.lean,Mathlib/Algebra/MvPolynomial/Rename.lean,Mathlib/Algebra/MvPolynomial/Variables.lean,Mathlib/Combinatorics/Nullstellensatz.lean,Mathlib/FieldTheory/AxGrothendieck.lean,Mathlib/FieldTheory/SeparablyGenerated.lean,Mathlib/NumberTheory/Height/MvPolynomial.lean,Mathlib/RingTheory/Extension/Generators.lean,Mathlib/RingTheory/Extension/Presentation/Basic.lean,Mathlib/RingTheory/MvPolynomial/Basic.lean,Mathlib/RingTheory/MvPolynomial/FreeCommRing.lean,Mathlib/RingTheory/MvPolynomial/Groebner.lean,Mathlib/RingTheory/MvPolynomial/Homogeneous.lean,Mathlib/RingTheory/MvPolynomial/IrreducibleQuadratic.lean,Mathlib/RingTheory/MvPolynomial/MonomialOrder.lean,Mathlib/RingTheory/MvPolynomial/WeightedHomogeneous.lean,Mathlib/RingTheory/MvPowerSeries/Basic.lean,Mathlib/RingTheory/MvPowerSeries/Trunc.lean,Mathlib/RingTheory/NoetherNormalization.lean,Mathlib/RingTheory/Polynomial/Basic.lean,Mathlib/RingTheory/Polynomial/IsIntegral.lean,Mathlib/RingTheory/Polynomial/Quotient.lean,Mathlib/RingTheory/Spectrum/Prime/Polynomial.lean,Mathlib/RingTheory/TensorProduct/MvPolynomial.lean |
35 |
11 |
['YaelDillies', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts', 'mathlib-splicebot'] |
nobody |
0-1359 22 minutes ago |
0-2863 47 minutes ago |
8-59430 8 days |
| 41326 |
Yu-Misaka author:Yu-Misaka |
feat(GroupTheory): summation over a conjugacy class |
This PR proves `ConjClasses.sum_carrier_mul_left`: Summing `f (g * h)` over `h` in the conjugacy class of `g` equals summing `f (h * g)`.
This result can potentially help prove, for example, `∑ h ∈ (ConjClasses.mk g).carrier, ρ h` is intertwining in the settings of representation theory.
---
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[](https://gitpod.io/from-referrer/)
|
t-group-theory
large-import
|
56/1 |
Mathlib/Algebra/Group/Conj.lean,Mathlib/Algebra/Group/ConjFinite.lean |
2 |
28 |
['YaelDillies', 'Yu-Misaka', 'github-actions', 'tb65536', 'wwylele'] |
YaelDillies assignee:YaelDillies |
0-1177 19 minutes ago |
0-5655 1 hour ago |
11-40274 11 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
|
181/0 |
Mathlib/Topology/Connected/LocallyConnected.lean,Mathlib/Topology/Connected/LocallyPathConnected.lean |
2 |
14 |
['CoolRmal', 'github-actions', 'grunweg', 'korbonits'] |
CoolRmal assignee:CoolRmal |
0-1079 17 minutes ago |
0-15854 4 hours ago |
2-23017 2 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
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36/1 |
Mathlib/Combinatorics/Quiver/Path.lean |
1 |
2 |
['github-actions'] |
nobody |
0-1007 16 minutes ago |
0-2429 40 minutes ago |
0-2423 40 minutes |