Welcome to the mathlib review page. Everybody's help with reviewing is appreciated. Reviewing contributions is important, and everybody is welcome to review pull requests! If you're not sure how, the pull request review guide is there to help you.
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 |
| 24218 |
alreadydone author:alreadydone |
chore(Algebra): remove `mid_assoc` from `IsMulCentral` |
as it is a consequence of left and right associativity in the presence of commutativity. Also change the commutativity condition to use `Commute`.
---
Even without commutativity, left and right associativity of an element `e` in a magma is sufficient to prove that elements of the form `e * x * e` (the "corner" of `e`) form a submagma.
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
31/69 |
Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean,Mathlib/Algebra/Group/Center.lean,Mathlib/Algebra/GroupWithZero/Center.lean,Mathlib/Algebra/Ring/Center.lean,Mathlib/Algebra/Ring/CentroidHom.lean,Mathlib/Algebra/Star/Center.lean,Mathlib/Algebra/Star/CentroidHom.lean,Mathlib/GroupTheory/Submonoid/Center.lean,Mathlib/LinearAlgebra/Basis/Submodule.lean,Mathlib/LinearAlgebra/QuadraticForm/Basic.lean,Mathlib/RingTheory/Idempotents.lean,Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean |
12 |
8 |
['alreadydone', 'github-actions', 'mans0954'] |
nobody |
73-67015 2 months ago |
73-82075 2 months ago |
73-82063 73 days |
| 24405 |
mcdoll author:mcdoll |
refactor(Topology/Algebra/Module/WeakDual): Clean up |
- Move `Dual` and `dualPairing` lower in the import-hierachy
- deduplicate `dualPairing`
- Make `WeakDual` and `WeakSpace` reducible
---
New version of #11500
[](https://gitpod.io/from-referrer/)
|
large-import
t-topology
|
146/162 |
Mathlib.lean,Mathlib/Analysis/Fourier/RiemannLebesgueLemma.lean,Mathlib/Analysis/InnerProductSpace/Adjoint.lean,Mathlib/Analysis/InnerProductSpace/Dual.lean,Mathlib/Analysis/LocallyConvex/WeakSpace.lean,Mathlib/Analysis/Normed/Module/Dual.lean,Mathlib/Analysis/Normed/Module/WeakDual.lean,Mathlib/Analysis/VonNeumannAlgebra/Basic.lean,Mathlib/MeasureTheory/Function/AEEqOfIntegral.lean,Mathlib/MeasureTheory/Measure/FiniteMeasure.lean,Mathlib/Topology/Algebra/Module/Dual.lean,Mathlib/Topology/Algebra/Module/WeakDual.lean,docs/overview.yaml,docs/undergrad.yaml |
14 |
1 |
['github-actions'] |
nobody |
66-34287 2 months ago |
66-42980 2 months ago |
66-42961 66 days |
| 20719 |
gio256 author:gio256 |
feat(AlgebraicTopology): delaborators for truncated simplicial notations |
We add delaborators for the following notations, introduced in #20688:
- `⦋m⦌ₙ`, which denotes the `m`-dimensional simplex in the `n`-truncated simplex category.
- `X _⦋m⦌ₙ`, which denotes the `m`-th term of an `n`-truncated simplicial object `X`.
- `X ^⦋m⦌ₙ`, which denotes the `m`-th term of an `n`-truncated cosimplicial object `X`.
If `pp.proofs` is set to `true`, we also pretty-print the proof `p : m ≤ n` for all three notations as `⦋m, p⦌ₙ`, `X _⦋m, p⦌ₙ`, and `X ^⦋m, p⦌ₙ`, respectively.
Credit to @kmill for one piece of code and much metaprogramming inspiration.
---
- [x] depends on: #20688
- [x] depends on: #23018
[](https://gitpod.io/from-referrer/)
|
infinity-cosmos
t-category-theory
t-meta
|
525/33 |
Mathlib.lean,Mathlib/AlgebraicTopology/SimplexCategory/Basic.lean,Mathlib/AlgebraicTopology/SimplexCategory/Defs.lean,Mathlib/AlgebraicTopology/SimplicialObject/Basic.lean,Mathlib/Tactic.lean,Mathlib/Tactic/SimplexCategory.lean,Mathlib/Util/Superscript.lean,MathlibTest/SimplexCategory.lean,MathlibTest/SimplicialObject.lean,MathlibTest/superscript.lean,scripts/noshake.json |
11 |
22 |
['eric-wieser', 'gio256', 'github-actions', 'kim-em', 'mathlib4-dependent-issues-bot'] |
eric-wieser assignee:eric-wieser |
62-62024 2 months ago |
62-64665 2 months ago |
71-49805 71 days |
| 24266 |
plp127 author:plp127 |
feat(Order): `NoBotOrder α` implies `NoMinOrder α` under `IsDirected α (· ≥ ·)` |
Proves that `NoBotOrder α` implies `NoMinOrder α` under `IsDirected α (· ≥ ·)`, and also the dual theorem.
---
[](https://gitpod.io/from-referrer/)
|
t-order |
14/0 |
Mathlib/Order/Directed.lean |
1 |
4 |
['github-actions', 'plp127', 'urkud'] |
nobody |
61-31507 2 months ago |
72-42888 2 months ago |
72-42870 72 days |
| 23498 |
Ruben-VandeVelde author:Ruben-VandeVelde |
chore(Topology.MetricSpace.Lipschitz): stop depending on Topology.Algebra |
Noticed while playing with the new `directoryDependency` linter. Not sure if these could be proved without assuming the continuity of real multiplication.
Copyright from https://github.com/leanprover-community/mathlib3/pull/1921 and https://github.com/leanprover-community/mathlib4/pull/11840.
---
[](https://gitpod.io/from-referrer/)
|
t-topology |
60/34 |
Mathlib.lean,Mathlib/Analysis/Normed/Group/AddTorsor.lean,Mathlib/Analysis/NormedSpace/Multilinear/Basic.lean,Mathlib/Analysis/SpecialFunctions/Exp.lean,Mathlib/Topology/Algebra/MetricSpace/Lipschitz.lean,Mathlib/Topology/MetricSpace/Algebra.lean,Mathlib/Topology/MetricSpace/IsometricSMul.lean,Mathlib/Topology/MetricSpace/Lipschitz.lean,Mathlib/Topology/MetricSpace/PiNat.lean |
9 |
1 |
['github-actions'] |
nobody |
61-14644 2 months ago |
61-14644 2 months ago |
93-80765 93 days |
| 24527 |
matthewjasper author:matthewjasper |
feat(Topology/Algebra/Module): Add more theorems for IsModuleTopology |
Add theorems that surjective linear maps to the module topology are open.
Add IsModuleTopology instance for quotients.
Add IsModuleTopology instance for finite dimensional T2 vector spaces over a complete normed field and use it to shorten some proofs.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebra
t-topology
label:t-algebra$ |
48/24 |
Mathlib/Topology/Algebra/Module/FiniteDimension.lean,Mathlib/Topology/Algebra/Module/ModuleTopology.lean |
2 |
5 |
['erdOne', 'github-actions', 'matthewjasper'] |
nobody |
60-68167 1 month ago |
60-85237 1 month ago |
62-53534 62 days |
| 22231 |
pechersky author:pechersky |
feat(Algebra/Valued): `AdicExpansion` initial defns |
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
t-topology
label:t-algebra$ |
299/0 |
Mathlib.lean,Mathlib/Topology/Algebra/Valued/AdicExpansion.lean |
2 |
2 |
['Thmoas-Guan', 'github-actions'] |
nobody |
60-28266 1 month ago |
129-29908 4 months ago |
129-30031 129 days |
| 22464 |
adomani author:adomani |
feat(CI): declarations diff in Lean |
Rewrites the `declaration_diff` script in Lean.
You can see the effect of the new script in the testing branch #22497.
The new CI step runs in approximately 5mins, but is separate from the `build` step.
---
[](https://gitpod.io/from-referrer/)
|
CI |
151/0 |
.github/workflows/PR_summary_lean.yml,scripts/README.md,scripts/declarations_diff.lean,scripts/declarations_diff_lean_shell_glue.sh |
4 |
6 |
['bryangingechen', 'github-actions', 'grunweg'] |
robertylewis assignee:robertylewis |
56-15204 1 month ago |
120-65849 3 months ago |
120-65836 120 days |
| 23758 |
erdOne author:erdOne |
feat(Topology/Algebra): linearly topologized iff non-archimedian |
...for topological modules over compact rings or `ℤ`-finite rings
---
[](https://gitpod.io/from-referrer/)
|
large-import
t-algebra
t-topology
label:t-algebra$ |
138/3 |
Mathlib/LinearAlgebra/Span/Basic.lean,Mathlib/Topology/Algebra/LinearTopology.lean |
2 |
21 |
['ADedecker', 'AntoineChambert-Loir', 'erdOne', 'github-actions', 'grunweg'] |
ADedecker and AntoineChambert-Loir assignee:AntoineChambert-Loir assignee:ADedecker |
55-81076 1 month ago |
76-53520 2 months ago |
87-15936 87 days |
| 22196 |
xyzw12345 author:xyzw12345 |
feat: `lie_ring` tactic and `LieReduce` command |
In this PR, we implement a new tactic that reduces expressions in a `LieRing` to a normal form and checks whether they are equal, and a command which reduces the expression and displays the normal form.
The implementation of this tactic imitates the `ring` tactic, using the `Qq` package to implement a specific reduction algorithm, following the theory of Hall sets and Lyndon words. A reference for the algorithm can be found at, for example, [here](https://personal.math.ubc.ca/~cass/research/pdf/Free.pdf).
This project is the result of a workshop at Peking University, and @siddhartha-gadgil has helped us a lot on understanding the concepts in metaprogramming.
Edit: The changes are reverted to a point where only `AtomM` is used.
Co-authored-by:
@Thmoas-Guan <2300010733@stu.pku.edu.cn>
@yhtq <2100012990@stu.pku.edu.cn>
@Blackfeather007 <2100017455@stu.pku.edu.cn>
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-meta
|
816/2 |
Mathlib.lean,Mathlib/Algebra/Lie/Derivation/AdjointAction.lean,Mathlib/Tactic.lean,Mathlib/Tactic/LieAlgebra/Basic.lean,Mathlib/Tactic/LieAlgebra/LieRingNF.lean,Mathlib/Util/AtomM.lean,MathlibTest/lie_ring.lean,scripts/noshake.json |
8 |
16 |
['bryangingechen', 'eric-wieser', 'faenuccio', 'github-actions', 'grunweg', 'ocfnash', 'siddhartha-gadgil', 'xyzw12345'] |
robertylewis assignee:robertylewis |
54-84939 1 month ago |
130-30038 4 months ago |
130-30027 130 days |
| 24036 |
Louddy author:Louddy |
feat: add `HeightOneSpectrum.ofPrime` |
Add a definition relating elements of type `HeightOneSpectrum R` with the (nonzero) prime elements of the monoid with zero `Ideal R`. (Note the distinction between `Prime` and `Ideal.IsPrime`).
The documentation string is inspired from [Ideal.prime_iff_isPrime](https://leanprover-community.github.io/mathlib4_docs/Mathlib/RingTheory/DedekindDomain/Ideal.html#Ideal.prime_iff_isPrime).
This was discussed [#mathlib4 > Placing a definition in `DedekindDomain.Ideal` @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Placing.20a.20definition.20in.20.60DedekindDomain.2EIdeal.60/near/511647129).
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebra
label:t-algebra$ |
11/1 |
Mathlib/RingTheory/DedekindDomain/Ideal.lean |
1 |
5 |
['Louddy', 'Ruben-VandeVelde', 'github-actions'] |
Ruben-VandeVelde assignee:Ruben-VandeVelde |
54-83066 1 month ago |
79-84336 2 months ago |
79-84388 79 days |
| 11563 |
YaelDillies author:YaelDillies |
feat: `∑ i ∈ s with hi : p i, f i hi` syntax for big operators |
Define new notation for `Finset.sum`/`Finset.prod`. `∑ i ∈ s with hi : p i, f i hi` now is notation for `∑ i : s.filter p, f i.1 (mem_filter.1 i.2).2`.
---
- [x] depends on: #6795
Other notations we could have are
* `∑ hi : i ∈ s, f i hi` as notation for `∑ i : s, f i.1 i.2`
* `∑ hi : i ∈ s with p i, f i hi` as notation for `∑ i : s.filter p, f i.1 (mem_filter.1 i.2).1`
* `∑ hi : i ∈ s with hpi : p i, f i hi hpi` as notation for `∑ i : s.filter p, f i.1 (mem_filter.1 i.2).1 (mem_filter.1 i.2).2`
but Eric seems mildly unhappy about them.
[](https://gitpod.io/from-referrer/)
|
t-algebra
t-meta
label:t-algebra$ |
27/18 |
Mathlib/Algebra/BigOperators/Group/Finset/Defs.lean |
1 |
27 |
['YaelDillies', 'b-mehta', 'eric-wieser', 'github-actions', 'kbuzzard', 'kmill', 'leanprover-community-mathlib4-bot'] |
kmill assignee:kmill |
54-82979 1 month ago |
101-57653 3 months ago |
149-77339 149 days |
| 24351 |
eric-wieser author:eric-wieser |
feat: fderiv lemmas for `pow` |
This generalizes the lemmas about `fderiv fun x => f x ^ n` to work over arbitrary normed modules and algebras.
Following the convention set by the lemmas about `fderiv` and `*`, we use `'`d names for the non-commutative variants.
Moves:
- `deriv_pow''` -> `deriv_pow`
- `deriv_pow` -> `deriv_pow_field`
- `derivWithin_pow'` -> `derivWithin_pow_field'`
Deletions:
- `deriv_pow'`
---
[](https://gitpod.io/from-referrer/)
|
t-analysis |
282/82 |
Mathlib.lean,Mathlib/Analysis/Calculus/Deriv/Polynomial.lean,Mathlib/Analysis/Calculus/Deriv/Pow.lean,Mathlib/Analysis/Calculus/FDeriv/Mul.lean,Mathlib/Analysis/Calculus/FDeriv/Pow.lean,Mathlib/Analysis/Calculus/Taylor.lean,Mathlib/Analysis/Complex/Angle.lean,Mathlib/Analysis/Convex/SpecificFunctions/Deriv.lean,Mathlib/NumberTheory/ModularForms/JacobiTheta/TwoVariable.lean |
9 |
2 |
['github-actions', 'leanprover-community-bot-assistant'] |
nobody |
53-36968 1 month ago |
53-36968 1 month ago |
53-70413 53 days |
| 24602 |
xyzw12345 author:xyzw12345 |
feat(LinearAlgebra/SymmetricAlgebra): IsSymmetricAlgebra |
This PR is a part of #21539, which separates out the part about `IsSymmetricAlgebra`.
Co-authored-by: Raphael Douglas Giles @Raph-DG
Co-authored-by: Zhixuan Dai <22300180006@m.fudan.edu.cn>
Co-authored-by: Zhenyan Fu
Co-authored-by: Yiming Fu
- [ ] depends on: #21539
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
78/0 |
Mathlib/LinearAlgebra/SymmetricAlgebra/Basic.lean,Mathlib/LinearAlgebra/SymmetricAlgebra/Basis.lean |
2 |
5 |
['eric-wieser', 'github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
52-66832 1 month ago |
52-67084 1 month ago |
52-69023 52 days |
| 23238 |
YaelDillies author:YaelDillies |
feat: extended floor and ceil |
My motivation for this is to prove `ENat.toENNReal (⨆ i, f i) = ⨆ i, ENat.toENNReal (f i)` and `ENat.toENNReal (⨅ i, f i) = ⨅ i, ENat.toENNReal (f i)`. Kalle Kytölä independently needs this for his formalisation of statistical physics.
From MiscYD
---
- [x] depends on: #24781
- [x] depends on: #24782
See #15269 for a past attempt.
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
235/0 |
Mathlib.lean,Mathlib/Algebra/Order/Floor/Extended.lean |
2 |
24 |
['YaelDillies', 'b-mehta', 'eric-wieser', 'github-actions', 'kkytola', 'mathlib4-dependent-issues-bot', 'urkud'] |
nobody |
52-56240 1 month ago |
52-62191 1 month ago |
100-28010 100 days |
| 24184 |
YaelDillies author:YaelDillies |
feat: `[G : H]` notation for the index of `H : Subgroup G` |
This is a cute notation which I wrote for FLT. Not sure whether we want it in mathlib nor how to include `relindex` in the picture.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
RFC
label:t-algebra$ |
5/0 |
Mathlib/GroupTheory/Index.lean |
1 |
7 |
['YaelDillies', 'erdOne', 'github-actions', 'j-loreaux', 'kbuzzard'] |
nobody |
52-26233 1 month ago |
52-26233 1 month ago |
75-50351 75 days |
| 23497 |
chrisflav author:chrisflav |
chore(RingTheory/AdicCompletion/AsTensorProduct): golf using five lemma for modules |
---
- [x] depends on: #23496
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
30/81 |
Mathlib/RingTheory/AdicCompletion/AsTensorProduct.lean |
1 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
51-43971 1 month ago |
72-1928 2 months ago |
72-2751 72 days |
| 24829 |
urkud author:urkud |
fix(Topology/Homotopy): fix name&args order of `comp` |
`ContinuousMap.Homotopy.hcomp` used name & arguments order
that matches Mathlib's category theory conventions,
not topology conventions.
---
[](https://gitpod.io/from-referrer/)
|
t-topology |
30/19 |
Mathlib/Topology/Homotopy/Basic.lean,Mathlib/Topology/Homotopy/Contractible.lean,Mathlib/Topology/Homotopy/Equiv.lean,Mathlib/Topology/Homotopy/Lifting.lean |
4 |
5 |
['github-actions', 'grunweg', 'urkud'] |
nobody |
51-16348 1 month ago |
51-24988 1 month ago |
51-25040 51 days |
| 24752 |
MichaelStollBayreuth author:MichaelStollBayreuth |
perf(Data.Real.Sqrt): make Real.sqrt irreducible |
We try to see what happens if we make `Real.sqrt` irreducible.
There are cases where this makes unification *very* significantly faster, compare [#mathlib4 > Coercion triggers timeout @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Coercion.20triggers.20timeout/near/517177117).
---
[](https://gitpod.io/from-referrer/)
|
t-data |
1/0 |
Mathlib/Data/Real/Sqrt.lean |
1 |
18 |
['MichaelStollBayreuth', 'eric-wieser', 'github-actions', 'leanprover-bot'] |
nobody |
50-58675 1 month ago |
52-71997 1 month ago |
52-77472 52 days |
| 24870 |
smmercuri author:smmercuri |
feat: `Field`, `FiniteDimensional` and `Algebra.IsSeparable` instances for `WithAbs` |
---
[](https://gitpod.io/from-referrer/)
|
large-import
t-analysis
|
14/1 |
Mathlib/Analysis/Normed/Field/WithAbs.lean |
1 |
1 |
['github-actions'] |
nobody |
50-17730 1 month ago |
50-17737 1 month ago |
50-17879 50 days |
| 24872 |
smmercuri author:smmercuri |
feat: `apply` and `coe` results for `UniformSpace.Completion.mapRingHom` |
---
[](https://gitpod.io/from-referrer/)
|
t-topology |
9/0 |
Mathlib/Topology/Algebra/UniformRing.lean |
1 |
1 |
['github-actions'] |
nobody |
50-17509 1 month ago |
50-17509 1 month ago |
50-17555 50 days |
| 24883 |
madvorak author:madvorak |
chore(Data/Matrix): `Matrix.submatrix` naming convention |
I'm suggesting this change for the following reasons:
(1) managing expectations — `r_reindex` looks more like a propositional argument at first glance
(2) the original naming does not do justice to its motivation — there is nothing called `r` and `c` here — it would need to be `row_reindex` and `col_reindex` or something like that (if we wanted to use the convention for naming constants even tho we are naming a variable here)
---
Old version:
https://github.com/leanprover-community/mathlib4/pull/24135 |
t-data |
11/11 |
Mathlib/Data/Matrix/ConjTranspose.lean,Mathlib/Data/Matrix/Defs.lean |
2 |
1 |
['github-actions'] |
nobody |
50-13804 1 month ago |
50-13804 1 month ago |
50-13792 50 days |
| 24889 |
Kha author:Kha |
chore: do not include cache requests in build benchmark |
|
|
5/2 |
scripts/bench/temci-config.run.yml |
1 |
4 |
['Kha', 'github-actions', 'leanprover-bot'] |
nobody |
49-84123 1 month ago |
50-7558 1 month ago |
50-7539 50 days |
| 22153 |
smmercuri author:smmercuri |
feat: weak approximation theorems for infinite places of a number field |
The number field $K$ is dense in $\prod_v (K, v)$ and in the infinite adele ring $\prod_v K_v$, where $v$ ranges over the infinite places, $(K, v)$ denotes $K$ equipped with the topology induced by $v$, and $K_v$ is the completion of $K$ at $v$.
---
- [ ] depends on #22147
[](https://gitpod.io/from-referrer/)
|
t-algebra
t-analysis
t-number-theory
label:t-algebra$ |
543/2 |
Mathlib/Algebra/Order/AbsoluteValue/Basic.lean,Mathlib/Analysis/AbsoluteValue/Equivalence.lean,Mathlib/Analysis/Normed/Ring/WithAbs.lean,Mathlib/NumberTheory/NumberField/AdeleRing.lean,Mathlib/NumberTheory/NumberField/InfinitePlace/Basic.lean |
5 |
1 |
['github-actions'] |
nobody |
49-80751 1 month ago |
50-11654 1 month ago |
61-35234 61 days |
| 24311 |
YaelDillies author:YaelDillies |
chore: replace `Monoid.IsTorsionFree` with `IsMulTorsionFree` |
From Toric
---
- [x] depends on: #24312
[](https://gitpod.io/from-referrer/)
|
toric
t-algebra
label:t-algebra$ |
63/29 |
Mathlib/Algebra/Group/Torsion.lean,Mathlib/Combinatorics/Additive/CauchyDavenport.lean,Mathlib/GroupTheory/Order/Min.lean,Mathlib/GroupTheory/Torsion.lean,Mathlib/Topology/Instances/ZMultiples.lean |
5 |
5 |
['YaelDillies', 'b-mehta', 'github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
49-79278 1 month ago |
49-79278 1 month ago |
50-6206 50 days |
| 22043 |
YaelDillies author:YaelDillies |
chore: shortcut instance for `Neg ℤˣ` |
This lets us avoid importing `Ring` in downstream files (most of the effect is to come).
---
[](https://gitpod.io/from-referrer/)
|
file-removed
t-algebra
label:t-algebra$ |
20/47 |
Mathlib.lean,Mathlib/Algebra/GCDMonoid/Nat.lean,Mathlib/Algebra/Group/Int/Units.lean,Mathlib/Algebra/Order/Ring/Abs.lean,Mathlib/Algebra/Ring/Int/Units.lean,Mathlib/Algebra/Ring/NegOnePow.lean,Mathlib/Data/Fintype/Units.lean,Mathlib/Data/Int/AbsoluteValue.lean,Mathlib/Data/Int/Associated.lean,Mathlib/GroupTheory/HNNExtension.lean,Mathlib/NumberTheory/NumberField/Basic.lean,MathlibTest/Zify.lean |
12 |
15 |
['YaelDillies', 'eric-wieser', 'github-actions', 'j-loreaux', 'leanprover-community-bot-assistant', 'mathlib-bors'] |
nobody |
49-79021 1 month ago |
49-79021 1 month ago |
134-52055 134 days |
| 18379 |
oeb25 author:oeb25 |
feat(Topology/ENNReal): Add `ENNReal.tsum_biUnion` |
This adds infinite versions of `Finset.sum_biUnion` to `ENNReal`s.
---
One notable difference from the `Finset` version is that for `tsum` we have two ways for selecting the summands: `∑' x : ⋃ i ∈ S` or `∑' x : ⋃ i, t i`. This PR adds both.
I tried to extend this beyond `ENNReal`, but didn't find a clean way to do it.
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-topology
|
34/0 |
Mathlib/Data/Set/Lattice.lean,Mathlib/Data/Set/Pairwise/Lattice.lean,Mathlib/Topology/Instances/ENNReal/Lemmas.lean |
3 |
12 |
['github-actions', 'grunweg', 'j-loreaux', 'oeb25'] |
nobody |
49-1839 1 month ago |
49-2852 1 month ago |
151-51356 151 days |
| 24891 |
YaelDillies author:YaelDillies |
feat: `M ≃ₗ[R] (Fin (Module.finrank R M) → R)` for `M` a finite `R`-module |
From Toric
---
[](https://gitpod.io/from-referrer/)
|
toric
t-algebra
label:t-algebra$ |
13/3 |
Mathlib/LinearAlgebra/Dimension/Free.lean,Mathlib/LinearAlgebra/FreeModule/Basic.lean,Mathlib/LinearAlgebra/FreeModule/Finite/Basic.lean |
3 |
9 |
['YaelDillies', 'erdOne', 'eric-wieser', 'github-actions'] |
nobody |
48-66125 1 month ago |
49-75956 1 month ago |
50-6476 50 days |
| 19668 |
YaelDillies author:YaelDillies |
refactor: define `≤`/`<` on `WithBot`/`WithTop` by induction |
The motivation for this change is that it is really confusing to run `intro r s shouldnthaveintroedthat` on a goal of the form `∀ r s : ℝ≥0∞, r ≤ s` and get the nonsense-looking goal `r = ↑shouldnthaveintroedthat → ∃ b : α, s = ↑b ∧ shouldnthaveintroedthat ≤ b⟩` instead of an error, and similarly when destructing something of the form `∃ r s : ℝ≥0∞, r < s`.
Furthermore, I suspect this improves performance.
---
- [x] depends on: #20317
- [x] depends on: #20318
- [x] depends on: #21274
- [x] depends on: #22109
[](https://gitpod.io/from-referrer/)
|
t-order |
65/48 |
Mathlib/Analysis/Analytic/OfScalars.lean,Mathlib/Analysis/Oscillation.lean,Mathlib/Data/Finset/Lattice/Fold.lean,Mathlib/Data/Finset/Max.lean,Mathlib/LinearAlgebra/Eigenspace/Triangularizable.lean,Mathlib/MeasureTheory/Integral/Lebesgue/Countable.lean,Mathlib/MeasureTheory/Measure/LevyProkhorovMetric.lean,Mathlib/Order/Interval/Basic.lean,Mathlib/Order/Interval/Set/WithBotTop.lean,Mathlib/Order/WithBot.lean,Mathlib/Probability/Moments/Variance.lean,Mathlib/RingTheory/PowerBasis.lean,Mathlib/Topology/MetricSpace/Holder.lean,Mathlib/Topology/MetricSpace/HolderNorm.lean |
14 |
20 |
['YaelDillies', 'b-mehta', 'eric-wieser', 'github-actions', 'leanprover-bot', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'urkud'] |
nobody |
47-12748 1 month ago |
47-12769 1 month ago |
97-5321 97 days |
| 24533 |
robertmaxton42 author:robertmaxton42 |
feat (ULift): conjugation by ULift.up/down, misc cast/heq lemmas |
* Adds the convenience def `ULift.conj x := `down (f (up x))`, and corresponding basic lemmas
* Adds lemmas showing that `ULift.up` and `.down` commute with casts and preserve `HEq`.
---
[](https://gitpod.io/from-referrer/)
|
t-data |
31/0 |
Mathlib/Data/ULift.lean |
1 |
14 |
['eric-wieser', 'github-actions', 'robertmaxton42'] |
nobody |
46-7301 1 month ago |
62-6941 2 months ago |
62-14854 62 days |
| 19796 |
peakpoint author:peakpoint |
feat: L'Hopital's rule from within a convex set |
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-analysis
|
190/19 |
Mathlib/Algebra/Polynomial/Module/Basic.lean,Mathlib/Analysis/Calculus/LHopital.lean,Mathlib/Analysis/Convex/Topology.lean,Mathlib/Geometry/Manifold/Instances/Real.lean,Mathlib/Order/Interval/Set/Basic.lean |
5 |
14 |
['RemyDegenne', 'github-actions', 'leanprover-community-bot-assistant', 'peakpoint', 'sgouezel'] |
sgouezel assignee:sgouezel |
45-47580 1 month ago |
45-47580 1 month ago |
78-84262 78 days |
| 22300 |
chrisflav author:chrisflav |
feat(RingTheory/GoingDown): lift `LTSeries` of primes |
Inductive version of `Ideal.exists_ideal_lt_liesOver_of_lt`.
Co-authored by: Sihan Su
Co-authored by: Yi Song
---
- [x] depends on: #22299
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
27/0 |
Mathlib/RingTheory/Ideal/GoingDown.lean |
1 |
3 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
44-64497 1 month ago |
44-64621 1 month ago |
44-68084 44 days |
| 22151 |
alreadydone author:alreadydone |
feat(RingTheory): a semiprimary ring is Noetherian/Artinian iff its Jacobson radical is fg |
A key fact used is `Module.FG.smul`: if `I` is a two-sided ideal of `R` that is f.g. as a left ideal and `N` is a f.g. `R`-module, then `I • M` is also a f.g. `R`-module.
Many lemmas about coprimality of ideals are also generalized to the noncommutative, two-sided setting.
---
- [x] depends on: #21904
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
215/155 |
Mathlib/Algebra/Algebra/Operations.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Affine/Point.lean,Mathlib/RingTheory/Extension/Basic.lean,Mathlib/RingTheory/Finiteness/Basic.lean,Mathlib/RingTheory/Finiteness/Ideal.lean,Mathlib/RingTheory/HopkinsLevitzki.lean,Mathlib/RingTheory/Ideal/Maps.lean,Mathlib/RingTheory/Ideal/Operations.lean |
8 |
7 |
['alreadydone', 'github-actions', 'leanprover-bot', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
44-7408 1 month ago |
44-7563 1 month ago |
120-63090 120 days |
| 22631 |
Thmoas-Guan author:Thmoas-Guan |
feat(Algebra): define associated graded structure for abelian group |
In this PR we define the associated graded structure for abelian group when given a filtration and only give some basic lemmas about it.
Further results would be given in #20913
---
- [x] depends on: #24071
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
155/0 |
Mathlib.lean,Mathlib/RingTheory/FilteredAlgebra/AssociatedGraded.lean |
2 |
17 |
['AntoineChambert-Loir', 'Thmoas-Guan', 'eric-wieser', 'github-actions', 'kbuzzard', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
44-3754 1 month ago |
44-3774 1 month ago |
118-48354 118 days |
| 25044 |
alreadydone author:alreadydone |
feat(Topology/Algebra): `Homeomorph` version of `unitsEquivNeZero` |
also add `Topology.IsEmbedding.homeomorphImage`: a set is homeomorphic to its image under any embedding.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
t-topology
label:t-algebra$ |
51/28 |
Mathlib/Topology/Algebra/GroupWithZero.lean,Mathlib/Topology/Homeomorph/Lemmas.lean |
2 |
1 |
['github-actions'] |
nobody |
43-82900 1 month ago |
44-755 1 month ago |
44-738 44 days |
| 25042 |
alreadydone author:alreadydone |
feat(Topology): restriction/extension of Trivialization and composition with Homeomorph |
---
- [x] depends on: #25041
[](https://gitpod.io/from-referrer/)
|
t-topology |
148/2 |
Mathlib/Topology/FiberBundle/Trivialization.lean,Mathlib/Topology/Maps/Basic.lean |
2 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
43-65329 1 month ago |
43-73084 1 month ago |
43-74463 43 days |
| 24333 |
xcloudyunx author:xcloudyunx |
feat(Combinatorics/SimpleGraph): cycle graph implementation for generic vertex types |
The existing `cycleGraph` implementation under Combinatorics/SimpleGraph/Circulant.lean only operates over `Fin n`. This PR implements a cycle graph implementation over any generic vertex type.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-combinatorics
|
187/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Cycle.lean |
2 |
29 |
['IvanRenison', 'github-actions'] |
kmill assignee:kmill |
42-36718 1 month ago |
70-34275 2 months ago |
70-34327 70 days |
| 16074 |
Rida-Hamadani author:Rida-Hamadani |
feat: combinatorial maps and planar graphs |
We define combinatorial maps, then we define planar graph using combinatorial maps.
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
243/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Planar.lean,Mathlib/Data/CombinatorialMap.lean |
3 |
27 |
['Parcly-Taxel', 'Rida-Hamadani', 'github-actions', 'lambda-fairy', 'leanprover-community-bot-assistant'] |
kmill assignee:kmill |
41-79058 1 month ago |
67-4260 2 months ago |
70-78089 70 days |
| 22039 |
YaelDillies author:YaelDillies |
feat: simproc for computing `Finset.Ixx` of natural numbers |
---
- [x] depends on: #22290
- [x] depends on: #22559
[](https://gitpod.io/from-referrer/)
|
large-import
t-meta
|
315/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Simproc/FinsetInterval.lean,Mathlib/Util/Qq.lean |
4 |
59 |
['FLDutchmann', 'Paul-Lez', 'YaelDillies', 'eric-wieser', 'github-actions', 'grunweg', 'kim-em', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'urkud'] |
eric-wieser assignee:eric-wieser |
41-78909 1 month ago |
78-3895 2 months ago |
133-51015 133 days |
| 25101 |
erdOne author:erdOne |
feat(AlgebraicGeometry): building morphisms into Proj |
---
[](https://gitpod.io/from-referrer/)
|
t-algebraic-geometry |
231/3 |
Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Basic.lean,Mathlib/AlgebraicGeometry/Restrict.lean,Mathlib/AlgebraicGeometry/Scheme.lean,Mathlib/RingTheory/GradedAlgebra/HomogeneousLocalization.lean |
4 |
6 |
['erdOne', 'github-actions', 'joelriou'] |
nobody |
41-47017 1 month ago |
41-47017 1 month ago |
42-26705 42 days |
| 25123 |
eric-wieser author:eric-wieser |
feat: add rfl lemmas for monoidal categories |
Making these `simp` opens a can of worms best left to #24823
`simps` would generate bad names here.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
111/0 |
Mathlib/Algebra/Category/AlgCat/Monoidal.lean,Mathlib/Algebra/Category/ModuleCat/Monoidal/Basic.lean,Mathlib/LinearAlgebra/QuadraticForm/QuadraticModuleCat/Monoidal.lean |
3 |
1 |
['github-actions'] |
nobody |
41-36525 1 month ago |
41-36525 1 month ago |
41-36577 41 days |
| 23365 |
vasnesterov author:vasnesterov |
feat(Tactic/Simproc): nested quantifiers in `existsAndEq` |
Generalize the `existsAndEq` simproc to nested existential quantifiers.
For example `∃ a, p a ∧ ∃ b, a = f b ∧ q b` now simplifies to `∃ b, p (f b) ∧ q b`.
---
[](https://gitpod.io/from-referrer/)
|
large-import
t-meta
|
440/73 |
Mathlib/Tactic/Simproc/ExistsAndEq.lean,MathlibTest/Simproc/ExistsAndEq.lean |
2 |
41 |
['JovanGerb', 'b-mehta', 'eric-wieser', 'github-actions', 'grunweg', 'kim-em', 'leanprover-bot', 'leanprover-community-mathlib4-bot', 'vasnesterov'] |
nobody |
41-5001 1 month ago |
91-42486 3 months ago |
96-69125 96 days |
| 24528 |
chrisflav author:chrisflav |
feat(AlgebraicGeometry): directed covers |
Directed covers are covers, where every intersection can be covered by a component of the cover. For open covers this is equivalent to the images forming a basis of the topology.
If a cover is directed, the compatibility conditions for gluing become easier, because only compatibility with the transition maps needs to be checked.
---
[](https://gitpod.io/from-referrer/)
|
t-algebraic-geometry |
233/0 |
Mathlib.lean,Mathlib/AlgebraicGeometry/Cover/Directed.lean |
2 |
6 |
['chrisflav', 'erdOne', 'github-actions', 'joelriou', 'leanprover-community-bot-assistant'] |
nobody |
40-80391 1 month ago |
40-80458 1 month ago |
57-65480 57 days |
| 25069 |
erdOne author:erdOne |
feat(EllipticCurve): rational points of singular nodal cubics |
---
[](https://gitpod.io/from-referrer/)
|
t-algebraic-geometry |
251/0 |
Mathlib.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Affine/Basic.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Singular/Node.lean |
3 |
11 |
['Multramate', 'acmepjz', 'erdOne', 'github-actions'] |
nobody |
40-71731 1 month ago |
43-32233 1 month ago |
43-32289 43 days |
| 25071 |
erdOne author:erdOne |
feat(EllipticCurve): basic API for singular cubics |
---
[](https://gitpod.io/from-referrer/)
|
t-algebraic-geometry |
320/0 |
Mathlib.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Singular/Basic.lean,Mathlib/AlgebraicGeometry/EllipticCurve/VariableChange.lean |
3 |
34 |
['Multramate', 'acmepjz', 'erdOne', 'github-actions'] |
nobody |
40-28567 1 month ago |
43-30390 1 month ago |
43-30445 43 days |
| 24103 |
plp127 author:plp127 |
feat(Topology/UniformSpace/OfCompactT2): generalize theorem |
Generalize `uniformSpaceOfCompactT2` to `uniformSpaceOfCompactR1`.
---
- [ ] depends on: #24098
[](https://gitpod.io/from-referrer/)
|
t-topology |
48/24 |
Mathlib/Topology/Separation/Regular.lean,Mathlib/Topology/UniformSpace/OfCompactT2.lean |
2 |
3 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
38-57986 1 month ago |
38-58008 1 month ago |
70-47965 70 days |
| 24050 |
Paul-Lez author:Paul-Lez |
feat(Data/Finsupp/Pointwise): generalise pointwise scalar multiplication of finsupps |
As pointed out by @eric-wieser, this creates an instance diamond with `SMul (α → β) (α →₀ (α → β))`
---
[](https://gitpod.io/from-referrer/)
|
t-data |
7/4 |
Mathlib/Data/Finsupp/Pointwise.lean |
1 |
6 |
['Paul-Lez', 'eric-wieser', 'github-actions'] |
nobody |
37-65410 1 month ago |
79-53708 2 months ago |
79-53758 79 days |
| 25070 |
erdOne author:erdOne |
feat(EllipticCurve): rational points on singular cuspidal cubics |
---
[](https://gitpod.io/from-referrer/)
|
t-algebraic-geometry |
123/0 |
Mathlib.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Singular/Cusp.lean |
2 |
9 |
['Multramate', 'acmepjz', 'erdOne', 'github-actions', 'kckennylau'] |
nobody |
37-55865 1 month ago |
43-32266 1 month ago |
43-32262 43 days |
| 22655 |
YaelDillies author:YaelDillies |
refactor: make use of `FunLike` for `Submonoid.LocalizationMap` |
From Toric
---
[](https://gitpod.io/from-referrer/)
|
toric
t-algebra
label:t-algebra$ |
161/146 |
Mathlib/GroupTheory/MonoidLocalization/Away.lean,Mathlib/GroupTheory/MonoidLocalization/Basic.lean,Mathlib/GroupTheory/MonoidLocalization/DivPairs.lean,Mathlib/GroupTheory/MonoidLocalization/MonoidWithZero.lean,Mathlib/RingTheory/Localization/Defs.lean,Mathlib/RingTheory/Valuation/ExtendToLocalization.lean |
6 |
3 |
['github-actions', 'leanprover-community-bot-assistant'] |
ericrbg assignee:ericrbg |
36-81536 1 month ago |
36-81553 1 month ago |
115-16901 115 days |
| 23684 |
alreadydone author:alreadydone |
feat(RingTheory): integral extensions of comm. rings are local homs |
---
The import increase only affects one file so I hope it's okay.
[](https://gitpod.io/from-referrer/)
|
large-import
t-algebra
label:t-algebra$ |
57/65 |
Mathlib/Algebra/Field/Equiv.lean,Mathlib/Algebra/Group/Invertible/Basic.lean,Mathlib/Algebra/GroupWithZero/Units/Basic.lean,Mathlib/AlgebraicGeometry/Morphisms/Proper.lean,Mathlib/FieldTheory/LinearDisjoint.lean,Mathlib/LinearAlgebra/Dimension/Localization.lean,Mathlib/RingTheory/Artinian/Ring.lean,Mathlib/RingTheory/IntegralClosure/Algebra/Defs.lean,Mathlib/RingTheory/IntegralClosure/IsIntegralClosure/Basic.lean,Mathlib/RingTheory/LinearDisjoint.lean,Mathlib/RingTheory/Localization/FractionRing.lean,Mathlib/RingTheory/Localization/Integral.lean,Mathlib/RingTheory/SimpleRing/Field.lean |
13 |
4 |
['alreadydone', 'github-actions', 'xroblot'] |
nobody |
36-61651 1 month ago |
89-40643 2 months ago |
89-40661 89 days |
| 25225 |
xcloudyunx author:xcloudyunx |
feat(Combinatorics/SimpleGraph): Eulerian walk in connected graph contains all vertices |
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-combinatorics
|
16/0 |
Mathlib/Combinatorics/SimpleGraph/Trails.lean |
1 |
3 |
['IvanRenison', 'github-actions'] |
nobody |
36-51548 1 month ago |
37-42960 1 month ago |
37-43015 37 days |
| 25248 |
xcloudyunx author:xcloudyunx |
feat(Combinatorics/SimpleGraph): Add Subgraph.inclusion_edge_apply_coe and inclusion_edgeSet_apply_coe |
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-combinatorics
|
12/0 |
Mathlib/Combinatorics/SimpleGraph/Subgraph.lean |
1 |
1 |
['github-actions'] |
nobody |
36-45190 1 month ago |
36-45191 1 month ago |
36-45244 36 days |
| 25238 |
Hagb author:Hagb |
feat(Tactic/ComputeDegree): add support for scalar multiplication with different types |
It would be able to deal with `a • (X : R[X])` where `a : S` is in a different type `S` with `[SMulZeroClass S R]`.
---
- [x] depends on: #25237
[](https://gitpod.io/from-referrer/)
|
new-contributor |
17/5 |
Mathlib/Tactic/ComputeDegree.lean,MathlibTest/ComputeDegree.lean |
2 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
36-25180 1 month ago |
36-49623 1 month ago |
36-51524 36 days |
| 25153 |
eric-wieser author:eric-wieser |
feat(Algebra/ModEq): a lemma about `[PMOD (n • p)]` |
This ultimately didn't end up very useful to me, but I think it's still a nice result.
---
[](https://gitpod.io/from-referrer/)
|
t-number-theory |
20/0 |
Mathlib/Algebra/ModEq.lean |
1 |
3 |
['YaelDillies', 'eric-wieser', 'github-actions'] |
nobody |
36-16738 1 month ago |
39-68877 1 month ago |
39-68859 39 days |
| 24804 |
Moises-Herradon-Cueto author:Moises-Herradon-Cueto |
feat(CategoryTheory/Limits/Preserves/Shapes): show that if a functor preserves limits, so does `Over.post` |
If a functor `F` preserves limits (of a certain shape, finite, or of a certain size), then so does the induced functor on `Over` categories.
From Toric
Co-authored-by: Yaël Dillies
---
[](https://gitpod.io/from-referrer/)
|
toric
new-contributor
t-category-theory
|
125/0 |
Mathlib.lean,Mathlib/CategoryTheory/Limits/Preserves/Shapes/Over.lean,Mathlib/CategoryTheory/WithTerminal/Basic.lean |
3 |
17 |
['Moises-Herradon-Cueto', 'YaelDillies', 'erdOne', 'github-actions', 'joelriou'] |
nobody |
36-11416 1 month ago |
36-73758 1 month ago |
42-78152 42 days |
| 25179 |
YaelDillies author:YaelDillies |
feat: `#track_sorry`, a command to find usage of `sorry` |
`#track_sorry foo` returns a non-sorry-free declaration `bar` which `foo` depends on, if such `bar` exists.
Such a command is a recurrent need of the community, see eg [here](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Hunting.20down.20axioms/with/495448595) most recently.
From Toric
Co-authored-by: Henrik Böving
---
An alternative implementation was provided in [#Is there code for X? > ✔ Finding usages of `sorry` in external code @ 💬](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/.E2.9C.94.20Finding.20usages.20of.20.60sorry.60.20in.20external.20code/near/430509619) by @kmill. I prefer the current one because it only prints something for uses of `sorry` and not the other three standard axioms.
[](https://gitpod.io/from-referrer/)
|
toric
t-meta
|
71/0 |
Mathlib.lean,Mathlib/Util/TrackSorry.lean |
2 |
11 |
['YaelDillies', 'eric-wieser', 'github-actions', 'kmill'] |
nobody |
36-1525 1 month ago |
39-10340 1 month ago |
39-10392 39 days |
| 25271 |
YaelDillies author:YaelDillies |
feat: promote an `AlgEquiv` preserving `counit` and `comul` to a `BialgEquiv` |
From Toric
---
[](https://gitpod.io/from-referrer/)
|
toric
t-algebra
label:t-algebra$ |
38/24 |
Mathlib/Algebra/Algebra/Equiv.lean,Mathlib/Algebra/Algebra/Hom.lean,Mathlib/RingTheory/Bialgebra/Equiv.lean |
3 |
1 |
['github-actions'] |
nobody |
35-61255 1 month ago |
35-64904 1 month ago |
35-64897 35 days |
| 24412 |
pechersky author:pechersky |
feat(UniformSpace/Ultra/Constructions): IsUltraUniformity.{bot,top} |
---
[](https://gitpod.io/from-referrer/)
|
large-import
t-topology
|
29/0 |
Mathlib/Order/Filter/Bases/Basic.lean,Mathlib/Topology/UniformSpace/Defs.lean,Mathlib/Topology/UniformSpace/Ultra/Basic.lean,Mathlib/Topology/UniformSpace/Ultra/Constructions.lean |
4 |
6 |
['github-actions', 'pechersky', 'urkud'] |
urkud assignee:urkud |
35-32529 1 month ago |
35-35739 1 month ago |
60-32697 60 days |
| 25273 |
YaelDillies author:YaelDillies |
feat: `Finsupp.linearCombination MonoidAlgebra.of = id` |
From Toric
---
[](https://gitpod.io/from-referrer/)
|
large-import
t-algebra
label:t-algebra$ |
8/1 |
Mathlib/Algebra/MonoidAlgebra/Defs.lean |
1 |
4 |
['YaelDillies', 'eric-wieser', 'github-actions'] |
nobody |
35-8537 1 month ago |
35-63077 1 month ago |
35-63124 35 days |
| 24095 |
lecopivo author:lecopivo |
feat: `fun_prop` for Is(Bounded)LinearMap + notation `fun x ↦L[R] f x` |
Sets up `fun_prop` for `IsLinearMap` and `IsBoundedLinearMap` also adds notation `fun x ↦ₗ[R] f x` and `fun x ↦L[R] f x` to write bundled versions like lambda function instead of the currently used pointfree notation. |
large-import
t-algebra
label:t-algebra$ |
352/22 |
Mathlib.lean,Mathlib/Algebra/Algebra/Bilinear.lean,Mathlib/Algebra/Module/LinearMap/Defs.lean,Mathlib/Algebra/Module/LinearMap/End.lean,Mathlib/Algebra/Module/LinearMap/Pi.lean,Mathlib/Algebra/Module/LinearMap/Prod.lean,Mathlib/Analysis/Normed/Operator/BoundedLinearMaps.lean,scripts/noshake.json |
8 |
22 |
['eric-wieser', 'github-actions', 'lecopivo'] |
nobody |
34-61927 1 month ago |
34-61927 1 month ago |
34-80310 34 days |
| 21950 |
erdOne author:erdOne |
feat(NumberTheory/Padics): the completion of `ℚ` at a finite place is `ℚ_[p]` |
---
[](https://gitpod.io/from-referrer/)
|
t-number-theory |
253/1 |
Mathlib.lean,Mathlib/Algebra/GroupWithZero/WithZero.lean,Mathlib/NumberTheory/Padics/HeightOneSpectrum.lean,Mathlib/NumberTheory/Padics/PadicNumbers.lean,Mathlib/Topology/Algebra/Valued/WithVal.lean,Mathlib/Topology/Algebra/WithZeroMulInt.lean,Mathlib/Topology/Algebra/WithZeroTopology.lean |
7 |
22 |
['Ruben-VandeVelde', 'erdOne', 'github-actions', 'leanprover-community-bot-assistant', 'pechersky', 'smmercuri', 'xroblot'] |
nobody |
33-37340 1 month ago |
33-37340 1 month ago |
74-76334 74 days |
| 25322 |
thorimur author:thorimur |
style: use simplex notation (`⦋n⦌`) where possible |
`StandardSimplex.mk n` is replaced with `⦋n⦌` where possible (except in notation and macros, which are left untouched). This includes opening `Simplicial` in two files. Also, outdated and unused `local notation` `[n]` for `StandardSimplex.mk n` is removed.
---
[](https://gitpod.io/from-referrer/)
|
t-topology |
38/39 |
Mathlib/AlgebraicTopology/CechNerve.lean,Mathlib/AlgebraicTopology/MooreComplex.lean,Mathlib/AlgebraicTopology/SimplexCategory/Basic.lean,Mathlib/AlgebraicTopology/SimplicialObject/Basic.lean,Mathlib/AlgebraicTopology/SimplicialSet/Coskeletal.lean,Mathlib/AlgebraicTopology/SimplicialSet/NerveAdjunction.lean,Mathlib/AlgebraicTopology/SimplicialSet/StdSimplex.lean |
7 |
1 |
['github-actions'] |
nobody |
33-34377 1 month ago |
33-44956 1 month ago |
33-45007 33 days |
| 25267 |
YaelDillies author:YaelDillies |
feat: `counit (antipode a) = counit a` |
and unsimp `sum_antipode_mul_eq_algebraMap_counit`/`sum_mul_antipode_eq_algebraMap_counit` since they are annoying lemmas to fight against.
From Toric
Co-authored-by: Patrick Massot
---
[](https://gitpod.io/from-referrer/)
|
toric
t-algebra
label:t-algebra$ |
51/18 |
Mathlib/RingTheory/Coalgebra/Basic.lean,Mathlib/RingTheory/HopfAlgebra/Basic.lean,Mathlib/RingTheory/HopfAlgebra/MonoidAlgebra.lean |
3 |
9 |
['YaelDillies', 'erdOne', 'eric-wieser', 'github-actions', 'leanprover-community-bot-assistant'] |
nobody |
32-66320 1 month ago |
32-66339 1 month ago |
35-65069 35 days |
| 25284 |
alreadydone author:alreadydone |
feat(LinearAlgebra/Contraction): bijectivity of `dualTensorHom` + generalize to CommSemiring |
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
168/44 |
Mathlib/Data/Finsupp/Defs.lean,Mathlib/LinearAlgebra/Contraction.lean,Mathlib/LinearAlgebra/Pi.lean,Mathlib/LinearAlgebra/Trace.lean,Mathlib/RingTheory/Finiteness/Finsupp.lean |
5 |
5 |
['alreadydone', 'eric-wieser', 'github-actions', 'leanprover-bot'] |
nobody |
32-45766 1 month ago |
35-48138 1 month ago |
35-48121 35 days |
| 25343 |
plp127 author:plp127 |
docs(Topology/Perfect): Mention dense-in-itself |
The file `Mathlib/Topology/Perfect` defines a "nonstandard" predicate `Preperfect C` to mean that every point of `C` is an accumulation point of `C`. This property already has a name, it is called [dense-in-itself](https://en.wikipedia.org/wiki/Dense-in-itself). This PR adds this name to the docs.
---
[](https://gitpod.io/from-referrer/)
|
t-topology
documentation
|
7/7 |
Mathlib/Topology/Perfect.lean |
1 |
1 |
['github-actions'] |
nobody |
31-82153 1 month ago |
31-82231 1 month ago |
31-82214 31 days |
| 25337 |
alreadydone author:alreadydone |
feat(RingTheory): invertible modules and Picard group |
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
535/0 |
Mathlib.lean,Mathlib/RingTheory/Finiteness/Cardinality.lean,Mathlib/RingTheory/PicardGroup.lean,docs/references.bib |
4 |
37 |
['alreadydone', 'erdOne', 'github-actions', 'kckennylau'] |
nobody |
31-30590 1 month ago |
32-40312 1 month ago |
32-40301 32 days |
| 22069 |
Raph-DG author:Raph-DG |
feat(LinearMap): Added lemmas relating kernels of linear maps to Submodule.map |
Added the lemma ne_map_or_ne_kernel_inter_of_lt stating that if A < B as submodules, then for any linear map f, `ker f ⊓ A ≠ ker f ⊓ B ∨ Submodule.map f A ≠ Submodule.map f B`. We also prove the corollaries ker_inter_mono_of_map_eq and map_mono_of_ker_inter_eq.
Co-authored-by: Raphael Douglas Giles (raphaeldouglasgiles@gmail.com)
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebra
label:t-algebra$ |
30/0 |
Mathlib/LinearAlgebra/Span/Basic.lean |
1 |
21 |
['Paul-Lez', 'Raph-DG', 'github-actions', 'j-loreaux', 'mattrobball'] |
mattrobball assignee:mattrobball |
30-85924 1 month ago |
30-85924 1 month ago |
133-39213 133 days |
| 24884 |
smmercuri author:smmercuri |
feat: `ramificationIdx` for `NumberField.InfinitePlace` |
---
- [x] depends on: #24880
[](https://gitpod.io/from-referrer/)
|
t-number-theory |
38/0 |
Mathlib/NumberTheory/NumberField/InfinitePlace/Ramification.lean |
1 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'riccardobrasca'] |
nobody |
29-74244 29 days ago |
44-78962 1 month ago |
44-79308 44 days |
| 24875 |
smmercuri author:smmercuri |
feat: injectivity of `InfinitePlace.embedding` |
---
[](https://gitpod.io/from-referrer/)
|
t-number-theory |
19/0 |
Mathlib/NumberTheory/NumberField/InfinitePlace/Basic.lean |
1 |
6 |
['Ruben-VandeVelde', 'github-actions', 'riccardobrasca', 'smmercuri', 'xroblot'] |
nobody |
29-3444 29 days ago |
50-17034 1 month ago |
50-17086 50 days |
| 25410 |
JovanGerb author:JovanGerb |
chore: remove some duplicate instances |
I have a program that finds duplicate instances, as described at [#mathlib4 > duplicate declarations](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/duplicate.20declarations/with/518941841)
This PR is a start at fixing these in Mathlib.
---
[](https://gitpod.io/from-referrer/)
|
|
30/131 |
Mathlib/Algebra/Category/Grp/Adjunctions.lean,Mathlib/Algebra/Category/ModuleCat/Basic.lean,Mathlib/Algebra/Group/Fin/Basic.lean,Mathlib/Algebra/Homology/Embedding/IsSupported.lean,Mathlib/Algebra/Order/Hom/Monoid.lean,Mathlib/Algebra/Ring/Divisibility/Basic.lean,Mathlib/Algebra/Ring/Subsemiring/Basic.lean,Mathlib/AlgebraicGeometry/Limits.lean,Mathlib/AlgebraicGeometry/OpenImmersion.lean,Mathlib/CategoryTheory/Countable.lean,Mathlib/CategoryTheory/EffectiveEpi/Preserves.lean,Mathlib/CategoryTheory/ObjectProperty/FullSubcategory.lean,Mathlib/Computability/TuringDegree.lean,Mathlib/Data/ENat/Basic.lean,Mathlib/Data/Fintype/EquivFin.lean,Mathlib/Data/List/TakeDrop.lean,Mathlib/Data/Matroid/Constructions.lean,Mathlib/Data/Nat/Basic.lean,Mathlib/Data/Option/Defs.lean,Mathlib/Data/Ordering/Basic.lean,Mathlib/Data/Sign.lean,Mathlib/GroupTheory/Perm/Sign.lean,Mathlib/GroupTheory/Solvable.lean,Mathlib/Logic/Embedding/Basic.lean,Mathlib/Logic/Equiv/Fin/Basic.lean,Mathlib/ModelTheory/Basic.lean,Mathlib/Order/Monotone/Basic.lean,Mathlib/SetTheory/Cardinal/Basic.lean,Mathlib/Tactic/Polyrith.lean,Mathlib/Topology/Compactness/Lindelof.lean |
30 |
9 |
['JovanGerb', 'adomani', 'eric-wieser', 'github-actions'] |
nobody |
28-86268 28 days ago |
29-45521 29 days ago |
29-45503 29 days |
| 25401 |
digama0 author:digama0 |
feat(Util): SuppressSorry option |
See also leanprover/lean4#8611 and [#lean4 > Silent sorry @ 💬](https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/Silent.20sorry/near/503537964). This is a stop-gap solution while leanprover/lean4#8611 is underway, but it works about as well as any other built in option. Hooking declaration elaborators turns out to be a very powerful technique.
---
[](https://gitpod.io/from-referrer/)
|
t-meta |
342/0 |
Mathlib.lean,Mathlib/Util/CommandElabHook.lean,Mathlib/Util/SuppressSorry.lean,MathlibTest/suppressSorry.lean |
4 |
13 |
['digama0', 'eric-wieser', 'github-actions'] |
nobody |
28-36583 28 days ago |
28-60917 28 days ago |
29-71265 29 days |
| 25453 |
JovanGerb author:JovanGerb |
perf(Algebra/Homology/HomotopyCategory): use explicit universe parameter in `Category` |
As we have seen before, writing `Category.{v}` instead of `Category` avoids a nasty universe level metavariable, and this helps to speed up unification. The changes in this PR are somewhat arbitrary, but it serves as an example for this principle.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
9/6 |
Mathlib/Algebra/Homology/HomotopyCategory/DegreewiseSplit.lean,Mathlib/Algebra/Homology/HomotopyCategory/MappingCone.lean,Mathlib/Algebra/Homology/HomotopyCategory/Triangulated.lean |
3 |
5 |
['JovanGerb', 'github-actions', 'leanprover-bot'] |
nobody |
28-1171 28 days ago |
28-55219 28 days ago |
28-55271 28 days |
| 25265 |
FMLJohn author:FMLJohn |
feat(Order/SupClosed): `compl_image_latticeClosure` and `compl_image_latticeClosure_eq_of_compl_image_eq_self` |
The main results in this pull request are:
1. `compl_image_latticeClosure`: given any Boolean algebra `α` and `s : Set α`, `compl '' latticeClosure s` is the same as `latticeClosure (compl '' s)`;
2. `compl_image_latticeClosure_eq_of_compl_image_eq_self`: given any Boolean algebra `α` and `s : Set α` such that `compl '' s = s`, we have `compl '' latticeClosure s = latticeClosure s`.
---
[](https://gitpod.io/from-referrer/) |
maintainer-merge
t-order
|
59/1 |
Mathlib/Order/SupClosed.lean |
1 |
8 |
['FMLJohn', 'YaelDillies', 'github-actions'] |
bryangingechen assignee:bryangingechen |
27-76995 27 days ago |
30-56967 1 month ago |
34-66585 34 days |
| 25483 |
VTrelat author:VTrelat |
chore(Data/Set/Prod, SetTheory/ZFC/Basic): add theorem prod_subset_of_prod and extend ZFC model |
Required by @eric-wieser in #24281
---
[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
|
103/0 |
Mathlib/Data/Set/Prod.lean,Mathlib/SetTheory/ZFC/Basic.lean |
2 |
2 |
['VTrelat', 'github-actions'] |
nobody |
27-75007 27 days ago |
27-81626 27 days ago |
27-81678 27 days |
| 25450 |
pechersky author:pechersky |
feat(Valued): Valuation.leAddSubgroup and ideal/submodule versions of ltAddSubgroup |
Also prove that these are clopen.
Factored out of #24627
Fix capitalization spelling mistake on `closedball` in a lemma
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
t-analysis
t-number-theory
label:t-algebra$ |
272/30 |
Mathlib/RingTheory/Valuation/Basic.lean,Mathlib/RingTheory/Valuation/Integers.lean,Mathlib/Topology/Algebra/Valued/LocallyCompact.lean,Mathlib/Topology/Algebra/Valued/ValuationTopology.lean |
4 |
4 |
['faenuccio', 'github-actions', 'pechersky'] |
nobody |
27-24769 27 days ago |
28-60693 28 days ago |
28-62210 28 days |
| 25089 |
Bergschaf author:Bergschaf |
feat(Order/Sublocale): definition of sublocales |
There are several possible definition of sublocales. I used one from [nlab](https://ncatlab.org/nlab/show/sublocale) which states that a sublocale is a subset of a locale which is closed under all meets and for any ∈ S and x ∈ X, we have x ⇨ s ∈ S.
This PR also includes an order isomorphism between (Nucleus)ᵒᵈ and Sublocale.
---
I am open to better name suggestions for the order isomorphism.
- [x] depends on: #24941
[](https://gitpod.io/from-referrer/)
|
maintainer-merge
t-order
|
265/8 |
Mathlib.lean,Mathlib/Order/Hom/Lattice.lean,Mathlib/Order/Nucleus.lean,Mathlib/Order/Sublocale.lean,Mathlib/Order/Synonym.lean,docs/references.bib |
6 |
71 |
['Bergschaf', 'YaelDillies', 'github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'xhalo32'] |
nobody |
25-55801 25 days ago |
25-55801 25 days ago |
39-35223 39 days |
| 25481 |
kbuzzard author:kbuzzard |
chore: refactor Algebra.TensorProduct.rightAlgebra |
The declaration `Algebra.TensorProduct.rightAlgebra` makes `A ⊗[R] B` into a `B`-algebra (here `R` is a `CommSemiring`, `A` is a `Semiring` and an `R`-algebra, and `B` is a `CommSemiring` and an `R`-algebra). It is not an instance because if A = B it causes a diamond. However in the many cases where A isn't B, it can occasionally be useful.
However one could imagine that in the many cases where an R-module `M` also isn't `B`, it might occasionally be useful to make `M ⊗[R] B` into a `B`-module (and indeed I am finding this in FLT). With the current definition of `Algebra.TensorProduct.rightAlgebra` this is difficult to do without causing diamonds in the case when `M` happens to be an `R`-algebra (by which I mean "I failed to do this in finite time").
One fix for this is just to redefine `Algebra.TensorProduct.rightAlgebra` so that the `smul` field is
```
smul b ab := TensorProduct.comm _ _ _ (b • (TensorProduct.comm _ _ _ ab))
```
i.e. literally "swap the product around, use mathlib's instance making `B ⊗[R] A` into a `B`-algebra, and then swap back". Then the same definition can be used to make `M ⊗[R] B` into a `B`-module and on the odd occasion where this point of view is useful, there is no diamond. This is what we do in this PR. After adding one simp lemma there is no breakage at all in mathlib. Furthermore, for those who have observed that we want to build on this algebra instance sometimes and, for example, add instances of the form "if M is finite over R then M ⊗[R] B is finite over B" -- these instances are really easy to add now with this new definition, because you simply pull back the analogous finite left module instance along the isomorphism M ⊗[R] B = B ⊗[R] M. Examples (from FLT, where the right action is put in a scope):
```
scoped instance [Module.Finite R M] : Module.Finite A (M ⊗[R] A) :=
Module.Finite.equiv (Module.TensorProduct.comm R A M)
scoped instance [Module.Free R M] : Module.Free A (M ⊗[R] A) :=
Module.Free.of_equiv (Module.TensorProduct.comm R A M)
```
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
33/6 |
Mathlib/RingTheory/TensorProduct/Basic.lean |
1 |
4 |
['github-actions', 'kbuzzard', 'leanprover-bot'] |
nobody |
25-12188 25 days ago |
27-78135 27 days ago |
27-78391 27 days |
| 25563 |
Komyyy author:Komyyy |
chore: move `Topology.StoneCech` into `Topology.Compactification` (1/2) |
At present, the `Topology.Compactification` directory includes results on one-point compactifications, but results on Stone-Čech compactifications are currently located elsewhere.
The removed file `Topology.Compactification` is deprecated in another PR (#25583) to leave a good git diff history.
---
[](https://gitpod.io/from-referrer/)
|
file-removed
maintainer-merge
t-topology
|
9/9 |
Mathlib.lean,Mathlib/Combinatorics/Hindman.lean,Mathlib/Topology/Category/CompHaus/Basic.lean,Mathlib/Topology/Category/CompHaus/Projective.lean,Mathlib/Topology/Category/Profinite/Projective.lean,Mathlib/Topology/Category/Stonean/Adjunctions.lean,Mathlib/Topology/Compactification/StoneCech.lean,Mathlib/Topology/ExtremallyDisconnected.lean,Mathlib/Topology/Maps/Proper/UniversallyClosed.lean,Mathlib/Topology/Separation/CompletelyRegular.lean |
10 |
4 |
['Komyyy', 'github-actions', 'grunweg'] |
nobody |
25-10557 25 days ago |
25-10557 25 days ago |
25-72488 25 days |
| 25578 |
peakpoint author:peakpoint |
refactor(Geometry/Euclidean/Projection): redefine projection and reflection for affine subspaces |
---
The coersion stuff is just copied from `Analysis/Normed/Operator/LinearIsometry`.
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-euclidean-geometry
|
479/448 |
Mathlib.lean,Mathlib/Analysis/Normed/Affine/ContinuousAffineMap.lean,Mathlib/Analysis/Normed/Affine/Isometry.lean,Mathlib/Geometry/Euclidean/Altitude.lean,Mathlib/Geometry/Euclidean/Circumcenter.lean,Mathlib/Geometry/Euclidean/Projection.lean,Mathlib/Geometry/Euclidean/SignedDist.lean,Mathlib/LinearAlgebra/AffineSpace/AffineSubspace/Projection.lean |
8 |
2 |
['github-actions', 'jsm28'] |
nobody |
24-84119 24 days ago |
25-33019 25 days ago |
25-33013 25 days |
| 24541 |
pfaffelh author:pfaffelh |
feat(Topology/Compactness/CompactSystem): introduce compact Systems |
A compact system is a set systems with the property that, whenever a countable intersections of sets in the set system is empty, there is a finite subset of sets with empty intersection. These are needed e.g. in measure theory if one wants to show sigma-additivity of a set function on a ring.
* Main result: The set of sets which are either compact and closed, or `univ`, is a compact system.
* Introduce `Dissipate s x := ⋂ y ≤ x, s y` (Data/Set/Dissipate), which is parallel to Data/Set/Accumulate.
Co-authored-by: Rémy Degenne remydegenne@gmail.com
|
new-contributor
t-measure-probability
|
453/2 |
Mathlib.lean,Mathlib/Data/Set/Accumulate.lean,Mathlib/Data/Set/Dissipate.lean,Mathlib/MeasureTheory/PiSystem.lean,Mathlib/Topology/Compactness/CompactSystem.lean |
5 |
74 |
['github-actions', 'leanprover-community-bot-assistant', 'pfaffelh', 'sgouezel'] |
nobody |
24-62283 24 days ago |
24-62283 24 days ago |
44-9695 44 days |
| 25600 |
Komyyy author:Komyyy |
refactor: lemma expressing `ContinuousAt` using a punctured neighbourhood |
---
This lemma is used to prove that the Riemann zeta function is meromorphic in #25597.
[](https://gitpod.io/from-referrer/)
|
maintainer-merge
t-topology
|
4/0 |
Mathlib/Topology/ContinuousOn.lean |
1 |
5 |
['Komyyy', 'github-actions', 'grunweg'] |
nobody |
24-47674 24 days ago |
24-47674 24 days ago |
24-59560 24 days |
| 25573 |
JovanGerb author:JovanGerb |
feat: define `∃ x > y, ...` notation to mean `∃ x, y < x ∧ ...` |
This PR changes the elaboration of the binders `∃ x > y,` and `∀ x > y,` to use `<` instead of `>`, because we want to avoid working with `>` as much as possible (and similarly for `≥` vs `≤` ).
The advantage is that we don't need to worry about rewriting with lemmas like `gt_iff_lt`. The disadvantage is that people might find this confusing.
[#mathlib4 > naming convention for ≤ and < @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/naming.20convention.20for.20.E2.89.A4.20and.20.3C/near/522910464)
The main changes are in `Mathlib.Init`, `Mathlib.Util.Delaborators` and `MathlibTest.delaborators`.
---
[](https://gitpod.io/from-referrer/)
|
t-meta |
59/52 |
Counterexamples/DiscreteTopologyNonDiscreteUniformity.lean,Mathlib/Algebra/Order/Monoid/Canonical/Defs.lean,Mathlib/Analysis/Analytic/Basic.lean,Mathlib/Analysis/BoxIntegral/Integrability.lean,Mathlib/Analysis/Calculus/UniformLimitsDeriv.lean,Mathlib/Analysis/Complex/Liouville.lean,Mathlib/Analysis/Complex/OpenMapping.lean,Mathlib/Analysis/Fourier/PoissonSummation.lean,Mathlib/Analysis/MellinTransform.lean,Mathlib/Analysis/Normed/Operator/Banach.lean,Mathlib/Dynamics/Ergodic/Conservative.lean,Mathlib/Dynamics/PeriodicPts/Defs.lean,Mathlib/Geometry/Manifold/IntegralCurve/ExistUnique.lean,Mathlib/Init.lean,Mathlib/MeasureTheory/Covering/LiminfLimsup.lean,Mathlib/MeasureTheory/Function/ConvergenceInMeasure.lean,Mathlib/MeasureTheory/Function/Egorov.lean,Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean,Mathlib/MeasureTheory/Integral/DivergenceTheorem.lean,Mathlib/MeasureTheory/Integral/Layercake.lean,Mathlib/NumberTheory/LSeries/SumCoeff.lean,Mathlib/Order/Filter/AtTopBot/Finite.lean,Mathlib/RingTheory/RootsOfUnity/PrimitiveRoots.lean,Mathlib/RingTheory/Valuation/Basic.lean,Mathlib/Topology/CWComplex/Classical/Finite.lean,Mathlib/Topology/ContinuousMap/Ideals.lean,Mathlib/Topology/EMetricSpace/Defs.lean,Mathlib/Topology/EMetricSpace/Paracompact.lean,Mathlib/Topology/LocallyFinite.lean,Mathlib/Topology/MetricSpace/Ultra/Basic.lean,Mathlib/Util/Delaborators.lean,MathlibTest/delaborators.lean |
32 |
1 |
['github-actions'] |
nobody |
24-42970 24 days ago |
24-43082 24 days ago |
24-43069 24 days |
| 22603 |
pechersky author:pechersky |
chore(Topology): rename pi family from π to X |
Only in files that mentioned such a family, via a script:
```
git grep -e "π : . → Type" --name-only | rg Topology | xargs -I{} sed -i -e 's/π/X/g' {}
```
---
[](https://gitpod.io/from-referrer/)
|
tech debt
t-topology
|
238/238 |
Mathlib/Topology/AlexandrovDiscrete.lean,Mathlib/Topology/Algebra/InfiniteSum/Constructions.lean,Mathlib/Topology/Algebra/Module/Equiv.lean,Mathlib/Topology/Algebra/Order/LiminfLimsup.lean,Mathlib/Topology/Bases.lean,Mathlib/Topology/Bornology/Constructions.lean,Mathlib/Topology/Connected/Basic.lean,Mathlib/Topology/Connected/Clopen.lean,Mathlib/Topology/Connected/LocallyConnected.lean,Mathlib/Topology/Connected/TotallyDisconnected.lean,Mathlib/Topology/Constructions.lean,Mathlib/Topology/ContinuousOn.lean,Mathlib/Topology/EMetricSpace/Diam.lean,Mathlib/Topology/EMetricSpace/Pi.lean,Mathlib/Topology/ExtremallyDisconnected.lean,Mathlib/Topology/Inseparable.lean,Mathlib/Topology/MetricSpace/Basic.lean,Mathlib/Topology/MetricSpace/Infsep.lean,Mathlib/Topology/MetricSpace/ProperSpace.lean,Mathlib/Topology/MetricSpace/Pseudo/Pi.lean,Mathlib/Topology/Metrizable/Basic.lean,Mathlib/Topology/Order/Basic.lean,Mathlib/Topology/Separation/Hausdorff.lean,Mathlib/Topology/UniformSpace/Ascoli.lean |
24 |
1 |
['github-actions'] |
nobody |
24-34720 24 days ago |
24-34742 24 days ago |
30-28355 30 days |
| 24530 |
chrisflav author:chrisflav |
feat(RingTheory): faithfully flat ring maps |
Co-authored by: Joël Riou
---
- [x] depends on: #24375
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
92/1 |
Mathlib.lean,Mathlib/Algebra/Ring/Equiv.lean,Mathlib/RingTheory/RingHom/FaithfullyFlat.lean,Mathlib/RingTheory/RingHom/Flat.lean |
4 |
4 |
['chrisflav', 'erdOne', 'github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
24-10658 24 days ago |
54-4666 1 month ago |
54-5730 54 days |
| 24794 |
chrisflav author:chrisflav |
feat(RingTheory/Presentation): core of a presentation |
If `P` is a presentation of `S` as an `R`-algebra and `R₀` a subring of `R` containing the coefficients of the relations of `P`, then there exists an `R₀`-algebra `S₀` such that `S` is isomorphic to the base change of `S₀` to `R`.
This is a tool to remove Noetherian hypothesis in certain situations.
---
- [x] depends on: #24788
- [x] depends on: #24786
- [x] depends on: #24785
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
252/2 |
Mathlib.lean,Mathlib/Algebra/Algebra/Subalgebra/Basic.lean,Mathlib/Algebra/Algebra/Subalgebra/Tower.lean,Mathlib/Algebra/Algebra/Tower.lean,Mathlib/RingTheory/AlgebraicIndependent/Transcendental.lean,Mathlib/RingTheory/Extension/Presentation/Core.lean,Mathlib/RingTheory/FiniteType.lean,Mathlib/RingTheory/TensorProduct/MvPolynomial.lean |
8 |
4 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
24-7950 24 days ago |
24-10646 24 days ago |
24-11585 24 days |
| 24520 |
chrisflav author:chrisflav |
feat(Algebra/Pi): add various `AlgEquiv`s and `RingEquiv`s |
Add
- `RingEquiv.sumArrowEquivProdArrow`: ring version of `Equiv.sumArrowEquivProdArrow`.
- `AlgEquiv.sumArrowEquivProdArrow`: algebra version of `Equiv.sumArrowEquivProdArrow`.
- `AlgEquiv.piCongrLeft'`: algebra version of `Equiv.piCongrLeft`.
- `AlgEquiv.piCongrLeft`: algebra version of `Equiv.piCongrLeft`.
- `AlgEquiv.funUnique`: algebra version of `Equiv.funUnique`.
- `AlgEquiv.prodCongr`: algebra version of `Equiv.prodCongr`.
The four last ones already have ring versions.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
116/1 |
Mathlib/Algebra/Algebra/Pi.lean,Mathlib/Algebra/Algebra/Prod.lean,Mathlib/Algebra/Ring/Equiv.lean |
3 |
20 |
['Ruben-VandeVelde', 'chrisflav', 'eric-wieser', 'github-actions', 'mistarro'] |
eric-wieser assignee:eric-wieser |
24-7200 24 days ago |
39-44494 1 month ago |
62-63195 62 days |
| 24379 |
chrisflav author:chrisflav |
feat(Algebra/AlgHom): `Unique` if target is `Subsingleton` |
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
32/0 |
Mathlib/Algebra/Algebra/Equiv.lean,Mathlib/Algebra/Algebra/Hom.lean |
2 |
6 |
['chrisflav', 'eric-wieser', 'github-actions'] |
nobody |
24-6981 24 days ago |
62-83581 2 months ago |
63-33116 63 days |
| 22714 |
pfaffelh author:pfaffelh |
feat: The finite product of semi-rings (in terms of measure theory) is a semi-ring. |
~~Move results for rings (in terms of measure theory) to a separate file; was in Semiring.lean before.~~
For `∀ i ∈ s, IsSetSemiring (C i))`, the product `s.pi '' s.pi C` is a semiring.
Prove two auxiliary lemmas in `Data.Set.Prod` needed on the way.
|
large-import
new-contributor
t-measure-probability
|
264/14 |
Mathlib/Data/Set/Pairwise/Lattice.lean,Mathlib/Data/Set/Prod.lean,Mathlib/MeasureTheory/MeasurableSpace/Pi.lean,Mathlib/MeasureTheory/PiSystem.lean,Mathlib/MeasureTheory/SetSemiring.lean,lakefile.lean |
6 |
15 |
['EtienneC30', 'Paul-Lez', 'github-actions', 'leanprover-community-bot-assistant', 'pfaffelh', 'sgouezel'] |
EtienneC30 assignee:EtienneC30 |
24-6471 24 days ago |
24-6471 24 days ago |
47-22561 47 days |
| 25334 |
matthewjasper author:matthewjasper |
feat(RingTheory/Flat): Add theorems relating Submodule.torsion and Module.Flat |
Co-authored-by: Kevin Buzzard
---
[](https://gitpod.io/from-referrer/)
|
FLT
new-contributor
t-algebra
label:t-algebra$ |
202/0 |
Mathlib.lean,Mathlib/Algebra/Algebra/Bilinear.lean,Mathlib/Algebra/Module/LocalizedModule/Basic.lean,Mathlib/RingTheory/Flat/TorsionFree.lean,Mathlib/RingTheory/Ideal/IsPrincipal.lean |
5 |
13 |
['alreadydone', 'erdOne', 'github-actions', 'kbuzzard'] |
nobody |
23-79176 23 days ago |
32-62473 1 month ago |
32-62470 32 days |
| 25586 |
JovanGerb author:JovanGerb |
chore(Order): use new ge/gt naming convention - Part 5 |
This PR renames, moves around, and deprecates theorems about `PartialOrder`s
The main changes are in `Mathlib.Order.Defs.PartialOrder` and `Mathlib.Order.Basic`.
---
[](https://gitpod.io/from-referrer/)
|
|
132/121 |
Mathlib/Algebra/ContinuedFractions/Computation/Approximations.lean,Mathlib/Algebra/Exact.lean,Mathlib/Algebra/Order/AbsoluteValue/Basic.lean,Mathlib/Algebra/Order/BigOperators/Ring/Finset.lean,Mathlib/Algebra/Order/Group/PosPart.lean,Mathlib/Algebra/Order/Group/Unbundled/Abs.lean,Mathlib/Algebra/Order/Monoid/Canonical/Defs.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Basic.lean,Mathlib/Algebra/Order/Ring/Unbundled/Basic.lean,Mathlib/Algebra/Quaternion.lean,Mathlib/Analysis/Analytic/Basic.lean,Mathlib/Analysis/Calculus/Darboux.lean,Mathlib/Analysis/Convex/Gauge.lean,Mathlib/Analysis/Convex/Jensen.lean,Mathlib/Analysis/Convex/Segment.lean,Mathlib/Analysis/InnerProductSpace/Basic.lean,Mathlib/Analysis/InnerProductSpace/LinearMap.lean,Mathlib/Analysis/MeanInequalities.lean,Mathlib/Analysis/Normed/Group/Basic.lean,Mathlib/Analysis/Normed/Group/Continuity.lean,Mathlib/Analysis/Normed/Group/Quotient.lean,Mathlib/Analysis/Normed/Unbundled/RingSeminorm.lean,Mathlib/Analysis/Normed/Unbundled/SeminormFromBounded.lean,Mathlib/Analysis/NormedSpace/Multilinear/Basic.lean,Mathlib/Analysis/NormedSpace/OperatorNorm/Bilinear.lean,Mathlib/Analysis/SpecialFunctions/BinaryEntropy.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/Rpow/IntegralRepresentation.lean,Mathlib/Analysis/SpecialFunctions/Pow/Real.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Inverse.lean,Mathlib/Analysis/SpecificLimits/Normed.lean,Mathlib/Combinatorics/Additive/CauchyDavenport.lean,Mathlib/Combinatorics/Additive/Energy.lean,Mathlib/Combinatorics/Configuration.lean,Mathlib/Combinatorics/SetFamily/FourFunctions.lean,Mathlib/Combinatorics/SimpleGraph/Extremal/Basic.lean,Mathlib/Data/EReal/Operations.lean,Mathlib/Data/Finset/Card.lean,Mathlib/Data/NNReal/Defs.lean,Mathlib/Data/Nat/Find.lean,Mathlib/Data/Set/Sups.lean,Mathlib/FieldTheory/Normal/Closure.lean,Mathlib/Geometry/Euclidean/Angle/Unoriented/Basic.lean,Mathlib/GroupTheory/SpecificGroups/Alternating.lean,Mathlib/LinearAlgebra/Dimension/DivisionRing.lean,Mathlib/LinearAlgebra/FreeModule/PID.lean,Mathlib/LinearAlgebra/Ray.lean,Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/NumberTheory/NumberField/CanonicalEmbedding/ConvexBody.lean,Mathlib/NumberTheory/SumFourSquares.lean,Mathlib/Order/Basic.lean,Mathlib/Order/BoundedOrder/Basic.lean,Mathlib/Order/Cover.lean,Mathlib/Order/Defs/PartialOrder.lean,Mathlib/Order/Fin/Basic.lean,Mathlib/Order/Interval/Set/Basic.lean,Mathlib/Order/UpperLower/Closure.lean,Mathlib/RingTheory/ChainOfDivisors.lean,Mathlib/RingTheory/Filtration.lean,Mathlib/RingTheory/Regular/IsSMulRegular.lean,Mathlib/SetTheory/Ordinal/Arithmetic.lean,Mathlib/SetTheory/Ordinal/Family.lean,Mathlib/Topology/Compactness/DeltaGeneratedSpace.lean,Mathlib/Topology/Instances/ENNReal/Lemmas.lean,Mathlib/Topology/Instances/ENat.lean,Mathlib/Topology/MetricSpace/HausdorffDistance.lean,Mathlib/Topology/MetricSpace/Pseudo/Defs.lean,Mathlib/Topology/Neighborhoods.lean,Mathlib/Topology/NhdsSet.lean,Mathlib/Topology/Order.lean |
69 |
3 |
['JovanGerb', 'github-actions'] |
bryangingechen assignee:bryangingechen |
23-77317 23 days ago |
24-84809 24 days ago |
24-84791 24 days |
| 24823 |
eric-wieser author:eric-wieser |
refactor: add `hom` lemmas for the `MonoidalCategory` structure on `ModuleCat` |
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
148/164 |
Mathlib/Algebra/Category/FGModuleCat/Basic.lean,Mathlib/Algebra/Category/ModuleCat/Adjunctions.lean,Mathlib/Algebra/Category/ModuleCat/Monoidal/Basic.lean,Mathlib/Algebra/Category/ModuleCat/Monoidal/Closed.lean,Mathlib/Algebra/Category/ModuleCat/Monoidal/Symmetric.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/Free.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/Generator.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/Monoidal.lean,Mathlib/CategoryTheory/Monoidal/Internal/Module.lean,Mathlib/RepresentationTheory/Coinvariants.lean,Mathlib/RepresentationTheory/Rep.lean |
11 |
20 |
['101damnations', 'YaelDillies', 'eric-wieser', 'github-actions', 'joelriou', 'kbuzzard', 'leanprover-community-bot-assistant'] |
101damnations assignee:101damnations |
23-72505 23 days ago |
23-72524 23 days ago |
41-68569 41 days |
| 24192 |
alreadydone author:alreadydone |
feat(RingTheory): semisimple Wedderburn–Artin existence |
---
- [x] depends on: #24119
- [x] depends on: #23963
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
477/61 |
Mathlib/Algebra/Algebra/Pi.lean,Mathlib/Algebra/Ring/Equiv.lean,Mathlib/LinearAlgebra/DFinsupp.lean,Mathlib/Order/CompleteSublattice.lean,Mathlib/RingTheory/SimpleModule/Basic.lean,Mathlib/RingTheory/SimpleModule/IsAlgClosed.lean,Mathlib/RingTheory/SimpleModule/Isotypic.lean,Mathlib/RingTheory/SimpleModule/WedderburnArtin.lean |
8 |
3 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
23-61677 23 days ago |
23-61723 23 days ago |
46-53802 46 days |
| 24850 |
pechersky author:pechersky |
feat(Topology/UniformSpace/Ultra): uniform spaces induced by pseudometrics are ultra if system is ultra |
Any uniform space has a natural system of pseudometrics definable on it,
comprised of those pseudometrics constructed from a descending chain of
equivalence relation entourages. In a nonarchimedean uniformity, this pseudometric system
induces the uniformity.
---
[](https://gitpod.io/from-referrer/)
- [x] depends on: #23111 |
t-topology |
509/1 |
Mathlib.lean,Mathlib/Topology/MetricSpace/BundledFun.lean,Mathlib/Topology/UniformSpace/Ultra/Pseudometrizable.lean |
3 |
8 |
['ADedecker', 'fpvandoorn', 'github-actions', 'mathlib4-dependent-issues-bot', 'pechersky'] |
nobody |
23-24442 23 days ago |
23-24505 23 days ago |
38-56441 38 days |
| 25188 |
vlad902 author:vlad902 |
feat: add lemmas about `List.scanr` |
I add basic lemmas to reason about `List.scanr`, and slightly clean-up the file and add some basic lemmas to keep the API unified with the one for `List.scanl`.
---
[](https://gitpod.io/from-referrer/)
|
t-data |
84/18 |
Mathlib/Data/List/Scan.lean |
1 |
5 |
['b-mehta', 'github-actions', 'vlad902'] |
nobody |
22-81554 22 days ago |
38-17515 1 month ago |
38-41013 38 days |
| 25574 |
D-Thomine author:D-Thomine |
feat(Cardinal/Finite): ENat powers and cardinality |
We define the powers of an extended natural number by another extended natural numbers in a new file `Data.Enat.Pow`. We extend `Nat.card_fun` to arbitrary types in `SetTheory.Cardinal.Finite`.
- We add a few useful instances (`Pi.nonemptyUnique`, `NoZeroDivisors ℕ∞`, `Subsingleton ℕ∞ˣ`). The latter is in an odd place (`Data.Enat.Pow`), but I did not find a file with the right imports, and did not want to blow up imports in, say, `Data.Enat.Basic`.
- This PR has significant overlap with PR #16810 by @urkud . Most of it is convergent evolution (even the names), but I lifted and tweaked the `Pow` instance from there. Overall, I wouldn't mind if we first merged Yuri's PR; it would be better for documenting code contribution, but make for a more complicated process. Another solution would be to add Yuri as an author/copyright holder to `Data.Enat.Pow` if he agrees.
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory
t-data
|
177/3 |
Mathlib.lean,Mathlib/Data/ENat/Basic.lean,Mathlib/Data/ENat/Pow.lean,Mathlib/Logic/Unique.lean,Mathlib/SetTheory/Cardinal/Finite.lean |
5 |
7 |
['D-Thomine', 'github-actions', 'sgouezel'] |
nobody |
22-71322 22 days ago |
25-45808 25 days ago |
25-49728 25 days |
| 22771 |
alreadydone author:alreadydone |
feat(Homotopy/Lifting): monodromy of covering maps and lifting criterion |
Definition 2.1 in https://ncatlab.org/nlab/show/monodromy.
Also:
+ Extract `FundamentalGroupoid.map (f : C(X, Y)) : FundamentalGroupoid X ⥤ FundamentalGroupoid Y` from `fundamentalGroupoidFunctor : TopCat ⥤ CategoryTheory.Grpd`
+ Define `FundamentalGroup.map (f : C(X, Y)) (x : X) : FundamentalGroup X x →* FundamentalGroup Y (f x)` and `mapOfEq : FundamentalGroup X x →* FundamentalGroup Y y` that takes an assumption `f x = y`.
+ Redefine `FundamentalGroup` to be `End` rather than `Aut`: since `FundamentalGroupoid` is a groupoid, `End` already has a group structure.
+ Golf within the file FundamentalGroupoid/Basic.
+ Generalize `toArrow` up to `fromPath` in `FundamentalGroupoid/FundamentalGroup` from `X : TopCat` to `[TopologicalSpace X]`.
Also golfs some proofs and redefines
---
- [x] depends on: #22649
[](https://gitpod.io/from-referrer/)
|
t-topology |
193/147 |
Mathlib/AlgebraicTopology/FundamentalGroupoid/Basic.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/FundamentalGroup.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/InducedMaps.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/SimplyConnected.lean,Mathlib/CategoryTheory/Groupoid.lean,Mathlib/Topology/Covering.lean,Mathlib/Topology/Homotopy/HomotopyGroup.lean,Mathlib/Topology/Homotopy/Lifting.lean,Mathlib/Topology/Homotopy/Product.lean |
9 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
PatrickMassot assignee:PatrickMassot |
22-50531 22 days ago |
106-3917 3 months ago |
106-5810 106 days |
| 7596 |
alreadydone author:alreadydone |
feat: covering maps from properly discontinuous actions and discrete subgroups |
---
- [x] depends on: #23236
[](https://gitpod.io/from-referrer/)
|
file-removed
t-topology
|
350/21 |
Mathlib.lean,Mathlib/Analysis/SpecialFunctions/Complex/Circle.lean,Mathlib/Topology/Algebra/ConstMulAction.lean,Mathlib/Topology/Algebra/Group/Pointwise.lean,Mathlib/Topology/Covering/AddCircle.lean,Mathlib/Topology/Covering/Basic.lean,Mathlib/Topology/Covering/Galois.lean,Mathlib/Topology/Homotopy/Lifting.lean,Mathlib/Topology/Instances/AddCircle/Defs.lean |
9 |
17 |
['ADedecker', 'alreadydone', 'digama0', 'github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot', 'tb65536'] |
nobody |
21-75446 21 days ago |
22-50417 22 days ago |
71-44632 71 days |
| 23940 |
YaelDillies author:YaelDillies |
feat: polytopes |
From Toric
Co-authored-by: Matthew Johnson
---
[](https://gitpod.io/from-referrer/)
|
toric
t-analysis
|
65/0 |
Mathlib.lean,Mathlib/Geometry/Convex/Polytope.lean,Mathlib/Geometry/Convex/README.md |
3 |
8 |
['Parcly-Taxel', 'YaelDillies', 'eric-wieser', 'github-actions', 'leanprover-community-bot-assistant'] |
nobody |
21-57056 21 days ago |
21-57075 21 days ago |
82-42798 82 days |
| 19872 |
YaelDillies author:YaelDillies |
chore(GroupTheory/Index): rename `relindex` to `relIndex` |
---
- [x] depends on: #24044
[](https://gitpod.io/from-referrer/)
|
FLT
t-algebra
label:t-algebra$ |
255/192 |
Mathlib/FieldTheory/Relrank.lean,Mathlib/GroupTheory/Commensurable.lean,Mathlib/GroupTheory/CosetCover.lean,Mathlib/GroupTheory/GroupAction/Blocks.lean,Mathlib/GroupTheory/Index.lean,Mathlib/GroupTheory/IndexNormal.lean,Mathlib/GroupTheory/PGroup.lean,Mathlib/GroupTheory/Schreier.lean,Mathlib/GroupTheory/SchurZassenhaus.lean,Mathlib/GroupTheory/Sylow.lean,Mathlib/GroupTheory/Transfer.lean,Mathlib/LinearAlgebra/FreeModule/Finite/CardQuotient.lean,Mathlib/NumberTheory/ModularForms/CongruenceSubgroups.lean,Mathlib/NumberTheory/NumberField/Units/Regulator.lean,Mathlib/RingTheory/Ideal/Quotient/Index.lean |
15 |
23 |
['Ruben-VandeVelde', 'TwoFX', 'YaelDillies', 'alreadydone', 'eric-wieser', 'github-actions', 'leanprover-community-bot-assistant', 'loefflerd', 'madvorak', 'mathlib4-dependent-issues-bot', 'tb65536'] |
nobody |
21-50558 21 days ago |
22-74519 22 days ago |
152-63865 152 days |
| 25730 |
xroblot author:xroblot |
feat(ZLattice/Covolume): add `covolume_div_covolume_eq_relindex` |
Add the following result:
Let `L₁` be a sub-`ℤ`-lattice of `L₂`. Then the index of `L₁` inside `L₂` is equal to `covolume L₁ / covolume L₂`.
---
- [x] depends on: #22940
- [x] depends on: #23759
[](https://gitpod.io/from-referrer/)
---
*This PR continues the work from #22961.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/22961* |
t-algebra label:t-algebra$ |
66/3 |
Mathlib/Algebra/Module/ZLattice/Basic.lean,Mathlib/Algebra/Module/ZLattice/Covolume.lean,Mathlib/GroupTheory/Index.lean,Mathlib/LinearAlgebra/Determinant.lean |
4 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
21-17866 21 days ago |
21-18957 21 days ago |
21-18941 21 days |
| 25732 |
robin-carlier author:robin-carlier |
feat(CategoryTheory/Monoidal/Limits): miscellany about preservation of (co)limits by tensor products |
Register some instances regarding preservations of (co)limits for the tensor product of a monoidal category. More precisely, we register the fact that if the category is braided and `tensorLeft c` preserves colimits (this can be inferred e.g via `MonoidalClosed C`), then so does `tensorRight c` for every `c`.
We also rephrase preservation of (co)limits for `curriedTensor C` in terms of preservations of (co)limits for `tensorRight c`.
The PR introduces also introduces a directory `CategoryTheory.Monoidal.Limits` and moves the existing file `CategoryTheory.Monoidal.Limits.lean` to `CategoryTheory.Monoidal.Limits.Basic`.
---
The instances registered here are tailored so that for a braided monoidal closed category, `PreservesColimit₂` instances from #24685 can be inferred with the results of #24686 for the external product of diagrams defined in #24703
[](https://gitpod.io/from-referrer/)
---
*This PR continues the work from #24711.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/24711* |
file-removed
t-category-theory
|
72/2 |
Mathlib.lean,Mathlib/CategoryTheory/Monoidal/Internal/Limits.lean,Mathlib/CategoryTheory/Monoidal/Limits/Basic.lean,Mathlib/CategoryTheory/Monoidal/Limits/Preserves.lean |
4 |
1 |
['github-actions'] |
nobody |
21-14423 21 days ago |
21-14552 21 days ago |
21-14537 21 days |
| 25760 |
robin-carlier author:robin-carlier |
feat(CategoryTheory/Bicategory): (2,1)-categories and `Pith` |
This PR introduces a class `IsLocallyGroupoid` on bicategories, asserting that every hom-category has an `IsGroupoid` instance.
With this definition, `IsLocallyGroupoid (LocallyDiscrete C)` is correctly inferred.
Given a bicategory `B`, we introduce a type alias `Pith B` for `B` (realized as a one-field structure), and we equip it with a `Bicategory` instance where the hom-categories are the cores of the hom-categories of `B`. We show that this bicategory is a (2,1)-category, construct an inclusion pseudo-functor from `Pith B` to `B`, and show that every pseudofunctor from a (2,1)-category to `B` factors through this inclusion.
---
We can’t fully state the fact that `(pseudofunctorToPith F).comp (inclusion F)` "is" `F` because #18254 is still not merged.
[](https://gitpod.io/from-referrer/)
---
*This PR continues the work from #25150.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/25150* |
t-category-theory |
191/0 |
Mathlib.lean,Mathlib/CategoryTheory/Bicategory/LocallyGroupoid.lean |
2 |
1 |
['github-actions'] |
nobody |
21-8892 21 days ago |
21-8965 21 days ago |
21-8949 21 days |
| 25779 |
robin-carlier author:robin-carlier |
feat(CategoryTheory/Bicategory/NaturalTransformations): strong and lax natural transformations of lax functors |
Given two lax functors `F G` between bicategories, we define lax natural transformations as families of 1-morphisms `∀ a : B, F.obj a ⟶ G.obj a` equipped with a naturality 2-cell `∀ {a b : B} (f : a ⟶ b), app a ≫ G.map f ⟶ F.map f ≫ app b` that are required to satisfy conditions such as naturality, and compatibility with the `mapId` and `mapComp` fields of the source and target functors.
This notion dualizes the existing notion of oplax natural transformations between, and tries to narrow the current gap between lax and oplax functors in the library, where the latter has much more formalized API. For maintainability, The code tries to stay as aligned as possible with the code in `CategoryTheory.Bicategory.Naturaltransformations.Oplax`.
---
I followed the book by Johnson and Yau for the definition.
I made @yuma-mizuno and @callesonne authors of the files, as they are the authors of the original code for Oplax functors, which I basically copy-pasted and modified to make it work with lax functors. They should feel free to modify this if they want.
Next thing on the list is to tackle modifications between lax/strong natural transforms of lax transforms, as well as the category instance on lax functors.
[](https://gitpod.io/from-referrer/)
---
*This PR continues the work from #25565.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/25565* |
t-category-theory |
286/0 |
Mathlib.lean,Mathlib/CategoryTheory/Bicategory/NaturalTransformation/Lax.lean,scripts/noshake.json |
3 |
1 |
['github-actions'] |
nobody |
21-5201 21 days ago |
21-5266 21 days ago |
21-5250 21 days |
| 25776 |
Parcly-Taxel author:Parcly-Taxel |
chore: deprime `induction` in `Analysis` |
I think this is very marginally dependent on #25770. |
tech debt
t-analysis
|
256/208 |
Mathlib/Analysis/Analytic/Composition.lean,Mathlib/Analysis/Analytic/Constructions.lean,Mathlib/Analysis/Analytic/Inverse.lean,Mathlib/Analysis/BoxIntegral/Basic.lean,Mathlib/Analysis/BoxIntegral/Box/SubboxInduction.lean,Mathlib/Analysis/BoxIntegral/Partition/Additive.lean,Mathlib/Analysis/BoxIntegral/Partition/Split.lean,Mathlib/Analysis/CStarAlgebra/Basic.lean,Mathlib/Analysis/CStarAlgebra/Multiplier.lean,Mathlib/Analysis/Calculus/ContDiff/Basic.lean,Mathlib/Analysis/Calculus/ContDiff/Bounds.lean,Mathlib/Analysis/Calculus/ContDiff/FTaylorSeries.lean,Mathlib/Analysis/Calculus/ContDiff/Operations.lean,Mathlib/Analysis/Calculus/Deriv/ZPow.lean,Mathlib/Analysis/Calculus/InverseFunctionTheorem/ApproximatesLinearOn.lean,Mathlib/Analysis/Calculus/IteratedDeriv/Lemmas.lean,Mathlib/Analysis/Calculus/SmoothSeries.lean,Mathlib/Analysis/Convex/Combination.lean,Mathlib/Analysis/Convex/Radon.lean,Mathlib/Analysis/InnerProductSpace/Projection.lean,Mathlib/Analysis/Normed/Algebra/Exponential.lean,Mathlib/Analysis/NormedSpace/Multilinear/Basic.lean,Mathlib/Analysis/Seminorm.lean,Mathlib/Analysis/SpecialFunctions/Complex/Arg.lean,Mathlib/Analysis/SpecialFunctions/Complex/Circle.lean,Mathlib/Analysis/SpecialFunctions/Gamma/Basic.lean,Mathlib/Analysis/SpecialFunctions/Gamma/Beta.lean,Mathlib/Analysis/SpecialFunctions/Gamma/BohrMollerup.lean,Mathlib/Analysis/SpecialFunctions/Gamma/Deriv.lean,Mathlib/Analysis/SpecialFunctions/Integrals.lean,Mathlib/Analysis/SpecialFunctions/Log/Basic.lean,Mathlib/Analysis/SpecialFunctions/Pow/Deriv.lean,Mathlib/Analysis/SpecialFunctions/Pow/NNReal.lean,Mathlib/Analysis/SpecialFunctions/Pow/Real.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/EulerSineProd.lean |
35 |
2 |
['Parcly-Taxel', 'github-actions'] |
nobody |
21-5045 21 days ago |
21-5478 21 days ago |
21-5521 21 days |
| 25736 |
robin-carlier author:robin-carlier |
feat(AlgebraicTopology/SimplexCategory/GeneratorsRelations/NormalForms): Normal forms for `P_σ`s |
We prove that admissible lists indeed provide a normal form for morphisms of satisfying `P_σ`.
To this end, we introduce `standardσ`, a construction that takes a list and turn it into a composition of `σ i`s in `SimplexCategoryGenRel`. We then prove that, thangs to the fifth simplicial identity, composition on the right corresponds to simplicial insertion in the list. This gives existence of a normal form for every morphism satisfying `P_σ`.
For unicity, we introduce an auxiliary function `simplicialEvalσ : (List ℕ) → ℕ → ℕ` and show that for admissible lists, it lifts to `ℕ` the `orderHom` attached to `toSimplexCategory.map standardσ`, and that we can recover elements of the list only by looking at values of this function.
Part of a series of PR formalising that `SimplexCategoryGenRel` is equivalent to `SimplexCategory`.
---
- [x] depends on: #21744
[](https://gitpod.io/from-referrer/)
---
*This PR continues the work from #21745.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/21745* |
large-import
t-topology
t-category-theory
|
253/7 |
Mathlib/AlgebraicTopology/SimplexCategory/GeneratorsRelations/NormalForms.lean |
1 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
21-4465 21 days ago |
21-14155 21 days ago |
21-14142 21 days |
| 25786 |
Parcly-Taxel author:Parcly-Taxel |
feat: IMO 2001 Q4 |
|
IMO |
131/4 |
Archive.lean,Archive/Imo/Imo2001Q4.lean,Mathlib/Logic/Equiv/Fin/Rotate.lean |
3 |
1 |
['github-actions'] |
nobody |
21-4464 21 days ago |
21-4532 21 days ago |
21-4516 21 days |
| 25790 |
Parcly-Taxel author:Parcly-Taxel |
chore: remove >6 month old material in `Deprecated` |
|
file-removed
tech debt
|
0/250 |
Mathlib.lean,Mathlib/Deprecated/Cardinal/Continuum.lean,Mathlib/Deprecated/Cardinal/Finite.lean,Mathlib/Deprecated/Cardinal/PartENat.lean,Mathlib/Deprecated/Order.lean |
5 |
1 |
['github-actions'] |
nobody |
21-3721 21 days ago |
21-3820 21 days ago |
21-3807 21 days |
| 25794 |
dagurtomas author:dagurtomas |
feat(CategoryTheory): localization preserves braided structure |
---
[](https://gitpod.io/from-referrer/)
---
*This PR continues the work from #24485.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/24485* |
t-category-theory |
733/427 |
Mathlib.lean,Mathlib/CategoryTheory/Localization/Monoidal.lean,Mathlib/CategoryTheory/Localization/Monoidal/Basic.lean,Mathlib/CategoryTheory/Localization/Monoidal/Braided.lean,Mathlib/CategoryTheory/Monoidal/Braided/Basic.lean,Mathlib/CategoryTheory/Sites/Monoidal.lean |
6 |
1 |
['github-actions'] |
nobody |
21-2508 21 days ago |
21-2580 21 days ago |
21-2564 21 days |
| 25795 |
dagurtomas author:dagurtomas |
chore(Condensed): introduce an abbrev for the equivalence of light condensed sets with a category of sheaves on a small site |
---
[](https://gitpod.io/from-referrer/)
---
*This PR continues the work from #24522.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/24522* |
t-condensed |
39/0 |
Mathlib.lean,Mathlib/Condensed/Light/Small.lean |
2 |
1 |
['github-actions'] |
nobody |
21-2350 21 days ago |
21-2415 21 days ago |
21-2399 21 days |
| 25804 |
erdOne author:erdOne |
feat: `∑ z ∈ L, ‖z - x‖⁻ʳ` converges for lattices `L` |
---
[](https://gitpod.io/from-referrer/)
---
*This PR continues the work from #21673.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/21673* |
t-analysis |
319/0 |
Mathlib.lean,Mathlib/Algebra/BigOperators/Group/Finset/Disjoint.lean,Mathlib/Algebra/Module/ZLattice/Summable.lean,Mathlib/Order/Disjointed.lean |
4 |
1 |
['github-actions'] |
nobody |
20-79326 20 days ago |
20-86025 20 days ago |
20-86009 20 days |
| 25774 |
Parcly-Taxel author:Parcly-Taxel |
chore: deprime `induction` in `AlgebraicTopology/CategoryTheory` |
Most replacements that are also in #23676 have been copied over, but some have been optimised further. |
tech debt |
133/124 |
Mathlib/AlgebraicTopology/DoldKan/Decomposition.lean,Mathlib/AlgebraicTopology/DoldKan/Degeneracies.lean,Mathlib/AlgebraicTopology/DoldKan/NCompGamma.lean,Mathlib/AlgebraicTopology/DoldKan/Projections.lean,Mathlib/AlgebraicTopology/SimplexCategory/MorphismProperty.lean,Mathlib/AlgebraicTopology/SimplicialObject/Split.lean,Mathlib/AlgebraicTopology/SimplicialSet/Degenerate.lean,Mathlib/AlgebraicTopology/SimplicialSet/NerveAdjunction.lean,Mathlib/AlgebraicTopology/SimplicialSet/StdSimplex.lean,Mathlib/CategoryTheory/Abelian/GrothendieckCategory/EnoughInjectives.lean,Mathlib/CategoryTheory/Abelian/GrothendieckCategory/Subobject.lean,Mathlib/CategoryTheory/Action/Concrete.lean,Mathlib/CategoryTheory/Action/Monoidal.lean,Mathlib/CategoryTheory/ComposableArrows.lean,Mathlib/CategoryTheory/Extensive.lean,Mathlib/CategoryTheory/Filtered/Basic.lean,Mathlib/CategoryTheory/Galois/Decomposition.lean,Mathlib/CategoryTheory/Galois/EssSurj.lean,Mathlib/CategoryTheory/Limits/Shapes/Equalizers.lean,Mathlib/CategoryTheory/Limits/Shapes/SequentialProduct.lean,Mathlib/CategoryTheory/Limits/Types/Colimits.lean,Mathlib/CategoryTheory/Limits/VanKampen.lean,Mathlib/CategoryTheory/Quotient.lean,Mathlib/CategoryTheory/Sites/Sheaf.lean,Mathlib/CategoryTheory/Subobject/Basic.lean,Mathlib/CategoryTheory/Subobject/FactorThru.lean,Mathlib/CategoryTheory/Subobject/Lattice.lean,Mathlib/CategoryTheory/Triangulated/TStructure/Basic.lean |
28 |
3 |
['Parcly-Taxel', 'eric-wieser', 'github-actions'] |
nobody |
20-78090 20 days ago |
21-5927 21 days ago |
21-5911 21 days |
| 25788 |
Parcly-Taxel author:Parcly-Taxel |
feat: number of edges in the Turán graph |
We provide two theorems, the first `card_edgeFinset_turanGraph` providing the exact number of edges and the other `card_edgeFinset_turanGraph_le` providing a (slightly) looser bound whose main advantage is its lack of integer division/modulus operations.
The bound in `card_edgeFinset_turanGraph_le` is also the bound provided in [Motzkin and Straus (1965)](https://doi.org/10.4153%2FCJM-1965-053-6). |
large-import
t-combinatorics
|
132/0 |
Mathlib/Combinatorics/SimpleGraph/Turan.lean,Mathlib/Data/Nat/ModEq.lean |
2 |
2 |
['YaelDillies', 'github-actions'] |
nobody |
20-77828 20 days ago |
21-4381 21 days ago |
21-4367 21 days |
| 24931 |
qawbecrdtey author:qawbecrdtey |
feat(Data/Nat/Sqrt): Added lemma `Nat.add_one_sqrt_le_of_ne_zero` |
---
This commit proves a single lemma `Nat.add_one_sqrt_le_of_ne_zero`.
```lean
lemma add_one_sqrt_le_of_ne_zero {n : ℕ} (hn : n ≠ 0) : (n + 1).sqrt ≤ n
```
[](https://gitpod.io/from-referrer/)
|
t-data
easy
|
4/0 |
Mathlib/Data/Nat/Sqrt.lean |
1 |
8 |
['Ruben-VandeVelde', 'adomani', 'eric-wieser', 'github-actions', 'kckennylau', 'qawbecrdtey'] |
nobody |
20-77187 20 days ago |
49-6299 1 month ago |
49-6355 49 days |
| 25724 |
bryangingechen author:bryangingechen |
chore: disable scheduled runs of stale issues workflow |
There's no point in having this run on schedule while it's still in limbo.
---
This also seems to have been [completely broken](https://github.com/leanprover-community/mathlib4/actions/workflows/stale.yml) since #21681, since the search string is too long. Maybe we should just delete this. |
CI |
1/2 |
.github/workflows/stale.yml |
1 |
1 |
['github-actions'] |
nobody |
20-76123 20 days ago |
21-26592 21 days ago |
21-26575 21 days |
| 25829 |
kbuzzard author:kbuzzard |
feat: add mulEquivHaarChar |
API for the positive real factor by which an continuous multiplicative equivalence scales a regular Haar measure on a locally compact topological group.
From FLT.
---
[](https://gitpod.io/from-referrer/)
|
t-measure-probability |
158/0 |
Mathlib.lean,Mathlib/MeasureTheory/Group/Measure.lean,Mathlib/MeasureTheory/Measure/Haar/MulEquivHaarChar.lean,Mathlib/MeasureTheory/Measure/Haar/Unique.lean |
4 |
1 |
['github-actions'] |
nobody |
20-42533 20 days ago |
20-43497 20 days ago |
20-43542 20 days |
| 9820 |
jjaassoonn author:jjaassoonn |
feat(RingTheory/GradedAlgebra/HomogeneousIdeal): generalize to homogeneous submodule |
The definitions, constructions and theorems in `HomogeneousIdeal.lean` are generalized to a homogeneous submodules.
So say $R$ is a ring and $M \cong \bigoplus_{i} M_i$ is an $R$-module. Then a homogeneous $R$-submodule of $M$ is an $R$-submodule $N$ such that for all $i$ and $n \in N$, $n_i \in N$. Note that this notion doesn't actually require $R$ to be graded and $M$ is a graded module. But for more interesting lemmas, we do need that $M$ is graded $R$-module. We bake the fact $R$ is graded into the definition of homogeneous submodule, otherwise, `CompleteLattice HomogeneousSubmodule` cannot find the order of synthesis (the proof depends on that $R$ is graded)
All definitions/constructions/theorems have a copy for ideals as well, this is to make sure dot notation still works.
The motivation of this generalization is graded quotient module
---
- [ ] depends on:#18728
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
516/185 |
Mathlib/Algebra/Module/GradedModule.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Scheme.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Topology.lean,Mathlib/RingTheory/GradedAlgebra/Homogeneous/Ideal.lean,Mathlib/RingTheory/GradedAlgebra/Homogeneous/Submodule.lean,Mathlib/RingTheory/GradedAlgebra/Radical.lean,scripts/nolints_prime_decls.txt |
7 |
2 |
['github-actions'] |
nobody |
20-37648 20 days ago |
140-35731 4 months ago |
171-469 171 days |
| 25830 |
ScottCarnahan author:ScottCarnahan |
refactor (RingTheory/HahnSeries/HEval): remove positive order condition from definition |
This PR removes the positive order condition for substitution (or Hahn evaluation) of a Hahn series into a power series. When the order is not positive, the function substitutes zero. We also add short lemmas for substitution into `PowerSeries.X` and `PowerSeries.C`.
---
[](https://gitpod.io/from-referrer/)
---
*This PR continues the work from #24498.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/24498* |
t-algebra label:t-algebra$ |
33/13 |
Mathlib/RingTheory/HahnSeries/HEval.lean |
1 |
1 |
['github-actions'] |
nobody |
20-28150 20 days ago |
20-29023 20 days ago |
20-29007 20 days |
| 25836 |
jt496 author:jt496 |
feat(SimpleGraph/FiveWheelLike): add the Andrásfai-Erdős-Sós theorem |
Add the Andrásfai-Erdős-Sós theorem `colorable_of_cliqueFree_lt_minDegree` which says that an `r + 1`-cliquefree graph `G` with sufficiently large minimum degree is `r`-colorable.
Co-authored-by: Lian Bremner Tattersall
---
[](https://gitpod.io/from-referrer/)
---
*This PR continues the work from #25313.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/25313* |
large-import
t-combinatorics
|
307/4 |
Mathlib/Combinatorics/SimpleGraph/FiveWheelLike.lean |
1 |
1 |
['github-actions'] |
nobody |
20-6037 20 days ago |
20-6886 20 days ago |
20-6873 20 days |
| 25842 |
mitchell-horner author:mitchell-horner |
feat(Combinatorics/SimpleGraph): define turanDensity |
Define the Turán density `turanDensity H` of a simple graph `H`: `turanDensity H` is the limit of `extremalNumber n H / n.choose 2` as `n` approaches `∞`.
Also prove
- the Turán density of a simple graph is well-defined, that is, the limit `extremalNumber n H / n.choose 2` as `n` approaches `∞` exists,
- `extremalNumber n H` is asymptotically equivalent to `turanDensity H * n.choose 2` as `n` approaches `∞`.
---
- [x] depends on: #19865
- [x] depends on: #20681
[](https://gitpod.io/from-referrer/)
---
*This PR continues the work from #20171.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/20171* |
t-combinatorics |
210/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Extremal/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Extremal/TuranDensity.lean,Mathlib/Combinatorics/SimpleGraph/Finite.lean,Mathlib/Data/Sym/Sym2.lean,Mathlib/Order/Monotone/Basic.lean |
6 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
b-mehta assignee:b-mehta |
19-73090 19 days ago |
19-73090 19 days ago |
19-78224 19 days |
| 25680 |
kim-em author:kim-em |
chore: remove some `Nat` shortcut instances |
This PR continues the work from #24928.
Original PR: https://github.com/leanprover-community/mathlib4/pull/24928 |
|
0/9 |
Mathlib/Algebra/Ring/Divisibility/Basic.lean,Mathlib/Data/List/TakeDrop.lean,Mathlib/Data/Nat/Basic.lean |
3 |
10 |
['b-mehta', 'eric-wieser', 'github-actions', 'leanprover-bot', 'mattrobball'] |
nobody |
19-72439 19 days ago |
22-41550 22 days ago |
22-41532 22 days |
| 25308 |
pechersky author:pechersky |
chore(Algebra/Ring/Subring): simp tag `Subring.smul_def` |
---
[](https://gitpod.io/from-referrer/)
I found this being not-simp frustrating when talking about submodules over a valuation subring. |
t-algebra label:t-algebra$ |
21/23 |
Mathlib/Algebra/Algebra/Subalgebra/Basic.lean,Mathlib/Algebra/Field/Subfield/Basic.lean,Mathlib/Algebra/Group/Subgroup/Actions.lean,Mathlib/Algebra/Group/Submonoid/MulAction.lean,Mathlib/Algebra/Module/LocalizedModule/Basic.lean,Mathlib/Algebra/Module/LocalizedModule/Submodule.lean,Mathlib/Algebra/Ring/Subring/Basic.lean,Mathlib/Algebra/Ring/Subsemiring/Basic.lean,Mathlib/Analysis/CStarAlgebra/Basic.lean,Mathlib/LinearAlgebra/RootSystem/Irreducible.lean,Mathlib/LinearAlgebra/RootSystem/RootPositive.lean,Mathlib/LinearAlgebra/RootSystem/WeylGroup.lean,Mathlib/RingTheory/Localization/InvSubmonoid.lean,Mathlib/RingTheory/OreLocalization/Basic.lean |
14 |
2 |
['eric-wieser', 'github-actions'] |
nobody |
19-46273 19 days ago |
19-46273 19 days ago |
19-71137 19 days |
| 25182 |
YaelDillies author:YaelDillies |
feat: `(M →* N₁) ≃* (M →* N₂)` if `N₁ ≃* N₂` |
From Toric
---
[](https://gitpod.io/from-referrer/)
|
toric
t-algebra
label:t-algebra$ |
65/12 |
Mathlib/Algebra/Category/Grp/ForgetCorepresentable.lean,Mathlib/Algebra/Category/Grp/LargeColimits.lean,Mathlib/Algebra/Category/MonCat/ForgetCorepresentable.lean,Mathlib/Algebra/Group/Equiv/Basic.lean,Mathlib/GroupTheory/FiniteAbelian/Duality.lean |
5 |
10 |
['YaelDillies', 'eric-wieser', 'github-actions'] |
nobody |
19-1074 19 days ago |
38-10398 1 month ago |
39-1037 39 days |
| 25856 |
MichaelStollBayreuth author:MichaelStollBayreuth |
perf(Data.Real.Sqrt): make Real.sqrt irreducible |
We try to see what happens if we make Real.sqrt irreducible.
There are cases where this makes unification very significantly faster, compare [#mathlib4 > Coercion triggers timeout @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Coercion.20triggers.20timeout/near/517177117).
(Migrated manually from #24752)
---
[](https://gitpod.io/from-referrer/)
|
migrated-from-branch
t-data
|
1/0 |
Mathlib/Data/Real/Sqrt.lean |
1 |
1 |
['github-actions'] |
nobody |
18-81970 18 days ago |
18-81970 18 days ago |
18-85675 18 days |
| 25864 |
plp127 author:plp127 |
feat(Nat/Digits): use fuel in `Nat.digits` |
Add a `fuel` parameter to `Nat.digitsAux` to make it structurally recursive.
---
[](https://gitpod.io/from-referrer/)
|
t-data |
49/14 |
Mathlib/Data/Nat/Digits.lean |
1 |
1 |
['github-actions'] |
nobody |
18-54807 18 days ago |
18-71723 18 days ago |
18-71769 18 days |
| 25770 |
Parcly-Taxel author:Parcly-Taxel |
chore: fix more induction/recursor branch names |
These were found using the regex `\| h. =>` and `def.*rec.*\(h. :`. |
tech debt |
134/115 |
Mathlib/Analysis/Convolution.lean,Mathlib/Data/ENat/Basic.lean,Mathlib/Data/Fin/Tuple/Basic.lean,Mathlib/Data/Fin/Tuple/NatAntidiagonal.lean,Mathlib/Data/Nat/Factorization/Induction.lean,Mathlib/Data/Seq/Computation.lean,Mathlib/Data/Set/Card.lean,Mathlib/Data/WSeq/Basic.lean,Mathlib/FieldTheory/KummerExtension.lean,Mathlib/Logic/Function/Iterate.lean,Mathlib/NumberTheory/ArithmeticFunction.lean,Mathlib/NumberTheory/SumFourSquares.lean,Mathlib/NumberTheory/SumTwoSquares.lean,Mathlib/Order/SuccPred/Archimedean.lean,Mathlib/Order/Synonym.lean |
15 |
10 |
['Parcly-Taxel', 'eric-wieser', 'github-actions'] |
nobody |
18-12906 18 days ago |
21-7752 21 days ago |
21-7736 21 days |
| 25851 |
kmill author:kmill |
feat: improve quality of proofs generated by `congr(...)`, add caching, add support for overapplied functions |
This PR makes the following improvements to the `congr(...)` term elaborator:
- It now uses `congr`/`congrFun` as much as possible instead of creating giant HEq-based congruence proofs.
- It now looks for common prefixes for applications, to skip unnecessary work proving that these parts of an application are equal.
- Intermediate results are cached.
- Overapplied functions are now supported.
An overapplied function is a function with more arguments than the arity of the function itself. For example, in `id id 2` the first `id is overapplied. The return type is conditionally a pi type depending on the values of the arguments.
Fixes Jz Pan's issue reported [on Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Strange.20error.20on.20.60congr.60.20macro/near/523998660).
Modifies a couple uses of `congr(...)` in `SimplicialSet.NerveAdjunction` to take more advantage of it.
---
[](https://gitpod.io/from-referrer/)
|
t-meta |
291/140 |
Mathlib/AlgebraicTopology/SimplicialSet/NerveAdjunction.lean,Mathlib/Tactic/TermCongr.lean,MathlibTest/TermCongr.lean |
3 |
15 |
['acmepjz', 'eric-wieser', 'github-actions', 'grunweg', 'kmill'] |
nobody |
18-12039 18 days ago |
19-42285 19 days ago |
19-42267 19 days |
| 25899 |
pfaffelh author:pfaffelh |
feat(Topology/Compactness/CompactSystem): introduce compact Systems |
A compact system is a set systems with the property that, whenever a countable intersections of sets in the set system is empty, there is a finite subset of sets with empty intersection. These are needed e.g. in measure theory if one wants to show sigma-additivity of a set function on a ring.
* Main result: The set of sets which are either compact and closed, or `univ`, is a compact system.
* Introduce `Dissipate s x := ⋂ y ≤ x, s y` (Data/Set/Dissipate), which is parallel to Data/Set/Accumulate.
Co-authored-by: Rémy Degenne remydegenne@gmail.com
---
*This PR continues the work from #24541.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/24541* |
|
453/2 |
Mathlib.lean,Mathlib/Data/Set/Accumulate.lean,Mathlib/Data/Set/Dissipate.lean,Mathlib/MeasureTheory/PiSystem.lean,Mathlib/Topology/Compactness/CompactSystem.lean |
5 |
1 |
['github-actions'] |
nobody |
17-84835 17 days ago |
17-84903 17 days ago |
17-84885 17 days |
| 25932 |
Garmelon author:Garmelon |
chore: remove acceptSuggestionOnEnter option |
Reverts #12749.
Discussion on zulip: [#mathlib4 > propose removing module docstring code suggestion @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/propose.20removing.20module.20docstring.20code.20suggestion/near/452477171)
---
[](https://gitpod.io/from-referrer/)
|
new-contributor |
0/1 |
.vscode/settings.json |
1 |
1 |
['github-actions'] |
nobody |
17-60805 17 days ago |
17-60876 17 days ago |
17-60867 17 days |
| 22078 |
Louddy author:Louddy |
feat(SkewMonoidAlgebra): multiplication and algebraic instances |
# Multiplication and Algebraic Instances
In this PR, we introduce the definition of the skewed convolution product on `SkewMonoidAlgebra k G`. Here, the product of two elements `f g : SkewMonoidAlgebra k G` is the finitely supported function whose value at `a` is the sum of `f x * (x • g y)` over all pairs `x, y` such that `x * y = a`.
We also introduce the associated algebraic instances.
## Context
This is the third part of a planned series of PRs aiming to formalise skew monoid algebras.
The PRs are split to ease the review process. The moral sum of these planned PRs is #10541.
The first and second part were #15878 and #19084.
Co-authored-by: María Inés de Frutos Fernández <[mariaines.dff@gmail.com](mailto:mariaines.dff@gmail.com)>
---
[](https://gitpod.io/from-referrer/)
|
large-import
new-contributor
t-algebra
label:t-algebra$ |
453/45 |
Mathlib/Algebra/SkewMonoidAlgebra/Basic.lean |
1 |
58 |
['AntoineChambert-Loir', 'Louddy', 'github-actions', 'kbuzzard'] |
nobody |
16-86231 16 days ago |
50-7812 1 month ago |
122-28340 122 days |
| 24254 |
Louddy author:Louddy |
feat: valuation on RatFunc which is trivial on constants |
Given a valuation `v` on `RatFunc K` that is trivial on the constants `K`, the valuation on `RatFunc.X` determines to some degree the valuation on any `p : Polynomial K`.
These are important in the context of Ostrowski's theorem for `RatFunc K`.
Note that the condition that the valuation is trivial on constants is automatically fulfilled when `K` is finite.
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$ |
93/0 |
Mathlib/FieldTheory/RatFunc/AsPolynomial.lean |
1 |
29 |
['Louddy', 'faenuccio', 'github-actions', 'mariainesdff'] |
nobody |
16-77762 16 days ago |
49-2489 1 month ago |
51-3408 51 days |
| 25889 |
plp127 author:plp127 |
fix(Tactic/Widget/Conv): fix various issues |
Fixes various issues with the `conv?` widget. Closes #25162.
---
[](https://gitpod.io/from-referrer/)
|
t-meta |
110/83 |
Mathlib/Tactic/Widget/Conv.lean |
1 |
1 |
['github-actions'] |
nobody |
16-76765 16 days ago |
18-30813 18 days ago |
18-30859 18 days |
| 25966 |
b-reinke author:b-reinke |
feat(GroupTheory/FreeGroup/ReducedWords): add theory of reduced words |
This PR continues the work from #23368.
Original PR: https://github.com/leanprover-community/mathlib4/pull/23368 |
t-algebra label:t-algebra$ |
104/0 |
Mathlib.lean,Mathlib/GroupTheory/FreeGroup/ReducedWords.lean |
2 |
2 |
['b-reinke', 'github-actions'] |
nobody |
16-70570 16 days ago |
16-70580 16 days ago |
16-70629 16 days |
| 25965 |
b-reinke author:b-reinke |
feat(Algebra/BigOperators/Finprod): add powerset projection lemmas |
This PR continues the work from #23926.
Original PR: https://github.com/leanprover-community/mathlib4/pull/23926 |
|
30/0 |
Mathlib/Algebra/BigOperators/Finprod.lean,Mathlib/Data/Set/Image.lean |
2 |
2 |
['b-reinke', 'github-actions'] |
joelriou assignee:joelriou |
16-65963 16 days ago |
16-71304 16 days ago |
16-71286 16 days |
| 25931 |
joelriou author:joelriou |
refactor(CategoryTheory): redefine triangulated subcategories using ObjectProperty |
---
This PR continues the work from #24191.
Original PR: https://github.com/leanprover-community/mathlib4/pull/24191 |
|
279/191 |
Mathlib/Algebra/Homology/DerivedCategory/Basic.lean,Mathlib/CategoryTheory/ObjectProperty/ContainsZero.lean,Mathlib/CategoryTheory/ObjectProperty/Shift.lean,Mathlib/CategoryTheory/Triangulated/HomologicalFunctor.lean,Mathlib/CategoryTheory/Triangulated/Subcategory.lean |
5 |
2 |
['github-actions', 'joelriou'] |
nobody |
16-57286 16 days ago |
17-61443 17 days ago |
17-61425 17 days |
| 25988 |
Multramate author:Multramate |
refactor(AlgebraicGeometry/EllipticCurve/*): replace Fin 3 with products |
This PR continues the work from #24593.
Original PR: https://github.com/leanprover-community/mathlib4/pull/24593 |
t-algebraic-geometry |
1000/1022 |
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 |
6 |
2 |
['Multramate', 'github-actions'] |
nobody |
16-46998 16 days ago |
16-47001 16 days ago |
16-47051 16 days |
| 25992 |
Multramate author:Multramate |
feat(RingTheory/Ideal/Span): add pair lemmas |
This PR continues the work from #25323.
Original PR: https://github.com/leanprover-community/mathlib4/pull/25323 |
|
131/31 |
Mathlib/Algebra/Module/PID.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Affine/Point.lean,Mathlib/RingTheory/DedekindDomain/AdicValuation.lean,Mathlib/RingTheory/Ideal/Maps.lean,Mathlib/RingTheory/Ideal/Span.lean |
5 |
2 |
['Multramate', 'github-actions'] |
nobody |
16-46607 16 days ago |
16-46682 16 days ago |
16-46664 16 days |
| 25999 |
bjoernkjoshanssen author:bjoernkjoshanssen |
feat(Topology/Compactification): projective line over ℝ is homeomorphic to the one-point compactification of ℝ |
This PR continues the work from #18306.
Original PR: https://github.com/leanprover-community/mathlib4/pull/18306 |
t-topology |
920/0 |
Mathlib.lean,Mathlib/Topology/Compactification/OnePointHomeomorph.lean,Mathlib/Topology/Compactification/OnePointRealLemmas.lean |
3 |
2 |
['bjoernkjoshanssen', 'github-actions'] |
nobody |
16-26961 16 days ago |
16-26979 16 days ago |
16-27024 16 days |
| 26009 |
linesthatinterlace author:linesthatinterlace |
feat: Add `Vector`/`List.Vector` equivalence |
This PR continues the work from #25050.
Original PR: https://github.com/leanprover-community/mathlib4/pull/25050 |
migrated-from-branch |
125/17 |
Mathlib/Data/Vector/Basic.lean,Mathlib/Data/Vector/Defs.lean,Mathlib/Logic/Equiv/Array.lean |
3 |
2 |
['github-actions', 'linesthatinterlace'] |
nobody |
16-5250 16 days ago |
16-5250 16 days ago |
16-7776 16 days |
| 26011 |
linesthatinterlace author:linesthatinterlace |
feat: add elementary lifts for `OneHom`, `MulHom`, `MonoidHom` and `RingHom`. |
This PR continues the work from #25264.
Original PR: https://github.com/leanprover-community/mathlib4/pull/25264 |
migrated-from-branch
t-algebra
label:t-algebra$ |
414/10 |
Mathlib/Algebra/Group/Hom/Basic.lean,Mathlib/Algebra/Group/Hom/Defs.lean,Mathlib/Algebra/Ring/Hom/Basic.lean,Mathlib/Algebra/Ring/Hom/Defs.lean |
4 |
2 |
['github-actions', 'linesthatinterlace'] |
nobody |
16-5232 16 days ago |
16-5232 16 days ago |
16-7593 16 days |
| 26012 |
linesthatinterlace author:linesthatinterlace |
feat: Low-level derivatives of lifts on `OneHom`, `MulHom` and `MonoidHom` |
This PR continues the work from #25290.
Original PR: https://github.com/leanprover-community/mathlib4/pull/25290 |
migrated-from-branch
t-algebra
label:t-algebra$ |
785/34 |
Mathlib/Algebra/Group/Equiv/Basic.lean,Mathlib/Algebra/Group/Hom/Basic.lean,Mathlib/Algebra/Group/Hom/Defs.lean,Mathlib/Algebra/Ring/Hom/Basic.lean,Mathlib/Algebra/Ring/Hom/Defs.lean |
5 |
2 |
['github-actions', 'linesthatinterlace'] |
nobody |
16-5225 16 days ago |
16-5225 16 days ago |
16-7540 16 days |
| 25327 |
YaelDillies author:YaelDillies |
feat: `F.obj M` is a commutative monoid object if `M` is |
From Toric
---
[](https://gitpod.io/from-referrer/)
|
toric |
11/3 |
Mathlib/CategoryTheory/Monoidal/CommMon_.lean,Mathlib/CategoryTheory/Monoidal/Mon_.lean |
2 |
1 |
['github-actions'] |
nobody |
15-79844 15 days ago |
33-2918 1 month ago |
33-2909 33 days |
| 26029 |
joelriou author:joelriou |
feat(CategoryTheory/Localization): the right derivability structure given by functorial resolutions |
This PR continues the work from #22586.
Original PR: https://github.com/leanprover-community/mathlib4/pull/22586 |
t-category-theory |
153/0 |
Mathlib.lean,Mathlib/CategoryTheory/Localization/DerivabilityStructure/OfFunctorialResolutions.lean,Mathlib/CategoryTheory/Localization/LocalizerMorphism.lean |
3 |
2 |
['github-actions', 'joelriou'] |
nobody |
15-78549 15 days ago |
15-78746 15 days ago |
15-78790 15 days |
| 25854 |
robin-carlier author:robin-carlier |
feat(CategoryTheory/Monoidal/Opposites): monoid objects internal to the monoidal opposite |
We construct an equivalence between monoid objects internal to a monoidal category `C`, and monoid objects internal to its monoidal opposite `Cᴹᵒᵖ`. This is done by adding `Mon_Class` and `IsMon_Hom` instance to the relevant objects, as well as by recording an explicit equivalence of categories `Mon_ C ≌ Mon_ Cᴹᵒᵖ`.
---
- [x] depends on: #25826
I made this depend on #25549 rather than making it work with the current def only to have it refactored when #25549 is merged.
[](https://gitpod.io/from-referrer/)
---
*This PR continues the work from #25626.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/25626* |
t-category-theory |
112/0 |
Mathlib.lean,Mathlib/CategoryTheory/Monoidal/Opposite/Mon_.lean |
2 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
15-66844 15 days ago |
17-64787 17 days ago |
17-64771 17 days |
| 25767 |
robin-carlier author:robin-carlier |
feat(CategoryTheory/Monoidal/Opposite): the equivalence `Cᴹᵒᵖᴹᵒᵖ ≌ C` is monoidal |
It was left as a TODO in #10415 that the equivalence `Cᴹᵒᵖᴹᵒᵖ ≌ C` is monoidal. We clear this todo.
---
- [x] depends on: #25766
This used to be a very low-hanging fruit.
[](https://gitpod.io/from-referrer/)
---
*This PR continues the work from #25628.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/25628* |
t-category-theory |
28/1 |
Mathlib/CategoryTheory/Monoidal/Opposite.lean |
1 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
15-66180 15 days ago |
17-64774 17 days ago |
17-64758 17 days |
| 26054 |
FMLJohn author:FMLJohn |
feat(RingTheory/GradedAlgebra/Homogeneous/Subsemiring): homogeneous subsemirings of a graded semiring |
---
[](https://gitpod.io/from-referrer/)
In this pull request, we have defined homogeneous subsemirings of `GradedRing 𝒜` where `𝒜 : ι → σ`, `SetLike σ A` and `AddSubmonoidClass σ A`.
## Main definitions
For any `R : Subsemiring A`:
* `Subsemiring.IsHomogeneous 𝒜 R`: The property that a subsemiring is closed under `GradedRing.proj`.
* `HomogeneousSubsemiring 𝒜`: The structure extending subsemirings which satisfy `Subsemiring.IsHomogeneous`. |
t-algebra label:t-algebra$ |
120/0 |
Mathlib.lean,Mathlib/RingTheory/GradedAlgebra/Homogeneous/Subsemiring.lean |
2 |
1 |
['github-actions'] |
nobody |
15-60276 15 days ago |
15-61248 15 days ago |
15-61232 15 days |
| 26067 |
mapehe author:mapehe |
feat(Topology/StoneCech): exists_continuous_surjection_from_StoneCech_to_dense_range |
This lemma formalises the following version of the maximality property of the Stone–Čech compactification: If `f : α → β` is a continuous map from a topological space `α` to a Hausdorff space `β` with dense range, then there exists a continuous surjection from `StoneCech α` to `β` extending `f`. In particular, `StoneCech α` is the “largest” compact Hausdorff space into which `α` densely embeds, in the sense that any other such space is a continuous image of it.
---
[](https://gitpod.io/from-referrer/)
|
t-topology |
18/0 |
Mathlib/Topology/StoneCech.lean |
1 |
1 |
['github-actions'] |
nobody |
15-15052 15 days ago |
15-15077 15 days ago |
15-15131 15 days |
| 26076 |
joelriou author:joelriou |
feat(AlgebraicTopology/SimplicialSet): uniqueness of the decomposition involving non-degenerate simplices |
Any simplex `x : X _⦋n⦌` of a simplicial set can be written in a unique way as `X.map f.op y` for an epimorphism `f : ⦋n⦌ ⟶ ⦋m⦌` and a non-degenerate `m`-simplex `y`.
---
This PR continues the work from #21103.
Original PR: https://github.com/leanprover-community/mathlib4/pull/21103 |
t-topology |
118/5 |
Mathlib/AlgebraicTopology/SimplexCategory/Basic.lean,Mathlib/AlgebraicTopology/SimplicialSet/Degenerate.lean |
2 |
2 |
['github-actions', 'joelriou'] |
nobody |
15-7382 15 days ago |
15-7393 15 days ago |
15-7440 15 days |
| 25183 |
YaelDillies author:YaelDillies |
feat: convolution product on linear maps from a coalgebra to an algebra |
Construct the ring structure on linear maps `C → A` where `C` is a coalgebra and `A` an algebra, where multiplication is given by
`(f * g)(x) = ∑ f x₍₁₎ * g x₍₂₎` in Sweedler notation or
```
|
μ
| | / \
f * g = f g
| | \ /
δ
|
```
diagrammatically, where `μ` stands for multiplication and `δ` for comultiplication.
[Zulip](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/.60Mul.60.20instance.20on.20algebra.20homomorphisms.20from.20monoid.20algebra)
From Toric
Co-authored-by: Michał Mrugała
Co-authored-by: Yunzhou Xie
---
[](https://gitpod.io/from-referrer/)
|
toric
t-algebra
label:t-algebra$ |
137/0 |
Mathlib.lean,Mathlib/RingTheory/Coalgebra/Convolution.lean |
2 |
15 |
['YaelDillies', 'erdOne', 'eric-wieser', 'github-actions', 'smorel394'] |
nobody |
15-6378 15 days ago |
38-57339 1 month ago |
38-61261 38 days |
| 26080 |
grunweg author:grunweg |
feat(Tactic/Positivity): extend EReal support for numeric casts |
Extend `pos_of_isNat` and `nonneg_of_isNat` to cover monoids which are not necessarily semirings, like EReal.
[Zulip discussion](https://leanprover.zulipchat.com/#narrow/channel/113488-general/topic/.22Missing.20Tactics.22.20list/near/519660424)
---
Original PR: https://github.com/leanprover-community/mathlib4/pull/25094 |
t-meta |
76/36 |
Mathlib/Tactic/Positivity/Core.lean,MathlibTest/positivity.lean |
2 |
3 |
['YaelDillies', 'github-actions', 'grunweg'] |
nobody |
14-78988 14 days ago |
14-81544 14 days ago |
14-81637 14 days |
| 26099 |
grunweg author:grunweg |
feat: add IsEmbedding.sumElim_of_separatingNhds |
Characterise when the Sum.elim of two inducing maps resp. embeddings is an embedding,
and deduce that the ranges of the two maps lying in separated neighbourhoods suffices.
This is used in my bordism theory project.
Co-authored by: @plp127
---
This PR was manually re-created (and migrated to a fork at the same time) from #22137, since that seemed easiest.
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-topology
|
115/0 |
Mathlib/Data/Sum/Basic.lean,Mathlib/Topology/Constructions/SumProd.lean |
2 |
1 |
['github-actions'] |
nobody |
14-74682 14 days ago |
14-74742 14 days ago |
14-74734 14 days |
| 25762 |
robin-carlier author:robin-carlier |
refactor(CategoryTheory/Monoidal/Mod_): refactor `Mod_` using `MonoidalLeftAction` |
Generalize the definition of `CategoryTheory.Monoidal.Mod_Class` and `CategoryTheory.Monoidal.Mod_` to modules in `D` over a monoid object in `C`, where `C` acts monoidally on `D`.
At the same time, we refactor `Mod_` in a way similar to the one `Mon_` has been refactored in #24646. i.e we favor `Mod_Class` in the definition and `Mod_`, and introduce a Prop-class `IsMod_Hom` to define morphisms of modules.
---
- [x] depends on: #25761
[](https://gitpod.io/from-referrer/)
---
*This PR continues the work from #25545.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/25545* |
t-category-theory |
203/113 |
Mathlib/CategoryTheory/Monoidal/Cartesian/Mod_.lean,Mathlib/CategoryTheory/Monoidal/Mod_.lean |
2 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
14-73683 14 days ago |
14-73683 14 days ago |
1-18084 1 day |
| 25365 |
YaelDillies author:YaelDillies |
feat: `CommAlgCat` is cocartesian-monoidal |
Construct the cocartesian-monoidal category structure on `CommAlgCat R` explicitly from the tensor product.
From Toric
Co-authored-by: Andrew Yang
Co-authored-by: Michał Mrugała
Co-authored-by: Christian Merten
---
[](https://gitpod.io/from-referrer/)
|
toric
t-algebra
label:t-algebra$ |
116/5 |
Mathlib.lean,Mathlib/Algebra/Category/CommAlgCat/Basic.lean,Mathlib/Algebra/Category/CommAlgCat/Monoidal.lean |
3 |
52 |
['YaelDillies', 'erdOne', 'github-actions', 'robin-carlier'] |
nobody |
14-71494 14 days ago |
30-81827 1 month ago |
30-82978 30 days |
| 26122 |
chrisflav author:chrisflav |
refactor(CategoryTheory/CoproductDisjoint): generalize to indexed coproducts |
We replace the currently existing `CoproductDisjoint` by a predicate for a family of objects, indicating that the pairwise
pullbacks are disjoint and the coproduct inclusions are monomorphisms.
The old predicate is recovered as `BinaryCoproductDisjoint` as an `abbrev`.
We also replace `CoproductsDisjoint` by `CoproductsOfShapeDisjoint` and `BinaryCoproductsDisjoint`. We postpone
the TODO to show that if binary coproducts are disjoint and suitable coproducts exist, then all coproducts of suitable shape are disjoint.
Note that `CoproductDisjoint` changed its meaning, so no deprecation can be added. This should be fine, since it is a leaf file that is hopefully not much used downstream.
Zulip discussion: https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/.60MonoCoprod.60.20and.20.60DisjointCoproduct.60/with/524752624
---
[](https://gitpod.io/from-referrer/)
|
t-category-theory |
198/89 |
Mathlib/CategoryTheory/Limits/Shapes/DisjointCoproduct.lean |
1 |
1 |
['github-actions'] |
nobody |
14-53068 14 days ago |
14-54349 14 days ago |
14-54332 14 days |
| 25949 |
themathqueen author:themathqueen |
feat(LinearAlgebra/Basis/MulOpposite): basis of an opposite space |
This adds the definition of `Basis.mulOpposite` and shows finite-dimensionality and freeness of `Hᵐᵒᵖ`.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebra
label:t-algebra$ |
48/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Basis/MulOpposite.lean |
2 |
1 |
['github-actions'] |
nobody |
14-52258 14 days ago |
17-6167 17 days ago |
17-6212 17 days |
| 25874 |
themathqueen author:themathqueen |
feat(LinearAlgebra/InvariantSubmodule): invariant submodules |
Defining and proving some lemmas on invariant submodules.
This is a (2-year late) port from leanprover-community/mathlib3#18289.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebra
label:t-algebra$ |
176/0 |
Mathlib.lean,Mathlib/Algebra/Group/Commute/Units.lean,Mathlib/LinearAlgebra/GeneralLinearGroup.lean,Mathlib/LinearAlgebra/InvariantSubmodule.lean,Mathlib/LinearAlgebra/Projection.lean |
5 |
1 |
['github-actions'] |
nobody |
14-51172 14 days ago |
18-64798 18 days ago |
18-64844 18 days |
| 25858 |
themathqueen author:themathqueen |
feat(RingTheory/Coalgebra/MulOpposite): coalgebra instance for MulOpposite |
Adding an instance for `Aᵐᵒᵖ` being an `R`-coalgebra when `A` is.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebra
label:t-algebra$ |
112/0 |
Mathlib.lean,Mathlib/RingTheory/Coalgebra/MulOpposite.lean |
2 |
1 |
['github-actions'] |
nobody |
14-48449 14 days ago |
18-80248 18 days ago |
18-80293 18 days |
| 26110 |
YaelDillies author:YaelDillies |
feat: sharp monoids |
Define sharp monoids, which are the monoids whose only unit is `1`. This concept is useful in log geometry and in particular shows up in the theory of affine monoids.
This concept already existed in the guise of `Subsingleton Mˣ`, but giving it a name makes it easier to refer to and uncovers some missing instances.
From Toric
---
[](https://gitpod.io/from-referrer/)
|
toric
t-algebra
label:t-algebra$ |
51/30 |
Mathlib/Algebra/BigOperators/Associated.lean,Mathlib/Algebra/BigOperators/Group/Finset/Basic.lean,Mathlib/Algebra/GCDMonoid/Basic.lean,Mathlib/Algebra/Group/Irreducible/Defs.lean,Mathlib/Algebra/Group/Pi/Units.lean,Mathlib/Algebra/Group/Prod.lean,Mathlib/Algebra/Group/Submonoid/Units.lean,Mathlib/Algebra/Group/Units/Basic.lean,Mathlib/Algebra/Group/Units/Defs.lean,Mathlib/Algebra/GroupWithZero/Associated.lean,Mathlib/Algebra/GroupWithZero/Divisibility.lean,Mathlib/Data/List/Prime.lean,Mathlib/Data/ZMod/Basic.lean,Mathlib/NumberTheory/DirichletCharacter/Basic.lean,Mathlib/RingTheory/ChainOfDivisors.lean,Mathlib/RingTheory/IntegralDomain.lean,Mathlib/RingTheory/UniqueFactorizationDomain/NormalizedFactors.lean,Mathlib/RingTheory/Valuation/Integers.lean |
18 |
1 |
['b-mehta', 'github-actions'] |
nobody |
14-6137 14 days ago |
14-69196 14 days ago |
14-69248 14 days |
| 26074 |
oliver-butterley author:oliver-butterley |
feat(Mathlib.Dynamics.BirkhoffSum): add 2 lemmas for birkhoffSum/birkhoffAverage concerning ae_eq observables |
If two observables are `ae_eq` then the birkhoffSum/birkhoffAverage of those observables are `ae_eq`.
Motivation:
- Generally it is useful to be able to swap to observables which are `ae_eq`.
- Specifically this is useful to prove Birkhoff's pointwise ergodic theorem by first proving the result for integrable and measurable observables and then using this to deduce the result with just the requirement of integrable.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-dynamics
|
44/0 |
Mathlib.lean,Mathlib/Dynamics/BirkhoffSum/QuasiMeasurePreserving.lean |
2 |
10 |
['github-actions', 'oliver-butterley', 'sgouezel'] |
nobody |
14-5981 14 days ago |
15-9489 15 days ago |
15-9532 15 days |
| 24998 |
YaelDillies author:YaelDillies |
chore(Algebra/Notation): separate very basic lemmas about `Set.indicator` and `Pi.single` |
The very basic lemmas go under `Algebra.Notation` and do not import `Monoid`.
This is useful to disentangle `Finsupp` results downstream.
---
- [x] depends on: #25040
[](https://gitpod.io/from-referrer/)
|
file-removed |
720/641 |
Mathlib.lean,Mathlib/Algebra/BigOperators/Finprod.lean,Mathlib/Algebra/BigOperators/Group/Finset/Lemmas.lean,Mathlib/Algebra/BigOperators/GroupWithZero/Finset.lean,Mathlib/Algebra/BigOperators/Pi.lean,Mathlib/Algebra/Divisibility/Prod.lean,Mathlib/Algebra/Group/End.lean,Mathlib/Algebra/Group/Equiv/TypeTags.lean,Mathlib/Algebra/Group/Fin/Tuple.lean,Mathlib/Algebra/Group/Finsupp.lean,Mathlib/Algebra/Group/Hom/Defs.lean,Mathlib/Algebra/Group/Indicator.lean,Mathlib/Algebra/Group/Nat/Hom.lean,Mathlib/Algebra/Group/NatPowAssoc.lean,Mathlib/Algebra/Group/Pi/Basic.lean,Mathlib/Algebra/Group/Pointwise/Set/Scalar.lean,Mathlib/Algebra/Group/Prod.lean,Mathlib/Algebra/Group/Support.lean,Mathlib/Algebra/Group/TypeTags/Basic.lean,Mathlib/Algebra/GroupWithZero/Action/Defs.lean,Mathlib/Algebra/GroupWithZero/Indicator.lean,Mathlib/Algebra/Homology/Additive.lean,Mathlib/Algebra/Module/Basic.lean,Mathlib/Algebra/Notation/FiniteSupport.lean,Mathlib/Algebra/Notation/Indicator.lean,Mathlib/Algebra/Notation/Pi/Basic.lean,Mathlib/Algebra/Notation/Pi/Defs.lean,Mathlib/Algebra/Notation/Support.lean,Mathlib/Algebra/Order/Field/Pi.lean,Mathlib/Algebra/Order/Group/Unbundled/Abs.lean,Mathlib/Algebra/Order/GroupWithZero/Unbundled/Basic.lean,Mathlib/Algebra/Order/Sub/Prod.lean,Mathlib/Algebra/Order/Sum.lean,Mathlib/Algebra/Ring/CharZero.lean,Mathlib/Algebra/Ring/Hom/Defs.lean,Mathlib/CategoryTheory/Limits/Shapes/ZeroMorphisms.lean,Mathlib/Combinatorics/Additive/Dissociation.lean,Mathlib/Combinatorics/SimpleGraph/Bipartite.lean,Mathlib/Data/Finsupp/Basic.lean,Mathlib/Data/Finsupp/Defs.lean,Mathlib/Data/Finsupp/Single.lean,Mathlib/Data/Int/CharZero.lean,Mathlib/Data/Set/Pointwise/Support.lean,Mathlib/GroupTheory/FreeGroup/Basic.lean,Mathlib/MeasureTheory/MeasurableSpace/Basic.lean,Mathlib/Order/Filter/Basic.lean,Mathlib/Order/Filter/EventuallyConst.lean,Mathlib/Order/Interval/Set/Pi.lean,Mathlib/RingTheory/HahnSeries/Addition.lean,Mathlib/RingTheory/HahnSeries/Basic.lean,Mathlib/Topology/Algebra/Indicator.lean,Mathlib/Topology/IndicatorConstPointwise.lean,Mathlib/Topology/LocallyConstant/Basic.lean,Mathlib/Topology/LocallyFinsupp.lean,Mathlib/Topology/Separation/Basic.lean,Mathlib/Topology/Separation/DisjointCover.lean |
56 |
11 |
['YaelDillies', 'eric-wieser', 'github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
14-5944 14 days ago |
14-13580 14 days ago |
37-71396 37 days |
| 26141 |
kebekus author:kebekus |
feat: compute trailing coefficients of factorized rational functions |
This PR continues the work from #25523.
Original PR: https://github.com/leanprover-community/mathlib4/pull/25523 |
t-analysis |
180/3 |
Mathlib/Analysis/Meromorphic/FactorizedRational.lean,Mathlib/Analysis/Meromorphic/TrailingCoefficient.lean |
2 |
3 |
['github-actions', 'kebekus'] |
nobody |
14-2566 14 days ago |
14-2630 14 days ago |
14-3117 14 days |
| 26142 |
YaelDillies author:YaelDillies |
chore(GeomSum): split into ring vs field and non-ordered vs ordered parts |
The motivation here is that `Data.Nat.Multiplicity` needs the results about geometric sums of naturals, without wanting to know anyrthing about fields.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
708/638 |
Archive/Imo/Imo1982Q3.lean,Archive/Imo/Imo2013Q5.lean,Archive/Wiedijk100Theorems/PerfectNumbers.lean,Counterexamples/ZeroDivisorsInAddMonoidAlgebras.lean,Mathlib.lean,Mathlib/Algebra/Field/GeomSum.lean,Mathlib/Algebra/GeomSum.lean,Mathlib/Algebra/Order/CauSeq/BigOperators.lean,Mathlib/Algebra/Order/Field/GeomSum.lean,Mathlib/Algebra/Order/Ring/GeomSum.lean,Mathlib/Algebra/Ring/GeomSum.lean,Mathlib/Analysis/Polynomial/CauchyBound.lean,Mathlib/Analysis/SpecificLimits/Basic.lean,Mathlib/Analysis/SpecificLimits/FloorPow.lean,Mathlib/Combinatorics/Colex.lean,Mathlib/Combinatorics/SetFamily/KruskalKatona.lean,Mathlib/Data/Nat/Multiplicity.lean,Mathlib/LinearAlgebra/Projectivization/Cardinality.lean,Mathlib/LinearAlgebra/Vandermonde.lean,Mathlib/NumberTheory/Basic.lean,Mathlib/NumberTheory/FactorisationProperties.lean,Mathlib/NumberTheory/MulChar/Basic.lean,Mathlib/NumberTheory/Multiplicity.lean,Mathlib/RingTheory/AdicCompletion/Basic.lean,Mathlib/RingTheory/Ideal/Quotient/Index.lean,Mathlib/RingTheory/Idempotents.lean,Mathlib/RingTheory/IntegralDomain.lean,Mathlib/RingTheory/Nilpotent/Basic.lean,Mathlib/RingTheory/Polynomial/Basic.lean,Mathlib/Tactic/NormNum/Irrational.lean |
30 |
1 |
['github-actions'] |
nobody |
14-887 14 days ago |
14-887 14 days ago |
14-881 14 days |
| 26154 |
ADedecker author:ADedecker |
refactor: add refactored APIs for algebraic filter bases |
This PR continues the work from #18437.
Original PR: https://github.com/leanprover-community/mathlib4/pull/18437 |
t-topology |
651/0 |
Mathlib.lean,Mathlib/Topology/Algebra/FilterBasis.lean,Mathlib/Topology/Algebra/FilterBasisNew.lean,Mathlib/Topology/Algebra/Nonarchimedean/Bases.lean,Mathlib/Topology/Algebra/Nonarchimedean/BasesNew.lean |
5 |
2 |
['ADedecker', 'github-actions'] |
nobody |
13-81759 13 days ago |
13-81759 13 days ago |
13-81818 13 days |
| 26137 |
xroblot author:xroblot |
feat(NumberField): specialized version of Kummer Dedekind for the splitting of prime numbers (part 1) |
First part of the Kummer-Dedekind isomorphism for the splitting of rational prime numbers in number fields.
We define the `exponent` of an algebraic integer `θ` and define the isomorphism between `(ℤ / pℤ)[X] / (minpoly θ)` and `𝓞 K / p(𝓞 K)` for primes `p` which doesn't divide the exponent of `θ`.
---
[](https://gitpod.io/from-referrer/)
|
t-number-theory |
133/0 |
Mathlib.lean,Mathlib/NumberTheory/NumberField/Ideal/KummerDedekind.lean,Mathlib/Order/Atoms.lean,Mathlib/RingTheory/Ideal/Span.lean |
4 |
1 |
['github-actions'] |
nobody |
13-80260 13 days ago |
13-80260 13 days ago |
14-12613 14 days |
| 26157 |
erdOne author:erdOne |
chore(RingTheory): Merge `Mathlib/RingTheory/LocalRing/ResidueField/Algebraic.lean` into `Instances.lean` |
This was added a week ago by myself so I don't think a deprecation is needed
---
[](https://gitpod.io/from-referrer/)
|
file-removed |
22/34 |
Mathlib.lean,Mathlib/NumberTheory/RamificationInertia/Unramified.lean,Mathlib/RingTheory/LocalRing/ResidueField/Algebraic.lean,Mathlib/RingTheory/LocalRing/ResidueField/Instances.lean |
4 |
1 |
['github-actions'] |
nobody |
13-77361 13 days ago |
13-77522 13 days ago |
13-77575 13 days |
| 26159 |
upobir author:upobir |
feat(Algebra/QuadraticDiscriminant): Adding inequalities on quadratic from inequalities on discriminant |
This PR continues the work from #24517.
Original PR: https://github.com/leanprover-community/mathlib4/pull/24517 |
t-algebra label:t-algebra$ |
35/0 |
Mathlib/Algebra/QuadraticDiscriminant.lean |
1 |
3 |
['github-actions', 'upobir'] |
nobody |
13-76067 13 days ago |
13-76503 13 days ago |
13-76547 13 days |
| 25292 |
YaelDillies author:YaelDillies |
feat: the `ConvexCone` generated by a set |
Define `ConvexCone.copy` and `ConvexCone.hull` and use them to golf the `CompleteLattice` instance.
From Toric
---
- [x] depends on: #25291
[](https://gitpod.io/from-referrer/)
|
t-convex-geometry
toric
|
99/32 |
Mathlib/Analysis/Convex/Cone/Basic.lean,Mathlib/Geometry/Convex/Cone/Basic.lean |
2 |
3 |
['github-actions', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
13-75448 13 days ago |
14-3473 14 days ago |
14-4145 14 days |
| 25002 |
YaelDillies author:YaelDillies |
chore(Finsupp): move order properties under `Order` |
---
[](https://gitpod.io/from-referrer/)
|
large-import |
357/323 |
Mathlib.lean,Mathlib/Algebra/Group/Finsupp.lean,Mathlib/Algebra/MvPolynomial/Basic.lean,Mathlib/Algebra/Order/Floor/Div.lean,Mathlib/Data/Finsupp/Ext.lean,Mathlib/Data/Finsupp/Multiset.lean,Mathlib/Data/Finsupp/Order.lean,Mathlib/Data/Finsupp/PWO.lean,Mathlib/Data/Finsupp/Pointwise.lean,Mathlib/Data/Finsupp/SMulWithZero.lean,Mathlib/Data/Finsupp/Single.lean,Mathlib/Data/Finsupp/Weight.lean,Mathlib/Data/List/ToFinsupp.lean,Mathlib/Data/Nat/Choose/Multinomial.lean,Mathlib/Data/Nat/Factorization/Defs.lean,Mathlib/Order/Preorder/Finsupp.lean |
16 |
6 |
['github-actions', 'leanprover-community-bot-assistant'] |
nobody |
13-74694 13 days ago |
13-86270 13 days ago |
14-727 14 days |
| 24149 |
YaelDillies author:YaelDillies |
refactor(Convex/Cone): streamline duality |
The current library on cones is very centered around normed and Hilbert spaces.
This is inconvenient for us in Toric where we have two spaces $M$, and $N$ that are non-canonically isomorphic to $ℐ R^n$ (for the same $n$). Although we could identify $M$ and $N$ with $ℐ R^n$ and get an inner product on $M = N = ℐ R^n$ this way, we would lose the contravariance (resp. covariance) of $M$ (resp. $N$) in the group scheme that indexes them.
We would instead like to have results that apply to perfect pairings $p : M → N → ℐ R$ out of the box.
Not all the theory can be generalised, of course. So, in terms of file structure, we need to draw the line somewhere. We propose to draw it at the import of `NormedAddCommGroup`, as this is the time where the scalars suddenly get fixed to the reals, instead of an arbitrary ordered ring. This line passes through individual files, which therefore need to be split.
We operate this separation by moving the cone content that doesn't require a norm under a new folder `Geometry.Convex.Cone`. The content that does require it stays in `Analysis.Convex.Cone`. A similar operation could be performed for the rest of the `Analysis.Convex`, but it seems wiser to do so simultaneously with the convexity refactor.
Changes performed include:
* Renaming the variable `𝕜` to `R` when it is merely a ring
* Splitting files according to normless normful parts
* Completing the existing APIs
* Redefining `ProperCone R M` as an `abbrev` for `ClosedSubmodule R≥0 M`, similarly to how `PointedCone R M` is an `abbrev` for `Submodule R≥0 M`.
* Replacing the three dual cones definitions we have:
* `Set.innerDualCone : Set H → ConvexCone ℝ H`
* `PointedCone.dual : PointedCone ℝ H → PointedCone ℝ H`
* `ProperCone.dual : ProperCone ℝ H → ProperCone ℝ H`
by three new ones:
* `PointedCone.dual : Set M → PointedCone R N` for a bilinear pairing `p : M →ₗ[R] N →ₗ[R] R`
* `ProperCone.dual : Set M → ProperCone R N` for a continuous perfect pairing `p : M →ₗ[R] N →ₗ[R] R`
* `ProperCone.innerDual : Set H → ProperCone ℝ H` for an inner product space `H`
From Toric
---
- [x] depends on: #24229
- [x] depends on: #24230
- [x] depends on: #24231
- [x] depends on: #24232
- [x] depends on: #24233
- [x] depends on: #24234
- [x] depends on: #24235
- [x] depends on: #24236
- [x] depends on: #24237
- [x] depends on: #24304
- [x] depends on: #25204
- [x] depends on: #25251
- [x] depends on: #25252
[](https://gitpod.io/from-referrer/)
|
toric
t-analysis
|
395/206 |
Mathlib.lean,Mathlib/Analysis/Convex/Cone/Basic.lean,Mathlib/Analysis/Convex/Cone/Dual.lean,Mathlib/Analysis/Convex/Cone/InnerDual.lean,Mathlib/Geometry/Convex/Cone/Dual.lean,Mathlib/Geometry/Convex/Cone/README.md |
6 |
14 |
['YaelDillies', 'github-actions', 'justus-springer', 'leanprover-community-bot-assistant', 'mathlib4-dependent-issues-bot'] |
nobody |
13-74565 13 days ago |
13-75690 13 days ago |
15-72614 15 days |
| 26170 |
linesthatinterlace author:linesthatinterlace |
feat: Add definition of `symmEquiv` |
Ad an equivalence version of `Equiv.symm` and similar operations.
---
[](https://gitpod.io/from-referrer/)
|
|
19/0 |
Mathlib/Algebra/Group/Equiv/Defs.lean,Mathlib/Algebra/Module/Equiv/Defs.lean,Mathlib/Logic/Equiv/Defs.lean |
3 |
3 |
['github-actions', 'plp127'] |
nobody |
13-54678 13 days ago |
13-72769 13 days ago |
13-72751 13 days |
| 26156 |
oliver-butterley author:oliver-butterley |
feat(MeasureTheory.VectorMeasure) : add a definition of total variation for VectorMeasure |
This PR adds variation for any `VectorMeasure` using a supremum definition. Currently mathlib has `TotalVariation` defined for a signed measure using the Hahn-Jordan decomposition, but this doesn't generalise.
Motivation: generally this is an important concept but specifically as a step for proving RMK in the complex case which in turn is a step to prove the spectral theorem.
Co-authored-by: @yoh-tanimoto
This PR was migrated from #25442. PR divided into smaller pieces, this is just the definition without additional lemmas. PRs adding further results related to variation are:
* #26160
* #26165
* #26168 (shows that for `SignedMeasures` the two definitions of variation coincide)
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-measure-probability
|
354/0 |
Mathlib.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Defs.lean |
2 |
1 |
['github-actions'] |
nobody |
13-11429 13 days ago |
13-78846 13 days ago |
13-78895 13 days |
| 26160 |
oliver-butterley author:oliver-butterley |
feat(MeasureTheory.VectorMeasure): add several lemmas which characterize variation |
Add the following lemmas concerning variation of a VectorMeasure:
* `norm_measure_le_variation`: `‖μ E‖ₑ ≤ variation μ E`.
* `variation_neg`: `(-μ).variation = μ.variation`.
* `variation_zero`: `(0 : VectorMeasure X V).variation = 0`.
* `absolutelyContinuous`
Co-authored-by: @yoh-tanimoto
Depends on
* #26156
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-measure-probability
|
432/0 |
Mathlib.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Defs.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Lemmas.lean |
3 |
1 |
['github-actions'] |
nobody |
13-11373 13 days ago |
13-76428 13 days ago |
13-76479 13 days |
| 26165 |
oliver-butterley author:oliver-butterley |
feat(MeasureTheory.VectorMeasure): add lemma which shows that variation of a `ℝ≥0∞` VectorMeasure is equal to itself |
Add a lemma for the variation of a VectorMeasure which tells that if `μ` is `VectorMeasure X ℝ≥0∞` then `variation μ = μ`.
Co-authored-by: @yoh-tanimoto
Depends on
* #26160
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-measure-probability
|
467/0 |
Mathlib.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Defs.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Lemmas.lean |
3 |
1 |
['github-actions'] |
nobody |
13-11352 13 days ago |
13-73824 13 days ago |
13-73870 13 days |
| 26168 |
oliver-butterley author:oliver-butterley |
feat(MeasureTheory.VectorMeasure) : variation defined as a supremum is equal to variation defined using the Hahn-Jordan decomposition. |
Add `signedMeasure_totalVariation_eq`: if `μ` is a `SignedMeasure` then variation defined as a supremum is equal to variation defined using the Hahn-Jordan decomposition.
Co-authored-by: @yoh-tanimoto
Depends on:
* #26165
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-measure-probability
|
680/0 |
Mathlib.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Defs.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Equiv.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Lemmas.lean |
4 |
1 |
['github-actions'] |
nobody |
13-11338 13 days ago |
13-72962 13 days ago |
13-73009 13 days |
| 26199 |
Vierkantor author:Vierkantor |
fix(Algebra): `MulMemClass.mul_mem` should not be `aesop safe` |
The `@[aesop safe apply]` attribute only applies to implications that preserve provability. So for `mul_mem (ha : a ∈ s) (hb : b ∈ s) : a * b ∈ s`, there are ways to prove `a * b ∈ s` while `b ∉ s`, such as when `s` is an ideal and `a ∈ s`.
So, instead give `MulMemClass.mul_mem` and `AddMemClass.add_mem` the unsafe attribute, and add `Ideal.mul_mem_left` and `Ideal.mul_mem_right` to the aesop with the same `unsafe` attribute. Now we can prove membership of ideals a bit more easily.
Original PR: https://github.com/leanprover-community/mathlib4/pull/24112 |
t-algebra label:t-algebra$ |
5/1 |
Mathlib/Algebra/Group/Subsemigroup/Defs.lean,Mathlib/RingTheory/Ideal/Defs.lean |
2 |
2 |
['Vierkantor', 'github-actions'] |
nobody |
13-7356 13 days ago |
13-7415 13 days ago |
13-7479 13 days |
| 26200 |
adomani author:adomani |
fix: add label when landrun fails |
Adds the `permission-denied` label on PRs that get blocked by landrun.
---
[](https://gitpod.io/from-referrer/)
|
CI |
68/8 |
.github/build.in.yml,.github/workflows/bors.yml,.github/workflows/build.yml,.github/workflows/build_fork.yml |
4 |
1 |
['github-actions'] |
nobody |
13-6923 13 days ago |
13-6929 13 days ago |
13-6975 13 days |
| 25662 |
erdOne author:erdOne |
chore: redefine `LocalizedModule` |
---
[](https://gitpod.io/from-referrer/)
|
|
197/229 |
Mathlib/Algebra/Module/LocalizedModule/Basic.lean,Mathlib/AlgebraicGeometry/Modules/Tilde.lean,Mathlib/GroupTheory/OreLocalization/Basic.lean,Mathlib/GroupTheory/OreLocalization/OreSet.lean,Mathlib/RingTheory/OreLocalization/Ring.lean,Mathlib/RingTheory/TensorProduct/Nontrivial.lean |
6 |
11 |
['erdOne', 'eric-wieser', 'github-actions', 'kckennylau', 'leanprover-bot'] |
nobody |
13-6781 13 days ago |
22-73198 22 days ago |
22-73206 22 days |
| 26219 |
Thmoas-Guan author:Thmoas-Guan |
feat(RingTheory/KrullDimension): Krull Dimension of quotient regular sequence |
We show that if M is a finite module over a Noetherian local ring R, [r₁, …, rₙ] is an M-sequence, then dim M⧸(r₁, …, rₙ)M + n = dim M.
Co-authored-by: Yongle Hu @mbkybky
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
241/24 |
Mathlib.lean,Mathlib/Algebra/Module/Submodule/Lattice.lean,Mathlib/LinearAlgebra/Quotient/Basic.lean,Mathlib/RingTheory/Ideal/MinimalPrime/Localization.lean,Mathlib/RingTheory/KrullDimension/Module.lean,Mathlib/RingTheory/KrullDimension/Regular.lean,Mathlib/RingTheory/Nakayama.lean,Mathlib/RingTheory/Spectrum/Prime/LTSeries.lean,Mathlib/RingTheory/Support.lean |
9 |
2 |
['Thmoas-Guan', 'github-actions'] |
nobody |
12-82011 12 days ago |
12-82746 12 days ago |
12-82797 12 days |
| 26070 |
riccardobrasca author:riccardobrasca |
feat: add Mathlib.RingTheory.DedekindDomain.Instances |
We add a new file `Mathlib.RingTheory.DedekindDomain.Instances` containing various instances that are useful to work with the localization a prime of an extension of Dedekind domains. As a practical example we golf a tedious proof in `Mathlib.RingTheory.Ideal/Norm.RelNorm`.
---
Original PR: https://github.com/leanprover-community/mathlib4/pull/21522 |
large-import
t-algebra
t-number-theory
label:t-algebra$ |
255/73 |
Mathlib.lean,Mathlib/RingTheory/DedekindDomain/Different.lean,Mathlib/RingTheory/DedekindDomain/Instances.lean,Mathlib/RingTheory/DedekindDomain/IntegralClosure.lean,Mathlib/RingTheory/Ideal/Norm/RelNorm.lean,Mathlib/RingTheory/IntegralClosure/IntegralRestrict.lean,Mathlib/RingTheory/Localization/AtPrime.lean,Mathlib/RingTheory/Localization/Basic.lean,Mathlib/RingTheory/Localization/LocalizationLocalization.lean,Mathlib/RingTheory/RingHom/Finite.lean,Mathlib/RingTheory/Trace/Quotient.lean |
11 |
4 |
['erdOne', 'github-actions', 'riccardobrasca'] |
nobody |
12-75002 12 days ago |
15-12894 15 days ago |
15-13045 15 days |
| 26225 |
Raph-DG author:Raph-DG |
feat(AlgebraicGeometry): Add some minimal API for orders on schemes |
In this PR we add some minimal api for the ordering on schemes defined in #26204. We chose split these PRs because we expect there will be more discussion about this API, and having the preorder instance is useful in its own right without much added API.
- [] depends on: #26204
---
[](https://gitpod.io/from-referrer/)
|
t-algebraic-geometry |
16/0 |
Mathlib/AlgebraicGeometry/Properties.lean,Mathlib/AlgebraicGeometry/Scheme.lean |
2 |
1 |
['github-actions'] |
nobody |
12-72737 12 days ago |
12-72746 12 days ago |
12-72791 12 days |
| 26226 |
chrisflav author:chrisflav |
chore(AlgebraicGeometry/Limits): undeprecate `sigmaOpenCover` |
The replacement has the indexing type wrapped in `Discrete` which is inconvenient in practice.
---
[](https://gitpod.io/from-referrer/)
|
t-algebraic-geometry |
5/3 |
Mathlib/AlgebraicGeometry/Limits.lean |
1 |
1 |
['erdOne', 'github-actions'] |
nobody |
12-71933 12 days ago |
12-72221 12 days ago |
12-72206 12 days |
| 26220 |
linesthatinterlace author:linesthatinterlace |
fix: Removes explict `FunLike` instance for `Equiv` |
Remove explict `FunLike` instance for `Equiv`.
---
This is a somewhat experimental PR and I want to check there isn't a performance issue from doing this.
[](https://gitpod.io/from-referrer/)
|
t-logic |
24/22 |
Mathlib/Algebra/Category/AlgCat/Limits.lean,Mathlib/Algebra/Category/MonCat/Limits.lean,Mathlib/Algebra/Category/Ring/Limits.lean,Mathlib/Data/FunLike/Equiv.lean,Mathlib/Logic/Equiv/Defs.lean,Mathlib/Order/Interval/Finset/Defs.lean |
6 |
1 |
['github-actions'] |
nobody |
12-71632 12 days ago |
12-71632 12 days ago |
12-71624 12 days |
| 25369 |
Paul-Lez author:Paul-Lez |
feat(Order/Fin/CircularOrder): add some basic results about the circular order on Fin |
Co-authored-by: Oliver Nash
---
[](https://gitpod.io/from-referrer/)
|
t-order |
48/0 |
Mathlib.lean,Mathlib/Order/Circular.lean,Mathlib/Order/Circular/ZMod.lean |
3 |
11 |
['Paul-Lez', 'YaelDillies', 'eric-wieser', 'github-actions'] |
bryangingechen assignee:bryangingechen |
12-64952 12 days ago |
12-64952 12 days ago |
16-12544 16 days |
| 26130 |
kmill author:kmill |
feat: make `reassoc_of%` be able to defer `Category` instance |
This PR modifies the elaboration of `reassoc_of%` so that the `Category` instance can be synthesized later, like any other instance metavariable, rather than needing to be synthesized up front, when the category itself might not yet be known.
This fixes an issue reported by Robert Maxton [on Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/reassoc_of.25.20misleading.20error/near/524678383), where in the following `reassoc_of% Sigma.ι_desc` was failing.
```lean
import Mathlib.CategoryTheory.Limits.Shapes.Products
open CategoryTheory Limits
set_option autoImplicit true
variable {C : Type u} [Category.{v, u} C]
{β : Type w} {f : β → C} [HasCoproduct f] {P : C}
(p : (b : β) → f b ⟶ P) (b : β)
example {Q : C} (g : P ⟶ Q) : Sigma.ι f b ≫ Sigma.desc p ≫ g = p b ≫ g := by
rw [reassoc_of% Sigma.ι_desc]
```
Without this PR, a workaround is writing `reassoc_of% @Sigma.ι_desc`.
The PR adds `Lean.Meta.withEnsuringLocalInstance` for temporarily adding a metavariable as a local instance if it can't yet be synthesized.
---
[](https://gitpod.io/from-referrer/)
|
t-meta |
91/20 |
Mathlib/Lean/Meta/Basic.lean,Mathlib/Tactic/CategoryTheory/IsoReassoc.lean,Mathlib/Tactic/CategoryTheory/Reassoc.lean,MathlibTest/CategoryTheory/Reassoc.lean |
4 |
6 |
['github-actions', 'kmill', 'leanprover-bot', 'sgouezel'] |
nobody |
12-51981 12 days ago |
14-22872 14 days ago |
14-22855 14 days |
| 25883 |
pfaffelh author:pfaffelh |
feat: introduce Gram matrices |
A Gram matrix has entry `⟪v i, v j⟫` at `i j : n`, where `v : n → α` is an `InnerProductSpace 𝕜 α`.
Give this notion and show that Gram matrices are positive semi-definite.
This will be used later in order to show that the covariance matrix for Brownian Motion is positive semi-definite.
[](https://gitpod.io/from-referrer/)
---
*This PR continues the work from #24575.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/24575* |
migrated-from-branch
new-contributor
|
157/2 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/GramMatrix.lean,Mathlib/MeasureTheory/Function/L2Space.lean |
3 |
8 |
['eric-wieser', 'github-actions', 'pfaffelh'] |
nobody |
12-48086 12 days ago |
18-49336 18 days ago |
18-49689 18 days |
| 26240 |
grunweg author:grunweg |
perf(CommandLinterLinter): use Substring more |
Probably, these changes make little difference, but let's find out.
---
[](https://gitpod.io/from-referrer/)
|
t-linter
RFC
|
14/15 |
Mathlib/Tactic/Linter/CommandStart.lean |
1 |
5 |
['github-actions', 'leanprover-bot', 'leanprover-community-mathlib4-bot'] |
nobody |
12-46137 12 days ago |
12-46137 12 days ago |
12-50750 12 days |
| 26243 |
DavidLedvinka author:DavidLedvinka |
feat(Topology): Add PairReduction.lean |
Add file PairReduction.lean which proves the theorem `pair_reduction` which is needed for the proof of the general Kolmogorov-Chentsov theorem in the Brownian Motion project.
Co-authored-by: @RemyDegenne |
t-topology |
435/0 |
Mathlib.lean,Mathlib/Topology/EMetricSpace/PairReduction.lean |
2 |
1 |
['github-actions'] |
nobody |
12-17768 12 days ago |
12-29044 12 days ago |
0-1394 23 minutes |
| 26258 |
kckennylau author:kckennylau |
feat(Topology): induction for sheafification |
---
I currently have binary and unary operation, which should be enough for sheaves.
[](https://gitpod.io/from-referrer/)
|
t-topology |
62/1 |
Mathlib/Topology/Sheaves/LocalPredicate.lean |
1 |
1 |
['github-actions'] |
nobody |
11-59767 11 days ago |
11-59876 11 days ago |
11-59939 11 days |
| 26061 |
kckennylau author:kckennylau |
feat(AlgebraicGeometry): define Projective Space |
This defines the projective space over a scheme, indexed by an arbitrary type.
---
Zulip discussion: [#maths > Projective Space](https://leanprover.zulipchat.com/#narrow/channel/116395-maths/topic/Projective.20Space/with/524057860)
[](https://gitpod.io/from-referrer/)
|
t-algebraic-geometry |
63/0 |
Mathlib.lean,Mathlib/AlgebraicGeometry/ProjectiveSpace.lean |
2 |
14 |
['callesonne', 'erdOne', 'github-actions', 'kckennylau'] |
nobody |
11-57642 11 days ago |
15-38906 15 days ago |
15-38953 15 days |
| 26259 |
Raph-DG author:Raph-DG |
feat(Topology): Connecting different notions of locally finite |
In this PR we connect the notions of local finiteness of an indexed family of sets (as in LocallyFinite) and of a set of sets (as in Function.locallyFinsuppWithin)
---
[](https://gitpod.io/from-referrer/)
|
t-topology |
32/0 |
Mathlib/Topology/LocallyFinsupp.lean |
1 |
3 |
['Raph-DG', 'github-actions', 'kckennylau'] |
nobody |
11-11110 11 days ago |
11-59671 11 days ago |
11-59714 11 days |
| 26120 |
vasnesterov author:vasnesterov |
feat(Data/Seq): `modify` and `set` operations for `Seq` |
Introduce `modify` and `set` operations for sequences, along with a few lemmas about them.
---
- [x] depends on: #20071
[](https://gitpod.io/from-referrer/)
This PR continues the work from #20160.
Original PR: https://github.com/leanprover-community/mathlib4/pull/20160 |
t-data |
69/0 |
Mathlib/Data/Seq/Seq.lean |
1 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'vasnesterov'] |
nobody |
10-74755 10 days ago |
14-56091 14 days ago |
14-56142 14 days |
| 26247 |
vasnesterov author:vasnesterov |
perf(Topology/Metrizable): lower `IsCompletelyMetrizableSpace.MetrizableSpace` priority |
This PR continues the work from #24967.
Original PR: https://github.com/leanprover-community/mathlib4/pull/24967 |
t-topology
easy
|
3/1 |
Mathlib/Topology/Metrizable/CompletelyMetrizable.lean |
1 |
6 |
['github-actions', 'mathlib-bors', 'vasnesterov'] |
nobody |
10-73844 10 days ago |
10-73845 10 days ago |
12-7860 12 days |
| 25837 |
jt496 author:jt496 |
feat(Combinatorics/SimpleGraph): add homOfConnectedComponents and related results |
Given homomorphisms of each connected component of `G : SimpleGraph α` into `H : SimpleGraph β `give the corresponding `G →g H`
Hence prove that G is n - colorable iff each connected component is n - colorable.
Also prove that G is 2-colorable iff it does not contain an odd length loop (closed walk).
I wasn't sure where to put this - it probably belongs in SimpleGraph.ConcreteColorings?
---
[](https://gitpod.io/from-referrer/)
---
*This PR continues the work from #24546.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/24546* |
t-combinatorics |
36/0 |
Mathlib/Combinatorics/SimpleGraph/Coloring.lean,Mathlib/Combinatorics/SimpleGraph/ConcreteColorings.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean |
3 |
1 |
['github-actions'] |
nobody |
10-71035 10 days ago |
20-6769 20 days ago |
20-6754 20 days |
| 26271 |
Raph-DG author:Raph-DG |
feat(AlgebraicGeometry): Simple lemma about existence of affine neighbourhoods |
In this PR we make a simple lemma saying there exists an affine open around any point in a scheme. This already exists in the language of open immersions, this just makes the construction of the affine open subset more convenient.
---
[](https://gitpod.io/from-referrer/)
|
t-algebraic-geometry |
6/0 |
Mathlib/AlgebraicGeometry/AffineScheme.lean |
1 |
1 |
['github-actions'] |
nobody |
10-68347 10 days ago |
10-72433 10 days ago |
10-72478 10 days |
| 26059 |
wwylele author:wwylele |
feat(GroupTheory/Divisible): Add rational SMul and Module |
This is part of https://github.com/leanprover-community/mathlib4/pull/25140. A torsion-free ℕ-divisible commutative group is a ℚ-module.
----
This PR continues the work from #25190.
Original PR: https://github.com/leanprover-community/mathlib4/pull/25190 |
t-algebra label:t-algebra$ |
156/0 |
Mathlib/Data/NNRat/Lemmas.lean,Mathlib/Data/Rat/Lemmas.lean,Mathlib/GroupTheory/Divisible.lean |
3 |
5 |
['eric-wieser', 'github-actions', 'wwylele'] |
nobody |
10-44696 10 days ago |
15-38437 15 days ago |
15-38458 15 days |
| 26284 |
plp127 author:plp127 |
feat: faster implementation of `Nat.primeFactorsList` + `@[csimp]` lemma |
Add a function `Nat.primeFactorsListFast` that `#eval`s faster, and a `@[csimp]` lemma `Nat.primeFactorsList_eq_primeFactorsListFast` that shows `Nat.primeFactorsList = Nat.primeFactorsListFast`.
---
[](https://gitpod.io/from-referrer/)
|
t-data |
95/0 |
Mathlib/Data/Nat/Factors.lean |
1 |
1 |
['github-actions'] |
nobody |
10-24339 10 days ago |
10-24362 10 days ago |
10-38279 10 days |
| 25860 |
robin-carlier author:robin-carlier |
feat(CategoryTheory/Monoidal/Action): Action of monoidal opposites |
Given a monoidal category `C` and a category `D`, we prove that a left (resp. right) `Cᴹᵒᵖ`-action on `D` gives a right (resp. left) `C`-action on `D`. Conversely, we show that left/right `C`-actions gives right/left `Cᴹᵒᵖ`-actions.
---
- [x] depends on: #25840
[](https://gitpod.io/from-referrer/)
|
t-category-theory |
190/1 |
Mathlib.lean,Mathlib/CategoryTheory/Monoidal/Action/Basic.lean,Mathlib/CategoryTheory/Monoidal/Action/Opposites.lean |
3 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
10-14129 10 days ago |
10-14294 10 days ago |
10-54066 10 days |
| 25875 |
robin-carlier author:robin-carlier |
feat(CategoryTheory/Monoidal/Action): actions as monoidal functors to endofunctors |
Given a monoidal category `C` and a category `D`, we show that left actions of `C` on `D` correspond to monoidal functors `C ⥤ (D ⥤ D)ᴹᵒᵖ` by showing that the composition of `curriedAction C D` with `mopFunctor` is monoidal, and in the other direction by defining an action of `C` on `D` out of the data of such a monoidal functor.
Similarly, we show that monoidal functors `C ⥤ (D ⥤ D)` correspond to right actions of `C` on `D`.
We use this to define the "evaluation" right action of `(C ⥤ C)` (with the composition monoidal structure) on `C` as the action corresponding to the identity functor `(C ⥤ C) ⥤ (C ⥤ C)`.
---
- [x] depends on: #25840
- [x] depends on: #25766
[](https://gitpod.io/from-referrer/)
|
t-category-theory |
222/3 |
Mathlib.lean,Mathlib/CategoryTheory/Monoidal/Action/Basic.lean,Mathlib/CategoryTheory/Monoidal/Action/End.lean,Mathlib/CategoryTheory/Monoidal/Opposite.lean |
4 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
10-13849 10 days ago |
10-13849 10 days ago |
10-52098 10 days |
| 26057 |
YaelDillies author:YaelDillies |
feat: `mon_tauto`, a simp set to prove tautologies about a monoid object |
This simp set proves all tautologies involving (commutative) monoid objects in a (braided) monoidal category.
The general algorithm it follows is to push the associators `α_` and commutators `β_` inwards until they cancel against the right sequence of multiplications.
This approach is justified by the fact that a tautology in the language of (commutative) monoid objects "remembers" how it was proved: Every use of a (commutative) monoid object axiom inserts a unitor, associator or commutator, and proving a tautology simply amounts to undoing those moves as prescribed by the presence of unitors, associators and commutators in its expression.
This simp set is opiniated about its normal form and therefore cannot be used concurrently to some of the simp lemmas in the standard simp set.
As an example, we prove `tensorμ M M M M ≫ (μ ⊗ₘ μ) ≫ μ = (μ ⊗ₘ μ) ≫ μ`, the categorical equivalent of `mul_mul_mul_comm`.
From Toric
Co-authored-by: Andrew Yang
---
- [x] depends on: #26102
[](https://gitpod.io/from-referrer/)
|
toric
t-category-theory
|
149/1 |
Mathlib/CategoryTheory/Monoidal/Mon_.lean,Mathlib/Tactic/Attr/Register.lean,MathlibTest/CategoryTheory/Monoidal/MonTauto.lean,scripts/noshake.json |
4 |
11 |
['YaelDillies', 'erdOne', 'github-actions', 'mathlib4-dependent-issues-bot', 'robin-carlier'] |
nobody |
10-5916 10 days ago |
14-56044 14 days ago |
15-32500 15 days |
| 25976 |
robin-carlier author:robin-carlier |
feat(CategoryTheory/Monoidal/Action): preservation of left/right actions by functors |
We introduce typeclasses `F.LaxLeftLinear C`, `F.OplaxLeftLinear C` and `F.LeftLinear C` on functors `F : D ⥤ D'` where `D` and `D` have a monoidal left action of `C`. These typeclasses bundle "compatibility" of the actions, and are analogue to `LaxMonoidal` and `OplaxMonoidal` structures on functors.
More precisely, `F.LaxLeftLinear C` bundles a"lineator" as a morphism `μₗ : c ⊙ₗ F.obj d ⟶ F.obj (c ⊙ₗ d)`, subject to naturality, associativity and unitality conditions while `F.OplaxLeftLinear C` bundles the "lineator" as a morphism `δₗ : F.obj (c ⊙ₗ d) ⟶ c ⊙ₗ F.obj d ` subject to similar conditions. `F.LeftLinear` bundles both a `LaxLeftLinear` and an `OplaxLeftLinear` structure, as well as the fact that `μₗ` is left and right inverse to `δₗ`.
The analogue typeclasses for right actions are also introduced.
---
- [x] depends on: #25840
[](https://gitpod.io/from-referrer/)
|
t-category-theory |
361/1 |
Mathlib.lean,Mathlib/CategoryTheory/Monoidal/Action/Basic.lean,Mathlib/CategoryTheory/Monoidal/Action/LinearFunctor.lean |
3 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
9-83170 9 days ago |
10-13813 10 days ago |
10-52718 10 days |
| 24730 |
YaelDillies author:YaelDillies |
feat(RingTheory): group-like elements |
Define group-like elements in a bialgebra, ie elements such that `η a = 1` and `Δ a = a ⊗ₜ a`.
We prove that group-like elements of a coalgebra over a domain are linearly independent, group-like elements of a bialgebra form a monoid, group-like elements of a Hopf algebra form a group.
From Toric
Co-authored-by: Michał Mrugała
---
- [x] depends on: #24747
[](https://gitpod.io/from-referrer/)
|
toric
t-algebra
label:t-algebra$ |
305/0 |
Mathlib.lean,Mathlib/RingTheory/Bialgebra/GroupLike.lean,Mathlib/RingTheory/Coalgebra/GroupLike.lean,Mathlib/RingTheory/HopfAlgebra/GroupLike.lean |
4 |
30 |
['Julian-Kuelshammer', 'Parcly-Taxel', 'YaelDillies', 'erdOne', 'eric-wieser', 'github-actions', 'leanprover-bot', 'mathlib4-dependent-issues-bot'] |
nobody |
9-80853 9 days ago |
53-47910 1 month ago |
53-49464 53 days |
| 26301 |
Ivan-Sergeyev author:Ivan-Sergeyev |
feat(LinearAlgebra/Matrix/Determinant/TotallyUnimodular): |
Empty matrices are totally unimodular.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebra
label:t-algebra$ |
15/0 |
Mathlib/LinearAlgebra/Matrix/Determinant/TotallyUnimodular.lean |
1 |
1 |
['github-actions'] |
nobody |
9-78129 9 days ago |
9-78139 9 days ago |
9-78184 9 days |
| 25833 |
loefflerd author:loefflerd |
feat(Counterexamples): topologists' sine curve |
Define the "topologists' sine curve" in R^2, and show that its closure is connected but not path-connected.
This formalization is part of the bachelor thesis of Daniele Bolla at UniDistance Switzerland.
Co-authored-by: Daniele Bolla [daniele.bolla@stu.fernuni.ch](mailto:daniele.bolla@stu.fernuni.ch)
---
[](https://gitpod.io/from-referrer/)
|
migrated-from-branch
t-topology
|
219/1 |
Counterexamples.lean,Counterexamples/TopologistsSineCurve.lean,Mathlib/Topology/Connected/PathConnected.lean |
3 |
5 |
['github-actions', 'loefflerd', 'sgouezel'] |
nobody |
9-77521 9 days ago |
17-64022 17 days ago |
20-8809 20 days |
| 26299 |
adomani author:adomani |
perf: the `commandStart` linter only acts on modified files |
Introduces an `IO.Ref` to allow the `commandStart` linter to only run on files that git considers modified with respect to `master`.
The linter is also active on files that have had some error, as these are likely being modified!
The PR should also mitigate the speed-up that the linter introduced:
[#mathlib4 > A whitespace linter @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/A.20whitespace.20linter/near/525091877)
Assuming that this goes well, a similar mechanism could be applied to several linters that do not need to run on all code, just on the modified code.
Implementation detail: the linter is currently either on or off in "whole" files. It may be also a future development to make this more granular and only run the linter on "modifed commands in modified files", but this is not currently the plan for this modification!
---
[](https://gitpod.io/from-referrer/)
|
t-linter |
48/0 |
Mathlib/Tactic/Linter/CommandStart.lean |
1 |
4 |
['adomani', 'github-actions', 'leanprover-bot'] |
nobody |
9-77454 9 days ago |
9-77454 9 days ago |
9-82087 9 days |
| 26189 |
tb65536 author:tb65536 |
feat(FieldTheory/Galois/Basic): Add simp-lemma for `FixedPoints.intermediateField` |
This PR adds a simp-lemma `FixedPoints.mem_intermediateField_iff` for the definition `FixedPoints.intermediateField`.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
4/0 |
Mathlib/FieldTheory/Galois/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
9-71639 9 days ago |
9-71639 9 days ago |
13-42890 13 days |
| 26308 |
LessnessRandomness author:LessnessRandomness |
feat(Analysis.NormedSpace): add normalized vectors |
---
Add normalized vectors to Mathlib (zero vector for zero vector, the corresponding unit vectors for nonzero vectors) |
new-contributor
t-analysis
|
65/0 |
Mathlib.lean,Mathlib/Analysis/NormedSpace/Normalized.lean |
2 |
1 |
['github-actions'] |
nobody |
9-70234 9 days ago |
9-70246 9 days ago |
9-70292 9 days |
| 25997 |
tb65536 author:tb65536 |
refactor(FieldTheory/Galois): Switch from `Fintype` to `Finite` |
This PR switches mathlib's Galois theory from `Fintype` to `Finite` to match the group theory library.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
59/61 |
Mathlib/FieldTheory/Galois/Basic.lean,Mathlib/FieldTheory/Galois/IsGaloisGroup.lean,Mathlib/FieldTheory/IntermediateField/Adjoin/Basic.lean,Mathlib/FieldTheory/KrullTopology.lean,Mathlib/FieldTheory/KummerExtension.lean,Mathlib/FieldTheory/PolynomialGaloisGroup.lean,Mathlib/NumberTheory/NumberField/CMField.lean,Mathlib/NumberTheory/NumberField/InfinitePlace/Ramification.lean |
8 |
1 |
['github-actions'] |
nobody |
9-69502 9 days ago |
9-69502 9 days ago |
15-75944 15 days |
| 26190 |
tb65536 author:tb65536 |
feat(FieldTheory/Galois/IsGaloisGroup): Subgroups of a Galois group are Galois groups |
This PR gives an instance `IsGaloisGroup H (FixedPoints.intermediateField H : IntermediateField K L) L` from `IsGaloisGroup G K L`, and a numerical corollary.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
11/0 |
Mathlib/FieldTheory/Galois/IsGaloisGroup.lean |
1 |
1 |
['github-actions'] |
nobody |
9-68599 9 days ago |
9-68600 9 days ago |
13-38202 13 days |
| 26316 |
alreadydone author:alreadydone |
feat(RingTheory): degree of rational function field extension |
This PR continues the work from #22966.
Original PR: https://github.com/leanprover-community/mathlib4/pull/22966 |
t-algebra label:t-algebra$ |
268/49 |
Mathlib/RingTheory/AdjoinRoot.lean,Mathlib/RingTheory/Algebraic/Basic.lean,Mathlib/RingTheory/Algebraic/Integral.lean,Mathlib/RingTheory/AlgebraicIndependent/AlgebraicClosure.lean,Mathlib/RingTheory/IntegralClosure/IsIntegralClosure/Basic.lean,Mathlib/RingTheory/TensorProduct/Basic.lean |
6 |
2 |
['alreadydone', 'github-actions'] |
riccardobrasca assignee:riccardobrasca |
9-65443 9 days ago |
9-65450 9 days ago |
9-68086 9 days |
| 26319 |
Vierkantor author:Vierkantor |
ci: specify leanprover-community/mathlib4 when checking out master |
This PR makes it explicit that we want to run CI against the `master` branch from `leanprover-community/mathlib4` instead of another repo.
The new mathlib4-nightly-testing repo should run CI on the nightly branches as if they are already part of the `master` branch. But when checking them out, it defaults to looking for the branch in `leanprover-community/mathlib4-nightly-testing`, which does not exist. So a simple fix is to make the upstream repo name explicit.
A potential disadvantage: it will be harder to test CI changes by opening a pull request against one's own fork. (Which is what I did to test a few CI changes before).
---
This change makes sense to me but maybe there is a better option? I don't think we want to have custom CI in the other repo, because it will get obliterated next time we do an update.
[](https://gitpod.io/from-referrer/)
|
CI |
4/0 |
.github/build.in.yml,.github/workflows/bors.yml,.github/workflows/build.yml,.github/workflows/build_fork.yml |
4 |
1 |
['github-actions'] |
nobody |
9-63494 9 days ago |
9-63563 9 days ago |
9-63547 9 days |
| 25283 |
Brian-Nugent author:Brian-Nugent |
feat: regular local rings |
Adds regular local rings and proves they are integral domains.
---
- [ ] depends on: #25280
- [ ] depends on: #25282
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebra
label:t-algebra$ |
871/0 |
.vscode/settings.json,Mathlib.lean,Mathlib/RingTheory/EmbeddingDimension.lean,Mathlib/RingTheory/LocalRingDimension.lean,Mathlib/RingTheory/RegularLocalRing.lean |
5 |
5 |
['Brian-Nugent', 'github-actions', 'mathlib4-dependent-issues-bot', 'yuanyi-350'] |
nobody |
9-49576 9 days ago |
10-23034 10 days ago |
10-23898 10 days |
| 26265 |
EtienneC30 author:EtienneC30 |
feat: random variables are independent iff their joint distribution is the product measure |
Also prove that random variables are independent iff any finite subfamily is independent.
---
[](https://gitpod.io/from-referrer/)
|
t-measure-probability |
109/8 |
Mathlib.lean,Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean,Mathlib/Probability/Independence/Basic.lean,Mathlib/Probability/Independence/InfinitePi.lean,Mathlib/Probability/Independence/Kernel.lean |
5 |
4 |
['EtienneC30', 'github-actions', 'sgouezel'] |
nobody |
9-48917 9 days ago |
11-7605 11 days ago |
11-7589 11 days |
| 26078 |
kckennylau author:kckennylau |
feat(AlgebraicGeometry): add x, y, px, py for points on elliptic curves |
---
Split from #25218.
[](https://gitpod.io/from-referrer/)
|
t-algebraic-geometry |
44/0 |
Mathlib/AlgebraicGeometry/EllipticCurve/Affine/Point.lean |
1 |
10 |
['MichaelStollBayreuth', 'Multramate', 'acmepjz', 'github-actions', 'kckennylau'] |
nobody |
9-45033 9 days ago |
14-83539 14 days ago |
14-83584 14 days |
| 26330 |
Timeroot author:Timeroot |
"Junk value" test file |
This PR continues the work from #25173.
Original PR: https://github.com/leanprover-community/mathlib4/pull/25173 |
t-data |
362/2 |
Mathlib/Data/Nat/Find.lean,MathlibTest/Junk.lean |
2 |
2 |
['Timeroot', 'github-actions'] |
nobody |
9-30052 9 days ago |
9-30058 9 days ago |
9-30104 9 days |
| 26332 |
Timeroot author:Timeroot |
feat (ModelTheory/Definability): TermDefinable functions |
This PR continues the work from #23506.
Original PR: https://github.com/leanprover-community/mathlib4/pull/23506 |
large-import |
159/0 |
Mathlib/Data/Rel.lean,Mathlib/ModelTheory/Definability.lean,scripts/noshake.json |
3 |
2 |
['Timeroot', 'github-actions'] |
nobody |
9-29784 9 days ago |
9-29791 9 days ago |
9-29835 9 days |
| 23460 |
Timeroot author:Timeroot |
feat: Definition of `Clone` |
Basics about Clones. Part of #20051
---
- [x] depends on: #23459
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
326/0 |
Mathlib.lean,Mathlib/Algebra/Clone/Basic.lean,Mathlib/Algebra/Clone/Defs.lean,Mathlib/Data/Fin/Basic.lean |
4 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
9-29233 9 days ago |
9-29235 9 days ago |
9-30527 9 days |
| 26331 |
Timeroot author:Timeroot |
feat(Algebra/Polynomial): Descartes' Rule of signs |
This PR continues the work from #23681.
Original PR: https://github.com/leanprover-community/mathlib4/pull/23681 |
t-algebra label:t-algebra$ |
615/3 |
Mathlib.lean,Mathlib/Algebra/Polynomial/CoeffList.lean,Mathlib/Algebra/Polynomial/Degree/Operations.lean,Mathlib/Algebra/Polynomial/EraseLead.lean,Mathlib/Algebra/Polynomial/RuleOfSigns.lean |
5 |
5 |
['Timeroot', 'adomani', 'github-actions'] |
nobody |
9-26682 9 days ago |
9-29902 9 days ago |
9-29948 9 days |
| 26274 |
EtienneC30 author:EtienneC30 |
feat: api for symmetric bilinear forms |
Change the definition of `BilinForm.IsSymm` to make it a structure, in order to extend it to define `ContinuousBilinForm.IsPosSemidef` in #26315.
Prove polarization identity.
Prove two lemmas about `BilinForm.toMatrix`.
---
From Brownian motion
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
88/17 |
Mathlib/LinearAlgebra/BilinearForm/Orthogonal.lean,Mathlib/LinearAlgebra/BilinearForm/Properties.lean,Mathlib/LinearAlgebra/Matrix/BilinearForm.lean,Mathlib/RingTheory/Trace/Defs.lean |
4 |
2 |
['bryangingechen', 'github-actions'] |
nobody |
9-15014 9 days ago |
9-15014 9 days ago |
9-29387 9 days |
| 26255 |
vasnesterov author:vasnesterov |
feat(Analysis): radius of convergence for `FormalMultilinearSeries.compContinuousLinearMap` |
- Add basic lemmas `compContinuousLinearMap_id` and `compContinuousLinearMap_comp`.
- Prove lower and upper bounds for the convergence radius of `f.compContinuousLinearMap`.
- Prove `radius_compNeg`: the convergence radii of `f(x)` and `f(-x)` are equal.
---
In this PR I had to add `set_option linter.style.longFile 1700` in `Analytic/Basic.lean`.
I split this file in the next PR: #26270.
[](https://gitpod.io/from-referrer/)
This PR continues the work from #22531.
Original PR: https://github.com/leanprover-community/mathlib4/pull/22531 |
t-analysis |
148/11 |
Mathlib/Analysis/Analytic/Basic.lean,Mathlib/Analysis/Analytic/CPolynomial.lean,Mathlib/Analysis/Analytic/Constructions.lean,Mathlib/Analysis/Calculus/FormalMultilinearSeries.lean,Mathlib/Analysis/NormedSpace/OperatorNorm/NormedSpace.lean |
5 |
11 |
['github-actions', 'grunweg', 'vasnesterov'] |
grunweg assignee:grunweg |
8-58394 8 days ago |
9-75023 9 days ago |
11-48023 11 days |
| 26201 |
scholzhannah author:scholzhannah |
feat: subcomplexes of a classical CW complex |
This PR defines subcomplexes of a (classical relative) CW complex to be a closed subspace which is a union of open cells. It provides additional definitions for alternative ways to describe subcomplexes. Lastly, it refactors the definition of the skeleton to define it as a subcomplex.
Co-authored-by: Floris van Doorn
---
[](https://gitpod.io/from-referrer/)
|
t-topology |
213/25 |
Mathlib/Topology/CWComplex/Classical/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
8-3629 8 days ago |
13-6517 13 days ago |
13-6562 13 days |
| 25974 |
scholzhannah author:scholzhannah |
feat(Topology/Compactness/CompactlyCoherentSpace): compact coherentification (k-ification) |
This PR defines the notion of turning an arbitrary topological space into a compactly coherent space. Compactly coherent spaces are commonly referred to as "compactly generated spaces" or "k-spaces" in the literature while the operation of turning a space into such as space is called the "k-ification". There are however three different notions that are described with this name. To disambiguate we use the names "compactly coherent space" and "compactcoherentification" here. See [this wikipedia page](https://en.wikipedia.org/wiki/Compactly_generated_space) for an explanation of these notions.
This PR continues the work from #25318.
Original PR: https://github.com/leanprover-community/mathlib4/pull/25318
Co-authored-by: Floris van Doorn |
large-import
t-topology
|
175/5 |
Mathlib/Topology/Compactness/CompactlyCoherentSpace.lean |
1 |
2 |
['github-actions', 'scholzhannah'] |
nobody |
8-3530 8 days ago |
16-55450 16 days ago |
16-55499 16 days |
| 26415 |
thorimur author:thorimur |
feat: basic translations between `X →o Y` and `X ⥤ Y` |
Adds basic definitions translating between `X →o Y` and `X ⥤ Y` where `X` and `Y` are regarded as `Preorder` categories.
---
[](https://gitpod.io/from-referrer/)
|
t-category-theory |
53/14 |
Mathlib/CategoryTheory/Category/Preorder.lean |
1 |
2 |
['github-actions', 'thorimur'] |
nobody |
7-39500 7 days ago |
7-39500 7 days ago |
7-39841 7 days |
| 26368 |
Whysoserioushah author:Whysoserioushah |
feat(RingTheory/TwoSidedIdeal/SpanAsSum): span of set as finsum |
Reopened after everything moved to fork.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
81/0 |
Mathlib.lean,Mathlib/RingTheory/TwoSidedIdeal/SpanAsSum.lean |
2 |
1 |
['github-actions'] |
nobody |
6-61138 6 days ago |
8-59206 8 days ago |
8-59253 8 days |
| 26354 |
vasnesterov author:vasnesterov |
feat(Tactic/Order): support `⊤`, `⊥`, and lattice operations |
Support `⊤`, `⊥`, and lattice operations in the `order` tactic.
---
- [x] depends on: #21877
[](https://gitpod.io/from-referrer/)
This PR continues the work from #21966.
Original PR: https://github.com/leanprover-community/mathlib4/pull/21966 |
large-import
t-meta
|
300/107 |
Mathlib/Tactic/Order.lean,Mathlib/Tactic/Order/CollectFacts.lean,Mathlib/Tactic/Order/Graph/Basic.lean,Mathlib/Tactic/Order/Preprocessing.lean,MathlibTest/order.lean,scripts/noshake.json |
6 |
15 |
['JovanGerb', 'github-actions', 'mathlib4-dependent-issues-bot', 'vasnesterov'] |
nobody |
6-54493 6 days ago |
8-81001 8 days ago |
8-81058 8 days |
| 25172 |
eric-wieser author:eric-wieser |
feat: restricting `Affine.Simplex` to an affine subspace that contains it |
Also removes a redundant `Nonempty` argument.
---
[](https://gitpod.io/from-referrer/)
|
maintainer-merge
t-euclidean-geometry
|
68/5 |
Mathlib/LinearAlgebra/AffineSpace/AffineSubspace/Basic.lean,Mathlib/LinearAlgebra/AffineSpace/Independent.lean |
2 |
11 |
['eric-wieser', 'github-actions', 'jsm28', 'ocfnash'] |
nobody |
6-54426 6 days ago |
38-81017 1 month ago |
39-35489 39 days |
| 26375 |
joelriou author:joelriou |
chore(CategoryTheory/Localization): fix morphisms in the category of resolutions |
This PR changes the definition of morphisms in the categories `LeftResolution` and `RightResolution` attached to morphisms of localizers. Previously, we assumed that morphisms between resolutions belonged to the given class of morphisms of the localizer, but in downstream applications, it turns out it is more convenient to remove this condition (which would anyway be automatically verified in most situations). (The literature is not very explicit about whether this condition should or should not be part of the definition.)
---
[](https://gitpod.io/from-referrer/)
|
t-category-theory |
12/27 |
Mathlib/CategoryTheory/Localization/DerivabilityStructure/Constructor.lean,Mathlib/CategoryTheory/Localization/Resolution.lean |
2 |
1 |
['github-actions'] |
nobody |
6-54222 6 days ago |
8-54149 8 days ago |
8-54133 8 days |
| 26428 |
Ruben-VandeVelde author:Ruben-VandeVelde |
feat: norm_num support for Int.fract |
---
[](https://gitpod.io/from-referrer/)
|
t-data |
44/0 |
Mathlib/Data/Rat/Floor.lean,MathlibTest/norm_num_ext.lean |
2 |
5 |
['Rob23oba', 'github-actions'] |
nobody |
6-49994 6 days ago |
6-50035 6 days ago |
7-8395 7 days |
| 25915 |
BoltonBailey author:BoltonBailey |
chore(Algebra/Squarefree/Basic): fix erw |
This PR addresses an instance of the erw linter in Algebra/Squarefree/Basic.
Original PR: https://github.com/leanprover-community/mathlib4/pull/25161 |
tech debt
t-algebra
easy
label:t-algebra$ |
1/1 |
Mathlib/Algebra/Squarefree/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
6-31223 6 days ago |
10-53145 10 days ago |
17-71208 17 days |
| 26195 |
yuanyi-350 author:yuanyi-350 |
add `Fin.cycleIcc` which rotates `range(i, j)` |
In this file, I define permutation `cycleIcc i j hij`, which is the cycle `(i i+1 .... j)` leaving `(0 ... i-1)` and `(j+1 ... n-1)` unchanged. In other words, it rotates elements in `[i, j]` one step to the right. Also I prove some properties of `cycleIcc i j hij` such as it is a cycle and its cycleType is `j - i`
**This definition is used to prove the following result:**
```
theorem succAbove_comp_cycleIcc [NeZero n] (x : Fin (n + 1) → L) (i j : Fin (n + 1)) (eq : x i = x j) (lt : i < j)
x ∘ i.succAbove = x ∘ j.succAbove ∘ (cycleIcc hij)
```
More clearly, `x ∘ i.succAbove` and `x ∘ j.succAbove` are `Fin n → L` types. For example, when `n = 6, i = 2, j = 5` and `x i = x j`
```
x ∘ i.succAbove = (x 0, x 1, x 3, x 4, x 5, x 6)
x ∘ j.succAbove = (x 0, x 1, x 2, x 3, x 4, x 6)
```
We have
```
(x 0, x 1, x 3, x 4, x 5, x 6)
--(cycleIcc)--->(x 0, x 1, x 5, x 3, x 4, x 6) = (x 0, x 1, x 2, x 3, x 4, x 6)
```
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebra
label:t-algebra$ |
161/1 |
Mathlib/Algebra/Group/Fin/Basic.lean,Mathlib/Data/Fin/Basic.lean,Mathlib/Data/Fin/SuccPred.lean,Mathlib/GroupTheory/Perm/Fin.lean |
4 |
1 |
['github-actions'] |
nobody |
6-19127 6 days ago |
13-11428 13 days ago |
13-23201 13 days |
| 25979 |
joelriou author:joelriou |
feat(CategoryTheory): the derived adjunction between absolute derived functors |
An adjunction between functors induces an adjunction between the corresponding left/right derived functors, when these derived functors are *absolute*, i.e. they remain derived functors after the post-composition with any functor.
This theorem is the generalized version by Georges Maltsiniotis (*Le théorème de Quillen, d'adjonction des
foncteurs dérivés, revisité*, C. R. Math. Acad. Sci. Paris 344 (2007), no. 9) of a theorem by Quillen for adjunctions between model categories.
---
This PR continues the work from #24144.
Original PR: https://github.com/leanprover-community/mathlib4/pull/24144 |
t-category-theory |
163/0 |
Mathlib.lean,Mathlib/CategoryTheory/Functor/Derived/Adjunction.lean,docs/references.bib |
3 |
3 |
['callesonne', 'github-actions', 'joelriou'] |
callesonne assignee:callesonne |
6-15562 6 days ago |
16-52366 16 days ago |
16-52410 16 days |
| 26036 |
joelriou author:joelriou |
feat(CategoryTheory/Functor): pointwise right derived functors |
This PR introduces pointwise right derived functors as particular cases of pointwise left Kan extensions.
---
This PR continues the work from #22490.
Original PR: https://github.com/leanprover-community/mathlib4/pull/22490 |
t-category-theory |
160/0 |
Mathlib.lean,Mathlib/CategoryTheory/Functor/Derived/PointwiseRightDerived.lean |
2 |
2 |
['github-actions', 'joelriou'] |
nobody |
6-15512 6 days ago |
15-75316 15 days ago |
15-75362 15 days |
| 24139 |
yuanyi-350 author:yuanyi-350 |
feat: add `Fin.cycleIcc` which rotates `range(i, j)` |
In this file, I define permutation `cycleIcc i j hij`, which is the cycle `(i i+1 .... j)` leaving `(0 ... i-1)` and `(j+1 ... n-1)` unchanged. In other words, it rotates elements in `[i, j]` one step to the right. Also I prove some properties of `cycleIcc i j hij` such as it is a cycle and its cycleType is `j - i`
**This definition is used to prove the following result:**
```
theorem succAbove_comp_cycleIcc [NeZero n] (x : Fin (n + 1) → L) (i j : Fin (n + 1)) (eq : x i = x j) (lt : i < j)
x ∘ i.succAbove = x ∘ j.succAbove ∘ (cycleIcc hij)
```
More clearly, `x ∘ i.succAbove` and `x ∘ j.succAbove` are `Fin n → L` types. For example, when `n = 6, i = 2, j = 5` and `x i = x j`
```
x ∘ i.succAbove = (x 0, x 1, x 3, x 4, x 5, x 6)
x ∘ j.succAbove = (x 0, x 1, x 2, x 3, x 4, x 6)
```
We have
```
(x 0, x 1, x 3, x 4, x 5, x 6)
--(cycleIcc)--->(x 0, x 1, x 5, x 3, x 4, x 6) = (x 0, x 1, x 2, x 3, x 4, x 6)
```
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebra
label:t-algebra$ |
132/1 |
Mathlib/Algebra/Group/Fin/Basic.lean,Mathlib/Data/Fin/Basic.lean,Mathlib/Data/Nat/SuccPred.lean,Mathlib/GroupTheory/Perm/Fin.lean |
4 |
44 |
['acmepjz', 'faenuccio', 'github-actions', 'grunweg', 'leanprover-bot', 'leanprover-community-bot-assistant', 'mbkybky', 'yuanyi-350'] |
faenuccio assignee:faenuccio |
6-13005 6 days ago |
6-13005 6 days ago |
76-16408 76 days |
| 26353 |
kebekus author:kebekus |
feat: restriction of scalars for iterated Fréchet derivatives |
Establish standard theorems on restriction of scalars for iterated Fréchet derivatives, comparing iterated derivatives with respect to a field `𝕜'` to iterated derivatives with respect to a subfield `𝕜 ⊆ 𝕜'`. The results are analogous to those found in
`Mathlib.Analysis.Calculus.FDeriv.RestrictScalars`.
This material is used in [Project VD](https://github.com/kebekus/ProjectVD), which aims to formalize Value Distribution Theory for meromorphic functions on the complex plane.
---
[](https://gitpod.io/from-referrer/)
|
t-analysis |
102/0 |
Mathlib.lean,Mathlib/Analysis/Calculus/ContDiff/Defs.lean,Mathlib/Analysis/Calculus/ContDiff/RestrictScalars.lean,Mathlib/Analysis/Calculus/FDeriv/RestrictScalars.lean |
4 |
4 |
['github-actions', 'kebekus', 'sgouezel'] |
nobody |
6-11329 6 days ago |
6-11420 6 days ago |
6-14976 6 days |
| 26426 |
Komyyy author:Komyyy |
doc: remove `PartENat.card` in the module doc |
[`PartENat.card`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Deprecated/Cardinal/Finite.html#PartENat.card) is moved to the `Deprecated` directory and it's not in this file([`Mathlib.SetTheory.Cardinal.Finite`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/SetTheory/Cardinal/Finite.html)) anymore.
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory
maintainer-merge
easy
documentation
|
0/2 |
Mathlib/SetTheory/Cardinal/Finite.lean |
1 |
2 |
['github-actions', 'grunweg'] |
nobody |
6-6895 6 days ago |
6-6895 6 days ago |
6-6908 6 days |
| 26396 |
xroblot author:xroblot |
feat(RingTheory): define the dual of a basis for the trace and prove basic properties |
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
133/28 |
Mathlib/LinearAlgebra/BilinearForm/Properties.lean,Mathlib/RingTheory/DedekindDomain/Different.lean,Mathlib/RingTheory/Trace/Basic.lean |
3 |
1 |
['github-actions'] |
nobody |
5-83239 5 days ago |
8-11544 8 days ago |
8-11595 8 days |
| 26474 |
xroblot author:xroblot |
feat(NumberTheory): `N(I 𝓞L) = N(I) ^ [L:K]` for an integral ideal `I` of `K` |
---
[](https://gitpod.io/from-referrer/)
|
large-import
t-number-theory
|
74/4 |
Mathlib/NumberTheory/RamificationInertia/Basic.lean,Mathlib/RingTheory/DedekindDomain/Ideal.lean,Mathlib/RingTheory/Ideal/Int.lean,Mathlib/RingTheory/Ideal/Over.lean |
4 |
1 |
['github-actions'] |
nobody |
5-79535 5 days ago |
5-79543 5 days ago |
5-79594 5 days |
| 26453 |
jburroni author:jburroni |
feat(Data/PNat/Basic): add order-related instances to PNat |
Add `SuccAddOrder ℕ+` and `NoMaxOrder ℕ+` instances.
This allows, for example, the use of lemmas related to `Intervals` built with ℕ+.
---
[](https://gitpod.io/from-referrer/)
|
large-import
t-data
new-contributor
|
18/0 |
Mathlib/Data/PNat/Basic.lean |
1 |
3 |
['eric-wieser', 'github-actions', 'jburroni'] |
nobody |
5-76278 5 days ago |
6-60136 6 days ago |
6-60182 6 days |
| 24778 |
YaelDillies author:YaelDillies |
feat: `CommGrp`-valued Yoneda embedding |
From Toric
Co-authored-by: Andrew Yang
---
[](https://gitpod.io/from-referrer/)
|
toric
t-category-theory
|
105/0 |
Mathlib.lean,Mathlib/Algebra/Category/Grp/Yoneda.lean,Mathlib/Algebra/Category/MonCat/Yoneda.lean,Mathlib/CategoryTheory/Preadditive/Yoneda/Basic.lean |
4 |
32 |
['TwoFX', 'YaelDillies', 'callesonne', 'erdOne', 'github-actions', 'kckennylau', 'leanprover-community-bot-assistant'] |
nobody |
5-64583 5 days ago |
22-67587 22 days ago |
49-78342 49 days |
| 26358 |
plp127 author:plp127 |
feat(Topology): R1 spaces are quasisober |
This PR continues the work from #24054.
Original PR: https://github.com/leanprover-community/mathlib4/pull/24054 |
bench-after-CI
t-topology
|
23/9 |
Mathlib/Topology/Separation/Hausdorff.lean,Mathlib/Topology/Sober.lean |
2 |
16 |
['faenuccio', 'github-actions', 'leanprover-bot', 'leanprover-community-mathlib4-bot', 'plp127'] |
nobody |
5-51992 5 days ago |
5-52048 5 days ago |
8-77023 8 days |
| 26280 |
AntoineChambert-Loir author:AntoineChambert-Loir |
feat(GroupTheory/GroupAction/Jordan) : Primitivity lemmas |
This is a primitivity lemma for actions, in preparation to the proof of of Jordan on primitive subgroups of the permutation group #26282
This PR continues the work from #24120.
Original PR: https://github.com/leanprover-community/mathlib4/pull/24120
- [ ] depends on: #26279
|
t-algebra label:t-algebra$ |
145/23 |
Mathlib/GroupTheory/GroupAction/MultiplePrimitivity.lean,Mathlib/GroupTheory/GroupAction/MultipleTransitivity.lean,Mathlib/GroupTheory/GroupAction/SubMulAction/OfFixingSubgroup.lean |
3 |
4 |
['AntoineChambert-Loir', 'github-actions', 'mathlib4-dependent-issues-bot', 'tb65536'] |
riccardobrasca assignee:riccardobrasca |
5-51041 5 days ago |
6-26534 6 days ago |
9-25694 9 days |
| 26023 |
Garmelon author:Garmelon |
chore: add githelper.py script |
As described in the readme file, this somewhat opinionated script aims to help fix weird git repo setups and restore them to a standardized state that closely matches what `gh repo clone` does. Like `migrate_to_fork.py`, this script requires the user to have `git` and `gh` installed.
To use the script, run `scripts/githelper.py fix` in a git repo that is either a clone of mathlib or of a mathlib fork. The script will prompt you before making any changes, so the user retains control over the entire process. The script also prints the commands used.
`fix` is a subcommand so other git and github management tasks can be added in the future. Possible examples: Deleting branches of closed PRs, keeping the fork in sync with upstream, removing branches from a fork that was accidentally cloned with all mathlib branches included.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor |
490/0 |
scripts/README.md,scripts/githelper.py |
2 |
8 |
['Garmelon', 'bryangingechen', 'github-actions', 'jcommelin'] |
bryangingechen assignee:bryangingechen |
5-36921 5 days ago |
5-36921 5 days ago |
7-46197 7 days |
| 26371 |
Timeroot author:Timeroot |
feat(NumberTheory): Niven's theorem |
This file proves Niven's theorem, that the only rational cosines of angles that are rational multiples of pi, are [-1, -1/2, 0, 1/2, 1]. This is one of the theorems missing from 1000.yaml.
---
[](https://gitpod.io/from-referrer/)
|
t-number-theory |
119/0 |
Mathlib.lean,Mathlib/NumberTheory/Niven.lean,docs/1000.yaml |
3 |
9 |
['Timeroot', 'github-actions', 'grunweg', 'plp127'] |
nobody |
5-36132 5 days ago |
8-58210 8 days ago |
8-58258 8 days |
| 26486 |
DavidLedvinka author:DavidLedvinka |
feat(Order): Add curried versions of `biSup_prod` and `biInf_prod` |
Used in the Brownian Motion project. |
t-order
easy
|
8/0 |
Mathlib/Order/CompleteLattice/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
5-25595 5 days ago |
5-25629 5 days ago |
5-25641 5 days |
| 26469 |
euprunin author:euprunin |
chore: golf using `assumption_mod_cast` |
|
|
5/9 |
Mathlib/Algebra/Lie/Weights/Killing.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Arctan.lean,Mathlib/RingTheory/Norm/Defs.lean,Mathlib/Topology/Category/LightProfinite/Sequence.lean |
4 |
4 |
['bryangingechen', 'github-actions', 'leanprover-bot'] |
nobody |
5-17457 5 days ago |
5-17457 5 days ago |
6-1014 6 days |
| 26150 |
YaelDillies author:YaelDillies |
feat: `CanLift` instance from `ConvexCone` to `ProperCone` |
For this, move `ConvexCone.pointed_of_nonempty_of_mem` earlier and rename it to `ConvexCone.Pointed.of_nonempty_of_mem`.
From Toric
---
[](https://gitpod.io/from-referrer/)
|
toric
t-analysis
|
45/22 |
Mathlib/Analysis/Convex/Cone/Basic.lean,Mathlib/Analysis/Convex/Cone/InnerDual.lean |
2 |
4 |
['YaelDillies', 'b-mehta', 'github-actions'] |
nobody |
5-16851 5 days ago |
13-82880 13 days ago |
13-83172 13 days |
| 26287 |
mbkybky author:mbkybky |
feat(Data/ENat/Lattice): coercion to `WithBot ℕ∞` commutes with `biSup` |
The coercion from `ℕ∞` to `WithBot ℕ∞` commutes with `biSup` and `biInf`.
---
[](https://gitpod.io/from-referrer/)
|
t-data |
19/0 |
Mathlib/Data/ENat/Lattice.lean |
1 |
1 |
['github-actions'] |
nobody |
4-66749 4 days ago |
10-24289 10 days ago |
10-32040 10 days |
| 26492 |
Komyyy author:Komyyy |
feat: Alexandrov discrete implies locally path-connected |
The primary motivation for this theorem is to deduce path-connectedness from connectedness in finite topological spaces:
```lean
import Mathlib.Topology.Connected.LocPathConnected
example {X : Type*} [TopologicalSpace X] [Finite X] [ConnectedSpace X] : PathConnectedSpace X := by
rw [pathConnectedSpace_iff_connectedSpace]; assumption
```
---
[](https://gitpod.io/from-referrer/)
|
t-topology |
22/0 |
Mathlib/Topology/AlexandrovDiscrete.lean,Mathlib/Topology/Connected/LocPathConnected.lean |
2 |
1 |
['github-actions'] |
nobody |
4-62055 4 days ago |
4-62055 4 days ago |
4-62175 4 days |
| 26462 |
PSchwahn author:PSchwahn |
feat(LinearAlgebra/Projection): add results about inverse of `Submodule.prodEquivOfIsCompl` |
Add two theorems `Submodule.prodEquivOfIsCompl_symm_apply` and `Submodule.prodEquivOfIsCompl_symm_add`, which are API for `Submodule.prodEquivOfIsCompl`.
We believe these theorems are useful; for example, we have used their statements in a [classification formalization project](https://github.com/LieLean/LowDimSolvClassification).
I am not sure whether the `prodEquivOfIsCompl_symm_apply` theorem should be tagged with `@[simp]`; this might lead to confluence issues. Opinions are welcome!
Co-authored by:
- [Viviana del Barco](https://github.com/vdelbarc)
- [Gustavo Infanti](https://github.com/GuQOliveira)
- [Exequiel Rivas](https://github.com/erivas)
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebra
label:t-algebra$ |
9/0 |
Mathlib/LinearAlgebra/Projection.lean |
1 |
5 |
['PSchwahn', 'github-actions', 'kckennylau'] |
nobody |
4-43488 4 days ago |
6-29122 6 days ago |
6-29248 6 days |
| 25862 |
zcyemi author:zcyemi |
feat(Geometry/Euclidean/Triangle): add law of sines |
---
Implement the vector and angle-at-point forms of the law of sines.
[](https://gitpod.io/from-referrer/)
---
*This PR continues the work from #25174.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/25174* |
migrated-from-branch
new-contributor
t-euclidean-geometry
|
53/1 |
Mathlib/Geometry/Euclidean/Triangle.lean |
1 |
8 |
['eric-wieser', 'github-actions', 'jsm28', 'zcyemi'] |
nobody |
4-37317 4 days ago |
18-73788 18 days ago |
18-77729 18 days |
| 26489 |
chrisflav author:chrisflav |
refactor(RingTheory/RingHom): factor out proofs for `Algebra.FinitePresentation` |
The current way to use locality of a given property of algebras is to convert everything into the language of `RingHom`s and then for example the `RingHom.OfLocalizationSpanTarget` API. This has two disadvantages:
1. The ring hom property API fixes the universes of source and target to be the same, hence we unnecessarily lose out on some universe generality.
2. The results for `RingHom`s are proven by translating everything in terms of `Algebra`, so we duplicate the translation steps.
This PR refactors `RingHom.FinitePresentation` to do all locality proofs in the language of `Algebra`s and translate it into the corresponding `RingHom.OfLocalizationSpan{Target}` in the last step. We also streamline some of the translation proofs by unifying the API.
---
- [x] depends on: #22931
[](https://gitpod.io/from-referrer/)
This PR continues the work from #22930.
Original PR: https://github.com/leanprover-community/mathlib4/pull/22930 |
t-algebra label:t-algebra$ |
62/77 |
Mathlib/RingTheory/RingHom/FinitePresentation.lean |
1 |
4 |
['chrisflav', 'erdOne', 'github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
4-22397 4 days ago |
4-77950 4 days ago |
4-77998 4 days |
| 22662 |
plp127 author:plp127 |
feat: Localization.Away.lift (computably) |
This PR adds `Localization.Away.lift'` and `Localization.Away.lift`, computable alternatives to `Localization.awayLift`.
---
- [x] depends on: #24791
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
74/0 |
Mathlib/RingTheory/Localization/Away/Basic.lean |
1 |
12 |
['eric-wieser', 'github-actions', 'mathlib4-dependent-issues-bot', 'plp127', 'vihdzp'] |
nobody |
4-19488 4 days ago |
52-41571 1 month ago |
118-41555 118 days |
| 26478 |
JovanGerb author:JovanGerb |
chore(LibraryRewrite): replace `rw??` with `rw?` |
As suggested by @YaelDillies, now `rw?` overwrites Lean core's implementation of `rw?`.
---
[](https://gitpod.io/from-referrer/)
|
t-meta |
38/33 |
Mathlib/Tactic/Widget/LibraryRewrite.lean,MathlibTest/LibraryRewrite.lean |
2 |
3 |
['YaelDillies', 'erdOne', 'github-actions'] |
nobody |
4-14874 4 days ago |
5-73021 5 days ago |
5-73064 5 days |
| 26500 |
sgouezel author:sgouezel |
feat: more properties of the manifold structure on `Icc` |
The manifold structure on real intervals is defined in `Mathlib.Geometry.Manifold.Instances.Real`.
We relate it to the manifold structure on the real line, by showing that the inclusion and
projection are smooth, and showing that a function defined on the interval is smooth iff
its composition with the projection is smooth on the interval in `ℝ`.
We also define `1 : TangentSpace (𝓡∂ 1) z`, and relate it to `1` in the real line.
---
[](https://gitpod.io/from-referrer/)
|
t-differential-geometry |
215/2 |
Mathlib.lean,Mathlib/Geometry/Manifold/Instances/Icc.lean,Mathlib/Topology/Order/ProjIcc.lean |
3 |
9 |
['github-actions', 'grunweg', 'sgouezel'] |
grunweg assignee:grunweg |
4-13423 4 days ago |
4-13484 4 days ago |
4-20804 4 days |
| 26251 |
YaelDillies author:YaelDillies |
chore(Units): better follow the naming convention |
Moves
* `Units.ext` -> `Units.val_injective`
* `Units.eq_iff` -> `Units.val_inj`
---
[](https://gitpod.io/from-referrer/)
|
|
63/57 |
Mathlib/Algebra/GCDMonoid/Basic.lean,Mathlib/Algebra/Group/Center.lean,Mathlib/Algebra/Group/Units/Defs.lean,Mathlib/Algebra/Order/Monoid/Units.lean,Mathlib/Algebra/Polynomial/UnitTrinomial.lean,Mathlib/Algebra/Ring/Units.lean,Mathlib/Analysis/Complex/Isometry.lean,Mathlib/Data/Complex/Determinant.lean,Mathlib/Data/Fintype/Units.lean,Mathlib/Data/ZMod/Units.lean,Mathlib/FieldTheory/Finite/Basic.lean,Mathlib/GroupTheory/OrderOfElement.lean,Mathlib/LinearAlgebra/CliffordAlgebra/SpinGroup.lean,Mathlib/LinearAlgebra/Determinant.lean,Mathlib/LinearAlgebra/Lagrange.lean,Mathlib/LinearAlgebra/Matrix/SpecialLinearGroup.lean,Mathlib/NumberTheory/ArithmeticFunction.lean,Mathlib/NumberTheory/DirichletCharacter/Basic.lean,Mathlib/NumberTheory/DirichletCharacter/GaussSum.lean,Mathlib/NumberTheory/LucasPrimality.lean,Mathlib/NumberTheory/MulChar/Basic.lean,Mathlib/NumberTheory/NumberField/Units/Basic.lean,Mathlib/RingTheory/ClassGroup.lean,Mathlib/RingTheory/Fintype.lean,Mathlib/RingTheory/IntegralDomain.lean,Mathlib/RingTheory/RootsOfUnity/Basic.lean,Mathlib/RingTheory/RootsOfUnity/EnoughRootsOfUnity.lean,Mathlib/RingTheory/Valuation/RankOne.lean,Mathlib/Topology/Algebra/Constructions.lean,Mathlib/Topology/Algebra/IsOpenUnits.lean,MathlibTest/instance_diamonds.lean |
31 |
1 |
['github-actions'] |
nobody |
4-11393 4 days ago |
4-11410 4 days ago |
11-80432 11 days |
| 25692 |
Whysoserioushah author:Whysoserioushah |
feat(RingTheory/MatrixAlgebra): add a more general version of `matrixEquivTensor` |
This adds `tensorMatrixLinearEquiv : A ⊗[R] Matrix n n B ≃ₐ[S] Matrix n n (A ⊗[R] B)`
which is a more general version of `matrixEquivTensor : Matrix n n A ≃ₐ[R] (A ⊗[R] Matrix n n R)`.
The latter is then implemented as a trivial consequence of the former.
Many internal implementation details are deleted without deprecation, although strictly these were not `private.
Co-authored-by: @erdOne
Co-authored-by: Eric Wieser
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
108/99 |
Mathlib/Data/Matrix/Basis.lean,Mathlib/RingTheory/MatrixAlgebra.lean |
2 |
12 |
['Whysoserioushah', 'eric-wieser', 'github-actions'] |
nobody |
3-86098 3 days ago |
5-36237 5 days ago |
22-5641 22 days |
| 26464 |
joelriou author:joelriou |
feat(LinearAlgebra): generators of pi tensor products |
In this PR, we show that the `R`-module `⨂[R] i, M i` is finitely generated if the index type is finite and all `M i` are finitely generated. This follows from a more precise result about generators of `⨂[R] i, M i`.
---
This PR continues the work from #18725.
Original PR: https://github.com/leanprover-community/mathlib4/pull/18725 |
file-removed
t-algebra
label:t-algebra$ |
275/4 |
Mathlib.lean,Mathlib/Analysis/NormedSpace/PiTensorProduct/ProjectiveSeminorm.lean,Mathlib/Data/Set/SubtypeNeLift.lean,Mathlib/LinearAlgebra/PiTensorProduct/Basic.lean,Mathlib/LinearAlgebra/PiTensorProduct/Finite.lean,Mathlib/LinearAlgebra/PiTensorProduct/Generators.lean,Mathlib/LinearAlgebra/TensorPower/Basic.lean,Mathlib/RingTheory/PiTensorProduct.lean,Mathlib/SetTheory/Cardinal/Finite.lean |
9 |
8 |
['eric-wieser', 'github-actions', 'joelriou'] |
nobody |
3-84960 3 days ago |
3-84960 3 days ago |
4-61721 4 days |
| 25781 |
emilyriehl author:emilyriehl |
Feat(CategoryTheory): terminal categories with an application to hoFunctor |
Some preliminary API around terminal categories is developed with an application for the infinity-cosmos project: proving that the homotopy category functor preserves terminal objects. We also include proofs that `[0]` is terminal in the simplex category and `Δ[0]` is the terminal simplicial set.
Co-authored by [Robin Carlier](robin.carlier@ens-lyon.fr), [Jakob von Raumer](https://github.com/javra), [Adam Topaz](topaz@ualberta.ca), and [Zeyi Zhao](zzhao95@jh.edu).
---
[](https://gitpod.io/from-referrer/)
---
*This PR continues the work from #25459.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/25459* |
infinity-cosmos
large-import
t-category-theory
|
168/2 |
Mathlib.lean,Mathlib/AlgebraicTopology/SimplexCategory/Basic.lean,Mathlib/AlgebraicTopology/SimplicialSet/HomotopyCat.lean,Mathlib/AlgebraicTopology/SimplicialSet/Monoidal.lean,Mathlib/CategoryTheory/Category/Cat/Terminal.lean,Mathlib/CategoryTheory/Category/ReflQuiv.lean,Mathlib/CategoryTheory/Quotient.lean |
7 |
16 |
['emilyriehl', 'github-actions', 'joelriou'] |
nobody |
3-81352 3 days ago |
3-81352 3 days ago |
5-33680 5 days |
| 25782 |
emilyriehl author:emilyriehl |
feat(CategoryTheory/Category/Cat): cartesian closed instance on small categories |
The category of small categories is cartesian closed, with exponentials defined by functor categories. Adjoint transposition is defined by currying and uncurrying.
[](https://gitpod.io/from-referrer/)
---
*This PR continues the work from #25646.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/25646* |
infinity-cosmos
t-category-theory
|
160/1 |
Mathlib.lean,Mathlib/CategoryTheory/Category/Cat.lean,Mathlib/CategoryTheory/Category/Cat/CartesianClosed.lean,Mathlib/CategoryTheory/Functor/Currying.lean |
4 |
11 |
['callesonne', 'emilyriehl', 'github-actions', 'joelriou'] |
nobody |
3-76262 3 days ago |
3-76474 3 days ago |
6-12257 6 days |
| 26510 |
alreadydone author:alreadydone |
feat(Matroid): exchange lemmas involving closure |
---
for #24350
[](https://gitpod.io/from-referrer/)
|
t-data
t-combinatorics
|
37/0 |
Mathlib/Data/Matroid/Closure.lean |
1 |
1 |
['github-actions'] |
nobody |
3-75554 3 days ago |
3-75580 3 days ago |
3-75626 3 days |
| 25784 |
emilyriehl author:emilyriehl |
feat(Bicategory/CatEnriched): 2-cat from Cat-enriched cat |
A construction of the canonical strict bicategory structure given a `EnrichedCategory Cat C`.
From the ∞-cosmos project.
Co-Authored-By: Emily Riehl
---
[](https://gitpod.io/from-referrer/)
---
*This PR continues the work from #25287.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/25287* |
infinity-cosmos
t-category-theory
|
341/0 |
Mathlib.lean,Mathlib/CategoryTheory/Bicategory/CatEnriched.lean,Mathlib/CategoryTheory/Monoidal/Cartesian/Cat.lean |
3 |
4 |
['emilyriehl', 'github-actions', 'joelriou'] |
nobody |
3-74753 3 days ago |
3-74753 3 days ago |
4-35587 4 days |
| 26512 |
pechersky author:pechersky |
feat(RingTheory/Valuation/Integers): nontrivial_iff |
valuation subring is nontrivial iff ring is nontrivial
stated using Integers to be more general
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
t-analysis
t-number-theory
easy
label:t-algebra$ |
13/0 |
Mathlib/RingTheory/Valuation/Integers.lean |
1 |
1 |
['github-actions'] |
nobody |
3-74102 3 days ago |
3-74145 3 days ago |
3-74160 3 days |
| 26060 |
kckennylau author:kckennylau |
feat(RingTheory): define Grassmannians |
This defines the Grassmannians of a module over a ring.
---
Zulip discussion: [#maths > Projective Space](https://leanprover.zulipchat.com/#narrow/channel/116395-maths/topic/Projective.20Space/with/524057860)
[](https://gitpod.io/from-referrer/)
|
t-algebra
t-algebraic-geometry
label:t-algebra$ |
94/0 |
Mathlib.lean,Mathlib/RingTheory/Grassmannian.lean,docs/references.bib |
3 |
29 |
['erdOne', 'eric-wieser', 'github-actions', 'kckennylau', 'mattrobball'] |
nobody |
3-72913 3 days ago |
15-35205 15 days ago |
15-39766 15 days |
| 24350 |
erdOne author:erdOne |
feat(FieldTheory): fg extension over perfect field is separably generated |
Co-authored-by: Christian Merten
---
- [x] depends on: #24344
- [x] depends on: #24346
- [x] depends on: #24347
- [x] depends on: #24348
- [x] depends on: #24349
- [x] depends on: #25062
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
466/0 |
Mathlib.lean,Mathlib/FieldTheory/IntermediateField/Algebraic.lean,Mathlib/FieldTheory/SeparableClosure.lean,Mathlib/FieldTheory/SeparablyGenerated.lean,Mathlib/RingTheory/AlgebraicIndependent/Basic.lean,Mathlib/RingTheory/AlgebraicIndependent/TranscendenceBasis.lean |
6 |
29 |
['alreadydone', 'erdOne', 'github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
3-61708 3 days ago |
20-6303 20 days ago |
20-6300 20 days |
| 26448 |
YaelDillies author:YaelDillies |
refactor: simplify `(f₁ ⊗ₘ f₂) ≫ (g₁ ⊗ₘ g₂)` to `(f₁ ≫ g₁) ⊗ₘ (f₂ ≫ g₂)` |
... instead of the other way around. This is motivated by the fact that homs happening "in parallel" is a non-concept (time along a branch can always be reparametrised), while homs happening "in series" is a well-defined concept. One should not simp the well-defined concept into the non-concept but instead the other way around.
This is also motivated by the advent of the `mon_tauto` simp set in #26057.
From Toric
---
[](https://gitpod.io/from-referrer/)
|
toric
t-category-theory
|
115/119 |
Mathlib/Algebra/Category/ModuleCat/Monoidal/Basic.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/Monoidal.lean,Mathlib/CategoryTheory/Bicategory/End.lean,Mathlib/CategoryTheory/Dialectica/Monoidal.lean,Mathlib/CategoryTheory/Enriched/Basic.lean,Mathlib/CategoryTheory/Enriched/FunctorCategory.lean,Mathlib/CategoryTheory/GradedObject/Braiding.lean,Mathlib/CategoryTheory/GradedObject/Monoidal.lean,Mathlib/CategoryTheory/Localization/Monoidal.lean,Mathlib/CategoryTheory/Monoidal/Braided/Basic.lean,Mathlib/CategoryTheory/Monoidal/Braided/Reflection.lean,Mathlib/CategoryTheory/Monoidal/Cartesian/Basic.lean,Mathlib/CategoryTheory/Monoidal/Category.lean,Mathlib/CategoryTheory/Monoidal/Free/Basic.lean,Mathlib/CategoryTheory/Monoidal/Functor.lean,Mathlib/CategoryTheory/Monoidal/FunctorCategory.lean,Mathlib/CategoryTheory/Monoidal/Internal/Limits.lean,Mathlib/CategoryTheory/Monoidal/Limits.lean,Mathlib/CategoryTheory/Monoidal/Mon_.lean,Mathlib/CategoryTheory/Monoidal/NaturalTransformation.lean,Mathlib/CategoryTheory/Monoidal/Opposite.lean,Mathlib/CategoryTheory/Monoidal/Preadditive.lean,Mathlib/CategoryTheory/Monoidal/Transport.lean,Mathlib/CategoryTheory/Monoidal/Types/Coyoneda.lean |
24 |
4 |
['YaelDillies', 'eric-wieser', 'github-actions', 'robin-carlier'] |
nobody |
3-57987 3 days ago |
4-3037 4 days ago |
4-36106 4 days |
| 26524 |
pechersky author:pechersky |
chore(RingTheory/Valuation): Valution.Integers implies IsFractionRing |
generalize `IsFractionRing v.integer K` to `IsFractionRing O K` when `v.Integers O K`.
Since `IsFractionRing` is prop, one should have a prop-relationship between the valuation subring and base ring
On the way, remove `IsDomain O` from the necessary TC arguments, since it is implied by `Valuation.Integers`
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
35/22 |
Mathlib/RingTheory/Valuation/ValuationRing.lean |
1 |
1 |
['github-actions'] |
nobody |
3-53786 3 days ago |
3-53797 3 days ago |
3-53838 3 days |
| 25348 |
wwylele author:wwylele |
feat(LinearAlgebra): add independent iSup to LinearPMap |
This is part of #25140. To obtain the Hahn embedding, we need to construct an partial linear map spanned by a family of submodules as the base case. This PR prepares for it.
---
[](https://gitpod.io/from-referrer/)
|
large-import
t-algebra
label:t-algebra$ |
94/2 |
Mathlib/LinearAlgebra/DFinsupp.lean,Mathlib/LinearAlgebra/LinearPMap.lean |
2 |
3 |
['eric-wieser', 'github-actions', 'wwylele'] |
nobody |
3-37882 3 days ago |
31-64314 1 month ago |
31-64376 31 days |
| 26204 |
Raph-DG author:Raph-DG |
feat(AlgebraicGeometry): Add global preorder instance for schemes |
In this PR we added a default preorder instance for schemes, defined to be the specialization order as discussed here: https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/dimension.20function.20for.20schemes/near/524997376 for discussion
---
[](https://gitpod.io/from-referrer/)
|
t-algebraic-geometry
easy
|
15/0 |
Mathlib/AlgebraicGeometry/AffineSpace.lean,Mathlib/AlgebraicGeometry/Scheme.lean |
2 |
3 |
['Raph-DG', 'erdOne', 'github-actions'] |
nobody |
3-12691 3 days ago |
8-82895 8 days ago |
12-15046 12 days |
| 26531 |
JovanGerb author:JovanGerb |
fix(RefinedDiscrTree): remove funny `transparency` handling |
This PR fixes some funny behaviour of `RefinedDiscrTree` discovered at #26484.
This PR aligns the behaviour with Lean core's `DiscrTree`. The original reason for this special treatment was to avoid a mathlib breakage. But now it turns out that this special trearment also causes a mathlib breakage (but this one is harder to fix).
The breakage that was the original reason for this behaviour is easily fixed using a `dsimp`.
#26484 depends on this PR
---
[](https://gitpod.io/from-referrer/)
|
t-meta |
6/13 |
Mathlib/Lean/Meta/RefinedDiscrTree/Basic.lean,Mathlib/Lean/Meta/RefinedDiscrTree/Encode.lean,Mathlib/Probability/ProductMeasure.lean |
3 |
2 |
['github-actions', 'grunweg'] |
nobody |
3-9603 3 days ago |
3-39758 3 days ago |
3-39803 3 days |
| 26535 |
joelriou author:joelriou |
feat(Algebra/Homology/Embedding): the homology of the restriction |
Given an embedding of complex shapes, we provide an API to compute the homology of the "restriction".
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
t-category-theory
label:t-algebra$ |
122/0 |
Mathlib/Algebra/Homology/Embedding/RestrictionHomology.lean,Mathlib/Algebra/Homology/ShortComplex/HomologicalComplex.lean |
2 |
1 |
['github-actions'] |
nobody |
3-6351 3 days ago |
3-9830 3 days ago |
3-9872 3 days |
| 26295 |
DavidJWebb author:DavidJWebb |
feat: filtering lists and bounded quantifiers are primitive recursive |
A few useful lemmas not explicitly in Primrec.lean :
- Filtering for elements from a list that meet a primrec criterion is primrec
- Checking whether a list has some element meeting a primrec criterion is primrec
- Checking whether every element of a list meets a primrec criterion is primrec
- Primitive recursive functions are closed under bounded existential and universal quantifiers
---
[](https://gitpod.io/from-referrer/)
|
t-computability
new-contributor
|
210/0 |
Mathlib.lean,Mathlib/Computability/PrimrecFilter.lean |
2 |
3 |
['DavidJWebb', 'github-actions', 'grunweg'] |
nobody |
3-5414 3 days ago |
9-19976 9 days ago |
9-21667 9 days |
| 26192 |
kckennylau author:kckennylau |
feat(LinearAlgebra): symmetric tensor power |
---
Zulip: [#mathlib4 > Proposal: Symmetric Tensor Power](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Proposal.3A.20Symmetric.20Tensor.20Power/with/524795235)
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
124/0 |
Mathlib.lean,Mathlib/LinearAlgebra/TensorPower/Symmetric.lean |
2 |
5 |
['AntoineChambert-Loir', 'erdOne', 'eric-wieser', 'github-actions'] |
nobody |
2-86178 2 days ago |
13-40870 13 days ago |
13-40915 13 days |
| 25743 |
robin-carlier author:robin-carlier |
feat(AlgebraicTopology/SimplexCategory/Augmented): monoidal structure on `AugmentedSimplexCategory` |
We construct a monoidal category structure on `AugmentedSimplexCategory`. The tensor products corresponds to ordinal sum. We characterize morphisms out of a tensor product of object in terms of their precomposition with canonical maps `x ⟶ x ⊗ y` and `y ⟶ x ⊗ y` coming from the fact that the unit is an initial object.
---
- [x] depends on: #25742
Future work includes using this monoidal structure and Day convolution to define the join monoidal structure on augmented simplicial sets, and also using this category as a way to encode monoidal and monadic bar constructions.
[](https://gitpod.io/from-referrer/)
---
*This PR continues the work from #22768.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/22768* |
t-topology
t-category-theory
|
512/111 |
Mathlib.lean,Mathlib/AlgebraicTopology/SimplexCategory/Augmented.lean,Mathlib/AlgebraicTopology/SimplexCategory/Augmented/Basic.lean,Mathlib/AlgebraicTopology/SimplexCategory/Augmented/Monoidal.lean,Mathlib/AlgebraicTopology/SimplexCategory/Basic.lean |
5 |
3 |
['github-actions', 'mathlib4-dependent-issues-bot', 'robin-carlier'] |
nobody |
2-80736 2 days ago |
17-63238 17 days ago |
17-63222 17 days |
| 26155 |
xroblot author:xroblot |
feat(DedekindDomain/Different): add the transitivity formula |
This PR proves the transitivity formula for the different ideal.
It introduces ~~two~~ one increase~~s~~ in imports:
- `RingTheory.FractionalIdeal.Extended`: this is a short leaf file and I think the import makes sense there
- ~~`RingTheory.Localization.Defs.lean `: the file `Algebra.Algebra.Basic` is added since it is necessary to have the definition of `noZeroSMulDivisors` to get that some algebra map is injective. The import could be removed by stating the hypothesis as `Function.Injective (algebraMap * *)` but it is not the usual spelling (and cannot be synthesized by Lean). In the end, it appears that the increased import only affects three files so maybe it's fine.~~
The PR also adds two new instances:
- `FiniteDimensional (FractionRing A) (FractionRing B)` deduced from `Module.Finite A B` when `B` is a Dedekind domain.
- `IsScalarTower (FractionRing A) (FractionRing B) (FractionRing C)` deduced from `IsScalarTower A B C`
---
[](https://gitpod.io/from-referrer/)
|
large-import
t-algebra
label:t-algebra$ |
207/4 |
Mathlib/RingTheory/DedekindDomain/Different.lean,Mathlib/RingTheory/DedekindDomain/IntegralClosure.lean,Mathlib/RingTheory/FractionalIdeal/Extended.lean,Mathlib/RingTheory/Localization/Basic.lean,Mathlib/RingTheory/Localization/FractionRing.lean |
5 |
13 |
['erdOne', 'github-actions', 'xroblot'] |
nobody |
2-80186 2 days ago |
5-80949 5 days ago |
10-77957 10 days |
| 25832 |
xroblot author:xroblot |
feat(FieldTheory/LinearDisjoint): `trace` (resp. `norm`) and `algebraMap` commutes |
For `A` and `B` two linearly disjoint `R`-subalgebras in a commutative algebra `S` and `b` a `R`-basis of `B`, we construct a `A`-basis of `S = A ⊔ B` from `b` (and a similar construction using a `R`-basis of `A`). Then, we prove in this situation that `trace` commutes with `algebraMap`, that is:
```lean
Algebra.trace A S (algebraMap B S x) = algebraMap R A (Algebra.trace R B x)
```
and a similar result for the norm.
We also add a similar basis construction for `A` and `B` two linearly disjoint intermediate fields with the hypothesis that `A.toSubalgebra ⊔ B.toSubalgebra = ⊤`. This hypothesis is equivalent to `A ⊔ B = ⊤` in many cases (for example, one of the two extensions is algebraic over the base field) but not always.
---
[](https://gitpod.io/from-referrer/)
|
large-import
t-algebra
label:t-algebra$ |
161/9 |
Mathlib/FieldTheory/LinearDisjoint.lean,Mathlib/RingTheory/LinearDisjoint.lean |
2 |
23 |
['acmepjz', 'github-actions', 'xroblot'] |
nobody |
2-79882 2 days ago |
12-13062 12 days ago |
19-44448 19 days |
| 26545 |
pechersky author:pechersky |
chore(RingTheory/Valuation): generalize lemmas about valuation of irreducibles in subring |
To prepare for generalization of LocallyCompact to Valued from NormedField
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
t-analysis
t-number-theory
label:t-algebra$ |
94/33 |
Mathlib/RingTheory/DiscreteValuationRing/Basic.lean,Mathlib/RingTheory/Valuation/Integers.lean,Mathlib/Topology/Algebra/Valued/LocallyCompact.lean |
3 |
1 |
['github-actions'] |
nobody |
2-76253 2 days ago |
2-76301 2 days ago |
2-76307 2 days |
| 26357 |
javra author:javra |
feat(CategoryTheory): linear categories as `ModuleCat R`-enriched categories |
Continues #23826.
---
[](https://gitpod.io/from-referrer/)
|
large-import |
195/0 |
Mathlib.lean,Mathlib/Algebra/Category/ModuleCat/Monoidal/Basic.lean,Mathlib/CategoryTheory/Enriched/Linear.lean,Mathlib/CategoryTheory/Linear/Basic.lean,Mathlib/CategoryTheory/Monoidal/Linear.lean |
5 |
1 |
['github-actions'] |
nobody |
2-75363 2 days ago |
8-78747 8 days ago |
8-78799 8 days |
| 26351 |
RemyDegenne author:RemyDegenne |
feat: covering and packing numbers of sets in a metric space |
We define covering numbers of sets in a pseudo-metric space, which are minimal cardinalities of
`ε`-covers of sets. We also define the packing number, which is the maximal cardinality of
an `ε`-separated set.
From the Brownian motion project.
---
[](https://gitpod.io/from-referrer/)
|
t-topology |
261/0 |
Mathlib.lean,Mathlib/Topology/MetricSpace/CoveringNumbers.lean |
2 |
4 |
['ADedecker', 'YaelDillies', 'github-actions'] |
nobody |
2-74846 2 days ago |
9-6072 9 days ago |
9-6119 9 days |
| 22322 |
mariainesdff author:mariainesdff |
feat(RingTheory/DividedPowers/RatAlgebra): add definitions |
In this file we show that, for certain choices of a commutative (semi)ring `A` and an ideal `I` of
`A`, the family of maps `ℕ → A → A` given by `fun n x ↦ x^n/n!` is a divided power structure on `I`.
Co-authored-by: AntoineChambert-Loir
---
- [x] depends on: #22237
- [x] depends on: #22239
- [x] depends on: #22240
- [x] depends on: #24439
[](https://gitpod.io/from-referrer/)
|
large-import
t-algebra
label:t-algebra$ |
356/2 |
Mathlib.lean,Mathlib/Data/Nat/Factorial/NatCast.lean,Mathlib/RingTheory/DividedPowers/RatAlgebra.lean |
3 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
2-74490 2 days ago |
2-74492 2 days ago |
5-56973 5 days |
| 26498 |
EtienneC30 author:EtienneC30 |
feat: projections and injections for WithLp |
Introduce `WithLp.fst` and `WithLp.snd` to avoid defeq abuse by writing `x.1` when `x : WithLp p (α × β)`. Also add a `ContinuousLinearMap` version.
Introduce `WithLp.inl` (resp. `WithLp.inr`) as a linear isometry from `α` (resp. β) to `WithLp p (α × β)`.
Introduce `PiLp.single` as a linear isometry from `β i` to `PiLp p β`.
---
[](https://gitpod.io/from-referrer/)
|
t-analysis |
107/7 |
Mathlib/Analysis/Normed/Lp/PiLp.lean,Mathlib/Analysis/Normed/Lp/ProdLp.lean,Mathlib/Analysis/Normed/Lp/WithLp.lean,Mathlib/LinearAlgebra/Pi.lean |
4 |
6 |
['EtienneC30', 'b-mehta', 'eric-wieser', 'github-actions'] |
nobody |
2-73117 2 days ago |
3-75700 3 days ago |
4-40844 4 days |
| 26277 |
AntoineChambert-Loir author:AntoineChambert-Loir |
feat(RingTheory/Congruence/Hom): prove basic isomorphisms theorems for ring congruences |
This file contains elementary definitions involving congruence
relations and morphisms for semirings, rings, and algebras.
* `RingCon.ker`: the kernel of a monoid homomorphism as a congruence relation
* `RingCon.lift`, `RingCon.liftₐ`: the homomorphism / the algebra morphism
on the quotient given that the congruence is in the kernel
* `RingCon.map`, `RingCon.mapₐ`: homomorphism / algebra morphism
from a smaller to a larger quotient
* `RingCon.quotientKerEquivRangeS`, `RingCon.quotientKerEquivRange`,
`RingCon.quotientKerEquivRangeₐ` :
the first isomorphism theorem for semirings (using `RingHom.rangeS`),
rings (using `RingHom.range`) and algebras (using `AlgHom.range`).
* `RingCon.comapQuotientEquivRangeS`, `RingCon.comapQuotientEquivRange`,
`RingCon.comapQuotientEquivRangeₐ` : the second isomorphism theorem
for semirings (using `RingHom.rangeS`), rings (using `RingHom.range`)
and algebras (using `AlgHom.range`).
* `RingCon.quotientQuotientEquivQuotient`, `RingCon.quotientQuotientEquivQuotientₐ` :
the third isomorphism theorem for semirings (or rings) and algebras
It is an adaptation of what existed for multiplicative congruences (docs#Con) and is only useful for semirings which are not rings.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
555/2 |
Mathlib.lean,Mathlib/Algebra/Ring/Subsemiring/Basic.lean,Mathlib/Algebra/RingQuot.lean,Mathlib/RingTheory/Congruence/Basic.lean,Mathlib/RingTheory/Congruence/Defs.lean,Mathlib/RingTheory/Congruence/Hom.lean |
6 |
1 |
['github-actions'] |
nobody |
2-69721 2 days ago |
10-48808 10 days ago |
10-48857 10 days |
| 25945 |
adomani author:adomani |
feat: the empty line in commands linter |
This linter flags empty lines within a command.
It allows empty lines within doc-strings, module-docs and a couple of other "sensible" places.
It also skips files that are likely to contain meta-code, since there the use of empty lines in definition is more widespread.
This PR continues the work from #25236. |
large-import
maintainer-merge
|
375/5 |
Mathlib.lean,Mathlib/CategoryTheory/Comma/StructuredArrow/CommaMap.lean,Mathlib/Init.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Linter/EmptyLine.lean,MathlibTest/EmptyLine.lean |
6 |
3 |
['adomani', 'github-actions'] |
nobody |
2-68410 2 days ago |
17-14627 17 days ago |
17-14681 17 days |
| 26521 |
YaelDillies author:YaelDillies |
chore(Algebra/BigOperators): rename variables away from greek letters |
Uniformise the variables to `ι`, `κ` for the indexing types, `M`, `N` for monoids, `G` for groups, `M₀` for monoids with zero, `R` for (semi)rings.
Also delete a duplicated lemma which suddenly became problematic.
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
442/456 |
Mathlib/Algebra/BigOperators/Associated.lean,Mathlib/Algebra/BigOperators/Fin.lean,Mathlib/Algebra/BigOperators/Finsupp/Basic.lean,Mathlib/Algebra/BigOperators/Group/Finset/Defs.lean,Mathlib/Algebra/BigOperators/Group/Finset/Lemmas.lean,Mathlib/Algebra/BigOperators/Group/Finset/Piecewise.lean,Mathlib/Algebra/BigOperators/Group/List/Basic.lean,Mathlib/Algebra/BigOperators/Group/List/Lemmas.lean,Mathlib/Algebra/BigOperators/Group/Multiset/Basic.lean,Mathlib/Algebra/BigOperators/Group/Multiset/Defs.lean,Mathlib/Algebra/BigOperators/GroupWithZero/Action.lean,Mathlib/Algebra/BigOperators/Intervals.lean,Mathlib/Algebra/BigOperators/Pi.lean,Mathlib/Algebra/BigOperators/Ring/Finset.lean,Mathlib/Algebra/BigOperators/Ring/Multiset.lean,Mathlib/Algebra/BigOperators/Sym.lean,Mathlib/Algebra/BigOperators/WithTop.lean,Mathlib/Data/Complex/Exponential.lean,Mathlib/FieldTheory/Finite/Polynomial.lean,Mathlib/LinearAlgebra/Matrix/Trace.lean,Mathlib/NumberTheory/LegendreSymbol/JacobiSymbol.lean,Mathlib/NumberTheory/SumPrimeReciprocals.lean |
22 |
7 |
['YaelDillies', 'b-mehta', 'github-actions'] |
nobody |
2-65047 2 days ago |
2-65047 2 days ago |
2-65062 2 days |
| 26035 |
fbarroero author:fbarroero |
feat(Analysis/Polynomial/MahlerMeasure): the Mahler measure of a complex polynomial |
We introduce the Mahler measure of a complex polynomial and prove some basic facts.
---
[](https://gitpod.io/from-referrer/)
|
t-analysis |
127/1 |
Mathlib.lean,Mathlib/Analysis/Polynomial/MahlerMeasure.lean,Mathlib/MeasureTheory/Integral/CircleIntegral.lean |
3 |
1 |
['github-actions'] |
nobody |
2-60703 2 days ago |
14-67953 14 days ago |
14-67957 14 days |
| 25951 |
themathqueen author:themathqueen |
feat(Analysis/InnerProductSpace/MulOpposite): defines the inner product on opposite spaces |
This pr defines the inner product on opposite spaces.
- [ ] depends on #25949
---
[](https://gitpod.io/from-referrer/)
|
new-contributor |
117/0 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/MulOpposite.lean,Mathlib/LinearAlgebra/Basis/MulOpposite.lean |
3 |
1 |
['github-actions'] |
nobody |
2-58972 2 days ago |
17-2795 17 days ago |
17-2787 17 days |
| 26543 |
vihdzp author:vihdzp |
feat(SetTheory/ZFC/VonNeumann): von Neumann hierarchy of sets |
Ported from #17027. For extra discussion on this PR, see [Zulip](https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/.2317027.20.2C.20.2326518.20von.20Neumann.20hierarchy/with/526389347).
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory
maintainer-merge
|
133/0 |
Mathlib.lean,Mathlib/SetTheory/Ordinal/Basic.lean,Mathlib/SetTheory/ZFC/Basic.lean,Mathlib/SetTheory/ZFC/VonNeumann.lean |
4 |
55 |
['alreadydone', 'github-actions', 'kckennylau', 'vihdzp'] |
nobody |
2-49376 2 days ago |
2-49617 2 days ago |
2-79156 2 days |
| 25910 |
themathqueen author:themathqueen |
feat(Algebra/Ring/Idempotent): for idempotent `p,q`, `q-p` is idempotent iff `pq=p=qp` |
Added useful lemmas for idempotents and projections.
Main result:
- IsIdempotentElem.sub_iff: if `p` and `q` are idempotent elements, then `q - p` is idempotent iff `p * q = p = q * p`
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebra
label:t-algebra$ |
89/0 |
Mathlib/Algebra/Ring/Idempotent.lean,Mathlib/LinearAlgebra/Projection.lean |
2 |
23 |
['github-actions', 'tb65536', 'themathqueen'] |
nobody |
2-47125 2 days ago |
3-20782 3 days ago |
5-54944 5 days |
| 26404 |
grunweg author:grunweg |
chore: clean up and remove FunProp/Differentiable |
- one lemma in that file already exists, hence can be removed
(We don't add a deprecation as I presume people will not have used it.)
- move the three remaining lemmas in that file to their proper place, and use the now `fun_` naming convention
(Omitting deprecations again.)
- after this, `FunProp/Differentiable` is empty and need not be imported any more: add a module deprecation
---
- [x] depends on: #26355
[](https://gitpod.io/from-referrer/)
|
tech debt |
23/49 |
Mathlib/Analysis/Calculus/FDeriv/Comp.lean,Mathlib/Tactic/FunProp/ContDiff.lean,Mathlib/Tactic/FunProp/Differentiable.lean,MathlibTest/fun_prop2.lean |
4 |
3 |
['github-actions', 'grunweg', 'mathlib4-dependent-issues-bot'] |
nobody |
2-42525 2 days ago |
7-68291 7 days ago |
7-68336 7 days |
| 25947 |
qawbecrdtey author:qawbecrdtey |
feat(Data/Nat/Factors): added lemmas including `primeFactorsList_length_ne_zero` |
---
Added lemmas `primeFactorsList_length_ne_zero`, `primeFactorsList_prime_iff`, and `primeFactorsList_length_eq_one`.
```lean
theorem primeFactorsList_length_ne_zero (n : ℕ) : n.primeFactorsList.length ≠ 0 ↔ 2 ≤ n
theorem primeFactorsList_prime_iff {p : ℕ} : p.primeFactorsList = [p] ↔ p.Prime
@[simp]
theorem primeFactorsList_length_eq_one (n : ℕ) : n.primeFactorsList.length = 1 ↔ n.Prime
```
[](https://gitpod.io/from-referrer/)
|
t-data |
21/3 |
Mathlib/Data/Nat/Factors.lean |
1 |
5 |
['Ruben-VandeVelde', 'github-actions', 'qawbecrdtey'] |
nobody |
2-38163 2 days ago |
17-2590 17 days ago |
17-11192 17 days |
| 26483 |
metakunt author:metakunt |
feat (RingTheory/RootsOfUnity/PrimitiveRoots) : Add equiv_primitiveRoots_of_coprimePow |
Adds equivalence of r-th primitive roots by a coprime e. |
new-contributor
t-algebra
label:t-algebra$ |
79/0 |
Mathlib/RingTheory/RootsOfUnity/PrimitiveRoots.lean |
1 |
6 |
['Citronhat', 'github-actions', 'metakunt'] |
nobody |
2-35361 2 days ago |
5-51721 5 days ago |
5-51766 5 days |
| 26552 |
Komyyy author:Komyyy |
feat: equivalent condition for subgroups to be simple |
And simpleness of isomorphic groups are equivalent.
Required to prove that A_n is simple iff n = 3 or 5 ≤ n(#26051).
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
23/1 |
Mathlib/GroupTheory/Subgroup/Simple.lean |
1 |
1 |
['github-actions'] |
nobody |
2-32498 2 days ago |
2-66523 2 days ago |
2-66508 2 days |
| 26555 |
Komyyy author:Komyyy |
feat: lemmas about betweeness on a linear space |
This PR also adds aliases of the inverse direction of betweeness iff lemmas.
---
[](https://gitpod.io/from-referrer/)
|
t-euclidean-geometry |
86/0 |
Mathlib/Analysis/Convex/Between.lean |
1 |
1 |
['github-actions'] |
nobody |
2-32399 2 days ago |
2-60394 2 days ago |
2-63603 2 days |
| 26571 |
dupuisf author:dupuisf |
chore: Add grind tags for `Set.mem_Ixx` |
This adds `grind` tags to the various `Set.mem_Ixx` lemmas, which should let the grind linarith module discharge goals of this form.
I went with the convervative option of only including the `grind =` pattern, which only fires on the LHS of these lemmas. One could also consider having patterns going the other way as well (i.e. `grind _=_` for `mem_Ioi` or multi-patterns for `mem_Ioo` and so on).
---
[](https://gitpod.io/from-referrer/)
|
t-order |
8/8 |
Mathlib/Order/Interval/Set/Defs.lean |
1 |
1 |
['github-actions'] |
nobody |
2-26256 2 days ago |
2-26329 2 days ago |
2-26313 2 days |
| 26536 |
peterjunglas author:peterjunglas |
fix (Data/Matrix/Rank): extend applicability of rank_submatrix_le |
The current version of `rank_submatrix_le` is restricted to square matrices and doesn't allow for the reduction of lines. Both restrictions can be removed easily without changing the proof.
---
[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
|
3/2 |
Mathlib/Data/Matrix/Rank.lean |
1 |
1 |
['github-actions', 'mbkybky'] |
nobody |
2-14326 2 days ago |
3-9175 3 days ago |
3-9219 3 days |
| 26541 |
YaelDillies author:YaelDillies |
chore: rename `ZMod.natCast_zmod_eq_zero_iff_dvd` to `ZMod.natCast_eq_zero_iff` |
This matches `CharP.cast_eq_zero_iff`
---
[](https://gitpod.io/from-referrer/)
|
t-data |
20/18 |
Archive/Imo/Imo2024Q2.lean,Archive/Wiedijk100Theorems/FriendshipGraphs.lean,Mathlib/Data/ZMod/Basic.lean,Mathlib/NumberTheory/Fermat.lean,Mathlib/NumberTheory/LucasLehmer.lean,Mathlib/NumberTheory/Padics/RingHoms.lean,Mathlib/NumberTheory/SumFourSquares.lean,Mathlib/NumberTheory/Wilson.lean,Mathlib/RingTheory/Fintype.lean,Mathlib/RingTheory/Polynomial/Cyclotomic/Basic.lean,Mathlib/RingTheory/RootsOfUnity/Minpoly.lean |
11 |
1 |
['github-actions'] |
nobody |
2-13279 2 days ago |
2-13279 2 days ago |
3-162 3 days |
| 26378 |
EtienneC30 author:EtienneC30 |
feat: inner product against funBasis |
Also remove the `simp` attribute off [PiLp.inner_apply](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Analysis/InnerProductSpace/PiL2.html#PiLp.inner_apply).
---
[](https://gitpod.io/from-referrer/)
|
t-analysis |
17/7 |
Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Analysis/RCLike/Inner.lean |
2 |
3 |
['EtienneC30', 'eric-wieser', 'github-actions'] |
nobody |
2-628 2 days ago |
2-848 2 days ago |
8-48784 8 days |
| 26550 |
Komyyy author:Komyyy |
chore: declare `T₀ ∧ R₀ → T₁` as an instance |
As [instT2SpaceOfR1SpaceOfT0Space](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Topology/Separation/Hausdorff.html#instT2SpaceOfR1SpaceOfT0Space).
I forgot to do this in my PR(#26064).
---
[](https://gitpod.io/from-referrer/)
|
t-topology
easy
|
1/2 |
Mathlib/Topology/Separation/Basic.lean,Mathlib/Topology/Separation/GDelta.lean |
2 |
4 |
['ADedecker', 'github-actions', 'leanprover-bot'] |
nobody |
1-84482 1 day ago |
2-67852 2 days ago |
2-67837 2 days |
| 26560 |
b-mehta author:b-mehta |
chore(Topology/LiminfLimsup): split out non-algebraic content from Topology/Algebra file |
All the moved content had no algebraic material (in particular required no algebraic imports), so we move it out of Topology/Algebra. This increases discoverability and improves the global organisation of `Topology/`, and gives a net import decrease across mathlib.
---
[](https://gitpod.io/from-referrer/)
|
t-topology |
411/382 |
Mathlib.lean,Mathlib/Analysis/Asymptotics/Lemmas.lean,Mathlib/Analysis/Normed/Group/Ultra.lean,Mathlib/Analysis/Normed/Lp/lpSpace.lean,Mathlib/Analysis/Normed/Unbundled/SmoothingSeminorm.lean,Mathlib/MeasureTheory/Integral/BoundedContinuousFunction.lean,Mathlib/Order/Filter/ENNReal.lean,Mathlib/Topology/Algebra/Order/LiminfLimsup.lean,Mathlib/Topology/Instances/ENNReal/Lemmas.lean,Mathlib/Topology/Order/LiminfLimsup.lean |
10 |
1 |
['github-actions'] |
nobody |
1-74214 1 day ago |
2-54492 2 days ago |
2-54560 2 days |
| 26587 |
faenuccio author:faenuccio |
feat(RingTheory/Valuation/Discrete/Basic.lean): add Nontriviality instances for discrete valuations |
Co-authored by: María Inés de Frutos Fernández @mariainesdff
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
24/0 |
Mathlib/Algebra/GroupWithZero/Range.lean,Mathlib/RingTheory/Valuation/Discrete/Basic.lean |
2 |
1 |
['github-actions'] |
nobody |
1-69273 1 day ago |
1-75780 1 day ago |
1-75836 1 day |
| 26300 |
igorkhavkine author:igorkhavkine |
feat(Analysis/Calculus/FDeriv): continuous differentiability from continuous partial derivatives on an open domain in a product space |
If a function `f : E × F → G` is continuously differentiable, then its partial derivatives along `E` and `F` are also continuous. The non-trivial converse implication holds when the partial derivatives are continuous on an open domain, and they can be added together to give the total derivative of `f`. See this [#mathlib4 > Partial derivatives @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Partial.20derivatives/near/520995477) and the containing thread for some discussion. The PR creates a new import (`Mathlib.Analysis.Calculus.FDeriv.Partial`), where other results about partial derivatives could go in the future.
---
*this is the migration of #25304 to the PR-from-fork workflow*
- [x] depends on: #25564
- [x] depends on: #26273
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-analysis
|
309/0 |
Mathlib.lean,Mathlib/Analysis/Calculus/FDeriv/Partial.lean |
2 |
3 |
['YaelDillies', 'github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
1-65925 1 day ago |
7-11599 7 days ago |
7-83738 7 days |
| 25919 |
BoltonBailey author:BoltonBailey |
doc: suggest !bench in `lake exe pole` |
This PR makes an error message on `lake exe pole` give some information which is often relevant.
Original PR: https://github.com/leanprover-community/mathlib4/pull/12561 |
maintainer-merge |
2/1 |
LongestPole/Main.lean |
1 |
3 |
['BoltonBailey', 'Ruben-VandeVelde', 'github-actions'] |
nobody |
1-65895 1 day ago |
2-8311 2 days ago |
17-70599 17 days |
| 25970 |
wwylele author:wwylele |
feat(RingTheory): decompose archimedean classes of HahnSeries |
In preparation for #25140, this connects archimedean class and HahnSeries
---
[](https://gitpod.io/from-referrer/)
|
large-import |
493/2 |
Mathlib.lean,Mathlib/Algebra/Order/Archimedean/Class.lean,Mathlib/Order/Hom/Basic.lean,Mathlib/Order/Hom/Lex.lean,Mathlib/Order/Hom/WithTopBot.lean,Mathlib/RingTheory/HahnSeries/Lex.lean |
6 |
2 |
['ScottCarnahan', 'github-actions'] |
nobody |
1-62297 1 day ago |
16-60206 16 days ago |
16-60250 16 days |
| 26594 |
metakunt author:metakunt |
feat(Algebra/Polynomial/ZMod): Add Polynomial.equiv_of_nat_of_polynomial_zmod |
This adds an explicit bijection between the naturals and $$\mathbb{Z}/n\mathbb{Z}[X]$$ in a canonical way.
---
I feel that some API is missing to make the theorem shorter, I have no idea what lemmas to extract though.
Also I don't know when to use spaces and when not, so I did it best effort.
|
new-contributor
t-algebra
label:t-algebra$ |
465/0 |
Mathlib.lean,Mathlib/Algebra/Polynomial/ZMod.lean |
2 |
1 |
['github-actions'] |
nobody |
1-61400 1 day ago |
1-62430 1 day ago |
1-62478 1 day |
| 26114 |
wwylele author:wwylele |
feat(Data/Real): add embedding of archimedean groups into Real |
This is part of https://github.com/leanprover-community/mathlib4/pull/25140, and is the special case of Hahn embedding theorem applied to archimedean group.
----
This PR continues the work from #25157.
Original PR: https://github.com/leanprover-community/mathlib4/pull/25157 |
t-data |
231/0 |
Mathlib.lean,Mathlib/Data/Rat/Lemmas.lean,Mathlib/Data/Real/Embedding.lean |
3 |
21 |
['ScottCarnahan', 'github-actions', 'wwylele'] |
nobody |
1-61274 1 day ago |
14-63709 14 days ago |
14-63756 14 days |
| 24917 |
adomani author:adomani |
feat: deprecated module automation |
This PR is a revised version of #24861. It splits the `#create_deprecated_modules` into two commands:
* `#create_deprecated_module path/to/file.lean` that guides you through generating a deprecated file;
* `#find_deleted_files n` that looks at the repository `n` commits ago and returns a `#create_deprecated_module` for each file that existed then and does not exist now.
This is integrated with `Try these:` suggestions and is intended as a first step in making this process completely automatic.
Each regenerated file consists of just the imports of the last file that existed, before deletion, followed by `deprecated_import (since := "YYYY-MM-DD")`.
In particular, this also applies to *renames*, where it might be more natural to suggest the renamed file, rather than its imports. However, this is part of the deprecation logic that I consider best left to a possible future PR, since distinguishing renames from removals is a separate matter that even git does not handle completely satisfactorily.
---
[](https://gitpod.io/from-referrer/)
|
t-meta |
381/0 |
scripts/README.md,scripts/create_deprecated_modules.lean |
2 |
47 |
['YaelDillies', 'adomani', 'github-actions', 'grunweg', 'leanprover-community-bot-assistant'] |
grunweg assignee:grunweg |
1-60469 1 day ago |
1-60490 1 day ago |
23-730 23 days |
| 26544 |
vihdzp author:vihdzp |
feat(SetTheory/ZFC/Ordinal): Lean ordinals to ZFC ordinals |
We define `Ordinal.toZFSet` and prove that its outputs are precisely the ZFC ordinals. Moved from #19985.
---
[](https://gitpod.io/from-referrer/)
|
large-import
t-set-theory
|
151/4 |
Mathlib/SetTheory/ZFC/Basic.lean,Mathlib/SetTheory/ZFC/Ordinal.lean,Mathlib/SetTheory/ZFC/PSet.lean,Mathlib/SetTheory/ZFC/Rank.lean |
4 |
1 |
['github-actions'] |
nobody |
1-60455 1 day ago |
2-76124 2 days ago |
2-77506 2 days |
| 25841 |
mitchell-horner author:mitchell-horner |
feat(Combinatorics/SimpleGraph): prove the Kővári–Sós–Turán theorem |
Prove the Kővári–Sós–Turán theorem for simple graphs: the `(completeBipartiteGraph α β).Free` simple graphs for `card α ≤ card β` on the vertex type `V` have at most `(card β-1)^(1/(card α))*(card V)^(2-1/(card α))/2 + (card V)*(card α-1)/2` edges.
---
- [x] depends on: #19865
- [x] depends on: #20738
I'd like to make `aux` not private in the `KovariSosTuran` namespace to enable reuse of the double-counting here, but I don't know what to call it.
[](https://gitpod.io/from-referrer/)
---
*This PR continues the work from #20240.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/20240* |
t-combinatorics |
289/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Bipartite.lean,Mathlib/Combinatorics/SimpleGraph/Extremal/KovariSosTuran.lean |
3 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
awainverse assignee:awainverse |
1-55799 1 day ago |
19-78340 19 days ago |
19-78386 19 days |
| 25843 |
mitchell-horner author:mitchell-horner |
feat(Combinatorics/SimpleGraph): define `between` subgraphs |
The simple graph `G.between s t` is the subgraph of `G` containing edges that connect a vertex in the set `s` to a vertex in the set `t`.
---
[](https://gitpod.io/from-referrer/)
---
*This PR continues the work from #24948.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/24948* |
t-combinatorics |
95/0 |
Mathlib/Combinatorics/SimpleGraph/Bipartite.lean |
1 |
1 |
['github-actions'] |
nobody |
1-55768 1 day ago |
19-77942 19 days ago |
19-77927 19 days |
| 26597 |
sahanwijetunga author:sahanwijetunga |
Update Orthogonal.lean |
fixed documentation for orthogonal (regarding order of inputs to bilinear form)
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebra
label:t-algebra$ |
3/3 |
Mathlib/LinearAlgebra/BilinearForm/Orthogonal.lean |
1 |
1 |
['github-actions'] |
nobody |
1-55411 1 day ago |
1-55412 1 day ago |
1-55462 1 day |
| 24172 |
LessnessRandomness author:LessnessRandomness |
feat: specialize rational root theorem to usual rational numbers and integers |
Rational root theorem and integral root theorem - the special case for usual rational numbers and integers.
--- |
new-contributor
t-algebra
label:t-algebra$ |
123/0 |
Mathlib.lean,Mathlib/RingTheory/Polynomial/OfRationalNumbers/RationalRootTheorem.lean |
2 |
7 |
['Pazzaz', 'Ruben-VandeVelde', 'github-actions', 'grunweg', 'mariainesdff'] |
nobody |
1-50244 1 day ago |
75-69020 2 months ago |
75-69072 75 days |
| 26596 |
BoltonBailey author:BoltonBailey |
refactor(Probability/ProbabilityMassFunction): Make constructions use NNReal |
This refactor makes the functions for Bernoulli/Binomial random variables take an NNReal parameter, rather than an ENNReal. This is convenient, since we have to prove `p \le 1` anyway, and this can now be done with `field_simp` for explicit p.
---
[](https://gitpod.io/from-referrer/)
|
t-measure-probability |
24/18 |
Mathlib/Probability/ProbabilityMassFunction/Binomial.lean,Mathlib/Probability/ProbabilityMassFunction/Constructions.lean,Mathlib/Probability/ProbabilityMassFunction/Integrals.lean |
3 |
1 |
['github-actions', 'nomeata'] |
nobody |
1-45913 1 day ago |
1-55498 1 day ago |
1-55551 1 day |
| 25758 |
YaelDillies author:YaelDillies |
chore: shortcut instance `CompleteLattice α → PartialOrder α` |
This avoids using the path `CompleteLattice α → CompletePartialOrder α → PartialOrder α` that goes through `Order.CompletePartialOrder` and makes it appear used to our automation, such as `shake` or `#min_imports`.
This is a followup to #25358.
---
[](https://gitpod.io/from-referrer/)
|
t-order |
7/0 |
Mathlib/Order/CompleteLattice/Defs.lean |
1 |
6 |
['Ruben-VandeVelde', 'eric-wieser', 'github-actions', 'leanprover-bot'] |
nobody |
1-42906 1 day ago |
1-44931 1 day ago |
21-9117 21 days |
| 25715 |
kbuzzard author:kbuzzard |
feat: more RestrictedProduct API |
A constructor, more algebra boilerplate (e.g. `SMul ℕ` on a restricted product of `AddMonoid`s, restricted product of `CommMonoid`s is a `CommMonoid`, restricted product of `R`-modules wrt `R`-submodules is an `R`-module, variant of `map` when the index set doesn't change.
From the FLT project.
---
[](https://gitpod.io/from-referrer/)
|
FLT
t-topology
|
91/36 |
Mathlib/Topology/Algebra/RestrictedProduct/Basic.lean |
1 |
13 |
['ADedecker', 'github-actions', 'kbuzzard', 'matthewjasper'] |
nobody |
1-40159 1 day ago |
21-43017 21 days ago |
21-46818 21 days |
| 26603 |
vihdzp author:vihdzp |
refactor(SetTheory/Ordinal/FixedPoint): redefine `Ordinal.deriv` |
We previously defined the [ordinal derivative](https://en.wikipedia.org/wiki/Normal_function#Properties) of a function as the unique normal function satisfying `deriv f 0 = nfp f 0` and `deriv f (o + 1) = nfp f (deriv f o)` (where `nfp f a` is the next fixed point of `f` that's `≥ a`). The motivation here was to give a "nice" junk value on non-normal functions (the derivative is normal no matter what). However, in practice, this definition makes it unwieldy to prove things, by either requiring a tedious zero/successor/limit argument, or requiring one to rewrite `deriv f = enumOrd (fixedPoints f)`.
We can instead define `deriv f = enumOrd (fixedPoints f)`. At the cost of giving "worse" junk values (which we have no legitimate uses of), we're able to much more easily prove all the expected properties in the standard case where `f` is a normal function.
Finally, we do some drive-by API cleanup.
Moved from #21858.
---
The GitHub diff is a bit messy, I made my best to clean it up.
[](https://gitpod.io/from-referrer/)
|
t-set-theory |
172/197 |
Mathlib/SetTheory/Cardinal/Regular.lean,Mathlib/SetTheory/Ordinal/FixedPoint.lean,Mathlib/SetTheory/Ordinal/Veblen.lean |
3 |
1 |
['github-actions'] |
nobody |
1-37046 1 day ago |
1-37046 1 day ago |
1-37076 1 day |
| 26608 |
vihdzp author:vihdzp |
feat(SetTheory/Cardinal/Aleph): `o.card ≤ ℵ_ o` and variants |
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory |
25/0 |
Mathlib/SetTheory/Cardinal/Aleph.lean |
1 |
1 |
['github-actions'] |
nobody |
1-32426 1 day ago |
1-32484 1 day ago |
1-33232 1 day |
| 26392 |
winstonyin author:winstonyin |
feat: solution to ODE is Lipschitz with respect to the initial condition |
This PR continues the work from #20733.
Original PR: https://github.com/leanprover-community/mathlib4/pull/20733
I formalise a corollary to the Picard-Lindelöf theorem: the local solution to an ODE is Lipschitz continuous with respect to the initial condition. This in particular means that the local flow to the associated vector field is continuous.
- [x] depends on: #26382
---
[](https://gitpod.io/from-referrer/)
|
t-dynamics
t-analysis
|
127/1 |
Mathlib/Analysis/ODE/PicardLindelof.lean |
1 |
10 |
['AntoineChambert-Loir', 'github-actions', 'grunweg', 'mathlib4-dependent-issues-bot', 'winstonyin'] |
nobody |
1-31811 1 day ago |
2-77986 2 days ago |
2-79048 2 days |
| 26610 |
vihdzp author:vihdzp |
chore: fix minor docstring mistake LHS → RHS |
---
[](https://gitpod.io/from-referrer/)
|
t-order
easy
|
1/1 |
Mathlib/Order/IsNormal.lean |
1 |
1 |
['github-actions'] |
nobody |
1-31234 1 day ago |
1-31296 1 day ago |
1-31289 1 day |
| 26607 |
vihdzp author:vihdzp |
feat(SetTheory/Cardinal/Aleph): characterization of initial successor ordinals |
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory |
9/0 |
Mathlib/SetTheory/Cardinal/Aleph.lean |
1 |
2 |
['github-actions', 'vihdzp'] |
nobody |
1-30706 1 day ago |
1-33268 1 day ago |
1-33314 1 day |
| 26617 |
vihdzp author:vihdzp |
feat(Data/Sum/Order): `toLex` as a `RelIso` |
As [requested](https://github.com/leanprover-community/mathlib4/pull/20409#discussion_r1903319844) by @eric-wieser in #20409.
---
[](https://gitpod.io/from-referrer/)
|
t-data
t-order
|
26/0 |
Mathlib/Data/Sum/Order.lean |
1 |
1 |
['github-actions'] |
nobody |
1-26658 1 day ago |
1-26677 1 day ago |
1-26941 1 day |
| 26488 |
yuanyi-350 author:yuanyi-350 |
add some lemmas about `Nat.gcd` |
add some lemmas about `Nat.gcd`
$lcm(\frac{k}{m}, \frac{k}{n}) = k / \gcd(m, n)$
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
easy
label:t-algebra$ |
23/1 |
Mathlib/Data/Nat/GCD/Basic.lean |
1 |
6 |
['github-actions', 'vihdzp', 'wwylele'] |
nobody |
1-23984 1 day ago |
5-745 5 days ago |
5-945 5 days |
| 25961 |
artie2000 author:artie2000 |
feat(Aesop): Improve SetLike ruleset |
* Make some Aesop rules in the SetLike ruleset unsafe
* Register new rules with the Aesop SetLike ruleset, by analogy with existing ones
* Add new rules like `mem_closure_of_mem` by analogy with #26162 to improve performance in proving membership of closures. Before this PR, to prove something like `x ∈ s ⊢ x ∈ closure s`, Aesop would have to try the rule `mem_of_subset`, creating a metavariable that it would then try to fill with `subset_closure` . Obviously this was pretty inefficient, and the new lemma `mem_closure_of_mem` is a much more usable Aesop rule.
* Update some Aesop rules' probabilities
* Add new library note [SetLike Aesop ruleset] explaining the principles behind the new design
The design note stipulates that `safe`-phase Aesop rules are to also be `simp` rules; this change has been split into #26175
---
Original PR: https://github.com/leanprover-community/mathlib4/pull/20477
- [x] depends on: #26162
[](https://gitpod.io/from-referrer/) |
maintainer-merge
t-algebra
t-meta
label:t-algebra$ |
64/18 |
Mathlib/Algebra/Field/Subfield/Defs.lean,Mathlib/Algebra/Group/Subgroup/Defs.lean,Mathlib/Algebra/Group/Submonoid/Defs.lean,Mathlib/Algebra/Group/Subsemigroup/Defs.lean,Mathlib/Algebra/Polynomial/Module/AEval.lean,Mathlib/Algebra/Star/Basic.lean,Mathlib/Algebra/Star/SelfAdjoint.lean,Mathlib/Data/SetLike/Basic.lean,Mathlib/Geometry/Convex/Cone/Basic.lean,Mathlib/GroupTheory/GroupAction/SubMulAction.lean,Mathlib/LinearAlgebra/Span/Defs.lean,Mathlib/Order/BooleanSubalgebra.lean,Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean,Mathlib/Tactic/SetLike.lean,Mathlib/Topology/Algebra/StarSubalgebra.lean |
15 |
34 |
['YaelDillies', 'artie2000', 'github-actions', 'grunweg', 'leanprover-bot', 'leanprover-community-mathlib4-bot', 'linesthatinterlace', 'mathlib4-dependent-issues-bot'] |
nobody |
1-18207 1 day ago |
1-18207 1 day ago |
9-44274 9 days |
| 26021 |
vasnesterov author:vasnesterov |
feat(Data/Real): representation of reals from `[0, 1]` in positional system |
* Introduce `ofDigits {b : ℕ} (digits : ℕ → Fin b) : ℝ`, representing a real number of the form `0.d₀d₁d₂...` (where `dᵢ = digits i`) as an infinite sum.
* Prove that this sum converges to a number in the interval `[0, 1]`.
* Prove `ofDigits_close_of_common_prefix`: if the first `n` digits of two numbers are equal, then their difference is bounded by `b⁻ⁿ`.
* Introduce `toDigits`, which converts a real number into its sequence of digits.
* Prove that `ofDigits (toDigits x b) = x`.
[Zulip thread](https://leanprover.zulipchat.com/#narrow/stream/217875-Is-there-code-for-X.3F/topic/Base.20n.20expansion.20of.20real.20numbers.3F/near/502937293)
---
- [x] depends on: #26004
[](https://gitpod.io/from-referrer/)
|
t-data |
238/0 |
Mathlib.lean,Mathlib/Data/Real/OfDigits.lean,scripts/noshake.json |
3 |
11 |
['alreadydone', 'eric-wieser', 'github-actions', 'mathlib4-dependent-issues-bot', 'vasnesterov', 'wwylele'] |
nobody |
1-17355 1 day ago |
1-27718 1 day ago |
1-28277 1 day |
| 25754 |
robin-carlier author:robin-carlier |
feat(CategoryTheory/Monoidal/ExternalProduct): external product of pointwise left Kan extensions of functors |
Given a functor `H' : D' ⥤ V` to a monoidal category that is a pointwise left Kan along `L : D ⥤ D'`, we show that for a functor `K : E ⥤ V` and under suitable preservations of colimits by the tensor product of `V`, the functor `H' ⊠ K : D' × E ⥤ V` is a pointwise left Kan extension along `L.prod (𝟭 E)`. We show a similar statement for the functor `K ⊠ H'`.
This property is crucial for proving properties of Day convolutions of functors from a monoidal category to `V`.
---
- [x] depends on: #25731
[](https://gitpod.io/from-referrer/)
---
*This PR continues the work from #24989.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/24989* |
t-category-theory |
242/93 |
Mathlib.lean,Mathlib/CategoryTheory/Monoidal/DayConvolution.lean,Mathlib/CategoryTheory/Monoidal/ExternalProduct.lean,Mathlib/CategoryTheory/Monoidal/ExternalProduct/Basic.lean,Mathlib/CategoryTheory/Monoidal/ExternalProduct/KanExtension.lean |
5 |
7 |
['github-actions', 'joelriou', 'mathlib4-dependent-issues-bot', 'robin-carlier'] |
nobody |
1-7507 1 day ago |
1-64314 1 day ago |
14-18170 14 days |
| 26556 |
fweth author:fweth |
feat(CategoryTheory/Topos): subobject classifier without limits |
Adds an alternative API for constructing a subobject classifier without reference to limits.
This PR modifies two files:
- `Mathlib/CategoryTheory/Limits/Shapes/Pullback/CommSq.lean`:
Adds strengthened versions of two existing theorems:
- `of_horiz_isIso_mono` (alongside the existing `of_horiz_isIso`)
- `of_vert_isIso_mono` (alongside the existing `of_vert_isIso`)
- `Mathlib/CategoryTheory/Topos/Classifier.lean`:
Addresses the TODO (removed from the file):
> Make API for constructing a subobject classifier without reference to limits (replacing `⊤_ C` with an arbitrary `Ω₀ : C` and including the assumption `mono truth`)
This implementation accepts a monomorphism `truth : Ω₀ ⟶ Ω` such that for every monomorphism `m : U ⟶ X` there exists a pair `χ₀ : U ⟶ Ω₀` and `χ : X ⟶ Ω` which creates a pullback square and `χ` must be unique in that it admits such a pair. Given these assumptions, we construct an instance of the existing `Classifier` structure, alongside with a proof that `Ω₀` is terminal.
Klaus Gy
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-category-theory
|
88/8 |
Mathlib/CategoryTheory/Limits/Shapes/Pullback/CommSq.lean,Mathlib/CategoryTheory/Topos/Classifier.lean |
2 |
1 |
['github-actions'] |
nobody |
1-1844 1 day ago |
1-2391 1 day ago |
2-53734 2 days |
| 26527 |
jsm28 author:jsm28 |
feat(LinearAlgebra/AffineSpace/Independent): `faceOpposite` point in 1-simplex |
Add a lemma about the point of `faceOpposite` applied to a 1-simplex.
```lean
lemma faceOpposite_point_eq_point_rev (s : Simplex k P 1) (i : Fin 2) (n : Fin 1) :
(s.faceOpposite i).points n = s.points i.rev := by
```
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
easy
label:t-algebra$ |
19/0 |
Mathlib/LinearAlgebra/AffineSpace/Independent.lean |
1 |
14 |
['eric-wieser', 'github-actions', 'jsm28'] |
nobody |
0-75468 20 hours ago |
3-46884 3 days ago |
3-46868 3 days |
| 26484 |
peabrainiac author:peabrainiac |
feat(Geometry/Diffeology): basics of diffeological spaces |
Introduces diffeological spaces, smooth maps between them, the D-topology and the standard diffeology on finite-dimensional normed spaces.
---
This PR continues the work from #21969. |
t-differential-geometry |
473/0 |
Mathlib.lean,Mathlib/Geometry/Diffeology/Basic.lean,docs/references.bib,scripts/noshake.json |
4 |
8 |
['JovanGerb', 'github-actions', 'lecopivo', 'peabrainiac'] |
nobody |
0-70978 19 hours ago |
5-30034 5 days ago |
5-34787 5 days |
| 25587 |
YaelDillies author:YaelDillies |
refactor: make `Rel` less see-through |
There is tension throughout the library between considering relations between `α` and `β` simply as `α → β → Prop`, or as a bundled object `Rel α β` with dedicated operations and API.
The former approach is used almost everywhere as it is very lightweight and has arguably native support from core Lean features, but it cracks at the seams whenever one starts talking about operations on relations. For example:
* composition of relations `R : α → β → Prop`, `S : β → γ → Prop` is the unwieldy `Relation.Comp R S := fun a c ↦ ∃ b, R a b ∧ S b c`
* map of a relation `R : α → β → Prop`, under `f : α → γ`, `g : β → δ` is the monstruous `Relation.map R f g := fun c d ↦ ∃ a b, r a b ∧ f a = c ∧ g b = d`.
The latter approach is embodied by the existing type `Rel α β`, with dedicated notation like `○` for composition. It makes it much easier to reason about operations relations, but currently its API suffers from the leakage of its definition as
```
def Rel (α β : Type*) := α → β → Prop
```
The fact that `Rel` isn't an `abbrev` confuses automation. But simply making it an `abbrev` would kill the point of having a separate less see-through type to perform relation operations on.
A final point, and the original motivation for this refactor, is that uniform spaces need a theory of relations on a type `α` as elements of `Set (α × α)`. This cannot be worked around, since `Set (α × α)` is the type of elements of a filter on `α × α`. This theory is already developed in `Topology.UniformSpace.Defs`, and duplicates the existing `Rel` material.
This PR is a proposal to refactor `Rel` to be less see-through by redefining it as
```
abbrev Rel (α β : Type*) := Set (α × β)
```
This has several advantages:
* The use of `α × β` means that one can't abuse the defeq of `Rel α β` with the function type `α → β → Prop`.
* Instead, we get to provide an explicit notation `a ~[R] b` that very closely follows the paper convention `a ~R b` of using relations as infixes. This notation is scoped to the `Rel` namespace.
* The use of `Set` is an extra layer of indirection to avoid automation confusing `Rel α β` with `α × β → Prop`.
* It can directly be used in the theory of uniform spaces because of the syntactic equality between `Rel α α` and `Set (α × α)`.
* A relation can still be defined from an explicit function `α → β → Prop`, with nice notation: What was previously `fun a b ↦ R a b` becomes `{(a, b) | R a b}`.
* In general, fallout is manageably small and easily fixed by inserting the `{(a, b) | R a b}` and `a ~[R] b` notations.
The benefits can be seen in places like `CategoryTheory.Category.RelCat` where automation is significantly improved, or `Combinatorics.Hall.Basic` where defeq abuse is avoided and dot notation becomes available.
---
- [x] depends on: #25593
I will add deprecations once CI passes and people agree this is a step forward.
[](https://gitpod.io/from-referrer/)
|
t-data
RFC
|
372/444 |
Mathlib/CategoryTheory/Category/RelCat.lean,Mathlib/Combinatorics/Hall/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean,Mathlib/Combinatorics/SimpleGraph/Subgraph.lean,Mathlib/Data/PFun.lean,Mathlib/Data/Rel.lean,Mathlib/Order/Filter/Partial.lean,Mathlib/Order/JordanHolder.lean,Mathlib/Order/KrullDimension.lean,Mathlib/Order/Rel/GaloisConnection.lean,Mathlib/Order/RelSeries.lean,Mathlib/RingTheory/Ideal/AssociatedPrime/Finiteness.lean,Mathlib/RingTheory/Length.lean,Mathlib/RingTheory/Spectrum/Prime/LTSeries.lean |
15 |
5 |
['YaelDillies', 'eric-wieser', 'github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
0-65891 18 hours ago |
17-84826 17 days ago |
18-8553 18 days |
| 25920 |
BoltonBailey author:BoltonBailey |
feat(Data/Finsupp/Basic): `Finsupp.optionElim'` |
Similar to how Finsupp.cons constructs a map Fin (n + 1) →₀ M from a map Fin n →₀ M,
we define Finsupp.optionElim' to construct a map Option α →₀ M from a map α →₀ M, given an additional value for none. We base this on the new optionEquiv definition. As a function, it behaves as Option.elim', hence the name.
We prove a variety of API lemmas, based on those for Finsupp.cons, to bring the definitions more in line with the contents of Data/Finsupp/Fin.
We also refactor to a new file to help avoid a too-long file and make this more analogous to Finsupp.cons
Original PR: https://github.com/leanprover-community/mathlib4/pull/13861
- [x] depends on: #26309 |
migrated-from-branch
t-data
|
125/26 |
Mathlib/Algebra/Category/MonCat/Adjunctions.lean,Mathlib/Data/Finsupp/Option.lean |
2 |
12 |
['BoltonBailey', 'eric-wieser', 'github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
0-62885 17 hours ago |
6-31406 6 days ago |
8-55392 8 days |
| 26272 |
ajirving author:ajirving |
feat(NumberTheory/LucasLehmer): prove converse direction to Lucas-Lehmer |
Proves the converse direction of the Lucas-Lehmer test, namely that the Lucas-Lehmer criterion is a necessary condition for a Mersenne prime.
Adds a couple of examples of proving Mersenne numbers are composite using this.
Proves that if `2^p-1` is prime then `p` is prime.
---
* I wasn't sure how many examples to add given that there are many more Mersenne composites than primes.
* There are a number of annoying coercions between different rings, any simplifications will be appreciated.
[](https://gitpod.io/from-referrer/)
|
large-import
new-contributor
t-number-theory
|
226/5 |
Archive/Examples/MersennePrimes.lean,Mathlib/NumberTheory/LucasLehmer.lean |
2 |
12 |
['github-actions', 'kckennylau'] |
nobody |
0-61186 16 hours ago |
10-71571 10 days ago |
10-71618 10 days |
| 25989 |
Multramate author:Multramate |
feat(NumberTheory/EllipticDivisibilitySequence): add elliptic nets |
This PR continues the work from #25030.
Original PR: https://github.com/leanprover-community/mathlib4/pull/25030 |
t-number-theory |
259/37 |
Mathlib/NumberTheory/EllipticDivisibilitySequence.lean |
1 |
3 |
['MichaelStollBayreuth', 'Multramate', 'github-actions'] |
nobody |
0-60329 16 hours ago |
16-46959 16 days ago |
16-47006 16 days |
| 26072 |
xroblot author:xroblot |
feat(NumberField): Image of torsion modulo an ideal |
Let `I` be an integral ideal of a number field `K`. We define the morphism from the torsion of `K` to `(𝓞 K ⧸ I)ˣ` and prove that it is injective if the norm of `I` is coprime with the order of the torsion of `K`.
As a consequence, we prove that for a prime ideal `P` coprime with the order of the torsion of `K`, the norm of `P` is congruent to `1` modulo `torsionOrder K`.
|
t-number-theory |
202/1 |
Mathlib.lean,Mathlib/NumberTheory/Cyclotomic/Basic.lean,Mathlib/NumberTheory/Cyclotomic/Rat.lean,Mathlib/NumberTheory/NumberField/Ideal/Basic.lean,Mathlib/RingTheory/RootsOfUnity/PrimitiveRoots.lean |
5 |
9 |
['MichaelStollBayreuth', 'github-actions', 'xroblot'] |
nobody |
0-58089 16 hours ago |
15-4413 15 days ago |
15-10406 15 days |
| 26638 |
metakunt author:metakunt |
chore: Add grind to cast_zero |
Add grind to cast_zero |
t-data
new-contributor
|
1/1 |
Mathlib/Data/Nat/Cast/Defs.lean |
1 |
1 |
['github-actions'] |
nobody |
0-57778 16 hours ago |
0-57778 16 hours ago |
0-59382 16 hours |
| 26158 |
upobir author:upobir |
feat(NumberTheory/Divisors): add int divisors |
This PR continues the work from #25209.
Original PR: https://github.com/leanprover-community/mathlib4/pull/25209 |
t-number-theory |
125/4 |
Mathlib/NumberTheory/Divisors.lean |
1 |
5 |
['MichaelStollBayreuth', 'github-actions', 'upobir'] |
nobody |
0-56505 15 hours ago |
13-76855 13 days ago |
13-76899 13 days |
| 25917 |
BoltonBailey author:BoltonBailey |
docs: Add documentation to miscellaneous files |
This PR addresses a number of documentation linter instances.
Original PR: https://github.com/leanprover-community/mathlib4/pull/23964 |
migrated-from-branch
documentation
|
52/14 |
Mathlib/Algebra/Homology/Homotopy.lean,Mathlib/Analysis/BoxIntegral/Partition/Filter.lean,Mathlib/Control/Monad/Cont.lean,Mathlib/Data/Stream/Defs.lean,Mathlib/LinearAlgebra/AffineSpace/AffineMap.lean |
5 |
2 |
['BoltonBailey', 'github-actions'] |
nobody |
0-54979 15 hours ago |
15-60771 15 days ago |
17-70799 17 days |
| 24719 |
madvorak author:madvorak |
feat(LinearAlgebra/Matrix/NonsingularInverse): inverting `Matrix` inverts its `LinearEquiv` |
---
Discussion:
https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/.2324719.20cannot.20find.20home/with/517142655
|
t-algebra label:t-algebra$ |
10/0 |
Mathlib/LinearAlgebra/Matrix/NonsingularInverse.lean |
1 |
14 |
['eric-wieser', 'github-actions', 'madvorak'] |
nobody |
0-54325 15 hours ago |
52-79843 1 month ago |
54-29670 54 days |
| 26350 |
mans0954 author:mans0954 |
feature(RingTheory/RootsOfUnity/Basic) : rootsOfUnity coercions |
This PR continues the work from #25215.
Original PR: https://github.com/leanprover-community/mathlib4/pull/25215 |
t-algebra label:t-algebra$ |
22/0 |
Mathlib/RingTheory/RootsOfUnity/Basic.lean |
1 |
2 |
['github-actions', 'mans0954'] |
nobody |
0-52668 14 hours ago |
9-13173 9 days ago |
9-13216 9 days |
| 26347 |
mans0954 author:mans0954 |
feature(Data/Finset/RangeDistance): abs_sub_lt_of_mem_finset_range |
This PR continues the work from #23161.
Original PR: https://github.com/leanprover-community/mathlib4/pull/23161 |
|
30/0 |
Mathlib.lean,Mathlib/Algebra/Order/Group/Unbundled/Abs.lean,Mathlib/Data/Finset/RangeDistance.lean |
3 |
2 |
['github-actions', 'mans0954'] |
nobody |
0-52562 14 hours ago |
9-13599 9 days ago |
9-13582 9 days |
| 26606 |
vihdzp author:vihdzp |
refactor(SetTheory/Cardinal/Regular): review `IsInaccessible` API |
This PR does the following:
- Make the definition of `IsInaccessible` the more lightweight version.
- Turn the old definition into a lemma `isInaccessible_def`.
- Use dot notation wherever possible.
- Add two extra convenience lemmas.
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory |
32/8 |
Mathlib/SetTheory/Cardinal/Regular.lean |
1 |
3 |
['b-mehta', 'github-actions', 'vihdzp'] |
nobody |
0-52484 14 hours ago |
1-36059 1 day ago |
1-36104 1 day |
| 26639 |
euprunin author:euprunin |
chore: golf Analysis/ using `grind` |
|
t-analysis |
16/63 |
Mathlib/Analysis/Analytic/Composition.lean,Mathlib/Analysis/Analytic/IteratedFDeriv.lean,Mathlib/Analysis/Convex/BetweenList.lean,Mathlib/Analysis/Convex/Combination.lean,Mathlib/Analysis/InnerProductSpace/Basic.lean,Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Analysis/LocallyConvex/WithSeminorms.lean,Mathlib/Analysis/MeanInequalitiesPow.lean,Mathlib/Analysis/ODE/PicardLindelof.lean,Mathlib/Analysis/SpecialFunctions/Complex/Log.lean,Mathlib/Analysis/SpecialFunctions/Pow/Complex.lean,Mathlib/Analysis/SpecificLimits/Normed.lean |
12 |
5 |
['github-actions', 'grunweg', 'leanprover-bot', 'leanprover-community-mathlib4-bot'] |
nobody |
0-51978 14 hours ago |
0-51978 14 hours ago |
0-56577 15 hours |
| 26538 |
mariainesdff author:mariainesdff |
feat(RingTheory/Valuation/Extension): add algebra instances |
Provide algebra instances for valuation subrings and residue fields.
Co-authored-by: @faenuccio
---
[](https://gitpod.io/from-referrer/)
|
large-import
t-algebra
label:t-algebra$ |
54/4 |
Mathlib/RingTheory/Valuation/Extension.lean |
1 |
11 |
['github-actions', 'mariainesdff', 'pechersky'] |
nobody |
0-48998 13 hours ago |
3-3953 3 days ago |
3-4000 3 days |
| 9915 |
eric-wieser author:eric-wieser |
refactor: Add norm_num machinery for NNRat |
This splits the previous `isRat` primitive into `isNNRat` and `isNegNNRat`, where only the latter carries around a `DivisionRing` instance.
This means that `norm_num` works on `NNReal` and `NNRat`.
---
- [x] depends on: #9951
[](https://gitpod.io/from-referrer/)
|
t-algebra
t-meta
label:t-algebra$ |
732/211 |
Mathlib/Analysis/SpecialFunctions/Log/Basic.lean,Mathlib/Analysis/SpecialFunctions/Pow/Real.lean,Mathlib/Data/Rat/Floor.lean,Mathlib/Tactic/NormNum/Basic.lean,Mathlib/Tactic/NormNum/BigOperators.lean,Mathlib/Tactic/NormNum/Eq.lean,Mathlib/Tactic/NormNum/Ineq.lean,Mathlib/Tactic/NormNum/Inv.lean,Mathlib/Tactic/NormNum/OfScientific.lean,Mathlib/Tactic/NormNum/Pow.lean,Mathlib/Tactic/NormNum/RealSqrt.lean,Mathlib/Tactic/NormNum/Result.lean,Mathlib/Tactic/Positivity/Core.lean,Mathlib/Tactic/Ring/Basic.lean,Mathlib/Tactic/Ring/RingNF.lean,MathlibTest/norm_num.lean,MathlibTest/ring.lean |
17 |
7 |
['eric-wieser', 'github-actions', 'leanprover-bot', 'leanprover-community-mathlib4-bot', 'plp127'] |
nobody |
0-44979 12 hours ago |
5-63727 5 days ago |
5-63718 5 days |
| 26563 |
winstonyin author:winstonyin |
chore: rename `IsIntegralCurve` to `IsMIntegralCurve` |
I rename all the existing `IsIntegralCurve` series of definitions and lemmas for manifolds to `IsMIntegralCurve` in preparation for reusing `IsIntegralCurve` for the vector space version.
- [ ] depends on: #26533
---
[](https://gitpod.io/from-referrer/)
|
t-differential-geometry |
320/165 |
Mathlib/Geometry/Manifold/IntegralCurve/Basic.lean,Mathlib/Geometry/Manifold/IntegralCurve/ExistUnique.lean,Mathlib/Geometry/Manifold/IntegralCurve/Transform.lean,Mathlib/Geometry/Manifold/IntegralCurve/UniformTime.lean,docs/overview.yaml |
5 |
8 |
['github-actions', 'grunweg', 'mathlib4-dependent-issues-bot', 'winstonyin'] |
grunweg assignee:grunweg |
0-44804 12 hours ago |
0-44983 12 hours ago |
0-84406 23 hours |
| 26614 |
Rida-Hamadani author:Rida-Hamadani |
feat(SimpleGraph): add more API for `take`/`drop` |
These came up while proving the Girth-Diameter inequality. The main lemma proves that taking `n` vertices of a walk results in a sub-walk of taking `k` vertices when `n` is less than or equal to `k`. The sub-walk relation is represented as `p.support.Sublist q.support` where `p` and `q` are walks.
---
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
74/4 |
Mathlib/Combinatorics/SimpleGraph/Walk.lean |
1 |
10 |
['Rida-Hamadani', 'b-mehta', 'github-actions'] |
nobody |
0-42876 11 hours ago |
1-29017 1 day ago |
1-29065 1 day |
| 23986 |
ShouxinZhang author:ShouxinZhang |
feat(FieldTheory/RatFunc): add RatFunc.toFractionRingAlgEquiv |
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebra
label:t-algebra$ |
13/0 |
Mathlib/FieldTheory/RatFunc/Basic.lean |
1 |
32 |
['ShouxinZhang', 'eric-wieser', 'github-actions', 'joneugster', 'kckennylau', 'plp127'] |
nobody |
0-38486 10 hours ago |
2-51342 2 days ago |
81-27881 81 days |
| 26313 |
kckennylau author:kckennylau |
feat: 4 lemmas about Finsupp.mapDomain.linearEquiv |
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
9/0 |
Mathlib/LinearAlgebra/Finsupp/Defs.lean |
1 |
5 |
['eric-wieser', 'github-actions', 'kckennylau'] |
nobody |
0-37154 10 hours ago |
9-68637 9 days ago |
9-68689 9 days |
| 26314 |
kckennylau author:kckennylau |
feat: Finsupp.supportedEquivFinsupp_symm_single |
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
15/1 |
Mathlib/Data/Finsupp/Basic.lean,Mathlib/LinearAlgebra/Finsupp/Supported.lean |
2 |
8 |
['eric-wieser', 'github-actions', 'kckennylau'] |
nobody |
0-37147 10 hours ago |
3-73395 3 days ago |
5-47940 5 days |
| 26644 |
kckennylau author:kckennylau |
feat(SetTheory/ZFC): Define the language of sets and state the ZFC axioms |
---
[](https://gitpod.io/from-referrer/)
|
t-set-theory |
334/0 |
Mathlib.lean,Mathlib/SetTheory/ZFC/Axioms.lean,docs/references.bib |
3 |
1 |
['github-actions'] |
nobody |
0-36439 10 hours ago |
0-42939 11 hours ago |
0-42988 11 hours |
| 26646 |
eric-wieser author:eric-wieser |
feat(TensorProduct): add a Repr |
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
t-meta
label:t-algebra$ |
8/0 |
Mathlib/LinearAlgebra/TensorProduct/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
0-35193 9 hours ago |
0-35193 9 hours ago |
0-35246 9 hours |
| 26647 |
b-mehta author:b-mehta |
feat(Data/Sym/Sym2): lift commutative operations to sym2 |
While we have `Sym2.lift`, it's often useful to lift operations which are known to be commutative to the typeclass system. Indeed, the existing `Sym2.mul` witnesses this already. Thus, this PR can also be seen as generalising `Sym2.mul`.
---
[](https://gitpod.io/from-referrer/)
|
t-data |
27/10 |
Mathlib/Data/Sym/Sym2.lean,Mathlib/Data/Sym/Sym2/Finsupp.lean,Mathlib/LinearAlgebra/QuadraticForm/Basic.lean,Mathlib/LinearAlgebra/QuadraticForm/Basis.lean |
4 |
11 |
['b-mehta', 'eric-wieser', 'github-actions'] |
nobody |
0-33382 9 hours ago |
0-34896 9 hours ago |
0-34949 9 hours |
| 26370 |
b-mehta author:b-mehta |
chore(Archive): golf and generalise ascending-descending sequences |
This proof was 5 years old, not in a good generality, and overly long. We fix the latter two points.
---
[](https://gitpod.io/from-referrer/)
|
t-data |
96/120 |
Archive/Wiedijk100Theorems/AscendingDescendingSequences.lean |
1 |
12 |
['b-mehta', 'github-actions', 'grunweg'] |
nobody |
0-32004 8 hours ago |
7-3549 7 days ago |
8-58488 8 days |
| 26648 |
eric-wieser author:eric-wieser |
chore(TensorProduct): remove more `suppress_compilation`s |
---
[](https://gitpod.io/from-referrer/)
|
tech debt
t-algebra
label:t-algebra$ |
3/7 |
Mathlib/LinearAlgebra/CliffordAlgebra/Prod.lean,Mathlib/LinearAlgebra/TensorProduct/Graded/External.lean,Mathlib/LinearAlgebra/TensorProduct/Graded/Internal.lean |
3 |
4 |
['eric-wieser', 'github-actions', 'leanprover-bot'] |
nobody |
0-31973 8 hours ago |
0-33875 9 hours ago |
0-34542 9 hours |
| 26302 |
kebekus author:kebekus |
feat: introduce the Laplace operator |
This PR continues the work from #25441.
Original PR: https://github.com/leanprover-community/mathlib4/pull/25441 |
t-analysis |
333/0 |
Mathlib.lean,Mathlib/Analysis/Calculus/ContDiff/Basic.lean,Mathlib/Analysis/Calculus/ContDiff/FTaylorSeries.lean,Mathlib/Analysis/InnerProductSpace/Laplace.lean |
4 |
37 |
['github-actions', 'grunweg', 'kebekus', 'sgouezel'] |
nobody |
0-29967 8 hours ago |
6-13804 6 days ago |
7-74443 7 days |
| 25907 |
mans0954 author:mans0954 |
Low order roots of unity |
This PR continues the work from #25470.
Original PR: https://github.com/leanprover-community/mathlib4/pull/25470 |
t-algebra label:t-algebra$ |
182/0 |
Mathlib/Algebra/CharP/Invertible.lean,Mathlib/RingTheory/RootsOfUnity/Complex.lean |
2 |
2 |
['github-actions', 'mans0954'] |
nobody |
0-24100 6 hours ago |
17-82640 17 days ago |
17-82690 17 days |
| 25905 |
mans0954 author:mans0954 |
feat(RingTheory/Polynomial/SmallDegreeVieta): polynomial versions of results in Algebra.QuadraticDiscriminant |
This PR continues the work from #25605.
Original PR: https://github.com/leanprover-community/mathlib4/pull/25605 |
t-algebra label:t-algebra$ |
73/8 |
Mathlib/RingTheory/Polynomial/SmallDegreeVieta.lean |
1 |
31 |
['github-actions', 'kckennylau', 'mans0954'] |
nobody |
0-23980 6 hours ago |
17-83093 17 days ago |
17-83137 17 days |
| 23835 |
chrisflav author:chrisflav |
feat(Topology): cardinality of connected components is bounded by cardinality of fiber |
---
- [ ] depends on: #23849
[](https://gitpod.io/from-referrer/)
|
large-import
t-topology
|
302/1 |
Mathlib.lean,Mathlib/Algebra/BigOperators/Finprod.lean,Mathlib/Data/Set/Card/Arithmetic.lean,Mathlib/Data/Set/Finite/Lattice.lean,Mathlib/Data/Set/Lattice.lean,Mathlib/SetTheory/Cardinal/Finite.lean,Mathlib/Topology/Clopen.lean,Mathlib/Topology/Connected/CardComponents.lean,Mathlib/Topology/Connected/Clopen.lean |
9 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
0-19683 5 hours ago |
0-19685 5 hours ago |
0-20164 5 hours |
| 22741 |
joelriou author:joelriou |
feat(CategoryTheory/Abelian/SerreClass): left Bousfield localizations |
If `G : D ⥤ C` is an exact functor between abelian categories, with a fully faithful right adjoint `F`, then `G` identifies `C` to the localization of `D` with respect to the class of morphisms `G.kernel.isoModSerre`, i.e. `D` is the localization of `C` with respect to Serre class `G.kernel` consisting of the objects in `D` that are sent to a zero object by `G`. (We also translate this in terms of a left Bousfield localization.)
---
- [x] depends on: #26033
[](https://gitpod.io/from-referrer/)
|
t-category-theory |
263/0 |
Mathlib.lean,Mathlib/CategoryTheory/Abelian/SerreClass/Bousfield.lean,Mathlib/CategoryTheory/Abelian/SerreClass/MorphismProperty.lean,Mathlib/CategoryTheory/Limits/Shapes/Equalizers.lean,Mathlib/CategoryTheory/Limits/Shapes/Kernels.lean,Mathlib/CategoryTheory/ObjectProperty/ContainsZero.lean |
6 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
0-19658 5 hours ago |
0-19660 5 hours ago |
0-20886 5 hours |
| 25491 |
tannerduve author:tannerduve |
feat(Control/Monad/Free): define free monad, prove it lawful, and implement standard effects |
This PR introduces the `Free` monad. This implementation uses the "freer monad" approach as the traditional free monad (eg from [Haskell](https://hackage.haskell.org/package/free-5.2/docs/Control-Monad-Free.html)) is not safely definable in Lean due to termination checking (it's not strictly positive).
The main contributions are:
* Definition of the `Free` monad as an inductive type which generates a monad given any type constructor `F : Type -> Type`.
* Functor and Monad instances for `Free F`, along with proofs of the `LawfulFunctor` and `LawfulMonad` laws.
* Canonical instances of `Free` with standard effect signatures:
* `FreeState s` for stateful computations, defined via a `StateF s` functor with `get` and `put` operations.
* `FreeWriter w` for logging computations, defined via a `WriterF w` functor with a `tell` operation.
* `FreeCont r` for continuation-passing computations, using the CPS functor `(α → r) → r`.
In this construction, computations are represented as **trees of effects**. Each node (`liftBind`)
represents a request to perform an effect, accompanied by a continuation specifying how the
computation proceeds after the effect. The leaves (`pure`) represent completed computations with
final results.
A key insight is that `FreeM F` satisfies the **universal property of free monads**: for any monad
`M` and effect handler `f : F → M`, there exists a unique way to interpret `FreeM F` computations
in `M` that respects the effect semantics given by `f`. This unique interpreter is `mapM f`, which
acts as the canonical **fold** for free monads.
To execute or interpret these computations, we provide two approaches:
1. **Hand-written interpreters** (`FreeState.run`, `FreeWriter.run`, `FreeCont.run`) that directly
pattern-match on the tree structure
2. **Canonical interpreters** (`FreeState.fold`, `FreeWriter.fold`, `FreeCont.fold`) derived from
the universal property via `mapM`
And then prove that these approaches are equivalent
---
This PR adds new files and definitions; no breaking changes.
**Tags:** free monad, freer monad, effect systems, state monad, writer monad, continuation monad, operational semantics, verified interpreters
|
t-data
maintainer-merge
|
717/0 |
Mathlib.lean,Mathlib/Control/Monad/Free.lean,MathlibTest/freemonad.lean,docs/references.bib |
4 |
145 |
['YaelDillies', 'copilot-pull-request-reviewer', 'eric-wieser', 'github-actions', 'plp127', 'quangvdao', 'tannerduve'] |
nobody |
0-15952 4 hours ago |
15-72983 15 days ago |
26-5666 26 days |
| 26148 |
Hagb author:Hagb |
feat(RingTheory/Ideal/Span): some lemmas about zero and span |
`simp` would be able to solve them.
Notice that `span_singleton_zero : span {(0 : R)} = ⊥` itself can be solved by `simp` without this commit, which uses `span_singleton_eq_bot : span ({x} : Set α) = ⊥ ↔ x = 0`, while `simp` cannot solve goals like `f (Ideal.span {(0 : R)}) = f ⊥`, which would be solvable by `simp` with `span_singleton_zero` marked with `@[simp]`.
Without adding also `Ideal.dvd_bot`, these lemmas on `Span.lean` would make the following failed, since `simp` would rewrite `{0}` with `⊥` and result in a goal `v.asIdeal ∣ ⊥` that it can't solve.
https://github.com/leanprover-community/mathlib4/blob/3f2556372f27171259a381d4d57db71440700cd8/Mathlib/RingTheory/DedekindDomain/AdicValuation.lean#L123
---
This PR continues the work from #24448.
Original PR: #24448.
CC: @tb65536
[](https://gitpod.io/from-referrer/)
|
migrated-from-branch
t-algebra
label:t-algebra$ |
11/0 |
Mathlib/RingTheory/Ideal/Operations.lean,Mathlib/RingTheory/Ideal/Span.lean |
2 |
1 |
['github-actions'] |
nobody |
0-15620 4 hours ago |
0-15620 4 hours ago |
14-1139 14 days |
| 26403 |
riccardobrasca author:riccardobrasca |
feat: add `isPrincipalIdealRing_of_isPrincipal_of_lt_or_isPrincipal_of_mem_primesOver_of_mem_Icc` |
This PR continues the work from #25186.
Original PR: https://github.com/leanprover-community/mathlib4/pull/25186 |
t-number-theory |
48/12 |
Mathlib/NumberTheory/NumberField/ClassNumber.lean |
1 |
2 |
['github-actions', 'riccardobrasca'] |
nobody |
0-11058 3 hours ago |
7-75875 7 days ago |
7-75909 7 days |
| 25882 |
101damnations author:101damnations |
feat(RepresentationTheory/Homological/GroupHomology/LowDegree): API for(one/two)(Cycles/Boundaries) |
This PR is more API for low degree group homology, adding (one/two)(Cycles/Boundaries), following the structure of `RepresentationTheory.Homological.GroupCohomology.LowDegree`.
---
- [x] depends on: #21652
- [x] depends on: #21732
- [x] depends on: #21733
- [x] depends on: #21735
- [x] depends on: #21736
- [x] depends on: #21738
- [x] depends on: #25868
- [x] depends on: #25873
[](https://gitpod.io/from-referrer/)
---
*This PR continues the work from #21755.*
*Original PR: https://github.com/leanprover-community/mathlib4/pull/21755* |
large-import
t-algebra
label:t-algebra$ |
163/0 |
Mathlib/RepresentationTheory/Homological/GroupHomology/LowDegree.lean |
1 |
n/a |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
0-10553 2 hours ago |
unknown |
unknown |
| 26006 |
CBirkbeck author:CBirkbeck |
Add the Mittag-Leffler expansion for cotangent |
This PR continues the work from #25448.
Original PR: https://github.com/leanprover-community/mathlib4/pull/25448 |
large-import |
187/3 |
Mathlib/Analysis/Complex/IntegerCompl.lean,Mathlib/Analysis/Complex/LocallyUniformLimit.lean,Mathlib/Analysis/SpecialFunctions/Log/Summable.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Cotangent.lean |
4 |
18 |
['github-actions', 'riccardobrasca'] |
nobody |
0-10496 2 hours ago |
3-59207 3 days ago |
16-7172 16 days |
| 26106 |
mbkybky author:mbkybky |
feat(RingTheory/Regular): flat base change of weakly regular sequence |
Show that [RingTheory.Sequence.IsWeaklyRegular](https://leanprover-community.github.io/mathlib4_docs/Mathlib/RingTheory/Regular/RegularSequence.html#RingTheory.Sequence.IsWeaklyRegular) is stable under flat base change and [RingTheory.Sequence.IsRegular](https://leanprover-community.github.io/mathlib4_docs/Mathlib/RingTheory/Regular/RegularSequence.html#RingTheory.Sequence.IsRegular) is stable under faithfully flat base change.
- [x] depends on: #26297
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
151/6 |
Mathlib.lean,Mathlib/RingTheory/Flat/Basic.lean,Mathlib/RingTheory/Flat/FaithfullyFlat/Basic.lean,Mathlib/RingTheory/Regular/Flat.lean |
4 |
2 |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
0-10325 2 hours ago |
1-5488 1 day ago |
1-5575 1 day |
| 26640 |
euprunin author:euprunin |
chore: golf Data/ using `grind` |
|
t-data |
19/127 |
Mathlib/Data/EReal/Operations.lean,Mathlib/Data/List/Basic.lean,Mathlib/Data/List/Cycle.lean,Mathlib/Data/List/Indexes.lean,Mathlib/Data/List/Induction.lean,Mathlib/Data/List/Nodup.lean,Mathlib/Data/List/Permutation.lean,Mathlib/Data/List/Sigma.lean,Mathlib/Data/PEquiv.lean,Mathlib/Data/PNat/Xgcd.lean,Mathlib/Data/Prod/Lex.lean,Mathlib/Data/Seq/Parallel.lean,Mathlib/Data/Seq/Seq.lean,Mathlib/Data/Set/Lattice.lean |
14 |
7 |
['github-actions', 'grunweg', 'leanprover-bot'] |
nobody |
0-8370 2 hours ago |
0-8553 2 hours ago |
0-54228 15 hours |
| 26654 |
euprunin author:euprunin |
chore: golf using `exact` |
|
|
12/58 |
Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Instances.lean,Mathlib/Analysis/Normed/Group/Quotient.lean,Mathlib/Analysis/SpecialFunctions/Log/Base.lean,Mathlib/Data/TypeVec.lean,Mathlib/FieldTheory/Separable.lean,Mathlib/Geometry/Euclidean/SignedDist.lean,Mathlib/NumberTheory/NumberField/InfinitePlace/Ramification.lean,Mathlib/RingTheory/EssentialFiniteness.lean |
8 |
6 |
['github-actions', 'grunweg', 'leanprover-bot'] |
nobody |
0-7154 1 hour ago |
0-7154 1 hour ago |
0-13153 3 hours |
| 25996 |
101damnations author:101damnations |
feat(RepresentationTheory/Homological/GroupHomology): add Shapiro's lemma |
Given a commutative ring `k` and a finite index subgroup `S ≤ G`, the file `RepresentationTheory/FiniteIndex.lean` defines a natural isomorphism between the functors `Ind_S^G, Coind_S^G : Rep k S ⥤ Rep k G`.
Using this isomorphism, we conclude that the `(Co)ind_S^G` and `Res(S) : Rep k G ⥤ Rep k S` are both left and right adjoint to each other, and thus that `Res(S)` is an exact functor which preserves projective objects. In particular, given a projective resolution `P` of `k` as a trivial `k`-linear `G`-representation, `Res(S)(P)` is a projective resolution of `k` as a trivial `k`-linear `S`-representation.
Given a `G`-representation `X`, we define a natural isomorphism between the functors `Rep k S ⥤ ModuleCat k` sending `A` to `(Ind_S^G A ⊗ X)_G` and to `(A ⊗ Res(S)(X))_S`. Hence a projective resolution `P` of `k` as a trivial `G`-representation induces an isomorphism of complexes `(Ind_S^G A ⊗ P)_G ≅ (A ⊗ Res(S)(P))_S`, and since the homology of these complexes calculate group homology, we conclude Shapiro's lemma: `Hₙ(G, Ind_S^G(A)) ≅ Hₙ(S, A)` for all `n`.
---
- [x] depends on: #25937
[](https://gitpod.io/from-referrer/)
|
|
181/9 |
Mathlib.lean,Mathlib/RepresentationTheory/Homological/GroupHomology/Basic.lean,Mathlib/RepresentationTheory/Homological/GroupHomology/Shapiro.lean |
3 |
n/a |
['github-actions', 'mathlib4-dependent-issues-bot'] |
nobody |
0-6197 1 hour ago |
unknown |
unknown |
| 26513 |
wwylele author:wwylele |
feat(Order): complementary under sublattice |
This makes the `complementedLattice_Iic` instance more discoverable by stating
the theorem that `ComplementedLattice` + `ModularLattice` -> one can find a complement
relative to any pair of elements.
---
~~While the proof is short from order theory perspective, there wasn't an obvious theorem stating that you can also take complementary submodule under a larger submodule. Add this here for better discovery.~~
- [ ] depends on: #26582
[](https://gitpod.io/from-referrer/)
|
t-algebra
easy
label:t-algebra$ |
80/30 |
Mathlib/Order/LatticeIntervals.lean,Mathlib/Order/ModularLattice.lean |
2 |
17 |
['eric-wieser', 'github-actions', 'mathlib4-dependent-issues-bot', 'wwylele'] |
nobody |
0-5514 1 hour ago |
0-5516 1 hour ago |
1-73685 1 day |
| 26645 |
erdOne author:erdOne |
feat(RingTheory/PowerSeries): Construction of `Q` such that `P(Q(X)) = X` |
Co-authored-by: Junnosuke Koizumi
Co-authored-by: Hyeon, Seung-Hyeon
Co-authored-by: Yuichiro Taguchi
This contribution was created as part of the ZMC conference 2025 "Anabelian Geometry and its Computer Formalization".
---
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
133/0 |
Mathlib/RingTheory/PowerSeries/Substitution.lean |
1 |
9 |
['chrisflav', 'erdOne', 'github-actions', 'kckennylau'] |
nobody |
0-4861 1 hour ago |
0-40861 11 hours ago |
0-40908 11 hours |
| 26649 |
b-mehta author:b-mehta |
feat(Data/Sym/Sym2): construct set of unordered pairs |
We currently can make the list of unordered pairs from a list, and similarly for multisets and finsets. This PR adds the analogous definition for sets, and adds compatibility lemmas for each of the three above.
---
[](https://gitpod.io/from-referrer/)
|
t-data |
35/0 |
Mathlib/Data/Finset/Sym.lean,Mathlib/Data/List/Sym.lean,Mathlib/Data/Multiset/Sym.lean,Mathlib/Data/Sym/Sym2.lean |
4 |
2 |
['eric-wieser', 'github-actions'] |
nobody |
0-3172 52 minutes ago |
0-30976 8 hours ago |
0-31024 8 hours |
| 26658 |
mbkybky author:mbkybky |
feat(Algebra): `a / n ≤ a` for `n : ℕ` and `0 ≤ a` |
Show that if `n : ℕ` and `0 ≤ a` then `a / n ≤ a`, moreover `a / n < a` if `2 ≤ n`.
Also show that `a / c = b / d` if `a / b = c / d`, `c ≠ 0` and `d ≠ 0`.
---
[](https://gitpod.io/from-referrer/)
|
t-data
t-algebra
label:t-algebra$ |
17/0 |
Mathlib/Algebra/GroupWithZero/Units/Basic.lean,Mathlib/Algebra/Order/Field/Basic.lean,Mathlib/Data/Nat/Cast/Order/Basic.lean |
3 |
1 |
['github-actions'] |
nobody |
0-536 8 minutes ago |
0-536 8 minutes ago |
0-4838 1 hour |