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This page is the main reviewer-facing queue: if a PR is ready for review, it belongs here. The triage page contains additional triage-oriented views, but it is not the primary review queue.
This page contains tables of
| Number |
Author |
Title |
Description |
Labels |
+/- |
Modified files (first 100) |
📝 |
💬 |
All users who commented or reviewed |
Assignee(s) |
Updated |
Last status change |
total time in review |
| 33864 |
Timeroot author:Timeroot |
feat(Computability/Primrec): Proving several Nat arithmetic functions are primrec |
Prove that gcd, lcm, coprimality, divisiblity, primality, factorial, descending factorial, powers, and various logarithms are all primitive recursive.
Co-authored-by: Aristotle Harmonic <[aristotle-harmonic@harmonic.fun](mailto:aristotle-harmonic@harmonic.fun)>
|
large-import
t-computability
|
195/4 |
Mathlib.lean,Mathlib/Computability/Primrec.lean,Mathlib/Computability/Primrec/List.lean,Mathlib/Computability/Primrec/Nat.lean,Mathlib/Data/Nat/Log.lean |
5 |
6 |
['eric-wieser', 'github-actions', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
JovanGerb assignee:JovanGerb |
21-28068 21 days ago |
21-27831 21 days ago |
46-57075 46 days |
| 36220 |
harahu author:harahu |
doc(misc): update two theorem names |
- https://www.wikidata.org/wiki/Q1543149 carries the name "Sokhotski–Plemelj theorem"
- While https://www.wikidata.org/wiki/Q2226807 does carry the name "Vantieghems theorem", I assume the s is assumed to be possessive, since the mathematician credited with the result is called Emmanuel Vantieghem.
---
[](https://gitpod.io/from-referrer/)
|
IMO |
2/2 |
docs/1000.yaml |
1 |
7 |
['dwrensha', 'github-actions', 'harahu'] |
dwrensha assignee:dwrensha |
21-19956 21 days ago |
25-10971 25 days ago |
25-10737 25 days |
| 25983 |
Multramate author:Multramate |
feat(AlgebraicGeometry/EllipticCurve/Scheme): define the affine scheme associated to an elliptic curve |
This contribution was created as part of the AIM workshop "Formalizing Algebraic Geometry" in June 2024.
Co-authored-by: Michael Stoll [Michael.Stoll@uni-bayreuth.de](mailto:Michael.Stoll@uni-bayreuth.de)
Co-authored-by: Junyan Xu [junyanxu.math@gmail.com](mailto:junyanxu.math@gmail.com) |
t-algebraic-geometry |
165/13 |
Mathlib.lean,Mathlib/Algebra/Category/CommAlgCat/Basic.lean,Mathlib/Algebra/Polynomial/Bivariate.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Affine/Scheme.lean,Mathlib/AlgebraicGeometry/GammaSpecAdjunction.lean,Mathlib/AlgebraicGeometry/Scheme.lean,Mathlib/FieldTheory/Galois/Basic.lean,Mathlib/FieldTheory/Galois/Infinite.lean,Mathlib/GroupTheory/GroupExtension/Basic.lean,Mathlib/GroupTheory/QuotientGroup/Defs.lean,Mathlib/GroupTheory/SpecificGroups/Cyclic.lean,Mathlib/RingTheory/AdjoinRoot.lean,Mathlib/RingTheory/Ideal/Quotient/Operations.lean,Mathlib/RingTheory/Invariant/Basic.lean,Mathlib/RingTheory/Valuation/ValuationSubring.lean |
15 |
4 |
['MichaelStollBayreuth', 'Multramate', 'github-actions'] |
alexjbest assignee:alexjbest |
20-81602 20 days ago |
24-32264 24 days ago |
24-34294 24 days |
| 35533 |
mariainesdff author:mariainesdff |
feat(RingTheory/DedekindDomain/Ideal/Lemmas): add nontrivial_heightOneSpectrum |
Co-authored by: @xgenereux.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
12/0 |
Mathlib/RingTheory/DedekindDomain/Ideal/Lemmas.lean |
1 |
4 |
['erdOne', 'github-actions', 'mariainesdff', 'tb65536'] |
mattrobball assignee:mattrobball |
20-81598 20 days ago |
26-52784 26 days ago |
32-79695 32 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`.
---
- [x] depends on: #31132
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
53/0 |
Mathlib.lean,Mathlib/RingTheory/Localization/Saturation.lean |
2 |
11 |
['alreadydone', 'chrisflav', 'github-actions', 'kckennylau', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot'] |
mattrobball assignee:mattrobball |
19-81595 19 days ago |
25-28138 25 days ago |
25-29790 25 days |
| 34031 |
lua-vr author:lua-vr |
feat(Dynamics/BirkhoffSum): add the maximal ergodic theorem |
---
This file exports three constants:
```lean
public def birkhoffAverageSupSet (f : α → α) (g : α → ℝ) (a : ℝ) : Set α :=
{x | ∃ n : ℕ, a < birkhoffAverage ℝ f g n x}
public theorem meas_birkhoffAverageSupSet_smul_const_le_integral (a : ℝ) (ha : 0 < a) :
μ.real (birkhoffAverageSupSet f g a) • a ≤ ∫ x in birkhoffAverageSupSet f g a, g x ∂μ
public theorem meas_birkhoffAverageSupSet_smul_const_le_norm (a : ℝ) (ha : 0 < a) :
μ.real (birkhoffAverageSupSet f (fun x ↦ ‖g x‖) a) • a ≤ ∫ x, ‖g x‖ ∂μ
```
In my interpretation, the other constants are auxiliary, so I did not make them public. If it's of independent interest, `birkhoffMax` could be exported or moved to a dedicated file, but I'm not sure of that at the moment.
- [x] depends on: #34030
- [x] depends on: #34029
- [x] depends on: #34025
[](https://gitpod.io/from-referrer/)
|
t-dynamics |
291/0 |
Mathlib.lean,Mathlib/Dynamics/BirkhoffSum/Maximal.lean |
2 |
4 |
['github-actions', 'lua-vr', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
urkud assignee:urkud |
19-81593 19 days ago |
25-36736 25 days ago |
25-36872 25 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
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-measure-probability
|
392/33 |
Mathlib/Analysis/Convex/Basic.lean,Mathlib/Analysis/Convex/Body.lean,Mathlib/Analysis/Convex/Gauge.lean,Mathlib/LinearAlgebra/FiniteDimensional/Lemmas.lean,Mathlib/LinearAlgebra/LinearIndependent/Lemmas.lean,Mathlib/MeasureTheory/Group/GeometryOfNumbers.lean |
6 |
3 |
['github-actions', 'joneugster'] |
urkud assignee:urkud |
19-81589 19 days ago |
31-70538 31 days ago |
31-73270 31 days |
| 36155 |
grunweg author:grunweg |
feat: custom elaborators for TangentSpace and tangentMap(Within) |
---
[](https://gitpod.io/from-referrer/)
|
t-differential-geometry |
58/28 |
Mathlib/Geometry/Manifold/ContMDiffMFDeriv.lean,Mathlib/Geometry/Manifold/GroupLieAlgebra.lean,Mathlib/Geometry/Manifold/IntegralCurve/Basic.lean,Mathlib/Geometry/Manifold/MFDeriv/SpecificFunctions.lean,Mathlib/Geometry/Manifold/MFDeriv/Tangent.lean,Mathlib/Geometry/Manifold/Notation.lean,Mathlib/Topology/FiberBundle/Constructions.lean |
7 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
sgouezel assignee:sgouezel |
19-81584 19 days ago |
23-39190 23 days ago |
24-48718 24 days |
| 36328 |
Multramate author:Multramate |
feat(AlgebraicGeometry/EllipticCurve): improve API for maps and base changes |
Dot notation for concrete Weierstrass curves (`Affine`/`Jacobian`/`Projective`) does not quite work on `W : WeierstrassCurve F` even though they're all abbreviations of `WeierstrassCurve`, which is annoying for functions that return `WeierstrassCurve`s (currently just `map`, `baseChange`, and `variableChange`). For instance, for an `A : Affine F`, the expression `A.baseChange K` is a `WeierstrassCurve K` rather than an `Affine K`, so `(A.baseChange K).polynomial` will not work since `polynomial` is a function of `Affine K` rather than `WeierstrassCurve K`; instead we have to do `(A.baseChange K).toAffine.polynomial`, which is wordy. This PR introduces abbreviations `Affine/Jacobian/Projective.map/baseChange` to get around this, and introduces scoped notations `W/K`, where the slashes are given by `\textf`. The notation `W⟮K⟯` for `(W.baseChange K)Point` seems to be useless so far and can now be replaced by `(W/K).Point`.
---
[](https://gitpod.io/from-referrer/)
|
t-algebraic-geometry |
284/288 |
Mathlib/AlgebraicGeometry/EllipticCurve/Affine/Basic.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Affine/Formula.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Affine/Point.lean,Mathlib/AlgebraicGeometry/EllipticCurve/DivisionPolynomial/Basic.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Jacobian/Basic.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Jacobian/Formula.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Jacobian/Point.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Projective/Basic.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Projective/Formula.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Projective/Point.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Reduction.lean,Mathlib/AlgebraicGeometry/EllipticCurve/VariableChange.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Weierstrass.lean |
13 |
1 |
['github-actions'] |
alexjbest assignee:alexjbest |
19-81575 19 days ago |
23-7668 23 days ago |
23-8066 23 days |
| 35535 |
mariainesdff author:mariainesdff |
feat(RingTheory/ClassGroup): prove mulEquiv |
We prove that isomorphic rings have isomorphic class groups.
Co-authored by: @xgenereux.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
233/9 |
Mathlib/Algebra/Ring/CompTypeclasses.lean,Mathlib/RingTheory/ClassGroup.lean,Mathlib/RingTheory/FractionalIdeal/Operations.lean,Mathlib/RingTheory/IntegralClosure/IsIntegral/Basic.lean,Mathlib/RingTheory/LocalProperties/Basic.lean,Mathlib/RingTheory/Localization/FractionRing.lean |
6 |
29 |
['erdOne', 'eric-wieser', 'github-actions', 'mariainesdff', 'mathlib-merge-conflicts', 'tb65536'] |
mattrobball assignee:mattrobball |
16-81586 16 days ago |
24-30926 24 days ago |
31-75187 31 days |
| 36329 |
rwst author:rwst |
feat(PowerSeries): add barebones Log.lean |
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
67/0 |
Mathlib.lean,Mathlib/RingTheory/PowerSeries/Log.lean |
2 |
1 |
['github-actions'] |
mariainesdff assignee:mariainesdff |
16-81575 16 days ago |
23-17586 23 days ago |
23-17352 23 days |
| 36374 |
EtienneC30 author:EtienneC30 |
refactor: define the Poisson measure via a sum of Dirac masses |
Change the definition of `poissonMeasure r` to be
`Measure.sum (fun n ↦ ENNReal.ofReal (exp (-r) * r ^ n / (n)!) • (.dirac n))`
instead of using `PMF`. This allows to directly use API for measures instead of having to develop an API for `PMF`, which anyway is defined as a sum of Dirac masses.
Also add some results about integrals against the poissonMeasure.
---
- [x] depends on: #36355
[](https://gitpod.io/from-referrer/)
|
t-measure-probability
large-import
|
105/30 |
Mathlib/MeasureTheory/Measure/Dirac.lean,Mathlib/Probability/Distributions/Poisson/Basic.lean,Mathlib/Probability/Distributions/Poisson/PoissonLimitThm.lean |
3 |
11 |
['DavidLedvinka', 'EtienneC30', 'b-mehta', 'github-actions', 'mathlib-dependent-issues'] |
kex-y assignee:kex-y |
16-81573 16 days ago |
21-19791 21 days ago |
21-33590 21 days |
| 34728 |
j-loreaux author:j-loreaux |
feat: continuous linear equivalence between continuous `ℝ`- and `𝕜`-linear functionals (in either the strong or weak-⋆ topologies) |
This realizes the map `StrongDual.extendRCLikeₗ`, after pre- and post-composing so that it is an equivalence between the weak duals, as a *continuous* linear equivalence.
In addition, when the space is a topological vector space, we realize `StrongDual.extendRCLikeₗ` as a *continuous* linear equivalence between the strong duals.
---
- [x] depends on: #34543
The placement in `Analysis/Normed/Module/WeakDual` seems suboptimal because this has nothing to do with the norm. This is because `WeakDual.toStrongDual` is already in this file, which should probably be moved to `Topology/Algebra/Module/WeakDual`. However, even if that moves, the declarations added in this PR cannot easily go with it because they involve `RCLike`. Potentially, they could move to `Analysis/RCLike/Extend` if that file gained the `Topology/Algebra/Module/WeakDual` import.
---
[](https://gitpod.io/from-referrer/)
|
t-analysis |
87/2 |
Mathlib/Analysis/Normed/Module/RCLike/Extend.lean,Mathlib/Analysis/Normed/Module/WeakDual.lean |
2 |
8 |
['ADedecker', 'github-actions', 'j-loreaux', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
urkud assignee:urkud |
15-81410 15 days ago |
21-18963 21 days ago |
21-21145 21 days |
| 35285 |
SnirBroshi author:SnirBroshi |
feat(Algebra/LinearRecurrence): define a standard basis for the solution space of a linear recurrence |
Also `mkSol` is injective.
---
The hard work was already done by the existing equivalence `toInit`; this defines the basis that the equivalence provides and uses it to simplify a couple of proofs.
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
24/12 |
Mathlib/Algebra/LinearRecurrence.lean |
1 |
1 |
['github-actions'] |
kim-em assignee:kim-em |
15-81407 15 days ago |
44-69934 44 days ago |
44-69700 44 days |
| 36399 |
chrisflav author:chrisflav |
feat(RingTheory/Flat): finite flat algebra is trivial if rank is equal to `1` |
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
177/3 |
Mathlib.lean,Mathlib/LinearAlgebra/TensorProduct/Associator.lean,Mathlib/RingTheory/Flat/Rank.lean,Mathlib/RingTheory/Localization/BaseChange.lean,Mathlib/RingTheory/Spectrum/Prime/Topology.lean,Mathlib/RingTheory/TensorProduct/Maps.lean |
6 |
1 |
['github-actions'] |
alreadydone assignee:alreadydone |
15-81396 15 days ago |
21-28382 21 days ago |
21-28148 21 days |
| 36442 |
SnirBroshi author:SnirBroshi |
feat(Data/Sym/Sym2/Card): cardinality theorems about `Sym2 α` |
---
[](https://gitpod.io/from-referrer/)
|
t-data |
95/0 |
Mathlib.lean,Mathlib/Data/Sym/Sym2/Card.lean |
2 |
1 |
['github-actions'] |
joneugster assignee:joneugster |
15-81393 15 days ago |
20-30802 20 days ago |
20-30568 20 days |
| 36584 |
vihdzp author:vihdzp |
feat: lemmas on ordinal `Nat.cast` |
Downstreamed from the CGT repo.
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory |
30/11 |
Mathlib/SetTheory/Cardinal/Ordinal.lean,Mathlib/SetTheory/Ordinal/Arithmetic.lean,Mathlib/SetTheory/Ordinal/Basic.lean |
3 |
5 |
['SnirBroshi', 'b-mehta', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
b-mehta assignee:b-mehta |
15-4851 15 days ago |
15-4914 15 days ago |
17-57802 17 days |
| 36443 |
Fieldnote-Echo author:Fieldnote-Echo |
feat(Combinatorics/SimpleGraph): add SimpleGraph.ball (open metric ball) |
Add `SimpleGraph.ball`, the open ball in the graph extended metric.
## Design decisions
- **Open ball** (strict `<`, not `≤`): `ball c ⊤` coincides with the connected
component of `c`, whereas a closed ball would give `closedBall c ⊤ = univ`.
- **Named `SimpleGraph.ball`** (not `eball`): since `dist`-valued balls are less
natural for disconnected graphs, the `e` prefix is unnecessary.
- **Graph-specific** (not via `PseudoEMetricSpace`): avoids importing `ℝ`.
AI assistance: Claude (Opus 4.6) helped draft and iterate on the implementation. I reviewed the code line by line and vouch for the final contents.
Discussed on [Zulip](https://leanprover.zulipchat.com/#narrow/channel/252551-graph-theory/topic/SimpleGraph.20metric.20balls/with/577846803).
---
[](https://gitpod.io/from-referrer/) |
t-combinatorics
new-contributor
LLM-generated
|
59/3 |
Mathlib/Combinatorics/SimpleGraph/Metric.lean |
1 |
36 |
['Fieldnote-Echo', 'Rida-Hamadani', 'SnirBroshi', 'github-actions', 'lauramonk', 'vlad902'] |
nobody |
14-30698 14 days ago |
20-29210 20 days ago |
20-28976 20 days |
| 35826 |
quangvdao author:quangvdao |
feat(Probability/ProbabilityMassFunction): total variation distance and MetricSpace instance |
Define total variation distance on probability mass functions, provide
a `MetricSpace` instance, and prove the data processing inequality.
The extended TV distance `PMF.etvDist` is defined in `ℝ≥0∞` as
`(1/2) ∑ x, absDiff (p x) (q x)`, using a new symmetric absolute
difference `ENNReal.absDiff`. The real-valued `PMF.tvDist` is its
`toReal`.
New definitions:
- `ENNReal.absDiff`: symmetric absolute difference `(a - b) + (b - a)`
- `PMF.etvDist`: extended total variation distance
- `PMF.tvDist`: real-valued total variation distance
- `PMF.instMetricSpace`: `MetricSpace` instance on `PMF α`
Main results:
- `ENNReal.absDiff_triangle`: triangle inequality for `absDiff`
- `ENNReal.absDiff_tsum_le`: subadditivity over infinite sums
- `PMF.etvDist_le_one`: TV distance is at most 1
- `PMF.etvDist_map_le`: data processing inequality (deterministic maps)
- `PMF.etvDist_bind_right_le`: data processing inequality (Markov kernels)
- `PMF.etvDist_option_punit`: closed form for binary distributions
Supersedes #33680 with a complete, sorry-free implementation.
See Zulip discussion:
This PR was authored with the support of Claude (Cursor IDE).
---
This PR provides a complete formalization of total variation distance for PMFs, including:
1. **`ENNReal.absDiff`** (`Mathlib/Data/ENNReal/AbsDiff.lean`): A symmetric absolute difference
for `ℝ≥0∞` with triangle inequality, connection to real absolute value, and algebraic properties.
The tsum-related lemmas (`absDiff_tsum_le`, `tsum_fiber`) are placed in the TV distance file
to avoid pulling topology imports into `Data.ENNReal`.
2. **`PMF.etvDist` / `PMF.tvDist`** (`Mathlib/Probability/ProbabilityMassFunction/TotalVariation.lean`):
Total variation distance with a `MetricSpace` instance, data processing inequality for both
deterministic maps and Markov kernels, and a closed form for binary distributions.
Compared to #33680, this PR:
- Has no `sorry`s
- Defines the distance in `ℝ≥0∞` first (following Mathlib convention for `edist`/`dist`)
- Includes the data processing inequality
- Has full documentation and passes all Mathlib linters
Made with [Cursor](https://cursor.com) |
t-measure-probability
LLM-generated
|
459/0 |
Mathlib.lean,Mathlib/Data/ENNReal/AbsDiff.lean,Mathlib/Probability/ProbabilityMassFunction/TotalVariation.lean |
3 |
6 |
['BoltonBailey', 'EtienneC30', 'github-actions', 'joneugster', 'quangvdao'] |
RemyDegenne assignee:RemyDegenne |
14-30472 14 days ago |
24-8396 24 days ago |
24-8943 24 days |
| 36314 |
JovanGerb author:JovanGerb |
feat(gcongr): support `rintro` patterns |
This PR adds support for `rintro` patterns in the `with` clause of `gcongr`. This makes it consistent with `congr!`.
I've only found one case in mathlib where this could actually be used to shorten a proof.
I split the gcongr `elab` into a separate `syntax` and `elab_rules`, which makes it easier to deal with the syntax.
I noticed that the implementation of `congr!` was unnecessarily converting back and forth between `rintroPat` and `rcasesPat`, so I changed it to simply only use `rintroPat`, and then did the same in `gcongr`.
---
[](https://gitpod.io/from-referrer/)
|
t-meta |
41/28 |
Mathlib/Combinatorics/SimpleGraph/Regularity/Uniform.lean,Mathlib/Tactic/CongrExclamation.lean,Mathlib/Tactic/Convert.lean,Mathlib/Tactic/Core.lean,Mathlib/Tactic/GCongr/Core.lean |
5 |
2 |
['dupuisf', 'github-actions'] |
dwrensha assignee:dwrensha |
13-81548 13 days ago |
23-44595 23 days ago |
23-44489 23 days |
| 35415 |
joneugster author:joneugster |
feat(Cache): enable partial cache in downstream projects |
Migrated to fork from: #21238.
Add features to `cache` and cleanup code:
* enable partial cache retrieval in downstream projects: `lake exe cache get MyProject.Basic` downloads only the relevant cache to build `MyProject/Basic.lean`
---
### Notes:
- replaces: #21195
- should address: #8767
- should address: #20568
### Completed:
- [x] depends on: #21632
- [x] ~~depends on: #21663~~
- [x] depends on: #21666
- [x] depends on: #21701
- [x] depends on: #21703
- [x] depends on: #21704
- [x] depends on: #21705
- [x] depends on: #21707
- [x] depends on: #21711
- [x] depends on: #21750
- [x] depends on: #21815
- [x] depends on: #21816
- [x] depends on: #21817
- [x] depends on: #21818
- [x] depends on: #21822
- [x] depends on: #21830
- [x] depends on: #21848
- [x] depends on: #21834
[](https://gitpod.io/from-referrer/)
|
CI
t-meta
|
34/15 |
Cache/Hashing.lean,Cache/IO.lean,Cache/Main.lean |
3 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
13-54408 13 days ago |
31-32333 31 days ago |
33-70594 33 days |
| 34854 |
GrigorenkoPV author:GrigorenkoPV |
chore(Combinatorics/Enumerative/Catalan): split into `Basic` & `Tree` |
---
Split off from #34853
[](https://gitpod.io/from-referrer/)
|
new-contributor |
227/194 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/Catalan.lean,Mathlib/Combinatorics/Enumerative/Catalan/Basic.lean,Mathlib/Combinatorics/Enumerative/Catalan/Tree.lean,Mathlib/Combinatorics/Enumerative/DyckWord.lean,Mathlib/RingTheory/PowerSeries/Catalan.lean |
6 |
5 |
['SnirBroshi', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
thorimur assignee:thorimur |
13-28267 13 days ago |
13-28293 13 days ago |
33-17958 33 days |
| 36606 |
harahu author:harahu |
chore(AlgebraicGeometry): fix markdown list indentation |
We replace lazy continuation lines in lists with either:
- indented lines, to signify that the line is indeed a continuation line; or
- a newline, where the continuation line(s) were in fact intended to be disconnected from the list.
We do this because lazy continuation is a markdown footgun that one does well to avoid.
We also standardize indentation such that continuation lines now line up with the first line of the item they're continuing. This seems to be the solution enforced by markdown formatters, e.g. `mdformat`.
---
[](https://gitpod.io/from-referrer/)
|
t-algebraic-geometry |
19/17 |
Mathlib/AlgebraicGeometry/Gluing.lean,Mathlib/AlgebraicGeometry/Morphisms/Basic.lean,Mathlib/AlgebraicGeometry/Morphisms/Flat.lean,Mathlib/AlgebraicGeometry/Morphisms/RingHomProperties.lean,Mathlib/AlgebraicGeometry/Properties.lean |
5 |
3 |
['chrisflav', 'github-actions', 'harahu'] |
alexjbest assignee:alexjbest |
13-20614 13 days ago |
13-20614 13 days ago |
17-16917 17 days |
| 35593 |
chrisflav author:chrisflav |
feat(RingTheory/Extension): naive cotangent complex commutes with flat base change |
From Pi1.
---
- [x] depends on: #35544
- [x] depends on: #35557
- [x] depends on: #35594
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
210/11 |
Mathlib/RingTheory/Extension/Basic.lean,Mathlib/RingTheory/Extension/Cotangent/BaseChange.lean,Mathlib/RingTheory/Extension/Generators.lean,Mathlib/RingTheory/Ideal/Cotangent.lean |
4 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
mariainesdff assignee:mariainesdff |
12-81568 12 days ago |
13-10968 13 days ago |
13-13061 13 days |
| 36545 |
yuanyi-350 author:yuanyi-350 |
feat(ProbabilityTheory): Add Kolmogorov's inequality |
ref: https://en.wikipedia.org/wiki/Kolmogorov%27s_inequality
---
- [x] depends on: #36542
[](https://gitpod.io/from-referrer/)
|
t-measure-probability
large-import
|
147/0 |
Mathlib.lean,Mathlib/Probability/CondVar.lean,Mathlib/Probability/Martingale/Kolmogorov.lean,Mathlib/Probability/Martingale/OptionalStopping.lean |
4 |
3 |
['CoolRmal', 'github-actions', 'mathlib-dependent-issues'] |
RemyDegenne assignee:RemyDegenne |
12-81558 12 days ago |
17-46530 17 days ago |
17-48085 17 days |
| 36786 |
SproutSeeds author:SproutSeeds |
feat(DoubleCounting): parity of odd-degree vertices in bipartite incidence |
Adds `odd_card_filter_odd_bipartiteAbove_iff_odd_card_filter_odd_bipartiteBelow` to
`Mathlib.Combinatorics.Enumerative.DoubleCounting`.
This is the small parity-helper first step for #25231.
Validation:
- `lake build Mathlib.Combinatorics.Enumerative.DoubleCounting`
Supersedes closed #36077 after replaying the helper cleanly on current `master`.
AI usage: used Codex for branch recovery, replay onto current `master`, and draft wording;
final code choices and verification by me.
|
new-contributor
t-combinatorics
large-import
|
17/0 |
Mathlib/Combinatorics/Enumerative/DoubleCounting.lean |
1 |
2 |
['github-actions'] |
nobody |
12-76057 12 days ago |
12-76140 12 days ago |
12-75906 12 days |
| 36806 |
grunweg author:grunweg |
fix(Tactic/Continuity): mark Continuous.comp' as unsafe |
This issue was pre-existing: `Continuous.comp'` was never full safe, as a constant function could be written as the composition of any function and a constant function (and then applying the lemma could lead to something unprovable). The change in #31607 triggered such a case: make is an unsafe rule with very high probability instead.
This change broke three proofs: one was easy to switch to fun_prop; the others seemed to depend on this being a safe rule. I have added a workaround for now.
There was another test failure, exposing a pre-existing internal bug in aesop. With smaller imports, continuity succeeds [zulip discussion](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/aesop.20error.20during.20proof.20reconstruction.2C.20goal.20not.20normalised/with/580202602), so I have accepted this result as fine.
---
[](https://gitpod.io/from-referrer/)
|
|
54/2 |
Mathlib/Analysis/RCLike/Basic.lean,Mathlib/Condensed/Light/TopCatAdjunction.lean,Mathlib/Condensed/TopCatAdjunction.lean,Mathlib/Topology/Continuous.lean,MathlibTest/Continuity.lean |
5 |
1 |
['github-actions'] |
nobody |
12-32925 12 days ago |
12-32926 12 days ago |
12-32700 12 days |
| 33944 |
artie2000 author:artie2000 |
feat(Algebra/Ring): formally real rings |
* Define formally real rings
* Prove basic inductive facts about them
Co-authored-by: Violeta Hernández Palacios
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
155/0 |
Mathlib.lean,Mathlib/Algebra/Ring/IsFormallyReal.lean |
2 |
31 |
['artie2000', 'github-actions', 'mariainesdff', 'vihdzp'] |
mariainesdff assignee:mariainesdff |
12-25895 12 days ago |
12-26267 12 days ago |
49-71577 49 days |
| 28685 |
mitchell-horner author:mitchell-horner |
feat(Combinatorics/SimpleGraph): prove the minimal-degree version of the Erdős-Stone theorem |
Proves the minimal degree-version of the Erdős-Stone theorem:
If `G` has a minimal degree of at least `(1 - 1 / r + o(1)) * card V`, then `G` contains a copy of a `completeEquipartiteGraph` in `r + 1` parts each of size `t`.
The double-counting construction from the proof is available in `namespace ErdosStone`.
---
- [x] depends on: #25843
- [x] depends on: #27597
- [x] depends on: #27599
- [x] depends on: #28443
- [x] depends on: #28445
- [x] depends on: #28446
- [x] depends on: #28447
This is the first of several pull requests towards the full Erdős-Stone(-Simonovits) theorem, hence the name of the file.
[](https://gitpod.io/from-referrer/) |
t-combinatorics |
323/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Extremal/ErdosStoneSimonovits.lean |
2 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot'] |
YaelDillies assignee:YaelDillies |
11-81576 11 days ago |
28-61069 28 days ago |
28-60881 28 days |
| 35295 |
Rida-Hamadani author:Rida-Hamadani |
feat(SimpleGraph): `dropLast` of a cycle is a path |
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
14/0 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean,Mathlib/Combinatorics/SimpleGraph/Walks/Operations.lean |
2 |
7 |
['Rida-Hamadani', 'SnirBroshi', 'github-actions', 'mathlib-merge-conflicts', 'vlad902'] |
YaelDillies assignee:YaelDillies |
11-81573 11 days ago |
12-74711 12 days ago |
32-55607 32 days |
| 35963 |
Parcly-Taxel author:Parcly-Taxel |
refactor: review Kleene algebra axioms |
Derive
```lean
one_add_mul_kstar (a : α) : 1 + a * a∗ = a∗
one_add_kstar_mul (a : α) : 1 + a∗ * a = a∗
```
which is Proposition 2 in Kozen's 1994 paper.
We also remove the `bot` and `bot_le` fields in `IdemSemiring`, since the remaining axioms already show `0 ≤ a` for all `a`. |
t-algebra label:t-algebra$ |
82/81 |
Mathlib/Algebra/Algebra/Operations.lean,Mathlib/Algebra/Order/Kleene.lean,Mathlib/AlgebraicGeometry/IdealSheaf/Basic.lean |
3 |
13 |
['Parcly-Taxel', 'dagurtomas', 'github-actions', 'plp127', 'vihdzp'] |
mattrobball assignee:mattrobball |
11-81568 11 days ago |
17-65953 17 days ago |
28-3191 28 days |
| 36832 |
KryptosAI author:KryptosAI |
chore(Data/Finset/Card): rename `pred_card_le_card_erase` to `sub_one_card_le_card_erase` |
## Summary
The name `pred_card_le_card_erase` suggests `Nat.pred` but the statement uses `- 1` (i.e., `Nat.sub 1`). Rename to `sub_one_card_le_card_erase` to match the actual statement.
A deprecated alias is added for backwards compatibility.
### Files changed
- `Mathlib/Data/Finset/Card.lean` — definition renamed + deprecated alias
- `Mathlib/Data/Finset/Powerset.lean` — reference updated
- `Mathlib/Combinatorics/Additive/SubsetSum.lean` — reference updated
- `Mathlib/Algebra/Polynomial/EraseLead.lean` — reference updated
Addresses the `Finset.pred_card_le_card_erase` item in #21584.
## AI disclosure
I used Claude Code to explore the codebase (finding all references to rename) and to draft the PR description. I reviewed and understand all changes — these are straightforward renames with a deprecated alias. |
new-contributor |
7/4 |
Mathlib/Algebra/Polynomial/EraseLead.lean,Mathlib/Combinatorics/Additive/SubsetSum.lean,Mathlib/Data/Finset/Card.lean,Mathlib/Data/Finset/Powerset.lean |
4 |
2 |
['github-actions'] |
nobody |
11-73864 11 days ago |
12-36 11 days ago |
12-2700 12 days |
| 36705 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Walks/Operations): permutations of support and cleaning up append/concat |
---
The cleaning-up follows the feedback from https://github.com/leanprover-community/mathlib4/pull/35630#issuecomment-4035207900 and https://github.com/leanprover-community/mathlib4/pull/35631#discussion_r2936736735
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
38/21 |
Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean,Mathlib/Combinatorics/SimpleGraph/Hamiltonian.lean,Mathlib/Combinatorics/SimpleGraph/Paths.lean,Mathlib/Combinatorics/SimpleGraph/Walks/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Walks/Decomp.lean,Mathlib/Combinatorics/SimpleGraph/Walks/Operations.lean,Mathlib/Combinatorics/SimpleGraph/Walks/Subwalks.lean |
7 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
11-59819 11 days ago |
11-59850 11 days ago |
14-76185 14 days |
| 36472 |
EtienneC30 author:EtienneC30 |
feat: finite dimensional distribution of Brownian motion |
Define `gaussianProjectiveFamily : (I : Finset ℝ≥0) → Measure (I → ℝ)`. Each `gaussianProjectiveFamily I` is the centered Gaussian measure over `I → ℝ` with covariance matrix given by `brownianCovMatrix I s t := min s t`.
Prove that these measures satisfy `IsProjectiveMeasureFamily`, which means that they can be extended into a measure over `ℝ≥0 → ℝ` thanks to the Kolmogorov's extension theorem (not in Mathlib yet). The obtained measure is a measure over the set of real processes indexed by `ℝ≥0` and is the law of the Brownian motion.
---
- [x] depends on: #36143
[](https://gitpod.io/from-referrer/)
|
brownian
t-measure-probability
|
226/1 |
Mathlib.lean,Mathlib/MeasureTheory/Function/L2Space.lean,Mathlib/Probability/BrownianMotion/GaussianProjectiveFamily.lean,Mathlib/Probability/Distributions/Gaussian/HasGaussianLaw/Basic.lean,Mathlib/Probability/Moments/Basic.lean |
5 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
kex-y assignee:kex-y |
11-57805 11 days ago |
14-45988 14 days ago |
14-45755 14 days |
| 36802 |
YaelDillies author:YaelDillies |
feat(Combinatorics/SimpleGraph): hamiltonians graphs don't contain bridges |
Replace the longer proof which further assumed that the vertex set has at least three elements.
---
- [x] depends on: #36800
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
large-import
|
88/79 |
Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/EdgeConnectivity.lean,Mathlib/Combinatorics/SimpleGraph/Hamiltonian.lean,Mathlib/Combinatorics/SimpleGraph/Paths.lean,Mathlib/Combinatorics/SimpleGraph/Walks/Decomp.lean |
5 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
11-47015 11 days ago |
11-47037 11 days ago |
12-21590 12 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.
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
51/37 |
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/Walks/Decomp.lean,Mathlib/Combinatorics/SimpleGraph/Walks/Operations.lean |
7 |
5 |
['SnirBroshi', 'YaelDillies', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
11-46722 11 days ago |
11-46751 11 days ago |
12-14234 12 days |
| 36736 |
loefflerd author:loefflerd |
feat(NumberTheory/Modular): strengthen 2nd Fundamental-Domain Lemma |
Strengthen the results on the fundamental domain for the modular group, by proving that the interior of the fundamental domain is disjoint from any translate of the fundamental domain.
Proof closely follows Serre _A Course in Arithmetic_ (although Serre also proves that S, T generate the modular group at the same time, which we do not do, since this is proved by a different method in `FixedDetMatrices`).
---
[](https://gitpod.io/from-referrer/)
|
t-number-theory |
385/56 |
Mathlib/Analysis/Complex/UpperHalfPlane/Basic.lean,Mathlib/Analysis/Complex/UpperHalfPlane/MoebiusAction.lean,Mathlib/LinearAlgebra/Matrix/SpecialLinearGroup.lean,Mathlib/NumberTheory/Modular.lean,docs/references.bib |
5 |
14 |
['CBirkbeck', 'github-actions', 'loefflerd', 'tb65536'] |
tb65536 assignee:tb65536 |
11-30488 11 days ago |
14-11937 14 days ago |
14-29453 14 days |
| 36856 |
harahu author:harahu |
doc(Geometry): tidy bibliography entry |
Use canonical author names and rename the bib key to match the corrected ASCII transcription of Domínguez. Sources: https://fama.iff.csic.es/personas/margalef/margalef.html ; https://produccioncientifica.ucm.es/investigadores/166066/tesis
Normalize the title and move the translation information into a note phrased as 'Translated from the Spanish original'. Sources: https://books.google.com/books/about/Differential_Topology.html?id=gexAr04vRT4C ; https://books.google.com/books/about/Topolog%C3%ADa_diferencial.html?id=0PRMy3ffm4QC
Use the conventional publisher form 'North-Holland Publishing Co., Amsterdam' instead of the imported catalog-style field. Sources: https://search.worldcat.org/title/Differential-topology/oclc/25713102 ; https://www.ams.org/tran/2010-362-08/S0002-9947-10-05073-7/
Prepared with assistance from Codex.
---
[](https://gitpod.io/from-referrer/)
|
t-differential-geometry
LLM-generated
|
8/7 |
Mathlib/Geometry/Manifold/Immersion.lean,docs/references.bib |
2 |
4 |
['github-actions', 'grunweg', 'harahu'] |
PatrickMassot assignee:PatrickMassot |
10-81563 10 days ago |
11-11144 11 days ago |
11-22131 11 days |
| 36833 |
harahu author:harahu |
doc: demote repeated H1 headers |
Having more than one H1 header per file confuses search engines and thus makes documentation more difficult to find. Hence, we make sure that lean files only have a single H1 header in them.
In the case of `Mathlib/Tactic/Common.lean`, we achieve this by adding a new module header.
---
[](https://gitpod.io/from-referrer/)
|
|
12/10 |
Archive/Imo/Imo2002Q3.lean,Archive/Imo/Imo2010Q5.lean,Mathlib/Geometry/Manifold/VectorBundle/LocalFrame.lean,Mathlib/Probability/Distributions/Gaussian/HasGaussianLaw/Basic.lean,Mathlib/RingTheory/LocalProperties/Injective.lean,Mathlib/RingTheory/LocalProperties/ProjectiveDimension.lean,Mathlib/RingTheory/QuasiFinite/Weakly.lean,Mathlib/Tactic/Common.lean,Mathlib/Tactic/Linter/EmptyLine.lean |
9 |
2 |
['github-actions', 'harahu', 'vihdzp'] |
nobody |
10-52743 10 days ago |
12-6840 12 days ago |
12-7010 12 days |
| 36886 |
Deep0Thinking author:Deep0Thinking |
feat(Combinatorics/Enumerative/Bonferroni): add Bonferroni inequalities |
This PR adds Bonferroni inequalities.
Main theorems:
- `Finset.indicator_biUnion_le_bonferroniIndicator_of_odd`
- `Finset.bonferroniIndicator_le_indicator_biUnion_of_even`
- `Finset.card_biUnion_le_bonferroniCard_of_odd`
- `Finset.bonferroniCard_le_card_biUnion_of_even`
Co-authored-by: Claude (Opus 4.6)
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
334/4 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/Bonferroni.lean,Mathlib/Combinatorics/Enumerative/InclusionExclusion.lean |
3 |
2 |
['github-actions'] |
nobody |
10-30593 10 days ago |
10-30680 10 days ago |
10-31275 10 days |
| 34227 |
stepan2698-cpu author:stepan2698-cpu |
feat: If sum of densities is at least one, the sumset covers the naturals |
Proves an outstanding TODO item from Mathlib.Combinatorics.Schnirelmann : shows that if the sum of two densities is at least one, the sumset covers the positive naturals.
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
51/1 |
Mathlib/Combinatorics/Schnirelmann.lean |
1 |
3 |
['github-actions', 'grunweg', 'kbuzzard'] |
b-mehta assignee:b-mehta |
10-27757 10 days ago |
68-1455 68 days ago |
68-15324 68 days |
| 36210 |
vbeffara author:vbeffara |
feat(Combinatorics/SimpleGraph): definitions of graph contraction and graph minor |
A contraction is the image of a graph through a surjective function with connected fibers, and a minor is a contraction of a subgraph.
This PR shows that being a contraction is transitive, but does not show the same for minors because the proof is more involved, it will be in a subsequent PR. The definitions are in `Prop` and do not contain data, but I'm not sure if that was the right choice.
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
151/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Contraction.lean,Mathlib/Combinatorics/SimpleGraph/Minor.lean |
3 |
7 |
['YaelDillies', 'github-actions', 'mathlib-merge-conflicts', 'vbeffara'] |
YaelDillies assignee:YaelDillies |
10-26793 10 days ago |
11-34720 11 days ago |
24-61076 24 days |
| 35622 |
SnirBroshi author:SnirBroshi |
feat(Logic/Function/Basic): `onFun` and `swap` preserve relation properties |
---
[](https://gitpod.io/from-referrer/)
|
t-logic |
141/19 |
Mathlib/Data/DFinsupp/WellFounded.lean,Mathlib/Logic/Function/Basic.lean,Mathlib/Logic/Function/Defs.lean,Mathlib/Order/Defs/Unbundled.lean,Mathlib/Order/OrderIsoNat.lean,Mathlib/Order/RelClasses.lean,Mathlib/Order/WellFounded.lean,Mathlib/Order/WithBot.lean |
8 |
7 |
['SnirBroshi', 'github-actions', 'leanprover-radar', 'vihdzp'] |
awainverse assignee:awainverse |
9-81601 9 days ago |
24-72018 24 days ago |
36-55635 36 days |
| 36334 |
Multramate author:Multramate |
feat(AlgebraicGeometry/EllipticCurve): add notation and pretty printer for points |
Co-authored-by: Kenny Lau
---
[](https://gitpod.io/from-referrer/)
|
t-algebraic-geometry
t-meta
|
41/0 |
Mathlib/AlgebraicGeometry/EllipticCurve/Affine/Point.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Jacobian/Point.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Projective/Point.lean |
3 |
11 |
['CBirkbeck', 'Multramate', 'erdOne', 'github-actions', 'riccardobrasca'] |
kim-em assignee:kim-em |
9-81596 9 days ago |
23-11746 23 days ago |
23-11512 23 days |
| 36677 |
AlexeyMilovanov author:AlexeyMilovanov |
feat(Computability.Partrec): add computability of Nat.find |
This PR bridges `Partrec.rfind` with total unbounded search (`Nat.find`).
It adds:
* `Computable.find`: Proves that `x ↦ Nat.find (h_ex x)` is computable for a computable decidable predicate `P`.
* `Computable.rightInverse_of_surjective`: Proves that the right inverse of a computable surjective function is computable. |
t-computability
new-contributor
|
31/0 |
Mathlib/Computability/Partrec.lean |
1 |
5 |
['AlexeyMilovanov', 'github-actions', 'vlad902'] |
Komyyy assignee:Komyyy |
9-81590 9 days ago |
15-43365 15 days ago |
15-43131 15 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
---
[](https://gitpod.io/from-referrer/)
|
t-topology
brownian
t-measure-probability
|
254/0 |
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 |
7 |
['ADedecker', 'EtienneC30', 'github-actions'] |
urkud assignee:urkud |
9-81584 9 days ago |
10-55231 10 days ago |
11-26294 11 days |
| 36839 |
wwylele author:wwylele |
feat(Analysis/Normed): linear independence of PiLp.single |
This is just transferring the corresponding lemma from `Pi.single`, so one doesn't need to unfold `PiLp.single` to apply them.
---
[](https://gitpod.io/from-referrer/)
|
t-analysis |
31/0 |
Mathlib/Analysis/Normed/Lp/PiLp.lean |
1 |
4 |
['github-actions', 'themathqueen', 'wwylele'] |
sgouezel assignee:sgouezel |
9-81584 9 days ago |
11-80465 11 days ago |
11-80231 11 days |
| 36060 |
edegeltje author:edegeltje |
chore(CategoryTheory/Classifier): namespace Classifier, rename HasClassifier, move file |
The declaration `CategoryTheory.Classifier` (and various lemmas about it) is/are moved to the `Subobject` namespace.
The declaration `CategoryTheory.HasClassifier` is renamed `CategoryTheory.HasSubobjectClassifier`.
The file `CategoryTheory/Topos/Classifier.lean` is moved to `CategoryTheory/Subobject/Classifier/Defs.lean`.
Moves:
- Classifier.SubobjectRepresentableBy.* -> SubobjectRepresentableBy.*
- Classifier.* -> Subobject.Classifier.*
- HasClassifier.* -> HasSubobjectClassifier.*
[zulip discussion](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Subobject.20Classifier.20organizing/with/576778481)
---
[](https://gitpod.io/from-referrer/)
|
file-removed
t-category-theory
|
196/46 |
Mathlib.lean,Mathlib/CategoryTheory/Subobject/Classifier/Defs.lean,Mathlib/CategoryTheory/Topos/Sheaf.lean |
3 |
5 |
['dagurtomas', 'edegeltje', 'github-actions', 'mathlib-merge-conflicts'] |
joelriou assignee:joelriou |
9-39390 9 days ago |
9-39459 9 days ago |
26-24929 26 days |
| 34797 |
vlad902 author:vlad902 |
feat(SimpleGraph): `cycleGraph.cycle` is a cycle |
(A follow-up PR will show that `cycleGraph.cycle` is also hamiltonian.)
---
- [x] depends on: #35360
- [x] depends on: #34766
- [x] depends on: #34796
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
32/1 |
Mathlib/Combinatorics/SimpleGraph/Circulant.lean |
1 |
7 |
['Ruben-VandeVelde', 'github-actions', 'mathlib-dependent-issues', 'vlad902'] |
nobody |
9-24644 9 days ago |
11-21047 11 days ago |
12-49732 12 days |
| 31560 |
AntoineChambert-Loir author:AntoineChambert-Loir |
feat(Topology/Sion): the minimax theorem of von Neumann - Sion |
Prove `Sion.exists_isSaddlePointOn` :
Let X and Y be convex subsets of topological vector spaces E and F,
X being moreover compact,
and let f : X × Y → ℝ be a function such that
- for all x, f(x, ⬝) is upper semicontinuous and quasiconcave
- for all y, f(⬝, y) is lower semicontinuous and quasiconvex
Then inf_x sup_y f(x,y) = sup_y inf_x f(x,y).
The classical case of the theorem assumes that f is continuous,
f(x, ⬝) is concave, f(⬝, y) is convex.
As a particular case, one get the von Neumann theorem where
f is bilinear and E, F are finite dimensional.
We follow the proof of Komiya (1988).
## Remark on implementation
* The essential part of the proof holds for a function
`f : X → Y → β`, where `β` is a complete dense linear order.
* We have written part of it for just a dense linear order,
* On the other hand, if the theorem holds for such `β`,
it must hold for any linear order, for the reason that
any linear order embeds into a complete dense linear order.
However, this result does not seem to be known to Mathlib.
* When `β` is `ℝ`, one can use `Real.toEReal` and one gets a proof for `ℝ`.
## TODO
Give particular important cases (eg, bilinear maps in finite dimension).
Co-authored with @ADedecker
---
- [x] depends on: #31548
- [x] depends on: #31547
- [x] depends on: #31558
[](https://gitpod.io/from-referrer/)
|
t-topology |
756/0 |
Mathlib.lean,Mathlib/Data/EReal/Basic.lean,Mathlib/Topology/NhdsWithin.lean,Mathlib/Topology/Semicontinuity/Basic.lean,Mathlib/Topology/Sion.lean,docs/references.bib |
6 |
21 |
['AntoineChambert-Loir', 'github-actions', 'j-loreaux', 'mathlib-merge-conflicts', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'riccardobrasca', 'thorimur'] |
dwrensha, j-loreaux, kmill assignee:kmill assignee:dwrensha assignee:j-loreaux |
9-21297 9 days ago |
11-45947 11 days ago |
105-3424 105 days |
| 36421 |
ROTARTSI82 author:ROTARTSI82 |
feat(RingTheory/IsAdjoinRoot): add mkOfAdjoinEqTop' |
Alternative hypothesis to existing theorem: prove the result from a `Module.Free `hypothesis instead of `IsIntegrallyClosed`. If `α` generates `S` as an algebra, then `S` is given by adjoining a root of `minpoly R α`.
---
Hello, we are the Algebraic Geometry group from the UW Math AI lab, and this is our first PR! This definition of `mkOfAdjoinEqTop'` generalizes the existing `mkOfAdjoinEqTop` and shows the result from `Module.Free` instead of `IsIntegrallyClosed`. It is used in future results that we would like to upstream at https://github.com/uw-math-ai/monogenic-extensions, which is a project to formalize lemmas 3.1 and 3.2 from https://arxiv.org/abs/2503.07846.
Co-authored-by: George Peykanu
Co-authored-by: Bryan Boehnke
Co-authored-by: Bianca Viray <67076332+b-viray@users.noreply.github.com>
-->
[](https://gitpod.io/from-referrer/)
|
new-contributor
large-import
t-ring-theory
|
47/0 |
Mathlib/FieldTheory/Minpoly/Basic.lean,Mathlib/RingTheory/IsAdjoinRoot.lean |
2 |
4 |
['ROTARTSI82', 'b-viray', 'github-actions'] |
dupuisf assignee:dupuisf |
9-18325 9 days ago |
20-82898 20 days ago |
20-82664 20 days |
| 34742 |
Brian-Nugent author:Brian-Nugent |
feat(SheafCohomology): add API for Sheaf Cohomology |
Defines the long exact sequence on cohomology associated to a short exact sequence of sheaves `H.longSequence`. Also defines `H.equiv₀`, the additive equivalence between `H F 0` and `((sheafSections J AddCommGrpCat).obj (op T)).obj F` when the category has a terminal object `T`.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
large-import
t-category-theory
|
87/3 |
Mathlib/Algebra/Category/Grp/ForgetCorepresentable.lean,Mathlib/CategoryTheory/Sites/Abelian.lean,Mathlib/CategoryTheory/Sites/SheafCohomology/Basic.lean |
3 |
33 |
['Brian-Nugent', 'adamtopaz', 'dagurtomas', 'github-actions', 'joelriou', 'joneugster', 'mathlib-merge-conflicts'] |
adamtopaz assignee:adamtopaz |
9-18147 9 days ago |
9-18147 9 days ago |
47-65368 47 days |
| 34805 |
DavidLedvinka author:DavidLedvinka |
feat(Tactic): generalize ofScientific NormNum extension to `DivisionSemiring` |
Co-authored-by: @hrmacbeth |
t-meta |
68/20 |
Mathlib/Tactic/NormNum/Inv.lean,Mathlib/Tactic/NormNum/OfScientific.lean,MathlibTest/norm_num.lean |
3 |
26 |
['DavidLedvinka', 'JovanGerb', 'b-mehta', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts', 'thorimur'] |
JovanGerb assignee:JovanGerb |
9-12140 9 days ago |
9-12141 9 days ago |
29-53319 29 days |
| 34315 |
LessnessRandomness author:LessnessRandomness |
feat(Combinatorics/SimpleGraph/Bipartite): Prove upper bound of edge set cardinality of bipartite graph |
Two ways to express upper bound of the edge set of bipartite graph:
1) If the cardinalities of both parts/sets, that make bipartite graph, are known, then the upper bound is equal to product of the cardinalities of both parts;
2) Four times of the cardinality of the edge set is less or equal to squared cardinality of vertex set.
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
54/0 |
Mathlib/Combinatorics/SimpleGraph/Bipartite.lean |
1 |
56 |
['LessnessRandomness', 'SnirBroshi', 'b-mehta', 'github-actions', 'mathlib-merge-conflicts', 'vlad902'] |
awainverse assignee:awainverse |
9-11177 9 days ago |
9-11247 9 days ago |
61-2963 61 days |
| 35879 |
Jun2M author:Jun2M |
feat(Combinatorics/Graph): Add graph deletion operations |
This PR adds definitions and basic lemmas for deleting edges and vertices from a graph in Mathlib/Combinatorics/Graph/Delete.lean.
It introduces the following operations:
- `G ↾ F` (edgeRestrict): The subgraph of G restricted to the edges in F (vertices are preserved).
- `G ＼ F` (edgeDelete): The subgraph of G with the edges in F deleted.
- `G[X]` (induce): The subgraph of G induced by the set of vertices X.
- `G - X` (vertexDelete): The graph obtained from G by deleting the set of vertices X.
These definitions are accompanied by simp lemmas describing their edge sets, incidence relations, and basic properties such as monotonicity.
Co-authored-by: Peter Nelson [apn.uni@gmail.com](mailto:apn.uni@gmail.com)
---
- [x] depends on: #26770
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
208/0 |
Mathlib.lean,Mathlib/Combinatorics/Graph/Delete.lean |
2 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
9-3398 9 days ago |
9-3967 9 days ago |
9-9918 9 days |
| 35413 |
joneugster author:joneugster |
fix(Util/CountHeartbeats): move elaboration in #count_heartbeats inside a namespace |
This PR continues the work from #21182.
Original PR: https://github.com/leanprover-community/mathlib4/pull/21182 |
t-meta |
73/6 |
Mathlib/Util/CountHeartbeats.lean,MathlibTest/CountHeartbeats.lean |
2 |
3 |
['github-actions', 'joneugster', 'mathlib-bors'] |
alexjbest and dwrensha assignee:dwrensha assignee:alexjbest |
8-81592 8 days ago |
42-24827 42 days ago |
42-24593 42 days |
| 33714 |
idontgetoutmuch author:idontgetoutmuch |
feat(Mathlib/Geometry/Manifold): Riemannian metrics exist II |
Supersedes https://github.com/leanprover-community/mathlib4/pull/33519
---
[](https://gitpod.io/from-referrer/)
|
t-differential-geometry
new-contributor
|
680/0 |
Mathlib.lean,Mathlib/Geometry/Manifold/ExistsRiemannianMetric.lean,Mathlib/Geometry/Manifold/PartitionOfUnity.lean |
3 |
200 |
['github-actions', 'grunweg', 'idontgetoutmuch'] |
grunweg, ocfnash, sgouezel assignee:ocfnash assignee:grunweg assignee:sgouezel |
8-81581 8 days ago |
29-27655 29 days ago |
43-57596 43 days |
| 35653 |
pepamontero author:pepamontero |
feat: add ChartedSpace structure on orbit space |
feat: add ChartedSpace structure on orbit space
Add topological preliminaries for properly discontinuous group actions, and use them to equip the orbit space `orbitRel.Quotient G M` with a `ChartedSpace` structure.
In particular:
- Show that the quotient map `Quotient.mk _ : M → orbitRel.Quotient G M` is a covering map and hence a local homeomorphism.
- Construct chosen local inverses of the quotient map and establish properties over them.
- Define a `ChartedSpace` instance on the quotient by composing these local inverses with charts of M.
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.
---
|
new-contributor
t-differential-geometry
|
186/0 |
Mathlib.lean,Mathlib/Geometry/Manifold/Instances/OrbitSpace.lean,Mathlib/Topology/Algebra/OrbitSpace.lean |
3 |
2 |
['github-actions'] |
PatrickMassot, ocfnash, sgouezel assignee:ocfnash assignee:sgouezel assignee:PatrickMassot |
8-81580 8 days ago |
36-14223 36 days ago |
36-14664 36 days |
| 35414 |
joneugster author:joneugster |
feat(Cache): Allow arguments of the form `Mathlib.Data.+` which correspond to a folder but not a file |
This PR continues the work from #21838.
Original PR: https://github.com/leanprover-community/mathlib4/pull/21838 |
CI
t-meta
|
74/31 |
Cache/IO.lean,Cache/Main.lean |
2 |
2 |
['github-actions', 'joneugster'] |
nobody |
8-81578 8 days ago |
42-24755 42 days ago |
42-24521 42 days |
| 36682 |
harahu author:harahu |
chore(Data): avoid lazy continuation in md lists |
We replace lazy continuation lines in lists with either:
- indented lines, to signify that the line is indeed a continuation line; or
- a newline, where the continuation line(s) were in fact intended to be disconnected from the list.
We do this because lazy continuation is a markdown footgun that one does well to avoid.
We also standardize indentation such that continuation lines now line up with the first line of the item they're continuing. This seems to be the solution enforced by markdown formatters, e.g. `mdformat`.
---
[](https://gitpod.io/from-referrer/)
|
t-data |
24/14 |
Mathlib/Data/Bracket.lean,Mathlib/Data/Fin/Basic.lean,Mathlib/Data/Fin/FlagRange.lean,Mathlib/Data/Finset/Density.lean,Mathlib/Data/Finsupp/MonomialOrder.lean,Mathlib/Data/Finsupp/MonomialOrder/DegLex.lean,Mathlib/Data/Multiset/DershowitzManna.lean,Mathlib/Data/NNRat/Defs.lean,Mathlib/Data/PNat/Xgcd.lean,Mathlib/Data/Part.lean,Mathlib/Data/Stream/Defs.lean |
11 |
1 |
['github-actions'] |
joneugster assignee:joneugster |
8-81573 8 days ago |
15-32634 15 days ago |
15-32400 15 days |
| 36783 |
wwylele author:wwylele |
feat(RingTheory/Localization): R ⧸ pⁿ ≃+* Rₚ ⧸ (maximalIdeal Rₚ)ⁿ |
This extends the existing `def equivQuotMaximalIdeal : R ⧸ p ≃+* Rₚ ⧸ maximalIdeal Rₚ` to powers of maximal ideals.
---
Disclosure of AI usage: I chat with AI for a sketch of the proof. The code is entirely written by me.
I didn't state the simp lemma for the symm direction because I am not sure how to state it. Following the analog of equivQuotMaximalIdeal_symm_apply_mk, this should be
```
theorem equivQuotMaximalIdealPow_symm_apply_mk (x : R) (s : p.primeCompl) :
(equivQuotMaximalIdealPow p Rₚ n).symm (Ideal.Quotient.mk _ (IsLocalization.mk' Rₚ x s)) =
(Ideal.Quotient.mk (p ^ n) x) * (Ideal.Quotient.mk (p ^ n) s)⁻¹ := by
```
But `(Ideal.Quotient.mk (p ^ n) s)⁻¹` is taking inverse in a non-field ring. Here the inverse always exists because s is not in p. What is the mathlib way to say this?
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
large-import
|
53/0 |
Mathlib/Algebra/Ring/Subring/Basic.lean,Mathlib/RingTheory/Ideal/Quotient/Nilpotent.lean,Mathlib/RingTheory/Localization/AtPrime/Basic.lean |
3 |
1 |
['github-actions'] |
chrisflav assignee:chrisflav |
8-81570 8 days ago |
12-81535 12 days ago |
12-81301 12 days |
| 36910 |
Brian-Nugent author:Brian-Nugent |
feat(CategoryTheory): 4 and 5 lemmas for ComposableArrows 5 |
Adds versions of the 4 and 5 lemmas for morphisms in `ComposableArrows 5`.
---
[](https://gitpod.io/from-referrer/)
|
t-category-theory
new-contributor
|
71/2 |
Mathlib/CategoryTheory/Abelian/DiagramLemmas/Four.lean |
1 |
2 |
['github-actions'] |
adamtopaz assignee:adamtopaz |
8-81565 8 days ago |
10-20211 10 days ago |
10-19977 10 days |
| 36626 |
SnirBroshi author:SnirBroshi |
feat(Order/UpperLower/Basic): an injective function constrained by the identity function using a well-order is the identity |
---
(yes I know `IsLowerSet` is bundled but I need the theorems for unbundled relations 🙈)
[](https://gitpod.io/from-referrer/)
|
t-order |
30/0 |
Mathlib/Order/UpperLower/Basic.lean |
1 |
6 |
['SnirBroshi', 'YaelDillies', 'github-actions', 'vihdzp'] |
YaelDillies assignee:YaelDillies |
8-54567 8 days ago |
16-81564 16 days ago |
16-81330 16 days |
| 36954 |
FMLJohn author:FMLJohn |
feat(Topology/ClosedBases): `TopologicalSpace.IsClosedBasis` and `TopologicalSpace.IsClosedSubbasis s` |
---
[](https://gitpod.io/from-referrer/)
In this pull request, I have defined closed bases and closed subbases of topologies, and proved some basic properties of them.
## Main definitions
* `TopologicalSpace.IsClosedBasis s`: A closed basis of a topological space `α` is a collection of closed sets `s : Set (Set α)` such that every closed subset of `α` can be written as an intersection of elements of `s`.
* `TopologicalSpace.IsClosedSubbasis s`: Given a topological space `α`, `s : Set (Set α)` is a closed subbasis if the topology on `α` equals `generateFrom { uᶜ | u ∈ s }`. |
t-topology |
122/0 |
Mathlib.lean,Mathlib/Topology/Bases.lean,Mathlib/Topology/ClosedBases.lean |
3 |
1 |
['github-actions'] |
PatrickMassot assignee:PatrickMassot |
8-17231 8 days ago |
9-25290 9 days ago |
9-27122 9 days |
| 36462 |
wwylele author:wwylele |
feat(Geometry/Euclidean): integration formula for μHE |
A step towards #34826.
---
The location of `MeasureTheory.volume_eq_of_finrank_eq_one` feels a bit random. I'd like to put it in some early files, but it uses measure preserving of isometry in Mathlib/MeasureTheory/Measure/Haar/InnerProductSpace.lean, which is why it ended up there
[](https://gitpod.io/from-referrer/)
|
t-measure-probability
t-euclidean-geometry
|
138/5 |
Mathlib/Geometry/Euclidean/Volume/Measure.lean,Mathlib/MeasureTheory/MeasurableSpace/Embedding.lean,Mathlib/MeasureTheory/Measure/Haar/InnerProductSpace.lean |
3 |
15 |
['copilot-pull-request-reviewer', 'eric-wieser', 'github-actions', 'wwylele'] |
RemyDegenne assignee:RemyDegenne |
8-14947 8 days ago |
20-443 20 days ago |
20-209 20 days |
| 36781 |
hommmmm author:hommmmm |
feat(RingTheory/UniqueFactorizationDomain): UFD iff height one primes are principal |
We prove that a Noetherian integral domain is a UFD if and only if every prime ideal of height one is principal (`UniqueFactorizationMonoid.iff_height_one_prime_principal`).
## New declarations
* `UniqueFactorizationMonoid.exists_height_one_le_of_finite_height`: given a prime of finite height ≥ 1, there exists a height one prime contained in it.
* `UniqueFactorizationMonoid.ne_bot_of_height_one`: an ideal of height one is nonzero.
* `UniqueFactorizationMonoid.height_ge_one_of_prime_ne_bot`: the height of a nonzero prime ideal in a domain is at least one.
* `UniqueFactorizationMonoid.height_one_prime_principal`: in a UFD, every height one prime is principal.
* `UniqueFactorizationMonoid.of_height_one_prime_principal`: every height one prime being principal implies UFD (Noetherian case).
* `UniqueFactorizationMonoid.iff_height_one_prime_principal`: the full iff statement.
## References
See https://stacks.math.columbia.edu/tag/0AFT
## AI Disclosure
This code is written without AI, then uses Claude Code with cameronfreer's [Lean4-skills](https://github.com/cameronfreer/lean4-skills) (specifically, the `review`, `refactor`, and `golf` workflow) for style changes, refactoring and golfing.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
large-import
|
102/1 |
Mathlib/RingTheory/UniqueFactorizationDomain/Kaplansky.lean |
1 |
8 |
['Thmoas-Guan', 'chrisflav', 'github-actions', 'hommmmm', 'tb65536'] |
mariainesdff assignee:mariainesdff |
8-12960 8 days ago |
8-12961 8 days ago |
12-48334 12 days |
| 36785 |
hommmmm author:hommmmm |
feat(RingTheory/Localization): Nagata's criterion for primality in localization away |
## Summary
- Add `dvd_of_mem_span_singleton_localization`: if `p` is prime and `p ∤ x`, then
membership in the span of the image of `x` in `R[1/p]` implies divisibility by `x`.
- Add `prime_of_prime_in_localization` (Nagata's criterion): if `p` is prime, `x` is
irreducible, and the image of `x` in `R[1/p]` is prime, then `x` is prime.
## References
- [Stacks Project, Tag 0AFU](https://stacks.math.columbia.edu/tag/0afu)
## AI Disclosure
This code is written without AI, then uses Claude Code with cameronfreer's [Lean4-skills](https://github.com/cameronfreer/lean4-skills) (specifically, the `review`, `refactor`, and `golf` workflow) for style changes, refactoring and golfing.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
|
72/0 |
Mathlib.lean,Mathlib/RingTheory/Localization/Away/Prime.lean |
2 |
4 |
['chrisflav', 'github-actions', 'hommmmm'] |
chrisflav assignee:chrisflav |
8-12960 8 days ago |
8-12960 8 days ago |
12-39347 12 days |
| 33662 |
Pjotr5 author:Pjotr5 |
feat(Algebra/Order/BigOperators/Expect): add lemmas and strict variants |
### Summary
- Combine `le_expect_nonempty_of_subadditive` and `le_expect_of_subadditive` into a single lemma `le_expect_of_subadditive`.
The extra assumptions `(hs : s.Nonempty)` and `(h_zero : m 0 = 0)` are unnecessary (since `m 0 = 0` follows from `h_div`).
This requires a small downstream update to `Mathlib/Analysis/RCLike/Basic.lean` (`norm_expect_le`).
- Add strict-inequality variants:
`expect_lt_expect`, `expect_lt`, `lt_expect`.
- Add existence lemmas:
`exists_le_of_expect_le_expect`, `exists_le_of_le_expect`, `exists_le_of_expect_le`,
and `exists_lt_of_expect_lt_expect`.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebra
label:t-algebra$ |
46/16 |
Mathlib/Algebra/Order/BigOperators/Expect.lean,Mathlib/Analysis/RCLike/Basic.lean |
2 |
6 |
['Pjotr5', 'b-mehta', 'github-actions'] |
b-mehta assignee:b-mehta |
8-10062 8 days ago |
8-10235 8 days ago |
83-51541 83 days |
| 35655 |
Rida-Hamadani author:Rida-Hamadani |
feat(SimpleGraph): strongly regular graphs have diameter 2 |
A strongly regular graph with positive `μ` must have diameter 2, as long as the vertex set is nontrivial and it is not complete.
---
- [x] depends on: #35657
This statement is useful in the literature, I wanted to add it after seeing it being used in the proof of the Hoffman-Singleton theorem.
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
18/0 |
Mathlib/Combinatorics/SimpleGraph/StronglyRegular.lean |
1 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
8-10018 8 days ago |
8-11617 8 days ago |
8-26901 8 days |
| 36657 |
BryceT233 author:BryceT233 |
feat(RingTheory): adds two lemmas on `Module.length` |
This PR adds two lemmas regarding the length of modules:
* `Submodule.length_le_restrictScalar` shows that the length of an $R$-submodule is less than or equal to its length as an $A$-submodule under scalar restriction.
* `Submodule.length_quotient_lt` shows that for a module of finite length, the length of a quotient module $M \big/ p$ is strictly less than the length of $M$ when the submodule $p$ is non-trivial.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
23/0 |
Mathlib/RingTheory/Length.lean |
1 |
1 |
['github-actions'] |
chrisflav assignee:chrisflav |
7-83757 7 days ago |
15-79622 15 days ago |
15-82238 15 days |
| 33143 |
wwylele author:wwylele |
feat(PowerSeries): pentagonal number theorem |
The proof is split in two files: `Mathlib/Topology/Algebra/InfiniteSum/Pentagonal.lean` for the algebraic part, and `Mathlib/RingTheory/PowerSeries/Pentagonal.lean` for the summability part. In the near future, I also plan to prove the real/complex version that branches off from the algebraic part.
---
- [ ] depends on: #30436
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
427/1 |
Mathlib.lean,Mathlib/RingTheory/PowerSeries/Pentagonal.lean,Mathlib/Topology/Algebra/InfiniteSum/Pentagonal.lean,docs/1000.yaml |
4 |
43 |
['copilot-pull-request-reviewer', 'github-actions', 'jcommelin', 'mathlib4-dependent-issues-bot', 'tb65536', 'urkud', 'vihdzp', 'wwylele'] |
eric-wieser assignee:eric-wieser |
7-81542 7 days ago |
35-52372 35 days ago |
93-52528 93 days |
| 34092 |
staroperator author:staroperator |
feat(SetTheory/ZFC): properties of `ZFSet.omega` |
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory |
77/10 |
Mathlib/SetTheory/ZFC/Basic.lean,Mathlib/SetTheory/ZFC/Ordinal.lean,Mathlib/SetTheory/ZFC/PSet.lean |
3 |
25 |
['Komyyy', 'github-actions', 'mathlib4-merge-conflict-bot', 'staroperator', 'vihdzp'] |
b-mehta assignee:b-mehta |
7-81536 7 days ago |
60-17103 60 days ago |
71-62284 71 days |
| 34093 |
YellPika author:YellPika |
feat(Order/OmegaCompletePartialOrder): add `OmegaCompletePartialOrder` instance for `Option` with basic `ωScottContinuous` lemmas |
---
- [x] depends on: #33941
[](https://gitpod.io/from-referrer/)
|
t-order
new-contributor
|
297/0 |
Mathlib.lean,Mathlib/Data/Option/Order.lean,Mathlib/Order/Monotone/Basic.lean,Mathlib/Order/OmegaCompletePartialOrder.lean |
4 |
5 |
['YellPika', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
Komyyy assignee:Komyyy |
7-81535 7 days ago |
54-63896 54 days ago |
54-66626 54 days |
| 34182 |
IlPreteRosso author:IlPreteRosso |
feat(Data/Finsupp/Single, Data/Finsupp/Indicator): Add set_indicator_singleton, indicator_singleton; golfed single_eq_set_indicator, single_eq_indicator |
[Mathlib.Data.Finsupp.Single](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Data/Finsupp/Single.html#Finsupp.single)
- Add `set_indicator_singleton`, golfed `single_eq_set_indicator`
[Mathlib.Data.Finsupp.Indicator](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Data/Finsupp/Indicator.html#Finsupp.indicator_apply)
- Add `indicator_singleton`, golfed `single_eq_indicator`
Continues the work from #34095 |
large-import
t-data
new-contributor
|
17/17 |
Mathlib/Data/Finsupp/Indicator.lean,Mathlib/Data/Finsupp/Single.lean |
2 |
29 |
['IlPreteRosso', 'eric-wieser', 'github-actions', 'mathlib-bors', 'urkud'] |
TwoFX assignee:TwoFX |
7-81533 7 days ago |
68-69884 68 days ago |
68-77643 68 days |
| 34756 |
Hagb author:Hagb |
feat(Algebra/Order/Monoid/Unbundled/WithTop): `AddEquiv` between `WithBot` |
It is like `Equiv.withBotCongr` but preserving also addition (`AddEquiv`), for a variant of degree of `MvPolynomial` that maps `0` to `⊥` submitted in #34759.
---
It is like [`Equiv.withBotCongr`](https://leanprover-community.github.io/mathlib4_docs/find/?pattern=Equiv.withBotCongr#doc) but preserving also addition ([`AddEquiv`](https://leanprover-community.github.io/mathlib4_docs/find/?pattern=AddEquiv#doc)).
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
39/0 |
Mathlib/Algebra/Order/Monoid/Unbundled/WithTop.lean |
1 |
3 |
['Hagb', 'github-actions', 'plp127'] |
eric-wieser assignee:eric-wieser |
7-81528 7 days ago |
52-81683 52 days ago |
55-33499 55 days |
| 34809 |
YaelDillies author:YaelDillies |
feat: induced subgraphs of complete multipartite graphs are complete multipartite |
From ProofBench
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
4/2 |
Mathlib/Combinatorics/SimpleGraph/CompleteMultipartite.lean |
1 |
1 |
['github-actions'] |
kmill assignee:kmill |
7-81528 7 days ago |
55-9811 55 days ago |
55-9577 55 days |
| 34820 |
staroperator author:staroperator |
feat(Order/Ideal): more results on order ideals |
Some iffs, closure of finite supremum, and that every proper ideal is contained in a maximal ideal.
---
[](https://gitpod.io/from-referrer/)
|
t-order
large-import
|
79/5 |
Mathlib/Order/Ideal.lean |
1 |
5 |
['bryangingechen', 'github-actions', 'leanprover-radar', 'staroperator'] |
Komyyy assignee:Komyyy |
7-81527 7 days ago |
47-86156 47 days ago |
54-45452 54 days |
| 34851 |
dennj author:dennj |
feat(Data/Matrix/Mul): add diagonal and transpose lemmas for vector operations |
This adds three lemmas for matrix-vector operations that serve as foundational support for future ML formalization:
- `vecMul_diagonal_dotProduct`: weighted inner product `x ᵥ* diagonal d ⬝ᵥ y = ∑ i, d i * x i * y i`
- `dotProduct_transpose_mulVec`: bilinear form symmetry `x ⬝ᵥ Aᵀ *ᵥ y = y ⬝ᵥ A *ᵥ x`
- `mul_diagonal_mulVec`: column-weighted sum `(A * diagonal d) *ᵥ x = ∑ i, (d i * x i) • A.col i`
These are basic linear algebra identities involving diagonal matrices and vector operations that appear frequently in machine learning contexts (weighted inner products, attention mechanisms, feature scaling, diagonal preconditioning). |
t-data
new-contributor
|
22/0 |
Mathlib/Data/Matrix/Mul.lean |
1 |
5 |
['dennj', 'eric-wieser', 'github-actions', 'themathqueen'] |
TwoFX assignee:TwoFX |
7-81526 7 days ago |
54-10660 54 days ago |
54-10426 54 days |
| 34875 |
banrovegrie author:banrovegrie |
feat(LinearAlgebra/Matrix): add Sherman-Morrison formula |
Mathlib has the matrix determinant lemma (`det_add_replicateCol_mul_replicateRow` in SchurComplement.lean) but lacked the corresponding inverse formula. This PR fills that gap.
- Add `Matrix.inv_add_vecMulVec`: Sherman-Morrison formula for `(A + uv^T)^{-1}`
- Add `Matrix.inv_sub_vecMulVec`: subtraction variant
- Add `Matrix.isUnit_det_add_vecMulVec`: invertibility under the formula's hypotheses
## Test plan
- [x] `lake build` passes
- [x] Lines within 100 char limit
- [x] All declarations have docstrings |
t-algebra
new-contributor
label:t-algebra$ |
135/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Matrix/ShermanMorrison.lean |
2 |
11 |
['Xxxjdjdid', 'banrovegrie', 'copilot-pull-request-reviewer', 'eric-wieser', 'github-actions', 'wwylele'] |
eric-wieser assignee:eric-wieser |
7-81525 7 days ago |
53-29892 53 days ago |
53-29658 53 days |
| 34963 |
Parcly-Taxel author:Parcly-Taxel |
feat(Archive): proof of the Robbins conjecture |
Cf. [#mathlib4 > Alternative axiomatization of boolean algebras @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Alternative.20axiomatization.20of.20boolean.20algebras/near/558900960) and #31924. |
t-algebra label:t-algebra$ |
610/0 |
Archive.lean,Archive/Robbins.lean |
2 |
1 |
['github-actions'] |
kim-em assignee:kim-em |
7-81524 7 days ago |
50-74150 50 days ago |
50-75568 50 days |
| 34994 |
bwangpj author:bwangpj |
feat: Countable.of_module_finite |
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
large-import
FLT
label:t-algebra$ |
7/0 |
Mathlib/LinearAlgebra/Countable.lean |
1 |
3 |
['bwangpj', 'eric-wieser', 'github-actions'] |
kim-em assignee:kim-em |
7-81523 7 days ago |
50-13264 50 days ago |
50-13030 50 days |
| 35365 |
wwylele author:wwylele |
feat(LinearAlgebra/Simplex): closedInterior = interior + face.closedInterior |
Intermediate lemma towards #34826. This will be used to show the measure on `interior` and `closedInterior` are equal, as the difference is a zero-measure set.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
53/0 |
Mathlib/LinearAlgebra/AffineSpace/Simplex/Basic.lean |
1 |
4 |
['copilot-pull-request-reviewer', 'github-actions'] |
eric-wieser assignee:eric-wieser |
7-81521 7 days ago |
32-31150 32 days ago |
43-26061 43 days |
| 35597 |
BryceT233 author:BryceT233 |
feat(AdicTopology): add lemmas about adic topology |
This PR adds APIs to transport topological and uniform properties of adic topologies across ring equivalences, By upgrading an ideal-preserving ring equivalence to a `UniformEquiv`, we provide natural congruence lemmas for adic completeness, precompleteness, and Hausdorffness, which serve as necessary topological preliminaries for the ongoing formalization of the Cohen Structure Theorem.
Co-authored-by: @Thmoas-Guan
---
[](https://gitpod.io/from-referrer/)
|
t-topology
new-contributor
|
55/2 |
Mathlib/RingTheory/AdicCompletion/Topology.lean,Mathlib/Topology/Algebra/Nonarchimedean/AdicTopology.lean |
2 |
7 |
['erdOne', 'github-actions'] |
PatrickMassot assignee:PatrickMassot |
7-81519 7 days ago |
34-72943 34 days ago |
37-60069 37 days |
| 36308 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Subgraph): a couple of `subgraphOfAdj` lemmas |
---
Also golfed a lemma (it's one line longer but it looks simpler to me).
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
14/5 |
Mathlib/Combinatorics/SimpleGraph/Subgraph.lean |
1 |
1 |
['github-actions'] |
kmill assignee:kmill |
7-81515 7 days ago |
23-60792 23 days ago |
23-60558 23 days |
| 36787 |
hommmmm author:hommmmm |
feat(RingTheory/LocalRing): Krull dimension results for maximal ideal of local ring |
## Summary
This PR adds two results connecting the Krull dimension of a local ring to its maximal ideal:
* `IsLocalRing.ringKrullDim_eq_zero_of_maximalIdeal_eq_bot`: A local ring whose maximal ideal is `⊥` has Krull dimension zero.
* `IsLocalRing.exists_mem_maximalIdeal_not_mem_sq`: In a Noetherian local ring of positive Krull dimension, there exists an element in the maximal ideal that is not in its square.
The second result follows from Nakayama's lemma: if every element of the maximal ideal `𝔪` were in `𝔪²`, then `𝔪 = 𝔪²`, and Nakayama gives `𝔪 = ⊥`, contradicting positive dimension.
## New file
* `Mathlib/RingTheory/LocalRing/MaximalIdeal/KrullDimension.lean`
## Acknowledgements
Thanks to Dora Kassabova and Leopold Mayer for edit suggestions.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-ring-theory
|
57/0 |
Mathlib.lean,Mathlib/RingTheory/LocalRing/MaximalIdeal/KrullDimension.lean |
2 |
10 |
['NoahW314', 'github-actions', 'hommmmm', 'tb65536', 'wwylele'] |
chrisflav assignee:chrisflav |
7-81509 7 days ago |
12-12433 12 days ago |
12-74374 12 days |
| 36788 |
hommmmm author:hommmmm |
feat(RingTheory): height of span of a prime element is one |
## Summary
- Add `Ideal.height_span_singleton_eq_one_of_prime`: in a Noetherian integral domain, the ideal generated by a prime element has height one.
## Notes
The new theorem follows directly from `height_le_one_of_isPrincipal_of_mem_minimalPrimes` (upper bound) and the fact that `span {p} ≠ ⊥` for `p` prime (lower bound).
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
|
12/1 |
Mathlib/RingTheory/Ideal/KrullsHeightTheorem.lean |
1 |
2 |
['github-actions'] |
mattrobball assignee:mattrobball |
7-81508 7 days ago |
12-73837 12 days ago |
12-73603 12 days |
| 36789 |
hommmmm author:hommmmm |
feat(RingTheory/Ideal/Height): prime ideal determined by height among overideals |
## Summary
- Add `Ideal.eq_of_le_of_height_eq`: a prime ideal of finite height is equal to any ideal of the same height that contains it.
## Notes
This is a direct consequence of `Ideal.height_strict_mono_of_is_prime`: if `I` were strictly contained in `J`, their heights would differ.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
|
10/0 |
Mathlib/RingTheory/Ideal/Height.lean |
1 |
7 |
['github-actions', 'hommmmm', 'tb65536'] |
erdOne assignee:erdOne |
7-81508 7 days ago |
12-73545 12 days ago |
12-73311 12 days |
| 36813 |
AlexeyMilovanov author:AlexeyMilovanov |
feat(Computability.Encoding): add self-delimiting unary and pair encodings |
Adds `unaryPrefix` (a self-delimiting $1^n 0$ code) and `prefixPair` to `Mathlib.Computability.Encoding`.
**Key changes:**
* **`unaryPrefix`**: A prefix-free unary encoding for $\mathbb{N}$, distinct from the existing `unaryEncodeNat`.
* **`unaryPrefix_append_inj`**: A basic cancellation lemma that allows unique extraction of a unary prefix from a concatenated list.
* **`prefixPair`**: A self-delimiting pairing function for boolean lists, defined as $\text{unaryPrefix } |x| \frown x \frown y$.
* **`prefixPair_inj`**: A concise proof of pair injectivity leveraging the new prefix lemmas.
|
t-computability
new-contributor
|
56/1 |
Mathlib/Computability/Encoding.lean |
1 |
2 |
['github-actions'] |
Komyyy assignee:Komyyy |
7-81507 7 days ago |
12-28242 12 days ago |
12-28008 12 days |
| 36896 |
PieterCuijpers author:PieterCuijpers |
feat (Algebra/Order/Quantale): isMulIdempotent, isMulLeftsided, isMulRightsided, isMulTwosided and strict versions |
* Adding definitions of quantale elements being idempotent, leftsided, rightsided, and twosided, and strict versions
I'd value some discussion on whether especially the definition of isMulIdempotent would belong here, since
it applies to semigroups in general. I only see definitions of IdempotentOp in the library so far, focussing on
operators that are fully idempotent, while in the study of Quantales it seems that subquantales of elements
that are idempotent in the original are also interesting. This argues the need for having definitions on
separate elements.
Also, should we include these definitions in the main Algebra/Order/Quantale.lean file, or start a separate file for them?
And I have a few basic theorems I would like to include, but invite suggestions.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
105/1 |
Mathlib/Algebra/Order/Quantale.lean |
1 |
4 |
['NoahW314', 'github-actions'] |
kim-em assignee:kim-em |
7-81506 7 days ago |
10-47261 10 days ago |
10-47027 10 days |
| 36968 |
NoahW314 author:NoahW314 |
feat: add missing IndiscreteTopology instances |
Add several instances for the IndiscreteTopology. These instances are chosen as they have short proofs and imply many of the more common instances like `NormalSpace` and `LocPathConnectedSpace`.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-topology
|
21/0 |
Mathlib/Topology/AlexandrovDiscrete.lean,Mathlib/Topology/Constructions.lean,Mathlib/Topology/Irreducible.lean,Mathlib/Topology/Metrizable/Basic.lean |
4 |
2 |
['github-actions'] |
PatrickMassot assignee:PatrickMassot |
7-81502 7 days ago |
8-79898 8 days ago |
8-79664 8 days |
| 36970 |
astrainfinita author:astrainfinita |
chore: redefine `Nat.div2` `Nat.bodd` |
---
This PR continues the work from #13649.
Original PR: https://github.com/leanprover-community/mathlib4/pull/13649 |
t-data |
54/72 |
Mathlib/Computability/Primrec/Basic.lean,Mathlib/Data/Int/Bitwise.lean,Mathlib/Data/Nat/Bits.lean,Mathlib/Data/Nat/Bitwise.lean,Mathlib/Logic/Denumerable.lean,Mathlib/Logic/Encodable/Basic.lean,Mathlib/Logic/Equiv/Nat.lean |
7 |
2 |
['astrainfinita', 'github-actions'] |
TwoFX assignee:TwoFX |
7-81501 7 days ago |
8-70635 8 days ago |
8-75790 8 days |
| 33313 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Coloring/Edges): create a basic edge-coloring API |
---
About the filepath: This creates a `Coloring` folder, but I'm not sure whether the file should be named `Edges` or `Edge` or `EdgeColoring`.
Future work (which I'm working on):
- Relating degrees to edge-colorability (`G.maxDegree ≤ G.chromaticIndex`)
- [Vizing's theorem](https://en.wikipedia.org/wiki/Vizing%27s_theorem) (`G.chromaticIndex ≤ G.maxDegree + 1`)
- `chromaticIndex ⊤ = (if Even #V then #V - 1 else #V)`
- `[Infinite α] → chromaticIndex ⊤ = ⊤`
- [x] depends on: #33292
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
275/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/Edges.lean |
2 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
7-69188 7 days ago |
8-31450 8 days ago |
8-32217 8 days |
| 37017 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Maps): every homomorphism `f : H →g G` factors through `id : H →g G.comap f` |
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
19/0 |
Mathlib/Combinatorics/SimpleGraph/Copy.lean,Mathlib/Combinatorics/SimpleGraph/Maps.lean |
2 |
1 |
['github-actions'] |
nobody |
7-63635 7 days ago |
7-63376 7 days ago |
7-63671 7 days |
| 35627 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Finite): min/max degrees of top/bot |
And a couple of lemmas about `IsRegularOfDegree`, e.g. the empty graph is regular of any degree.
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
maintainer-merge
|
30/1 |
Mathlib/Combinatorics/SimpleGraph/Finite.lean,Mathlib/Combinatorics/SimpleGraph/StronglyRegular.lean |
2 |
15 |
['SnirBroshi', 'YaelDillies', 'github-actions', 'vlad902'] |
kmill assignee:kmill |
7-57345 7 days ago |
8-77767 8 days ago |
34-25836 34 days |
| 34633 |
mitchell-horner author:mitchell-horner |
feat(Combinatorics/SimpleGraph): define the Zarankiewicz function |
Defines the Zarankiewicz function $z(m, n; s, t)$ in terms of bipartite graphs.
---
- [x] depends on: #34632
This comes from splitting up #25841 into smaller PRs.
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
156/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Extremal/Zarankiewicz.lean,Mathlib/Combinatorics/SimpleGraph/Maps.lean |
3 |
5 |
['b-mehta', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mitchell-horner'] |
nobody |
7-51441 7 days ago |
7-51506 7 days ago |
7-56853 7 days |
| 35880 |
astrainfinita author:astrainfinita |
feat(Order/Defs/LinearOrder): `min_ind` |
It will be used to simplify the proofs of other lemmas in a subsequent PR.
---
[](https://gitpod.io/from-referrer/)
|
t-order |
11/0 |
Mathlib/Order/Defs/LinearOrder.lean |
1 |
3 |
['astrainfinita', 'bryangingechen', 'github-actions'] |
bryangingechen assignee:bryangingechen |
7-40894 7 days ago |
7-40894 7 days ago |
30-26024 30 days |
| 37040 |
artie2000 author:artie2000 |
chore(Algebra/Order): generalise ordered algebra lemmas |
* Generalise lemmas from ordered algebras to ordered modules + mixins
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
39/25 |
Mathlib/Algebra/Order/Algebra.lean,Mathlib/Algebra/Order/Module/Defs.lean |
2 |
1 |
['github-actions'] |
pechersky assignee:pechersky |
7-30245 7 days ago |
7-30310 7 days ago |
7-32136 7 days |
| 36642 |
tb65536 author:tb65536 |
feat(NumberTheory/ArithmeticFunction/LFunction): arithmetic functions from power series |
This PR constructs arithmetic functions from power series. See #36189 for how this will ultimately be used to construct L-functions.
---
[](https://gitpod.io/from-referrer/)
|
t-number-theory
t-algebra
label:t-algebra$ |
139/0 |
Mathlib/NumberTheory/ArithmeticFunction/Defs.lean,Mathlib/NumberTheory/ArithmeticFunction/LFunction.lean,Mathlib/NumberTheory/Divisors.lean |
3 |
8 |
['github-actions', 'riccardobrasca', 'tb65536'] |
riccardobrasca assignee:riccardobrasca |
7-26176 7 days ago |
7-26176 7 days ago |
16-32997 16 days |
| 37055 |
euprunin author:euprunin |
chore: golf using `grind` |
The goal of this PR is to decrease the number of times lemmas are called explicitly. Any decrease in compilation time is a welcome side effect, although it is not a primary objective.
Trace profiling results (differences <30 ms considered measurement noise):
* `OreLocalization.smul'_char`: unchanged 🎉
* `Equiv.Perm.cycleOf_mem_cycleFactorsFinset_iff`: unchanged 🎉
* `StrictMono.ite'`: unchanged 🎉
* `Mathlib.Meta.NormNum.isInt_ediv`: unchanged 🎉
Profiled using `set_option trace.profiler true in`.
---
[](https://gitpod.io/from-referrer/)
|
|
4/21 |
Mathlib/GroupTheory/OreLocalization/Basic.lean,Mathlib/GroupTheory/Perm/Cycle/Factors.lean,Mathlib/Order/Monotone/Basic.lean,Mathlib/Tactic/NormNum/DivMod.lean |
4 |
1 |
['github-actions'] |
nobody |
7-16121 7 days ago |
7-16191 7 days ago |
7-15957 7 days |
| 36709 |
kim-em author:kim-em |
feat(DefEqAbuse): suggest minimal @[implicit_reducible] workaround |
This PR extends `#defeq_abuse` to suggest a minimal set of `@[implicit_reducible]` annotations that would make the failing tactic or command succeed with `backward.isDefEq.respectTransparency true`.
When `#defeq_abuse` detects a failure, it now runs a greedy minimisation over semireducible definitions reachable from the goal/command, finding a (possibly non-unique) minimal subset that, when temporarily marked `@[implicit_reducible]`, fixes the issue. The result is reported as an `info` message:
```
info: Workaround: the following @[implicit_reducible] annotations (a possibly non-unique minimal set) would paper over this problem,
but the real issue is likely a leaky instance somewhere.
set_option allowUnsafeReducibility true
attribute [implicit_reducible]
MyPred
```
This is a workaround, not a fix — the real cause is usually a leaky instance (which `#check_instance` from https://github.com/leanprover-community/mathlib4/pull/36706 can diagnose). But it can be useful for quick debugging.
New helpers: `collectCandidates`, `markImplicitReducible`, `withTempImplicitReducible`, `withTempImplicitReducibleCmd`, `suggestAnnotationsTac`, `suggestAnnotationsCmd`, `formatAnnotations`, `logAnnotationSuggestions`.
🤖 Prepared with Claude Code |
t-meta
LLM-generated
|
163/0 |
Mathlib/Tactic/DefEqAbuse.lean,MathlibTest/DefEqAbuse.lean |
2 |
3 |
['github-actions', 'mathlib-merge-conflicts', 'thorimur'] |
dwrensha assignee:dwrensha |
7-9492 7 days ago |
12-75683 12 days ago |
13-78403 13 days |
| 35656 |
euprunin author:euprunin |
chore(ModelTheory): golf proofs |
This PR removes unused `have`/`haveI`/`let`/`letI` calls.
The goal of this golfing PR is to decrease the number of times lemmas are called explicitly (replacing calls to lemmas with calls to tactics). Any decrease in compilation time is a welcome side effect, although it is not a primary objective.
Trace profiling results (differences <30 ms considered measurement noise):
* `FirstOrder.Field.realize_genericMonicPolyHasRoot`: unchanged 🎉
* `FirstOrder.Language.exists_cg_is_age_of`: unchanged 🎉
* `FirstOrder.Language.Theory.models_formula_iff_onTheory_models_equivSentence`: unchanged 🎉
* `FirstOrder.Language.Sentence.realize_cardGe`: unchanged 🎉
* `FirstOrder.Language.Ultraproduct.boundedFormula_realize_cast`: unchanged 🎉
Profiled using `set_option trace.profiler true in`.
This golfing PR is batched under the following guidelines:
* Up to ~5 changed files per PR
* Up to ~25 changed declarations per PR
* Up to ~100 changed lines per PR
---
[](https://gitpod.io/from-referrer/)
|
t-logic |
3/16 |
Mathlib/ModelTheory/Algebra/Field/IsAlgClosed.lean,Mathlib/ModelTheory/Fraisse.lean,Mathlib/ModelTheory/Satisfiability.lean,Mathlib/ModelTheory/Semantics.lean,Mathlib/ModelTheory/Ultraproducts.lean |
5 |
6 |
['artie2000', 'euprunin', 'github-actions', 'leanprover-radar', 'vihdzp'] |
awainverse assignee:awainverse |
7-6607 7 days ago |
36-7359 36 days ago |
36-7125 36 days |
| 34702 |
pfaffelh author:pfaffelh |
feat(Data/FinsetPowerset): The set `{v : List.Vector Bool n | v.val.count = k}` has cardinality `n.choose k` |
Show that `{v : List.Vector Bool n | v.val.count = k}` has cardinality `n.choose k`.
The proof builds on `powersetCard k s` (the subsets of `s : Finset _` with cardinality `k`), and an equivalence to the above set.
---
[](https://gitpod.io/from-referrer/)
|
large-import
t-data
|
52/1 |
Mathlib/Data/Finset/Powerset.lean,Mathlib/Data/Fintype/Pi.lean,Mathlib/Logic/Equiv/Fintype.lean |
3 |
25 |
['DavidLedvinka', 'b-mehta', 'eric-wieser', 'github-actions', 'joneugster', 'pfaffelh'] |
TwoFX assignee:TwoFX |
7-4968 7 days ago |
52-85100 52 days ago |
56-11892 56 days |
| 36585 |
vihdzp author:vihdzp |
feat: order type of `Iio o` is `lift o` |
Downstreamed from the CGT repo.
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory |
19/17 |
Mathlib/SetTheory/Ordinal/Arithmetic.lean,Mathlib/SetTheory/Ordinal/Basic.lean,Mathlib/SetTheory/Ordinal/Family.lean,Mathlib/SetTheory/ZFC/Ordinal.lean,Mathlib/SetTheory/ZFC/VonNeumann.lean |
5 |
5 |
['SnirBroshi', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
alreadydone assignee:alreadydone |
7-4708 7 days ago |
7-4768 7 days ago |
16-36640 16 days |
| 34423 |
euprunin author:euprunin |
chore: golf using `grind` |
The goal of this golfing PR is to decrease the number of times lemmas are called explicitly (replacing calls to lemmas with calls to tactics). Any decrease in compilation time is a welcome side effect, although it is not a primary objective.
Trace profiling results (shown if ≥10 ms before or after):
* `LucasLehmer.norm_num_ext.sModNat_eq_sMod`: 950 ms before, 758 ms after 🎉
This golfing PR is batched under the following guidelines:
* Up to ~5 changed files per PR
* Up to ~25 changed declarations per PR
* Up to ~100 changed lines per PR
---
[](https://gitpod.io/from-referrer/)
|
|
1/18 |
Mathlib/NumberTheory/LucasLehmer.lean |
1 |
14 |
['artie2000', 'eric-wieser', 'euprunin', 'github-actions', 'leanprover-radar', 'robin-carlier'] |
nobody |
6-84807 6 days ago |
30-49488 30 days ago |
63-29550 63 days |
| 36693 |
euprunin author:euprunin |
chore: golf using `grind` |
The goal of this PR is to decrease the number of times lemmas are called explicitly. Any decrease in compilation time is a welcome side effect, although it is not a primary objective.
Trace profiling results (differences <30 ms considered measurement noise):
* `Equiv.Perm.ofSubtype_swap_eq`: unchanged 🎉
* `Filter.hasBasis_biInf_of_directed'`: unchanged 🎉
Profiled using `set_option trace.profiler true in`.
---
[](https://gitpod.io/from-referrer/)
|
|
2/15 |
Mathlib/GroupTheory/Perm/Support.lean,Mathlib/Order/Filter/Bases/Basic.lean |
2 |
1 |
['artie2000', 'github-actions'] |
nobody |
6-84758 6 days ago |
15-12473 15 days ago |
15-12239 15 days |
| 36686 |
euprunin author:euprunin |
chore: golf using `grind` |
The goal of this PR is to decrease the number of times lemmas are called explicitly. Any decrease in compilation time is a welcome side effect, although it is not a primary objective.
Trace profiling results (differences <30 ms considered measurement noise):
* `List.prod_map_ite`: unchanged 🎉
* `Path.Homotopy.trans_assoc_reparam`: 2938 ms before, 717 ms after 🎉
* `SimplexCategory.δ_comp_δ`: 522 ms before, 316 ms after 🎉
* `Finsupp.ext_iff'`: unchanged 🎉
* `Computation.bind_assoc`: unchanged 🎉
* `Set.piecewise_insert`: unchanged 🎉
* `ZMod.valMinAbs_mem_Ioc`: unchanged 🎉
* `Matrix.det_eq_of_forall_row_eq_smul_add_pred_aux`: 2141 ms before, 2004 ms after 🎉
Profiled using `set_option trace.profiler true in`.
---
[](https://gitpod.io/from-referrer/)
|
|
10/51 |
Mathlib/Algebra/BigOperators/Group/List/Basic.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/Basic.lean,Mathlib/AlgebraicTopology/SimplexCategory/Basic.lean,Mathlib/Data/Finsupp/Defs.lean,Mathlib/Data/Seq/Computation.lean,Mathlib/Data/Set/Piecewise.lean,Mathlib/Data/ZMod/ValMinAbs.lean,Mathlib/LinearAlgebra/Matrix/Determinant/Basic.lean |
8 |
1 |
['artie2000', 'github-actions'] |
nobody |
6-84646 6 days ago |
15-29397 15 days ago |
15-29163 15 days |
| 36740 |
euprunin author:euprunin |
chore: golf using `grind` |
The goal of this PR is to decrease the number of times lemmas are called explicitly. Any decrease in compilation time is a welcome side effect, although it is not a primary objective.
Trace profiling results (differences <30 ms considered measurement noise):
* `AlgebraicGeometry.Scheme.isBasis_affineOpens`: unchanged 🎉
* `SimpleGraph.Walk.takeUntil_eq_take`: 263 ms before, 180 ms after 🎉
* `SimpleGraph.Walk.dropUntil_eq_drop`: 382 ms before, 261 ms after 🎉
* `Int.image_Ico_emod`: unchanged 🎉
* `Equiv.Perm.ofSubtype_swap_eq`: unchanged 🎉
Profiled using `set_option trace.profiler true in`.
---
[](https://gitpod.io/from-referrer/)
|
|
7/33 |
Mathlib/AlgebraicGeometry/AffineScheme.lean,Mathlib/Combinatorics/SimpleGraph/Walks/Decomp.lean,Mathlib/Data/Int/Interval.lean,Mathlib/GroupTheory/Perm/Support.lean |
4 |
2 |
['artie2000', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
6-84261 6 days ago |
11-31262 11 days ago |
13-79897 13 days |
| 36774 |
euprunin author:euprunin |
chore: replace long terminal `rw […]`:s (≥4 lemmas) with bare `simp`:s |
The goal of this PR is to decrease the number of times lemmas are called explicitly. Any decrease in compilation time is a welcome side effect, although it is not a primary objective.
Trace profiling results (differences <30 ms considered measurement noise):
* `Finset.lcm_union`: unchanged 🎉
* `Finset.gcd_union`: unchanged 🎉
* `Polynomial.derivative_eval₂_C`: unchanged 🎉
* `Polynomial.expand_pow`: unchanged 🎉
* `Cardinal.mk_real`: unchanged 🎉
* `Real.log_zpow`: unchanged 🎉
* `Matroid.eRank_le_encard_add_eRk_compl`: unchanged 🎉
* `DFinsupp.single_tsub`: unchanged 🎉
* `EReal.inv_neg`: unchanged 🎉
* `Finsupp.toMultiset_map`: unchanged 🎉
* `Finsupp.single_tsub`: unchanged 🎉
* `Multiset.countP_map`: unchanged 🎉
* `Nat.ascFactorial_eq_factorial_mul_choose'`: unchanged 🎉
* `Real.sign_intCast`: unchanged 🎉
* `Real.volume_eball`: unchanged 🎉
* `Real.volume_closedEBall`: unchanged 🎉
* `LFunction_ne_zero_of_not_quadratic_or_ne_one`: 295 ms before, 152 ms after 🎉
* `hasSum_one_div_nat_pow_mul_cos`: unchanged 🎉
* `inv_eq_of_aeval_divX_ne_zero`: unchanged 🎉
* `AlgebraicIndependent.aeval_comp_mvPolynomialOptionEquivPolynomialAdjoin`: unchanged 🎉
* `Ordinal.deriv_mul_eq_opow_omega0_mul`: unchanged 🎉
Profiled using `set_option trace.profiler true in`.
---
[](https://gitpod.io/from-referrer/)
|
|
22/24 |
Mathlib/Algebra/GCDMonoid/Finset.lean,Mathlib/Algebra/Polynomial/Derivative.lean,Mathlib/Algebra/Polynomial/Expand.lean,Mathlib/Analysis/Real/Cardinality.lean,Mathlib/Analysis/SpecialFunctions/Log/Basic.lean,Mathlib/Combinatorics/Matroid/Rank/ENat.lean,Mathlib/Data/DFinsupp/Order.lean,Mathlib/Data/EReal/Inv.lean,Mathlib/Data/Finsupp/Multiset.lean,Mathlib/Data/Finsupp/Order.lean,Mathlib/Data/Multiset/Filter.lean,Mathlib/Data/Nat/Choose/Basic.lean,Mathlib/Data/Real/Sign.lean,Mathlib/MeasureTheory/Measure/Lebesgue/Basic.lean,Mathlib/NumberTheory/LSeries/Nonvanishing.lean,Mathlib/NumberTheory/ZetaValues.lean,Mathlib/RingTheory/Algebraic/Basic.lean,Mathlib/RingTheory/AlgebraicIndependent/Basic.lean,Mathlib/SetTheory/Ordinal/FixedPoint.lean |
19 |
1 |
['artie2000', 'github-actions'] |
nobody |
6-84026 6 days ago |
13-23436 13 days ago |
13-23202 13 days |
| 34154 |
euprunin author:euprunin |
chore: golf using `grind` (and add four supporting `grind` annotations) |
The goal of this golfing PR is to decrease the number of times lemmas are called explicitly (replacing calls to lemmas with calls to tactics). Any decrease in compilation time is a welcome side effect, although it is not a primary objective.
Trace profiling results (shown if ≥10 ms before or after):
* `Orientation.nonneg_inner_and_areaForm_eq_zero_iff_sameRay`: 311 ms before, 284 ms after 🎉
* `UV.compression_self`: 29 ms before, 19 ms after 🎉
* `IsSepClosed.exists_root_C_mul_X_pow_add_C_mul_X_add_C`: 405 ms before, 291 ms after 🎉
* `InnerProductGeometry.norm_add_eq_add_norm_iff_angle_eq_zero`: 425 ms before, 309 ms after 🎉
This golfing PR is batched under the following guidelines:
* Up to ~5 changed files per PR
* Up to ~25 changed declarations per PR
* Up to ~100 changed lines per PR
---
[](https://gitpod.io/from-referrer/)
|
|
9/30 |
Mathlib/Algebra/Polynomial/Degree/Defs.lean,Mathlib/Algebra/Polynomial/Degree/Operations.lean,Mathlib/Analysis/InnerProductSpace/TwoDim.lean,Mathlib/Combinatorics/SetFamily/Compression/UV.lean,Mathlib/FieldTheory/IsSepClosed.lean,Mathlib/Geometry/Euclidean/Angle/Unoriented/Basic.lean |
6 |
13 |
['Parcly-Taxel', 'artie2000', 'euprunin', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'tb65536'] |
nobody |
6-82437 6 days ago |
33-42308 33 days ago |
61-54831 61 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
```
---
[](https://gitpod.io/from-referrer/)
|
|
6/2 |
Mathlib/Algebra/Algebra/Hom.lean,Mathlib/RingTheory/Etale/StandardEtale.lean |
2 |
3 |
['acmepjz', 'artie2000', 'github-actions'] |
dupuisf assignee:dupuisf |
6-81936 6 days ago |
22-72064 22 days ago |
22-71830 22 days |
| 29982 |
hrmacbeth author:hrmacbeth |
feat: new `isolate` tactic |
This PR adds a new tactic, `isolate`, which "solves for x" in an equation or relation. For example:
```lean
example (a b : ℝ) (f : ℝ → ℝ) : 5 * f a - 3 < b := by
isolate f a
-- new goal: `⊢ f a < (b + 3) / 5`
```
The `isolate` tactic may generate side goals, if these are necessary to justify the transformation. The tactic will attempt to justify such side goals using `positivity` (as in the above example), unification, or type class inference, but if unsuccessful will present them to the user. For example:
```lean
example (a b c : ℝ) (f : ℝ → ℝ) : c * f a - 3 < b := by
isolate f a
-- new goal: `⊢ f a < (b + 3) / c`
-- second (side) new goal: `⊢ 0 < c`
```
The `isolate` tactic is extensible. Coverage may be extended to new relations and new operations-to-be-undone by tagging appropriate lemmas with the new `@[isolate]` attribute.
---
[](https://gitpod.io/from-referrer/)
|
large-import
t-meta
|
943/1 |
Mathlib.lean,Mathlib/Analysis/SpecialFunctions/Log/Basic.lean,Mathlib/Analysis/SpecialFunctions/Pow/Real.lean,Mathlib/Data/Real/Sqrt.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Isolate.lean,Mathlib/Tactic/Isolate/Core.lean,Mathlib/Tactic/Isolate/Tagging.lean,Mathlib/Tactic/Relation/Symm.lean,MathlibTest/Isolate/Heavyweight.lean,MathlibTest/Isolate/Lightweight.lean,scripts/noshake.json |
12 |
81 |
['JovanGerb', 'PatrickMassot', 'Vierkantor', 'github-actions', 'hrmacbeth', 'kim-em', 'mathlib4-merge-conflict-bot'] |
adamtopaz assignee:adamtopaz |
6-81600 6 days ago |
29-15353 29 days ago |
78-9823 78 days |
| 34191 |
IlPreteRosso author:IlPreteRosso |
feat(Topology/Algebra/InfiniteSum): Discrete Convolution API 1st PR |
Defines the very basics of the discrete convolution API. In analogy with [MeasureTheory.Convolution](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Analysis/Convolution.html#MeasureTheory.convolution).
Main definitions include
- `mulFiber`, `convolution`, `ConvolutionExists`, `ConvolutionExists.add_distrib`, `ConvolutionExistsAt.smul_convolution`, `mulFiber_swapEquiv`, `convolution_comm`
RM:
- The main docstring is *as is*
- Next step is triple sum intrastrcutre + `assoc` theorems for convolution (long)
Continues the work from #33411 and #33410 (splitting into shorter PRs, carries over the modifications from previous reviews) |
t-topology
new-contributor
|
277/0 |
Mathlib.lean,Mathlib/Topology/Algebra/InfiniteSum/DiscreteConvolution.lean |
2 |
18 |
['IlPreteRosso', 'github-actions', 'j-loreaux'] |
ocfnash assignee:ocfnash |
6-81597 6 days ago |
54-24151 54 days ago |
63-25600 63 days |
| 34477 |
spanning-tree author:spanning-tree |
refactor(Order): make CompletePartialOrder extend OrderBot |
Make `CompletePartialOrder` extend `OrderBot`, and add a constructor `completePartialOrderOfLubOfDirected`. Previously, `CompletePartialOrder` had an implicit bottom element but did not extend OrderBot explicitly.
Breaking change: `CompletePartialOrder` instances must provide `⊥` and `bot_le`, or use the constructor.
See discussion in [Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/.3E.20complete.20partial.20order.20and.20domain.20theory.20formalization).
---
[](https://gitpod.io/from-referrer/)
|
t-order
new-contributor
|
15/1 |
Mathlib/Order/CompletePartialOrder.lean |
1 |
3 |
['Citronhat', 'github-actions', 'mathlib-merge-conflicts'] |
bryangingechen assignee:bryangingechen |
6-81595 6 days ago |
29-34494 29 days ago |
50-9417 50 days |
| 35610 |
IvanRenison author:IvanRenison |
feat(Data/Fin): add several lemmas about subtraction of `Fin.{castLT, castAdd, castSucc, castPred}` |
---
[](https://gitpod.io/from-referrer/)
|
t-data |
79/0 |
Mathlib/Data/Fin/Basic.lean,Mathlib/Data/Fin/SuccPred.lean |
2 |
3 |
['github-actions', 'wwylele'] |
joneugster assignee:joneugster |
6-81591 6 days ago |
36-45103 36 days ago |
36-59375 36 days |
| 36720 |
YanYablonovskiy author:YanYablonovskiy |
feat(Order): `OrderType.lift` and more order type API |
Adding the universe lifting operation to `OrderType` , addresses a 'TODO' .
---
[](https://gitpod.io/from-referrer/)
|
t-order
new-contributor
|
41/2 |
Mathlib/Order/Types/Defs.lean |
1 |
23 |
['YaelDillies', 'YanYablonovskiy', 'github-actions', 'vihdzp'] |
bryangingechen assignee:bryangingechen |
6-81585 6 days ago |
7-51074 7 days ago |
9-14396 9 days |
| 36840 |
SnirBroshi author:SnirBroshi |
feat(SetTheory/Ordinal/Arithmetic): a few ordinal division lemmas |
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory |
27/8 |
Mathlib/SetTheory/Ordinal/Arithmetic.lean |
1 |
6 |
['SnirBroshi', 'github-actions', 'vihdzp'] |
alreadydone assignee:alreadydone |
6-81581 6 days ago |
11-79127 11 days ago |
11-78893 11 days |
| 36990 |
JovanGerb author:JovanGerb |
fix(RefinedDiscrTree/Lookup): improve the matching score heuristic |
This PR improves the order in which results come out of the `RefinedDiscrTree`. I've explained the motivation in the doc-string. This is probably not the most principled fix, but it is the least disruptive solution I could think of.
For an example, try clicking on `|0|` in
```
import Mathlib
example : |(0 : ℝ)| = 1 := by
rw??
```
And notice that the obvious result `abs_zero` is not the first result.
---
[](https://gitpod.io/from-referrer/)
|
t-meta |
44/8 |
Mathlib/Lean/Meta/RefinedDiscrTree/Lookup.lean |
1 |
1 |
['github-actions'] |
eric-wieser assignee:eric-wieser |
6-81579 6 days ago |
8-25675 8 days ago |
8-25441 8 days |
| 36992 |
JovanGerb author:JovanGerb |
feat(RefinedDiscrTree/Lookup): use parallellism in lookup |
This PR adds parallellism to the `RefinedDiscrTree` lookup. Previously, only constructing the root node of the discrimination tree used parallellism. But it turns out some of the child nodes can be pretty big too.
---
[](https://gitpod.io/from-referrer/)
|
t-meta |
40/7 |
Mathlib/Lean/FoldEnvironment.lean,Mathlib/Lean/Meta/RefinedDiscrTree/Lookup.lean |
2 |
1 |
['github-actions'] |
adamtopaz assignee:adamtopaz |
6-81578 6 days ago |
8-22631 8 days ago |
8-22397 8 days |
| 36999 |
themathqueen author:themathqueen |
feat(Analysis/RCLike): lifting `C(X, ℝ)` to `C(X, 𝕜)` |
---
[](https://gitpod.io/from-referrer/)
|
t-analysis |
69/0 |
Mathlib.lean,Mathlib/Analysis/RCLike/ContinuousMap.lean |
2 |
1 |
['github-actions'] |
urkud assignee:urkud |
6-81578 6 days ago |
8-14859 8 days ago |
8-14625 8 days |
| 35250 |
vlad902 author:vlad902 |
feat(SimpleGraph): redefine `cycleGraph` independent of `circulantGraph` |
Right now the `cycleGraph` definition relies on `circulantGraph` which requires importing Group definitions from the algebra hierarchy. This causes large-imports for me in later PRs where I try to make more widespread use of cycleGraphs, so here I redefine it to be its own independent object, and leave moving it from `Circulant.lean` to another PR (this is parallel to #35084.)
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
maintainer-merge
|
10/10 |
Mathlib/Combinatorics/SimpleGraph/Circulant.lean |
1 |
5 |
['SnirBroshi', 'YaelDillies', 'github-actions', 'vihdzp', 'vlad902'] |
nobody |
6-56535 6 days ago |
45-37497 45 days ago |
45-37263 45 days |
| 36958 |
JovanGerb author:JovanGerb |
chore(Topology/Order/Basic): use `Preorder.topology` in `OrderTopology` |
This PR addresses the comment:
```
TODO: define `Preorder.topology` before `OrderTopology` and reuse the def
```
---
[](https://gitpod.io/from-referrer/)
|
t-topology |
22/19 |
Mathlib/Topology/Instances/Discrete.lean,Mathlib/Topology/Order/Basic.lean |
2 |
1 |
['github-actions', 'vihdzp'] |
PatrickMassot assignee:PatrickMassot |
6-53946 6 days ago |
8-73725 8 days ago |
8-73826 8 days |
| 35084 |
edegeltje author:edegeltje |
feat(Combinatorics/SimpleGraph): Cayley graph for structures with `Mul`/`Add` |
This pr:
- adds the definition `SimpleGraph.mulCayley`, where `x` is adjacent to a distinct `y` when there is `g` such that `x * g = y` or `x = y * g`,
- proves various lemmas about the above,
- adds/proves the additive versions of all of the above
some related zulip conversation: https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Cayley.20and.20circulant.20graph/with/572839048
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
maintainer-merge
|
141/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Cayley.lean |
2 |
44 |
['SnirBroshi', 'YaelDillies', 'edegeltje', 'github-actions', 'vihdzp', 'vlad902'] |
kmill assignee:kmill |
6-34122 6 days ago |
9-26142 9 days ago |
46-11776 46 days |
| 37104 |
tb65536 author:tb65536 |
feat(RingTheory/Flat/FaithfullyFlat/Basic): prove `IsNoetherian` and `IsArtinian` from faithfully flat base change |
This PR proves that if the base change of a module `M` along a faithfully flat ring homomorphism is Noetherian or Artinian, then so is `M`.
The file `Artinian/Module` has become rather heavy, so I split off a `Artinian/Defs` file to avoid the large import.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
t-algebra
label:t-algebra$ |
119/39 |
Mathlib.lean,Mathlib/LinearAlgebra/TensorProduct/Tower.lean,Mathlib/RingTheory/Artinian/Defs.lean,Mathlib/RingTheory/Artinian/Module.lean,Mathlib/RingTheory/Flat/FaithfullyFlat/Basic.lean |
5 |
1 |
['github-actions'] |
nobody |
6-24534 6 days ago |
6-24534 6 days ago |
6-24302 6 days |
| 37109 |
zeekmartin author:zeekmartin |
feat(SimpleGraph): card of common neighbors equals card of triangles containing edge |
Adds `SimpleGraph.card_commonNeighbors_eq_card_triangles_containing_edge`
to `Mathlib/Combinatorics/SimpleGraph/Clique.lean`.
For adjacent vertices `u v` in a finite simple graph, establishes the bijection
between common neighbors and 3-cliques containing the edge `{u, v}`:
```lean
theorem card_commonNeighbors_eq_card_triangles_containing_edge
{u v : α} (huv : G.Adj u v) :
(G.commonNeighbors u v).toFinset.card =
((G.cliqueFinset 3).filter fun s => {u, v} ⊆ s).card
```
This connects `commonNeighbors` (defined in `Basic.lean`) with `cliqueFinset` —
a gap not previously covered in `Clique.lean`.
**AI disclosure**: Claude (Anthropic) was used as an assistant during the development of this proof. It helped with the initial proof structure and tactic suggestions. The proof was reviewed and validated step by step by the author, who can vouch for all the content. The mathematical idea originates from the author's prior Lean 4 work on spectral graph theory (github.com/zeekmartin/topostability-lean4).
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
LLM-generated
new-contributor
|
61/0 |
Mathlib/Combinatorics/SimpleGraph/Clique.lean |
1 |
7 |
['SnirBroshi', 'github-actions', 'zeekmartin'] |
nobody |
6-20616 6 days ago |
6-27775 6 days ago |
6-27541 6 days |
| 37098 |
vihdzp author:vihdzp |
feat: singular cardinals |
We define a singular cardinal as an infinite cardinal which is larger than its cofinality. That's to say, every cardinal is exactly one of the following three: finite, regular, or singular.
Re-opened from #17005, with permission.
---
Co-authored-by: Nir Paz
- [x] depends on: #36933
[](https://gitpod.io/from-referrer/)
|
t-set-theory |
108/27 |
Mathlib/SetTheory/Cardinal/Aleph.lean,Mathlib/SetTheory/Cardinal/Arithmetic.lean,Mathlib/SetTheory/Cardinal/Regular.lean,Mathlib/SetTheory/Ordinal/Arithmetic.lean |
4 |
3 |
['github-actions', 'mathlib-dependent-issues', 'plp127'] |
nobody |
6-2663 6 days ago |
6-2959 6 days ago |
6-3793 6 days |
| 35402 |
samueloettl author:samueloettl |
feat(Dynamics/BirkhoffSum): birkhoffAverage const |
---
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
|
22/0 |
Mathlib/Dynamics/BirkhoffSum/Average.lean |
1 |
2 |
['github-actions'] |
ADedecker assignee:ADedecker |
5-81581 5 days ago |
36-4854 36 days ago |
42-37908 42 days |
| 36948 |
Parcly-Taxel author:Parcly-Taxel |
feat: subtraction and ±1 lemmas for `IsCoprime, IsRelPrime` |
From my Redhill PhD project. |
t-ring-theory |
84/0 |
Mathlib/RingTheory/Coprime/Basic.lean |
1 |
1 |
['github-actions'] |
mattrobball assignee:mattrobball |
5-81575 5 days ago |
9-45266 9 days ago |
9-45032 9 days |
| 36957 |
chrisflav author:chrisflav |
refactor(Topology): redefine `Topology.IsQuotientMap` with `Topology.IsCoinducing` |
Currently, varying formulations for `f : X -> Y` is coinducing are used: Examples are an equality of `TopologicalSpace.coinduced` or an explicit characterization of open sets.
We add a predicate `Topology.IsCoinducing` and redefine `Topology.IsQuotientMap` in terms of it.
---
[](https://gitpod.io/from-referrer/)
|
t-topology |
153/76 |
Mathlib/AlgebraicGeometry/Morphisms/Flat.lean,Mathlib/AlgebraicGeometry/Morphisms/FlatDescent.lean,Mathlib/Topology/Algebra/Group/Basic.lean,Mathlib/Topology/Algebra/Group/Pointwise.lean,Mathlib/Topology/Algebra/Group/Quotient.lean,Mathlib/Topology/Algebra/Module/ModuleTopology.lean,Mathlib/Topology/Algebra/ProperAction/Basic.lean,Mathlib/Topology/Category/TopCat/Limits/Pullbacks.lean,Mathlib/Topology/Clopen.lean,Mathlib/Topology/Compactness/DeltaGeneratedSpace.lean,Mathlib/Topology/Connected/Clopen.lean,Mathlib/Topology/Connected/LocPathConnected.lean,Mathlib/Topology/Connected/LocallyConnected.lean,Mathlib/Topology/Connected/TotallyDisconnected.lean,Mathlib/Topology/Constructions.lean,Mathlib/Topology/Convenient/GeneratedBy.lean,Mathlib/Topology/Covering/Quotient.lean,Mathlib/Topology/Defs/Induced.lean,Mathlib/Topology/DiscreteQuotient.lean,Mathlib/Topology/Homeomorph/Defs.lean,Mathlib/Topology/Inseparable.lean,Mathlib/Topology/Maps/Basic.lean,Mathlib/Topology/Maps/OpenQuotient.lean,Mathlib/Topology/Order/ProjIcc.lean,Mathlib/Topology/Sequences.lean |
25 |
3 |
['chrisflav', 'github-actions', 'plp127'] |
j-loreaux assignee:j-loreaux |
5-81575 5 days ago |
9-11811 9 days ago |
9-11592 9 days |
| 37048 |
gasparattila author:gasparattila |
feat(Topology/UniformSpace/Closeds): uniform continuity of product |
---
[](https://gitpod.io/from-referrer/)
|
t-topology |
51/2 |
Mathlib/Topology/UniformSpace/Closeds.lean |
1 |
1 |
['github-actions'] |
j-loreaux assignee:j-loreaux |
5-81570 5 days ago |
7-23000 7 days ago |
7-22766 7 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.
---
[](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) .
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. 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. Instead, Claude found the following trick: drop `← neg_one_zsmul` and `neg_one_zsmul_add`, and use `neg_add_rev` and `neg_zero` to reduce `-(a+b)` and `-0`, use `zsmul_neg` to reduce `n • (-a)` to `(-n) • a` and then use things like `add_neg_cancel_right` and `neg_add_cancel_right` to do `-b + b` and `b + -b` together with some new `zsmul_neg_trick` lemmas to deal with `(n • b) + -b` etc. The idea is to ensure that any consecutive chains of `b`'s and `-b`'s and `z • b`'s will all get amalgamated, but we cannot change `-b` to `-1 • b` so have to try harder than in the multiplicative case.
Here is a detailed explanation of the difference between `Tactic/AddGroup.lean` and the additivisation of `Tactic/Group.Lean`.
1) Note that the `zpow_trick` lemmas in `Tactic/Group.lean` are additivised, so we import `Group.lean` in `AddGroup.lean` to access these additivised lemmas.
2) `Mathlib.Algebra.Group.Commutator` has no additive version (and it's not clear that it should have one), so we don't use an additive version of `commutatorElement_def` (which expands `⁅g₁, g₂⁆` to `g₁ * g₂ * g₁⁻¹ * g₂⁻¹`). Note: that means that we cannot additivise a test.
3) Line 67 of the additive file uses `neg_add_rev, neg_zero, zsmul_neg, ← neg_zsmul,` as a workaround for the looping ` ← zpow_neg_one`.
4) `Int.mul_neg, Int.neg_mul` are dropped (they don't seem to be needed, all tests are passing, ring_nf is probably doing this.)
5) `sub_eq_add_neg` is added: people use subtraction in additive groups; division doesn't seem to be covered for multiplicative groups?
***
There is also one fewer test in the `add_group` tests, as I had to remove the commutator test.
I don't know much at all about tactic-writing, this is all Claude code, but a lot of it is to_additive copypasta. |
t-meta
LLM-generated
|
183/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/AddGroup.lean,MathlibTest/AddGroup.lean |
4 |
3 |
['github-actions', 'kbuzzard'] |
JovanGerb assignee:JovanGerb |
5-81569 5 days ago |
6-82696 6 days ago |
6-83705 6 days |
| 36018 |
wwylele author:wwylele |
feat(LinearAlgebra/AffineSpace): shifting a subspace towards a point |
This is preparing to calculate the volume of a simplex by integrating the cross-section created by shifting the base plane. Part of #34826.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
293/0 |
Mathlib.lean,Mathlib/LinearAlgebra/AffineSpace/AffineSubspace/Shift.lean,Mathlib/LinearAlgebra/AffineSpace/Simplex/Basic.lean |
3 |
7 |
['copilot-pull-request-reviewer', 'github-actions', 'mathlib-bors'] |
kim-em assignee:kim-em |
5-77422 5 days ago |
18-85988 18 days ago |
18-85770 18 days |
| 36307 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Walks): `Walk.ofSupport` / `Walk.ofDarts` |
---
This would hopefully make constructions such as [the cycle in `cycleGraph`](https://github.com/leanprover-community/mathlib4/blob/1b2df6c93fdd0ece89a32521464d5193e0f381ed/Mathlib/Combinatorics/SimpleGraph/Circulant.lean#L140-L155) or [the path in `pathGraph`](https://github.com/leanprover-community/mathlib4/pull/34171) or [the Hamiltonian walk in the complete graph](https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/Ore's.20Theorem/near/571353615) easier.
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
88/0 |
Mathlib/Combinatorics/SimpleGraph/Walks/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Walks/Operations.lean |
2 |
14 |
['SnirBroshi', 'github-actions', 'jessealama'] |
kmill assignee:kmill |
5-62564 5 days ago |
23-61997 23 days ago |
23-61763 23 days |
| 36673 |
kebekus author:kebekus |
feat: lemmas on coercions of functions with locally finite support |
Add lemmas on coercions of functions with locally finite support. Add a lemma allowing to write a function with finite support as a linear combination of singleton indicator functions.
---
[](https://gitpod.io/from-referrer/)
|
t-topology
large-import
|
42/0 |
Mathlib/Topology/LocallyFinsupp.lean |
1 |
4 |
['github-actions', 'j-loreaux'] |
j-loreaux assignee:j-loreaux |
5-60848 5 days ago |
5-60848 5 days ago |
15-27329 15 days |
| 36667 |
NoneMore author:NoneMore |
feat(ModelTheory): add `exClosure` definition for first-order formulas |
Prepare for moving realizations between elementarily equivalent structures.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-logic
|
37/0 |
Mathlib/ModelTheory/Semantics.lean,Mathlib/ModelTheory/Syntax.lean |
2 |
2 |
['github-actions'] |
awainverse assignee:awainverse |
5-56111 5 days ago |
15-65811 15 days ago |
15-65577 15 days |
| 36571 |
harahu author:harahu |
doc(Combinatorics): fix typos |
Found by `PyCharm`'s code inspection tool. Fixes were made by Codex.
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
24/24 |
Mathlib/Combinatorics/Colex.lean,Mathlib/Combinatorics/Enumerative/DoubleCounting.lean,Mathlib/Combinatorics/Enumerative/IncidenceAlgebra.lean,Mathlib/Combinatorics/Matroid/Basic.lean,Mathlib/Combinatorics/Matroid/Circuit.lean,Mathlib/Combinatorics/Matroid/Map.lean,Mathlib/Combinatorics/Matroid/Minor/Contract.lean,Mathlib/Combinatorics/Matroid/Rank/ENat.lean,Mathlib/Combinatorics/Nullstellensatz.lean,Mathlib/Combinatorics/SetFamily/FourFunctions.lean,Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Bipartite.lean,Mathlib/Combinatorics/SimpleGraph/Extremal/TuranDensity.lean,Mathlib/Combinatorics/SimpleGraph/FiveWheelLike.lean,docs/references.bib |
15 |
4 |
['IvanRenison', 'github-actions', 'harahu'] |
nobody |
5-55073 5 days ago |
18-620 18 days ago |
18-386 18 days |
| 32744 |
NoneMore author:NoneMore |
feat(ModelTheory/Definablity): add `DefinableFun` definition and lemmas |
This PR adds two basic shapes of definable sets and `DefinableFun` definition with relevant lemmas.
The main result is `Set.Definable.preimage_of_map` asserting that the preimage of a definable set under a definable map is definable.
There are also some tool lemmas derived by the preimage lemma.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-logic
|
147/0 |
Mathlib/ModelTheory/Definability.lean |
1 |
60 |
['NoneMore', 'github-actions', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'staroperator'] |
nobody |
5-53986 5 days ago |
5-53967 5 days ago |
101-11967 101 days |
| 34268 |
gasparattila author:gasparattila |
feat(Topology/Sets): continuity of operations on `(Nonempty)Compacts` |
---
[](https://gitpod.io/from-referrer/)
|
t-topology |
144/17 |
Mathlib/Topology/Sets/Compacts.lean,Mathlib/Topology/Sets/VietorisTopology.lean,Mathlib/Topology/UniformSpace/Closeds.lean |
3 |
4 |
['github-actions', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
j-loreaux assignee:j-loreaux |
5-52140 5 days ago |
5-52164 5 days ago |
66-49968 66 days |
| 36202 |
vihdzp author:vihdzp |
feat: more theorems on the Cantor normal form |
We also remove some redundant assumptions.
Used in the CGT repo.
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory |
68/17 |
Mathlib/SetTheory/Ordinal/CantorNormalForm.lean |
1 |
16 |
['SnirBroshi', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
b-mehta assignee:b-mehta |
5-51338 5 days ago |
5-51362 5 days ago |
24-44948 24 days |
| 36922 |
SnirBroshi author:SnirBroshi |
feat(Data/List/Chain): generalize `WellFounded.asymmetric₃` to chains |
The existing `WellFounded.asymmetric` shows `r a b → ¬r b a`,
and `WellFounded.asymmetric₃` shows `r a b → r b c → ¬r c a`.
This adds `WellFounded.asymmetricₙ` which shows `l.IsChain r → ¬r l.getLast l.head`.
---
Also adds a couple of `IsChain` lemmas which might be useful.
[](https://gitpod.io/from-referrer/)
|
t-data |
29/8 |
Mathlib/Data/List/Chain.lean |
1 |
4 |
['SnirBroshi', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
joneugster assignee:joneugster |
5-35199 5 days ago |
5-35222 5 days ago |
9-71064 9 days |
| 34705 |
mpenciak author:mpenciak |
feat(RingTheory): Grassmannian functor |
This PR shows that the association `A → A ⊗[R] M` for an `R`-module `M`, and `R`-algebra `A` forms a functor.
(Disclosure: This PR was partially prepared by Claude)
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
LLM-generated
|
120/2 |
Mathlib/LinearAlgebra/TensorProduct/Tower.lean,Mathlib/RingTheory/Grassmannian.lean |
2 |
9 |
['chrisflav', 'github-actions', 'mathlib-merge-conflicts', 'mpenciak', 'robin-carlier'] |
chrisflav assignee:chrisflav |
5-34030 5 days ago |
5-34103 5 days ago |
41-17774 41 days |
| 36850 |
whocares-abt author:whocares-abt |
feat(Combinatorics/SimpleGraph/Acyclic): add delete leaf from tree gives tree |
Added theorem stating Deleting a leaf from a tree produces a tree. |
t-combinatorics
new-contributor
|
5/0 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean |
1 |
7 |
['github-actions', 'vlad902'] |
nobody |
5-33757 5 days ago |
9-58745 9 days ago |
11-41367 11 days |
| 37026 |
AntoineChambert-Loir author:AntoineChambert-Loir |
feat(Data/Nat/Perm): add two lemmas |
If a finite type has at most two elements, then its permutation group is cyclic and commutative.
---
- [x] depends on: #36983
[](https://gitpod.io/from-referrer/)
|
large-import |
34/1 |
Mathlib/Data/Finite/Perm.lean |
1 |
3 |
['github-actions', 'mathlib-dependent-issues', 'tb65536'] |
nobody |
5-33039 5 days ago |
5-33049 5 days ago |
7-8695 7 days |
| 37170 |
tb65536 author:tb65536 |
feat(RingTheory/Artinian/Module): add `pow` version of `quotNilradicalEquivPi` |
This PR upgrades `IsArtinianRing.quotNilradicalEquivPi` and adds a `pow` version.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
t-algebra
large-import
label:t-algebra$ |
33/12 |
Mathlib/RingTheory/Artinian/Module.lean,Mathlib/RingTheory/Spectrum/Maximal/Basic.lean |
2 |
2 |
['github-actions', 'tb65536'] |
nobody |
5-23039 5 days ago |
5-23039 5 days ago |
5-22806 5 days |
| 36760 |
SnirBroshi author:SnirBroshi |
feat(GroupTheory/Subgroup): basic API for set normalizers |
---
Since `@[to_additive]` [doesn't work](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/MulAut.20and.20to_additive/with/577355267) on `MulAut` (because `AddAut` wants to use multiplicative syntax) I've had to translate 2 theorems manually.
~~FWIW I think that `setNormalizer` should replace `normalizer`, as this old TODO says:~~
https://github.com/leanprover-community/mathlib4/blob/34ad346d5509066e2d41dc59c6a92a917ba55661/Mathlib/Algebra/Group/Subgroup/Defs.lean#L674
~~This will join `Subgroup.centralizer` which is already defined on sets rather than subgroups (and subgroups can use it thanks to their `SetLike`).~~
~~If you agree I'll create a separate PR that does it. Though it shouldn't block this PR.~~
- [x] depends on: #36852
[](https://gitpod.io/from-referrer/)
|
t-group-theory |
115/33 |
Mathlib/Algebra/Group/Subgroup/Basic.lean,Mathlib/Algebra/Group/Subgroup/Defs.lean,Mathlib/Algebra/Group/Subgroup/Pointwise.lean,Mathlib/GroupTheory/Commutator/Basic.lean,Mathlib/GroupTheory/GroupAction/Quotient.lean,Mathlib/GroupTheory/Nilpotent.lean,Mathlib/GroupTheory/Subgroup/Center.lean,Mathlib/GroupTheory/Subgroup/Centralizer.lean |
8 |
11 |
['SnirBroshi', 'github-actions', 'mathlib-dependent-issues', 'tb65536'] |
tb65536 assignee:tb65536 |
5-21028 5 days ago |
7-34940 7 days ago |
11-57536 11 days |
| 36837 |
nielstron author:nielstron |
feat(Computability/ContextFreeGrammar): Closure properties |
---
This PR is a rewrite of the closure property proofs of CFGs from scratch.
The proof follows the approach by Ullman and Hopcroft in
"Introduction to Automata Theory, Languages and Computation".
It should make #33601 #33592 and #33599 superfluous.
The main proof was created assisted by Aristotle, and then read and restructured by me.
Update: I noticed the same proof strategy would lend itself to show closure properties of regular languages, if there is interest in that.
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-computability
LLM-generated
|
1598/0 |
Mathlib.lean,Mathlib/Computability/ContextFreeGrammar.lean,Mathlib/Computability/ContextFreeGrammarClosure.lean,Mathlib/Computability/Language.lean,Mathlib/Data/List/Lemmas.lean |
5 |
3 |
['github-actions', 'nielstron'] |
nobody |
5-20796 5 days ago |
5-20846 5 days ago |
10-31112 10 days |
| 36664 |
SnirBroshi author:SnirBroshi |
feat(SetTheory/Ordinal/Commute): characterize when ordinal addition commutes |
---
The proof is from ["Cardinal and Ordinal Numbers"](https://en.wikipedia.org/wiki/Cardinal_and_Ordinal_Numbers).
A similar fact for multiplication is mentioned on [Wikipedia](https://en.wikipedia.org/wiki/Ordinal_arithmetic).
[](https://gitpod.io/from-referrer/)
|
t-set-theory |
51/0 |
Mathlib.lean,Mathlib/SetTheory/Ordinal/Commute.lean,docs/references.bib |
3 |
20 |
['SnirBroshi', 'github-actions', 'mathlib-merge-conflicts', 'plp127', 'vihdzp'] |
alreadydone and vihdzp assignee:alreadydone assignee:vihdzp |
5-16713 5 days ago |
14-74975 14 days ago |
15-43456 15 days |
| 37175 |
tb65536 author:tb65536 |
chore(GroupTheory/Nilpotent): move declarations into namespace |
This PR moves the declarations of `GroupTheory/Nilpotent` from the root namespace to either the `Subgroup` namespace or the `Group` namespace.
I also switched over to the commutator element notation in a few places.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
t-group-theory
label:t-algebra$ |
194/34 |
Mathlib/GroupTheory/Commutator/Basic.lean,Mathlib/GroupTheory/Frattini.lean,Mathlib/GroupTheory/Nilpotent.lean,Mathlib/GroupTheory/SpecificGroups/ZGroup.lean |
4 |
1 |
['github-actions'] |
nobody |
5-14748 5 days ago |
5-14748 5 days ago |
5-14516 5 days |
| 37179 |
IvanRenison author:IvanRenison |
feat(Combinatorics/SimpleGraph): add lemmas about left and right elements of `SimpleGraph.sum` |
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
25/0 |
Mathlib/Combinatorics/SimpleGraph/Sum.lean |
1 |
1 |
['github-actions'] |
nobody |
5-10005 5 days ago |
5-10087 5 days ago |
5-9853 5 days |
| 36676 |
euprunin author:euprunin |
chore: replace long terminal `simp only […]`:s (≥3 lemmas) with bare `simp`:s |
The goal of this PR is to decrease the number of times lemmas are called explicitly. Any decrease in compilation time is a welcome side effect, although it is not a primary objective.
Trace profiling results (differences <30 ms considered measurement noise):
* `Polynomial.map_comp`: unchanged 🎉
* `AlgebraicGeometry.IsClosedImmersion.Spec_iff`: 152 ms before, 107 ms after 🎉
* `nnnorm_pow_le`: unchanged 🎉
* `norm_pow_le`: unchanged 🎉
* `integral_sin`: unchanged 🎉
* `SimpleGraph.Subgraph.le_induce_union`: unchanged 🎉
* `ENNReal.iSup_add_iSup`: unchanged 🎉
* `ENat.iSup_add_iSup`: unchanged 🎉
* `ENat.mul_epow`: unchanged 🎉
* `EReal.abs_eq_zero_iff`: unchanged 🎉
* `Finset.disjoint_biUnion_left`: unchanged 🎉
* `List.splitOnP.go_acc`: unchanged 🎉
* `Multiset.count_map_eq_count`: unchanged 🎉
* `Nat.toDigitsCore_length`: unchanged 🎉
* `PartENat.pos_iff_one_le`: unchanged 🎉
* `Rat.intCast_div_self`: unchanged 🎉
* `Set.biUnion_empty_finset`: unchanged 🎉
* `Quot.subsingleton_iff`: unchanged 🎉
* `Equiv.Perm.support_closure_subset_union`: unchanged 🎉
* `Module.Basis.reindexRange_repr'`: unchanged 🎉
* `MeasureTheory.mul_le_addHaar_image_of_lt_det`: unchanged 🎉
* `MeasureTheory.memLp_finset_sum`: unchanged 🎉
* `MeasureTheory.exists_lt_lowerSemicontinuous_integral_lt`: 450 ms before, 404 ms after 🎉
* `BoundedContinuousFunction.toReal_lintegral_coe_eq_integral`: unchanged 🎉
* `nullMeasurableSet_region_between_oc`: unchanged 🎉
* `nullMeasurableSet_region_between_co`: unchanged 🎉
* `nullMeasurableSet_region_between_cc`: unchanged 🎉
* `MeasureTheory.integral_le_liminf_integral_of_forall_isOpen_measure_le_liminf_measure`: unchanged 🎉
* `padicValNat.pow_add_pow`: unchanged 🎉
* `Monotone.biUnion_Ico_Ioc_map_succ`: unchanged 🎉
* `ProbabilityTheory.condIndepSets_singleton_iff`: unchanged 🎉
* `ProbabilityTheory.sum_variance_truncation_le`: unchanged 🎉
* `IsLocalRing.CotangentSpace.span_image_eq_top_iff`: unchanged 🎉
* `galRestrict'_galLift`: 163 ms before, 48 ms after 🎉
* `Valuation.ne_zero_of_isUnit`: unchanged 🎉
* `hasProd_prod`: unchanged 🎉
Profiled using `set_option trace.profiler true in`.
---
[](https://gitpod.io/from-referrer/)
|
|
36/36 |
Mathlib/Algebra/Polynomial/Eval/Defs.lean,Mathlib/Analysis/Normed/Ring/Basic.lean,Mathlib/Analysis/SpecialFunctions/Integrals/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Subgraph.lean,Mathlib/Data/ENNReal/Operations.lean,Mathlib/Data/ENat/Lattice.lean,Mathlib/Data/ENat/Pow.lean,Mathlib/Data/EReal/Inv.lean,Mathlib/Data/Finset/Union.lean,Mathlib/Data/List/SplitOn.lean,Mathlib/Data/Multiset/Filter.lean,Mathlib/Data/Nat/Digits/Defs.lean,Mathlib/Data/Rat/Lemmas.lean,Mathlib/Data/Set/Constructions.lean,Mathlib/Data/Setoid/Basic.lean,Mathlib/GroupTheory/Perm/Finite.lean,Mathlib/LinearAlgebra/Basis/Defs.lean,Mathlib/MeasureTheory/Function/Jacobian.lean,Mathlib/MeasureTheory/Function/LpSeminorm/TriangleInequality.lean,Mathlib/MeasureTheory/Integral/Bochner/VitaliCaratheodory.lean,Mathlib/MeasureTheory/Integral/BoundedContinuousFunction.lean,Mathlib/MeasureTheory/Measure/Lebesgue/Basic.lean,Mathlib/MeasureTheory/Measure/Portmanteau.lean,Mathlib/NumberTheory/Multiplicity.lean,Mathlib/Order/SuccPred/IntervalSucc.lean,Mathlib/Probability/Independence/Conditional.lean,Mathlib/Probability/StrongLaw.lean,Mathlib/RingTheory/Ideal/Cotangent.lean,Mathlib/RingTheory/IntegralClosure/IntegralRestrict.lean,Mathlib/RingTheory/Valuation/Basic.lean,Mathlib/Topology/Algebra/InfiniteSum/Basic.lean |
31 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
5-3544 5 days ago |
5-3568 5 days ago |
13-44491 13 days |
| 34273 |
gasparattila author:gasparattila |
feat(Topology/Sets): finite sets are dense in `(Nonempty)Compacts` |
---
- [x] depends on: #34266
[](https://gitpod.io/from-referrer/)
|
t-topology |
35/0 |
Mathlib/Topology/Sets/VietorisTopology.lean |
1 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot'] |
mcdoll assignee:mcdoll |
4-81472 4 days ago |
6-24569 6 days ago |
6-25585 6 days |
| 35820 |
smmercuri author:smmercuri |
feat: unit lemmas and embedding for `FiniteAdeleRing` |
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
42/2 |
Mathlib/RingTheory/DedekindDomain/FiniteAdeleRing.lean |
1 |
1 |
['github-actions'] |
mattrobball assignee:mattrobball |
4-81471 4 days ago |
32-24772 32 days ago |
32-24768 32 days |
| 36794 |
vihdzp author:vihdzp |
doc(SetTheory/Ordinal/Principal): improve documentation |
The module docstring now contains a description of what an `op`-principal actually is. I've also added some additional names for discoverability.
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory
documentation
|
26/20 |
Mathlib/SetTheory/Ordinal/Principal.lean,Mathlib/SetTheory/Ordinal/Veblen.lean |
2 |
8 |
['SnirBroshi', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
alreadydone assignee:alreadydone |
4-81468 4 days ago |
9-81942 9 days ago |
12-14511 12 days |
| 37008 |
BryceT233 author:BryceT233 |
feat(Algebra/Ring): introduce `pullback` for `RingHom` and `AlgHom` |
This PR introduces `pullback` for `RingHom` and `AlgHom` and adds `IsLocalHom`, `IsLocalRing` instances related to them.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
161/0 |
Mathlib/Algebra/Algebra/Subalgebra/Prod.lean,Mathlib/Algebra/Ring/Subring/Basic.lean,Mathlib/RingTheory/LocalRing/LocalSubring.lean |
3 |
5 |
['BryceT233', 'github-actions', 'wwylele'] |
mattrobball assignee:mattrobball |
4-81467 4 days ago |
6-48190 6 days ago |
7-69960 7 days |
| 35600 |
yisiox author:yisiox |
feat(Computability): add Kleene's algorithm to prove regular languages have regex matching |
This PR adds a proof that every regular language has some regular expression matching it.
This was achieved by the following constructions and proofs of their correctness
- Define `toSingleεNFA` to transform any epsilon-NFA to an equivalent one with only a single start and accept state (and the type is `ExtendedState`)
- Define a bijection between `ExtendedState` and `Fin (FinEnum.card (ExtendedState σ))` to index the states
- Define `pathRegex` which implements Kleene's algorithm
- Define `toRegex` which takes an epsilon-NFA, applies `toSingleεNFA` on it, and computes the corresponding regex using `pathRegex`
The proofs of correctness chain together to yield `(toRegex M).matches' = M.accepts` which asserts the direction of Kleene's theorem required.
---
As in [#mathlib4 > Regular languages: the review queue @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Regular.20languages.3A.20the.20review.20queue/near/573958148), this overlaps with #15654, which uses GNFA instead but has been inactive.
[](https://gitpod.io/from-referrer/)
|
t-computability
new-contributor
|
492/0 |
Mathlib/Computability/EpsilonNFA.lean |
1 |
15 |
['YaelDillies', 'github-actions', 'yisiox'] |
YaelDillies assignee:YaelDillies |
4-57617 4 days ago |
6-38781 6 days ago |
25-40730 25 days |
| 33520 |
NoneMore author:NoneMore |
feat(ModelTheory/ElementarySubstructures): add a variant of Tarski-Vaught test taking sets as input |
There should exist an `ElementarySubstructure.copy` such that we can directly bundle the set itself instaed of its closure as an elementary substructure.
---
[](https://gitpod.io/from-referrer/)
|
t-logic
new-contributor
|
91/0 |
Mathlib/ModelTheory/ElementarySubstructures.lean |
1 |
3 |
['Citronhat', 'NoneMore', 'github-actions'] |
fpvandoorn assignee:fpvandoorn |
4-50170 4 days ago |
4-50234 4 days ago |
86-42015 86 days |
| 35394 |
HugLycan author:HugLycan |
feat(Tactic/Positivity): make positivity work for types that are not partial orders |
Make positivity work for types that are not partial orders
Most PositivityExt haven't been updated for non partial order cases yet. They will be updated in the later PR.
`Strictness` now does not depend `Q(PartialOrder $α)`, and the constructors of `Strictness` now have their order typeclass arguments. In order to help `Qq` synth instances property, we have to move `assertInstancesCommute` to inner branch, manually add `haveI'` or explicitly pass the order typeclass instance into `.positive`/`.nonnegative`.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-meta
|
611/322 |
Mathlib/Algebra/Order/AbsoluteValue/Basic.lean,Mathlib/Algebra/Order/Algebra.lean,Mathlib/Algebra/Order/BigOperators/Expect.lean,Mathlib/Algebra/Order/BigOperators/Ring/Finset.lean,Mathlib/Algebra/Order/Field/Basic.lean,Mathlib/Algebra/Order/Field/Power.lean,Mathlib/Algebra/Order/Floor/Extended.lean,Mathlib/Algebra/Order/Floor/Ring.lean,Mathlib/Algebra/Order/Module/Field.lean,Mathlib/Analysis/Complex/BorelCaratheodory.lean,Mathlib/Analysis/Complex/Order.lean,Mathlib/Analysis/SpecialFunctions/Bernstein.lean,Mathlib/Analysis/SpecialFunctions/Gamma/Basic.lean,Mathlib/Analysis/SpecialFunctions/Pow/NNReal.lean,Mathlib/Analysis/SpecialFunctions/Pow/Real.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Arctan.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/DerivHyp.lean,Mathlib/Combinatorics/Enumerative/DyckWord.lean,Mathlib/Combinatorics/SimpleGraph/Triangle/Removal.lean,Mathlib/Data/ENNReal/Basic.lean,Mathlib/Data/ENNReal/Real.lean,Mathlib/Data/EReal/Basic.lean,Mathlib/Data/EReal/Inv.lean,Mathlib/Data/EReal/Operations.lean,Mathlib/Data/NNReal/Defs.lean,Mathlib/Data/Nat/Totient.lean,Mathlib/Data/Rat/Cast/Order.lean,Mathlib/Data/Real/Sqrt.lean,Mathlib/MeasureTheory/Integral/Bochner/Basic.lean,Mathlib/MeasureTheory/Measure/Real.lean,Mathlib/NumberTheory/ArithmeticFunction/Misc.lean,Mathlib/NumberTheory/ArithmeticFunction/Zeta.lean,Mathlib/NumberTheory/LucasLehmer.lean,Mathlib/Tactic/Positivity/Basic.lean,Mathlib/Tactic/Positivity/Core.lean,Mathlib/Tactic/Positivity/Finset.lean,Mathlib/Topology/Algebra/InfiniteSum/Order.lean |
37 |
23 |
['HugLycan', 'JovanGerb', 'fpvandoorn', 'github-actions', 'joneugster'] |
JovanGerb assignee:JovanGerb |
4-48224 4 days ago |
11-51961 11 days ago |
11-54845 11 days |
| 35828 |
AntoineChambert-Loir author:AntoineChambert-Loir |
feat(RingTheory/GradedAlgebra/Homogeneous/Hom): homogeneous algebra maps and evaluation |
Define the notion of homogeneous algebra morphism between algebra maps.
Prove that the evaluation of a (weighted) homogeneous multivariate polynomial at adequate elements
of a graded algebra define a homogeneous algebra morphism.
co-authored with @mariainesdff
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
74/0 |
Mathlib.lean,Mathlib/Algebra/GradedMonoid.lean,Mathlib/RingTheory/GradedAlgebra/Homogeneous/Hom.lean |
3 |
5 |
['github-actions', 'joneugster', 'riccardobrasca'] |
riccardobrasca assignee:riccardobrasca |
4-47181 4 days ago |
31-86130 31 days ago |
32-120 32 days |
| 36772 |
xroblot author:xroblot |
feat(FieldTheory/IntermediateField): define the image of an intermediate field in a larger extension |
Given a tower of fields `K ⊆ L ⊆ M` and an intermediate field `F` of `L/K`, defines `IntermediateField.extendTop F M` as the image of `F` under` L →ₐ[K] M`, together with instances transferring `Algebra`, `IsFractionRing` and `IsIntegralClosure` to the image. The main motivation is to embed a subextension `F/K` of `L/K` into a larger extension `M/K`. This is useful for instance when one needs `M/K` to be Galois.
This construction will be useful in a later PR to prove that the compositum of two unramified extensions is unramified. Indeed, the result is first proved when the two extensions are `IntermediateField K L` with `L/K` Galois, and then in the general case (see #36843)
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
120/0 |
Mathlib.lean,Mathlib/Algebra/Algebra/Hom.lean,Mathlib/FieldTheory/IntermediateField/ExtendTop.lean,Mathlib/RingTheory/Localization/FractionRing.lean |
4 |
3 |
['github-actions', 'plp127', 'xroblot'] |
chrisflav assignee:chrisflav |
4-40670 4 days ago |
4-40549 4 days ago |
13-27738 13 days |
| 36955 |
NoneMore author:NoneMore |
chore(ModelTheory/Types): expose `T` in `typesWith` and move it to `Theory` |
Make the `T : L.Theory` argument explicit in `typesWith` and place the definition in `FirstOrder.Language.Theory` to enable dot notation.
---
[](https://gitpod.io/from-referrer/)
|
t-logic
new-contributor
|
24/19 |
Mathlib/ModelTheory/Topology/Types.lean,Mathlib/ModelTheory/Types.lean |
2 |
2 |
['github-actions'] |
nobody |
4-37400 4 days ago |
9-27765 9 days ago |
9-27531 9 days |
| 36201 |
themathqueen author:themathqueen |
feat(Analysis/CStarAlgebra): set of star projections equals the extreme points of the nonnegative closed unit ball |
An element in a non-unital C⋆-algebra is a projection iff it is an extreme point of the nonnegative closed unit ball. This is from 1.6.2 in Sakai's C⋆-algebras and W⋆-algebras (the proof is different though).
Co-authored-by: Jon Bannon <59937998+JonBannon@users.noreply.github.com>
---
- [x] depends on: #35997
[](https://gitpod.io/from-referrer/)
|
t-analysis |
97/0 |
Mathlib.lean,Mathlib/Analysis/CStarAlgebra/Extreme.lean,docs/references.bib |
3 |
7 |
['github-actions', 'j-loreaux', 'mathlib-dependent-issues', 'themathqueen'] |
ADedecker assignee:ADedecker |
4-20443 4 days ago |
17-45373 17 days ago |
19-34899 19 days |
| 33935 |
mckoen author:mckoen |
feat(CategoryTheory/Monoidal/Arrow): define monoidal structure on arrow category |
defines a monoidal category structure on the arrow category of a cartesian closed category.
---
- [x] depends on: #33974
- [x] depends on: #34887
[](https://gitpod.io/from-referrer/)
|
t-category-theory
maintainer-merge
large-import
|
579/1 |
Mathlib.lean,Mathlib/CategoryTheory/Monoidal/Arrow.lean,Mathlib/CategoryTheory/Monoidal/Closed/Basic.lean,Mathlib/CategoryTheory/Monoidal/Limits/HasLimits.lean,Mathlib/CategoryTheory/Monoidal/Limits/Shapes/Pullback.lean |
5 |
38 |
['dagurtomas', 'github-actions', 'joelriou', 'mathlib-dependent-issues', 'mckoen'] |
joelriou assignee:joelriou |
4-18559 4 days ago |
4-18559 4 days ago |
19-59045 19 days |
| 36863 |
artie2000 author:artie2000 |
feat(Algebra/Ring/Subsemiring): subsemiring support |
* Define structure for support of a subsemiring when it's an ideal
* Prove sufficient condition for it to be an ideal
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
93/0 |
Mathlib.lean,Mathlib/Algebra/Ring/Subsemiring/Support.lean |
2 |
2 |
['artie2000', 'github-actions'] |
nobody |
4-13605 4 days ago |
11-19008 11 days ago |
11-19175 11 days |
| 37247 |
yuma-mizuno author:yuma-mizuno |
feat(GroupTheory/MonoidLocalization): add prime transport lemmas |
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
75/7 |
Mathlib/GroupTheory/MonoidLocalization/MonoidWithZero.lean,Mathlib/RingTheory/Localization/Basic.lean,Mathlib/RingTheory/Localization/Defs.lean |
3 |
1 |
['github-actions'] |
nobody |
4-6177 4 days ago |
4-6255 4 days ago |
4-6021 4 days |
| 37248 |
harahu author:harahu |
doc(Tactic): avoid lazy continuation lines |
We resolve the ambiguity inherent in lazy (un-indented) list item continuation lines by either indenting them or separating them by inserting a newline in the cases where the item continuation was a mistake.
---
[](https://gitpod.io/from-referrer/)
|
|
131/116 |
Mathlib/Tactic/Algebraize.lean,Mathlib/Tactic/Basic.lean,Mathlib/Tactic/CategoryTheory/Coherence/PureCoherence.lean,Mathlib/Tactic/ComputeDegree.lean,Mathlib/Tactic/DepRewrite.lean,Mathlib/Tactic/Finiteness.lean,Mathlib/Tactic/FunProp.lean,Mathlib/Tactic/FunProp/Core.lean,Mathlib/Tactic/FunProp/Theorems.lean,Mathlib/Tactic/Linarith/Oracle/FourierMotzkin.lean,Mathlib/Tactic/Linter/FlexibleLinter.lean,Mathlib/Tactic/MinImports.lean,Mathlib/Tactic/MoveAdd.lean,Mathlib/Tactic/Order.lean,Mathlib/Tactic/SimpIntro.lean,Mathlib/Tactic/Simps/Basic.lean,Mathlib/Tactic/Widget/InteractiveUnfold.lean |
17 |
1 |
['github-actions'] |
nobody |
3-85787 3 days ago |
3-85854 3 days ago |
4-4917 4 days |
| 37190 |
cjrl author:cjrl |
feat(Combinatorics): Set-Valued Pigeonhole Principle |
This PR contributes two theorems to combinatorics:
- `exists_lt_card_cover_of_card_biUnion_lt_card` is a set-valued version of the pigeonhole principle.
- `sum_card_eq_sum_card_cover_biUnion` is a set theoretic corollary of a double counting result proved for bipartite graphs (`Finset.sum_card_bipartiteAbove_eq_sum_card_bipartiteBelow`). This was needed to prove the above pigeonhole principle.
The motivation for these results is our Latin Square PR #36698. These results were proved in less general terms in that PR, but are independent of Latin Square considerations and so we have generalized and moved them into more relevant files.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-combinatorics
|
66/0 |
Mathlib/Combinatorics/Enumerative/DoubleCounting.lean,Mathlib/Combinatorics/Pigeonhole.lean |
2 |
3 |
['cjrl', 'github-actions'] |
nobody |
3-83881 3 days ago |
4-78600 4 days ago |
4-78374 4 days |
| 35329 |
BryceT233 author:BryceT233 |
feat(Data/Finsupp): add computational lemmas for cons and single |
This PR introduces `cons_eq_single_zero_iff` and `cons_eq_single_succ_iff`, which are helper lemmas designed to facilitate calculations (or simplification) of equalities involving `Finsupp.cons` and `Finsupp.single`.
---
[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
|
25/0 |
Mathlib/Data/Finsupp/Fin.lean |
1 |
2 |
['github-actions'] |
joneugster assignee:joneugster |
3-81453 3 days ago |
28-1715 28 days ago |
43-57149 43 days |
| 36689 |
martinwintermath author:martinwintermath |
feat(Algebra/Module/Submodule): Submodules over a ring are modular elements in the lattice of submodules over a semiring |
Add lemmas that state that submodules over a sub-ring `S` of a semiring `R` are modular elements in the lattice of submodules over the semiring `R`, that is, they satisfy the modular law.
There are two new lemmas. Let `s` and `t` be `R`-submodules, and `p` an `S`-submodule:
* `sup_inf_assoc_of_le_restrictScalars`: if `s ≤ p` then `s ⊔ (t ⊓ p) = (s ⊔ t) ⊓ p` (i.e., `p` is right-modular)
* `inf_sup_assoc_of_restrictScalars_le`: if `p ≤ s` then `s ⊓ (t ⊔ p) = (s ⊓ t) ⊔ p` (i.e., `p` is left-modular)
I am not aware of an implementation of right/left-modular elements, so I stated the lemmas without using the language of modular lattices.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
51/0 |
Mathlib/Algebra/Module/Submodule/RestrictScalars.lean |
1 |
1 |
['github-actions'] |
ocfnash assignee:ocfnash |
3-81447 3 days ago |
15-19447 15 days ago |
15-19213 15 days |
| 36889 |
KryptosAI author:KryptosAI |
feat(LinearAlgebra/Matrix/MoorePenrose): define the Moore-Penrose pseudo-inverse |
Defines `IsMoorePenroseInverse` and constructs the Moore-Penrose pseudo-inverse for matrices over `RCLike` fields. Closes #24787.
`Defs.lean` defines the predicate using the heterogeneous four-condition characterization from the issue, plus uniqueness for semigroups with `StarMul`.
`Basic.lean` constructs the inverse via orthogonal projection and `ker(f)ᗮ ≃ₗ range(f)`, then proves:
```lean
theorem exists_isMoorePenroseInverse (A : Matrix m n 𝕜) :
∃ (As : Matrix n m 𝕜), IsMoorePenroseInverse A As
def moorePenroseInverse (A : Matrix m n 𝕜) : Matrix n m 𝕜
lemma moorePenroseInverse_conjTranspose :
moorePenroseInverse (Aᴴ) = (moorePenroseInverse A)ᴴ
lemma moorePenroseInverse_eq_nonsing_inv (hA : IsUnit A) :
moorePenroseInverse A = A⁻¹
```
### AI disclosure
- **Gemini 2.5 Pro**: proof planning, initial code, edits
- **Claude Code (Opus 4.6)**: debugging, compilation, type-checking against mathlib4
I reviewed and directed all changes.
---
[](https://gitpod.io/from-referrer/) |
t-algebra
new-contributor
LLM-generated
label:t-algebra$ |
399/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Matrix/MoorePenrose/Basic.lean,Mathlib/LinearAlgebra/Matrix/MoorePenrose/Defs.lean |
3 |
25 |
['KryptosAI', 'github-actions', 'vihdzp'] |
dagurtomas assignee:dagurtomas |
3-81445 3 days ago |
9-24786 9 days ago |
9-25694 9 days |
| 36891 |
vihdzp author:vihdzp |
feat(SetTheory/Ordinal/Exponential): characterization of `a ^ b = 1` |
Used in the CGT repo.
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory |
12/0 |
Mathlib/SetTheory/Ordinal/Exponential.lean |
1 |
6 |
['SnirBroshi', 'github-actions', 'vihdzp'] |
alreadydone assignee:alreadydone |
3-81444 3 days ago |
6-980 6 days ago |
10-55954 10 days |
| 36917 |
iarnoldy author:iarnoldy |
feat(LinearAlgebra/CliffordAlgebra): bivector Lie subalgebra |
Define the submodule of grade-n elements (n-vectors) in a Clifford algebra
and show that bivectors (n = 2) form a `LieSubalgebra` under the commutator
bracket. This gives the standard construction of so(Q) from Cl(Q).
Main definitions:
* `CliffordAlgebra.nvector` — grade-n submodule, spanned by n-fold products of ι
* `CliffordAlgebra.bivector` — nvector 2 Q, the bivector submodule
* `CliffordAlgebra.bivectorLieSubalgebra` — LieSubalgebra of bivectors
Main results:
* `CliffordAlgebra.lie_ι_mul_ι` — explicit commutator formula for bivector generators
* `CliffordAlgebra.lie_mem_bivector` — bracket closure of the bivector submodule
* `CliffordAlgebra.bivector_le_evenOdd_zero` — bivectors lie in the even part
The `LieModule` instance for `CliffordAlgebra Q` acting on itself is provided
explicitly (`instLieModuleSelf`) because automatic synthesis exceeds the default
heartbeat limit.
AI disclosure: This code was generated with AI assistance (Claude, Anthropic).
The submitter directed the construction and QA but is not a Lean programmer.
The mathematical content is classical (Doran & Lasenby, Ch. 3). Extra review
scrutiny is welcomed.
Co-authored-by: Claude
---
Open design questions for reviewers:
1. **Naming**: Is `nvector` the right name? Eric Wieser suggested generalizing
to n-vectors. Alternatives: `ιProd`, `grade`, or following the `exteriorPower`
pattern via `equivExterior` pullback.
2. **Scalar contamination**: The spanning set `{ι m₁ * ι m₂}` includes
`ι m * ι m = Q(m)` (scalars). Eric suggested pulling back `exteriorPower`
through `equivExterior` for pure grades (requires `Invertible (2 : R)`).
Happy to rework if that's preferred.
3. **instLieModuleSelf**: Should this be an upstream issue rather than a
local workaround? @ocfnash
4. **ι_mul_ι_comm'**: This may duplicate existing API (`ι_mul_ι_comm b a`
plus `polar_comm`). Happy to inline if reviewers prefer.
Discussed on Zulip: https://leanprover.zulipchat.com (Is there code for X? thread) |
new-contributor
t-algebra
LLM-generated
label:t-algebra$ |
338/0 |
Mathlib.lean,Mathlib/LinearAlgebra/CliffordAlgebra/Bivector.lean |
2 |
2 |
['github-actions'] |
dagurtomas assignee:dagurtomas |
3-81444 3 days ago |
10-1501 10 days ago |
10-2492 10 days |
| 36951 |
mbkybky author:mbkybky |
feat(Algebra/Module): define stably free modules |
We define stably free modules: a module `M` over a commutative ring `R` is called stably free if there exists a finite free module `N` over `R` such that `M ⊕ N` is free.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
52/0 |
Mathlib.lean,Mathlib/Algebra/Module/StablyFree/Basic.lean |
2 |
1 |
['github-actions'] |
dagurtomas assignee:dagurtomas |
3-81442 3 days ago |
9-37301 9 days ago |
9-37067 9 days |
| 36980 |
Thmoas-Guan author:Thmoas-Guan |
feat(Algebra): exactness lemma for linear map |
Add some variant of existing lemma for linear map
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
14/0 |
Mathlib/Algebra/Exact.lean |
1 |
1 |
['github-actions'] |
dagurtomas assignee:dagurtomas |
3-81440 3 days ago |
8-58138 8 days ago |
8-57904 8 days |
| 37000 |
Qulinecier author:Qulinecier |
feat: generalize rank_submatrix_le to arbitrary column maps |
This PR generalizes `rank_submatrix_le` to allow an arbitrary function on columns
instead of requiring an `Equiv`. The previous version required `e : m₀ ≃ m` and
`[Fintype m]`, while this version only requires `c : n₀ → n` and `[Fintype n₀]`.
The previous version can be recovered as a special case of the new one.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
16/6 |
Mathlib/LinearAlgebra/Matrix/Rank.lean |
1 |
4 |
['Qulinecier', 'github-actions', 'themathqueen'] |
dagurtomas assignee:dagurtomas |
3-81439 3 days ago |
8-13417 8 days ago |
8-13183 8 days |
| 37193 |
JJYYY-JJY author:JJYYY-JJY |
docs(metric): add Main results sections for metric spaces |
Add Main results sections to metric-space definition modules
This PR improves discoverability in the metric-space definition modules by adding curated Main results sections and by fixing a stale internal file reference.
Add a Main results section to the pseudo-metric definitions module, highlighting key constructions and foundational lemmas.
Add a Main results section to the metric-space definitions module, highlighting core constructions and distance-based characterization lemmas.
Update the implementation note to point to the current pseudo-metric definitions path, clarifying where elementary pseudometric facts live.
This is a docstring-only change:
No declarations, theorem names, imports, instances, or proofs are changed;
only module docstrings in the two metric-space definition files are edited.
---
[](https://gitpod.io/from-referrer/) |
t-topology
new-contributor
|
25/3 |
Mathlib/Topology/MetricSpace/Defs.lean,Mathlib/Topology/MetricSpace/Pseudo/Defs.lean |
2 |
4 |
['copilot-pull-request-reviewer', 'github-actions'] |
j-loreaux assignee:j-loreaux |
3-81435 3 days ago |
4-78284 4 days ago |
4-78050 4 days |
| 37235 |
gasparattila author:gasparattila |
chore: do not tag `Measurable.prod` with `fun_prop` |
This avoids relying on the bug where `fun_prop` unfolds semireducible definitions in the presence of projections (see [Zulip discussion](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/.60fun_prop.60.20sometimes.20unfolds.20semireducible.20definitions/with/574596569) of the bug).
---
[](https://gitpod.io/from-referrer/)
|
t-measure-probability |
6/1 |
Mathlib/MeasureTheory/MeasurableSpace/Constructions.lean,Mathlib/MeasureTheory/MeasurableSpace/Embedding.lean |
2 |
1 |
['github-actions'] |
RemyDegenne assignee:RemyDegenne |
3-81432 3 days ago |
4-15378 4 days ago |
4-15144 4 days |
| 37242 |
harahu author:harahu |
doc(Topology): avoid lazy continuation lines |
We resolve the ambiguity inherent in lazy (un-indented) list item continuation lines by either indenting them or separating them by inserting a newline in the cases where the item continuation was a mistake.
---
[](https://gitpod.io/from-referrer/)
|
t-topology |
15/10 |
Mathlib/Topology/Algebra/RestrictedProduct/TopologicalSpace.lean,Mathlib/Topology/Category/Compactum.lean,Mathlib/Topology/Gluing.lean,Mathlib/Topology/Sheaves/Abelian.lean,Mathlib/Topology/Sheaves/Points.lean,Mathlib/Topology/Sheaves/Presheaf.lean,Mathlib/Topology/Sheaves/SheafOfFunctions.lean |
7 |
1 |
['github-actions'] |
j-loreaux assignee:j-loreaux |
3-81431 3 days ago |
4-9512 4 days ago |
4-9278 4 days |
| 31046 |
Thmoas-Guan author:Thmoas-Guan |
feat(Homology) : compatibility of map between `Ext` |
In this PR, we proved the compatibility of map between `Ext` induced by exact functor with
1: `mk_0` 2: `comp` 3: `extClass`
---
- [x] depends on: #31707
[](https://gitpod.io/from-referrer/) |
t-category-theory |
232/8 |
Mathlib/Algebra/Homology/DerivedCategory/Basic.lean,Mathlib/Algebra/Homology/DerivedCategory/Ext/Map.lean,Mathlib/Algebra/Homology/DerivedCategory/ShortExact.lean,Mathlib/Algebra/Homology/HomologicalComplexAbelian.lean,Mathlib/Algebra/Homology/HomotopyCategory/ShortExact.lean |
5 |
43 |
['Thmoas-Guan', 'dagurtomas', 'github-actions', 'joelriou', 'mathlib-merge-conflicts', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'robin-carlier'] |
eric-wieser assignee:eric-wieser |
3-76833 3 days ago |
3-76833 3 days ago |
43-55340 43 days |
| 37076 |
ertwro author:ertwro |
feat(Combinatorics/SimpleGraph/Hasse): Hasse diagram is triangle-free |
Add `SimpleGraph.hasse_cliqueFree_three`: the Hasse diagram of a preorder is triangle-free (`CliqueFree 3`).
This is the graph-theoretic formulation of `not_covBy_of_lt_of_lt`: if `a ⋖ b` and `b ⋖ c`, then `¬ a ⋖ c`, so no three elements can be pairwise adjacent in the Hasse diagram.
The proof extracts three vertices from a hypothetical 3-clique, case-splits on the covering directions (8 cases), and closes each by `not_covBy_of_lt_of_lt` (6 transitive cases) or `lt_asymm` (2 cyclic cases).
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
13/1 |
Mathlib/Combinatorics/SimpleGraph/Hasse.lean |
1 |
11 |
['SnirBroshi', 'ertwro', 'github-actions'] |
nobody |
3-71317 3 days ago |
6-60079 6 days ago |
6-59845 6 days |
| 37131 |
IvanRenison author:IvanRenison |
doc(Combinatorics/SimpleGraph/Partition): improve docstrings in `SimpleGraph.Partition` |
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
11/16 |
Mathlib/Combinatorics/SimpleGraph/Partition.lean |
1 |
1 |
['github-actions'] |
nobody |
3-67883 3 days ago |
6-494 6 days ago |
6-260 6 days |
| 35906 |
scp020 author:scp020 |
feat(Combinatorics/SimpleGraph/Walks): chords of walks |
Define `Walk.IsChord` and `Walk.IsChordless` predicates in a new file `SimpleGraph/Walks/Chord.lean`.
See "chord" in https://en.wikipedia.org/wiki/Glossary_of_graph_theory
---
[Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Walk.2EIsChordless.20live.20in.20mathlib.3F/with/575277309)
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
69/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Walks/Chord.lean |
2 |
53 |
['SnirBroshi', 'YaelDillies', 'github-actions', 'mathlib-merge-conflicts', 'scp020'] |
YaelDillies assignee:YaelDillies |
3-62667 3 days ago |
3-81813 3 days ago |
22-49981 22 days |
| 36938 |
kebekus author:kebekus |
feat: Poisson Integral Formula for the circle average of `log ‖· - ρ‖` |
Establish an analogue of the **Poisson Integral Formula** for the circle average of `log ‖· - ρ‖` along the circle with radius `‖ρ‖`.
The result will be used to establish Poisson's generalization of the classic Jensen formula in complex analysis.
---
[](https://gitpod.io/from-referrer/)
|
t-analysis |
234/0 |
Mathlib/Analysis/Complex/JensenFormula.lean,Mathlib/Analysis/Complex/Poisson.lean |
2 |
9 |
['github-actions', 'kebekus', 'sgouezel'] |
sgouezel assignee:sgouezel |
3-60785 3 days ago |
3-60785 3 days ago |
9-19720 9 days |
| 36817 |
Thmoas-Guan author:Thmoas-Guan |
feat(Data/ENat): more lemma about WithBot ENat |
In this PR, we add some lemma about WithBot ENat found useful in dimension shifting.
Co-authored-by: Yimin Fu
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
22/0 |
Mathlib/Algebra/Order/Monoid/WithTop.lean,Mathlib/Data/ENat/Basic.lean |
2 |
11 |
['Thmoas-Guan', 'dagurtomas', 'github-actions', 'vihdzp'] |
dagurtomas assignee:dagurtomas |
3-57658 3 days ago |
3-80817 3 days ago |
12-5497 12 days |
| 36965 |
vihdzp author:vihdzp |
chore(SetTheory/Cardinal): tweak `succ` lemmas |
We leave the `SuccOrder` instance unexposed. It doesn't have any particularly good def-eqs, it's simply defined as the infimum of all larger cardinals. We also golf some surrounding theorems.
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory |
49/41 |
Mathlib/LinearAlgebra/Dimension/Basic.lean,Mathlib/SetTheory/Cardinal/Basic.lean,Mathlib/SetTheory/Cardinal/Order.lean,Mathlib/SetTheory/Ordinal/Basic.lean |
4 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
3-52342 3 days ago |
3-52369 3 days ago |
8-61040 8 days |
| 37022 |
vihdzp author:vihdzp |
feat(SetTheory/Cardinal/Cofinality): cof (a * b) = cof b |
We also tag `isSuccLimit_omega0` as simp, so that simp can solve goals like `(ω_ ω).cof = ω` or `cof (x * ω) = ω`.
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory |
12/3 |
Mathlib/Order/SuccPred/Limit.lean,Mathlib/SetTheory/Cardinal/Cofinality.lean,Mathlib/SetTheory/Ordinal/Arithmetic.lean |
3 |
4 |
['SnirBroshi', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
3-52148 3 days ago |
5-52213 5 days ago |
7-54849 7 days |
| 37244 |
tb65536 author:tb65536 |
chore(Algebra/Algebra/Basic): add `IsLocalHom (algebraMap R R)` |
Experimentally, this seems to speed things up.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
t-algebra
label:t-algebra$ |
3/0 |
Mathlib/Algebra/Algebra/Basic.lean |
1 |
4 |
['github-actions', 'leanprover-radar', 'tb65536'] |
nobody |
3-49957 3 days ago |
4-5892 4 days ago |
4-5660 4 days |
| 35405 |
xroblot author:xroblot |
feat(RamificationInertia): add `ramificationIdx_le_ramificationIdx` and `inertiaDeg_le_inertiaDeg` |
Assume that `Q` is over `P` that is over `p`. We prove that:
- `Ideal.ramificationIdx P Q ≤ Ideal.ramificationIdx p Q`
- `Ideal.inertiaDeg P Q ≤ Ideal.inertiaDeg p Q`
Note: These results also follow from [Ideal.ramificationIdx_algebra_tower](https://leanprover-community.github.io/mathlib4_docs/Mathlib/NumberTheory/RamificationInertia/Basic.html#Ideal.ramificationIdx_algebra_tower) and [Ideal.inertiaDeg_algebra_tower](https://leanprover-community.github.io/mathlib4_docs/Mathlib/NumberTheory/RamificationInertia/Basic.html#Ideal.inertiaDeg_algebra_tower) but they are proved here in a slightly more general situation.
---
- [x] depends on: #35483
[](https://gitpod.io/from-referrer/)
|
t-number-theory |
30/0 |
Mathlib/NumberTheory/RamificationInertia/Inertia.lean,Mathlib/NumberTheory/RamificationInertia/Ramification.lean |
2 |
5 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
alexjbest assignee:alexjbest |
3-48706 3 days ago |
4-43000 4 days ago |
40-38489 40 days |
| 32245 |
erdOne author:erdOne |
feat(RingTheory): the `coassoc_simps` simp set |
From Toric
Co-authored-by: Yaël Dillies
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
toric
t-meta
|
781/0 |
Mathlib.lean,Mathlib/RingTheory/Coalgebra/CoassocSimps.lean,Mathlib/Tactic/Attr/Register.lean,MathlibTest/RingTheory/CoassocSimps.lean |
4 |
26 |
['Paul-Lez', 'YaelDillies', 'b-mehta', 'erdOne', 'github-actions', 'joneugster', 'riccardobrasca'] |
b-mehta assignee:b-mehta |
3-47594 3 days ago |
4-48759 4 days ago |
36-53115 36 days |
| 35287 |
arnoudvanderleer author:arnoudvanderleer |
feat(AlgebraicTopology/SimplicialSet): define isomorphisms in simplicial sets, and the coherent isomorphism simplicial set |
show that any edge in a simplicial set, that is the image of the forward edge of the coherent isomorphism under a simplicial set morphism, is an isomorphism.
---
[](https://gitpod.io/from-referrer/)
|
t-algebraic-topology
new-contributor
infinity-cosmos
|
343/3 |
Mathlib.lean,Mathlib/AlgebraicTopology/SimplicialSet/CoherentIso.lean,Mathlib/AlgebraicTopology/SimplicialSet/CompStruct.lean,Mathlib/AlgebraicTopology/SimplicialSet/StdSimplex.lean,Mathlib/CategoryTheory/CodiscreteCategory.lean |
5 |
80 |
['arnoudvanderleer', 'github-actions', 'joelriou', 'robin-carlier'] |
robin-carlier assignee:robin-carlier |
3-47417 3 days ago |
3-53108 3 days ago |
9-37350 9 days |
| 36989 |
MichaelStollBayreuth author:MichaelStollBayreuth |
feat(NumberTheory/Height/EllipticCurve): new file |
This PR defines the "addition-and-subtraction map" on x-coordinates of pairs of points on elliptic curves and proves an inequality for the logarithmic height of the image.
In a later PR, we will show that the map thus defined indeed comes from addition and subtraction on an elliptic curve.
---
[](https://gitpod.io/from-referrer/)
|
t-number-theory |
214/0 |
Mathlib.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Affine/AddSubMap.lean,Mathlib/NumberTheory/Height/EllipticCurve.lean |
3 |
20 |
['MichaelStollBayreuth', 'Multramate', 'github-actions', 'riccardobrasca'] |
riccardobrasca assignee:riccardobrasca |
3-28988 3 days ago |
3-48481 3 days ago |
6-38680 6 days |
| 37277 |
vihdzp author:vihdzp |
chore: reorder arguments in `DirSupClosed` |
We move `d ⊆ s` out of an unrelated binder.
---
- [x] depends on: #37273
[](https://gitpod.io/from-referrer/)
|
t-order |
12/12 |
Mathlib/Order/DirSupClosed.lean,Mathlib/Topology/Order/ScottTopology.lean |
2 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
3-22945 3 days ago |
3-22947 3 days ago |
3-23883 3 days |
| 37274 |
JovanGerb author:JovanGerb |
chore(Order/Hom/WithTopBot): use `to_dual` |
Use `to_dual` on `WithBot`/`WithTop` morphism definitions. This removes one `backward.isDefEq.respectTransparency` option.
Intentionally remove `simps!` from `LatticeHom.withTopWithBot` and `LatticeHom.withTop'`, instead putting `simp` on the equivalent manual lemma`.
---
[](https://gitpod.io/from-referrer/)
|
t-order |
55/205 |
Mathlib/Order/Hom/WithTopBot.lean |
1 |
1 |
['github-actions'] |
nobody |
3-22017 3 days ago |
3-22078 3 days ago |
3-24404 3 days |
| 37027 |
mike1729 author:mike1729 |
refactor(LocallyConvex,Topology): split WeakDual/WeakSpace and rename WeakBilin |
Reorganize the weak topology files for cleaner dependencies:
1. **Rename** `Analysis.LocallyConvex.WeakDual` → `Analysis.LocallyConvex.WeakBilin`:
This file contains only general `WeakBilin` infrastructure (`LinearMap.toSeminormFamily`,
`weakBilin_withSeminorms`, `WeakBilin.locallyConvexSpace`, etc.) with no reference to
`WeakDual`. The name now reflects the content.
2. **Split** `Topology.Algebra.Module.WeakDual` into `WeakDual` and `WeakSpace`:
The `WeakSpace` type, its instances, and `toWeakSpace`/`toWeakSpaceCLM` move to a new
`Topology.Algebra.Module.WeakSpace`. This allows downstream files about weak spaces
to avoid depending on `WeakDual`.
3. **Add** `WeakSpace.seminormFamily` and `WeakSpace.withSeminorms` to
`Analysis.LocallyConvex.WeakSpace`: The weak topology on `WeakSpace 𝕜 E` is generated
by the seminorm family `fun f x ↦ ‖f x‖` indexed by `StrongDual 𝕜 E`, via the general
`LinearMap.weakBilin_withSeminorms` applied to the flipped `topDualPairing`.
Moves:
- Mathlib.Analysis.LocallyConvex.WeakDual -> Mathlib.Analysis.LocallyConvex.WeakBilin
- WeakSpace -> Mathlib.Topology.Algebra.Module.WeakSpace
- toWeakSpace -> Mathlib.Topology.Algebra.Module.WeakSpace
- toWeakSpaceCLM -> Mathlib.Topology.Algebra.Module.WeakSpace
CC @j-loreaux |
new-contributor
file-removed
|
192/114 |
Mathlib.lean,Mathlib/Analysis/LocallyConvex/WeakBilin.lean,Mathlib/Analysis/LocallyConvex/WeakSpace.lean,Mathlib/Analysis/Normed/Module/WeakDual.lean,Mathlib/Topology/Algebra/Module/WeakDual.lean,Mathlib/Topology/Algebra/Module/WeakSpace.lean |
6 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
3-20472 3 days ago |
5-50069 5 days ago |
7-48509 7 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.
Secondary additions necessary for proofs:
* `PointedCone.ofSubmodule_le` and `PointedCone.ofSubmodule_lt`
* `PointedCone.hull_le_span` as a short form of `Submodule.span_le_restrictScalars R≥0 R s`
* `PointedCone.neg_ofSubmodule` proving `-(ofSubmodule S) = S`
Co-authored by: Olivia Röhrig, Kilian Rueß, Artie Khovanov
---
[](https://gitpod.io/from-referrer/)
|
|
94/5 |
Mathlib/Geometry/Convex/Cone/Pointed.lean |
1 |
49 |
['artie2000', 'github-actions', 'martinwintermath', 'mathlib-merge-conflicts'] |
nobody |
3-15576 3 days ago |
5-47728 5 days ago |
16-2851 16 days |
| 35317 |
mkaratarakis author:mkaratarakis |
feat: lemmas for the analytic part of the proof of the Gelfond–Schneider theorem (Part 5/5) |
If a function `R : ℂ → ℂ` factors as `R z = (z - z₀) ^ r * R₁ z`, where `R₁` is analytic everywhere, then for any `k ≤ r`, there exists an everywhere analytic function `R₂ : ℂ → ℂ` such that the `k`-th iterated derivative of `R` is given by `deriv^[k] R z = (z - z₀) ^ (r - k) * (r! / (r - k)! * R₁ z + (z - z₀) * R₂ z)`.
This lemma is necessary for the proof of the Gelfond-Schneider theorem in subsequent PRs.
---
[](https://gitpod.io/from-referrer/)
|
t-number-theory
new-contributor
t-analysis
|
57/0 |
Mathlib/Analysis/Complex/CauchyIntegral.lean |
1 |
16 |
['MichaelStollBayreuth', 'github-actions', 'mkaratarakis'] |
nobody |
3-15234 3 days ago |
3-15234 3 days ago |
25-11833 25 days |
| 33010 |
xgenereux author:xgenereux |
feat: localizations of primes in Dedekind domains are valuation subrings |
The goal of this PR is the theorem `valuationSubringAtPrime_eq_valuationSubring` which states that the localization at a nonzero prime in a Dedekind domain is precisely the valuation subring of the valuation associated with that same prime.
Given a Dedekind domain `R` in its field of fractions `K`, we define `IsDedekindDomain.valuationSubringAtPrime`, which is the localization of `R` at a nonzero prime, viewed as valuation subring of `K`.
We show that `valuationSubringAtPrime K v ≤ (valuation K v).valuationSubring` and use maximality to show that they must be equal.
Other small note:
- added a variant of `intValuation_exists_uniformizer` in terms of `valuation` (instead of intValuation).
Co-authored-by: María Inés de Frutos Fernández <[mariaines.dff@gmail.com](mailto:mariaines.dff@gmail.com)>
---
- [ ] depends on: #33631
- [ ] depends on: #33634
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
68/6 |
Mathlib/RingTheory/DedekindDomain/AdicValuation.lean |
1 |
11 |
['erdOne', 'github-actions', 'mathlib-dependent-issues', 'xgenereux'] |
nobody |
3-14849 3 days ago |
3-14819 3 days ago |
5-48705 5 days |
| 36834 |
dagurtomas author:dagurtomas |
feat(Tactic/Simps): add option to dsimplify LHS |
Adds an option `dsimpLhs` to `simps` which runs `dsimp` on the left hand side of the generated lemmas. This is a way to auto-generate lemmas with the `dsimp%` operator on the left hand side, as is common in category theory, see e.g. https://github.com/leanprover-community/mathlib4/blob/09af23f880d656d9a7950647a1e9c01047d502f0/Mathlib/CategoryTheory/Limits/Cones.lean#L137-L140
---
[](https://gitpod.io/from-referrer/)
|
t-meta |
77/0 |
Mathlib/Tactic/Simps/Basic.lean,MathlibTest/Simps.lean |
2 |
18 |
['JovanGerb', 'dagurtomas', 'eric-wieser', 'github-actions'] |
dwrensha assignee:dwrensha |
3-9268 3 days ago |
7-14216 7 days ago |
10-43513 10 days |
| 36439 |
xgenereux author:xgenereux |
feat(Algebra/Adjoin): CoeT instances for Algebra.adjoin on singletons |
Is it a common occurrence that I need to consider an element `x` or some polynomial evaluated in `x`, `p.eval x` as an element of `Algebra.adjoin R {x}`.
This makes it so that we can write
- `(x : adjoin R {x})` instead of `⟨x, self_mem_adjoin_singleton A x⟩`
- `(p.eval x : adjoin R {x})` instead of `⟨p.aeval x, aeval_mem_adjoin_singleton A x⟩`
This is particularly useful when we need to write the type anyways, so that we need not to write `(⟨p.aeval x, aeval_mem_adjoin_singleton A x⟩ : adjoin R {x})` anymore.
Co-authored-by: María Inés de Frutos Fernández <[mariaines.dff@gmail.com](mailto:mariaines.dff@gmail.com)>
---
[](https://gitpod.io/from-referrer/)
|
|
9/3 |
Mathlib/Algebra/Algebra/Subalgebra/Lattice.lean,Mathlib/RingTheory/Adjoin/Polynomial/Basic.lean |
2 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
3-7309 3 days ago |
3-7336 3 days ago |
20-34605 20 days |
| 35683 |
gasparattila author:gasparattila |
fix(Tactic/FunProp): detect `Continuous.subtype_mk` as compositional |
This PR changes `fun_prop` to detect some theorems involving dependent types, such as `Continous.subtype_mk` to be in compositional form. This lets `fun_prop` solve goals such as `Continuous fun x => (⟨x, trivial⟩ : {x : ℝ // True})`.
---
These theorems become compositional: `Continuous.subtype_mk`, `Topology.IsEmbedding.inclusion`, `Topology.IsOpenEmbedding.inclusion`, `Topology.IsClosedEmbedding.inclusion`, `Measurable.subtype_mk`, `Measurable.imp`, `Path.symm_continuous_family`, `Continuous.upperHalfPlaneMk`
These theorems become simple: `hasFDerivAt_prodMk_left`, `hasFDerivAt_prodMk_right`, `contDiff_prodMk_left`, `contDiff_prodMk_right`
[](https://gitpod.io/from-referrer/)
|
t-meta |
57/31 |
Mathlib/Tactic/FunProp/Core.lean,Mathlib/Tactic/FunProp/FunctionData.lean,Mathlib/Tactic/FunProp/Theorems.lean,MathlibTest/fun_prop_dev.lean |
4 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
dwrensha assignee:dwrensha |
3-7222 3 days ago |
3-7249 3 days ago |
35-4576 35 days |
| 34138 |
pfaffelh author:pfaffelh |
feat(MeasureTheory): Introduce `MassFunction α` giving rise to a `Measure α ⊤` |
Define `MassFunction α := α → ℝ≥0∞`
Define `toMeasure (w : MassFunction α) : @Measure α ⊤` as a sum of diracs
Show properties of the resulting objects
This PR intends to start a more userfriendly interaction with probability mass functions (`PMF`). There are two main differences between `MassFunction` and `PMF`:
* `PMF` hast the additional property `HasSum 1`, making the resulting measure a probability measure. (For `MassFunction`, I intend to use the typeclass `IsProbabilityMeasure`in a later PR instead.)
* The `toMeasure` function of `MassFunction` directly defines the measure as a sum of diracs, which immediately makes computations possible.
Discussion thread on [zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/PMF.20Refactor.3A.20FunLike.20vs.20Definition.20Change)
- depends on: #37060
---
[](https://gitpod.io/from-referrer/)
|
t-measure-probability
new-contributor
|
252/1 |
Mathlib.lean,Mathlib/Algebra/Group/Indicator.lean,Mathlib/Algebra/GroupWithZero/Indicator.lean,Mathlib/Data/Set/Pairwise/Basic.lean,Mathlib/MeasureTheory/Measure/MassFunction.lean,Mathlib/Topology/Algebra/InfiniteSum/Basic.lean |
6 |
15 |
['DavidLedvinka', 'github-actions', 'metakunt', 'ocfnash', 'pfaffelh'] |
kex-y and ocfnash assignee:ocfnash assignee:kex-y |
3-6362 3 days ago |
7-6180 7 days ago |
70-9062 70 days |
| 36324 |
psinary-sketch author:psinary-sketch |
feat(NumberTheory/LSeries): Schwarz reflection for completedRiemannZeta₀ |
---
Three new theorems about `completedRiemannZeta₀`:
- `completedRiemannZeta₀_conj`: Schwarz reflection
`Λ₀(conj s) = conj(Λ₀(s))`
- `completedRiemannZeta₀_im_eq_zero_on_half`: the completed zeta
function is real-valued on the critical line
- `completedRiemannZeta₀_conj_eq_self_on_half`: equivalent fixed-point
formulation
The Schwarz reflection follows from the Mellin representation: the
kernel is real-valued, so the integral commutes with conjugation via
`integral_conj`. The critical-line results compose this with the
functional equation.
AI disclosure: Lean code developed with Claude (Anthropic) assistance in workflow. Mathematical content and proof strategies are original. All code verified locally with lake env lean before submission. |
t-number-theory
new-contributor
LLM-generated
|
147/0 |
Mathlib.lean,Mathlib/NumberTheory/LSeries/SchwarzReflection.lean |
2 |
13 |
['SnirBroshi', 'github-actions', 'psinary-sketch'] |
alexjbest assignee:alexjbest |
3-2879 3 days ago |
9-29733 9 days ago |
18-79709 18 days |
| 37291 |
IvanRenison author:IvanRenison |
refactor(Combinatorics/SimpleGraph): move `chromaticNumber_le_two_iff_isBipartite` and `chromaticNumber_eq_two_iff` to `Bipartite` file |
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
10/12 |
Mathlib/Combinatorics/SimpleGraph/Bipartite.lean,Mathlib/Combinatorics/SimpleGraph/ConcreteColorings.lean |
2 |
1 |
['github-actions'] |
nobody |
3-1937 3 days ago |
3-2024 3 days ago |
3-1790 3 days |
| 37045 |
edegeltje author:edegeltje |
feat(CategoryTheory/Limits): Pullback squares in cartesian monoidal categories |
This PR adds various lemmas about standard pullback squares in categories with chosen finite products.
---
[](https://gitpod.io/from-referrer/)
|
t-category-theory |
364/0 |
Mathlib.lean,Mathlib/CategoryTheory/Limits/Shapes/Pullback/IsPullback/CartesianMonoidal.lean,Mathlib/CategoryTheory/Monoidal/Cartesian/Basic.lean |
3 |
15 |
['dagurtomas', 'edegeltje', 'github-actions', 'robin-carlier'] |
joelriou assignee:joelriou |
3-1472 3 days ago |
3-3096 3 days ago |
6-28463 6 days |
| 36544 |
xroblot author:xroblot |
feat(RingTheory/Ideal): restriction maps on decomposition and inertia groups in a Galois tower |
Adds a new file `Mathlib/RingTheory/Ideal/Galois.lean` with results on the action of `Gal(L/K)` on ideals of a ring `B ⊆ L` for a Galois subextension `F/K` of `L/K`. The main results are the surjectivity and kernel descriptions of the natural maps from the decomposition (resp. inertia) group of `P` in `Gal(L/K)` to the decomposition (resp. inertia) group of `p` in `Gal(F/K)`, induced by restriction.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
213/0 |
Mathlib.lean,Mathlib/FieldTheory/Normal/Defs.lean,Mathlib/RingTheory/Ideal/Galois.lean |
3 |
8 |
['github-actions', 'riccardobrasca', 'tb65536', 'xroblot'] |
erdOne and riccardobrasca assignee:riccardobrasca assignee:erdOne |
3-1155 3 days ago |
18-21116 18 days ago |
18-20882 18 days |
| 36937 |
Yaohua-Leo author:Yaohua-Leo |
feat(Algebra/Jordan): add first linearization lemmas for IsCommJordan |
[](https://gitpod.io/from-referrer/)
AI assistance disclosure: I used AI assistance for CI/debugging and module-structure fixes in this PR. The mathematical content and main lemmas were written by me, with help from @pelicanhere.
This PR adds a new file `Mathlib/Algebra/Jordan/Linearization.lean` containing linearization lemmas for the commutative Jordan identity.
Main declarations:
* `IsCommJordan.four_nsmul_associator_mul_add`
* `IsCommJordan.associator_mul_add`
These lemmas formalize a first linearization of the commutative Jordan identity using `associator`, following McCrimmon, Proposition 1.8.5.
---
I put these lemmas in a separate file because I expect follow-up linearization lemmas to belong naturally in the same place.
I am also happy to rename declarations or move the file if reviewers would prefer. |
t-algebra
new-contributor
label:t-algebra$ |
60/0 |
Mathlib.lean,Mathlib/Algebra/Jordan/Linearization.lean |
2 |
4 |
['Yaohua-Leo', 'github-actions', 'grunweg'] |
dagurtomas assignee:dagurtomas |
2-86327 2 days ago |
9-55026 9 days ago |
9-55420 9 days |
| 37191 |
artie2000 author:artie2000 |
chore(Geometry/Convex/Cone/Pointed): clean up variables |
* Remove variable overwrites by changing `variable` declarations and renaming variables
* Rename variables to maintain rough type-consistency within the file
* Reorganise sections in order of increasing typeclass strength
* Bring explicit/implicit variables in line with convention
This PR doesn't change any declarations beyond changing variable explicitness.
---
[](https://gitpod.io/from-referrer/)
|
t-convex-geometry |
134/114 |
Mathlib/Geometry/Convex/Cone/Pointed.lean |
1 |
4 |
['artie2000', 'github-actions', 'martinwintermath', 'mathlib-merge-conflicts'] |
nobody |
2-83642 2 days ago |
2-83665 2 days ago |
4-3835 4 days |
| 37053 |
artie2000 author:artie2000 |
refactor(Analysis/Convex/Cone): use `PointedCone` in Riesz extension theorem |
Change the statement of the Riesz extension theorem to take a `PointedCone` rather than a `ConvexCone`.
---
[](https://gitpod.io/from-referrer/)
|
t-convex-geometry
maintainer-merge
|
15/12 |
Mathlib/Analysis/Convex/Cone/Extension.lean,Mathlib/Geometry/Convex/Cone/Pointed.lean |
2 |
3 |
['YaelDillies', 'github-actions'] |
nobody |
2-83553 2 days ago |
4-74770 4 days ago |
5-48180 5 days |
| 35398 |
vlad902 author:vlad902 |
feat(SimpleGraph): `bypass` lemmas |
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
17/0 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean |
1 |
1 |
['github-actions'] |
nobody |
2-81593 2 days ago |
42-41894 42 days ago |
42-41660 42 days |
| 26735 |
Raph-DG author:Raph-DG |
feat(AlgebraicGeometry): The codimension of a point of a scheme is equal to the krull dimension of the stalk |
In this PR we show that the codimension of a point in a scheme is equal to the krull dimension of the local ring at that point, as in stacks 02IZ.
---
The proof of the main result `stalk_dim_eq_coheight` is currently a bit long for my (and I suspect the broader community's) tastes. That said, I'm not quite sure the best way to break it into pieces, any comments would be very much appreciated!
- [x] depends on: #26204 [For the notion of codimension, here we are using the coheight in the specialization order. ]
- [x] depends on: #26225
[](https://gitpod.io/from-referrer/)
|
t-algebraic-geometry |
148/0 |
Mathlib/AlgebraicGeometry/Properties.lean,Mathlib/AlgebraicGeometry/Scheme.lean,Mathlib/Order/KrullDimension.lean,Mathlib/Topology/Continuous.lean,Mathlib/Topology/KrullDimension.lean,Mathlib/Topology/Sets/Closeds.lean |
6 |
62 |
['Raph-DG', 'chrisflav', 'erdOne', 'github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'tb65536'] |
dagurtomas and erdOne assignee:dagurtomas assignee:erdOne |
2-81585 2 days ago |
5-26545 5 days ago |
51-213 51 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.
---
- [ ] depends on: #31891
- [ ] depends on: #32296
[](https://gitpod.io/from-referrer/)
|
t-euclidean-geometry |
159/0 |
Mathlib.lean,Mathlib/Geometry/Euclidean/Sphere/PolePolar.lean |
2 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
JovanGerb assignee:JovanGerb |
2-81583 2 days ago |
3-19135 3 days ago |
3-19661 3 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
---
- [ ] depends on: #30981
- [ ] depends on: #30982
- [ ] depends on: #32019
- [ ] depends on: #32021
- [ ] depends on: #32023
- [ ] depends on: #32270
- [ ] depends on: #32290
[](https://gitpod.io/from-referrer/)
|
t-euclidean-geometry |
189/0 |
Mathlib/Geometry/Euclidean/Angle/Incenter.lean |
1 |
5 |
['github-actions', 'jsm28', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'peakpoint'] |
JovanGerb assignee:JovanGerb |
2-81582 2 days ago |
3-19149 3 days ago |
3-19705 3 days |
| 32807 |
WilliamCoram author:WilliamCoram |
feat: Define the Gauss norm for MvPowerSeries |
We adjust the current definition for Gauss norm on power series to work for multivariate power series.
If this seems acceptable I can refactor the single variable case.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
|
124/0 |
Mathlib.lean,Mathlib/RingTheory/MvPowerSeries/GaussNorm.lean |
2 |
25 |
['WilliamCoram', 'erdOne', 'fbarroero', 'github-actions', 'mathlib4-merge-conflict-bot', 'vihdzp'] |
erdOne and jcommelin assignee:jcommelin assignee:erdOne |
2-81582 2 days ago |
45-35506 45 days ago |
58-43134 58 days |
| 33392 |
AntoineChambert-Loir author:AntoineChambert-Loir |
feat(LinearAlgebra/Transvection/Generation): non-exceptional case in Dieudonné's theorem |
We prove the theorem of [Dieudonné-1955][J. Dieudonné, “Sur les générateurs
des groupes classiques”].
Let `K` be a division ring and `V` be a `K`-module.
* `LinearEquiv.mem_transvections_pow_mul_dilatransvections_of_fixedReduce_eq_one`:
If `e.fixedReduce = 1`, then `e` can be written as the product
of `finrank K (V ⧸ e.fixedSubmodule) - 1` transvections
and one dilatransvection.
This is the first part of the non-exceptional case in Dieudonné's theorem.
(This statement is not interesting when `e = 1`.)
* `LinearEquiv.mem_transvections_pow_mul_dilatransvections_of_fixedReduce_ne_smul_id`:
If `e.fixedReduce` is not a homothety, then `e` can be written as the product
of `finrank K (V ⧸ e.fixedSubmodule) - 1` transvections and one dilatransvection.
This is the second part of the non-exceptional case in Dieudonné's theorem.
* `LinearEquiv.IsExceptional`:
A linear equivalence `e : V ≃ₗ[K] V` is exceptional if `1 < finrank K (V ⧸ e.fixedSubmodule)`
and if `e.fixedReduce` is a nontrivial homothety.
* `LinearEquiv.mem_dilatransvections_pow_of_notIsExceptional`:
This is the non-exceptional case in Dieudonné's theorem,
as a combination of the two preceding statements.
---
- [x] depends on: #33348
- [x] depends on: #33282
- [x] depends on: #33347
- [ ] depends on: #33387
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
574/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Center.lean,Mathlib/LinearAlgebra/FiniteDimensional/Lemmas.lean,Mathlib/LinearAlgebra/LinearIndependent/Lemmas.lean,Mathlib/LinearAlgebra/Transvection/Basic.lean,Mathlib/LinearAlgebra/Transvection/Generation.lean |
6 |
9 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
dagurtomas assignee:dagurtomas |
2-81581 2 days ago |
3-54415 3 days ago |
3-65599 3 days |
| 34909 |
SnirBroshi author:SnirBroshi |
feat(Data/Sym/Sym2): `fromRel` equivalence with `Sigma` over a `Quotient` |
Add a non-dependent recursor on members of a `fromRel` set, and the following `Equiv`s:
- The `fromRel` set of a symmetric relation `r` is equivalent to summing that set restricted to fibers of `f`.
- For a relation homomorphism `r →r r'` where `r` is symmetric, the `fromRel` set of `r` is equivalent to summing that set restricted to equivalence classes of `r'` using a `Subtype`.
---
I find this recursor pretty useful when dealing with `fromRel`, the idea came from a suggestion by @kmill [on Zulip](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Eq.2Erec.20with.20a.20constant.20does.20nothing.3A.20h.20.E2.96.B8.20c.20.3D.20c/near/565176948) for another `Sym2` conundrum.
[](https://gitpod.io/from-referrer/)
|
t-data |
43/0 |
Mathlib/Data/Sym/Sym2.lean |
1 |
8 |
['SnirBroshi', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts'] |
TwoFX and pechersky assignee:TwoFX assignee:pechersky |
2-81580 2 days ago |
9-86176 9 days ago |
52-45634 52 days |
| 35707 |
BryceT233 author:BryceT233 |
feat(RingTheory/MvPowerSeries): introduce `truncTotal` |
This PR introduces the total degree truncation of multivariate formal power series when the index is finite, and uses it to establish the algebraic equivalence between `MvPowerSeries` and the adic completion of `MvPolynomial` with respect to the ideal spanned by all variables `idealOfVars`.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-ring-theory
|
213/2 |
Mathlib.lean,Mathlib/Data/Finsupp/Weight.lean,Mathlib/RingTheory/MvPowerSeries/Equiv.lean,Mathlib/RingTheory/MvPowerSeries/Trunc.lean |
4 |
7 |
['BryceT233', 'github-actions', 'joneugster', 'mathlib-bors', 'wwylele'] |
erdOne, jcommelin, riccardobrasca assignee:jcommelin assignee:riccardobrasca assignee:erdOne |
2-81578 2 days ago |
25-75373 25 days ago |
34-58030 34 days |
| 36494 |
MichaelStollBayreuth author:MichaelStollBayreuth |
feat(GroupTheory/IndexNSmul): new file |
This PR adds a new file (to be able to have the required imports) that contains some results related to the (relative) index of subgroups in commutative additive groups and the multiplication-by-`n` map.
They will be useful in proving the Northcott property for heights on number fields.
---
- [x] depends on: #36458 [some API lemmas for powMonoidHom]
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
100/0 |
Mathlib.lean,Mathlib/GroupTheory/IndexNSmul.lean |
2 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
dagurtomas assignee:dagurtomas |
2-81573 2 days ago |
4-16715 4 days ago |
4-18827 4 days |
| 36966 |
oliver-butterley author:oliver-butterley |
chore: Superfluous line using clearExcept removed from get_map₂. |
Superfluous line using `clearExcept` removed from `get_map₂`.
---
[](https://gitpod.io/from-referrer/)
|
t-data |
0/1 |
Mathlib/Data/Vector/Basic.lean |
1 |
1 |
['github-actions'] |
Vierkantor assignee:Vierkantor |
2-81572 2 days ago |
8-57401 8 days ago |
8-57167 8 days |
| 37056 |
lecopivo author:lecopivo |
feat(Tactic/FunProp): proper support for metavariables in fun_prop goals |
This PR add proper support for metavariables in `fun_prop` goals thus allows for properly solving goals like `HasFDerivAt k f ?f' x`.
---
This extension to `fun_prop` will enable computation of derivatives by properly handling metavariables in `fun_prop` goal thus allowing us to solve `HasFDerivAt k f ?f' x`
[](https://gitpod.io/from-referrer/)
|
t-meta
large-import
|
1219/220 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/FunProp/Attr.lean,Mathlib/Tactic/FunProp/Core.lean,Mathlib/Tactic/FunProp/Decl.lean,Mathlib/Tactic/FunProp/Elab.lean,Mathlib/Tactic/FunProp/Simproc.lean,Mathlib/Tactic/FunProp/Theorems.lean,Mathlib/Tactic/FunProp/Types.lean,Mathlib/Tactic/Measurability.lean,MathlibTest/fun_prop_dev.lean,MathlibTest/fun_prop_dev_out_param.lean |
12 |
9 |
['eric-wieser', 'github-actions', 'lecopivo', 'mathlib-merge-conflicts'] |
alexjbest assignee:alexjbest |
2-81569 2 days ago |
4-37079 4 days ago |
4-38207 4 days |
| 37078 |
vihdzp author:vihdzp |
chore(LinearAlgebra/ExteriorPower/Basis): avoid use of IsWellFounded.wellOrderExtension |
This file formerly used `IsWellFounded.wellOrderExtension` on an empty relation to create a linear order extending it, i.e. an arbitrary linear order. But we can accomplish this directly via the well-ordering principle.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
easy
label:t-algebra$ |
4/4 |
Mathlib/LinearAlgebra/ExteriorPower/Basis.lean |
1 |
1 |
['github-actions'] |
dagurtomas assignee:dagurtomas |
2-81568 2 days ago |
6-55351 6 days ago |
6-55117 6 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]`.
---
[](https://gitpod.io/from-referrer/)
|
LLM-generated
t-meta
t-category-theory
|
212/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/CategoryTheory/Map.lean,MathlibTest/CategoryTheory/Map.lean |
4 |
5 |
['adamtopaz', 'dagurtomas', 'github-actions', 'joelriou'] |
adamtopaz assignee:adamtopaz |
2-81567 2 days ago |
4-65872 4 days ago |
4-65986 4 days |
| 37251 |
plp127 author:plp127 |
fix(Tactic/DepRewrite): `conv` mode |
Add tests for `rewrite!` and `rw!` in `conv` mode. Fix a bug where `rw!` always produces type-incorrect terms when rewriting the goal in `conv` mode. Remove support for `rw! [...] at h` in `conv` mode, for consistency with `rw`, which does not have this feature, and because it's usually not what you want to do anyways.
---
[](https://gitpod.io/from-referrer/)
|
t-meta |
46/15 |
Mathlib/Tactic/DepRewrite.lean,MathlibTest/depRewrite.lean |
2 |
1 |
['Vtec234', 'github-actions'] |
dwrensha assignee:dwrensha |
2-81564 2 days ago |
3-85268 3 days ago |
3-85034 3 days |
| 37252 |
artie2000 author:artie2000 |
feat(Algebra/Group/Submonoid/Support): properties of submonoid support |
* Prove how the support of a submonoid interacts with various operations
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
50/1 |
Mathlib/Algebra/Group/Submonoid/Support.lean |
1 |
1 |
['github-actions'] |
dagurtomas assignee:dagurtomas |
2-81563 2 days ago |
3-81698 3 days ago |
3-81464 3 days |
| 35043 |
winstonyin author:winstonyin |
refactor(Analysis/ODE): restate existence and uniqueness using integral curve API |
* Create `Mathlib/Analysis/ODE/ExistUnique.lean` to collect existence and uniqueness results for ODEs stated in terms of the integral curve API (`IsIntegralCurve`, `IsIntegralCurveOn`, `IsIntegralCurveAt`).
* Move and restate the Picard-Lindelöf existence theorems from `PicardLindelof.lean` and the $C^1$ vector field results using `IsIntegralCurveOn`/`IsIntegralCurveAt` instead of raw `HasDerivWithinAt`/`HasDerivAt`.
* Move and restate the Grönwall-based uniqueness theorems from `Gronwall.lean` using `IsIntegralCurveOn` with half-open intervals (`Ico`/`Ioc`) instead of `HasDerivWithinAt … (Ici t)`/`HasDerivWithinAt … (Iic t)`.
* Rename uniqueness theorems to use dot notation on the integral curve types (e.g. `ODE_solution_unique_of_mem_Icc_right` becomes `IsIntegralCurveOn.eqOn_Icc_right`).
* Add `IsIntegralCurveOn.eqOn_inter`: if two integral curves on preconnected sets `I` and `J` agree at a point in both sets, they agree on `I ∩ J`.
* Add deprecation aliases for all renamed lemmas.
- [ ] depends on: #29186
---
[](https://gitpod.io/from-referrer/)
|
|
421/313 |
Mathlib.lean,Mathlib/Analysis/ODE/ExistUnique.lean,Mathlib/Analysis/ODE/Gronwall.lean,Mathlib/Analysis/ODE/PicardLindelof.lean,Mathlib/Geometry/Manifold/IntegralCurve/ExistUnique.lean,docs/1000.yaml,docs/undergrad.yaml |
7 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
2-81122 2 days ago |
2-81195 2 days ago |
2-81429 2 days |
| 37293 |
peabrainiac author:peabrainiac |
feat(Order/Partition): finite meets of partitions of frames |
For any frame `α`, `Partition α` has finite meets: the meet of two partitions `P`, `Q` can be constructed as the partition consisting of all meets `p ⊓ q` with `p ∈ P`, `q ∈ Q` and `p ⊓ q ≠ ⊥`.
Note that even for frames `Partition α` does not have arbitrary meets: for example, there is no finest partition on the frame of open subsets of the Cantor space. We thus have to construct the remaining operations by hand instead of e.g. just transporting a `CompleteLattice` instance along some Galois connection.
---
[](https://gitpod.io/from-referrer/)
|
t-order |
44/2 |
Mathlib/Order/Partition/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
2-76763 2 days ago |
2-86334 2 days ago |
2-86100 2 days |
| 36386 |
SnkXyx author:SnkXyx |
feat(Algebra/MvPolynomial/Degrees): add some lemmas about `degreeOf` |
These lemmas are used in #36103
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
79/0 |
Mathlib/Algebra/MvPolynomial/Degrees.lean |
1 |
12 |
['Hagb', 'SnkXyx', 'dagurtomas', 'github-actions', 'mathlib-merge-conflicts'] |
dagurtomas assignee:dagurtomas |
2-75834 2 days ago |
2-75834 2 days ago |
20-38240 20 days |
| 37229 |
b-mehta author:b-mehta |
feat(Algebra/Free): relate the free semigroup and the free monoid |
The name is picked to mimic `FreeMagma.toFreeSemigroup`.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
100/3 |
Mathlib.lean,Mathlib/Algebra/Free.lean,Mathlib/Algebra/FreeMonoid/FreeSemigroup.lean |
3 |
1 |
['github-actions'] |
dagurtomas assignee:dagurtomas |
2-74300 2 days ago |
4-22336 4 days ago |
4-22613 4 days |
| 37301 |
Thmoas-Guan author:Thmoas-Guan |
chore(RingTheory/Smooth): remove fg condition for `Algebra.FormallySmooth.of_algebraicIndependent_of_isSeparable` |
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
3/5 |
Mathlib/RingTheory/Smooth/Field.lean |
1 |
1 |
['github-actions'] |
nobody |
2-71418 2 days ago |
2-73755 2 days ago |
2-73521 2 days |
| 36849 |
mike1729 author:mike1729 |
feat(Analysis/Normed/Module/SchauderBasis): basic sequences and Grünblum criterium |
This PR introduces the theory of basic sequences in Banach spaces, following Albiac–Kalton. Defines basic sequences in normed spaces, and prove the classical Grünblum criterium for recognizing them.
New definitions (in BasicSequence.lean)
- `BasicSequence`: a bundled ℕ-indexed sequence forming a Schauder basis for its algebraic span, with finite projection bound.
- `SatisfiesGrunblumCondition`: partial sums over initial segments are bounded by a constant times the full sum.
Main results
- `SatisfiesGrunblumCondition.basicSequence`: a nonzero sequence satisfying the Grünblum condition is a basic sequence.
- `SatisfiesGrunblumCondition.linearIndependent`: nonzero sequences satisfying that condition are linearly independent.
---
- [x] follow up to : #34209
- [ ] blocks : #35473
The next planned PRs:
- general selection principle for basic sequences
- characterization when a set contains a basic sequence in terms of weak closure and compactness
- Eberlein–Šmulian theorem
- weakly compact subsets of a Banach space are Fréchet–Urysohn spaces
[](https://gitpod.io/from-referrer/) |
file-removed
t-analysis
new-contributor
|
253/1 |
Mathlib.lean,Mathlib/Analysis/Normed/Module/SchauderBasis/Basic.lean,Mathlib/Analysis/Normed/Module/SchauderBasis/BasicSequence.lean |
3 |
2 |
['github-actions'] |
sgouezel assignee:sgouezel |
2-58573 2 days ago |
3-8454 3 days ago |
11-44362 11 days |
| 34871 |
zhuyizheng author:zhuyizheng |
feat(Calculus): Taylor with integral remainder |
This PR proves Taylor's theorem with the integral remainder. It provides two versions:
1. based on $f^{(n)}$ is absolutely continuous
2. based on $f \in C^{(n+1)}$
It also weakens the hypotheses `(hx : x₀ < x)` to `(hx : x₀ ≠ x)` in the following theorems:
- `taylor_mean_remainder`
- `taylor_mean_remainder_lagrange`
- `taylor_mean_remainder_lagrange_iteratedDeriv`
- `taylor_mean_remainder_cauchy`
---
[](https://gitpod.io/from-referrer/)
|
large-import
t-analysis
|
216/71 |
Mathlib/Analysis/Calculus/ContDiff/Deriv.lean,Mathlib/Analysis/Calculus/IteratedDeriv/Defs.lean,Mathlib/Analysis/Calculus/Taylor.lean,Mathlib/MeasureTheory/Function/AbsolutelyContinuous.lean,Mathlib/Probability/Moments/MGFAnalytic.lean,Mathlib/Topology/Algebra/InfiniteSum/TsumUniformlyOn.lean,docs/undergrad.yaml |
7 |
22 |
['Komyyy', 'b-mehta', 'github-actions', 'j-loreaux', 'joneugster', 'mathlib-merge-conflicts', 'sgouezel', 'zhuyizheng'] |
j-loreaux assignee:j-loreaux |
2-50901 2 days ago |
4-72493 4 days ago |
37-11591 37 days |
| 36950 |
ajirving author:ajirving |
feat(Analysis/Complex): prove Jensen's inequality for the number of zeros |
Proves Jensen's inequality for the number of zeros of a complex analytic function in a ball. This is an application of Jensen's formula. We also add a specialization of Jensen's formula for analytic (rather than meromorphic) functions and a version of divisor apply also for analytic functions.
---
[](https://gitpod.io/from-referrer/)
|
t-analysis |
83/0 |
Mathlib/Analysis/Complex/JensenFormula.lean,Mathlib/Analysis/Meromorphic/Divisor.lean |
2 |
14 |
['ajirving', 'github-actions', 'j-loreaux'] |
j-loreaux assignee:j-loreaux |
2-49854 2 days ago |
3-19162 3 days ago |
6-47068 6 days |
| 36555 |
joelriou author:joelriou |
feat(Algebra/Homology/SpectralObject): the spectral sequence |
This PR constructs the spectral sequence attached to a spectral object in an abelian category.
---
- [x] depends on: #36182
- [x] depends on: #36550
[](https://gitpod.io/from-referrer/)
|
t-category-theory
t-algebra
label:t-algebra$ |
380/8 |
Mathlib/Algebra/Homology/SpectralObject/SpectralSequence.lean |
1 |
34 |
['github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'robin-carlier', 'smorel394'] |
dagurtomas and erdOne assignee:dagurtomas assignee:erdOne |
2-45538 2 days ago |
2-45602 2 days ago |
8-26274 8 days |
| 37214 |
Kha author:Kha |
perf(Tactic/Abel): use `mkAuxTheorem` for proof term |
Removes some duplication from types of nested proofs |
t-meta |
4/1 |
Mathlib/Tactic/Abel.lean |
1 |
5 |
['JovanGerb', 'Kha', 'github-actions', 'leanprover-radar'] |
thorimur assignee:thorimur |
2-44704 2 days ago |
4-30075 4 days ago |
4-29841 4 days |
| 37311 |
CoolRmal author:CoolRmal |
feat: lemmas about liminf multiplied by a constant |
Add some analogues of [ENNReal.limsup_const_mul_of_ne_top](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Order/Filter/ENNReal.html#ENNReal.limsup_const_mul_of_ne_top) for liminf.
---
[](https://gitpod.io/from-referrer/)
|
t-order |
34/5 |
Mathlib/Order/Filter/ENNReal.lean |
1 |
1 |
['github-actions'] |
nobody |
2-41418 2 days ago |
2-41374 2 days ago |
2-41482 2 days |
| 37312 |
CoolRmal author:CoolRmal |
feat(MeasureTheory): Outer regular measures are determined by values on bounded open sets |
We proved that
- Every open set in a metric space is a countable union of bounded open sets.
- Outer regular measures are determined by values on bounded open sets.
---
[](https://gitpod.io/from-referrer/)
|
|
20/0 |
Mathlib/MeasureTheory/Measure/Regular.lean,Mathlib/Topology/MetricSpace/Bounded.lean |
2 |
1 |
['github-actions'] |
nobody |
2-41053 2 days ago |
2-41124 2 days ago |
2-40890 2 days |
| 31242 |
plp127 author:plp127 |
feat: express filter as supremum of principal filter and free filter |
Prove a filter is free iff it is smaller than the cofinite filter. Prove that every filter decomposes as the disjoint supremum of a principal filter and a free filter.
---
- [x] depends on: #31264
[](https://gitpod.io/from-referrer/)
|
t-order |
78/4 |
Mathlib/Order/Filter/Basic.lean,Mathlib/Order/Filter/Cofinite.lean,Mathlib/Order/Heyting/Boundary.lean,Mathlib/Order/Lattice.lean |
4 |
8 |
['github-actions', 'jcommelin', 'kckennylau', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'plp127'] |
bryangingechen assignee:bryangingechen |
2-26967 2 days ago |
2-26985 2 days ago |
26-49598 26 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. |
t-topology
new-contributor
LLM-generated
|
269/0 |
Mathlib.lean,Mathlib/Topology/Algebra/Order/Floor.lean,Mathlib/Topology/Algebra/Order/PiecewiseLinear.lean |
3 |
8 |
['Vilin97', 'copilot-pull-request-reviewer', 'dagurtomas', 'github-actions', 'wwylele'] |
PatrickMassot assignee:PatrickMassot |
2-26075 2 days ago |
3-26941 3 days ago |
11-56788 11 days |
| 36743 |
Jun2M author:Jun2M |
feat(Combinatorics/GraphLike): introduce `GraphLike` typeclass |
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.
This PR generalises #35776 to also unify `Graph`.
### Main definitions
* `GraphLike α β Gr`: A typeclass parameterized by a vertex type `α`, dart type `β` and a graph type `Gr` (with `α` as an `outParam`).
* `GraphLike.verts : Set α`: The set of vertices of the graph.
* `GraphLike.darts : Set β`: The set of darts of the graph.
* `GraphLike.Adj : α → α → Prop`: The adjacency relation, defined by default as `Nonempty (darts G u v)`.
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
281/0 |
Mathlib.lean,Mathlib/Combinatorics/Digraph/GraphLike.lean,Mathlib/Combinatorics/GraphLike/Basic.lean,Mathlib/Combinatorics/SimpleGraph/GraphLike.lean |
4 |
41 |
['IvanRenison', 'Jun2M', 'SnirBroshi', 'github-actions', 'lauramonk', 'mathlib-merge-conflicts'] |
nobody |
2-18442 2 days ago |
9-3821 9 days ago |
13-59813 13 days |
| 36887 |
chenson2018 author:chenson2018 |
fix: `multiGoal` linter within interactive `grind` |
Currently the `multiGoal` linter will incorrectly trigger for `grind` interactive mode, as this uses its own syntax for `cases`, `·`, `next`, etc. that are registered as exceptions for the equivalent ordinary tactics. This PR fixes this behavior and adds a series of corresponding tests.
---
[](https://gitpod.io/from-referrer/)
|
t-linter
maintainer-merge
|
120/0 |
Mathlib/Tactic/Linter/Multigoal.lean,MathlibTest/Multigoal.lean |
2 |
6 |
['adomani', 'chenson2018', 'github-actions', 'joneugster', 'leanprover-radar'] |
joneugster assignee:joneugster |
2-18045 2 days ago |
10-65667 10 days ago |
10-65433 10 days |
| 37304 |
vihdzp author:vihdzp |
feat: if `s ∪ t` is directed then one of `s` or `t` is |
---
I have no idea how to name these, suggestions encouraged.
[](https://gitpod.io/from-referrer/)
|
t-order |
22/0 |
Mathlib/Order/Directed.lean |
1 |
3 |
['b-mehta', 'github-actions', 'plp127'] |
nobody |
2-9047 2 days ago |
2-59343 2 days ago |
2-59109 2 days |
| 36083 |
gasparattila author:gasparattila |
feat: decomposition of `ContinuousAffineMap` as an `Equiv` |
This PR defines an equivalence `(V →ᴬ[R] Q) ≃ Q × (V →L[R] W)`, plus `LinearEquiv` and `AffineEquiv` variants. To match the names of the new equivalences, `ContinuousAffineMap.toConstProdLinearMap` is also renamed.
---
[](https://gitpod.io/from-referrer/)
|
|
154/13 |
Mathlib/Analysis/Normed/Affine/ContinuousAffineMap.lean,Mathlib/Topology/Algebra/ContinuousAffineMap.lean |
2 |
5 |
['dupuisf', 'gasparattila', 'github-actions'] |
nobody |
1-81594 1 day ago |
27-910 27 days ago |
27-2629 27 days |
| 34599 |
cameronfreer author:cameronfreer |
feat(Logic/Equiv/Fintype): generalize toCompl and exists_extending_pair to finite source |
Generalize the Equiv subtype-extension API so it only needs finiteness of
the source subtype, then use that to drastically simplify
`Equiv.Perm.isMultiplyPretransitive`.
### Changes to `Logic/Equiv/Fintype.lean`
* **`Equiv.toCompl`**: generalize from `[Finite α]` to `[Finite {x | p x}]`.
New proof (due to tb65536) uses finset symmetric differences to avoid
needing finiteness of the ambient type.
* **`Equiv.extendSubtype`** and related lemmas: adapt to `[Finite {x | p x}]`.
* **`Equiv.Perm.exists_extending_pair`**: strengthen from `[Finite β]` to
`[Finite α]`. Given two injective functions `f, g : α → β` where `α` is
finite, there exists `σ : Perm β` with `σ ∘ f = g`. The target `β` can
now be infinite.
### Changes to `MultipleTransitivity.lean`
* **`Equiv.Perm.isMultiplyPretransitive`**: replace ~70-line manual
bijectivity construction with a two-line proof via
`exists_smul_eq_embedding`.
* **`exists_smul_eq_embedding`**: rewire to use `exists_extending_pair`
directly (removing the old cardinal-arithmetic proof
`exists_extending_pair_of_finite_source`).
### Application
Used in formalizing de Finetti's theorem (exchangeability ⇒ contractability):
https://github.com/cameronfreer/exchangeability/blob/03a854a2/Exchangeability/Contractability.lean#L459
Co-authored-by: tb65536 |
t-group-theory
new-contributor
|
51/79 |
Mathlib/GroupTheory/GroupAction/MultipleTransitivity.lean,Mathlib/Logic/Equiv/Fintype.lean |
2 |
26 |
['LLaurance', 'cameronfreer', 'github-actions', 'mathlib-merge-conflicts', 'tb65536'] |
nobody |
1-81593 1 day ago |
23-13572 23 days ago |
44-34312 44 days |
| 36385 |
CoolRmal author:CoolRmal |
feat: a sequential and countably compact space is sequentially compact |
The main result proved in this PR is that a sequential and countably compact space is sequentially compact. We also prove some lemmas:
1. If `f` is an embedding, then `A` is sequentially compact iff `f '' A` is sequentially compact. This result is then used to show the equivalence of `IsSeqCompact A` and `SeqCompactSpace A`.
2. If `f` is inducing, then `A` is countably compact iff `f '' A` is countably compact. This result is then used to show the equivalence of `IsCountablyCompact A` and `CountablyCompactSpace A`.
3. If `f` converges and `g` is another function such that `g x ∈ closure {f x}` for all `x`, then `g` also converges.
---
- [x] depends on: #36174
[](https://gitpod.io/from-referrer/)
|
t-topology |
137/13 |
Mathlib/Topology/Compactness/CountablyCompact.lean,Mathlib/Topology/Inseparable.lean,docs/references.bib |
3 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
PatrickMassot assignee:PatrickMassot |
1-81356 1 day ago |
2-35850 2 days ago |
2-44465 2 days |
| 36797 |
vihdzp author:vihdzp |
feat: more results on additive principal ordinals |
We prove some new results on additive principal ordinals, and use them to golf existing results.
Moved from #15989.
---
- [x] depends on: #36793
[](https://gitpod.io/from-referrer/)
|
t-set-theory |
38/33 |
Mathlib/SetTheory/Ordinal/Notation.lean,Mathlib/SetTheory/Ordinal/Principal.lean |
2 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
alreadydone assignee:alreadydone |
1-81354 1 day ago |
3-55162 3 days ago |
10-32206 10 days |
| 37047 |
gasparattila author:gasparattila |
chore(Data/Finset/Lattice/Fold): use `to_dual` |
This PR uses the `@[to_dual]` attribute to generate dual lemmas about `Finset.sup`. The lemmas about `sdiff` and `himp` are skipped, as `HeytingAlgebra` is not yet tagged with `@[to_dual]`.
To improve the consistency between dual lemmas, several changes are made:
- tag `inf_insert` with `@[grind =]`
- rename `le_inf_const_le` to `le_inf_const`
- tag `inf_union` with `@[grind _=_]`
- tag `inf_mono_fun` with `@[grind ←]`
- tag `inf_mono` with `@[grind ←]`
- tag `inf_attach` with `@[simp]`
- add `le_inf_of_directed_le`
- add `inf_eq_top_of_isEmpty`
- add `inf_mem_of_nonempty`
- add `inf'_mono_fun`
- rename `comp_sup_eq_sup_comp_of_nonempty` to `apply_sup_eq_sup_comp_of_nonempty` and add `apply_inf_eq_inf_comp_of_nonempty`
---
[](https://gitpod.io/from-referrer/)
|
t-data |
126/477 |
Mathlib/Algebra/MvPolynomial/Degrees.lean,Mathlib/Algebra/Order/BigOperators/Group/LocallyFinite.lean,Mathlib/Data/Finset/Defs.lean,Mathlib/Data/Finset/Lattice/Fold.lean |
4 |
14 |
['JovanGerb', 'gasparattila', 'github-actions', 'mathlib-merge-conflicts'] |
joneugster assignee:joneugster |
1-81352 1 day ago |
3-7460 3 days ago |
7-18938 7 days |
| 37084 |
SnirBroshi author:SnirBroshi |
feat(Order/PropInstances): relations and `Subsingleton` |
`r = ⊤ ↔ Refl r` and `r = ⊥ ↔ Irrefl r` given `Subsingleton`
---
[](https://gitpod.io/from-referrer/)
|
t-order |
7/1 |
Mathlib/Order/PropInstances.lean |
1 |
1 |
['github-actions'] |
bryangingechen assignee:bryangingechen |
1-81351 1 day ago |
6-51622 6 days ago |
6-51388 6 days |
| 37086 |
tb65536 author:tb65536 |
chore(GroupTheory/Sylow): remove explicit type ascriptions `(P : Subgroup G)` |
PR #36852 generalized `normalizer` to subsets of `G` (like we do for centralizer), but introduced a few explicit type ascriptions `(P : Subgroup)` into `Sylow.lean` (to force the coercion to `Set` to go through `Subgroup`). This PR removes those.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
t-group-theory
label:t-algebra$ |
61/44 |
Mathlib/Algebra/Group/Subgroup/Defs.lean,Mathlib/GroupTheory/SpecificGroups/ZGroup.lean,Mathlib/GroupTheory/Sylow.lean,Mathlib/GroupTheory/Transfer.lean |
4 |
1 |
['github-actions'] |
riccardobrasca assignee:riccardobrasca |
1-81350 1 day ago |
6-41373 6 days ago |
6-41140 6 days |
| 37263 |
joelriou author:joelriou |
feat(CategoryTheory/Monoidal): use `to_additive` for group objects |
---
[](https://gitpod.io/from-referrer/)
|
t-category-theory |
193/77 |
Mathlib/CategoryTheory/Monoidal/Grp_.lean |
1 |
1 |
['github-actions'] |
robin-carlier assignee:robin-carlier |
1-81349 1 day ago |
2-11771 2 days ago |
2-11769 2 days |
| 37295 |
wwylele author:wwylele |
feat(Analysis/InnerProductSpace): generalized determinant of a rectangle matrix / linear map |
This is the volume factor of a linear map
---
I have encountered the expression `sqrt(det(T' * T))` a few times in various places but it doesn't look like it has a standard name and entry in mathlib, so this adds it.
Zulip thread [#Is there code for X? > (norm of) "determinant" of map between inner product spaces](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/.28norm.20of.29.20.22determinant.22.20of.20map.20between.20inner.20product.20spaces/with/581776873)
One motivation to define this is to state volume formula under transformations. From *Measure theory and fine properties of functions*:
- Lemma 3.1: for linear map $L : \mathbb{R}^n \to \mathbb{R}^m$, we have $\mathcal{H}^n(L(A)) = [ L ] \mathcal{L}^n(A)$, or in Lean, `μHE[n] (L '' A) = L.normDet * volume A`
- Theorem 3.8, for (not necessarily linear) $f : \mathbb{R}^n \to \mathbb{R}^m$ ($n \le m$) and $\mathcal{L}^n$-measurable set $A \subset \mathbb{R}^n$, we have $\int_A J f dx = \int_{\mathbb{R}^m} \mathcal{H}^0(A \cap f\^{-1}\{y\}) d\mathcal{H}^n(y)$, where $J f$ is the `normDet` of the rectangular Jacobian matrix
AI usage disclosure: AI was used in the following parts
- searching for related literature for an appropriate name
- generate draft proofs for some lemma to verify their correctness, though the final code has been completely rewritten by me.
[](https://gitpod.io/from-referrer/)
|
t-analysis
large-import
|
398/0 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/GramMatrix.lean,Mathlib/Analysis/InnerProductSpace/NormDet.lean,docs/references.bib |
4 |
6 |
['copilot-pull-request-reviewer', 'github-actions'] |
ADedecker assignee:ADedecker |
1-81348 1 day ago |
2-81896 2 days ago |
2-81662 2 days |
| 37316 |
WenrongZou author:WenrongZou |
feat(Topology/HomotopyGroup): first homotopy group iso fundamental group |
---
This PR proves that first homotopy group is isomorphic to fundamental group.
[](https://gitpod.io/from-referrer/)
|
t-topology |
42/2 |
Mathlib/Topology/Homotopy/HomotopyGroup.lean |
1 |
2 |
['WenrongZou', 'github-actions'] |
j-loreaux assignee:j-loreaux |
1-81343 1 day ago |
2-35692 2 days ago |
2-35458 2 days |
| 36239 |
plp127 author:plp127 |
feat(FieldTheory/KrullTopology): define uniform group structure on galois group |
Endow the galois group of a field extension `Gal(L/K)` with the structure of a uniform group. Use this to prove some properties of the galois group earlier, for example, that the galois group is compact is immediate, and in more generality than the version proved in `FieldTheory/Galois/Profinite`. Deprecate some material which used to be used to define the krull topology, but is now unused since the krull topology comes out of the uniform structure.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
271/177 |
Mathlib/FieldTheory/Galois/Infinite.lean,Mathlib/FieldTheory/Galois/Profinite.lean,Mathlib/FieldTheory/KrullTopology.lean,Mathlib/NumberTheory/Cyclotomic/CyclotomicCharacter.lean |
4 |
17 |
['github-actions', 'mathlib-merge-conflicts', 'plp127', 'vihdzp'] |
nobody |
1-72287 1 day ago |
1-72287 1 day ago |
1-72053 1 day |
| 37160 |
vihdzp author:vihdzp |
feat: product of Coxeter matrices |
The Coxeter matrix `A * B` is the block matrix `!![A, 2; 2, B]`.
---
I've used multiplication to denote this under the logic that the product of Coxeter groups has a Coxeter matrix given by this construction. Perhaps this isn't desirable, considering it doesn't match matrix multiplication. I'm open to suggestions.
[](https://gitpod.io/from-referrer/)
|
t-group-theory |
13/3 |
Mathlib/GroupTheory/Coxeter/Matrix.lean |
1 |
3 |
['github-actions', 'tb65536', 'vihdzp'] |
tb65536 assignee:tb65536 |
1-65383 1 day ago |
5-42989 5 days ago |
5-42755 5 days |
| 34507 |
metakunt author:metakunt |
feat(NumberTheory/AKSPrimality): Adds the AKS primality test |
Adds the completed proof for the AKS primality test.
Everything except the final theorem is marked private as it's only needed for the final proof.
Also everything except the final theorem is namespaced with AKS.
----
Zulip discussion: https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Aks.20primality.20Theorem.206.2E1.20Claim.20.28i.29.20proven |
t-number-theory |
645/0 |
Mathlib.lean,Mathlib/NumberTheory/AKSPrimality.lean |
2 |
51 |
['github-actions', 'jcommelin', 'kim-em', 'metakunt', 'qawbecrdtey', 'tb65536', 'vihdzp'] |
tb65536 assignee:tb65536 |
1-62359 1 day ago |
1-62359 1 day ago |
31-54886 31 days |
| 34808 |
YaelDillies author:YaelDillies |
feat(Combinatorics/SimpleGraph): isolated vertices |
From ProofBench
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
37/1 |
Mathlib/Combinatorics/SimpleGraph/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean,Mathlib/Combinatorics/SimpleGraph/Finite.lean |
3 |
5 |
['YaelDillies', 'b-mehta', 'github-actions'] |
b-mehta assignee:b-mehta |
1-58601 1 day ago |
1-58652 1 day ago |
53-34890 53 days |
| 36804 |
YaelDillies author:YaelDillies |
refactor(Combinatorics/SimpleGraph): use `edge` and `deleteEdges` more |
Alternatively, we should make them `abbrev`s.
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
78/38 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean,Mathlib/Combinatorics/SimpleGraph/DeleteEdges.lean,Mathlib/Combinatorics/SimpleGraph/Operations.lean |
5 |
3 |
['b-mehta', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
1-58510 1 day ago |
1-58531 1 day ago |
11-10165 11 days |
| 37308 |
ajirving author:ajirving |
chore(Analysis/SpecialFunctions/Integrability): better theorem names in LogMeromorphic.lean |
Put MeromorphicOn first in names as suggested by @j-loreaux in review
of #36950. This is the correct Mathlib naming and makes applications simpler.
---
[](https://gitpod.io/from-referrer/)
|
t-analysis |
56/39 |
Mathlib/Analysis/Complex/JensenFormula.lean,Mathlib/Analysis/Complex/ValueDistribution/FirstMainTheorem.lean,Mathlib/Analysis/Complex/ValueDistribution/Proximity/Basic.lean,Mathlib/Analysis/Polynomial/MahlerMeasure.lean,Mathlib/Analysis/SpecialFunctions/Integrability/LogMeromorphic.lean,Mathlib/Analysis/SpecialFunctions/Integrals/PosLogEqCircleAverage.lean |
6 |
2 |
['github-actions'] |
j-loreaux assignee:j-loreaux |
1-56044 1 day ago |
2-49981 2 days ago |
2-49747 2 days |
| 35613 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Clique): use `IsContained` instead of an explicit embedding from top |
This makes theorems require only a proof that a `Copy` exists rather than provide an explicit `Embedding`.
Also tag monotonicity lemmas with `@[gcongr]`, and add `Copy.isContained` / `Embedding.isIndContained` / `Embedding.isContained` / `Iso.isContained'`.
---
This isn't a generalization per-se since one could use choice plus `Copy.topEmbedding` to upgrade the `IsContained` to an embedding, but `IsContained` makes more sense in theorems.
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
maintainer-merge
|
65/55 |
Mathlib/Combinatorics/SimpleGraph/Clique.lean,Mathlib/Combinatorics/SimpleGraph/CompleteMultipartite.lean,Mathlib/Combinatorics/SimpleGraph/Copy.lean,Mathlib/Combinatorics/SimpleGraph/Extremal/Turan.lean |
4 |
21 |
['SnirBroshi', 'YaelDillies', 'github-actions'] |
awainverse assignee:awainverse |
1-43999 1 day ago |
7-36378 7 days ago |
31-18437 31 days |
| 37278 |
SnirBroshi author:SnirBroshi |
chore(Order/Defs/Unbundled): deprecate `def Reflexive` in favor of `class Std.Refl` |
Also adds definitional lemmas `std*_def` for the relation classes, and cleans up things nearby, especially in `Logic/Relation.lean`.
---
[Mathlib's `def Reflexive`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Order/Defs/Unbundled.html#Reflexive)
[Core's `class Std.Refl`](https://leanprover-community.github.io/mathlib4_docs/Init/Core.html#Std.Refl)
[Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Relation.20properties.20duplication/near/544638270)
[](https://gitpod.io/from-referrer/)
|
|
229/171 |
Mathlib/Algebra/Group/Semiconj/Defs.lean,Mathlib/CategoryTheory/Abelian/Pseudoelements.lean,Mathlib/CategoryTheory/IsConnected.lean,Mathlib/Computability/Reduce.lean,Mathlib/Data/List/Pairwise.lean,Mathlib/Data/Seq/Computation.lean,Mathlib/Data/Sym/Sym2.lean,Mathlib/Data/WSeq/Relation.lean,Mathlib/GroupTheory/FreeGroup/Basic.lean,Mathlib/Logic/Pairwise.lean,Mathlib/Logic/Relation.lean,Mathlib/ModelTheory/Order.lean,Mathlib/ModelTheory/Semantics.lean,Mathlib/Order/Defs/Unbundled.lean,Mathlib/Order/Directed.lean,Mathlib/Order/Interval/Finset/Basic.lean,Mathlib/Order/Quotient.lean,Mathlib/Order/ScottContinuity.lean,Mathlib/Order/SuccPred/Relation.lean,MathlibTest/abel.lean |
20 |
3 |
['SnirBroshi', 'github-actions', 'leanprover-radar'] |
nobody |
1-42839 1 day ago |
3-15989 3 days ago |
3-17556 3 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 ` 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.
### 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 ` adds these labels to this PR using `curl`. This requires a github access token for authentication
---
[](https://gitpod.io/from-referrer/)
|
CI |
87/73 |
.github/workflows/add_label_from_diff.yaml,scripts/autolabel.lean |
2 |
4 |
['github-actions', 'mathlib-merge-conflicts'] |
adomani assignee:adomani |
1-41912 1 day ago |
1-42195 1 day ago |
33-83301 33 days |
| 37060 |
pfaffelh author:pfaffelh |
feat: `Set.indicator` on a disjoint union equals the sum of individual `Set.indicator` |
Prove a helper lemma on mulIndicators, needed in measure/probability theory:
If `s : γ → Set β` is `Pairwise (Disjoint on s)` and `f : β → α`, then `(⋃ d, s d).mulIndicator f i = ∏' d, (s d).mulIndicator f i` for `i : β`.
The `to_additive` tag is added for `Set.indicator`.
---
[](https://gitpod.io/from-referrer/)
|
t-topology |
57/1 |
Mathlib/Algebra/Group/Indicator.lean,Mathlib/Topology/Algebra/InfiniteSum/Basic.lean |
2 |
26 |
['DavidLedvinka', 'github-actions', 'ocfnash', 'pfaffelh'] |
ocfnash assignee:ocfnash |
1-41034 1 day ago |
3-6298 3 days ago |
6-60945 6 days |
| 36728 |
chenson2018 author:chenson2018 |
feat: linter for terminal squeezes |
See discussion at [#**mathlib4>linter requests@576559620** ](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/linter.20requests/near/576559620). This PR adds a linter that indicates when a flexible terminal tactic is squeezed and can be replaced by the unsqueezed equivalent. Like the other tactic analysis linters, this is off by default and intended for periodic reports.
At the moment, this includes only `simp` and `simp_all`, just like the flexible linter, and does not take the further step of removing unused `simp` arguments. The style guide specifies that
> a simp call is terminal if it closes the current goal or is only followed by flexible tactics
and this linter complies with this by checking not only for "literal terminal" tactics that are syntactically the last to close a goal but also for "block terminal" tactics that are only followed by tactics permitted to follow a flexible tactic. (This terminology is not standard, but is a nice suggestion by @adomani)
---
[](https://gitpod.io/from-referrer/)
|
large-import
t-linter
|
109/1 |
Mathlib/Tactic/Linter/FlexibleLinter.lean,Mathlib/Tactic/TacticAnalysis/Declarations.lean,MathlibTest/TacticAnalysis.lean |
3 |
8 |
['SnirBroshi', 'chenson2018', 'github-actions'] |
nobody |
1-40904 1 day ago |
10-63651 10 days ago |
10-63417 10 days |
| 37317 |
vihdzp author:vihdzp |
feat: a topology with a basis of clopens is completely regular |
---
[](https://gitpod.io/from-referrer/)
|
t-topology |
11/0 |
Mathlib/Topology/Separation/CompletelyRegular.lean |
1 |
2 |
['github-actions', 'themathqueen'] |
urkud assignee:urkud |
1-37515 1 day ago |
2-29672 2 days ago |
2-29438 2 days |
| 35976 |
Phelixh author:Phelixh |
feat: add add Liu's uncertainty theory foundations (core/distribution/process modules) |
---
[](https://gitpod.io/from-referrer/)
|
new-contributor |
2374/0 |
Mathlib.lean,Mathlib/Uncertainty/Base.lean,Mathlib/Uncertainty/BaseCore.lean,Mathlib/Uncertainty/BaseDistribution.lean,Mathlib/Uncertainty/BaseProcess.lean,Mathlib/Uncertainty/Uncertainty.lean |
6 |
26 |
['Phelixh', 'copilot-pull-request-reviewer', 'github-actions'] |
nobody |
1-34017 1 day ago |
1-34084 1 day ago |
1-39147 1 day |
| 36994 |
JovanGerb author:JovanGerb |
chore(RefinedDiscrTree/Lookup): remove reference counting workaround |
This PR removes the awkward handling of exceptions in `getMatch`. The reasoning originally was that I wanted to allow in-place mutations in the trie array. But this is not possible anyways, because it lives in a multi-threaded ref, so it cannot be used linearly. See also https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/.5Bcache.5D.20attribute/near/576556138
---
[](https://gitpod.io/from-referrer/)
|
t-meta
maintainer-merge
|
9/14 |
Mathlib/Lean/Meta/RefinedDiscrTree.lean,Mathlib/Lean/Meta/RefinedDiscrTree/Lookup.lean,Mathlib/Tactic/FunProp/Theorems.lean,Mathlib/Tactic/Widget/LibraryRewrite.lean |
4 |
2 |
['github-actions', 'joneugster'] |
alexjbest assignee:alexjbest |
1-32940 1 day ago |
8-22254 8 days ago |
8-22020 8 days |
| 37324 |
homeowmorphism author:homeowmorphism |
chore(GroupTheory/FinitelyPresentedGroup): add co-authors |
In the light of the discussions on the [Zulip thread](https://leanprover.zulipchat.com/#narrow/channel/541885-ItaLean-2025/topic/Projects.3A.20Finitely.20Presented.20Groups/with/566934375) and #36996, it seems sensible to add @kbuzzard and @tb65536 as co-authors in recognition for their work designing the finitely presented group implementation. Please let me know if you think this is appropriate.
---
[](https://gitpod.io/from-referrer/)
|
t-group-theory |
2/2 |
Mathlib/GroupTheory/FinitelyPresentedGroup.lean |
1 |
5 |
['SnirBroshi', 'github-actions', 'homeowmorphism', 'kbuzzard', 'themathqueen'] |
tb65536 assignee:tb65536 |
1-30718 1 day ago |
1-85328 1 day ago |
2-1219 2 days |
| 37236 |
chenson2018 author:chenson2018 |
feat: `TryThis` suggestion for the `mergeWithGrind` linter |
This PR changes the `mergeWithGrind` linter to provide a `TryThis` suggestion. The same message is provided as the currently logged warning, and should still be processed properly by `zulip_build_report.sh` during the weekly linting, just under `info` instead of `warning`.
The motivation here (discussed in [#general > automatically apply code actions](https://leanprover.zulipchat.com/#narrow/channel/113488-general/topic/automatically.20apply.20code.20actions/with/581065286)) is that following #36712 we should be able to partially automate the weekly linting PRs using Skimmer. As an example, the changes in #37018 were prepared in part in this way.
---
[](https://gitpod.io/from-referrer/)
|
t-meta |
22/4 |
Mathlib/Tactic/TacticAnalysis/Declarations.lean,MathlibTest/TacticAnalysis.lean |
2 |
3 |
['chenson2018', 'github-actions', 'joneugster'] |
dwrensha assignee:dwrensha |
1-30306 1 day ago |
4-13857 4 days ago |
4-13623 4 days |
| 36739 |
mbkybky author:mbkybky |
feat(RingTheory): UFD criteria via height `1` prime ideals and localization |
We prove the following UFD criteria via height `1` prime ideals and localization:
1. Let `R` be a Noetherian domain. Then `R` is a UFD if and only if every height `1` prime ideal is principal.
2. Let `R` be a Noetherian domain, `x ∈ R` be a prime element. If `Rₓ` is a UFD, then `R` is also a UFD.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
134/2 |
Mathlib.lean,Mathlib/RingTheory/Ideal/Height.lean,Mathlib/RingTheory/Ideal/UFD.lean,Mathlib/RingTheory/Localization/Away/Basic.lean |
4 |
2 |
['github-actions', 'tb65536'] |
mattrobball assignee:mattrobball |
1-29773 1 day ago |
14-24947 14 days ago |
14-25221 14 days |
| 36773 |
adomasbaliuka author:adomasbaliuka |
feat(Tactic/Linter): lint unwanted unicode |
Add a text-based style linter that checks all unicode characters. Provides automatic replacements for some disallowed characters.
Unicode is very versatile and useful for Lean and Mathlib.
However, it is also very complex and few people have a thorough understanding of all its pitfalls (I don't claim to be one of them).
In order to avoid unpleasant surprises going forward, both accidental and malicious, we should keep track of which Unicode characters are allowed in Mathlib.
In programming and cybersecurity, there are many known [issues and attacks concerning unicode](https://en.wikipedia.org/wiki/Unicode#Security_issues).
Many open source repositories have been hit by such attacks, which are becoming ever more frequent due to the use of automation using e.g. large language models.
Some notable ones:
- [homograph attacks](https://en.wikipedia.org/wiki/IDN_homograph_attack): confusion caused by use of distinct characters which look the same (we probably don't want to fully address this and this PR does not attempt to)
- [Trojan Source](https://en.wikipedia.org/wiki/Trojan_Source): abuse of bidirectional characters. Characters used by languages with right-to-left reading direction can cause code to be displayed differently than it is parsed. (This PR tries to address this)
- Exploits involving Private Use Area characters, e.g. [GlassWorm](https://abit.ee/en/cybersecurity/viruses-trojans-and-other-malware/glassworm-github-supply-chain-attack-unicode-solana-malware-npm-vs-code-2026-en). (This PR tries to address this)
Co-authored-by: Michael Rothgang @grunweg
Co-authored-by: Jon Eugster @joneugster
---
Continues work from #16215 (due to PRs now being made from forks).
Discussed at [Zulip](https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Whitelist.20for.20Unicode.3F/near/448721083)
Note: the script was added due to reviewer comment in #16215. Perhaps that is overkill here.
- [x] depends on: #36811
[](https://gitpod.io/from-referrer/)
|
t-linter |
252/75 |
Mathlib/RingTheory/Spectrum/Prime/Polynomial.lean,Mathlib/Tactic/Linter/TextBased.lean,Mathlib/Tactic/Linter/TextBased/UnicodeLinter.lean,MathlibTest/LintStyle.lean,scripts/README.md,scripts/extract-unique-nonascii.lean |
6 |
24 |
['adomasbaliuka', 'github-actions', 'joneugster', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
joneugster assignee:joneugster |
1-29716 1 day ago |
1-29717 1 day ago |
6-4218 6 days |
| 35569 |
goliath-klein author:goliath-klein |
refactor(PiTensorProduct/{InjectiveNorm, ProjectiveNorm}): deprecate `injectiveSeminorm` |
This PR:
* Deprecates `PiTensorProduct.injectiveSeminorm` and supporting lemmas.
* Moves the theory of `liftEquiv` from InjectiveSeminorm.lean to ProjectiveSeminorm.lean.
No changes are introduced beyond adding deprecation notices, adapting docstrings, and moving material between files.
The PR leaves InjectiveSeminorm.lean almost empty. A new implementation of `injectiveSeminorm`, one which reflects the common mathematical definition, is to be done.
This is the third in a series of three PRs with the goal to [deprecate `PiTensorProuduct.injectiveSeminorm`](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/injectiveSeminorm/with/568798633).
---
- [ ] depends on: #35567
- [ ] depends on: #35568
Deprecations:
- injectiveSeminorm
- dualSeminorms_bounded
- injectiveSeminorm_apply
- norm_eval_le_injectiveSeminorm
- injectiveSeminorm_le_projectiveSeminorm
- injectiveSeminorm_tprod_le
Preliminary work toward a reimplementation is at #33969.
I've added Davood and myself to the "Authors" field, as we have now significantly refactored this module.
Co-authored-by: Davood H. T. Tehrani
[](https://gitpod.io/from-referrer/)
|
new-contributor |
221/232 |
Mathlib/Analysis/Normed/Module/PiTensorProduct/InjectiveSeminorm.lean,Mathlib/Analysis/Normed/Module/PiTensorProduct/ProjectiveSeminorm.lean |
2 |
5 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
1-28914 1 day ago |
1-28938 1 day ago |
2-60920 2 days |
| 37298 |
artie2000 author:artie2000 |
refactor(Algebra/Order): unbundle group and ring cone |
* Unbundle `GroupCone` and `RingCone` using `Submonoid.IsMulPointed`
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
large-import
label:t-algebra$ |
136/31 |
Mathlib/Algebra/Order/Group/Cone.lean,Mathlib/Algebra/Order/Ring/Cone.lean |
2 |
2 |
['artie2000', 'github-actions'] |
nobody |
1-21722 1 day ago |
1-21783 1 day ago |
1-22104 1 day |
| 37341 |
harahu author:harahu |
doc(LinearAlgebra): fix typos |
These typos were found and fixed by Claude Opus 4.6.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
13/13 |
Mathlib/LinearAlgebra/Center.lean,Mathlib/LinearAlgebra/JordanChevalley.lean |
2 |
1 |
['github-actions'] |
nobody |
1-21203 1 day ago |
1-21285 1 day ago |
1-21051 1 day |
| 35072 |
vasnesterov author:vasnesterov |
feat(Tactic/ComputeAsymptotics/Multiseries): non-primitive corecursion for `Seq`: `FriendlyOperation` API |
This is a continuation of #34311.
This PR adds more API about friendly operations:
* Basic friendly operations constructions
* `FriendlyOperation.destruct`: a "coinductive destructor" for `FriendlyOperation`
---
This is a part of the `compute_asymptotics` tactic (#28291).
[](https://gitpod.io/from-referrer/)
|
t-data
t-meta
|
141/2 |
Mathlib/Tactic/ComputeAsymptotics/Multiseries/Corecursion.lean |
1 |
34 |
['Vierkantor', 'github-actions', 'joneugster', 'vasnesterov'] |
joneugster assignee:joneugster |
1-17695 1 day ago |
1-17697 1 day ago |
21-8707 21 days |
| 36871 |
psinary-sketch author:psinary-sketch |
feat(Analysis/Analytic): nonvanishing in punctured neighborhood from derivative |
Add AnalyticAt.eventually_ne_nhdsWithin_of_deriv_ne_zero: if f is analytic at x and f'(x) ≠ 0, then f(w) ≠ f(x) in a punctured neighborhood of x.
No hypothesis on f(x) needed — stronger than the version in #36778. Placed in Order.lean per review feedback from @wwylele.
Split from #36778 (2 of 3).
AI disclosure: Lean code developed with Claude (Anthropic) assistance in workflow. Mathematical content and proof strategies are original. All code verified locally with lake env lean before submission. |
t-analysis
new-contributor
LLM-generated
|
13/1 |
Mathlib/Analysis/Analytic/Order.lean |
1 |
4 |
['github-actions', 'mathlib-merge-conflicts'] |
j-loreaux assignee:j-loreaux |
1-17600 1 day ago |
3-2721 3 days ago |
10-33369 10 days |
| 37344 |
vihdzp author:vihdzp |
feat: monotone function `Cardinal → α` is eventually constant |
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory
t-order
|
57/0 |
Mathlib.lean,Mathlib/Logic/Small/Basic.lean,Mathlib/SetTheory/Cardinal/EventuallyConst.lean |
3 |
3 |
['github-actions', 'vihdzp', 'wwylele'] |
nobody |
1-12921 1 day ago |
1-15466 1 day ago |
1-17391 1 day |
| 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.
---
- [ ] depends on: #30981
- [ ] depends on: #30982
- [ ] depends on: #31205
- [ ] depends on: #32019
- [ ] depends on: #32021
- [ ] depends on: #32259
- [ ] depends on: #32260
- [ ] depends on: #32270
- [ ] depends on: #32273
- [ ] depends on: #32278
[](https://gitpod.io/from-referrer/)
|
t-euclidean-geometry |
98/0 |
Mathlib/Geometry/Euclidean/Angle/Incenter.lean |
1 |
8 |
['github-actions', 'jsm28', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'wwylele'] |
JovanGerb assignee:JovanGerb |
1-11615 1 day ago |
3-19146 3 days ago |
3-19648 3 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
---
|
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'] |
jsm28 assignee:jsm28 |
1-11485 1 day ago |
33-21048 33 days ago |
35-55100 35 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.
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
460/0 |
Mathlib.lean,Mathlib/Combinatorics/Tiling/TileSet.lean |
2 |
23 |
['Parcly-Taxel', 'b-mehta', 'eric-wieser', 'github-actions', 'jsm28', 'vihdzp'] |
b-mehta assignee:b-mehta |
1-10345 1 day ago |
76-12300 76 days ago |
76-12066 76 days |
| 37346 |
euprunin author:euprunin |
chore: golf using `grind` |
The goal of this PR is to decrease the number of times lemmas are called explicitly. Any decrease in compilation time is a welcome side effect, although it is not a primary objective.
Trace profiling results (differences <30 ms considered measurement noise):
* `✅️ SimpleGraph.Walk.IsPath.getVert_injOn`: unchanged 🎉
* `✅️ SimpleGraph.Walk.length_bypass_le`: unchanged 🎉
* `✅️ Rat.floor_intCast_div_natCast`: unchanged 🎉
* `✅️ InnerProductGeometry.norm_eq_of_angle_sub_eq_angle_sub_rev_of_angle_ne_pi`: unchanged 🎉
* `✅️ padicNorm.zero_of_padicNorm_eq_zero`: unchanged 🎉
Profiled using `set_option trace.profiler true in`.
---
[](https://gitpod.io/from-referrer/)
|
|
6/38 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean,Mathlib/Data/Rat/Floor.lean,Mathlib/Geometry/Euclidean/Triangle.lean,Mathlib/NumberTheory/Padics/PadicNorm.lean |
4 |
1 |
['github-actions'] |
nobody |
1-5055 1 day ago |
1-5121 1 day ago |
1-4887 1 day |
| 37006 |
hakii6 author:hakii6 |
feat(LinearAlgebra/Matrix/Block, Analysis/Normed/Algebra/MatrixExponential): add BlockTriangular.pow and BlockTriangular.exp |
# Summary
Add BlockTriangular.pow and BlockTriangular.exp for proving "det (exp A) = exp (trace A)"
# Which part using LLM
The part I used LLM is for
1. Searching duplicated theorems and lemmas I may missed (I already search them myself first).
2. Help me handle the "variables and signatures", the "letI" part, some of lemmas and theorems trivial but hard to find the true one.
3. After I finished, let them helped me check the structure match the disciplines of mathlib.
4. Check the steps PR match the disciplines of mathlib
Most things above are done by me first, then let them to make sure I'm not missing something.
# More context
More context can be found in a topic in "# new member" in Zulip
[#new members > (Matrix and NormedSpace.exp) | det (exp A) = exp (trace A)](https://leanprover.zulipchat.com/#narrow/channel/113489-new-members/topic/.28Matrix.20and.20NormedSpace.2Eexp.29.20.7C.20det.20.28exp.20A.29.20.3D.20exp.20.28trace.20A.29/with/580964688)
|
new-contributor
LLM-generated
|
54/1 |
Mathlib/Analysis/Normed/Algebra/MatrixExponential.lean,Mathlib/LinearAlgebra/Matrix/Block.lean,Mathlib/Topology/Instances/Matrix.lean |
3 |
59 |
['SnirBroshi', 'eric-wieser', 'github-actions', 'hakii6', 'wwylele'] |
nobody |
1-1014 1 day ago |
3-3982 3 days ago |
7-81373 7 days |
| 32983 |
JovanGerb author:JovanGerb |
feat: use `LE.le` for subset relation in `Set`, `Finset`, `PSet`, `ZFSet` |
This PR allows the use of `⊆` notation while the underlying constant is `≤`.
Similarly for `⊂`/`<`, `⊇`/`≥` and `⊃`/`>`.
Some notes:
- The idea is to later extend this feature to other set notation constants, such as union/intersection.
- There are some types for which we cannot use `LE.le` as the underlying constant, because the API has already been developed in core using `HasSubset.Subset`. For example List. So, the elaborator for the `⊆` notation needs to make a decision for which underlying constant to elaborate to, depending on the type. Sometimes the type is not known yet, which makes things awkward. Most of these cases are solved by delaying the elaboration until later when the type is known. However, in some cases this doesn't work either, such as `simp_rw [and_comm (_ ⊆ _)]`, where it is impossible to tell the type when elaborating the term. So, some such cases need to be fixed by making it `simp_rw [and_comm (_ ≤ _)]`.
- Dot notation on the `HasSubset.Subset` namespace now doesn't work anymore, and the names need to be put in the `LE.le` namespace instead.
- Various `simp` and `gcongr` tags needed to be removed/updated as a result of this change.
See also https://leanprover.zulipchat.com/#narrow/channel/113488-general/topic/Any.20infimum.20based.20version.20of.20.60OmegaCompletePartialOrder.60.3F/near/579333629
---
- [x] depends on: #36633
- [x] depends on: #36734
- [x] depends on: #36782
- [x] depends on: #37012
[](https://gitpod.io/from-referrer/)
|
t-data
t-meta
|
542/428 |
Mathlib.lean,Mathlib/Algebra/Algebra/Subalgebra/Lattice.lean,Mathlib/Algebra/Group/Pointwise/Finset/Basic.lean,Mathlib/Algebra/Group/Pointwise/Set/Basic.lean,Mathlib/Algebra/GroupWithZero/Action/Pointwise/Finset.lean,Mathlib/Algebra/GroupWithZero/Action/Pointwise/Set.lean,Mathlib/Algebra/Module/Torsion/Basic.lean,Mathlib/Algebra/MvPolynomial/Monad.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Pow.lean,Mathlib/Analysis/LocallyConvex/WeakSpace.lean,Mathlib/Analysis/Normed/Group/FunctionSeries.lean,Mathlib/Analysis/SpecialFunctions/Log/Summable.lean,Mathlib/CategoryTheory/CofilteredSystem.lean,Mathlib/CategoryTheory/Topos/Sheaf.lean,Mathlib/Combinatorics/Enumerative/Partition/GenFun.lean,Mathlib/Combinatorics/Hall/Basic.lean,Mathlib/Combinatorics/Matroid/Basic.lean,Mathlib/Combinatorics/Matroid/Constructions.lean,Mathlib/Combinatorics/Matroid/Dual.lean,Mathlib/Combinatorics/Matroid/Rank/Cardinal.lean,Mathlib/Combinatorics/SetFamily/AhlswedeZhang.lean,Mathlib/Combinatorics/SetFamily/KruskalKatona.lean,Mathlib/Combinatorics/SimpleGraph/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Ends/Defs.lean,Mathlib/Data/Finset/BooleanAlgebra.lean,Mathlib/Data/Finset/Defs.lean,Mathlib/Data/Finset/Filter.lean,Mathlib/Data/Finset/Image.lean,Mathlib/Data/Finset/Lattice/Basic.lean,Mathlib/Data/Finset/Option.lean,Mathlib/Data/Finset/Powerset.lean,Mathlib/Data/Finset/SDiff.lean,Mathlib/Data/Finset/Sups.lean,Mathlib/Data/Fintype/Card.lean,Mathlib/Data/Multiset/ZeroCons.lean,Mathlib/Data/Rat/Star.lean,Mathlib/Data/Set/Basic.lean,Mathlib/Data/Set/Card.lean,Mathlib/Data/Set/Defs.lean,Mathlib/Data/Set/Disjoint.lean,Mathlib/Data/Set/Finite/Basic.lean,Mathlib/Data/Set/FiniteExhaustion.lean,Mathlib/Data/Set/Notation.lean,Mathlib/Data/Set/Semiring.lean,Mathlib/Data/Set/Sups.lean,Mathlib/Data/SetLike/Basic.lean,Mathlib/Dynamics/Ergodic/Ergodic.lean,Mathlib/Dynamics/FixedPoints/Prufer.lean,Mathlib/GroupTheory/CosetCover.lean,Mathlib/GroupTheory/GroupAction/Blocks.lean,Mathlib/Lean/Expr/ExtraRecognizers.lean,Mathlib/LinearAlgebra/AffineSpace/Simplex/Basic.lean,Mathlib/Logic/Equiv/PartialEquiv.lean,Mathlib/MeasureTheory/Covering/LiminfLimsup.lean,Mathlib/MeasureTheory/Function/AEEqOfIntegral.lean,Mathlib/MeasureTheory/Integral/DominatedConvergence.lean,Mathlib/MeasureTheory/Integral/IntegralEqImproper.lean,Mathlib/MeasureTheory/Measure/AEDisjoint.lean,Mathlib/MeasureTheory/Measure/Decomposition/RadonNikodym.lean,Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean,Mathlib/MeasureTheory/Measure/Prokhorov.lean,Mathlib/MeasureTheory/Measure/Regular.lean,Mathlib/MeasureTheory/Measure/Stieltjes.lean,Mathlib/MeasureTheory/Measure/Typeclasses/Finite.lean,Mathlib/MeasureTheory/Measure/Typeclasses/SFinite.lean,Mathlib/MeasureTheory/SetSemiring.lean,Mathlib/NumberTheory/WellApproximable.lean,Mathlib/Order/Birkhoff.lean,Mathlib/Order/BooleanAlgebra/Set.lean,Mathlib/Order/Bounds/Basic.lean,Mathlib/Order/Filter/AtTopBot/Finset.lean,Mathlib/Order/Filter/Basic.lean,Mathlib/Order/Filter/CountableInter.lean,Mathlib/Order/Filter/Ker.lean,Mathlib/Order/Heyting/Basic.lean,Mathlib/Order/Interval/Finset/Defs.lean,Mathlib/Order/LiminfLimsup.lean,Mathlib/Order/PrimeSeparator.lean,Mathlib/Order/RelClasses.lean,Mathlib/Probability/Process/HittingTime.lean,Mathlib/RingTheory/AlgebraicIndependent/TranscendenceBasis.lean,Mathlib/RingTheory/Polynomial/Cyclotomic/Eval.lean,Mathlib/RingTheory/Spectrum/Prime/Module.lean,Mathlib/SetTheory/ZFC/Basic.lean,Mathlib/SetTheory/ZFC/Class.lean,Mathlib/SetTheory/ZFC/Ordinal.lean,Mathlib/SetTheory/ZFC/PSet.lean,Mathlib/Tactic.lean,Mathlib/Tactic/SetNotation.lean,Mathlib/Topology/Algebra/InfiniteSum/Constructions.lean,Mathlib/Topology/Algebra/InfiniteSum/SummationFilter.lean,Mathlib/Topology/Algebra/Nonarchimedean/TotallyDisconnected.lean,Mathlib/Topology/Category/TopCat/Limits/Konig.lean,Mathlib/Topology/Compactness/SigmaCompact.lean,Mathlib/Topology/ExtremallyDisconnected.lean,Mathlib/Topology/Instances/CantorSet.lean,Mathlib/Topology/MetricSpace/HausdorffDistance.lean,Mathlib/Topology/MetricSpace/Ultra/Basic.lean,Mathlib/Topology/Order/HullKernel.lean |
106 |
9 |
['JovanGerb', 'github-actions', 'joneugster', 'leanprover-radar', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
joneugster assignee:joneugster |
0-83920 23 hours ago |
2-42746 2 days ago |
2-61175 2 days |
| 31662 |
edwin1729 author:edwin1729 |
feat(Topology/Order): topological basis of scott topology on Complete… |
…PartialOrder
---
[Zulip discussion](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/.3E.20Algebraic.20complete.20partial.20order.20and.20domain.20theory/with/536359313) for this PR.
(1/2) PRs in domain theory, proving that scott topologies over Algebraic DCPOs (`CompletePartialOrder`) are sober.
The main reference is [Renata, Duality in Domain Theory](https://alyata.github.io/documents/duality_domain_theory.pdf). But the statements can also be found in the canonical text [Abramsky and Jung](https://www.cs.ox.ac.uk/people/samson.abramsky/handbook.pdf)
This first PR proves two prerequisites, namely:
- the specialization order induced by the scott topology corresponds to the existing order of the DCPO. Prop 3.1.5 in [Duality in Domain Theory](https://alyata.github.io/documents/duality_domain_theory.pdf) and Prop 2.3.2(1) in [Abramsky and Jung](https://www.cs.ox.ac.uk/people/samson.abramsky/handbook.pdf)
- the upward closures of compact elements of the DCPO form a topological basis for the Scott Topology. Prop 3.5.2 in [Duality in Domain Theory](https://alyata.github.io/documents/duality_domain_theory.pdf) and Prop 2.3.6(2) in [Abramsky and Jung](https://www.cs.ox.ac.uk/people/samson.abramsky/handbook.pdf)
- [x] depends on: #33061
**The next PR is here:** #31670
[](https://gitpod.io/from-referrer/)
|
t-topology
new-contributor
|
239/1 |
Mathlib.lean,Mathlib/Topology/Order/ScottTopology.lean,Mathlib/Topology/Order/ScottTopologyDCPO.lean,docs/references.bib |
4 |
66 |
['b-mehta', 'edwin1729', 'github-actions', 'mathlib-merge-conflicts', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'plp127'] |
urkud assignee:urkud |
0-81355 22 hours ago |
23-36332 23 days ago |
30-2415 30 days |
| 35813 |
joelriou author:joelriou |
feat(Algebra/Homology): a factorization lemma |
In this PR, we show that if `f : K ⟶ L` is a morphism between bounded below cochain complexes in an abelian category with enough injectives, then there exists a factorization `ι ≫ π = f` with `ι : K ⟶ K'` a monomorphism that is also a quasi-isomorphism and `π : K' ⟶ L` a morphism which degreewise is an epimorphism with an injective kernel, while `K'` is also bounded below (with precise bounds depending on the available bounds for `K` and `L`).
This will be an essential result towards the construction of the Quillen model category structure on bounded below cochain complexes in an abelian category with enough injectives, and it will be used in order to construct the total right derived functor of a (right exact) functor.
---
(This is an attempt at cleaning up the code in https://github.com/joelriou/mathlib4/blob/jriou_localization/Mathlib/Algebra/Homology/Factorizations/CM5a.lean)
- [x] depends on: #36931
- [x] depends on: #36593
- [x] depends on: #35931
- [x] depends on: #35939
- [x] depends on: #35929
- [x] depends on: #35930
- [x] depends on: #35932
- [x] depends on: #35934
- [x] depends on: #35935
- [x] depends on: #35936
- [x] depends on: #35937
- [x] depends on: #35938
[](https://gitpod.io/from-referrer/)
|
t-category-theory |
237/15 |
Mathlib/Algebra/Homology/Factorizations/CM5a.lean |
1 |
6 |
['github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
robin-carlier assignee:robin-carlier |
0-81354 22 hours ago |
1-31918 1 day ago |
1-31684 1 day |
| 35912 |
WenrongZou author:WenrongZou |
feat(RingTheory/FormalGroup): definition and examples of formal group |
---
Definition of one dimensional formal group law over commutative ring and some examples of formal group law.
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
197/0 |
Mathlib.lean,Mathlib/RingTheory/FormalGroup/Basic.lean,Mathlib/RingTheory/MvPowerSeries/Substitution.lean,docs/references.bib |
4 |
19 |
['WenrongZou', 'erdOne', 'github-actions', 'wwylele'] |
erdOne, jcommelin, mattrobball assignee:jcommelin assignee:erdOne assignee:mattrobball |
0-81354 22 hours ago |
3-13035 3 days ago |
16-52087 16 days |
| 37305 |
eric-wieser author:eric-wieser |
feat: `Matrix.hadamard_kronecker_hadamard` |
This is the earliest file that imports both operators.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
easy
label:t-algebra$ |
10/0 |
Mathlib/LinearAlgebra/Matrix/Vec.lean |
1 |
4 |
['eric-wieser', 'github-actions', 'themathqueen'] |
dagurtomas assignee:dagurtomas |
0-81351 22 hours ago |
2-58966 2 days ago |
2-58731 2 days |
| 37306 |
eric-wieser author:eric-wieser |
chore: generalize `Matrix.dotProduct_vecMul_hadamard` |
---
[](https://gitpod.io/from-referrer/)
|
easy
t-algebra
label:t-algebra$ |
1/1 |
Mathlib/LinearAlgebra/Matrix/Hadamard.lean |
1 |
2 |
['github-actions', 'themathqueen'] |
dagurtomas assignee:dagurtomas |
0-81351 22 hours ago |
2-58609 2 days ago |
2-58374 2 days |
| 37327 |
ldct author:ldct |
feat: `Complex.tan, Complex.tanh` are meromorphic |
From the AlexKontorovich/PrimeNumberTheoremAnd project
---
[](https://gitpod.io/from-referrer/)
|
t-analysis |
33/0 |
Mathlib.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Meromorphic.lean |
2 |
1 |
['github-actions'] |
j-loreaux assignee:j-loreaux |
0-81349 22 hours ago |
1-6212 1 day ago |
1-5977 1 day |
| 37332 |
joelriou author:joelriou |
feat(AlgebraicTopology/SimplicialSet): more on nondegenerate simplices of the standard simplex |
---
[](https://gitpod.io/from-referrer/)
|
t-algebraic-topology |
154/0 |
Mathlib/AlgebraicTopology/SimplicialSet/Boundary.lean,Mathlib/AlgebraicTopology/SimplicialSet/Simplices.lean,Mathlib/AlgebraicTopology/SimplicialSet/StdSimplex.lean,Mathlib/Data/Finset/BooleanAlgebra.lean,Mathlib/Order/Fin/Basic.lean |
5 |
1 |
['github-actions'] |
robin-carlier assignee:robin-carlier |
0-81347 22 hours ago |
1-55058 1 day ago |
1-54823 1 day |
| 37334 |
joelriou author:joelriou |
feat(AlgebraicTopology/SimplicialSet): evaluation on subcomplexes |
In this PR, given a simplicial set `X` and `j : SimplexCategoryᵒᵖ`, we define a functor `evaluation X j : X.Subcomplex ⥤ Set (X.obj j)`, and use it to show that the functor `Subcomplex.toSSetFunctor` which sends a subcomplex of `X` to the corresponding simplicial set preserves filtered colimits.
---
[](https://gitpod.io/from-referrer/)
|
t-algebraic-topology |
67/0 |
Mathlib.lean,Mathlib/AlgebraicTopology/SimplicialSet/Subcomplex.lean,Mathlib/AlgebraicTopology/SimplicialSet/SubcomplexEvaluation.lean |
3 |
1 |
['github-actions'] |
robin-carlier assignee:robin-carlier |
0-81346 22 hours ago |
1-54111 1 day ago |
1-53876 1 day |
| 37335 |
joelriou author:joelriou |
feat(AlgebraicTopology/SimplicialSet): induction principles for nondegenerate simplices |
---
[](https://gitpod.io/from-referrer/)
|
t-algebraic-topology |
101/0 |
Mathlib/AlgebraicTopology/SimplicialSet/NonDegenerateSimplices.lean,Mathlib/AlgebraicTopology/SimplicialSet/NonDegenerateSimplicesSubcomplex.lean,Mathlib/AlgebraicTopology/SimplicialSet/Simplices.lean |
3 |
1 |
['github-actions'] |
robin-carlier assignee:robin-carlier |
0-81345 22 hours ago |
1-53900 1 day ago |
1-53665 1 day |
| 37347 |
JovanGerb author:JovanGerb |
feat: implementation of `@[use_set_notation]` |
This PR is the implementation part of #32983, without using the feature yet.
---
[](https://gitpod.io/from-referrer/)
|
t-meta |
261/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/SetNotation.lean,MathlibTest/Delab/Subset.lean |
4 |
1 |
['github-actions'] |
alexjbest assignee:alexjbest |
0-81343 22 hours ago |
1-701 1 day ago |
1-466 1 day |
| 37349 |
kim-em author:kim-em |
feat(Analysis/Polynomial/MahlerMeasure): Landau's inequality and Mignotte bound |
This PR extracts Landau's inequality as a standalone theorem and adds the
Mignotte coefficient bound for polynomial factors.
Landau's inequality (`mahlerMeasure_le_sqrt_sum_sq_norm_coeff`) states that
the Mahler measure of a polynomial is at most `√(∑ ‖coeff i‖²)`. This was
previously buried as an intermediate step inside the proof of
`mahlerMeasure_le_sqrt_natDegree_add_one_mul_supNorm`, which is now a short
corollary.
The Mignotte bound (`norm_coeff_le_choose_mul_mahlerMeasure_mul`) says that
if `f = g * h` with `M(h) ≥ 1`, then `‖g.coeff n‖ ≤ C(deg g, n) · M(f)`.
The hypothesis `M(h) ≥ 1` holds in particular for nonzero integer polynomials
(via `one_le_mahlerMeasure`, also added here). This is the classical bound
used in Berlekamp–Zassenhaus polynomial factorization.
New declarations:
- `one_le_mahlerMeasure`
- `mahlerMeasure_le_sqrt_sum_sq_norm_coeff`
- `le_mahlerMeasure_mul_right` / `le_mahlerMeasure_mul_left`
- `norm_coeff_le_choose_mul_mahlerMeasure_mul`
The ℓ² norm is stated explicitly as `√(∑ i ∈ p.support, ‖p.coeff i‖ ^ 2)`
with a TODO to restate using a dedicated polynomial ℓ² norm once one is
defined (cf. the TODO in `Mathlib.Analysis.Polynomial.Norm`).
🤖 Prepared with [Claude Code](https://claude.ai/code) |
t-analysis |
58/20 |
Mathlib/Analysis/Polynomial/MahlerMeasure.lean |
1 |
2 |
['github-actions', 'mathlib-bors'] |
nobody |
0-80594 22 hours ago |
0-80640 22 hours ago |
0-80709 22 hours |
| 37336 |
mbkybky author:mbkybky |
feat(RingTheory/Polynomial): some lemmas about `Ideal.leadingCoeff` |
Add some lemmas about [Ideal.leadingCoeff](https://leanprover-community.github.io/mathlib4_docs/Mathlib/RingTheory/Polynomial/Basic.html#Ideal.leadingCoeff).
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
54/1 |
Mathlib/RingTheory/Polynomial/Basic.lean |
1 |
3 |
['github-actions', 'wwylele'] |
nobody |
0-78776 21 hours ago |
0-78835 21 hours ago |
1-30156 1 day |
| 37299 |
XC0R author:XC0R |
feat(NumberTheory): Chebyshev's lower bound on primorial |
## Summary
Prove `primorial(n) ≥ 2^(n/2)` for all `n ≥ 2` (Chebyshev's 1852 lower bound). This is the lower bound complement to `primorial_le_four_pow`. Addresses the TODO at `Chebyshev.lean` line 50: "Prove Chebyshev's lower bound."
### New file: `Mathlib/NumberTheory/PrimorialLowerBound.lean`
**Main theorems:**
- `two_pow_le_primorial`: `2 ^ n ≤ primorial (2 * n)` for `n ≥ 29`
- `two_pow_div_two_le_primorial`: `2 ^ (n / 2) ≤ primorial n` for `n ≥ 2`
**Key intermediates:**
- `centralBinom_le_pow_mul_primorial`: `C(2n,n) ≤ (2n)^{π(√(2n)+1)} * primorial(2n)`
- `eight_mul_sq_add_le_two_pow`: `8u² + 16u + 8 ≤ 2^u` for `u ≥ 10`
### Proof technique
Central binomial decomposition: from `four_pow_lt_mul_centralBinom` and `factorization_choose_le_log`, bound `C(2n,n)` above by `(2n)^{π(√(2n)+1)} * primorial(2n)`. Rearranging gives `primorial(2n) ≥ 2^n` for `n ≥ 29`. Base cases by `norm_num` + `decide`, large `n` analytically via `√n` factoring.
### AI disclosure
Claude (Anthropic) was used as a coding assistant for Lean tactic exploration, file structuring, and CI debugging. All proof strategy, mathematical content, and final code have been reviewed and are understood by the author. |
t-number-theory
new-contributor
|
234/0 |
Mathlib.lean,Mathlib/NumberTheory/PrimorialLowerBound.lean,Mathlib/NumberTheory/SmoothNumbers.lean |
3 |
21 |
['MichaelStollBayreuth', 'Parcly-Taxel', 'XC0R', 'github-actions', 'wwylele'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
0-77026 21 hours ago |
2-78923 2 days ago |
2-78803 2 days |
| 37353 |
SnirBroshi author:SnirBroshi |
feat(Order/WellFounded): characterize `WellFoundedLT` and `IsWellOrder` in terms of nonempty sets |
---
Both of these use the existing characterization of `WellFounded`.
[](https://gitpod.io/from-referrer/)
|
t-order |
19/0 |
Mathlib/Order/WellFounded.lean |
1 |
1 |
['github-actions'] |
nobody |
0-74500 20 hours ago |
0-74253 20 hours ago |
0-75915 21 hours |
| 37354 |
SnirBroshi author:SnirBroshi |
feat(Order/Defs/PartialOrder): `(a < b ↔ b < a) ↔ (a ≤ b ↔ b ≤ a)` in `Preorder`s |
Relate the predicates {`a < b`, `b < a`, `a ≤ b`, `b ≤ a`}.
---
[](https://gitpod.io/from-referrer/)
|
t-order |
12/0 |
Mathlib/Order/Defs/PartialOrder.lean |
1 |
1 |
['github-actions'] |
nobody |
0-74353 20 hours ago |
0-74107 20 hours ago |
0-75555 20 hours |
| 37351 |
Thmoas-Guan author:Thmoas-Guan |
feat(Algebra/ModuleCat): lemma for projective dimension eq zero |
Projective dimension of nontrivial projective module is zero.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
10/3 |
Mathlib/Algebra/Category/ModuleCat/ProjectiveDimension.lean |
1 |
1 |
['github-actions'] |
nobody |
0-73879 20 hours ago |
0-78708 21 hours ago |
0-78473 21 hours |
| 37355 |
Thmoas-Guan author:Thmoas-Guan |
feat(RingTheory): refactor `smulShortComplex` |
Use `LinearMap.lsmul` for the `f` of `ModuleCat.smulShortComplex`, also providing new APIs for it.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
large-import
|
40/20 |
Mathlib/RingTheory/Regular/Category.lean |
1 |
1 |
['github-actions'] |
nobody |
0-72805 20 hours ago |
0-73722 20 hours ago |
0-73487 20 hours |
| 37356 |
BryceT233 author:BryceT233 |
feat(RingTheory): add three lemmas |
This PR adds the following three lemmas:
* `Polynomial.exists_mul_sq_add_linear_part_eq_eval_add`: this is an alternative version of `Polynomial.eval_add_of_sq_eq_zero` and is used in the lemma `IsLocalRing.eq_of_eval_eq_zero_of_not_isUnit_sub`.
* An instance that an artinian local ring is adic complete with respect to its maximal ideal.
* `IsLocalRing.eq_of_eval_eq_zero_of_not_isUnit_sub`: this is [stacks [06RR]](https://stacks.math.columbia.edu/tag/06RR) which shows the uniqueness of the lift of a simple root given by the henselian property.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
large-import
|
40/4 |
Mathlib/Algebra/Polynomial/Taylor.lean,Mathlib/RingTheory/AdicCompletion/Noetherian.lean,Mathlib/RingTheory/Henselian.lean |
3 |
1 |
['github-actions'] |
nobody |
0-72738 20 hours ago |
0-72711 20 hours ago |
0-72719 20 hours |
| 37258 |
YaelDillies author:YaelDillies |
refactor(Order/OmegaCompletePartialOrder): make `Chain` a `structure` |
It has a different `LE` to `OrderHom`, hence should not be an `abbrev`.
---
[](https://gitpod.io/from-referrer/)
|
t-order |
43/38 |
Mathlib/LinearAlgebra/Span/Basic.lean,Mathlib/Order/Hom/Basic.lean,Mathlib/Order/OmegaCompletePartialOrder.lean,Mathlib/SetTheory/Ordinal/FixedPointApproximants.lean |
4 |
12 |
['YaelDillies', 'YellPika', 'github-actions', 'vihdzp'] |
nobody |
0-61886 17 hours ago |
0-61948 17 hours ago |
3-7570 3 days |
| 36764 |
euprunin author:euprunin |
chore: golf using `grind` |
The goal of this PR is to decrease the number of times lemmas are called explicitly. Any decrease in compilation time is a welcome side effect, although it is not a primary objective.
Trace profiling results (differences <30 ms considered measurement noise):
* `DirectSum.lequivCongrLeft_lof`: unchanged 🎉
* `AnalyticOnNhd.preimage_mem_codiscreteWithin`: unchanged 🎉
* `mem_permsOfList_of_mem`: unchanged 🎉
* `PNat.mod_le`: unchanged 🎉
* `Computation.map_parallel`: unchanged 🎉
* `Sigma.curry_update`: unchanged 🎉
Profiled using `set_option trace.profiler true in`.
---
[](https://gitpod.io/from-referrer/)
|
|
10/42 |
Mathlib/Algebra/DirectSum/Module.lean,Mathlib/Analysis/Analytic/IsolatedZeros.lean,Mathlib/Data/Fintype/Perm.lean,Mathlib/Data/PNat/Basic.lean,Mathlib/Data/Seq/Parallel.lean,Mathlib/Data/Sigma/Basic.lean |
6 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
0-54848 15 hours ago |
0-54873 15 hours ago |
13-30403 13 days |
| 35697 |
gasparattila author:gasparattila |
chore: call `dsimp` in the default tactics of `Homeomorph` fields |
---
This will also reduce the breakage in #35548.
- [x] depends on: #35607
[](https://gitpod.io/from-referrer/)
|
|
11/79 |
Mathlib/Analysis/Normed/Lp/PiLp.lean,Mathlib/Analysis/Normed/Lp/ProdLp.lean,Mathlib/Topology/Algebra/ConstMulAction.lean,Mathlib/Topology/Algebra/Constructions.lean,Mathlib/Topology/Algebra/Constructions/DomMulAct.lean,Mathlib/Topology/Algebra/Group/Basic.lean,Mathlib/Topology/Constructions.lean,Mathlib/Topology/Constructions/SumProd.lean,Mathlib/Topology/Homeomorph/Defs.lean,Mathlib/Topology/Homeomorph/Lemmas.lean |
10 |
6 |
['github-actions', 'grunweg', 'leanprover-radar', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
0-52890 14 hours ago |
4-5617 4 days ago |
4-5382 4 days |
| 37037 |
mariainesdff author:mariainesdff |
feat(RingTheory/PowerSeries/Substitution): add lemmas |
Co-authored by: @AntoineChambert-Loir.
---
- [x] depends on: #36444
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
68/0 |
Mathlib/RingTheory/PowerSeries/Substitution.lean |
1 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
0-51223 14 hours ago |
0-51248 14 hours ago |
0-75552 20 hours |
| 36745 |
EtienneC30 author:EtienneC30 |
feat: a process with independent increments and Gaussian marginals is Gaussian |
The new file only provides one public declaration that corresponds to the title of the PR. The rest of the file is an implementation detail to show that the finite dimensional marginals of a process can be written as a linear map of the increments.
---
- [x] depends on: #36674
- [x] depends on: #36718
[](https://gitpod.io/from-referrer/)
|
brownian
t-measure-probability
file-removed
|
160/1 |
Mathlib.lean,Mathlib/Probability/Distributions/Gaussian/Basic.lean,Mathlib/Probability/Distributions/Gaussian/HasGaussianLaw/Basic.lean,Mathlib/Probability/Independence/Process/HasIndepIncrements/Basic.lean,Mathlib/Probability/Independence/Process/HasIndepIncrements/IsGaussianProcess.lean |
5 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
0-50928 14 hours ago |
0-50931 14 hours ago |
0-51030 14 hours |
| 37362 |
euprunin author:euprunin |
chore: golf using `grind` |
The goal of this PR is to decrease the number of times lemmas are called explicitly. Any decrease in compilation time is a welcome side effect, although it is not a primary objective.
Trace profiling results (differences <30 ms considered measurement noise):
* `✅️ isUnit_iff_not_dvd_char_of_ringChar_ne_zero`: unchanged 🎉
* `✅️ Complex.HadamardThreeLines.sSupNormIm_scale_right`: 499 ms before, 434 ms after 🎉
Profiled using `set_option trace.profiler true in`.
---
[](https://gitpod.io/from-referrer/)
|
|
3/12 |
Mathlib/Algebra/CharP/CharAndCard.lean,Mathlib/Analysis/Complex/Hadamard.lean |
2 |
1 |
['github-actions'] |
nobody |
0-48813 13 hours ago |
0-48883 13 hours ago |
0-48648 13 hours |
| 33715 |
AntoineChambert-Loir author:AntoineChambert-Loir |
feat(LinearAlgebra/Projectivization/Action): prove that the action is 2-transitive and primitive |
Define the action of the special linear group on the projectivization.
Prove that it is 2-transitive and primitive.
---
- [ ] depends on: #33387
- [ ] depends on: #33347
- [ ] depends on: #32757
[](https://gitpod.io/from-referrer/)
|
t-algebra
large-import
label:t-algebra$ |
259/4 |
Mathlib/LinearAlgebra/FiniteDimensional/Basic.lean,Mathlib/LinearAlgebra/FiniteDimensional/Lemmas.lean,Mathlib/LinearAlgebra/Projectivization/Action.lean,Mathlib/LinearAlgebra/Projectivization/Basic.lean,Mathlib/LinearAlgebra/SpecialLinearGroup.lean,Mathlib/LinearAlgebra/Transvection/Basic.lean |
6 |
8 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
nobody |
0-45745 12 hours ago |
0-45499 12 hours ago |
0-48681 13 hours |
| 37343 |
xgenereux author:xgenereux |
feat: add coe instances for spectrums |
This PR adds `Coe` instances for the type `PrimeSpectrum` and similar.
For `P: PrimeSpectrum`, this means that when lean expects `Ideal A`, we can directly write `P : Ideal A` instead of `P.asIdeal`. The `.asIdeal` gets inserted automatically.
At the moment, I haven't set up the `@[coe]` to make delab into `↑P` - it simply shows `P.asIdeal` in the infoview. If we want the `↑P` I can add it.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
9/0 |
Mathlib/RingTheory/DedekindDomain/Ideal/Lemmas.lean,Mathlib/RingTheory/Spectrum/Maximal/Defs.lean,Mathlib/RingTheory/Spectrum/Prime/Defs.lean |
3 |
2 |
['faenuccio', 'github-actions'] |
faenuccio assignee:faenuccio |
0-39697 11 hours ago |
1-17839 1 day ago |
1-17604 1 day |
| 36979 |
Komyyy author:Komyyy |
feat: `↑(Nat.log m n) = Ordinal.log ↑m ↑n` |
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory |
12/3 |
Mathlib/SetTheory/Ordinal/Exponential.lean |
1 |
18 |
['Komyyy', 'github-actions', 'mathlib-merge-conflicts', 'plp127', 'vihdzp'] |
nobody |
0-37736 10 hours ago |
6-41924 6 days ago |
8-7951 8 days |
| 37369 |
joelriou author:joelriou |
feat(Algebra/Category/ModuleCat/Presheaf): the colimit module of a presheaf of modules on a cofiltered category |
---
[](https://gitpod.io/from-referrer/)
|
t-category-theory |
254/0 |
Mathlib.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/ColimitFunctor.lean,Mathlib/CategoryTheory/Filtered/FinallySmall.lean |
3 |
1 |
['github-actions'] |
nobody |
0-36211 10 hours ago |
0-36286 10 hours ago |
0-36051 10 hours |
| 37370 |
joelriou author:joelriou |
feat(Algebra/Category/ModuleCat): the category of presheaves of modules is symmetric |
(When the presheaf of rings is commutative.)
---
[](https://gitpod.io/from-referrer/)
|
t-category-theory
t-algebra
label:t-algebra$ |
32/3 |
Mathlib/Algebra/Category/ModuleCat/Presheaf/Monoidal.lean |
1 |
1 |
['github-actions'] |
nobody |
0-35116 9 hours ago |
0-35203 9 hours ago |
0-34968 9 hours |
| 36501 |
AntoineChambert-Loir author:AntoineChambert-Loir |
feat(RingTheory/GradedAlgebra/Homogeneous/RingQuot): graded structure on the quotient of a graded ring by a homogeneous ideal |
Define the graded structure on the quotient of a graded ring by a homogeneous ideal
Co-authored with: @mariainesdff
(This is WIP because it still needs some `erw`, various instances do not seem to match,
and the overall structure has to be cleaned-up.
- Maybe define the graded structure on the quotient of a graded module by a homogeneous submodule.
- There is also an issue of working with ring congruences rather than with ideals. )
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
600/2 |
Mathlib.lean,Mathlib/Algebra/BigOperators/Group/Finset/Basic.lean,Mathlib/Algebra/DirectSum/Decomposition.lean,Mathlib/Data/DFinsupp/BigOperators.lean,Mathlib/RingTheory/GradedAlgebra/Homogeneous/RingQuot.lean |
5 |
9 |
['AntoineChambert-Loir', 'chrisflav', 'eric-wieser', 'github-actions'] |
nobody |
0-35045 9 hours ago |
0-35126 9 hours ago |
0-34904 9 hours |
| 37107 |
Vierkantor author:Vierkantor |
chore(Tactic): rewrite `positivity` tactic and `@[positivity]` attr docstrings |
This PR rewrites the docstrings for the `positivity` tactic and `@[positivity]` attribute, to consistently match the official style guide, to make sure they are complete while not getting too long.
The goal was to make it clearer what an extension does exactly, and document how to write one in the `@[positivity]` docstring.
---
[](https://gitpod.io/from-referrer/)
|
documentation
t-meta
|
39/8 |
Mathlib/Tactic/Positivity/Core.lean |
1 |
3 |
['Vierkantor', 'github-actions', 'j-loreaux'] |
JovanGerb assignee:JovanGerb |
0-34867 9 hours ago |
0-34919 9 hours ago |
2-58267 2 days |
| 37024 |
vihdzp author:vihdzp |
feat: simplify ℵ₁ ≤ c to ℵ₀ < c |
We simplify `c < ℵ₁` to `c ≤ ℵ₀` and `ℵ₁ ≤ c` to `ℵ₀ < c`, under the logic that there is more to be said about ℵ₀ (the least infinite cardinal, etc.) than there is about ℵ₁, characterized only by being the successor to ℵ₀.
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory
maintainer-merge
|
42/32 |
Counterexamples/Phillips.lean,Mathlib/Order/Filter/CardinalInter.lean,Mathlib/Order/Filter/Cocardinal.lean,Mathlib/SetTheory/Cardinal/Aleph.lean,Mathlib/SetTheory/Cardinal/Pigeonhole.lean |
5 |
8 |
['YaelDillies', 'github-actions', 'vihdzp'] |
nobody |
0-34303 9 hours ago |
0-46801 12 hours ago |
7-47724 7 days |
| 36649 |
JovanGerb author:JovanGerb |
chore(CategoryTheory/Adjunction/Basic): use `dsimp%` in definition |
The theorems `left_triangle_components` and `right_triangle_components` are only well typed up to unfolding the `Functor.id` and `Functor.comp` in `unit` and `counit`. This PR uses `dsimp%` to make sure the implicit arguments have `Functor.id` and `Functor.comp` unfolded where possible.
This came up because `to_dual` complained that `left_triangle_components` and `right_triangle_components` aren't actually dual in `reducible` transparency.
---
[](https://gitpod.io/from-referrer/)
|
t-category-theory |
16/16 |
Mathlib/Algebra/Category/ModuleCat/Sheaf/PushforwardContinuous.lean,Mathlib/AlgebraicTopology/ModelCategory/BifibrantObjectHomotopy.lean,Mathlib/CategoryTheory/Adjunction/Basic.lean,Mathlib/CategoryTheory/Adjunction/Triple.lean,Mathlib/CategoryTheory/Limits/Preserves/Shapes/Zero.lean,Mathlib/CategoryTheory/Monad/Monadicity.lean,Mathlib/CategoryTheory/Shift/Adjunction.lean,Mathlib/Topology/Sheaves/Skyscraper.lean |
8 |
3 |
['JovanGerb', 'github-actions'] |
nobody |
0-34287 9 hours ago |
16-5122 16 days ago |
16-5676 16 days |
| 36892 |
AntoineChambert-Loir author:AntoineChambert-Loir |
feat(RingTheory/MvPowerSeries/NoZeroDivisors): simplify the proof by adding two instances |
Add two instances proposed by @eric-wieser :
- `WellFoundedLT.wellOrderingRel` : `WellOrderingRel.isWellOrder` satisfies `WellFoundedLT`
- `WellFoundedGT.swap` : If a linear order `l` satisfies `WellFoundedLT`, then `l.swap` satisfies `WellFoundedGT`.
They clarify the proof of `MvPowerSeries.NoZeroDivisors` that the power series rings over a ring without zero divisors has no zero divisors.
Ref. [#mathlib4 > help in RingTheory.MvPowerSeries.NeZeroDivisors](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/help.20in.20RingTheory.2EMvPowerSeries.2ENeZeroDivisors/with/580586392)
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
10/3 |
Mathlib/Order/RelClasses.lean,Mathlib/RingTheory/MvPowerSeries/NoZeroDivisors.lean,Mathlib/SetTheory/Cardinal/Order.lean |
3 |
3 |
['JovanGerb', 'github-actions', 'vihdzp'] |
nobody |
0-34265 9 hours ago |
10-55796 10 days ago |
10-55561 10 days |
| 30551 |
smmercuri author:smmercuri |
feat: `NumberField.InfinitePlace.sum_inertiaDeg_eq_finrank` |
If `L/K` are number fields number fields and `v : InfinitePlace K`, then the sum of inertia degrees of `w : InfinitePlace L` lying over `v` is the degree of `L` over `K`.
---
- [x] depends on: #27978
- [x] depends on: #27974
- [x] depends on: #29942
- [x] depends on: #29946
- [x] depends on: #36132
- [x] depends on: #36257
- [x] depends on: #36268
- [x] depends on: #36353
- [x] depends on: #36393
[](https://gitpod.io/from-referrer/)
|
t-number-theory |
196/7 |
Mathlib.lean,Mathlib/NumberTheory/NumberField/Completion/InfinitePlace.lean,Mathlib/NumberTheory/NumberField/Completion/LiesOverInstances.lean,Mathlib/NumberTheory/NumberField/Completion/Ramification.lean |
4 |
9 |
['github-actions', 'grunweg', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
nobody |
0-34226 9 hours ago |
9-58239 9 days ago |
9-58014 9 days |
| 37172 |
DavidLedvinka author:DavidLedvinka |
feat(Analysis): add resolvent derivatives in the algebra component |
I would take suggestions for better names. |
t-analysis |
30/5 |
Mathlib/Analysis/Normed/Algebra/GelfandFormula.lean |
1 |
5 |
['DavidLedvinka', 'github-actions', 'j-loreaux'] |
nobody |
0-34202 9 hours ago |
4-7511 4 days ago |
5-13223 5 days |
| 36721 |
yoh-tanimoto author:yoh-tanimoto |
refactor(LinearAlgebra/LinearPMap): generalize (partially) to semilinear maps |
replace `LinearPMap.toFun : domain →ₗ[R] F` by `domain →ₛₗ[σ] F`, in order to allow semilinear maps, in particular conjugate-linear maps.
TODO: to define graph of a semilinear map, one has to consider twisted modules #35877
see discussion https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/.60SemilinearPMap.60/with/576451756 |
t-algebra label:t-algebra$ |
183/159 |
Mathlib/Algebra/Module/Injective.lean,Mathlib/Analysis/Convex/Cone/Extension.lean,Mathlib/Analysis/LocallyConvex/Separation.lean,Mathlib/LinearAlgebra/LinearPMap.lean,Mathlib/Topology/Algebra/Module/LinearPMap.lean |
5 |
13 |
['botbaki-review', 'github-actions', 'mathlib-merge-conflicts', 'mcdoll', 'yoh-tanimoto'] |
nobody |
0-34192 9 hours ago |
5-2569 5 days ago |
14-41151 14 days |
| 37177 |
JovanGerb author:JovanGerb |
perf(Analysis/Normed/Module/Ball/Action): add `SMul` shortcut instances |
There was an unexpected slowdown after I cleaned up the instances on `UnitDisc`. This PR gets the file back up to speed by adding some shortcut instances.
I tried to generalize this solution to other instances, but sadly it had no significant benefits there.
---
[](https://gitpod.io/from-referrer/)
|
tech debt
t-analysis
|
16/6 |
Mathlib/Analysis/Normed/Module/Ball/Action.lean |
1 |
6 |
['JovanGerb', 'github-actions', 'leanprover-radar', 'mathlib-bors'] |
nobody |
0-34168 9 hours ago |
5-4172 5 days ago |
5-3956 5 days |
| 36416 |
j-loreaux author:j-loreaux |
feat(Analysis/CStarAlgebra): norms of sums of orthogonal selfadjoint elements |
---
- [ ] depends on: #36407
[](https://gitpod.io/from-referrer/)
|
t-analysis |
84/0 |
Mathlib/Algebra/Star/BigOperators.lean,Mathlib/Analysis/CStarAlgebra/GelfandDuality.lean |
2 |
8 |
['github-actions', 'grunweg', 'j-loreaux', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'themathqueen'] |
nobody |
0-33803 9 hours ago |
5-19211 5 days ago |
5-37321 5 days |
| 36592 |
Vierkantor author:Vierkantor |
chore(Tactic): rewrite `introv` tactic docstring |
This PR rewrites the docstrings for the `introv` tactic, to consistently match the official style guide, to make sure they are complete while not getting too long.
In particular, I wanted to clarify exactly what `introv` does and does not introduce, depending on the list of names given to it.
---
[](https://gitpod.io/from-referrer/)
|
documentation
t-meta
|
22/19 |
Mathlib/Tactic/Basic.lean |
1 |
10 |
['Vierkantor', 'dwrensha', 'github-actions', 'joneugster'] |
dwrensha assignee:dwrensha |
0-33138 9 hours ago |
0-33138 9 hours ago |
14-45127 14 days |
| 37371 |
kebekus author:kebekus |
feat: formulate identity principle for meromorphic functions on topologically perfect subsets |
Add a simple, but useful, reformulation of the identity principle for meromorphic functions on topologically perfect subsets. To facilitate application, establish (closures of) open subsets in perfect topological spaces are preperfect sets.
---
[](https://gitpod.io/from-referrer/)
|
|
43/0 |
Mathlib/Analysis/Meromorphic/Divisor.lean,Mathlib/Analysis/Meromorphic/IsolatedZeros.lean,Mathlib/Topology/Perfect.lean |
3 |
1 |
['github-actions'] |
nobody |
0-32495 9 hours ago |
0-32495 8 hours ago |
0-32260 8 hours |
| 37010 |
pion2024 author:pion2024 |
`Sl2`update: add theorem `finrank_weightSpace_eq_one_of_isIrreducible` |
# Background:
I am a 2nd year undergrad student in mathematics currently self-teaching Lie algebra and representation theory.
Before starting the formalization, I searched for related keywords on Zulip and in the GitHub issues and commits. As far as I could tell, there were no existing results or ongoing attempts before I started.
All feedback is welcome. Even a quick check on the statement design/an idea on the generalization (cf Limitations below) would be incredibly helpful.
# Overview
In this PR, I added the new section `IsAlgClosedIrreducible` which formalizes the well-known theorem `finrank_weightSpace_eq_one_of_isIrreducible` for the Lie algebra $\mathfrak{sl}_2$ step by step. It proves that for a finite-dimensional irreducible representation of $\mathfrak{sl}_2$ over an algebraically closed field $K$ of characteristic zero, every non-trivial weight space has a dimension of exactly 1.
# Formalization Structure :
Instead of relying on explicit finite sums (`Finset.sum`) and manipulating coefficients, I heavily leverage Mathlib's abstractions in Submodule Lattice Theory and Coordinate-free Linear Algebra. The formalization proceeds in the following logic:
1. Existence of a Primitive Vector (`exists_primitiveVector`): I construct a primitive (highest-weight) vector by showing that repeated applications of the raising operator $e$ must eventually yield zero due to the finite-dimensionality of $M$ and the linear independence of eigenvectors corresponding to distinct eigenvalues.
2. The span of $f$-Tower as a Lie Submodule equals to the whole space (`fTowerLieSubmodule_eq_top`): I define the $f$-tower submodule as the $K$-span of $\{f^k m \mid k \in \mathbb{N}\}$. By proving its closure under the action of $f, h$, and $e$, I establish it as a Lie submodule. Since $M$ is irreducible, this submodule must be the entire space ($\top$).
3. Submodule Lattice Operations (`exists_mem_fTower_of_weightSpace_ne_bot`): To prove that every weight in $M$ is of the form $\mu_0 - 2k$, I use lattice operations (iSup, inf, and Disjoint) to avoid element-wise tracking. Since the $f$-tower spans $M$, the supremum of its weight spaces is $\top$. By leveraging `Module.End.eigenspaces_iSupIndep`, I show that any arbitrary non-trivial weight space would have a trivial intersection with $\top$ if its weight didn't belong to the sequence, yielding a contradiction.
4. Dimension Calculation via Basis Equivalence (`finrank_weightSpace_eq_one_of_isIrreducible`): Finally, I construct a basis from the non-zero elements of the $f$-tower. To show the weight space is 1-dimensional, I use `Basis.equivFun` to compare coefficients algebraically. This avoids heavy manual indexing and index-shifting, proving that any vector in the weight space $\mu_0 - 2k$ is merely a scalar multiple of $f^k m$.
# Use of AI:
I used Gemini 3.1 Pro for tactics, theorems, improvement suggestions, and error explanations. I fully understand and can vouch for all the modifications I have made to the file.
# Limitations:
I only managed to formalize the finite-dimensional version, although the theorem also holds in the infinite-dimensional case. In the infinite case the existence of a primitive vector is not guaranteed. A quick search suggests that we might need heavy tools like Casimir operators and the universal enveloping algebra, which are totally beyond my current level. I am looking into it, but since there is a significant mathematical gap, I thought it would be best to get this finite-dimensional version merged first. |
new-contributor
t-algebra
large-import
label:t-algebra$ |
354/0 |
Mathlib/Algebra/Lie/Sl2.lean |
1 |
4 |
['github-actions', 'mathlib-bors'] |
nobody |
0-32084 8 hours ago |
0-84468 23 hours ago |
0-85545 23 hours |
| 37373 |
IvanRenison author:IvanRenison |
feat(Combinatorics/SimpleGraph/Sum): add `LocallyFinite (G ⊕g H)` instance |
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
11/0 |
Mathlib/Combinatorics/SimpleGraph/Sum.lean |
1 |
3 |
['SnirBroshi', 'github-actions', 'themathqueen'] |
nobody |
0-29999 8 hours ago |
0-33482 9 hours ago |
0-33247 9 hours |
| 36869 |
harahu author:harahu |
doc(Computability/RegularExpressions): tidy docstrings |
Issues found and fixed by Codex.
---
[](https://gitpod.io/from-referrer/)
|
t-computability
maintainer-merge
|
6/6 |
Mathlib/Computability/RegularExpressions.lean |
1 |
6 |
['YaelDillies', 'github-actions', 'harahu'] |
nobody |
0-27367 7 hours ago |
0-27411 7 hours ago |
11-10781 11 days |
| 37271 |
Whysoserioushah author:Whysoserioushah |
chore(RepresentationTheory/FiniteIndex): generalize universes |
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
41/39 |
Mathlib/RepresentationTheory/FiniteIndex.lean |
1 |
19 |
['Whysoserioushah', 'eric-wieser', 'github-actions', 'leanprover-radar', 'riccardobrasca'] |
nobody |
0-25711 7 hours ago |
0-44064 12 hours ago |
2-261 2 days |
| 36491 |
aditya-ramabadran author:aditya-ramabadran |
feat(Analysis/Distribution): define Dirac delta distribution |
Defines Dirac delta distribution (classical)
Closes #36464
* Note: Used `continuous_eval_const` in defining Delta in Distribution.lean, rather than the way it's done in TemperedDistribution.lean (which could also work)
* Also chose to define for $x \in \Omega$ rather than all $x \in E$, can make the other way if that's better?
---
**Testing**:
```lean
example (x : E) : Continuous fun φ : 𝓓^{n}(Ω, F) => φ x :=
continuous_eval_const x
```
Lean builds successfully
[](https://gitpod.io/from-referrer/)
|
t-analysis
new-contributor
|
32/0 |
Mathlib/Analysis/Distribution/ContDiffMapSupportedIn.lean,Mathlib/Analysis/Distribution/Distribution.lean,Mathlib/Analysis/Distribution/TestFunction.lean |
3 |
12 |
['ADedecker', 'aditya-ramabadran', 'github-actions'] |
j-loreaux assignee:j-loreaux |
0-25184 6 hours ago |
0-25201 6 hours ago |
6-8260 6 days |
| 33375 |
kex-y author:kex-y |
feat(Probability): Local and stable properties |
Defines local and stable properties which is useful for local martingales.
Co-authored-by: @RemyDegenne
---
- [x] depends on: #33371
- [x] depends on: #33374
- [x] depends on: #33372
[](https://gitpod.io/from-referrer/)
|
brownian
t-measure-probability
|
383/0 |
Mathlib.lean,Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/Probability/Process/LocalProperty.lean |
3 |
68 |
['EtienneC30', 'github-actions', 'kex-y', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
EtienneC30 assignee:EtienneC30 |
0-24346 6 hours ago |
0-24346 6 hours ago |
9-56620 9 days |
| 36895 |
loefflerd author:loefflerd |
feat(Analysis/Complex/UpperHalfPlane): SL(2, R) action is proper |
Show that the actions of `SL(2, ℝ)` and `GL(2, ℝ)` on the upper half-plane are continuous in both variables, and the action of `SL(2, ℝ)` is proper.
---
- [ ] depends on: #36904
- [ ] depends on: #36942
[](https://gitpod.io/from-referrer/)
|
t-analysis |
177/0 |
Mathlib.lean,Mathlib/Algebra/Group/Action/Pretransitive.lean,Mathlib/Analysis/Complex/UpperHalfPlane/MoebiusAction.lean,Mathlib/Analysis/Complex/UpperHalfPlane/ProperAction.lean,Mathlib/Topology/Algebra/Group/Matrix.lean |
5 |
10 |
['ADedecker', 'github-actions', 'loefflerd', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
j-loreaux assignee:j-loreaux |
0-22070 6 hours ago |
6-2308 6 days ago |
6-9356 6 days |
| 37380 |
tb65536 author:tb65536 |
feat(RingTheory/Localization/BaseChange): tensor product commutes with localizations |
This PR adds a few isomorphisms for tensor products commuting with localizations.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
t-algebra
label:t-algebra$ |
51/0 |
Mathlib/RingTheory/Localization/BaseChange.lean |
1 |
1 |
['github-actions'] |
nobody |
0-22011 6 hours ago |
0-22011 6 hours ago |
0-21778 6 hours |
| 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`.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-combinatorics
|
688/0 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/LatinSquare.lean,docs/references.bib |
3 |
73 |
['SnirBroshi', 'cjrl', 'eric-wieser', 'ghseeli', 'github-actions', 'vlad902'] |
nobody |
0-21926 6 hours ago |
2-77670 2 days ago |
12-61364 12 days |
| 37383 |
vihdzp author:vihdzp |
chore(SetTheory/Ordinal/FixedPointApproximants): simpler definition for `lfpApprox` |
We simplify the definition of `Ordinal.lfpApprox` - the old definition wasn't even simp-normal. We then golf the entire API using it.
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory
t-order
|
67/120 |
Mathlib/SetTheory/Ordinal/FixedPointApproximants.lean |
1 |
1 |
['github-actions'] |
nobody |
0-21283 5 hours ago |
0-21258 5 hours ago |
0-21157 5 hours |
| 37382 |
tb65536 author:tb65536 |
feat(RingTheory/TensorProduct/Quotient): add flipped version of `tensorQuotientEquiv` |
This PR adds the isomorphism
`(A ⧸ I) ⊗[R] T ≃ₐ[S] (A ⊗[R] T) ⧸ I.map (algebraMap A (A ⊗[R] T))`
which is just the flipped version of the existing isomorphism
`A ⊗[R] (T ⧸ I) ≃ₐ[S] (A ⊗[R] T) ⧸ I.map includeRight`.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
t-algebra
label:t-algebra$ |
19/0 |
Mathlib/RingTheory/TensorProduct/Quotient.lean |
1 |
1 |
['github-actions'] |
nobody |
0-21023 5 hours ago |
0-21023 5 hours ago |
0-20790 5 hours |
| 37372 |
vihdzp author:vihdzp |
chore: golf `Cardinal.mul_eq_self` |
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory |
30/42 |
Mathlib/SetTheory/Cardinal/Arithmetic.lean |
1 |
1 |
['github-actions'] |
nobody |
0-21002 5 hours ago |
0-34460 9 hours ago |
0-34225 9 hours |
| 36283 |
Vierkantor author:Vierkantor |
chore(Tactic/GRewrite): rewrite `grw` family tactic docstrings |
This PR rewrites the docstrings for tactics in the `grw` family: `grw`, `grewrite`, `apply_rw`, `apply_rewrite`, `nth_rw` and `nth_rewrite`, to consistently match the official style guide, to make sure they are complete while not getting too long.
The `grw` tactic docstring was nice and complete, but the others were very brief and needed expansion (especially since it took me quite some time to understand the motivation behind `apply_rw`).
---
[](https://gitpod.io/from-referrer/)
|
documentation
t-meta
|
150/23 |
Mathlib/Tactic/GRewrite/Elab.lean |
1 |
20 |
['JovanGerb', 'Vierkantor', 'github-actions', 'joneugster'] |
adamtopaz assignee:adamtopaz |
0-20881 5 hours ago |
0-35421 9 hours ago |
21-28420 21 days |
| 37375 |
NoneMore author:NoneMore |
feat(SetTheory/Ordinal/FixedPointApproximants): add zero and limit lemmas for approximants |
Add helper lemmas `lfpApprox_zero`, `lfpApprox_limit`, and the corresponding `gfpApprox` lemmas by duality.
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory
new-contributor
|
26/0 |
Mathlib/SetTheory/Ordinal/FixedPointApproximants.lean |
1 |
7 |
['github-actions', 'vihdzp'] |
nobody |
0-20043 5 hours ago |
0-32325 8 hours ago |
0-32090 8 hours |
| 37115 |
tb65536 author:tb65536 |
feat(RingTheory/Flat/Basic): `Submodule.toBaseChange` as a `LinearEquiv` |
If the extensions of rings is flat, then `Submodule.toBaseChange` becomes a `LinearEquiv`.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
t-algebra
label:t-algebra$ |
20/0 |
Mathlib/RingTheory/Flat/Basic.lean |
1 |
3 |
['github-actions', 'robin-carlier', 'tb65536'] |
nobody |
0-20011 5 hours ago |
0-20038 5 hours ago |
3-14863 3 days |
| 37374 |
NoneMore author:NoneMore |
feat(Topology/DerivedSet): add relative derived set lemmas |
Add `relDerivedSet`, `relDerivedSet_subset`, and `IsClosed.relDerivedSet_eq`.
---
[](https://gitpod.io/from-referrer/)
|
t-topology
new-contributor
|
12/0 |
Mathlib/Topology/DerivedSet.lean |
1 |
3 |
['github-actions', 'vihdzp'] |
nobody |
0-19808 5 hours ago |
0-32371 8 hours ago |
0-32136 8 hours |
| 37322 |
gw90 author:gw90 |
chore: minor edits to GNS construction files |
---
Fixing a typo in a docstring and making some edits for concision. No API changes.
|
new-contributor |
26/23 |
Mathlib/Analysis/CStarAlgebra/GelfandNaimarkSegal.lean,Mathlib/Topology/Algebra/LinearMapCompletion.lean |
2 |
5 |
['github-actions', 'themathqueen'] |
nobody |
0-19462 5 hours ago |
0-75655 20 hours ago |
2-6965 2 days |
| 36560 |
harahu author:harahu |
doc(FieldTheory): fix typos |
Found by `PyCharm`'s code inspection tool. Fixes were made by Codex.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
15/14 |
Mathlib/FieldTheory/IntermediateField/Adjoin/Algebra.lean,Mathlib/FieldTheory/Minpoly/MinpolyDiv.lean,Mathlib/FieldTheory/RatFunc/Luroth.lean,Mathlib/FieldTheory/SeparablyGenerated.lean |
4 |
7 |
['artie2000', 'github-actions', 'harahu', 'joelriou', 'mathlib-merge-conflicts', 'vihdzp'] |
joelriou assignee:joelriou |
0-18211 5 hours ago |
0-18211 4 hours ago |
17-83747 17 days |
| 36549 |
j-loreaux author:j-loreaux |
refactor: use `IsMulCommutative` ubiquitously for subobjects |
[#mathlib4 > commutativity of subobjects](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/commutativity.20of.20subobjects/with/578039488)
The algebraic hierarchy is designed so that commutativity (e.g., of multiplication) is bundled
into the type class, so that we have, for example `Group` and `CommGroup`, `Ring` and `CommRing`,
etc.
It is often the case that one may desire to work with a commutative subobject inside an
ambient noncommutative type. In cases like `Subgroup.center` or `Subring.center`, the subobject is
*always* commutative, and in these cases one should simply imbue those subobjects (coerced to
`Type`) with the appropriate `Comm*` instance. However, in other cases, the commutativity of the
subobject may be conditional on commutativity of some other object. For example,
`Subgroup.closure s` is not always commutative, but it is when `s` is a commutative subset.
Likewise, if `S : Subgroup G` is a commutative subgroup, then `S.topologicalClosure` is also
commutative.
For such scenarios, users should prefer to use the unbundled `IsMulCommutative` typeclass, and to
provide theorems such as:
```lean
theorem isMulCommutative_closure {G : Type*} [Group G] {k : Set G}
(hcomm : ∀ x ∈ k, ∀ y ∈ k, x * y = y * x) :
IsMulCommutative (closure k)
```
or even *instances* such as
```lean
instance Subgroup.instIsMulCommutative_closure {S G : Type*} [Group G] [SetLike S G]
[MulMemClass S G] (s : S) [IsMulCommutative s] :
IsMulCommutative (closure (s : Set G))
```
and
```lean
instance Subgroup.isMulCommutative_topologicalClosure [T2Space G] (s : Subgroup G)
[IsMulCommutative s] : IsMulCommutative s.topologicalClosure
```
Note that we prefer to name these instances manually because they are occasionally useful as
theorems. For example, the proof of the topological closure instance for subgroups above is proved
immediately from the one for monoids via: `s.toSubmonoid.isMulCommutative_topologicalClosure`.
In practice, we wish to be able to use the library of theorems about (bundled) commutativity for
subobjects as well, and so we also provide instances which take as input the unbundled
`Group G` and `IsMulCommutative G` and produce the bundled `CommGroup G`. However, to avoid
deleterious effects to type class synthesis for bundled commutativity (by forcing Lean to search
the entirery of both the bundled and unbundled hierarchies), these instances are only
available inside the `IsMulCommutative` scope and are simultaneously given the very low priority
`50`.
---
- [ ] depends on: #36546
- [ ] depends on: #36547
- [ ] depends on: #36548
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
576/133 |
Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean,Mathlib/Algebra/Algebra/Subalgebra/Lattice.lean,Mathlib/Algebra/Group/Defs.lean,Mathlib/Algebra/Group/Subgroup/Defs.lean,Mathlib/Algebra/Group/Subgroup/Map.lean,Mathlib/Algebra/Group/Subsemigroup/Defs.lean,Mathlib/Algebra/HierarchyDesign.lean,Mathlib/Algebra/Ring/Defs.lean,Mathlib/Algebra/Ring/Subring/Basic.lean,Mathlib/Algebra/Ring/Subsemiring/Basic.lean,Mathlib/Algebra/Star/NonUnitalSubalgebra.lean,Mathlib/Algebra/Star/Subalgebra.lean,Mathlib/CategoryTheory/Center/Linear.lean,Mathlib/CategoryTheory/Center/NegOnePow.lean,Mathlib/CategoryTheory/Monoidal/Cartesian/Grp_.lean,Mathlib/CategoryTheory/Monoidal/Cartesian/Mon_.lean,Mathlib/Data/ZMod/QuotientGroup.lean,Mathlib/FieldTheory/Galois/Abelian.lean,Mathlib/GroupTheory/Focal.lean,Mathlib/GroupTheory/IsPerfect.lean,Mathlib/GroupTheory/Schreier.lean,Mathlib/GroupTheory/SchurZassenhaus.lean,Mathlib/GroupTheory/SpecificGroups/Cyclic.lean,Mathlib/GroupTheory/SpecificGroups/ZGroup.lean,Mathlib/GroupTheory/Subgroup/Centralizer.lean,Mathlib/GroupTheory/Submonoid/Centralizer.lean,Mathlib/GroupTheory/Subsemigroup/Centralizer.lean,Mathlib/GroupTheory/Transfer.lean,Mathlib/NumberTheory/NumberField/CMField.lean,Mathlib/RepresentationTheory/AlgebraRepresentation/Basic.lean,Mathlib/RepresentationTheory/Irreducible.lean,Mathlib/RingTheory/NonUnitalSubring/Basic.lean,Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean,Mathlib/Topology/Algebra/Algebra.lean,Mathlib/Topology/Algebra/NonUnitalAlgebra.lean,Mathlib/Topology/Algebra/NonUnitalStarAlgebra.lean,Mathlib/Topology/Algebra/StarSubalgebra.lean |
37 |
5 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
ocfnash assignee:ocfnash |
0-15014 4 hours ago |
0-15035 4 hours ago |
11-240 11 days |
| 36638 |
CoolRmal author:CoolRmal |
feat: if `f` lies in a closed convex set `s` almost everywhere, then its conditional expectation also lies in `s` almost everywhere |
---
- [x] depends on: #27953
[](https://gitpod.io/from-referrer/)
|
t-measure-probability |
54/3 |
Mathlib/MeasureTheory/Function/ConditionalExpectation/CondJensen.lean |
1 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
EtienneC30 assignee:EtienneC30 |
0-14961 4 hours ago |
11-82356 11 days ago |
11-82621 11 days |
| 35830 |
AntoineChambert-Loir author:AntoineChambert-Loir |
feat(Data/Nat/Choose/Multinomial): multinomial coefficients |
Define the multinomial coefficients, a variant of `Nat.multinomial`.
- redefine `Multiset.multinomial`.
Given a multiset `m` of natural numbers, `m.multinomial` is the
multinomial coefficient defined by (m.sum) ! / ∏ i ∈ m, m i !.
As an example, `Multiset.multinomial {1, 2, 2} = 30`.
This is the exponent of $x y^2 z^2$ in $(x+y+z)^5$.
This should not be confused with the existing `Multiset.multinomial` which gives a different answer,
for example, `Multiset.multinomial {1, 2, 2} = 3`. This function is renamed as `Multiset.countPerms`.
- `Multiset.multinomial_cons` proves that
`(x ::ₘ m).multinomial = Nat.choose (x + m.sum) x * m.multinomial`
- `Multiset.multinomial_add` proves that
`(m + m').multinomial = Nat.choose (m + m').sum m.sum * m.multinomial * m'.multinomial`
co-authored with @mariainesdff
---
- [x] depends on: #36611
[](https://gitpod.io/from-referrer/)
|
t-data
blocked-by-core-release
|
122/1 |
Mathlib/Data/List/ToFinsupp.lean,Mathlib/Data/Nat/Choose/Multinomial.lean |
2 |
25 |
['AntoineChambert-Loir', 'github-actions', 'joneugster', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
joneugster assignee:joneugster |
0-14863 4 hours ago |
0-46433 12 hours ago |
20-86398 20 days |
| 36378 |
EtienneC30 author:EtienneC30 |
refactor: define the geometric distribution via a sum of Dirac masses |
Change the definition of `geometricMeasure p` to be
`Measure.sum (fun n ↦ ENNReal.ofReal ((1 - p) ^ n * p)) • (.dirac n))`
instead of using `PMF`. This allows to directly use API for measures instead of having to develop an API for `PMF`, which anyway is defined as a sum of Dirac masses.
Also add some results about integrals against the geometricMeasure.
---
- [x] depends on: #36355
[](https://gitpod.io/from-referrer/)
|
t-measure-probability
large-import
|
135/25 |
Mathlib/MeasureTheory/Measure/Dirac.lean,Mathlib/Probability/Distributions/Geometric.lean |
2 |
40 |
['DavidLedvinka', 'EtienneC30', 'b-mehta', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'pfaffelh'] |
RemyDegenne assignee:RemyDegenne |
0-14717 4 hours ago |
5-53232 5 days ago |
21-32691 21 days |
| 36495 |
AlexKontorovich author:AlexKontorovich |
chore(Finset/NatDivisors): refactor `card_divisors_mul` and `sum_divisors_mul` to not rely on `ArithmeticFunction` |
`Nat.Coprime.card_divisors_mul` and `Nat.Coprime.sum_divisors_mul` are moved to not rely on `ArithmeticFunction`. See zulip discussion here: [#mathlib4 > Library design question, e.g.`Nat.Coprime.card_divisors_mul` @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Library.20design.20question.2C.20e.2Eg.2E.60Nat.2ECoprime.2Ecard_divisors_mul.60/near/577769899)
Co-authored-by: Ziyan Wei and Aayush Rajasekaran
---
[](https://gitpod.io/from-referrer/)
|
large-import
t-number-theory
t-algebra
label:t-algebra$ |
45/14 |
Mathlib/Algebra/GCDMonoid/Basic.lean,Mathlib/Data/Finset/NatDivisors.lean,Mathlib/NumberTheory/ArithmeticFunction/Misc.lean |
3 |
2 |
['AlexKontorovich', 'github-actions'] |
alreadydone assignee:alreadydone |
0-14442 4 hours ago |
19-14457 19 days ago |
19-14222 19 days |
| 35710 |
tb65536 author:tb65536 |
feat(AlgebraicGeometry/EllipticCurve/Reduction): define split multiplicative reduction |
This PR adds the definition of split multiplicative reduction.
---
- [x] depends on: #35709
[](https://gitpod.io/from-referrer/)
|
t-algebra
t-algebraic-geometry
t-number-theory
label:t-algebra$ |
13/0 |
Mathlib/AlgebraicGeometry/EllipticCurve/Reduction.lean |
1 |
8 |
['Multramate', 'github-actions', 'mathlib-dependent-issues', 'riccardobrasca', 'tb65536'] |
riccardobrasca assignee:riccardobrasca |
0-13959 3 hours ago |
11-44672 11 days ago |
11-44482 11 days |
| 36478 |
TJHeeringa author:TJHeeringa |
feat(Analysis/Matrix): Added Schur's product |
Added Schur's product, i.e. the Hadamard product of two finite positive semi-definite matrices is again a positive semi-definite matrix.
---
[](https://gitpod.io/from-referrer/)
|
t-analysis
new-contributor
|
32/0 |
Mathlib/Analysis/Matrix/Order.lean,Mathlib/LinearAlgebra/Matrix/Hermitian.lean |
2 |
16 |
['TJHeeringa', 'eric-wieser', 'github-actions', 'j-loreaux', 'themathqueen'] |
urkud assignee:urkud |
0-13021 3 hours ago |
0-57978 16 hours ago |
2-38979 2 days |
| 37319 |
PrParadoxy author:PrParadoxy |
feat(Algebra/Field/Power): weaken assumptions of Odd.neg_zpow |
The lemmas `Even.neg_zpow` and `Even.neg_one_zpow` are stated assuming
`[DivisionMonoid α] [HasDistribNeg α]`. However, `Odd.neg_zpow` and
`Odd.neg_one_zpow` currently assume the stronger `[DivisionRing α]`.
This PR weakens the assumption of the `Odd` lemmas to match their `Even`
counterparts.
---
According to the docstring, the purpose of `Mathlib.Algebra.Field.Power`
is to define `Field` with minimal imports. But after this PR, Power.lean
does not rely on `Mathlib.Algebra.Field.Defs` any more. Arguably, it
could be deprecated. The two results in the file could be stated in
`Mathlib.Algebra.Ring.Int.Parity` without any extra imports. Should we implement
this in the current or an additional PR?
Examples:
```
-- these all work:
example (z : ℤ) (h : Even z) : (-1 : ℂ)^z = 1 := Even.neg_one_zpow h
example (z : ℤ) (h : Even z) : (-1 : unitary ℂ)^z = 1 := Even.neg_one_zpow h
example (z : ℤ) (h : Odd z) : (-1 : ℂ)^z = -1 := Odd.neg_one_zpow h
-- but this fails without the PR:
example (z : ℤ) (h : Odd z) : (-1 : unitary ℂ)^z = -1 := Odd.neg_one_zpow h
```
[](https://gitpod.io/from-referrer/) |
new-contributor |
16/10 |
Mathlib/Algebra/Field/Power.lean,Mathlib/Tactic/FieldSimp/Lemmas.lean |
2 |
6 |
['eric-wieser', 'github-actions', 'goliath-klein'] |
nobody |
0-12468 3 hours ago |
2-18242 2 days ago |
2-20806 2 days |
| 37338 |
vihdzp author:vihdzp |
chore(Logic/Equiv/Fin/Rotate): generalize from `Fin (n + 1)` to `Fin n` |
We can infer `NeZero n` if we already have `i : Fin n`.
---
[](https://gitpod.io/from-referrer/)
|
t-data
t-logic
maintainer-merge
|
27/16 |
Mathlib/Geometry/Polygon/Basic.lean,Mathlib/Logic/Equiv/Fin/Rotate.lean |
2 |
6 |
['github-actions', 'grunweg', 'leanprover-radar'] |
nobody |
0-12223 3 hours ago |
1-24053 1 day ago |
1-25520 1 day |
| 37388 |
xgenereux author:xgenereux |
feat(FunctionField): constant extensions are finite |
Let `F` be a function field over `Fq`. If `E` is an algebraic extension of `Fq` which is contained in `F` then it is finite over `Fq`.
To implement this, we model the following tower of extensions:
```
E(X) - F
/ \ |
E[X] Fq(X)
/ \ /
E Fq[X]
\ /
Fq
```
by assuming algebra hypotheses on the level of `Fq[X]` and `E[X]` and use
```
attribute [local instance] Polynomial.algebra
```
together with the scoped `RatFunc` instances `RatFunc.liftAlgebra` and `RatFunc.isScalarTower_liftAlgebra` to obtain the appropriate algebra instances from `RatFunc Fq/E`.
One annoying thing is that using these instances creates a diamond with `RatFunc.instSMulOfFractionRingPolynomial`, I am working on trying to find a fix but don't have anything at the moment. I am open to suggestions!
Co-authored-by: María Inés de Frutos Fernández <[mariaines.dff@gmail.com](mailto:mariaines.dff@gmail.com)>
---
[](https://gitpod.io/from-referrer/)
|
t-number-theory |
64/0 |
Mathlib/NumberTheory/FunctionField.lean,docs/references.bib |
2 |
1 |
['github-actions'] |
nobody |
0-10580 2 hours ago |
0-10637 2 hours ago |
0-10679 2 hours |
| 36262 |
CBirkbeck author:CBirkbeck |
feat(NumberTheory/ModularForms): modular discriminant as a cusp form |
## Summary
This PR constructs the modular discriminant `Δ(z) = η(z)^24` and proves it is a cusp form of weight 12 and level 1. The dominated convergence for infinite products is proved by reducing to the additive Tannery theorem via the formal expansion `∏ (1 + f i) = ∑ₛ ∏ᵢ∈ₛ f i`.
### New files
- `Mathlib/Analysis/Normed/Ring/InfiniteProd.lean`: Dominated convergence theorem for infinite products of the form `∏' k, (1 + f n k)` in a complete normed commutative ring, proved via Tannery's theorem.
- `Mathlib/NumberTheory/ModularForms/Discriminant.lean`: The modular discriminant `Δ`, its q-expansion, non-vanishing, and slash-invariance under the generators of SL(2,ℤ).
### New declarations in existing files
- `Real.prod_one_add_le_exp_sum` in `Mathlib/Analysis/Complex/Exponential.lean`: `∏ᵢ∈ₛ (1 + f i) ≤ exp(∑ᵢ∈ₛ f i)` for nonneg `f`.
- `summable_finset_prod_of_summable_nonneg` in `Mathlib/Analysis/SpecialFunctions/Log/Summable.lean`: if `f` is nonneg and summable, then `∑ₛ ∏ᵢ∈ₛ f i` is summable.
- `summable_finset_prod_of_summable_norm` in `Mathlib/Analysis/SpecialFunctions/Log/Summable.lean`: normed ring version of the above.
### Key results
- `ModularForm.discriminantCuspForm`: `Δ` bundled as a `CuspForm (Γ(1)) 12`.
- `tendsto_tprod_one_add_of_dominated_convergence`: Dominated convergence for infinite products.
### Note
- `ModularForms/Delta.lean` has been renamed to `ModularForms/Discriminant.lean` to be more in line with the literature.
--- |
maintainer-merge |
312/152 |
Mathlib.lean,Mathlib/Analysis/Complex/Exponential.lean,Mathlib/Analysis/Normed/Ring/InfiniteProd.lean,Mathlib/Analysis/SpecialFunctions/Log/Summable.lean,Mathlib/NumberTheory/ModularForms/Cusps.lean,Mathlib/NumberTheory/ModularForms/Delta.lean,Mathlib/NumberTheory/ModularForms/Discriminant.lean,Mathlib/NumberTheory/ModularForms/Identities.lean,Mathlib/NumberTheory/ModularForms/LevelOne.lean |
9 |
23 |
['CBirkbeck', 'github-actions', 'loefflerd', 'mathlib-merge-conflicts', 'wwylele'] |
loefflerd assignee:loefflerd |
0-9702 2 hours ago |
7-28388 7 days ago |
10-70862 10 days |
| 36752 |
Ljon4ik4 author:Ljon4ik4 |
feat: Alternative definition of a tensor product for an algebra |
Let $A$ be an $R$-algebra and $M$ and $N$ $A$-modules.
Then the tensor product $M\otimes_A N$ can be constructed as a quotient of $M\otimes_R N$ by the submodule generated by elements of the shape $am\otimes n - m\otimes an$. This PR realizes this construction and shows that it is isomorphic to the general definition of $M\otimes_A N$.
As one consequence we obtain a description of the kernel of `mapOfCompatibleSMul'` as a span of elements of the shape $am\otimes n - m\otimes an$.
* I wasn't sure where exactly to put it: Currently it is in `Algebra.TensorProduct`, which I think could be a place for more results of tensor products over algebras in the long term, but maybe some file inside `Mathlib.LinearAlgebra.TensorProduct` could also make sense.
* I am not sure if it is very nice to mention 'variable (R A M N)' everywhere, they could also be defined as explicit in the top of the document, and explicitly omitted where unneeded.
* The `omit [IsScalarTower R A N] in` was suggested by the linter, I am not sure I understand why
* Since the relations contain negation, this procedure only works if some of the ingredients admit negation, one could imagine alternative versions (e.g. when $N$ admits negations and not $M$) but this seemed the most intuitive one.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
60/0 |
Mathlib.lean,Mathlib/Algebra/Algebra/TensorProduct.lean |
2 |
9 |
['Ljon4ik4', 'github-actions', 'mathlib-bors', 'ocfnash'] |
ocfnash assignee:ocfnash |
0-9522 2 hours ago |
0-20623 5 hours ago |
10-65598 10 days |
| 37009 |
dupuisf author:dupuisf |
feat(CStarAlgebra): `Ring.inverse` is convex and antitone on strictly positive operators |
This PR shows that the inverse is operator convex and operator antitone (we had the latter for inverse of elements in `Units`, but not for `Ring.inverse`).
---
[](https://gitpod.io/from-referrer/)
|
t-analysis |
345/19 |
Mathlib.lean,Mathlib/Algebra/Algebra/StrictPositivity.lean,Mathlib/Algebra/Group/Commute/Defs.lean,Mathlib/Algebra/Group/Units/Defs.lean,Mathlib/Algebra/GroupWithZero/Units/Basic.lean,Mathlib/Algebra/Order/Star/Basic.lean,Mathlib/Algebra/Star/Basic.lean,Mathlib/Algebra/Star/SelfAdjoint.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Order.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/Rpow/Basic.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/Rpow/ConjSqrt.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/Rpow/RingInverseOrder.lean |
12 |
58 |
['dupuisf', 'github-actions', 'j-loreaux', 'mathlib-merge-conflicts', 'themathqueen'] |
mcdoll assignee:mcdoll |
0-8390 2 hours ago |
1-83284 1 day ago |
5-19652 5 days |
| 35243 |
ScottCarnahan author:ScottCarnahan |
refactor(Algebra/MonoidAlgebra/PointwiseSMul): switch action from Finsupp to (Add)MonoidAlgebra and multiplicativize |
This PR moves the API for convolution action on functions from `Finsupp` to `MonoidAlgebra`, adding a `Semiring` hypothesis. We do this move, because the convolution action of finsupps on formal functions is more naturally expressed as an action by the monoid algebra with its convolutional multiplication.
This PR also multiplicativizes, preserving the original material with `to_additive`.
---
The large import is on a module that will be deprecated - I had to add the imports to make the deprecated flags work, but ultimately they will be irrelevant.
[](https://gitpod.io/from-referrer/)
|
large-import
t-algebra
label:t-algebra$ |
109/52 |
Mathlib.lean,Mathlib/Algebra/MonoidAlgebra/PointwiseSMul.lean,Mathlib/Data/Finsupp/PointwiseSMul.lean |
3 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
ocfnash assignee:ocfnash |
0-7783 2 hours ago |
28-62928 28 days ago |
33-43632 33 days |
| 37061 |
tannerduve author:tannerduve |
feat(Computability): rename RecursiveIn to Nat.RecursiveIn and generalize to Primcodable types |
Rename `RecursiveIn` to `Nat.RecursiveIn` (protected) for the `ℕ →. ℕ` version, and introduce a new `RecursiveIn` that lifts `Nat.RecursiveIn` to partial functions between `Primcodable` types via `liftPrim`.
Also adds:
- `Nat.PrimrecIn`: primitive recursion relative to oracles
- `liftPrim` / `liftPrimrec`: encode typed functions as `ℕ →. ℕ` / `ℕ → ℕ`
- `RecursiveIn₂`, `ComputableIn`, `ComputableIn₂`, `PrimrecIn'`
- Basic API: `of_eq`, `of_eq_tot`, `subst`, `mono`, `partrec_of_zero`, `partrec_of_none`, `partrec_iff_forall_recursiveIn`, etc.
To be merged before #37062 |
t-computability
new-contributor
maintainer-merge
|
235/61 |
Mathlib/Computability/RecursiveIn.lean,Mathlib/Computability/TuringDegree.lean |
2 |
39 |
['Komyyy', 'eric-wieser', 'github-actions', 'tannerduve'] |
nobody |
0-7539 2 hours ago |
6-25705 6 days ago |
7-4933 7 days |
| 36731 |
michael-novak-math author:michael-novak-math |
feat: add a few basic definitions and classical results about differential geometry of plane curves |
We define the curvature function, normal vector function and the Frénet moving frame and we prove the Frénet equations for plane curves and the fundamental theorem of plane curves. |
new-contributor
t-differential-geometry
t-analysis
|
635/0 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/Calculus.lean,Mathlib/Geometry/PlaneCurves.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/FundThmCalculus.lean,docs/references.bib |
5 |
31 |
['Ruben-VandeVelde', 'github-actions', 'grunweg', 'michael-novak-math'] |
nobody |
0-5687 1 hour ago |
8-6411 8 days ago |
10-78302 10 days |
| 37189 |
Brian-Nugent author:Brian-Nugent |
feat(AlgebraicGeometry): The pushforward of a quasi-coherent sheaf between affines is quasi-coherent |
To be more precise, we show that if `AlgebraicGeometry.Scheme.Modules.fromTildeΓ` is an isomorphism then the same holds for the pushforward. This will show that being quasicoherent is stable under pushforward for affine morphisms once it is shown that `AlgebraicGeometry.Scheme.Modules.fromTildeΓ` being an isomorphism is equivalent to being quasicoherent.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor |
173/1 |
Mathlib/Algebra/Module/LocalizedModule/Basic.lean,Mathlib/AlgebraicGeometry/Modules/Tilde.lean,Mathlib/Topology/Sheaves/SheafCondition/Sites.lean |
3 |
2 |
['github-actions'] |
nobody |
0-5084 1 hour ago |
0-5111 1 hour ago |
0-4876 1 hour |
| 37389 |
martinwintermath author:martinwintermath |
chore(LinearAlgebra/SesquilinearForm): generalize `orthogonalBilin` in order to simplify definition of `orthogonal` |
Generalize `Submodule.orthogonalBilin` to `CommSemiring` and `AddCommMonoid`, and to general sesquilinear forms with inputs from different modules. This allows to redefine `BilinForm.orthogonal` in terms of `orthogonalBilin`.
A few fixes in other files have been necessary.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
12/13 |
Mathlib/Algebra/Lie/InvariantForm.lean,Mathlib/LinearAlgebra/BilinearForm/Orthogonal.lean,Mathlib/LinearAlgebra/RootSystem/Finite/Nondegenerate.lean,Mathlib/LinearAlgebra/SesquilinearForm/Basic.lean |
4 |
1 |
['github-actions', 'vihdzp'] |
nobody |
0-4873 1 hour ago |
0-8188 2 hours ago |
0-8635 2 hours |
| 37390 |
SnirBroshi author:SnirBroshi |
feat(RingTheory/Int/Basic): `IsCoprime 2 m ↔ Odd m` |
Matches existing `Nat.Prime` lemmas.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
easy
|
8/0 |
Mathlib/RingTheory/Int/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
0-4862 1 hour ago |
0-4937 1 hour ago |
0-4702 1 hour |
| 37391 |
grunweg author:grunweg |
wip(create_deprecated_modules): fix some deprecation warnings related… |
… to the string api
Once complete, this PR will make the file build again; it previously failed because it had not been updated for the String API change. TODO in a future PR: add CI which ensures this script builds!
(Future future: can we test that we tested all .lean scripts? Or have a test which builds all .lean files in scripts?)
One universe error remains (which causes a second error further below).
A number of deprecation warnings would require further API changes (and it's unclear to me how much they are worth it). Let us postpone them for now; I'd be happy to disable the deprecation warnings.
---
[](https://gitpod.io/from-referrer/)
|
tech debt
CI
|
11/9 |
scripts/create_deprecated_modules.lean |
1 |
2 |
['github-actions'] |
nobody |
0-4340 1 hour ago |
0-4488 1 hour ago |
0-4253 1 hour |
| 37386 |
gasparattila author:gasparattila |
chore: call `dsimp` in the default tactic of `ContinuousLinearMap` |
---
This will also reduce the breakage in https://github.com/leanprover-community/mathlib4/pull/35548.
[](https://gitpod.io/from-referrer/)
|
|
33/73 |
Mathlib/Algebra/Category/ContinuousCohomology/Basic.lean,Mathlib/Analysis/CStarAlgebra/CStarMatrix.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/NonUnital.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Unital.lean,Mathlib/Analysis/Distribution/DerivNotation.lean,Mathlib/Analysis/Distribution/TestFunction.lean,Mathlib/Analysis/Fourier/Notation.lean,Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Analysis/InnerProductSpace/Spectrum.lean,Mathlib/Analysis/Normed/Algebra/Spectrum.lean,Mathlib/Analysis/Normed/Lp/PiLp.lean,Mathlib/Analysis/Normed/Lp/ProdLp.lean,Mathlib/Analysis/Normed/Module/WeakDual.lean,Mathlib/Analysis/RCLike/Basic.lean,Mathlib/MeasureTheory/Function/SimpleFuncDenseLp.lean,Mathlib/MeasureTheory/Measure/FiniteMeasure.lean,Mathlib/NumberTheory/ModularForms/JacobiTheta/TwoVariable.lean,Mathlib/Probability/Distributions/Fernique.lean,Mathlib/Probability/Distributions/Gaussian/IsGaussianProcess/Basic.lean,Mathlib/Probability/Distributions/Gaussian/IsGaussianProcess/Independence.lean,Mathlib/Topology/Algebra/Algebra.lean,Mathlib/Topology/Algebra/GroupCompletion.lean,Mathlib/Topology/Algebra/LinearMapCompletion.lean,Mathlib/Topology/Algebra/Module/Alternating/Topology.lean,Mathlib/Topology/Algebra/Module/LinearMap.lean,Mathlib/Topology/Algebra/Module/LinearMapPiProd.lean,Mathlib/Topology/Algebra/Module/Multilinear/Basic.lean,Mathlib/Topology/Algebra/Module/Multilinear/Topology.lean,Mathlib/Topology/Algebra/Module/Star.lean,Mathlib/Topology/Algebra/Star/LinearMap.lean,Mathlib/Topology/CompactOpen.lean,Mathlib/Topology/Constructions.lean,Mathlib/Topology/ContinuousMap/Algebra.lean,Mathlib/Topology/ContinuousMap/Ideals.lean,Mathlib/Topology/Instances/TrivSqZeroExt.lean |
35 |
2 |
['github-actions', 'themathqueen'] |
nobody |
0-3788 1 hour ago |
0-10902 2 hours ago |
0-14484 4 hours |
| 37392 |
artie2000 author:artie2000 |
chore(Geometry/Convex/Cone): deprecate `Convex.toCone` |
* This operation is subsumed by `ConvexCone.coe_hull_of_convex` and the existing closure API for `ConvexCone.hull`
---
[](https://gitpod.io/from-referrer/)
|
t-convex-geometry |
15/0 |
Mathlib/Geometry/Convex/Cone/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
0-3685 1 hour ago |
0-3765 58 minutes ago |
0-3530 58 minutes |
| 37325 |
wwylele author:wwylele |
feat(Analysis/InnerProductSpace): transfer lemmas about charpoly/eigenvalues from matrix to linear map |
These are some lemmas existing for matrix but missing for linear map.
Co-authored-by: Aristotle (Harmonic)
---
AI usage disclosure: I used Aristotle initially to one-shot the missing lemma `LinearMap.det_eq_prod_eigenvalues`, and then worked manually to break them into small pieces and align them with existing lemmas.
Here is a list of correspondence between new lemma and existing ones. Some of these have names and statements that I wouldn't be sure about if I had come up on my own, so I used the existing ones as justification for how they are named / stated
- LinearMap.IsSymmetric.charpoly_eq - [Matrix.IsHermitian.charpoly_eq](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Analysis/Matrix/Spectrum.html#Matrix.IsHermitian.charpoly_eq)
- LinearMap.IsSymmetric.roots_charpoly_eq_eigenvalues - [Matrix.IsHermitian.roots_charpoly_eq_eigenvalues₀](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Analysis/Matrix/Spectrum.html#Matrix.IsHermitian.roots_charpoly_eq_eigenvalues%E2%82%80)
- LinearMap.IsSymmetric.sort_roots_charpoly_eq_eigenvalues - [Matrix.IsHermitian.sort_roots_charpoly_eq_eigenvalues₀](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Analysis/Matrix/Spectrum.html#Matrix.IsHermitian.sort_roots_charpoly_eq_eigenvalues%E2%82%80)
- LinearMap.IsSymmetric.eigenvalues_eq_eigenvalues_iff - [Matrix.IsHermitian.eigenvalues_eq_eigenvalues_iff](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Analysis/Matrix/Spectrum.html#Matrix.IsHermitian.eigenvalues_eq_eigenvalues_iff)
- LinearMap.IsSymmetric.splits_charpoly - [Matrix.IsHermitian.splits_charpoly](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Analysis/Matrix/Spectrum.html#Matrix.IsHermitian.splits_charpoly)
- LinearMap.IsSymmetric.det_eq_prod_eigenvalues - [Matrix.IsHermitian.det_eq_prod_eigenvalues](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Analysis/Matrix/Spectrum.html#Matrix.IsHermitian.det_eq_prod_eigenvalues)
[](https://gitpod.io/from-referrer/)
|
large-import
t-analysis
|
64/7 |
Mathlib/Analysis/InnerProductSpace/Spectrum.lean,Mathlib/Analysis/InnerProductSpace/Trace.lean,Mathlib/LinearAlgebra/Eigenspace/Charpoly.lean |
3 |
22 |
['github-actions', 'themathqueen', 'wwylele'] |
j-loreaux assignee:j-loreaux |
0-1556 25 minutes ago |
1-80270 1 day ago |
1-80035 1 day |
| 37394 |
wwylele author:wwylele |
feat(Analysis/Hermitian): more lemma to convert between IsHermitian and IsSymmetric |
Separated from #37325
---
[](https://gitpod.io/from-referrer/)
|
t-analysis |
34/16 |
Mathlib/Analysis/InnerProductSpace/Positive.lean,Mathlib/Analysis/Matrix/Hermitian.lean,Mathlib/Analysis/Matrix/Spectrum.lean |
3 |
1 |
['github-actions'] |
nobody |
0-1444 24 minutes ago |
0-1594 22 minutes ago |
0-1359 22 minutes |
| 37290 |
Vtec234 author:Vtec234 |
ci: remove special support for ProofWidgets4 cloud releases |
This PR removes special support for ProofWidgets4 cloud releases. See leanprover-community/ProofWidgets4#165.
---
CI runs:
https://github.com/leanprover-community/mathlib4/actions/runs/23669823972
https://github.com/leanprover-community/mathlib4/actions/runs/23768342866
[](https://gitpod.io/from-referrer/)
|
|
17/223 |
.github/workflows/build_template.yml,Cache/IO.lean,Cache/Main.lean,Cache/Requests.lean,Mathlib/Tactic/CategoryTheory/Coherence/Normalize.lean,Mathlib/Tactic/Widget/Conv.lean,lake-manifest.json,lakefile.lean,scripts/bench/build/run,scripts/verify_version_tags.py |
10 |
13 |
['Vtec234', 'bryangingechen', 'github-actions', 'marcelolynch', 'mathlib-bors'] |
nobody |
0-1162 19 minutes ago |
0-9454 2 hours ago |
3-4717 3 days |
| 37395 |
Komyyy author:Komyyy |
chore: transparency-defeq of `Primcodable (Fin n)` |
Found by @JovanGerb 's linter. ([Zulip Link](https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/linter.20for.20instance.20diamonds/near/582554439))
The cause of this defeq issue is not `def` of a type, but a type is inferred as `{ i : ℕ // id i < n }` instead of `{ i : ℕ // i < n }`, so the fix is straightforward.
This change does not decrease the number of `respectTransparency`, as confirmed by running `python3 ./scripts/rm_set_option.py --files Mathlib/Computability/**`.
---
[](https://gitpod.io/from-referrer/)
|
t-computability
tech debt
|
6/2 |
Mathlib/Computability/Primrec/Basic.lean |
1 |
0 |
[] |
nobody |
0-462 7 minutes ago |
0-462 3 minutes ago |
0-227 3 minutes |
| Number |
Author |
Title |
Description |
Labels |
+/- |
Modified files (first 100) |
📝 |
💬 |
All users who commented or reviewed |
Assignee(s) |
Updated |
Last status change |
total time in review |
| 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
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-measure-probability
|
392/33 |
Mathlib/Analysis/Convex/Basic.lean,Mathlib/Analysis/Convex/Body.lean,Mathlib/Analysis/Convex/Gauge.lean,Mathlib/LinearAlgebra/FiniteDimensional/Lemmas.lean,Mathlib/LinearAlgebra/LinearIndependent/Lemmas.lean,Mathlib/MeasureTheory/Group/GeometryOfNumbers.lean |
6 |
3 |
['github-actions', 'joneugster'] |
urkud assignee:urkud |
19-81590 19 days ago |
31-70539 31 days ago |
31-73270 31 days |
| 36443 |
Fieldnote-Echo author:Fieldnote-Echo |
feat(Combinatorics/SimpleGraph): add SimpleGraph.ball (open metric ball) |
Add `SimpleGraph.ball`, the open ball in the graph extended metric.
## Design decisions
- **Open ball** (strict `<`, not `≤`): `ball c ⊤` coincides with the connected
component of `c`, whereas a closed ball would give `closedBall c ⊤ = univ`.
- **Named `SimpleGraph.ball`** (not `eball`): since `dist`-valued balls are less
natural for disconnected graphs, the `e` prefix is unnecessary.
- **Graph-specific** (not via `PseudoEMetricSpace`): avoids importing `ℝ`.
AI assistance: Claude (Opus 4.6) helped draft and iterate on the implementation. I reviewed the code line by line and vouch for the final contents.
Discussed on [Zulip](https://leanprover.zulipchat.com/#narrow/channel/252551-graph-theory/topic/SimpleGraph.20metric.20balls/with/577846803).
---
[](https://gitpod.io/from-referrer/) |
t-combinatorics
new-contributor
LLM-generated
|
59/3 |
Mathlib/Combinatorics/SimpleGraph/Metric.lean |
1 |
36 |
['Fieldnote-Echo', 'Rida-Hamadani', 'SnirBroshi', 'github-actions', 'lauramonk', 'vlad902'] |
nobody |
14-30699 14 days ago |
20-29211 20 days ago |
20-28976 20 days |
| 34854 |
GrigorenkoPV author:GrigorenkoPV |
chore(Combinatorics/Enumerative/Catalan): split into `Basic` & `Tree` |
---
Split off from #34853
[](https://gitpod.io/from-referrer/)
|
new-contributor |
227/194 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/Catalan.lean,Mathlib/Combinatorics/Enumerative/Catalan/Basic.lean,Mathlib/Combinatorics/Enumerative/Catalan/Tree.lean,Mathlib/Combinatorics/Enumerative/DyckWord.lean,Mathlib/RingTheory/PowerSeries/Catalan.lean |
6 |
5 |
['SnirBroshi', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
thorimur assignee:thorimur |
13-28268 13 days ago |
13-28294 13 days ago |
33-17958 33 days |
| 36786 |
SproutSeeds author:SproutSeeds |
feat(DoubleCounting): parity of odd-degree vertices in bipartite incidence |
Adds `odd_card_filter_odd_bipartiteAbove_iff_odd_card_filter_odd_bipartiteBelow` to
`Mathlib.Combinatorics.Enumerative.DoubleCounting`.
This is the small parity-helper first step for #25231.
Validation:
- `lake build Mathlib.Combinatorics.Enumerative.DoubleCounting`
Supersedes closed #36077 after replaying the helper cleanly on current `master`.
AI usage: used Codex for branch recovery, replay onto current `master`, and draft wording;
final code choices and verification by me.
|
new-contributor
t-combinatorics
large-import
|
17/0 |
Mathlib/Combinatorics/Enumerative/DoubleCounting.lean |
1 |
2 |
['github-actions'] |
nobody |
12-76058 12 days ago |
12-76141 12 days ago |
12-75906 12 days |
| 36832 |
KryptosAI author:KryptosAI |
chore(Data/Finset/Card): rename `pred_card_le_card_erase` to `sub_one_card_le_card_erase` |
## Summary
The name `pred_card_le_card_erase` suggests `Nat.pred` but the statement uses `- 1` (i.e., `Nat.sub 1`). Rename to `sub_one_card_le_card_erase` to match the actual statement.
A deprecated alias is added for backwards compatibility.
### Files changed
- `Mathlib/Data/Finset/Card.lean` — definition renamed + deprecated alias
- `Mathlib/Data/Finset/Powerset.lean` — reference updated
- `Mathlib/Combinatorics/Additive/SubsetSum.lean` — reference updated
- `Mathlib/Algebra/Polynomial/EraseLead.lean` — reference updated
Addresses the `Finset.pred_card_le_card_erase` item in #21584.
## AI disclosure
I used Claude Code to explore the codebase (finding all references to rename) and to draft the PR description. I reviewed and understand all changes — these are straightforward renames with a deprecated alias. |
new-contributor |
7/4 |
Mathlib/Algebra/Polynomial/EraseLead.lean,Mathlib/Combinatorics/Additive/SubsetSum.lean,Mathlib/Data/Finset/Card.lean,Mathlib/Data/Finset/Powerset.lean |
4 |
2 |
['github-actions'] |
nobody |
11-73865 11 days ago |
12-37 11 days ago |
12-2700 12 days |
| 36886 |
Deep0Thinking author:Deep0Thinking |
feat(Combinatorics/Enumerative/Bonferroni): add Bonferroni inequalities |
This PR adds Bonferroni inequalities.
Main theorems:
- `Finset.indicator_biUnion_le_bonferroniIndicator_of_odd`
- `Finset.bonferroniIndicator_le_indicator_biUnion_of_even`
- `Finset.card_biUnion_le_bonferroniCard_of_odd`
- `Finset.bonferroniCard_le_card_biUnion_of_even`
Co-authored-by: Claude (Opus 4.6)
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
334/4 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/Bonferroni.lean,Mathlib/Combinatorics/Enumerative/InclusionExclusion.lean |
3 |
2 |
['github-actions'] |
nobody |
10-30594 10 days ago |
10-30681 10 days ago |
10-31275 10 days |
| 34227 |
stepan2698-cpu author:stepan2698-cpu |
feat: If sum of densities is at least one, the sumset covers the naturals |
Proves an outstanding TODO item from Mathlib.Combinatorics.Schnirelmann : shows that if the sum of two densities is at least one, the sumset covers the positive naturals.
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
51/1 |
Mathlib/Combinatorics/Schnirelmann.lean |
1 |
3 |
['github-actions', 'grunweg', 'kbuzzard'] |
b-mehta assignee:b-mehta |
10-27758 10 days ago |
68-1456 68 days ago |
68-15324 68 days |
| 36210 |
vbeffara author:vbeffara |
feat(Combinatorics/SimpleGraph): definitions of graph contraction and graph minor |
A contraction is the image of a graph through a surjective function with connected fibers, and a minor is a contraction of a subgraph.
This PR shows that being a contraction is transitive, but does not show the same for minors because the proof is more involved, it will be in a subsequent PR. The definitions are in `Prop` and do not contain data, but I'm not sure if that was the right choice.
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
151/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Contraction.lean,Mathlib/Combinatorics/SimpleGraph/Minor.lean |
3 |
7 |
['YaelDillies', 'github-actions', 'mathlib-merge-conflicts', 'vbeffara'] |
YaelDillies assignee:YaelDillies |
10-26794 10 days ago |
11-34721 11 days ago |
24-61076 24 days |
| 36677 |
AlexeyMilovanov author:AlexeyMilovanov |
feat(Computability.Partrec): add computability of Nat.find |
This PR bridges `Partrec.rfind` with total unbounded search (`Nat.find`).
It adds:
* `Computable.find`: Proves that `x ↦ Nat.find (h_ex x)` is computable for a computable decidable predicate `P`.
* `Computable.rightInverse_of_surjective`: Proves that the right inverse of a computable surjective function is computable. |
t-computability
new-contributor
|
31/0 |
Mathlib/Computability/Partrec.lean |
1 |
5 |
['AlexeyMilovanov', 'github-actions', 'vlad902'] |
Komyyy assignee:Komyyy |
9-81591 9 days ago |
15-43366 15 days ago |
15-43131 15 days |
| 36421 |
ROTARTSI82 author:ROTARTSI82 |
feat(RingTheory/IsAdjoinRoot): add mkOfAdjoinEqTop' |
Alternative hypothesis to existing theorem: prove the result from a `Module.Free `hypothesis instead of `IsIntegrallyClosed`. If `α` generates `S` as an algebra, then `S` is given by adjoining a root of `minpoly R α`.
---
Hello, we are the Algebraic Geometry group from the UW Math AI lab, and this is our first PR! This definition of `mkOfAdjoinEqTop'` generalizes the existing `mkOfAdjoinEqTop` and shows the result from `Module.Free` instead of `IsIntegrallyClosed`. It is used in future results that we would like to upstream at https://github.com/uw-math-ai/monogenic-extensions, which is a project to formalize lemmas 3.1 and 3.2 from https://arxiv.org/abs/2503.07846.
Co-authored-by: George Peykanu
Co-authored-by: Bryan Boehnke
Co-authored-by: Bianca Viray <67076332+b-viray@users.noreply.github.com>
-->
[](https://gitpod.io/from-referrer/)
|
new-contributor
large-import
t-ring-theory
|
47/0 |
Mathlib/FieldTheory/Minpoly/Basic.lean,Mathlib/RingTheory/IsAdjoinRoot.lean |
2 |
4 |
['ROTARTSI82', 'b-viray', 'github-actions'] |
dupuisf assignee:dupuisf |
9-18326 9 days ago |
20-82899 20 days ago |
20-82664 20 days |
| 34742 |
Brian-Nugent author:Brian-Nugent |
feat(SheafCohomology): add API for Sheaf Cohomology |
Defines the long exact sequence on cohomology associated to a short exact sequence of sheaves `H.longSequence`. Also defines `H.equiv₀`, the additive equivalence between `H F 0` and `((sheafSections J AddCommGrpCat).obj (op T)).obj F` when the category has a terminal object `T`.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
large-import
t-category-theory
|
87/3 |
Mathlib/Algebra/Category/Grp/ForgetCorepresentable.lean,Mathlib/CategoryTheory/Sites/Abelian.lean,Mathlib/CategoryTheory/Sites/SheafCohomology/Basic.lean |
3 |
33 |
['Brian-Nugent', 'adamtopaz', 'dagurtomas', 'github-actions', 'joelriou', 'joneugster', 'mathlib-merge-conflicts'] |
adamtopaz assignee:adamtopaz |
9-18148 9 days ago |
9-18148 9 days ago |
47-65368 47 days |
| 33714 |
idontgetoutmuch author:idontgetoutmuch |
feat(Mathlib/Geometry/Manifold): Riemannian metrics exist II |
Supersedes https://github.com/leanprover-community/mathlib4/pull/33519
---
[](https://gitpod.io/from-referrer/)
|
t-differential-geometry
new-contributor
|
680/0 |
Mathlib.lean,Mathlib/Geometry/Manifold/ExistsRiemannianMetric.lean,Mathlib/Geometry/Manifold/PartitionOfUnity.lean |
3 |
200 |
['github-actions', 'grunweg', 'idontgetoutmuch'] |
grunweg, ocfnash, sgouezel assignee:ocfnash assignee:grunweg assignee:sgouezel |
8-81582 8 days ago |
29-27656 29 days ago |
43-57596 43 days |
| 35653 |
pepamontero author:pepamontero |
feat: add ChartedSpace structure on orbit space |
feat: add ChartedSpace structure on orbit space
Add topological preliminaries for properly discontinuous group actions, and use them to equip the orbit space `orbitRel.Quotient G M` with a `ChartedSpace` structure.
In particular:
- Show that the quotient map `Quotient.mk _ : M → orbitRel.Quotient G M` is a covering map and hence a local homeomorphism.
- Construct chosen local inverses of the quotient map and establish properties over them.
- Define a `ChartedSpace` instance on the quotient by composing these local inverses with charts of M.
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.
---
|
new-contributor
t-differential-geometry
|
186/0 |
Mathlib.lean,Mathlib/Geometry/Manifold/Instances/OrbitSpace.lean,Mathlib/Topology/Algebra/OrbitSpace.lean |
3 |
2 |
['github-actions'] |
PatrickMassot, ocfnash, sgouezel assignee:ocfnash assignee:sgouezel assignee:PatrickMassot |
8-81581 8 days ago |
36-14224 36 days ago |
36-14664 36 days |
| 36910 |
Brian-Nugent author:Brian-Nugent |
feat(CategoryTheory): 4 and 5 lemmas for ComposableArrows 5 |
Adds versions of the 4 and 5 lemmas for morphisms in `ComposableArrows 5`.
---
[](https://gitpod.io/from-referrer/)
|
t-category-theory
new-contributor
|
71/2 |
Mathlib/CategoryTheory/Abelian/DiagramLemmas/Four.lean |
1 |
2 |
['github-actions'] |
adamtopaz assignee:adamtopaz |
8-81566 8 days ago |
10-20212 10 days ago |
10-19977 10 days |
| 36781 |
hommmmm author:hommmmm |
feat(RingTheory/UniqueFactorizationDomain): UFD iff height one primes are principal |
We prove that a Noetherian integral domain is a UFD if and only if every prime ideal of height one is principal (`UniqueFactorizationMonoid.iff_height_one_prime_principal`).
## New declarations
* `UniqueFactorizationMonoid.exists_height_one_le_of_finite_height`: given a prime of finite height ≥ 1, there exists a height one prime contained in it.
* `UniqueFactorizationMonoid.ne_bot_of_height_one`: an ideal of height one is nonzero.
* `UniqueFactorizationMonoid.height_ge_one_of_prime_ne_bot`: the height of a nonzero prime ideal in a domain is at least one.
* `UniqueFactorizationMonoid.height_one_prime_principal`: in a UFD, every height one prime is principal.
* `UniqueFactorizationMonoid.of_height_one_prime_principal`: every height one prime being principal implies UFD (Noetherian case).
* `UniqueFactorizationMonoid.iff_height_one_prime_principal`: the full iff statement.
## References
See https://stacks.math.columbia.edu/tag/0AFT
## AI Disclosure
This code is written without AI, then uses Claude Code with cameronfreer's [Lean4-skills](https://github.com/cameronfreer/lean4-skills) (specifically, the `review`, `refactor`, and `golf` workflow) for style changes, refactoring and golfing.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
large-import
|
102/1 |
Mathlib/RingTheory/UniqueFactorizationDomain/Kaplansky.lean |
1 |
8 |
['Thmoas-Guan', 'chrisflav', 'github-actions', 'hommmmm', 'tb65536'] |
mariainesdff assignee:mariainesdff |
8-12961 8 days ago |
8-12962 8 days ago |
12-48334 12 days |
| 36785 |
hommmmm author:hommmmm |
feat(RingTheory/Localization): Nagata's criterion for primality in localization away |
## Summary
- Add `dvd_of_mem_span_singleton_localization`: if `p` is prime and `p ∤ x`, then
membership in the span of the image of `x` in `R[1/p]` implies divisibility by `x`.
- Add `prime_of_prime_in_localization` (Nagata's criterion): if `p` is prime, `x` is
irreducible, and the image of `x` in `R[1/p]` is prime, then `x` is prime.
## References
- [Stacks Project, Tag 0AFU](https://stacks.math.columbia.edu/tag/0afu)
## AI Disclosure
This code is written without AI, then uses Claude Code with cameronfreer's [Lean4-skills](https://github.com/cameronfreer/lean4-skills) (specifically, the `review`, `refactor`, and `golf` workflow) for style changes, refactoring and golfing.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
|
72/0 |
Mathlib.lean,Mathlib/RingTheory/Localization/Away/Prime.lean |
2 |
4 |
['chrisflav', 'github-actions', 'hommmmm'] |
chrisflav assignee:chrisflav |
8-12961 8 days ago |
8-12961 8 days ago |
12-39347 12 days |
| 33662 |
Pjotr5 author:Pjotr5 |
feat(Algebra/Order/BigOperators/Expect): add lemmas and strict variants |
### Summary
- Combine `le_expect_nonempty_of_subadditive` and `le_expect_of_subadditive` into a single lemma `le_expect_of_subadditive`.
The extra assumptions `(hs : s.Nonempty)` and `(h_zero : m 0 = 0)` are unnecessary (since `m 0 = 0` follows from `h_div`).
This requires a small downstream update to `Mathlib/Analysis/RCLike/Basic.lean` (`norm_expect_le`).
- Add strict-inequality variants:
`expect_lt_expect`, `expect_lt`, `lt_expect`.
- Add existence lemmas:
`exists_le_of_expect_le_expect`, `exists_le_of_le_expect`, `exists_le_of_expect_le`,
and `exists_lt_of_expect_lt_expect`.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebra
label:t-algebra$ |
46/16 |
Mathlib/Algebra/Order/BigOperators/Expect.lean,Mathlib/Analysis/RCLike/Basic.lean |
2 |
6 |
['Pjotr5', 'b-mehta', 'github-actions'] |
b-mehta assignee:b-mehta |
8-10063 8 days ago |
8-10236 8 days ago |
83-51541 83 days |
| 34093 |
YellPika author:YellPika |
feat(Order/OmegaCompletePartialOrder): add `OmegaCompletePartialOrder` instance for `Option` with basic `ωScottContinuous` lemmas |
---
- [x] depends on: #33941
[](https://gitpod.io/from-referrer/)
|
t-order
new-contributor
|
297/0 |
Mathlib.lean,Mathlib/Data/Option/Order.lean,Mathlib/Order/Monotone/Basic.lean,Mathlib/Order/OmegaCompletePartialOrder.lean |
4 |
5 |
['YellPika', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
Komyyy assignee:Komyyy |
7-81536 7 days ago |
54-63897 54 days ago |
54-66626 54 days |
| 34182 |
IlPreteRosso author:IlPreteRosso |
feat(Data/Finsupp/Single, Data/Finsupp/Indicator): Add set_indicator_singleton, indicator_singleton; golfed single_eq_set_indicator, single_eq_indicator |
[Mathlib.Data.Finsupp.Single](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Data/Finsupp/Single.html#Finsupp.single)
- Add `set_indicator_singleton`, golfed `single_eq_set_indicator`
[Mathlib.Data.Finsupp.Indicator](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Data/Finsupp/Indicator.html#Finsupp.indicator_apply)
- Add `indicator_singleton`, golfed `single_eq_indicator`
Continues the work from #34095 |
large-import
t-data
new-contributor
|
17/17 |
Mathlib/Data/Finsupp/Indicator.lean,Mathlib/Data/Finsupp/Single.lean |
2 |
29 |
['IlPreteRosso', 'eric-wieser', 'github-actions', 'mathlib-bors', 'urkud'] |
TwoFX assignee:TwoFX |
7-81534 7 days ago |
68-69885 68 days ago |
68-77643 68 days |
| 34851 |
dennj author:dennj |
feat(Data/Matrix/Mul): add diagonal and transpose lemmas for vector operations |
This adds three lemmas for matrix-vector operations that serve as foundational support for future ML formalization:
- `vecMul_diagonal_dotProduct`: weighted inner product `x ᵥ* diagonal d ⬝ᵥ y = ∑ i, d i * x i * y i`
- `dotProduct_transpose_mulVec`: bilinear form symmetry `x ⬝ᵥ Aᵀ *ᵥ y = y ⬝ᵥ A *ᵥ x`
- `mul_diagonal_mulVec`: column-weighted sum `(A * diagonal d) *ᵥ x = ∑ i, (d i * x i) • A.col i`
These are basic linear algebra identities involving diagonal matrices and vector operations that appear frequently in machine learning contexts (weighted inner products, attention mechanisms, feature scaling, diagonal preconditioning). |
t-data
new-contributor
|
22/0 |
Mathlib/Data/Matrix/Mul.lean |
1 |
5 |
['dennj', 'eric-wieser', 'github-actions', 'themathqueen'] |
TwoFX assignee:TwoFX |
7-81527 7 days ago |
54-10661 54 days ago |
54-10426 54 days |
| 34875 |
banrovegrie author:banrovegrie |
feat(LinearAlgebra/Matrix): add Sherman-Morrison formula |
Mathlib has the matrix determinant lemma (`det_add_replicateCol_mul_replicateRow` in SchurComplement.lean) but lacked the corresponding inverse formula. This PR fills that gap.
- Add `Matrix.inv_add_vecMulVec`: Sherman-Morrison formula for `(A + uv^T)^{-1}`
- Add `Matrix.inv_sub_vecMulVec`: subtraction variant
- Add `Matrix.isUnit_det_add_vecMulVec`: invertibility under the formula's hypotheses
## Test plan
- [x] `lake build` passes
- [x] Lines within 100 char limit
- [x] All declarations have docstrings |
t-algebra
new-contributor
label:t-algebra$ |
135/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Matrix/ShermanMorrison.lean |
2 |
11 |
['Xxxjdjdid', 'banrovegrie', 'copilot-pull-request-reviewer', 'eric-wieser', 'github-actions', 'wwylele'] |
eric-wieser assignee:eric-wieser |
7-81526 7 days ago |
53-29893 53 days ago |
53-29658 53 days |
| 35597 |
BryceT233 author:BryceT233 |
feat(AdicTopology): add lemmas about adic topology |
This PR adds APIs to transport topological and uniform properties of adic topologies across ring equivalences, By upgrading an ideal-preserving ring equivalence to a `UniformEquiv`, we provide natural congruence lemmas for adic completeness, precompleteness, and Hausdorffness, which serve as necessary topological preliminaries for the ongoing formalization of the Cohen Structure Theorem.
Co-authored-by: @Thmoas-Guan
---
[](https://gitpod.io/from-referrer/)
|
t-topology
new-contributor
|
55/2 |
Mathlib/RingTheory/AdicCompletion/Topology.lean,Mathlib/Topology/Algebra/Nonarchimedean/AdicTopology.lean |
2 |
7 |
['erdOne', 'github-actions'] |
PatrickMassot assignee:PatrickMassot |
7-81520 7 days ago |
34-72944 34 days ago |
37-60069 37 days |
| 36787 |
hommmmm author:hommmmm |
feat(RingTheory/LocalRing): Krull dimension results for maximal ideal of local ring |
## Summary
This PR adds two results connecting the Krull dimension of a local ring to its maximal ideal:
* `IsLocalRing.ringKrullDim_eq_zero_of_maximalIdeal_eq_bot`: A local ring whose maximal ideal is `⊥` has Krull dimension zero.
* `IsLocalRing.exists_mem_maximalIdeal_not_mem_sq`: In a Noetherian local ring of positive Krull dimension, there exists an element in the maximal ideal that is not in its square.
The second result follows from Nakayama's lemma: if every element of the maximal ideal `𝔪` were in `𝔪²`, then `𝔪 = 𝔪²`, and Nakayama gives `𝔪 = ⊥`, contradicting positive dimension.
## New file
* `Mathlib/RingTheory/LocalRing/MaximalIdeal/KrullDimension.lean`
## Acknowledgements
Thanks to Dora Kassabova and Leopold Mayer for edit suggestions.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-ring-theory
|
57/0 |
Mathlib.lean,Mathlib/RingTheory/LocalRing/MaximalIdeal/KrullDimension.lean |
2 |
10 |
['NoahW314', 'github-actions', 'hommmmm', 'tb65536', 'wwylele'] |
chrisflav assignee:chrisflav |
7-81510 7 days ago |
12-12434 12 days ago |
12-74374 12 days |
| 36788 |
hommmmm author:hommmmm |
feat(RingTheory): height of span of a prime element is one |
## Summary
- Add `Ideal.height_span_singleton_eq_one_of_prime`: in a Noetherian integral domain, the ideal generated by a prime element has height one.
## Notes
The new theorem follows directly from `height_le_one_of_isPrincipal_of_mem_minimalPrimes` (upper bound) and the fact that `span {p} ≠ ⊥` for `p` prime (lower bound).
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
|
12/1 |
Mathlib/RingTheory/Ideal/KrullsHeightTheorem.lean |
1 |
2 |
['github-actions'] |
mattrobball assignee:mattrobball |
7-81509 7 days ago |
12-73838 12 days ago |
12-73603 12 days |
| 36789 |
hommmmm author:hommmmm |
feat(RingTheory/Ideal/Height): prime ideal determined by height among overideals |
## Summary
- Add `Ideal.eq_of_le_of_height_eq`: a prime ideal of finite height is equal to any ideal of the same height that contains it.
## Notes
This is a direct consequence of `Ideal.height_strict_mono_of_is_prime`: if `I` were strictly contained in `J`, their heights would differ.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
|
10/0 |
Mathlib/RingTheory/Ideal/Height.lean |
1 |
7 |
['github-actions', 'hommmmm', 'tb65536'] |
erdOne assignee:erdOne |
7-81509 7 days ago |
12-73546 12 days ago |
12-73311 12 days |
| 36813 |
AlexeyMilovanov author:AlexeyMilovanov |
feat(Computability.Encoding): add self-delimiting unary and pair encodings |
Adds `unaryPrefix` (a self-delimiting $1^n 0$ code) and `prefixPair` to `Mathlib.Computability.Encoding`.
**Key changes:**
* **`unaryPrefix`**: A prefix-free unary encoding for $\mathbb{N}$, distinct from the existing `unaryEncodeNat`.
* **`unaryPrefix_append_inj`**: A basic cancellation lemma that allows unique extraction of a unary prefix from a concatenated list.
* **`prefixPair`**: A self-delimiting pairing function for boolean lists, defined as $\text{unaryPrefix } |x| \frown x \frown y$.
* **`prefixPair_inj`**: A concise proof of pair injectivity leveraging the new prefix lemmas.
|
t-computability
new-contributor
|
56/1 |
Mathlib/Computability/Encoding.lean |
1 |
2 |
['github-actions'] |
Komyyy assignee:Komyyy |
7-81508 7 days ago |
12-28243 12 days ago |
12-28008 12 days |
| 36896 |
PieterCuijpers author:PieterCuijpers |
feat (Algebra/Order/Quantale): isMulIdempotent, isMulLeftsided, isMulRightsided, isMulTwosided and strict versions |
* Adding definitions of quantale elements being idempotent, leftsided, rightsided, and twosided, and strict versions
I'd value some discussion on whether especially the definition of isMulIdempotent would belong here, since
it applies to semigroups in general. I only see definitions of IdempotentOp in the library so far, focussing on
operators that are fully idempotent, while in the study of Quantales it seems that subquantales of elements
that are idempotent in the original are also interesting. This argues the need for having definitions on
separate elements.
Also, should we include these definitions in the main Algebra/Order/Quantale.lean file, or start a separate file for them?
And I have a few basic theorems I would like to include, but invite suggestions.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
105/1 |
Mathlib/Algebra/Order/Quantale.lean |
1 |
4 |
['NoahW314', 'github-actions'] |
kim-em assignee:kim-em |
7-81507 7 days ago |
10-47262 10 days ago |
10-47027 10 days |
| 36968 |
NoahW314 author:NoahW314 |
feat: add missing IndiscreteTopology instances |
Add several instances for the IndiscreteTopology. These instances are chosen as they have short proofs and imply many of the more common instances like `NormalSpace` and `LocPathConnectedSpace`.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-topology
|
21/0 |
Mathlib/Topology/AlexandrovDiscrete.lean,Mathlib/Topology/Constructions.lean,Mathlib/Topology/Irreducible.lean,Mathlib/Topology/Metrizable/Basic.lean |
4 |
2 |
['github-actions'] |
PatrickMassot assignee:PatrickMassot |
7-81503 7 days ago |
8-79899 8 days ago |
8-79664 8 days |
| 34191 |
IlPreteRosso author:IlPreteRosso |
feat(Topology/Algebra/InfiniteSum): Discrete Convolution API 1st PR |
Defines the very basics of the discrete convolution API. In analogy with [MeasureTheory.Convolution](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Analysis/Convolution.html#MeasureTheory.convolution).
Main definitions include
- `mulFiber`, `convolution`, `ConvolutionExists`, `ConvolutionExists.add_distrib`, `ConvolutionExistsAt.smul_convolution`, `mulFiber_swapEquiv`, `convolution_comm`
RM:
- The main docstring is *as is*
- Next step is triple sum intrastrcutre + `assoc` theorems for convolution (long)
Continues the work from #33411 and #33410 (splitting into shorter PRs, carries over the modifications from previous reviews) |
t-topology
new-contributor
|
277/0 |
Mathlib.lean,Mathlib/Topology/Algebra/InfiniteSum/DiscreteConvolution.lean |
2 |
18 |
['IlPreteRosso', 'github-actions', 'j-loreaux'] |
ocfnash assignee:ocfnash |
6-81598 6 days ago |
54-24152 54 days ago |
63-25600 63 days |
| 34477 |
spanning-tree author:spanning-tree |
refactor(Order): make CompletePartialOrder extend OrderBot |
Make `CompletePartialOrder` extend `OrderBot`, and add a constructor `completePartialOrderOfLubOfDirected`. Previously, `CompletePartialOrder` had an implicit bottom element but did not extend OrderBot explicitly.
Breaking change: `CompletePartialOrder` instances must provide `⊥` and `bot_le`, or use the constructor.
See discussion in [Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/.3E.20complete.20partial.20order.20and.20domain.20theory.20formalization).
---
[](https://gitpod.io/from-referrer/)
|
t-order
new-contributor
|
15/1 |
Mathlib/Order/CompletePartialOrder.lean |
1 |
3 |
['Citronhat', 'github-actions', 'mathlib-merge-conflicts'] |
bryangingechen assignee:bryangingechen |
6-81596 6 days ago |
29-34495 29 days ago |
50-9417 50 days |
| 36720 |
YanYablonovskiy author:YanYablonovskiy |
feat(Order): `OrderType.lift` and more order type API |
Adding the universe lifting operation to `OrderType` , addresses a 'TODO' .
---
[](https://gitpod.io/from-referrer/)
|
t-order
new-contributor
|
41/2 |
Mathlib/Order/Types/Defs.lean |
1 |
23 |
['YaelDillies', 'YanYablonovskiy', 'github-actions', 'vihdzp'] |
bryangingechen assignee:bryangingechen |
6-81586 6 days ago |
7-51075 7 days ago |
9-14396 9 days |
| 37109 |
zeekmartin author:zeekmartin |
feat(SimpleGraph): card of common neighbors equals card of triangles containing edge |
Adds `SimpleGraph.card_commonNeighbors_eq_card_triangles_containing_edge`
to `Mathlib/Combinatorics/SimpleGraph/Clique.lean`.
For adjacent vertices `u v` in a finite simple graph, establishes the bijection
between common neighbors and 3-cliques containing the edge `{u, v}`:
```lean
theorem card_commonNeighbors_eq_card_triangles_containing_edge
{u v : α} (huv : G.Adj u v) :
(G.commonNeighbors u v).toFinset.card =
((G.cliqueFinset 3).filter fun s => {u, v} ⊆ s).card
```
This connects `commonNeighbors` (defined in `Basic.lean`) with `cliqueFinset` —
a gap not previously covered in `Clique.lean`.
**AI disclosure**: Claude (Anthropic) was used as an assistant during the development of this proof. It helped with the initial proof structure and tactic suggestions. The proof was reviewed and validated step by step by the author, who can vouch for all the content. The mathematical idea originates from the author's prior Lean 4 work on spectral graph theory (github.com/zeekmartin/topostability-lean4).
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
LLM-generated
new-contributor
|
61/0 |
Mathlib/Combinatorics/SimpleGraph/Clique.lean |
1 |
7 |
['SnirBroshi', 'github-actions', 'zeekmartin'] |
nobody |
6-20617 6 days ago |
6-27776 6 days ago |
6-27541 6 days |
| 35402 |
samueloettl author:samueloettl |
feat(Dynamics/BirkhoffSum): birkhoffAverage const |
---
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
|
22/0 |
Mathlib/Dynamics/BirkhoffSum/Average.lean |
1 |
2 |
['github-actions'] |
ADedecker assignee:ADedecker |
5-81582 5 days ago |
36-4855 36 days ago |
42-37908 42 days |
| 36667 |
NoneMore author:NoneMore |
feat(ModelTheory): add `exClosure` definition for first-order formulas |
Prepare for moving realizations between elementarily equivalent structures.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-logic
|
37/0 |
Mathlib/ModelTheory/Semantics.lean,Mathlib/ModelTheory/Syntax.lean |
2 |
2 |
['github-actions'] |
awainverse assignee:awainverse |
5-56112 5 days ago |
15-65812 15 days ago |
15-65577 15 days |
| 32744 |
NoneMore author:NoneMore |
feat(ModelTheory/Definablity): add `DefinableFun` definition and lemmas |
This PR adds two basic shapes of definable sets and `DefinableFun` definition with relevant lemmas.
The main result is `Set.Definable.preimage_of_map` asserting that the preimage of a definable set under a definable map is definable.
There are also some tool lemmas derived by the preimage lemma.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-logic
|
147/0 |
Mathlib/ModelTheory/Definability.lean |
1 |
60 |
['NoneMore', 'github-actions', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'staroperator'] |
nobody |
5-53987 5 days ago |
5-53968 5 days ago |
101-11967 101 days |
| 36850 |
whocares-abt author:whocares-abt |
feat(Combinatorics/SimpleGraph/Acyclic): add delete leaf from tree gives tree |
Added theorem stating Deleting a leaf from a tree produces a tree. |
t-combinatorics
new-contributor
|
5/0 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean |
1 |
7 |
['github-actions', 'vlad902'] |
nobody |
5-33758 5 days ago |
9-58746 9 days ago |
11-41367 11 days |
| 36837 |
nielstron author:nielstron |
feat(Computability/ContextFreeGrammar): Closure properties |
---
This PR is a rewrite of the closure property proofs of CFGs from scratch.
The proof follows the approach by Ullman and Hopcroft in
"Introduction to Automata Theory, Languages and Computation".
It should make #33601 #33592 and #33599 superfluous.
The main proof was created assisted by Aristotle, and then read and restructured by me.
Update: I noticed the same proof strategy would lend itself to show closure properties of regular languages, if there is interest in that.
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-computability
LLM-generated
|
1598/0 |
Mathlib.lean,Mathlib/Computability/ContextFreeGrammar.lean,Mathlib/Computability/ContextFreeGrammarClosure.lean,Mathlib/Computability/Language.lean,Mathlib/Data/List/Lemmas.lean |
5 |
3 |
['github-actions', 'nielstron'] |
nobody |
5-20797 5 days ago |
5-20847 5 days ago |
10-31112 10 days |
| 35600 |
yisiox author:yisiox |
feat(Computability): add Kleene's algorithm to prove regular languages have regex matching |
This PR adds a proof that every regular language has some regular expression matching it.
This was achieved by the following constructions and proofs of their correctness
- Define `toSingleεNFA` to transform any epsilon-NFA to an equivalent one with only a single start and accept state (and the type is `ExtendedState`)
- Define a bijection between `ExtendedState` and `Fin (FinEnum.card (ExtendedState σ))` to index the states
- Define `pathRegex` which implements Kleene's algorithm
- Define `toRegex` which takes an epsilon-NFA, applies `toSingleεNFA` on it, and computes the corresponding regex using `pathRegex`
The proofs of correctness chain together to yield `(toRegex M).matches' = M.accepts` which asserts the direction of Kleene's theorem required.
---
As in [#mathlib4 > Regular languages: the review queue @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Regular.20languages.3A.20the.20review.20queue/near/573958148), this overlaps with #15654, which uses GNFA instead but has been inactive.
[](https://gitpod.io/from-referrer/)
|
t-computability
new-contributor
|
492/0 |
Mathlib/Computability/EpsilonNFA.lean |
1 |
15 |
['YaelDillies', 'github-actions', 'yisiox'] |
YaelDillies assignee:YaelDillies |
4-57618 4 days ago |
6-38782 6 days ago |
25-40730 25 days |
| 33520 |
NoneMore author:NoneMore |
feat(ModelTheory/ElementarySubstructures): add a variant of Tarski-Vaught test taking sets as input |
There should exist an `ElementarySubstructure.copy` such that we can directly bundle the set itself instaed of its closure as an elementary substructure.
---
[](https://gitpod.io/from-referrer/)
|
t-logic
new-contributor
|
91/0 |
Mathlib/ModelTheory/ElementarySubstructures.lean |
1 |
3 |
['Citronhat', 'NoneMore', 'github-actions'] |
fpvandoorn assignee:fpvandoorn |
4-50171 4 days ago |
4-50235 4 days ago |
86-42015 86 days |
| 35394 |
HugLycan author:HugLycan |
feat(Tactic/Positivity): make positivity work for types that are not partial orders |
Make positivity work for types that are not partial orders
Most PositivityExt haven't been updated for non partial order cases yet. They will be updated in the later PR.
`Strictness` now does not depend `Q(PartialOrder $α)`, and the constructors of `Strictness` now have their order typeclass arguments. In order to help `Qq` synth instances property, we have to move `assertInstancesCommute` to inner branch, manually add `haveI'` or explicitly pass the order typeclass instance into `.positive`/`.nonnegative`.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-meta
|
611/322 |
Mathlib/Algebra/Order/AbsoluteValue/Basic.lean,Mathlib/Algebra/Order/Algebra.lean,Mathlib/Algebra/Order/BigOperators/Expect.lean,Mathlib/Algebra/Order/BigOperators/Ring/Finset.lean,Mathlib/Algebra/Order/Field/Basic.lean,Mathlib/Algebra/Order/Field/Power.lean,Mathlib/Algebra/Order/Floor/Extended.lean,Mathlib/Algebra/Order/Floor/Ring.lean,Mathlib/Algebra/Order/Module/Field.lean,Mathlib/Analysis/Complex/BorelCaratheodory.lean,Mathlib/Analysis/Complex/Order.lean,Mathlib/Analysis/SpecialFunctions/Bernstein.lean,Mathlib/Analysis/SpecialFunctions/Gamma/Basic.lean,Mathlib/Analysis/SpecialFunctions/Pow/NNReal.lean,Mathlib/Analysis/SpecialFunctions/Pow/Real.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Arctan.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/DerivHyp.lean,Mathlib/Combinatorics/Enumerative/DyckWord.lean,Mathlib/Combinatorics/SimpleGraph/Triangle/Removal.lean,Mathlib/Data/ENNReal/Basic.lean,Mathlib/Data/ENNReal/Real.lean,Mathlib/Data/EReal/Basic.lean,Mathlib/Data/EReal/Inv.lean,Mathlib/Data/EReal/Operations.lean,Mathlib/Data/NNReal/Defs.lean,Mathlib/Data/Nat/Totient.lean,Mathlib/Data/Rat/Cast/Order.lean,Mathlib/Data/Real/Sqrt.lean,Mathlib/MeasureTheory/Integral/Bochner/Basic.lean,Mathlib/MeasureTheory/Measure/Real.lean,Mathlib/NumberTheory/ArithmeticFunction/Misc.lean,Mathlib/NumberTheory/ArithmeticFunction/Zeta.lean,Mathlib/NumberTheory/LucasLehmer.lean,Mathlib/Tactic/Positivity/Basic.lean,Mathlib/Tactic/Positivity/Core.lean,Mathlib/Tactic/Positivity/Finset.lean,Mathlib/Topology/Algebra/InfiniteSum/Order.lean |
37 |
23 |
['HugLycan', 'JovanGerb', 'fpvandoorn', 'github-actions', 'joneugster'] |
JovanGerb assignee:JovanGerb |
4-48225 4 days ago |
11-51962 11 days ago |
11-54845 11 days |
| 36955 |
NoneMore author:NoneMore |
chore(ModelTheory/Types): expose `T` in `typesWith` and move it to `Theory` |
Make the `T : L.Theory` argument explicit in `typesWith` and place the definition in `FirstOrder.Language.Theory` to enable dot notation.
---
[](https://gitpod.io/from-referrer/)
|
t-logic
new-contributor
|
24/19 |
Mathlib/ModelTheory/Topology/Types.lean,Mathlib/ModelTheory/Types.lean |
2 |
2 |
['github-actions'] |
nobody |
4-37401 4 days ago |
9-27766 9 days ago |
9-27531 9 days |
| 37190 |
cjrl author:cjrl |
feat(Combinatorics): Set-Valued Pigeonhole Principle |
This PR contributes two theorems to combinatorics:
- `exists_lt_card_cover_of_card_biUnion_lt_card` is a set-valued version of the pigeonhole principle.
- `sum_card_eq_sum_card_cover_biUnion` is a set theoretic corollary of a double counting result proved for bipartite graphs (`Finset.sum_card_bipartiteAbove_eq_sum_card_bipartiteBelow`). This was needed to prove the above pigeonhole principle.
The motivation for these results is our Latin Square PR #36698. These results were proved in less general terms in that PR, but are independent of Latin Square considerations and so we have generalized and moved them into more relevant files.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-combinatorics
|
66/0 |
Mathlib/Combinatorics/Enumerative/DoubleCounting.lean,Mathlib/Combinatorics/Pigeonhole.lean |
2 |
3 |
['cjrl', 'github-actions'] |
nobody |
3-83882 3 days ago |
4-78601 4 days ago |
4-78374 4 days |
| 35329 |
BryceT233 author:BryceT233 |
feat(Data/Finsupp): add computational lemmas for cons and single |
This PR introduces `cons_eq_single_zero_iff` and `cons_eq_single_succ_iff`, which are helper lemmas designed to facilitate calculations (or simplification) of equalities involving `Finsupp.cons` and `Finsupp.single`.
---
[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
|
25/0 |
Mathlib/Data/Finsupp/Fin.lean |
1 |
2 |
['github-actions'] |
joneugster assignee:joneugster |
3-81454 3 days ago |
28-1716 28 days ago |
43-57149 43 days |
| 36889 |
KryptosAI author:KryptosAI |
feat(LinearAlgebra/Matrix/MoorePenrose): define the Moore-Penrose pseudo-inverse |
Defines `IsMoorePenroseInverse` and constructs the Moore-Penrose pseudo-inverse for matrices over `RCLike` fields. Closes #24787.
`Defs.lean` defines the predicate using the heterogeneous four-condition characterization from the issue, plus uniqueness for semigroups with `StarMul`.
`Basic.lean` constructs the inverse via orthogonal projection and `ker(f)ᗮ ≃ₗ range(f)`, then proves:
```lean
theorem exists_isMoorePenroseInverse (A : Matrix m n 𝕜) :
∃ (As : Matrix n m 𝕜), IsMoorePenroseInverse A As
def moorePenroseInverse (A : Matrix m n 𝕜) : Matrix n m 𝕜
lemma moorePenroseInverse_conjTranspose :
moorePenroseInverse (Aᴴ) = (moorePenroseInverse A)ᴴ
lemma moorePenroseInverse_eq_nonsing_inv (hA : IsUnit A) :
moorePenroseInverse A = A⁻¹
```
### AI disclosure
- **Gemini 2.5 Pro**: proof planning, initial code, edits
- **Claude Code (Opus 4.6)**: debugging, compilation, type-checking against mathlib4
I reviewed and directed all changes.
---
[](https://gitpod.io/from-referrer/) |
t-algebra
new-contributor
LLM-generated
label:t-algebra$ |
399/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Matrix/MoorePenrose/Basic.lean,Mathlib/LinearAlgebra/Matrix/MoorePenrose/Defs.lean |
3 |
25 |
['KryptosAI', 'github-actions', 'vihdzp'] |
dagurtomas assignee:dagurtomas |
3-81446 3 days ago |
9-24787 9 days ago |
9-25694 9 days |
| 36917 |
iarnoldy author:iarnoldy |
feat(LinearAlgebra/CliffordAlgebra): bivector Lie subalgebra |
Define the submodule of grade-n elements (n-vectors) in a Clifford algebra
and show that bivectors (n = 2) form a `LieSubalgebra` under the commutator
bracket. This gives the standard construction of so(Q) from Cl(Q).
Main definitions:
* `CliffordAlgebra.nvector` — grade-n submodule, spanned by n-fold products of ι
* `CliffordAlgebra.bivector` — nvector 2 Q, the bivector submodule
* `CliffordAlgebra.bivectorLieSubalgebra` — LieSubalgebra of bivectors
Main results:
* `CliffordAlgebra.lie_ι_mul_ι` — explicit commutator formula for bivector generators
* `CliffordAlgebra.lie_mem_bivector` — bracket closure of the bivector submodule
* `CliffordAlgebra.bivector_le_evenOdd_zero` — bivectors lie in the even part
The `LieModule` instance for `CliffordAlgebra Q` acting on itself is provided
explicitly (`instLieModuleSelf`) because automatic synthesis exceeds the default
heartbeat limit.
AI disclosure: This code was generated with AI assistance (Claude, Anthropic).
The submitter directed the construction and QA but is not a Lean programmer.
The mathematical content is classical (Doran & Lasenby, Ch. 3). Extra review
scrutiny is welcomed.
Co-authored-by: Claude
---
Open design questions for reviewers:
1. **Naming**: Is `nvector` the right name? Eric Wieser suggested generalizing
to n-vectors. Alternatives: `ιProd`, `grade`, or following the `exteriorPower`
pattern via `equivExterior` pullback.
2. **Scalar contamination**: The spanning set `{ι m₁ * ι m₂}` includes
`ι m * ι m = Q(m)` (scalars). Eric suggested pulling back `exteriorPower`
through `equivExterior` for pure grades (requires `Invertible (2 : R)`).
Happy to rework if that's preferred.
3. **instLieModuleSelf**: Should this be an upstream issue rather than a
local workaround? @ocfnash
4. **ι_mul_ι_comm'**: This may duplicate existing API (`ι_mul_ι_comm b a`
plus `polar_comm`). Happy to inline if reviewers prefer.
Discussed on Zulip: https://leanprover.zulipchat.com (Is there code for X? thread) |
new-contributor
t-algebra
LLM-generated
label:t-algebra$ |
338/0 |
Mathlib.lean,Mathlib/LinearAlgebra/CliffordAlgebra/Bivector.lean |
2 |
2 |
['github-actions'] |
dagurtomas assignee:dagurtomas |
3-81445 3 days ago |
10-1502 10 days ago |
10-2492 10 days |
| 37000 |
Qulinecier author:Qulinecier |
feat: generalize rank_submatrix_le to arbitrary column maps |
This PR generalizes `rank_submatrix_le` to allow an arbitrary function on columns
instead of requiring an `Equiv`. The previous version required `e : m₀ ≃ m` and
`[Fintype m]`, while this version only requires `c : n₀ → n` and `[Fintype n₀]`.
The previous version can be recovered as a special case of the new one.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
16/6 |
Mathlib/LinearAlgebra/Matrix/Rank.lean |
1 |
4 |
['Qulinecier', 'github-actions', 'themathqueen'] |
dagurtomas assignee:dagurtomas |
3-81440 3 days ago |
8-13418 8 days ago |
8-13183 8 days |
| 37193 |
JJYYY-JJY author:JJYYY-JJY |
docs(metric): add Main results sections for metric spaces |
Add Main results sections to metric-space definition modules
This PR improves discoverability in the metric-space definition modules by adding curated Main results sections and by fixing a stale internal file reference.
Add a Main results section to the pseudo-metric definitions module, highlighting key constructions and foundational lemmas.
Add a Main results section to the metric-space definitions module, highlighting core constructions and distance-based characterization lemmas.
Update the implementation note to point to the current pseudo-metric definitions path, clarifying where elementary pseudometric facts live.
This is a docstring-only change:
No declarations, theorem names, imports, instances, or proofs are changed;
only module docstrings in the two metric-space definition files are edited.
---
[](https://gitpod.io/from-referrer/) |
t-topology
new-contributor
|
25/3 |
Mathlib/Topology/MetricSpace/Defs.lean,Mathlib/Topology/MetricSpace/Pseudo/Defs.lean |
2 |
4 |
['copilot-pull-request-reviewer', 'github-actions'] |
j-loreaux assignee:j-loreaux |
3-81436 3 days ago |
4-78285 4 days ago |
4-78050 4 days |
| 37076 |
ertwro author:ertwro |
feat(Combinatorics/SimpleGraph/Hasse): Hasse diagram is triangle-free |
Add `SimpleGraph.hasse_cliqueFree_three`: the Hasse diagram of a preorder is triangle-free (`CliqueFree 3`).
This is the graph-theoretic formulation of `not_covBy_of_lt_of_lt`: if `a ⋖ b` and `b ⋖ c`, then `¬ a ⋖ c`, so no three elements can be pairwise adjacent in the Hasse diagram.
The proof extracts three vertices from a hypothetical 3-clique, case-splits on the covering directions (8 cases), and closes each by `not_covBy_of_lt_of_lt` (6 transitive cases) or `lt_asymm` (2 cyclic cases).
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
13/1 |
Mathlib/Combinatorics/SimpleGraph/Hasse.lean |
1 |
11 |
['SnirBroshi', 'ertwro', 'github-actions'] |
nobody |
3-71318 3 days ago |
6-60080 6 days ago |
6-59845 6 days |
| 35906 |
scp020 author:scp020 |
feat(Combinatorics/SimpleGraph/Walks): chords of walks |
Define `Walk.IsChord` and `Walk.IsChordless` predicates in a new file `SimpleGraph/Walks/Chord.lean`.
See "chord" in https://en.wikipedia.org/wiki/Glossary_of_graph_theory
---
[Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Walk.2EIsChordless.20live.20in.20mathlib.3F/with/575277309)
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
69/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Walks/Chord.lean |
2 |
53 |
['SnirBroshi', 'YaelDillies', 'github-actions', 'mathlib-merge-conflicts', 'scp020'] |
YaelDillies assignee:YaelDillies |
3-62668 3 days ago |
3-81814 3 days ago |
22-49981 22 days |
| 35287 |
arnoudvanderleer author:arnoudvanderleer |
feat(AlgebraicTopology/SimplicialSet): define isomorphisms in simplicial sets, and the coherent isomorphism simplicial set |
show that any edge in a simplicial set, that is the image of the forward edge of the coherent isomorphism under a simplicial set morphism, is an isomorphism.
---
[](https://gitpod.io/from-referrer/)
|
t-algebraic-topology
new-contributor
infinity-cosmos
|
343/3 |
Mathlib.lean,Mathlib/AlgebraicTopology/SimplicialSet/CoherentIso.lean,Mathlib/AlgebraicTopology/SimplicialSet/CompStruct.lean,Mathlib/AlgebraicTopology/SimplicialSet/StdSimplex.lean,Mathlib/CategoryTheory/CodiscreteCategory.lean |
5 |
80 |
['arnoudvanderleer', 'github-actions', 'joelriou', 'robin-carlier'] |
robin-carlier assignee:robin-carlier |
3-47418 3 days ago |
3-53109 3 days ago |
9-37350 9 days |
| 37027 |
mike1729 author:mike1729 |
refactor(LocallyConvex,Topology): split WeakDual/WeakSpace and rename WeakBilin |
Reorganize the weak topology files for cleaner dependencies:
1. **Rename** `Analysis.LocallyConvex.WeakDual` → `Analysis.LocallyConvex.WeakBilin`:
This file contains only general `WeakBilin` infrastructure (`LinearMap.toSeminormFamily`,
`weakBilin_withSeminorms`, `WeakBilin.locallyConvexSpace`, etc.) with no reference to
`WeakDual`. The name now reflects the content.
2. **Split** `Topology.Algebra.Module.WeakDual` into `WeakDual` and `WeakSpace`:
The `WeakSpace` type, its instances, and `toWeakSpace`/`toWeakSpaceCLM` move to a new
`Topology.Algebra.Module.WeakSpace`. This allows downstream files about weak spaces
to avoid depending on `WeakDual`.
3. **Add** `WeakSpace.seminormFamily` and `WeakSpace.withSeminorms` to
`Analysis.LocallyConvex.WeakSpace`: The weak topology on `WeakSpace 𝕜 E` is generated
by the seminorm family `fun f x ↦ ‖f x‖` indexed by `StrongDual 𝕜 E`, via the general
`LinearMap.weakBilin_withSeminorms` applied to the flipped `topDualPairing`.
Moves:
- Mathlib.Analysis.LocallyConvex.WeakDual -> Mathlib.Analysis.LocallyConvex.WeakBilin
- WeakSpace -> Mathlib.Topology.Algebra.Module.WeakSpace
- toWeakSpace -> Mathlib.Topology.Algebra.Module.WeakSpace
- toWeakSpaceCLM -> Mathlib.Topology.Algebra.Module.WeakSpace
CC @j-loreaux |
new-contributor
file-removed
|
192/114 |
Mathlib.lean,Mathlib/Analysis/LocallyConvex/WeakBilin.lean,Mathlib/Analysis/LocallyConvex/WeakSpace.lean,Mathlib/Analysis/Normed/Module/WeakDual.lean,Mathlib/Topology/Algebra/Module/WeakDual.lean,Mathlib/Topology/Algebra/Module/WeakSpace.lean |
6 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
3-20473 3 days ago |
5-50070 5 days ago |
7-48509 7 days |
| 35317 |
mkaratarakis author:mkaratarakis |
feat: lemmas for the analytic part of the proof of the Gelfond–Schneider theorem (Part 5/5) |
If a function `R : ℂ → ℂ` factors as `R z = (z - z₀) ^ r * R₁ z`, where `R₁` is analytic everywhere, then for any `k ≤ r`, there exists an everywhere analytic function `R₂ : ℂ → ℂ` such that the `k`-th iterated derivative of `R` is given by `deriv^[k] R z = (z - z₀) ^ (r - k) * (r! / (r - k)! * R₁ z + (z - z₀) * R₂ z)`.
This lemma is necessary for the proof of the Gelfond-Schneider theorem in subsequent PRs.
---
[](https://gitpod.io/from-referrer/)
|
t-number-theory
new-contributor
t-analysis
|
57/0 |
Mathlib/Analysis/Complex/CauchyIntegral.lean |
1 |
16 |
['MichaelStollBayreuth', 'github-actions', 'mkaratarakis'] |
nobody |
3-15235 3 days ago |
3-15235 3 days ago |
25-11833 25 days |
| 34138 |
pfaffelh author:pfaffelh |
feat(MeasureTheory): Introduce `MassFunction α` giving rise to a `Measure α ⊤` |
Define `MassFunction α := α → ℝ≥0∞`
Define `toMeasure (w : MassFunction α) : @Measure α ⊤` as a sum of diracs
Show properties of the resulting objects
This PR intends to start a more userfriendly interaction with probability mass functions (`PMF`). There are two main differences between `MassFunction` and `PMF`:
* `PMF` hast the additional property `HasSum 1`, making the resulting measure a probability measure. (For `MassFunction`, I intend to use the typeclass `IsProbabilityMeasure`in a later PR instead.)
* The `toMeasure` function of `MassFunction` directly defines the measure as a sum of diracs, which immediately makes computations possible.
Discussion thread on [zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/PMF.20Refactor.3A.20FunLike.20vs.20Definition.20Change)
- depends on: #37060
---
[](https://gitpod.io/from-referrer/)
|
t-measure-probability
new-contributor
|
252/1 |
Mathlib.lean,Mathlib/Algebra/Group/Indicator.lean,Mathlib/Algebra/GroupWithZero/Indicator.lean,Mathlib/Data/Set/Pairwise/Basic.lean,Mathlib/MeasureTheory/Measure/MassFunction.lean,Mathlib/Topology/Algebra/InfiniteSum/Basic.lean |
6 |
15 |
['DavidLedvinka', 'github-actions', 'metakunt', 'ocfnash', 'pfaffelh'] |
kex-y and ocfnash assignee:ocfnash assignee:kex-y |
3-6363 3 days ago |
7-6181 7 days ago |
70-9062 70 days |
| 36324 |
psinary-sketch author:psinary-sketch |
feat(NumberTheory/LSeries): Schwarz reflection for completedRiemannZeta₀ |
---
Three new theorems about `completedRiemannZeta₀`:
- `completedRiemannZeta₀_conj`: Schwarz reflection
`Λ₀(conj s) = conj(Λ₀(s))`
- `completedRiemannZeta₀_im_eq_zero_on_half`: the completed zeta
function is real-valued on the critical line
- `completedRiemannZeta₀_conj_eq_self_on_half`: equivalent fixed-point
formulation
The Schwarz reflection follows from the Mellin representation: the
kernel is real-valued, so the integral commutes with conjugation via
`integral_conj`. The critical-line results compose this with the
functional equation.
AI disclosure: Lean code developed with Claude (Anthropic) assistance in workflow. Mathematical content and proof strategies are original. All code verified locally with lake env lean before submission. |
t-number-theory
new-contributor
LLM-generated
|
147/0 |
Mathlib.lean,Mathlib/NumberTheory/LSeries/SchwarzReflection.lean |
2 |
13 |
['SnirBroshi', 'github-actions', 'psinary-sketch'] |
alexjbest assignee:alexjbest |
3-2880 3 days ago |
9-29734 9 days ago |
18-79709 18 days |
| 36937 |
Yaohua-Leo author:Yaohua-Leo |
feat(Algebra/Jordan): add first linearization lemmas for IsCommJordan |
[](https://gitpod.io/from-referrer/)
AI assistance disclosure: I used AI assistance for CI/debugging and module-structure fixes in this PR. The mathematical content and main lemmas were written by me, with help from @pelicanhere.
This PR adds a new file `Mathlib/Algebra/Jordan/Linearization.lean` containing linearization lemmas for the commutative Jordan identity.
Main declarations:
* `IsCommJordan.four_nsmul_associator_mul_add`
* `IsCommJordan.associator_mul_add`
These lemmas formalize a first linearization of the commutative Jordan identity using `associator`, following McCrimmon, Proposition 1.8.5.
---
I put these lemmas in a separate file because I expect follow-up linearization lemmas to belong naturally in the same place.
I am also happy to rename declarations or move the file if reviewers would prefer. |
t-algebra
new-contributor
label:t-algebra$ |
60/0 |
Mathlib.lean,Mathlib/Algebra/Jordan/Linearization.lean |
2 |
4 |
['Yaohua-Leo', 'github-actions', 'grunweg'] |
dagurtomas assignee:dagurtomas |
2-86328 2 days ago |
9-55027 9 days ago |
9-55420 9 days |
| 32807 |
WilliamCoram author:WilliamCoram |
feat: Define the Gauss norm for MvPowerSeries |
We adjust the current definition for Gauss norm on power series to work for multivariate power series.
If this seems acceptable I can refactor the single variable case.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
|
124/0 |
Mathlib.lean,Mathlib/RingTheory/MvPowerSeries/GaussNorm.lean |
2 |
25 |
['WilliamCoram', 'erdOne', 'fbarroero', 'github-actions', 'mathlib4-merge-conflict-bot', 'vihdzp'] |
erdOne and jcommelin assignee:jcommelin assignee:erdOne |
2-81583 2 days ago |
45-35507 45 days ago |
58-43134 58 days |
| 35707 |
BryceT233 author:BryceT233 |
feat(RingTheory/MvPowerSeries): introduce `truncTotal` |
This PR introduces the total degree truncation of multivariate formal power series when the index is finite, and uses it to establish the algebraic equivalence between `MvPowerSeries` and the adic completion of `MvPolynomial` with respect to the ideal spanned by all variables `idealOfVars`.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-ring-theory
|
213/2 |
Mathlib.lean,Mathlib/Data/Finsupp/Weight.lean,Mathlib/RingTheory/MvPowerSeries/Equiv.lean,Mathlib/RingTheory/MvPowerSeries/Trunc.lean |
4 |
7 |
['BryceT233', 'github-actions', 'joneugster', 'mathlib-bors', 'wwylele'] |
erdOne, jcommelin, riccardobrasca assignee:jcommelin assignee:riccardobrasca assignee:erdOne |
2-81579 2 days ago |
25-75374 25 days ago |
34-58030 34 days |
| 36386 |
SnkXyx author:SnkXyx |
feat(Algebra/MvPolynomial/Degrees): add some lemmas about `degreeOf` |
These lemmas are used in #36103
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
79/0 |
Mathlib/Algebra/MvPolynomial/Degrees.lean |
1 |
12 |
['Hagb', 'SnkXyx', 'dagurtomas', 'github-actions', 'mathlib-merge-conflicts'] |
dagurtomas assignee:dagurtomas |
2-75835 2 days ago |
2-75835 2 days ago |
20-38240 20 days |
| 36849 |
mike1729 author:mike1729 |
feat(Analysis/Normed/Module/SchauderBasis): basic sequences and Grünblum criterium |
This PR introduces the theory of basic sequences in Banach spaces, following Albiac–Kalton. Defines basic sequences in normed spaces, and prove the classical Grünblum criterium for recognizing them.
New definitions (in BasicSequence.lean)
- `BasicSequence`: a bundled ℕ-indexed sequence forming a Schauder basis for its algebraic span, with finite projection bound.
- `SatisfiesGrunblumCondition`: partial sums over initial segments are bounded by a constant times the full sum.
Main results
- `SatisfiesGrunblumCondition.basicSequence`: a nonzero sequence satisfying the Grünblum condition is a basic sequence.
- `SatisfiesGrunblumCondition.linearIndependent`: nonzero sequences satisfying that condition are linearly independent.
---
- [x] follow up to : #34209
- [ ] blocks : #35473
The next planned PRs:
- general selection principle for basic sequences
- characterization when a set contains a basic sequence in terms of weak closure and compactness
- Eberlein–Šmulian theorem
- weakly compact subsets of a Banach space are Fréchet–Urysohn spaces
[](https://gitpod.io/from-referrer/) |
file-removed
t-analysis
new-contributor
|
253/1 |
Mathlib.lean,Mathlib/Analysis/Normed/Module/SchauderBasis/Basic.lean,Mathlib/Analysis/Normed/Module/SchauderBasis/BasicSequence.lean |
3 |
2 |
['github-actions'] |
sgouezel assignee:sgouezel |
2-58574 2 days ago |
3-8455 3 days ago |
11-44362 11 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. |
t-topology
new-contributor
LLM-generated
|
269/0 |
Mathlib.lean,Mathlib/Topology/Algebra/Order/Floor.lean,Mathlib/Topology/Algebra/Order/PiecewiseLinear.lean |
3 |
8 |
['Vilin97', 'copilot-pull-request-reviewer', 'dagurtomas', 'github-actions', 'wwylele'] |
PatrickMassot assignee:PatrickMassot |
2-26076 2 days ago |
3-26942 3 days ago |
11-56788 11 days |
| 34599 |
cameronfreer author:cameronfreer |
feat(Logic/Equiv/Fintype): generalize toCompl and exists_extending_pair to finite source |
Generalize the Equiv subtype-extension API so it only needs finiteness of
the source subtype, then use that to drastically simplify
`Equiv.Perm.isMultiplyPretransitive`.
### Changes to `Logic/Equiv/Fintype.lean`
* **`Equiv.toCompl`**: generalize from `[Finite α]` to `[Finite {x | p x}]`.
New proof (due to tb65536) uses finset symmetric differences to avoid
needing finiteness of the ambient type.
* **`Equiv.extendSubtype`** and related lemmas: adapt to `[Finite {x | p x}]`.
* **`Equiv.Perm.exists_extending_pair`**: strengthen from `[Finite β]` to
`[Finite α]`. Given two injective functions `f, g : α → β` where `α` is
finite, there exists `σ : Perm β` with `σ ∘ f = g`. The target `β` can
now be infinite.
### Changes to `MultipleTransitivity.lean`
* **`Equiv.Perm.isMultiplyPretransitive`**: replace ~70-line manual
bijectivity construction with a two-line proof via
`exists_smul_eq_embedding`.
* **`exists_smul_eq_embedding`**: rewire to use `exists_extending_pair`
directly (removing the old cardinal-arithmetic proof
`exists_extending_pair_of_finite_source`).
### Application
Used in formalizing de Finetti's theorem (exchangeability ⇒ contractability):
https://github.com/cameronfreer/exchangeability/blob/03a854a2/Exchangeability/Contractability.lean#L459
Co-authored-by: tb65536 |
t-group-theory
new-contributor
|
51/79 |
Mathlib/GroupTheory/GroupAction/MultipleTransitivity.lean,Mathlib/Logic/Equiv/Fintype.lean |
2 |
26 |
['LLaurance', 'cameronfreer', 'github-actions', 'mathlib-merge-conflicts', 'tb65536'] |
nobody |
1-81594 1 day ago |
23-13573 23 days ago |
44-34312 44 days |
| 35976 |
Phelixh author:Phelixh |
feat: add add Liu's uncertainty theory foundations (core/distribution/process modules) |
---
[](https://gitpod.io/from-referrer/)
|
new-contributor |
2374/0 |
Mathlib.lean,Mathlib/Uncertainty/Base.lean,Mathlib/Uncertainty/BaseCore.lean,Mathlib/Uncertainty/BaseDistribution.lean,Mathlib/Uncertainty/BaseProcess.lean,Mathlib/Uncertainty/Uncertainty.lean |
6 |
26 |
['Phelixh', 'copilot-pull-request-reviewer', 'github-actions'] |
nobody |
1-34018 1 day ago |
1-34085 1 day ago |
1-39147 1 day |
| 35569 |
goliath-klein author:goliath-klein |
refactor(PiTensorProduct/{InjectiveNorm, ProjectiveNorm}): deprecate `injectiveSeminorm` |
This PR:
* Deprecates `PiTensorProduct.injectiveSeminorm` and supporting lemmas.
* Moves the theory of `liftEquiv` from InjectiveSeminorm.lean to ProjectiveSeminorm.lean.
No changes are introduced beyond adding deprecation notices, adapting docstrings, and moving material between files.
The PR leaves InjectiveSeminorm.lean almost empty. A new implementation of `injectiveSeminorm`, one which reflects the common mathematical definition, is to be done.
This is the third in a series of three PRs with the goal to [deprecate `PiTensorProuduct.injectiveSeminorm`](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/injectiveSeminorm/with/568798633).
---
- [ ] depends on: #35567
- [ ] depends on: #35568
Deprecations:
- injectiveSeminorm
- dualSeminorms_bounded
- injectiveSeminorm_apply
- norm_eval_le_injectiveSeminorm
- injectiveSeminorm_le_projectiveSeminorm
- injectiveSeminorm_tprod_le
Preliminary work toward a reimplementation is at #33969.
I've added Davood and myself to the "Authors" field, as we have now significantly refactored this module.
Co-authored-by: Davood H. T. Tehrani
[](https://gitpod.io/from-referrer/)
|
new-contributor |
221/232 |
Mathlib/Analysis/Normed/Module/PiTensorProduct/InjectiveSeminorm.lean,Mathlib/Analysis/Normed/Module/PiTensorProduct/ProjectiveSeminorm.lean |
2 |
5 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
1-28915 1 day ago |
1-28939 1 day ago |
2-60920 2 days |
| 36871 |
psinary-sketch author:psinary-sketch |
feat(Analysis/Analytic): nonvanishing in punctured neighborhood from derivative |
Add AnalyticAt.eventually_ne_nhdsWithin_of_deriv_ne_zero: if f is analytic at x and f'(x) ≠ 0, then f(w) ≠ f(x) in a punctured neighborhood of x.
No hypothesis on f(x) needed — stronger than the version in #36778. Placed in Order.lean per review feedback from @wwylele.
Split from #36778 (2 of 3).
AI disclosure: Lean code developed with Claude (Anthropic) assistance in workflow. Mathematical content and proof strategies are original. All code verified locally with lake env lean before submission. |
t-analysis
new-contributor
LLM-generated
|
13/1 |
Mathlib/Analysis/Analytic/Order.lean |
1 |
4 |
['github-actions', 'mathlib-merge-conflicts'] |
j-loreaux assignee:j-loreaux |
1-17601 1 day ago |
3-2722 3 days ago |
10-33369 10 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
---
|
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'] |
jsm28 assignee:jsm28 |
1-11486 1 day ago |
33-21049 33 days ago |
35-55100 35 days |
| 37006 |
hakii6 author:hakii6 |
feat(LinearAlgebra/Matrix/Block, Analysis/Normed/Algebra/MatrixExponential): add BlockTriangular.pow and BlockTriangular.exp |
# Summary
Add BlockTriangular.pow and BlockTriangular.exp for proving "det (exp A) = exp (trace A)"
# Which part using LLM
The part I used LLM is for
1. Searching duplicated theorems and lemmas I may missed (I already search them myself first).
2. Help me handle the "variables and signatures", the "letI" part, some of lemmas and theorems trivial but hard to find the true one.
3. After I finished, let them helped me check the structure match the disciplines of mathlib.
4. Check the steps PR match the disciplines of mathlib
Most things above are done by me first, then let them to make sure I'm not missing something.
# More context
More context can be found in a topic in "# new member" in Zulip
[#new members > (Matrix and NormedSpace.exp) | det (exp A) = exp (trace A)](https://leanprover.zulipchat.com/#narrow/channel/113489-new-members/topic/.28Matrix.20and.20NormedSpace.2Eexp.29.20.7C.20det.20.28exp.20A.29.20.3D.20exp.20.28trace.20A.29/with/580964688)
|
new-contributor
LLM-generated
|
54/1 |
Mathlib/Analysis/Normed/Algebra/MatrixExponential.lean,Mathlib/LinearAlgebra/Matrix/Block.lean,Mathlib/Topology/Instances/Matrix.lean |
3 |
59 |
['SnirBroshi', 'eric-wieser', 'github-actions', 'hakii6', 'wwylele'] |
nobody |
1-1015 1 day ago |
3-3983 3 days ago |
7-81373 7 days |
| 31662 |
edwin1729 author:edwin1729 |
feat(Topology/Order): topological basis of scott topology on Complete… |
…PartialOrder
---
[Zulip discussion](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/.3E.20Algebraic.20complete.20partial.20order.20and.20domain.20theory/with/536359313) for this PR.
(1/2) PRs in domain theory, proving that scott topologies over Algebraic DCPOs (`CompletePartialOrder`) are sober.
The main reference is [Renata, Duality in Domain Theory](https://alyata.github.io/documents/duality_domain_theory.pdf). But the statements can also be found in the canonical text [Abramsky and Jung](https://www.cs.ox.ac.uk/people/samson.abramsky/handbook.pdf)
This first PR proves two prerequisites, namely:
- the specialization order induced by the scott topology corresponds to the existing order of the DCPO. Prop 3.1.5 in [Duality in Domain Theory](https://alyata.github.io/documents/duality_domain_theory.pdf) and Prop 2.3.2(1) in [Abramsky and Jung](https://www.cs.ox.ac.uk/people/samson.abramsky/handbook.pdf)
- the upward closures of compact elements of the DCPO form a topological basis for the Scott Topology. Prop 3.5.2 in [Duality in Domain Theory](https://alyata.github.io/documents/duality_domain_theory.pdf) and Prop 2.3.6(2) in [Abramsky and Jung](https://www.cs.ox.ac.uk/people/samson.abramsky/handbook.pdf)
- [x] depends on: #33061
**The next PR is here:** #31670
[](https://gitpod.io/from-referrer/)
|
t-topology
new-contributor
|
239/1 |
Mathlib.lean,Mathlib/Topology/Order/ScottTopology.lean,Mathlib/Topology/Order/ScottTopologyDCPO.lean,docs/references.bib |
4 |
66 |
['b-mehta', 'edwin1729', 'github-actions', 'mathlib-merge-conflicts', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'plp127'] |
urkud assignee:urkud |
0-81356 22 hours ago |
23-36333 23 days ago |
30-2415 30 days |
| 37299 |
XC0R author:XC0R |
feat(NumberTheory): Chebyshev's lower bound on primorial |
## Summary
Prove `primorial(n) ≥ 2^(n/2)` for all `n ≥ 2` (Chebyshev's 1852 lower bound). This is the lower bound complement to `primorial_le_four_pow`. Addresses the TODO at `Chebyshev.lean` line 50: "Prove Chebyshev's lower bound."
### New file: `Mathlib/NumberTheory/PrimorialLowerBound.lean`
**Main theorems:**
- `two_pow_le_primorial`: `2 ^ n ≤ primorial (2 * n)` for `n ≥ 29`
- `two_pow_div_two_le_primorial`: `2 ^ (n / 2) ≤ primorial n` for `n ≥ 2`
**Key intermediates:**
- `centralBinom_le_pow_mul_primorial`: `C(2n,n) ≤ (2n)^{π(√(2n)+1)} * primorial(2n)`
- `eight_mul_sq_add_le_two_pow`: `8u² + 16u + 8 ≤ 2^u` for `u ≥ 10`
### Proof technique
Central binomial decomposition: from `four_pow_lt_mul_centralBinom` and `factorization_choose_le_log`, bound `C(2n,n)` above by `(2n)^{π(√(2n)+1)} * primorial(2n)`. Rearranging gives `primorial(2n) ≥ 2^n` for `n ≥ 29`. Base cases by `norm_num` + `decide`, large `n` analytically via `√n` factoring.
### AI disclosure
Claude (Anthropic) was used as a coding assistant for Lean tactic exploration, file structuring, and CI debugging. All proof strategy, mathematical content, and final code have been reviewed and are understood by the author. |
t-number-theory
new-contributor
|
234/0 |
Mathlib.lean,Mathlib/NumberTheory/PrimorialLowerBound.lean,Mathlib/NumberTheory/SmoothNumbers.lean |
3 |
21 |
['MichaelStollBayreuth', 'Parcly-Taxel', 'XC0R', 'github-actions', 'wwylele'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
0-77026 21 hours ago |
2-78923 2 days ago |
2-78803 2 days |
| 37010 |
pion2024 author:pion2024 |
`Sl2`update: add theorem `finrank_weightSpace_eq_one_of_isIrreducible` |
# Background:
I am a 2nd year undergrad student in mathematics currently self-teaching Lie algebra and representation theory.
Before starting the formalization, I searched for related keywords on Zulip and in the GitHub issues and commits. As far as I could tell, there were no existing results or ongoing attempts before I started.
All feedback is welcome. Even a quick check on the statement design/an idea on the generalization (cf Limitations below) would be incredibly helpful.
# Overview
In this PR, I added the new section `IsAlgClosedIrreducible` which formalizes the well-known theorem `finrank_weightSpace_eq_one_of_isIrreducible` for the Lie algebra $\mathfrak{sl}_2$ step by step. It proves that for a finite-dimensional irreducible representation of $\mathfrak{sl}_2$ over an algebraically closed field $K$ of characteristic zero, every non-trivial weight space has a dimension of exactly 1.
# Formalization Structure :
Instead of relying on explicit finite sums (`Finset.sum`) and manipulating coefficients, I heavily leverage Mathlib's abstractions in Submodule Lattice Theory and Coordinate-free Linear Algebra. The formalization proceeds in the following logic:
1. Existence of a Primitive Vector (`exists_primitiveVector`): I construct a primitive (highest-weight) vector by showing that repeated applications of the raising operator $e$ must eventually yield zero due to the finite-dimensionality of $M$ and the linear independence of eigenvectors corresponding to distinct eigenvalues.
2. The span of $f$-Tower as a Lie Submodule equals to the whole space (`fTowerLieSubmodule_eq_top`): I define the $f$-tower submodule as the $K$-span of $\{f^k m \mid k \in \mathbb{N}\}$. By proving its closure under the action of $f, h$, and $e$, I establish it as a Lie submodule. Since $M$ is irreducible, this submodule must be the entire space ($\top$).
3. Submodule Lattice Operations (`exists_mem_fTower_of_weightSpace_ne_bot`): To prove that every weight in $M$ is of the form $\mu_0 - 2k$, I use lattice operations (iSup, inf, and Disjoint) to avoid element-wise tracking. Since the $f$-tower spans $M$, the supremum of its weight spaces is $\top$. By leveraging `Module.End.eigenspaces_iSupIndep`, I show that any arbitrary non-trivial weight space would have a trivial intersection with $\top$ if its weight didn't belong to the sequence, yielding a contradiction.
4. Dimension Calculation via Basis Equivalence (`finrank_weightSpace_eq_one_of_isIrreducible`): Finally, I construct a basis from the non-zero elements of the $f$-tower. To show the weight space is 1-dimensional, I use `Basis.equivFun` to compare coefficients algebraically. This avoids heavy manual indexing and index-shifting, proving that any vector in the weight space $\mu_0 - 2k$ is merely a scalar multiple of $f^k m$.
# Use of AI:
I used Gemini 3.1 Pro for tactics, theorems, improvement suggestions, and error explanations. I fully understand and can vouch for all the modifications I have made to the file.
# Limitations:
I only managed to formalize the finite-dimensional version, although the theorem also holds in the infinite-dimensional case. In the infinite case the existence of a primitive vector is not guaranteed. A quick search suggests that we might need heavy tools like Casimir operators and the universal enveloping algebra, which are totally beyond my current level. I am looking into it, but since there is a significant mathematical gap, I thought it would be best to get this finite-dimensional version merged first. |
new-contributor
t-algebra
large-import
label:t-algebra$ |
354/0 |
Mathlib/Algebra/Lie/Sl2.lean |
1 |
4 |
['github-actions', 'mathlib-bors'] |
nobody |
0-32084 8 hours ago |
0-84468 23 hours ago |
0-85545 23 hours |
| 36491 |
aditya-ramabadran author:aditya-ramabadran |
feat(Analysis/Distribution): define Dirac delta distribution |
Defines Dirac delta distribution (classical)
Closes #36464
* Note: Used `continuous_eval_const` in defining Delta in Distribution.lean, rather than the way it's done in TemperedDistribution.lean (which could also work)
* Also chose to define for $x \in \Omega$ rather than all $x \in E$, can make the other way if that's better?
---
**Testing**:
```lean
example (x : E) : Continuous fun φ : 𝓓^{n}(Ω, F) => φ x :=
continuous_eval_const x
```
Lean builds successfully
[](https://gitpod.io/from-referrer/)
|
t-analysis
new-contributor
|
32/0 |
Mathlib/Analysis/Distribution/ContDiffMapSupportedIn.lean,Mathlib/Analysis/Distribution/Distribution.lean,Mathlib/Analysis/Distribution/TestFunction.lean |
3 |
12 |
['ADedecker', 'aditya-ramabadran', 'github-actions'] |
j-loreaux assignee:j-loreaux |
0-25184 6 hours ago |
0-25201 6 hours ago |
6-8260 6 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`.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-combinatorics
|
688/0 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/LatinSquare.lean,docs/references.bib |
3 |
73 |
['SnirBroshi', 'cjrl', 'eric-wieser', 'ghseeli', 'github-actions', 'vlad902'] |
nobody |
0-21926 6 hours ago |
2-77670 2 days ago |
12-61364 12 days |
| 37375 |
NoneMore author:NoneMore |
feat(SetTheory/Ordinal/FixedPointApproximants): add zero and limit lemmas for approximants |
Add helper lemmas `lfpApprox_zero`, `lfpApprox_limit`, and the corresponding `gfpApprox` lemmas by duality.
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory
new-contributor
|
26/0 |
Mathlib/SetTheory/Ordinal/FixedPointApproximants.lean |
1 |
7 |
['github-actions', 'vihdzp'] |
nobody |
0-20043 5 hours ago |
0-32325 8 hours ago |
0-32090 8 hours |
| 37374 |
NoneMore author:NoneMore |
feat(Topology/DerivedSet): add relative derived set lemmas |
Add `relDerivedSet`, `relDerivedSet_subset`, and `IsClosed.relDerivedSet_eq`.
---
[](https://gitpod.io/from-referrer/)
|
t-topology
new-contributor
|
12/0 |
Mathlib/Topology/DerivedSet.lean |
1 |
3 |
['github-actions', 'vihdzp'] |
nobody |
0-19808 5 hours ago |
0-32371 8 hours ago |
0-32136 8 hours |
| 37322 |
gw90 author:gw90 |
chore: minor edits to GNS construction files |
---
Fixing a typo in a docstring and making some edits for concision. No API changes.
|
new-contributor |
26/23 |
Mathlib/Analysis/CStarAlgebra/GelfandNaimarkSegal.lean,Mathlib/Topology/Algebra/LinearMapCompletion.lean |
2 |
5 |
['github-actions', 'themathqueen'] |
nobody |
0-19462 5 hours ago |
0-75655 20 hours ago |
2-6965 2 days |
| 36478 |
TJHeeringa author:TJHeeringa |
feat(Analysis/Matrix): Added Schur's product |
Added Schur's product, i.e. the Hadamard product of two finite positive semi-definite matrices is again a positive semi-definite matrix.
---
[](https://gitpod.io/from-referrer/)
|
t-analysis
new-contributor
|
32/0 |
Mathlib/Analysis/Matrix/Order.lean,Mathlib/LinearAlgebra/Matrix/Hermitian.lean |
2 |
16 |
['TJHeeringa', 'eric-wieser', 'github-actions', 'j-loreaux', 'themathqueen'] |
urkud assignee:urkud |
0-13021 3 hours ago |
0-57978 16 hours ago |
2-38979 2 days |
| 37319 |
PrParadoxy author:PrParadoxy |
feat(Algebra/Field/Power): weaken assumptions of Odd.neg_zpow |
The lemmas `Even.neg_zpow` and `Even.neg_one_zpow` are stated assuming
`[DivisionMonoid α] [HasDistribNeg α]`. However, `Odd.neg_zpow` and
`Odd.neg_one_zpow` currently assume the stronger `[DivisionRing α]`.
This PR weakens the assumption of the `Odd` lemmas to match their `Even`
counterparts.
---
According to the docstring, the purpose of `Mathlib.Algebra.Field.Power`
is to define `Field` with minimal imports. But after this PR, Power.lean
does not rely on `Mathlib.Algebra.Field.Defs` any more. Arguably, it
could be deprecated. The two results in the file could be stated in
`Mathlib.Algebra.Ring.Int.Parity` without any extra imports. Should we implement
this in the current or an additional PR?
Examples:
```
-- these all work:
example (z : ℤ) (h : Even z) : (-1 : ℂ)^z = 1 := Even.neg_one_zpow h
example (z : ℤ) (h : Even z) : (-1 : unitary ℂ)^z = 1 := Even.neg_one_zpow h
example (z : ℤ) (h : Odd z) : (-1 : ℂ)^z = -1 := Odd.neg_one_zpow h
-- but this fails without the PR:
example (z : ℤ) (h : Odd z) : (-1 : unitary ℂ)^z = -1 := Odd.neg_one_zpow h
```
[](https://gitpod.io/from-referrer/) |
new-contributor |
16/10 |
Mathlib/Algebra/Field/Power.lean,Mathlib/Tactic/FieldSimp/Lemmas.lean |
2 |
6 |
['eric-wieser', 'github-actions', 'goliath-klein'] |
nobody |
0-12468 3 hours ago |
2-18242 2 days ago |
2-20806 2 days |
| 36752 |
Ljon4ik4 author:Ljon4ik4 |
feat: Alternative definition of a tensor product for an algebra |
Let $A$ be an $R$-algebra and $M$ and $N$ $A$-modules.
Then the tensor product $M\otimes_A N$ can be constructed as a quotient of $M\otimes_R N$ by the submodule generated by elements of the shape $am\otimes n - m\otimes an$. This PR realizes this construction and shows that it is isomorphic to the general definition of $M\otimes_A N$.
As one consequence we obtain a description of the kernel of `mapOfCompatibleSMul'` as a span of elements of the shape $am\otimes n - m\otimes an$.
* I wasn't sure where exactly to put it: Currently it is in `Algebra.TensorProduct`, which I think could be a place for more results of tensor products over algebras in the long term, but maybe some file inside `Mathlib.LinearAlgebra.TensorProduct` could also make sense.
* I am not sure if it is very nice to mention 'variable (R A M N)' everywhere, they could also be defined as explicit in the top of the document, and explicitly omitted where unneeded.
* The `omit [IsScalarTower R A N] in` was suggested by the linter, I am not sure I understand why
* Since the relations contain negation, this procedure only works if some of the ingredients admit negation, one could imagine alternative versions (e.g. when $N$ admits negations and not $M$) but this seemed the most intuitive one.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
60/0 |
Mathlib.lean,Mathlib/Algebra/Algebra/TensorProduct.lean |
2 |
9 |
['Ljon4ik4', 'github-actions', 'mathlib-bors', 'ocfnash'] |
ocfnash assignee:ocfnash |
0-9522 2 hours ago |
0-20623 5 hours ago |
10-65598 10 days |
| 37061 |
tannerduve author:tannerduve |
feat(Computability): rename RecursiveIn to Nat.RecursiveIn and generalize to Primcodable types |
Rename `RecursiveIn` to `Nat.RecursiveIn` (protected) for the `ℕ →. ℕ` version, and introduce a new `RecursiveIn` that lifts `Nat.RecursiveIn` to partial functions between `Primcodable` types via `liftPrim`.
Also adds:
- `Nat.PrimrecIn`: primitive recursion relative to oracles
- `liftPrim` / `liftPrimrec`: encode typed functions as `ℕ →. ℕ` / `ℕ → ℕ`
- `RecursiveIn₂`, `ComputableIn`, `ComputableIn₂`, `PrimrecIn'`
- Basic API: `of_eq`, `of_eq_tot`, `subst`, `mono`, `partrec_of_zero`, `partrec_of_none`, `partrec_iff_forall_recursiveIn`, etc.
To be merged before #37062 |
t-computability
new-contributor
maintainer-merge
|
235/61 |
Mathlib/Computability/RecursiveIn.lean,Mathlib/Computability/TuringDegree.lean |
2 |
39 |
['Komyyy', 'eric-wieser', 'github-actions', 'tannerduve'] |
nobody |
0-7539 2 hours ago |
6-25705 6 days ago |
7-4933 7 days |
| 36731 |
michael-novak-math author:michael-novak-math |
feat: add a few basic definitions and classical results about differential geometry of plane curves |
We define the curvature function, normal vector function and the Frénet moving frame and we prove the Frénet equations for plane curves and the fundamental theorem of plane curves. |
new-contributor
t-differential-geometry
t-analysis
|
635/0 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/Calculus.lean,Mathlib/Geometry/PlaneCurves.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/FundThmCalculus.lean,docs/references.bib |
5 |
31 |
['Ruben-VandeVelde', 'github-actions', 'grunweg', 'michael-novak-math'] |
nobody |
0-5687 1 hour ago |
8-6411 8 days ago |
10-78302 10 days |
| 37189 |
Brian-Nugent author:Brian-Nugent |
feat(AlgebraicGeometry): The pushforward of a quasi-coherent sheaf between affines is quasi-coherent |
To be more precise, we show that if `AlgebraicGeometry.Scheme.Modules.fromTildeΓ` is an isomorphism then the same holds for the pushforward. This will show that being quasicoherent is stable under pushforward for affine morphisms once it is shown that `AlgebraicGeometry.Scheme.Modules.fromTildeΓ` being an isomorphism is equivalent to being quasicoherent.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor |
173/1 |
Mathlib/Algebra/Module/LocalizedModule/Basic.lean,Mathlib/AlgebraicGeometry/Modules/Tilde.lean,Mathlib/Topology/Sheaves/SheafCondition/Sites.lean |
3 |
2 |
['github-actions'] |
nobody |
0-5084 1 hour ago |
0-5111 1 hour ago |
0-4876 1 hour |