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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 |
| 33963 |
gasparattila author:gasparattila |
feat(Topology/UniformSpace/Closeds): completeness of `(Nonempty)Compacts` |
This PR generalizes the completeness result of `NonemptyCompacts` from metric spaces to uniform spaces.
---
- [x] depends on: #34036
[](https://gitpod.io/from-referrer/)
|
t-topology |
71/8 |
Mathlib/Topology/MetricSpace/Closeds.lean,Mathlib/Topology/UniformSpace/Closeds.lean |
2 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
PatrickMassot assignee:PatrickMassot |
44-58146 1 month ago |
44-58164 44 days ago |
55-48131 55 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 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
PatrickMassot assignee:PatrickMassot |
44-57487 1 month ago |
44-57505 44 days ago |
50-28847 50 days |
| 34270 |
gasparattila author:gasparattila |
feat(Topology/UniformSpace/Closeds): `(Nonempty)Compacts.toCloseds` is a closed embedding |
---
[](https://gitpod.io/from-referrer/)
|
t-topology |
36/35 |
Mathlib/Topology/MetricSpace/Closeds.lean,Mathlib/Topology/UniformSpace/Closeds.lean |
2 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
PatrickMassot assignee:PatrickMassot |
44-56995 1 month ago |
44-57014 44 days ago |
50-27990 50 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'] |
alreadydone assignee:alreadydone |
43-33884 1 month ago |
43-33946 43 days ago |
54-79268 54 days |
| 33817 |
FlAmmmmING author:FlAmmmmING |
fix(Combinatorics/Enumerative/Schroder.lean): Fix the definition and theorem of smallSchroder. |
In the previous definition, the small Schröder numbers were defined as
```LaTeX
s_0 = 1, s_1 = 1, s_2 = 1, s_3 = 3...
```
, which does not match the sequence listed in OEIS A006318. Moreover, this definition makes it difficult to correctly write the generating function for the small Schröder numbers. This PR fixes this issue.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-combinatorics
large-import
|
61/39 |
Mathlib/Combinatorics/Enumerative/Schroder.lean |
1 |
19 |
['FlAmmmmING', 'github-actions', 'vihdzp'] |
awainverse assignee:awainverse |
43-11926 1 month ago |
58-1202 58 days ago |
62-52566 62 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'] |
awainverse assignee:awainverse |
43-11923 1 month ago |
51-18298 51 days ago |
51-32308 51 days |
| 34028 |
floor-licker author:floor-licker |
feat(SimpleGraph): add max-flow/min-cut weak duality |
This PR introduces a basic s–t flow setup for undirected SimpleGraphs and proves the standard weak-duality
inequality: for any feasible flow f and any s–t cut S, value f ≤ cutCapacity S.
This is a small, self-contained lemma I extracted while working on larger graph-theoretic formalizations, in particular, results that will ultimately rely on a full max-flow/min-cut theorem. The full MFMC equality/existence statement is not included here. This is the weak-duality direction (∀ f S, value f ≤ cutCapacity S).
|
t-combinatorics
new-contributor
|
169/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/MaxFlowMinCut.lean |
2 |
13 |
['SnirBroshi', 'floor-licker', 'github-actions'] |
kmill assignee:kmill |
42-11933 1 month ago |
55-29622 55 days ago |
55-32740 55 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.
The other direction depends on #33458.
---
[](https://gitpod.io/from-referrer/)
|
t-logic
new-contributor
|
55/0 |
Mathlib/ModelTheory/ElementarySubstructures.lean |
1 |
3 |
['Citronhat', 'NoneMore', 'github-actions'] |
awainverse assignee:awainverse |
41-11884 1 month ago |
69-61505 69 days ago |
69-61412 69 days |
| 34171 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Hasse): Define the Eulerian path of a path graph |
---
Such statements are left for a future PR, since they add imports so we probably want to split them into a separate file:
```lean
theorem IsEulerian.ofPathGraph : ofPathGraph n |>.IsEulerian := by sorry
theorem IsHamiltonian.ofPathGraph : ofPathGraph n |>.IsHamiltonian := by sorry
theorem exists_path_iff_isContained_pathGraph :
(∃ (u v : V) (w : G.Path u v), w.val.support.length = n) ↔ pathGraph n ⊑ G := by
sorry
```
(the last statement also requires #33121, this PR gives the right-to-left implication and that PR gives the left-to-right)
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
37/1 |
Mathlib/Combinatorics/SimpleGraph/Hasse.lean |
1 |
9 |
['SnirBroshi', 'github-actions', 'vihdzp', 'vlad902'] |
kmill assignee:kmill |
39-79782 1 month ago |
51-17798 51 days ago |
52-50538 52 days |
| 32570 |
ksenono author:ksenono |
feat(Combinatorics/SimpleGraph): bipartite subgraphs and vertex-disjoint graphs for Konig's theorem |
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
22/0 |
Mathlib/Combinatorics/SimpleGraph/Bipartite.lean,Mathlib/Combinatorics/SimpleGraph/Subgraph.lean |
2 |
19 |
['SnirBroshi', 'github-actions', 'jcommelin', 'ksenono', 'vlad902'] |
kmill assignee:kmill |
38-21693 1 month ago |
38-21693 38 days ago |
90-57803 90 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'] |
PatrickMassot assignee:PatrickMassot |
37-40799 1 month ago |
37-40994 37 days ago |
46-42584 46 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'] |
eric-wieser and urkud assignee:urkud assignee:eric-wieser |
35-41710 1 month ago |
52-327 52 days ago |
52-8227 52 days |
| 34151 |
gasparattila author:gasparattila |
feat(Topology/Sets): product of `Closeds` |
---
[](https://gitpod.io/from-referrer/)
|
t-topology |
30/0 |
Mathlib/Topology/MetricSpace/Closeds.lean,Mathlib/Topology/Sets/Closeds.lean,Mathlib/Topology/Sets/Compacts.lean |
3 |
1 |
['github-actions'] |
PatrickMassot assignee:PatrickMassot |
35-35920 1 month ago |
53-32093 53 days ago |
53-32000 53 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'] |
pechersky assignee:pechersky |
33-12003 1 month ago |
37-80739 37 days ago |
37-83610 37 days |
| 34266 |
gasparattila author:gasparattila |
feat(Topology/Sets): basis of `(Nonempty)Compacts` |
---
[](https://gitpod.io/from-referrer/)
|
t-topology |
147/0 |
Mathlib/Topology/Bases.lean,Mathlib/Topology/Sets/VietorisTopology.lean |
2 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
PatrickMassot assignee:PatrickMassot |
33-12001 1 month ago |
44-57938 44 days ago |
50-34343 50 days |
| 34756 |
Hagb author:Hagb |
feat(Algebra/Order/Monoid/Unbundled/WithTop): `AddEquiv` between `WithBot` |
It is like `Equiv.withBotCongr` but preserving also addition (`AddEquiv`).
---
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'] |
mattrobball assignee:mattrobball |
32-11736 1 month ago |
36-12126 36 days ago |
38-52003 38 days |
| 34808 |
YaelDillies author:YaelDillies |
feat(Combinatorics/SimpleGraph): isolated vertices |
RFC for now. Do you think this is a reasonable definition to have? What should its API be?
From ProofBench
---
[](https://gitpod.io/from-referrer/)
|
RFC
t-combinatorics
|
3/0 |
Mathlib/Combinatorics/SimpleGraph/Basic.lean |
1 |
1 |
['github-actions'] |
kmill assignee:kmill |
32-11731 1 month ago |
38-26885 38 days ago |
38-26792 38 days |
| 26985 |
agjftucker author:agjftucker |
feat(Analysis/Calculus/ImplicitFunction): define implicitFunctionOfProdDomain |
This PR continues the work from #16743.
Original PR: https://github.com/leanprover-community/mathlib4/pull/16743
---
- [x] depends on: #28352
[](https://gitpod.io/from-referrer/) |
t-analysis
new-contributor
|
269/157 |
Mathlib.lean,Mathlib/Analysis/Calculus/Implicit.lean,Mathlib/Analysis/Calculus/ImplicitContDiff.lean,Mathlib/Analysis/Calculus/ImplicitFunction/ProdDomain.lean |
4 |
27 |
['agjftucker', 'github-actions', 'j-loreaux', 'mathlib-bors', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'winstonyin'] |
hrmacbeth assignee:hrmacbeth |
31-73862 1 month ago |
31-73862 31 days ago |
100-5821 100 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 |
59 |
['NoneMore', 'github-actions', 'mathlib4-merge-conflict-bot', 'staroperator'] |
awainverse assignee:awainverse |
31-67898 1 month ago |
63-77618 63 days ago |
91-29789 91 days |
| 34481 |
DAE123456 author:DAE123456 |
feat: Ore's Theorem |
Ore Theorem : Let G be a graph of order n ≥ 3 that satisfies the Ore property. Then G has a Hamilton cycle. |
t-combinatorics
new-contributor
|
3372/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Ore.lean |
2 |
25 |
['DAE123456', 'LLaurance', 'Ruben-VandeVelde', 'YaelDillies', 'github-actions', 'kim-em', 'tb65536', 'vlad902'] |
b-mehta assignee:b-mehta |
31-11849 1 month ago |
39-66864 39 days ago |
43-31885 43 days |
| 34722 |
GrigorenkoPV author:GrigorenkoPV |
feat(Data/Finset/RangeDistance): add |
---
Rebase of https://github.com/leanprover-community/mathlib4/pull/26347
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-data
|
34/0 |
Mathlib.lean,Mathlib/Algebra/Order/Group/Unbundled/Abs.lean,Mathlib/Data/Finset/RangeDistance.lean |
3 |
4 |
['GrigorenkoPV', 'github-actions', 'joneugster', 'plp127'] |
TwoFX assignee:TwoFX |
31-11845 1 month ago |
39-52656 39 days ago |
39-54468 39 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'] |
b-mehta assignee:b-mehta |
31-11841 1 month ago |
38-26654 38 days ago |
38-26561 38 days |
| 35122 |
Marygold-Dusk author:Marygold-Dusk |
feat: define C^n submersions |
This PR defines submersions between C^n manifolds. In the infinite-dimensional setting, submersions are defined via local normal forms rather than surjectivity of the mfderiv. A map f is a submersion at x if, in suitable charts around x and f x, it has the form (u, v) ↦ u after identifying the model space with a product.
We prove a few basic properties:
- being a submersion is a local property,
- products of submersions are submersions,
- the set of submersed points is open
Future PRs will prove that submersions are C^n and deduce equivalence with the standard definition in finite dimensions. From the path towards the regular value theorem.
This file was developed under the supervision of Michael Rothgang.
Co-authored-by: Michael Rothgang
---
Most of the design is analogues to submersions.
|
t-differential-geometry
new-contributor
|
596/0 |
Mathlib.lean,Mathlib/Geometry/Manifold/Submersion.lean |
2 |
2 |
['github-actions'] |
grunweg assignee:grunweg |
30-48265 1 month ago |
30-50039 30 days ago |
30-51361 30 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'] |
eric-wieser assignee:eric-wieser |
30-5244 1 month ago |
33-30107 33 days ago |
33-30014 33 days |
| 34969 |
kim-em author:kim-em |
feat(RingTheory/HopfAlgebra): prove antipode is antihomomorphism |
This PR proves that the antipode of a Hopf algebra is an antihomomorphism:
`antipode (a * b) = antipode b * antipode a`.
The proof uses the convolution algebra structure on `(A ⊗ A) →ₗ[R] A` and shows that `S ∘ μ` and `μ ∘ (S ⊗ S) ∘ comm` are both convolution inverses of `μ`, hence they must be equal by uniqueness of inverses.
This resolves a TODO listed in the file header.
🤖 Prepared with Claude Code |
t-ring-theory |
88/2 |
Mathlib/RingTheory/HopfAlgebra/Basic.lean |
1 |
1 |
['github-actions'] |
erdOne assignee:erdOne |
29-11983 1 month ago |
33-2233 33 days ago |
33-2140 33 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'] |
alreadydone assignee:alreadydone |
28-52283 1 month ago |
28-52349 28 days ago |
41-60118 41 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 |
733/0 |
Mathlib.lean,Mathlib/Data/EReal/Basic.lean,Mathlib/Topology/Semicontinuity/Basic.lean,Mathlib/Topology/Sion.lean,docs/references.bib |
5 |
10 |
['AntoineChambert-Loir', 'github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'riccardobrasca', 'thorimur'] |
dwrensha and kmill assignee:kmill assignee:dwrensha |
28-24878 1 month ago |
28-24878 28 days ago |
89-64438 89 days |
| 34069 |
artie2000 author:artie2000 |
feat(Algebra/Order/Algebra): algebra is ordered iff inclusion map is monotone |
* Prove that an extension of ordered semirings forms an ordered algebra iff the inclusion map is injective
* Reorganise section variables for clarity
The typeclass `PartialOrder α` in `IsOrderedModule.of_algebraMap_mono` can be generalised to `Preorder α`. This has no mathematical application and all the other lemmas are proved over a partially ordered type, so this generalisation was not made.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
t-order
label:t-algebra$ |
18/7 |
Mathlib/Algebra/Order/Algebra.lean |
1 |
1 |
['github-actions'] |
pechersky assignee:pechersky |
28-18994 1 month ago |
54-23530 54 days ago |
54-25435 54 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'] |
pechersky assignee:pechersky |
28-12017 1 month ago |
36-15543 36 days ago |
39-28876 39 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'] |
pechersky assignee:pechersky |
28-12016 1 month ago |
31-16599 31 days ago |
37-62436 37 days |
| 30900 |
vihdzp author:vihdzp |
feat: run-length encoding |
---
- [x] depends on: #30898
Moved from #17105.
[](https://gitpod.io/from-referrer/)
|
t-data |
167/0 |
Mathlib.lean,Mathlib/Data/List/RunLength.lean,Mathlib/Data/List/SplitBy.lean |
3 |
5 |
['github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'plp127'] |
TwoFX assignee:TwoFX |
27-12010 27 days ago |
31-15347 31 days ago |
31-15833 31 days |
| 34948 |
joneugster author:joneugster |
feat(scripts/autolabel): add option to configure number of applied labels |
add option to change the maximum number of labels the script can apply simultaneously.
This does not change the behaviour of the script. The option remains at `1`, but it prepares for potential future adjustments.
factored out from: #34066
---
[](https://gitpod.io/from-referrer/)
|
CI |
13/9 |
scripts/autolabel.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
adomani assignee:adomani |
27-11729 27 days ago |
27-11749 27 days ago |
28-24770 28 days |
| 35152 |
j-loreaux author:j-loreaux |
feat: add missing API for `lp E p` |
The API for `lp` is significantly underdeveloped. This PR attempts to rectify some of the shortcomings. In particular, we provide:
+ some missing tools for `Memℓp`, notably `memℓp_norm_iff` and `Memℓp.mono`.
+ some improved docstrings and more uniform notation for the non-dependent case; note that we also *remove* the notation `ℓ^∞(ι)` for `lp (fun _ : ι ↦ ℝ) ∞` on the basis that there are other choices besides `ℝ` which would make at least as much sense here, including `ℂ`.
+ bundled version of maps (evaluation, inclusion as a linear map, summation in `ℓ¹`)
as well as cleaning-up a few other odds and ends.
---
[](https://gitpod.io/from-referrer/)
|
t-analysis |
189/26 |
Mathlib/Analysis/InnerProductSpace/l2Space.lean,Mathlib/Analysis/Normed/Lp/lpSpace.lean,Mathlib/Topology/MetricSpace/Kuratowski.lean |
3 |
1 |
['github-actions'] |
sgouezel assignee:sgouezel |
26-12002 26 days ago |
30-22111 30 days ago |
30-22018 30 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'] |
eric-wieser assignee:eric-wieser |
25-40774 25 days ago |
25-41598 25 days ago |
25-41505 25 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'] |
adomani assignee:adomani |
25-39856 25 days ago |
25-41670 25 days ago |
25-41577 25 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 |
7 |
['SnirBroshi', 'eric-wieser', 'github-actions'] |
pechersky assignee:pechersky |
25-31819 25 days ago |
35-69028 35 days ago |
35-68935 35 days |
| 33275 |
YuvalFilmus author:YuvalFilmus |
feat(Trigonometric/Chebyshev/Extremal): Chebyshev polynomials maximize iterated derivatives |
We prove that Chebyshev polynomials maximized iterated derivatives at points x≥1.
---
- [x] depends on: #33259
- [x] depends on: #33274
[](https://gitpod.io/from-referrer/)
|
t-analysis |
74/1 |
Mathlib/Analysis/SpecialFunctions/Trigonometric/Chebyshev/Extremal.lean |
1 |
6 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
dupuisf assignee:dupuisf |
25-31129 25 days ago |
49-61054 49 days ago |
49-63292 49 days |
| 31425 |
robertmaxton42 author:robertmaxton42 |
feat(Topology): implement delaborators for non-standard topology notation |
Add delaborators for unary and binary notation related to non-standard topologies in the TopologicalSpace namespace.
---
[](https://gitpod.io/from-referrer/)
|
t-topology |
250/4 |
Mathlib.lean,Mathlib/Topology/Defs/Basic.lean,Mathlib/Util/DelabNonCanonical.lean,MathlibTest/Delab/TopologicalSpace.lean |
4 |
45 |
['eric-wieser', 'github-actions', 'jcommelin', 'kckennylau', 'robertmaxton42'] |
eric-wieser assignee:eric-wieser |
24-47051 24 days ago |
56-14220 56 days ago |
109-76034 109 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'] |
pechersky assignee:pechersky |
24-18027 24 days ago |
37-27503 37 days ago |
37-27410 37 days |
| 28546 |
Sfgangloff author:Sfgangloff |
feat(SymbolicDynamics): basic setup of Zd, full shift, cylinders, pat… |
This PR adds a **group-generic** foundation for symbolic dynamics over an arbitrary group `G`, together with convenient specializations for `ℤ` and `ℤ^d`.
Summary of additions:
- **Full shift and shift action**
- `abbrev FullShift (A G) := G → A` (inherits product topology from the Π-type).
- Right shift `shift g x` with convention `(shift g x) h = x (h * g)`.
- **Cylinders and topology**
- `cylinder U x : Set (G → A)` for finite `U : Finset G`.
- Cylinders are open under `[DiscreteTopology A]`; with a finite alphabet they are also closed.
- Equality with dependent products:
`cylinder U x = Set.pi (↑U) (fun i => ({x i} : Set A))`, enabling use of the `Set.pi` API.
- **Patterns, occurrences, and subshifts**
- `Pattern A G` with finite `support : Finset G` and `data : support → A`.
- `Pattern.occursIn p x g` (occurrence at translate `g`) and the expected shift law.
- `forbids F` and `Subshift A G` (closed, shift-invariant subsets).
- `FixedSupport A G U` with an equivalence to `(U → A)` to obtain finiteness.
- **Language on finite shapes and counting**
- `languageOn X U`, `languageCardOn X U`, and `patternCountOn Y U`.
- **Entropy along a shape sequence**
- `limsupAtTop` (as an `sInf` of eventual upper bounds).
- `entropyAlong X F hF := limsup (log (patternCountOn X (F n) + 1) / |F n|)`
for any nonempty finite shapes `F : ℕ → Finset G` (the `+ 1` avoids `log 0`).
- **Specializations**
- `IntShapes`: segments `[-n,n]` on `Multiplicative ℤ`, with `entropy_Z`.
- `ZdShapes`: boxes `[-n,n]^d` on `ℤ^d` (as functions `Fin d → ℤ`), with `entropy_Zd`.
Mathematical remarks:
- The API is **shape-parametric**: entropy is defined along user-provided finite shapes.
- On **amenable** groups, using a **Følner** sequence yields a canonical value (Ornstein–Weiss).
This PR does not assume amenability; the family of shapes is an explicit input.
Motivation:
Provide a clean, reusable base for symbolic dynamics on groups in mathlib.
Future work:
- Add a Følner predicate and prove shape-independence / limit existence on amenable groups.
- Expand the `ℤ`/`ℤ^d` toolkit (alternative shapes, mixing, factors).
- Develop 1D theory and, longer-term, multidimensional SFT results (e.g. along the lines of Hochman–Meyerovitch).
|
t-dynamics
new-contributor
|
746/0 |
Mathlib.lean,Mathlib/Dynamics/SymbolicDynamics/Basic.lean,Mathlib/Tactic/Translate/ToAdditive.lean |
3 |
180 |
['Sfgangloff', 'botbaki-review', 'eric-wieser', 'github-actions', 'kckennylau', 'mathlib4-merge-conflict-bot', 'sgouezel'] |
sgouezel assignee:sgouezel |
24-13496 24 days ago |
25-12794 25 days ago |
128-58571 128 days |
| 33252 |
SnirBroshi author:SnirBroshi |
chore(Combinatorics/SimpleGraph/Coloring): use `IsIndepSet` instead of `IsAntichain` to spell "a color class is an independent set" |
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
6/2 |
Mathlib/Combinatorics/SimpleGraph/Coloring.lean,Mathlib/Combinatorics/SimpleGraph/Partition.lean |
2 |
1 |
['github-actions'] |
b-mehta assignee:b-mehta |
23-12014 23 days ago |
35-15800 35 days ago |
47-55442 47 days |
| 34193 |
bwangpj author:bwangpj |
feat(Topology/Algebra/Ring): ContinuousAddEquiv.mulLeft, mulRight |
The additive homeomorphism from a topological ring to itself, induced by left/right multiplication by a unit.
From FLT.
---
[](https://gitpod.io/from-referrer/)
|
t-topology
FLT
maintainer-merge
|
25/0 |
Mathlib/Topology/Algebra/Ring/Basic.lean |
1 |
10 |
['bwangpj', 'dagurtomas', 'eric-wieser', 'github-actions', 'riccardobrasca'] |
dagurtomas assignee:dagurtomas |
22-73864 22 days ago |
51-68763 51 days ago |
51-75937 51 days |
| 33292 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/LineGraph): lift copies/isomorphisms to line-graph |
Non-injective homomorphisms (`G →g G'`) cannot be lifted to a homomorphism on line-graphs (`G.lineGraph →g G'.lineGraph`) because e.g. `∀ k > 1` there is a homomorphism from `pathGraph k` to `G'` iff `G'` has an edge, and `∀ n > 0, (pathGraph (n + 1)).lineGraph ≃ pathGraph n`, but there is no homomorphism from `pathGraph k` to `pathGraph 1` because it has no edges.
So for `G := pathGraph 3` and `G' := pathGraph 2` there is a `G →g G'` but no `G.lineGraph →g G'.lineGraph`.
But we can lift `Copy`/`Embedding`/`Iso`.
---
[](https://gitpod.io/from-referrer/)
|
large-import
t-combinatorics
|
45/4 |
Mathlib/Combinatorics/SimpleGraph/LineGraph.lean,Mathlib/Data/Sym/Sym2.lean |
2 |
6 |
['SnirBroshi', 'github-actions', 'tb65536'] |
b-mehta assignee:b-mehta |
21-4357 21 days ago |
21-5711 21 days ago |
74-65764 74 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 |
53/0 |
Mathlib/Combinatorics/SimpleGraph/Bipartite.lean |
1 |
55 |
['LessnessRandomness', 'SnirBroshi', 'b-mehta', 'github-actions', 'vlad902'] |
awainverse assignee:awainverse |
20-53965 20 days ago |
20-54797 20 days ago |
44-62898 44 days |
| 34144 |
IvanRenison author:IvanRenison |
feat(Data/ENat): add lemma `ENat.iInf_eq_coe_iff` |
Co-authored-by: SnirBroshi <26556598+SnirBroshi@users.noreply.github.com>
---
[Zulip thread](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/ENat.2EiInf_eq_nat_iff/with/568699219)
[](https://gitpod.io/from-referrer/)
|
t-data |
21/0 |
Mathlib/Data/ENat/Lattice.lean,Mathlib/Order/ConditionallyCompleteLattice/Basic.lean,Mathlib/Order/ConditionallyCompleteLattice/Indexed.lean |
3 |
16 |
['IvanRenison', 'Ruben-VandeVelde', 'SnirBroshi', 'eric-wieser', 'github-actions', 'tb65536'] |
TwoFX assignee:TwoFX |
20-29062 20 days ago |
20-29099 20 days ago |
48-51789 48 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]`.
---
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 |
37/36 |
Mathlib/Combinatorics/SimpleGraph/Clique.lean,Mathlib/Combinatorics/SimpleGraph/CompleteMultipartite.lean,Mathlib/Combinatorics/SimpleGraph/Extremal/Turan.lean |
3 |
1 |
['github-actions'] |
nobody |
20-15551 20 days ago |
20-15616 20 days ago |
20-15823 20 days |
| 35619 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Clique): intersection and union of cliques |
Plus a couple of lemmas.
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
29/0 |
Mathlib/Combinatorics/SimpleGraph/Clique.lean |
1 |
1 |
['github-actions'] |
nobody |
20-13388 20 days ago |
20-13481 20 days ago |
20-13388 20 days |
| 35011 |
whocares-abt author:whocares-abt |
feat(Combinatorics/SimpleGraph/Copy): add degree of copy less than original |
add two theorems relating degree of a graph and it's copy |
t-combinatorics
new-contributor
|
17/0 |
Mathlib/Combinatorics/SimpleGraph/Copy.lean |
1 |
12 |
['SnirBroshi', 'github-actions', 'themathqueen', 'vihdzp'] |
nobody |
18-72834 18 days ago |
32-73073 32 days ago |
32-72980 32 days |
| 33257 |
NickAdfor author:NickAdfor |
feat(Combinatorics/SimpleGraph/Bipartite): Odd Cycle Theorem (A Solution to TODO) |
Prove bipartite iff all cycles are even
This PR formalizes the classical graph theory theorem: a graph is bipartite if and only if all its cycles have even length.
Co-authored-by: Nick Adfor
Co-authored-by: Yue Sun
Co-authored-by: Aristotle AI
---
## Main results
- `SimpleGraph.bipartite_iff_all_cycles_even` : the main equivalence theorem
## Key supporting lemmas
- `SimpleGraph.even_length_iff_same_color` : parity lemma for 2-colorings
- `SimpleGraph.even_length_iff_even_bypass_length` : bypass length parity
- `SimpleGraph.even_cycle_length_of_path` : cycle construction lemma
- `SimpleGraph.bypass_eq_nil_of_closed` : closed path properties
## Proof outline
1. For bipartite graphs: use the 2-coloring to show that in a 2-coloring, a walk has even length iff its endpoints have the same color.
2. For cycles (start = end), this forces even length.
3. For the converse: if all cycles are even, construct a 2-coloring using the `two_colorable_iff_forall_loop_even` characterization.
4. Show this coloring is valid using bypass operations and path properties.
## Technical notes
- Uses `SimpleGraph.Walk` for path/cycle representation
- Handles both `IsPath` and `IsCycle` predicates
- Uses bypass operations (`takeUntil`, `dropUntil`, `bypass`) to analyze walks
- Requires `DecidableEq V` for some lemmas
- Uses classical logic for case analysis
## Reviewer notes
- The proof uses induction on walks and case analysis on colorings
- Some lemmas (like `even_length_iff_same_color`) could be extracted to more general locations
- All theorems are in the `SimpleGraph` namespace
- The `bipartite_iff_all_cycles_even` theorem provides the complete characterization |
t-combinatorics
new-contributor
|
164/8 |
Mathlib/Combinatorics/SimpleGraph/Bipartite.lean,Mathlib/Combinatorics/SimpleGraph/ConcreteColorings.lean |
2 |
70 |
['IvanRenison', 'NickAdfor', 'Rida-Hamadani', 'SnirBroshi', 'github-actions', 'kmill', 'mitchell-horner', 'vihdzp', 'vlad902'] |
kmill assignee:kmill |
18-12021 18 days ago |
34-10955 34 days ago |
42-18808 42 days |
| 30982 |
jsm28 author:jsm28 |
feat(Geometry/Euclidean/Angle/Incenter): angle bisection and the incenter |
Add lemmas relating the incenter and excenters of a simplex to angle bisection, both generally for a simplex and more specifically with oriented angles for a triangle.
More specific lemmas for a simplex (identifying exactly which excenter corresponds to which bisectors) will require various additional API for bisectors of angles betweeen oriented affine subspaces (but for the most common applications to typical plane geometry problems, I expect the triangle lemmas with oriented angles to be more useful).
---
- [ ] depends on: #30474
- [ ] depends on: #30477
- [ ] depends on: #30600
- [ ] depends on: #30703
- [ ] depends on: #30938
- [ ] depends on: #30981
[](https://gitpod.io/from-referrer/)
|
t-euclidean-geometry |
269/0 |
Mathlib.lean,Mathlib/Geometry/Euclidean/Angle/Incenter.lean |
2 |
6 |
['Parcly-Taxel', 'github-actions', 'jsm28', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'wwylele'] |
JovanGerb assignee:JovanGerb |
18-10341 18 days ago |
31-52029 31 days ago |
31-54414 31 days |
| 35631 |
SnirBroshi author:SnirBroshi |
feat(SimpleGraph/Walks/Operations): `p.dropLast.support` lemmas |
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
9/0 |
Mathlib/Combinatorics/SimpleGraph/Walks/Operations.lean |
1 |
2 |
['github-actions', 'vlad902'] |
nobody |
17-49295 17 days ago |
19-64452 19 days ago |
19-66024 19 days |
| 35664 |
Rida-Hamadani author:Rida-Hamadani |
feat(SimpleGraph): the adjacency matrix of empty and complete graphs |
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
11/0 |
Mathlib/Combinatorics/SimpleGraph/AdjMatrix.lean |
1 |
2 |
['IvanRenison', 'github-actions'] |
nobody |
17-33984 17 days ago |
19-14860 19 days ago |
19-14767 19 days |
| 35292 |
Rida-Hamadani author:Rida-Hamadani |
feat(SimpleGraph): taking twice from a walk equals taking the minimum |
this is an analogue to `List.take_take`.
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
5/0 |
Mathlib/Combinatorics/SimpleGraph/Walks/Operations.lean |
1 |
2 |
['SnirBroshi', 'github-actions'] |
nobody |
17-16390 17 days ago |
27-62684 27 days ago |
27-62591 27 days |
| 33985 |
YellPika author:YellPika |
feat(Order/OmegaCompletePartialOrder): `OmegaCompletePartialOrder` instance for `Sum` with basic `ωScottContinuous` lemmas |
This PR adds an `OmegaCompletePartialOrder` instance for `Sum`, along with `ωScottContinuous` lemmas for basic operations (`inl`, `inr`, `elim`). Appropriate lemmas are marked with `@[fun_prop]` so that the `fun_prop` tactic can automatically deduce `ωScottContinuous` proofs for functions involving `Sum`s (e.g. see the proof of `Sum.ωScottContinuous_map`).
---
- [x] depends on: #33941
[](https://gitpod.io/from-referrer/)
|
new-contributor
large-import
t-order
|
191/1 |
Mathlib/Data/Sum/Basic.lean,Mathlib/Data/Sum/Order.lean,Mathlib/Order/OmegaCompletePartialOrder.lean,Mathlib/Order/ScottContinuity.lean |
4 |
20 |
['Vierkantor', 'YellPika', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
bryangingechen assignee:bryangingechen |
17-12001 17 days ago |
28-40164 28 days ago |
38-2323 38 days |
| 35273 |
grunweg author:grunweg |
chore: replace `continuity` -> `fun_prop` in remaining auto-parameters |
Resurrected version of #13994. Let's look at the current fall-out and performance effect.
---
- [x] depends on: #35278
[](https://gitpod.io/from-referrer/)
|
t-topology |
23/16 |
Mathlib/Analysis/Convex/PathConnected.lean,Mathlib/Analysis/LocallyConvex/WeakSpace.lean,Mathlib/Analysis/SpecialFunctions/Arcosh.lean,Mathlib/Topology/Algebra/Algebra.lean,Mathlib/Topology/Algebra/Category/ProfiniteGrp/Basic.lean,Mathlib/Topology/Algebra/ContinuousMonoidHom.lean,Mathlib/Topology/Algebra/Module/Equiv.lean,Mathlib/Topology/Algebra/Module/LinearMap.lean,Mathlib/Topology/Algebra/SeparationQuotient/Basic.lean,Mathlib/Topology/Category/TopCat/Limits/Products.lean,Mathlib/Topology/Category/TopCat/ULift.lean,Mathlib/Topology/ContinuousMap/Basic.lean,Mathlib/Topology/ContinuousMap/Defs.lean,Mathlib/Topology/FiberPartition.lean |
14 |
4 |
['github-actions', 'grunweg', 'leanprover-radar', 'mathlib-dependent-issues'] |
urkud assignee:urkud |
17-11996 17 days ago |
23-68334 23 days ago |
23-81733 23 days |
| 35565 |
felixpernegger author:felixpernegger |
feat(Topology): sequentially T2 spaces |
Adds typeclass for topoligcal spaces where convergent sequences have a unique limit. This lies between T2 and T1 and is occassionally useful when T2 is not strictly required.
An example of a non T2 space with unique limit is the one point compactification of Q.
There are some more implications not in this PR, see https://topology.pi-base.org/properties/P000099
In particular, (countably) compact sets are closed in sequentially T2 spaces.
|
t-topology |
135/0 |
Mathlib.lean,Mathlib/Topology/SequentiallyHausdorff.lean |
2 |
1 |
['github-actions'] |
urkud assignee:urkud |
17-11991 17 days ago |
21-58689 21 days ago |
21-59140 21 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 |
1 |
['github-actions'] |
thorimur assignee:thorimur |
16-49880 16 days ago |
66-68675 66 days ago |
66-68582 66 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', 'euprunin', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'tb65536'] |
kim-em assignee:kim-em |
16-38354 16 days ago |
16-59151 16 days ago |
44-71815 44 days |
| 35402 |
samueloettl author:samueloettl |
feat(Dynamics/BirkhoffSum): birkhoffAverage const |
---
I think this might be useful.
My feeling tells me that 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'] |
urkud assignee:urkud |
16-12023 16 days ago |
19-21697 19 days ago |
25-54892 25 days |
| 31595 |
astrainfinita author:astrainfinita |
chore: redefine `Ideal.IsPrime` |
Redefine `Ideal.IsPrime` to make it correct for non-commutative cases
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
333/100 |
Mathlib/Algebra/Order/Ring/Ordering/Defs.lean,Mathlib/RingTheory/DedekindDomain/Ideal/Lemmas.lean,Mathlib/RingTheory/GradedAlgebra/Radical.lean,Mathlib/RingTheory/Ideal/AssociatedPrime/Basic.lean,Mathlib/RingTheory/Ideal/Maps.lean,Mathlib/RingTheory/Ideal/Maximal.lean,Mathlib/RingTheory/Ideal/MinimalPrime/Noetherian.lean,Mathlib/RingTheory/Ideal/Oka.lean,Mathlib/RingTheory/Ideal/Operations.lean,Mathlib/RingTheory/Ideal/Over.lean,Mathlib/RingTheory/Ideal/Pointwise.lean,Mathlib/RingTheory/Ideal/Prime.lean,Mathlib/RingTheory/Ideal/Prod.lean,Mathlib/RingTheory/Ideal/Quotient/Basic.lean,Mathlib/RingTheory/Ideal/Quotient/Operations.lean,Mathlib/RingTheory/IsPrimary.lean,Mathlib/RingTheory/Localization/AtPrime/Basic.lean,Mathlib/RingTheory/Localization/Ideal.lean,Mathlib/RingTheory/Polynomial/Basic.lean,Mathlib/RingTheory/PrincipalIdealDomain.lean,Mathlib/RingTheory/Spectrum/Prime/Topology.lean,Mathlib/RingTheory/Valuation/Basic.lean |
22 |
32 |
['alreadydone', 'artie2000', 'astrainfinita', 'erdOne', 'github-actions', 'leanprover-bot', 'leanprover-radar', 'mathlib4-merge-conflict-bot'] |
alreadydone assignee:alreadydone |
16-912 16 days ago |
16-5308 16 days ago |
44-65173 44 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'] |
kim-em assignee:kim-em |
15-48014 15 days ago |
15-47993 15 days ago |
26-43045 26 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 |
53/31 |
Mathlib/Tactic/FunProp/Core.lean,Mathlib/Tactic/FunProp/FunctionData.lean,Mathlib/Tactic/FunProp/Theorems.lean,MathlibTest/fun_prop_dev.lean |
4 |
1 |
['github-actions'] |
JovanGerb assignee:JovanGerb |
15-12026 15 days ago |
18-26117 18 days ago |
18-26024 18 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 |
['euprunin', 'github-actions', 'leanprover-radar', 'vihdzp'] |
nobody |
14-78097 14 days ago |
19-24202 19 days ago |
19-24109 19 days |
| 35084 |
edegeltje author:edegeltje |
feat(Combinatorics/SimpleGraph): The 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 |
106/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Cayley.lean |
2 |
27 |
['SnirBroshi', 'edegeltje', 'github-actions', 'vihdzp', 'vlad902'] |
nobody |
14-57505 14 days ago |
28-27034 28 days ago |
31-50741 31 days |
| 33458 |
NoneMore author:NoneMore |
feat(ModelTheory): add lifting for embeddings to languages with constants |
Prepare for a generalized Tarski-Vaught test with a set as input instead of a substructure.
---
[](https://gitpod.io/from-referrer/)
|
t-logic
new-contributor
|
46/0 |
Mathlib/ModelTheory/ElementaryMaps.lean,Mathlib/ModelTheory/LanguageMap.lean |
2 |
7 |
['Citronhat', 'NoneMore', 'fpvandoorn', 'github-actions'] |
fpvandoorn assignee:fpvandoorn |
14-53172 14 days ago |
14-53390 14 days ago |
70-65876 70 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`
---
- [x] depends on: #21834
### 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
- #21848
[](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 |
14-49154 14 days ago |
14-49176 14 days ago |
17-1178 17 days |
| 34583 |
adomani author:adomani |
feat: basic properties of subnormal subgroups |
This is a follow up to #34284.
Co-authored-by: Inna Capdeboscq
---
[](https://gitpod.io/from-referrer/)
|
large-import
t-group-theory
|
107/3 |
Mathlib/Algebra/Group/Conj.lean,Mathlib/Algebra/Group/Subgroup/Pointwise.lean,Mathlib/GroupTheory/IsSubnormal.lean |
3 |
38 |
['LLaurance', 'adomani', 'github-actions', 'tb65536'] |
mattrobball assignee:mattrobball |
14-45278 14 days ago |
14-45089 14 days ago |
30-40198 30 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'] |
grunweg assignee:grunweg |
14-43321 14 days ago |
19-31066 19 days ago |
19-31648 19 days |
| 35857 |
AlexeyMilovanov author:AlexeyMilovanov |
feat(Logic.Equiv.BijectiveBase2): add bijective base-2 numeration |
This PR introduces a formalization of the bijective base-2 numeration system.
Unlike standard binary representation, bijective base-2 avoids the "leading zeros" problem, providing a strict mathematical bijection between natural numbers (`ℕ`) and lists of booleans (`List Bool`).
**Main additions:**
* `Equiv.BijectiveBase2.toBits`: Encodes `ℕ` to `List Bool`.
* `Equiv.BijectiveBase2.ofBits`: Decodes `List Bool` to `ℕ`.
* `equivBijectiveBase2`: The formal `ℕ ≃ List Bool` equivalence.
*(Note: This replaces my previously closed PR to avoid the terminology clash between "Dyadic" and dyadic rationals. The namespace and definitions have been updated accordingly).*
*(Note: Used AI to assist with standardizing proof structures).* |
t-logic
new-contributor
|
95/0 |
Mathlib.lean,Mathlib/Logic/Equiv/ListNatBijective.lean |
2 |
4 |
['AlexeyMilovanov', 'SnirBroshi', 'github-actions'] |
nobody |
14-24155 14 days ago |
14-33227 14 days ago |
14-33591 14 days |
| 35776 |
IvanRenison author:IvanRenison |
feat(Combinatorics): define `HasAdj` for capturing the common structure of different kinds of (simple) graphs |
We add a vertex set considering that we want to refactor `SimpleGraph` to also use one
---
This pr replaces #4127
Zulip discussion: https://leanprover.zulipchat.com/#narrow/channel/252551-graph-theory/topic/HasAdj/with/575843445
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
101/0 |
Mathlib.lean,Mathlib/Combinatorics/Digraph/HasAdj.lean,Mathlib/Combinatorics/HasAdj/Basic.lean,Mathlib/Combinatorics/SimpleGraph/HasAdj.lean |
4 |
1 |
['github-actions'] |
nobody |
14-22235 14 days ago |
14-22235 14 days ago |
14-22142 14 days |
| 35423 |
Rob23oba author:Rob23oba |
feat: add congruence lemmas for `Function.update` and `Pi.single` |
Adds `simp` congruence lemmas to `Function.update` and `Pi.single` that are specialized for the non-dependent case. See also [#mathlib4 > Simp fails to apply with `Function.update`](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Simp.20fails.20to.20apply.20with.20.60Function.2Eupdate.60/with/573889929).
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
29/6 |
Mathlib/Algebra/Notation/Pi/Basic.lean,Mathlib/Logic/Function/Basic.lean,Mathlib/NumberTheory/ModularForms/QExpansion.lean,Mathlib/RepresentationTheory/Tannaka.lean,Mathlib/Topology/Algebra/InfiniteSum/Basic.lean |
5 |
9 |
['Rob23oba', 'eric-wieser', 'github-actions', 'joneugster', 'loefflerd'] |
thorimur assignee:thorimur |
14-17790 14 days ago |
24-66334 24 days ago |
25-15533 25 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 |
10/10 |
Mathlib/Combinatorics/SimpleGraph/Circulant.lean |
1 |
4 |
['SnirBroshi', 'github-actions', 'vihdzp', 'vlad902'] |
kmill assignee:kmill |
14-12047 14 days ago |
28-54340 28 days ago |
28-54247 28 days |
| 35592 |
SnirBroshi author:SnirBroshi |
chore(Order/Defs/Unbundled): deprecate `def Transitive` in favor of `class IsTrans` |
---
[`def Transitive`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Order/Defs/Unbundled.html#Transitive)
[`class IsTrans`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Order/Defs/Unbundled.html#IsTrans)
[Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Relation.20properties.20duplication/near/544638270)
[](https://gitpod.io/from-referrer/)
|
t-order |
141/110 |
Mathlib/Algebra/Group/Semiconj/Defs.lean,Mathlib/CategoryTheory/Abelian/Pseudoelements.lean,Mathlib/CategoryTheory/IsConnected.lean,Mathlib/Combinatorics/SimpleGraph/CompleteMultipartite.lean,Mathlib/Combinatorics/SimpleGraph/FiveWheelLike.lean,Mathlib/Computability/Reduce.lean,Mathlib/Data/List/MinMax.lean,Mathlib/Data/Seq/Computation.lean,Mathlib/Data/WSeq/Relation.lean,Mathlib/GroupTheory/FreeGroup/Basic.lean,Mathlib/LinearAlgebra/LinearIndependent/Lemmas.lean,Mathlib/Logic/Relation.lean,Mathlib/ModelTheory/Order.lean,Mathlib/ModelTheory/Semantics.lean,Mathlib/Order/Defs/Unbundled.lean,Mathlib/Order/Interval/Finset/Basic.lean,Mathlib/Order/Quotient.lean,Mathlib/Order/RelClasses.lean,Mathlib/Topology/Connected/Clopen.lean,Mathlib/Topology/Metrizable/Uniformity.lean |
20 |
1 |
['github-actions', 'vihdzp'] |
pechersky assignee:pechersky |
14-12043 14 days ago |
21-6989 21 days ago |
21-8508 21 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'] |
TwoFX assignee:TwoFX |
14-12041 14 days ago |
19-61946 19 days ago |
19-76359 19 days |
| 35628 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Maps): characterize `neighborSet` and `edgeSet` across an embedding |
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
40/0 |
Mathlib/Combinatorics/SimpleGraph/Maps.lean |
1 |
1 |
['github-actions'] |
nobody |
13-85285 13 days ago |
20-629 20 days ago |
20-536 20 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 |
['eric-wieser', 'euprunin', 'github-actions', 'leanprover-radar', 'robin-carlier'] |
eric-wieser assignee:eric-wieser |
13-66331 13 days ago |
13-66331 13 days ago |
46-46534 46 days |
| 35716 |
IvanRenison author:IvanRenison |
feat(Combinatorics/SimpleGraph/Connectivity): add lemmas about reachable, degree and neighbor set |
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
28/6 |
Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean |
1 |
10 |
['IvanRenison', 'SnirBroshi', 'github-actions', 'vlad902'] |
nobody |
13-58662 13 days ago |
17-51908 17 days ago |
17-51815 17 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'] |
dwrensha assignee:dwrensha |
13-39842 13 days ago |
34-4593 34 days ago |
34-6152 34 days |
| 35858 |
vihdzp author:vihdzp |
doc(SetTheory/Ordinal/Arithmetic): improve documentation |
This PR does the following:
- Use better variable names in the docs (instead of just variants of the letter `o`).
- Remove mentions of things defined in other files, or specify that they are defined on other files.
---
[](https://gitpod.io/from-referrer/)
|
documentation
t-set-theory
|
14/21 |
Mathlib/SetTheory/Ordinal/Arithmetic.lean |
1 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
13-9192 13 days ago |
13-9216 13 days ago |
14-15838 14 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'] |
pechersky assignee:pechersky |
12-51314 12 days ago |
12-51337 12 days ago |
33-26401 33 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 assignee:grunweg |
12-44472 12 days ago |
12-44498 12 days ago |
26-74580 26 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'] |
kim-em assignee:kim-em |
12-42918 12 days ago |
36-46735 36 days ago |
36-46642 36 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 |
45 |
['JovanGerb', 'PatrickMassot', 'Vierkantor', 'github-actions', 'hrmacbeth', 'kim-em', 'mathlib4-merge-conflict-bot'] |
JovanGerb assignee:JovanGerb |
12-32196 12 days ago |
12-32196 12 days ago |
61-26807 61 days |
| 35325 |
SnirBroshi author:SnirBroshi |
feat(SimpleGraph/Acyclic): `ENat.card V ≤ 2 → G.IsAcyclic` |
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
26/3 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Data/Finite/Card.lean |
2 |
2 |
['Rida-Hamadani', 'github-actions'] |
nobody |
12-19698 12 days ago |
21-9916 21 days ago |
26-73771 26 days |
| 34554 |
SnirBroshi author:SnirBroshi |
feat(Data/Nat/Factorization/Divisors): calculate divisors using prime factorization |
---
There are over 200 files that import both `divisors` and `factorization`, but none of them seemed to fit, so I created a new file for this.
(`Data.Nat.Factorization.PrimePow` and `NumberTheory.ArithmeticFunction.Misc` are the best I found)
[](https://gitpod.io/from-referrer/)
|
t-data |
91/0 |
Mathlib.lean,Mathlib/Data/Nat/Factorization/Divisors.lean |
2 |
20 |
['SnirBroshi', 'YaelDillies', 'b-mehta', 'eric-wieser', 'github-actions', 'jcommelin', 'mathlib-bors', 'plp127'] |
joneugster assignee:joneugster |
12-12028 12 days ago |
16-68602 16 days ago |
17-29620 17 days |
| 31891 |
jsm28 author:jsm28 |
feat(Geometry/Euclidean/Sphere/OrthRadius): lemmas for setting up and using polars |
Add further lemmas about `orthRadius` that are of use in setting up and using poles and polars. In particular,
`ncard_inter_orthRadius_eq_two_of_dist_lt_radius` is the key part of showing that, in two dimensions, there are exactly two tangents to a circle from a point outside that circle (where the points of tangency lie on the polar of the point from which the two tangents are drawn).
---
Feel free to golf the proof of `ncard_inter_orthRadius_eq_two_of_dist_lt_radius`, it could probably be rather shorter.
---
- [ ] depends on: #32296
[](https://gitpod.io/from-referrer/)
|
t-euclidean-geometry |
265/7 |
Mathlib/Geometry/Euclidean/Sphere/OrthRadius.lean,Mathlib/Geometry/Euclidean/Sphere/Tangent.lean |
2 |
28 |
['Parcly-Taxel', 'eric-wieser', 'github-actions', 'jsm28', 'mathlib-merge-conflicts', 'mathlib4-dependent-issues-bot'] |
JovanGerb assignee:JovanGerb |
12-11866 12 days ago |
23-54764 23 days ago |
111-75898 111 days |
| 34632 |
mitchell-horner author:mitchell-horner |
feat(Combinatorics/SimpleGraph): add `BipartiteDoubleCover` |
`bipartiteDoubleCover G` has two vertices `inl v` and `inr v` for each vertex `v` in `G` such that `inl v` (`inr v`) is adjacent to `inr w` (`inl w`) iff `v` is adjacent to `w` in `G`.
---
This comes from splitting up #25841 into smaller PRs.
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
87/0 |
Mathlib/Combinatorics/SimpleGraph/Bipartite.lean |
1 |
10 |
['github-actions', 'mitchell-horner', 'vihdzp', 'vlad902'] |
nobody |
11-86080 11 days ago |
20-82274 20 days ago |
42-6201 42 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'] |
nobody |
11-77912 11 days ago |
11-77912 11 days ago |
11-77865 11 days |
| 34758 |
Hagb author:Hagb |
feat(RingTheory/MvPolynomial/MonomialOrder): misc lemmas |
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
52/2 |
Mathlib/RingTheory/MvPolynomial/MonomialOrder.lean |
1 |
7 |
['Hagb', 'erdOne', 'github-actions'] |
mattrobball assignee:mattrobball |
11-69505 11 days ago |
11-69561 11 days ago |
30-43323 30 days |
| 35805 |
adrianmartir author:adrianmartir |
feat(NumberTheory/Divisors): Add `infinite_setOf_divisors_iff` |
This proves that the set of divisors `{ m | m | n }` of a natural number `n` is infinite if and only if `n` is zero. The first proof draft was by @Aristotle-Harmonic.
---
[](https://gitpod.io/from-referrer/)
|
t-number-theory
new-contributor
|
10/0 |
Mathlib/NumberTheory/Divisors.lean |
1 |
5 |
['adrianmartir', 'alexjbest', 'github-actions'] |
alexjbest assignee:alexjbest |
11-66821 11 days ago |
15-64823 15 days ago |
15-64766 15 days |
| 34705 |
mpenciak author:mpenciak |
feat(AlgebraicGeometry): 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 |
109/2 |
Mathlib/LinearAlgebra/TensorProduct/Tower.lean,Mathlib/RingTheory/Grassmannian.lean |
2 |
7 |
['github-actions', 'mathlib-merge-conflicts', 'mpenciak', 'robin-carlier'] |
mariainesdff assignee:mariainesdff |
11-19723 11 days ago |
11-19747 11 days ago |
28-25340 28 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'] |
TwoFX assignee:TwoFX |
11-18499 11 days ago |
11-18558 11 days ago |
26-74133 26 days |
| 35693 |
euprunin author:euprunin |
chore: avoid passing explicit lemmas to `grind` and (terminal) `simp_all` where unnecessary |
The goal of this 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):
* `SimpleGraph.Walk.IsCycle.getVert_injOn`: 684 ms before, 596 ms after 🎉
* `List.HasPeriod.gcd`: 846 ms before, 807 ms after 🎉
* `List.Sublist.orderedInsert_sublist`: unchanged 🎉
* `Affine.Simplex.exists_forall_dist_eq_iff_exists_excenterExists_and_eq_excenter`: unchanged 🎉
* `Matrix.pow_apply_pos_iff_nonempty_path`: unchanged 🎉
* `RootPairing.Hom.coweightHom_injective`: unchanged 🎉
* `RootPairing.isReduced_iff'`: unchanged 🎉
* `Set.Ico_eq_Ico_iff`: unchanged 🎉
* `Set.Ioc_eq_Ioc_iff`: unchanged 🎉
Profiled using `set_option trace.profiler true in`.
This 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/)
|
|
9/9 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean,Mathlib/Data/List/PeriodicityLemma.lean,Mathlib/Data/List/Sort.lean,Mathlib/Geometry/Euclidean/Incenter.lean,Mathlib/LinearAlgebra/Matrix/Irreducible/Defs.lean,Mathlib/LinearAlgebra/RootSystem/Hom.lean,Mathlib/LinearAlgebra/RootSystem/Reduced.lean,Mathlib/Order/Interval/Set/LinearOrder.lean |
8 |
1 |
['github-actions'] |
dupuisf assignee:dupuisf |
11-12013 11 days ago |
18-27788 18 days ago |
18-27695 18 days |
| 35786 |
DavidLedvinka author:DavidLedvinka |
feat(Order): Add simp lemma for `IsRelUpperSet` and `IsRelLowerSet` |
This is useful in scenarios when `simp` can simplify the relation to true. |
t-order |
8/0 |
Mathlib/Order/UpperLower/Relative.lean |
1 |
3 |
['DavidLedvinka', 'eric-wieser', 'github-actions'] |
bryangingechen assignee:bryangingechen |
11-12006 11 days ago |
16-17195 16 days ago |
16-17102 16 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 |
2 |
['github-actions', 'joneugster'] |
mattrobball assignee:mattrobball |
11-12001 11 days ago |
15-16573 15 days ago |
15-17104 15 days |
| 26377 |
Whysoserioushah author:Whysoserioushah |
feat(RingTheory/SimpleRing/TensorProduct): tensor product of a simple algebra and a central simple algebra is simple |
co-authored-by: @jjaassoonn
---
|
t-ring-theory
large-import
|
326/8 |
Mathlib.lean,Mathlib/RingTheory/SimpleRing/TensorProduct.lean,Mathlib/RingTheory/TwoSidedIdeal/Kernel.lean,Mathlib/RingTheory/TwoSidedIdeal/Lattice.lean,Mathlib/RingTheory/TwoSidedIdeal/Operations.lean |
5 |
69 |
['Ruben-VandeVelde', 'Whysoserioushah', 'eric-wieser', 'github-actions', 'kbuzzard', 'kckennylau', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'vlad902'] |
kbuzzard assignee:kbuzzard |
10-76073 10 days ago |
24-16946 24 days ago |
29-27940 29 days |
| 34622 |
vihdzp author:vihdzp |
feat: Nat/Int casts on char two rings |
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
50/8 |
Mathlib/Algebra/CharP/Two.lean,Mathlib/Data/Set/Insert.lean |
2 |
10 |
['erdOne', 'eric-wieser', 'github-actions', 'vihdzp'] |
erdOne assignee:erdOne |
10-65847 10 days ago |
10-65907 10 days ago |
42-1752 42 days |
| 34784 |
tb65536 author:tb65536 |
refactor(GroupTheory/Commutator/Basic): to_additivize commutators |
This PR makes some progress on to_additivizing more of the group theory library.
I had to make the bracket instance scoped to avoid clashing with the Lie bracket.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
t-group-theory
label:t-algebra$ |
195/37 |
Mathlib/Algebra/Group/Commutator.lean,Mathlib/Algebra/Group/Conj.lean,Mathlib/Algebra/Group/Subgroup/Basic.lean,Mathlib/GroupTheory/Commutator/Basic.lean,Mathlib/GroupTheory/Focal.lean,Mathlib/GroupTheory/GroupAction/Quotient.lean,Mathlib/GroupTheory/GroupAction/SubMulAction/OfStabilizer.lean,Mathlib/GroupTheory/Solvable.lean,Mathlib/Tactic/Translate/ToAdditive.lean,Mathlib/Topology/Algebra/Group/TopologicalAbelianization.lean,MathlibTest/Group.lean,MathlibTest/toAdditiveIrredDef.lean |
12 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
mattrobball assignee:mattrobball |
10-35954 10 days ago |
10-36380 10 days ago |
37-67764 37 days |
| 35209 |
kim-em author:kim-em |
chore: use @[to_dual] extensively in CompleteLattice |
This PR adds `@[to_dual]` and `@[to_dual existing]` annotations extensively in `CompleteLattice/Defs.lean` and `CompleteLattice/Basic.lean`, auto-generating many dual theorems and deleting the hand-written versions.
[Diff relative to previous PR](https://github.com/kim-em/mathlib4/compare/kim/to-dual-bounds-basic...kim/to-dual-complete-lattice)
- [x] depends on: #35208
🤖 Prepared with Claude Code |
|
182/483 |
Mathlib/Order/Bounds/Basic.lean,Mathlib/Order/CompleteLattice/Basic.lean,Mathlib/Order/CompleteLattice/Defs.lean |
3 |
38 |
['github-actions', 'kim-em', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
dupuisf assignee:dupuisf |
10-14611 10 days ago |
10-14635 10 days ago |
17-9691 17 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 |
28/1 |
Mathlib/Combinatorics/SimpleGraph/Finite.lean,Mathlib/Combinatorics/SimpleGraph/StronglyRegular.lean |
2 |
6 |
['SnirBroshi', 'github-actions', 'vlad902'] |
nobody |
9-81547 9 days ago |
20-1896 20 days ago |
20-1803 20 days |
| 33348 |
AntoineChambert-Loir author:AntoineChambert-Loir |
feat(LinearAlgebra/Transvection): characterization of transvections among dilatransvections |
* `LinearEquiv.fixedReduce`. Pass a linear equivalence to the quotient by a fixed subspace.
* Characterize transvections among dilatransvections by the fact that their reduction is the identity.
---
- [x] depends on: #33347
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
322/8 |
Mathlib.lean,Mathlib/Algebra/Module/Submodule/Map.lean,Mathlib/LinearAlgebra/FiniteDimensional/Lemmas.lean,Mathlib/LinearAlgebra/FixedSubmodule.lean,Mathlib/LinearAlgebra/Transvection.lean |
5 |
23 |
['AntoineChambert-Loir', 'dagurtomas', 'github-actions', 'mathlib-merge-conflicts', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'ocfnash'] |
ocfnash assignee:ocfnash |
9-72319 9 days ago |
10-47331 10 days ago |
25-52086 25 days |
| 35327 |
SnirBroshi author:SnirBroshi |
feat(SimpleGraph/Acyclic): the union of two trees that share exactly one vertex is a tree |
---
A surprisingly painful proof for something that seems trivial when using a proof by drawing on the board.
To avoid any doubts: no AI was involved whatsoever.
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
95/0 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Walks/Operations.lean |
2 |
4 |
['SnirBroshi', 'github-actions', 'vbeffara', 'vlad902'] |
nobody |
9-49132 9 days ago |
27-16786 27 days ago |
27-16693 27 days |
| 34621 |
homeowmorphism author:homeowmorphism |
feat(GroupTheory/FreeGroup/Basic): deprecate `FreeGroup Empty ≃ Unit` using `Equiv.ofUnique`, add `Mul` suggestion using `MulEquiv.ofUnique` and add `FreeGroup α ≃* Multiplicative ℤ` |
feat(GroupTheory/FreeGroup/Basic): deprecate `FreeGroup Empty ≃ Unit` using `Equiv.ofUnique`, add `Mul` suggestion using `MulEquiv.ofUnique` and add `FreeGroup α ≃* Multiplicative ℤ`.
This is a dependency of a larger PR to formalize finitely presented groups https://github.com/leanprover-community/mathlib4/pull/34236.
---
Originally, the PR showed that `FreeGroup Empty ≃* Unit` and `FreeGroup α ≃* Multiplicative ℤ`. During the review process, I was asked to generalized `Unit` to any `Unique` type and `Empty` to `IsEmpty`. Through working on this, it has been realized that the pre-existing `FreeGroup Empty ≃ Unit` should be deprecated using `Equiv.ofUnique` and a multiplicative version `FreeGroup Empty ≃* Unit` can be obtained similarly using `MulEquiv.ofUnique` and there was no need to explicitly upgrade the equivalence. The title has been changed to reflect this.
[](https://gitpod.io/from-referrer/)
|
t-group-theory
new-contributor
|
45/6 |
Mathlib/GroupTheory/FreeGroup/Basic.lean |
1 |
40 |
['b-mehta', 'copilot-pull-request-reviewer', 'github-actions', 'homeowmorphism', 'kbuzzard', 'riccardobrasca', 'tb65536'] |
riccardobrasca assignee:riccardobrasca |
9-46028 9 days ago |
25-35700 25 days ago |
32-52188 32 days |
| 35665 |
BryceT233 author:BryceT233 |
feat(RingTheory/AdicCompletion): introduce AdicCompletion.finsuppSum |
This is split from #34936 to make the review process easier.
It introduces `AdicCompletion.finsuppSum`, which is a `Finsupp` version of `AdicCompletion.sum`.
---
- [x] depends on: #35595
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-ring-theory
|
93/0 |
Mathlib/LinearAlgebra/Finsupp/LSum.lean,Mathlib/RingTheory/AdicCompletion/Functoriality.lean |
2 |
4 |
['github-actions', 'joneugster', 'mathlib-dependent-issues'] |
riccardobrasca assignee:riccardobrasca |
9-12020 9 days ago |
12-79796 12 days ago |
18-5777 18 days |
| 35763 |
kim-em author:kim-em |
chore(scripts): make rm_set_option cache opt-in via --resume |
This PR changes `scripts/rm_set_option.py` so the progress cache is only used when explicitly requested via `--resume`, rather than being on by default (with `--no-resume` to disable).
The previous default was unsafe: the cache only checks that the target module's own SHA256 is unchanged, so edits to upstream modules between runs would be silently ignored, causing the script to skip modules that should be reprocessed.
🤖 Prepared with Claude Code |
|
4/4 |
scripts/README.md,scripts/rm_set_option.py |
2 |
1 |
['github-actions'] |
dupuisf assignee:dupuisf |
9-12018 9 days ago |
16-58223 16 days ago |
16-58130 16 days |
| 34937 |
tannerduve author:tannerduve |
feat(Computability): semilattice instance on Turing degrees |
This PR equips `TuringDegree` with a `SemilatticeSup` structure by introducing the Turing join, proving usual least-upper-bound properties, and lifting these to degrees (quotients). In support of this, it extends the existing `RecursiveIn` API with some lemmas used in the degree theory.
The main contribution is the `SemilatticeSup` instance on `TuringDegree`. We define the Turing join as follows
```
turingJoin (f g) : ℕ → ℕ -- notation: f ⊕ g
```
and prove it is a least upper bound:
* `left_le_join`, `right_le_join`
* `join_le`
* monotonicity and congruence lemmas (`join_mono`, `join_congr`)
We lift this to degrees in `TuringDegree.sup`, `TuringDegree.le_sup_left`, `TuringDegree.le_sup_right`, and `TuringDegree.sup_le`
```
instance : SemilatticeSup TuringDegree
```
**New additions to `RecursiveIn.lean`:**
- `liftPrim`, `liftPrimrec`, `RecursiveIn'`, `ComputableIn`, `ComputableIn₂`: Encodes partial/total functions between `Primcodable` types as `ℕ →. ℕ`, analogous to `Partrec`/`Computable`.
- `of_eq`, `of_eq_tot`, `of_primrec`, `some`, `none`, `mono`, `subst`: Standard closure properties for `RecursiveIn`.
- `cond_const`, `cond_core_rfind`, `cond`, `ComputableIn.cond`: Shows `RecursiveIn` is closed under conditionals when the guard is absolutely computable
- `Nat.Partrec.recursiveIn`, `Computable.computableIn`: Every partrec/computable function is recursive in any oracle set.
Small addition to `Partrec`
we add to `Mathlib.Computability.Partrec` a small helper def (`Partrec.kronecker` and related `rfind` lemmas) representing the function that returns 1 if its two (unpaired) arguments are equal, and 0 otherwise, which is used in the proof of `cond`
## TODO
Some current `RecursiveIn` proofs such as `cond_core_rfind` still work directly with the inductive constructors and are thus very long. A follow up could add a combinator-style closure library by essentially relativizing all the results and lemmas in `Partrec`, and proofs could be golfed heavily as they are in `Partrec`
## Note: AI Usage
[Aleph prover](https://logicalintelligence.com/aleph-coding-ai/) was allowed to prove an earlier version of `cond_core_rfind`, which included stating and proving the lemma `cond_const` but the proofs have since been iterated on manually
Cursor was allowed to run git commands and edit docstrings/headers, and was used in setting up the module structure of the files |
t-computability
new-contributor
large-import
|
644/63 |
Mathlib/Computability/Partrec.lean,Mathlib/Computability/RecursiveIn.lean,Mathlib/Computability/TuringDegree.lean |
3 |
14 |
['eric-wieser', 'github-actions', 'plp127', 'tannerduve', 'vihdzp'] |
nobody |
9-6943 9 days ago |
24-31110 24 days ago |
34-677 34 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 |
653/0 |
Mathlib.lean,Mathlib/NumberTheory/AKSPrimality.lean |
2 |
35 |
['github-actions', 'jcommelin', 'kim-em', 'metakunt', 'qawbecrdtey', 'vihdzp'] |
kim-em assignee:kim-em |
9-2210 9 days ago |
14-82767 14 days ago |
18-69846 18 days |
| 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 |
204/0 |
Mathlib.lean,Mathlib/RingTheory/FormalGroup/Basic.lean,docs/references.bib |
3 |
8 |
['WenrongZou', 'github-actions', 'wwylele'] |
erdOne assignee:erdOne |
8-82955 8 days ago |
8-82954 8 days ago |
12-64631 12 days |
| 35243 |
ScottCarnahan author:ScottCarnahan |
chore(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`.
---
[](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'] |
eric-wieser assignee:eric-wieser |
8-71107 8 days ago |
11-79770 11 days ago |
16-60616 16 days |
| 35559 |
mike1729 author:mike1729 |
feat(Analysis/Normed): weak-topology embedding into weak-star bidual and compactenss transfer theorem |
This PR refactors the double dual material and adds new results connecting the weak topology on a normed space to the weak-star topology on its bidual.
## Changes
### New file: `Analysis.Normed.Module.DoubleDual`
Extracts the canonical embedding `inclusionInDoubleDual` and the bidual isometry `inclusionInDoubleDualLi` from `Analysis.Normed.Module.Dual` into a dedicated file, and adds:
- `inclusionInDoubleDualWeak`: the canonical map from `WeakSpace 𝕜 X` into `WeakDual 𝕜 (StrongDual 𝕜 X)`.
- `inclusionInDoubleDualWeak_isEmbedding`: this map is a topological embedding.
- `inclusionInDoubleDualWeak_homeomorph`: the map as a homeomorphism onto its range.
- `isCompact_closure_of_isBounded`: bounded sets whose bidual image has weak-star closure in range have weakly compact closure, via Banach–Alaoglu.
### Modified: `Analysis.Normed.Module.Dual`
The double dual inclusion material is moved out; polar set results remain. References to `inclusionInDoubleDual` in `polar_closure` are replaced by `ContinuousLinearMap.apply` to avoid a dependency on the new file.
---
CC: @faenuccio this may be relevant for your Goldstine formalization.
|
t-analysis
new-contributor
|
240/91 |
Mathlib.lean,Mathlib/Analysis/LocallyConvex/SeparatingDual.lean,Mathlib/Analysis/LocallyConvex/Separation.lean,Mathlib/Analysis/Normed/Module/DoubleDual.lean,Mathlib/Analysis/Normed/Module/Dual.lean,Mathlib/Analysis/Normed/Module/WeakDual.lean,Mathlib/Analysis/Normed/Module/WeakSpace.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/FundThmCalculus.lean,Mathlib/MeasureTheory/Measure/CharacteristicFunction/Basic.lean,Mathlib/Probability/Distributions/Gaussian/CharFun.lean |
10 |
23 |
['ADedecker', 'github-actions', 'j-loreaux', 'mathlib-merge-conflicts', 'mike1729'] |
faenuccio assignee:faenuccio |
8-58091 8 days ago |
9-45958 9 days ago |
11-12992 11 days |
| 35651 |
sun123zxy author:sun123zxy |
feat(Mathlib/RingTheory/Ideal/Cotangent): `Submodule.map` definition of cotangent spaces |
This PR adds an alternative definition of the cotangent space as an image under the R-module quotient map.
---
Split from PR #33247
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
|
47/20 |
Mathlib/RingTheory/Ideal/Cotangent.lean,Mathlib/RingTheory/Ideal/Quotient/Operations.lean |
2 |
10 |
['erdOne', 'github-actions', 'mathlib-merge-conflicts', 'sun123zxy'] |
chrisflav assignee:chrisflav |
8-53027 8 days ago |
13-34820 13 days ago |
6-9373 6 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
|
499/0 |
Mathlib/Computability/EpsilonNFA.lean |
1 |
2 |
['github-actions'] |
nobody |
8-33843 8 days ago |
unknown |
0-0 0 seconds |
| 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 |
2 |
['github-actions'] |
nobody |
8-16900 8 days ago |
8-16962 8 days ago |
8-17560 8 days |
| 34578 |
dennj author:dennj |
feat: define Boolean circuits over abstract gate families |
This PR introduces a foundation for Boolean circuits parameterized by abstract gate families.
## Main definitions
- `GateEval`: typeclass for gate families with Boolean semantics
- `GateHom`: arity-preserving maps between gate families
- `Circuit`: inductive type representing circuit syntax trees
- `AC0Gate`, `ACC0Gate`, `TC0Gate`: standard complexity-theoretic gate bases
## Design notes
The key design choice is to keep **syntax** (gate labels `G : Nat → Type`) separate from
**semantics** (`GateEval.eval`), allowing users to define custom gate families (e.g., MAJ, XOR,
arbitrary threshold gates) without modifying core definitions.
### Tree vs DAG representation
We evaluated two approaches for circuit representation:
1. **Tree-based** (this PR): Circuits as inductive syntax trees
2. **DAG-based**: Circuits as lists of gates with index-based references
We chose tree-based circuits because:
- **Compositionality**: Easy to build circuits via `gate g (fun i => subcircuit i)`
- **Type safety**: Arity-indexed gates (`G : Nat → Type`) catch errors at compile time
- **Manipulation**: Natural support for `mapGate`, `subst`, `mapInputs`
- **Mathlib philosophy**: Aligns with structural/compositional reasoning patterns
For use cases requiring explicit sharing (complexity analysis, evaluation efficiency),
a separate `DAG` type can be added later with proven equivalence via `Circuit.toDAG`.
The current representation serves as a minimal foundation for size/depth measures,
circuit families, and complexity classes (AC0, ACC0, TC0).
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-computability
|
919/0 |
Mathlib.lean,Mathlib/Computability/Circuit/Basic.lean,Mathlib/Computability/Formula/Basic.lean,Mathlib/Computability/Gate.lean |
4 |
18 |
['LLaurance', 'YuvalFilmus', 'dennj', 'github-actions'] |
Komyyy assignee:Komyyy |
8-11979 8 days ago |
25-5467 25 days ago |
32-44601 32 days |
| 35594 |
chrisflav author:chrisflav |
feat(RingTheory): `Extension.CotangentSpace` commutes with base change |
From Pi1.
---
- [x] depends on: #35557
- [x] depends on: #35699
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
136/0 |
Mathlib.lean,Mathlib/RingTheory/Extension/Basic.lean,Mathlib/RingTheory/Extension/Cotangent/BaseChange.lean,Mathlib/RingTheory/Extension/Cotangent/Basic.lean |
4 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
riccardobrasca assignee:riccardobrasca |
8-11975 8 days ago |
11-42794 11 days ago |
11-44088 11 days |
| 35713 |
Parcly-Taxel author:Parcly-Taxel |
feat: Bird–Wadler duality theorems |
Forms of these three theorems already exist in mathlib and the Lean standard library, but they are scattered about. Bring them together in one file, deprecating the _ad hoc_ names for the first and second theorems. |
t-data |
167/82 |
Mathlib.lean,Mathlib/Data/List/Basic.lean,Mathlib/Data/List/BirdWadler.lean,docs/references.bib |
4 |
1 |
['github-actions'] |
Vierkantor assignee:Vierkantor |
8-11971 8 days ago |
17-63025 17 days ago |
17-63188 17 days |
| 35874 |
xgenereux author:xgenereux |
feat(Adjoin/Polynomial/Bivariate): IsAlgebraic.adjoin_singleton |
This PR builds up to the following theorem:
- `IsAlgebraic.adjoin_singleton`:
Given two transcendental elements `a`, `b` over `R`, if one of them, say `a`, is algebraic over
`R[b]` then `b` is algebraic over `R[a]`.
In particular, it uses maps between `R[a]` and `R[X]` as well of some of the Bivariate polynomial API.
The results are necessary in preparation for the following: Given a function field `K` and `(y : K)` such that
`(hy : Transcendental Fq y)` then we have:
```
FiniteDimensional Fq⟮y⟯ K
```
Co-authored-by: María Inés de Frutos Fernández <[mariaines.dff@gmail.com](mailto:mariaines.dff@gmail.com)>
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
90/0 |
Mathlib.lean,Mathlib/RingTheory/Adjoin/Polynomial/Bivariate.lean |
2 |
6 |
['github-actions', 'joneugster', 'mathlib-merge-conflicts', 'robin-carlier', 'xgenereux'] |
riccardobrasca assignee:riccardobrasca |
8-11964 8 days ago |
11-64229 11 days ago |
11-64661 11 days |
| 35962 |
euprunin author:euprunin |
chore: golf using `simp` |
The goal of this 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):
* `CategoryTheory.MonoidalCategory.leftUnitor_monoidal`: unchanged 🎉
* `MeasureTheory.Measure.haar.is_left_invariant_index`: unchanged 🎉
* `Ideal.Filtration.submodule_fg_iff_stable`: unchanged 🎉
Profiled using `set_option trace.profiler true in`.
This 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/)
|
|
4/10 |
Mathlib/CategoryTheory/Monoidal/Braided/Basic.lean,Mathlib/MeasureTheory/Measure/Haar/Basic.lean,Mathlib/RingTheory/Filtration.lean |
3 |
1 |
['github-actions'] |
dwrensha assignee:dwrensha |
8-11956 8 days ago |
11-71273 11 days ago |
11-71180 11 days |
| 35998 |
gasparattila author:gasparattila |
feat: affine isomorphisms between spaces of affine maps |
These isomorphisms are analogous to `LinearEquiv.arrowCongr` and `LinearEquiv.congrLeft`.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
123/0 |
Mathlib/LinearAlgebra/AffineSpace/AffineEquiv.lean |
1 |
1 |
['github-actions'] |
joelriou assignee:joelriou |
8-11953 8 days ago |
11-33296 11 days ago |
11-33203 11 days |
| 36014 |
euprunin author:euprunin |
chore: golf proofs |
The goal of this 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):
* `Polynomial.smeval_commute_left`: unchanged 🎉
* `lp.norm_rpow_eq_tsum`: unchanged 🎉
* `ComputablePred.rice`: unchanged 🎉
* `ZNum.cmp_to_int`: unchanged 🎉
* `ZMod.inv_coe_unit`: unchanged 🎉
* `Ideal.Filtration.submodule_fg_iff_stable`: 343 ms before, 197 ms after 🎉
* `t2Space_of_properSMul_of_t1Group`: unchanged 🎉
Profiled using `set_option trace.profiler true in`.
This 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/)
|
|
10/43 |
Mathlib/Algebra/Polynomial/Smeval.lean,Mathlib/Analysis/Normed/Lp/lpSpace.lean,Mathlib/Computability/Halting.lean,Mathlib/Data/Num/ZNum.lean,Mathlib/Data/ZMod/Basic.lean,Mathlib/RingTheory/Filtration.lean,Mathlib/Topology/Algebra/ProperAction/Basic.lean |
7 |
1 |
['github-actions'] |
kex-y assignee:kex-y |
8-11952 8 days ago |
11-18801 11 days ago |
11-18708 11 days |
| 36242 |
joneugster author:joneugster |
feat(scripts/autolabel): collect label dependencies transitively |
Collect label dependencies transitively. if `t-algebraic-geometry -> t-ring-theory` and `t-ring-theory -> t-algebra` are two dependencies where the latter label is dropped from the list of applicable labels, then `t-algebraic-geometry -> t-algebra` is also dropped.
---
I forgot if this was an oversight in #34066 or if we split this out to facilitate discussion should this not be desired behaviour.
- [x] depends on: #34066
- part of: #34079
[](https://gitpod.io/from-referrer/)
|
CI |
2/3 |
scripts/autolabel.lean |
1 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
7-86381 7 days ago |
8-553 8 days ago |
8-917 8 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`
These results 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 more general situation.
---
- [x] depends on: #35483
[](https://gitpod.io/from-referrer/)
|
t-number-theory |
31/0 |
Mathlib/NumberTheory/RamificationInertia/Basic.lean |
1 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
alexjbest assignee:alexjbest |
7-74855 7 days ago |
7-74877 7 days ago |
24-40817 24 days |
| 35661 |
chrisflav author:chrisflav |
feat(Geometry/Manifold): a smooth map induces a morphism of locally ringed spaces |
---
I have put things in the `IsManifold` namespace, because `IsManifold.locallyRingedSpace` is in that namespace. It seems to me that this namespace is not very fitting, because `IsManifold` is not mentioned once. Since I am unfamiliar with this part of the library, I refrained from changing it, but I am happy to do so if preferred.
[](https://gitpod.io/from-referrer/)
|
t-algebraic-geometry
t-differential-geometry
|
156/3 |
Mathlib/Geometry/Manifold/ContMDiff/Basic.lean,Mathlib/Geometry/Manifold/LocalInvariantProperties.lean,Mathlib/Geometry/Manifold/Sheaf/LocallyRingedSpace.lean,Mathlib/Geometry/Manifold/Sheaf/Smooth.lean |
4 |
7 |
['chrisflav', 'github-actions', 'grunweg', 'hrmacbeth'] |
ocfnash assignee:ocfnash |
7-67704 7 days ago |
19-18643 19 days ago |
19-19127 19 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'] |
alreadydone assignee:alreadydone |
7-30610 7 days ago |
15-41615 15 days ago |
15-41752 15 days |
| 35540 |
tb65536 author:tb65536 |
feat(GroupTheory/ResiduallyFinite): define residually finite groups |
This PR defines residually finite groups, provides some basic API, and gives the connection with profinite completion.
Some to_additivizing is still waiting on #34784.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
t-group-theory
label:t-algebra$ |
97/1 |
Mathlib.lean,Mathlib/GroupTheory/FiniteIndexNormalSubgroup.lean,Mathlib/GroupTheory/ResiduallyFinite.lean,Mathlib/Topology/Algebra/Category/ProfiniteGrp/Completion.lean |
4 |
4 |
['ADedecker', 'github-actions'] |
mattrobball assignee:mattrobball |
7-23184 7 days ago |
7-23245 7 days ago |
22-4671 22 days |
| 33942 |
artie2000 author:artie2000 |
feat(Algebra/Group/Submonoid): submonoid support |
* Define support of submonoid (biggest subgroup it contains)
* Define "pointed" (zero-support) and "spanning" (generates as a subgroup) submonoids
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
123/0 |
Mathlib.lean,Mathlib/Algebra/Group/Submonoid/Support.lean,Mathlib/Tactic/Translate/ToAdditive.lean |
3 |
30 |
['artie2000', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts', 'ooovi', 'plp127', 'vihdzp'] |
jcommelin assignee:jcommelin |
7-13918 7 days ago |
7-15080 7 days ago |
9-26497 9 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'] |
kmill assignee:kmill |
7-12043 7 days ago |
25-58737 25 days ago |
25-58644 25 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 |
1 |
['github-actions'] |
dupuisf assignee:dupuisf |
7-12028 7 days ago |
10-17753 10 days ago |
10-19613 10 days |
| 35602 |
JovanGerb author:JovanGerb |
feat: replace `IsWellFounded` with `WellFounded` |
This PR is an attempt to deprecate `IsWellFounded`. The reason it that it is entirely equivalent to `WellFounded`, with the only difference being that `IsWellFounded` is a class. This PR instead marks `WellFounded` as a class.
What is annoying is that you sometimes want the API to use it as a class and sometimes as an explicit argument, and it's not entirely clear to me what the best compromise is: duplicating API, or just picking one form and using it.
---
[](https://gitpod.io/from-referrer/)
|
t-data |
430/474 |
Archive/Imo/Imo1988Q6.lean,Mathlib/Algebra/EuclideanDomain/Defs.lean,Mathlib/Algebra/Group/UniqueProds/Basic.lean,Mathlib/Algebra/Lie/Engel.lean,Mathlib/Algebra/Lie/Subalgebra.lean,Mathlib/Algebra/Lie/Submodule.lean,Mathlib/AlgebraicTopology/SimplicialSet/AnodyneExtensions/Pairing.lean,Mathlib/CategoryTheory/CofilteredSystem.lean,Mathlib/CategoryTheory/Subobject/ArtinianObject.lean,Mathlib/CategoryTheory/Subobject/NoetherianObject.lean,Mathlib/Data/DFinsupp/WellFounded.lean,Mathlib/Data/ENat/Basic.lean,Mathlib/Data/Fin/Tuple/BubbleSortInduction.lean,Mathlib/Data/Finset/Dedup.lean,Mathlib/Data/Finset/Defs.lean,Mathlib/Data/Finsupp/MonomialOrder/DegLex.lean,Mathlib/Data/Finsupp/WellFounded.lean,Mathlib/Data/Fintype/Card.lean,Mathlib/Data/List/Chain.lean,Mathlib/Data/List/Cycle.lean,Mathlib/Data/Multiset/Defs.lean,Mathlib/Data/Nat/Cast/WithTop.lean,Mathlib/Data/Nat/PartENat.lean,Mathlib/Data/Nat/WithBot.lean,Mathlib/Data/Prod/Lex.lean,Mathlib/Data/Rel.lean,Mathlib/Data/Set/Finite/Lemmas.lean,Mathlib/Data/Sum/Order.lean,Mathlib/Deprecated/Estimator.lean,Mathlib/GroupTheory/ArchimedeanDensely.lean,Mathlib/LinearAlgebra/ExteriorPower/Basis.lean,Mathlib/Logic/Hydra.lean,Mathlib/Order/Antisymmetrization.lean,Mathlib/Order/Cofinal.lean,Mathlib/Order/CompactlyGenerated/Basic.lean,Mathlib/Order/ConditionallyCompleteLattice/Defs.lean,Mathlib/Order/Cover.lean,Mathlib/Order/Extension/Well.lean,Mathlib/Order/Hom/Basic.lean,Mathlib/Order/InitialSeg.lean,Mathlib/Order/Minimal.lean,Mathlib/Order/OrderIsoNat.lean,Mathlib/Order/PiLex.lean,Mathlib/Order/RelClasses.lean,Mathlib/Order/RelIso/Basic.lean,Mathlib/Order/RelIso/Set.lean,Mathlib/Order/RelSeries.lean,Mathlib/Order/Shrink.lean,Mathlib/Order/SuccPred/Archimedean.lean,Mathlib/Order/WellFounded.lean,Mathlib/Order/WellFoundedSet.lean,Mathlib/Order/WellQuasiOrder.lean,Mathlib/Order/WithBot.lean,Mathlib/RingTheory/Artinian/Module.lean,Mathlib/RingTheory/Bezout.lean,Mathlib/RingTheory/DedekindDomain/Ideal/Basic.lean,Mathlib/RingTheory/FiniteLength.lean,Mathlib/RingTheory/Length.lean,Mathlib/RingTheory/MvPolynomial/Groebner.lean,Mathlib/RingTheory/MvPowerSeries/NoZeroDivisors.lean,Mathlib/RingTheory/Noetherian/Basic.lean,Mathlib/RingTheory/Noetherian/Defs.lean,Mathlib/RingTheory/Polynomial/UniqueFactorization.lean,Mathlib/RingTheory/PrincipalIdealDomain.lean,Mathlib/RingTheory/SimpleModule/Basic.lean,Mathlib/RingTheory/UniqueFactorizationDomain/Basic.lean,Mathlib/RingTheory/UniqueFactorizationDomain/Defs.lean,Mathlib/RingTheory/UniqueFactorizationDomain/Ideal.lean,Mathlib/RingTheory/UniqueFactorizationDomain/Nat.lean,Mathlib/RingTheory/Valuation/Archimedean.lean,Mathlib/SetTheory/Cardinal/Cofinality.lean,Mathlib/SetTheory/Cardinal/Order.lean,Mathlib/SetTheory/Ordinal/Basic.lean,Mathlib/SetTheory/Ordinal/Notation.lean,Mathlib/SetTheory/Ordinal/Rank.lean,Mathlib/SetTheory/ZFC/Basic.lean,Mathlib/SetTheory/ZFC/Class.lean,Mathlib/SetTheory/ZFC/PSet.lean,Mathlib/SetTheory/ZFC/Rank.lean,Mathlib/Topology/Category/Profinite/Nobeling/Basic.lean,Mathlib/Topology/NoetherianSpace.lean |
81 |
28 |
['JovanGerb', 'SnirBroshi', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
vihdzp assignee:vihdzp |
7-10044 7 days ago |
7-10106 7 days ago |
7-18032 7 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'] |
nobody |
6-77563 6 days ago |
6-77635 6 days ago |
6-77542 6 days |
| 35760 |
astrainfinita author:astrainfinita |
chore: deprecate `ConditionallyCompleteLinearOrderedField` |
Use the new mixin typeclass instead. Also, move the API for conditionally complete linear ordered fields into the `ConditionallyCompleteLinearOrderedField` namespace, and make instances scoped to this namespace. We should usually use `ℝ` instead.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
t-order
maintainer-merge
label:t-algebra$ |
124/52 |
Mathlib.lean,Mathlib/Algebra/Order/CompleteField.lean,Mathlib/Algebra/Order/Ring/StandardPart.lean,Mathlib/Data/Real/CompleteField.lean,Mathlib/Data/Real/Hom.lean |
5 |
6 |
['Vierkantor', 'astrainfinita', 'github-actions', 'leanprover-radar'] |
Vierkantor assignee:Vierkantor |
6-70372 6 days ago |
8-50093 8 days ago |
16-43116 16 days |
| 35418 |
vlad902 author:vlad902 |
feat(SimpleGraph): `IsAcyclic` iff not 2-edge-reachable |
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
46/5 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/EdgeConnectivity.lean,Mathlib/Combinatorics/SimpleGraph/Paths.lean |
3 |
5 |
['SnirBroshi', 'github-actions', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
6-69503 6 days ago |
6-69565 6 days ago |
23-80289 23 days |
| 36192 |
tb65536 author:tb65536 |
feat(NumberTheory/ArithmeticFunction/LFunction): formal Euler products of Dirichlet series |
This PR defines formal Euler products of Dirichlet 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$ |
129/0 |
Mathlib.lean,Mathlib/NumberTheory/ArithmeticFunction/Defs.lean,Mathlib/NumberTheory/ArithmeticFunction/LFunction.lean |
3 |
32 |
['ADedecker', 'AntoineChambert-Loir', 'MichaelStollBayreuth', 'b-mehta', 'github-actions', 'loefflerd', 'riccardobrasca', 'tb65536'] |
riccardobrasca assignee:riccardobrasca |
6-66715 6 days ago |
7-44040 7 days ago |
8-57200 8 days |
| 31194 |
grunweg author:grunweg |
feat: add `#check'` command and tactic, which only show explicit arguments |
In some areas (such as differential geometry), many lemmas have a *lot* of implicit and typeclass arguments.
Using `#check foo` to determine which explicit arguments are expected for a given lemma gives output which is painful to read, because the explicit argument is buried among many lines of other output.
The `#check'` command and tactic produce very similar output, but with implicit and typeclass arguments omitted.
This increases usability a lot.
In the future, this could (and should) be unified to the #check command in core, by becoming e.g. `#check +only-explicit`. Until then, let us add this to mathlib to facilitate experimentation of the most useful behaviour.
From the project towards geodesics and the Levi-Civita connection.
Co-authored-by: Kyle Miller
Co-authored-by: Patrick Massot
---
[](https://gitpod.io/from-referrer/)
|
t-meta |
155/17 |
Mathlib/Tactic/Check.lean,MathlibTest/Check.lean |
2 |
20 |
['github-actions', 'grunweg', 'mathlib4-merge-conflict-bot', 'thorimur'] |
thorimur assignee:thorimur |
6-62504 6 days ago |
6-62328 6 days ago |
18-19753 18 days |
| 33506 |
Rida-Hamadani author:Rida-Hamadani |
feat(SimpleGraph): construct a cycle of two distinct paths with same start and end |
Co-authored-by: Vlad Tsyrklevich
---
- [x] depends on: #33249
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
109/1 |
Mathlib/Combinatorics/SimpleGraph/Connectivity/WalkDecomp.lean,Mathlib/Combinatorics/SimpleGraph/Paths.lean,Mathlib/Data/List/Basic.lean,Mathlib/Data/List/Nodup.lean |
4 |
11 |
['Rida-Hamadani', 'github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'vlad902'] |
nobody |
6-51962 6 days ago |
14-31873 14 days ago |
2-17599 2 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'] |
mattrobball assignee:mattrobball |
6-30439 6 days ago |
6-30415 6 days ago |
27-51296 27 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'] |
kex-y assignee:kex-y |
6-27019 6 days ago |
18-69215 18 days ago |
76-69512 76 days |
| 36320 |
ZRTMRH author:ZRTMRH |
feat(Combinatorics): add Schreier graph definition and covering property |
Defines Schreier graphs as quivers with labeled edges.
`SchreierGraph V ι`: type alias for vertices with quiver structure
`schreierGraphLabelling`: prefunctor extracting edge labels
`schreierGraphLabelling_isCovering`: the labelling is a covering for group actions
`schreierGraph_action_commute`: label-preserving maps commute with the action
Ported from [Lean 3 PR #18693](https://github.com/leanprover-community/mathlib3/pull/18693).
This PR was written with AI assistance (Claude). The code has been reviewed by the author and their advisor.
---
This is the first in a series of PRs splitting #35467 into smaller pieces, as suggested by reviewers. Upcoming PRs will add word evaluation, paths, connectivity, automorphisms, examples, and Cayley sum graphs.
|
t-combinatorics
new-contributor
|
175/0 |
Mathlib.lean,Mathlib/Combinatorics/Quiver/Schreier.lean |
2 |
2 |
['github-actions'] |
nobody |
6-27019 6 days ago |
6-49056 6 days ago |
6-48963 6 days |
| 35215 |
kim-em author:kim-em |
chore: use @[to_dual] in FixedPoints |
This PR adds `@[to_dual]` annotations to 14 theorems about `lfp` in `Order/FixedPoints.lean`, auto-generating their `gfp` duals and deleting the hand-written versions. Also registers `OrderHom.lfp` as the dual of `OrderHom.gfp` via `attribute [to_dual existing]`.
Auto-generated duals include: `le_gfp`, `gfp_le_fixed`, `gfp_le`, `gfp_le_map`, `map_gfp`, `isFixedPt_gfp`, `map_le_gfp`, `isGreatest_gfp_le`, `isGreatest_gfp`, `gfp_induction`, `map_gfp_comp`, `gfp_gfp`, `map_inf_fixedPoints_le`, `map_sInf_subset_fixedPoints_le`.
[Diff relative to #35208](https://github.com/kim-em/mathlib4/compare/kim/to-dual-bounds-basic...kim/to-dual-fixed-points)
- [x] depends on: #35208
🤖 Prepared with Claude Code |
|
249/548 |
Mathlib/Algebra/Module/Torsion/Basic.lean,Mathlib/Order/CompleteLattice/Basic.lean,Mathlib/Order/CompleteLattice/Defs.lean,Mathlib/Order/ConditionallyCompleteLattice/Defs.lean,Mathlib/Order/FixedPoints.lean,Mathlib/Order/GaloisConnection/Basic.lean,Mathlib/Order/Interval/Set/Disjoint.lean,Mathlib/Topology/Order.lean |
8 |
10 |
['JovanGerb', 'github-actions', 'kim-em', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
alexjbest assignee:alexjbest |
6-12033 6 days ago |
10-14966 10 days ago |
17-59897 17 days |
| 35829 |
IvanRenison author:IvanRenison |
refactor(Data/Last): move `Mathlib.Tactic.BicategoryLike.pairs` to `List.consecutivePairs` |
Moves:
- Mathlib.Tactic.BicategoryLike.pairs -> List.consecutivePairs
---
[](https://gitpod.io/from-referrer/)
|
t-data |
12/6 |
Mathlib/Data/List/Defs.lean,Mathlib/Tactic/Widget/StringDiagram.lean |
2 |
5 |
['IvanRenison', 'SnirBroshi', 'github-actions', 'robin-carlier'] |
Vierkantor assignee:Vierkantor |
6-12032 6 days ago |
14-22319 14 days ago |
15-3178 15 days |
| 34119 |
themathqueen author:themathqueen |
feat(LinearAlgebra/Matrix/WithConv): `Matrix.toLin'` as a star-algebra equivalence between their convolutive rings |
`WithConv (Matrix m n α)` is ⋆-algebraically equivalent to `WithConv ((n → α) →ₗ m → α)`.
In particular, the convolutive product on linear maps corresponds to the Hadamard product on matrices and the intrinsic star on linear maps corresponds to taking the star of each element in the matrix.
---
- [x] depends on: #30880
- [x] depends on: #34111
- [x] depends on: #34312
- [x] depends on: #34600
- [x] depends on: #34601
- [x] depends on: #34945
- [x] depends on: #34997
[](https://gitpod.io/from-referrer/)
|
t-algebra
large-import
label:t-algebra$ |
92/2 |
Mathlib/Algebra/Group/Idempotent.lean,Mathlib/Algebra/WithConv.lean,Mathlib/LinearAlgebra/Matrix/WithConv.lean,docs/references.bib |
4 |
63 |
['eric-wieser', 'github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'themathqueen'] |
ocfnash assignee:ocfnash |
5-62954 5 days ago |
9-6580 9 days ago |
16-77083 16 days |
| 35908 |
vihdzp author:vihdzp |
chore(FieldTheory/AbelRuffini): simpler definition of `solvableByRad` |
We redefine `solvableByRad F E` as the smallest intermediate field closed under n-th roots. This makes the predicate `IsSolvableByRad` redundant, and so we deprecate it.
We also private/remove various auxiliary results, and change the statement of the Abel-Ruffini theorem to be about an element of the field, rather than the subtype.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
134/164 |
Archive/Wiedijk100Theorems/AbelRuffini.lean,Mathlib/Algebra/Field/Subfield/Basic.lean,Mathlib/FieldTheory/AbelRuffini.lean,Mathlib/FieldTheory/IntermediateField/Adjoin/Defs.lean |
4 |
5 |
['github-actions', 'plp127', 'vihdzp'] |
riccardobrasca assignee:riccardobrasca |
5-39836 5 days ago |
12-82067 12 days ago |
12-83143 12 days |
| 35654 |
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 (differences <30 ms considered measurement noise):
* `CochainComplex.HomComplex.mem_coboundaries_iff`: unchanged 🎉
* `integral_cos_mul_complex`: unchanged 🎉
* `List.next_getLast_cons`: unchanged 🎉
* `foldl_argAux_mem`: unchanged 🎉
* `Equiv.Perm.support_swap`: unchanged 🎉
* `Fermat42.mul`: unchanged 🎉
* `Filter.high_scores`: 155 ms before, 108 ms after 🎉
* `IocProdIoc_preimage`: 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/)
|
|
8/41 |
Mathlib/Algebra/Homology/HomotopyCategory/HomComplexCohomology.lean,Mathlib/Analysis/SpecialFunctions/Integrals/Basic.lean,Mathlib/Data/List/MinMax.lean,Mathlib/GroupTheory/Perm/Support.lean,Mathlib/NumberTheory/FLT/Four.lean,Mathlib/Probability/Kernel/IonescuTulcea/Maps.lean |
6 |
4 |
['euprunin', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
kex-y assignee:kex-y |
5-31369 5 days ago |
5-31394 5 days ago |
18-30119 18 days |
| 35731 |
euprunin author:euprunin |
chore: golf using `exact`/`simpa` |
The goal of this 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):
* `AlgebraicGeometry.Scheme.Cover.exists_of_trans_eq_trans`: unchanged 🎉
* `AlgebraicGeometry.compactSpace_iff_exists`: unchanged 🎉
* `SimplexCategory.eq_id_of_mono`: unchanged 🎉
* `SimplexCategory.eq_id_of_epi`: unchanged 🎉
* `CategoryTheory.GrothendieckTopology.isIso_toPlus_of_isSheaf`: unchanged 🎉
* `CategoryTheory.Functor.isTriangulated_of_op`: unchanged 🎉
* `SimpleGraph.chromaticNumber_top`: unchanged 🎉
* `SimpleGraph.Subgraph.singletonSubgraph_connected`: unchanged 🎉
* `SimpleGraph.Walk.exists_length_eq_one_iff`: unchanged 🎉
* `Turing.TM2to1.addBottom_modifyNth`: unchanged 🎉
* `IsNoetherian.iff_fg`: unchanged 🎉
* `contMDiff_inclusion`: unchanged 🎉
* `FermatLastTheoremForThree_of_FermatLastTheoremThreeGen`: 146 ms before, 91 ms after 🎉
* `FermatLastTheoremForThreeGen.lambda_sq_dvd_c`: 313 ms before, 218 ms after 🎉
* `WithTop.isGLB_sInf`: unchanged 🎉
* `WithBot.succ_eq_bot`: 56 ms before, <30 ms after 🎉
* `WithTop.pred_eq_top`: unchanged 🎉
Profiled using `set_option trace.profiler true in`.
This 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/)
|
|
22/91 |
Mathlib/AlgebraicGeometry/Cover/Directed.lean,Mathlib/AlgebraicGeometry/Morphisms/QuasiCompact.lean,Mathlib/AlgebraicTopology/SimplexCategory/Basic.lean,Mathlib/CategoryTheory/Sites/Plus.lean,Mathlib/CategoryTheory/Triangulated/Opposite/Functor.lean,Mathlib/Combinatorics/SimpleGraph/Coloring.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Subgraph.lean,Mathlib/Combinatorics/SimpleGraph/Walks/Basic.lean,Mathlib/FieldTheory/Finiteness.lean,Mathlib/Geometry/Manifold/ContMDiff/Basic.lean,Mathlib/NumberTheory/FLT/Three.lean,Mathlib/Order/ConditionallyCompleteLattice/Basic.lean,Mathlib/Order/SuccPred/WithBot.lean |
13 |
25 |
['euprunin', 'github-actions', 'leanprover-radar', 'robin-carlier', 'vihdzp'] |
robin-carlier assignee:robin-carlier |
5-27067 5 days ago |
5-72438 5 days ago |
11-46534 11 days |
| 35947 |
euprunin author:euprunin |
chore: replace `aesop` with `grind` where the latter is significantly faster |
This experiment investigates the impact of replacing particularly heavy `aesop` calls with `grind`, specifically how this change affects the instruction count as measured by the benchmarking infrastructure.
Trace profiling results (differences <30 ms considered measurement noise):
* `Submonoid.mem_closure_image_one_lt_iff`: 125 ms before, 61 ms after 🎉
* `SimpleGraph.Connected.connected_delete_edge_of_not_isBridge`: 230 ms before, 51 ms after 🎉
* `SimpleGraph.Subgraph.IsMatching.exists_of_disjoint_sets_of_equiv`: 899 ms before, 666 ms after 🎉
* `SimpleGraph.IsCycles.existsUnique_ne_adj`: 855 ms before, 599 ms after 🎉
* `SimpleGraph.Walk.IsPath.isCycles_spanningCoe_toSubgraph_sup_edge`: 962 ms before, 619 ms after 🎉
* `SimpleGraph.IsAlternating.sup_edge`: 2854 ms before, 1615 ms after 🎉
* `SimpleGraph.Subgraph.IsPerfectMatching.symmDiff_of_isAlternating`: 3103 ms before, 1734 ms after 🎉
* `SimpleGraph.edgeSet_replaceVertex_of_not_adj`: 1525 ms before, 933 ms after 🎉
* `SimpleGraph.edgeSet_replaceVertex_of_adj`: 2194 ms before, 1605 ms after 🎉
* `SimpleGraph.tutte_exists_isPerfectMatching_of_near_matchings`: 3161 ms before, 1652 ms after 🎉
* `RootPairing.Base.sub_notMem_range_root`: 1025 ms before, 978 ms after 🎉
* `RootPairing.EmbeddedG2.mem_allRoots`: 3832 ms before, 3255 ms after 🎉
* `RootSystem.GeckConstruction.Lemmas.0.RootPairing.chainBotCoeff_mul_chainTopCoeff.aux_2`: 3572 ms before, 2631 ms after 🎉
* `isCompact_generateFrom`: 1987 ms before, 763 ms after 🎉
* `IsCompactOpenCovered.of_isCompact_of_forall_exists_isCompactOpenCovered`: 2279 ms before, 2009 ms after 🎉
* `UniformContinuousOn.comp_tendstoUniformly_eventually`: 416 ms before, 151 ms after 🎉
Profiled using `set_option trace.profiler true in`.
This 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/)
|
|
27/27 |
Mathlib/Algebra/Group/Irreducible/Indecomposable.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean,Mathlib/Combinatorics/SimpleGraph/Matching.lean,Mathlib/Combinatorics/SimpleGraph/Operations.lean,Mathlib/Combinatorics/SimpleGraph/Tutte.lean,Mathlib/LinearAlgebra/RootSystem/Base.lean,Mathlib/LinearAlgebra/RootSystem/Finite/G2.lean,Mathlib/LinearAlgebra/RootSystem/GeckConstruction/Lemmas.lean,Mathlib/Topology/Compactness/Compact.lean,Mathlib/Topology/Sets/CompactOpenCovered.lean,Mathlib/Topology/UniformSpace/UniformConvergenceTopology.lean |
11 |
4 |
['euprunin', 'github-actions', 'leanprover-radar', 'vihdzp'] |
joelriou assignee:joelriou |
5-26728 5 days ago |
12-15962 12 days ago |
12-15869 12 days |
| 35638 |
vihdzp author:vihdzp |
chore(Topology/Order/OrderClosed): use `to_dual` |
---
- [x] depends on: #35637
[](https://gitpod.io/from-referrer/)
|
|
124/280 |
Mathlib/Order/ConditionallyCompletePartialOrder/Defs.lean,Mathlib/Order/Cover.lean,Mathlib/Order/Filter/Defs.lean,Mathlib/Topology/Order/OrderClosed.lean |
4 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
kex-y assignee:kex-y |
5-12032 5 days ago |
8-52086 8 days ago |
8-52821 8 days |
| 35892 |
vlad902 author:vlad902 |
feat(Data): lemmas for `List.bagInter` |
Basic API lemmas for `List.bagInter` and correct a few misnamed lemmas.
Co-authored-by: Aristotle (Harmonic)
---
[](https://gitpod.io/from-referrer/)
|
t-data |
60/5 |
Mathlib/Data/List/Lattice.lean,Mathlib/Data/List/Perm/Lattice.lean,Mathlib/Data/Multiset/UnionInter.lean |
3 |
1 |
['github-actions'] |
Vierkantor assignee:Vierkantor |
5-12028 5 days ago |
13-19891 13 days ago |
13-22442 13 days |
| 36168 |
SnirBroshi author:SnirBroshi |
feat(Order/ConditionallyCompleteLattice/Indexed): `f i j ≤ ⨆ (i) (j), f i j` |
Add `le_ciSup₂`/`ciInf₂_le` to match `CompleteLattice`'s `le_iSup₂`/`iInf₂_le`.
---
[](https://gitpod.io/from-referrer/)
|
t-order |
28/0 |
Mathlib/Order/ConditionallyCompleteLattice/Indexed.lean |
1 |
1 |
['github-actions'] |
bryangingechen assignee:bryangingechen |
5-12022 5 days ago |
8-83988 8 days ago |
8-83895 8 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 |
1 |
['github-actions'] |
nobody |
5-7963 5 days ago |
6-78840 6 days ago |
6-78747 6 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
|
360/0 |
Mathlib.lean,Mathlib/Geometry/Polygon/Boundary.lean,Mathlib/Geometry/Polygon/Simple.lean,Mathlib/Logic/Equiv/Fin/Rotate.lean |
4 |
29 |
['A-M-Berns', 'eric-wieser', 'github-actions', 'joneugster', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp', 'wwylele'] |
JovanGerb assignee:JovanGerb |
5-145 5 days ago |
16-37891 16 days ago |
18-72084 18 days |
| 35928 |
xgenereux author:xgenereux |
feat(Subalgebra/Lattice): add notation for Algebra.adjoin |
This PR proposes a scoped notation for Algebra.adjoin, `R[a]`, inspired from `IntermediateField.adjoin`.
See [here](https://live.lean-lang.org/#codez=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) for a preview of how it would look like.
Note that I am currently using bracked, `[`, `]`. I know this clashes with the notation for `Polynomial`, `DualNumber`, `AdjoinRoot` and `GetElem` but it is my impression that it would rarely cause issues.
See [#mathlib4 > Notation for Algebra.adjoin](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Notation.20for.20Algebra.2Eadjoin/with/576551144).
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
236/186 |
Mathlib/Algebra/Algebra/Subalgebra/Lattice.lean,Mathlib/Algebra/DualNumber.lean,Mathlib/Analysis/Normed/Unbundled/IsPowMulFaithful.lean,Mathlib/FieldTheory/IntermediateField/Adjoin/Algebra.lean,Mathlib/FieldTheory/IntermediateField/Adjoin/Defs.lean,Mathlib/FieldTheory/Minpoly/IsIntegrallyClosed.lean,Mathlib/FieldTheory/Minpoly/MinpolyDiv.lean,Mathlib/LinearAlgebra/Complex/Module.lean,Mathlib/LinearAlgebra/Semisimple.lean,Mathlib/NumberTheory/JacobiSum/Basic.lean,Mathlib/NumberTheory/NumberField/Cyclotomic/Basic.lean,Mathlib/RingTheory/Adjoin/Polynomial/Basic.lean,Mathlib/RingTheory/Adjoin/PowerBasis.lean,Mathlib/RingTheory/Adjoin/Singleton.lean,Mathlib/RingTheory/Algebraic/Basic.lean,Mathlib/RingTheory/Conductor.lean,Mathlib/RingTheory/IntegralClosure/IsIntegralClosure/Basic.lean,Mathlib/RingTheory/Polynomial/Eisenstein/IsIntegral.lean,Mathlib/RingTheory/Polynomial/Ideal.lean,Mathlib/RingTheory/RootsOfUnity/Lemmas.lean,Mathlib/RingTheory/Unramified/LocalStructure.lean,Mathlib/RingTheory/Valuation/LocalSubring.lean,Mathlib/Topology/Algebra/Algebra.lean |
23 |
5 |
['github-actions', 'mathlib-merge-conflicts', 'xgenereux'] |
riccardobrasca assignee:riccardobrasca |
4-71135 4 days ago |
5-41035 5 days ago |
11-49832 11 days |
| 36024 |
euprunin author:euprunin |
chore: golf proofs |
The goal of this 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):
* `Fin.coe_sub_one`: unchanged 🎉
* `LieAlgebra.engel_isBot_of_isMin.lieCharpoly_coeff_natDegree`: 66 ms before, 35 ms after 🎉
* `WithTop.mul_lt_mul`: unchanged 🎉
* `CFC.spectrum_nonempty`: unchanged 🎉
* `ODE.hasDerivWithinAt_picard_Icc`: unchanged 🎉
* `Matrix.vecMul_injective_iff_isUnit`: 240 ms before, 68 ms after 🎉
* `MeasureTheory.SimpleFunc.measure_preimage_lt_top_of_memLp`: unchanged 🎉
* `Polynomial.content_eq_gcd_range_of_lt`: unchanged 🎉
* `RingHom.finiteType_isStableUnderBaseChange`: 163 ms before, 49 ms after 🎉
* `RingHom.Flat.holdsForLocalizationAway`: 91 ms before, <30 ms after 🎉
Profiled using `set_option trace.profiler true in`.
This 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/)
|
maintainer-merge |
20/46 |
Mathlib/Algebra/Group/Fin/Basic.lean,Mathlib/Algebra/Lie/CartanExists.lean,Mathlib/Algebra/Order/Ring/WithTop.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Instances.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Order.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Unital.lean,Mathlib/Analysis/ODE/PicardLindelof.lean,Mathlib/LinearAlgebra/Matrix/NonsingularInverse.lean,Mathlib/MeasureTheory/Function/SimpleFuncDenseLp.lean,Mathlib/RingTheory/Polynomial/Content.lean,Mathlib/RingTheory/RingHom/FiniteType.lean,Mathlib/RingTheory/RingHom/Flat.lean |
12 |
14 |
['euprunin', 'github-actions', 'mathlib-merge-conflicts', 'tb65536', 'vihdzp'] |
tb65536 assignee:tb65536 |
4-63909 4 days ago |
5-27104 5 days ago |
9-17038 9 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'] |
nobody |
4-57896 4 days ago |
9-5816 9 days ago |
17-75014 17 days |
| 36364 |
Bergschaf author:Bergschaf |
feat(Order/Sublocale): Better API for NucleusIsoSublocale |
I propose defining the conversion from Nuclei to Sublocales (and vice versa) directly in the `NucleusIsoSublocale` OrderIso. `Nucleus.toSublocale` and `Sublocale.toNucleus` will then just be abbrev's for the underlying OrderIso. This makes it a lot nicer to transition between the two Structures, especially when (infinite) infima and suprema are involved.
---
[](https://gitpod.io/from-referrer/)
|
t-order |
46/33 |
Mathlib/Order/Sublocale.lean |
1 |
3 |
['Bergschaf', 'YaelDillies', 'github-actions'] |
nobody |
4-55224 4 days ago |
5-43034 5 days ago |
5-43385 5 days |
| 35198 |
j-loreaux author:j-loreaux |
feat: generalize Hölder's inequality for sums to `Real.HolderTriple` |
Currently the API exists only for `Real.HolderConjugate`. This generalizes it in anticipation of #35197, which implements the Hölder framework for `lp` spaces.
---
[](https://gitpod.io/from-referrer/)
|
t-analysis |
160/39 |
Mathlib/Analysis/MeanInequalities.lean,Mathlib/Data/Real/ConjExponents.lean |
2 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
ADedecker assignee:ADedecker |
4-49974 4 days ago |
4-49997 4 days ago |
20-79698 20 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'] |
nobody |
4-45154 4 days ago |
4-45225 4 days ago |
4-45132 4 days |
| 33864 |
Timeroot author:Timeroot |
feat(Computability/Primrec): Proving several Nat arithmetic functions are primrec |
Prove that gcd, lcm, coprimality, divisiblity, primality, factorial, descending factorial, powers, and various logarithms are all primitive recursive.
Co-authored-by: Aristotle Harmonic <[aristotle-harmonic@harmonic.fun](mailto:aristotle-harmonic@harmonic.fun)>
|
large-import
t-computability
|
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 |
4-44911 4 days ago |
4-44674 4 days ago |
29-74059 29 days |
| 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:
* `FriendlyOperation.destruct`: a "coinductive destructor" for `FriendlyOperation`
* `FriendlyOperation.coind`: a coinductive principle for proving that operation is friendly
* `FriendlyOperationClass.eq_of_bisim`: a generalisation of `Seq.eq_of_bisim'` for proving two sequences are equal.
---
This is a part of the `compute_asymptotics` tactic (#28291).
[](https://gitpod.io/from-referrer/)
|
t-data
t-meta
|
297/2 |
Mathlib/Tactic/ComputeAsymptotics/Multiseries/Corecursion.lean |
1 |
29 |
['Vierkantor', 'github-actions', 'joneugster', 'vasnesterov'] |
joneugster assignee:joneugster |
4-42534 4 days ago |
4-42549 4 days ago |
18-43734 18 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 |
4-36799 4 days ago |
8-27814 8 days ago |
8-27721 8 days |
| 23835 |
chrisflav author:chrisflav |
feat(Topology): cardinality of connected components is bounded by cardinality of fiber |
We show that if `f : X → Y` is an open and closed map to `Y` and `Y` is connected, the number of connected
components of `X` is bounded by the cardinality of the fiber of any point. In particular, if `Y` has finitely many connected components and `f` finite fibers, also `X` as finitely many connected components.
From Pi1.
---
- [x] depends on: #23849
[](https://gitpod.io/from-referrer/)
|
t-topology |
276/1 |
Mathlib.lean,Mathlib/Data/Fintype/Pi.lean,Mathlib/Data/Set/Lattice.lean,Mathlib/Topology/Clopen.lean,Mathlib/Topology/Connected/CardComponents.lean,Mathlib/Topology/Connected/Clopen.lean |
6 |
11 |
['chrisflav', 'erdOne', 'github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
grunweg assignee:grunweg |
4-35163 4 days ago |
142-47152 142 days ago |
66-69993 66 days |
| 33895 |
jessealama author:jessealama |
feat(Computability/Primrec): add list_take, list_drop, list_modify, and list_set |
This PR shows that several list operations from Lean core are primitive recursive:
- `list_drop`: [`List.drop`](https://github.com/leanprover/lean4/blob/master/src/Init/Data/List/TakeDrop.lean), via iterating `List.tail` using `nat_iterate`
- `list_take`: [`List.take`](https://github.com/leanprover/lean4/blob/master/src/Init/Data/List/TakeDrop.lean), via `list_drop` on the reversed list
- `list_modifyHead'`: [`List.modifyHead`](https://github.com/leanprover/lean4/blob/master/src/Init/Data/List/Nat/Modify.lean) with external data
- `list_modify'`: [`List.modify`](https://github.com/leanprover/lean4/blob/master/src/Init/Data/List/Nat/Modify.lean) with external data
- `list_modify`: [`List.modify`](https://github.com/leanprover/lean4/blob/master/src/Init/Data/List/Nat/Modify.lean)
- `list_set`: [`List.set`](https://github.com/leanprover/lean4/blob/master/src/Init/Prelude.lean)
The primed versions (`list_modify'`, `list_modifyHead'`) take a function `g : β → α → α` that depends on external data of type `β`. This generalization enables deriving the other operations:
- `list_modify` specializes `list_modify'` with `β = Unit`
- `list_set` uses `list_modify'` via `List.set_eq_modify`
Also moves `list_length` earlier in the file (before `list_drop` and `list_take`, which depend on it). |
new-contributor
t-computability
|
47/4 |
Mathlib/Computability/Primrec/List.lean |
1 |
1 |
['github-actions'] |
nobody |
4-28692 4 days ago |
57-71250 57 days ago |
58-8105 58 days |
| 22366 |
kim-em author:kim-em |
feat: `check_equalities` tactic for diagnosing defeq problems |
The `check_equalities` tactic,
which checks the typing of equalities in the goal,
reporting discrepancies between the implicit type argument of the equality,
and the inferred types of the left and right hand sides,
at "instances and reducible" transparency.
Reports from this tactic do not necessarily indicate a problem,
although typically `simp` should reduce rather than increase the reported discrepancies.
`check_equalities` may be useful in diagnosing uses of `erw`. |
t-meta |
123/4 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Basic.lean,Mathlib/Tactic/CategoryTheory/CheckCompositions.lean,Mathlib/Tactic/CheckEqualities.lean,Mathlib/Tactic/Common.lean,MathlibTest/check_equalities.lean |
7 |
21 |
['adomani', 'b-mehta', 'eric-wieser', 'fpvandoorn', 'github-actions', 'grunweg', 'kim-em', 'mathlib-bors', 'mathlib4-merge-conflict-bot'] |
adamtopaz assignee:adamtopaz |
4-12046 4 days ago |
364-47397 364 days ago |
15-14325 15 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 |
4-12045 4 days ago |
7-49107 7 days ago |
7-51278 7 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 |
4-12041 4 days ago |
9-69627 9 days ago |
16-10279 16 days |
| 35677 |
euprunin author:euprunin |
chore(SetTheory): golf proofs |
This PR removes unused `have`/`haveI`/`let`/`letI` calls + some small similar cleanups.
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):
* `Cardinal.mul_eq_self`: unchanged 🎉
* `Cardinal.succ_natCast`: unchanged 🎉
* `Ordinal.exists_fundamental_sequence`: unchanged 🎉
* `Cardinal.mk_subtype_le_of_countable_eventually_mem`: unchanged 🎉
* `Nat.card_image_of_injOn`: unchanged 🎉
* `mul_le_of_limit_aux`: 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-set-theory |
2/11 |
Mathlib/SetTheory/Cardinal/Arithmetic.lean,Mathlib/SetTheory/Cardinal/Basic.lean,Mathlib/SetTheory/Cardinal/Cofinality.lean,Mathlib/SetTheory/Cardinal/CountableCover.lean,Mathlib/SetTheory/Cardinal/Finite.lean,Mathlib/SetTheory/Ordinal/Arithmetic.lean,Mathlib/SetTheory/ZFC/PSet.lean |
7 |
4 |
['euprunin', 'github-actions', 'leanprover-radar', 'vihdzp'] |
alreadydone assignee:alreadydone |
4-12039 4 days ago |
18-73175 18 days ago |
18-73082 18 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.*
---
[](https://gitpod.io/from-referrer/)
|
file-removed
t-category-theory
|
191/41 |
Mathlib.lean,Mathlib/CategoryTheory/Subobject/Classifier/Defs.lean |
2 |
4 |
['dagurtomas', 'edegeltje', 'github-actions', 'mathlib-merge-conflicts'] |
joelriou assignee:joelriou |
4-12038 4 days ago |
7-39865 7 days ago |
9-55795 9 days |
| 36093 |
tb65536 author:tb65536 |
feat(GroupTheory/Nilpotent): remove `[IsNilpotent]` assumption from some theorems |
This PR uses the junk value of `nilpotencyClass` to remove `[IsNilpotent]` assumption from some theorems.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
t-group-theory
label:t-algebra$ |
18/12 |
Mathlib/GroupTheory/Nilpotent.lean |
1 |
1 |
['github-actions'] |
riccardobrasca assignee:riccardobrasca |
4-12037 4 days ago |
10-14793 10 days ago |
10-14701 10 days |
| 36101 |
wwylele author:wwylele |
feat(RingTheory): lemmas about power of maximal ideal |
This adds `IsMaximal.mul_mem_pow` that generalizes `Ideal.IsPrime.mul_mem_pow ` from (IsPrime + IsDedekindDomain) to IsMaximal (Except for the trivial bot case, which is why the prime version is kept)
Also added a related `Quotient.isUnit_mk_pow_{of/iff}_notMem` for determining units in a quotient by power
Disclosure of AI usage: this was produced when I chat with LLM for certain exercise problems, and I identified these small lemmas that can be implemented. Also asked LLM for some hints for idea. Code entirely written by me
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
59/6 |
Mathlib/RingTheory/DedekindDomain/Ideal/Lemmas.lean,Mathlib/RingTheory/Ideal/Operations.lean,Mathlib/RingTheory/Ideal/Quotient/Basic.lean,Mathlib/RingTheory/Ideal/Quotient/Operations.lean |
4 |
2 |
['copilot-pull-request-reviewer', 'github-actions'] |
chrisflav assignee:chrisflav |
4-12037 4 days ago |
9-83905 9 days ago |
9-83812 9 days |
| 36137 |
smmercuri author:smmercuri |
feat: define pullbacks of `HeightOneSpectrum` |
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
7/0 |
Mathlib/RingTheory/DedekindDomain/Ideal/Lemmas.lean |
1 |
1 |
['github-actions'] |
erdOne assignee:erdOne |
4-12035 4 days ago |
9-52172 9 days ago |
9-52079 9 days |
| 36390 |
Thmoas-Guan author:Thmoas-Guan |
feat(RingTheory/Ideal): move and add some lemma about smul top |
move and add some lemma about smul top
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
34/8 |
Mathlib/RingTheory/Ideal/Operations.lean,Mathlib/RingTheory/Ideal/Quotient/Operations.lean,Mathlib/RingTheory/Regular/RegularSequence.lean |
3 |
2 |
['github-actions', 'tb65536'] |
nobody |
4-4089 4 days ago |
4-76213 4 days ago |
4-77323 4 days |
| 35017 |
robo7179 author:robo7179 |
feat(Combinatorics/SimpleGraph/Acyclic): add every nontrivial tree has atleast two leaves |
Added two theorems to prove that every non trivial tree has atleast two leaves (one in Finite the other in Acyclic).
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
75/0 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Finite.lean |
2 |
24 |
['IvanRenison', 'SnirBroshi', 'github-actions', 'robo7179'] |
nobody |
3-65547 3 days ago |
4-35890 4 days ago |
31-32107 31 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 |
35 |
['Thmoas-Guan', 'dagurtomas', 'github-actions', 'joelriou', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'robin-carlier'] |
eric-wieser assignee:eric-wieser |
3-63671 3 days ago |
4-6070 4 days ago |
28-30378 28 days |
| 36433 |
tb65536 author:tb65536 |
feat(RingTheory/Ideal/Quotient/HasFiniteQuotients): a ring with finite quotients has finitely many ideals of bounded norm |
This PR proves that a ring with finite quotients has only finitely many ideals of bounded norm.
This is needed for the construction of L-functions over number fields.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
large-import
|
69/5 |
Mathlib/RingTheory/Ideal/Quotient/HasFiniteQuotients.lean |
1 |
1 |
['github-actions'] |
nobody |
3-61142 3 days ago |
3-61817 3 days ago |
0-1 1 second |
| 35804 |
mariainesdff author:mariainesdff |
feat(RingTheory/DividedPowerAlgebra/Init): add universal divided power algebra |
We define the universal divided power algebra of an `R`-module `M`.
Co-authored by @AntoineChambert-Loir
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
284/0 |
Mathlib.lean,Mathlib/RingTheory/DividedPowerAlgebra/Init.lean |
2 |
1 |
['github-actions'] |
mattrobball assignee:mattrobball |
3-60122 3 days ago |
3-60192 3 days ago |
15-50684 15 days |
| 35539 |
xgenereux author:xgenereux |
feat(DedekindDomain/Factorization): add `iInf` version of `finprod_heightOneSpectrum_factorization` |
This PR adds an `iInf` version of `finprod_heightOneSpectrum_factorization`. This requires two lemmas:
- `prod_eq_iInf_of_coprime` - An `iInf` version of `mul_eq_inf_of_coprime`.
- `HeightOneSpectrum.pow_sup_pow_eq_top` - Bundled up version of `Ideal.IsMaximal.coprime_of_ne` + `Ideal.pow_sup_pow_eq_top` for `HeightOneSpectrum`.
------
I noticed that these lemmas simplify a bit the work on the Chinese remainder theorem done in the file. The last commit of this PR is this simplification. I can remove it if this is not relevant.
Co-authored-by: María Inés de Frutos Fernández <[mariaines.dff@gmail.com](mailto:mariaines.dff@gmail.com)>
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
87/48 |
Mathlib/Algebra/Module/DedekindDomain.lean,Mathlib/RingTheory/DedekindDomain/Factorization.lean,Mathlib/RingTheory/DedekindDomain/Ideal/Lemmas.lean,Mathlib/RingTheory/Ideal/Operations.lean,Mathlib/RingTheory/Ideal/Quotient/Operations.lean |
5 |
17 |
['chrisflav', 'erdOne', 'github-actions', 'xgenereux'] |
chrisflav assignee:chrisflav |
3-57636 3 days ago |
3-57706 3 days ago |
20-67404 20 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 |
1 |
['github-actions'] |
bryangingechen assignee:bryangingechen |
3-57474 3 days ago |
13-78982 13 days ago |
13-78889 13 days |
| 29550 |
Raph-DG author:Raph-DG |
feat(RingTheory): Order of vanishing in a discrete valuation ring |
In this PR we develop some API for working with the order of vanishing in a discrete valuation ring.
---
[](https://gitpod.io/from-referrer/)
|
file-removed
t-ring-theory
large-import
|
561/5 |
Mathlib.lean,Mathlib/Algebra/Algebra/Tower.lean,Mathlib/Algebra/GroupWithZero/Action/Basic.lean,Mathlib/Algebra/Order/Group/MinMax.lean,Mathlib/Algebra/Order/GroupWithZero/Canonical.lean,Mathlib/RingTheory/DiscreteValuationRing/Basic.lean,Mathlib/RingTheory/DiscreteValuationRing/TFAE.lean,Mathlib/RingTheory/OrderOfVanishing/Basic.lean,Mathlib/RingTheory/OrderOfVanishing/Noetherian.lean,Mathlib/RingTheory/SimpleModule/Basic.lean,Mathlib/RingTheory/Valuation/Discrete/Basic.lean |
11 |
46 |
['Raph-DG', 'erdOne', 'github-actions', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
erdOne assignee:erdOne |
3-51146 3 days ago |
7-64853 7 days ago |
47-62426 47 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'] |
nobody |
3-47567 3 days ago |
3-47645 3 days ago |
3-47552 3 days |
| 35657 |
Rida-Hamadani author:Rida-Hamadani |
feat(SimpleGraph): distance equal or greater than two in terms of common neighborhood |
Two lemmas classifying distances between two vertices according two their common neighborhood. This is the fork version of #12278.
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
33/0 |
Mathlib/Combinatorics/SimpleGraph/Metric.lean,Mathlib/Data/ENat/Basic.lean |
2 |
9 |
['Rida-Hamadani', 'SnirBroshi', 'github-actions', 'vlad902'] |
nobody |
3-47283 3 days ago |
3-47087 3 days ago |
8-32982 8 days |
| 36446 |
Vierkantor author:Vierkantor |
feat(Tactic/Linter): weekly lint for Verso syntax in docstrings |
This PR defines the linter option `linter.style.docStringVerso`, which tries to parse docstrings as Verso documents (while skipping the elaboration part), and reports any parse errors that may occur. This should help the eventual transition to Verso-based docstrings by already collecting examples of docstrings will need to be updated. Verso is not perfectly backward-compatible with Markdown, and so it doesn't make sense to enable this for all CI runs. Instead, I added the linter to the weekly report (that also contains the suggestions for replacing `tac; grind` with `grind`).
Since this linter only checks syntax, not semantics, of Verso it won't detect issues that we also need to fix before enabling Verso in Mathlib, like:
* `#`-headings being wrongly nested
* code snippets referring to non-existent declarations
* broken code blocks
* code snippets not defining which language / parser to use
etc. I argue it is better to incrementally tackle the syntax, since this would also directly improve the quality of our current Markdown rendering.
---
[](https://gitpod.io/from-referrer/)
|
t-linter
documentation
|
68/1 |
Mathlib/Init.lean,Mathlib/Tactic/Linter/DocString.lean |
2 |
1 |
['github-actions'] |
nobody |
3-42024 3 days ago |
3-42100 3 days ago |
3-42007 3 days |
| 36451 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Matching): `edgeSet` is injective and strictly monotonic on matchings, and more API |
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
45/11 |
Mathlib/Combinatorics/SimpleGraph/Matching.lean,Mathlib/Combinatorics/SimpleGraph/Subgraph.lean,Mathlib/Data/Sym/Sym2.lean |
3 |
1 |
['github-actions'] |
nobody |
3-34162 3 days ago |
3-34779 3 days ago |
3-34819 3 days |
| 34637 |
mcdoll author:mcdoll |
feat(Analysis/Distribution): support |
We define the support of distributions. The definition applies to both tempered and classical distributions, but for this PR we only prove some elementary statements for tempered distributions.
---
[](https://gitpod.io/from-referrer/)
|
t-analysis |
255/0 |
Mathlib.lean,Mathlib/Analysis/Distribution/Support.lean,Mathlib/Topology/MetricSpace/Bounded.lean |
3 |
21 |
['ADedecker', 'github-actions', 'lauramonk', 'mcdoll', 'urkud'] |
ADedecker assignee:ADedecker |
3-20334 3 days ago |
4-40614 4 days ago |
32-59547 32 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'] |
b-mehta assignee:b-mehta |
3-19135 3 days ago |
6-53175 6 days ago |
13-19399 13 days |
| 35907 |
JJYYY-JJY author:JJYYY-JJY |
fix(Topology/Defs/Basic): preserve noncanonical topology instances in delaboration |
Preserve noncanonical topology instances in delaboration.
Restore local instances before checking whether topology arguments can be omitted during delaboration, and print `IsOpen[t]`, `IsClosed[t]`, `closure[t]`, and `Continuous[t₁, t₂]` when the topology instances are not canonical in the current local-instance context.
Previously, pretty-printing could silently drop noncanonical topology arguments, so declarations such as `LinearMap.mem_span_iff_continuous_of_finite` were rendered as if they used the default topology.
Closes #33238 |
t-topology
new-contributor
|
147/0 |
Mathlib/Topology/Defs/Basic.lean,MathlibTest/TopologyNonstandardNotation.lean |
2 |
7 |
['JJYYY-JJY', 'copilot-pull-request-reviewer', 'github-actions', 'j-loreaux'] |
j-loreaux assignee:j-loreaux |
3-18008 3 days ago |
3-43495 3 days ago |
9-45896 9 days |
| 35649 |
JovanGerb author:JovanGerb |
feat(Order/GaloisConnection/Defs): use `to_dual` for `GaloisInsertion`/`GaloisCoinsertion` |
This PR uses `to_dual` to generate declarations about `GaloisCoinsertion` from those for `GaloisInsertion`.
- An entry is added to the name translation dictionary for this particular name translation.
- One lemma in another file had to be tagged.
- Some uses of `to_dual` have been replaced with `to_dual none`, because I had written them before `to_dual none` existed.
---
[](https://gitpod.io/from-referrer/)
|
t-order |
42/84 |
Mathlib/Algebra/Group/Submonoid/Units.lean,Mathlib/Order/GaloisConnection/Defs.lean,Mathlib/Order/Monotone/Defs.lean,Mathlib/Tactic/Translate/ToDual.lean,Mathlib/Topology/Order.lean |
5 |
5 |
['JovanGerb', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
3-13819 3 days ago |
3-13848 3 days ago |
6-50034 6 days |
| 30379 |
kckennylau author:kckennylau |
feat(RingTheory): isomorphism of graded rings |
We define `GradedRingEquiv 𝒜 ℬ` to mean isomorphisms of graded rings, with notation `𝒜 ≃+*ᵍ ℬ`. When possible, instead of parametrizing results over `(e : 𝒜 ≃+*ᵍ ℬ)`, you should parametrize over `[GradedEquivLike E 𝒜 ℬ] [RingEquivClass E A B] (e : E)`.
Zulip discussion: [How to define graded ring isomorphisms?](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/How.20to.20define.20graded.20ring.20isomorphisms.3F/with/543962394)
---
Split from #26061.
- [x] depends on: #30355
- [x] depends on: #30312
- [x] depends on: #30367
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
447/1 |
Mathlib.lean,Mathlib/RingTheory/GradedAlgebra/RingEquiv.lean,Mathlib/RingTheory/GradedAlgebra/RingHom.lean |
3 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot'] |
erdOne assignee:erdOne |
3-12039 3 days ago |
8-48532 8 days ago |
8-51715 8 days |
| 31135 |
kckennylau author:kckennylau |
feat(RingTheory): is localization iff is localization on saturation |
In this PR we show that `A` is a localization of `R` on the submonoid `S` iff it is so on the saturation of `S`.
Crucially, the saturation of `S` is precisely the elements that become a unit in `A`.
---
- [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 |
3-12038 3 days ago |
8-44981 8 days ago |
8-46774 8 days |
| 33736 |
fbarroero author:fbarroero |
feat(RingTheory/Polynomial/GaussNorm): The `gaussNorm` is an absolute value if `v` is a nonarchimedean absolute value |
We prove
```
Polynomial.gaussNorm_isAbsoluteValue {c : ℝ} {R : Type*} [Ring R] {v : AbsoluteValue R ℝ}
(hna : IsNonarchimedean v) (hc : 0 < c) : IsAbsoluteValue (gaussNorm v c)
```
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
189/7 |
Mathlib/Algebra/Order/AbsoluteValue/Basic.lean,Mathlib/Algebra/Order/Ring/IsNonarchimedean.lean,Mathlib/RingTheory/Polynomial/GaussNorm.lean |
3 |
11 |
['copilot-pull-request-reviewer', 'erdOne', 'fbarroero', 'github-actions'] |
nobody |
3-12038 3 days ago |
31-53978 31 days ago |
60-36145 60 days |
| 32033 |
Thmoas-Guan author:Thmoas-Guan |
feat(Algebra): injective dimension equal supremum of localized module |
In this PR, we proved that for module over Noetherian ring, projective dimension is equal to the supremum of injective dimension of localized modules over all prime/maximal ideals.
---
- [ ] depends on: #31995
- [ ] depends on: #31998
[](https://gitpod.io/from-referrer/) |
t-algebra label:t-algebra$ |
184/0 |
Mathlib.lean,Mathlib/RingTheory/LocalProperties/InjectiveDimension.lean |
2 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
ocfnash assignee:ocfnash |
3-12037 3 days ago |
6-78243 6 days ago |
6-80655 6 days |
| 33850 |
YuvalFilmus author:YuvalFilmus |
feat(Chebyshev/ChebyshevGauss): Chebyshev–Gauss formula |
We prove the Chebyshev–Gauss quadrature formula, which reduces an integral with respect to the Chebyshev weight function to a finite sum.
---
- [ ] depends on: #33676
[](https://gitpod.io/from-referrer/)
|
t-analysis |
167/0 |
Mathlib.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Chebyshev/ChebyshevGauss.lean |
2 |
4 |
['github-actions', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot'] |
nobody |
3-12037 3 days ago |
44-72741 44 days ago |
44-74236 44 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 |
3-12036 3 days ago |
8-53579 8 days ago |
8-53856 8 days |
| 34709 |
dennj author:dennj |
feat(Analysis/ODE): add discrete Grönwall inequality |
## Summary
Add discrete Grönwall inequality to `Mathlib/Analysis/ODE/DiscreteGronwall.lean`
Provides bounds for recurrence inequalities of the form `u(n+1) ≤ c(n) * u(n) + b(n)`
### Main results
- `discrete_gronwall_prod_general`: Product form working over any linearly ordered commutative ring
- `prod_one_add_Ico_mono`: Auxiliary lemma for product comparisons over subintervals
- `discrete_gronwall`: Classical exponential bound `u(n) ≤ (u(n₀) + ∑ b(k)) * exp(∑ c(i))` (ℝ-specific)
- `discrete_gronwall_Ico`: Uniform bound over a finite interval (ℝ-specific)
## Related work
Complements the continuous Grönwall inequality in `Mathlib.Analysis.ODE.Gronwall`
## References
* Grönwall, T. H. (1919). "Note on the derivatives with respect to a parameter of the solutions of a system of differential equations". *Annals of Mathematics*, 20(4), 292–296.
|
t-analysis
new-contributor
|
174/0 |
Mathlib.lean,Mathlib/Analysis/ODE/DiscreteGronwall.lean |
2 |
1 |
['github-actions'] |
nobody |
3-12036 3 days ago |
40-1452 40 days ago |
40-1359 40 days |
| 35709 |
tb65536 author:tb65536 |
feat(AlgebraicGeometry/EllipticCurve/Reduction): define multiplicative and additive reduction |
This PR adds definitions of multiplicative and additive reduction.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
t-algebraic-geometry
t-number-theory
label:t-algebra$ |
86/5 |
Mathlib/AlgebraicGeometry/EllipticCurve/Reduction.lean |
1 |
6 |
['Multramate', 'github-actions', 'tb65536'] |
riccardobrasca assignee:riccardobrasca |
3-12033 3 days ago |
17-72574 17 days ago |
17-72482 17 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 |
3-12032 3 days ago |
15-981 15 days ago |
15-3854 15 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 |
3-12027 3 days ago |
8-15237 8 days ago |
1-9762 1 day |
| 36214 |
kebekus author:kebekus |
feat: trivial lemmas and simp lemmas concerning `iteratedFDeriv` and `taylorSeries` |
To prepare for upcoming PRs, add several trivial lemmas and simp lemmas concerning `iteratedFDeriv` and `taylorSeries`. Use `@[to_fun]` to port several existing statements to match new style conventions.
---
[](https://gitpod.io/from-referrer/)
|
t-analysis |
94/6 |
Mathlib/Analysis/Calculus/ContDiff/Basic.lean,Mathlib/Analysis/Calculus/ContDiff/FTaylorSeries.lean,Mathlib/Analysis/Calculus/ContDiff/Operations.lean,Mathlib/Analysis/Distribution/TemperateGrowth.lean,Mathlib/LinearAlgebra/Multilinear/Basic.lean,Mathlib/Topology/Algebra/Module/Multilinear/Basic.lean |
6 |
7 |
['github-actions', 'grunweg', 'kebekus'] |
j-loreaux assignee:j-loreaux |
3-12025 3 days ago |
8-41732 8 days ago |
0-11 11 seconds |
| 36264 |
kebekus author:kebekus |
feat: introduce canonical factors, a.k.a. "Blaschke factors", as used in complex analysis |
Introduce canonical factors, also known as "Blaschke factors", used in complex analysis when discussing meromorphic functions defined on spheres.
This material is used in [Project VD](https://github.com/kebekus/ProjectVD), formalizing Value Distribution Theory for meromorphic functions on the complex plane.
---
[](https://gitpod.io/from-referrer/)
|
t-analysis |
169/0 |
Mathlib.lean,Mathlib/Analysis/Complex/CanonicalDecomposition.lean |
2 |
1 |
['github-actions'] |
j-loreaux assignee:j-loreaux |
3-12025 3 days ago |
unknown |
0-0 0 seconds |
| 36278 |
kebekus author:kebekus |
feat: Poisson Integral Formula for harmonic functions |
Establish two versions of the Poisson Integral Formula for harmonic functions on arbitrary disks in the complex plane, formulated with the real part of the Herglotz–Riesz kernel of integration and with the Poisson kernel, respectively.
This material is used in [Project VD](https://github.com/kebekus/ProjectVD), formalizing Value Distribution Theory for meromorphic functions on the complex plane.
---
[](https://gitpod.io/from-referrer/)
|
t-analysis |
111/0 |
Mathlib.lean,Mathlib/Analysis/Complex/Harmonic/Poisson.lean,Mathlib/Analysis/Complex/Poisson.lean |
3 |
1 |
['github-actions'] |
j-loreaux assignee:j-loreaux |
3-12024 3 days ago |
unknown |
0-0 0 seconds |
| 36305 |
JovanGerb author:JovanGerb |
feat(translate): support `to_additive (attr := to_fun)` |
This PR adds extensible support for letting `to_additive`/`to_dual` interact with other attributes that create declarations, such as `to_fun` and `simps`. Previously, this behaviour was hard-coded just for `simps`.
This PR removes `simps` from the imports of `Translate.Core`. For this, `simps` is removed from the existing attribute linter.
---
[](https://gitpod.io/from-referrer/)
|
|
98/128 |
Mathlib.lean,Mathlib/Algebra/FiniteSupport/Basic.lean,Mathlib/Algebra/Group/Defs.lean,Mathlib/Algebra/Notation/Defs.lean,Mathlib/Lean/Meta/Simp.lean,Mathlib/MeasureTheory/Group/Arithmetic.lean,Mathlib/Order/Defs/LinearOrder.lean,Mathlib/Order/Defs/Unbundled.lean,Mathlib/Order/Filter/Basic.lean,Mathlib/Order/Notation.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Simps/Basic.lean,Mathlib/Tactic/ToFun.lean,Mathlib/Tactic/Translate/Attributes.lean,Mathlib/Tactic/Translate/Core.lean,Mathlib/Topology/Algebra/IsUniformGroup/Basic.lean |
16 |
3 |
['JovanGerb', 'fpvandoorn', 'github-actions'] |
j-loreaux assignee:j-loreaux |
3-12022 3 days ago |
6-57258 6 days ago |
7-7443 7 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 |
3-12018 3 days ago |
6-24511 6 days ago |
6-25050 6 days |
| 36332 |
mike1729 author:mike1729 |
feat(Analysis/Normed/Module/WeakDual): register bornology and boundedness API |
## Description
This PR registers `Bornology` instance and introduces a boundedness API as discussed [on Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/instBornology.20for.20WeakSpace.20and.20WeakDual/with/577457935).
### Main additions
- **`WeakDual.instBornology`**: Bornology instance on `WeakDual 𝕜 E` inherited from `StrongDual 𝕜 E` via `inferInstanceAs`. This makes `IsBounded` available directly on weak dual sets, where boundedness means operator-norm boundedness.
- **`isVonNBounded_iff_pointwise_bounded`**: A set `s` in `WeakDual 𝕜 E` is von Neumann bounded (w.r.t. the weak-* topology) iff it is pointwise bounded: every `x : E` has `‖f x‖ ≤ r x` for all `f ∈ s`.
- **`isBounded_iff_isVonNBounded`**: For normed spaces over `ℝ` or `ℂ`, norm-boundedness and weak-* von Neumann boundedness coincide (via Banach–Steinhaus).
- **`isBounded_iff_pointwise_bounded`**: Combines the above two: norm-boundedness ↔ pointwise boundedness.
- **`isBounded_polar`** and **`isBounded_closedBall`**: Standalone lemmas replacing repeated inline `isBounded_toStrongDual_preimage_iff_isBounded.mpr ...` patterns.
- **Simp lemmas**: `isBounded_toStrongDual_preimage_iff_isBounded` and `isBounded_toWeakDual_preimage_iff_isBounded` for translating between weak and strong dual boundedness.
### API simplification
The existing lemmas `isClosed_image_coe_of_bounded_of_closed`, `isCompact_of_bounded_of_closed`, and `isSeqCompact_of_isBounded_of_isClosed` now take `IsBounded s` directly instead of the more verbose `IsBounded (StrongDual.toWeakDual ⁻¹' s)`, since the two are definitionally equal with the new bornology instance.
### Minor changes
- Replaced `grind` tactic usage with explicit term
- Fixed deprecation dates from 2024-11-19 to 2025-11-19
- Renamed local variable `F` to `E` for consistency with the rest of the file
- Added comprehensive module and declaration docstrings
---
- [ ] depends on: —
- [ ] modifies an existing declaration: yes (simplified signatures of `isClosed_image_coe_of_bounded_of_closed`, `isCompact_of_bounded_of_closed`, `isSeqCompact_of_isBounded_of_isClosed`)
- [ ] adds new declarations: yes (`instBornology`, `isBounded_toStrongDual_preimage_iff_isBounded`, `isBounded_toWeakDual_preimage_iff_isBounded`, `isVonNBounded_iff_pointwise_bounded`, `isBounded_iff_isVonNBounded`, `isBounded_iff_pointwise_bounded`, `isBounded_closedBall`, `isBounded_polar`)
---
Open in Gitpod
-->
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-analysis
|
205/70 |
Mathlib/Analysis/Normed/Module/WeakDual.lean |
1 |
2 |
['github-actions'] |
j-loreaux assignee:j-loreaux |
3-12017 3 days ago |
6-29586 6 days ago |
6-29595 6 days |
| 36463 |
AlexeyMilovanov author:AlexeyMilovanov |
feat(Data.Nat.Bits): add Nat.ofBits and prove bits_injective |
This PR introduces `Nat.ofBitsList` for `List Bool` and provides the missing proofs that the standard binary representation `Nat.bits` is injective (`Nat.bits_injective`) and possesses a right inverse for normalized lists (`Nat.bits_ofBitsList`).
`ofBitsList` is implemented as an `abbrev` using `foldr` (keeping it transparent to tactics like `simp`). It serves as the exact left inverse to `bits`. Furthermore, `bits_ofBitsList` establishes that `bits` and `ofBitsList` form a bijection between `ℕ` and the set of lists with no trailing `false` values.
This avoids the name collision with `Nat.ofBits` from `Batteries` and aligns with previous Zulip discussions (see [here](https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/PR.20.2335857.3A.20Bijective.20Base-2.20Numeration)) regarding the utility of having a complete list-based API for `Nat.bits` in the library.
CC: @linesthatinterlace
- Adds `Nat.ofBitsList` (as an `abbrev`)
- Adds `Nat.ofBitsList_bits` (left inverse property)
- Adds `Nat.bits_injective`
- Adds `Nat.ofBitsList_eq_zero_iff` (helper lemma for lists without trailing zeros)
- Adds `Nat.bits_ofBitsList` (right inverse property) |
t-data
new-contributor
|
68/1 |
Mathlib/Data/Nat/Bits.lean |
1 |
3 |
['github-actions', 'linesthatinterlace'] |
nobody |
3-3713 3 days ago |
3-13618 3 days ago |
3-13625 3 days |
| 36466 |
wwylele author:wwylele |
feat(Geometry/Euclidean): misc lemma about μHE |
Some building blocks for #34826
---
[](https://gitpod.io/from-referrer/)
|
t-euclidean-geometry
t-measure-probability
|
61/0 |
Mathlib/Geometry/Euclidean/Volume/Measure.lean |
1 |
2 |
['copilot-pull-request-reviewer', 'github-actions'] |
nobody |
3-2724 3 days ago |
3-3643 3 days ago |
3-3550 3 days |
| 36467 |
SnirBroshi author:SnirBroshi |
feat(Data/Sym/Sym2): `fromRel` & `ToRel` order isomorphism |
This obsoletes the existing `fromRel` order embedding, but adds an order embedding for `ToRel` since it can avoid `Subtype` which makes it more useful (e.g. it shows `ToRel` is injective).
---
[](https://gitpod.io/from-referrer/)
|
t-data |
35/10 |
Mathlib/Data/Sym/Sym2.lean |
1 |
1 |
['github-actions'] |
nobody |
3-56 3 days ago |
3-131 3 days ago |
3-38 3 days |
| 36388 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/AdjMatrix): submatrices and homomorphisms |
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
72/3 |
Mathlib/Combinatorics/SimpleGraph/AdjMatrix.lean |
1 |
9 |
['SnirBroshi', 'eric-wieser', 'github-actions'] |
nobody |
2-81546 2 days ago |
3-10112 3 days ago |
4-35110 4 days |
| 33121 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Hasse): paths in a graph are isomorphic to path graphs |
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
43/1 |
Mathlib/Combinatorics/SimpleGraph/Hasse.lean |
1 |
23 |
['MrQubo', 'SnirBroshi', 'erdOne', 'github-actions', 'jcommelin', 'mitchell-horner'] |
b-mehta assignee:b-mehta |
2-80808 2 days ago |
21-8907 21 days ago |
79-76130 79 days |
| 30526 |
SnirBroshi author:SnirBroshi |
chore(Logic/Relation): use `≤` to spell subrelation |
Replace every `∀ x y, r x y → r' x y` with `r ≤ r'`
---
[](https://gitpod.io/from-referrer/)
|
t-logic |
161/136 |
Mathlib.lean,Mathlib/Algebra/Category/Grp/FilteredColimits.lean,Mathlib/Algebra/Category/ModuleCat/FilteredColimits.lean,Mathlib/Algebra/Category/MonCat/FilteredColimits.lean,Mathlib/CategoryTheory/Action.lean,Mathlib/CategoryTheory/ConnectedComponents.lean,Mathlib/CategoryTheory/Filtered/Connected.lean,Mathlib/CategoryTheory/IsConnected.lean,Mathlib/CategoryTheory/Limits/Final.lean,Mathlib/CategoryTheory/Limits/Types/Coequalizers.lean,Mathlib/CategoryTheory/Limits/Types/Filtered.lean,Mathlib/Combinatorics/Enumerative/DyckWord.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean,Mathlib/Computability/ContextFreeGrammar.lean,Mathlib/Computability/TuringMachine/Config.lean,Mathlib/Data/PFunctor/Multivariate/M.lean,Mathlib/Data/Quot.lean,Mathlib/FieldTheory/PerfectClosure.lean,Mathlib/GroupTheory/FreeGroup/Basic.lean,Mathlib/Logic/Relation.lean,Mathlib/Order/Basic.lean,Mathlib/Order/Defs/Prop.lean,Mathlib/Order/Interval/Finset/Basic.lean,Mathlib/Order/WellFoundedSet.lean,Mathlib/Topology/Gluing.lean |
25 |
15 |
['SnirBroshi', 'github-actions', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'thorimur', 'vihdzp'] |
thorimur assignee:thorimur |
2-80446 2 days ago |
2-80473 2 days ago |
49-18406 49 days |
| 35647 |
BryceT233 author:BryceT233 |
feat(RingTheory/Ideal/Quotient): add a canonical inclusion map |
This is the second PR split from the larger PR https://github.com/leanprover-community/mathlib4/pull/34936 to make the review process easier.
It introduces `Submodule.powSmulQuotInclusion`, which is the canonical inclusion from `I ^ a • N ⧸ I ^ b • (I ^ a • N)` to `M ⧸ I ^ c • N` where `c = b + a`, and provides auxiliary lemmas for it
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
|
37/0 |
Mathlib/RingTheory/Ideal/Quotient/PowTransition.lean |
1 |
9 |
['BryceT233', 'erdOne', 'github-actions', 'wwylele'] |
chrisflav assignee:chrisflav |
2-77292 2 days ago |
13-5474 13 days ago |
19-20168 19 days |
| 36362 |
bryangingechen author:bryangingechen |
ci: only generate auto-merge token if the label is present |
Similar to #35958, we don't need to generate this token if the steps that use it don't need to run. This was causing a build failure for the dependabot PR: #36358
I also cleanup a TODO from #29726.
---
[](https://gitpod.io/from-referrer/)
|
CI |
12/21 |
.github/workflows/build_template.yml |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
2-76929 2 days ago |
2-76952 2 days ago |
5-47747 5 days |
| 36287 |
ScottCarnahan author:ScottCarnahan |
feat(Algebra/Lie): add graded Lie ring class |
This PR adds graded bracket and graded Lie ring classes. It is a first step toward Lie algebras graded by additive commutative monoids. The design is mostly copied from the graded ring API, but with Props enforcing additivity of degree.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
181/0 |
Mathlib.lean,Mathlib/Algebra/DirectSum/Basic.lean,Mathlib/Algebra/Lie/Graded.lean |
3 |
2 |
['github-actions'] |
ocfnash assignee:ocfnash |
2-61943 2 days ago |
7-37208 7 days ago |
7-37115 7 days |
| 30077 |
agjftucker author:agjftucker |
feat(Analysis/Calculus/ImplicitFunction): define implicitFunctionOfBivariate |
Two specializations of the implicit function theorem, one applying to an uncurried bivariate function and one applying to a curried bivariate function.
---
This PR is a synthesis of material from others which failed to make progress. But there seems always to have been a different reason for it, so I'm afraid I keep trying where maybe I shouldn't.
#26985 reviewed by j-loreaux and later on by winstonyin.
#16743 and #26300 reviewed by sgouezel.
[Zulip chat](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Inverse.20function.20theorem.20and.20ContinuousLinearEquiv/with/567586606) with Yury Kudryashov.
There are certain changes agreed upon in those PRs, e.g. to existing names, that are doubtless good but that I have excised from this PR to avoid distraction.
[](https://gitpod.io/from-referrer/)
|
t-analysis |
306/0 |
Mathlib.lean,Mathlib/Analysis/Calculus/FDeriv/Partial.lean,Mathlib/Analysis/Calculus/Implicit.lean,Mathlib/Analysis/Calculus/ImplicitFunction/Bivariate.lean,Mathlib/Analysis/Calculus/ImplicitFunction/ProdDomain.lean |
5 |
2 |
['github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
2-61837 2 days ago |
24-25556 24 days ago |
39-78 39 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 |
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'] |
nobody |
2-59665 2 days ago |
6-28589 6 days ago |
6-28496 6 days |
| 36357 |
yuanyi-350 author:yuanyi-350 |
feat(Analysis/Deriv): add some lemmas for `iteratedDeriv` |
---
[](https://gitpod.io/from-referrer/)
|
t-analysis |
84/8 |
Mathlib/Analysis/Calculus/ContDiff/FTaylorSeries.lean,Mathlib/Analysis/Calculus/Deriv/Basic.lean,Mathlib/Analysis/Calculus/FDeriv/Add.lean,Mathlib/Analysis/Calculus/FDeriv/Equiv.lean,Mathlib/Analysis/Calculus/IteratedDeriv/Lemmas.lean |
5 |
7 |
['github-actions', 'j-loreaux', 'urkud', 'yuanyi-350'] |
nobody |
2-57089 2 days ago |
2-79418 2 days ago |
4-51598 4 days |
| 32692 |
WilliamCoram author:WilliamCoram |
feat: define multivariate restricted power series |
We define multivariate restricted power series over a normed ring R, and show the properties that they form a ring when R has the ultrametric property.
This work generalises my previous work in #26089 which will need to be refactored.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
t-number-theory
new-contributor
|
178/0 |
Mathlib.lean,Mathlib/Analysis/Normed/Order/Antidiag.lean,Mathlib/RingTheory/MvPowerSeries/Restricted.lean |
3 |
35 |
['WilliamCoram', 'erdOne', 'github-actions', 'jcommelin', 'mathlib-merge-conflicts'] |
nobody |
2-52180 2 days ago |
2-81373 2 days ago |
10-75328 10 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'] |
nobody |
2-49843 2 days ago |
4-35806 4 days ago |
4-38129 4 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'] |
nobody |
2-47944 2 days ago |
28-377 28 days ago |
28-284 28 days |
| 35042 |
JovanGerb author:JovanGerb |
chore: remove `meta` form `import Mathlib.Tactic...` |
This PR cleans up some imports of the form `import Mathlib.Tactic...`, by either removing them entirely, or removing the `meta` keyword. It should never be necessary to `meta import` a file from `Mathlib.Tactic`, because the relevant definitions should already have been marked as `meta`.
The motivation is to reduce the amount of files that are `meta` imported when writing e.g. `import Mathlib`, hence reducing the amount of stuff that needs to be loaded. There are more other `meta import`s that need to be removed, but this PR is a good start.
---
[](https://gitpod.io/from-referrer/)
|
large-import |
61/142 |
Mathlib/Algebra/BigOperators/Group/Finset/Defs.lean,Mathlib/Algebra/FreeMonoid/Basic.lean,Mathlib/Algebra/Group/Action/Hom.lean,Mathlib/Algebra/Order/Group/Unbundled/Abs.lean,Mathlib/CategoryTheory/Functor/Basic.lean,Mathlib/Data/List/ChainOfFn.lean,Mathlib/Dynamics/OmegaLimit.lean,Mathlib/GroupTheory/GroupAction/Defs.lean,Mathlib/GroupTheory/GroupAction/DomAct/Basic.lean,Mathlib/Tactic/Algebraize.lean,Mathlib/Tactic/ApplyFun.lean,Mathlib/Tactic/ArithMult.lean,Mathlib/Tactic/Bound.lean,Mathlib/Tactic/CategoryTheory/Bicategory/Datatypes.lean,Mathlib/Tactic/CategoryTheory/Bicategory/Normalize.lean,Mathlib/Tactic/CategoryTheory/Bicategory/PureCoherence.lean,Mathlib/Tactic/CategoryTheory/CheckCompositions.lean,Mathlib/Tactic/CategoryTheory/Coherence/Basic.lean,Mathlib/Tactic/CategoryTheory/Coherence/Normalize.lean,Mathlib/Tactic/CategoryTheory/Coherence/PureCoherence.lean,Mathlib/Tactic/CategoryTheory/Elementwise.lean,Mathlib/Tactic/CategoryTheory/Monoidal/Datatypes.lean,Mathlib/Tactic/CategoryTheory/Monoidal/Normalize.lean,Mathlib/Tactic/CategoryTheory/Monoidal/PureCoherence.lean,Mathlib/Tactic/CategoryTheory/ToApp.lean,Mathlib/Tactic/Choose.lean,Mathlib/Tactic/DeclarationNames.lean,Mathlib/Tactic/DefEqTransformations.lean,Mathlib/Tactic/DeriveCountable.lean,Mathlib/Tactic/DeriveFintype.lean,Mathlib/Tactic/DeriveTraversable.lean,Mathlib/Tactic/ENatToNat.lean,Mathlib/Tactic/Explode.lean,Mathlib/Tactic/Explode/Pretty.lean,Mathlib/Tactic/FinCases.lean,Mathlib/Tactic/FunProp.lean,Mathlib/Tactic/FunProp/Attr.lean,Mathlib/Tactic/FunProp/Core.lean,Mathlib/Tactic/FunProp/FunctionData.lean,Mathlib/Tactic/FunProp/Theorems.lean,Mathlib/Tactic/FunProp/Types.lean,Mathlib/Tactic/GCongr/Core.lean,Mathlib/Tactic/GRewrite/Elab.lean,Mathlib/Tactic/Group.lean,Mathlib/Tactic/IrreducibleDef.lean,Mathlib/Tactic/Lift.lean,Mathlib/Tactic/Linarith.lean,Mathlib/Tactic/Linarith/Lemmas.lean,Mathlib/Tactic/Linarith/Oracle/FourierMotzkin.lean,Mathlib/Tactic/Linarith/Oracle/SimplexAlgorithm.lean,Mathlib/Tactic/Linarith/Oracle/SimplexAlgorithm/Gauss.lean,Mathlib/Tactic/Linarith/Oracle/SimplexAlgorithm/SimplexAlgorithm.lean,Mathlib/Tactic/Linarith/Preprocessing.lean,Mathlib/Tactic/Linarith/Verification.lean,Mathlib/Tactic/LinearCombination/Lemmas.lean,Mathlib/Tactic/Linter/DeprecatedSyntaxLinter.lean,Mathlib/Tactic/Linter/DocPrime.lean,Mathlib/Tactic/Linter/DocString.lean,Mathlib/Tactic/Linter/EmptyLine.lean,Mathlib/Tactic/Linter/FlexibleLinter.lean,Mathlib/Tactic/Linter/GlobalAttributeIn.lean,Mathlib/Tactic/Linter/HashCommandLinter.lean,Mathlib/Tactic/Linter/Multigoal.lean,Mathlib/Tactic/Linter/OldObtain.lean,Mathlib/Tactic/Linter/Style.lean,Mathlib/Tactic/Linter/TextBased.lean,Mathlib/Tactic/Linter/TextBased/UnicodeLinter.lean,Mathlib/Tactic/Linter/UnusedTactic.lean,Mathlib/Tactic/Linter/UnusedTacticExtension.lean,Mathlib/Tactic/MinImports.lean,Mathlib/Tactic/MoveAdd.lean,Mathlib/Tactic/Nontriviality/Core.lean,Mathlib/Tactic/NormNum/DivMod.lean,Mathlib/Tactic/NormNum/Ineq.lean,Mathlib/Tactic/NormNum/Prime.lean,Mathlib/Tactic/Order.lean,Mathlib/Tactic/Order/CollectFacts.lean,Mathlib/Tactic/Order/Graph/Tarjan.lean,Mathlib/Tactic/PNatToNat.lean,Mathlib/Tactic/Peel.lean,Mathlib/Tactic/ProdAssoc.lean,Mathlib/Tactic/ProxyType.lean,Mathlib/Tactic/Push.lean,Mathlib/Tactic/Qify.lean,Mathlib/Tactic/RSuffices.lean,Mathlib/Tactic/Ring/Basic.lean,Mathlib/Tactic/Ring/Common.lean,Mathlib/Tactic/Ring/Compare.lean,Mathlib/Tactic/Ring/PNat.lean,Mathlib/Tactic/Simproc/Divisors.lean,Mathlib/Tactic/Simproc/FinsetInterval.lean,Mathlib/Tactic/Simps/Basic.lean,Mathlib/Tactic/Subsingleton.lean,Mathlib/Tactic/TacticAnalysis/Declarations.lean,Mathlib/Tactic/TautoSet.lean,Mathlib/Tactic/Translate/Core.lean,Mathlib/Tactic/Translate/TagUnfoldBoundary.lean,Mathlib/Tactic/Widget/Calc.lean,Mathlib/Tactic/Widget/CommDiag.lean,Mathlib/Tactic/Widget/CongrM.lean |
107 |
8 |
['JovanGerb', 'dupuisf', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts'] |
nobody |
2-47714 2 days ago |
20-64532 20 days ago |
24-58917 24 days |
| 36426 |
kim-em author:kim-em |
chore: disable checkType env_linter |
This PR disables the `checkType` env_linter, which takes ~44% of total linting time to type-check every declaration statement. This is redundant since all declarations are already type-checked when added to the environment, and external kernel checkers (lean4checker, trepplein) verify Mathlib regularly. No one on Zulip recalls ever seeing it fire in practice.
🤖 Prepared with Claude Code |
|
8/0 |
Mathlib/Init.lean |
1 |
3 |
['JovanGerb', 'Vierkantor', 'github-actions'] |
nobody |
2-47303 2 days ago |
3-81418 3 days ago |
3-84530 3 days |
| 35798 |
xroblot author:xroblot |
feat(RamificationInertia): compute the degrees of the decomposition field and inertia field |
Prove the degree formulas for the decomposition and inertia fields.
---
- [x] depends on: #35530
- [x] depends on: #35303
[](https://gitpod.io/from-referrer/)
|
large-import
t-number-theory
|
92/5 |
Mathlib/NumberTheory/RamificationInertia/HilbertTheory.lean |
1 |
9 |
['github-actions', 'joneugster', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'tb65536', 'xroblot'] |
nobody |
2-44805 2 days ago |
3-59191 3 days ago |
3-64427 3 days |
| 35451 |
samueloettl author:samueloettl |
feat(MeasureTheory.Function): compMeasurePreserving_iterate |
---
These are useful for dynamics/ergodic theory.
Possibly some of these could be simp lemmas but I'm not confident enough to say that they are so I didn't mark them as such.
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-measure-probability
|
85/2 |
Mathlib/MeasureTheory/Function/AEEqFun.lean,Mathlib/MeasureTheory/Function/LpSpace/Basic.lean,Mathlib/MeasureTheory/Measure/QuasiMeasurePreserving.lean,Mathlib/Order/Filter/Basic.lean |
4 |
17 |
['ADedecker', 'github-actions', 'samueloettl'] |
ADedecker assignee:ADedecker |
2-36237 2 days ago |
2-36237 2 days ago |
22-24901 22 days |
| 36492 |
smmercuri author:smmercuri |
chore(NumberField/FinitePlaces): generalise `RingOfIntegers K` to `R` |
This PR slightly generalises the domain in `FinitePlaces.lean` from `RingOfIntegers K` to `R` such that `Module.Finite ℤ R` and `Module.Free ℤ R`. This enables these results to be applied equally to `O ℚ` and `ℤ` when `K = ℚ`
---
[](https://gitpod.io/from-referrer/)
|
t-number-theory |
129/126 |
Mathlib/NumberTheory/NumberField/FinitePlaces.lean,Mathlib/NumberTheory/NumberField/ProductFormula.lean |
2 |
1 |
['github-actions'] |
nobody |
2-35134 2 days ago |
2-35233 2 days ago |
2-35176 2 days |
| 36458 |
MichaelStollBayreuth author:MichaelStollBayreuth |
feat(Algebra/Group): some API lemmas for powMonoidHom |
This adds a few lemmas about `powMonoidHom`/`nsmulAddMonoidHom` and one convenience lemma that says that the range (as a `MonoidHom`/`AddMonoidHom`) of a `MulEquiv`/`AddEquiv` is the top subobject.
It also defines the isomorphism `((i : ι) → A i) ⧸ (powMonoidHom n).range ≃* ((i : ι) → A i ⧸ (powMonoidHom n).range)` and its additive version.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
67/2 |
Mathlib/Algebra/Group/Subgroup/Ker.lean,Mathlib/Algebra/Group/Subgroup/ZPowers/Lemmas.lean,Mathlib/GroupTheory/QuotientGroup/Basic.lean |
3 |
14 |
['MichaelStollBayreuth', 'Vierkantor', 'github-actions'] |
nobody |
2-31291 2 days ago |
2-31420 2 days ago |
3-25678 3 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'] |
nobody |
2-31231 2 days ago |
2-31299 2 days ago |
2-31206 2 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 |
459/0 |
Mathlib.lean,Mathlib/Data/ENNReal/AbsDiff.lean,Mathlib/Probability/ProbabilityMassFunction/TotalVariation.lean |
3 |
6 |
['BoltonBailey', 'EtienneC30', 'github-actions', 'joneugster', 'quangvdao'] |
nobody |
2-27979 2 days ago |
7-25239 7 days ago |
7-25927 7 days |
| 36274 |
JTylM author:JTylM |
feat(Combinatorics/SimpleGraph/Matching): implemented the matchingNumber of a graph |
---
I implemented the matchingNumber as described in the issue and proved some statements including
showing that there exists a matching achieving the matchingNumber.
matchingNumber is increasing under injective maps
matchingNumber is equal under isomorphisms
matchingNumber of a matching is the cardinality of the matching
This is my first PR and i had some trouble with some of the proofs, especially with the proof for matchingNumber.isAttained. So any suggestions on how to make the proofs shorter would be welcome. Also i was not sure about the naming of some of the theorems so i would apprechiate feedback here as well.
|
new-contributor
t-combinatorics
|
357/2 |
Mathlib/Combinatorics/SimpleGraph/Matching.lean |
1 |
6 |
['SnirBroshi', 'SproutSeeds', 'github-actions'] |
nobody |
2-25043 2 days ago |
5-37947 5 days ago |
5-38565 5 days |
| 30112 |
gaetanserre author:gaetanserre |
feat(Probability.Kernel): add representation of kernel as a map of a uniform measure |
Add results about isolation of kernels randomness. In particular, it shows that one
can write a Markov kernel as the map by a deterministic of a uniform measure on `[0, 1]`.
It corresponds to Lemma 4.22 in "[Foundations of Modern Probability](https://link.springer.com/book/10.1007/978-3-030-61871-1)" by Olav Kallenberg, 2021.
---
[](https://gitpod.io/from-referrer/)
|
t-measure-probability
maintainer-merge
|
129/0 |
Mathlib.lean,Mathlib/Probability/Kernel/Representation.lean |
2 |
51 |
['DavidLedvinka', 'EtienneC30', 'RemyDegenne', 'gaetanserre', 'github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
2-24071 2 days ago |
2-27313 2 days ago |
92-14783 92 days |
| 36497 |
eric-wieser author:eric-wieser |
feat: add missing rfl lemmas for WriterT.run |
The `FreeM` example in CSLib that demonstrates an alternate construction of `WriterT` suffers from this API being absent, and results to agressively unfolding everything.
This also adds some missing `.run`s to fix defeq abuse.
---
[](https://gitpod.io/from-referrer/)
|
t-data |
68/16 |
Mathlib/Control/Monad/Writer.lean |
1 |
1 |
['github-actions'] |
nobody |
2-22005 2 days ago |
2-22074 2 days ago |
2-22078 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
|
29/0 |
Mathlib/Analysis/Distribution/ContDiffMapSupportedIn.lean,Mathlib/Analysis/Distribution/Distribution.lean,Mathlib/Analysis/Distribution/TestFunction.lean |
3 |
2 |
['github-actions'] |
nobody |
2-16849 2 days ago |
2-39172 2 days ago |
2-39079 2 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.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
254/0 |
Mathlib.lean,Mathlib/LinearAlgebra/AffineSpace/AffineSubspace/Shift.lean,Mathlib/LinearAlgebra/AffineSpace/Simplex/Basic.lean |
3 |
7 |
['copilot-pull-request-reviewer', 'github-actions', 'mathlib-bors'] |
nobody |
2-15896 2 days ago |
2-16431 2 days ago |
2-16354 2 days |
| 36505 |
eric-wieser author:eric-wieser |
fix: use `MonadExceptOf` instead of `MonadExcept` for `ContT` and `WriterT` |
This matches how `ReaderT` and `StateT` do this in core.
Also adds some missing `rfl` lemmas, and fixes a stray `id` that should be `Id`.
---
[](https://gitpod.io/from-referrer/)
|
t-data |
25/4 |
Mathlib/Control/Monad/Cont.lean,Mathlib/Control/Monad/Writer.lean |
2 |
1 |
['github-actions'] |
nobody |
2-13522 2 days ago |
2-15999 2 days ago |
2-15906 2 days |
| 30352 |
kckennylau author:kckennylau |
feat(RingTheory): Homogeneous localization of tensor product |
Let `𝒜` be a graded `R`-algebra, and `S` be an `R`-algebra. Then `S ⊗[R] 𝒜` is a graded
`S`-algebra with the same grading.
Let `W` be a homogeneous submonoid of `𝒜`. Then `(S⊗[R]𝒜)[(1⊗W)⁻¹]₀ ≅ S ⊗[R] (𝒜[W⁻¹]₀)`.
---
Split from #26061.
- [x] depends on: #30173
- [x] depends on: #30322
- [x] depends on: #30365
- [x] depends on: #36252
Optionally depends on #30379 (graded ring equiv) and #36346 (simp Algebra.algHom), which will save a few lines here, so they are not high priority for this PR.
[](https://gitpod.io/from-referrer/)
|
|
471/22 |
Mathlib.lean,Mathlib/RingTheory/GradedAlgebra/Basic.lean,Mathlib/RingTheory/GradedAlgebra/HomogeneousLocalization.lean,Mathlib/RingTheory/GradedAlgebra/TensorLocalization.lean,Mathlib/RingTheory/Localization/TensorProduct.lean |
5 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot'] |
jsm28 assignee:jsm28 |
2-12050 2 days ago |
156-20477 156 days ago |
0-9 9 seconds |
| 36169 |
SnirBroshi author:SnirBroshi |
feat(Order/ConditionallyCompleteLattice/Indexed): `iSup` of `sup`s vs `sup` of `iSup`s |
`ciSup_sup_eq`/`ciInf_inf_eq` match `CompleteLattice`'s `iSup_sup_eq`/`iInf_inf_eq`, and in a `ConditionallyCompleteLinearOrder` we get an inequality without any bounded assumptions.
`Finset.ciSup_union'` for `ConditionallyCompleteLinearOrderBot` matches `CompleteLattice`'s `Finset.iSup_union`.
---
[](https://gitpod.io/from-referrer/)
|
t-order |
39/0 |
Mathlib/Order/ConditionallyCompleteLattice/Finset.lean,Mathlib/Order/ConditionallyCompleteLattice/Indexed.lean |
2 |
1 |
['github-actions'] |
Vierkantor assignee:Vierkantor |
2-12047 2 days ago |
8-80023 8 days ago |
8-81645 8 days |
| 36174 |
mike1729 author:mike1729 |
feat(Topology/Compactness): add countably compact sets |
This PR introduces the theory of countably compact sets and spaces. The motivation was the Eberlein–Šmulian theorem but of course this theory is of its own interest and there are many more applications.
New definitions:
- `IsCountablyCompact A`: a set `A` is countably compact if every sequence in `A`
has a cluster point in `A`.
- `CountablyCompactSpace E`: the whole space `E` is countably compact.
Main results:
- `IsCountablyCompact.elim_finite_subcover`: finite subcover from any countable open cover.
- `isCountablyCompact_iff_countable_open_cover`: equivalence with the finite-subcover property.
- `IsCompact.IsCountablyCompact`: compact implies countably compact.
- `IsSeqCompact.IsCountablyCompact`: sequentially compact implies countably compact.
- `IsCountablyCompact.isSeqCompact`: countably compact implies sequentially compact
in a first-countable space.
- `isCountablyCompact_iff_infinite_subset_has_accPt`: Bolzano–Weierstrass characterisation
in a T₁ space.
- `IsLindelof.isCompact`: a countably compact Lindelöf set is compact.
- `IsCountablyCompact.image`: continuous images of countably compact sets are countably compact.
- Union stability: binary, `Finset`, `Set.Finite`, and `iUnion` variants.
Co-authored-by: Yongxi Lin @CoolRmal
---
This PR adds `Mathlib.Topology.Compactness.CountablyCompact`, a new file alongside the existing `Compact`, `SeqCompact`, and `Lindelof` files.
The primary definition follows Engelking's *General Topology* (the cluster-point characterisation for sequences), and the equivalence with the finite-subcover characterisation is established immediately.
The immediate motivation for this PR is #35473 (Eberlein–Šmulian theorem), which depends on it. Further PRs will extend the theory of countably compact spaces.
-->
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-topology
|
299/0 |
Mathlib.lean,Mathlib/Topology/ClusterPt.lean,Mathlib/Topology/Compactness/CountablyCompact.lean |
3 |
4 |
['github-actions', 'mike1729', 'plp127'] |
j-loreaux assignee:j-loreaux |
2-12046 2 days ago |
8-68064 8 days ago |
8-67971 8 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 |
2 |
['acmepjz', 'github-actions'] |
dupuisf assignee:dupuisf |
2-12042 2 days ago |
6-2507 6 days ago |
6-2414 6 days |
| 36349 |
SnirBroshi author:SnirBroshi |
feat(LinearAlgebra/Matrix): expand `IsSymm`/`IsHermitian` API |
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
156/14 |
Mathlib/Data/Matrix/Composition.lean,Mathlib/LinearAlgebra/Matrix/ConjTranspose.lean,Mathlib/LinearAlgebra/Matrix/Defs.lean,Mathlib/LinearAlgebra/Matrix/Hermitian.lean,Mathlib/LinearAlgebra/Matrix/Swap.lean,Mathlib/LinearAlgebra/Matrix/Symmetric.lean |
6 |
10 |
['SnirBroshi', 'github-actions', 'themathqueen'] |
joelriou assignee:joelriou |
2-12042 2 days ago |
5-72812 5 days ago |
5-74171 5 days |
| 35513 |
vihdzp author:vihdzp |
refactor: redefine `Order.cof` for a preorder |
... instead of using an unbundled relation. This makes it easier to work with, and avoids some `swap rᶜ` incantations.
There are still a bunch of lemmas that make use of unbundled order relations; these will get fixed in follow-up PRs.
---
- [x] depends on: #35517
- [x] depends on: #35519
[](https://gitpod.io/from-referrer/)
|
t-set-theory
t-order
maintainer-merge
|
222/241 |
Mathlib/CategoryTheory/Presentable/IsCardinalFiltered.lean,Mathlib/Order/Cofinal.lean,Mathlib/SetTheory/Cardinal/Cofinality.lean |
3 |
16 |
['SnirBroshi', 'YaelDillies', 'b-mehta', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
b-mehta assignee:b-mehta |
2-11658 2 days ago |
14-77878 14 days ago |
17-80811 17 days |
| 36510 |
Parcly-Taxel author:Parcly-Taxel |
chore: delete >6 month old deprecated modules |
* Every `deprecated_module` up to and including `2025-09-12`.
* `Mathlib.Deprecated.Estimator` and `Mathlib.Deprecated.MLList.BestFirst` from #29549.
* `Mathlib.Data.Nat.PartENat` from #29231.
* `Mathlib.Deprecated.RingHom` from #33429 – at the time it was removed (see https://github.com/leanprover-community/mathlib4/blob/561ba4ae9408025b2d4c9403116b575b7d2a0205/Mathlib/Deprecated/RingHom.lean) there were only two declarations inside and they both had `@[deprecated (since := "2025-06-09")]`, so there was effectively a `deprecated_module (since := "2025-06-09")` on top. |
file-removed
tech debt
|
0/1606 |
Mathlib.lean,Mathlib/Analysis/NormedSpace/BallAction.lean,Mathlib/Analysis/NormedSpace/DualNumber.lean,Mathlib/Analysis/NormedSpace/FunctionSeries.lean,Mathlib/Analysis/NormedSpace/HomeomorphBall.lean,Mathlib/Analysis/NormedSpace/IndicatorFunction.lean,Mathlib/Analysis/NormedSpace/Int.lean,Mathlib/Analysis/NormedSpace/OperatorNorm/Asymptotics.lean,Mathlib/Analysis/NormedSpace/OperatorNorm/Basic.lean,Mathlib/Analysis/NormedSpace/OperatorNorm/Bilinear.lean,Mathlib/Analysis/NormedSpace/OperatorNorm/Completeness.lean,Mathlib/Analysis/NormedSpace/OperatorNorm/Mul.lean,Mathlib/Analysis/NormedSpace/OperatorNorm/NNNorm.lean,Mathlib/Analysis/NormedSpace/OperatorNorm/NormedSpace.lean,Mathlib/Analysis/NormedSpace/OperatorNorm/Prod.lean,Mathlib/Analysis/NormedSpace/Pointwise.lean,Mathlib/Analysis/NormedSpace/RCLike.lean,Mathlib/Analysis/NormedSpace/Real.lean,Mathlib/Analysis/NormedSpace/SphereNormEquiv.lean,Mathlib/Data/Nat/PartENat.lean,Mathlib/Deprecated/Estimator.lean,Mathlib/Deprecated/MLList/BestFirst.lean,Mathlib/Deprecated/Order.lean,Mathlib/Deprecated/RingHom.lean,Mathlib/RingTheory/Valuation/IntegrallyClosed.lean,Mathlib/Topology/Algebra/Module/StrongDual.lean,MathlibTest/search/BestFirst.lean |
27 |
1 |
['github-actions'] |
nobody |
2-8712 2 days ago |
2-9315 2 days ago |
2-9222 2 days |
| 35906 |
scp020 author:scp020 |
feat(Combinatorics/SimpleGraph/Walks): add Walk.IsChord and Walk.IsChordless |
Add `Walk.IsChord` and `Walk.IsChordless` predicates in a new file `SimpleGraph/Walks/Chords.lean`.
See "chord" in https://en.wikipedia.org/wiki/Glossary_of_graph_theory
Discussion on Zulip:
[Zulip link](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Walk.2EIsChordless.20live.20in.20mathlib.3F/with/575277309)
authored-by: Tianyi Zhao
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
68/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Walks/Chords.lean |
2 |
11 |
['SnirBroshi', 'github-actions', 'scp020'] |
nobody |
2-6232 2 days ago |
10-9114 10 days ago |
11-59772 11 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
|
57/0 |
Mathlib/FieldTheory/Minpoly/Basic.lean,Mathlib/RingTheory/IsAdjoinRoot.lean |
2 |
3 |
['ROTARTSI82', 'github-actions'] |
nobody |
2-5969 2 days ago |
4-13341 4 days ago |
4-13248 4 days |
| 32555 |
ksenono author:ksenono |
feat(Combinatorics/SimpleGraph/Matching): maximum and maximal matchings for Konig's theorem |
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
127/0 |
Mathlib/Combinatorics/SimpleGraph/DegreeSum.lean,Mathlib/Combinatorics/SimpleGraph/Matching.lean |
2 |
30 |
['SnirBroshi', 'SproutSeeds', 'github-actions', 'jcommelin', 'ksenono'] |
awainverse assignee:awainverse |
2-2537 2 days ago |
38-20520 38 days ago |
90-79556 90 days |
| 35878 |
Parcly-Taxel author:Parcly-Taxel |
chore: use `induction` for `Quotient.induction` invocations |
Found through the regex `(refine|apply|exact).*Quotient.induction`. Includes the multiple-argument variants. |
tech debt |
92/101 |
Mathlib/Algebra/GroupWithZero/Associated.lean,Mathlib/Algebra/Lie/Quotient.lean,Mathlib/Algebra/Module/ZLattice/Basic.lean,Mathlib/AlgebraicTopology/SimplexCategory/GeneratorsRelations/Basic.lean,Mathlib/CategoryTheory/Abelian/Pseudoelements.lean,Mathlib/CategoryTheory/Monoidal/Free/Basic.lean,Mathlib/CategoryTheory/Subobject/Basic.lean,Mathlib/Combinatorics/Tiling/Tile.lean,Mathlib/Computability/TuringMachine/Tape.lean,Mathlib/Data/Multiset/Functor.lean,Mathlib/Data/Multiset/Sym.lean,Mathlib/Data/Setoid/Basic.lean,Mathlib/FieldTheory/Fixed.lean,Mathlib/GroupTheory/Perm/Cycle/Concrete.lean,Mathlib/LinearAlgebra/Alternating/DomCoprod.lean,Mathlib/LinearAlgebra/Quotient/Pi.lean,Mathlib/Logic/Equiv/Basic.lean,Mathlib/NumberTheory/Padics/PadicNumbers.lean,Mathlib/NumberTheory/RamificationInertia/Basic.lean,Mathlib/Order/Category/PartOrd.lean,Mathlib/Order/RelIso/Basic.lean,Mathlib/RingTheory/AdicCompletion/Algebra.lean,Mathlib/RingTheory/AdicCompletion/Basic.lean,Mathlib/RingTheory/AdicCompletion/Functoriality.lean,Mathlib/RingTheory/Ideal/Norm/AbsNorm.lean,Mathlib/SetTheory/Cardinal/Cofinality.lean,Mathlib/SetTheory/Ordinal/Arithmetic.lean,Mathlib/Topology/Algebra/InfiniteSum/Module.lean |
28 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
joneugster assignee:joneugster |
2-2393 2 days ago |
2-3121 2 days ago |
12-17064 12 days |
| 36512 |
yuma-mizuno author:yuma-mizuno |
feat(MeasureTheory): continuity from below implies countable additivity |
---
[](https://gitpod.io/from-referrer/)
|
t-measure-probability |
14/0 |
Mathlib/MeasureTheory/Measure/AddContent.lean |
1 |
1 |
['github-actions'] |
nobody |
1-86391 1 day ago |
2-71 1 day ago |
1-86378 1 day |
| 35675 |
Thmoas-Guan author:Thmoas-Guan |
feat(RingTheory/Smooth): some lemma about formally smooth |
This PR mainly formalized the result [[Stacks 031L](https://stacks.math.columbia.edu/tag/031L)]
This is a preliminary of Cohen Structure Theorem.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
257/0 |
Mathlib.lean,Mathlib/RingTheory/Smooth/Quotient.lean,Mathlib/RingTheory/TensorProduct/Quotient.lean |
3 |
14 |
['Thmoas-Guan', 'github-actions', 'jcommelin'] |
jcommelin assignee:jcommelin |
1-84533 1 day ago |
10-49170 10 days ago |
18-43889 18 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'] |
urkud assignee:urkud |
1-83282 1 day ago |
18-3386 18 days ago |
20-77053 20 days |
| 36506 |
BryceT233 author:BryceT233 |
feat(Data/Finsupp): adds various computational lemmas for `Finsupp` |
This PR adds various computational lemmas related to operations of finitely supported functions. Alongside #35329, theses lemmas provide the necessary helpers to construct various equivalences for `MvPowerSeries`.
---
[](https://gitpod.io/from-referrer/)
|
t-data |
62/0 |
Mathlib/Data/Finsupp/Antidiagonal.lean,Mathlib/Data/Finsupp/Basic.lean,Mathlib/Data/Finsupp/Option.lean |
3 |
1 |
['github-actions'] |
nobody |
1-78244 1 day ago |
2-12778 2 days ago |
2-12685 2 days |
| 35979 |
xgenereux author:xgenereux |
chore(RatFunc/AsPolynomial): use Valuation.IsTrivialOn and simplify proofs |
Use the recently added typeclass `Valuation.IsTrivialOn` instead of the explicit hypothesis.
I have taken the opportunity to simplify some proofs with grind.
Co-authored-by: María Inés de Frutos Fernández <[mariaines.dff@gmail.com](mailto:mariaines.dff@gmail.com)>
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
22/27 |
Mathlib/Algebra/Polynomial/AlgebraMap.lean,Mathlib/Algebra/Polynomial/Basic.lean,Mathlib/FieldTheory/RatFunc/AsPolynomial.lean,Mathlib/FieldTheory/RatFunc/Basic.lean,Mathlib/RingTheory/Valuation/Basic.lean |
5 |
9 |
['github-actions', 'mathlib-merge-conflicts', 'vihdzp', 'xgenereux'] |
nobody |
1-77220 1 day ago |
5-41155 5 days ago |
11-17413 11 days |
| 36457 |
joelriou author:joelriou |
feat(Algebra/Category/ModuleCat/Presheaf): the pushforward by a functor is monoidal |
If `F : C ⥤ D` is a functor and `R : Dᵒᵖ ⥤ CommRingCat` is a presheaf of commutative rings, then the pushforward functor from the category of presheaves of modules on `R` to the category of presheaves of modules on `F.op ⋙ R` is monoidal.
---
[](https://gitpod.io/from-referrer/)
|
t-category-theory
t-algebra
maintainer-merge
label:t-algebra$ |
50/0 |
Mathlib.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/Pushforward.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/PushforwardZeroMonoidal.lean |
3 |
5 |
['chrisflav', 'github-actions', 'joelriou'] |
nobody |
1-71095 1 day ago |
1-72933 1 day ago |
2-71204 2 days |
| 36165 |
Parcly-Taxel author:Parcly-Taxel |
chore: deprecate `Nat.strongRec(On)'` |
In favour of Batteries's `Nat.strongRec` for definitions and `Nat.strong_induction_on` for proofs. |
t-data |
34/66 |
Mathlib/Analysis/Analytic/Inverse.lean,Mathlib/Data/Int/GCD.lean,Mathlib/Data/Nat/Factorization/Induction.lean,Mathlib/Data/Nat/Init.lean,Mathlib/Data/Set/Finite/Basic.lean,Mathlib/Data/ZMod/Basic.lean,Mathlib/GroupTheory/SpecificGroups/Cyclic.lean,Mathlib/Topology/EMetricSpace/Paracompact.lean |
8 |
4 |
['JovanGerb', 'MichaelStollBayreuth', 'Parcly-Taxel', 'github-actions'] |
nobody |
1-66082 1 day ago |
9-7588 9 days ago |
9-9610 9 days |
| 36166 |
wwylele author:wwylele |
feat(Data/Nat): formula for cardinal of finsuppAntidiag on Nat |
Co-authored-by: Bingyu Xia
---
[](https://gitpod.io/from-referrer/)
|
maintainer-merge |
82/0 |
Mathlib.lean,Mathlib/Algebra/Order/Antidiag/FinsuppEquiv.lean |
2 |
16 |
['BryceT233', 'copilot-pull-request-reviewer', 'github-actions', 'tb65536', 'wwylele'] |
tb65536 assignee:tb65536 |
1-60439 1 day ago |
2-19155 2 days ago |
7-82105 7 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'] |
nobody |
1-53514 1 day ago |
3-17286 3 days ago |
3-17193 3 days |
| 35400 |
vlad902 author:vlad902 |
feat(SimpleGraph): `IsEdgeReachable` lemmas |
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
maintainer-merge
|
19/0 |
Mathlib/Combinatorics/SimpleGraph/Connectivity/EdgeConnectivity.lean |
1 |
10 |
['SnirBroshi', 'YaelDillies', 'github-actions', 'vlad902'] |
YaelDillies assignee:YaelDillies |
1-53421 1 day ago |
25-57541 25 days ago |
25-57448 25 days |
| 36335 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/LapMatrix): {`adjMatrix`/`degMatrix`/`lapMatrix`} are Hermitian |
Also a small cleanup and golf.
This should let us access the eigenvalues of these matrices, for spectral graph theory.
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
33/19 |
Mathlib/Combinatorics/SimpleGraph/AdjMatrix.lean,Mathlib/Combinatorics/SimpleGraph/LapMatrix.lean |
2 |
2 |
['github-actions', 'themathqueen'] |
nobody |
1-52311 1 day ago |
1-54813 1 day ago |
5-71605 5 days |
| 36447 |
sharky564 author:sharky564 |
feat(Analysis/Topology): Generalize Riesz' theorem to locally compact… |
… T2 topological vector spaces
---
[](https://gitpod.io/from-referrer/)
|
t-analysis
new-contributor
large-import
|
130/67 |
Mathlib/Analysis/Normed/Module/FiniteDimension.lean,Mathlib/Topology/Algebra/Module/FiniteDimension.lean |
2 |
5 |
['CoolRmal', 'github-actions', 'sharky564'] |
nobody |
1-49715 1 day ago |
3-40608 3 days ago |
3-40544 3 days |
| 36535 |
JovanGerb author:JovanGerb |
perf(Rintheory/Ideal/Quotient/HasFiniteQuotients): scope instance |
This PR is an attempt to fix the timeouts in #36395.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
0/4 |
Mathlib/RingTheory/Ideal/Quotient/HasFiniteQuotients.lean |
1 |
3 |
['JovanGerb', 'github-actions', 'leanprover-radar'] |
nobody |
1-45731 1 day ago |
1-48681 1 day ago |
1-48588 1 day |
| 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
|
98/3 |
Mathlib/Algebra/Category/Grp/ForgetCorepresentable.lean,Mathlib/CategoryTheory/Sites/Abelian.lean,Mathlib/CategoryTheory/Sites/SheafCohomology/Basic.lean |
3 |
26 |
['Brian-Nugent', 'adamtopaz', 'dagurtomas', 'github-actions', 'joelriou', 'joneugster', 'mathlib-merge-conflicts'] |
adamtopaz assignee:adamtopaz |
1-45344 1 day ago |
1-63071 1 day ago |
29-58487 29 days |
| 35774 |
astrainfinita author:astrainfinita |
chore: use `IsLUB` `IsGLB` in `ConditionallyCompleteLattice` |
---
[](https://gitpod.io/from-referrer/)
|
t-order |
128/193 |
Mathlib/Algebra/Tropical/Lattice.lean,Mathlib/Data/Int/ConditionallyCompleteOrder.lean,Mathlib/Data/Nat/Lattice.lean,Mathlib/Data/Real/Archimedean.lean,Mathlib/Order/CompleteLatticeIntervals.lean,Mathlib/Order/ConditionallyCompleteLattice/Basic.lean,Mathlib/Order/ConditionallyCompleteLattice/Defs.lean,Mathlib/Order/Copy.lean |
8 |
10 |
['astrainfinita', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
Komyyy assignee:Komyyy |
1-41288 1 day ago |
3-57832 3 days ago |
15-62137 15 days |
| 26770 |
Jun2M author:Jun2M |
feat(Combinatorics/Graph): subgraph relations on `Graph` |
This PR creates a new file `Combinatorics/Graph/Subgraph.lean`. In it, the PR introduces a partial order on graphs by subgraph relation, defines relations `IsInducedSubgraph`, `IsSpanningSubgraph` and `IsClosedSubgraph`.
Co-authored-by: Peter Nelson
---
- [x] depends on: #34783
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
maintainer-merge
|
362/0 |
Mathlib.lean,Mathlib/Combinatorics/Graph/Subgraph.lean |
2 |
81 |
['Jun2M', 'YaelDillies', 'github-actions', 'lauramonk', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot'] |
YaelDillies assignee:YaelDillies |
1-40708 1 day ago |
7-39918 7 days ago |
166-1474 166 days |
| 36316 |
JovanGerb author:JovanGerb |
chore: import `Type*` in `Mathlib.Init` |
The implementation of `Type*` is very short, so I've put its minimal dependencies in the same file, `Mathlib.Tactic.TypeStar`, and imported this in `Mathlib.Init`. This allows us to get rid of many explicit imports of this file, and lets it be available everywhere in mathlib.
---
[](https://gitpod.io/from-referrer/)
|
large-import
maintainer-merge
|
58/87 |
Mathlib/Algebra/Notation.lean,Mathlib/Algebra/Notation/Defs.lean,Mathlib/Algebra/Notation/Lemmas.lean,Mathlib/Control/Functor.lean,Mathlib/Data/Bool/AllAny.lean,Mathlib/Data/Bracket.lean,Mathlib/Data/Int/Cast/Pi.lean,Mathlib/Data/Int/Init.lean,Mathlib/Data/List/Lookmap.lean,Mathlib/Data/List/ModifyLast.lean,Mathlib/Data/List/TFAE.lean,Mathlib/Data/Nat/Init.lean,Mathlib/Data/Num/Basic.lean,Mathlib/Data/Option/Defs.lean,Mathlib/Data/Option/NAry.lean,Mathlib/Data/Ordering/Basic.lean,Mathlib/Data/Prod/PProd.lean,Mathlib/Data/Rat/Init.lean,Mathlib/Data/Tree/Basic.lean,Mathlib/Data/Vector3.lean,Mathlib/Init.lean,Mathlib/Lean/Elab/Term.lean,Mathlib/Logic/ExistsUnique.lean,Mathlib/Logic/Function/Coequalizer.lean,Mathlib/Logic/Function/CompTypeclasses.lean,Mathlib/Logic/Function/Defs.lean,Mathlib/Logic/Function/ULift.lean,Mathlib/Logic/Nonempty.lean,Mathlib/Logic/Nontrivial/Defs.lean,Mathlib/Order/Bounds/Defs.lean,Mathlib/Order/Defs/LinearOrder.lean,Mathlib/Order/Defs/PartialOrder.lean,Mathlib/Order/Notation.lean,Mathlib/Tactic/Basic.lean,Mathlib/Tactic/CategoryTheory/CategoryStar.lean,Mathlib/Tactic/FunProp/Mor.lean,Mathlib/Tactic/GCongr/Core.lean,Mathlib/Tactic/Inhabit.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean,Mathlib/Tactic/MkIffOfInductiveProp.lean,Mathlib/Tactic/TypeStar.lean,MathlibTest/BasicFiles/Init.lean,MathlibTest/BasicFiles/TacticBasic.lean,MathlibTest/ImplicitUniverses.lean |
44 |
4 |
['SnirBroshi', 'github-actions', 'j-loreaux'] |
j-loreaux assignee:j-loreaux |
1-39149 1 day ago |
6-48106 6 days ago |
6-51381 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 |
223/0 |
Mathlib.lean,Mathlib/FieldTheory/Normal/Defs.lean,Mathlib/RingTheory/Ideal/Galois.lean,Mathlib/RingTheory/Invariant/Basic.lean |
4 |
1 |
['github-actions'] |
nobody |
1-37576 1 day ago |
1-37959 1 day ago |
1-37866 1 day |
| 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'] |
nobody |
1-37468 1 day ago |
8-2461 8 days ago |
19-72619 19 days |
| 36097 |
matthewjasper author:matthewjasper |
chore: make psuedoparents of algebraic substructures reducible |
Make functions that take an algebraic substructure and return a sibling class reducible, this matches actual parents and resolves some usage of `set_option backward.isDefEq.respectTransparency false`. For example it ensures that the field instance on `IntermediateField` has a compatible `Semiring` instance to the one from it extending a `Subalgebra`.
Also remove @[simp] from `adjoin_toSubsemiring`, since it prevents other simp lemmas on `adjoin` from applying.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
maintainer-merge
label:t-algebra$ |
23/16 |
Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean,Mathlib/Algebra/Algebra/Subalgebra/Basic.lean,Mathlib/Algebra/Algebra/Subalgebra/Lattice.lean,Mathlib/Algebra/Field/Subfield/Defs.lean,Mathlib/Algebra/Ring/Subring/Defs.lean,Mathlib/Algebra/Ring/Subsemiring/Defs.lean,Mathlib/Algebra/Star/NonUnitalSubalgebra.lean,Mathlib/Algebra/Star/Subalgebra.lean,Mathlib/FieldTheory/IntermediateField/Basic.lean,Mathlib/RingTheory/NonUnitalSubring/Defs.lean,Mathlib/RingTheory/TensorProduct/Basic.lean |
11 |
3 |
['dagurtomas', 'github-actions'] |
dagurtomas assignee:dagurtomas |
1-36175 1 day ago |
9-19345 9 days ago |
9-22601 9 days |
| 35905 |
Jun2M author:Jun2M |
feat(Combinatorics/Graph): Add definitions for small graphs (noEdge, bouquet, banana) |
This pull request adds new constructors and supporting lemmas for special types of graphs in the `Mathlib/Combinatorics/Graph/Basic.lean` file.
It introduces:
* `Graph.noEdge V`: The graph with vertex set V and empty edge set.
* `Graph.bouquet v E`: The graph with vertex set {v} and edge set E, where all edges are loops at v.
* `Graph.banana u v E`: The graph with vertex set {u, v} and edge set E, where all edges connect u and v.
along with various properties and characterizations for these graphs.
Co-authored-by: Peter Nelson [apn.uni@gmail.com](mailto:apn.uni@gmail.com)
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
126/0 |
Mathlib/Combinatorics/Graph/Basic.lean |
1 |
3 |
['Jun2M', 'github-actions', 'lauramonk'] |
nobody |
1-35802 1 day ago |
13-4645 13 days ago |
13-4980 13 days |
| 36285 |
grunweg author:grunweg |
feat: torsion of an affine connection |
We define the torsion tensor of an affine connection, i.e. a covariant derivative on the tangent bundle `TM` of some manifold `M`.
From the path towards the the Levi-Civita connection and Riemannian geometry.
Co-authored-by: Heather Macbeth [25316162+hrmacbeth@users.noreply.github.com](mailto:25316162+hrmacbeth@users.noreply.github.com)
Co-authored-by: Patrick Massot
---
- [x] depends on: #36279
[](https://gitpod.io/from-referrer/)
|
t-differential-geometry |
171/5 |
Mathlib.lean,Mathlib/Geometry/Manifold/VectorBundle/CovariantDerivative/Torsion.lean,Mathlib/Geometry/Manifold/VectorField/LieBracket.lean |
3 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
1-29532 1 day ago |
7-39651 7 days ago |
0-224 3 minutes |
| 36541 |
BGuillemet author:BGuillemet |
feat(CategoryTheory): define internal equivalence relations |
Define internal equivalence relations in any category `C`, as a structure on parallel pairs of morphisms.
Prove that equivalence relations on types are equivalence relations in the category of types.
Prove that kernel pairs are equivalence relations.
Define (universally) effective equivalence relations, and a associated class for categories in which every equivalence relation is effective universal.
Prove that an effective equivalence relation yields a coequalizer diagram, and that the associated projection on the "quotient" of the relation is a regular epimorphism.
---
[](https://gitpod.io/from-referrer/)
|
t-category-theory |
228/0 |
Mathlib.lean,Mathlib/CategoryTheory/EquivalenceRelation.lean,Mathlib/CategoryTheory/Limits/Shapes/RegularMono.lean |
3 |
1 |
['github-actions'] |
b-mehta assignee:b-mehta |
1-27279 1 day ago |
1-27347 1 day ago |
1-28782 1 day |
| 36104 |
LarsenClose author:LarsenClose |
feat(CategoryTheory/Endofunctor/Algebra): add Adámek's initial algebra theorem |
Adds Adámek's initial algebra theorem for endofunctors on categories
with an initial object. Given `F : C ⥤ C` where `C` has an initial
object, if the initial chain `⊥ → F(⊥) → F²(⊥) → ⋯` has a colimit
preserved by `F`, then `F` has an initial algebra whose structure map
is an isomorphism.
New files:
- `InitialChain.lean`: defines `iterateObj F n`, `iterateMap F n`,
and `initialChain F : ℕ ⥤ C` via `Functor.ofSequence`.
- `ChainShift.lean`: constructs `shiftCocone` and `extendCocone`,
proves `shiftCoconeIsColimit` (shifted cocone inherits colimit).
- `Adamek.lean`: main result. Constructs the initial `F`-algebra
`adamek F c hc` and proves `adamek_isInitial`. Convenience API:
`adamekFromInitial`, `adamekStructureIso`, `adamekFixedPoint`.
0 sorry. References Adámek 1974.
--- |
t-category-theory
new-contributor
|
505/0 |
Mathlib.lean,Mathlib/CategoryTheory/Endofunctor/Algebra/Adamek.lean,Mathlib/CategoryTheory/Endofunctor/Algebra/ChainShift.lean,Mathlib/CategoryTheory/Endofunctor/Algebra/InitialChain.lean,docs/references.bib |
5 |
3 |
['dagurtomas', 'github-actions'] |
joelriou assignee:joelriou |
1-27274 1 day ago |
8-83988 8 days ago |
8-84009 8 days |
| 35867 |
edegeltje author:edegeltje |
feat(CategoryTheory/Topos): Define subobject classifier for sheaf of types |
This PR defines `Sheaf.classifier J : Classifier (Sheaf J (Type (max u v))`, which is the last ingredient missing to sheaf categories being elementary topoi.
adapted from:
https://github.com/edegeltje/CwFTT/blob/591d4505390172ae70e1bc97544d293a35cc0b3f/CwFTT/Classifier/Sheaf.lean
---
[](https://gitpod.io/from-referrer/)
|
t-category-theory
maintainer-merge
|
309/37 |
Mathlib.lean,Mathlib/CategoryTheory/Limits/Shapes/IsTerminal.lean,Mathlib/CategoryTheory/Limits/Types/Products.lean,Mathlib/CategoryTheory/Sites/Closed.lean,Mathlib/CategoryTheory/Sites/Sheaf.lean,Mathlib/CategoryTheory/Topos/Sheaf.lean |
6 |
68 |
['chrisflav', 'dagurtomas', 'edegeltje', 'github-actions', 'joelriou', 'mathlib-merge-conflicts', 'mathlib-splicebot', 'robin-carlier'] |
chrisflav assignee:chrisflav |
1-21648 1 day ago |
1-34896 1 day ago |
11-48719 11 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
|
59/3 |
Mathlib/Combinatorics/SimpleGraph/Metric.lean |
1 |
35 |
['Fieldnote-Echo', 'Rida-Hamadani', 'SnirBroshi', 'github-actions', 'lauramonk', 'vlad902'] |
nobody |
1-20934 1 day ago |
3-46053 3 days ago |
3-45960 3 days |
| 36539 |
SnirBroshi author:SnirBroshi |
feat(SetTheory/Ordinal/Basic): the `#s`-th element of `α` is an upper-bound for the set's mex |
This is a translation of `card_typein_min_le_mk` to be in terms of `α`.
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory |
42/5 |
Mathlib/AlgebraicGeometry/Properties.lean,Mathlib/Data/Set/Basic.lean,Mathlib/SetTheory/Ordinal/Basic.lean |
3 |
8 |
['SnirBroshi', 'b-mehta', 'github-actions', 'vihdzp'] |
nobody |
1-20281 1 day ago |
1-20345 1 day ago |
1-26860 1 day |
| 36473 |
AlexeyMilovanov author:AlexeyMilovanov |
feat(Computability.Primrec.List): add primrec proofs for drop, takeWhile, and dropWhile |
This PR adds missing proofs that several standard `List` operations are primitive recursive (`Primrec`).
Specifically, it introduces:
- `List.Primrec.drop`: `List.drop` is primitive recursive (using `nat_rec'`).
- `List.Primrec.takeWhile`: `List.takeWhile` is primitive recursive (using `list_rec`).
- `List.Primrec.dropWhile`: `List.dropWhile` is primitive recursive (using `list_rec`).
- `List.Primrec.length_takeWhile`: The length of `takeWhile` is primitive recursive.
These are basic computability properties for lists that were currently missing from `Mathlib.Computability.Primrec.List`. All proofs use standard combinators and `of_eq`. |
t-computability
new-contributor
|
36/1 |
Mathlib/Computability/Primrec/List.lean,Mathlib/Data/List/TakeDrop.lean |
2 |
9 |
['AlexeyMilovanov', 'Komyyy', 'github-actions'] |
Komyyy assignee:Komyyy |
1-19359 1 day ago |
1-35657 1 day ago |
1-28887 1 day |
| 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 |
25/25 |
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 |
1 |
['github-actions'] |
nobody |
1-16470 1 day ago |
1-17463 1 day ago |
1-17370 1 day |
| 34571 |
xroblot author:xroblot |
feat(CyclotomicField/Galois): the bijection between subfields and subgroups of Dirichlet characters |
This PR adds the first results relating the Galois theory of cyclotomic extensions to Dirichlet characters, following Washington, _Introduction to Cyclotomic Fields_. The main result is the definition of the order-preserving bijection between intermediate fields of `ℚ(ζₙ)/ℚ` and subgroups of the group of Dirichlet characters of level `n`.
---
- [x] depends on: #33878
[](https://gitpod.io/from-referrer/)
|
large-import
t-algebra
label:t-algebra$ |
83/1 |
Mathlib/FieldTheory/Normal/Defs.lean,Mathlib/NumberTheory/NumberField/Cyclotomic/Galois.lean |
2 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
dagurtomas assignee:dagurtomas |
1-12031 1 day ago |
4-51405 4 days ago |
4-53981 4 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, so I left it as a `TODO` in this PR, too)
- 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 |
85/72 |
.github/workflows/add_label_from_diff.yaml,scripts/autolabel.lean |
2 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
jcommelin assignee:jcommelin |
1-12029 1 day ago |
8-1893 8 days ago |
22-64767 22 days |
| 35756 |
mariainesdff author:mariainesdff |
feat(Data/Nat/Choose/Multinomial): add lemmas |
Co-authored-by: @AntoineChambert-Loir.
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
t-data
|
25/0 |
Mathlib/Data/Nat/Choose/Multinomial.lean |
1 |
1 |
['github-actions'] |
joneugster assignee:joneugster |
1-12026 1 day ago |
16-64938 16 days ago |
16-64845 16 days |
| 36086 |
Multramate author:Multramate |
feat(Algebra): add liftEquiv for groups, rings, algebras, and adjoin roots |
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
105/22 |
Mathlib/Algebra/Polynomial/AlgebraMap.lean,Mathlib/Algebra/Polynomial/Bivariate.lean,Mathlib/FieldTheory/Galois/Basic.lean,Mathlib/FieldTheory/Galois/Infinite.lean,Mathlib/FieldTheory/RatFunc/Luroth.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 |
12 |
3 |
['CBirkbeck', 'Multramate', 'github-actions', 'mathlib-merge-conflicts'] |
dagurtomas assignee:dagurtomas |
1-12024 1 day ago |
9-62263 9 days ago |
9-66193 9 days |
| 36114 |
euprunin author:euprunin |
chore: golf proofs |
The goal of this 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):
* `Real.GammaIntegral_convergent`: unchanged 🎉
* `PartENat.lt_find`: unchanged 🎉
* `MvPFunctor.liftR_iff`: unchanged 🎉
* `LinearMap.ortho_smul_right`: unchanged 🎉
* `MeasureTheory.setToFun_nonneg`: unchanged 🎉
* `ProbabilityTheory.Kernel.measurable_lmarginalPartialTraj`: unchanged 🎉
Profiled using `set_option trace.profiler true in`.
This 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/)
|
|
6/32 |
Mathlib/Analysis/SpecialFunctions/Gamma/Basic.lean,Mathlib/Data/Nat/PartENat.lean,Mathlib/Data/PFunctor/Multivariate/Basic.lean,Mathlib/LinearAlgebra/SesquilinearForm/Basic.lean,Mathlib/MeasureTheory/Integral/SetToL1.lean,Mathlib/Probability/Kernel/IonescuTulcea/PartialTraj.lean |
6 |
1 |
['github-actions'] |
dagurtomas assignee:dagurtomas |
1-12024 1 day ago |
9-65578 9 days ago |
9-65485 9 days |
| 36146 |
Multramate author:Multramate |
feat(AlgebraicGeometry/GammaSpecAdjunction): add equivalences for Spec morphisms that commute with algebra maps |
---
[](https://gitpod.io/from-referrer/)
|
t-algebraic-geometry
t-algebra
label:t-algebra$ |
46/2 |
Mathlib/Algebra/Category/CommAlgCat/Basic.lean,Mathlib/AlgebraicGeometry/GammaSpecAdjunction.lean,Mathlib/AlgebraicGeometry/Scheme.lean |
3 |
14 |
['CBirkbeck', 'Multramate', 'erdOne', 'github-actions'] |
dagurtomas assignee:dagurtomas |
1-12023 1 day ago |
7-65336 7 days ago |
9-9383 9 days |
| 36175 |
tb65536 author:tb65536 |
chore(NumberTheory/ArithmeticFunction/Defs): modernize instances |
This PR modernizes the instances in `ArithmeticFunction/Defs` using `where` notation.
---
[](https://gitpod.io/from-referrer/)
|
t-number-theory
t-algebra
label:t-algebra$ |
39/58 |
Mathlib/NumberTheory/ArithmeticFunction/Defs.lean |
1 |
1 |
['github-actions', 'vihdzp'] |
jcommelin assignee:jcommelin |
1-12022 1 day ago |
8-67982 8 days ago |
0-2 2 seconds |
| 36245 |
BryceT233 author:BryceT233 |
feat(RingTheory/LocalRing): introduce algebra map version of `ResidueField.map` |
This PR added `IsLocalHom` instances to `AlgHom` and introduced the algebra map version of `IsLocalRing.ResidueField.map`
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-ring-theory
|
57/0 |
Mathlib/RingTheory/LocalRing/ResidueField/Basic.lean,Mathlib/RingTheory/LocalRing/RingHom/Basic.lean |
2 |
2 |
['github-actions'] |
mattrobball assignee:mattrobball |
1-12020 1 day ago |
7-79968 7 days ago |
7-79972 7 days |
| 36290 |
euprunin author:euprunin |
chore(AlgebraicGeometry): unsqueeze terminal `simp`:s (`simp only […]` to `simp`) |
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.IsClosedImmersion.Spec_iff`: 141 ms before, 108 ms after 🎉
* `AlgebraicGeometry.ProjIsoSpecTopComponent.FromSpec.carrier.denom_notMem`: unchanged 🎉
* `AlgebraicGeometry.Scheme.PartialMap.ext_iff`: unchanged 🎉
Profiled using `set_option trace.profiler true in`.
This 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-algebraic-geometry |
3/3 |
Mathlib/AlgebraicGeometry/Morphisms/ClosedImmersion.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Scheme.lean,Mathlib/AlgebraicGeometry/RationalMap.lean |
3 |
2 |
['github-actions', 'joelriou'] |
alexjbest assignee:alexjbest |
1-12019 1 day ago |
7-33520 7 days ago |
7-33427 7 days |
| 36338 |
harahu author:harahu |
doc(Algebra): fix typos |
Found by `PyCharm`'s code inspection tool.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
documentation
label:t-algebra$ |
30/30 |
Mathlib/Algebra/Algebra/Hom.lean,Mathlib/Algebra/Category/ModuleCat/Ulift.lean,Mathlib/Algebra/FiniteSupport/Basic.lean,Mathlib/Algebra/FiniteSupport/Defs.lean,Mathlib/Algebra/Group/Action/End.lean,Mathlib/Algebra/Group/Hom/Defs.lean,Mathlib/Algebra/Homology/BifunctorShift.lean,Mathlib/Algebra/Homology/CochainComplexPlus.lean,Mathlib/Algebra/Homology/DerivedCategory/Ext/Map.lean,Mathlib/Algebra/Homology/Embedding/ExtendHomotopy.lean,Mathlib/Algebra/Homology/HomologicalBicomplex.lean,Mathlib/Algebra/Homology/HomotopyCategory/HomComplexSingle.lean,Mathlib/Algebra/Homology/HomotopyCategory/Pretriangulated.lean,Mathlib/Algebra/Homology/HomotopyCategory/SingleFunctors.lean,Mathlib/Algebra/Homology/ModelCategory/Lifting.lean,Mathlib/Algebra/Lie/CartanExists.lean,Mathlib/Algebra/Lie/Derivation/Basic.lean,Mathlib/Algebra/Lie/EngelSubalgebra.lean,Mathlib/Algebra/NonAssoc/LieAdmissible/Defs.lean,Mathlib/Algebra/Order/Antidiag/Prod.lean,Mathlib/Algebra/Order/Hom/Monoid.lean,Mathlib/Algebra/Order/SuccPred/TypeTags.lean,Mathlib/Algebra/Polynomial/PartialFractions.lean |
23 |
3 |
['euprunin', 'github-actions', 'harahu', 'mathlib-merge-conflicts', 'plp127'] |
dagurtomas assignee:dagurtomas |
1-12016 1 day ago |
5-40990 5 days ago |
6-17260 6 days |
| 36407 |
j-loreaux author:j-loreaux |
feat: norm of sums of continuous functions whose product is zero |
For continuous functions whose pairwise products are zero, the norm of the sum is the maximum of the norms of the individual functions. This is useful for proving the analogous norm properties for commuting selfadjoint (or normal) elements in a C⋆-algebra.
---
[](https://gitpod.io/from-referrer/)
|
t-topology |
87/0 |
Mathlib/Topology/ContinuousMap/Bounded/Normed.lean,Mathlib/Topology/ContinuousMap/Compact.lean |
2 |
3 |
['github-actions', 'themathqueen'] |
dagurtomas assignee:dagurtomas |
1-12012 1 day ago |
4-19554 4 days ago |
4-35918 4 days |
| 36413 |
JovanGerb author:JovanGerb |
chore(Algebra/Group/InjSurj): clean up instances |
This PR give a bit of speedup by cleaning up some `Function.Injective.` and `Function.Surjective.` instances. The main point is to put the arguments in the correct order in `{ ..., ... with }`, matching the order of the `extends` clause.
---
[](https://gitpod.io/from-referrer/)
|
t-meta |
21/24 |
Mathlib/Algebra/Group/InjSurj.lean |
1 |
4 |
['JovanGerb', 'github-actions', 'leanprover-radar', 'mathlib-bors'] |
dwrensha assignee:dwrensha |
1-12012 1 day ago |
4-33576 4 days ago |
0-6 6 seconds |
| 36471 |
eric-wieser author:eric-wieser |
feat: more API for Function.IsPartialInv |
This also renames some lemmas to enable dot notation.
---
[](https://gitpod.io/from-referrer/)
|
t-logic |
33/22 |
Mathlib/Data/Set/Finite/Basic.lean,Mathlib/Logic/Encodable/Basic.lean,Mathlib/Logic/Function/Basic.lean |
3 |
10 |
['Komyyy', 'eric-wieser', 'github-actions'] |
Komyyy assignee:Komyyy |
1-11960 1 day ago |
1-11971 1 day ago |
2-16248 2 days |
| 35821 |
SnirBroshi author:SnirBroshi |
feat(Order/ConditionallyCompleteLattice): `sInf s ≤ sSup t` for `(s ∩ t).Nonempty` |
---
[](https://gitpod.io/from-referrer/)
|
t-order |
21/4 |
Mathlib/Order/Bounds/Basic.lean,Mathlib/Order/CompleteLattice/Basic.lean,Mathlib/Order/ConditionallyCompleteLattice/Basic.lean |
3 |
3 |
['Komyyy', 'SnirBroshi', 'github-actions'] |
Komyyy assignee:Komyyy |
1-11043 1 day ago |
1-11044 1 day ago |
13-685 13 days |
| 35822 |
SnirBroshi author:SnirBroshi |
feat(Order/ConditionallyCompleteLattice): `sSup (f '' s) ≤ f (sSup s)` |
---
#35260 will add `iSup` versions. (edit: it was merged, and it's only for `[Finite ι]`)
Future work (though I'm not sure if it's possible): `Antitone`, `MonotoneOn`, `AntitoneOn`
[](https://gitpod.io/from-referrer/)
|
t-order |
38/1 |
Mathlib/Order/ConditionallyCompleteLattice/Basic.lean,Mathlib/Order/ConditionallyCompleteLattice/Finset.lean |
2 |
5 |
['SnirBroshi', 'github-actions', 'vihdzp'] |
Komyyy assignee:Komyyy |
1-8544 1 day ago |
15-40475 15 days ago |
15-40382 15 days |
| 36574 |
Jun2M author:Jun2M |
feat(Order/Partition): add refinement order and set partition API |
This PR expands the API for `Partition s` (partitions of an element `s` in a complete lattice, and specifically partitions of a set).
**Main changes:**
* **Order instances**: Introduces a `PartialOrder (Partition s)` instance where partitions are ordered by refinement (`P ≤ Q` if every part of `P` is contained in a part of `Q`). Also adds an `OrderTop` instance where the top partition consists of the single part `s`.
* **Set partition API**: Adds a `Set` section with various useful lemmas for working with partitions of sets.
Co-authored-by: Peter Nelson
---
[](https://gitpod.io/from-referrer/)
|
t-order |
144/13 |
Mathlib/Order/Partition/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
1-7144 1 day ago |
1-7208 1 day ago |
1-8044 1 day |
| 35745 |
khwilson author:khwilson |
feat(Mathlib/Analysis/Asymptotics/Defs): congr lemmas for IsBigO* |
This PR primarily provides two calculational lemmas that are commonly used in bounding functions.
First, it provides `IsBigO*.sum_congr`. This theorem allows the user to bound each term of a (finite) sum individually. This is different than `IsBigO.sum` which requires all terms to be bound by the _same_ function.
Second, it provides `IsBigO*.sum_congr'`. This theorem allows the user to bound the terms of a sum individually _when the length of the sum changes with respect to the running variable_. This is a common setup with certain techniques such as the method of the hyperbola.
Note: This makes the overall length of this file go above 1500 lines. I'm happy to break it up at the request of reviewers, but that's a bigger change to the API.
AI Usage: Looking up various lemma names in Google Gemini.
---
[](https://gitpod.io/from-referrer/)
|
t-analysis
new-contributor
|
72/1 |
Mathlib/Analysis/Asymptotics/Defs.lean |
1 |
16 |
['github-actions', 'j-loreaux', 'khwilson'] |
j-loreaux assignee:j-loreaux |
1-3602 1 day ago |
1-3649 1 day ago |
15-26928 15 days |
| 32672 |
tb65536 author:tb65536 |
feat: haar measures on short exact sequences |
This PR proves that if `1 → A → B → C → 1` is a short exact sequence of topological groups, then Haar measures on `A` and `C` induce a Haar measure on `B`.
The final result of the file is a consequence needed for FLT: If `B → C` is injective on an open set `U`, then `U` has bounded measure.
---
- [x] depends on: #35081
[](https://gitpod.io/from-referrer/)
|
t-measure-probability
t-topology
FLT
|
283/0 |
Mathlib.lean,Mathlib/MeasureTheory/Integral/Bochner/Basic.lean,Mathlib/MeasureTheory/Measure/Haar/Extension.lean |
3 |
41 |
['EtienneC30', 'RemyDegenne', 'github-actions', 'jcommelin', 'kbuzzard', 'mathlib-dependent-issues', 'tb65536'] |
nobody |
1-2024 1 day ago |
1-34769 1 day ago |
67-45462 67 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 |
22 |
['Parcly-Taxel', 'b-mehta', 'eric-wieser', 'github-actions', 'jsm28', 'vihdzp'] |
kmill assignee:kmill |
1-1877 1 day ago |
59-29143 59 days ago |
59-29050 59 days |
| 36538 |
JovanGerb author:JovanGerb |
fix(Tactic/Ring/Common): make instance local |
This PR fixes a diamond that I accidentally introduced with an instance that was meant to be a local instance.
---
[](https://gitpod.io/from-referrer/)
|
t-meta |
3/3 |
Mathlib/Tactic/Ring/Common.lean |
1 |
1 |
['github-actions'] |
nobody |
1-855 1 day ago |
1-45442 1 day ago |
1-47497 1 day |
| 36420 |
JovanGerb author:JovanGerb |
feat(Tactic/FastInstance): use expected type to fill in arguments |
This PR improves `fast_instance%` by letting it use the expected type to fill in arguments. This allows us to then define `inferInstanceAs% A` as a macro for `fast_instance% inferInstanceAs A`.
---
[](https://gitpod.io/from-referrer/)
|
t-meta |
205/107 |
Mathlib/Algebra/Order/Ring/StandardPart.lean,Mathlib/NumberTheory/Padics/WithVal.lean,Mathlib/Order/BooleanAlgebra/Set.lean,Mathlib/Tactic/FastInstance.lean,MathlibTest/DefEqAbuse.lean,MathlibTest/InferInstanceAsPercent.lean,MathlibTest/fast_instance.lean,MathlibTest/slow_instances.lean |
8 |
12 |
['JovanGerb', 'github-actions', 'kim-em', 'leanprover-radar'] |
nobody |
0-85341 23 hours ago |
0-85410 23 hours ago |
4-6310 4 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'] |
nobody |
0-82745 22 hours ago |
0-82796 22 hours ago |
11-20175 11 days |
| 35853 |
vihdzp author:vihdzp |
chore(SetTheory/Ordinal): deprecate more theorems on `succ` |
The idea is that we should simply write `x + 1` instead of `succ x`.
---
- [x] depends on: #35844
[](https://gitpod.io/from-referrer/)
|
t-set-theory |
39/37 |
Mathlib/SetTheory/Cardinal/Cofinality.lean,Mathlib/SetTheory/Cardinal/Ordinal.lean,Mathlib/SetTheory/Ordinal/Arithmetic.lean,Mathlib/SetTheory/Ordinal/Basic.lean,Mathlib/SetTheory/Ordinal/Exponential.lean,Mathlib/SetTheory/Ordinal/FixedPoint.lean,Mathlib/SetTheory/Ordinal/Notation.lean,Mathlib/SetTheory/Ordinal/Principal.lean,Mathlib/SetTheory/Ordinal/Topology.lean |
9 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
0-82690 22 hours ago |
14-65327 14 days ago |
14-66227 14 days |
| 36520 |
tb65536 author:tb65536 |
feat(Analysis/InnterProductSpace/Spectrum): the spectral theorem for compact self-adjoint operators |
This PR proves that the eigenspaces of a compact self-adjoint operator are finite dimensional and have trivial orthogonal complement.
---
[](https://gitpod.io/from-referrer/)
|
t-analysis |
89/4 |
Mathlib/Analysis/InnerProductSpace/Spectrum.lean,Mathlib/Analysis/Normed/Group/Submodule.lean,Mathlib/Topology/Algebra/Module/LinearMap.lean |
3 |
1 |
['github-actions'] |
j-loreaux assignee:j-loreaux |
0-79671 22 hours ago |
0-79725 22 hours ago |
1-67447 1 day |
| 36414 |
alainchmt author:alainchmt |
feat(FieldTheory/Finite): irreducible factors of X^q^n - X have degree dividing n |
Add the theorem that if an irreducible polynomial over a finite field `K` divides `X ^ (Fintype.card K) ^ n - X`, then the degree of the polynomial divides `n`. We also add an auxiliary lemma stating that polynomials of nonzero degree dividing `X ^ (Fintype.card K) - X` have a root in `K`.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
53/0 |
Mathlib/FieldTheory/Finite/Extension.lean,Mathlib/FieldTheory/Finite/GaloisField.lean,Mathlib/FieldTheory/IntermediateField/Adjoin/Basic.lean,Mathlib/FieldTheory/Minpoly/Field.lean |
4 |
9 |
['alainchmt', 'github-actions', 'tb65536'] |
nobody |
0-75870 21 hours ago |
2-43287 2 days ago |
4-18132 4 days |
| 34717 |
CoolRmal author:CoolRmal |
feat: add more APIs for the first derivative test |
The derivative test in Mathlib right now only says whether a point is local maximum. This is hard to use in practice (for example in the [PNT](https://github.com/AlexKontorovich/PrimeNumberTheoremAnd) project) as we sometimes want to show that a point is a maximum on some interval. This PR adds more APIs for the first derivative test to resolve this issue.
Co-authored-by: Louis Liu @Deep0Thinking
---
[](https://gitpod.io/from-referrer/)
|
t-analysis
t-order
|
412/32 |
Mathlib/Analysis/Calculus/DerivativeTest.lean,Mathlib/Topology/Order/OrderClosedExtr.lean |
2 |
4 |
['CoolRmal', 'MichaelStollBayreuth', 'github-actions'] |
nobody |
0-73408 20 hours ago |
39-66704 39 days ago |
0-25 25 seconds |
| 34045 |
smmercuri author:smmercuri |
feat: `algebraMap K L` is uniform continuous with respect to adic topologies, when the ideal `w` of `L` lies above `v` |
- `A` is a Dedekind domain with field of fractions `K`.
- `B` is a Dedekind domain with field of fractions `L`.
- `L` is a field extension of `K`.
- `v` is a height one prime ideal of `A`.
- `w` is a height one prime ideal of `B` lying over `v`.
Then respective valuations are related via the ramification index, and `algebraMap (WithVal (v.valuation K)) (WithVal (w.valuation L))` is uniform continuous.
---
- [x] depends on: #34049
- [x] depends on: #35972
- [x] depends on: #36144
- [x] depends on: #36310
[](https://gitpod.io/from-referrer/)
|
FLT
t-algebra
label:t-algebra$ |
164/4 |
Mathlib.lean,Mathlib/NumberTheory/RamificationInertia/Valuation.lean,Mathlib/RingTheory/DedekindDomain/AdicValuation.lean,Mathlib/RingTheory/Valuation/Discrete/RankOne.lean,Mathlib/RingTheory/Valuation/Extension.lean |
5 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
0-69803 19 hours ago |
1-19524 1 day ago |
3-58515 3 days |
| 36282 |
smmercuri author:smmercuri |
chore(Topology/Algebra/Valued/WithVal): remove `@` lemma |
Prove `Valuation.IsEquiv.uniformContinuous_congr` directly and remove `Valuation.IsEquiv.uniformContinuous` which is not needed.
---
- [x] depends on: #36310
[](https://gitpod.io/from-referrer/)
|
|
18/32 |
Mathlib/Topology/Algebra/Valued/WithVal.lean |
1 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
0-69650 19 hours ago |
1-19641 1 day ago |
1-74535 1 day |
| 35337 |
Thmoas-Guan author:Thmoas-Guan |
feat(RingTheory): some lemma about span rank |
In this PR, we proved that for local ring `(R,m)`, the span rank of `M` is equal to dimension of `M/mM` over `R/m` when `M` is fg.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
large-import
|
189/33 |
Mathlib/Algebra/Module/SpanRank.lean,Mathlib/Algebra/Module/Torsion/Basic.lean,Mathlib/LinearAlgebra/Span/Basic.lean,Mathlib/RingTheory/Ideal/Cotangent.lean,Mathlib/RingTheory/KrullDimension/Regular.lean,Mathlib/SetTheory/Cardinal/ToNat.lean |
6 |
22 |
['Thmoas-Guan', 'chrisflav', 'erdOne', 'github-actions'] |
chrisflav assignee:chrisflav |
0-69644 19 hours ago |
1-51260 1 day ago |
9-31341 9 days |
| 36588 |
harahu author:harahu |
doc(CategoryTheory): fix typos |
Found by `PyCharm`'s code inspection tool.
---
[](https://gitpod.io/from-referrer/)
|
t-category-theory |
11/11 |
Mathlib/CategoryTheory/Adhesive/Basic.lean,Mathlib/CategoryTheory/Adhesive/Subobject.lean,Mathlib/CategoryTheory/Bicategory/Yoneda.lean,Mathlib/CategoryTheory/Monoidal/Cartesian/GrpLimits.lean,Mathlib/CategoryTheory/Preadditive/AdditiveFunctor.lean,Mathlib/CategoryTheory/RegularCategory/Basic.lean,Mathlib/CategoryTheory/Sites/Hypercover/One.lean,Mathlib/CategoryTheory/Sites/SheafOfTypes.lean,Mathlib/CategoryTheory/Triangulated/TStructure/TruncLEGT.lean |
9 |
1 |
['github-actions'] |
nobody |
0-69556 19 hours ago |
0-69637 19 hours ago |
0-69544 19 hours |
| 36317 |
tb65536 author:tb65536 |
feat(NumberTheory/NumberField/Discriminant/Basic): define the root discriminant |
This PR adds the definition of the root discriminant of a number field.
---
[](https://gitpod.io/from-referrer/)
|
t-number-theory
t-algebra
label:t-algebra$ |
14/0 |
Mathlib/NumberTheory/NumberField/Discriminant/Basic.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
mariainesdff assignee:mariainesdff |
0-68379 18 hours ago |
0-68403 18 hours ago |
6-48800 6 days |
| 33731 |
nielsvoss author:nielsvoss |
feat(Analysis/InnerProductSpace): definition of singular values for finite-dimensional inner product spaces |
This PR defines the singular values for linear maps between finite-dimensional inner product spaces.
The API is designed in a way that allows it to be generalized to the approximation numbers, as defined in #32126.
See the discussion on Zulip: https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Singular.20Value.20Decomposition/with/558914024
---
- [x] depends on: #34362
- [x] depends on: #34660
- [x] depends on: #35174
- [x] depends on: #35236
- [x] depends on: #35582
- [x] depends on: #36106
[](https://gitpod.io/from-referrer/)
|
t-analysis
new-contributor
|
216/0 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/SingularValues.lean |
2 |
27 |
['b-mehta', 'dupuisf', 'eric-wieser', 'github-actions', 'j-loreaux', 'mathlib-dependent-issues', 'nielsvoss', 'themathqueen'] |
nobody |
0-66566 18 hours ago |
0-66442 18 hours ago |
0-66661 18 hours |
| 33375 |
kex-y author:kex-y |
feat(Probability): Local and stable properties |
---
Defines local and stable properties which is useful for local martingales.
- [x] depends on: #33371
- [x] depends on: #33374
- [x] depends on: #33372
Co-authored-by: @RemyDegenne
[](https://gitpod.io/from-referrer/)
|
brownian
t-measure-probability
|
392/0 |
Mathlib.lean,Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/Probability/Process/LocalProperty.lean |
3 |
36 |
['EtienneC30', 'github-actions', 'kex-y', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
nobody |
0-65605 18 hours ago |
1-34829 1 day ago |
3-19254 3 days |
| 36470 |
joelriou author:joelriou |
feat(CategoryTheory/Monoidal): the left adjoint of a lax monoidal functor is oplax monoidal |
---
[](https://gitpod.io/from-referrer/)
|
t-category-theory
maintainer-merge
|
79/0 |
Mathlib/CategoryTheory/Monoidal/Functor.lean |
1 |
4 |
['dagurtomas', 'github-actions'] |
nobody |
0-65444 18 hours ago |
0-65510 18 hours ago |
2-56392 2 days |
| 36143 |
EtienneC30 author:EtienneC30 |
feat: multivariate Gaussian distributions |
Define the standard Gaussian distribution over a Euclidean space and multivariate Gaussian distributions over `EuclideanSpace ℝ ι`.
Co-authored-by: @RemyDegenne
---
- [x] depends on: #36179
[](https://gitpod.io/from-referrer/)
|
t-measure-probability
brownian
|
308/2 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/Dual.lean,Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Probability/Distributions/Gaussian/Multivariate.lean |
4 |
8 |
['github-actions', 'mathlib-dependent-issues', 'sgouezel'] |
nobody |
0-64382 17 hours ago |
0-64382 17 hours ago |
8-49973 8 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$ |
83/0 |
Mathlib/Algebra/MvPolynomial/Degrees.lean |
1 |
2 |
['github-actions'] |
dagurtomas assignee:dagurtomas |
0-63529 17 hours ago |
5-5872 5 days ago |
5-5779 5 days |
| 36545 |
yuanyi-350 author:yuanyi-350 |
feat(ProbabilityTheory): Add Kolmogorov's inequality |
- [x] depends on: #36542
ref: https://en.wikipedia.org/wiki/Kolmogorov%27s_inequality
---
[](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 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
0-63370 17 hours ago |
1-33302 1 day ago |
0-1789 29 minutes |
| 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 |
96/0 |
Mathlib.lean,Mathlib/Analysis/CStarAlgebra/Extreme.lean,docs/references.bib |
3 |
4 |
['github-actions', 'j-loreaux', 'mathlib-dependent-issues', 'themathqueen'] |
nobody |
0-62165 17 hours ago |
0-62216 17 hours ago |
2-51883 2 days |
| 36376 |
jessealama author:jessealama |
feat(SimpleGraph): bridge from Perm.IsCycle to IsHamiltonian |
This PR provides `IsHamiltonian.ofPerm`, a bridge from `Equiv.Perm.IsCycle` to `SimpleGraph.IsHamiltonian`: if σ is a permutation that is a single cycle with full support on at least 3 elements, and each step `v → σ v` is an edge of `G`, then `G` is Hamiltonian.
### New definitions and lemmas
**`Mathlib/Combinatorics/SimpleGraph/Walks/Iterate.lean`** (new file):
- `Walk.iterate`: builds a walk of length `n` from `x` to `f^[n] x` for any function `f` with `G.Adj x (f x)` for all `x`
- `Walk.iterate_length`, `Walk.iterate_getVert`, `Walk.iterate_support`, `Walk.iterate_edges`: basic API
**`Mathlib/GroupTheory/Perm/Cycle/Basic.lean`**:
- `IsCycleOn.injOn_pow_apply`: the map `n ↦ (f ^ n) a` is injective on `Finset.range #s`
**`Mathlib/GroupTheory/Perm/Cycle/Concrete.lean`**:
- `Perm.toList_eq_range_map_pow`: expresses `toList` as a range map over powers
**`Mathlib/Combinatorics/SimpleGraph/Hamiltonian.lean`**:
- `edge_ne_of_isCycleOn`: edge distinctness for cycle-on permutations
- `IsHamiltonian.ofPerm`: the main theorem |
large-import |
158/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Hamiltonian.lean,Mathlib/Combinatorics/SimpleGraph/Walks/Iterate.lean,Mathlib/GroupTheory/Perm/Cycle/Basic.lean,Mathlib/GroupTheory/Perm/Cycle/Concrete.lean |
5 |
33 |
['SnirBroshi', 'github-actions', 'jessealama', 'mathlib-merge-conflicts'] |
nobody |
0-61976 17 hours ago |
0-66976 18 hours ago |
3-74988 3 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
|
21/19 |
Mathlib/Tactic/Basic.lean |
1 |
2 |
['github-actions'] |
nobody |
0-60422 16 hours ago |
0-61379 17 hours ago |
0-61286 17 hours |
| 36594 |
Vierkantor author:Vierkantor |
chore(Tactic): rewrite `lift` tactic docstring |
This PR rewrites the docstrings for the `lift` tactic, to make sure they are complete while not getting too long.
The main change, apart from restructuring the bullet points to fit the style guide, is to treat the form `lift e to t with x`, where `e` is any expression, as the "general" form, and the case where `e` is a variable as a specialized form. Although it doesn't match the historical development, I think this is clearer for new users (since explaining `lift` without `with` as a special case can be done with only one line). Similarly, we separate `using` into its own bullet point.
In this docstring I did not include the alternative form `lift e to t with x rfl`, since it is exactly equivalent to `lift e to to with x` as far as I can tell. I did include `lift e to t with x rfl h`, because it is useful for preserving the `using` hypothesis without naming the introduced equality.
---
[](https://gitpod.io/from-referrer/)
|
documentation
t-meta
|
61/33 |
Mathlib/Tactic/Lift.lean |
1 |
1 |
['github-actions'] |
nobody |
0-60398 16 hours ago |
0-60471 16 hours ago |
0-60378 16 hours |
| 36208 |
EtienneC30 author:EtienneC30 |
feat: central limit theorem |
Prove the central limit theorem in dimension 1.
Co-authored-by: @hanwenzhu
---
- [ ] depends on: #36178
[](https://gitpod.io/from-referrer/)
|
t-measure-probability |
163/3 |
Mathlib.lean,Mathlib/Analysis/SpecialFunctions/Complex/LogBounds.lean,Mathlib/MeasureTheory/Measure/CharacteristicFunction/TaylorExpansion.lean,Mathlib/Probability/CentralLimitTheorem.lean,Mathlib/Probability/Moments/Variance.lean,docs/100.yaml,docs/1000.yaml |
7 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
0-56403 15 hours ago |
4-53647 4 days ago |
4-53554 4 days |
| 36088 |
pevogam author:pevogam |
feat: add a LE version of previous div_lt_div_iff_mul_lt_mul theorem |
The following is more useful due to the partial order application of LE in comparison to LT.
Additionally, add specialized cases of equal denominators as simpler syntactic sugar.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
16/0 |
Mathlib/Algebra/Order/Ring/Unbundled/Rat.lean |
1 |
6 |
['dagurtomas', 'github-actions', 'pevogam'] |
dagurtomas assignee:dagurtomas |
0-56325 15 hours ago |
10-19279 10 days ago |
10-19292 10 days |
| 35586 |
farmanb author:farmanb |
feat(CategoryTheory/Abelian/Preradical): introduce and characterize radicals |
Following Stenström, a preradical `Φ` is called radical if it coincides with its self colon. We encode this as the existence of an isomorphism `Φ.colon Φ ≅ Φ`. We then prove a basic characterization of radical preradicals in terms of the vanishing of `Φ.r` on `Φ.quotient`.
---
- [x] depends on: #35585
[](https://gitpod.io/from-referrer/)
|
t-category-theory
new-contributor
|
89/0 |
Mathlib.lean,Mathlib/CategoryTheory/Abelian/Preradical/Radical.lean |
2 |
19 |
['farmanb', 'github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'robin-carlier'] |
nobody |
0-54180 15 hours ago |
0-56967 15 hours ago |
4-29585 4 days |
| 36593 |
joelriou author:joelriou |
feat(Algebra/Homology): first step of a factorization lemma |
This is the first in a series of three PRs towards #35813 which shall 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`). The construction of the intermediate object `K'` is obtained by taking a degreewise eventually constant projective limit of cochain complexes, where the complexes in the projective system are constructed step by step. Each step decomposes further into two lemmas `step₁` and `step₂`. In this PR, we prove `step₁`.
---
[](https://gitpod.io/from-referrer/)
|
t-category-theory
t-algebra
label:t-algebra$ |
248/0 |
Mathlib.lean,Mathlib/Algebra/Homology/Factorizations/CM5a.lean |
2 |
2 |
['github-actions', 'joelriou'] |
nobody |
0-53241 14 hours ago |
0-53302 14 hours ago |
0-53657 14 hours |
| 36064 |
marcelolynch author:marcelolynch |
ci: Push to the cache using OIDC and federated credentials |
This migration replaces static SAS-based cache upload auth with GitHub OIDC + Entra app registrations in Azure.
Concretely, each workflow run gets a GitHub-issued OIDC token, and Azure AD (Entra) exchanges that token for a short-lived access token for Storage. We do this through app registrations configured with federated credentials, so no client secret or SAS needs to be stored for normal operation.
A key design point is identity separation. We use two different app registrations (two app IDs): one for `master` workflows and one for non-master workflows. That lets us enforce different trust and permission boundaries in Azure RBAC, instead of giving one shared credential broad write access to every workflow type.
Note that this separation is not implemented by this change: for now, both identities are still contributing to the same cache.
On the cache client side (Cache/Requests.lean / Cache/Main.lean), auth selection is robust to empty bearer values, and there is migration-safe fallback behavior: if bearer upload fails with auth errors and SAS is available, it retries with SAS. The workflow also supports fallback to MATHLIB_CACHE_SAS when minting fails.
Benefits:
- OIDC/federated credentials remove dependency on a static shared upload secret.
- Tokens are minted just-in-time and short-lived.
- We can enforce least privilege cleanly by using separate app identities for different workflow classes.
- Blast radius is reduced: master and non-master workflows can have different RBAC scopes.
- We keep operational safety during migration by retaining controlled SAS fallback, but SAS is no longer the primary auth path. |
CI |
124/34 |
.github/workflows/bors.yml,.github/workflows/build.yml,.github/workflows/build_fork.yml,.github/workflows/build_template.yml,.github/workflows/ci_dev.yml,Cache/Main.lean,Cache/README.md,Cache/Requests.lean |
8 |
5 |
['github-actions', 'marcelolynch', 'mathlib-merge-conflicts'] |
nobody |
0-52923 14 hours ago |
4-23898 4 days ago |
5-61604 5 days |
| 34209 |
mike1729 author:mike1729 |
feat(Analysis/Normed): Schauder basis definition and characterization via projections |
A Schauder basis is a fundamental concept in functional analysis, providing a way to represent every element of a Banach space as a unique convergent series. This PR adds the core structures, some theorems necessary to work with these bases and a characterization of a Schauder basis using projections.
This PR is based on Chapter 1. from Albiac, F., & Kalton, N. J. (2016). Topics in Banach Space Theory.
This is a first PR in a series of three aiming for Eberlein-Smulyan Theorem. The next one will contain theory of basic sequences and the final one will contain a proof of Eberlein-Smulyan Theorem using basic sequences.
---
[](https://gitpod.io/from-referrer/)
|
t-analysis
new-contributor
|
539/0 |
Mathlib.lean,Mathlib/Analysis/Normed/Module/Bases.lean,docs/references.bib |
3 |
204 |
['Ruben-VandeVelde', 'faenuccio', 'github-actions', 'goliath-klein', 'j-loreaux', 'mike1729', 'sgouezel', 'themathqueen'] |
sgouezel assignee:sgouezel |
0-52182 14 hours ago |
14-44469 14 days ago |
39-908 39 days |
| 35643 |
chrisflav author:chrisflav |
chore(Algebra): make `TensorProduct.equivOfCompatibleSMul` more linear |
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
maintainer-merge
label:t-algebra$ |
64/47 |
Mathlib/LinearAlgebra/TensorProduct/Associator.lean,Mathlib/LinearAlgebra/TensorProduct/Basic.lean,Mathlib/RingTheory/Coalgebra/TensorProduct.lean,Mathlib/RingTheory/LinearDisjoint.lean,Mathlib/RingTheory/Localization/BaseChange.lean,Mathlib/RingTheory/Smooth/Fiber.lean,Mathlib/RingTheory/TensorProduct/Maps.lean,Mathlib/RingTheory/TensorProduct/Nontrivial.lean |
8 |
17 |
['chrisflav', 'github-actions', 'kckennylau', 'robin-carlier'] |
kim-em assignee:kim-em |
0-49358 13 hours ago |
0-54392 15 hours ago |
19-3423 19 days |
| 36425 |
yuma-mizuno author:yuma-mizuno |
fix: prevent stack overflow in `monoidal` tactic |
Fix stack overflow when trying to use the tactic with incomplete expressions.
---
[](https://gitpod.io/from-referrer/)
|
t-category-theory
t-meta
|
48/0 |
Mathlib/Tactic/CategoryTheory/Bicategory/Datatypes.lean,Mathlib/Tactic/CategoryTheory/Monoidal/Datatypes.lean,MathlibTest/CategoryTheory/Bicategory/Basic.lean,MathlibTest/CategoryTheory/Monoidal/Basic.lean |
4 |
4 |
['github-actions', 'robin-carlier', 'yuma-mizuno'] |
nobody |
0-49264 13 hours ago |
0-57400 15 hours ago |
3-24795 3 days |
| 34922 |
vasnesterov author:vasnesterov |
feat(Tactic/ComputeAsymptotics/Multiseries): Multiseries definition and structural lemmas |
Define `Multiseries` and `MultiseriesExpansion` and restate some `Seq` API for `Multiseries`.
---
This is a part of the `compute_asymptotics` tactic (#28291).
[](https://gitpod.io/from-referrer/)
|
t-data
t-meta
maintainer-merge
|
411/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/ComputeAsymptotics/Multiseries/Defs.lean |
3 |
17 |
['Vierkantor', 'github-actions', 'joneugster', 'mathlib-merge-conflicts', 'vasnesterov'] |
Vierkantor and joneugster assignee:Vierkantor assignee:joneugster |
0-48780 13 hours ago |
4-52397 4 days ago |
25-62767 25 days |
| 35680 |
joelriou author:joelriou |
feat(CategoryTheory/Sites): alternative constructor for points |
By definition, given a point of a site `(C, J)`, the fiber of a presheaf `P` is defined as a filtered colimit indexed by the opposite category of the category of elements of the functor from `C` to types that is part of the definition of the point. In this PR, we introduce a constructor for points which allows to provide a functor `p : N ⥤ C` from a cofiltered and initially small instead.
This construction is applied to the construction of the image of a point by a cocontinuous functor.
---
[](https://gitpod.io/from-referrer/)
|
t-category-theory
maintainer-merge
|
337/0 |
Mathlib.lean,Mathlib/CategoryTheory/Sites/Point/Basic.lean,Mathlib/CategoryTheory/Sites/Point/Map.lean,Mathlib/CategoryTheory/Sites/Point/OfIsCofiltered.lean |
4 |
16 |
['bryangingechen', 'github-actions', 'mathlib-merge-conflicts', 'robin-carlier'] |
adamtopaz assignee:adamtopaz |
0-48615 13 hours ago |
0-48655 13 hours ago |
7-50941 7 days |
| 36596 |
harahu author:harahu |
chore(Algebra): 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-algebra label:t-algebra$ |
36/27 |
Mathlib/Algebra/ContinuedFractions/Basic.lean,Mathlib/Algebra/ContinuedFractions/Computation/CorrectnessTerminating.lean,Mathlib/Algebra/ContinuedFractions/Computation/Translations.lean,Mathlib/Algebra/DirectSum/Finsupp.lean,Mathlib/Algebra/FreeAlgebra.lean,Mathlib/Algebra/Group/Conj.lean,Mathlib/Algebra/Homology/ShortComplex/ExactFunctor.lean,Mathlib/Algebra/Module/FinitePresentation.lean,Mathlib/Algebra/Order/Hom/Basic.lean,Mathlib/Algebra/Polynomial/EraseLead.lean,Mathlib/Algebra/Polynomial/Inductions.lean,Mathlib/Algebra/Polynomial/Laurent.lean |
12 |
1 |
['github-actions'] |
nobody |
0-47306 13 hours ago |
unknown |
0-0 0 seconds |
| 36182 |
joelriou author:joelriou |
feat(Algebra/Homology/SpectralObject): homology of the differentials |
---
- [x] depends on: #35374
- [x] depends on: #35375
[](https://gitpod.io/from-referrer/)
|
t-algebra
t-category-theory
maintainer-merge
label:t-algebra$ |
166/0 |
Mathlib.lean,Mathlib/Algebra/Homology/SpectralObject/Homology.lean |
2 |
48 |
['faenuccio', 'github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'robin-carlier', 'smorel394'] |
faenuccio assignee:faenuccio |
0-42847 11 hours ago |
0-42947 11 hours ago |
1-24470 1 day |
| 36197 |
RemyDegenne author:RemyDegenne |
feat: integrability of a convex function of R.N. derivatives |
For `f` a convex continuous real function, if `f ((μ ⊗ₘ κ).rnDeriv (ν ⊗ₘ η))` is `(ν ⊗ₘ η)`-integrable, then `f (μ.rnDeriv ν)` is `ν`-integrable.
---
[](https://gitpod.io/from-referrer/)
|
t-measure-probability
large-import
maintainer-merge
|
146/2 |
Mathlib/Analysis/Convex/Approximation.lean,Mathlib/MeasureTheory/Measure/Decomposition/IntegralRNDeriv.lean,Mathlib/MeasureTheory/Measure/Decomposition/RadonNikodym.lean |
3 |
12 |
['EtienneC30', 'RemyDegenne', 'github-actions'] |
EtienneC30 assignee:EtienneC30 |
0-42462 11 hours ago |
0-66829 18 hours ago |
5-75899 5 days |
| 36597 |
kebekus author:kebekus |
feat: add lemmas on (fin)sums and (fin)products of meromorphic functions |
Add a host of missing lemmas on (fin)sums and (fin)products of meromorphic functions, and weaken assumptions in existing lemmas.
This material is used in [Project VD](https://github.com/kebekus/ProjectVD), formalizing Value Distribution Theory for meromorphic functions on the complex plane.
---
[](https://gitpod.io/from-referrer/)
|
t-analysis |
247/61 |
Mathlib/Analysis/Complex/ValueDistribution/CharacteristicFunction.lean,Mathlib/Analysis/Complex/ValueDistribution/LogCounting/Basic.lean,Mathlib/Analysis/Complex/ValueDistribution/Proximity/Basic.lean,Mathlib/Analysis/Meromorphic/Basic.lean,Mathlib/Analysis/Meromorphic/Divisor.lean,Mathlib/Analysis/Meromorphic/NormalForm.lean,Mathlib/Analysis/Meromorphic/Order.lean,Mathlib/Analysis/Meromorphic/TrailingCoefficient.lean |
8 |
1 |
['github-actions'] |
nobody |
0-42133 11 hours ago |
unknown |
0-0 0 seconds |
| 35800 |
xroblot author:xroblot |
feat(RamificationInertia): decomposition fields and inertia fields are unique (up to isomorphism) |
Add uniqueness (up to isomorphism) of the decomposition and inertia fields.
Also, fixes some typos.
---
- [x] depends on: #35303
- [x] depends on: #35797
[](https://gitpod.io/from-referrer/)
|
t-number-theory
maintainer-merge
|
49/7 |
Mathlib/NumberTheory/RamificationInertia/HilbertTheory.lean |
1 |
16 |
['github-actions', 'joneugster', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'tb65536', 'xroblot'] |
tb65536 assignee:tb65536 |
0-41796 11 hours ago |
2-45044 2 days ago |
7-64867 7 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 |
1 |
['github-actions'] |
nobody |
0-40977 11 hours ago |
0-41059 11 hours ago |
0-40966 11 hours |
| 35632 |
SnirBroshi author:SnirBroshi |
feat(Data/List/TakeDrop): `take`/`drop` + `tail`/`dropLast` almost commute |
---
[Zulip](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/List.2Etail.2FList.2EdropLast.20.2B.20List.2Etake/with/572294698)
[](https://gitpod.io/from-referrer/)
|
t-data |
22/0 |
Mathlib/Data/List/TakeDrop.lean |
1 |
5 |
['SnirBroshi', 'github-actions', 'joneugster'] |
joneugster assignee:joneugster |
0-40166 11 hours ago |
19-82987 19 days ago |
19-83909 19 days |
| 35977 |
jessealama author:jessealama |
feat(Algebra/Homology): add dimension lemmas for homological complex differentials |
Show that `dFrom` and `dTo` in a homological complex vanish when the target or source object is zero, and add `Mathlib.Algebra.Homology.ChainComplex.Dimension` with dimension-related properties for complexes of modules over a division ring over an arbitrary `ComplexShape ι`: zero range from zero objects, finrank equalities between `dFrom`/`dTo` ranges and the underlying differential, inclusion of the range of `dTo` in the kernel of `dFrom`, and a finrank equality for adjacent differentials in ℤ-indexed chain complexes.
Spun off from #29713. |
t-algebra label:t-algebra$ |
103/0 |
Mathlib.lean,Mathlib/Algebra/Homology/ChainComplex/Dimension.lean |
2 |
4 |
['github-actions', 'jessealama', 'joelriou', 'mathlib-bors'] |
joelriou assignee:joelriou |
0-40082 11 hours ago |
11-51143 11 days ago |
11-51088 11 days |
| 36607 |
harahu author:harahu |
chore(AlgebraicTopology): normalize continuation line indentation |
We standardize indentation such that continuation lines now line up with the first line of the item they're continuing. This is enforced by markdown formatters such as `mdformat`.
---
[](https://gitpod.io/from-referrer/)
|
t-algebraic-topology |
4/4 |
Mathlib/AlgebraicTopology/CechNerve.lean,Mathlib/AlgebraicTopology/SimplexCategory/Defs.lean |
2 |
1 |
['github-actions'] |
nobody |
0-39568 10 hours ago |
0-40196 11 hours ago |
0-40103 11 hours |
| 35447 |
themathqueen author:themathqueen |
feat(LinearAlgebra/UnitaryGroup): the transpose and conjugate of a unitary matrix as a unitary matrix |
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
maintainer-merge
label:t-algebra$ |
26/0 |
Mathlib/LinearAlgebra/UnitaryGroup.lean |
1 |
5 |
['github-actions', 'robin-carlier'] |
kim-em assignee:kim-em |
0-39425 10 hours ago |
0-41761 11 hours ago |
24-46429 24 days |
| 36456 |
b-mehta author:b-mehta |
feat(ENat): relate ENat to finset sums and products |
The names and statements are picked to mimic https://leanprover-community.github.io/mathlib4_docs/Mathlib/Data/ENNReal/BigOperators.html.
- [x] depends on: #36454
- [x] depends on: #36452
|
t-data
large-import
|
75/1 |
Mathlib/Data/ENat/BigOperators.lean |
1 |
3 |
['b-mehta', 'github-actions', 'mathlib-dependent-issues'] |
nobody |
0-39346 10 hours ago |
0-39409 10 hours ago |
0-40317 11 hours |
| 34444 |
joelriou author:joelriou |
feat(CategoryTheory): exact functors from the localization w.r.t. a Serre class |
---
- [x] depends on: #35966
- [x] depends on: #35612
- [x] depends on: #34495
- [x] depends on: #34496
- [x] depends on: #34498
[](https://gitpod.io/from-referrer/)
|
t-category-theory
maintainer-merge
|
151/0 |
Mathlib/CategoryTheory/Abelian/SerreClass/Localization.lean,Mathlib/CategoryTheory/Limits/ExactFunctor.lean,Mathlib/CategoryTheory/Localization/Construction.lean,Mathlib/CategoryTheory/Localization/Predicate.lean |
4 |
17 |
['github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'robin-carlier'] |
nobody |
0-37947 10 hours ago |
0-38665 10 hours ago |
0-54371 15 hours |
| 34729 |
vihdzp author:vihdzp |
chore: `no_expose` various `Ordinal` definitions |
These all have convoluted definitions that are better characterized by their API, or (in the case of `Ordinal.ToType`) are defined through choice and have no useful definitional equalities.
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory |
13/9 |
Mathlib/SetTheory/Ordinal/Basic.lean,Mathlib/SetTheory/Ordinal/Exponential.lean |
2 |
3 |
['github-actions', 'leanprover-radar', 'vihdzp'] |
b-mehta assignee:b-mehta |
0-37931 10 hours ago |
39-41802 39 days ago |
39-41854 39 days |
| 33416 |
vihdzp author:vihdzp |
chore(Order/GameAdd): add `elab_as_elim` attributes |
This PR does three things:
- Rename `GameAdd.fix` to the more illustrative `GameAdd.recursion`
- Add `elab_as_elim` attributes on `GameAdd.recursion`
- Deprecate the duplicate `GameAdd.induction`
---
[](https://gitpod.io/from-referrer/)
|
t-order |
22/12 |
Mathlib/Order/GameAdd.lean,Mathlib/SetTheory/ZFC/Ordinal.lean |
2 |
6 |
['github-actions', 'grunweg', 'mathlib-merge-conflicts', 'ocfnash', 'vihdzp'] |
alreadydone assignee:alreadydone |
0-37713 10 hours ago |
0-37761 10 hours ago |
51-18934 51 days |
| 36250 |
xgenereux author:xgenereux |
feat: add `not_linearIndependent_iff` variants |
These are useful because you know that `∀ i ∈ f.support, g i ≠ 0` whereas `not_linearIndependent_iff` only gives you `∃ i ∈ s, g i ≠ 0`.
In a finset language you could state this is `Nonempty s` + `∀ i ∈ s, g i ≠ 0` but I think just using `Finsupp` is better.
Co-authored-by: María Inés de Frutos Fernández <[mariaines.dff@gmail.com](mailto:mariaines.dff@gmail.com)>
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
maintainer-merge
label:t-algebra$ |
8/0 |
Mathlib/LinearAlgebra/LinearIndependent/Defs.lean |
1 |
2 |
['github-actions', 'robin-carlier'] |
kim-em assignee:kim-em |
0-37625 10 hours ago |
7-67279 7 days ago |
7-67186 7 days |
| 36586 |
ldct author:ldct |
feat: improve `fin_cases` on `DihedralGroup` |
Better version of https://github.com/leanprover-community/mathlib4/pull/33504
This PR:
- Renames `fintypeHelper` -> `equivSum` and flips the direction
- Exports `equivSum`
- Generates lemmas via `@[simps]`
- Deprecates `fintypeHelper`
The same motivating example still works; after using `fin_cases <;> dsimp` on a goal about a finite dihedral group, we're left with simple goal states.
```
example (g : DihedralGroup 3) : (g^6 = 1) := by
fin_cases g
<;> dsimp
unsolved goals
case «0»
n : ℕ
⊢ r 0 ^ 6 = 1
case «1»
n : ℕ
⊢ r 1 ^ 6 = 1
case «2»
n : ℕ
⊢ r 2 ^ 6 = 1
case «3»
n : ℕ
⊢ sr 0 ^ 6 = 1
case «4»
n : ℕ
⊢ sr 1 ^ 6 = 1
case «5»
n : ℕ
⊢ sr 2 ^ 6 = 1
```
---
[](https://gitpod.io/from-referrer/)
|
t-group-theory |
14/10 |
Mathlib/GroupTheory/SpecificGroups/Dihedral.lean |
1 |
1 |
['github-actions'] |
Komyyy assignee:Komyyy |
0-37583 10 hours ago |
0-37646 10 hours ago |
0-38044 10 hours |
| 35933 |
urkud author:urkud |
chore(WellFounded): drop unneeded `Set.Nonempty` assumptions |
... in theorems that also assume
that a specific element belongs to the set.
---
[](https://gitpod.io/from-referrer/)
|
|
60/56 |
Archive/Imo/Imo1988Q6.lean,Counterexamples/AharoniKorman.lean,Mathlib/Combinatorics/Quiver/Arborescence.lean,Mathlib/Data/DFinsupp/WellFounded.lean,Mathlib/FieldTheory/Minpoly/Basic.lean,Mathlib/FieldTheory/SeparableClosure.lean,Mathlib/FieldTheory/SeparablyGenerated.lean,Mathlib/Order/Atoms.lean,Mathlib/Order/ConditionallyCompleteLattice/Defs.lean,Mathlib/Order/Cover.lean,Mathlib/Order/InitialSeg.lean,Mathlib/Order/OrderIsoNat.lean,Mathlib/Order/PiLex.lean,Mathlib/Order/SuccPred/Basic.lean,Mathlib/Order/WellFounded.lean,Mathlib/Order/WellFoundedSet.lean,Mathlib/RingTheory/MvPowerSeries/LexOrder.lean,Mathlib/RingTheory/Polynomial/Basic.lean,Mathlib/RingTheory/PrincipalIdealDomain.lean,Mathlib/SetTheory/Cardinal/Cofinality.lean,Mathlib/SetTheory/ZFC/Class.lean,Mathlib/Topology/EMetricSpace/Paracompact.lean |
22 |
9 |
['Parcly-Taxel', 'github-actions', 'mathlib-bors', 'ocfnash', 'urkud', 'vihdzp'] |
dwrensha assignee:dwrensha |
0-37569 10 hours ago |
12-18516 12 days ago |
12-21833 12 days |
| 35865 |
vihdzp author:vihdzp |
chore: review `Cardinal.ord` API |
This PR does the following:
- Mark `Cardinal.ord` as no expose.
- Prove the defining property `gciOrdCard` earlier.
- Deprecate the unused `ord.orderEmbedding` (it simply restates that the function is strictly monotonic).
- Rename `ord_nat` → `ord_natCast`.
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory |
45/39 |
Mathlib/SetTheory/Cardinal/Aleph.lean,Mathlib/SetTheory/Cardinal/Cofinality.lean,Mathlib/SetTheory/Ordinal/Arithmetic.lean,Mathlib/SetTheory/Ordinal/Basic.lean |
4 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
0-36870 10 hours ago |
0-36892 10 hours ago |
10-64382 10 days |
| 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
|
141/23 |
Mathlib/Tactic/GRewrite/Elab.lean |
1 |
13 |
['JovanGerb', 'Vierkantor', 'github-actions'] |
adamtopaz assignee:adamtopaz |
0-36143 10 hours ago |
7-40126 7 days ago |
7-40033 7 days |
| 36599 |
joelriou author:joelriou |
feat(Algebra/Category/ModuleCat): the monoidal adjunction between the extension and the restriction of scalars |
---
Note: there are a few new `erw` in the code, but this is due to issues in the file `Algebra/Category/ModuleCat/ChangeOfRings`. A refactor of this file would be very much welcome, but I am not completely sure how it should be done...
[](https://gitpod.io/from-referrer/)
|
t-category-theory |
178/6 |
Mathlib.lean,Mathlib/Algebra/Category/ModuleCat/ChangeOfRings.lean,Mathlib/Algebra/Category/ModuleCat/Monoidal/Adjunction.lean,Mathlib/CategoryTheory/Monoidal/Braided/Transport.lean,Mathlib/CategoryTheory/Monoidal/Functor.lean |
5 |
1 |
['github-actions'] |
nobody |
0-35303 9 hours ago |
0-35366 9 hours ago |
0-36343 10 hours |
| 36276 |
b-mehta author:b-mehta |
feat(Probability/UniformOn): add uniformOn_pi |
---
[](https://gitpod.io/from-referrer/)
|
t-measure-probability
large-import
maintainer-merge
|
16/1 |
Mathlib/Probability/UniformOn.lean |
1 |
7 |
['EtienneC30', 'b-mehta', 'github-actions'] |
RemyDegenne assignee:RemyDegenne |
0-34602 9 hours ago |
2-28917 2 days ago |
5-16491 5 days |
| 36605 |
martinwintermath author:martinwintermath |
feat(Geometry/Convex/Cone): Add linear span for cones and lemmas about interaction between span and negation |
This PR introduces `linSpan` (linear span) as a short form of `Submodule.span` in the context of cones. This abbreviation allows for shorter, easier to parse lemma statement as well as more descriptive lemma names.
This PR also introduces lemmas about the interaction of cone span, linear span and negation. This demonstrates the usefulness of `linSpan`.
Co-authored-by: Olivia Röhrig, Kilian Rueß
---
[](https://gitpod.io/from-referrer/)
|
|
89/0 |
Mathlib/Algebra/Module/Submodule/Pointwise.lean,Mathlib/Geometry/Convex/Cone/Pointed.lean |
2 |
1 |
['github-actions'] |
nobody |
0-33494 9 hours ago |
0-33415 9 hours ago |
0-34344 9 hours |
| 36429 |
yuma-mizuno author:yuma-mizuno |
feat(CategoryTheory/Bicategory): functor bicategories for lax functors |
This code is largely adapted from the existing implementation of the functor bicategory of oplax functors.
---
[](https://gitpod.io/from-referrer/)
|
t-category-theory |
598/24 |
Mathlib.lean,Mathlib/CategoryTheory/Bicategory/FunctorBicategory/Lax.lean,Mathlib/CategoryTheory/Bicategory/FunctorBicategory/Oplax.lean,Mathlib/CategoryTheory/Bicategory/Modification/Lax.lean,Mathlib/CategoryTheory/Bicategory/Modification/Oplax.lean,Mathlib/CategoryTheory/Bicategory/Modification/Pseudo.lean,Mathlib/CategoryTheory/Bicategory/NaturalTransformation/Lax.lean,Mathlib/CategoryTheory/Bicategory/NaturalTransformation/Oplax.lean |
8 |
10 |
['github-actions', 'robin-carlier', 'yuma-mizuno'] |
nobody |
0-33178 9 hours ago |
0-67289 18 hours ago |
3-2456 3 days |
| 36298 |
ocfnash author:ocfnash |
feat: define bases of semisimple Lie algebras and add API |
---
- [x] depends on: #36297
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
569/0 |
Mathlib.lean,Mathlib/Algebra/Lie/Basis.lean,Mathlib/LinearAlgebra/Basis/Basic.lean |
3 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
0-33166 9 hours ago |
0-67986 18 hours ago |
0-67894 18 hours |
| 35568 |
goliath-klein author:goliath-klein |
refactor(PiTensorProduct/{InjectiveNorm, ProjectiveNorm}): switch NormedSpace instance to `projectiveSeminorm` |
The PR switches the `NormedSpace` instance on `PiTensorProduct`s from `injectiveSeminorm` to `projectiveSeminorm` and updates all follow-up results.
The signature of `norm_eval_le_projectiveSeminorm` is changed to match the one of `norm_eval_le_injectiveSeminorm`.
This is the second 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).
---
- [x] depends on: #35567
This series is the result of splitting up #34137. More discussion there.
Co-authored-by: Davood H. H. Tehrani
[](https://gitpod.io/from-referrer/)
|
new-contributor |
27/29 |
Mathlib/Analysis/Normed/Module/PiTensorProduct/InjectiveSeminorm.lean,Mathlib/Analysis/Normed/Module/PiTensorProduct/ProjectiveSeminorm.lean |
2 |
5 |
['github-actions', 'goliath-klein', 'mathlib-dependent-issues', 'robin-carlier'] |
robin-carlier assignee:robin-carlier |
0-32893 9 hours ago |
0-32893 9 hours ago |
7-38839 7 days |
| 35940 |
MichaelStollBayreuth author:MichaelStollBayreuth |
feat(NumberTheory/Height/MvPolynomial): lower height bounds for images under polynomial maps |
We continue the development of height bounds for polynomial maps. Here we add the lower bound.
---
- [x] depends on: #35927
[](https://gitpod.io/from-referrer/)
|
t-number-theory
t-algebra
label:t-algebra$ |
147/9 |
Mathlib/Algebra/BigOperators/Finprod.lean,Mathlib/NumberTheory/Height/MvPolynomial.lean |
2 |
10 |
['AntoineChambert-Loir', 'MichaelStollBayreuth', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'tb65536'] |
mariainesdff assignee:mariainesdff |
0-31765 8 hours ago |
7-38158 7 days ago |
7-40762 7 days |
| 35946 |
loefflerd author:loefflerd |
feat(NumberTheory/Modular): interior and closure of fundamental domain |
Show that the open and closed fundamental domains for the modular group are related by the interior / closure operations.
---
[](https://gitpod.io/from-referrer/)
|
t-number-theory
maintainer-merge
|
175/7 |
Mathlib/Analysis/Complex/Norm.lean,Mathlib/Analysis/Complex/UpperHalfPlane/Topology.lean,Mathlib/NumberTheory/Modular.lean |
3 |
21 |
['CBirkbeck', 'MichaelStollBayreuth', 'github-actions', 'loefflerd'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
0-31225 8 hours ago |
3-43834 3 days ago |
8-46342 8 days |
| 36615 |
EtienneC30 author:EtienneC30 |
feat: covariance lemmas |
Covariance of variables divided by a constant, expanded versions of covariance of a subtraction.
---
[](https://gitpod.io/from-referrer/)
|
t-measure-probability |
16/0 |
Mathlib/Probability/Moments/Covariance.lean |
1 |
1 |
['github-actions'] |
nobody |
0-30601 8 hours ago |
0-30677 8 hours ago |
0-30584 8 hours |
| 36603 |
themathqueen author:themathqueen |
feat(Analysis/Convex/Strict/Extreme): `extremePoints ℝ (Icc a b) = {a, b}` |
Also provide `StrictConvexSpace ℝ ℝ` instance without needing to invoke the inner product space.
Co-authored-by: Jireh Loreaux
---
[](https://gitpod.io/from-referrer/)
|
t-analysis
easy
|
15/0 |
Mathlib/Analysis/Convex/Extreme.lean,Mathlib/Analysis/Convex/Strict/Extreme.lean,Mathlib/Analysis/Convex/StrictConvexSpace.lean,Mathlib/Analysis/Normed/Group/Real.lean |
4 |
1 |
['github-actions'] |
nobody |
0-30252 8 hours ago |
0-46563 12 hours ago |
0-46470 12 hours |
| 33780 |
ooovi author:ooovi |
feat(Geometry/Convex/Cone): lineality space of pointed cones |
Define the lineality space `PointedCone.lineal` as the submodule `C ⊓ -C`. Prove that it is the largest submodule of the cone, which is sometimes used as an alternative definition.
Co-authored-by: Martin Winter
---
dependency of #33664
- [x] depends on #33761
[](https://gitpod.io/from-referrer/)
|
t-convex-geometry
maintainer-merge
|
36/1 |
Mathlib/Geometry/Convex/Cone/Pointed.lean |
1 |
23 |
['YaelDillies', 'artie2000', 'eric-wieser', 'github-actions', 'martinwintermath', 'mathlib4-merge-conflict-bot', 'ooovi', 'vihdzp'] |
nobody |
0-30219 8 hours ago |
0-30901 8 hours ago |
27-29523 27 days |
| 36204 |
smmercuri author:smmercuri |
feat(NumberTheory/NumberField/InfiniteAdeleRing): norm and product formula for the infinite adele ring |
---
[](https://gitpod.io/from-referrer/)
|
t-number-theory
maintainer-merge
|
25/0 |
Mathlib/NumberTheory/NumberField/InfiniteAdeleRing.lean |
1 |
3 |
['MichaelStollBayreuth', 'github-actions'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
0-29872 8 hours ago |
8-48116 8 days ago |
8-48023 8 days |
| 36577 |
JovanGerb author:JovanGerb |
chore(CategoryTheory/NatIso): use `to_dual` |
This PR uses `to_dual` on the basic theorems about natural isomorphisms.
---
- [ ] depends on: #36576
[](https://gitpod.io/from-referrer/)
|
t-category-theory |
53/38 |
Mathlib/CategoryTheory/Iso.lean,Mathlib/CategoryTheory/NatIso.lean |
2 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
0-29861 8 hours ago |
0-31113 8 hours ago |
0-32266 8 hours |
| 35785 |
Brian-Nugent author:Brian-Nugent |
feat(CategoryTheory/Topology): Add Flasque Sheaves |
This PR defines flasque sheaves on a topological space as sheaves where all restriction morphisms are epimorphisms. The main result of this PR is `TopCat.Sheaf.IsFlasque.epi_of_shortExact` which says a short exact sequence where the first sheaf is flasque remains exact on sections.
---
- [x] depends on: #34267
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-category-theory
|
274/0 |
Mathlib.lean,Mathlib/Topology/Sheaves/AddCommGrpCat.lean,Mathlib/Topology/Sheaves/Flasque.lean,Mathlib/Topology/Sheaves/LocallySurjective.lean,Mathlib/Topology/Sheaves/Presheaf.lean,Mathlib/Topology/Sheaves/SheafCondition/UniqueGluing.lean |
6 |
61 |
['Brian-Nugent', 'dagurtomas', 'github-actions', 'joelriou', 'joneugster', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'smorel394'] |
dagurtomas assignee:dagurtomas |
0-29839 8 hours ago |
1-23945 1 day ago |
6-55923 6 days |
| 36609 |
JovanGerb author:JovanGerb |
chore(Order/Hom/Lattice): clean up `to_dual` use |
This PR cleans up the use of `to_dual` for `LatticeHom` after #36159, avoiding `to_dual existing` where this is not needed.
---
[](https://gitpod.io/from-referrer/)
|
t-order |
13/41 |
Mathlib/Order/Hom/Basic.lean,Mathlib/Order/Hom/Lattice.lean |
2 |
2 |
['github-actions', 'vihdzp'] |
nobody |
0-29341 8 hours ago |
0-29402 8 hours ago |
0-34746 9 hours |
| 36617 |
j-loreaux author:j-loreaux |
feat: add `IsSemitopologicalRing` |
With the recent addition of the class `SeparatelyContinuousMul`, it becomes possible to define `IsSemitopologicalRing` (and a version for semirings). A *semitopological ring* is a ring with jointly continuous addition and separately continuous multiplication (and continuous negation, but this is implied by the other two). Such structures arise quite frequently in functional analysis.
This PR defines these classes and then generalizes a number of things in the library. For example, the topological closures of ring-like structures only need multiplication to be separately continuous (they also only need addition to be separately continuous, but ring-like structures for which addition is separately but not jointly continuous do not generally arise in practice). In addition, this allows us to weaken the conditions of instances pertaining to `ContinuousMap.UniqueHom` and `ContinuousMapZero.UniqueHom` which are used in the continuous functional calculus.
---
[](https://gitpod.io/from-referrer/)
|
t-topology
t-algebra
label:t-algebra$ |
241/102 |
Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Commute.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Continuity.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Instances.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Unique.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/ExpLog/Basic.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/PosPart/Basic.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/Rpow/Basic.lean,Mathlib/Topology/Algebra/Algebra.lean,Mathlib/Topology/Algebra/NonUnitalAlgebra.lean,Mathlib/Topology/Algebra/NonUnitalStarAlgebra.lean,Mathlib/Topology/Algebra/Ring/Basic.lean,Mathlib/Topology/Algebra/StarSubalgebra.lean |
12 |
1 |
['github-actions'] |
nobody |
0-28638 7 hours ago |
0-28709 7 hours ago |
0-28616 7 hours |
| 36392 |
JovanGerb author:JovanGerb |
chore: deprecate `push_neg` |
This PR deprecates `push_neg` in favour of `push Not`. The deprecation message includes an example of how to implement `push_neg` as a macro, in case people want to keep using `push_neg`.
This PR replaces all uses of `push_neg` with `push Not`, or golfs them away using `!` tactics like `by_contra!`.
The doc-string of `push` is updated with some of the information from the `push_neg` doc-string.
---
[](https://gitpod.io/from-referrer/)
|
t-meta |
292/287 |
Archive/Examples/Kuratowski.lean,Archive/Imo/Imo1988Q6.lean,Archive/Imo/Imo2006Q5.lean,Archive/Wiedijk100Theorems/BallotProblem.lean,Archive/Wiedijk100Theorems/FriendshipGraphs.lean,Archive/Wiedijk100Theorems/SumOfPrimeReciprocalsDiverges.lean,Archive/ZagierTwoSquares.lean,Counterexamples/IrrationalPowerOfIrrational.lean,Mathlib/Algebra/BigOperators/Group/Finset/Piecewise.lean,Mathlib/Algebra/BigOperators/GroupWithZero/Finset.lean,Mathlib/Algebra/GCDMonoid/Basic.lean,Mathlib/Algebra/GroupWithZero/Regular.lean,Mathlib/Algebra/Homology/HomologicalComplex.lean,Mathlib/Algebra/MvPolynomial/Basic.lean,Mathlib/Algebra/Order/AbsoluteValue/Basic.lean,Mathlib/Algebra/Order/Antidiag/Nat.lean,Mathlib/Algebra/Order/Archimedean/IndicatorCard.lean,Mathlib/Algebra/Order/Monoid/Defs.lean,Mathlib/Algebra/Order/Rearrangement.lean,Mathlib/Algebra/Polynomial/Div.lean,Mathlib/Algebra/Polynomial/Monic.lean,Mathlib/Algebra/Polynomial/RingDivision.lean,Mathlib/Algebra/Polynomial/Taylor.lean,Mathlib/Algebra/Regular/SMul.lean,Mathlib/Analysis/Analytic/Binomial.lean,Mathlib/Analysis/Analytic/IsolatedZeros.lean,Mathlib/Analysis/Analytic/OfScalars.lean,Mathlib/Analysis/Calculus/Deriv/ZPow.lean,Mathlib/Analysis/Calculus/LagrangeMultipliers.lean,Mathlib/Analysis/Complex/Basic.lean,Mathlib/Analysis/Complex/JensenFormula.lean,Mathlib/Analysis/Complex/ValueDistribution/LogCounting/Asymptotic.lean,Mathlib/Analysis/ConstantSpeed.lean,Mathlib/Analysis/Convex/Integral.lean,Mathlib/Analysis/Convex/Radon.lean,Mathlib/Analysis/Convex/SimplicialComplex/Basic.lean,Mathlib/Analysis/Distribution/ContDiffMapSupportedIn.lean,Mathlib/Analysis/LocallyConvex/Bounded.lean,Mathlib/Analysis/LocallyConvex/SeparatingDual.lean,Mathlib/Analysis/Real/Hyperreal.lean,Mathlib/Analysis/SpecialFunctions/BinaryEntropy.lean,Mathlib/Analysis/SpecialFunctions/Complex/Arg.lean,Mathlib/Analysis/SpecialFunctions/Integrability/LogMeromorphic.lean,Mathlib/Analysis/SpecialFunctions/OrdinaryHypergeometric.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean,Mathlib/Analysis/SpecificLimits/Normed.lean,Mathlib/Combinatorics/Matroid/Circuit.lean,Mathlib/Combinatorics/SimpleGraph/Clique.lean,Mathlib/Combinatorics/SimpleGraph/CompleteMultipartite.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean,Mathlib/Combinatorics/SimpleGraph/Diam.lean,Mathlib/Combinatorics/SimpleGraph/Extremal/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Extremal/Turan.lean,Mathlib/Combinatorics/SimpleGraph/Tutte.lean,Mathlib/Combinatorics/Young/YoungDiagram.lean,Mathlib/Computability/ContextFreeGrammar.lean,Mathlib/Data/EReal/Operations.lean,Mathlib/Data/Nat/Factorization/Defs.lean,Mathlib/Data/Nat/Find.lean,Mathlib/Data/Nat/Nth.lean,Mathlib/Data/Nat/Prime/Basic.lean,Mathlib/Data/Nat/Prime/Defs.lean,Mathlib/Data/PEquiv.lean,Mathlib/Data/Set/Basic.lean,Mathlib/Data/Set/Prod.lean,Mathlib/FieldTheory/Extension.lean,Mathlib/FieldTheory/Finite/Basic.lean,Mathlib/FieldTheory/Galois/Infinite.lean,Mathlib/FieldTheory/PrimitiveElement.lean,Mathlib/Geometry/Manifold/IntegralCurve/ExistUnique.lean,Mathlib/Geometry/Manifold/IsManifold/InteriorBoundary.lean,Mathlib/GroupTheory/Exponent.lean,Mathlib/GroupTheory/Perm/Centralizer.lean,Mathlib/GroupTheory/Perm/List.lean,Mathlib/GroupTheory/Perm/Support.lean,Mathlib/GroupTheory/PushoutI.lean,Mathlib/GroupTheory/SpecificGroups/Alternating.lean,Mathlib/LinearAlgebra/Alternating/Basic.lean,Mathlib/LinearAlgebra/Dimension/Localization.lean,Mathlib/LinearAlgebra/Dimension/RankNullity.lean,Mathlib/LinearAlgebra/Dimension/StrongRankCondition.lean,Mathlib/LinearAlgebra/Dual/Lemmas.lean,Mathlib/LinearAlgebra/Eigenspace/Zero.lean,Mathlib/LinearAlgebra/InvariantBasisNumber.lean,Mathlib/LinearAlgebra/LinearIndependent/Defs.lean,Mathlib/LinearAlgebra/LinearIndependent/Lemmas.lean,Mathlib/LinearAlgebra/Matrix/Determinant/Basic.lean,Mathlib/LinearAlgebra/Matrix/ToLinearEquiv.lean,Mathlib/LinearAlgebra/Multilinear/Basic.lean,Mathlib/LinearAlgebra/Multilinear/DFinsupp.lean,Mathlib/LinearAlgebra/Projectivization/Cardinality.lean,Mathlib/LinearAlgebra/RootSystem/Finite/G2.lean,Mathlib/LinearAlgebra/RootSystem/Reduced.lean,Mathlib/LinearAlgebra/SesquilinearForm/Basic.lean,Mathlib/MeasureTheory/Constructions/BorelSpace/Order.lean,Mathlib/MeasureTheory/Function/AEEqOfLIntegral.lean,Mathlib/MeasureTheory/Function/ConditionalExpectation/Basic.lean,Mathlib/MeasureTheory/Function/Egorov.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Indicator.lean,Mathlib/MeasureTheory/Function/SimpleFuncDense.lean |
170 |
1 |
['github-actions'] |
nobody |
0-28614 7 hours ago |
0-28678 7 hours ago |
4-2806 4 days |
| 30001 |
vihdzp author:vihdzp |
feat: concept generated by set of objects/attributes |
---
- [x] depends on: #29996
[](https://gitpod.io/from-referrer/)
|
t-order |
99/0 |
Mathlib/Order/Concept.lean |
1 |
8 |
['YaelDillies', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'vihdzp'] |
nobody |
0-27851 7 hours ago |
0-32514 9 hours ago |
0-9730 2 hours |
| 36580 |
vihdzp author:vihdzp |
feat: lemmas on ordinal multiplication |
Downstreamed from the CGT repo.
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory |
26/9 |
Mathlib/SetTheory/Ordinal/Arithmetic.lean |
1 |
5 |
['SnirBroshi', 'github-actions'] |
nobody |
0-27346 7 hours ago |
0-27398 7 hours ago |
1-3213 1 day |
| 36584 |
vihdzp author:vihdzp |
feat: lemmas on ordinal `Nat.cast` |
Downstreamed from the CGT repo.
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory |
29/11 |
Mathlib/SetTheory/Cardinal/Ordinal.lean,Mathlib/SetTheory/Ordinal/Arithmetic.lean,Mathlib/SetTheory/Ordinal/Basic.lean |
3 |
2 |
['SnirBroshi', 'github-actions'] |
nobody |
0-27086 7 hours ago |
0-84632 23 hours ago |
0-84592 23 hours |
| 36611 |
AntoineChambert-Loir author:AntoineChambert-Loir |
feat(Data/Nat/Choose/Multinomial): rename Multiset.multinomial |
Rename `Multiset.multinomial` to `Multiset.countPerms`.
See Zulip thread : [#mathlib4 > Multinomial coefficients](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Multinomial.20coefficients/with/576343071)
This will be used in #35830 to allow another, more natural, definition of `Multiset.multinomial`.
---
[](https://gitpod.io/from-referrer/)
|
|
19/20 |
Mathlib/Analysis/Calculus/ContDiff/Bounds.lean,Mathlib/Data/Nat/Choose/Multinomial.lean |
2 |
12 |
['AntoineChambert-Loir', 'github-actions', 'vihdzp'] |
nobody |
0-26128 7 hours ago |
0-35192 9 hours ago |
0-35362 9 hours |
| 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/)
|
|
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'] |
nobody |
0-20836 5 hours ago |
6-61438 6 days ago |
6-61473 6 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)
---
[](https://gitpod.io/from-referrer/)
|
t-measure-probability
new-contributor
|
224/0 |
Mathlib.lean,Mathlib/Algebra/GroupWithZero/Indicator.lean,Mathlib/Data/Set/Pairwise/Basic.lean,Mathlib/MeasureTheory/Measure/MassFunction.lean |
4 |
11 |
['DavidLedvinka', 'github-actions', 'metakunt', 'pfaffelh'] |
kex-y and ocfnash assignee:ocfnash assignee:kex-y |
0-19007 5 hours ago |
11-23216 11 days ago |
53-28869 53 days |
| 36459 |
chrisflav author:chrisflav |
refactor(CategoryTheory/Sites): remove universe parameter from `Functor.IsContinuous` |
The current definition of `Functor.IsContinuous` depends on a universe parameter `t` and says that `F : C ⥤ D` is continuous if precomposing with `F.op` preserves being a sheaf for presheaves with values in `Type t`. We show SGA 4 III 1.5, which says that if `t` is large enough such that both `C` and `D` are `t`-small, then being continuous for `t` implies being continuous for any universe `t'`. Using this, we drop the parameter from the definition and show it implies the old one.
---
- [x] depends on: #36448
- [ ] depends on: #36461
[](https://gitpod.io/from-referrer/)
|
t-category-theory
large-import
|
301/126 |
Mathlib/Algebra/Category/ModuleCat/Sheaf/PullbackContinuous.lean,Mathlib/Algebra/Category/ModuleCat/Sheaf/PullbackFree.lean,Mathlib/Algebra/Category/ModuleCat/Sheaf/PushforwardContinuous.lean,Mathlib/CategoryTheory/Adjunction/Basic.lean,Mathlib/CategoryTheory/ShrinkYoneda.lean,Mathlib/CategoryTheory/Sites/Continuous.lean,Mathlib/CategoryTheory/Sites/CoverPreserving.lean,Mathlib/CategoryTheory/Sites/Equivalence.lean,Mathlib/CategoryTheory/Sites/IsSheafFor.lean,Mathlib/CategoryTheory/Sites/Localization.lean,Mathlib/CategoryTheory/Sites/Point/Comap.lean,Mathlib/CategoryTheory/Sites/Pullback.lean,Mathlib/CategoryTheory/Sites/Sieves.lean,Mathlib/CategoryTheory/Sites/Subcanonical.lean,Mathlib/Topology/Sheaves/SheafCondition/Sites.lean |
15 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
0-16044 4 hours ago |
unknown |
0-0 0 seconds |
| 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 |
0-12029 3 hours ago |
7-47769 7 days ago |
15-5771 15 days |
| 35615 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Maps): lemmas about support |
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
41/0 |
Mathlib/Combinatorics/SimpleGraph/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Maps.lean |
2 |
1 |
['github-actions'] |
YaelDillies assignee:YaelDillies |
0-12028 3 hours ago |
20-16602 20 days ago |
20-16509 20 days |
| 35616 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Copy): `IsContained` and `IsIndContained` are preorders |
---
This makes `calc` work and provides `Std.Refl` and `IsTrans` instances.
`grw` still doesn't work and mixing the two predicates in `calc` (to prove `IsContained`) also doesn't work.
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
20/0 |
Mathlib/Combinatorics/SimpleGraph/Copy.lean |
1 |
1 |
['github-actions'] |
YaelDillies assignee:YaelDillies |
0-12027 3 hours ago |
20-15736 20 days ago |
20-15643 20 days |
| 35762 |
xroblot author:xroblot |
feat(CyclotomicFields/Galois): compute the image of the stabilizer of an unramified prime ideal in `(ℤ/nℤ)ˣ` |
For a cyclotomic field `K = ℚ(ζₙ)` and a prime `p` not dividing `n`, we show that for any prime ideal `P` of `𝓞 K` above `p`, the image of the decomposition group of `P` under the isomorphism `Gal(K/ℚ) ≃* (ℤ/nℤ)ˣ` equals the cyclic subgroup generated by the Frobenius element `[p] ∈ (ℤ/nℤ)ˣ`.
---
- [x] depends on: #35530
[](https://gitpod.io/from-referrer/)
|
large-import
t-algebra
label:t-algebra$ |
115/0 |
Mathlib/FieldTheory/Finite/Extension.lean,Mathlib/NumberTheory/NumberField/Basic.lean,Mathlib/NumberTheory/NumberField/Cyclotomic/Galois.lean,Mathlib/NumberTheory/NumberField/Ideal/Basic.lean,Mathlib/RingTheory/Ideal/Int.lean,Mathlib/RingTheory/Invariant/Basic.lean |
6 |
4 |
['github-actions', 'joneugster', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
dagurtomas assignee:dagurtomas |
0-12026 3 hours ago |
3-57167 3 days ago |
3-65031 3 days |
| 35771 |
euprunin author:euprunin |
chore: golf using `exact` |
The goal of this 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):
* `IsBaseChange.comp`: 132 ms before, 98 ms after 🎉
* `Cardinal.powerlt_aleph0`: unchanged 🎉
* `ONote.fastGrowing_one`: unchanged 🎉
Profiled using `set_option trace.profiler true in`.
This 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/)
|
|
3/11 |
Mathlib/RingTheory/IsTensorProduct.lean,Mathlib/SetTheory/Cardinal/Arithmetic.lean,Mathlib/SetTheory/Ordinal/Notation.lean |
3 |
1 |
['github-actions', 'vihdzp'] |
robin-carlier assignee:robin-carlier |
0-12025 3 hours ago |
16-41584 16 days ago |
16-41491 16 days |
| 36087 |
matthewjasper author:matthewjasper |
chore: fix diamonds for Real/Complex Algebra instances |
Unfold or make `implicit_reducible` some definitions used to define `Algebra ℝ ℂ` . This should allow reducing use of `set_option backward.isDefEq.respectTransparency false`.
---
[](https://gitpod.io/from-referrer/)
|
|
73/49 |
Mathlib/Algebra/Algebra/Defs.lean,Mathlib/Algebra/Algebra/Pi.lean,Mathlib/Algebra/Algebra/Prod.lean,Mathlib/Algebra/Algebra/RestrictScalars.lean,Mathlib/Algebra/Category/ModuleCat/Algebra.lean,Mathlib/Analysis/Calculus/MeanValue.lean,Mathlib/Analysis/Complex/Basic.lean,Mathlib/Analysis/LocallyConvex/SeparatingDual.lean,Mathlib/Analysis/Normed/Module/Basic.lean,Mathlib/Analysis/Normed/Module/HahnBanach.lean,Mathlib/Analysis/RCLike/Lemmas.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/ExpLog/Basic.lean,Mathlib/Data/Complex/Basic.lean,Mathlib/FieldTheory/PurelyInseparable/Basic.lean,Mathlib/FieldTheory/SeparableDegree.lean,Mathlib/LinearAlgebra/Complex/Module.lean,Mathlib/RingTheory/IsTensorProduct.lean,Mathlib/RingTheory/LocalRing/Quotient.lean,Mathlib/RingTheory/TensorProduct/Maps.lean,MathlibTest/instance_diamonds.lean |
20 |
5 |
['github-actions', 'mathlib-merge-conflicts', 'matthewjasper'] |
robin-carlier assignee:robin-carlier |
0-12024 3 hours ago |
3-58731 3 days ago |
10-3929 10 days |
| 36162 |
SnirBroshi author:SnirBroshi |
chore(Data/Finsupp/Defs): make `Finsupp.onFinset` computable |
Delete the `noncomputable section` to let every `def` choose whether it's computable, and replace the use of `Classical.decEq` in `onFinset_support` and `onFinset` with a `[DecidableEq M]` assumption.
---
[Zulip](https://leanprover.zulipchat.com/#narrow/channel/113489-new-members/topic/Finsupp.20noncomputability/with/576412101)
[](https://gitpod.io/from-referrer/)
|
t-data |
43/33 |
Mathlib/Algebra/BigOperators/Finsupp/Basic.lean,Mathlib/Algebra/Polynomial/Derivative.lean,Mathlib/Data/Finsupp/Basic.lean,Mathlib/Data/Finsupp/Defs.lean,Mathlib/Data/Finsupp/ToDFinsupp.lean,Mathlib/Data/Sym/Sym2/Finsupp.lean,Mathlib/FieldTheory/PurelyInseparable/Tower.lean,Mathlib/LinearAlgebra/Finsupp/LinearCombination.lean |
8 |
1 |
['github-actions'] |
joneugster assignee:joneugster |
0-12023 3 hours ago |
9-14313 9 days ago |
9-15963 9 days |
| 36243 |
Hagb author:Hagb |
feat(Data/Finsupp/Order): `{emb,map}Domain` preserve pairwise order |
`embDomain`, and thus also `mapDomain` by an injective map, preserve pairwise order.
---
[](https://gitpod.io/from-referrer/)
|
t-data |
39/0 |
Mathlib/Data/Finsupp/Order.lean |
1 |
1 |
['github-actions'] |
joneugster assignee:joneugster |
0-12022 3 hours ago |
7-85652 7 days ago |
7-85559 7 days |
| 36318 |
grunweg author:grunweg |
feat: delaborators for `MDifferentiable(On)` |
And make a precise list which elaborators are missing delaborators at the moment.
Continuation of #36230.
---
[](https://gitpod.io/from-referrer/)
|
t-differential-geometry
t-meta
|
158/15 |
Mathlib/Geometry/Manifold/Notation.lean,MathlibTest/DifferentialGeometry/Notation/Delaborators.lean,MathlibTest/DifferentialGeometry/Notation/Sphere.lean |
3 |
1 |
['github-actions'] |
ocfnash assignee:ocfnash |
0-12020 3 hours ago |
4-24003 4 days ago |
4-25138 4 days |
| 36319 |
themathqueen author:themathqueen |
feat(Analysis/CStarAlgebra/Unitary): left multiplication by a unitary as a linear isometric equivalence |
Co-authored-by: Jon Bannon <59937998+JonBannon@users.noreply.github.com>
---
[](https://gitpod.io/from-referrer/)
|
t-analysis |
171/0 |
Mathlib.lean,Mathlib/Algebra/Module/Equiv/Basic.lean,Mathlib/Analysis/CStarAlgebra/Unitary/Maps.lean |
3 |
5 |
['github-actions', 'j-loreaux', 'themathqueen'] |
j-loreaux assignee:j-loreaux |
0-12019 3 hours ago |
3-18244 3 days ago |
6-48451 6 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 |
0-12018 3 hours ago |
6-34429 6 days ago |
6-34336 6 days |
| 36347 |
FrankieeW author:FrankieeW |
feat(NumberTheory/QuadraticField): define quadratic number fields as QuadraticAlgebra ℚ d 0 |
Define `Qsqrtd d` as `QuadraticAlgebra ℚ d 0`, representing the quadratic number field `ℚ(√d)`. Prove trace and norm results, show `Qsqrtd d` is a number field and a quadratic extension when `d` is not a perfect square, and prove that `ℚ(√0)` and `ℚ(√1)` are not fields. Include `IsQuadraticField` as a predicate for quadratic extensions of `ℚ`, and bridge lemmas connecting squarefree integer parameters to the non-square condition.
This PR is part of a series upstreaming the [QuadraticNumberFields](https://github.com/FrankieeW/QuadraticNumberFields) project.
[Zulip discussion](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/quadratic.20number.20fields)
---
### PRs
- #36347 （this PR）
- #36387
---
|
t-number-theory
new-contributor
large-import
|
191/0 |
Mathlib.lean,Mathlib/Algebra/QuadraticAlgebra/Defs.lean,Mathlib/Algebra/Squarefree/Basic.lean,Mathlib/NumberTheory/QuadraticField/Basic.lean |
4 |
23 |
['FrankieeW', 'eric-wieser', 'github-actions', 'riccardobrasca', 'tb65536', 'wwylele'] |
tb65536 assignee:tb65536 |
0-12017 3 hours ago |
4-25421 4 days ago |
4-58358 4 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 |
0-12016 3 hours ago |
4-36634 4 days ago |
4-50574 4 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 |
17 |
['DavidLedvinka', 'EtienneC30', 'b-mehta', 'github-actions', 'mathlib-dependent-issues'] |
RemyDegenne assignee:RemyDegenne |
0-12014 3 hours ago |
4-50501 4 days ago |
4-50423 4 days |
| 36379 |
JadAbouHawili author:JadAbouHawili |
doc: Rename Finset API instances in Documentation for clarity |
---
[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
|
3/8 |
Mathlib/Data/Finset/Lattice/Basic.lean |
1 |
4 |
['JadAbouHawili', 'github-actions'] |
joneugster assignee:joneugster |
0-12013 3 hours ago |
5-24157 5 days ago |
5-25715 5 days |
| 36389 |
Thmoas-Guan author:Thmoas-Guan |
feat(RingTheory): add some lemma about quotSMulTop |
Add some lemma about quotSMulTop, especially some usual application of Nakayama lemma in related stuffs.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
26/0 |
Mathlib/RingTheory/QuotSMulTop.lean,Mathlib/RingTheory/Regular/RegularSequence.lean |
2 |
1 |
['github-actions'] |
riccardobrasca assignee:riccardobrasca |
0-12012 3 hours ago |
4-78565 4 days ago |
4-78472 4 days |
| 36393 |
smmercuri author:smmercuri |
chore(NumberTheory/NumberField): move number field completion material to new subdir |
---
The reason for this move is that in a dependent PR #30551 I have some results on the ramification theory of infinite place completions which should really go in `NumberTheory/NumberField/InfinitePlace/Ramification.lean` but there is a circular dependence between `InfinitePlace/Completion.lean` and `InfinitePlace/Ramification.lean` that is difficult to resolve. Also `InfinitePlace/Ramification.lean` is getting quite long. So it seems like the best way to fix it is to create a separate `Completion` subdirectory.
[](https://gitpod.io/from-referrer/)
|
t-number-theory |
706/670 |
Mathlib.lean,Mathlib/NumberTheory/NumberField/Completion/FinitePlace.lean,Mathlib/NumberTheory/NumberField/Completion/InfinitePlace.lean,Mathlib/NumberTheory/NumberField/FinitePlaces.lean,Mathlib/NumberTheory/NumberField/InfiniteAdeleRing.lean,Mathlib/NumberTheory/NumberField/InfinitePlace/Completion.lean,Mathlib/NumberTheory/NumberField/ProductFormula.lean |
7 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
tb65536 assignee:tb65536 |
0-12011 3 hours ago |
3-71744 3 days ago |
0-76011 21 hours |
| 36401 |
JovanGerb author:JovanGerb |
feat(positivity): positivity extension for `a - b` |
This PR adds support in `positivity` for proving things about subtraction. For example, if the goal is `0 < a - b`, and there is a local hypothesis of type `b < a`, then we close the goal.
The motivation is that we want `positivity` to be a flexible tactic. So, when trying to prove `0 < a - b` using a local hypothesis, we should look for the simp normal form of this, which is `b < a`.
---
[](https://gitpod.io/from-referrer/)
|
t-meta |
61/24 |
Mathlib/Analysis/Calculus/Taylor.lean,Mathlib/Analysis/Complex/AbelLimit.lean,Mathlib/Analysis/Complex/BorelCaratheodory.lean,Mathlib/Analysis/Complex/Hadamard.lean,Mathlib/Analysis/Convex/BetweenList.lean,Mathlib/Analysis/SpecialFunctions/Log/Deriv.lean,Mathlib/Analysis/SpecificLimits/FloorPow.lean,Mathlib/Geometry/Manifold/Riemannian/PathELength.lean,Mathlib/Tactic/Positivity/Basic.lean,MathlibTest/positivity.lean |
10 |
4 |
['github-actions', 'hrmacbeth', 'j-loreaux', 'leanprover-radar'] |
dwrensha assignee:dwrensha |
0-12010 3 hours ago |
4-17731 4 days ago |
4-21060 4 days |
| 36415 |
j-loreaux author:j-loreaux |
feat: interactions of the continuous functional calculus with the real and imaginary parts |
---
[](https://gitpod.io/from-referrer/)
|
t-analysis |
180/0 |
Mathlib.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/RealImaginaryPart.lean |
2 |
2 |
['github-actions', 'themathqueen'] |
ADedecker assignee:ADedecker |
0-12009 3 hours ago |
4-317 4 days ago |
4-330 4 days |
| 36423 |
kim-em author:kim-em |
perf: decompress already-cached files concurrently with downloads |
This PR builds on https://github.com/leanprover-community/mathlib4/pull/32987 (pipeline downloads and decompression) and https://github.com/leanprover-community/mathlib4/pull/36367 (fix: decompress already downloaded files).
Previously, already-cached `.ltar` files were only decompressed after all downloads completed, in the final `unpackCache` sweep. This PR starts decompressing them concurrently with downloads by spawning `leantar` as a background task before the download phase begins.
The two decompression paths operate on disjoint file sets (pre-cached vs newly downloaded), so there is no conflict. In the common case where a user has most files cached but a few hundred to download, this overlaps several seconds of decompression with network I/O.
🤖 Prepared with Claude Code |
|
73/26 |
Cache/IO.lean,Cache/Requests.lean |
2 |
1 |
['github-actions'] |
urkud assignee:urkud |
0-12008 3 hours ago |
4-1903 4 days ago |
4-1810 4 days |
| 36435 |
grunweg author:grunweg |
feat: transfer IsTopologicalAddGroup and ContinuousSMul across continuous linear equivalences |
and use this to remove mathematically superfluous typeclass hypotheses in the tensoriality criterion.
Follow-up to #36277/#36432.
---
- [x] depends on: #36432
[](https://gitpod.io/from-referrer/)
|
t-differential-geometry |
67/8 |
Mathlib/Geometry/Manifold/VectorBundle/Tensoriality.lean,Mathlib/Topology/Algebra/Module/TransferInstance.lean |
2 |
6 |
['ADedecker', 'github-actions', 'grunweg', 'mathlib-dependent-issues', 'plp127'] |
PatrickMassot assignee:PatrickMassot |
0-12007 3 hours ago |
3-58054 3 days ago |
3-58623 3 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 |
1 |
['github-actions'] |
sgouezel assignee:sgouezel |
0-12006 3 hours ago |
3-54579 3 days ago |
3-54486 3 days |
| 36441 |
mariainesdff author:mariainesdff |
feat(Data/Finsupp/Indicator): add lemmas |
Co-authored by : @AntoineChambert-Loir
---
[](https://gitpod.io/from-referrer/)
|
t-data |
22/1 |
Mathlib/Data/Finsupp/Indicator.lean |
1 |
1 |
['github-actions'] |
joneugster assignee:joneugster |
0-12005 3 hours ago |
3-48221 3 days ago |
3-48128 3 days |
| 36445 |
ADedecker author:ADedecker |
feat(TestFunction): add `limitCLM`, a variant of `mkCLM` starting from buncled CLMs on D^n_K |
This will make it much more convenient to deduce not only continuity but also linearity from the work done on D^n_K.
This makes it convenient enough to define differentiation (for example) directly as a CLM, hence avoiding the LM/CLM duplication.
---
[](https://gitpod.io/from-referrer/)
|
t-analysis |
34/8 |
Mathlib/Analysis/Distribution/TestFunction.lean |
1 |
1 |
['github-actions'] |
j-loreaux assignee:j-loreaux |
0-12004 3 hours ago |
3-43166 3 days ago |
3-43530 3 days |
| 36618 |
SnirBroshi author:SnirBroshi |
feat(Order/RelClasses): `IsTrans` is redundant in `IsWellOrder` |
---
[](https://gitpod.io/from-referrer/)
|
t-order |
13/14 |
Mathlib/Order/RelClasses.lean,Mathlib/SetTheory/ZFC/Ordinal.lean |
2 |
1 |
['github-actions', 'vihdzp'] |
nobody |
0-11887 3 hours ago |
0-11949 3 hours ago |
0-14959 4 hours |
| 36612 |
JovanGerb author:JovanGerb |
chore(Order/SuccPred/Basic): use `to_dual` more |
When this file was originally tagged with `to_dual`, the attribute was less capable. Now, we can tag almost everything in the file. This PR does the first half of the remaining tagging. The rest can be done in a future PR.
---
[](https://gitpod.io/from-referrer/)
|
t-order |
35/150 |
Mathlib/Order/SuccPred/Basic.lean |
1 |
1 |
['github-actions', 'vihdzp'] |
nobody |
0-11327 3 hours ago |
0-31299 8 hours ago |
0-31206 8 hours |
| 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 |
59/57 |
Mathlib/SetTheory/Ordinal/CantorNormalForm.lean |
1 |
1 |
['github-actions'] |
nobody |
0-11208 3 hours ago |
7-57512 7 days ago |
7-64827 7 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. |
t-number-theory
new-contributor
|
152/0 |
Mathlib.lean,Mathlib/NumberTheory/LSeries/SchwarzReflection.lean |
2 |
2 |
['github-actions'] |
alexjbest assignee:alexjbest |
0-6952 1 hour ago |
3-5429 3 days ago |
3-6199 3 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', 'github-actions', 'vihdzp'] |
nobody |
0-6414 1 hour ago |
0-12007 3 hours ago |
0-11914 3 hours |
| 36091 |
JJYYY-JJY author:JJYYY-JJY |
feat(Analysis.LocallyConvex.Separation): add Eidelheit's separation theorem |
Adds `geometric_hahn_banach_of_interior_nonempty`, formalizing Eidelheit's separation theorem for disjoint convex sets where one has a nonempty interior.
This resolves the longstanding TODO in `Mathlib.Analysis.LocallyConvex.Separation`. The patch also removes the TODO for the topological property `Convex ℝ s → interior (closure s) ⊆ s`, as this is already handled by `Convex.closure_interior_eq_closure_of_nonempty_interior` (imported from `Mathlib.Analysis.Convex.Topology`).
Key implementation details:
* Uses `geometric_hahn_banach_open` to separate `interior A` and `B`.
* Requires `B.Nonempty` to guarantee the separating continuous linear functional is nontrivial (`f ≠ 0`), avoiding the triviality trap where `A` covers the entire space.
* Uses `closure_minimal` to extend the weak inequality from `interior A` to the entirety of `A`.
---
[](https://gitpod.io/from-referrer/)
Zulip discussion: https://leanprover.zulipchat.com/#narrow/channel/116395-maths/topic/Interior.20of.20closure.20for.20convex.20sets/with/577060103 |
t-analysis
new-contributor
|
85/5 |
Mathlib/Analysis/LocallyConvex/Separation.lean |
1 |
29 |
['CoolRmal', 'JJYYY-JJY', 'copilot-pull-request-reviewer', 'faenuccio', 'github-actions', 'wwylele'] |
faenuccio assignee:faenuccio |
0-942 15 minutes ago |
0-38241 10 hours ago |
9-8038 9 days |
| Number |
Author |
Title |
Description |
Labels |
+/- |
Modified files (first 100) |
📝 |
💬 |
All users who commented or reviewed |
Assignee(s) |
Updated |
Last status change |
total time in review |
| 33817 |
FlAmmmmING author:FlAmmmmING |
fix(Combinatorics/Enumerative/Schroder.lean): Fix the definition and theorem of smallSchroder. |
In the previous definition, the small Schröder numbers were defined as
```LaTeX
s_0 = 1, s_1 = 1, s_2 = 1, s_3 = 3...
```
, which does not match the sequence listed in OEIS A006318. Moreover, this definition makes it difficult to correctly write the generating function for the small Schröder numbers. This PR fixes this issue.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-combinatorics
large-import
|
61/39 |
Mathlib/Combinatorics/Enumerative/Schroder.lean |
1 |
19 |
['FlAmmmmING', 'github-actions', 'vihdzp'] |
awainverse assignee:awainverse |
43-11926 1 month ago |
58-1202 58 days ago |
62-52566 62 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'] |
awainverse assignee:awainverse |
43-11923 1 month ago |
51-18298 51 days ago |
51-32308 51 days |
| 34028 |
floor-licker author:floor-licker |
feat(SimpleGraph): add max-flow/min-cut weak duality |
This PR introduces a basic s–t flow setup for undirected SimpleGraphs and proves the standard weak-duality
inequality: for any feasible flow f and any s–t cut S, value f ≤ cutCapacity S.
This is a small, self-contained lemma I extracted while working on larger graph-theoretic formalizations, in particular, results that will ultimately rely on a full max-flow/min-cut theorem. The full MFMC equality/existence statement is not included here. This is the weak-duality direction (∀ f S, value f ≤ cutCapacity S).
|
t-combinatorics
new-contributor
|
169/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/MaxFlowMinCut.lean |
2 |
13 |
['SnirBroshi', 'floor-licker', 'github-actions'] |
kmill assignee:kmill |
42-11933 1 month ago |
55-29622 55 days ago |
55-32740 55 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.
The other direction depends on #33458.
---
[](https://gitpod.io/from-referrer/)
|
t-logic
new-contributor
|
55/0 |
Mathlib/ModelTheory/ElementarySubstructures.lean |
1 |
3 |
['Citronhat', 'NoneMore', 'github-actions'] |
awainverse assignee:awainverse |
41-11884 1 month ago |
69-61505 69 days ago |
69-61412 69 days |
| 32570 |
ksenono author:ksenono |
feat(Combinatorics/SimpleGraph): bipartite subgraphs and vertex-disjoint graphs for Konig's theorem |
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
22/0 |
Mathlib/Combinatorics/SimpleGraph/Bipartite.lean,Mathlib/Combinatorics/SimpleGraph/Subgraph.lean |
2 |
19 |
['SnirBroshi', 'github-actions', 'jcommelin', 'ksenono', 'vlad902'] |
kmill assignee:kmill |
38-21693 1 month ago |
38-21693 38 days ago |
90-57803 90 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'] |
PatrickMassot assignee:PatrickMassot |
37-40799 1 month ago |
37-40994 37 days ago |
46-42584 46 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'] |
eric-wieser and urkud assignee:urkud assignee:eric-wieser |
35-41710 1 month ago |
52-327 52 days ago |
52-8227 52 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'] |
pechersky assignee:pechersky |
33-12003 1 month ago |
37-80739 37 days ago |
37-83610 37 days |
| 26985 |
agjftucker author:agjftucker |
feat(Analysis/Calculus/ImplicitFunction): define implicitFunctionOfProdDomain |
This PR continues the work from #16743.
Original PR: https://github.com/leanprover-community/mathlib4/pull/16743
---
- [x] depends on: #28352
[](https://gitpod.io/from-referrer/) |
t-analysis
new-contributor
|
269/157 |
Mathlib.lean,Mathlib/Analysis/Calculus/Implicit.lean,Mathlib/Analysis/Calculus/ImplicitContDiff.lean,Mathlib/Analysis/Calculus/ImplicitFunction/ProdDomain.lean |
4 |
27 |
['agjftucker', 'github-actions', 'j-loreaux', 'mathlib-bors', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'winstonyin'] |
hrmacbeth assignee:hrmacbeth |
31-73862 1 month ago |
31-73862 31 days ago |
100-5821 100 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 |
59 |
['NoneMore', 'github-actions', 'mathlib4-merge-conflict-bot', 'staroperator'] |
awainverse assignee:awainverse |
31-67898 1 month ago |
63-77618 63 days ago |
91-29789 91 days |
| 34481 |
DAE123456 author:DAE123456 |
feat: Ore's Theorem |
Ore Theorem : Let G be a graph of order n ≥ 3 that satisfies the Ore property. Then G has a Hamilton cycle. |
t-combinatorics
new-contributor
|
3372/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Ore.lean |
2 |
25 |
['DAE123456', 'LLaurance', 'Ruben-VandeVelde', 'YaelDillies', 'github-actions', 'kim-em', 'tb65536', 'vlad902'] |
b-mehta assignee:b-mehta |
31-11849 1 month ago |
39-66864 39 days ago |
43-31885 43 days |
| 34722 |
GrigorenkoPV author:GrigorenkoPV |
feat(Data/Finset/RangeDistance): add |
---
Rebase of https://github.com/leanprover-community/mathlib4/pull/26347
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-data
|
34/0 |
Mathlib.lean,Mathlib/Algebra/Order/Group/Unbundled/Abs.lean,Mathlib/Data/Finset/RangeDistance.lean |
3 |
4 |
['GrigorenkoPV', 'github-actions', 'joneugster', 'plp127'] |
TwoFX assignee:TwoFX |
31-11845 1 month ago |
39-52656 39 days ago |
39-54468 39 days |
| 35122 |
Marygold-Dusk author:Marygold-Dusk |
feat: define C^n submersions |
This PR defines submersions between C^n manifolds. In the infinite-dimensional setting, submersions are defined via local normal forms rather than surjectivity of the mfderiv. A map f is a submersion at x if, in suitable charts around x and f x, it has the form (u, v) ↦ u after identifying the model space with a product.
We prove a few basic properties:
- being a submersion is a local property,
- products of submersions are submersions,
- the set of submersed points is open
Future PRs will prove that submersions are C^n and deduce equivalence with the standard definition in finite dimensions. From the path towards the regular value theorem.
This file was developed under the supervision of Michael Rothgang.
Co-authored-by: Michael Rothgang
---
Most of the design is analogues to submersions.
|
t-differential-geometry
new-contributor
|
596/0 |
Mathlib.lean,Mathlib/Geometry/Manifold/Submersion.lean |
2 |
2 |
['github-actions'] |
grunweg assignee:grunweg |
30-48265 1 month ago |
30-50039 30 days ago |
30-51361 30 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'] |
alreadydone assignee:alreadydone |
28-52283 1 month ago |
28-52349 28 days ago |
41-60118 41 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'] |
pechersky assignee:pechersky |
24-18027 24 days ago |
37-27503 37 days ago |
37-27410 37 days |
| 28546 |
Sfgangloff author:Sfgangloff |
feat(SymbolicDynamics): basic setup of Zd, full shift, cylinders, pat… |
This PR adds a **group-generic** foundation for symbolic dynamics over an arbitrary group `G`, together with convenient specializations for `ℤ` and `ℤ^d`.
Summary of additions:
- **Full shift and shift action**
- `abbrev FullShift (A G) := G → A` (inherits product topology from the Π-type).
- Right shift `shift g x` with convention `(shift g x) h = x (h * g)`.
- **Cylinders and topology**
- `cylinder U x : Set (G → A)` for finite `U : Finset G`.
- Cylinders are open under `[DiscreteTopology A]`; with a finite alphabet they are also closed.
- Equality with dependent products:
`cylinder U x = Set.pi (↑U) (fun i => ({x i} : Set A))`, enabling use of the `Set.pi` API.
- **Patterns, occurrences, and subshifts**
- `Pattern A G` with finite `support : Finset G` and `data : support → A`.
- `Pattern.occursIn p x g` (occurrence at translate `g`) and the expected shift law.
- `forbids F` and `Subshift A G` (closed, shift-invariant subsets).
- `FixedSupport A G U` with an equivalence to `(U → A)` to obtain finiteness.
- **Language on finite shapes and counting**
- `languageOn X U`, `languageCardOn X U`, and `patternCountOn Y U`.
- **Entropy along a shape sequence**
- `limsupAtTop` (as an `sInf` of eventual upper bounds).
- `entropyAlong X F hF := limsup (log (patternCountOn X (F n) + 1) / |F n|)`
for any nonempty finite shapes `F : ℕ → Finset G` (the `+ 1` avoids `log 0`).
- **Specializations**
- `IntShapes`: segments `[-n,n]` on `Multiplicative ℤ`, with `entropy_Z`.
- `ZdShapes`: boxes `[-n,n]^d` on `ℤ^d` (as functions `Fin d → ℤ`), with `entropy_Zd`.
Mathematical remarks:
- The API is **shape-parametric**: entropy is defined along user-provided finite shapes.
- On **amenable** groups, using a **Følner** sequence yields a canonical value (Ornstein–Weiss).
This PR does not assume amenability; the family of shapes is an explicit input.
Motivation:
Provide a clean, reusable base for symbolic dynamics on groups in mathlib.
Future work:
- Add a Følner predicate and prove shape-independence / limit existence on amenable groups.
- Expand the `ℤ`/`ℤ^d` toolkit (alternative shapes, mixing, factors).
- Develop 1D theory and, longer-term, multidimensional SFT results (e.g. along the lines of Hochman–Meyerovitch).
|
t-dynamics
new-contributor
|
746/0 |
Mathlib.lean,Mathlib/Dynamics/SymbolicDynamics/Basic.lean,Mathlib/Tactic/Translate/ToAdditive.lean |
3 |
180 |
['Sfgangloff', 'botbaki-review', 'eric-wieser', 'github-actions', 'kckennylau', 'mathlib4-merge-conflict-bot', 'sgouezel'] |
sgouezel assignee:sgouezel |
24-13496 24 days ago |
25-12794 25 days ago |
128-58571 128 days |
| 35011 |
whocares-abt author:whocares-abt |
feat(Combinatorics/SimpleGraph/Copy): add degree of copy less than original |
add two theorems relating degree of a graph and it's copy |
t-combinatorics
new-contributor
|
17/0 |
Mathlib/Combinatorics/SimpleGraph/Copy.lean |
1 |
12 |
['SnirBroshi', 'github-actions', 'themathqueen', 'vihdzp'] |
nobody |
18-72834 18 days ago |
32-73073 32 days ago |
32-72980 32 days |
| 33257 |
NickAdfor author:NickAdfor |
feat(Combinatorics/SimpleGraph/Bipartite): Odd Cycle Theorem (A Solution to TODO) |
Prove bipartite iff all cycles are even
This PR formalizes the classical graph theory theorem: a graph is bipartite if and only if all its cycles have even length.
Co-authored-by: Nick Adfor
Co-authored-by: Yue Sun
Co-authored-by: Aristotle AI
---
## Main results
- `SimpleGraph.bipartite_iff_all_cycles_even` : the main equivalence theorem
## Key supporting lemmas
- `SimpleGraph.even_length_iff_same_color` : parity lemma for 2-colorings
- `SimpleGraph.even_length_iff_even_bypass_length` : bypass length parity
- `SimpleGraph.even_cycle_length_of_path` : cycle construction lemma
- `SimpleGraph.bypass_eq_nil_of_closed` : closed path properties
## Proof outline
1. For bipartite graphs: use the 2-coloring to show that in a 2-coloring, a walk has even length iff its endpoints have the same color.
2. For cycles (start = end), this forces even length.
3. For the converse: if all cycles are even, construct a 2-coloring using the `two_colorable_iff_forall_loop_even` characterization.
4. Show this coloring is valid using bypass operations and path properties.
## Technical notes
- Uses `SimpleGraph.Walk` for path/cycle representation
- Handles both `IsPath` and `IsCycle` predicates
- Uses bypass operations (`takeUntil`, `dropUntil`, `bypass`) to analyze walks
- Requires `DecidableEq V` for some lemmas
- Uses classical logic for case analysis
## Reviewer notes
- The proof uses induction on walks and case analysis on colorings
- Some lemmas (like `even_length_iff_same_color`) could be extracted to more general locations
- All theorems are in the `SimpleGraph` namespace
- The `bipartite_iff_all_cycles_even` theorem provides the complete characterization |
t-combinatorics
new-contributor
|
164/8 |
Mathlib/Combinatorics/SimpleGraph/Bipartite.lean,Mathlib/Combinatorics/SimpleGraph/ConcreteColorings.lean |
2 |
70 |
['IvanRenison', 'NickAdfor', 'Rida-Hamadani', 'SnirBroshi', 'github-actions', 'kmill', 'mitchell-horner', 'vihdzp', 'vlad902'] |
kmill assignee:kmill |
18-12021 18 days ago |
34-10955 34 days ago |
42-18808 42 days |
| 33985 |
YellPika author:YellPika |
feat(Order/OmegaCompletePartialOrder): `OmegaCompletePartialOrder` instance for `Sum` with basic `ωScottContinuous` lemmas |
This PR adds an `OmegaCompletePartialOrder` instance for `Sum`, along with `ωScottContinuous` lemmas for basic operations (`inl`, `inr`, `elim`). Appropriate lemmas are marked with `@[fun_prop]` so that the `fun_prop` tactic can automatically deduce `ωScottContinuous` proofs for functions involving `Sum`s (e.g. see the proof of `Sum.ωScottContinuous_map`).
---
- [x] depends on: #33941
[](https://gitpod.io/from-referrer/)
|
new-contributor
large-import
t-order
|
191/1 |
Mathlib/Data/Sum/Basic.lean,Mathlib/Data/Sum/Order.lean,Mathlib/Order/OmegaCompletePartialOrder.lean,Mathlib/Order/ScottContinuity.lean |
4 |
20 |
['Vierkantor', 'YellPika', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
bryangingechen assignee:bryangingechen |
17-12001 17 days ago |
28-40164 28 days ago |
38-2323 38 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 |
1 |
['github-actions'] |
thorimur assignee:thorimur |
16-49880 16 days ago |
66-68675 66 days ago |
66-68582 66 days |
| 35402 |
samueloettl author:samueloettl |
feat(Dynamics/BirkhoffSum): birkhoffAverage const |
---
I think this might be useful.
My feeling tells me that 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'] |
urkud assignee:urkud |
16-12023 16 days ago |
19-21697 19 days ago |
25-54892 25 days |
| 33458 |
NoneMore author:NoneMore |
feat(ModelTheory): add lifting for embeddings to languages with constants |
Prepare for a generalized Tarski-Vaught test with a set as input instead of a substructure.
---
[](https://gitpod.io/from-referrer/)
|
t-logic
new-contributor
|
46/0 |
Mathlib/ModelTheory/ElementaryMaps.lean,Mathlib/ModelTheory/LanguageMap.lean |
2 |
7 |
['Citronhat', 'NoneMore', 'fpvandoorn', 'github-actions'] |
fpvandoorn assignee:fpvandoorn |
14-53172 14 days ago |
14-53390 14 days ago |
70-65876 70 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'] |
grunweg assignee:grunweg |
14-43321 14 days ago |
19-31066 19 days ago |
19-31648 19 days |
| 35857 |
AlexeyMilovanov author:AlexeyMilovanov |
feat(Logic.Equiv.BijectiveBase2): add bijective base-2 numeration |
This PR introduces a formalization of the bijective base-2 numeration system.
Unlike standard binary representation, bijective base-2 avoids the "leading zeros" problem, providing a strict mathematical bijection between natural numbers (`ℕ`) and lists of booleans (`List Bool`).
**Main additions:**
* `Equiv.BijectiveBase2.toBits`: Encodes `ℕ` to `List Bool`.
* `Equiv.BijectiveBase2.ofBits`: Decodes `List Bool` to `ℕ`.
* `equivBijectiveBase2`: The formal `ℕ ≃ List Bool` equivalence.
*(Note: This replaces my previously closed PR to avoid the terminology clash between "Dyadic" and dyadic rationals. The namespace and definitions have been updated accordingly).*
*(Note: Used AI to assist with standardizing proof structures).* |
t-logic
new-contributor
|
95/0 |
Mathlib.lean,Mathlib/Logic/Equiv/ListNatBijective.lean |
2 |
4 |
['AlexeyMilovanov', 'SnirBroshi', 'github-actions'] |
nobody |
14-24155 14 days ago |
14-33227 14 days ago |
14-33591 14 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'] |
pechersky assignee:pechersky |
12-51314 12 days ago |
12-51337 12 days ago |
33-26401 33 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 assignee:grunweg |
12-44472 12 days ago |
12-44498 12 days ago |
26-74580 26 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'] |
kim-em assignee:kim-em |
12-42918 12 days ago |
36-46735 36 days ago |
36-46642 36 days |
| 35805 |
adrianmartir author:adrianmartir |
feat(NumberTheory/Divisors): Add `infinite_setOf_divisors_iff` |
This proves that the set of divisors `{ m | m | n }` of a natural number `n` is infinite if and only if `n` is zero. The first proof draft was by @Aristotle-Harmonic.
---
[](https://gitpod.io/from-referrer/)
|
t-number-theory
new-contributor
|
10/0 |
Mathlib/NumberTheory/Divisors.lean |
1 |
5 |
['adrianmartir', 'alexjbest', 'github-actions'] |
alexjbest assignee:alexjbest |
11-66821 11 days ago |
15-64823 15 days ago |
15-64766 15 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'] |
TwoFX assignee:TwoFX |
11-18499 11 days ago |
11-18558 11 days ago |
26-74133 26 days |
| 34621 |
homeowmorphism author:homeowmorphism |
feat(GroupTheory/FreeGroup/Basic): deprecate `FreeGroup Empty ≃ Unit` using `Equiv.ofUnique`, add `Mul` suggestion using `MulEquiv.ofUnique` and add `FreeGroup α ≃* Multiplicative ℤ` |
feat(GroupTheory/FreeGroup/Basic): deprecate `FreeGroup Empty ≃ Unit` using `Equiv.ofUnique`, add `Mul` suggestion using `MulEquiv.ofUnique` and add `FreeGroup α ≃* Multiplicative ℤ`.
This is a dependency of a larger PR to formalize finitely presented groups https://github.com/leanprover-community/mathlib4/pull/34236.
---
Originally, the PR showed that `FreeGroup Empty ≃* Unit` and `FreeGroup α ≃* Multiplicative ℤ`. During the review process, I was asked to generalized `Unit` to any `Unique` type and `Empty` to `IsEmpty`. Through working on this, it has been realized that the pre-existing `FreeGroup Empty ≃ Unit` should be deprecated using `Equiv.ofUnique` and a multiplicative version `FreeGroup Empty ≃* Unit` can be obtained similarly using `MulEquiv.ofUnique` and there was no need to explicitly upgrade the equivalence. The title has been changed to reflect this.
[](https://gitpod.io/from-referrer/)
|
t-group-theory
new-contributor
|
45/6 |
Mathlib/GroupTheory/FreeGroup/Basic.lean |
1 |
40 |
['b-mehta', 'copilot-pull-request-reviewer', 'github-actions', 'homeowmorphism', 'kbuzzard', 'riccardobrasca', 'tb65536'] |
riccardobrasca assignee:riccardobrasca |
9-46028 9 days ago |
25-35700 25 days ago |
32-52188 32 days |
| 35665 |
BryceT233 author:BryceT233 |
feat(RingTheory/AdicCompletion): introduce AdicCompletion.finsuppSum |
This is split from #34936 to make the review process easier.
It introduces `AdicCompletion.finsuppSum`, which is a `Finsupp` version of `AdicCompletion.sum`.
---
- [x] depends on: #35595
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-ring-theory
|
93/0 |
Mathlib/LinearAlgebra/Finsupp/LSum.lean,Mathlib/RingTheory/AdicCompletion/Functoriality.lean |
2 |
4 |
['github-actions', 'joneugster', 'mathlib-dependent-issues'] |
riccardobrasca assignee:riccardobrasca |
9-12020 9 days ago |
12-79796 12 days ago |
18-5777 18 days |
| 34937 |
tannerduve author:tannerduve |
feat(Computability): semilattice instance on Turing degrees |
This PR equips `TuringDegree` with a `SemilatticeSup` structure by introducing the Turing join, proving usual least-upper-bound properties, and lifting these to degrees (quotients). In support of this, it extends the existing `RecursiveIn` API with some lemmas used in the degree theory.
The main contribution is the `SemilatticeSup` instance on `TuringDegree`. We define the Turing join as follows
```
turingJoin (f g) : ℕ → ℕ -- notation: f ⊕ g
```
and prove it is a least upper bound:
* `left_le_join`, `right_le_join`
* `join_le`
* monotonicity and congruence lemmas (`join_mono`, `join_congr`)
We lift this to degrees in `TuringDegree.sup`, `TuringDegree.le_sup_left`, `TuringDegree.le_sup_right`, and `TuringDegree.sup_le`
```
instance : SemilatticeSup TuringDegree
```
**New additions to `RecursiveIn.lean`:**
- `liftPrim`, `liftPrimrec`, `RecursiveIn'`, `ComputableIn`, `ComputableIn₂`: Encodes partial/total functions between `Primcodable` types as `ℕ →. ℕ`, analogous to `Partrec`/`Computable`.
- `of_eq`, `of_eq_tot`, `of_primrec`, `some`, `none`, `mono`, `subst`: Standard closure properties for `RecursiveIn`.
- `cond_const`, `cond_core_rfind`, `cond`, `ComputableIn.cond`: Shows `RecursiveIn` is closed under conditionals when the guard is absolutely computable
- `Nat.Partrec.recursiveIn`, `Computable.computableIn`: Every partrec/computable function is recursive in any oracle set.
Small addition to `Partrec`
we add to `Mathlib.Computability.Partrec` a small helper def (`Partrec.kronecker` and related `rfind` lemmas) representing the function that returns 1 if its two (unpaired) arguments are equal, and 0 otherwise, which is used in the proof of `cond`
## TODO
Some current `RecursiveIn` proofs such as `cond_core_rfind` still work directly with the inductive constructors and are thus very long. A follow up could add a combinator-style closure library by essentially relativizing all the results and lemmas in `Partrec`, and proofs could be golfed heavily as they are in `Partrec`
## Note: AI Usage
[Aleph prover](https://logicalintelligence.com/aleph-coding-ai/) was allowed to prove an earlier version of `cond_core_rfind`, which included stating and proving the lemma `cond_const` but the proofs have since been iterated on manually
Cursor was allowed to run git commands and edit docstrings/headers, and was used in setting up the module structure of the files |
t-computability
new-contributor
large-import
|
644/63 |
Mathlib/Computability/Partrec.lean,Mathlib/Computability/RecursiveIn.lean,Mathlib/Computability/TuringDegree.lean |
3 |
14 |
['eric-wieser', 'github-actions', 'plp127', 'tannerduve', 'vihdzp'] |
nobody |
9-6943 9 days ago |
24-31110 24 days ago |
34-677 34 days |
| 35559 |
mike1729 author:mike1729 |
feat(Analysis/Normed): weak-topology embedding into weak-star bidual and compactenss transfer theorem |
This PR refactors the double dual material and adds new results connecting the weak topology on a normed space to the weak-star topology on its bidual.
## Changes
### New file: `Analysis.Normed.Module.DoubleDual`
Extracts the canonical embedding `inclusionInDoubleDual` and the bidual isometry `inclusionInDoubleDualLi` from `Analysis.Normed.Module.Dual` into a dedicated file, and adds:
- `inclusionInDoubleDualWeak`: the canonical map from `WeakSpace 𝕜 X` into `WeakDual 𝕜 (StrongDual 𝕜 X)`.
- `inclusionInDoubleDualWeak_isEmbedding`: this map is a topological embedding.
- `inclusionInDoubleDualWeak_homeomorph`: the map as a homeomorphism onto its range.
- `isCompact_closure_of_isBounded`: bounded sets whose bidual image has weak-star closure in range have weakly compact closure, via Banach–Alaoglu.
### Modified: `Analysis.Normed.Module.Dual`
The double dual inclusion material is moved out; polar set results remain. References to `inclusionInDoubleDual` in `polar_closure` are replaced by `ContinuousLinearMap.apply` to avoid a dependency on the new file.
---
CC: @faenuccio this may be relevant for your Goldstine formalization.
|
t-analysis
new-contributor
|
240/91 |
Mathlib.lean,Mathlib/Analysis/LocallyConvex/SeparatingDual.lean,Mathlib/Analysis/LocallyConvex/Separation.lean,Mathlib/Analysis/Normed/Module/DoubleDual.lean,Mathlib/Analysis/Normed/Module/Dual.lean,Mathlib/Analysis/Normed/Module/WeakDual.lean,Mathlib/Analysis/Normed/Module/WeakSpace.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/FundThmCalculus.lean,Mathlib/MeasureTheory/Measure/CharacteristicFunction/Basic.lean,Mathlib/Probability/Distributions/Gaussian/CharFun.lean |
10 |
23 |
['ADedecker', 'github-actions', 'j-loreaux', 'mathlib-merge-conflicts', 'mike1729'] |
faenuccio assignee:faenuccio |
8-58091 8 days ago |
9-45958 9 days ago |
11-12992 11 days |
| 35651 |
sun123zxy author:sun123zxy |
feat(Mathlib/RingTheory/Ideal/Cotangent): `Submodule.map` definition of cotangent spaces |
This PR adds an alternative definition of the cotangent space as an image under the R-module quotient map.
---
Split from PR #33247
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
|
47/20 |
Mathlib/RingTheory/Ideal/Cotangent.lean,Mathlib/RingTheory/Ideal/Quotient/Operations.lean |
2 |
10 |
['erdOne', 'github-actions', 'mathlib-merge-conflicts', 'sun123zxy'] |
chrisflav assignee:chrisflav |
8-53027 8 days ago |
13-34820 13 days ago |
6-9373 6 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
|
499/0 |
Mathlib/Computability/EpsilonNFA.lean |
1 |
2 |
['github-actions'] |
nobody |
8-33843 8 days ago |
unknown |
0-0 0 seconds |
| 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 |
2 |
['github-actions'] |
nobody |
8-16900 8 days ago |
8-16962 8 days ago |
8-17560 8 days |
| 34578 |
dennj author:dennj |
feat: define Boolean circuits over abstract gate families |
This PR introduces a foundation for Boolean circuits parameterized by abstract gate families.
## Main definitions
- `GateEval`: typeclass for gate families with Boolean semantics
- `GateHom`: arity-preserving maps between gate families
- `Circuit`: inductive type representing circuit syntax trees
- `AC0Gate`, `ACC0Gate`, `TC0Gate`: standard complexity-theoretic gate bases
## Design notes
The key design choice is to keep **syntax** (gate labels `G : Nat → Type`) separate from
**semantics** (`GateEval.eval`), allowing users to define custom gate families (e.g., MAJ, XOR,
arbitrary threshold gates) without modifying core definitions.
### Tree vs DAG representation
We evaluated two approaches for circuit representation:
1. **Tree-based** (this PR): Circuits as inductive syntax trees
2. **DAG-based**: Circuits as lists of gates with index-based references
We chose tree-based circuits because:
- **Compositionality**: Easy to build circuits via `gate g (fun i => subcircuit i)`
- **Type safety**: Arity-indexed gates (`G : Nat → Type`) catch errors at compile time
- **Manipulation**: Natural support for `mapGate`, `subst`, `mapInputs`
- **Mathlib philosophy**: Aligns with structural/compositional reasoning patterns
For use cases requiring explicit sharing (complexity analysis, evaluation efficiency),
a separate `DAG` type can be added later with proven equivalence via `Circuit.toDAG`.
The current representation serves as a minimal foundation for size/depth measures,
circuit families, and complexity classes (AC0, ACC0, TC0).
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-computability
|
919/0 |
Mathlib.lean,Mathlib/Computability/Circuit/Basic.lean,Mathlib/Computability/Formula/Basic.lean,Mathlib/Computability/Gate.lean |
4 |
18 |
['LLaurance', 'YuvalFilmus', 'dennj', 'github-actions'] |
Komyyy assignee:Komyyy |
8-11979 8 days ago |
25-5467 25 days ago |
32-44601 32 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'] |
mattrobball assignee:mattrobball |
6-30439 6 days ago |
6-30415 6 days ago |
27-51296 27 days |
| 36320 |
ZRTMRH author:ZRTMRH |
feat(Combinatorics): add Schreier graph definition and covering property |
Defines Schreier graphs as quivers with labeled edges.
`SchreierGraph V ι`: type alias for vertices with quiver structure
`schreierGraphLabelling`: prefunctor extracting edge labels
`schreierGraphLabelling_isCovering`: the labelling is a covering for group actions
`schreierGraph_action_commute`: label-preserving maps commute with the action
Ported from [Lean 3 PR #18693](https://github.com/leanprover-community/mathlib3/pull/18693).
This PR was written with AI assistance (Claude). The code has been reviewed by the author and their advisor.
---
This is the first in a series of PRs splitting #35467 into smaller pieces, as suggested by reviewers. Upcoming PRs will add word evaluation, paths, connectivity, automorphisms, examples, and Cayley sum graphs.
|
t-combinatorics
new-contributor
|
175/0 |
Mathlib.lean,Mathlib/Combinatorics/Quiver/Schreier.lean |
2 |
2 |
['github-actions'] |
nobody |
6-27019 6 days ago |
6-49056 6 days ago |
6-48963 6 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
|
360/0 |
Mathlib.lean,Mathlib/Geometry/Polygon/Boundary.lean,Mathlib/Geometry/Polygon/Simple.lean,Mathlib/Logic/Equiv/Fin/Rotate.lean |
4 |
29 |
['A-M-Berns', 'eric-wieser', 'github-actions', 'joneugster', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp', 'wwylele'] |
JovanGerb assignee:JovanGerb |
5-145 5 days ago |
16-37891 16 days ago |
18-72084 18 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'] |
nobody |
4-57896 4 days ago |
9-5816 9 days ago |
17-75014 17 days |
| 33895 |
jessealama author:jessealama |
feat(Computability/Primrec): add list_take, list_drop, list_modify, and list_set |
This PR shows that several list operations from Lean core are primitive recursive:
- `list_drop`: [`List.drop`](https://github.com/leanprover/lean4/blob/master/src/Init/Data/List/TakeDrop.lean), via iterating `List.tail` using `nat_iterate`
- `list_take`: [`List.take`](https://github.com/leanprover/lean4/blob/master/src/Init/Data/List/TakeDrop.lean), via `list_drop` on the reversed list
- `list_modifyHead'`: [`List.modifyHead`](https://github.com/leanprover/lean4/blob/master/src/Init/Data/List/Nat/Modify.lean) with external data
- `list_modify'`: [`List.modify`](https://github.com/leanprover/lean4/blob/master/src/Init/Data/List/Nat/Modify.lean) with external data
- `list_modify`: [`List.modify`](https://github.com/leanprover/lean4/blob/master/src/Init/Data/List/Nat/Modify.lean)
- `list_set`: [`List.set`](https://github.com/leanprover/lean4/blob/master/src/Init/Prelude.lean)
The primed versions (`list_modify'`, `list_modifyHead'`) take a function `g : β → α → α` that depends on external data of type `β`. This generalization enables deriving the other operations:
- `list_modify` specializes `list_modify'` with `β = Unit`
- `list_set` uses `list_modify'` via `List.set_eq_modify`
Also moves `list_length` earlier in the file (before `list_drop` and `list_take`, which depend on it). |
new-contributor
t-computability
|
47/4 |
Mathlib/Computability/Primrec/List.lean |
1 |
1 |
['github-actions'] |
nobody |
4-28692 4 days ago |
57-71250 57 days ago |
58-8105 58 days |
| 35017 |
robo7179 author:robo7179 |
feat(Combinatorics/SimpleGraph/Acyclic): add every nontrivial tree has atleast two leaves |
Added two theorems to prove that every non trivial tree has atleast two leaves (one in Finite the other in Acyclic).
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
75/0 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Finite.lean |
2 |
24 |
['IvanRenison', 'SnirBroshi', 'github-actions', 'robo7179'] |
nobody |
3-65547 3 days ago |
4-35890 4 days ago |
31-32107 31 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'] |
b-mehta assignee:b-mehta |
3-19135 3 days ago |
6-53175 6 days ago |
13-19399 13 days |
| 35907 |
JJYYY-JJY author:JJYYY-JJY |
fix(Topology/Defs/Basic): preserve noncanonical topology instances in delaboration |
Preserve noncanonical topology instances in delaboration.
Restore local instances before checking whether topology arguments can be omitted during delaboration, and print `IsOpen[t]`, `IsClosed[t]`, `closure[t]`, and `Continuous[t₁, t₂]` when the topology instances are not canonical in the current local-instance context.
Previously, pretty-printing could silently drop noncanonical topology arguments, so declarations such as `LinearMap.mem_span_iff_continuous_of_finite` were rendered as if they used the default topology.
Closes #33238 |
t-topology
new-contributor
|
147/0 |
Mathlib/Topology/Defs/Basic.lean,MathlibTest/TopologyNonstandardNotation.lean |
2 |
7 |
['JJYYY-JJY', 'copilot-pull-request-reviewer', 'github-actions', 'j-loreaux'] |
j-loreaux assignee:j-loreaux |
3-18008 3 days ago |
3-43495 3 days ago |
9-45896 9 days |
| 34709 |
dennj author:dennj |
feat(Analysis/ODE): add discrete Grönwall inequality |
## Summary
Add discrete Grönwall inequality to `Mathlib/Analysis/ODE/DiscreteGronwall.lean`
Provides bounds for recurrence inequalities of the form `u(n+1) ≤ c(n) * u(n) + b(n)`
### Main results
- `discrete_gronwall_prod_general`: Product form working over any linearly ordered commutative ring
- `prod_one_add_Ico_mono`: Auxiliary lemma for product comparisons over subintervals
- `discrete_gronwall`: Classical exponential bound `u(n) ≤ (u(n₀) + ∑ b(k)) * exp(∑ c(i))` (ℝ-specific)
- `discrete_gronwall_Ico`: Uniform bound over a finite interval (ℝ-specific)
## Related work
Complements the continuous Grönwall inequality in `Mathlib.Analysis.ODE.Gronwall`
## References
* Grönwall, T. H. (1919). "Note on the derivatives with respect to a parameter of the solutions of a system of differential equations". *Annals of Mathematics*, 20(4), 292–296.
|
t-analysis
new-contributor
|
174/0 |
Mathlib.lean,Mathlib/Analysis/ODE/DiscreteGronwall.lean |
2 |
1 |
['github-actions'] |
nobody |
3-12036 3 days ago |
40-1452 40 days ago |
40-1359 40 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 |
3-12032 3 days ago |
15-981 15 days ago |
15-3854 15 days |
| 36332 |
mike1729 author:mike1729 |
feat(Analysis/Normed/Module/WeakDual): register bornology and boundedness API |
## Description
This PR registers `Bornology` instance and introduces a boundedness API as discussed [on Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/instBornology.20for.20WeakSpace.20and.20WeakDual/with/577457935).
### Main additions
- **`WeakDual.instBornology`**: Bornology instance on `WeakDual 𝕜 E` inherited from `StrongDual 𝕜 E` via `inferInstanceAs`. This makes `IsBounded` available directly on weak dual sets, where boundedness means operator-norm boundedness.
- **`isVonNBounded_iff_pointwise_bounded`**: A set `s` in `WeakDual 𝕜 E` is von Neumann bounded (w.r.t. the weak-* topology) iff it is pointwise bounded: every `x : E` has `‖f x‖ ≤ r x` for all `f ∈ s`.
- **`isBounded_iff_isVonNBounded`**: For normed spaces over `ℝ` or `ℂ`, norm-boundedness and weak-* von Neumann boundedness coincide (via Banach–Steinhaus).
- **`isBounded_iff_pointwise_bounded`**: Combines the above two: norm-boundedness ↔ pointwise boundedness.
- **`isBounded_polar`** and **`isBounded_closedBall`**: Standalone lemmas replacing repeated inline `isBounded_toStrongDual_preimage_iff_isBounded.mpr ...` patterns.
- **Simp lemmas**: `isBounded_toStrongDual_preimage_iff_isBounded` and `isBounded_toWeakDual_preimage_iff_isBounded` for translating between weak and strong dual boundedness.
### API simplification
The existing lemmas `isClosed_image_coe_of_bounded_of_closed`, `isCompact_of_bounded_of_closed`, and `isSeqCompact_of_isBounded_of_isClosed` now take `IsBounded s` directly instead of the more verbose `IsBounded (StrongDual.toWeakDual ⁻¹' s)`, since the two are definitionally equal with the new bornology instance.
### Minor changes
- Replaced `grind` tactic usage with explicit term
- Fixed deprecation dates from 2024-11-19 to 2025-11-19
- Renamed local variable `F` to `E` for consistency with the rest of the file
- Added comprehensive module and declaration docstrings
---
- [ ] depends on: —
- [ ] modifies an existing declaration: yes (simplified signatures of `isClosed_image_coe_of_bounded_of_closed`, `isCompact_of_bounded_of_closed`, `isSeqCompact_of_isBounded_of_isClosed`)
- [ ] adds new declarations: yes (`instBornology`, `isBounded_toStrongDual_preimage_iff_isBounded`, `isBounded_toWeakDual_preimage_iff_isBounded`, `isVonNBounded_iff_pointwise_bounded`, `isBounded_iff_isVonNBounded`, `isBounded_iff_pointwise_bounded`, `isBounded_closedBall`, `isBounded_polar`)
---
Open in Gitpod
-->
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-analysis
|
205/70 |
Mathlib/Analysis/Normed/Module/WeakDual.lean |
1 |
2 |
['github-actions'] |
j-loreaux assignee:j-loreaux |
3-12017 3 days ago |
6-29586 6 days ago |
6-29595 6 days |
| 36463 |
AlexeyMilovanov author:AlexeyMilovanov |
feat(Data.Nat.Bits): add Nat.ofBits and prove bits_injective |
This PR introduces `Nat.ofBitsList` for `List Bool` and provides the missing proofs that the standard binary representation `Nat.bits` is injective (`Nat.bits_injective`) and possesses a right inverse for normalized lists (`Nat.bits_ofBitsList`).
`ofBitsList` is implemented as an `abbrev` using `foldr` (keeping it transparent to tactics like `simp`). It serves as the exact left inverse to `bits`. Furthermore, `bits_ofBitsList` establishes that `bits` and `ofBitsList` form a bijection between `ℕ` and the set of lists with no trailing `false` values.
This avoids the name collision with `Nat.ofBits` from `Batteries` and aligns with previous Zulip discussions (see [here](https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/PR.20.2335857.3A.20Bijective.20Base-2.20Numeration)) regarding the utility of having a complete list-based API for `Nat.bits` in the library.
CC: @linesthatinterlace
- Adds `Nat.ofBitsList` (as an `abbrev`)
- Adds `Nat.ofBitsList_bits` (left inverse property)
- Adds `Nat.bits_injective`
- Adds `Nat.ofBitsList_eq_zero_iff` (helper lemma for lists without trailing zeros)
- Adds `Nat.bits_ofBitsList` (right inverse property) |
t-data
new-contributor
|
68/1 |
Mathlib/Data/Nat/Bits.lean |
1 |
3 |
['github-actions', 'linesthatinterlace'] |
nobody |
3-3713 3 days ago |
3-13618 3 days ago |
3-13625 3 days |
| 35647 |
BryceT233 author:BryceT233 |
feat(RingTheory/Ideal/Quotient): add a canonical inclusion map |
This is the second PR split from the larger PR https://github.com/leanprover-community/mathlib4/pull/34936 to make the review process easier.
It introduces `Submodule.powSmulQuotInclusion`, which is the canonical inclusion from `I ^ a • N ⧸ I ^ b • (I ^ a • N)` to `M ⧸ I ^ c • N` where `c = b + a`, and provides auxiliary lemmas for it
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
|
37/0 |
Mathlib/RingTheory/Ideal/Quotient/PowTransition.lean |
1 |
9 |
['BryceT233', 'erdOne', 'github-actions', 'wwylele'] |
chrisflav assignee:chrisflav |
2-77292 2 days ago |
13-5474 13 days ago |
19-20168 19 days |
| 32692 |
WilliamCoram author:WilliamCoram |
feat: define multivariate restricted power series |
We define multivariate restricted power series over a normed ring R, and show the properties that they form a ring when R has the ultrametric property.
This work generalises my previous work in #26089 which will need to be refactored.
---
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
t-number-theory
new-contributor
|
178/0 |
Mathlib.lean,Mathlib/Analysis/Normed/Order/Antidiag.lean,Mathlib/RingTheory/MvPowerSeries/Restricted.lean |
3 |
35 |
['WilliamCoram', 'erdOne', 'github-actions', 'jcommelin', 'mathlib-merge-conflicts'] |
nobody |
2-52180 2 days ago |
2-81373 2 days ago |
10-75328 10 days |
| 35451 |
samueloettl author:samueloettl |
feat(MeasureTheory.Function): compMeasurePreserving_iterate |
---
These are useful for dynamics/ergodic theory.
Possibly some of these could be simp lemmas but I'm not confident enough to say that they are so I didn't mark them as such.
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-measure-probability
|
85/2 |
Mathlib/MeasureTheory/Function/AEEqFun.lean,Mathlib/MeasureTheory/Function/LpSpace/Basic.lean,Mathlib/MeasureTheory/Measure/QuasiMeasurePreserving.lean,Mathlib/Order/Filter/Basic.lean |
4 |
17 |
['ADedecker', 'github-actions', 'samueloettl'] |
ADedecker assignee:ADedecker |
2-36237 2 days ago |
2-36237 2 days ago |
22-24901 22 days |
| 36274 |
JTylM author:JTylM |
feat(Combinatorics/SimpleGraph/Matching): implemented the matchingNumber of a graph |
---
I implemented the matchingNumber as described in the issue and proved some statements including
showing that there exists a matching achieving the matchingNumber.
matchingNumber is increasing under injective maps
matchingNumber is equal under isomorphisms
matchingNumber of a matching is the cardinality of the matching
This is my first PR and i had some trouble with some of the proofs, especially with the proof for matchingNumber.isAttained. So any suggestions on how to make the proofs shorter would be welcome. Also i was not sure about the naming of some of the theorems so i would apprechiate feedback here as well.
|
new-contributor
t-combinatorics
|
357/2 |
Mathlib/Combinatorics/SimpleGraph/Matching.lean |
1 |
6 |
['SnirBroshi', 'SproutSeeds', 'github-actions'] |
nobody |
2-25043 2 days ago |
5-37947 5 days ago |
5-38565 5 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
|
29/0 |
Mathlib/Analysis/Distribution/ContDiffMapSupportedIn.lean,Mathlib/Analysis/Distribution/Distribution.lean,Mathlib/Analysis/Distribution/TestFunction.lean |
3 |
2 |
['github-actions'] |
nobody |
2-16849 2 days ago |
2-39172 2 days ago |
2-39079 2 days |
| 36174 |
mike1729 author:mike1729 |
feat(Topology/Compactness): add countably compact sets |
This PR introduces the theory of countably compact sets and spaces. The motivation was the Eberlein–Šmulian theorem but of course this theory is of its own interest and there are many more applications.
New definitions:
- `IsCountablyCompact A`: a set `A` is countably compact if every sequence in `A`
has a cluster point in `A`.
- `CountablyCompactSpace E`: the whole space `E` is countably compact.
Main results:
- `IsCountablyCompact.elim_finite_subcover`: finite subcover from any countable open cover.
- `isCountablyCompact_iff_countable_open_cover`: equivalence with the finite-subcover property.
- `IsCompact.IsCountablyCompact`: compact implies countably compact.
- `IsSeqCompact.IsCountablyCompact`: sequentially compact implies countably compact.
- `IsCountablyCompact.isSeqCompact`: countably compact implies sequentially compact
in a first-countable space.
- `isCountablyCompact_iff_infinite_subset_has_accPt`: Bolzano–Weierstrass characterisation
in a T₁ space.
- `IsLindelof.isCompact`: a countably compact Lindelöf set is compact.
- `IsCountablyCompact.image`: continuous images of countably compact sets are countably compact.
- Union stability: binary, `Finset`, `Set.Finite`, and `iUnion` variants.
Co-authored-by: Yongxi Lin @CoolRmal
---
This PR adds `Mathlib.Topology.Compactness.CountablyCompact`, a new file alongside the existing `Compact`, `SeqCompact`, and `Lindelof` files.
The primary definition follows Engelking's *General Topology* (the cluster-point characterisation for sequences), and the equivalence with the finite-subcover characterisation is established immediately.
The immediate motivation for this PR is #35473 (Eberlein–Šmulian theorem), which depends on it. Further PRs will extend the theory of countably compact spaces.
-->
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-topology
|
299/0 |
Mathlib.lean,Mathlib/Topology/ClusterPt.lean,Mathlib/Topology/Compactness/CountablyCompact.lean |
3 |
4 |
['github-actions', 'mike1729', 'plp127'] |
j-loreaux assignee:j-loreaux |
2-12046 2 days ago |
8-68064 8 days ago |
8-67971 8 days |
| 35906 |
scp020 author:scp020 |
feat(Combinatorics/SimpleGraph/Walks): add Walk.IsChord and Walk.IsChordless |
Add `Walk.IsChord` and `Walk.IsChordless` predicates in a new file `SimpleGraph/Walks/Chords.lean`.
See "chord" in https://en.wikipedia.org/wiki/Glossary_of_graph_theory
Discussion on Zulip:
[Zulip link](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Walk.2EIsChordless.20live.20in.20mathlib.3F/with/575277309)
authored-by: Tianyi Zhao
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
68/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Walks/Chords.lean |
2 |
11 |
['SnirBroshi', 'github-actions', 'scp020'] |
nobody |
2-6232 2 days ago |
10-9114 10 days ago |
11-59772 11 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
|
57/0 |
Mathlib/FieldTheory/Minpoly/Basic.lean,Mathlib/RingTheory/IsAdjoinRoot.lean |
2 |
3 |
['ROTARTSI82', 'github-actions'] |
nobody |
2-5969 2 days ago |
4-13341 4 days ago |
4-13248 4 days |
| 32555 |
ksenono author:ksenono |
feat(Combinatorics/SimpleGraph/Matching): maximum and maximal matchings for Konig's theorem |
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
new-contributor
|
127/0 |
Mathlib/Combinatorics/SimpleGraph/DegreeSum.lean,Mathlib/Combinatorics/SimpleGraph/Matching.lean |
2 |
30 |
['SnirBroshi', 'SproutSeeds', 'github-actions', 'jcommelin', 'ksenono'] |
awainverse assignee:awainverse |
2-2537 2 days ago |
38-20520 38 days ago |
90-79556 90 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'] |
urkud assignee:urkud |
1-83282 1 day ago |
18-3386 18 days ago |
20-77053 20 days |
| 36447 |
sharky564 author:sharky564 |
feat(Analysis/Topology): Generalize Riesz' theorem to locally compact… |
… T2 topological vector spaces
---
[](https://gitpod.io/from-referrer/)
|
t-analysis
new-contributor
large-import
|
130/67 |
Mathlib/Analysis/Normed/Module/FiniteDimension.lean,Mathlib/Topology/Algebra/Module/FiniteDimension.lean |
2 |
5 |
['CoolRmal', 'github-actions', 'sharky564'] |
nobody |
1-49715 1 day ago |
3-40608 3 days ago |
3-40544 3 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
|
98/3 |
Mathlib/Algebra/Category/Grp/ForgetCorepresentable.lean,Mathlib/CategoryTheory/Sites/Abelian.lean,Mathlib/CategoryTheory/Sites/SheafCohomology/Basic.lean |
3 |
26 |
['Brian-Nugent', 'adamtopaz', 'dagurtomas', 'github-actions', 'joelriou', 'joneugster', 'mathlib-merge-conflicts'] |
adamtopaz assignee:adamtopaz |
1-45344 1 day ago |
1-63071 1 day ago |
29-58487 29 days |
| 36104 |
LarsenClose author:LarsenClose |
feat(CategoryTheory/Endofunctor/Algebra): add Adámek's initial algebra theorem |
Adds Adámek's initial algebra theorem for endofunctors on categories
with an initial object. Given `F : C ⥤ C` where `C` has an initial
object, if the initial chain `⊥ → F(⊥) → F²(⊥) → ⋯` has a colimit
preserved by `F`, then `F` has an initial algebra whose structure map
is an isomorphism.
New files:
- `InitialChain.lean`: defines `iterateObj F n`, `iterateMap F n`,
and `initialChain F : ℕ ⥤ C` via `Functor.ofSequence`.
- `ChainShift.lean`: constructs `shiftCocone` and `extendCocone`,
proves `shiftCoconeIsColimit` (shifted cocone inherits colimit).
- `Adamek.lean`: main result. Constructs the initial `F`-algebra
`adamek F c hc` and proves `adamek_isInitial`. Convenience API:
`adamekFromInitial`, `adamekStructureIso`, `adamekFixedPoint`.
0 sorry. References Adámek 1974.
--- |
t-category-theory
new-contributor
|
505/0 |
Mathlib.lean,Mathlib/CategoryTheory/Endofunctor/Algebra/Adamek.lean,Mathlib/CategoryTheory/Endofunctor/Algebra/ChainShift.lean,Mathlib/CategoryTheory/Endofunctor/Algebra/InitialChain.lean,docs/references.bib |
5 |
3 |
['dagurtomas', 'github-actions'] |
joelriou assignee:joelriou |
1-27274 1 day ago |
8-83988 8 days ago |
8-84009 8 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
|
59/3 |
Mathlib/Combinatorics/SimpleGraph/Metric.lean |
1 |
35 |
['Fieldnote-Echo', 'Rida-Hamadani', 'SnirBroshi', 'github-actions', 'lauramonk', 'vlad902'] |
nobody |
1-20934 1 day ago |
3-46053 3 days ago |
3-45960 3 days |
| 36473 |
AlexeyMilovanov author:AlexeyMilovanov |
feat(Computability.Primrec.List): add primrec proofs for drop, takeWhile, and dropWhile |
This PR adds missing proofs that several standard `List` operations are primitive recursive (`Primrec`).
Specifically, it introduces:
- `List.Primrec.drop`: `List.drop` is primitive recursive (using `nat_rec'`).
- `List.Primrec.takeWhile`: `List.takeWhile` is primitive recursive (using `list_rec`).
- `List.Primrec.dropWhile`: `List.dropWhile` is primitive recursive (using `list_rec`).
- `List.Primrec.length_takeWhile`: The length of `takeWhile` is primitive recursive.
These are basic computability properties for lists that were currently missing from `Mathlib.Computability.Primrec.List`. All proofs use standard combinators and `of_eq`. |
t-computability
new-contributor
|
36/1 |
Mathlib/Computability/Primrec/List.lean,Mathlib/Data/List/TakeDrop.lean |
2 |
9 |
['AlexeyMilovanov', 'Komyyy', 'github-actions'] |
Komyyy assignee:Komyyy |
1-19359 1 day ago |
1-35657 1 day ago |
1-28887 1 day |
| 36245 |
BryceT233 author:BryceT233 |
feat(RingTheory/LocalRing): introduce algebra map version of `ResidueField.map` |
This PR added `IsLocalHom` instances to `AlgHom` and introduced the algebra map version of `IsLocalRing.ResidueField.map`
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-ring-theory
|
57/0 |
Mathlib/RingTheory/LocalRing/ResidueField/Basic.lean,Mathlib/RingTheory/LocalRing/RingHom/Basic.lean |
2 |
2 |
['github-actions'] |
mattrobball assignee:mattrobball |
1-12020 1 day ago |
7-79968 7 days ago |
7-79972 7 days |
| 35745 |
khwilson author:khwilson |
feat(Mathlib/Analysis/Asymptotics/Defs): congr lemmas for IsBigO* |
This PR primarily provides two calculational lemmas that are commonly used in bounding functions.
First, it provides `IsBigO*.sum_congr`. This theorem allows the user to bound each term of a (finite) sum individually. This is different than `IsBigO.sum` which requires all terms to be bound by the _same_ function.
Second, it provides `IsBigO*.sum_congr'`. This theorem allows the user to bound the terms of a sum individually _when the length of the sum changes with respect to the running variable_. This is a common setup with certain techniques such as the method of the hyperbola.
Note: This makes the overall length of this file go above 1500 lines. I'm happy to break it up at the request of reviewers, but that's a bigger change to the API.
AI Usage: Looking up various lemma names in Google Gemini.
---
[](https://gitpod.io/from-referrer/)
|
t-analysis
new-contributor
|
72/1 |
Mathlib/Analysis/Asymptotics/Defs.lean |
1 |
16 |
['github-actions', 'j-loreaux', 'khwilson'] |
j-loreaux assignee:j-loreaux |
1-3602 1 day ago |
1-3649 1 day ago |
15-26928 15 days |
| 36414 |
alainchmt author:alainchmt |
feat(FieldTheory/Finite): irreducible factors of X^q^n - X have degree dividing n |
Add the theorem that if an irreducible polynomial over a finite field `K` divides `X ^ (Fintype.card K) ^ n - X`, then the degree of the polynomial divides `n`. We also add an auxiliary lemma stating that polynomials of nonzero degree dividing `X ^ (Fintype.card K) - X` have a root in `K`.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
53/0 |
Mathlib/FieldTheory/Finite/Extension.lean,Mathlib/FieldTheory/Finite/GaloisField.lean,Mathlib/FieldTheory/IntermediateField/Adjoin/Basic.lean,Mathlib/FieldTheory/Minpoly/Field.lean |
4 |
9 |
['alainchmt', 'github-actions', 'tb65536'] |
nobody |
0-75870 21 hours ago |
2-43287 2 days ago |
4-18132 4 days |
| 33731 |
nielsvoss author:nielsvoss |
feat(Analysis/InnerProductSpace): definition of singular values for finite-dimensional inner product spaces |
This PR defines the singular values for linear maps between finite-dimensional inner product spaces.
The API is designed in a way that allows it to be generalized to the approximation numbers, as defined in #32126.
See the discussion on Zulip: https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Singular.20Value.20Decomposition/with/558914024
---
- [x] depends on: #34362
- [x] depends on: #34660
- [x] depends on: #35174
- [x] depends on: #35236
- [x] depends on: #35582
- [x] depends on: #36106
[](https://gitpod.io/from-referrer/)
|
t-analysis
new-contributor
|
216/0 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/SingularValues.lean |
2 |
27 |
['b-mehta', 'dupuisf', 'eric-wieser', 'github-actions', 'j-loreaux', 'mathlib-dependent-issues', 'nielsvoss', 'themathqueen'] |
nobody |
0-66566 18 hours ago |
0-66442 18 hours ago |
0-66661 18 hours |
| 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$ |
83/0 |
Mathlib/Algebra/MvPolynomial/Degrees.lean |
1 |
2 |
['github-actions'] |
dagurtomas assignee:dagurtomas |
0-63529 17 hours ago |
5-5872 5 days ago |
5-5779 5 days |
| 36088 |
pevogam author:pevogam |
feat: add a LE version of previous div_lt_div_iff_mul_lt_mul theorem |
The following is more useful due to the partial order application of LE in comparison to LT.
Additionally, add specialized cases of equal denominators as simpler syntactic sugar.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
16/0 |
Mathlib/Algebra/Order/Ring/Unbundled/Rat.lean |
1 |
6 |
['dagurtomas', 'github-actions', 'pevogam'] |
dagurtomas assignee:dagurtomas |
0-56325 15 hours ago |
10-19279 10 days ago |
10-19292 10 days |
| 35586 |
farmanb author:farmanb |
feat(CategoryTheory/Abelian/Preradical): introduce and characterize radicals |
Following Stenström, a preradical `Φ` is called radical if it coincides with its self colon. We encode this as the existence of an isomorphism `Φ.colon Φ ≅ Φ`. We then prove a basic characterization of radical preradicals in terms of the vanishing of `Φ.r` on `Φ.quotient`.
---
- [x] depends on: #35585
[](https://gitpod.io/from-referrer/)
|
t-category-theory
new-contributor
|
89/0 |
Mathlib.lean,Mathlib/CategoryTheory/Abelian/Preradical/Radical.lean |
2 |
19 |
['farmanb', 'github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'robin-carlier'] |
nobody |
0-54180 15 hours ago |
0-56967 15 hours ago |
4-29585 4 days |
| 34209 |
mike1729 author:mike1729 |
feat(Analysis/Normed): Schauder basis definition and characterization via projections |
A Schauder basis is a fundamental concept in functional analysis, providing a way to represent every element of a Banach space as a unique convergent series. This PR adds the core structures, some theorems necessary to work with these bases and a characterization of a Schauder basis using projections.
This PR is based on Chapter 1. from Albiac, F., & Kalton, N. J. (2016). Topics in Banach Space Theory.
This is a first PR in a series of three aiming for Eberlein-Smulyan Theorem. The next one will contain theory of basic sequences and the final one will contain a proof of Eberlein-Smulyan Theorem using basic sequences.
---
[](https://gitpod.io/from-referrer/)
|
t-analysis
new-contributor
|
539/0 |
Mathlib.lean,Mathlib/Analysis/Normed/Module/Bases.lean,docs/references.bib |
3 |
204 |
['Ruben-VandeVelde', 'faenuccio', 'github-actions', 'goliath-klein', 'j-loreaux', 'mike1729', 'sgouezel', 'themathqueen'] |
sgouezel assignee:sgouezel |
0-52182 14 hours ago |
14-44469 14 days ago |
39-908 39 days |
| 35568 |
goliath-klein author:goliath-klein |
refactor(PiTensorProduct/{InjectiveNorm, ProjectiveNorm}): switch NormedSpace instance to `projectiveSeminorm` |
The PR switches the `NormedSpace` instance on `PiTensorProduct`s from `injectiveSeminorm` to `projectiveSeminorm` and updates all follow-up results.
The signature of `norm_eval_le_projectiveSeminorm` is changed to match the one of `norm_eval_le_injectiveSeminorm`.
This is the second 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).
---
- [x] depends on: #35567
This series is the result of splitting up #34137. More discussion there.
Co-authored-by: Davood H. H. Tehrani
[](https://gitpod.io/from-referrer/)
|
new-contributor |
27/29 |
Mathlib/Analysis/Normed/Module/PiTensorProduct/InjectiveSeminorm.lean,Mathlib/Analysis/Normed/Module/PiTensorProduct/ProjectiveSeminorm.lean |
2 |
5 |
['github-actions', 'goliath-klein', 'mathlib-dependent-issues', 'robin-carlier'] |
robin-carlier assignee:robin-carlier |
0-32893 9 hours ago |
0-32893 9 hours ago |
7-38839 7 days |
| 35785 |
Brian-Nugent author:Brian-Nugent |
feat(CategoryTheory/Topology): Add Flasque Sheaves |
This PR defines flasque sheaves on a topological space as sheaves where all restriction morphisms are epimorphisms. The main result of this PR is `TopCat.Sheaf.IsFlasque.epi_of_shortExact` which says a short exact sequence where the first sheaf is flasque remains exact on sections.
---
- [x] depends on: #34267
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-category-theory
|
274/0 |
Mathlib.lean,Mathlib/Topology/Sheaves/AddCommGrpCat.lean,Mathlib/Topology/Sheaves/Flasque.lean,Mathlib/Topology/Sheaves/LocallySurjective.lean,Mathlib/Topology/Sheaves/Presheaf.lean,Mathlib/Topology/Sheaves/SheafCondition/UniqueGluing.lean |
6 |
61 |
['Brian-Nugent', 'dagurtomas', 'github-actions', 'joelriou', 'joneugster', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'smorel394'] |
dagurtomas assignee:dagurtomas |
0-29839 8 hours ago |
1-23945 1 day ago |
6-55923 6 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)
---
[](https://gitpod.io/from-referrer/)
|
t-measure-probability
new-contributor
|
224/0 |
Mathlib.lean,Mathlib/Algebra/GroupWithZero/Indicator.lean,Mathlib/Data/Set/Pairwise/Basic.lean,Mathlib/MeasureTheory/Measure/MassFunction.lean |
4 |
11 |
['DavidLedvinka', 'github-actions', 'metakunt', 'pfaffelh'] |
kex-y and ocfnash assignee:ocfnash assignee:kex-y |
0-19007 5 hours ago |
11-23216 11 days ago |
53-28869 53 days |
| 36347 |
FrankieeW author:FrankieeW |
feat(NumberTheory/QuadraticField): define quadratic number fields as QuadraticAlgebra ℚ d 0 |
Define `Qsqrtd d` as `QuadraticAlgebra ℚ d 0`, representing the quadratic number field `ℚ(√d)`. Prove trace and norm results, show `Qsqrtd d` is a number field and a quadratic extension when `d` is not a perfect square, and prove that `ℚ(√0)` and `ℚ(√1)` are not fields. Include `IsQuadraticField` as a predicate for quadratic extensions of `ℚ`, and bridge lemmas connecting squarefree integer parameters to the non-square condition.
This PR is part of a series upstreaming the [QuadraticNumberFields](https://github.com/FrankieeW/QuadraticNumberFields) project.
[Zulip discussion](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/quadratic.20number.20fields)
---
### PRs
- #36347 （this PR）
- #36387
---
|
t-number-theory
new-contributor
large-import
|
191/0 |
Mathlib.lean,Mathlib/Algebra/QuadraticAlgebra/Defs.lean,Mathlib/Algebra/Squarefree/Basic.lean,Mathlib/NumberTheory/QuadraticField/Basic.lean |
4 |
23 |
['FrankieeW', 'eric-wieser', 'github-actions', 'riccardobrasca', 'tb65536', 'wwylele'] |
tb65536 assignee:tb65536 |
0-12017 3 hours ago |
4-25421 4 days ago |
4-58358 4 days |
| 36379 |
JadAbouHawili author:JadAbouHawili |
doc: Rename Finset API instances in Documentation for clarity |
---
[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
|
3/8 |
Mathlib/Data/Finset/Lattice/Basic.lean |
1 |
4 |
['JadAbouHawili', 'github-actions'] |
joneugster assignee:joneugster |
0-12013 3 hours ago |
5-24157 5 days ago |
5-25715 5 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. |
t-number-theory
new-contributor
|
152/0 |
Mathlib.lean,Mathlib/NumberTheory/LSeries/SchwarzReflection.lean |
2 |
2 |
['github-actions'] |
alexjbest assignee:alexjbest |
0-6952 1 hour ago |
3-5429 3 days ago |
3-6199 3 days |
| 36091 |
JJYYY-JJY author:JJYYY-JJY |
feat(Analysis.LocallyConvex.Separation): add Eidelheit's separation theorem |
Adds `geometric_hahn_banach_of_interior_nonempty`, formalizing Eidelheit's separation theorem for disjoint convex sets where one has a nonempty interior.
This resolves the longstanding TODO in `Mathlib.Analysis.LocallyConvex.Separation`. The patch also removes the TODO for the topological property `Convex ℝ s → interior (closure s) ⊆ s`, as this is already handled by `Convex.closure_interior_eq_closure_of_nonempty_interior` (imported from `Mathlib.Analysis.Convex.Topology`).
Key implementation details:
* Uses `geometric_hahn_banach_open` to separate `interior A` and `B`.
* Requires `B.Nonempty` to guarantee the separating continuous linear functional is nontrivial (`f ≠ 0`), avoiding the triviality trap where `A` covers the entire space.
* Uses `closure_minimal` to extend the weak inequality from `interior A` to the entirety of `A`.
---
[](https://gitpod.io/from-referrer/)
Zulip discussion: https://leanprover.zulipchat.com/#narrow/channel/116395-maths/topic/Interior.20of.20closure.20for.20convex.20sets/with/577060103 |
t-analysis
new-contributor
|
85/5 |
Mathlib/Analysis/LocallyConvex/Separation.lean |
1 |
29 |
['CoolRmal', 'JJYYY-JJY', 'copilot-pull-request-reviewer', 'faenuccio', 'github-actions', 'wwylele'] |
faenuccio assignee:faenuccio |
0-942 15 minutes ago |
0-38241 10 hours ago |
9-8038 9 days |