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| Number |
Author |
Title |
Description |
Labels |
+/- |
Modified files (first 100) |
📝 |
💬 |
All users who commented or reviewed |
Assignee(s) |
Updated |
Last status change |
total time in review |
| 34952 |
joneugster author:joneugster |
feat(scripts/autolabel): use `Cli` and integrate `curl` call into `autolabel` |
- use `Cli` for `lake exe autolabel`
- add arguments `--pr xxx --gh` and `--pr xxx --curl <TOKEN>` to chose between different interaction methods with github
- add `--force` to skip the check whether labels are already present. (note: the current `curl` setup doesn't perform this step and neither does the refactor, so I added a `Todo` to remember this. )
- make CI-workflow simpler and more robust by removing current stdout-parsing of the debug-messages which `autolabel` emits.
### Testing
Make some local changes and commit them. Ensure your local `origin/master` is in sync with `upstream/master` if you are on a fork.
- `lake exe autolabel`: prints the labels which would be applicable
- `lake exe autolabel --pr 34952 --gh --force` adds these labels to this PR using `gh`.
- `lake exe autolabel --pr 34952 --gh` adds these labels to this PR using `gh` if no topic labels are present.
- `lake exe autolabel --pr 34952 --curl <ACCESS_TOKEN>` adds these labels to this PR using `curl`. This requires a github access token for authentication
---
[](https://gitpod.io/from-referrer/)
|
CI |
85/72 |
.github/workflows/add_label_from_diff.yaml,scripts/autolabel.lean |
2 |
4 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
107-20240 3 months ago |
90-67249 90 days ago |
123-21338 123 days |
| 37420 |
artie2000 author:artie2000 |
refactor: change definitions to avoid `ConvexCone` |
Change the definitions of `PointedCone.positive` and `PointedCone.closure` to avoid mentioning `ConvexCone`.
This PR is part of a series deprecating `ConvexCone`: https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Replacing.20.60ConvexCone.60.20with.20.60PointedCone.60/with/582738985
---
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|
t-convex-geometry
maintainer-merge
|
10/4 |
Mathlib/Analysis/Convex/Cone/Closure.lean,Mathlib/Geometry/Convex/Cone/Pointed.lean |
2 |
3 |
['YaelDillies', 'github-actions', 'mathlib-merge-conflicts', 'ooovi', 'vihdzp'] |
nobody |
72-67693 2 months ago |
72-67657 72 days ago |
88-1471 88 days |
| 38316 |
tannerduve author:tannerduve |
feat(Order/OmegaCompletePartialOrder): least fixed point and Scott induction |
Adds `ContinuousHom.lfp` for endomorphisms on an ωCPO with `⊥`, as the `ωSup` of the iterate chain from `⊥`, together with `map_lfp`, `isFixedPt_lfp`, `lfp_le_fixed`, `isLeast_lfp`, and the Scott induction theorem `lfp_induction` (specialized from a more general seed-based `ωSup_iterate_induction`).
For `Part.fix`, adds:
* `Part.exists_mem_approx_of_mem_fix`: if `y ∈ Part.fix g x`, some finite approximation of `g` already contains `y`.
* `Part.Fix.approx_eq_iterate_bot` and `Part.Fix.approxChain_eq_iterateChain`: bridges between `Fix.approx`/`approxChain` and `f^[n] ⊥`/`iterateChain`.
* `Part.fix_eq_lfp`: `Part.fix g = ContinuousHom.lfp (.ofFun g hc)` when `g` is ω-Scott continuous.
* `Part.fix_scott_induction`: Scott induction specialized to `Part.fix`.
* `Part.fix_induction_mem`: membership induction on `Part.fix`, derived from `fix_scott_induction`. |
new-contributor |
114/0 |
Mathlib/Control/LawfulFix.lean,Mathlib/Order/OmegaCompletePartialOrder.lean,docs/references.bib |
3 |
2 |
['github-actions'] |
nobody |
56-44618 1 month ago |
68-20720 68 days ago |
68-20897 68 days |
| 38358 |
yuanyi-350 author:yuanyi-350 |
doc(1000.yaml): note more formalised theorems |
---
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|
documentation
maintainer-merge
|
9/2 |
docs/1000.yaml |
1 |
12 |
['YaelDillies', 'github-actions', 'grunweg', 'vihdzp', 'yuanyi-350'] |
nobody |
55-74695 1 month ago |
55-74757 55 days ago |
66-76064 66 days |
| 36815 |
EtienneC30 author:EtienneC30 |
feat: a measurable space structure on the type of continuous maps |
Endow the type `C(X, Y)` of continuous maps from `X` to `Y` with the Borel sigma-algebra coming from the compact-open topology and show that, under some assumptions on `X` and `Y`, this is equal to the restriction of the product sigma-algebra over `X → Y`.
Provide a measurable equivalence between `{f : X → Y // Continuous f}` and `C(X, Y)`.
Co-authored-by: @RemyDegenne
---
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|
t-topology
brownian
t-measure-probability
|
256/0 |
Mathlib.lean,Mathlib/MeasureTheory/Constructions/BorelSpace/ContinuousMap.lean,Mathlib/Topology/Bases.lean,Mathlib/Topology/Basic.lean,Mathlib/Topology/Compactness/Compact.lean,Mathlib/Topology/Separation/Regular.lean |
6 |
27 |
['ADedecker', 'EtienneC30', 'felixpernegger', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
53-79450 1 month ago |
53-79490 53 days ago |
93-74491 93 days |
| 39279 |
jayscambler author:jayscambler |
feat(Cryptography/Sigma): Schnorr sigma protocol and signature scheme |
Adds `Mathlib/Cryptography/Sigma/Schnorr.lean`. New file in a new top-level directory; mathlib currently has no `Mathlib/Cryptography/`, so I've taken `Mathlib/Cryptography/Sigma/` as the natural home for sigma-protocol formalizations.
The file proves the three defining properties of Schnorr's identification scheme as a sigma protocol:
- `Schnorr.correct`: completeness. Honest verifier accepts honest signer's transcript.
- `Schnorr.specialSoundness`: from two accepting transcripts sharing the commitment but using different challenges `c, c'`, the witness `x = (s - s') / (c - c')` is recovered. Needs `q` prime so `c - c'` is invertible in `ZMod q`.
- `Schnorr.hvzkAccepts`: the HVZK simulator `g^s · (y^c)⁻¹` always yields accepting transcripts. This is the structural-correctness half of HVZK only; the distributional indistinguishability statement is a separate result and not in this PR.
On top of the sigma protocol there's `Schnorr.Signature.{keyGen, sign, verify, correct}` wrapping it as a Fiat-Shamir signature scheme; `Schnorr.Signature.correct` is a one-line corollary of `Schnorr.correct`.
Two auxiliary lemmas, `Schnorr.gpow_sub` and `Schnorr.gpow_mul`, bridge `ZMod q` arithmetic and group exponentiation under `Fintype.card G = q`. They're local to this file for now because the surrounding `gpow` API is itself cryptography-specific; if a general `ZMod q`-graded group action framework lands in mathlib later, both lemmas would become instances of it.
There's also a small `example` instantiating everything on `Multiplicative (ZMod q)` for `Fact q.Prime` to show the API typechecks. That instantiation is a toy (DLOG is trivial in that group), but it confirms the abstraction is usable.
**AI disclosure**: this PR was a collaboration between myself, Grey Haven's autocontext and Claude Opus 4.7 (Anthropic). I read each line and built locally on current master. (strawberry has three r's) |
new-contributor
LLM-generated
|
352/0 |
Mathlib.lean,Mathlib/Cryptography/Sigma/Schnorr.lean |
2 |
2 |
['github-actions'] |
nobody |
45-52365 1 month ago |
45-52444 45 days ago |
45-52585 45 days |
| 37928 |
AlexeyMilovanov author:AlexeyMilovanov |
refactor(Computability.Encoding): unbundle Γ and remove FinEncoding |
This PR unbundles the alphabet `Γ` from the `Encoding` structure and completely removes `FinEncoding`.
`Encoding`: The alphabet `Γ` is now an explicit parameter: `structure Encoding (α : Type u) (Γ : Type v)`.
`FinEncoding`: Removed. Finiteness is now handled via standard typeclasses (e.g., `[Fintype Γ] (e : Encoding α Γ)`).
Combinators: Functions like `finEncodingPair` are simplified to `encodingPair`, dropping the `fin` prefix and `[Fintype]` requirements where no longer needed.
Downstream: Mechanically updated `Mathlib.Computability` and `Mathlib.ModelTheory` to pass the explicit `Γ` and use `[Fintype Γ]` where `FinEncoding` was previously required.
|
new-contributor
maintainer-merge
|
87/67 |
Mathlib/Computability/Encoding.lean,Mathlib/ModelTheory/Encoding.lean |
2 |
9 |
['AlexeyMilovanov', 'dagurtomas', 'github-actions', 'vihdzp'] |
nobody |
45-23836 1 month ago |
51-74814 51 days ago |
77-54321 77 days |
| 39375 |
yuanyi-350 author:yuanyi-350 |
refactor(NumberTheory): golf `Mathlib/NumberTheory/ModularForms/SlashActions` |
- streamlines `prod_slash_sum_weights` by letting `simp` handle the empty case and removing the redundant singleton split in the inductive step
Extracted from #38144
[](https://gitpod.io/from-referrer/) |
codex
LLM-generated
|
1/5 |
Mathlib/NumberTheory/ModularForms/SlashActions.lean |
1 |
2 |
['github-actions', 'yuanyi-350'] |
nobody |
44-51099 1 month ago |
44-53189 44 days ago |
44-52840 44 days |
| 33928 |
jsm28 author:jsm28 |
feat(Combinatorics/Tiling/TileSet): indexed families of tiles |
Define the type `TileSet` for indexed families of tiles (in a discrete context), and some associated definitions (including `symmetryGroup`) and API lemmas.
`TileSet` can be used for tilings of the whole space; for tilings of part of the space; for patches of tiles (extracted from a tiling by considering tiles meeting some set of points, or considered on their own without extracting from a tiling); for multiple tilings (covering the space more than once). In particular, the fact that people study multiple tilings provides a clear justification for using indexed families rather than sets of tiles, and basic definitions and API lemmas generally work for all these different uses of `TileSet` (sometimes with weak constraints such as tiles being finite, nonempty and only having finitely many tiles meeting any point of the space).
Definitions for saying e.g. "this `TileSet` is a tiling of the whole space" are to be included in subsequent files in subsequent PRs.
From AperiodicMonotilesLean.
---
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|
t-combinatorics |
460/0 |
Mathlib.lean,Mathlib/Combinatorics/Tiling/TileSet.lean |
2 |
23 |
['Parcly-Taxel', 'b-mehta', 'eric-wieser', 'github-actions', 'jsm28', 'vihdzp'] |
nobody |
40-20246 1 month ago |
165-37354 165 days ago |
165-37005 165 days |
| 33714 |
idontgetoutmuch author:idontgetoutmuch |
feat(Mathlib/Geometry/Manifold): Riemannian metrics exist II |
Supersedes https://github.com/leanprover-community/mathlib4/pull/33519
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[](https://gitpod.io/from-referrer/)
|
t-differential-geometry
new-contributor
|
723/0 |
Mathlib.lean,Mathlib/Algebra/BigOperators/Finprod.lean,Mathlib/Geometry/Manifold/ExistsRiemannianMetric.lean,Mathlib/Geometry/Manifold/PartitionOfUnity.lean |
4 |
200 |
['Rida-Hamadani', 'github-actions', 'grunweg', 'idontgetoutmuch'] |
nobody |
38-20245 1 month ago |
69-59796 69 days ago |
114-66430 114 days |
| 35069 |
A-M-Berns author:A-M-Berns |
feat(Geometry/Polygon): simple polygons and boundary map |
This PR introduces Simple polygons with the predicate `IsSimple`, which captures the idea of a non-self-intersecting boundary, in the file Simple.lean. In the file Boundary.lean, a boundary map from `AddCircle n` is defined. I prove that the range of this map is the boundary and that this map is injective if and only if the polygon is simple. I kept Boundary.lean and Simple.lean separate because future results will include stuff just about the boundary map independent of simplicity (e.g. that it is continuous in the appropriate setting) and stuff just about simple polygons independent of the boundary map (e.g. that for n = 3, IsSimple iff HasNondegenerateVertices.) I used Claude Code to help generate some of the proof material, but I golfed and edited all AI contribution.
- [x] depends on: #34598
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new-contributor
t-euclidean-geometry
LLM-generated
|
360/0 |
Mathlib.lean,Mathlib/Geometry/Polygon/Boundary.lean,Mathlib/Geometry/Polygon/Simple.lean,Mathlib/Logic/Equiv/Fin/Rotate.lean |
4 |
30 |
['A-M-Berns', 'eric-wieser', 'github-actions', 'joneugster', 'jsm28', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp', 'wwylele'] |
nobody |
36-20247 1 month ago |
122-46102 122 days ago |
124-80039 124 days |
| 36814 |
YaelDillies author:YaelDillies |
refactor(Combinatorics/SimpleGraph): no proof obligation in `rotate` |
If the walk doesn't go through the new vertex, return `nil` instead.
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|
t-combinatorics |
41/32 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Subgraph.lean,Mathlib/Combinatorics/SimpleGraph/Hamiltonian.lean,Mathlib/Combinatorics/SimpleGraph/Matching.lean,Mathlib/Combinatorics/SimpleGraph/Paths.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Decomp.lean |
7 |
9 |
['SnirBroshi', 'YaelDillies', 'b-mehta', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
32-55745 1 month ago |
32-55822 32 days ago |
95-7188 95 days |
| 39907 |
Hagb author:Hagb |
feat(Order/InititalSeg): `PrincipalSeg` is trichotomous for well orders |
For any two well orders, one is a principal segment of the other, or they are isomorphic.
Suggested by @vihdzp in the review of #39545
https://github.com/leanprover-community/mathlib4/pull/39545#discussion_r3262466782. It may slightly simplify the proof of `infinite_iff_nonempty_relEmbedding_of_isWellOrder`.
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t-order |
7/0 |
Mathlib/Order/InitialSeg.lean |
1 |
1 |
['github-actions', 'vihdzp'] |
nobody |
31-51299 1 month ago |
32-7209 32 days ago |
32-6860 32 days |
| 38231 |
NoneMore author:NoneMore |
feat(ModelTheory/Definablity): add syntax-to-definability bridge lemmas |
Add bridge lemmas from syntax to definability and refactor downstream proofs to use them.
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t-logic |
88/56 |
Mathlib/ModelTheory/Definability.lean,Mathlib/ModelTheory/ElementarySubstructures.lean |
2 |
1 |
['github-actions'] |
nobody |
31-20248 1 month ago |
70-4932 70 days ago |
70-4583 70 days |
| 32294 |
jsm28 author:jsm28 |
feat(Geometry/Euclidean/Angle/Incenter): distance from second intersection with circumcircle |
Add the following lemma: given a triangle ABC, suppose an angle bisector from A through the incenter or excenter I meets the circumcircle again at X (including the case of an external bisector at A tangent to the circle, in which case X = A). Then XB = XI (= XC, by applying this lemma again). This is a standard configuration: https://en.wikipedia.org/wiki/Incenter%E2%80%93excenter_lemma
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t-euclidean-geometry |
214/0 |
Mathlib/Geometry/Euclidean/Angle/Incenter.lean |
1 |
5 |
['github-actions', 'jsm28', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'peakpoint'] |
nobody |
30-27447 30 days ago |
30-27516 30 days ago |
92-44488 92 days |
| 39787 |
Hagb author:Hagb |
feat(Order/WellQuasiOrder): `WellQuasiOrdered` if onto homomorphous from a `WellQuasiOrdered` relation |
It is used in #39788 for proof of well foundedness of `MonomialOrder` when the index type is finite.
The hypotheses can be further weaken once #38557 is merged.
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t-order
easy
|
16/0 |
Mathlib/Order/WellQuasiOrder.lean |
1 |
3 |
['Hagb', 'github-actions', 'plp127'] |
nobody |
29-49938 29 days ago |
34-36014 34 days ago |
34-35665 34 days |
| 39857 |
plp127 author:plp127 |
chore(Order/CompleteLattice/Basic): `Sort*` polymorphism |
Generalize some theorems from `Type*` to `Sort*`. Also make type-variables explicitly either `Type*` or `Sort*`.
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t-order |
15/20 |
Mathlib/Order/CompleteLattice/Basic.lean |
1 |
4 |
['SnirBroshi', 'b-mehta', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
28-14899 28 days ago |
28-14936 28 days ago |
32-15302 32 days |
| 39136 |
vihdzp author:vihdzp |
feat: more results on `Order.enum` |
Most importantly, we prove that the enumerator function of a cofinal set is normal iff the set is closed (under non-empty suprema).
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|
t-set-theory
t-order
maintainer-merge
|
90/7 |
Mathlib/Order/Cofinal.lean,Mathlib/SetTheory/Cardinal/Cofinality/Club.lean,Mathlib/SetTheory/Cardinal/Cofinality/Enum.lean,Mathlib/SetTheory/Ordinal/Topology.lean |
4 |
7 |
['YaelDillies', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
26-32729 26 days ago |
30-37864 30 days ago |
31-1429 31 days |
| 39905 |
plp127 author:plp127 |
chore(Order/CompleteBooleanAlgebra): dualize `symmDiff` theorems |
Dualize some `symmDiff` theorems, and also generalize them from `CompleteBooleanAlgebra` to `Order.Coframe`.
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t-order |
76/39 |
Mathlib/Order/CompleteBooleanAlgebra.lean |
1 |
3 |
['github-actions', 'plp127', 'vihdzp'] |
nobody |
26-31927 26 days ago |
32-19210 32 days ago |
32-18861 32 days |
| 40040 |
JovanGerb author:JovanGerb |
chore(Order/Bounds/Basic): add missing `to_dual` tags |
This PR adds some `to_dual` tags that weren't added in #35208
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t-order |
43/68 |
Mathlib/Order/Bounds/Basic.lean |
1 |
1 |
['github-actions', 'vihdzp'] |
nobody |
26-5534 26 days ago |
28-72530 28 days ago |
28-72181 28 days |
| 39975 |
gasparattila author:gasparattila |
chore: tag `(Continuous)LinearEquiv.prodCongr_symm` with `@[simp]` |
This is consistent with the other `prodCongr`s. Note that this also changes the type of `PiLp.sumPiLpEquivProdLpPiLp_symm_apply_ofLp`, which is now fully simplified.
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maintainer-merge |
5/5 |
Mathlib/LinearAlgebra/Prod.lean,Mathlib/MeasureTheory/Measure/Haar/InnerProductSpace.lean,Mathlib/Topology/Algebra/Module/Equiv.lean |
3 |
4 |
['github-actions', 'themathqueen'] |
nobody |
25-37554 25 days ago |
30-59860 30 days ago |
30-59511 30 days |
| 40185 |
lua-vr author:lua-vr |
feat(Order/Closure): closure_sup_le and sup_closure_le |
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t-order |
6/0 |
Mathlib/Order/Closure.lean |
1 |
2 |
['github-actions'] |
nobody |
24-58108 24 days ago |
24-58473 24 days ago |
24-58124 24 days |
| 35753 |
Vilin97 author:Vilin97 |
feat(Topology/Algebra/Order): regular grid helpers and piecewise linear interpolation |
Make API for piecewise linear interpolation on regular grids. I need these to for ODE time-stepping methods, like forward Euler, and later Runge–Kutta methods.
Follow-up PR: #35755 (forward Euler method convergence).
I don't know if these numerical analysis ODE-solving methods even belong in mathlib. If someone could advise me on it, I would appreciate it.
---
The initial proof was produced by [Aristotle](https://aristotle.harmonic.fun). The code was iteratively refined (factoring out lemmas, golfing, simplifying proofs) using Claude Code.
- [ ] depends on: #38091 |
t-topology
new-contributor
LLM-generated
maintainer-merge
|
201/0 |
Mathlib.lean,Mathlib/Topology/Algebra/Order/PiecewiseLinear.lean |
2 |
59 |
['Vilin97', 'YanYablonovskiy', 'adomani', 'botbaki-review', 'copilot-pull-request-reviewer', 'dagurtomas', 'eric-wieser', 'github-actions', 'grunweg', 'j-loreaux', 'mathlib-dependent-issues', 'wwylele'] |
nobody |
24-20247 24 days ago |
57-30967 57 days ago |
89-79698 89 days |
| 40193 |
BoltonBailey author:BoltonBailey |
chore(1000.yaml): add entries |
This PR adds data on a number of previously missing entries to 1000.yaml that were found during the course of Project Numina's preparation of LeanTriathlon.
These include:
- `comment`s with references to formalized statements of theorems (mostly from the formal-conjectures repo) in cases where they exist, (it seems that, while we can add unproven statements and statements from other repos, we can't really include unproven statements from other repos using the system as it currently exists)
- `comment`s about related definitions to certain theorems in mathlib.
- `url` references to a few complete formalizations in a variety of other repositories.
- `decl` for the preexisting `prime_ideal_of_disjoint_filter_ideal` theorem in Mathlib, which as far as I can tell is just a more general version of the Boolean Prime Ideal theorem.
AI was used in large scale scans to identify these missing entries, but I have done my best to check manually that the statements are correct.
---
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[](https://gitpod.io/from-referrer/)
|
|
18/2 |
docs/1000.yaml |
1 |
8 |
['BoltonBailey', 'github-actions', 'wwylele'] |
nobody |
23-39058 23 days ago |
23-39847 23 days ago |
23-40722 23 days |
| 39449 |
Paul-Lez author:Paul-Lez |
doc: add library note about scoping simp lemmas with weak keys |
In PR #39262 I noticed that some `simp` lemmas were scoped for a reason that is not immediately obvious, so I figured that adding a library note would be nice in case anyone else runs into this in the future (this pattern is quite common in Mathlib!)
In case it's helpful for review, here are links to a few of the PRs that added this scoping initially:
- #14233
- #15620
- #15631
---
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[](https://gitpod.io/from-referrer/)
|
|
71/4 |
Mathlib.lean,Mathlib/Algebra/AddConstMap/Basic.lean,Mathlib/Algebra/CharP/Two.lean,Mathlib/Algebra/GradedMonoid.lean,Mathlib/Algebra/Ring/BooleanRing.lean,Mathlib/Algebra/Ring/CharZero.lean,Mathlib/Tactic.lean,Mathlib/Tactic/SimpLibraryNote.lean |
8 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
23-18406 23 days ago |
23-18406 23 days ago |
36-25809 36 days |
| 40245 |
Scarlett-le author:Scarlett-le |
feat: same/opposite side of an affine subspace from scalar multiples of a common vector |
Add `sameRay_smul_smul_of_mul_nonneg` to `Mathlib/LinearAlgebra/Ray.lean`: two scalar multiples `c₁ • v` and `c₂ • v` of a common vector lie on a common ray whenever `0 ≤ c₁ * c₂`. Using it, add four lemmas to `Mathlib/Analysis/Convex/Side.lean` giving sufficient conditions for a pair of points to be (weakly/strictly) on the same or opposite side of an affine subspace, from the displacements `x -ᵥ p₁ = c₁ • m` and `y -ᵥ p₂ = c₂ • m`. The sign of `c₁ * c₂` determines same vs opposite side:
* `AffineSubspace.wSameSide_of_vsub_eq_smul` / `sSameSide_of_vsub_eq_smul`
* `AffineSubspace.wOppSide_of_vsub_eq_smul` / `sOppSide_of_vsub_eq_smul`
---
This PR is a prerequisite for #34164 (feat(Geometry/Euclidean/Sphere): define arcs on spheres). |
|
53/0 |
Mathlib/Analysis/Convex/Side.lean,Mathlib/LinearAlgebra/Ray.lean |
2 |
1 |
['github-actions'] |
nobody |
23-9054 23 days ago |
23-10524 23 days ago |
23-10175 23 days |
| 40266 |
WangJiabai author:WangJiabai |
feat(RingTheory/MvPolynomial): define generic determinantal ideals |
This PR adds a foundational API for determinantal ideals of the generic matrix.
It defines `Matrix.MinorIndex`, the corresponding minors of the existing generic
matrix `Matrix.mvPolynomialX`, the finite set of all `t × t` generic minors, and
the ideal generated by these minors in `MvPolynomial (Fin m × Fin n) R`.
It also proves basic membership, evaluation, coefficient-map/base-change, and
finite-generation lemmas.
This PR intentionally does not include the Sturmfels/KRS/straightening/Groebner
part of the development.
---
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Additional context:
This is extracted and refactored from a standalone project on determinantal
ideals and the Gröbner-basis theorem for generic determinantal ideals:
https://github.com/WangJiabai/Determinantal-Ideals-Formalization
The current PR is intentionally limited to the small foundational API for
generic minors and generic determinantal ideals.
AI use:
ChatGPT was used for planning/refactoring discussion, and Codex was used to
draft some proof scripts. I reviewed the statements and proofs and am
responsible for the submitted code.
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
LLM-generated
|
227/0 |
Mathlib.lean,Mathlib/RingTheory/MvPolynomial/DeterminantalIdeal.lean |
2 |
3 |
['WangJiabai', 'github-actions'] |
nobody |
22-48884 22 days ago |
22-49733 22 days ago |
22-49384 22 days |
| 40276 |
gasparattila author:gasparattila |
feat(Order/Partition/Finpartition): lemmas for `restrict` |
---
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|
t-order |
34/1 |
Mathlib/Order/Partition/Finpartition.lean |
1 |
1 |
['github-actions'] |
nobody |
22-26846 22 days ago |
22-27751 22 days ago |
22-27402 22 days |
| 40282 |
rosborn author:rosborn |
feat(Algebra/Group/Subgroup): add sup/iSup/biSup/sSup_characteristic |
The join of characteristic subgroups is characteristic.
---
These mirror the existing sup_normal/iSup_normal/biSup_normal/sSup_normal family in Subgroup/Pointwise.lean. I've left out the inf versions and extras like the characteristic closure until there's a use for them; they're easy to add later.
Discussed here: [Zulip](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Additional.20Group.20Theory.20Lemmas/with/600714666)
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|
t-algebra label:t-algebra$ |
24/0 |
Mathlib/Algebra/Group/Subgroup/Basic.lean |
1 |
5 |
['SnirBroshi', 'github-actions', 'rosborn'] |
nobody |
22-6402 22 days ago |
22-11596 22 days ago |
22-13253 22 days |
| 40297 |
alreadydone author:alreadydone |
feat(LinearAlgebra/Contraction): bijectivity of `dualTensorHom` + generalize to `CommSemiring` |
migrated from #25284
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
t-ring-theory
label:t-algebra$ |
184/33 |
Mathlib/Data/Finsupp/Defs.lean,Mathlib/LinearAlgebra/Contraction.lean,Mathlib/LinearAlgebra/Pi.lean,Mathlib/LinearAlgebra/Trace.lean,Mathlib/RingTheory/Finiteness/Finsupp.lean |
5 |
1 |
['github-actions'] |
nobody |
21-52372 21 days ago |
21-54780 21 days ago |
21-54431 21 days |
| 39504 |
WenrongZou author:WenrongZou |
feat(MvPowerSeries/Ideal): kernel of map equals map `C` of kernel |
In this PR, we prove that given a ring homomorphism f, suppose that kernel of f is finitely generated, then kernel of map equals map `C` of kernel. (See `ker_map_of_FG`).
---
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
87/0 |
Mathlib.lean,Mathlib/RingTheory/MvPowerSeries/Ideal.lean |
2 |
4 |
['CoolRmal', 'WenrongZou', 'github-actions'] |
alreadydone assignee:alreadydone |
21-18353 21 days ago |
41-70819 41 days ago |
41-70770 41 days |
| 40286 |
menon-codes author:menon-codes |
feat: IMO 2000 Q2 |
Feat: adding IMO 2000 Q2.
Formalizes a solution of IMO 2000 Q2 from [The Art of Problem Solving](https://artofproblemsolving.com/wiki/index.php?title=2000_IMO_Problems/Problem_2).
See [this Zulip chat](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Feedback.20on.20first.20PR.20.28IMO.20problem.29/)
|
IMO
new-contributor
|
116/0 |
Archive.lean,Archive/Imo/Imo2000Q2.lean |
2 |
5 |
['github-actions', 'menon-codes', 'wwylele'] |
jsm28 assignee:jsm28 |
21-18347 21 days ago |
21-80819 21 days ago |
21-80470 21 days |
| 40304 |
grunweg author:grunweg |
perf: lower priority for IsSimpleGroup.toNontrivial attributes |
These instances have very weak keys ([Nontrivial, *]), hence are always applied. Let's try lowering their priority.
---
Found using an updated version of this code: https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/.2322780.20scoping.20a.20few.20instances.20with.20weak.20keys/with/504683279
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[](https://gitpod.io/from-referrer/)
|
|
9/1 |
Mathlib/Algebra/Quandle.lean,Mathlib/GroupTheory/Subgroup/Simple.lean,Mathlib/RingTheory/SimpleRing/Basic.lean |
3 |
9 |
['github-actions', 'grunweg', 'leanprover-radar'] |
nobody |
20-80259 20 days ago |
21-29673 21 days ago |
21-32308 21 days |
| 40329 |
no-j author:no-j |
feat(Computability): matching εNFA.Path definition with NFA.Path |
Added εNFA.Path definition that is based on `Type` instead of `Prop` to match NFA's path definition
Added εNFA.Path.supp (same definition as NFA.Path.supp)
---
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|
t-computability
new-contributor
|
60/23 |
Mathlib/Computability/EpsilonNFA.lean |
1 |
3 |
['github-actions'] |
nobody |
20-72632 20 days ago |
20-73465 20 days ago |
20-73488 20 days |
| 40288 |
Nicola9Falciola author:Nicola9Falciola |
feat(Algebra/FreeAbelianGroup/Finsupp): rw a as sum over the elements in its support |
API for FreeAbelianGroup, a can rw as a sum over the elements in its support
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t-algebra
new-contributor
label:t-algebra$ |
6/0 |
Mathlib/Algebra/FreeAbelianGroup/Finsupp.lean |
1 |
5 |
['github-actions', 'plp127'] |
nobody |
20-71414 20 days ago |
21-74485 21 days ago |
21-74136 21 days |
| 38200 |
Parcly-Taxel author:Parcly-Taxel |
feat: Turán numbers and their strict monotonicity |
`strictMonoOn_turanNumber` was initially proved by @Aristotle-Harmonic, then hand-polished.
Co-authored-by: Aristotle (Harmonic) <aristotle-harmonic@harmonic.fun> |
t-combinatorics |
45/20 |
Mathlib/Combinatorics/SimpleGraph/Extremal/Turan.lean |
1 |
6 |
['Parcly-Taxel', 'github-actions', 'mathlib-merge-conflicts', 'tb65536'] |
b-mehta assignee:b-mehta |
20-60446 20 days ago |
20-61208 20 days ago |
66-78244 66 days |
| 37751 |
JovanGerb author:JovanGerb |
chore(Order/Filter/IsBounded): use `to_dual` |
use `to_dual` for `Filter.IsBounded`
---
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|
81/227 |
Mathlib/Algebra/Order/Monoid/Unbundled/Basic.lean,Mathlib/Order/Filter/IsBounded.lean |
2 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
20-52189 20 days ago |
21-40907 21 days ago |
21-42081 21 days |
| 39875 |
mkaratarakis author:mkaratarakis |
refactor(NumberField/House): expose Siegel lemma infrastructure |
Expose Siegel's lemma infrastructure in `NumberField.House`: rename the private
basis-matrix bound to `basisMatrixInvSupNorm`, make `house` reducible, and
adjust `exists_ne_zero_int_vec_house_le`.
Needed for #39874
---
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|
59/48 |
Mathlib/NumberTheory/NumberField/House.lean |
1 |
4 |
['github-actions', 'mkaratarakis', 'tb65536'] |
nobody |
20-42632 20 days ago |
32-42646 32 days ago |
32-46024 32 days |
| 33126 |
CoolRmal author:CoolRmal |
feat: function composition preserves boundedness |
This PR adds the following theorem: if the range of a function `g` is bounded above, then `g ∘ f` is bounded above for
all functions `f`.
---
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|
t-order |
19/5 |
Mathlib/Algebra/Order/Group/Pointwise/Bounds.lean,Mathlib/Algebra/Order/GroupWithZero/Bounds.lean,Mathlib/Order/Bounds/Basic.lean,Mathlib/Order/Bounds/Image.lean |
4 |
5 |
['CoolRmal', 'b-mehta', 'github-actions', 'mathlib4-merge-conflict-bot'] |
bryangingechen assignee:bryangingechen |
20-41862 20 days ago |
20-45113 20 days ago |
47-53941 47 days |
| 40298 |
xroblot author:xroblot |
feat(Algebra/Algebra): add RingEquiv.toIntAlgEquiv and RingEquiv.toRatAlgEquiv |
Adds the `RingEquiv` analogues of `RingHom.toIntAlgHom` and `RingHom.toRatAlgHom`/`RingHom.equivRatAlgHom`:
- `RingEquiv.toIntAlgEquiv`: a `RingEquiv` between rings is canonically a `ℤ`-algebra isomorphism.
- `RingEquiv.toRatAlgEquiv` / `RingEquiv.equivRatAlgEquiv`: same for `ℚ`-algebras, giving `(R ≃+* S) ≃ (R ≃ₐ[ℚ] S)`.
(`equivRatAlgEquiv` can't carry `@[simps]` like `equivRatAlgHom` does, since `AlgEquiv.toRingEquiv` isn't a constructor application.)
:robot: This PR was extracted from the [SKW project](https://github.com/xroblot/SKW) by Claude. |
t-algebra label:t-algebra$ |
62/0 |
Mathlib/Algebra/Algebra/Equiv.lean,Mathlib/Algebra/Algebra/Hom/Rat.lean |
2 |
2 |
['github-actions', 'themathqueen'] |
nobody |
20-37276 20 days ago |
21-53963 21 days ago |
21-53614 21 days |
| 40328 |
xroblot author:xroblot |
feat(FieldTheory/IntermediateField): add PowerBasis.ofAdjoinSimpleEqTop |
Adds `PowerBasis.ofAdjoinSimpleEqTop`, the `IntermediateField.adjoin` analogue of the
existing `PowerBasis.ofAdjoinEqTop` (which uses `Algebra.adjoin`): if `α` generates `L`
over `K` (i.e. `K⟮α⟯ = ⊤`) and is integral over `K`, then `α` defines a `PowerBasis`
for `L` over `K`.
The declaration is placed in `Mathlib.FieldTheory.IntermediateField.Adjoin.Basic`
(alongside `adjoin.powerBasis` and `adjoin.finrank`) rather than `Adjoin.Algebra`,
since its proof uses `adjoin.powerBasis` and `PowerBasis.map`.
:robot: This PR was extracted from the [SKW project](https://github.com/xroblot/SKW) by Claude. |
t-algebra label:t-algebra$ |
18/0 |
Mathlib/FieldTheory/IntermediateField/Adjoin/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
20-37255 20 days ago |
20-55640 20 days ago |
20-55533 20 days |
| 39890 |
thorimur author:thorimur |
feat: overhaul `defsWithUnderscore` linter |
Modifies the behavior of the `defsWithUnderscore` linter to be more principled.
- Instead of exempting parsers by namespace, exempts by type.
- Exempt library notes by type (thus linting potential incorrect non-`LibraryNote` defs in the `LibraryNote` namespace).
- Exempt deprecated declarations; these are not technical debt (at least, not for this reason).
- Exempt `Prop`-typed defs; these may be made by `unif_hint`, for example, and are the resposibility of a different linter in any case.
- Exempts `Formatter` and `Parenthesizer` declarations.
- In the case that a definition is namespaceed under a theorem, exempts (only) the part of the declaration name that is a theorem.
- Do not exempt on the basis of guillemets; this is an elaborator feature.
- Do not exempt private declaration names. `isAutoDecl` (mistakenly?) considers all private names to be autogenerated, and we therefore need `isPrivateToUsername` beforehand. (Really, though, maybe this should be a batteries fix.) The reasoning here is that underscores are a *source readability* concern, not just a public interface concern, so private names are in scope for the linter as well.
- Exempts all `_<number>` names, not just `_1` and `_2`.
- Exempts decls ending in `_project` when they come from `Project`, using the same mechanism by which `_project` is appended.
- Modifications to the meta code to module-proof the linter, in the eventuality that env_linters have to be modulized or we want to use this function in a syntax linter.
---
- [x] depends on: #40125
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t-linter |
260/195 |
Mathlib/Tactic/Linter/Style.lean,MathlibTest/Linter/TextBased.lean,scripts/nolints.json |
3 |
4 |
['SnirBroshi', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
JovanGerb assignee:JovanGerb |
20-25633 20 days ago |
20-47772 20 days ago |
25-45231 25 days |
| 40053 |
gasparattila author:gasparattila |
feat(Topology/Sets): disjoint `Compacts` form an open set |
---
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t-topology |
13/0 |
Mathlib/Topology/Sets/VietorisTopology.lean |
1 |
3 |
['gasparattila', 'github-actions', 'mathlib-merge-conflicts'] |
PatrickMassot assignee:PatrickMassot |
20-18315 20 days ago |
22-32323 22 days ago |
27-67275 27 days |
| 36275 |
smmercuri author:smmercuri |
feat: norm for the finite adele ring of a number field |
---
- [x] depends on: #35820
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|
143/1 |
Mathlib.lean,Mathlib/NumberTheory/NumberField/Completion/FinitePlace.lean,Mathlib/NumberTheory/NumberField/FiniteAdeleRing.lean,Mathlib/RingTheory/DedekindDomain/FiniteAdeleRing.lean,Mathlib/Topology/Algebra/Valued/NormedValued.lean |
5 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
19-76875 19 days ago |
19-77722 19 days ago |
36-69658 36 days |
| 40302 |
xroblot author:xroblot |
feat(Data/Nat/Digits): add digitsAppend API lemmas and List.mapIdx_replicate |
Adds some lemmas about `Nat.digitsAppend` and `List.mapIdx_replicate`:
These complete the basic API around `Nat.digitsAppend` (already in Mathlib) that is needed downstream to relate it to `Nat.digits` and to sums indexed via `List.mapIdx`.
:robot: This PR was extracted from the [SKW project](https://github.com/xroblot/SKW) by Claude. |
t-data |
50/0 |
Mathlib/Data/List/Indexes.lean,Mathlib/Data/Nat/Digits/Lemmas.lean |
2 |
1 |
['github-actions'] |
nobody |
19-51572 19 days ago |
19-52315 19 days ago |
19-52136 19 days |
| 40336 |
Bergschaf author:Bergschaf |
feat(Order/Sublocales): definition of open sublocales |
---
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t-order |
49/7 |
Mathlib/Order/Sublocale.lean |
1 |
3 |
['Bergschaf', 'github-actions'] |
nobody |
19-47998 19 days ago |
19-61085 19 days ago |
19-61191 19 days |
| 39332 |
Michaillus author:Michaillus |
chore(Topology/Spectral): Added two small lemmas |
chore(Topology/Spectral): Added two lemmas
`IsCompact.isClosed_constructibleTopology_of_isOpen`
`IsCompact.isClosed_constructibleTopology_of_isClosed`
---
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|
t-topology
new-contributor
|
12/0 |
Mathlib/Topology/Spectral/ConstructibleTopology.lean |
1 |
7 |
['Michaillus', 'github-actions', 'plp127', 'qawbecrdtey'] |
mcdoll assignee:mcdoll |
19-18842 19 days ago |
45-32771 45 days ago |
45-32422 45 days |
| 40370 |
eric-wieser author:eric-wieser |
feat: connect BinaryTree and Ordnode |
These types are basically isomorphic; this PR adds the trivial defs that link them.
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|
t-data |
26/1 |
Mathlib/Data/Ordmap/Ordnode.lean |
1 |
1 |
['github-actions'] |
nobody |
19-7600 19 days ago |
19-8430 19 days ago |
19-8509 19 days |
| 40274 |
gasparattila author:gasparattila |
chore(Order/Partition/Finpartition): deprecate `ofPairwiseDisjoint` |
This is a duplicate of `Finpartition.ofErase`.
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|
t-order |
8/16 |
Mathlib/MeasureTheory/VectorMeasure/Variation/Basic.lean,Mathlib/Order/Partition/Finpartition.lean |
2 |
2 |
['gasparattila', 'github-actions'] |
nobody |
18-83036 18 days ago |
22-34880 22 days ago |
22-34531 22 days |
| 40404 |
felixpernegger author:felixpernegger |
chore(MeasureTheory/Constructions/BorelSpace): remove some `erw`'s |
Extracted from #40348
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|
tech debt
t-order
t-measure-probability
|
27/6 |
Mathlib/MeasureTheory/Constructions/BorelSpace/Order.lean,Mathlib/Order/Interval/Set/Basic.lean,Mathlib/Order/OrderDual.lean |
3 |
1 |
['github-actions'] |
nobody |
18-68200 18 days ago |
18-71498 18 days ago |
18-71149 18 days |
| 40323 |
JovanGerb author:JovanGerb |
fix(GRewrite): preserve binder names in the goal |
This PR fixes the new `grw` implementation to preserve binder names in the goal.
Preservation of binder names was already implemented, but it wouldn't work when the used `gcongr` lemma contained eta expanded variables, because the binder name from the eta expansion would persist. So, the fix is to eta reduce these terms before using them.
---
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|
t-meta |
24/7 |
Mathlib/Tactic/GCongr/Core.lean,Mathlib/Tactic/GRewrite/Core.lean,Mathlib/Topology/List.lean,MathlibTest/Tactic/GRewrite.lean |
4 |
10 |
['JovanGerb', 'amellendijk', 'eric-wieser', 'github-actions', 'grunweg'] |
grunweg assignee:grunweg |
18-66245 18 days ago |
18-69643 18 days ago |
20-71596 20 days |
| 40417 |
mariainesdff author:mariainesdff |
feat(LinearAlgebra/Isomorphisms): add LinearMap.equivOfSurjective |
Co-authored by: @AntoineChambert-Loir
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|
t-algebra label:t-algebra$ |
32/0 |
Mathlib/LinearAlgebra/Isomorphisms.lean |
1 |
1 |
['github-actions'] |
nobody |
18-49616 18 days ago |
18-51470 18 days ago |
18-51121 18 days |
| 40369 |
plp127 author:plp127 |
refactor: make `IsAtom` not depend on `OrderBot` |
We choose for `IsAtom a` to mean `∃ b, b ⋖ a ∧ ∀ c, c < a → b ≤ c`, which is equivalent to the current definition in the case of a `PartialOrder` with `OrderBot`. See [Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/.60IsAtom.60.20is.20wrong.20for.20preorders/near/601014129).
---
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|
t-order |
370/300 |
Mathlib/Algebra/Group/Subgroup/Order.lean,Mathlib/Algebra/Lie/InvariantForm.lean,Mathlib/Algebra/Lie/Killing.lean,Mathlib/Algebra/Lie/Semisimple/Basic.lean,Mathlib/Data/Finset/Grade.lean,Mathlib/GroupTheory/GroupAction/Jordan.lean,Mathlib/GroupTheory/Perm/MaximalSubgroups.lean,Mathlib/GroupTheory/SpecificGroups/Alternating/MaximalSubgroups.lean,Mathlib/GroupTheory/Sylow.lean,Mathlib/LinearAlgebra/Basis/VectorSpace.lean,Mathlib/LinearAlgebra/FiniteDimensional/Basic.lean,Mathlib/LinearAlgebra/Span/Basic.lean,Mathlib/Order/Atoms.lean,Mathlib/Order/BooleanGenerators.lean,Mathlib/Order/CompactlyGenerated/Basic.lean,Mathlib/Order/Filter/Ultrafilter/Defs.lean,Mathlib/Order/Ideal.lean,Mathlib/Order/Partition/Finpartition.lean,Mathlib/Order/Radical.lean,Mathlib/Order/SuccPred/Tree.lean,Mathlib/Order/ZornAtoms.lean,Mathlib/RingTheory/ChainOfDivisors.lean,Mathlib/RingTheory/DedekindDomain/Dvr.lean,Mathlib/RingTheory/DedekindDomain/Ideal/Basic.lean,Mathlib/RingTheory/DualNumber.lean,Mathlib/RingTheory/Ideal/Basic.lean,Mathlib/RingTheory/Ideal/GoingUp.lean,Mathlib/RingTheory/Ideal/Maps.lean,Mathlib/RingTheory/Ideal/Maximal.lean,Mathlib/RingTheory/Ideal/Quotient/Basic.lean,Mathlib/RingTheory/Jacobson/Ideal.lean,Mathlib/RingTheory/Jacobson/Radical.lean,Mathlib/RingTheory/Jacobson/Ring.lean,Mathlib/RingTheory/KrullDimension/Zero.lean,Mathlib/RingTheory/LocalRing/Basic.lean,Mathlib/RingTheory/LocalRing/MaximalIdeal/Basic.lean,Mathlib/RingTheory/PrincipalIdealDomain.lean,Mathlib/RingTheory/SimpleModule/Isotypic.lean,Mathlib/RingTheory/Spectrum/Prime/Basic.lean,Mathlib/Topology/Sets/Closeds.lean |
40 |
2 |
['github-actions', 'plp127'] |
nobody |
18-39718 18 days ago |
18-39778 18 days ago |
18-39443 18 days |
| 40416 |
sparckix author:sparckix |
feat(Order/Monotone): add diagonal subsequence extraction |
This PR adds a small diagonal extraction lemma for nested strictly monotone subsequences of `Nat`.
Given strict-mono maps `φ k : Nat -> Nat` such that each `φ (k + 1)` factors through `φ k` by a strict-mono map `τ k`, the diagonal sequence `fun n => φ n n` is strictly monotone and each tail of the diagonal factors through the corresponding `φ k` by a strict-mono map.
The lemma is intended as a reusable sequence/order fact and is placed near `Nat.exists_strictMono_subsequence`.
Local checks run:
```text
lake env lean Mathlib/Order/Monotone/Basic.lean
lake build Mathlib.Order.Monotone.Basic
lake exe lint-style Mathlib/Order/Monotone/Basic.lean
git diff --check
```
AI assistance disclosure: I used AI tools, including Codex and external model feedback, to help extract and review this small lemma from a local formalization project. I have checked the statement and proof myself and am responsible for the submitted code.
|
t-order
new-contributor
LLM-generated
|
66/0 |
Mathlib/Order/Monotone/Basic.lean |
1 |
2 |
['github-actions'] |
nobody |
18-33398 18 days ago |
18-52180 18 days ago |
18-51831 18 days |
| 40438 |
tb65536 author:tb65536 |
feat(RingTheory/Spectrum/Prime/Basic): pointwise action on prime spectrum |
This PR defines the pointwise action on the prime spectrum.
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|
t-ring-theory
t-algebra
label:t-algebra$ |
15/0 |
Mathlib/RingTheory/Spectrum/Prime/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
18-26367 18 days ago |
18-26415 18 days ago |
18-26066 18 days |
| 38957 |
wwylele author:wwylele |
chore(GroupTheory/DivisibleHull): remove `backward.privateInPublic` |
---
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|
tech debt
t-group-theory
|
5/12 |
Mathlib/GroupTheory/DivisibleHull.lean |
1 |
13 |
['Komyyy', 'github-actions', 'grunweg', 'jcommelin', 'wwylele'] |
nobody |
18-20248 18 days ago |
33-19089 33 days ago |
47-10690 47 days |
| 38498 |
SnirBroshi author:SnirBroshi |
feat(Order/RelIso/Basic): lift a function to an order morphism into `Relation.Map` or from `Function.onFun` |
For an `α`-relation `r` we have:
```
mapRelHom (f : α → β) : r →r Relation.Map r f f
mapRelEmbedding (f : α ↪ β) : r ↪r Relation.Map r f f
mapRelIso (f : α ≃ β) : r ≃r Relation.Map r f f
```
For a `β`-relation `r` we have:
```
onFunRelHom (f : α → β) : r.onFun f →r r
onFunRelEmbedding (f : α ↪ β) : r.onFun f ↪r r
onFunRelIso (f : α ≃ β) : r.onFun f ≃r r
```
---
These are pretty similar to `SimpleGraph.{Embedding/Iso}.map` and `SimpleGraph.{Hom/Embedding/Iso}.comap`, as [`comap`](https://github.com/leanprover-community/mathlib4/blob/9268b22206b0425419498769f780a91dee03bcf3/Mathlib/Combinatorics/SimpleGraph/Maps.lean#L117-L118) on graphs is a wrapper around `onFun`, and [`map`](https://github.com/leanprover-community/mathlib4/blob/9268b22206b0425419498769f780a91dee03bcf3/Mathlib/Combinatorics/SimpleGraph/Maps.lean#L57-L58) on graphs is *almost* a wrapper around `Relation.Map`.
btw `@[simps]` is angry at me when I try to use it on the structures that use spread syntax.
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|
t-order |
42/0 |
Mathlib/Order/RelIso/Basic.lean |
1 |
1 |
['github-actions'] |
bryangingechen assignee:bryangingechen |
18-18531 18 days ago |
64-8034 64 days ago |
64-7685 64 days |
| 39294 |
Sfgangloff author:Sfgangloff |
feat(SymbolicDynamics): prove LanguageOn monotonicity under intersection |
In symbolic dynamics.
This PR proves that taking the language over a finite shape is monotone with respect to intersections of configuration sets:
```math
\mathrm{LanguageOn}(X \cap Y)\, U
\subseteq
\mathrm{LanguageOn}\, X\, U \cap \mathrm{LanguageOn}\, Y\, U
```
The proof is a direct unfolding of definitions: a pattern in the language of `X ∩ Y` comes from restricting a configuration `x ∈ X ∩ Y`. Since such an `x` belongs simultaneously to `X` and `Y`, the same restriction witness gives membership both in `LanguageOn X U` and in `LanguageOn Y U`, yielding membership in their intersection.
Related to issue #39252 |
t-dynamics
new-contributor
|
9/1 |
Mathlib/Dynamics/SymbolicDynamics/Basic.lean |
1 |
2 |
['github-actions'] |
urkud assignee:urkud |
18-18526 18 days ago |
45-74136 45 days ago |
45-73787 45 days |
| 40392 |
felixpernegger author:felixpernegger |
chore(MeasureTheory/Integral/Lebesgue/Basic): fix an `erw` |
Extracted from #40348.
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|
t-measure-probability
tech debt
|
11/1 |
Mathlib/Data/ENNReal/Operations.lean,Mathlib/MeasureTheory/Integral/Lebesgue/Basic.lean |
2 |
1 |
['github-actions'] |
EtienneC30 assignee:EtienneC30 |
18-18521 18 days ago |
18-77560 18 days ago |
18-77211 18 days |
| 40394 |
mathlib-splicebot author:mathlib-splicebot |
chore(MeasureTheory/Measure/Haar/InnerProductSpace: remove an `erw` |
Extracted from #40348. |
t-measure-probability
tech debt
|
7/6 |
Mathlib/MeasureTheory/Measure/Haar/InnerProductSpace.lean |
1 |
4 |
['felixpernegger', 'github-actions'] |
RemyDegenne assignee:RemyDegenne |
18-18521 18 days ago |
18-76956 18 days ago |
18-76607 18 days |
| 40402 |
felixpernegger author:felixpernegger |
chore(MeasureTheory/Integral): remove an `erw` |
Extracted from #40348. Note we cannot just do `simp_all [...]`
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|
t-measure-probability |
3/2 |
Mathlib/MeasureTheory/Integral/RieszMarkovKakutani/NNReal.lean |
1 |
1 |
['github-actions'] |
kex-y assignee:kex-y |
18-18520 18 days ago |
18-72371 18 days ago |
18-72022 18 days |
| 40405 |
felixpernegger author:felixpernegger |
chore(MeasureTheory/Group): remove an erw |
Extracted from #40348
---
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[](https://gitpod.io/from-referrer/)
|
t-measure-probability |
3/1 |
Mathlib/MeasureTheory/Group/GeometryOfNumbers.lean |
1 |
1 |
['github-actions'] |
EtienneC30 assignee:EtienneC30 |
18-18519 18 days ago |
18-70967 18 days ago |
18-70618 18 days |
| 40409 |
felixpernegger author:felixpernegger |
chore(MeasureTheory/Measure/Prod): remove an `erw` |
Extracted from #40348
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|
t-measure-probability |
5/3 |
Mathlib/MeasureTheory/Measure/Prod.lean |
1 |
1 |
['github-actions'] |
kex-y assignee:kex-y |
18-18516 18 days ago |
18-69725 18 days ago |
18-69376 18 days |
| 40400 |
seewoo5 author:seewoo5 |
feat(Algebra/Order/Floor): hermite identity for floor function |
---
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[Hermite's identity](https://en.wikipedia.org/wiki/Hermite%27s_identity) for floor function. Usually stated over real numbers, but it also holds for "floor field". Initially done by Claude Opus 4.7, and later golfed by myself. Proved as a part of personal project.
[](https://gitpod.io/from-referrer/)
|
t-algebra
LLM-generated
label:t-algebra$ |
82/0 |
Mathlib.lean,Mathlib/Algebra/Order/Floor/Hermite.lean |
2 |
5 |
['b-mehta', 'github-actions'] |
nobody |
18-11982 18 days ago |
18-11982 18 days ago |
18-68268 18 days |
| 38190 |
AntoineChambert-Loir author:AntoineChambert-Loir |
refactor(Topology/Sion): use a dense and continuous completion to generalize the statements |
Use the existence of a dense and continuous completion to simplify the final part of the proof of Sion's theorem.
As a matter of fact, only an early lemma needs to be modified and the rest holds in weaker assumptions,
leading to a serious simplification.
Since the PR proving Sion is very recent and unused, we didn't add deprecation lemmas.
---
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- [ ] depends on: #37939
[](https://gitpod.io/from-referrer/)
|
|
51/125 |
Mathlib/Order/Completion.lean,Mathlib/Topology/Sion.lean |
2 |
11 |
['AntoineChambert-Loir', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
17-80431 17 days ago |
19-50257 19 days ago |
19-49947 19 days |
| 38916 |
yuanyi-350 author:yuanyi-350 |
chore(CategoryTheory/CatCommSq): remove an erw |
- rewrites `hInv_hInv` by using `conv_rhs` with `iso_hom_naturality`
- removes the `rw`/`erw` pair around `Functor.comp_map`
Extracted from #38415
[](https://gitpod.io/from-referrer/) |
codex
LLM-generated
|
5/11 |
Mathlib/CategoryTheory/CatCommSq.lean |
1 |
2 |
['github-actions', 'loefflerd'] |
nobody |
17-58546 17 days ago |
54-70578 54 days ago |
54-70229 54 days |
| 40472 |
karlesmarin author:karlesmarin |
feat(Combinatorics/SimpleGraph): oriented incidence matrix and the La… |
# feat(Combinatorics/SimpleGraph): oriented incidence matrix and the Laplacian factorization
## Summary
Adds the **oriented incidence matrix** of a simple graph and the standard **Gram factorization
of the graph Laplacian**:
- **`SimpleGraph.orientedIncMatrix R : Matrix α (Sym2 α) R`** — in the column of an edge
`e = s(u, w)` with `u < w`: `+1` at row `w` (the larger endpoint), `-1` at row `u`, `0`
elsewhere; columns of non-edges are zero. Orientation induced by a `LinearOrder` on the
vertex type.
- **`SimpleGraph.orientedIncMatrix_mul_transpose`** — `N * Nᵀ = G.lapMatrix R` (= `D − A`).
- Supporting API mirroring `incMatrix`: `orientedIncMatrix_apply`,
`orientedIncMatrix_of_notMem_incidenceSet`, `orientedIncMatrix_mul_self`
(the square of an entry is the unoriented `incMatrix` entry), and the two sign lemmas
`orientedIncMatrix_apply_mul_apply_of_adj` (product of the two endpoint entries = `-1`),
`orientedIncMatrix_apply_add_apply_of_adj` (their sum = `0`), plus
`orientedIncMatrix_apply_mul_apply_of_ne` (vanishing away from the common edge).
## Why
Mathlib has the unoriented `G.incMatrix`, whose Gram matrix is the **signless** Laplacian
`D + A` (`incMatrix_mul_transpose_diag` ff.), and it has `G.lapMatrix = D − A` with its kernel
theory — but no object connecting the two. The oriented incidence matrix is that object, and
`N Nᵀ = D − A` is the factorization behind: positive semidefiniteness of the Laplacian as a
Gram fact, Kirchhoff/matrix-tree determinant arguments (via Cauchy–Binet on the reduced
factorization), and total unimodularity of incidence matrices.
## Design notes
- The fixed smaller→larger orientation is harmless: any orientation gives the same Gram matrix
(each edge contributes `(±1)²` on the diagonal and `(+1)(−1)` off it). This is stated in the
module docstring; no orientation-genericity machinery is introduced.
- The headline proof is entrywise: the diagonal reduces to `sum_incMatrix_apply` (= degree)
through `orientedIncMatrix_mul_self`; an off-diagonal `(u, w)` entry is supported on the
single column `s(u, w)`, handled by `Finset.sum_eq_single` and the sign lemmas.
- `[Ring R]` for the API section (signs need negation); the definition itself only needs
`[Zero R] [One R] [Neg R]`.
## Files / placement
- `Mathlib/Combinatorics/SimpleGraph/OrientedIncMatrix.lean` (new)
- `Mathlib.lean` (+1 import line)
## Verification
- `lake env lean` on the file: clean, zero warnings.
- `#print axioms SimpleGraph.orientedIncMatrix_mul_transpose` → 3 standard axioms.
- The factorization and the downstream matrix-tree chain were validated numerically in exact
arithmetic (SageMath) before formalization.
Downstream context: DOI [10.5281/zenodo.20629746](https://doi.org/10.5281/zenodo.20629746).
|
new-contributor
LLM-generated
|
157/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/OrientedIncMatrix.lean |
2 |
1 |
['github-actions'] |
nobody |
17-45587 17 days ago |
17-50664 17 days ago |
17-50408 17 days |
| 39514 |
SnirBroshi author:SnirBroshi |
chore(RingTheory/Polynomial/Basic): golf `degreeLTEquiv` |
Also extracts the `monomial i a ∈ degreeLT R n` proof to a lemma.
---
The semicolons might be a bit excessive, let me know if so.
Also the `right_inv` proof is slower than the previous version, so maybe it should be reverted, but the rest is fine.
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|
t-ring-theory |
11/32 |
Mathlib/RingTheory/Polynomial/Basic.lean |
1 |
2 |
['chrisflav', 'github-actions'] |
chrisflav assignee:chrisflav |
17-45473 17 days ago |
17-45491 17 days ago |
41-4336 41 days |
| 37295 |
wwylele author:wwylele |
feat(Analysis/InnerProductSpace): generalized determinant of a rectangle matrix / linear map |
This is the volume factor of a linear map
---
I have encountered the expression `sqrt(det(T' * T))` a few times in various places but it doesn't look like it has a standard name and entry in mathlib, so this adds it.
Zulip thread [#Is there code for X? > (norm of) "determinant" of map between inner product spaces](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/.28norm.20of.29.20.22determinant.22.20of.20map.20between.20inner.20product.20spaces/with/581776873)
One motivation to define this is to state volume formula under transformations. From *Measure theory and fine properties of functions*:
- Lemma 3.1: for linear map $L : \mathbb{R}^n \to \mathbb{R}^m$, we have $\mathcal{H}^n(L(A)) = [ L ] \mathcal{L}^n(A)$. This is proved in this PR at `euclideanHausdorffMeasure_image_eq_normDet_mul_volume`
- Theorem 3.8, for (not necessarily linear) $f : \mathbb{R}^n \to \mathbb{R}^m$ ($n \le m$) and $\mathcal{L}^n$-measurable set $A \subset \mathbb{R}^n$, we have $\int_A J f dx = \int_{\mathbb{R}^m} \mathcal{H}^0(A \cap f\^{-1}\{y\}) d\mathcal{H}^n(y)$, where $J f$ is the `normDet` of the rectangular Jacobian matrix
AI usage disclosure: AI was used in the following parts
- searching for related literature for an appropriate name
- generate draft proofs for some lemma to verify their correctness, though the final code has been completely rewritten by me.
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[](https://gitpod.io/from-referrer/)
|
t-analysis |
474/0 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/NormDet.lean,docs/references.bib |
3 |
21 |
['copilot-pull-request-reviewer', 'github-actions', 'j-loreaux', 'mathlib-dependent-issues', 'mathlib-splicebot', 'themathqueen', 'wwylele'] |
urkud assignee:urkud |
17-18972 17 days ago |
17-19780 17 days ago |
88-29697 88 days |
| 38587 |
dagurtomas author:dagurtomas |
feat(Tactic/CategoryTheory): concrete category boilerplate |
Adds `mk_concrete_category`, a command for generating the initial boilerplate for concrete categories whose morphisms are given by a bundled function type.
The command creates the wrapper `Hom` type, named category and concrete category instances, `ofHom`, `Hom.hom`, and the basic dsimp lemmas.
It handles parameterized categories such as `ModuleCat`, and has a paired additive/multiplicative form for generating both structures at once (e.g. `MonCat`/`AddMonCat`).
Includes test categories checking the generated declarations.
[](https://gitpod.io/from-referrer/)
|
LLM-generated
t-meta
t-category-theory
|
905/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/CategoryTheory/MkConcreteCategory.lean,MathlibTest/CategoryTheory/MkConcreteCategory.lean |
4 |
8 |
['dagurtomas', 'eric-wieser', 'github-actions'] |
kim-em assignee:kim-em |
17-18344 17 days ago |
52-9794 52 days ago |
52-10206 52 days |
| 38612 |
SnirBroshi author:SnirBroshi |
feat(Order/SuccPred/CompleteLinearOrder): `sSup s < x` iff theorems when we know if `x` is a successor pre-limit or not |
Adds the following theorems (along with their duals and indexed versions):
```lean
sSup_lt_iff_of_not_isSuccPrelimit : ¬IsSuccPrelimit x → sSup s < x ↔ ∀ a ∈ s, a < x
le_sSup_iff_of_not_isSuccPrelimit : ¬IsSuccPrelimit x → x ≤ sSup s ↔ ∃ a ∈ s, x ≤ a
Order.IsSuccPrelimit.sSup_lt_iff : IsSuccPrelimit x → sSup s < x ↔ ∃ a < x, ∀ b ∈ s, b < a
Order.IsSuccPrelimit.le_sSup_iff : IsSuccPrelimit x → x ≤ sSup s ↔ ∀ a < x, ∃ b ∈ s, a ≤ b
```
They are similar to these existing theorems, but not the same:
```lean
sSup_lt_iff : sSup s < x ↔ ∃ a < x, ∀ b ∈ s, b ≤ a
le_sSup_iff_forall_lt : x ≤ sSup s ↔ ∀ a < x, ∃ b ∈ s, a < b
```
---
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|
t-order |
43/0 |
Mathlib/Order/SuccPred/CompleteLinearOrder.lean |
1 |
6 |
['SnirBroshi', 'github-actions', 'vihdzp'] |
bryangingechen assignee:bryangingechen |
17-18343 17 days ago |
25-44355 25 days ago |
60-80803 60 days |
| 39239 |
alainchmt author:alainchmt |
feat(FieldTheory/Finite): irreducible polynomial divides X^q^n - X iff degree divides n |
---
Add the theorem saying that, for an irreducible polynomial `f` over a finite field `K`, the degree of `f` divides `n` if and only if `f` divides `X ^ (Nat.card K) ^ n - X`. Include auxiliary lemmas.
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
34/0 |
Mathlib/FieldTheory/Finite/Extension.lean,Mathlib/FieldTheory/Minpoly/Field.lean |
2 |
2 |
['github-actions'] |
kim-em assignee:kim-em |
17-18342 17 days ago |
46-75012 46 days ago |
46-74663 46 days |
| 40389 |
YaelDillies author:YaelDillies |
feat(MeasureTheory): the average of a sum of functions |
and other basic lemmas about `average`
From MeanFourier
---
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[](https://gitpod.io/from-referrer/)
|
t-measure-probability |
88/24 |
Mathlib/Analysis/Convex/Integral.lean,Mathlib/MeasureTheory/Integral/Average.lean |
2 |
5 |
['EtienneC30', 'YaelDillies', 'github-actions'] |
EtienneC30 assignee:EtienneC30 |
17-18336 17 days ago |
17-83895 17 days ago |
18-14148 18 days |
| 40448 |
ChiCubed author:ChiCubed |
feat(LinearAlgebra/Dimension): tower law for algebraic extensions |
We generalise the tower law for `Module.rank` to the situation of a module over an algebraic extension of domains.
---
See [the Zulip thread](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Tower.20law.20for.20.60Module.2Erank.60/) for some associated discussion.
I am not sure about in which file these results should live, or what their names should be. For the file I have gone with `LinearAlgebra/Dimension/Algebraic.lean` for now, because these feel more like dimension theorems than `Algebra.IsAlgebraic` theorems, and IMO do not logically fit into the other existing files in `LinearAlgebra/Dimension`.
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
110/3 |
Mathlib.lean,Mathlib/LinearAlgebra/Dimension/Algebraic.lean,Mathlib/LinearAlgebra/Dimension/Free.lean |
3 |
4 |
['ChiCubed', 'eric-wieser', 'github-actions'] |
nobody |
17-703 17 days ago |
18-242 17 days ago |
17-86293 17 days |
| 40326 |
eric-wieser author:eric-wieser |
feat(Data/Multiset): add the Multiset version of `List.find?` |
This is often more convenient (and computationally more efficient) than using `Multiset.choose`, since it avoids us having to do a preliminary pass over the set to determine if any elements satisfy the predicate.
While it doesn't make any difference since `Finsupp` is (currently) noncomputable, we use this to implement `Finsupp.embDomain` more simply.
The motivation for this def is to efficiently define `DFinsupp.embDomain`.
---
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- [x] depends on: #40325
[](https://gitpod.io/from-referrer/)
|
t-data |
139/23 |
Mathlib.lean,Mathlib/Data/Finset/Basic.lean,Mathlib/Data/Finsupp/Basic.lean,Mathlib/Data/Finsupp/Defs.lean,Mathlib/Data/Multiset/Basic.lean,Mathlib/Data/Multiset/Find.lean,Mathlib/Data/Set/Subsingleton.lean |
7 |
13 |
['NoahW314', 'YaelDillies', 'eric-wieser', 'github-actions', 'mathlib-dependent-issues'] |
nobody |
16-83750 16 days ago |
18-34051 18 days ago |
18-34632 18 days |
| 33543 |
JovanGerb author:JovanGerb |
feat: use `to_dual` for `HeytingAlgebra` |
This PR adds `to_dual` for `HeytingAlgebra`, `BiheytingAlgebra`, `GeneralizedHeytingAlgebra`.
There is a bit of friction around dualizing `compl` to `hnot`, because this means that theorems about `compl` in boolean algebras will not be able to be translated nicely with `to_dual`. This should not be that many theorems, so this is acceptable.
See also https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Dualize.20sdiff.20and.20himp/with/599261487
Aligning the `Heyting` and `Coheyting` API is kind of awkward, because they are unfortunately quite different. One reason is that the arguments of `sup`/`inf` are often swapped in the dual version, which is not compatible with `to_dual`. I've worked around this with extensive use of `to_dual none`.
There are quite some lemmas that in my eyes seem unnecessary, such as `le_sup_sdiff_sup_sdiff`, but I haven't removed any in this PR.
---
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|
t-algebra label:t-algebra$ |
193/390 |
Mathlib/Combinatorics/SetFamily/Kleitman.lean,Mathlib/Data/Finset/Lattice/Fold.lean,Mathlib/Order/Basic.lean,Mathlib/Order/BooleanAlgebra/Basic.lean,Mathlib/Order/Disjoint.lean,Mathlib/Order/GaloisConnection/Basic.lean,Mathlib/Order/Heyting/Basic.lean,Mathlib/Order/Notation.lean |
8 |
14 |
['JovanGerb', 'github-actions', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'vihdzp'] |
bryangingechen and mattrobball assignee:bryangingechen assignee:mattrobball |
16-65689 16 days ago |
16-66894 16 days ago |
34-9169 34 days |
| 40502 |
metakunt author:metakunt |
feat(RingTheory/RootsOfUnits/PrimitiveRoots): pow_div_gcd |
From #39404 |
t-ring-theory |
13/11 |
Mathlib/RingTheory/RootsOfUnity/PrimitiveRoots.lean |
1 |
2 |
['github-actions', 'tb65536'] |
nobody |
16-53265 16 days ago |
16-54147 16 days ago |
16-54371 16 days |
| 40468 |
BoltonBailey author:BoltonBailey |
feat(Data/Nat/Choose/Multinomial): add positivity support |
This PR adds `positivity` tactic support for `Multiset.multinomial`, by adding a `_pos` theorem and an extension.
This was done as a part of Project Numina's LeanTriathlon project. AI was used as an assistant in the creation of this PR.
---
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|
t-data |
24/0 |
Mathlib/Data/Nat/Choose/Multinomial.lean |
1 |
1 |
['github-actions'] |
nobody |
16-43436 16 days ago |
16-44390 16 days ago |
16-44073 16 days |
| 40520 |
Julian-Kuelshammer author:Julian-Kuelshammer |
feat(CategoryTheory/Linear): linear Yoneda and coYoneda are linear |
Mathlib/CategoryTheory/Linear/Basic.lean:
Adds an instance that the opposite category of a linear category is linear.
Mathlib/CategoryTheory/Linear/Yoneda.lean:
Adds instances that the linearYoneda and linearcoYoneda are linear functors, which was a TODO before.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
large-import
|
27/2 |
Mathlib/CategoryTheory/Linear/Basic.lean,Mathlib/CategoryTheory/Linear/Yoneda.lean |
2 |
3 |
['github-actions'] |
nobody |
16-29560 16 days ago |
16-30996 16 days ago |
16-31180 16 days |
| 38225 |
kim-em author:kim-em |
ci: block merging PRs with large import increases unless reviewed |
This PR makes the existing `large-import` label into a merge gate. PRs that significantly increase transitive imports (>2% for any modified file) are now blocked from merging until a reviewer adds the `allow-large-import` label.
### Why three labels?
Bors's `block_labels` has no conditional logic — if a label is in the list, merge is blocked unconditionally. We need "blocked unless a reviewer has approved", i.e. `large-import ∧ ¬allow-large-import`. Since bors can't express that, we use a derived label:
| Label | Managed by | Purpose |
|---|---|---|
| `large-import` | `build` job (import analysis) | Factual: this PR increases imports |
| `blocked-by-large-import` | `check-large-import` job | Operational: blocks bors |
| `allow-large-import` | Reviewer | Override: reviewer approves the increase |
Each label is managed by exactly one actor, so there is no label-fighting.
### How it works
1. The existing `build` job adds/removes `large-import` based on import analysis (unchanged).
2. A new `check-large-import` job (in the same workflow) waits for `build` to finish, then:
- If `large-import` is present and `allow-large-import` is absent → adds `blocked-by-large-import`
- Otherwise → removes `blocked-by-large-import`
3. `blocked-by-large-import` is added to `block_labels` in `bors.toml`.
When a reviewer adds `allow-large-import`, the `labeled` event re-triggers the workflow. The heavy `build` job is skipped (guarded by `github.event.action != 'labeled'`), but the lightweight `check-large-import` job runs, sees both labels, and removes `blocked-by-large-import`. Bors can now merge.
### Reviewer workflow
The CI failure message tells the reviewer to consider whether the PR could be improved by splitting files, rearranging material, or creating new intermediate files. If the import increase is reasonable, they add `allow-large-import`.
False positives can be reported on the [mathlib4 Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/large-import.20label).
🤖 Prepared with Claude Code |
CI |
78/2 |
.github/workflows/PR_summary.yml,bors.toml |
2 |
7 |
['SnirBroshi', 'github-actions', 'jcommelin', 'joneugster', 'kim-em'] |
nobody |
16-20247 16 days ago |
68-24997 68 days ago |
68-25266 68 days |
| 38488 |
b-mehta author:b-mehta |
feat(Data/Finset/Card): iterating a function's image on a finite set stabilises |
...and does so in a bounded number of steps (which is why this is Finset-specific).
In a later PR, I'll add this for endofunctions on a fintype, as well as add a Set.Finite version.
---
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|
t-data |
35/0 |
Mathlib/Data/Finset/Card.lean,Mathlib/Data/Finset/Image.lean |
2 |
17 |
['SnirBroshi', 'b-mehta', 'github-actions'] |
eric-wieser assignee:eric-wieser |
16-18149 16 days ago |
33-48819 33 days ago |
64-23863 64 days |
| 40497 |
Scarlett-le author:Scarlett-le |
feat(Geometry/Euclidean): unoriented angle addition along a ray |
This PR adds two lemmas to `Mathlib/Geometry/Euclidean/Triangle.lean` describing
how the unoriented angle at a point splits across a segment.
* `angle_add_angle_eq_of_sbtw`: if `x` lies strictly between `a` and `c`, then
`∠ a p x + ∠ x p c = ∠ a p c`, with no nondegeneracy hypothesis on the apex `p`.
This complements the existing `angle_add_of_ne_of_ne`: that lemma allows weak
betweenness of the foot but requires `p ≠ a` and `p ≠ c`, whereas here strict
betweenness already supplies enough nondegeneracy to drop both hypotheses on `p`.
* `angle_add_angle_eq_of_sbtw_of_sameRay`: the same decomposition when `b` lies on
the same ray from `p` as a point `x` strictly between `a` and `c`, i.e.
`∠ a p b + ∠ b p c = ∠ a p c`. |
t-euclidean-geometry |
29/0 |
Mathlib/Geometry/Euclidean/Triangle.lean |
1 |
1 |
['github-actions'] |
jsm28 assignee:jsm28 |
16-18146 16 days ago |
17-17028 17 days ago |
17-16679 17 days |
| 40535 |
smmercuri author:smmercuri |
feat: notation for adele rings |
Notation:
- `K∞` : `NumberField.InfiniteAdeleRing K`;
- `𝔸ᶠ[R, K]`: `IsDedekindDomain.FiniteAdeleRing R K`;
- `𝔸[R, K]` : `NumberField.AdeleRing R K`;
- specialisations `𝔸ᶠ[K]` and `𝔸[K]` to `R = RingOfIntegers K`.
---
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|
|
44/36 |
Mathlib/NumberTheory/NumberField/AdeleRing.lean,Mathlib/NumberTheory/NumberField/InfiniteAdeleRing.lean,Mathlib/RingTheory/DedekindDomain/FiniteAdeleRing.lean |
3 |
1 |
['github-actions'] |
nobody |
15-81215 15 days ago |
15-82071 15 days ago |
15-81722 15 days |
| 40319 |
yuanyi-350 author:yuanyi-350 |
chore(Algebra/Star/Module): remove an erw |
- rewrites `StarModule.decomposeProdAdjoint` by making the subtype definitions explicit in `dsimp only` before `simp`
Extracted from #40147 |
codex
t-algebra
LLM-generated
label:t-algebra$ |
2/2 |
Mathlib/Algebra/Star/Module.lean |
1 |
3 |
['github-actions', 'grunweg', 'yuanyi-350'] |
nobody |
15-72556 15 days ago |
15-73491 15 days ago |
15-74096 15 days |
| 40479 |
thefundamentaltheor3m author:thefundamentaltheor3m |
feat(LinearAlgebra/AffineSpace/Simplex/Standard): Define the standard $n$-simplex as an `Affine.Simplex` |
In this PR, we define a basis-dependent construction of an affine simplex, using which we define the standard $n$-simplex in `Fin n → k` in terms of `Pi.basisFun`.
The main constructions are `Affine.Simplex.mkOfAffineBasis` and `Affine.Simplex.mkOfBasis`. The former constructs a simplex from any affine basis of an affine space and the latter constructs an affine simplex in a vector space viewed as an affine space. We then relate the construction to `stdSimplex`, defined in `Analysis.Convex.StdSimplex`.
---
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[](https://gitpod.io/from-referrer/)
|
LLM-generated
new-contributor
|
199/0 |
Mathlib.lean,Mathlib/LinearAlgebra/AffineSpace/Basis.lean,Mathlib/LinearAlgebra/AffineSpace/Simplex/Standard.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean |
4 |
3 |
['github-actions', 'wwylele'] |
nobody |
15-18414 15 days ago |
15-31847 15 days ago |
15-31498 15 days |
| 40473 |
karlesmarin author:karlesmarin |
feat(LinearAlgebra/Matrix): the Cauchy-Binet formula |
Adds the Cauchy–Binet formula. For `A : Matrix m n R` and `B : Matrix n m R` over a commutative ring, `det (A * B)` is the sum, over the `Fintype.card m`-element subsets `S` of `n`, of the product of the two maximal minors selected by `S`.
Main results:
* `Matrix.det_mul_eq_sum_det_submatrix_mul_prod` — the Leibniz-type expansion of `det (A * B)` over all index functions `g : m → n`.
* `Matrix.det_mul_cauchyBinet` — the Cauchy–Binet formula.
The proof expands over all `g : m → n`, discards the non-injective ones, and groups the rest by image.
|
|
199/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Matrix/Determinant/CauchyBinet.lean |
2 |
4 |
['github-actions', 'karlesmarin', 'wwylele', 'yuanyi-350'] |
nobody |
14-79275 14 days ago |
17-50664 17 days ago |
17-50425 17 days |
| 37848 |
rwst author:rwst |
feat(RingTheory/PowerSeries/Log): log and exp as inverses |
This adds the lemmas `exp_subst_log` and `log_subst_exp_sub_one`, together with two helpers needed for the proofs.
Note: I'm using Claude + Opus for supervised formalization tasks. Claude has no permission to use git on my machine.
-[ ] depends on #40571
---
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory
LLM-generated
|
91/0 |
Mathlib/RingTheory/PowerSeries/Log.lean,Mathlib/RingTheory/PowerSeries/Substitution.lean |
2 |
17 |
['chrisflav', 'github-actions', 'rwst', 'yuanyi-350'] |
mattrobball assignee:mattrobball |
14-57800 14 days ago |
14-57800 14 days ago |
78-18693 78 days |
| 40495 |
gw90 author:gw90 |
feat: weighted graphs with killing term |
Adding basic definitions and API for weighted graphs and weighted graphs with killing term.
---
My goal is to develop the basic theory from the beginning of [this textbook](https://www.math.uni-potsdam.de/fileadmin/user_upload/Prof-GraphTh/Keller/KellerLenzWojciechowski_GraphsAndDiscreteDirichletSpaces_wu_version.pdf). I also have some definitions and lemmas regarding Dirichlet forms and Laplacians to PR later, but I tried to pare down this first PR as much as possible. It currently has only 4 main definitions and sufficient API to demonstrate their correctness.
Note that I did not use [SimpleGraph.edgeLabeling](https://leanprover-community.github.io/mathlib4_docs/find/?pattern=SimpleGraph.EdgeLabeling#doc) for the edgeWeight function because it is important that vertices that are not adjacent have an edge weight of zero. That is, the edgeWeight must be defined for all pairs of vertices and respect the underlying adjacency relation on the graph.
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|
t-combinatorics
new-contributor
|
368/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Weighted/Basic.lean,docs/references.bib |
3 |
2 |
['github-actions'] |
nobody |
14-33175 14 days ago |
16-18810 16 days ago |
16-18461 16 days |
| 35402 |
samueloettl author:samueloettl |
feat(Dynamics/BirkhoffSum): birkhoffAverage const |
---
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I think this is useful and one of these should be a simp lemma.
I'm not really sure if I got the naming of the theorems correct.
When generalizing to the assumption (n : R) ≠ 0 instead of the special case CharZero R with n ≠ 0 I had to use "open Classical in". I'm a bit unfamiliar with that part so please check if this makes sense. See also https://github.com/leanprover-community/mathlib4/pull/35307#discussion_r2823586252
[](https://gitpod.io/from-referrer/)
|
t-dynamics
new-contributor
|
14/0 |
Mathlib/Dynamics/BirkhoffSum/Average.lean |
1 |
26 |
['Maldooor', 'github-actions', 'lua-vr', 'mcdoll', 'samueloettl'] |
nobody |
14-20246 14 days ago |
59-59596 59 days ago |
125-58060 125 days |
| 38821 |
Jun2M author:Jun2M |
feat(Data/List): rotation of sublist is sublist of rotation |
This PR proves `(∃ L₁ : List α, L ~r L₁ ∧ L₁ <+ L') ↔ (∃ L₂ : List α, L <+ L₂ ∧ L₂ ~r L')`.
---
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|
t-data |
10/0 |
Mathlib/Data/List/Rotate.lean |
1 |
3 |
['SnirBroshi', 'eric-wieser', 'github-actions'] |
TwoFX assignee:TwoFX |
14-18135 14 days ago |
57-38563 57 days ago |
57-38214 57 days |
| 34633 |
mitchell-horner author:mitchell-horner |
feat(Combinatorics/SimpleGraph): define the Zarankiewicz function |
Defines the Zarankiewicz function $z(m, n; s, t)$ in terms of bipartite graphs.
---
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- [x] depends on: #34632
This comes from splitting up #25841 into smaller PRs.
[](https://gitpod.io/from-referrer/)
|
t-combinatorics
maintainer-merge
|
164/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Extremal/Zarankiewicz.lean,Mathlib/Combinatorics/SimpleGraph/Maps.lean |
3 |
30 |
['SnirBroshi', 'YaelDillies', 'b-mehta', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mitchell-horner'] |
nobody |
14-6990 14 days ago |
14-7800 14 days ago |
93-38159 93 days |
| 28685 |
mitchell-horner author:mitchell-horner |
feat(Combinatorics/SimpleGraph): prove the minimal-degree version of the Erdős-Stone theorem |
Proves the minimal degree-version of the Erdős-Stone theorem:
If `G` has a minimal degree of at least `(1 - 1 / r + o(1)) * card V`, then `G` contains a copy of a `completeEquipartiteGraph` in `r + 1` parts each of size `t`.
The double-counting construction from the proof is available in `namespace ErdosStone`.
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- [x] depends on: #28443
- [x] depends on: #28445
- [x] depends on: #28446
- [x] depends on: #28447
This is the first of several pull requests towards the full Erdős-Stone(-Simonovits) theorem, hence the name of the file.
[](https://gitpod.io/from-referrer/) |
t-combinatorics
maintainer-merge
|
329/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Extremal/ErdosStoneSimonovits.lean |
2 |
19 |
['YaelDillies', 'b-mehta', 'github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'mitchell-horner', 'robin-carlier'] |
nobody |
14-6271 14 days ago |
14-7136 14 days ago |
115-24722 115 days |
| 40568 |
yuanyi-350 author:yuanyi-350 |
doc: note Steinhaus theorem in `1000.yaml` |
[MeasureTheory.Measure.div_mem_nhds_one_of_haar_pos](https://leanprover-community.github.io/mathlib4_docs/Mathlib/MeasureTheory/Measure/Haar/Basic.html#MeasureTheory.Measure.div_mem_nhds_one_of_haar_pos)
---
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|
documentation
easy
t-measure-probability
|
3/1 |
docs/1000.yaml |
1 |
4 |
['felixpernegger', 'github-actions', 'grunweg', 'yuanyi-350'] |
kex-y assignee:kex-y |
13-76929 13 days ago |
15-9696 15 days ago |
15-9347 15 days |
| 40575 |
gasparattila author:gasparattila |
chore(MeasureTheory/SetSemiring): golf some proofs |
The constructions which are defined using choice are unexposed and redefined to allow for these simplifications.
---
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|
t-measure-probability |
176/284 |
Mathlib/MeasureTheory/SetSemiring.lean |
1 |
8 |
['gasparattila', 'github-actions', 'grunweg'] |
kex-y assignee:kex-y |
13-71958 13 days ago |
14-39859 14 days ago |
14-39549 14 days |
| 38086 |
dagurtomas author:dagurtomas |
feat(CategoryTheory): composition of profunctors |
---
- [x] depends on: #38085
- [x] depends on: #38382
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|
t-category-theory |
345/2 |
Mathlib.lean,Mathlib/CategoryTheory/Profunctor/Basic.lean,Mathlib/CategoryTheory/Profunctor/Comp.lean |
3 |
19 |
['adamtopaz', 'dagurtomas', 'github-actions', 'mathlib-dependent-issues', 'mathlib-splicebot', 'robin-carlier'] |
robin-carlier assignee:robin-carlier |
13-29568 13 days ago |
15-58447 15 days ago |
43-29142 43 days |
| 40296 |
RemyDegenne author:RemyDegenne |
feat: define `HasCoveringExponent` |
This PR adds a definition `HasCoveringExponent`, that states that a set has a covering number that satisfies a certain bound at all scales.
---
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[](https://gitpod.io/from-referrer/)
|
t-topology
brownian
t-measure-probability
|
97/0 |
Mathlib.lean,Mathlib/Topology/MetricSpace/CoveringExponent.lean |
2 |
1 |
['github-actions'] |
urkud assignee:urkud |
13-17986 13 days ago |
21-56245 21 days ago |
21-55896 21 days |
| 40345 |
imalinowskip author:imalinowskip |
feat(Probability): Cramér-Wold |
|
t-measure-probability
new-contributor
|
78/0 |
Mathlib.lean,Mathlib/Probability/CramerWold.lean |
2 |
21 |
['felixpernegger', 'github-actions', 'imalinowskip', 'mathlib-merge-conflicts', 'wwylele'] |
RemyDegenne assignee:RemyDegenne |
13-17985 13 days ago |
13-82804 13 days ago |
14-19886 14 days |
| 40612 |
kim-em author:kim-em |
feat: add Jacobian challenge based test for new `def_wanted` feature |
This PR adds tests for the new features introduced in batteries#1818, i.e. `def_wanted`, and the ability to safely refer to other `*_wanted` statements from within a `*_wanted` statement. We use the Jacobian challenge as the example. |
|
86/0 |
MathlibTest/JacobianChallenge.lean |
1 |
1 |
['github-actions'] |
nobody |
13-7104 13 days ago |
13-10565 13 days ago |
13-10216 13 days |
| 38141 |
Jun2M author:Jun2M |
feat(Order/Partition): the partition induced by a symmetric transitive relation |
We introduce a constructor for Partition from a symmetric, transitive relation, with `copy` function baked into the definition.
Co-authored-by: Peter Nelson <apn.uni@gmail.com>
---
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|
t-order |
43/8 |
Mathlib/Order/Partition/Basic.lean |
1 |
5 |
['SnirBroshi', 'YaelDillies', 'github-actions'] |
YaelDillies assignee:YaelDillies |
12-82599 12 days ago |
13-38720 13 days ago |
71-63542 71 days |
| 39307 |
FordUniver author:FordUniver |
feat(Combinatorics/SimpleGraph/Copy): introduce `UnlabeledCopy` carrier subtype |
Adds `abbrev UnlabeledCopy A B := {B' : B.Subgraph // Nonempty (A ≃g B'.coe)}` and uses it to replace the previous inline filter-set body of `copyCount G H`. Drops the now unused legacy Finset-image bridge `copyCount_eq_card_image_copyToSubgraph`. Adds `uniqueUnlabeledCopyBot` instance so `copyCount_bot` is a one-liner via `Fintype.card_unique`.
Co-authored-by: Malte Jackisch <45597826+MaltyBlanket@users.noreply.github.com>
---
**Step 1/5 of the `Copy` / `InducedCopy` refactor-feat stack.**
This PR isolates the `UnlabeledCopy` type introduction and the count's type-form redefinition from the larger rename/convention work in the rest of the stack. Note that resolving the current clash in naming (`Copy` and `UnlabeledCopy` vs `labelledCopyCount` and `copyCount`) is part of #38745.
|
t-combinatorics
maintainer-merge
|
32/30 |
Mathlib/Combinatorics/SimpleGraph/Copy.lean |
1 |
9 |
['FordUniver', 'SnirBroshi', 'YaelDillies', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts', 'mitchell-horner'] |
nobody |
12-81280 12 days ago |
33-84771 33 days ago |
44-7161 44 days |
| 30109 |
scholzhannah author:scholzhannah |
feat: the subcomplexes of a (relative classical) CW complex form a completely distributive lattice |
In this PR we prove that the space of subcomplexes `Subcomplex C` of a (relative classical) CW complex `C` is a `CompletelyDistribLattice`.
---
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[](https://gitpod.io/from-referrer/)
|
t-topology |
313/0 |
Mathlib/Topology/CWComplex/Classical/Subcomplex.lean |
1 |
28 |
['ADedecker', 'github-actions', 'j-loreaux', 'mathlib-merge-conflicts', 'scholzhannah'] |
alreadydone assignee:alreadydone |
12-77348 12 days ago |
12-78157 12 days ago |
69-76057 69 days |
| 40532 |
tb65536 author:tb65536 |
feat(Combinatorics/Hypergraph/Basic): define linear hypergraphs |
This PR defines linear hypergraphs (hypergraphs where any two edges share at most one vertex).
---
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
15/0 |
Mathlib/Combinatorics/Hypergraph/Basic.lean |
1 |
6 |
['SnirBroshi', 'github-actions', 'tb65536'] |
nobody |
12-76789 12 days ago |
15-51213 15 days ago |
16-7430 16 days |
| 40531 |
tb65536 author:tb65536 |
feat(Combinatorics/Hypergraph/Coloring): define hypergraph colorings |
This PR defines hypergraph colorings and the chromatic index of a hypergraph.
---
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|
t-combinatorics |
66/0 |
Mathlib.lean,Mathlib/Combinatorics/Hypergraph/Coloring/Edge.lean |
2 |
4 |
['SnirBroshi', 'b-mehta', 'github-actions', 'tb65536'] |
nobody |
12-69128 12 days ago |
12-70001 12 days ago |
13-31385 13 days |
| 40368 |
Sanghyeok0 author:Sanghyeok0 |
feat: add confluence predicates for relations |
This PR adds relation-level predicates for confluence-style properties:
* `Relation.Diamond`
* `Relation.Confluent`
* `Relation.ChurchRosser`
* `Relation.StronglyConfluent`
It also adds basic API connecting these predicates:
* `Relation.ReflTransGen.to_eqvGen`
* `Relation.Join.to_eqvGen`
* `Relation.StronglyConfluent.confluent`
* `Relation.ChurchRosser.confluent`
* `Relation.Confluent.churchRosser`
* `Relation.StronglyConfluent.churchRosser`
* `Relation.confluent_iff_churchRosser`
The terminology follows standard usage in abstract rewriting systems, including the diamond property, confluence, the Church-Rosser property, and strong confluence.
The existing theorem `Relation.church_rosser` is kept unchanged. In terms of the new predicates, its hypothesis is `Relation.StronglyConfluent r`, and its conclusion is `Relation.Confluent r`. This PR therefore adds `Relation.StronglyConfluent.confluent` as the corresponding named API while preserving the existing declaration.
References: the Wikipedia pages on abstract rewriting systems and confluence, and *Gröbner Bases: A Computational Approach to Commutative Algebra*.
---
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|
t-logic
new-contributor
|
92/3 |
Mathlib/Logic/Relation.lean |
1 |
7 |
['Sanghyeok0', 'chenson2018', 'github-actions'] |
nobody |
12-67544 12 days ago |
19-40232 19 days ago |
19-39883 19 days |
| 40128 |
wwylele author:wwylele |
chore(LinearAlgebra/Matrix): avoid defeq abuse in cRank |
The previous definition of cRank uses Matrix as a function to the parameter of Set.range. This causes difficulties in downstream proofs when unfolding and applying lemmas. The new definition uses col to explicitly convert from Matrix to function.
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|
t-algebra
tech debt
maintainer-merge
label:t-algebra$ |
18/13 |
Mathlib/LinearAlgebra/Matrix/Defs.lean,Mathlib/LinearAlgebra/Matrix/Rank.lean |
2 |
22 |
['SnirBroshi', 'eric-wieser', 'github-actions', 'themathqueen', 'wwylele'] |
themathqueen assignee:themathqueen |
12-63640 12 days ago |
12-64627 12 days ago |
14-22314 14 days |
| 40425 |
felixpernegger author:felixpernegger |
chore(MeasureTheory/MeasurableSpace/Constructions): remove defEq abuse |
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|
t-measure-probability
large-import
|
11/7 |
Mathlib/Data/ENat/Basic.lean,Mathlib/MeasureTheory/MeasurableSpace/Constructions.lean |
2 |
3 |
['felixpernegger', 'github-actions'] |
EtienneC30 assignee:EtienneC30 |
12-53040 12 days ago |
18-44463 18 days ago |
18-45184 18 days |
| 40639 |
metakunt author:metakunt |
feat(Combinatorics/MixedGraph): adds mixed graphs and some example API |
This PR is intended to gather some feedback. I'd like to introduce mixed graphs into mathlib as a generalisation of the graph api.
I didn't know whether to change the API of the graphs so I experimented a bit and ported some results as a proof of concept.
Zulip discussion: https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Mixed.20multigraphs/with/602794133
|
t-combinatorics |
186/0 |
Mathlib.lean,Mathlib/Combinatorics/Mixedgraph/Basic.lean |
2 |
2 |
['github-actions'] |
nobody |
12-52068 12 days ago |
12-52931 12 days ago |
12-53065 12 days |
| 40624 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Finite): `Set.ncard` of `neighborSet` |
Since #39414 the simpNF of the cardinality of `neighborSet` uses `Set.ncard` rather than `Fintype.card`, therefore we import `Set.ncard` into `SimpleGraph/Finite.lean` and show `(G.neighborSet v).ncard = G.degree v`.
Also includes some other results that benefit from the import/lemma:
- `(commonNeighbors ⊤ u v).encard = ENat.card V - 2`
- `(G.map f).degree (f v) = G.degree v` for an injective `f`
- `G'.degree (f v) = G.degree v` for `f : G ↪g G'`, given `G'.neighborSet (f v) ⊆ Set.range f`
---
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|
t-combinatorics
large-import
|
30/7 |
Mathlib/Combinatorics/SimpleGraph/Finite.lean,Mathlib/Combinatorics/SimpleGraph/IncMatrix.lean,Mathlib/Combinatorics/SimpleGraph/Subgraph.lean |
3 |
1 |
['github-actions'] |
nobody |
12-51640 12 days ago |
12-71800 12 days ago |
12-71451 12 days |
| 40408 |
felixpernegger author:felixpernegger |
chore(MeasureTheory/Measure/Lebesgue/EqHaar): remove an `erw` |
Extracted from #40348
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|
t-measure-probability |
4/2 |
Mathlib/MeasureTheory/Measure/Lebesgue/EqHaar.lean |
1 |
4 |
['felixpernegger', 'github-actions', 'j-loreaux', 'mathlib-bors'] |
RemyDegenne assignee:RemyDegenne |
12-46758 12 days ago |
12-47542 12 days ago |
13-25914 13 days |
| 39474 |
emlis42 author:emlis42 |
feat(Topology/Separation/Hausdorff): add `Filter.limUnder_congr` |
This PR adds `Filter.limUnder_congr` and some lemmas about `limUnder`.
`Filter.limUnder_congr` allows rewriting `limUnder` expressions using equivalences of convergence behavior, without proving the filters actually converge, allowing convergence proofs to be carried out on more convenient expressions latter. |
t-topology
new-contributor
large-import
|
24/1 |
Mathlib/Order/Filter/AtTopBot/Archimedean.lean,Mathlib/Topology/Separation/Hausdorff.lean |
2 |
2 |
['github-actions'] |
mcdoll assignee:mcdoll |
12-17924 12 days ago |
42-40087 42 days ago |
42-39738 42 days |
| 40587 |
dennj author:dennj |
feat(MeasureTheory): weaken hypotheses on the continuity-multiplication and xˢ·exp(-xᵖ) integrability lemmas |
This is a generalization PR:
- IntervalIntegrable.{smul_continuousOn, continuousOn_smul} and the LocallyIntegrableOn analogues now need only IsBoundedSMul 𝕜 E instead of NormSMulClass 𝕜 E.
- integrableOn_rpow_mul_exp_neg_rpow / …_mul_rpow are generalized from 1 ≤ p to 0 < p (via u = xᵖ), matching the 0 < p of integral_rpow_mul_exp_neg_rpow.
Both follow from reproving these lemmas through the existing Integrable.bdd_mul/bdd_smul (since IntegrableOn f s μ = Integrable f (μ.restrict s)), which also makes the IntegrableOn.*_continuousOn(_of_subset) helpers redundant; they're removed. |
t-measure-probability
new-contributor
|
54/105 |
Mathlib/Analysis/SpecialFunctions/Gamma/Basic.lean,Mathlib/Analysis/SpecialFunctions/Gaussian/GaussianIntegral.lean,Mathlib/MeasureTheory/Function/LocallyIntegrable.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/Basic.lean |
4 |
5 |
['CoolRmal', 'dennj', 'github-actions'] |
kex-y assignee:kex-y |
12-17921 12 days ago |
13-84546 13 days ago |
13-84197 13 days |
| 40648 |
felixpernegger author:felixpernegger |
chore(MeasureTheory/MeasurableSpace/Constructions): remove some defeq abuse |
---
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|
|
7/2 |
Mathlib/MeasureTheory/MeasurableSpace/Constructions.lean,Mathlib/Order/Disjointed.lean |
2 |
2 |
['github-actions', 'wwylele'] |
nobody |
12-17077 12 days ago |
12-19864 12 days ago |
12-19533 12 days |
| 40650 |
felixpernegger author:felixpernegger |
chore: replace (d)simp +instances with (d)simp whenever possible |
---
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|
6/11 |
Mathlib/Algebra/Category/CoalgCat/ComonEquivalence.lean,Mathlib/Algebra/Category/ModuleCat/Sheaf/PullbackFree.lean,Mathlib/AlgebraicGeometry/IdealSheaf/Basic.lean,Mathlib/CategoryTheory/Galois/Topology.lean,Mathlib/CategoryTheory/Localization/Trifunctor.lean,Mathlib/CategoryTheory/Sites/Over.lean,Mathlib/GroupTheory/IsSubnormal.lean |
7 |
1 |
['github-actions'] |
nobody |
12-14448 12 days ago |
12-15219 12 days ago |
12-14870 12 days |
| 37190 |
cjrl author:cjrl |
feat(Combinatorics): set-valued pigeonhole principle |
This PR contributes two theorems to combinatorics:
- `exists_lt_card_cover_of_card_biUnion_lt_card` is a set-valued version of the pigeonhole principle.
- `sum_card_eq_sum_card_cover_biUnion` is a set theoretic corollary of a double counting result proved for bipartite graphs (`Finset.sum_card_bipartiteAbove_eq_sum_card_bipartiteBelow`). This was needed to prove the above pigeonhole principle.
The motivation for these results is our Latin Square PR #36698. These results were proved in less general terms in that PR, but are independent of Latin Square considerations and so we have generalized and moved them into more relevant files.
---
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new-contributor
t-combinatorics
maintainer-merge
|
39/0 |
Mathlib/Combinatorics/Enumerative/DoubleCounting.lean,Mathlib/Combinatorics/Pigeonhole.lean |
2 |
27 |
['IvanRenison', 'YaelDillies', 'cjrl', 'ghseeli', 'github-actions', 'j-loreaux', 'vlad902'] |
nobody |
11-58923 11 days ago |
11-58923 11 days ago |
91-37473 91 days |
| 38531 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Paths): `Walk.map` preserves more properties |
Adds some missing theorems about how `Walk.map` behaves with `IsTrail`/`IsPath`/`IsCircuit`/`IsCycle`.
Summary of what we have now, with the 8 new theorems and 8 renames marked:
```
IsTrail.of_map : (p.map f).IsTrail → p.IsTrail -- new
isTrail_map_iff_of_injective : f.Injective → (p.map f).IsTrail ↔ p.IsTrail -- renamed from map_isTrail_iff_of_injective
IsTrail.map : f.Injective → p.IsTrail → (p.map f).IsTrail -- renamed from map_isTrail_of_injective
IsPath.of_map : (p.map f).IsPath → p.IsPath
isPath_map_iff_of_injective : f.Injective → (p.map f).IsPath ↔ p.IsPath -- renamed from map_isPath_iff_of_injective
IsPath.map : f.Injective f → p.IsPath → (p.map f).IsPath -- renamed from map_isPath_of_injective
IsCircuit.of_map : (p.map f).IsCircuit → p.IsCircuit -- new
isCircuit_map_iff_of_injective : f.Injective → (p.map f).IsCircuit ↔ p.IsCircuit -- new
IsCircuit.map : f.Injective → p.IsCircuit → (p.map f).IsCircuit -- new
IsCycle.of_map : (p.map f).IsCycle → p.IsCycle -- new
isCycle_map_iff_of_injective : f.Injective → (p.map f).IsCycle ↔ p.IsCycle -- renamed from map_isCycle_iff_of_injective
IsCycle.map : f.Injective → p.IsCycle → (p.map f).IsCycle
isTrail_mapLe : G ≤ G' → (p.mapLe h).IsTrail ↔ p.IsTrail -- renamed from mapLe_isTrail
IsTrail.of_mapLe : G ≤ G' → (p.mapLe h).IsTrail → p.IsTrail
IsTrail.mapLe : G ≤ G' → p.IsTrail → (p.mapLe h).IsTrail
isPath_mapLe : G ≤ G' → (p.mapLe h).IsPath ↔ p.IsPath -- renamed from mapLe_isPath
IsPath.of_mapLe : G ≤ G' → (p.mapLe h).IsPath → p.IsPath
IsPath.mapLe : G ≤ G' → p.IsPath → (p.mapLe h).IsPath
isCircuit_mapLe : G ≤ G' → (p.mapLe h).IsCircuit ↔ p.IsCircuit -- new
IsCircuit.of_mapLe : G ≤ G' → (p.mapLe h).IsCircuit → p.IsCircuit -- new
IsCircuit.mapLe : G ≤ G' → p.IsCircuit → (p.mapLe h).IsCircuit -- new
isCycle_mapLe : G ≤ G' → (p.mapLe h).IsCycle ↔ p.IsCycle -- renamed from mapLe_isCycle
IsCycle.of_mapLe : G ≤ G' → (p.mapLe h).IsCycle → p.IsCycle
IsCycle.mapLe : G ≤ G' → p.IsCycle → (p.mapLe h).IsCycle
```
---
Also golfs `map_isPath_of_injective`/`IsPath.of_map`/`map_isTrail_iff_of_injective`, they don't need induction.
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|
t-combinatorics
maintainer-merge
|
76/44 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Paths.lean |
2 |
3 |
['YaelDillies', 'github-actions'] |
nobody |
11-57244 11 days ago |
11-61089 11 days ago |
63-28734 63 days |
| 38528 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Paths): some cycle lemmas are true for circuits |
Add `IsCircuit.{not_of_nil,ne_bot,three_le_length}` by using their corresponding `IsCycle` proofs.
Also golfs a bit.
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t-combinatorics
maintainer-merge
|
15/13 |
Mathlib/Combinatorics/SimpleGraph/Girth.lean,Mathlib/Combinatorics/SimpleGraph/Paths.lean |
2 |
4 |
['SnirBroshi', 'YaelDillies', 'github-actions'] |
nobody |
11-57196 11 days ago |
11-58227 11 days ago |
63-47080 63 days |
| 40668 |
JovanGerb author:JovanGerb |
chore(Tactic/Linarith/Parsing): remove local abbrev for `TreeMap` |
We can now write `TreeMap`, and `Ord.compare` is filled in automatically.
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t-meta
maintainer-merge
|
7/10 |
Mathlib/Tactic/Linarith/Parsing.lean |
1 |
3 |
['github-actions', 'grunweg'] |
nobody |
11-49156 11 days ago |
11-63982 11 days ago |
11-63633 11 days |
| 40626 |
chenson2018 author:chenson2018 |
feat(Logic/Relation): some `EqvGen` API |
This is adapted from #40606 and existing lemmas in CSLib. I move two theorems (`Equivalence.eqvGen_iff` and `Equivalence.eqvGen_eq`) earlier for a better proof of `EqvGen.lift'` that matches what is done for other closures.
Co-authored-by: Dagur Asgeirsson <dagurtomas@gmail.com>
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|
t-logic |
60/14 |
Mathlib/Logic/Relation.lean |
1 |
4 |
['chenson2018', 'github-actions', 'plp127'] |
nobody |
11-32969 11 days ago |
12-71255 12 days ago |
12-70906 12 days |
| 38975 |
ldct author:ldct |
feat(EReal): Add equations for EReal |
Add equational lemmas for the simplifier to simplify `[natural number literal] + ⊤` in `EReal`, and add a test file in `MathlibTest/EReal.lean`.
Without these lemmas, `simp` fails to close many of the goals in `MathlibTest/EReal.lean`. I believe simp should close all of them.
An alternative is to add something like this as a simp lemma, to allow `top_add_of_ne_bot` to make progress, but it's not clear to me that this is desirable as a simp lemma, since it's not equational
```
example {n : ℕ} [n.AtLeastTwo] : (ofNat(n) : EReal) ≠ ⊤ := by
exact Ne.symm (not_eq_of_beq_eq_false rfl)
```
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t-data |
32/0 |
Mathlib/Data/EReal/Operations.lean,MathlibTest/EReal.lean |
2 |
2 |
['github-actions', 'vihdzp'] |
eric-wieser assignee:eric-wieser |
11-18022 11 days ago |
53-27433 53 days ago |
53-27084 53 days |
| 40445 |
jjdishere author:jjdishere |
chore(Topology/Algebra/UniformMulAction): fix name style |
In this PR, we rename some instances that does not follow the Mathlib naming convention.
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t-topology
t-algebra
easy
label:t-algebra$ |
3/3 |
Mathlib/Topology/Algebra/UniformMulAction.lean |
1 |
6 |
['github-actions', 'jjdishere', 'ocfnash'] |
alreadydone assignee:alreadydone |
11-18013 11 days ago |
17-63699 17 days ago |
18-4148 18 days |
| 40651 |
Scarlett-le author:Scarlett-le |
feat: signed power of a point and dimension-free power-of-a-point converses |
This PR reworks the converse direction of the power of a point in `Mathlib/Geometry/Euclidean/Sphere/Power.lean` to be dimension-free, and adds the converse of the intersecting secants theorem.
Main additions:
* `Sphere.inner_vsub_vsub_eq_power`: the signed power `⟪a -ᵥ p, b -ᵥ p⟫` of a point
`p` on a secant line through `a, b ∈ s` is exactly `s.power p`; this unifies the
chord and secant cases without splitting on the sign.
* `Sphere.mem_of_inner_vsub_vsub_eq_power_of_mem_line`: a one-secant converse.
* `cospherical_of_inner_vsub_eq_inner_vsub`: a dimension-free converse to the power
of a point, stated with the signed invariant.
* `cospherical_of_mul_dist_eq_mul_dist_of_angle_eq_zero`: the converse of the
intersecting secants theorem (new).
Main change:
* `cospherical_of_mul_dist_eq_mul_dist_of_angle_eq_pi` (converse of the intersecting
chords theorem) is reproved via `cospherical_of_inner_vsub_eq_inner_vsub`, going
through the circumsphere of the triangle `{p₁, p₂, p₃}`. It no longer reduces to
the 2D case, so the `[Fact (finrank ℝ V = 2)]` / `[Module.Oriented ℝ V (Fin 2)]`
machinery, the private auxiliary lemma, and the `AffineIsometry` embedding into the
affine span are all removed. The statement is unchanged.
Imports `Mathlib.Geometry.Euclidean.Angle.Sphere` and
`Mathlib.Geometry.Euclidean.Similarity` are dropped; `Mathlib.Geometry.Euclidean.Circumcenter`
is added. |
t-euclidean-geometry |
139/92 |
Mathlib/Geometry/Euclidean/Angle/Unoriented/Affine.lean,Mathlib/Geometry/Euclidean/Sphere/Power.lean |
2 |
1 |
['github-actions'] |
jsm28 assignee:jsm28 |
11-18010 11 days ago |
12-14472 12 days ago |
12-14144 12 days |
| 40683 |
dennj author:dennj |
feat(Analysis/Matrix): prove Hadamard's determinant inequality |
This PR adds Hadamard's maximal determinant inequality: a real matrix with entries bounded by `1` in absolute value has determinant at most the Hadamard bound.
This is the classical extremal theorem behind Hadamard matrices. The equality case is also proved, so `Matrix.IsHadamard` is characterized as exactly the matrices attaining the maximal determinant. This turns the existing Hadamard matrix API into the solution of its natural optimization problem, rather than only an algebraic definition.
The proof also adds a few small reusable pieces of API connecting matrix rows with Euclidean-space determinants, Gram-Schmidt equality cases, and row-orthogonality recognition of Hadamard matrices. |
|
255/0 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/GramSchmidtOrtho.lean,Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Analysis/Matrix/HadamardInequality.lean,Mathlib/LinearAlgebra/Matrix/HadamardMatrix.lean |
5 |
2 |
['github-actions', 'wwylele'] |
nobody |
11-13849 11 days ago |
11-31877 11 days ago |
11-31528 11 days |
| 40689 |
pechersky author:pechersky |
feat(Algebra/Group/WithOne): isFooCancel when source is |
requires that source has no idempotent elements
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t-algebra label:t-algebra$ |
37/0 |
Mathlib/Algebra/Group/WithOne/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
11-13729 11 days ago |
11-14537 11 days ago |
11-14199 11 days |
| 40687 |
michaellee94 author:michaellee94 |
feat(Analysis/ODE): uniqueness of integral curves on intervals and intersections |
Adds some uniqueness lemmas for integral curves of a Lipschitz vector field, proved via Grönwall's inequality. Split out from #26413 (existence of maximal solutions). |
t-analysis
new-contributor
|
87/0 |
Mathlib/Analysis/ODE/ExistUnique.lean |
1 |
2 |
['github-actions'] |
mcdoll assignee:mcdoll |
11-12872 11 days ago |
11-17520 11 days ago |
11-17171 11 days |
| 40688 |
pechersky author:pechersky |
feat(Algebra/Group/WithOne): Subsingleton when IsEmpty source |
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Also for `OnePoint`. I chose `Subsingleton` because I didn't want to create a clashing `Unique` which might be present for Monoid subsingletons. Fine to switch if suggested. |
|
13/0 |
Mathlib/Algebra/Group/WithOne/Defs.lean,Mathlib/Topology/Compactification/OnePoint/Basic.lean |
2 |
2 |
['github-actions'] |
nobody |
11-12015 11 days ago |
11-14673 11 days ago |
11-14345 11 days |
| 40582 |
dennj author:dennj |
feat(Analysis): the one-sided Laplace transform |
Introducing Laplace transform `ℒ(f)(s) = ∫ t in Ioi 0, exp (-s * t) • f t`
It is needed in physlib
I modelled the file following Mellin transform.
## Main definitions
* `LaplaceConvergent f s`: the Laplace integral is well-defined at `s`.
* `laplace f s`: the Laplace transform, a total function
* `HasLaplace f s m`: convergence together with the value `m`.
## Main results
* Linearity: `laplace_add`/`sub`/`const_smul`/`neg`/`zero`/`div_const`, at the `laplace`, `LaplaceConvergent`, and `HasLaplace` levels.
* `laplaceConvergent_iff_norm`, `norm_laplace_le_integral_norm`: reduction of convergence and norm bounds to the real exponential weight.
* `laplaceConvergent_of_isBigO_exp`: existence for functions of exponential order, on the appropriate right half-plane.
* `LaplaceConvergent.of_re_le`/`of_re_lt`: monotonicity of convergence in `s.re` (the half-plane structure).
* `laplace_cexp_smul`: the frequency-shift rule.
* `laplace_indicator_comp_sub`: the time-shift rule.
* `laplace_comp_mul_left`/`right`: behaviour under positive dilation.
* `hasLaplace_const`/`hasLaplace_one`/`hasLaplace_cexp`: basic transform values.
Human made PR |
t-measure-probability
new-contributor
|
571/1 |
Mathlib.lean,Mathlib/Analysis/LaplaceTransform.lean,Mathlib/MeasureTheory/Function/StronglyMeasurable/AEStronglyMeasurable.lean,Mathlib/MeasureTheory/Group/Measure.lean,Mathlib/MeasureTheory/Integral/ExpDecay.lean |
5 |
3 |
['github-actions'] |
kex-y assignee:kex-y |
11-10360 11 days ago |
14-7005 14 days ago |
14-14512 14 days |
| 40700 |
YaelDillies author:YaelDillies |
feat(FieldTheory): generalise `Separable.of_algHom` |
From BrauerGroup
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t-algebra label:t-algebra$ |
11/7 |
Mathlib/FieldTheory/Separable.lean |
1 |
1 |
['github-actions'] |
nobody |
10-83591 10 days ago |
10-84700 10 days ago |
10-84351 10 days |
| 38529 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Girth): `egirth ⊤ = 3` when there are at least 3 vertices |
Since `Nontrivial` is not enough, we use the condition `3 ≤ ENat.card α`.
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t-combinatorics
maintainer-merge
|
17/0 |
Mathlib/Combinatorics/SimpleGraph/Girth.lean |
1 |
7 |
['SnirBroshi', 'YaelDillies', 'github-actions', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
10-82931 10 days ago |
21-25591 21 days ago |
61-56539 61 days |
| 40599 |
ChiCubed author:ChiCubed |
feat(LinearAlgebra): rank-nullity theorems for Submodule map/comap |
We show forms of the rank-nullity theorem involving `Submodule.map` and `Submodule.comap`. Together with `LinearMap.ker_comp` this provides a formula for the rank of the kernel of a composite (and, in finite dimensions at least, for the rank of the range).
---
I didn't explicitly write the aforementioned formula for rank ker (f ∘ g) since it is just `LinearMap.ker_comp` followed by `LinearMap.lift_rank_comap`, but perhaps it should be added for discoverability?
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t-algebra
new-contributor
label:t-algebra$ |
58/8 |
Mathlib/Algebra/Module/Submodule/Ker.lean,Mathlib/Algebra/Module/Submodule/Map.lean,Mathlib/Algebra/Module/Submodule/Range.lean,Mathlib/LinearAlgebra/Dimension/RankNullity.lean |
4 |
5 |
['ChiCubed', 'github-actions', 'themathqueen', 'wwylele'] |
nobody |
10-61714 10 days ago |
13-47923 13 days ago |
13-49544 13 days |
| 39793 |
grunweg author:grunweg |
feat: make the `dupNamespace` linter catch any duplicate namespace(s) |
Before this PR, the `dupNamespace` linter would only flag a namespace as duplicate if it was repeated in two consecutive positions: `Foo.Foo.bar` would be linted, but neither `Foo.Bar.Foo.Bar.baz` nor `Foo.Bar.Foo.Baz.baz` would be (even though they are very likely unintentional).
Strengthen the linter check, to error if any namespace component is duplicated.
This has few false positives (which we manually annotate), but catches many pre-existing
cases where the duplication was clearly unintentional and undesirable.
Most of the mathlib adaptation was done in #39794.
---
- [x] depends on: #39794
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|
t-linter
maintainer-merge
|
187/21 |
Mathlib/Algebra/Polynomial/Bivariate.lean,Mathlib/Analysis/InnerProductSpace/JointEigenspace.lean,Mathlib/CategoryTheory/Bicategory/Adjunction/Adj.lean,Mathlib/CategoryTheory/Groupoid/VertexGroup.lean,Mathlib/CategoryTheory/Subobject/Classifier/Defs.lean,Mathlib/Data/Set/FiniteExhaustion.lean,Mathlib/Geometry/Manifold/VectorBundle/MDifferentiable.lean,Mathlib/GroupTheory/Submonoid/Inverses.lean,Mathlib/LinearAlgebra/FreeModule/Basic.lean,Mathlib/Logic/Equiv/Set.lean,Mathlib/NumberTheory/NumberField/Completion/FinitePlace.lean,Mathlib/NumberTheory/NumberField/InfinitePlace/Basic.lean,Mathlib/Order/Filter/Germ/Basic.lean,Mathlib/RingTheory/Etale/Basic.lean,Mathlib/RingTheory/Finiteness/Basic.lean,Mathlib/RingTheory/TensorProduct/Maps.lean,Mathlib/Tactic/Linter/Lint.lean,MathlibTest/Lint.lean |
18 |
51 |
['SnirBroshi', 'github-actions', 'grunweg', 'joneugster', 'kim-em', 'leanprover-radar', 'mathlib-dependent-issues', 'thorimur'] |
joneugster and thorimur assignee:joneugster assignee:thorimur |
10-53711 10 days ago |
10-57392 10 days ago |
20-67444 20 days |
| 40723 |
JovanGerb author:JovanGerb |
perf(Algebra/Ring/Defs): improve `NonUnitalSemiring` and `NonAssocSemiring` definitions |
This PR redefines `NonUnitalSemiring` and `NonAssocSemiring` in the same way that `Semiring` was recently redefined, to improve performance.
---
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|
t-algebra label:t-algebra$ |
53/37 |
Mathlib/Algebra/Ring/Defs.lean,Mathlib/Algebra/Ring/Ext.lean |
2 |
3 |
['JovanGerb', 'github-actions', 'leanprover-radar'] |
nobody |
10-44579 10 days ago |
10-45758 10 days ago |
10-45426 10 days |
| 40718 |
JovanGerb author:JovanGerb |
fix(RingTHeory/TwoSidedIdeal/Basic): remove instance with bad outParam |
There are two different instances for `SMulMemClass (TwoSidedIdeal R) _ R`, which violates the fact the fact that the second argument in the class is an `outParam` . So, this PR removes one of the instances.
---
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|
t-ring-theory |
0/3 |
Mathlib/RingTheory/TwoSidedIdeal/Basic.lean |
1 |
6 |
['JovanGerb', 'eric-wieser', 'github-actions', 'grunweg', 'leanprover-radar'] |
nobody |
10-32698 10 days ago |
10-55710 10 days ago |
10-55520 10 days |
| 40453 |
lakesare author:lakesare |
feat(MeasureTheory/Function/EssSup): add iSup_le_essSup, add essSup_le_iSup |
From the Carleson project.
---
**Upstreaming from Carleson: [Carleson/ToMathlib/MeasureTheory/Function/EssSup.lean](https://github.com/fpvandoorn/carleson/blob/master/Carleson/ToMathlib/MeasureTheory/Function/EssSup.lean)**
Changes from the Carleson version:
1. refactored both lemmas
2. `iSup_le_essSup: ⨆ x, f x ≤ essSup f μ` strengthened to `iSup_eq_essSup: ⨆ x, f x = essSup f μ` |
carleson
t-measure-probability
new-contributor
|
18/0 |
Mathlib/MeasureTheory/Function/EssSup.lean |
1 |
10 |
['CoolRmal', 'felixpernegger', 'github-actions', 'lakesare'] |
RemyDegenne assignee:RemyDegenne |
10-29305 10 days ago |
10-32050 10 days ago |
17-81740 17 days |
| 38868 |
JovanGerb author:JovanGerb |
feat(GRewrite): strict rewriting |
This PR makes use of the new `grw` implementation from #38318, to implement strict rewriting. That is, you can now rewrite with a strict inequality to change the relation in the goal from strict to non-strict.
The `gcongr` and `grw` tactics now look up slightly differently in the `gcongrExt` environment extension, because `gcongr` knows the constant on both sides of the relation, while `grw` knows it on only one side. It would be possible to have two separate dictionaries in the environment for these two use cases. However, I have implemented it with just a single dictionary in the environment, as this reduces the overhead of having the environment extension.
Note: in order to make strict rewriting have priority over the old behaviour, `lt_of_lt_of_le` and `lt_of_lt_of_le'` need to be preferred over `le_imp_le_of_le_of_le` and `lt_imp_lt_of_le_of_le`. Luckily this is the case because the former have fewer varying arguments than the latter. So, we don't need to explicitly set a high priority.
---
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|
t-meta |
261/164 |
Mathlib/Algebra/Order/Ring/GeomSum.lean,Mathlib/Analysis/Convex/MetricSpace.lean,Mathlib/Analysis/Convex/StrictCombination.lean,Mathlib/MeasureTheory/Covering/Differentiation.lean,Mathlib/MeasureTheory/Integral/CircleIntegral.lean,Mathlib/Order/Basic.lean,Mathlib/Order/Interval/Set/Basic.lean,Mathlib/Order/SuccPred/Basic.lean,Mathlib/Tactic/GCongr/Core.lean,Mathlib/Tactic/GRewrite/Core.lean,Mathlib/Tactic/GRewrite/Elab.lean,MathlibTest/Tactic/GRewrite.lean |
12 |
10 |
['JovanGerb', 'Vierkantor', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts'] |
Vierkantor assignee:Vierkantor |
10-20211 10 days ago |
10-23416 10 days ago |
20-73744 20 days |
| 38606 |
dennj author:dennj |
feat: preparation for Vanishing Sum of Roots of Unity |
Adds the Mathlib API extensions needed for an upcoming formalization of the Lam-style classification theorem for vanishing sums of roots of unity.
* Mathlib/LinearAlgebra/LinearIndependent/Lemmas.lean
+ `exists_eq_const_of_sum_smul_eq_zero_of_sum_eq_zero_of_linearIndependent`: if `∑ vᵢ = 0` and the first `n-1` of `n` vectors are linearly independent, every linear relation has constant coefficients.
* Mathlib/RingTheory/Radical/NatInt.lean
+ `Nat.totient_eq_div_radical_mul_totient_radical`: Euler's totient splits as `φ(n) = (n / rad n) * φ(rad n)`.
* Mathlib/RingTheory/RootsOfUnity/PrimitiveRoots.lean
+ `IsPrimitiveRoot.sum_range_pow_mul_div_eq_zero_of_dvd`: the `d` evenly-spaced powers of a primitive `k`-th root sum to zero, for `d ∣ k` and `1 < d`.
* Mathlib/NumberTheory/Cyclotomic/LinearDisjoint.lean (new)
+ `IsPrimitiveRoot.linearDisjoint_adjoin_pow_of_coprime`: cyclotomic subfields of coprime orders are linearly disjoint over `ℚ`.
* Mathlib/NumberTheory/Cyclotomic/LinearRelations.lean (new)
+ `IsPrimitiveRoot.coeffs_eq_of_sum_pow_eq_zero_prime_coprime`: in the cyclotomic field of order `p * m` with `p` prime coprime to `m`, any `ℚ⟮ζ^p⟯`-linear relation among powers of `ζ^m` has all coefficients equal.
---
I need these as preparation to start formalizing the theorem:
Let k be a positive integer. If a finite family of complex k-th roots of unity sums to zero, then the size of the family is a non-negative integer combination of the prime divisors of k.
---
Human-made PR with AI used for golfing and documentation |
new-contributor |
219/0 |
Mathlib.lean,Mathlib/LinearAlgebra/LinearIndependent/Lemmas.lean,Mathlib/NumberTheory/Cyclotomic/LinearDisjoint.lean,Mathlib/NumberTheory/Cyclotomic/LinearRelations.lean,Mathlib/RingTheory/Radical/Totient.lean,Mathlib/RingTheory/RootsOfUnity/PrimitiveRoots.lean |
6 |
4 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
10-19602 10 days ago |
10-21652 10 days ago |
18-52951 18 days |
| 27451 |
kckennylau author:kckennylau |
feat(RingTheory/Valuation): define ball, closed ball, and sphere |
*From the 2025 Local Class Field Theory Workshop.*
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|
t-ring-theory |
27/0 |
Mathlib/RingTheory/Valuation/Basic.lean |
1 |
13 |
['JovanGerb', 'github-actions', 'kckennylau', 'mathlib4-merge-conflict-bot', 'pechersky', 'wwylele'] |
jjdishere assignee:jjdishere |
10-18189 10 days ago |
21-82039 21 days ago |
39-47649 39 days |
| 36202 |
vihdzp author:vihdzp |
feat: more theorems on the Cantor normal form |
We also remove some redundant assumptions.
Used in the CGT repo.
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|
t-set-theory |
68/17 |
Mathlib/SetTheory/Ordinal/CantorNormalForm.lean |
1 |
21 |
['SnirBroshi', 'YaelDillies', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
jjdishere assignee:jjdishere |
10-18185 10 days ago |
94-76416 94 days ago |
113-68028 113 days |
| 38601 |
khwilson author:khwilson |
feat(Topology/Semicontinuity/Hemicontinuity): characterizations of hemicontinuous notions |
In the previous PR we introduced two new notions attached to correspondences: having open lower sections and having an open graph. This commit introduces several useful characterizations of these notions and uses them to prove several constructions around hemicontinuous maps
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|
t-topology |
118/24 |
Mathlib/Topology/Semicontinuity/Hemicontinuity.lean |
1 |
12 |
['eric-wieser', 'github-actions', 'j-loreaux', 'khwilson', 'mathlib-dependent-issues'] |
ADedecker assignee:ADedecker |
10-18182 10 days ago |
24-48208 24 days ago |
24-48864 24 days |
| 39110 |
SnirBroshi author:SnirBroshi |
chore(Data/Set): reduce defeq abuse of `Set α = α → Prop` |
These are among the first places that would fail if `Set α` wasn't defeq to `α → Prop`.
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t-data |
35/20 |
Mathlib/Data/Set/Basic.lean,Mathlib/Data/Set/Defs.lean,Mathlib/Data/Set/Insert.lean,Mathlib/Data/Set/Prod.lean,Mathlib/Order/BooleanAlgebra/Set.lean |
5 |
25 |
['SnirBroshi', 'Vierkantor', 'github-actions', 'leanprover-radar', 'mathlib-bors', 'themathqueen', 'urkud', 'vihdzp'] |
TwoFX assignee:TwoFX |
10-18179 10 days ago |
42-75279 42 days ago |
48-76330 48 days |
| 39585 |
chrisflav author:chrisflav |
chore(RingTheory): add `rfl` lemmas for `Ideal.quotientInfRingEquivPiQuotient` |
From Pi1.
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|
t-ring-theory |
11/0 |
Mathlib/RingTheory/Ideal/Quotient/Operations.lean |
1 |
2 |
['felixpernegger', 'github-actions'] |
jjdishere assignee:jjdishere |
10-18176 10 days ago |
39-49025 39 days ago |
39-48676 39 days |
| 39663 |
Raph-DG author:Raph-DG |
feat(Topology): A spectral map between quasi-separated, prespectral sober spaces has compact fibers |
In this PR, we develop some API around the constructible topology, culminating in the fact that a spectral map between quasi-separated, prespectral sober spaces has compact fibers. To see why this might be of interest, note that the analogous theorem in algebraic geometry (that a quasiseparated map between schemes has quasicompact fibers) does not require any global separatedness assumptions, and the proof of this is very algebraic. So we have the somewhat mysterious situation that it seems as though there are nontrvial topological restrictions on the kinds of spectral maps which can be the underlying maps of morphisms of schemes.
This PR was originally part of #26304, a PR on pushforwards of algebraic cycles. This is where the notion of compactness of fibers becomes relevant, as this guarantees each coefficient of the pushforward of a cycle is computed by a finite sum.
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|
t-topology
large-import
|
178/6 |
Mathlib/Topology/Compactness/Compact.lean,Mathlib/Topology/Constructible.lean,Mathlib/Topology/Defs/Induced.lean,Mathlib/Topology/Maps/Proper/Basic.lean,Mathlib/Topology/Spectral/ConstructibleTopology.lean,Mathlib/Topology/WithTopology.lean |
6 |
4 |
['Raph-DG', 'chrisflav', 'github-actions'] |
ADedecker assignee:ADedecker |
10-18175 10 days ago |
16-61844 16 days ago |
21-45537 21 days |
| 40191 |
kebekus author:kebekus |
feat: extended canonical decomposition |
Establish the Extended Canonical Decomposition of meromorphic functions, where a complex-meromorphic function `f` on a closed disk is written, up to modification over a discrete set, as a product of a non-vanishing analytic function, canonical factors and meromorphic functions of the form `(x - const) ^ n` where `const` is on the circumference of the disk.
This extended decomposition is key in the proof of the classic Poisson-Jensen formula.
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|
large-import
t-analysis
|
154/8 |
Mathlib/Algebra/BigOperators/Finprod.lean,Mathlib/Analysis/Complex/CanonicalDecomposition.lean,Mathlib/Topology/DiscreteSubset.lean |
3 |
10 |
['github-actions', 'j-loreaux', 'kebekus'] |
ADedecker assignee:ADedecker |
10-18171 10 days ago |
18-1761 18 days ago |
23-78951 23 days |
| 40410 |
seewoo5 author:seewoo5 |
feat(DihedralGroup): center of $D_n$ for even $n\ne 2$ |
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For even $n \ne 2$, center of $D_n$ is generated by the rotation `r (n/2)`. This is a companion of `center_eq_bot_of_odd_ne_one` proved in #33971. Initial code & further golfing is done by Claude Opus 4.5.
[](https://gitpod.io/from-referrer/)
|
t-algebra
LLM-generated
t-group-theory
label:t-algebra$ |
41/0 |
Mathlib/GroupTheory/SpecificGroups/Dihedral.lean |
1 |
11 |
['SnirBroshi', 'github-actions', 'plp127', 'seewoo5'] |
riccardobrasca assignee:riccardobrasca |
10-18168 10 days ago |
18-3749 18 days ago |
18-65417 18 days |
| 40653 |
peabrainiac author:peabrainiac |
feat(Geometry/Manifold/Vectorbundle): the action of `𝕜` on the total space of a Cⁿ `𝕜`-vector bundle is Cⁿ |
Prove that for every Cⁿ `𝕜`-vector bundle `E`, the action of `𝕜` on `Bundle.TotalSpace F E` via scalar multiplication is Cⁿ too. As an application, we generalise a few lemmas on $C^n$ sections from sections of vector bundles to sections of bundles with a $C^n$ fibrewise action, and prove that the space `Cₛ^n⟮I; F, V⟯` of sections of a vector bundle is not just a vector space over `𝕜` but also compatibly a module over the ring `C^n⟮I, M; 𝕜⟯` of smooth functions.
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t-differential-geometry |
158/41 |
Mathlib.lean,Mathlib/Data/Bundle.lean,Mathlib/Geometry/Manifold/PartitionOfUnity.lean,Mathlib/Geometry/Manifold/VectorBundle/Algebra.lean,Mathlib/Geometry/Manifold/VectorBundle/ContMDiffSection.lean,Mathlib/Geometry/Manifold/VectorBundle/CovariantDerivative/Basic.lean,Mathlib/Geometry/Manifold/VectorBundle/LocalFrame.lean |
7 |
1 |
['github-actions'] |
PatrickMassot assignee:PatrickMassot |
10-18165 10 days ago |
12-8999 12 days ago |
12-8840 12 days |
| 38198 |
JovanGerb author:JovanGerb |
chore(Data/Real/Basic): `no_expose` the private operations |
This PR puts `no_expose` on all of the operations on `Real` that are defined in terms of quotients. This is a step in the direction of not exposing the definiton of `Real`.
Note that I leave the `irreducible_def`s as is. This is because the `simpNF` linter does not participate in the module system, and it would time out otherwise. Additionally, downstream users may not be using the module system.
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t-data |
11/31 |
Mathlib/Data/Real/Basic.lean,Mathlib/Topology/Algebra/Valued/NormedValued.lean |
2 |
12 |
['JovanGerb', 'eric-wieser', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts'] |
TwoFX assignee:TwoFX |
10-10050 10 days ago |
10-20006 10 days ago |
70-18316 70 days |
| 40322 |
yuanyi-350 author:yuanyi-350 |
chore(Algebra/Category/ModuleCat/Adjunctions): remove an `erw` |
I found that `μIso_inv_freeMk` can be proved using `finsuppTensorFinsupp'_symm_single_eq_single_one_tmul R X Y z 1`. However, the term doesn't match the statement exactly and carries a risk of defeq abuse. Therefore, I took a few lines to rewrite it to match the goal exactly, so the final `exact this` is completely safe.
This is human-discovered, no LLM involved.
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|
t-algebra label:t-algebra$ |
1/3 |
Mathlib/Algebra/Category/ModuleCat/Adjunctions.lean |
1 |
4 |
['ADedecker', 'Vierkantor', 'github-actions', 'themathqueen'] |
nobody |
10-9622 10 days ago |
10-10582 10 days ago |
20-49466 20 days |
| 35255 |
vlad902 author:vlad902 |
feat(SimpleGraph): `cycleGraph` is contained in every graph with a cycle |
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|
t-combinatorics
maintainer-merge
|
34/0 |
Mathlib/Combinatorics/SimpleGraph/Circulant.lean |
1 |
4 |
['YaelDillies', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
9-83585 9 days ago |
60-35477 60 days ago |
60-36075 60 days |
| 40741 |
AntoineduFresne author:AntoineduFresne |
feat(order): dilworth's and mirsky's theorems for finite orders |
I add Dilworth's theorem and its order dual, Mirsky's theorem, for finite subsets of a partial order, together with the order-theoretic lemmas they rest on.
A prior external formalization by Vlad Tsyrklevich is linked from `1000.yaml`; this is an independent `Finset`-based development using Galvin's proof, and I agreed the `1000.yaml` update with him.
I split the min-max content, as for Hall's marriage theorem, into a weak-duality inequality and a strong-duality existence of a matching pair, so I never define an extremal quantity over families of sets (no `Finset.min'` / `Finset.max'`):
- `dilworth` / `mirsky` — an antichain and a chain cover (resp. a chain and an antichain cover) of equal size;
- `antichain_le_chain_cover` / `chain_le_antichain_cover` — the weak-duality inequalities, for an arbitrary relation;
- `dilworth_partition` / `mirsky_partition` — the same with a pairwise-disjoint partition.
For Dilworth I use Galvin's induction (gluing step `chainCover_glue`); I avoid the König /
bipartite-matching route since König isn't in Mathlib yet (at least last time I checked). I prove Mirsky directly (peeling off minimal elements) rather than via `OrderDual`, since the direct induction seems simpler to me and the two proofs already share their foundations (the closure lemmas and the injective weak dualities).
Internally I work with an injection `f : α → Finset α` on the antichain rather than with the
`Finset (Finset α)` cover directly, so distinctness of the chains comes from the antichain property instead of a separate bookkeeping.
## Questions I'd like input on
1. Explicit min-max? I give weak duality plus a matching pair, from which "largest antichain = smallest chain cover" follows; I do not state that equality as a single theorem (doing so would, I think, mean defining the extremal quantities I wanted to avoid). Would you also like an explicit min-max statement?
2. Two layers of weak duality. I expose it twice: an injective form (`IsAntichain.exists_injOn_mem_chains`, over an arbitrary relation and an arbitrary index type, no finiteness) and a `Finset` cardinality form (`antichain_le_chain_cover`), the latter a one-line specialization of the former. I'm not sure whether exposing both is right, or whether one of them should be canonical. And is there appetite to push the general core to an `ℕ∞` / infinite version, or is the finite form the right scope here?
3. `[DecidableEq α]` on the main theorems. It comes only from writing the cover as
`s = 𝒞.biUnion id` (`Finset.biUnion` needs it); a membership-form coverage condition such as `∀ x, x ∈ s ↔ ∃ C ∈ 𝒞, x ∈ C` would drop the assumption, though it seems to me a bit less readable. Which do you prefer? (I think the injective-form weak dualities assume neither order, finiteness, nor `DecidableEq`.)
4. Naming. I use `C` / `A` for a chain / antichain and `𝒞` / `𝒜` for a chain / antichain cover (for hopefully obvious reason). Happy to change these if you would prefer something else.
## Open questions
- File placement (`Mathlib/Order/Dilworth.lean`?), and whether the general lemmas (the antichain closures, the injective transversal and weak dualities) should live in existing files (`Mathlib/Order/Antichain.lean`, `Mathlib/Order/UpperLower/…`) rather than in a new file.
Zulip: https://leanprover.zulipchat.com/#narrow/channel/113489-new-members/topic/Antoine.20du.20Fresne.20von.20Hohenesche/with/604112426
AI use: I worked out all proofs on paper first and most of the design structure of the file. I then used Claude Code (Claude Opus) to transcribe my paper proofs into Lean, weaken hypotheses, reduce redundancy, and fix comment typos. |
t-order
new-contributor
LLM-generated
|
610/3 |
Mathlib.lean,Mathlib/Order/Dilworth.lean,docs/1000.yaml |
3 |
6 |
['AntoineduFresne', 'SnirBroshi', 'github-actions'] |
nobody |
9-78682 9 days ago |
9-85525 9 days ago |
9-86338 9 days |
| 40724 |
justus-springer author:justus-springer |
feat(Analysis/InnerProductSpace): inner products on exterior powers |
Given a real inner product space `E`, we construct a canonical inner product on `⋀[ℝ]^n E` via the Gram determinant formula: on decomposable elements, `⟪v₁ ∧ ⋯ ∧ vₙ, w₁ ∧ ⋯ ∧ wₙ⟫ = det (⟪vⱼ, wᵢ⟫)ᵢⱼ`.
There are two generalizations of this construction: Going from `ℝ` to `RCLike`, and getting rid of the `FiniteDimensional` assumption. Both would require some prerequisites, hence they are left as future work for now (see the future work section of the module docstring).
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|
168/0 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/ExteriorPower.lean,Mathlib/Analysis/InnerProductSpace/GramMatrix.lean |
3 |
2 |
['github-actions'] |
nobody |
9-63851 9 days ago |
9-64746 9 days ago |
9-65252 9 days |
| 40557 |
xroblot author:xroblot |
feat(RingTheory/Ideal): generalize span_singleton_dvd_span_singleton_iff_dvd and emultiplicity_eq_emultiplicity_span |
Move `Ideal.span_singleton_dvd_span_singleton_iff_dvd` from
`Mathlib.RingTheory.DedekindDomain.Ideal.Lemmas` to
`Mathlib.RingTheory.Ideal.Operations`. The result holds for any `CommSemiring` — the `[IsPrincipalIdealRing R]` hypothesis was not needed.
Generalize `Ideal.emultiplicity_eq_emultiplicity_span` from
`[IsDomain R] [IsPrincipalIdealRing R]` to `[CommRing R]`. The proof simplifies considerably: it follows immediately from `emultiplicity_eq_emultiplicity_iff` and the generalized dvd lemma.
:robot: This PR was extracted from the [SKW project](https://github.com/xroblot/SKW) by Claude. |
t-ring-theory |
27/26 |
Mathlib/RingTheory/DedekindDomain/Ideal/Lemmas.lean,Mathlib/RingTheory/Ideal/Operations.lean |
2 |
1 |
['github-actions'] |
nobody |
9-55924 9 days ago |
15-46395 15 days ago |
15-46046 15 days |
| 38848 |
jcreinhold author:jcreinhold |
feat(AlgebraicTopology/SimplicialSet): exists_isPushout_of_ne_top |
Every proper subcomplex of a simplicial set extends by attaching a single cell along its boundary, exhibited as a pushout of `∂Δ[n] ↪ Δ[n]`. This is the per-cell input for cell-by-cell filtrations of monomorphisms in `SSet`.
Adapted from @joelriou 's [proof](https://github.com/joelriou/topcat-model-category/blob/813338a8c88cfe0096deed7e3ba7daf92d4a1c71/TopCatModelCategory/SSet/Boundary.lean#L187). I also added the supporting lemma `Types.isPullback_of_eq_setPreimage` (set-preimage square is a pullback in `Type u`).
AI use: Claude helped locate `subtype_val_mono` and the `backward.isDefEq.respectTransparency` option.
|
t-algebraic-topology
new-contributor
|
117/3 |
Mathlib/AlgebraicTopology/SimplicialSet/Boundary.lean,Mathlib/CategoryTheory/Limits/Types/Pullbacks.lean |
2 |
37 |
['dagurtomas', 'github-actions', 'jcreinhold', 'joelriou', 'mckoen'] |
robin-carlier assignee:robin-carlier |
9-52999 9 days ago |
9-54206 9 days ago |
55-17774 55 days |
| 40782 |
tb65536 author:tb65536 |
feat(Combinatorics/SimpleGraph/Coloring/EdgeLabeling): add predicates for monochromatic subsets |
This PR adds predicates for monochromatic subsets, in preparation for Ramsey theory.
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t-combinatorics |
143/0 |
Mathlib/Combinatorics/SimpleGraph/Coloring/EdgeLabeling.lean |
1 |
4 |
['SnirBroshi', 'github-actions'] |
nobody |
9-36632 9 days ago |
9-39737 9 days ago |
9-39389 9 days |
| 36218 |
Brian-Nugent author:Brian-Nugent |
feat(CategoryTheory): Add exact sequences for Sheaf Cohomology |
In this PR, I add the long exact sequence for sheaf cohomology as well as prove that it is functorial. Since sheaf cohomology is defined in terms of `Ext`, this is done using the covariant sequence for `Ext`.
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|
t-category-theory |
231/1 |
Mathlib.lean,Mathlib/Algebra/Homology/SpectralObject/Page.lean,Mathlib/CategoryTheory/ComposableArrows/Basic.lean,Mathlib/CategoryTheory/Sites/SheafCohomology/ExactSequences.lean |
4 |
39 |
['Brian-Nugent', 'dagurtomas', 'github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
robin-carlier assignee:robin-carlier |
9-30188 9 days ago |
9-30188 9 days ago |
45-3412 45 days |
| 32282 |
jsm28 author:jsm28 |
feat(Geometry/Euclidean/Angle/Incenter): unoriented angle bisection |
Add lemmas giving unoriented angles involving the incenter and excenters of a triangle as expressions involving dividing angles of the triangle by 2, deduced from oriented bisection lemmas.
---
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|
t-euclidean-geometry |
98/0 |
Mathlib/Geometry/Euclidean/Angle/Incenter.lean |
1 |
8 |
['github-actions', 'jsm28', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'wwylele'] |
nobody |
9-20247 9 days ago |
92-44200 92 days ago |
92-44587 92 days |
| 38432 |
SnirBroshi author:SnirBroshi |
feat(Logic/Relation): `Map r f g ≤ s ↔ r ≤ s.bicompl f g` |
and the dual `s ≤ Relation.Map r f g ↔ s.bicompl f g ≤ r` which requires `f` and `g` to be bijective.
Adds `Galois{Connection/Insertion/Coinsertion}` for the dual.
The theorems are specialized to `onFun` instead of `bicompl` for when `f = g`.
The `≤` theorems are spelled using `Subrelation` since `≤` is not yet available in this file, and `∀` for the `bicompl` theorems since `Subrelation` only supports homogeneous relations.
A `GaloisConnection` for the iff in the title requires `f`/`g` to be bijective, but then we can get an `OrderIso` which is stronger (see #38499).
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|
t-logic |
119/28 |
Mathlib/Logic/Relation.lean,Mathlib/Order/GaloisConnection/Basic.lean |
2 |
5 |
['SnirBroshi', 'github-actions', 'plp127'] |
nobody |
9-20246 9 days ago |
64-6359 64 days ago |
65-27432 65 days |
| 39755 |
wwylele author:wwylele |
chore(GroupTheory): remove a defeq abuse |
---
I am not sure if this is the right change to make, so I'd like to start a discussion from this. The issue here seems to be that the simp lemma [MulAction.orbitRel.Quotient.orbit_mk](https://leanprover-community.github.io/mathlib4_docs/Mathlib/GroupTheory/GroupAction/Defs.html#MulAction.orbitRel.Quotient.orbit_mk) fired and changed the underlying type of variables in the expression, which is not defeq at instance transparency, and fails defeq check for `MulAction` ([MulAction.instElemOrbit](https://leanprover-community.github.io/mathlib4_docs/Mathlib/GroupTheory/GroupAction/Defs.html#MulAction.instElemOrbit) vs [MulAction.instElemOrbit_1](https://leanprover-community.github.io/mathlib4_docs/Mathlib/GroupTheory/GroupAction/Defs.html#MulAction.instElemOrbit_1)). The easy change here is to disable the offending simp, but it feels like a common language pitfall. Should we do either of the following instead?
- remove `MulAction.orbitRel.Quotient.orbit_mk` from default simp set
- Make the the orbit definition more transparent
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tech debt
t-group-theory
|
1/2 |
Mathlib/GroupTheory/GroupAction/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
9-20245 9 days ago |
35-42350 35 days ago |
35-42001 35 days |
| 37183 |
dagurtomas author:dagurtomas |
feat(Tactic/CategoryTheory): map attribute |
Adding `@[map]` to a lemma named `H` of shape `∀ .., f = g`, where `f` and `g` are morphisms
in some category `C`, creates a new lemma named `H_map` of the form
`∀ .. {D} (func : C ⥤ D), F.map f = F.map g` and then applies
`simp only [Functor.map_comp, Functor.map_id]`.
---
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LLM-generated
t-meta
t-category-theory
|
301/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/CategoryTheory/Map.lean,MathlibTest/CategoryTheory/Map.lean,MathlibTest/CategoryTheory/MapSimp.lean |
5 |
13 |
['adamtopaz', 'dagurtomas', 'github-actions', 'joelriou'] |
nobody |
9-20240 9 days ago |
31-1876 31 days ago |
93-51906 93 days |
| 40340 |
themathqueen author:themathqueen |
feat(Analysis/InnerProductSpace/TensorProduct): continuous version of `TensorProduct.mk` |
and isometric version of `TensorProduct.rid`.
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|
t-analysis |
56/9 |
Mathlib/Analysis/InnerProductSpace/TensorProduct.lean,Mathlib/LinearAlgebra/TensorProduct/Associator.lean |
2 |
1 |
['github-actions'] |
sgouezel assignee:sgouezel |
9-17776 9 days ago |
19-60383 19 days ago |
20-43239 20 days |
| 40367 |
YaelDillies author:YaelDillies |
feat(MeasureTheory): mass of `count.real` |
From MeanFourier
---
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|
t-measure-probability |
21/5 |
Mathlib/Data/Real/ENatENNReal.lean,Mathlib/MeasureTheory/Measure/Count.lean,Mathlib/RingTheory/Length.lean,Mathlib/SetTheory/Cardinal/Finite.lean |
4 |
4 |
['YaelDillies', 'github-actions', 'plp127'] |
sgouezel assignee:sgouezel |
9-17775 9 days ago |
19-1226 19 days ago |
19-3154 19 days |
| 40533 |
kebekus author:kebekus |
feat: translation invariance of meromorphicity |
Establish a host of elementary simplifier lemmas, showing that all notions associated with the word "meromorphic" are invariant under translation.
---
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|
t-analysis |
420/8 |
Mathlib/Analysis/Analytic/Order.lean,Mathlib/Analysis/Meromorphic/Basic.lean,Mathlib/Analysis/Meromorphic/Divisor.lean,Mathlib/Analysis/Meromorphic/NormalForm.lean,Mathlib/Analysis/Meromorphic/Order.lean,Mathlib/Analysis/Meromorphic/TrailingCoefficient.lean,Mathlib/Analysis/Normed/Group/Basic.lean |
7 |
22 |
['felixpernegger', 'github-actions', 'kebekus'] |
sgouezel assignee:sgouezel |
9-17773 9 days ago |
16-433 16 days ago |
16-84 16 days |
| 40791 |
vvvv-ops author:vvvv-ops |
feat(RingTheory/DedekindDomain): dirichlet's s-unit theorem |
Proves the `Future work` of `RingTheory/DedekindDomain/SInteger.lean`: finite generation of `S`-units and Dirichlet's `S`-unit theorem.
For a Dedekind domain `R` with fraction field `K` and a finite set `S` of height-one primes, this adds the `S`-valuation map `Set.unitValuation` with kernel the `∅`-units (`Set.unitValuation_ker`), finite generation `Set.unit_fg`, and the exact rank `Set.finrank_eq`: `finrank ℤ (Additive 𝒪_{K,S}ˣ) = finrank ℤ (Additive 𝒪_Kˣ) + |S|`, plus the number-field specialisation `Set.unit_finrank_numberField` (`= (r₁ + r₂ - 1) + |S|`). The proof uses the short exact sequence `1 → 𝒪_Kˣ → 𝒪_{K,S}ˣ → ⊕_{v∈S} ℤ`: the kernel is the units, and the image has finite index because its cokernel embeds in the (finite) class group.
The general finiteness helpers `Module.Finite.of_fg_ker_of_fg_range`, `CommGroup.fg_of_fg_ker_of_fg_range`, `Subgroup.fg_of_fg_commGroup` are included in the file for now — happy to move them to `RingTheory/Finiteness` / `GroupTheory/Finiteness` if preferred.
|
t-ring-theory
new-contributor
|
339/0 |
Mathlib.lean,Mathlib/RingTheory/DedekindDomain/SUnit.lean,scripts/noshake.json |
3 |
3 |
['github-actions'] |
nobody |
9-5368 9 days ago |
9-8256 9 days ago |
9-7907 9 days |
| 40579 |
jcreinhold author:jcreinhold |
feat(Algebra/Category/Ring): preserve limits to CommMonCat |
Adds the missing instance saying that forgetting a commutative ring to its multiplicative commutative monoid preserves limits. |
t-algebra
new-contributor
label:t-algebra$ |
7/0 |
Mathlib/Algebra/Category/Ring/Limits.lean |
1 |
7 |
['felixpernegger', 'github-actions', 'jcreinhold'] |
nobody |
9-2987 9 days ago |
13-74459 13 days ago |
13-82584 13 days |
| 39953 |
plp127 author:plp127 |
feat(RingTheory/Valuation): embedding of valuation groups |
We show that if `vR` and `vA` are valuations satisfying `vR.HasExtension vA`, then there is an induced embedding of the valuation groups compatible with the valuations and with the extension.
---
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|
t-ring-theory |
39/1 |
Mathlib/Algebra/Group/WithOne/Defs.lean,Mathlib/RingTheory/Valuation/Extension.lean |
2 |
6 |
['faenuccio', 'github-actions', 'plp127', 'riccardobrasca'] |
faenuccio assignee:faenuccio |
8-84827 8 days ago |
21-65221 21 days ago |
31-14492 31 days |
| 40787 |
Mal-Pat author:Mal-Pat |
doc(Combinatorics/SimpleGraph/Girth): fix incorrect TODO statement |
The TODO statement `G.egirth ≤ 2 * G.ediam + 1` on its own is incorrect - a finite acyclic graph has `G.egirth = ∞` with finite `G.ediam`. The condition that `G` must not be acyclic has been added to the statement to make it correct.
Also, the condition that the diameter must be non-zero is not required to prove `¬ G.IsAcyclic → G.egirth ≤ 2 * G.ediam + 1`.
---
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|
t-combinatorics
new-contributor
maintainer-merge
|
2/2 |
Mathlib/Combinatorics/SimpleGraph/Girth.lean |
1 |
3 |
['YaelDillies', 'github-actions'] |
nobody |
8-84296 8 days ago |
9-30847 9 days ago |
9-30498 9 days |
| 39703 |
YaelDillies author:YaelDillies |
chore: create a `Basic` top folder |
Move a select few folders from `Logic` to a new `Basic` folder.
The goal is to finally move the material misplaced in the `Data` and `Logic` folder and to clarify the various expectations of each folder. Ultimately:
* the `Basic` folder will be about basic predicates on types and basic mathematical types not fitting in any other folder;
* the `Data` folder will be about data structures, instead of the current mix of data structures and basic mathematical types not fitting in any other folder;
* the `Logic` folder will be about advanced logic results not fitting in either `ModelTheory` or `SetTheory`, instead of the current mix of basic predicates on types and advanced logic results.
Many more files (~1000) could be moved, so I will do it in several PRs. Not all files should move to `Basic`. Some files should go to `Algebra.Order` instead (eg `Data.Nat.Lattice`) and some should be straight out deprecated (eg `Data.Analysis`).
[Zulip discussion](https://leanprover.zulipchat.com/#narrow/channel/345428-mathlib-reviewers/topic/Basic.20folder/with/597151406)
---
This PR stems from discussions at the MI retreat 2026.
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|
file-removed
t-data
maintainer-merge
|
148/95 |
Counterexamples/Girard.lean,Mathlib.lean,Mathlib/Algebra/CharZero/Defs.lean,Mathlib/Algebra/Group/Irreducible/Defs.lean,Mathlib/Algebra/Group/Nat/Units.lean,Mathlib/Algebra/Group/Pi/Basic.lean,Mathlib/Algebra/Group/Units/Basic.lean,Mathlib/Algebra/Group/WithOne/Defs.lean,Mathlib/Algebra/GroupWithZero/Basic.lean,Mathlib/Algebra/GroupWithZero/Defs.lean,Mathlib/Algebra/Module/Presentation/Free.lean,Mathlib/Algebra/Module/Projective.lean,Mathlib/Algebra/NeZero.lean,Mathlib/Basic/Denumerable.lean,Mathlib/Basic/ExistsUnique.lean,Mathlib/Basic/IsEmpty.lean,Mathlib/Basic/IsEmpty/Basic.lean,Mathlib/Basic/IsEmpty/Defs.lean,Mathlib/Basic/Logic/Basic.lean,Mathlib/Basic/Logic/Lemmas.lean,Mathlib/Basic/Nonempty.lean,Mathlib/Basic/Nontrivial/Basic.lean,Mathlib/Basic/Nontrivial/Defs.lean,Mathlib/Basic/README.md,Mathlib/Basic/Unique.lean,Mathlib/Basic/UnivLE.lean,Mathlib/CategoryTheory/EssentiallySmall.lean,Mathlib/CategoryTheory/Limits/Types/Colimits.lean,Mathlib/CategoryTheory/Limits/Types/Limits.lean,Mathlib/CategoryTheory/UnivLE.lean,Mathlib/Combinatorics/Quiver/Path.lean,Mathlib/Computability/Primrec/Basic.lean,Mathlib/Data/Bool/Basic.lean,Mathlib/Data/FunLike/Basic.lean,Mathlib/Data/List/Basic.lean,Mathlib/Data/List/GetD.lean,Mathlib/Data/Nat/Basic.lean,Mathlib/Data/Nat/MaxPowDiv.lean,Mathlib/Data/Option/Basic.lean,Mathlib/Data/Quot.lean,Mathlib/Data/README.md,Mathlib/Data/Rat/Denumerable.lean,Mathlib/Data/TwoPointing.lean,Mathlib/Lean/Meta/CongrTheorems.lean,Mathlib/LinearAlgebra/Matrix/Defs.lean,Mathlib/Logic/Equiv/Defs.lean,Mathlib/Logic/Equiv/List.lean,Mathlib/Logic/Function/Basic.lean,Mathlib/Logic/README.md,Mathlib/Order/OrderIsoNat.lean,Mathlib/Order/RelClasses.lean,Mathlib/Order/WithBot.lean,Mathlib/RingTheory/Coprime/Basic.lean,Mathlib/SetTheory/Cardinal/Basic.lean,Mathlib/SetTheory/Cardinal/UnivLE.lean,Mathlib/SetTheory/ZFC/Rank.lean,Mathlib/Tactic/CancelDenoms/Core.lean,Mathlib/Tactic/CongrExclamation.lean,Mathlib/Tactic/ITauto.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean,Mathlib/Tactic/Nontriviality/Core.lean,Mathlib/Tactic/Push.lean,Mathlib/Tactic/Subsingleton.lean,Mathlib/Tactic/Tauto.lean,Mathlib/Testing/Plausible/Testable.lean,Mathlib/Topology/Order/UpperLowerSetTopology.lean,MathlibTest/Linter/PrivateModule/ImportOnly.lean,scripts/autolabel.lean,scripts/noshake.json |
69 |
29 |
['SnirBroshi', 'YaelDillies', 'github-actions', 'grunweg', 'joneugster', 'mathlib-merge-conflicts', 'themathqueen'] |
joneugster assignee:joneugster |
8-80436 8 days ago |
9-80852 9 days ago |
31-3464 31 days |
| 40088 |
jeangud author:jeangud |
fix(Tactic/Linter/DocString): avoid false positive in syntax quotation patterns |
Fix a false-positive in the `linter.style.docString.empty` linter with pattern matching:
```lean
/-- Checks if a command has the `AMS` attribute. -/
def toAMS (stx : TSyntax ``Command.declModifiers) :
CommandElabM (Array <| TSyntaxArray `num) := do
match stx with
| `(declModifiers| $(_)? @[$[$atts],*] $(_)? $(_)? $(_)? $(_)?) =>
atts.filterMapM fun att ↦ do
match att with
| `(attrInstance | AMS $nums*) => return some nums
| _ => return none
| _ => return #[]
```
This can be addressed by ensuring the syntax kind of the doc string is ``` ``Parser.Command.docComment``` as syntax quotation uses an antiquotation syntax instead.
- :robot: Implemented and test with **Gemini 3.1 Pro**. This change is pretty targeted so I did not have much to redo except reviewing.
---
<details>
<summary>Old, noisy description</summary>
# Description
Syntax quotations are a key meta-programming feature for Lean 4, but the `linter.style.docString.empty` linter currently does not handle them correctly.
This PR:
- Closes #40087
- Adds a regression test for syntax quotation patterns
- :robot: Implemented and test with **Gemini 3.1 Pro**. This change is pretty targeted so I did not have much to redo except reviewing.
**Example false positive:**
In the [formal-conjectures](https://github.com/google-deepmind/formal-conjectures) repository, the `AMSLinter`:
```lean
/-- Checks if a command has the `AMS` attribute. -/
def toAMS (stx : TSyntax ``Command.declModifiers) :
CommandElabM (Array <| TSyntaxArray `num) := do
match stx with
| `(declModifiers| $(_)? @[$[$atts],*] $(_)? $(_)? $(_)? $(_)?) =>
atts.filterMapM fun att ↦ do
match att with
| `(attrInstance | AMS $nums*) => return some nums
| _ => return none
| _ => return #[]
```
**Proposed Fix:** We can fix this by explicitly checking the kind of the docstring node before processing it. Pattern nodes from syntax quotations use antiquotations for the docstring slot (like `$(_)?`), which have a different syntax kind than actual doc comments. Filtering by `docStx.getKind == ``Parser.Command.docComment` successfully filters out the false positives while keeping the linter working for actual source code:
```lean
if docStx.isMissing then continue -- this is probably superfluous, thanks to `some pos` above.
if docStx.getKind != ``Parser.Command.docComment then continue -- ignore antiquotations from syntax patterns like `$(_)?`
```
# Testing
:white_check_mark: Builds successfully
```shell
$ lake build Mathlib.Tactic.Linter.DocString
Build completed successfully (4 jobs).
```
:white_check_mark: Tests pass
```shell
$ lake build MathlibTest.Linter.DocString
Build completed successfully (6 jobs).
```
**Before :x:**
```shell
$ lake build ./FormalConjectures/Util/Linters/AMSLinter.lean
⚠ [68/68] Built FormalConjectures.Util.Linters.AMSLinter
warning: FormalConjectures/Util/Linters/AMSLinter.lean:48:21: warning: this doc-string is empty
Note: This linter can be disabled with `set_option linter.style.docString.empty false`
warning: FormalConjectures/Util/Linters/AMSLinter.lean:69:27: warning: this doc-string is empty
Note: This linter can be disabled with `set_option linter.style.docString.empty false`
Build completed successfully (68 jobs).
```
**After :white_check_mark:**
```shell
$ lake build ./FormalConjectures/Util/Linters/AMSLinter.lean
Build completed successfully (25 jobs).
```
</details> |
t-linter
new-contributor
LLM-generated
maintainer-merge
|
19/0 |
Mathlib/Tactic/Linter/DocString.lean,MathlibTest/Linter/DocString.lean |
2 |
8 |
['github-actions', 'jeangud', 'joneugster'] |
nobody |
8-75478 8 days ago |
24-47358 24 days ago |
26-21042 26 days |
| 40775 |
felixpernegger author:felixpernegger |
feat(Data/Finset): `insert a (s.erase a) = insert a s` |
---
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|
t-data |
5/3 |
Mathlib/Data/Finset/Basic.lean,Mathlib/Data/Finset/Fold.lean,Mathlib/RingTheory/Lasker.lean |
3 |
3 |
['eric-wieser', 'felixpernegger', 'github-actions'] |
nobody |
8-67651 8 days ago |
9-43268 9 days ago |
9-45097 9 days |
| 40498 |
wangying11123 author:wangying11123 |
feat(Geometry/Euclidean): unoriented angle eq of oriented angle eq |
This PR adds two theorems to Mathlib/Geometry/Euclidean/Angle/Oriented/Affine.lean
`angle_eq_of_oangle_eq`: If two oriented angles are equal, and the four endpoint pairs are nondegenerate, then the
corresponding unoriented angles are equal.
`angle_eq_of_oangle_eq_not_collinear`: If two oriented angles are equal, and the first triple is not collinear, then the
corresponding unoriented angles are equal. |
new-contributor |
22/0 |
Mathlib/Geometry/Euclidean/Angle/Oriented/Affine.lean |
1 |
2 |
['github-actions'] |
nobody |
8-62451 8 days ago |
16-68540 16 days ago |
16-68242 16 days |
| 32058 |
Thmoas-Guan author:Thmoas-Guan |
feat(Algebra): Baer criterion for injective dimension |
In this PR, we added the cateory version of Baer criterion stating that `M` is injective iff `Ext^1(R/I, M)` vanish for all ideal `I`. By dimension shifting, we also have `M` has injective dimension not exceeding `n` iff `Ext^{n + 1}(R/I, M)` vanish for all ideal `I`.
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|
t-algebra
t-category-theory
label:t-algebra$ |
172/0 |
Mathlib.lean,Mathlib/Algebra/Category/ModuleCat/Ext/Baer.lean,Mathlib/Algebra/Homology/DerivedCategory/Ext/EnoughProjectives.lean |
3 |
86 |
['Thmoas-Guan', 'dagurtomas', 'github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib-splicebot', 'mathlib4-merge-conflict-bot'] |
joelriou assignee:joelriou |
8-61724 8 days ago |
8-63004 8 days ago |
94-54370 94 days |
| 40310 |
felixpernegger author:felixpernegger |
chore(Algebra): remove an `erw` |
---
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t-algebra
tech debt
label:t-algebra$ |
3/4 |
Mathlib/Algebra/Ring/Divisibility/Basic.lean |
1 |
10 |
['felixpernegger', 'github-actions', 'grunweg', 'j-loreaux', 'mathlib-bors'] |
nobody |
8-60319 8 days ago |
8-62849 8 days ago |
10-2687 10 days |
| 26212 |
Thmoas-Guan author:Thmoas-Guan |
feat(Algebra): the Rees theorem for depth |
In this PR we proved the Rees theorem for depth.
Co-authored-by: Hu Yongle <mbkybky@gmail.com>
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|
t-ring-theory |
192/0 |
Mathlib.lean,Mathlib/RingTheory/Depth/Rees.lean,docs/references.bib |
3 |
85 |
['Thmoas-Guan', 'Vierkantor', 'alreadydone', 'chrisflav', 'dagurtomas', 'erdOne', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'riccardobrasca'] |
riccardobrasca assignee:riccardobrasca |
8-59213 8 days ago |
8-59213 8 days ago |
127-57726 127 days |
| 36643 |
Thmoas-Guan author:Thmoas-Guan |
feat(Homology): interaction of projective and injective dimension and SES |
In this PR, we directly implemented the relation of `projectiveDimension` and `injectiveDimension` in SES.
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|
t-category-theory |
175/0 |
Mathlib/CategoryTheory/Abelian/Injective/Dimension.lean,Mathlib/CategoryTheory/Abelian/Projective/Dimension.lean |
2 |
11 |
['Thmoas-Guan', 'dagurtomas', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
adamtopaz assignee:adamtopaz |
8-59149 8 days ago |
8-63791 8 days ago |
73-68067 73 days |
| 40813 |
Thmoas-Guan author:Thmoas-Guan |
feat(Algebra/Module): lemma for `spanFinrank` eq one |
In this PR we added equivalent characterization of `spanFinrank` equal to one.
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|
t-algebra label:t-algebra$ |
14/0 |
Mathlib/Algebra/Module/SpanRank.lean |
1 |
1 |
['github-actions'] |
nobody |
8-57359 8 days ago |
8-58613 8 days ago |
8-58264 8 days |
| 40381 |
felixpernegger author:felixpernegger |
chore: replace `:= by rfl` with `:= rfl` |
Continuation of #40371.
This PR replace `:= by rfl` with `:= rfl` whenever possible (also if the `rfl` is on the next line). This ought to make `dsimp` a little bit better as well.
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|
256/466 |
Archive/Imo/Imo2010Q5.lean,Mathlib/Algebra/Algebra/NonUnitalHom.lean,Mathlib/Algebra/Category/Grp/Basic.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/Monoidal.lean,Mathlib/Algebra/Category/MonCat/Basic.lean,Mathlib/Algebra/Category/Ring/Constructions.lean,Mathlib/Algebra/Colimit/DirectLimit.lean,Mathlib/Algebra/DirectSum/Finsupp.lean,Mathlib/Algebra/DirectSum/Module.lean,Mathlib/Algebra/DirectSum/Ring.lean,Mathlib/Algebra/Group/AddChar.lean,Mathlib/Algebra/Group/Subgroup/Defs.lean,Mathlib/Algebra/GroupWithZero/ProdHom.lean,Mathlib/Algebra/Homology/HomotopyCategory/HomComplex.lean,Mathlib/Algebra/Homology/ShortComplex/LeftHomology.lean,Mathlib/Algebra/Homology/Single.lean,Mathlib/Algebra/Lie/Basic.lean,Mathlib/Algebra/Lie/Cochain.lean,Mathlib/Algebra/Lie/Extension.lean,Mathlib/Algebra/Lie/OfAssociative.lean,Mathlib/Algebra/Lie/Submodule.lean,Mathlib/Algebra/Lie/Weights/Basic.lean,Mathlib/Algebra/Order/Hom/MonoidWithZero.lean,Mathlib/Algebra/Order/Hom/Ring.lean,Mathlib/Algebra/Order/Module/PositiveLinearMap.lean,Mathlib/Algebra/Polynomial/AlgebraMap.lean,Mathlib/Algebra/Polynomial/Coeff.lean,Mathlib/Algebra/Polynomial/Derivation.lean,Mathlib/Algebra/Polynomial/Module/Basic.lean,Mathlib/Algebra/Polynomial/Sequence.lean,Mathlib/Algebra/Ring/Hom/Defs.lean,Mathlib/Algebra/SkewMonoidAlgebra/Basic.lean,Mathlib/Algebra/Star/NonUnitalSubalgebra.lean,Mathlib/Algebra/Vertex/HVertexOperator.lean,Mathlib/Algebra/Vertex/VertexOperator.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Affine/Point.lean,Mathlib/AlgebraicGeometry/Modules/Sheaf.lean,Mathlib/AlgebraicTopology/SimplexCategory/Rev.lean,Mathlib/AlgebraicTopology/SimplicialSet/Homotopy.lean,Mathlib/AlgebraicTopology/SimplicialSet/StdSimplex.lean,Mathlib/Analysis/Analytic/Composition.lean,Mathlib/Analysis/Asymptotics/ExpGrowth.lean,Mathlib/Analysis/CStarAlgebra/GelfandDuality.lean,Mathlib/Analysis/Complex/JensenFormula.lean,Mathlib/Analysis/Distribution/ContDiffMapSupportedIn.lean,Mathlib/Analysis/Distribution/Distribution.lean,Mathlib/Analysis/Distribution/FourierMultiplier.lean,Mathlib/Analysis/Distribution/SchwartzSpace/Basic.lean,Mathlib/Analysis/Distribution/SchwartzSpace/Fourier.lean,Mathlib/Analysis/Distribution/TemperedDistribution.lean,Mathlib/Analysis/Fourier/Convolution.lean,Mathlib/Analysis/Normed/Affine/Isometry.lean,Mathlib/Analysis/Normed/Group/Seminorm.lean,Mathlib/Analysis/Normed/Module/Span.lean,Mathlib/Analysis/SpecialFunctions/Complex/CircleAddChar.lean,Mathlib/Analysis/SpecialFunctions/Stirling.lean,Mathlib/CategoryTheory/Distributive/Monoidal.lean,Mathlib/CategoryTheory/Limits/Presheaf.lean,Mathlib/CategoryTheory/Limits/Shapes/Pullback/Cospan.lean,Mathlib/CategoryTheory/Limits/Types/Equalizers.lean,Mathlib/CategoryTheory/Limits/Types/Products.lean,Mathlib/CategoryTheory/Monoidal/Braided/Multifunctor.lean,Mathlib/CategoryTheory/Monoidal/Closed/Basic.lean,Mathlib/CategoryTheory/Monoidal/Comon_.lean,Mathlib/CategoryTheory/Monoidal/Mod.lean,Mathlib/CategoryTheory/MorphismProperty/OfObjectProperty.lean,Mathlib/CategoryTheory/Shift/CommShift.lean,Mathlib/CategoryTheory/Shift/ShiftedHomOpposite.lean,Mathlib/CategoryTheory/Sites/IsSheafFor.lean,Mathlib/CategoryTheory/Subfunctor/SubmonoidFunctor.lean,Mathlib/CategoryTheory/Yoneda.lean,Mathlib/Combinatorics/Enumerative/Stirling.lean,Mathlib/Combinatorics/SimpleGraph/Maps.lean,Mathlib/Combinatorics/SimpleGraph/Subgraph.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Basic.lean,Mathlib/Computability/AkraBazzi/AkraBazzi.lean,Mathlib/Computability/AkraBazzi/SumTransform.lean,Mathlib/Data/Fin/VecNotation.lean,Mathlib/Data/Matrix/Basic.lean,Mathlib/Data/Nat/Factorization/PrimePow.lean,Mathlib/Data/PFunctor/Multivariate/Basic.lean,Mathlib/Data/Real/Embedding.lean,Mathlib/Data/Rel.lean,Mathlib/Data/Seq/Basic.lean,Mathlib/Data/Set/FiniteExhaustion.lean,Mathlib/Data/Set/Lattice.lean,Mathlib/Data/Set/Pairwise/Lattice.lean,Mathlib/Data/Subtype.lean,Mathlib/Geometry/Euclidean/Volume/Measure.lean,Mathlib/Geometry/Manifold/Bordism.lean,Mathlib/Geometry/Manifold/IsManifold/ExtChartAt.lean,Mathlib/Geometry/Polygon/Basic.lean,Mathlib/GroupTheory/Coxeter/Basic.lean,Mathlib/GroupTheory/FiniteIndexNormalSubgroup.lean,Mathlib/GroupTheory/FreeGroup/Orbit.lean,Mathlib/GroupTheory/GroupAction/ConjAct.lean,Mathlib/GroupTheory/GroupAction/Hom.lean,Mathlib/GroupTheory/SpecificGroups/Alternating.lean,Mathlib/GroupTheory/SpecificGroups/Quaternion.lean |
171 |
18 |
['dagurtomas', 'felixpernegger', 'github-actions', 'leanprover-radar', 'mathlib-bors', 'tb65536'] |
dagurtomas assignee:dagurtomas |
8-57171 8 days ago |
8-60464 8 days ago |
17-50683 17 days |
| 40814 |
Thmoas-Guan author:Thmoas-Guan |
feat(RingTheory/Ideal): prime avoidance for maximal ideal |
In this PR, we added prime avoidance for maximal ideal.
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|
t-ring-theory |
13/0 |
Mathlib/RingTheory/Ideal/Operations.lean |
1 |
1 |
['github-actions'] |
nobody |
8-56382 8 days ago |
8-58359 8 days ago |
8-58010 8 days |
| 40818 |
SnirBroshi author:SnirBroshi |
chore(Combinatorics/SimpleGraph/Acyclic): golf `IsAcyclic.path_unique` |
using #33506
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|
t-combinatorics
easy
|
2/25 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean |
1 |
1 |
['github-actions'] |
nobody |
8-49410 8 days ago |
8-50402 8 days ago |
8-50053 8 days |
| 40816 |
NoahW314 author:NoahW314 |
feat(Data/Nat/Factorial/Basic): add `ascFactorial_le` |
---
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The corresponding lemmas for `Nat.factorial` and `Nat.descFactorial` already exist.
|
t-data
easy
|
6/0 |
Mathlib/Data/Nat/Factorial/Basic.lean |
1 |
4 |
['NoahW314', 'SnirBroshi', 'github-actions'] |
nobody |
8-48273 8 days ago |
8-50983 8 days ago |
8-50634 8 days |
| 37963 |
martinwintermath author:martinwintermath |
feat(LinearAlgebra/SesquilinearForm): moving orthogonality to own file |
Move `Submodule.orthogonalBilin` and all lemmas that use it from SesquilinearForm/Basic.lean to its own file SesquilinearForm/Orthogonal.lean.
We also add `gcongr` to `orthogonalBilin_le`.
---
This PR was split off from #40746, which adds the actual new features.
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|
t-algebra
maintainer-merge
label:t-algebra$ |
144/110 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/Orthogonal.lean,Mathlib/LinearAlgebra/BilinearForm/Orthogonal.lean,Mathlib/LinearAlgebra/QuadraticForm/Basic.lean,Mathlib/LinearAlgebra/SesquilinearForm/Basic.lean,Mathlib/LinearAlgebra/SesquilinearForm/Orthogonal.lean |
6 |
12 |
['github-actions', 'jcommelin', 'martinwintermath', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'themathqueen'] |
nobody |
8-42226 8 days ago |
8-45092 8 days ago |
10-21172 10 days |
| 28865 |
grunweg author:grunweg |
feat: a map is smooth iff its post-composition with an immersion is |
A future PR will use this to golf the results in `Icc/Instances.lean`; we will also use this to study bordism theory.
---
- [x] depends on: #28793
- [x] depends on: #28796
- [x] depends on: #28853 (for simplicity)
- [x] depends on: #40810
#28905 is not actually required (nor useful) here
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|
t-differential-geometry |
109/2 |
Mathlib/Analysis/Calculus/ContDiff/Defs.lean,Mathlib/Geometry/Manifold/ContMDiff/Defs.lean,Mathlib/Geometry/Manifold/Immersion.lean |
3 |
22 |
['github-actions', 'grunweg', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'peabrainiac', 'sgouezel'] |
sgouezel assignee:sgouezel |
8-41249 8 days ago |
8-41816 8 days ago |
13-31947 13 days |
| 38589 |
vlad902 author:vlad902 |
feat(SimpleGraph): add universal vertex predicate |
Add the predicate `G.IsUniversal v` to indicate that `v` is a universal vertex, i.e. connected to all other vertices in `G`. This matches the recently added `G.IsIsolated v` predicate for isolated vertices.
Co-authored-by: Justin Lai <justsoft.jsoft@gmail.com>
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|
t-combinatorics
maintainer-merge
|
111/18 |
Mathlib/Combinatorics/SimpleGraph/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean,Mathlib/Combinatorics/SimpleGraph/Finite.lean,Mathlib/Combinatorics/SimpleGraph/Star.lean,Mathlib/Combinatorics/SimpleGraph/Tutte.lean,Mathlib/Combinatorics/SimpleGraph/UniversalVerts.lean |
6 |
37 |
['8e7', 'Rida-Hamadani', 'SnirBroshi', 'YaelDillies', 'github-actions', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
8-40035 8 days ago |
8-41933 8 days ago |
58-52540 58 days |
| 34278 |
gasparattila author:gasparattila |
feat(Topology/Sets): connectedness of `NonemptyCompacts` |
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|
t-topology |
122/0 |
Mathlib/Topology/Sets/VietorisTopology.lean |
1 |
11 |
['gasparattila', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'scholzhannah'] |
PatrickMassot assignee:PatrickMassot |
8-33862 8 days ago |
8-35549 8 days ago |
26-57091 26 days |
| 38830 |
Jun2M author:Jun2M |
feat(Data/List): Nodup and head & getLast lemmas |
Given a Nodup list:
* If a prefix contains the last element, they are equal
* If a suffix contains the first element, they are equal
* If an infix contains the first element, it is a prefix
* If an infix contains the last element, it is a suffix
* If the first and the last element are the same, it is a singleton
* `countP` is cardinality of the filter of `toFinset`.
---
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|
t-data
maintainer-merge
|
32/0 |
Mathlib/Data/Finset/Basic.lean,Mathlib/Data/Finset/Card.lean,Mathlib/Data/List/Nodup.lean |
3 |
16 |
['Jun2M', 'SnirBroshi', 'b-mehta', 'github-actions', 'joneugster', 'mathlib-merge-conflicts'] |
joneugster assignee:joneugster |
8-28398 8 days ago |
8-50675 8 days ago |
44-1180 44 days |
| 35295 |
Rida-Hamadani author:Rida-Hamadani |
feat(SimpleGraph): `dropLast` of a cycle is a path |
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t-combinatorics
maintainer-merge
|
3/0 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean |
1 |
21 |
['Rida-Hamadani', 'SnirBroshi', 'YaelDillies', 'github-actions', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
8-28226 8 days ago |
8-29011 8 days ago |
46-33828 46 days |
| 37865 |
Jun2M author:Jun2M |
feat(Combinatorics/Graph): Edge cut of `Graph` |
This PR introduces
- `edgeCut`: A function on set of vertices that returns the set of edges with exactly one end in the set.
- `IsEdgeCut`: A predicate for set of edges that promises it is `edgeCut` of some set.
- `IsBridge`: An edge `e` is a bridge iff it is a singleton edge cut.
- `IsBond`: An edge Set `B` is bond iff it is minimal nonempty edge cut.
---
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|
t-combinatorics |
209/0 |
Mathlib/Combinatorics/Graph/Connected/EdgeCut.Lean,Mathlib/Combinatorics/Graph/Subgraph.lean,docs/references.bib |
3 |
12 |
['Jun2M', 'b-mehta', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
b-mehta assignee:b-mehta |
8-27953 8 days ago |
8-28705 8 days ago |
65-26812 65 days |
| 40337 |
Robby955 author:Robby955 |
feat(Probability): add condExpKernel prefix support |
## Summary
This draft adds reusable conditional-kernel support for finite product measures and an explicit prefix/tail decomposition for `condExpKernel` on `Fin n -> Ω`.
The main new explicit statement is `ProbabilityTheory.condExpKernel_piPrefix_eq_dirac_prod_pi`: for a product probability measure, conditioning on the prefix-coordinate sigma-algebra gives the kernel that keeps the prefix fixed and samples the remaining coordinates independently from the corresponding tail product.
## Changes
- Add `MeasurableSpace.piPrefixRestrict` and define `MeasurableSpace.piPrefix` as the comap along that restriction map.
- Add prefix measurability helpers for the coordinate sub-sigma-algebra.
- Add `ProbabilityTheory.Kernel.piPrefixTailFromPrefix` and `ProbabilityTheory.Kernel.piPrefixTail` for the explicit prefix-fixed/tail-product kernel.
- Add `ProbabilityTheory.condExpKernel_piPrefix_eq_dirac_prod_pi`, the explicit a.e. kernel equality for product probability measures.
- Keep `ProbabilityTheory.condExpKernel_piPrefix_ae_eq`, the finite-product prefix-coordinate support theorem.
- Extend `MathlibTest/CondExpKernelPiPrefix.lean` with an elaboration check for the explicit kernel equality.
## Verification
Local:
- `lake env lean Mathlib/Probability/Kernel/Condexp.lean`
- `lake env lean MathlibTest/CondExpKernelPiPrefix.lean`
- `lake build Mathlib.Probability.Kernel.Condexp`
- `lake exe runLinter --trace Mathlib.Probability.Kernel.Condexp`
- `#print axioms ProbabilityTheory.condExpKernel_piPrefix_eq_dirac_prod_pi`
- `#print axioms ProbabilityTheory.condExpKernel_piPrefix_ae_eq`
- `git diff --check`
`lake -Kthreads=1 test` was run locally, but this machine hit an OS file-table exhaustion error near the end of `MathlibTest` targets. The GitHub fork CI completed the full build, `test mathlib`, lint, style, cache upload, and post-build checks successfully on the PR head.
Axiom checks report only `[propext, Classical.choice, Quot.sound]` for the two public prefix theorems above.
## Risk / Rollback
No migrations, dependency changes, security-sensitive behavior, or user-facing runtime behavior. Roll back by reverting the prefix-kernel additions in `Mathlib/Probability/Kernel/Condexp.lean` and the corresponding `MathlibTest` checks.
## Disclaimers:
PR and post written by myself, Claude Code and whispr are used in coding and formatting. Claude Code also was used to do a review of the repo. |
t-measure-probability
new-contributor
LLM-generated
|
343/1 |
Mathlib/Probability/Kernel/Condexp.lean,MathlibTest/CondExpKernelPiPrefix.lean |
2 |
3 |
['felixpernegger', 'github-actions'] |
RemyDegenne assignee:RemyDegenne |
8-25630 8 days ago |
19-26031 19 days ago |
19-25682 19 days |
| 37350 |
aditya-ramabadran author:aditya-ramabadran |
feat(Analysis/Distribution): define the map from test functions to Schwartz functions |
Defines the canonical continuous linear map from test functions to Schwartz functions.
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This PR originally also included the induced map from tempered distributions to distributions,
`𝓢'(E, F) →ₗ[ℂ] 𝓓'(Ω, F)`, via a real-to-complex bridge
`𝓓(Ω, ℝ) →L[ℝ] 𝓢(E, ℂ)`. After feedback from @mcdoll , I removed that second part from this PR so that the `𝓓 → 𝓢` map can be merged separately / later in a follow up PR after we figure out the best way to do it.
**Old description:**
Put in a separate file since Distribution.lean only imports TestFunction right now and I thought it was cleaner to do in a new bridge file with both the maps. Open to changing this though.
* Made use of #36445 (proved first map locally on fixed support spaces first by local seminorm estimates, then used limitCLM)
* Needed a real to complex bridge `TestFunction.ToComplexSchwartzMap` since distributions are defined on real-valued test functions but tempered distributions in mathlib are defined on complex-valued Schwartz functions
* Induced map $\mathcal S'(E,F) \to \mathcal D'(Ω,F)$ is $\mathbb C$-linear
The main important defs are `ContDiffMapSupportedIn.toSchwartzMapCLM` which is the local fixed-support part, then `TestFunction.toSchwartzMapCLM` (where the continuity uses limitCLM to glue the local continuous linear maps on each $\mathcal D_K$), and `TemperedDistribution.toDistributionLM` which is the linear map from tempered distributions to ordinary distributions.
Tested with `lake env lean Mathlib/Analysis/Distribution/TestFunctionSchwartz.lean`
[](https://gitpod.io/from-referrer/)
|
t-analysis
new-contributor
|
143/0 |
Mathlib.lean,Mathlib/Analysis/Distribution/TestFunctionSchwartz.lean |
2 |
26 |
['aditya-ramabadran', 'github-actions', 'j-loreaux', 'mcdoll'] |
mcdoll assignee:mcdoll |
8-23275 8 days ago |
8-24042 8 days ago |
75-27776 75 days |
| 40830 |
SnirBroshi author:SnirBroshi |
feat(Analysis/Convex/Function): composition of strictly and non-strictly convex functions |
We currently have composition lemmas for `StrictCon{vex/cave}On` of the form:
```lean
theorem StrictConvexOn.comp :
StrictConvexOn 𝕜 (f '' s) g → StrictMonoOn g (f '' s) →
StrictConvexOn 𝕜 s f → s.InjOn f →
StrictConvexOn 𝕜 s (g ∘ f)
```
If we let either function be convex instead of strictly convex we get:
```lean
theorem ConvexOn.comp_strictConvexOn :
ConvexOn 𝕜 (f '' s) g → StrictMonoOn g (f '' s) →
StrictConvexOn 𝕜 s f →
StrictConvexOn 𝕜 s (g ∘ f)
theorem StrictConvexOn.comp_convexOn :
StrictConvexOn 𝕜 (f '' s) g → MonotoneOn g (f '' s) →
ConvexOn 𝕜 s f → s.InjOn f →
StrictConvexOn 𝕜 s (g ∘ f)
```
In a `Module` these are both stronger than the original version (since `StrictConvexOn` implies `ConvexOn`), but they work over any `SMul`.
---
This adds the two generalizations and concave versions (8 theorems in total), and also golfs the existing `StrictConcaveOn.comp` using the existing `StrictConcaveOn.comp_strictConvexOn` (which has to be moved above).
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|
t-analysis |
44/9 |
Mathlib/Analysis/Convex/Function.lean |
1 |
1 |
['github-actions'] |
nobody |
8-19763 8 days ago |
8-21137 8 days ago |
8-26050 8 days |
| 25778 |
thefundamentaltheor3m author:thefundamentaltheor3m |
feat: Monotonicity of `setIntegral` for nonnegative functions |
This PR makes it easier to prove monotonicity of the Bochner integral on sets for nonnegative functions by removing the stronger assumption required by the general monotonicity lemma that both of the functions being compared must be integrable.
---
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[](https://gitpod.io/from-referrer/)
|
t-measure-probability
new-contributor
|
17/0 |
Mathlib/MeasureTheory/Integral/Bochner/Set.lean |
1 |
8 |
['RemyDegenne', 'github-actions', 'sgouezel', 'thefundamentaltheor3m'] |
kex-y assignee:kex-y |
8-18625 8 days ago |
9-19141 9 days ago |
9-80186 9 days |
| 36709 |
kim-em author:kim-em |
feat(DefEqAbuse): suggest minimal @[implicit_reducible] workaround |
This PR extends `#defeq_abuse` to suggest a minimal set of `@[implicit_reducible]` annotations that would make the failing tactic or command succeed with `backward.isDefEq.respectTransparency true`.
When `#defeq_abuse` detects a failure, it now runs a greedy minimisation over semireducible definitions reachable from the goal/command, finding a (possibly non-unique) minimal subset that, when temporarily marked `@[implicit_reducible]`, fixes the issue. The result is reported as an `info` message:
```
info: Workaround: the following @[implicit_reducible] annotations (a possibly non-unique minimal set) would paper over this problem,
but the real issue is likely a leaky instance somewhere.
set_option allowUnsafeReducibility true
attribute [implicit_reducible]
MyPred
```
This is a workaround, not a fix — the real cause is usually a leaky instance (which `#check_instance` from https://github.com/leanprover-community/mathlib4/pull/36706 can diagnose). But it can be useful for quick debugging.
New helpers: `collectCandidates`, `markImplicitReducible`, `withTempImplicitReducible`, `withTempImplicitReducibleCmd`, `suggestAnnotationsTac`, `suggestAnnotationsCmd`, `formatAnnotations`, `logAnnotationSuggestions`.
🤖 Prepared with Claude Code |
t-meta
LLM-generated
|
187/17 |
Mathlib/Tactic/DefEqAbuse.lean,MathlibTest/DefEqAbuse.lean |
2 |
6 |
['github-actions', 'kim-em', 'mathlib-merge-conflicts', 'thorimur'] |
Vierkantor assignee:Vierkantor |
8-18621 8 days ago |
60-71085 60 days ago |
77-68947 77 days |
| 37376 |
NoneMore author:NoneMore |
feat(Topology/CantorBendixson): add iterated derived sets and perfect kernel |
Define the transfinite iteration of the relative derived-set operator via `gfpApprox` and introduce the perfect kernel of a set.
---
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AI disclosure: Most declarations, comments, and documentation in this PR were generated with Codex. Some proofs were structurally simplified using the `/golf` command from Lean 4 Skills. I reviewed the resulting code and documentation and can vouch for all submitted content.
- [x] depends on: #37374
- [x] depends on: #37375
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-topology
|
276/10 |
Mathlib.lean,Mathlib/SetTheory/Ordinal/FixedPointApproximants.lean,Mathlib/Topology/CantorBendixson.lean |
3 |
21 |
['NoneMore', 'fpvandoorn', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
scholzhannah assignee:scholzhannah |
8-18619 8 days ago |
10-51908 10 days ago |
10-52391 10 days |
| 38052 |
WenrongZou author:WenrongZou |
feat(FormalGroup): `F(X,0)=X` and `F(0,X)=X` |
In this PR, I prove that given a formal group law `F`, then `F(X,0) = X` and `F(0,X) = X`. And modify the definition of `FormalGroup.Point` to be a subtype. And prove that this subtype is a `AddZeroClass`. Eventually we will prove that this is a `AddGroup`.
---
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
253/33 |
Mathlib/RingTheory/FormalGroup/Basic.lean,Mathlib/RingTheory/MvPowerSeries/Substitution.lean,Mathlib/RingTheory/PowerSeries/Basic.lean,Mathlib/RingTheory/PowerSeries/Evaluation.lean,Mathlib/RingTheory/PowerSeries/Substitution.lean |
5 |
19 |
['WenrongZou', 'eric-wieser', 'github-actions', 'mariainesdff', 'mathlib-merge-conflicts'] |
riccardobrasca assignee:riccardobrasca |
8-18617 8 days ago |
30-78321 30 days ago |
74-2589 74 days |
| 39212 |
emlis42 author:emlis42 |
feat(Algebra/ContinuedFractions): add `partNums!` and `partDens!` |
This PR adds `partNums!` and `partDens!`, which provide infinite stream representations for the sequences of partial numerators and denominators of a generalized continued fraction. |
t-algebra
new-contributor
label:t-algebra$ |
8/0 |
Mathlib/Algebra/ContinuedFractions/Basic.lean |
1 |
4 |
['emlis42', 'github-actions', 'grunweg'] |
ocfnash assignee:ocfnash |
8-18614 8 days ago |
47-49030 47 days ago |
47-48681 47 days |
| 39219 |
WenrongZou author:WenrongZou |
feat(FieldTheory/Finite): add variant theorems for `expand_card` |
Add `MvPolynomial, MvPowerSeries, PowerSeries` version of `FiniteField.expand_card`, which is only for polynomial.
---
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|
t-algebra
large-import
label:t-algebra$ |
45/4 |
Mathlib/FieldTheory/Finite/Basic.lean,Mathlib/LinearAlgebra/Matrix/Charpoly/FiniteField.lean,Mathlib/RingTheory/MvPolynomial/Expand.lean,Mathlib/RingTheory/MvPowerSeries/Expand.lean,Mathlib/RingTheory/PowerSeries/Expand.lean |
5 |
1 |
['github-actions'] |
ocfnash assignee:ocfnash |
8-18613 8 days ago |
47-34709 47 days ago |
47-34592 47 days |
| 40510 |
felixpernegger author:felixpernegger |
refactor: reorganize Topology/EMetricSpace/Defs to generalise basic results |
This PR reorganizes the Topology/EMetricSpace/Defs so that various results that previously only held for `PseudoEMetricSpace` now also hold for `WeakPseudoEMetricSpace` (in particular ENNReal etc). This is a necessary stepping stone to generalise many definitions and theorems across mathlib to `WeakPseudoEMetricSpace`
---
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|
t-topology |
288/183 |
Mathlib.lean,Mathlib/Topology/EMetricSpace/Defs.lean,Mathlib/Topology/EMetricSpace/MulOpposite.lean,Mathlib/Topology/EMetricSpace/Weak.lean,Mathlib/Topology/MetricSpace/HausdorffDistance.lean,Mathlib/Topology/MetricSpace/IsometricSMul.lean,Mathlib/Topology/MetricSpace/Pseudo/Defs.lean |
7 |
7 |
['felixpernegger', 'github-actions', 'mathlib-bors'] |
scholzhannah assignee:scholzhannah |
8-18608 8 days ago |
12-57079 12 days ago |
12-61185 12 days |
| 40591 |
ajirving author:ajirving |
feat(Topology/Algebra): inv and div for infinite products over groups with zero |
Proves two lemmas for infinite products over groups with zero: inverses and division behave as expected provided the limit is nonzero. This requires an extra import to get some of the GroupWithZero API. Maybe the GroupWithZero results should be in a different file but I was just adding to what was already there in Group.lean.
---
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|
t-topology |
16/0 |
Mathlib/Topology/Algebra/InfiniteSum/Group.lean |
1 |
5 |
['ajirving', 'github-actions', 'plp127'] |
scholzhannah assignee:scholzhannah |
8-18603 8 days ago |
13-79405 13 days ago |
13-79221 13 days |
| 40613 |
LLaurance author:LLaurance |
feat(Probability): expectation of a binomial random variable |
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|
t-measure-probability |
16/1 |
Mathlib/Probability/Distributions/Binomial.lean |
1 |
1 |
['github-actions'] |
EtienneC30 assignee:EtienneC30 |
8-18602 8 days ago |
13-9379 13 days ago |
13-9030 13 days |
| 40649 |
felixpernegger author:felixpernegger |
chore(MeasureTheory/Measure/DiracProba): remove some defEq abuse |
---
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|
t-measure-probability |
2/5 |
Mathlib/MeasureTheory/Measure/DiracProba.lean |
1 |
3 |
['felixpernegger', 'github-actions', 'wwylele'] |
EtienneC30 assignee:EtienneC30 |
8-18601 8 days ago |
12-19203 12 days ago |
12-18872 12 days |
| 40759 |
CoolRmal author:CoolRmal |
feat(Order): a sequence converges if every subsequence has a further convergent subsequence |
This PR proves `tendsto_of_forall_filter_le_exists_tendsto`, which is the filter version of the theorem in the title: if for any filter `m ≤ l₁`, there exists a nontrivial filter `n ≤ m` such that `f` converges to `l₂` along `n`, then `f` converges to `l₂` along `l₁`.
Mostly generated in a chat with GPT Pro 5.5. Polished and reviewed by me.
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|
t-order |
10/0 |
Mathlib/Order/Filter/Tendsto.lean |
1 |
4 |
['CoolRmal', 'attilavjda', 'github-actions'] |
nobody |
8-15082 8 days ago |
8-17240 8 days ago |
9-46721 9 days |
| 40728 |
Formalistic03 author:Formalistic03 |
feat(Combinatorics/SimpleGraph/Hasse): more properties of Hasse graphs of linear orders |
- two forms of an intermediate value theorem for linear orders
- the Hasse graph of a linear order is acyclic
- a path graph is locally finite
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|
new-contributor
t-combinatorics
large-import
|
83/13 |
Mathlib/Combinatorics/SimpleGraph/Circulant.lean,Mathlib/Combinatorics/SimpleGraph/Hasse.lean,Mathlib/Data/Fintype/Defs.lean |
3 |
15 |
['Formalistic03', 'SnirBroshi', 'github-actions'] |
nobody |
8-1647 8 days ago |
8-18819 8 days ago |
9-83893 9 days |
| 40801 |
Mal-Pat author:Mal-Pat |
feat(Combinatorics/SimpleGraph/Paths): `p.IsPath → p.bypass = p` |
A useful lemma - if `p` is a path, then `p.bypass = p`.
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|
t-combinatorics
new-contributor
maintainer-merge
|
4/0 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean |
1 |
10 |
['Mal-Pat', 'SnirBroshi', 'YaelDillies', 'github-actions', 'mathlib-bors'] |
nobody |
7-84523 7 days ago |
8-1427 8 days ago |
8-1666 8 days |
| 40762 |
YaelDillies author:YaelDillies |
feat(Order): `Ici (1 : α) = univ` when `IsBotOneClass α` |
From PFR
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|
t-order |
10/8 |
Mathlib/Algebra/Order/Group/Pointwise/Interval.lean,Mathlib/MeasureTheory/Measure/Hausdorff.lean,Mathlib/Order/Interval/Finset/Defs.lean,Mathlib/Order/Interval/Set/Basic.lean |
4 |
6 |
['YaelDillies', 'github-actions', 'plp127', 'sgouezel'] |
nobody |
7-78671 7 days ago |
9-54617 9 days ago |
9-56483 9 days |
| 38369 |
quantumsnow author:quantumsnow |
feat(AlgebraicTopology): Eilenberg Steenrod axioms |
This introduces the Eilenberg-Steenrod axioms for a homology theory.
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|
new-contributor
t-algebraic-topology
large-import
|
299/7 |
Mathlib/AlgebraicTopology/EilenbergSteenrod.lean,Mathlib/Topology/Category/TopPair.lean |
2 |
73 |
['chrisflav', 'dagurtomas', 'github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'quantumsnow'] |
dagurtomas assignee:dagurtomas |
7-73349 7 days ago |
8-62050 8 days ago |
24-17113 24 days |
| 40779 |
tb65536 author:tb65536 |
chore(RingTheory/Localization/Ideal): add `liesOver_map_of_isPrime_disjoint` |
This PR adds `liesOver_map_of_isPrime_disjoint`, a restatement of `under_map_of_isPrime_disjoint` that already "exists in the wild".
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|
t-ring-theory
t-algebra
label:t-algebra$ |
7/3 |
Mathlib/RingTheory/Etale/QuasiFinite.lean,Mathlib/RingTheory/Localization/Ideal.lean |
2 |
1 |
['github-actions'] |
nobody |
7-70360 7 days ago |
7-70407 7 days ago |
7-70059 7 days |
| 40827 |
FrankieNC author:FrankieNC |
feat(MeasureTheory): coercion of a finite sum of scalar multiples in Lp |
Adds `Lp.coeFn_finsetSum_smul`: for a finite set `s`, scalars `c : ι → 𝕜`, and a family `f : ι → Lp E p μ`, the coercion of `∑ i ∈ s, c i • f i` is almost everywhere equal to `∑ i ∈ s, c i • ⇑(f i)`.
This is the finite-sum, scalar-multiple companion to `Lp.coeFn_smul` and `Lp.coeFn_finsetSum`.
|
t-measure-probability
brownian
|
6/0 |
Mathlib/MeasureTheory/Function/LpSpace/Basic.lean |
1 |
3 |
['CoolRmal', 'github-actions'] |
nobody |
7-67171 7 days ago |
7-73518 7 days ago |
8-33843 8 days |
| 33392 |
AntoineChambert-Loir author:AntoineChambert-Loir |
feat(LinearAlgebra/Transvection/Generation): non-exceptional case in Dieudonné's theorem |
We prove the theorem of [Dieudonné-1955][J. Dieudonné, “Sur les générateurs
des groupes classiques”].
Let `K` be a division ring and `V` be a `K`-module.
* `LinearEquiv.mem_transvections_pow_mul_dilatransvections_of_fixedReduce_eq_one`:
If `e.fixedReduce = 1`, then `e` can be written as the product
of `finrank K (V ⧸ e.fixedSubmodule) - 1` transvections
and one dilatransvection.
This is the first part of the non-exceptional case in Dieudonné's theorem.
(This statement is not interesting when `e = 1`.)
* `LinearEquiv.mem_transvections_pow_mul_dilatransvections_of_fixedReduce_ne_smul_id`:
If `e.fixedReduce` is not a homothety, then `e` can be written as the product
of `finrank K (V ⧸ e.fixedSubmodule) - 1` transvections and one dilatransvection.
This is the second part of the non-exceptional case in Dieudonné's theorem.
* `LinearEquiv.IsExceptional`:
A linear equivalence `e : V ≃ₗ[K] V` is exceptional if `1 < finrank K (V ⧸ e.fixedSubmodule)`
and if `e.fixedReduce` is a nontrivial homothety.
* `LinearEquiv.mem_dilatransvections_pow_of_notIsExceptional`:
This is the non-exceptional case in Dieudonné's theorem,
as a combination of the two preceding statements.
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|
t-algebra label:t-algebra$ |
550/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Center.lean,Mathlib/LinearAlgebra/LinearIndependent/Lemmas.lean,Mathlib/LinearAlgebra/Transvection/Generation.lean |
4 |
22 |
['AntoineChambert-Loir', 'dagurtomas', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'riccardobrasca'] |
riccardobrasca assignee:riccardobrasca |
7-60392 7 days ago |
7-62426 7 days ago |
89-32809 89 days |
| 34179 |
alreadydone author:alreadydone |
refactor(Algebra): weaken NormalizationMonoid |
This PR replaces the two fields
```
normUnit_mul : ∀ {a b}, a ≠ 0 → b ≠ 0 → normUnit (a * b) = normUnit a * normUnit b
normUnit_coe_units : ∀ u : αˣ, normUnit u = u⁻¹
```
in the definition of NormalizationMonoid by
```
normUnit_one : normUnit 1 = 1
normUnit_mul_units {a : α} (u : αˣ) : a ≠ 0 → normUnit (a * u) = u⁻¹ * normUnit a
```
and rename the old version to StrongNormalizationMonoid. The vast majority of API continue to hold under this weakened notion of NormalizationMonoid; only a handful requires the original notion.
Every cancellative monoid with zero admits a weakened NormalizationMonoid structure, and every GCDMonoid admits a weakened NormalizedGCDMonoid structure.
This allows us to generalize [Polynomial.normalizedGcdMonoid](https://leanprover-community.github.io/mathlib4_docs/Mathlib/RingTheory/Polynomial/Content.html#Polynomial.normalizedGcdMonoid) to all GCDMonoids.
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|
t-ring-theory
t-algebra
label:t-algebra$ |
488/356 |
Mathlib/Algebra/GCDMonoid/Basic.lean,Mathlib/Algebra/GCDMonoid/Finset.lean,Mathlib/Algebra/GCDMonoid/IntegrallyClosed.lean,Mathlib/Algebra/GCDMonoid/Multiset.lean,Mathlib/Algebra/GCDMonoid/Nat.lean,Mathlib/Algebra/GCDMonoid/PUnit.lean,Mathlib/Algebra/GroupWithZero/Associated.lean,Mathlib/Algebra/Polynomial/FieldDivision.lean,Mathlib/NumberTheory/FLT/Basic.lean,Mathlib/RingTheory/ChainOfDivisors.lean,Mathlib/RingTheory/DedekindDomain/Ideal/Basic.lean,Mathlib/RingTheory/DedekindDomain/Ideal/Lemmas.lean,Mathlib/RingTheory/Polynomial/Content.lean,Mathlib/RingTheory/Polynomial/Cyclotomic/Expand.lean,Mathlib/RingTheory/Polynomial/GaussLemma.lean,Mathlib/RingTheory/PowerSeries/Inverse.lean,Mathlib/RingTheory/PrincipalIdealDomain.lean,Mathlib/RingTheory/RootsOfUnity/Minpoly.lean,Mathlib/RingTheory/UniqueFactorizationDomain/ClassGroup.lean,Mathlib/RingTheory/UniqueFactorizationDomain/Finite.lean,Mathlib/RingTheory/UniqueFactorizationDomain/GCDMonoid.lean,Mathlib/RingTheory/UniqueFactorizationDomain/Multiplicative.lean,Mathlib/RingTheory/UniqueFactorizationDomain/Multiplicity.lean,Mathlib/RingTheory/UniqueFactorizationDomain/NormalizedFactors.lean |
24 |
36 |
['alreadydone', 'erdOne', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts'] |
erdOne and riccardobrasca assignee:riccardobrasca assignee:erdOne |
7-58785 7 days ago |
21-64158 21 days ago |
30-69362 30 days |
| 39736 |
NoahW314 author:NoahW314 |
feat(RingTheory/MvPolynomial/MonomialOrder): add `leadingTerm` lemmas |
Add lemmas for `leadingTerm` to match those for `leadingCoeff`.
---
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|
t-ring-theory |
87/0 |
Mathlib/RingTheory/MvPolynomial/MonomialOrder.lean |
1 |
5 |
['Hagb', 'NoahW314', 'github-actions'] |
faenuccio assignee:faenuccio |
7-56245 7 days ago |
36-12962 36 days ago |
36-12613 36 days |
| 39799 |
NoahW314 author:NoahW314 |
chore(RingTheory/Ideal/Operations): deprecate duplicate theorem `Ideal.span_mul_span'` |
`Ideal.span_mul_span'` is identical to `Ideal.span_mul_span`.
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At one point, `Ideal.span_mul_span` and `Ideal.span_mul_span'` were distinct, but `Ideal.span_mul_span` was changed in #22151 to be identical to `Ideal.span_mul_span'`. |
t-ring-theory |
6/7 |
Mathlib/RingTheory/GradedAlgebra/Homogeneous/Ideal.lean,Mathlib/RingTheory/Ideal/Norm/RelNorm.lean,Mathlib/RingTheory/Ideal/Operations.lean,scripts/nolints_prime_decls.txt |
4 |
2 |
['faenuccio', 'github-actions'] |
faenuccio assignee:faenuccio |
7-55367 7 days ago |
34-18019 34 days ago |
34-17670 34 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 `totalVariation_eq_variation`: if `μ` is a `SignedMeasure` then variation defined as a supremum (`MeasureTheory.VectorMeasure.variation`) is equal to variation defined using the Hahn-Jordan decomposition (`MeasureTheory.SignedMeasure.totalVariation`) .
- [ ] depends on #26165
Co-authored-by: @yoh-tanimoto
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|
t-measure-probability |
160/0 |
Mathlib.lean,Mathlib/MeasureTheory/VectorMeasure/Decomposition/Jordan.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Basic.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/SignedMeasure.lean,Mathlib/Order/Partition/Finpartition.lean |
5 |
10 |
['github-actions', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'oliver-butterley', 'yoh-tanimoto'] |
kex-y assignee:kex-y |
7-55095 7 days ago |
7-55971 7 days ago |
28-23390 28 days |
| 39709 |
justus-springer author:justus-springer |
feat(RingTheory/): `MvPolynomial` is standard smooth |
Add the trivial submersive presentation for `MvPolynomial` and show that `MvPolynomial` is standard smooth over its base ring. This will be used to show that affine space is smooth in #39710.
- [x] depends on: #39708
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|
t-ring-theory |
47/0 |
Mathlib/RingTheory/Extension/Presentation/Basic.lean,Mathlib/RingTheory/Extension/Presentation/Submersive.lean,Mathlib/RingTheory/Smooth/StandardSmooth.lean |
3 |
4 |
['faenuccio', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
faenuccio assignee:faenuccio |
7-52138 7 days ago |
7-52183 7 days ago |
32-44289 32 days |
| 32829 |
Hagb author:Hagb |
feat(Data/Finsupp/MonomialOrder): weaken `IsOrderedCancelAddMonoid` to `IsOrderedAddMonoid` |
`IsOrderedCancelAddMonoid syn` (`.iocam`) can be obtained from
`IsOrderedAddMonoid syn` and other fields.
---
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|
t-order |
7/2 |
Mathlib/Data/Finsupp/MonomialOrder.lean |
1 |
10 |
['Hagb', 'Vierkantor', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
7-47910 7 days ago |
7-48736 7 days ago |
7-85656 7 days |
| 40835 |
Gracie-z author:Gracie-z |
feat(Probability): add Paley-Zygmund inequality |
Add the Paley-Zygmund inequality: for a nonneg random variable Z with finite variance and 0 ≤ θ ≤ 1,
(1-θ)² E[Z]² ≤ E[Z²] · P(Z > θ E[Z]).
The proof uses Jensen's inequality applied to x² on the set {Z > θ E[Z]}.
AI disclosure: I used Claude Code as a learning aid while writing this proof. It helped me find the right Mathlib lemma names and understand tactic syntax, but I wrote every line of code myself.
---
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|
t-measure-probability
new-contributor
|
85/0 |
Mathlib.lean,Mathlib/Probability/PaleyZygmund.lean |
2 |
20 |
['CoolRmal', 'Gracie-z', 'SnirBroshi', 'github-actions'] |
nobody |
7-44353 7 days ago |
7-46794 7 days ago |
8-6216 8 days |
| 40851 |
SnirBroshi author:SnirBroshi |
feat(MeasureTheory/Integral/MeanInequalities): strict Hölder's inequality for Lebesgue integrals |
Prove an iff for the equality case of Hölder's inequality when both norms are finite and non-zero.
---
For both the norm 1 theorems and the finite non-zero theorems I extracted an intermediate lemma to reduce duplication between the inequality and equality cases.
It looks to me like `funMulInvSnorm` is intended to be private, so I made new theorems about it private.
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|
t-measure-probability |
93/38 |
Mathlib/MeasureTheory/Integral/Lebesgue/Markov.lean,Mathlib/MeasureTheory/Integral/MeanInequalities.lean |
2 |
1 |
['github-actions'] |
nobody |
7-41581 7 days ago |
7-44795 7 days ago |
7-44446 7 days |
| 34908 |
CoolRmal author:CoolRmal |
feat(GroupTheory): a characteristic subgroup of a characteristic subgroup is characteristic |
The main theorem proved in this PR is `characteristic_of_characteristic_of_characteristic`. If says that if `K` is a characteristic subgroup of a characteristic subgroup `H` of `G`, then `K` is a characteristic subgroup of `G`.
Created with the help of Codex.
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|
t-algebra
t-group-theory
LLM-generated
label:t-algebra$ |
25/0 |
Mathlib/Algebra/Group/Subgroup/Basic.lean |
1 |
22 |
['CoolRmal', 'github-actions', 'robin-carlier', 'tb65536'] |
riccardobrasca assignee:riccardobrasca |
7-18005 7 days ago |
29-45754 29 days ago |
40-7888 40 days |
| 38324 |
BryceT233 author:BryceT233 |
chore(RingTheory/AdicCompletion): make `AdicCompletion.map` linear on linear maps |
This PR upgrades `AdicCompletion.map` to be an R-linear map on the space of linear maps `M →ₗ[R] N`.
---
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t-ring-theory |
38/12 |
Mathlib/RingTheory/AdicCompletion/Basic.lean,Mathlib/RingTheory/AdicCompletion/Functoriality.lean |
2 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
mattrobball assignee:mattrobball |
7-18003 7 days ago |
65-22628 65 days ago |
68-4985 68 days |
| 39078 |
fpvandoorn author:fpvandoorn |
feat: add lemmas about products over Finset.Iio |
* Mostly useful for `ℕ`
* I added the `Finset.Iic` lemmas by symmetry, but I'm happy to remove them if we think they are redundant.
---
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|
t-algebra label:t-algebra$ |
29/0 |
Mathlib/Algebra/Order/BigOperators/Group/LocallyFinite.lean |
1 |
1 |
['github-actions'] |
kim-em assignee:kim-em |
7-18001 7 days ago |
50-64494 50 days ago |
50-64145 50 days |
| 40379 |
peabrainiac author:peabrainiac |
refactor(Topology/Algebra): use `IsOpenUnits` more widely |
Mathlib currently has a typeclass `IsOpenUnits` for topological monoids for which `Units.val : Mˣ → M` is an open embedding, but provides lemmas like `Units.isOpenEmbedding_val` and `Units.isOpenMap_val` only in special cases like normed rings and groups instead of for all monoids with this property. This PR fixes that by providing an `IsOpenUnits`-instance for normed rings and generalising those lemmas to use the typeclass instead. To do this without increasing imports of `Mathlib.Analysis.Normed.Ring.Units` significantly, we also move `IsOpenUnits.of_isAdic` from `Mathlib.Topology.Algebra.IsOpenUnits` to `Mathlib.Topology.Algebra.Nonarchimedean.AdicTopology`.
The PR also contains two new API lemmas that ended up in the commit history earlier when the scope I had in mind for this PR was slightly larger; they are relatively self-explanatory so I hope they should be easy to review, but if not I can also move them to a follow-up PR.
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|
t-algebra
t-topology
t-analysis
large-import
label:t-algebra$ |
154/107 |
Mathlib/Analysis/Normed/Algebra/Spectrum.lean,Mathlib/Analysis/Normed/Ring/Units.lean,Mathlib/Topology/Algebra/Constructions.lean,Mathlib/Topology/Algebra/Group/Basic.lean,Mathlib/Topology/Algebra/IsOpenUnits.lean,Mathlib/Topology/Algebra/Nonarchimedean/AdicTopology.lean,Mathlib/Topology/ContinuousMap/Units.lean |
7 |
5 |
['github-actions', 'j-loreaux', 'peabrainiac'] |
alreadydone assignee:alreadydone |
7-17999 7 days ago |
9-1756 9 days ago |
16-78164 16 days |
| 36018 |
wwylele author:wwylele |
feat(LinearAlgebra/AffineSpace): parallel cross-section of a simplex |
This shows that the intersection of `AffineSubspace.shift` of the base of a simplex and the interior of the simplex is a smaller simplex. This is preparing to calculate the volume of a simplex by integrating this cross-section. Part of #37910.
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|
t-algebra
large-import
maintainer-merge
label:t-algebra$ |
133/1 |
Mathlib/LinearAlgebra/AffineSpace/AffineSubspace/Shift.lean,Mathlib/LinearAlgebra/AffineSpace/Simplex/Basic.lean |
2 |
17 |
['alreadydone', 'copilot-pull-request-reviewer', 'github-actions', 'mathlib-bors', 'mathlib-dependent-issues', 'wwylele'] |
alreadydone assignee:alreadydone |
7-11578 7 days ago |
26-55162 26 days ago |
69-15685 69 days |
| 40228 |
thorimur author:thorimur |
chore: clean up `backward.privateInPublic` around `d₂₃` |
Moves a single-use private declaration into a let declaration.
This reduces instructions in that file by ~29% (but this gets swallowed in the overall noise).
Note: currently `LieModule.Cohomology.d₂₃_aux._proof_17` is the biggest proof in mathlib (counted with sharing) :) This PR changes it to `CategoryTheory.Functor.IsDenseSubsite.isIso_ranCounit_app_of_isDenseSubsite`.
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t-algebra
tech debt
maintainer-merge
label:t-algebra$ |
11/17 |
Mathlib/Algebra/Lie/Cochain.lean |
1 |
26 |
['JovanGerb', 'b-mehta', 'github-actions', 'grunweg', 'leanprover-radar', 'mathlib-merge-conflicts', 'thorimur'] |
jjdishere assignee:jjdishere |
6-74901 6 days ago |
18-41113 18 days ago |
22-70886 22 days |
| 40604 |
xroblot author:xroblot |
feat(Algebra.GroupWithZero): generalize SMulZeroClass to MonoidWithZero and lift MulDistribMulAction to nonZeroDivisors |
Generalize the instance `SMulZeroClass α β` under `[Group α] [GroupWithZero β] [MulDistribMulAction α β]`to `[Group α] [MonoidWithZero β] [MulDistribMulAction α β]`.
From an action `[Group G] [MonoidWithZero M] [MulDistribMulAction G M]`, use this instance to construct an action on the nonzero divisors of 'M'.
**No diamond**: there is no general instance giving an action on a submonoid as a target (that would need the submonoid to be invariant, which isn't automatic), so defining the action on `nonZeroDivisors` should not clash with anything .
:robot: This PR was extracted from the [SKW project](https://github.com/xroblot/SKW) by Claude. |
t-algebra label:t-algebra$ |
55/6 |
Mathlib/Algebra/GroupWithZero/Action/Defs.lean,Mathlib/Algebra/GroupWithZero/NonZeroDivisors.lean,Mathlib/Algebra/Ring/Action/ConjAct.lean |
3 |
2 |
['github-actions'] |
nobody |
6-57999 6 days ago |
6-57999 6 days ago |
8-35728 8 days |
| 35808 |
xroblot author:xroblot |
feat(RamificationInertia): splitting in the inertia field |
We add results about the splitting of the prime `p` in the inertia field `E` of `P`, prime over `p`, in a Galois extension `L/K`. Specifically, for `𝓟E` the prime of `E` below `P`:
- `P` is the unique prime of `B` above `𝓟E`
- the inertia degree of `𝓟E` in `L` equals `1`
- the inertia degree of `𝓟E` over `p` equals the inertia degree of `p` in `L`
- the ramification index of `𝓟E` in `L` equals that of `p` in `L`
- `𝓟E` is unramified over `p`
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|
t-algebra label:t-algebra$ |
97/0 |
Mathlib/NumberTheory/RamificationInertia/HilbertTheory.lean |
1 |
4 |
['github-actions', 'joneugster', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
6-54585 6 days ago |
6-55363 6 days ago |
7-78060 7 days |
| 40547 |
Marygold-Dusk author:Marygold-Dusk |
feat: submersions are `C^n` |
The conventional textbook definition demands that a submersion be smooth.
When asking for the submersion to have local slice charts (as we do), this implies smoothness automatically.
Co-authored-by: Michael Rothgang <rothgang@math.uni-bonn.de>. |
t-differential-geometry
new-contributor
maintainer-merge
|
57/7 |
Mathlib/Geometry/Manifold/Submersion.lean |
1 |
40 |
['Marygold-Dusk', 'github-actions', 'grunweg', 'sgouezel'] |
grunweg assignee:grunweg |
6-49845 6 days ago |
6-75218 6 days ago |
8-14854 8 days |
| 40855 |
NoahW314 author:NoahW314 |
feat(Data/ENNReal): add `sum_div` |
`Finset.sum_div` does not apply since `ℝ≥0∞` is not a `DivisionSemiring`. Although the proof of `Finset.sum_div` (and of this lemma) only needs `DivInvMonoid` and `NonUnitalNonAssocSemiring`, the best typeclass including these is `DivisionSemiring`.
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Removed the `open ENNReal` in `MeanInequalities` to avoid ambiguity with `Finset.sum_div`.
|
t-data |
7/1 |
Mathlib/Analysis/MeanInequalities.lean,Mathlib/Data/ENNReal/BigOperators.lean |
2 |
2 |
['SnirBroshi', 'github-actions'] |
nobody |
6-45201 6 days ago |
7-23418 7 days ago |
7-23607 7 days |
| 39427 |
Hagb author:Hagb |
feat(Order/Interval/Finset/Defs): `LocallyFiniteOrder{Bot,Top}` implies `WellFounded{LT,GT}` |
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|
t-order |
11/0 |
Mathlib/Order/Interval/Finset/Defs.lean |
1 |
5 |
['Hagb', 'github-actions', 'leanprover-radar', 'mathlib-dependent-issues'] |
nobody |
6-35357 6 days ago |
6-37080 6 days ago |
6-40758 6 days |
| 40829 |
FrankieNC author:FrankieNC |
feat(MeasureTheory): eLpNorm bound for a convex combination of functions |
Adds `eLpNorm_sum_smul_le`: if `w i ≥ 0` for `i ∈ s`, `∑ i ∈ s, w i = 1`, and each `eLpNorm (h i) 1 μ ≤ B`, then `eLpNorm (∑ i ∈ s, w i • h i) 1 μ ≤ B`. In other words, a convex combination of functions whose `L¹`-seminorms are bounded by `B` again has `L¹`-seminorm at most `B`. |
t-measure-probability
brownian
|
18/0 |
Mathlib/MeasureTheory/Function/LpSeminorm/TriangleInequality.lean |
1 |
4 |
['CoolRmal', 'FrankieNC', 'github-actions'] |
nobody |
6-27584 6 days ago |
6-28706 6 days ago |
8-16289 8 days |
| 40877 |
teorth author:teorth |
feat(Data/Nat/Prime): add not_prime_four and not_prime_six |
Mathlib already contains the lemmas `Nat.not_prime_zero`, `Nat.not_prime_one`, `Nat.prime_two`, `Nat.prime_three`, `Nat.prime_five`, `Nat.prime_seven`, and `Nat.prime.eleven` in `Data.Nat.Prime.Defs`. (See also a more general `not_prime_zero` and `not_prime_one` in `Algebra.Prime.Defs`.)
This PR fills in some holes by adding `Nat.not_prime_four` and `Nat.not_prime_six`. This permits for instance the ability to compute sums over primes up to `n` via `simp` type tactics for `n` as large as seven. One could of course continue filling in more holes but this should suffice for most applications, and it is obvious how to continue the pattern if needed.
---
[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
|
4/0 |
Mathlib/Data/Nat/Prime/Defs.lean |
1 |
2 |
['github-actions'] |
nobody |
6-26912 6 days ago |
6-29038 6 days ago |
6-28689 6 days |
| 39807 |
vihdzp author:vihdzp |
feat: universe-heterogeneous cardinal equality |
We introduce a predicate `LiftEq a b`, with notation `a =ₗ b`, which states that two cardinals (in different universes) are equal. This serves as a single canonical spelling for `lift.{v} a = lift.{u} b` and similar incantations.
Future PRs will introduce the analogous predicates for `<` and `≤`, and a notation typeclass so the notation can be reused for `Ordinal` and `OrderType`.
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|
t-set-theory |
319/152 |
Mathlib/Algebra/FreeAlgebra/Cardinality.lean,Mathlib/CategoryTheory/Abelian/GrothendieckCategory/EnoughInjectives.lean,Mathlib/FieldTheory/IsAlgClosed/Classification.lean,Mathlib/LinearAlgebra/Dimension/Basic.lean,Mathlib/LinearAlgebra/Dimension/Constructions.lean,Mathlib/LinearAlgebra/Dimension/Free.lean,Mathlib/LinearAlgebra/Dimension/FreeAndStrongRankCondition.lean,Mathlib/LinearAlgebra/Dimension/LinearMap.lean,Mathlib/LinearAlgebra/Dimension/StrongRankCondition.lean,Mathlib/ModelTheory/Basic.lean,Mathlib/ModelTheory/Satisfiability.lean,Mathlib/RingTheory/AlgebraicIndependent/Basic.lean,Mathlib/RingTheory/AlgebraicIndependent/RankAndCardinality.lean,Mathlib/RingTheory/AlgebraicIndependent/TranscendenceBasis.lean,Mathlib/RingTheory/LinearDisjoint.lean,Mathlib/RingTheory/Localization/Cardinality.lean,Mathlib/SetTheory/Cardinal/Aleph.lean,Mathlib/SetTheory/Cardinal/Arithmetic.lean,Mathlib/SetTheory/Cardinal/Basic.lean,Mathlib/SetTheory/Cardinal/Defs.lean,Mathlib/SetTheory/Cardinal/ENat.lean,Mathlib/SetTheory/Cardinal/Order.lean,Mathlib/SetTheory/Cardinal/ToNat.lean,Mathlib/SetTheory/Ordinal/Univ.lean,Mathlib/SetTheory/ZFC/Cardinal.lean |
25 |
2 |
['acmepjz', 'github-actions'] |
alreadydone assignee:alreadydone |
6-24961 6 days ago |
33-44042 33 days ago |
33-43935 33 days |
| 39720 |
vihdzp author:vihdzp |
feat: cofinality within order |
We introduce `Order.cofWithin x = Order.cof (Iio x)` for the cofinality of an element within a preorder. This generalizes `Ordinal.cof`, with the caveat that `cof o : Cardinal.{u}` for `o : Ordinal.{u}`, whereas `cofWithin o : Cardinal.{u + 1}`.
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|
t-set-theory
maintainer-merge
|
104/14 |
Mathlib/SetTheory/Cardinal/Basic.lean,Mathlib/SetTheory/Cardinal/Cofinality/Basic.lean,Mathlib/SetTheory/Cardinal/Cofinality/Ordinal.lean |
3 |
11 |
['SnirBroshi', 'YaelDillies', 'b-mehta', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
6-20247 6 days ago |
33-5436 33 days ago |
36-30956 36 days |
| 39372 |
yuanyi-350 author:yuanyi-350 |
refactor(NumberTheory): golf `Mathlib/NumberTheory/ModularForms/EisensteinSeries/MDifferentiable` |
- rewrites `eisensteinSeriesSIF_mdifferentiable` to use `UpperHalfPlane.mdifferentiable_iff` directly and conclude from local uniform convergence of the Eisenstein series
Extracted from #38144
[](https://gitpod.io/from-referrer/) |
codex
LLM-generated
|
1/6 |
Mathlib/NumberTheory/ModularForms/EisensteinSeries/MDifferentiable.lean |
1 |
3 |
['github-actions', 'mathlib-merge-conflicts', 'yuanyi-350'] |
nobody |
6-19179 6 days ago |
35-21641 35 days ago |
44-29497 44 days |
| 32983 |
JovanGerb author:JovanGerb |
feat: use `LE.le` for subset relation in `Set`, `Finset`, `PSet`, `ZFSet`, `Class` |
This PR uses `@[use_set_notation_for_order]` in `Set`, `Finset`, `PSet`, `ZFSet` and `Class`. So, for these types, we will write `⊆`, while the underlying constant is `LE.le`.
Some notes:
- The idea is to later extend this feature to other set notation constants, such as union/intersection.
- Dot notation on the `HasSubset.Subset` namespace now doesn't work anymore, and the names need to be put in the `LE.le` namespace instead.
- Various `simp` and `gcongr` tags needed to be removed/updated as a result of this change.
See also https://leanprover.zulipchat.com/#narrow/channel/113488-general/topic/Any.20infimum.20based.20version.20of.20.60OmegaCompletePartialOrder.60.3F/near/579333629
---
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|
t-data
t-meta
large-import
|
406/474 |
Mathlib/Algebra/Algebra/Subalgebra/Lattice.lean,Mathlib/Algebra/Group/Indicator.lean,Mathlib/Algebra/Group/Pointwise/Finset/Basic.lean,Mathlib/Algebra/Group/Pointwise/Set/Basic.lean,Mathlib/Algebra/GroupWithZero/Action/Pointwise/Finset.lean,Mathlib/Algebra/GroupWithZero/Action/Pointwise/Set.lean,Mathlib/Algebra/MvPolynomial/Monad.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Pow.lean,Mathlib/AlgebraicTopology/SimplicialSet/Horn.lean,Mathlib/Analysis/LocallyConvex/WeakSpace.lean,Mathlib/Analysis/Normed/Group/FunctionSeries.lean,Mathlib/Analysis/SpecialFunctions/Log/Summable.lean,Mathlib/CategoryTheory/CofilteredSystem.lean,Mathlib/CategoryTheory/Presentable/CardinalDirectedPoset.lean,Mathlib/CategoryTheory/Topos/Sheaf.lean,Mathlib/Combinatorics/Enumerative/Partition/GenFun.lean,Mathlib/Combinatorics/Hall/Basic.lean,Mathlib/Combinatorics/Matroid/Basic.lean,Mathlib/Combinatorics/Matroid/Constructions.lean,Mathlib/Combinatorics/Matroid/Dual.lean,Mathlib/Combinatorics/Matroid/Rank/Cardinal.lean,Mathlib/Combinatorics/SetFamily/AhlswedeZhang.lean,Mathlib/Combinatorics/SetFamily/KruskalKatona.lean,Mathlib/Combinatorics/SimpleGraph/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Ends/Defs.lean,Mathlib/Data/Finset/BooleanAlgebra.lean,Mathlib/Data/Finset/Defs.lean,Mathlib/Data/Finset/Filter.lean,Mathlib/Data/Finset/Image.lean,Mathlib/Data/Finset/Lattice/Basic.lean,Mathlib/Data/Finset/Option.lean,Mathlib/Data/Finset/Powerset.lean,Mathlib/Data/Finset/SDiff.lean,Mathlib/Data/Finset/Sups.lean,Mathlib/Data/Fintype/Card.lean,Mathlib/Data/Multiset/ZeroCons.lean,Mathlib/Data/Set/Basic.lean,Mathlib/Data/Set/Card.lean,Mathlib/Data/Set/Defs.lean,Mathlib/Data/Set/Disjoint.lean,Mathlib/Data/Set/Finite/Basic.lean,Mathlib/Data/Set/FiniteExhaustion.lean,Mathlib/Data/Set/Insert.lean,Mathlib/Data/Set/Notation.lean,Mathlib/Data/Set/Semiring.lean,Mathlib/Data/Set/Sups.lean,Mathlib/Data/SetLike/Basic.lean,Mathlib/Dynamics/Ergodic/Ergodic.lean,Mathlib/Dynamics/FixedPoints/Prufer.lean,Mathlib/Geometry/Manifold/VectorBundle/FiberwiseLinear.lean,Mathlib/GroupTheory/CosetCover.lean,Mathlib/GroupTheory/GroupAction/Blocks.lean,Mathlib/Lean/Expr/ExtraRecognizers.lean,Mathlib/LinearAlgebra/AffineSpace/Simplex/Basic.lean,Mathlib/Logic/Equiv/PartialEquiv.lean,Mathlib/MeasureTheory/Covering/LiminfLimsup.lean,Mathlib/MeasureTheory/Function/AEEqOfIntegral.lean,Mathlib/MeasureTheory/Integral/DominatedConvergence.lean,Mathlib/MeasureTheory/Integral/IntegralEqImproper.lean,Mathlib/MeasureTheory/MeasurableSpace/CountablyGenerated.lean,Mathlib/MeasureTheory/Measure/AEDisjoint.lean,Mathlib/MeasureTheory/Measure/Decomposition/RadonNikodym.lean,Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/MeasureTheory/Measure/MeasureSpaceDef.lean,Mathlib/MeasureTheory/Measure/Prokhorov.lean,Mathlib/MeasureTheory/Measure/Regular.lean,Mathlib/MeasureTheory/Measure/Stieltjes.lean,Mathlib/MeasureTheory/Measure/Typeclasses/Finite.lean,Mathlib/MeasureTheory/Measure/Typeclasses/SFinite.lean,Mathlib/MeasureTheory/SetSemiring.lean,Mathlib/NumberTheory/WellApproximable.lean,Mathlib/Order/Birkhoff.lean,Mathlib/Order/BooleanAlgebra/Set.lean,Mathlib/Order/Bounds/Basic.lean,Mathlib/Order/Defs/PartialOrder.lean,Mathlib/Order/Filter/AtTopBot/Finset.lean,Mathlib/Order/Filter/Basic.lean,Mathlib/Order/Filter/CountableInter.lean,Mathlib/Order/Filter/Ker.lean,Mathlib/Order/Heyting/Basic.lean,Mathlib/Order/Interval/Finset/Defs.lean,Mathlib/Order/LiminfLimsup.lean,Mathlib/Order/PrimeSeparator.lean,Mathlib/Order/RelClasses.lean,Mathlib/Probability/Process/HittingTime.lean,Mathlib/RingTheory/AlgebraicIndependent/TranscendenceBasis.lean,Mathlib/RingTheory/Polynomial/Cyclotomic/Eval.lean,Mathlib/RingTheory/Spectrum/Prime/Module.lean,Mathlib/SetTheory/ZFC/Basic.lean,Mathlib/SetTheory/ZFC/Class.lean,Mathlib/SetTheory/ZFC/Ordinal.lean,Mathlib/SetTheory/ZFC/PSet.lean,Mathlib/Tactic/SetNotationForOrder.lean,Mathlib/Topology/Algebra/InfiniteSum/Constructions.lean,Mathlib/Topology/Algebra/InfiniteSum/SummationFilter.lean,Mathlib/Topology/Algebra/Nonarchimedean/TotallyDisconnected.lean,Mathlib/Topology/Category/TopCat/Limits/Konig.lean,Mathlib/Topology/Compactness/SigmaCompact.lean,Mathlib/Topology/ExtremallyDisconnected.lean,Mathlib/Topology/Instances/CantorSet.lean |
110 |
69 |
['JovanGerb', 'Vierkantor', 'b-mehta', 'eric-wieser', 'github-actions', 'j-loreaux', 'joneugster', 'leanprover-radar', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'plp127', 'sgraf812', 'thorimur'] |
eric-wieser assignee:eric-wieser |
6-17992 6 days ago |
16-53167 16 days ago |
42-24789 42 days |
| 37716 |
slavanaprienko author:slavanaprienko |
feat(LinearAlgebra/Matrix/Determinant): Desnanot-Jacobi identity |
This PR adds the Desnanot-Jacobi identity (also known as the Lewis Carroll identity or Dodgson condensation): for any (n+2)×(n+2) matrix M over a commutative ring,
$$\det(M) \cdot \det(M_{1,n}^{1,n}) = \det(M_1^1) \cdot \det(M_n^n) - \det(M_1^n) \cdot \det(M_n^1)$$
The proof follows Bressoud's *Proofs and Confirmations* (Cambridge University Press, 1999): multiply M by an auxiliary matrix built from columns of the adjugate, then compare determinants. This yields the identity premultiplied by det(M). To cancel, we pass to a universal polynomial ring (an integral domain with nonzero determinant), then specialize back to arbitrary commutative rings.
It seems there's some interest in adding this:
https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Determinantal.20identity.20and.20the.20Cauchy.20matrix.20determinant/with/582946873
--- |
t-algebra
new-contributor
label:t-algebra$ |
217/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Matrix/Determinant/DesnanotJacobi.lean |
2 |
13 |
['SnirBroshi', 'github-actions', 'grunweg', 'kim-em', 'slavanaprienko'] |
ocfnash assignee:ocfnash |
6-17990 6 days ago |
47-37736 47 days ago |
48-75617 48 days |
| 38979 |
ldct author:ldct |
feat(EReal): simplify nat + ⊤ |
Alternative version of https://github.com/leanprover-community/mathlib4/pull/38975
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|
t-data |
28/2 |
Mathlib/Data/EReal/Basic.lean,Mathlib/Data/EReal/Operations.lean,MathlibTest/EReal.lean |
3 |
6 |
['SnirBroshi', 'eric-wieser', 'github-actions', 'ldct', 'leanprover-radar'] |
TwoFX assignee:TwoFX |
6-17989 6 days ago |
52-58726 52 days ago |
52-58507 52 days |
| 39588 |
jvanwinden author:jvanwinden |
feat(MeasureTheory/Measure/ProbabilityMeasure): add toProbabilityMeasure and basic API |
Introduces `Measure.toProbabilityMeasure`, which converts a `Measure` into a `ProbabilityMeasure` in the presence of the typeclass assumption `[IsProbabilityMeasure]`. Some basic API is added for the interaction between `toProbabilityMeasure` and the coercion from `ProbabilityMeasure` to `Measure`. The main convenience is that the new method allows for dot notation on `Measure`.
This PR arose from the following situation: I needed to prove equality of two `Measure` objects, and I wanted to do this by using uniqueness of limits. But the topology of weak convergence is only defined on `ProbabilityMeasure` and not on `Measure`. With the new lemma `toProbabilityMeasure_inj`, an equality of measures can easily be rewritten into an equality of the corresponding probability measures, after which `tendsto_nhds_unique` can be applied.
Aside from this, `toProbabilityMeasure` has the potential to simplify theorem statements about `Measure` objects which use the topology of weak convergence either in the assumptions or the conclusion. For example, now one can simply write `Tendsto μ.toProbabilityMeasure f (nhds μ_lim.toProbabilityMeasure)` when appropriate `[IsProbabilityMeasure]` assumptions are present.
This PR is intended as a starting point for a discussion. I only added some basic API, but perhaps more lemmas should be added (which ones?). Also, a similar definition could be made for `FiniteMeasure`.
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|
t-measure-probability |
20/2 |
Mathlib/MeasureTheory/Measure/ProbabilityMeasure.lean |
1 |
2 |
['EtienneC30', 'github-actions'] |
urkud assignee:urkud |
6-17987 6 days ago |
39-41227 39 days ago |
39-40878 39 days |
| 40720 |
mathlib-splicebot author:mathlib-splicebot |
chore(Geometry/Manifold/ContMDiff/Atlas): generalise `mem_maximalAtlas_of_contMDiffOn` and friends |
These lemmas were only stated about maps on the underlying topological space `H`. They should be generalised to include charts of the manifold `M`. This comes up when proving that diffeomorphisms are immersions (by hand) and also when defining quotient manifolds.
Follow-up to #40632. |
t-differential-geometry |
24/11 |
Mathlib/Geometry/Manifold/ContMDiff/Atlas.lean |
1 |
1 |
['github-actions'] |
PatrickMassot assignee:PatrickMassot |
6-17983 6 days ago |
10-53316 10 days ago |
10-52967 10 days |
| 40876 |
vihdzp author:vihdzp |
chore: deprecate `StrictMono.not_bddAbove_range_of_wellFoundedLT` → `StrictMono.isCofinal_range` |
In a linear order without a maximum, the statements `¬ BddAbove s` and `IsCofinal s` are equivalent. The `IsCofinal` version of this theorem works even without the `NoMaxOrder` assumption, so it is strictly more general.
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|
t-order |
18/1 |
Mathlib/Order/Cofinal.lean,Mathlib/Order/WellFounded.lean,Mathlib/SetTheory/Ordinal/Enum.lean |
3 |
5 |
['SnirBroshi', 'github-actions', 'vihdzp'] |
nobody |
6-12722 6 days ago |
6-30747 6 days ago |
6-30596 6 days |
| 40694 |
pechersky author:pechersky |
feat(Algebra/Group/Hom): upgrade a MulHom to a MonoidHomClass when codomain is left-cancellative |
Allows for easier manipulation when inv and div is taken over terms mapped by MulHoms
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|
t-algebra
easy
maintainer-merge
label:t-algebra$ |
17/0 |
Mathlib/Algebra/Group/Hom/Defs.lean |
1 |
13 |
['github-actions', 'jjdishere', 'leanprover-radar', 'pechersky', 'riccardobrasca'] |
nobody |
5-81238 5 days ago |
8-59562 8 days ago |
9-71579 9 days |
| 40797 |
joelriou author:joelriou |
refactor(CategoryTheory): more data in the PushoutObjObj structure |
Given a bifunctor `F : C₁ ⥤ C₂ ⥤ C₃`, and morphisms `f₁ : X₁ ⟶ Y₁` in `C₁` and `f₂ : X₂ ⟶ Y₂` in `C₂`, one can form a commutative square in the category `C₃`, and the `PushoutObjObj` structure contains the data of a pushout of the top and left maps in this square. Then, `PushoutObjObj.ι` is the induced map from the pushout to the bottom-right object of the square.
Until this PR, `PushoutObjObj.ι` was a definition. In this PR, we make it a field of the structure `PushoutObjObj` instead. This allows a better control on the definitional properties of `ι`. This already simplifies proofs in the file `Mathlib/AlgebraicTopology/SimplicialSet/AnodyneExtensions/PushoutProduct.lean` and I plan to take advantage of this in the formalization of the Reedy model category structure https://github.com/joelriou/reedy because in the study of similar structures for trifunctors obtained as compositions of bifunctors, these `ι` will appear as parameters of certain dependent types.
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|
t-category-theory |
74/132 |
Mathlib/AlgebraicTopology/SimplicialSet/AnodyneExtensions/Inner/PushoutProduct.lean,Mathlib/AlgebraicTopology/SimplicialSet/AnodyneExtensions/PushoutProduct.lean,Mathlib/AlgebraicTopology/SimplicialSet/PushoutProduct.lean,Mathlib/CategoryTheory/Limits/Shapes/Pullback/PullbackObjObj.lean,Mathlib/CategoryTheory/Monoidal/Braided/PushoutObjObj.lean,Mathlib/CategoryTheory/Monoidal/PushoutProduct.lean |
6 |
6 |
['github-actions', 'smorel394'] |
dagurtomas assignee:dagurtomas |
5-78111 5 days ago |
5-78952 5 days ago |
8-73276 8 days |
| 40584 |
CoolRmal author:CoolRmal |
chore(Order): add to_dual tags in Mathlib/Order/ConditionallyCompleteLattice/Indexed |
This PR adds `to_dual` tags in `Mathlib/Order/ConditionallyCompleteLattice/Indexed`. I also add `to_dual` tags to some lemmas in `Mathlib/Order/ConditionallyCompleteLattice/Basic` in order to make `to_dual` works in `Mathlib/Order/ConditionallyCompleteLattice/Indexed`.
Created with the help of codex. |
t-order |
61/188 |
Mathlib/Order/ConditionallyCompleteLattice/Basic.lean,Mathlib/Order/ConditionallyCompleteLattice/Indexed.lean |
2 |
3 |
['SnirBroshi', 'github-actions'] |
nobody |
5-76242 5 days ago |
5-79015 5 days ago |
14-9107 14 days |
| 40864 |
xroblot author:xroblot |
feat(RingTheory/Localization/FractionRing): add IsFractionRing.fixingSubgroup_range_algebraMap |
Adds `IsFractionRing.fixingSubgroup_range_algebraMap`: if `K` and `L` are the fraction fields of `A` and `B` with `A ⊆ B`, then for `G` acting on `B` and on `L`, the fixing subgroup of (the image of) `A` in `B` equals the fixing subgroup of `K` in `L`.
This lemma was split out of #38864, and is used here to golf the proof of `IsGaloisGroup.fixingSubgroup_range_algebraMap`.
|
t-ring-theory |
24/14 |
Mathlib/FieldTheory/Galois/IsGaloisGroup.lean,Mathlib/RingTheory/Localization/FractionRing.lean |
2 |
1 |
['github-actions'] |
nobody |
5-75260 5 days ago |
6-57937 6 days ago |
6-58478 6 days |
| 37930 |
vlad902 author:vlad902 |
chore(SimpleGraph): move `cycleGraph` to its own file |
PR #34797 re-defined `cycleGraph` independent of `circulantGraph`. Now move the definition of `cycleGraph` to its own file so that the definition can be used without importing the algebra hierarchy.
---
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|
t-combinatorics
maintainer-merge
|
171/146 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Circulant.lean,Mathlib/Combinatorics/SimpleGraph/CycleGraph.lean |
3 |
6 |
['YaelDillies', 'github-actions', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
5-74027 5 days ago |
5-74924 5 days ago |
58-31398 58 days |
| 40745 |
teorth author:teorth |
feat(Data/Set/Basic,Data/Finset/Empty): forall_mem_const for nonempty s |
Add variants of the `forall_const` `@simp` lemma that localize to a `Nonempty` `Set` or `Finset`. Here we use the instance form of `Nonempty` (in contrast to the existing `Finset.Nonempty.forall_const`) in order to make `simp` work painlessly.
---
Update: as per reviewer request, ~~the `@simp` tags have been dropped and~~ a further `Set.Nonempty.forall_const` lemma has been added.
[](https://gitpod.io/from-referrer/)
|
t-data
new-contributor
maintainer-merge
|
12/0 |
Mathlib/Data/Finset/Empty.lean,Mathlib/Data/Set/Basic.lean |
2 |
14 |
['github-actions', 'leanprover-radar', 'teorth', 'themathqueen'] |
nobody |
5-70173 5 days ago |
9-43702 9 days ago |
9-70809 9 days |
| 40663 |
Vierkantor author:Vierkantor |
feat: solve equalities of instances in `convert` |
This PR sets the `preTransparency` of `convert` to `.instances`, which means it will not run congruence on goals that already are equal at `.instances` transparency. In other words, `convert` (without exclamation) should leave no goals of the form `instA.toC = instB.toC`.
There are 387 (~ 8.5%) additional `convert!` calls in Mathlib that could become `convert` after this change, in addition to 2626 (~ 57,8%) where `convert` already succeeds at reducible transparency. I found no cases where `postTransparency := .instances` would be needed instead.
Full breakdown of stats, according to the test script below and passing the captured log messages to `sort | uniq -c`:
* 2626 `convert` would work
* 1513 `convert!` (i.e. `convert (postTransparency := .default)`) is required
* 387 `convert (preTransparency := .instances)` is required
* 16 cause an error in the test script
The test script consists of replacing the elaborator for `convert` with:
```lean
def sameGoals (gs₁ gs₂ : List MVarId) : MetaM Bool := do
if gs₁.length == gs₂.length then
try
(gs₁.zip gs₂).allM fun (g₁, g₂) => do
-- Check that they agree on the set of free variables, otherwise we get errors.
-- We assume the context in the `convert` case is a subset of the `convert!` case
-- since `convert!` can more agressively unfold and introduce more variables.
if !(← g₁.getDecl).lctx.isSubPrefixOf (← g₂.getDecl).lctx then return false
g₂.withContext <| withReducible <| isDefEq (← g₁.getType) (← g₂.getType)
catch _ => return false
else
return false
elab_rules : tactic
| `(tactic| convert $[!%$expensive]? $cfg $[←%$sym]? $term $[using $n]? $[with $ps?*]?) =>
withMainContext do
let actualConfig ← Convert.elabConfig expensive.isSome cfg
let cheapConfig ← Convert.elabConfig false cfg
let redConfig := { cheapConfig with
preTransparency := .reducible, postTransparency := .reducible }
let preInstConfig := { cheapConfig with
preTransparency := .instances, postTransparency := .reducible }
let postInstConfig := { cheapConfig with
postTransparency := .instances, preTransparency := .reducible }
let patterns := (ps?.getD #[]).toList
let expectedType ← mkFreshExprMVar (mkSort (← getLevel (← getMainTarget)))
let (e, gs) ← elabTermForConvert term expectedType
liftMetaTactic fun g ↦ do
-- Don't retain metavar assignments but do retain messages.
let msgs ← withoutModifyingState do
try
let actualGoals ← g.convert e sym.isSome (n.map (·.getNat)) actualConfig patterns
let redGoals ← g.convert e sym.isSome (n.map (·.getNat)) redConfig patterns
if ← sameGoals actualGoals redGoals then
logInfo m!"convert(reducible)"
else
let preInstGoals ← g.convert e sym.isSome (n.map (·.getNat)) preInstConfig patterns
if ← sameGoals actualGoals preInstGoals then
logInfo m!"convert(preInst)"
else
let postInstGoals ← g.convert e sym.isSome (n.map (·.getNat)) postInstConfig patterns
if ← sameGoals actualGoals postInstGoals then
logInfo m!"convert(postInst)"
else if expensive.isSome then
logInfo m!"convert(expensive)"
else
logInfo m!"convert(error)"
catch e =>
logInfo m!"convert(error {e.toMessageData})"
pure ()
Core.getMessageLog
Core.setMessageLog msgs
return (← g.convert e sym.isSome (n.map (·.getNat)) actualConfig patterns) ++ gs
```
---
Ideally we'd run a benchmark on this PR, or even better one that compares `preTransparency` and `postTransparency`. But we don't have a lot of calls to plain `convert` yet, since I'd want to wait for the migration until #38071 is merged.
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|
t-meta |
68/3 |
Mathlib/Geometry/Euclidean/Incenter.lean,Mathlib/NumberTheory/ClassNumber/AdmissibleCardPowDegree.lean,Mathlib/Tactic/Convert.lean,MathlibTest/Tactic/Convert/Instances.lean |
4 |
6 |
['JovanGerb', 'Vierkantor', 'github-actions', 'leanprover-radar'] |
nobody |
5-67242 5 days ago |
8-68067 8 days ago |
8-73158 8 days |
| 40812 |
karlesmarin author:karlesmarin |
feat(RingTheory/HopfAlgebra): the antipode is the unique convolution … |
…inverse of the identity
Add `HopfAlgebra.eq_antipode_of_convMul_id` and `HopfAlgebra.eq_antipode_of_id_convMul`: any R-linear map that is a one-sided convolution inverse of the identity equals the antipode. The proof is `left_inv_eq_right_inv` in the convolution monoid `WithConv (A →ₗ[R] A)`, using the two antipode axioms. This resolves the "uniqueness of Hopf algebra structure on a bialgebra" TODO and is the companion (uniqueness) to the existing `ofConvInverse` constructor (existence).
**AI disclosure.** This contribution was written with AI assistance (Claude, used as a coding assistant). I have reviewed and understand the proof and can justify the design. The result — uniqueness of the antipode — is classical; the contribution is its Lean formalization.
---
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
LLM-generated
|
21/3 |
Mathlib/RingTheory/HopfAlgebra/Basic.lean |
1 |
5 |
['github-actions', 'karlesmarin', 'themathqueen'] |
nobody |
5-61488 5 days ago |
8-58846 8 days ago |
8-58497 8 days |
| 40735 |
tb65536 author:tb65536 |
feat(NumberTheory/NumberField/AdeleRing): define the idele class group |
This PR defines the idele class group and the maps from the completions at finite places. This will be used to define Hecke L-Functions.
---
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[](https://gitpod.io/from-referrer/)
|
t-number-theory
t-algebra
label:t-algebra$ |
82/5 |
Mathlib/NumberTheory/NumberField/AdeleRing.lean,Mathlib/NumberTheory/NumberField/InfiniteAdeleRing.lean,Mathlib/RingTheory/DedekindDomain/FiniteAdeleRing.lean,Mathlib/Topology/Algebra/RestrictedProduct/Basic.lean |
4 |
4 |
['github-actions', 'smmercuri'] |
nobody |
5-56429 5 days ago |
10-32944 10 days ago |
10-32596 10 days |
| 40013 |
WilliamCoram author:WilliamCoram |
feat: define bounded sets and power bounded elements |
We define bounded sets, so that we can define power bounded elements in a topological ring. Using this we generalise some notions of topoligcally nilpotent elements and define a residue field.
AI usage: some proofs were initially generated with Claude code before being cleaned and/or rewritten by hand.
---
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[](https://gitpod.io/from-referrer/)
|
t-topology
LLM-generated
large-import
|
431/5 |
Mathlib.lean,Mathlib/Topology/Algebra/Bounded.lean,Mathlib/Topology/Algebra/PowerBounded.lean,Mathlib/Topology/Algebra/TopologicallyNilpotent.lean |
4 |
12 |
['ADedecker', 'WilliamCoram', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp', 'wwylele'] |
urkud assignee:urkud |
5-56355 5 days ago |
5-57691 5 days ago |
21-39469 21 days |
| 38551 |
TTony2019 author:TTony2019 |
feat(Analysis/Convex/Intrinsic): add `affineSpan_prod_eq` and `intrinsicInterior_prod_eq` |
### Summary
We prove that the affine span of a product set equals the product of the affine spans, and that the intrinsic interior of a product set equals the product of the intrinsic interiors.
- `affineSpan_prod_eq`: for `s : Set P₁` and `t : Set P₂`, `affineSpan k (s ×ˢ t) = (affineSpan k s) ×ˢ (affineSpan k t)` as sets.
- `intrinsicInterior_prod_eq`: for `s : Set P` and `t : Set Q`, `intrinsicInterior 𝕜 (s ×ˢ t) = intrinsicInterior 𝕜 s ×ˢ intrinsicInterior 𝕜 t`.
These two theorems are added to `Mathlib/LinearAlgebra/AffineSpace/AffineSubspace/Basic.lean` and `Mathlib/Analysis/Convex/Intrinsic.lean`.
### Collaboration
Co-authored-by: @imathwy |
new-contributor
t-analysis
|
128/0 |
Mathlib/Algebra/Group/Pointwise/Set/Basic.lean,Mathlib/Algebra/Torsor/Basic.lean,Mathlib/Analysis/Convex/Intrinsic.lean,Mathlib/LinearAlgebra/AffineSpace/AffineSubspace/Basic.lean,Mathlib/LinearAlgebra/Prod.lean |
5 |
60 |
['TTony2019', 'github-actions', 'mathlib-merge-conflicts', 'themathqueen', 'wwylele'] |
themathqueen assignee:themathqueen |
5-52165 5 days ago |
8-2721 8 days ago |
48-83468 48 days |
| 37870 |
Jun2M author:Jun2M |
feat(Combinatorics/Graph): `Simple` typeclass for `Graph` |
This PR introduces two type classes on `Graph`: `Loopless` and `Simple`.
---
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics
maintainer-merge
|
92/0 |
Mathlib.lean,Mathlib/Combinatorics/Graph/Simple.lean |
2 |
6 |
['YaelDillies', 'github-actions', 'madvorak', 'mathlib-merge-conflicts'] |
nobody |
5-51705 5 days ago |
58-17158 58 days ago |
77-51242 77 days |
| 40854 |
teorth author:teorth |
chore(NumberTheory/PrimeCounting): minor golf |
Inspired by [this comment](https://github.com/leanprover-community/mathlib4/pull/40654#issuecomment-4753093121) to #40654, I have done a golfing pass on` PrimeCounting.lean`, shortening some proofs to a single term and saving about 30 lines of code (largely through whitespace reduction). *However*, some of these golfs rely on defeq abuse, for instance using the fact that `Ioo 0 n` and `Ico 1 n` are definitionally equivalent. I would appreciate some feedback as to whether such abuse is tolerated on Mathlib. I'm happy to drop this PR if this is not the case.
---
[](https://gitpod.io/from-referrer/)
|
t-number-theory
new-contributor
maintainer-merge
|
87/127 |
Mathlib/NumberTheory/PrimeCounting.lean |
1 |
14 |
['MichaelStollBayreuth', 'github-actions', 'leanprover-radar', 'riccardobrasca', 'teorth'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
5-51420 5 days ago |
7-35538 7 days ago |
7-36354 7 days |
| 40551 |
emlis42 author:emlis42 |
feat(SetTheory/Ordinal): prove that `ε₀` and `Γ₀` are countable |
This PR proves that `ε₀` and `Γ₀` are countable, i.e. `Countable (ToType ε₀)` and `Countable (ToType Γ₀)`.
This completes a TODO in `SetTheory/Ordinal/Veblen.lean`. |
t-set-theory
large-import
|
144/2 |
Mathlib/SetTheory/Cardinal/Aleph.lean,Mathlib/SetTheory/Cardinal/Ordinal.lean,Mathlib/SetTheory/Ordinal/Basic.lean,Mathlib/SetTheory/Ordinal/Univ.lean,Mathlib/SetTheory/Ordinal/Veblen.lean |
5 |
53 |
['emlis42', 'felixpernegger', 'github-actions', 'plp127', 'vihdzp'] |
alreadydone assignee:alreadydone |
5-49459 5 days ago |
8-11450 8 days ago |
15-53097 15 days |
| 40904 |
jiangf13 author:jiangf13 |
chore(Algebra/Group/WithOne): remove stale TODO |
The TODO claimed that `WithOne.coe_mul` and `WithZero.coe_mul` have inconsistent implicit parameters. Their current signatures are both of the form `{α} [Mul α] (a b : α)`, so the TODO is stale.
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t-algebra
new-contributor
label:t-algebra$ |
0/4 |
Mathlib/Algebra/Group/WithOne/Defs.lean |
1 |
2 |
['github-actions'] |
nobody |
5-47231 5 days ago |
5-53436 5 days ago |
5-53087 5 days |
| 40242 |
FMLJohn author:FMLJohn |
feat(Topology/Spectral/ConstructibleTopology): if a topological space X is T0, quasi-compact, quasi-separated and prespectral, then X is T2 in the constructible topology |
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In this pull request, I have proved that if a topological space X is T0, quasi-compact, quasi-separated and prespectral, then X is T2 in the constructible topology.
**Note that this result is different from a similar result in #39663. #39663 contains an instance stating that if a topological space `X` is prespectral, T0 and quasi-sober, then `X` is T2 in the constructible topology. Hence, the assumption in that instance is not the same as the assumption in the main result of this PR.**
**Moreover, a T0 quasi-compact quasi-separated prespectral space is not necessarily quasi-sober, so the instance proved in #39663 does not imply the main result in this PR.** |
t-topology |
31/2 |
Mathlib/Topology/Spectral/ConstructibleTopology.lean |
1 |
1 |
['github-actions'] |
urkud assignee:urkud |
5-41853 5 days ago |
15-34689 15 days ago |
20-47231 20 days |
| 40344 |
FMLJohn author:FMLJohn |
feat(RingTheory/Adjoin/Polynomial/Basic): `Algebra.adjoin_mem_exists_aeval'` and `Algebra.adjoin_eq_exists_aeval'` |
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In this pull request, I have proved the following result:
Suppose `R` and `A` are commutative semirings with `Algebra R A`, `S` is a subset of `A`, `a` is an element of `A` that belongs to `adjoin R S`, and `f : σ → A` satisfies `S ⊆ Set.range f`, then there exists a multivariate polynomial `p : MvPolynomial σ R` such that `p.aeval f = a`. |
t-algebra label:t-algebra$ |
19/0 |
Mathlib/RingTheory/Adjoin/Polynomial/Basic.lean |
1 |
3 |
['github-actions', 'plp127'] |
nobody |
5-41028 5 days ago |
19-41201 19 days ago |
19-60810 19 days |
| 40180 |
FMLJohn author:FMLJohn |
feat(Topology/Spectral/ConstructibleTopology): the constructible topology on a compact quasi-separated space `X` equals the topology generated by the constructible subsets of `X` |
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In this pull request, I have proved that the constructible topology on a compact quasi-separated space `X` equals the topology generated by the constructible subsets of `X`. This holds in particular for spectral spaces. |
t-topology
large-import
|
63/2 |
Mathlib/Order/BooleanSubalgebra.lean,Mathlib/Topology/Order.lean,Mathlib/Topology/Spectral/ConstructibleTopology.lean |
3 |
21 |
['FMLJohn', 'chrisflav', 'github-actions', 'plp127'] |
chrisflav assignee:chrisflav |
5-40678 5 days ago |
15-36858 15 days ago |
21-50274 21 days |
| 40909 |
FrankieNC author:FrankieNC |
feat(Algebra/Notation/Indicator): pointwise evaluation of a function-valued indicator |
Adds `Set.mulIndicator_apply_apply` and its `to_additive` companion `Set.indicator_apply_apply`: for a family of functions `f : α → β → M`, `s.mulIndicator f a b = s.mulIndicator (fun i ↦ f i b) a`, so evaluating a function-valued indicator at `b` commutes with the indicator. It is the pointwise form of `Set.mulIndicator_comp_of_one` (with `g` the evaluation map at `b`). |
t-algebra
brownian
label:t-algebra$ |
7/0 |
Mathlib/Algebra/Notation/Indicator.lean |
1 |
1 |
['github-actions'] |
nobody |
5-34729 5 days ago |
5-37126 5 days ago |
5-36777 5 days |
| 40910 |
riccardobrasca author:riccardobrasca |
feat: add comap_map_eq_of_unramified and related declarations |
From flt-regular.
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
172/0 |
Mathlib/RingTheory/DedekindDomain/Different.lean |
1 |
1 |
['github-actions'] |
nobody |
5-34155 5 days ago |
5-34989 5 days ago |
5-34640 5 days |
| 40875 |
alreadydone author:alreadydone |
feat(Matrix/SemiringInverse): new lemmas about `detp` and `adjp` |
Co-authored-by: Aristotle (Harmonic) [aristotle-harmonic@harmonic.fun](mailto:aristotle-harmonic@harmonic.fun)
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t-algebra
t-group-theory
label:t-algebra$ |
95/27 |
Mathlib/GroupTheory/Perm/Sign.lean,Mathlib/LinearAlgebra/Matrix/SemiringInverse.lean |
2 |
22 |
['alreadydone', 'eric-wieser', 'github-actions', 'themathqueen'] |
nobody |
5-21248 5 days ago |
5-58945 5 days ago |
6-26183 6 days |
| 38527 |
archiebrowne author:archiebrowne |
feat(Analysis/Calculus): continuously differentiable actions |
define the class `ContDiffSMul 𝕜 M X n` which asserts that the map `(c, x) ↦ c • x` is `n` times continuously differentiable on `M × X`.
Many of the results are the C^n analogues of those in the module Mathlib.Topology.Algebra.MulAction.
|
t-differential-geometry
new-contributor
|
317/24 |
Mathlib.lean,Mathlib/Analysis/Calculus/BumpFunction/Basic.lean,Mathlib/Analysis/Calculus/ContDiff/Operations.lean,Mathlib/Analysis/Calculus/IteratedDeriv/Lemmas.lean,Mathlib/Analysis/ContDiffMulAction.lean,Mathlib/Analysis/InnerProductSpace/Calculus.lean |
6 |
11 |
['archiebrowne', 'github-actions', 'grunweg', 'peabrainiac'] |
fpvandoorn assignee:fpvandoorn |
5-21148 5 days ago |
51-36105 51 days ago |
59-21665 59 days |
| 39605 |
Qinghev author:Qinghev |
Add docstrings for reversed range telescoping lemmas |
This PR adds docstrings for two existing `Finset` telescoping lemmas and their additive versions generated by `to_additive`:
* `Finset.prod_range_div'` / `Finset.sum_range_sub'`
* `Finset.eq_prod_range_div` / `Finset.eq_sum_range_sub`
It is documentation-only: no declarations or imports are changed.
CI has passed.
AI assistance: Codex was used to help inspect the public PR/CI status and update this PR description. |
t-algebra
new-contributor
label:t-algebra$ |
8/2 |
Mathlib/Algebra/BigOperators/Group/Finset/Basic.lean |
1 |
2 |
['github-actions'] |
themathqueen assignee:themathqueen |
5-21145 5 days ago |
38-68201 38 days ago |
38-67852 38 days |
| 40249 |
vasnesterov author:vasnesterov |
feat(Tactic/ComputeAsymptotics/Multiseries): corecursion for multiseries |
Translate API for general corecursion for `Seq` to `Multiseries`.
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This is a part of the `compute_asymptotics` tactic (#28291).
- [x] depends on: #40255
[](https://gitpod.io/from-referrer/) |
t-meta
large-import
|
185/0 |
Mathlib/Tactic/ComputeAsymptotics/Multiseries/Defs.lean |
1 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
JovanGerb assignee:JovanGerb |
5-21141 5 days ago |
18-19597 18 days ago |
18-36533 18 days |
| 40338 |
JovanGerb author:JovanGerb |
feat(GRewrite): support universe changing rewrites |
This PR allows `grw` to deal with relations that are heterogenous (the two sides don't have the same type).
I'm slightly surprised that this works :). I added a basic test showing that the polymorphic relations on cardinals can be used in `grw`, as proposed in https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Universe-heterogeneous.20ordinal.20and.20cardinal.20relations/with/495593531
---
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|
t-meta |
56/5 |
Mathlib/Tactic/GRewrite/Core.lean,MathlibTest/Tactic/GRewrite.lean |
2 |
17 |
['JovanGerb', 'eric-wieser', 'github-actions'] |
thorimur assignee:thorimur |
5-21140 5 days ago |
18-67776 18 days ago |
20-49907 20 days |
| 40347 |
thorimur author:thorimur |
perf(Mathlib.Tactic.Linter.Header): different implementation for header linter |
This PR tries a different implementation strategy for the header linter: identify whether we're linting the first command by parsing the file header quickly, seeing where the final position for the parse lands, and seeing if the current command's start position (stored in the `CommandElabM` context) matches that position. Then, check if the first command is a module doc (or an exempted command) just by looking at the current syntax's kind.
While this does still parse the imports on every command, it does less parsing than the previous implementation.
This reduces interpretation wall-clock by over 10% (at least on the radar machines).
This also changes the behavior slightly:
- adds backticks in messages instead of quotes
- now allows `set_option ... in` before the module docstring
There's still room for improvement: in the future we could try to figure out an interactive-safe cache for the end position of the header (somewhat tricky) and update the string functions to use the new string slice API. (The first part might be easier after some upcoming linting framework changes.)
My guess for why this seems to improve the performance in apparently unrelated metrics is that it reduces pressure on the async computations overall, but to be honest, I'm not sure.
---
Note: happy to make it so that `set_option ... in` cannot now precede the module docstring. This is mostly a matter of where `withSetOptionIn` is.
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|
t-linter |
126/192 |
Mathlib/Tactic/Linter/Header.lean,MathlibTest/DirectoryDependencyLinter/Test.lean,MathlibTest/Header.lean,MathlibTest/HeaderFail.lean |
4 |
43 |
['JovanGerb', 'github-actions', 'grunweg', 'leanprover-radar', 'mathlib-merge-conflicts', 'thorimur'] |
JovanGerb assignee:JovanGerb |
5-21139 5 days ago |
12-36959 12 days ago |
17-25381 17 days |
| 40897 |
vihdzp author:vihdzp |
feat: `HasSmallInductiveDimensionLT` is monotonic |
We prove that `HasSmallInductiveDimensionLT m` implies `HasSmallInductiveDimensionLT n` whenever `m ≤ n`.
---
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|
t-topology |
22/1 |
Mathlib/Topology/SmallInductiveDimension.lean |
1 |
1 |
['github-actions'] |
PatrickMassot assignee:PatrickMassot |
5-21133 5 days ago |
5-60391 5 days ago |
5-60042 5 days |
| 36743 |
Jun2M author:Jun2M |
feat(Combinatorics/GraphLike): introduce `GraphLike` typeclass |
Edit: There is #40204: alternative PR that uses incidence to define hypergraph.
Per discussion at ([#graph theory > HasAdj](https://leanprover.zulipchat.com/#narrow/channel/252551-graph-theory/topic/HasAdj/with/575843445)), This PR introduces the `GraphLike` typeclass to capture the notions like `dart` and `walk` across various graph objects, such as `SimpleGraph`, `Graph`, and `Digraph`.
The goal is that by abstracting these core components into a typeclass, we can prove these results once for all graph-like structures rather than duplicating them across different graph types.
### Main definitions
* `GraphLike V D E Gr`: A typeclass parameterized by a vertex type `V`, dart type `D` and a graph type `Gr` (with `V`, `D` & `E` as an `outParam`).
* `GraphLike.verts : Set V`: The set of vertices of the graph.
* `GraphLike.darts : Set D`: The set of darts of the graph.
* `GraphLike.edges : Set E`: The set of edges of the graph.
* `GraphLike.Adj : V → V → Prop`: The adjacency relation, defined by default as `∃ d ∈ darts, fst d = u ∧ snd d = v`.
---
This PR generalises #35776 to also unify `Graph`.
PRs depending on this PR are
#39047 (graphLike with no multi edges) => #39050 (Digraph is graphLike)
||
V
#36829 (undirected graphLike) => #39053 (Graph is graphLike) & #39054 (Simplegraph is graphLike)
||
V
#36756 (def of walk on GraphLike) => #36971 (change Simplegraph to use GraphLike walk)
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|
t-combinatorics |
104/0 |
Mathlib.lean,Mathlib/Combinatorics/GraphLike/Basic.lean |
2 |
78 |
['IvanRenison', 'Jun2M', 'SnirBroshi', 'YaelDillies', 'github-actions', 'lauramonk', 'mathlib-merge-conflicts'] |
nobody |
5-20247 5 days ago |
50-51050 50 days ago |
101-49117 101 days |
| 40074 |
TJHeeringa author:TJHeeringa |
feat(Analysis/InnerProductSpace/TensorProduct): Add TensorProduct.mapL |
This PR defines `TensorProduct.mapL`, the continuous version of `TensorProduct.map`.
---
`Analysis/innerProductSpace/TensorProduct` has a TODO for a continuous version of `TensorProduct.map`. One place which contains a proof for this is at [stack](https://math.stackexchange.com/a/3934668). #38755 was lemma 1 of that. This PR is the remainder.
AI:
Used to generate `exists_repr`.
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|
t-analysis
new-contributor
large-import
maintainer-merge
|
254/9 |
Mathlib/Analysis/InnerProductSpace/TensorProduct.lean,Mathlib/Analysis/Normed/Operator/LinearIsometry.lean |
2 |
70 |
['JonBannon', 'TJHeeringa', 'github-actions', 'themathqueen'] |
nobody |
5-20245 5 days ago |
19-50111 19 days ago |
20-31861 20 days |
| 40880 |
mcdoll author:mcdoll |
feat(Analysis): use `Is*Apply` for `Seminorm` |
Add a missing `SMul` instance
---
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|
t-analysis |
43/45 |
Counterexamples/SeminormLatticeNotDistrib.lean,Mathlib/Analysis/Seminorm.lean |
2 |
1 |
['github-actions'] |
nobody |
5-17010 5 days ago |
5-80278 5 days ago |
5-79929 5 days |
| 40840 |
mcdoll author:mcdoll |
feat(MeasureTheory): use `IsApply` for `Measure` |
---
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|
143/166 |
Mathlib/Dynamics/Ergodic/Extreme.lean,Mathlib/Geometry/Euclidean/Volume/Measure.lean,Mathlib/MeasureTheory/Constructions/Pi.lean,Mathlib/MeasureTheory/Covering/Differentiation.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Basic.lean,Mathlib/MeasureTheory/Function/SimpleFunc.lean,Mathlib/MeasureTheory/Group/FundamentalDomain.lean,Mathlib/MeasureTheory/Group/Prod.lean,Mathlib/MeasureTheory/Integral/Average.lean,Mathlib/MeasureTheory/Integral/Bochner/Basic.lean,Mathlib/MeasureTheory/Integral/Bochner/L1.lean,Mathlib/MeasureTheory/Integral/FinMeasAdditive.lean,Mathlib/MeasureTheory/Integral/SetToL1.lean,Mathlib/MeasureTheory/Measure/AbsolutelyContinuous.lean,Mathlib/MeasureTheory/Measure/Decomposition/Exhaustion.lean,Mathlib/MeasureTheory/Measure/Decomposition/IntegralRNDeriv.lean,Mathlib/MeasureTheory/Measure/Decomposition/Lebesgue.lean,Mathlib/MeasureTheory/Measure/Dirac.lean,Mathlib/MeasureTheory/Measure/FiniteMeasure.lean,Mathlib/MeasureTheory/Measure/GiryMonad.lean,Mathlib/MeasureTheory/Measure/Haar/Basic.lean,Mathlib/MeasureTheory/Measure/Haar/DistribChar.lean,Mathlib/MeasureTheory/Measure/Haar/MulEquivHaarChar.lean,Mathlib/MeasureTheory/Measure/Hausdorff.lean,Mathlib/MeasureTheory/Measure/Lebesgue/Basic.lean,Mathlib/MeasureTheory/Measure/Lebesgue/EqHaar.lean,Mathlib/MeasureTheory/Measure/Map.lean,Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/MeasureTheory/Measure/MutuallySingular.lean,Mathlib/MeasureTheory/Measure/ProbabilityMeasure.lean,Mathlib/MeasureTheory/Measure/Prod.lean,Mathlib/MeasureTheory/Measure/Prokhorov.lean,Mathlib/MeasureTheory/Measure/Regular.lean,Mathlib/MeasureTheory/Measure/Restrict.lean,Mathlib/MeasureTheory/Measure/Stieltjes.lean,Mathlib/MeasureTheory/Measure/Sub.lean,Mathlib/MeasureTheory/Measure/SubFinite.lean,Mathlib/MeasureTheory/Measure/Tilted.lean,Mathlib/MeasureTheory/Measure/Typeclasses/Finite.lean,Mathlib/MeasureTheory/Measure/Typeclasses/SFinite.lean,Mathlib/MeasureTheory/Measure/WithDensity.lean,Mathlib/MeasureTheory/Measure/WithDensityFinite.lean,Mathlib/MeasureTheory/VectorMeasure/Decomposition/Jordan.lean,Mathlib/MeasureTheory/VectorMeasure/Integral.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Basic.lean,Mathlib/Probability/ConditionalProbability.lean,Mathlib/Probability/Distributions/Bernoulli.lean,Mathlib/Probability/Distributions/Binomial.lean,Mathlib/Probability/Distributions/Uniform.lean,Mathlib/Probability/Kernel/Composition/Comp.lean,Mathlib/Probability/Kernel/Composition/CompProd.lean,Mathlib/Probability/Kernel/Defs.lean,Mathlib/Probability/Kernel/RadonNikodym.lean,Mathlib/Probability/Kernel/WithDensity.lean,Mathlib/Probability/UniformOn.lean |
55 |
1 |
['github-actions'] |
nobody |
5-16825 5 days ago |
5-18382 5 days ago |
5-18033 5 days |
| 40033 |
JJYYY-JJY author:JJYYY-JJY |
chore: remove flexible linter suppressions |
This PR removes two local `linter.flexible` suppressions by replacing compact `simp; infer_instance` with explicit proofs.
Changed files:
- `Mathlib/Dynamics/TopologicalEntropy/DynamicalEntourage.lean`
- `Mathlib/Topology/UniformSpace/Ultra/Constructions.lean`
Tested with:
`lake build`
---
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|
new-contributor |
6/6 |
Mathlib/Dynamics/TopologicalEntropy/DynamicalEntourage.lean,Mathlib/Topology/UniformSpace/Ultra/Constructions.lean |
2 |
7 |
['chenson2018', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
5-15671 5 days ago |
5-16401 5 days ago |
29-22034 29 days |
| 29744 |
espottesmith author:espottesmith |
feat(Combinatorics): define directed hypergraphs |
This PR defines directed hypergraphs:
```
@[ext]
structure DiHypergraph (α : Type*) where
/-- The vertex set -/
vertexSet : Set α
/-- The edge set -/
edgeSet : Set ((Set α) × (Set α))
/-- Each edge is a pair (s, d), where s ⊆ vertexSet and d ⊆ vertexSet -/
edge_src_dst_isSubset_vertexSet' : ∀ ⦃e⦄, e ∈ edgeSet → e.1 ⊆ vertexSet ∧ e.2 ⊆ vertexSet
```
Additional definitions:
- tail/head stars and negative/positive stars
- some special cases (B-Graph, F-Graph, BF-Graph, and what I'm calling a "non-endless" dihypergraph, where neither the source/tail nor the destination/head are empty)
- Vertex and (hyper)edge adjacency
- isolated vertices
- empty and nonempty dihypergraphs
The design employed here is based off of #28613, but this PR does not depend on that one.
---
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|
t-combinatorics
new-contributor
|
290/0 |
Mathlib.lean,Mathlib/Combinatorics/DiHypergraph/Basic.lean |
2 |
5 |
['b-mehta', 'espottesmith', 'github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
4-82872 4 days ago |
6-55686 6 days ago |
143-59085 143 days |
| 40922 |
Thmoas-Guan author:Thmoas-Guan |
feat(Algebra/Module): minimal generators of module over local ring |
In this PR, we proved for fg module over local ring, "two set of minimal generators can be transported by an invertible matrix", implemented as the commuting morphism between the source of the two surjection must be bijective.
(The last lemma is for transport between Koszul complex form two set of generators)
---
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|
t-algebra label:t-algebra$ |
93/0 |
Mathlib.lean,Mathlib/Algebra/Module/MinimalGenerators.lean |
2 |
1 |
['github-actions'] |
nobody |
4-82475 4 days ago |
4-83293 4 days ago |
4-82944 4 days |
| 40927 |
Thmoas-Guan author:Thmoas-Guan |
feat(LinearAlgebra): lemmas for vanishing of exteriorPower |
For a module generated by `n` elements, exterior power of order greater than `n` vanishes.
---
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|
t-algebra label:t-algebra$ |
26/0 |
Mathlib/LinearAlgebra/ExteriorPower/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
4-77785 4 days ago |
4-78593 4 days ago |
4-78812 4 days |
| 40913 |
tb65536 author:tb65536 |
chore(Algebra/Algebra/Tower): upgrade `extendScalarsOfSurjective` to an equiv |
This PR upgrades `AlgHom.extendScalarsOfSurjective` and `AlgEquiv.extendScalarsOfSurjective` to `Equiv`s and adds `MulEquiv` versions.
---
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory
t-algebra
label:t-algebra$ |
30/13 |
Mathlib/Algebra/Algebra/Tower.lean |
1 |
1 |
['github-actions'] |
nobody |
4-77506 4 days ago |
4-77562 4 days ago |
4-77213 4 days |
| 40926 |
Thmoas-Guan author:Thmoas-Guan |
feat(LinearAlgebra): lemmas for `exteriorPower.map` |
Lemmas for `exteriorPower.map`
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
9/0 |
Mathlib/LinearAlgebra/ExteriorPower/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
4-77498 4 days ago |
4-79403 4 days ago |
4-79054 4 days |
| 39117 |
joelriou author:joelriou |
feat(CategoryTheory): the right derived functor commutes with the shift |
A few lemmas are obtained about precomposing and postcomposing left/right Kan extensions or right/left derived functors with equivalences of categories. By applying these results to the equivalences given by shifts, we construct a family of isomorphisms which shows that the right derived functor commutes with shifts, and by proving certain compatibilities, we obtain a `Functor.CommShift` instance on the right derived functor of a functor which commutes with shifts.
---
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[](https://gitpod.io/from-referrer/)
|
t-category-theory
large-import
|
422/9 |
Mathlib.lean,Mathlib/CategoryTheory/Functor/Derived/LeftDerived.lean,Mathlib/CategoryTheory/Functor/Derived/RightDerived.lean,Mathlib/CategoryTheory/Functor/Derived/RightDerivedCommShift.lean,Mathlib/CategoryTheory/Functor/KanExtension/AdjunctionPreserves.lean,Mathlib/CategoryTheory/Functor/KanExtension/Basic.lean,Mathlib/CategoryTheory/Shift/CommShift.lean,Mathlib/CategoryTheory/Shift/Localization.lean |
8 |
15 |
['dagurtomas', 'github-actions', 'joelriou', 'mathlib-merge-conflicts', 'robin-carlier'] |
robin-carlier assignee:robin-carlier |
4-77089 4 days ago |
4-78141 4 days ago |
19-64950 19 days |
| 38594 |
ScottCarnahan author:ScottCarnahan |
feat(Algebra/Lie): grading on loop algebras |
In this PR we introduce a decomposition of a tensor product of modules induced by a decomposition of the module on the left side. This is used to produce the canonical "energy" grading on a loop Lie algebra. This will (eventually) give us the "energy" grading on smooth representations of affine algebras.
---
Should I make the tensor decomposition more ring-polymorphic?
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
144/9 |
Mathlib/Algebra/Lie/Loop.lean,Mathlib/LinearAlgebra/DirectSum/TensorProduct.lean,Mathlib/LinearAlgebra/TensorProduct/Decomposition.lean,Mathlib/LinearAlgebra/TensorProduct/Map.lean |
4 |
3 |
['github-actions', 'themathqueen'] |
themathqueen assignee:themathqueen |
4-66677 4 days ago |
31-20862 31 days ago |
31-20534 31 days |
| 40749 |
AntoineChambert-Loir author:AntoineChambert-Loir |
feat(Algebra/DirectSum/IsPureHomogeneous): purely homogeneous relations |
This PR moves the previous work on purely homogeneous relations to a new file,
and adds lemmas that additive/ring congruences generated by such a relation are homogeneous.
Some lemmas are added to BigOperators.
Co-authored with @mariainesdff
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[](https://gitpod.io/from-referrer/)
|
|
293/20 |
Mathlib.lean,Mathlib/Algebra/DirectSum/Decomposition.lean,Mathlib/Algebra/DirectSum/IsPureHomogeneous.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Basic.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Scheme.lean,Mathlib/Data/DFinsupp/BigOperators.lean,Mathlib/RingTheory/GradedAlgebra/Basic.lean,Mathlib/RingTheory/GradedAlgebra/Homogeneous/Ideal.lean,Mathlib/RingTheory/GradedAlgebra/HomogeneousLocalization.lean,Mathlib/RingTheory/Ideal/Span.lean |
10 |
4 |
['TentativeConvert', 'eric-wieser', 'github-actions'] |
nobody |
4-66661 4 days ago |
9-72371 9 days ago |
9-72076 9 days |
| 40952 |
tb65536 author:tb65536 |
feat(Algebra/Group/Subgroup/Basic): monotonicity of inertia subgroups |
This PR proves that inertia subgroups are monotone.
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory
t-algebra
label:t-algebra$ |
5/1 |
Mathlib/Algebra/Group/Subgroup/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
4-56962 4 days ago |
4-57006 4 days ago |
4-56658 4 days |
| 40954 |
tb65536 author:tb65536 |
chore(FieldTheory/Galois/IsGaloisGroup): remove redundant `have` statements |
Now that `isScalarTower_mulSemiringActionQuotient` is an instance, we can remove a few redundant `have` statements.
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory
t-algebra
easy
label:t-algebra$ |
0/2 |
Mathlib/FieldTheory/Galois/IsGaloisGroup.lean |
1 |
1 |
['github-actions'] |
nobody |
4-56768 4 days ago |
4-58457 4 days ago |
4-58110 4 days |
| 40638 |
tb65536 author:tb65536 |
chore(NumberTheory/RamificationInertia/Galois): remove hypotheses from `ncard_primesOver_mul_ncard_primesOver` |
This PR removes many hypotheses from `ncard_primesOver_mul_ncard_primesOver` by giving a direct proof from transitivity of the Galois action rather than via the ramification-inertia formula.
---
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory
t-algebra
t-number-theory
label:t-algebra$ |
40/26 |
Mathlib/FieldTheory/Galois/IsGaloisGroup.lean,Mathlib/NumberTheory/NumberField/Cyclotomic/Ideal.lean,Mathlib/NumberTheory/RamificationInertia/Galois.lean |
3 |
3 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
4-56507 4 days ago |
5-31403 5 days ago |
5-32150 5 days |
| 40847 |
teorth author:teorth |
feat(Analysis/SpecialFunctions/Log/InvLog): add more API for inv_log and log_log |
Add a `simp` lemma form `Real.deriv_inv_log'` of `Real.deriv_inv_log`, in analogy with `Real.deriv_inv` and `Real.deriv_inv'`, or `Real.deriv_log'` and `Real.deriv_log`. There were two downstream applications of `Real.deriv_inv_log` that received minor golfs as a consequence. Also added some helper lemmas for the associated `DifferentiableAt` and `HasDeriv` versions, as well as variants for the double logarithm. As applications, definite integrals of `t⁻¹ / log t` and `t⁻¹ / (log t)^2` were added to `Analysis.SpecialFunctions.Integrals.Basic`, and improper integrals of `t⁻¹ / (log t)^2` were added to `Analysis.SpecialFunctions.ImproperIntegrals`.
Also added two asymptotic lemmas, asserting that `(fun x ↦ 1 / log x) =o[atTop] (fun _ ↦ (1:ℝ))` and `(fun _ ↦ (1:ℝ)) =o[atTop] (fun x ↦ log (log x))`, which will be needed to establish Mertens' second theorem.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor |
112/25 |
Mathlib/Analysis/SpecialFunctions/ImproperIntegrals.lean,Mathlib/Analysis/SpecialFunctions/Integrals/Basic.lean,Mathlib/Analysis/SpecialFunctions/Log/InvLog.lean,Mathlib/Computability/AkraBazzi/SumTransform.lean,Mathlib/NumberTheory/Chebyshev.lean |
5 |
2 |
['github-actions'] |
nobody |
4-51966 4 days ago |
6-31 5 days ago |
7-48831 7 days |
| 40387 |
tb65536 author:tb65536 |
feat(RingTheory/Invariant/Basic): inertia subgroup of a quotient group |
This PR proves that the inertia subgroup of a quotient group is the image of the inertia subgroup.
---
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory
t-algebra
label:t-algebra$ |
68/0 |
Mathlib/RingTheory/Invariant/Basic.lean |
1 |
2 |
['github-actions', 'mathlib-dependent-issues', 'xroblot'] |
nobody |
4-51865 4 days ago |
4-56566 4 days ago |
4-60570 4 days |
| 40963 |
Formalistic03 author:Formalistic03 |
feat(Combinatorics/SimpleGraph/Paths): add lemma about the first dart if dropLast is a path |
If `dropLast` of a walk is a path, a dart of the walk sharing its first vertex with the walk also shares its second vertex.
I thought this was a natural more general form of `IsPath.eq_snd_of_mem_edges`, useful for cycles for example.
---
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|
t-combinatorics
new-contributor
|
16/0 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Operations.lean |
2 |
2 |
['github-actions'] |
nobody |
4-45791 4 days ago |
4-46645 4 days ago |
4-46958 4 days |
| 39368 |
gasparattila author:gasparattila |
feat: homogenization of an affine space |
---
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* Alternative to #39431
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
400/0 |
Mathlib.lean,Mathlib/LinearAlgebra/AffineSpace/Homogenization.lean,docs/references.bib |
3 |
27 |
['eric-wieser', 'gasparattila', 'github-actions', 'themathqueen'] |
themathqueen assignee:themathqueen |
4-44342 4 days ago |
4-45198 4 days ago |
43-75240 43 days |
| 40911 |
rshlyakh author:rshlyakh |
feat(RingTheory/Ideal): add Algebra.HasGoingUp |
This closely mirrors `Mathlib/RingTheory/Ideal/GoingDown.lean` by defining an analogous predicate `Algebra.HasGoingUp` and proving basic properties. It includes:
- `Algebra.HasGoingUp.iff_specializingMap_primeSpectrumComap`: going up is equivalent
to specializations lifting along `Spec S → Spec R`.
- `Algebra.HasGoingUp.of_isIntegral`: integral algebras satisfy going up.
- `Ideal.exists_ltSeries_of_hasGoingUp`: a generalization of `exists_ideal_over_prime_of_isIntegral_of_isPrime` from `Mathlib/RingTheory/Ideal/GoingUp.lean` to chains of arbitrary length. This was previously an explicitly marked `TODO`.
---
I am unsure if this contribution should be in a separate file. Initially, I wanted to add it to the existing `Mathlib/RingTheory/Ideal/GoingUp.lean` file, but my theorem `Algebra.HasGoingUp.iff_specializingMap_primeSpectrumComap` requires the import `Mathlib.RingTheory.Spectrum.Prime.Topology`, which itself imports `Mathlib.RingTheory.Ideal.GoingUp.lean`. Advice on this would be appreciated.
LLM use: Codex was used to identify useful existing theorems in Mathlib and to check for typos/formatting issues. The theorem statements, proofs, and docstrings are human-written.
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|
t-ring-theory
new-contributor
|
135/2 |
Mathlib.lean,Mathlib/RingTheory/Ideal/GoingUp.lean,Mathlib/RingTheory/Ideal/HasGoingUp.lean |
3 |
15 |
['github-actions', 'riccardobrasca', 'robertylewis', 'rshlyakh'] |
riccardobrasca assignee:riccardobrasca |
4-41131 4 days ago |
4-46350 4 days ago |
5-23499 5 days |
| 40972 |
Nicola9Falciola author:Nicola9Falciola |
feat(Data/ZMod/QuotientRing): an apply version for the single component of crt for zmod |
---
The CRT for ZMod on the each components is equivalent to the usual `ZMod.castHom` given by the divisibility property.
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|
t-data
new-contributor
|
11/0 |
Mathlib/Data/ZMod/QuotientRing.lean |
1 |
2 |
['github-actions'] |
nobody |
4-33863 4 days ago |
4-34740 4 days ago |
4-34391 4 days |
| 33640 |
JovanGerb author:JovanGerb |
feat: tool for finding duplicate declarations |
This PR defines a tool for finding duplicate declarations automatically. This can be used to help fix this technical debt.
---
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|
t-meta
maintainer-merge
|
236/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/DuplicateDecls.lean,MathlibTest/Tactic/DuplicateDecls.lean,MathlibTest/Tactic/DuplicateDeclsAux.lean |
5 |
19 |
['JovanGerb', 'bryangingechen', 'github-actions', 'thorimur'] |
dwrensha and thorimur assignee:dwrensha assignee:thorimur |
4-22771 4 days ago |
4-22771 4 days ago |
20-77569 20 days |
| 38489 |
Jun2M author:Jun2M |
feat(Topology/Algebra/InfiniteSum): Generalize ENNReal lemmas |
This PR generalizes many theorems in Topology/Algebra/InfiniteSum/ENNReal.lean from `ENNREal` to any type that satisfies a list of order-related instances, mostly
`[CommMonoid α] [CompleteLattice α] [CanonicallyOrderedMul α] [TopologicalSpace α] [SupConvergenceClass α]`
Deprecation of the original `ENNReal` lemmas are done in the next PR: #38193.
Related Zulip thread: [#Is there code for X? > Summing `ENat`s without topology](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Summing.20.60ENat.60s.20without.20topology/with/588756615)
---
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|
t-topology |
261/3 |
Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/MeasureTheory/OuterMeasure/OfFunction.lean,Mathlib/Topology/Algebra/InfiniteSum/Basic.lean,Mathlib/Topology/Algebra/InfiniteSum/Order.lean |
4 |
9 |
['Jun2M', 'SnirBroshi', 'github-actions', 'wwylele'] |
scholzhannah assignee:scholzhannah |
4-21147 4 days ago |
48-31676 48 days ago |
64-21372 64 days |
| 38871 |
0xTerencePrime author:0xTerencePrime |
feat(Combinatorics/SimpleGraph): add parity lemmas for outer and inner vertices |
Adds three lemmas to `SimpleGraph.DegreeSum`:
- `sum_degrees_option_zmod_two`: the handshaking lemma for `Option I` over ZMod 2
- `degree_none_zmod_two_eq_sum`: simp-normal form of the above
- `card_degree_one_option_eq_outer_zmod_two`: under degree bound ≤ 2, count of degree-1 inner vertices equals outer vertex degree mod 2 |
t-combinatorics
new-contributor
|
65/3 |
Mathlib/Combinatorics/SimpleGraph/DegreeSum.lean |
1 |
6 |
['0xTerencePrime', 'SnirBroshi', 'github-actions'] |
b-mehta assignee:b-mehta |
4-21145 4 days ago |
55-64331 55 days ago |
55-63982 55 days |
| 39287 |
xgenereux author:xgenereux |
feat(Localization/AtPrime/Basic): upgrade `equivQuotMaximalIdeal` to an AlgEquiv |
The definition [IsLocalization.AtPrime.equivQuotMaximalIdealPow](https://leanprover-community.github.io/mathlib4_docs/Mathlib/RingTheory/Localization/AtPrime/Basic.html#IsLocalization.AtPrime.equivQuotMaximalIdealPow) was added in #36783.
The case with `n = 1` is still important and interesting. I have upgraded it to an AlgEquiv using `equivQuotMaximalIdealPow`.
This did break a few small things, because we need to bridge back to a `RingEquiv` in some places. I took the liberty to add some missing `apply` lemmas to ease fixing these proofs.
Disclaimer: I used Claude to suggest the first shot and refined it from there.
María Inés de Frutos Fernández <[mariaines.dff@gmail.com](mailto:mariaines.dff@gmail.com)>
---
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|
t-ring-theory |
45/65 |
Mathlib/RingTheory/Localization/AtPrime/Basic.lean,Mathlib/RingTheory/Localization/AtPrime/Extension.lean,Mathlib/RingTheory/Trace/Quotient.lean |
3 |
2 |
['github-actions', 'mathlib-merge-conflicts', 'wwylele'] |
alreadydone assignee:alreadydone |
4-21144 4 days ago |
24-77870 24 days ago |
29-44763 29 days |
| 39687 |
TentativeConvert author:TentativeConvert |
feat(Algebra/Group/Submonoid): type class to indicate that supremum in a SubmonoidClass agrees with supremum of submonoids |
Add a type class `SubmonoidClass.IsConcreteSSup` to indicate that the canonical map `.ofClass` from a class `S` of submonoids of `M` to `Submonoid M` preserves suprema.
---
This PR implements the minimal type class assumption needed to make „pushfoward of gradings along maps of indexing sets“ – see draft PR #39356 – work in some `SetLike` generality.
Given `{S M : Type*} [SetLike S M] [Monoid M] [SubmonoidClass S M]`, we have canonical maps
```
S → Submonoid M → Set M
```
The first is `Submonoid.ofClass`, the second and the composition are `coe` maps coming from the `SetLike` structures. Depending on `S`, these maps may or may not satisfy various properties with respect the lattice structures on `Submonoid M` and `Set M`. Mathlib so far includes the type class `[IsConcreteLE S M]`, which asserts that the composition `S → Set M` is order-preserving and order-reflecting. The type class defined here asserts that the first map, `S → Submonoid M`, preserves suprema.
In examples such as `S = Subgroup M`, `S = Submodule R M`, much more is true – in these cases, `S` is a complete sublattice of `Submonoid M`. But there are also examples where only the weaker property defined here holds, e.g. `S = OpenSubgroup M` for a topological group `M`.
Note on `outParam`: I did *not* write `(M : outParam Type*)` in the assumptions of `SubmonoidClass.IsConcreteSSup` in accordance with the [DocString of `Setlike`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Data/SetLike/Basic.html#SetLike). However, we do have `(B : outParam Type*)` in the definition of `IsConcreteLE`, so perhaps I'm misinterpreting the DocString.
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|
new-contributor
t-algebra
label:t-algebra$ |
56/0 |
Mathlib.lean,Mathlib/Algebra/Group/Submonoid/SSup.lean |
2 |
2 |
['github-actions'] |
ocfnash assignee:ocfnash |
4-21142 4 days ago |
36-75107 36 days ago |
36-75358 36 days |
| 40696 |
kebekus author:kebekus |
feat: Cartan's formula of Value Distribution Theory |
Prove Cartan's formula, which expresses the characteristic function of a meromorphic function `f` at `⊤` as a circle average of the logarithmic counting function. As an application, establish that the characteristic function is monotone on `(0, ∞)`.
Disclaimer: Claude Code was used in the preparation of this PR.
---
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|
t-analysis |
94/8 |
Mathlib/Analysis/Complex/ValueDistribution/Cartan.lean |
1 |
1 |
['github-actions'] |
j-loreaux assignee:j-loreaux |
4-21141 4 days ago |
11-1265 11 days ago |
11-916 11 days |
| 40710 |
khwilson author:khwilson |
chore(Analysis/Convex/Gauge): rename lemmas involving `{x | prop (gauge s x)}` |
Lemmas in `Mathlib.Analysis.Convex.Gauge` whose conclusions are of the form `{x | prop (gauge s x)}` are renamed to include `setOf_gauge` in the name rather than just `gauge` in line with recent work related to minkowski's second theorem. Deprecation aliases are added for all non-private renames.
Two downstream callers (`AbsConvexOpen.lean`, `Bernstein.lean`) are updated to use the new names.
Also moved `Balanced.starConvex` further up the import chain.
AI Disclosure: Generated with claude code
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t-analysis
LLM-generated
easy
|
46/25 |
Mathlib/Analysis/Convex/Gauge.lean,Mathlib/Analysis/LocallyConvex/AbsConvexOpen.lean,Mathlib/Analysis/LocallyConvex/Basic.lean,Mathlib/Analysis/SpecialFunctions/Bernstein.lean |
4 |
3 |
['github-actions', 'khwilson'] |
j-loreaux assignee:j-loreaux |
4-21139 4 days ago |
10-67151 10 days ago |
10-66829 10 days |
| 26803 |
bjoernkjoshanssen author:bjoernkjoshanssen |
feat: second partial derivatives test |
We prove that if `f` is a real-valued function on `n`-dimensional Euclidean space with vanishing gradient at `x₀`, ~~having a power series on a ball of positive radius around~~ twice continuously differentiable at `x₀`, whose second Frechét derivative is positive definite at `x₀`, then
`f` has local minimum at `x₀`.
This project was started at the Lean for Mathematicians workshop hosted by the Simons Foundation in June 2025 in a group consisting of Bjørn Kjos-Hanssen, Erin Griffin, Asaf Kapota, and Janani Lakshmanan, see repo at https://github.com/bjoernkjoshanssen/secondpartial
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t-analysis |
555/0 |
Mathlib.lean,Mathlib/Analysis/Calculus/PartialDerivativeTest.lean,Mathlib/Analysis/Normed/Operator/NormedSpace.lean |
3 |
36 |
['bjoernkjoshanssen', 'github-actions', 'j-loreaux', 'mathlib4-merge-conflict-bot', 'themathqueen'] |
j-loreaux assignee:j-loreaux |
4-20308 4 days ago |
4-20635 4 days ago |
13-68291 13 days |
| 31892 |
jsm28 author:jsm28 |
feat(Geometry/Euclidean/Sphere/PolePolar): poles and polars |
Define poles and polars for spheres in Euclidean affine spaces, and set up some basic API, including in particular La Hire's theorem (`p₁` lies on the polar of `p₂` if and only if `p₂` lies on the polar of `p₁`).
Poles and polars are actually meaningful for any quadric in a projective space over any field, but I think it's reasonable to set up this theory for spheres in the Euclidean context and potentially link it in future to more general projective geometry.
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t-euclidean-geometry |
159/0 |
Mathlib.lean,Mathlib/Geometry/Euclidean/Sphere/PolePolar.lean |
2 |
8 |
['Parcly-Taxel', 'github-actions', 'jsm28', 'kim-em', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
4-20159 4 days ago |
92-44189 92 days ago |
92-44600 92 days |
| 40571 |
yuanyi-350 author:yuanyi-350 |
feat(Powerseries): if `P.subst Q = X`, then ` Q.subst P = X` |
used in #37848
This adds a small helper for compositional inverses of power series.
If `P.constantCoeff = 0`, `coeff 1 P` is a unit, and `P.subst Q = X`, then `Q.subst P = X`.
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t-ring-theory |
13/0 |
Mathlib/RingTheory/PowerSeries/Substitution.lean |
1 |
3 |
['BoltonBailey', 'github-actions', 'grunweg'] |
nobody |
4-18121 4 days ago |
14-78484 14 days ago |
14-78135 14 days |
| 39693 |
yuanyi-350 author:yuanyi-350 |
feat(Combinatorics/Enumerative/Bell): sum over partition shapes |
Kill TODO in `Mathlib/Combinatorics/Enumerative/Bell.lean` which proves `Nat.bell` as a sum of `Multiset.bell` over partition shapes
---
Migrated from #37690
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t-combinatorics
maintainer-merge
|
123/35 |
Mathlib/Combinatorics/Enumerative/Bell.lean,Mathlib/Combinatorics/Enumerative/Partition/Basic.lean |
2 |
9 |
['YaelDillies', 'eric-wieser', 'github-actions'] |
nobody |
4-16747 4 days ago |
8-19459 8 days ago |
36-68411 36 days |
| 40981 |
LLaurance author:LLaurance |
chore(Algebra/Ring/BooleanRing): resolve TODO on non-terminal simp |
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t-algebra label:t-algebra$ |
1/3 |
Mathlib/Algebra/Ring/BooleanRing.lean |
1 |
1 |
['github-actions'] |
nobody |
4-16160 4 days ago |
4-16952 4 days ago |
4-16603 4 days |
| 38596 |
JJYYY-JJY author:JJYYY-JJY |
feat(LinearAlgebra/Matrix): add row-equivalence and echelon-form API |
This PR adds the first foundational slice of `Mathlib.LinearAlgebra.Matrix.Echelon`, a theorem-oriented API for elementary row operations, row-equivalence, and echelon-form predicates for matrices.
The main additions are:
* elementary row-scaling matrices and their `GL` versions;
* `Matrix.RowEquivalent` for the left action of `GL m R` on rectangular matrices;
* row-zero, pivot, echelon, and reduced-echelon predicates;
* semantic representative predicates `Matrix.IsEchelonFormOf` and `Matrix.IsReducedEchelonFormOf`.
This intentionally stops before row-space characterizations, existence and uniqueness of reduced echelon representatives, and the noncomputable canonical representative `Matrix.rref`; those are planned for later PRs.
Co-authored-by: Joseph Qian <jqian507@gmail.com>
Co-authored-by: Veer Shukla <shukvee@uw.edu>
Co-authored-by: Dhruv Bhatia <dhruvbhatia00@gmail.com>
Co-authored-by: Zheng Wu <1036819072@qq.com>
---
This update trims the original full row-reduction API in response to reviewer feedback that the PR was too large. It keeps only the foundation needed by later row-reduction and `rref` PRs. |
t-algebra
new-contributor
label:t-algebra$ |
294/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Matrix/Echelon.lean |
2 |
19 |
['JJYYY-JJY', 'SnirBroshi', 'bryangingechen', 'copilot-pull-request-reviewer', 'dagurtomas', 'github-actions', 'mathlib-merge-conflicts', 'mathlib-splicebot', 'themathqueen', 'wwylele'] |
themathqueen assignee:themathqueen |
4-16088 4 days ago |
4-16890 4 days ago |
34-76164 34 days |
| 40982 |
felixpernegger author:felixpernegger |
chore(Algebra/Category/ModuleCat/Stalk): avoid heartbeat modification |
Splitting up a `simp only` to get under the threshhold. Right now this is the only remaining heartbeat modification in mathlib.
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t-algebra label:t-algebra$ |
7/4 |
Mathlib/Algebra/Category/ModuleCat/Stalk.lean |
1 |
4 |
['felixpernegger', 'github-actions', 'leanprover-radar'] |
nobody |
4-15459 4 days ago |
4-16392 4 days ago |
4-16043 4 days |
| 37984 |
loefflerd author:loefflerd |
feat: abstract theory of measures |
General foundations of non-archimedean measure theory (intended for applications to Iwasawa algebras)
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t-topology |
313/0 |
Mathlib.lean,Mathlib/NumberTheory/Padics/Measure/Basic.lean,Mathlib/NumberTheory/Padics/Measure/Topology.lean |
3 |
14 |
['github-actions', 'j-loreaux', 'loefflerd', 'mathlib-dependent-issues', 'mcdoll'] |
j-loreaux assignee:j-loreaux |
4-13380 4 days ago |
33-59889 33 days ago |
48-60359 48 days |
| 40984 |
jujumumu author:jujumumu |
feat(Algebra/Homology): add A-infinity grading data |
This is the first PR in a series of PRs that are aimed at defining AInfinityCategories in Lean.
This initial PR defines the necessary grading definitions and RLinearGradedQuiver, which is the first step to defining what an AInfinityCategory is.
We have a general roadmap that looks like Graded Quivers -> AinfinityCategoryStruct -> AInfinityCategory just like how Mathlib has Quiver -> CategoryStruct -> Category.
I've been chatting with a few people on [zulip](https://leanprover.zulipchat.com/#narrow/channel/113489-new-members/topic/A-Infinity.20Categories) regarding this project.
More information can be found at this website: https://marcodavid.net/ainfinity/. We have done a lot of work on defining AInfinityCategories and functors and some basic properties of them. The most recent code can be found [here](https://github.com/marco-david/ainfinity-lean/tree/AInfinityCategories).
AI Usage: GPT 5.5 was used in the overall development of this project. But all of the lean code in this first commit was written by humans. We intend for all PRs to be written by humans.
|
t-algebra
new-contributor
label:t-algebra$ |
81/0 |
Mathlib.lean,Mathlib/Algebra/Homology/AInfinity/Grading.lean |
2 |
2 |
['github-actions'] |
nobody |
4-12166 4 days ago |
4-12961 4 days ago |
4-12612 4 days |
| 37562 |
IvanRenison author:IvanRenison |
feat(Combinatorics/SimpleGraph): add several lemmas about when `Walk.bypass` and `Walk.cycleBypass` do nothing |
Co-authored-by: Vlad Tsyrklevich <vlad@tsyrklevi.ch>
---
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|
t-combinatorics
maintainer-merge
|
43/0 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean |
1 |
16 |
['IvanRenison', 'SnirBroshi', 'YaelDillies', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
4-6061 4 days ago |
4-27799 4 days ago |
17-13856 17 days |
| 31135 |
kckennylau author:kckennylau |
feat(RingTheory): is localization iff is localization on saturation |
In this PR we show that `A` is a localization of `R` on the submonoid `S` iff it is so on the saturation of `S`.
Crucially, the saturation of `S` is precisely the elements that become a unit in `A`.
---
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|
t-ring-theory |
53/0 |
Mathlib.lean,Mathlib/RingTheory/Localization/Saturation.lean |
2 |
19 |
['alreadydone', 'chrisflav', 'github-actions', 'kckennylau', 'mathlib-bors', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'riccardobrasca'] |
chrisflav assignee:chrisflav |
4-5731 4 days ago |
4-5731 4 days ago |
36-73076 36 days |
| 38732 |
eric-wieser author:eric-wieser |
fix: revert and fix #38703 |
#38703 removed the canary intended to detect a broken lemma, without fixing the lemma.
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t-algebra label:t-algebra$ |
4/11 |
Mathlib/Algebra/Group/Action/Units.lean |
1 |
9 |
['github-actions', 'kbuzzard', 'mathlib-bors'] |
nobody |
4-5730 4 days ago |
4-5730 4 days ago |
4-62595 4 days |
| 37232 |
mathlib-splicebot author:mathlib-splicebot |
chore(Algebra/Order): bound on `|n / m|ₘ` and `|n - m|` |
This PR was automatically created from PR #34722 by @GrigorenkoPV via a [review comment](https://github.com/leanprover-community/mathlib4/pull/34722#discussion_r2996870566) by @Vierkantor. |
t-algebra label:t-algebra$ |
5/0 |
Mathlib/Algebra/Order/Group/Unbundled/Abs.lean |
1 |
10 |
['Vierkantor', 'bryangingechen', 'github-actions', 'mathlib-bors'] |
nobody |
4-5725 4 days ago |
4-5725 4 days ago |
4-5964 4 days |
| 38189 |
artie2000 author:artie2000 |
feat: simplify proof of `IsAdjoinRootMonic.mkOfAdjoinEqTop'` |
* Simplify the proof of `IsAdjoinRootMonic.mkOfAdjoinEqTop'` by factoring out a lemma `OrzechProperty.bijective_of_surjective_of_finrank_le` and making use of the existing lemma `finrank_le_iff_exists_linearMap`.
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|
t-ring-theory |
22/21 |
Mathlib/LinearAlgebra/Dimension/Free.lean,Mathlib/RingTheory/IsAdjoinRoot.lean |
2 |
15 |
['Vierkantor', 'artie2000', 'github-actions', 'mathlib-bors', 'riccardobrasca'] |
riccardobrasca assignee:riccardobrasca |
4-5722 4 days ago |
4-5722 4 days ago |
28-46781 28 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 ``μ.ennrealVariation = μ`.
Co-authored-by: @yoh-tanimoto
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|
t-measure-probability |
64/0 |
Mathlib/MeasureTheory/Measure/PreVariation.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Basic.lean,Mathlib/Order/Partition/Finpartition.lean |
3 |
16 |
['github-actions', 'leanprover-radar', 'mathlib4-merge-conflict-bot', 'oliver-butterley', 'yoh-tanimoto'] |
EtienneC30 assignee:EtienneC30 |
3-85195 3 days ago |
10-78038 10 days ago |
29-35139 29 days |
| 37730 |
RemyDegenne author:RemyDegenne |
feat: define total variation distance |
Define the total variation distance between two finite measures, using the variation of the difference seen as signed measures.
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t-measure-probability |
490/0 |
Mathlib.lean,Mathlib/MeasureTheory/Measure/Decomposition/Lebesgue.lean,Mathlib/MeasureTheory/Measure/MutuallySingular.lean,Mathlib/MeasureTheory/Measure/TotalVariation/Basic.lean,Mathlib/MeasureTheory/Measure/TotalVariation/Defs.lean,Mathlib/MeasureTheory/VectorMeasure/Basic.lean,Mathlib/MeasureTheory/VectorMeasure/TotalVariation.lean |
7 |
14 |
['DavidLedvinka', 'EtienneC30', 'RemyDegenne', 'github-actions', 'mathlib-merge-conflicts'] |
EtienneC30 assignee:EtienneC30 |
3-78541 3 days ago |
3-79380 3 days ago |
15-32084 15 days |
| 40961 |
JovanGerb author:JovanGerb |
chore: remove imports added by `shake` |
This PR removes some imports that were added by `shake` in the past.
For some of these it's not clear to me why `shake` added them. In particular, I noticed some occurrences of `public import Mathlib.Tactic.NormNum.Pow`/`Inv`, where `norm_num` is not used in the file at all, which I found suspicious.
For `CompileInductive`, it is expected that `shake` keeps the import, because of `shake: keep-downstream`, so these imports need to be minimzed manually, which this PR does.
For good measure, I also fixed an issue in `Mathlib.Tactic.NormNum.Pow` that some non-meta things were marked as `meta`.
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|
21/38 |
Mathlib/Algebra/ContinuedFractions/ConvergentsEquiv.lean,Mathlib/Algebra/Free.lean,Mathlib/Algebra/FreeMonoid/Basic.lean,Mathlib/Algebra/GroupWithZero/WithZero.lean,Mathlib/Algebra/Module/Submodule/Union.lean,Mathlib/Algebra/Opposites.lean,Mathlib/Algebra/Order/GroupWithZero/Basic.lean,Mathlib/Combinatorics/Enumerative/Stirling.lean,Mathlib/Combinatorics/Quiver/Path.lean,Mathlib/Combinatorics/SetFamily/AhlswedeZhang.lean,Mathlib/Data/FunLike/Basic.lean,Mathlib/Data/List/Basic.lean,Mathlib/Data/List/ChainOfFn.lean,Mathlib/Data/List/Defs.lean,Mathlib/Data/List/Induction.lean,Mathlib/Data/List/InsertIdx.lean,Mathlib/Data/Multiset/Defs.lean,Mathlib/Data/Nat/Hyperoperation.lean,Mathlib/Data/Num/Prime.lean,Mathlib/Data/Option/Basic.lean,Mathlib/Data/Ordmap/Ordnode.lean,Mathlib/Data/Seq/Computation.lean,Mathlib/Data/WSeq/Basic.lean,Mathlib/Logic/Equiv/Prod.lean,Mathlib/RingTheory/Ideal/Lattice.lean,Mathlib/SetTheory/Lists.lean,Mathlib/Tactic/NormNum/Pow.lean |
27 |
1 |
['github-actions'] |
nobody |
3-75285 3 days ago |
4-43477 4 days ago |
4-43779 4 days |
| 40925 |
JovanGerb author:JovanGerb |
chore:(CategoryTheory/Functor/Category): don't expose `NatTrans.hcomp` |
This PR hides the definition of `NatTrans.hcomp`, because it has two equally sensible possible definitions. As a result, we can get rid of the `to_dual_insert_cast`. `simps` doesn't work for non-exposed definition, so `hcomp_app` is proved separately, and its dual `hcomp_app'` is added.
Note: some proofs break, because the `dsimp` set changes, due to the definition not being exposed. This is a bit unfortunate. There was some discussion on Zulip about changing `dsimp` for category theory into a simp set, which would fix this problem, because we could then add `hcomp_app` to this set.
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maintainer-merge |
30/15 |
Mathlib/AlgebraicTopology/DoldKan/NCompGamma.lean,Mathlib/AlgebraicTopology/DoldKan/PInfty.lean,Mathlib/CategoryTheory/Functor/Category.lean,Mathlib/CategoryTheory/Monoidal/Action/End.lean,Mathlib/CategoryTheory/Monoidal/End.lean,Mathlib/CategoryTheory/Triangulated/TStructure/SpectralObject.lean,Mathlib/CategoryTheory/Types/Basic.lean |
7 |
8 |
['JovanGerb', 'github-actions', 'grunweg', 'leanprover-radar', 'riccardobrasca'] |
nobody |
3-70819 3 days ago |
3-74342 3 days ago |
4-62788 4 days |
| 39406 |
roos-j author:roos-j |
feat(Analysis): van der Corput's lemma |
Adds van der Corput's lemma on one-dimensional oscillatory integrals, a standard tool in harmonic analysis.
Co-authored-by: Manasa Praveen <Manasa_Praveen@student.uml.edu>
---
From https://github.com/roos-j/lean-oscillatory, see there for future plans
Zulip discussion [#mathlib4 > Oscillatory integrals in Lean](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Oscillatory.20integrals.20in.20Lean/with/584786060)
AI disclosure: The code in this PR was human-written. At some point there were attempts to shorten proofs using AI, but those have since been largely overwritten. Currently there is no significant AI-contributed code.
(Edited 6/18/26) |
t-analysis
new-contributor
|
495/1 |
Mathlib.lean,Mathlib/Analysis/Calculus/Deriv/Inv.lean,Mathlib/Analysis/Complex/Trigonometric.lean,Mathlib/Analysis/OscillatoryIntegrals/VanDerCorput.lean,Mathlib/Topology/Order/IntermediateValue.lean |
5 |
60 |
['github-actions', 'j-loreaux', 'mathlib-triage', 'roos-j'] |
j-loreaux assignee:j-loreaux |
3-64977 3 days ago |
3-66508 3 days ago |
33-63183 33 days |
| 40998 |
kbuzzard author:kbuzzard |
chore: remove tangent space backward respect transparency |
Is this the sort of thing we should be doing?
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t-differential-geometry |
2/3 |
Mathlib/Geometry/Manifold/IsManifold/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
3-64203 3 days ago |
3-65976 3 days ago |
3-65627 3 days |
| 40857 |
BryceT233 author:BryceT233 |
feat(RingTheory/Radical): radical of principal ideals in a UFD |
This PR resolves the "TODO" in `RingTheory/Radical/Basic.lean` by connecting `UniqueFactorizationMonoid.radical` with `Ideal.radical`.
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t-ring-theory
large-import
|
44/4 |
Mathlib/RingTheory/Radical/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
3-63849 3 days ago |
7-9551 7 days ago |
7-9202 7 days |
| 38009 |
CBirkbeck author:CBirkbeck |
feat(RingTheory/Valuation): define the valuation spectrum and its topology |
## Summary
Define the valuation spectrum `Spv A` of a commutative ring and equip it with the topology generated by basic open sets, following Wedhorn's *Adic Spaces*. Also define the pullback (`comap`) of a `ValuativeRel` along a ring homomorphism. This is preparation for later defining adic spaces.
Note the code was generated by claude code, but I have cleaned up and pre-reviewed the work.
|
t-ring-theory
LLM-generated
|
397/0 |
Mathlib.lean,Mathlib/RingTheory/Valuation/ValuationSpectrum.lean,Mathlib/RingTheory/Valuation/ValuativeRel/Comap.lean |
3 |
68 |
['CBirkbeck', 'adamtopaz', 'chrisflav', 'dagurtomas', 'faenuccio', 'github-actions', 'jjdishere', 'riccardobrasca'] |
alreadydone assignee:alreadydone |
3-62740 3 days ago |
5-35534 5 days ago |
69-54339 69 days |
| 39872 |
mkaratarakis author:mkaratarakis |
feat(RingTheory/Algebraic): add natDenominator API |
Add `AlgebraicDenominator.denominator` and `AlgebraicDenominator.natDenominator`,
characterizing denominators of algebraic elements as generators of a colon ideal and,
over `ℤ`, their absolute value as a natural-number denominator.
Part of the Gelfond–Schneider formalization; see #39873, #39875, and #39874.
---
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cc @tb65536 |
t-ring-theory |
68/0 |
Mathlib.lean,Mathlib/RingTheory/Algebraic/NatDenominator.lean |
2 |
4 |
['faenuccio', 'github-actions', 'mkaratarakis', 'tb65536'] |
faenuccio assignee:faenuccio |
3-60576 3 days ago |
24-60358 24 days ago |
32-51534 32 days |
| 40920 |
felixpernegger author:felixpernegger |
chore(Topology/Separation): remove defEq abuse |
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|
t-topology
tech debt
|
6/4 |
Mathlib/Topology/Separation/Basic.lean,Mathlib/Topology/Separation/CompletelyRegular.lean |
2 |
7 |
['chenson2018', 'felixpernegger', 'github-actions', 'grunweg'] |
nobody |
3-59937 3 days ago |
5-10362 5 days ago |
5-10387 5 days |
| 40807 |
Xmask19 author:Xmask19 |
feat: add TendstoCofinite lemma for polynomial functions |
This PR adds the lemma `TendstoCofinite_of_nonconst_polynomial`, which states that a nonconstant polynomial over a domain has the property that every fibre is finite.
Co-authored-by: Bhavik Mehta
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|
new-contributor
large-import
maintainer-merge
|
16/7 |
Mathlib/Algebra/Polynomial/Degree/Defs.lean,Mathlib/Algebra/Polynomial/Roots.lean,Mathlib/RingTheory/PowerBasis.lean |
3 |
6 |
['b-mehta', 'github-actions'] |
nobody |
3-56046 3 days ago |
4-27598 4 days ago |
4-29973 4 days |
| 40824 |
alejandro-soto-franco author:alejandro-soto-franco |
feat(Analysis/FunctionalSpaces): the one-dimensional Poincaré inequality |
Adds the one-dimensional Poincaré inequality `MeasureTheory.poincare_1d`: for
`f : ℝ → E` continuous on `[a, b]`, continuously differentiable on `(a, b)`, with
`f a = 0`,
```
∫⁻ x in Icc a b, ‖f x‖ₑ ^ 2 ≤ ENNReal.ofReal ((b - a) ^ 2) * ∫⁻ x in Icc a b, ‖deriv f x‖ₑ ^ 2.
```
The statement uses lower Lebesgue integrals of extended norms, so no integrability
hypothesis on the derivative is needed (the bound is automatic when the right-hand
side is infinite), and it holds for an arbitrary normed space `E`. The general
(not necessarily complete) `E` is handled by `wlog … : CompleteSpace E generalizing E`
together with the completion-embedding idiom, as in
`Mathlib/MeasureTheory/Integral/IntervalIntegral/DistLEIntegral.lean`.
Also adds the supporting `ENNReal.lintegral_sq_le_measure_mul_lintegral_sq`
(Cauchy–Schwarz for the lower Lebesgue integral against the constant `1`, the
`p = q = 2` case of Hölder) to `MeanInequalities.lean`.
This is the base case for an n-dimensional convex-domain version (Fubini over
coordinate slices), planned as a follow-up. The statement form (extended-norm
Lebesgue integrals, arbitrary normed space) follows [discussion with Sébastien
Gouëzel on Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/1D.20Poincar.C3.A9.20inequality).
---
AI assistance: this contribution was developed with the help of Claude Code Opus 4.8; the proof was
drafted and iteratively refined against the Lean compiler, then reviewed by me.
|
t-measure-probability
new-contributor
LLM-generated
|
272/18 |
Mathlib.lean,Mathlib/Analysis/FunctionalSpaces/PoincareInequality.lean,Mathlib/MeasureTheory/Integral/IntervalIntegral/ContDiff.lean,Mathlib/MeasureTheory/Integral/MeanInequalities.lean |
4 |
6 |
['alejandro-soto-franco', 'eric-wieser', 'github-actions'] |
sgouezel assignee:sgouezel |
3-33130 3 days ago |
8-34891 8 days ago |
8-34566 8 days |
| 40975 |
bwangpj author:bwangpj |
feat(LinearAlgebra): complex structures on real vector spaces |
Define complex structures,i .e. an `ℝ`-linear endomorphism `J` of a real vector space `V` with `J * J = -1`. |
t-algebra label:t-algebra$ |
93/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Complex/Structure.lean |
2 |
4 |
['bwangpj', 'github-actions', 'grunweg', 'wwylele'] |
nobody |
3-28367 3 days ago |
4-30116 4 days ago |
4-29767 4 days |
| 31092 |
FlAmmmmING author:FlAmmmmING |
feat(Algebra/Group/ForwardDiff.lean): Add theorem `sum_shift_eq_fwdDiff_iter`. |
---
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|
t-algebra
new-contributor
label:t-algebra$ |
17/1 |
Mathlib/Algebra/Group/ForwardDiff.lean |
1 |
24 |
['BeibeiX0', 'FlAmmmmING', 'Ruben-VandeVelde', 'dagurtomas', 'github-actions', 'jcommelin', 'mathlib-bors', 'mathlib4-merge-conflict-bot'] |
ocfnash assignee:ocfnash |
3-21148 3 days ago |
4-5733 4 days ago |
58-27439 58 days |
| 33247 |
sun123zxy author:sun123zxy |
feat(Mathlib/RingTheory/Ideal/Cotangent): dimension of cotangent spaces |
It is shown that the span rank of the maximal ideal of a local ring equals the dimension of the cotangent space
if the maximal ideal is finitely generated.
---
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- [ ] depends on: #33359
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-ring-theory
|
39/0 |
Mathlib/RingTheory/Ideal/Cotangent.lean |
1 |
15 |
['erdOne', 'github-actions', 'mathlib-bors', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'sun123zxy'] |
alreadydone assignee:alreadydone |
3-21148 3 days ago |
20-79116 20 days ago |
24-65966 24 days |
| 36428 |
wrenna-robson author:wrenna-robson |
feat(Logic/Equiv/Fin): Streamline equiv definitions using mkDivMod |
This PR uses Fin.mkDivMod to streamline the related equivalence and introduces Nat.mkDivMod to a similar end.
---
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|
t-data |
64/67 |
Mathlib/Analysis/SpecialFunctions/Complex/Arctan.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Series.lean,Mathlib/Data/Nat/Init.lean,Mathlib/Logic/Equiv/Fin/Basic.lean,Mathlib/NumberTheory/Height/MvPolynomial.lean,Mathlib/Order/Partition/Equipartition.lean |
6 |
5 |
['JovanGerb', 'github-actions', 'mathlib-merge-conflicts', 'wrenna-robson'] |
TwoFX assignee:TwoFX |
3-21146 3 days ago |
10-61308 10 days ago |
10-72056 10 days |
| 37680 |
IvanRenison author:IvanRenison |
feat(Combinatorics/SimpleGraph/Clique): add lemmas about isomorphisms and cliques |
---
Idea from this Zulip thread: [#**graph theory>Second Order Monadic Logic for Graph** ](https://leanprover.zulipchat.com/#narrow/channel/252551-graph-theory/topic/Second.20Order.20Monadic.20Logic.20for.20Graph/with/583013775)
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
86/0 |
Mathlib/Combinatorics/SimpleGraph/Clique.lean |
1 |
6 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
b-mehta assignee:b-mehta |
3-21143 3 days ago |
20-60822 20 days ago |
20-61005 20 days |
| 37723 |
xgenereux author:xgenereux |
feat(Adjoin/Polynomial/Transcendental): Adjoining transcendental elements |
This PR establishes some basic properties about `A[y]` when `y` is transcendental over `A`. These are mostly just carried over from `A[X]`.
- Move `algEquivOfTranscendental` in the newly created file `Mathlib.RingTheory.Adjoin.Polynomial.Transcendental`
- Add `Algebra.adjoin.evalOfTranscendental`. This is technically very similar to `Algebra.adjoin.liftSingleton` but the definition is much simpler. It is also currently more general in the sense that it doesn't require `A` to be a field.
- Some basic instances from `Polynomial`. Note that these are actually theorems because of the hypothesis `(h : Transcendental R s)` everywhere. I've also added a `Fact` version to allow the possibility of instances.
Last note : I initially considered adding some results in `RingTheory.Polynomial.Quotient` where I golfed the file a tiny bit. I removed the unused results but kept the golf.
AI disclaimer : I used Claude to give me some feedback on the PR.
Co-authored-by: María Inés de Frutos Fernández <[mariaines.dff@gmail.com](mailto:mariaines.dff@gmail.com)>
---
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
167/70 |
Mathlib.lean,Mathlib/FieldTheory/RatFunc/AsPolynomial.lean,Mathlib/RingTheory/Adjoin/Polynomial/Basic.lean,Mathlib/RingTheory/Adjoin/Polynomial/Bivariate.lean,Mathlib/RingTheory/Adjoin/Polynomial/Transcendental.lean,Mathlib/RingTheory/Algebraic/Basic.lean,Mathlib/RingTheory/Polynomial/Quotient.lean |
7 |
5 |
['github-actions', 'leanprover-radar', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'riccardobrasca'] |
jjdishere assignee:jjdishere |
3-21140 3 days ago |
23-65257 23 days ago |
23-67090 23 days |
| 37878 |
YaelDillies author:YaelDillies |
chore(Combinatorics/SimpleGraph): avoid structure relation predicates |
Relation predicates used to be `def`s over a `forall`, which was optimal for usability in fields of other structures. This changed in #35591 and #35192 as a byproduct of reducing apparent code duplication. Unfortunately, the usability issue was overlooked.
This PR restores usability by dropping the use of those relation classes that are `structure`s, ie `Std.Irrefl` and `Std.Transitive`. It also uses more widely the `simp` auto-param on `SimpleGraph.loopless`.
---
- [x] depends on: #38554
I would also be happy to revert #35591 and #35192 since this demonstrates a good use case for the `def` versions of the relation predicates.
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
80/84 |
Archive/Wiedijk100Theorems/Konigsberg.lean,Mathlib/Combinatorics/SimpleGraph/AdjMatrix.lean,Mathlib/Combinatorics/SimpleGraph/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Bipartite.lean,Mathlib/Combinatorics/SimpleGraph/Clique.lean,Mathlib/Combinatorics/SimpleGraph/CompleteMultipartite.lean,Mathlib/Combinatorics/SimpleGraph/FiveWheelLike.lean,Mathlib/Combinatorics/SimpleGraph/Hall.lean,Mathlib/Combinatorics/SimpleGraph/LineGraph.lean,Mathlib/Combinatorics/SimpleGraph/Maps.lean,Mathlib/Combinatorics/SimpleGraph/Operations.lean,Mathlib/Combinatorics/SimpleGraph/Prod.lean,Mathlib/Combinatorics/SimpleGraph/Regularity/Uniform.lean,Mathlib/Combinatorics/SimpleGraph/Subgraph.lean,Mathlib/Combinatorics/SimpleGraph/Sum.lean,Mathlib/Combinatorics/SimpleGraph/Trails.lean,Mathlib/Combinatorics/SimpleGraph/Triangle/Tripartite.lean,Mathlib/ModelTheory/Graph.lean,Mathlib/Order/RelClasses.lean |
19 |
18 |
['SnirBroshi', 'Vierkantor', 'YaelDillies', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
b-mehta assignee:b-mehta |
3-21138 3 days ago |
13-78936 13 days ago |
37-77009 37 days |
| 37964 |
mortarsanjaya author:mortarsanjaya |
feat(Algebra/Order/Floor): weaken assumptions on theorems about `FloorRing` |
This PR weakens as much assumptions as possible on theorems about `FloorSemiring` and `FloorRing`. Mainly, `IsOrderedRing` and `IsStrictOrderedRing` are weakened to just `IsOrderedAddMonoid` or removed completely from the assumptions on the theorems.
Most theorems can be generalized as is or only requires a minor modification of replacing lemmas about casting naturals/integers preserving order (the likes of `Nat.cast_le`, `Int.cast_lt`, etc.) with the corresponding version for `FloorRing`. Some other lemmas require modification in the proofs, but these changes shorten the proofs. The new proof of the theorem `Int.mul_cast_floor_div_cancel_of_pos` requires an extra import.
The assumption `IsOrderedAddMonoid` is required on lemmas that involve comparison + addition, and `IsOrderedRing` is required only on lemmas that involve comparison + multiplication of two non-integer elements.
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t-algebra
new-contributor
label:t-algebra$ |
254/258 |
Mathlib/Algebra/Order/Floor/Defs.lean,Mathlib/Algebra/Order/Floor/Ring.lean,Mathlib/Algebra/Order/Floor/Semiring.lean,Mathlib/Algebra/Order/Round.lean,Mathlib/Data/Int/Log.lean,Mathlib/Data/Rat/Floor.lean,Mathlib/Topology/Algebra/Order/Floor.lean |
7 |
7 |
['github-actions', 'leanprover-radar', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mortarsanjaya'] |
ocfnash assignee:ocfnash |
3-21137 3 days ago |
24-54878 24 days ago |
24-58383 24 days |
| 38169 |
tb65536 author:tb65536 |
chore(GroupTheory/Finiteness): make `Subgroup.FG` a class |
This PR refactors `Subgroup.FG` to be a class to match `Group.FG`.
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t-algebra
t-group-theory
label:t-algebra$ |
37/20 |
Mathlib/GroupTheory/Commutator/Finite.lean,Mathlib/GroupTheory/Finiteness.lean,Mathlib/GroupTheory/Rank.lean,Mathlib/GroupTheory/Schreier.lean |
4 |
10 |
['JovanGerb', 'github-actions', 'mathlib-bors', 'riccardobrasca', 'tb65536'] |
faenuccio assignee:faenuccio |
3-21137 3 days ago |
57-57745 57 days ago |
71-45555 71 days |
| 38328 |
astrainfinita author:astrainfinita |
feat: `OrderSupSet` |
This PR introduces `OrderSupSet` and `OrderInfSet`, which are typeclasses expressing that `sSup` (resp., `sInf`) returns the least upper bound (resp., the greatest lower bound) of a set whenever one exists.
This allows us to prove properties about the `sSup` of specific sets (such as `∅`, singletons, finite sets, and `univ`) without any typeclasses asserting the existence of LUBs. For example, `sSup ∅ = ⊥` holds for any type equipped with `OrderBot` `OrderSupSet`, no longer requiring typeclasses like `ConditionallyCompleteLinearOrderBot`.
For a general set `s`, this gives a uniform way to extend results about `IsLUB s a → motive a` to `motive (sSup s)`, `motive (⨆ i, f i)`, `motive (a ⊔ b)`, etc., which allows proof reuse for basic API such as [`csSup_insert`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Order/ConditionallyCompleteLattice/Basic.html#csSup_insert), [`iSup_insert`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Order/CompleteLattice/Basic.html#iSup_insert), and [`sSup_insert`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Order/CompleteLattice/Basic.html#sSup_insert) and downstream code like [`csSup_add`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Algebra/Order/Group/Pointwise/CompleteLattice.html#csSup_add), [`sSup_add`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Algebra/Order/Group/Pointwise/CompleteLattice.html#sSup_add), and [`sup_add`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Algebra/Order/Group/Lattice.html#sup_add).
Furthermore, this allows us to refactor incrementally, reducing the dependency of results about various completeness typeclasses on the specific implementation of `sSup`.
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|
t-order |
156/73 |
Mathlib/MeasureTheory/OuterMeasure/Induced.lean,Mathlib/Order/Bounds/Basic.lean,Mathlib/Order/Bounds/Defs.lean,Mathlib/Order/CompleteLattice/Basic.lean,Mathlib/Order/CompleteLattice/Defs.lean,Mathlib/Order/SetNotation.lean,Mathlib/Topology/UniformSpace/OfCompactT2.lean |
7 |
16 |
['JovanGerb', 'astrainfinita', 'b-mehta', 'github-actions', 'j-loreaux', 'mathlib-merge-conflicts', 'openendings', 'vihdzp'] |
bryangingechen assignee:bryangingechen |
3-21134 3 days ago |
49-83963 49 days ago |
55-27922 55 days |
| 38815 |
dagurtomas author:dagurtomas |
feat(Tactic/CategoryTheory): extend `@[to_app]` to natural transformations |
This extends the `@[to_app]` attribute so it also generates componentwise lemmas from equalities of natural transformations between functors, while preserving the existing bicategory behavior. It also ensures generated component lemmas remain usable by dsimp when they are definitionally true. |
t-category-theory
LLM-generated
t-meta
|
148/22 |
Mathlib/Tactic/CategoryTheory/ToApp.lean,Mathlib/Util/AddRelatedDecl.lean,MathlibTest/CategoryTheory/ToApp.lean |
3 |
1 |
['github-actions'] |
adamtopaz assignee:adamtopaz |
3-21129 3 days ago |
57-45747 57 days ago |
57-45452 57 days |
| 38856 |
SnirBroshi author:SnirBroshi |
feat(Order/ConditionallyCompleteLattice/Indexed): `iSup_iSup_eq_{left/right}` for `ConditionallyCompleteLinearOrderBot` |
and `≤` versions for `ConditionallyCompleteLattice`.
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|
t-order |
32/9 |
Mathlib/Order/CompleteLattice/Basic.lean,Mathlib/Order/ConditionallyCompleteLattice/Indexed.lean |
2 |
1 |
['github-actions'] |
bryangingechen assignee:bryangingechen |
3-21128 3 days ago |
56-8692 56 days ago |
56-8343 56 days |
| 38859 |
SnirBroshi author:SnirBroshi |
feat(Order/CompleteLattice/Basic): tag `iSup_of_empty'` with `@[simp]` |
The theorem says `iSup f = sSup ∅` when the domain of `f` is empty, and dually `iInf f = sInf ∅`.
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t-order |
31/47 |
Mathlib/Algebra/Order/Archimedean/Real/Basic.lean,Mathlib/Analysis/Normed/Lp/lpSpace.lean,Mathlib/Analysis/Seminorm.lean,Mathlib/Data/ENat/Lattice.lean,Mathlib/Data/NNReal/Basic.lean,Mathlib/Data/Set/Finite/Lattice.lean,Mathlib/LinearAlgebra/Eigenspace/Pi.lean,Mathlib/MeasureTheory/Constructions/BorelSpace/Order.lean,Mathlib/Order/CompleteLattice/Basic.lean,Mathlib/Order/ConditionallyCompleteLattice/Indexed.lean,Mathlib/Order/ConditionallyCompletePartialOrder/Indexed.lean,Mathlib/Order/Filter/Basic.lean,Mathlib/Order/Filter/Lift.lean,Mathlib/Order/Lattice/Nat.lean |
14 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
bryangingechen assignee:bryangingechen |
3-21127 3 days ago |
34-63896 34 days ago |
55-10604 55 days |
| 38906 |
lua-vr author:lua-vr |
feat(ConditionallyCompleteLattice/Indexed): add binary versions of lemmas |
Add binary versions of some of the lemmas. Those are useful when the domain is indexed over the members of a set.
From the Carleson project.
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t-order
carleson
|
21/5 |
Mathlib/Order/ConditionallyCompleteLattice/Indexed.lean |
1 |
19 |
['JovanGerb', 'SnirBroshi', 'github-actions', 'grunweg', 'lua-vr', 'mathlib-merge-conflicts'] |
bryangingechen assignee:bryangingechen |
3-21124 3 days ago |
39-58369 39 days ago |
49-31933 49 days |
| 39046 |
adamtopaz author:adamtopaz |
feat(LinearAlgebra): fill two proof_wanted declarations |
... and generalize `AlgHom.bijective` and move to earlier file.
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t-algebra
easy
label:t-algebra$ |
16/11 |
Mathlib/LinearAlgebra/Determinant.lean,Mathlib/LinearAlgebra/FiniteDimensional/Basic.lean,Mathlib/LinearAlgebra/Trace.lean,Mathlib/RingTheory/Algebraic/Integral.lean |
4 |
7 |
['github-actions', 'themathqueen'] |
chrisflav assignee:chrisflav |
3-21124 3 days ago |
11-36480 11 days ago |
12-66081 12 days |
| 39098 |
BoltonBailey author:BoltonBailey |
chore(Data/Vector): add `grind` to cons lemmas |
This PR affects `List.Vector.head_cons` and `List.Vector.tail_cons`. It moves the simp attribute assignment of these lemmas to the lemma declarations and also applies the `grind =` attribute.
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t-data |
2/2 |
Mathlib/Data/Vector/Basic.lean,Mathlib/Data/Vector/Defs.lean |
2 |
4 |
['BoltonBailey', 'github-actions', 'leanprover-radar'] |
eric-wieser assignee:eric-wieser |
3-21123 3 days ago |
40-22456 40 days ago |
49-35737 49 days |
| 39288 |
FordUniver author:FordUniver |
feat(Combinatorics/SimpleGraph/Subgraph): add `Embedding.ofIsInduced` and `IsInduced.map` |
Three additions to the `SimpleGraph.Subgraph` API for induced subgraphs. `Embedding.ofIsInduced` is the canonical embedding of an induced subgraph into its ambient graph, paired with `toHom_ofIsInduced` and `ofIsInduced_apply` lemmas. This is the embedding counterpart of `Subgraph.hom`, which only produces a homomorphism because non-induced subgraphs do not reflect adjacency. `Subgraph.IsInduced.map` then records that the image of an induced subgraph under a graph embedding is induced, strengthened to `IsInduced.map_iff` for the iso case.
Co-authored-by: Malte Jackisch <45597826+MaltyBlanket@users.noreply.github.com>
---
**Orthogonal pre-requisite of the `Copy` / `InducedCopy` refactor-feat stack.**
Extracted as a prerequisite from #38631 that is otherwise independent of the wider `Copy` / `InducedCopy` refactor-feat stack. |
t-combinatorics |
27/4 |
Mathlib/Combinatorics/SimpleGraph/Copy.lean,Mathlib/Combinatorics/SimpleGraph/Subgraph.lean |
2 |
16 |
['FordUniver', 'SnirBroshi', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts'] |
b-mehta assignee:b-mehta |
3-21118 3 days ago |
33-84387 33 days ago |
45-33554 45 days |
| 39366 |
akiezun author:akiezun |
feat(Data/Nat): add prime divisibility for ascFactorial and choose |
Adds two prime-divisibility lemmas for natural-number factorial/binomial APIs.
The first characterizes when a prime divides an ascending factorial:
`Nat.Prime.dvd_ascFactorial_iff`.
The second applies this to binomial coefficients:
`Nat.Prime.dvd_choose_add_sub_one_iff`, using
`Nat.ascFactorial_eq_factorial_mul_choose'` and cancellation of the `n!` factor
when `n < p`.
---
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t-data
new-contributor
large-import
|
46/0 |
Mathlib.lean,Mathlib/Data/Nat/Choose/Consecutive.lean,Mathlib/Data/Nat/Factorial/BigOperators.lean |
3 |
9 |
['SnirBroshi', 'akiezun', 'github-actions', 'wwylele'] |
eric-wieser assignee:eric-wieser |
3-21117 3 days ago |
40-45425 40 days ago |
44-55455 44 days |
| 39369 |
pd4st8hb95-hub author:pd4st8hb95-hub |
feat: add basic fuzzy set definitions |
This PR adds a minimal `FuzzySet` API in `Mathlib/Order/FuzzySet`.
A fuzzy set is represented as an abbreviation:
`FuzzySet α L := α → L`
The file provides basic definitions and lemmas:
- `degree`
- `support`
- `core`
- `weakCut`
- `strongCut`
- membership simp lemmas
- extensionality
- basic monotonicity lemmas for weak and strong cuts
This PR intentionally does not add complement, union/intersection-specific API, normal or convex fuzzy sets, fuzzy relations, or advanced fuzzy set theory.
Validation:
- `lake build Mathlib.Order.FuzzySet`
- `#lint only docBlame docBlameThm`
Feedback on whether `Mathlib/Order/FuzzySet.lean` is the right location for this minimal API would be appreciated.
---
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t-order
new-contributor
|
169/0 |
Mathlib.lean,Mathlib/Order/FuzzySet.lean |
2 |
6 |
['github-actions', 'grunweg', 'pd4st8hb95-hub', 'wwylele'] |
bryangingechen assignee:bryangingechen |
3-21116 3 days ago |
42-60377 42 days ago |
42-60388 42 days |
| 39438 |
SnirBroshi author:SnirBroshi |
chore(Order/WellFounded): use `to_dual` |
Creates `argmax`/`argmaxOn` duals to the existing `argmin`/`argminOn`,
and `WellFoundedLT.min`/`WellFoundedGT.max` in order to properly dualize `WellFounded.min_le`.
Some theorems about `WellFounded{LT/GT}` which didn't have a dual before have to be renamed to make room,
e.g. `StrictMono.range_inj` is renamed to `StrictMono.range_inj_of_wellFoundedLT`.
---
This is blocking dualizing things in `ConditionallyCompleteLattice/Basic.lean`.
`WellFounded.min_le` has ~30 usages in ~10 files, so deprecating it should probably happen in a separate PR.
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t-order |
83/34 |
Mathlib/Data/Finset/Sort.lean,Mathlib/Order/Hom/Set.lean,Mathlib/Order/WellFounded.lean,Mathlib/SetTheory/Ordinal/Enum.lean,Mathlib/Tactic/Translate/ToDual.lean |
5 |
10 |
['JovanGerb', 'SnirBroshi', 'github-actions', 'vihdzp'] |
bryangingechen assignee:bryangingechen |
3-21114 3 days ago |
43-17395 43 days ago |
43-25642 43 days |
| 39495 |
hawkrobe author:hawkrobe |
feat(Data/Multiset/Antidiagonal): `antidiagonal_add` and `map_swap_antidiagonal` |
Adds `map_swap_antidiagonal` and `antidiagonal_add`.
---
Fills out the API parallel to `Multiset.Nat.map_swap_antidiagonal` and `Finset.map_swap_antidiagonal`. (And adds `@[congr]` to `bind_congr`.)
Used for shuffle-coproduct constructions.
(#7486, I found this old [Zulip thread](https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/antidiagonals.20having.20multiplicity.20.237595/near/238573473))
I used Claude Code to audit and polish. |
t-data
new-contributor
LLM-generated
|
19/0 |
Mathlib/Data/Multiset/Antidiagonal.lean,Mathlib/Data/Multiset/Bind.lean |
2 |
8 |
['github-actions', 'hawkrobe', 'j-loreaux', 'mathlib-bors'] |
eric-wieser assignee:eric-wieser |
3-21113 3 days ago |
3-46566 3 days ago |
41-40481 41 days |
| 39505 |
dannyhe652 author:dannyhe652 |
feat(SimpleGraph): add Vizing's theorem for edge coloring |
Hi! I'm a high school student interested in formulization of mathematics in Lean. Recently, I have worked on a project to formulize Vizing Theorem with Daniel Raggi from Cambridge University with AI assistance. In particular, we first drafted an outline for the proof, and built the proof using Claude Opus 4.5 and 4.6. The proof is optimized using Aristotle and finally reviewed by ourselves. We rewrote some parts of the code and some comments. The code now builds cleanly and we wish this code to be reviewed by Lean Community. I am aware that there are previous attempts, some being successful, on formulizing Vizing Theorem, including this one by Arohee https://github.com/aroheebhoja/vizing. However, I believe that no PR have been made. Our proof is not based on his proof, but it could be helpful for the community to review that project as well. I sincerely thank everyone who has time to verify and review our code. A summary of the project is as follows. Please contact me if there are any questions or problems.
## Summary
This PR completes the proof of **Vizing's theorem** for edge coloring in simple graphs, proving that the chromatic index of any graph is either Δ (the maximum degree) or Δ + 1.
## Changes
### New files
- **`Mathlib/Combinatorics/SimpleGraph/Coloring/EdgeColoring.lean`** — Core definitions
- `edgeColoring`: Type for line graph colorings
- `edgeColorable`: Graph is edge-colorable with n colors
- `chromaticIndex`: Chromatic index as ℕ
- **`Mathlib/Combinatorics/SimpleGraph/Coloring/KempeChain.lean`** — Kempe Chain
- Coloring observables: `incidentEdges`, `incidentColors`, `missingColors`
- Kempe subgraph structure with bounded degree
- `swapKempe`: Recolor edges in a connected component via color-swapping
- **`Mathlib/Combinatorics/SimpleGraph/Coloring/VizingFan.lean`** — Vizing Fan Rotation
- `IsFan`: Vizing fan structure with special color properties
- Fan maximality and dichotomy on terminal vertices
- `rotate_termA`: Extend coloring when a free color exists at both endpoints
- `vizingAdjacencyLemma`: Main adjacency lemma for both cases
- **`Mathlib/Combinatorics/SimpleGraph/Coloring/VizingTheorem.lean`** — Main theorems
- `edge_eq_of_color_eq`: Proper edge colorings assign different colors to distinct edges sharing a vertex
- `maxDegree_le_chromaticIndex`: χ'(G) ≥ Δ(G)
- `chromaticIndex_bot`: Empty graph has chromatic index 0
- `vizingUpperBound_aux`: Inductive proof of upper bound on number of edge
- `vizingTheorem`: χ'(G) ∈ {Δ(G), Δ(G) + 1}
### Modified files
- `Mathlib.lean` — Added imports for the four new coloring modules
## Technical Approach
**Lower bound** (χ'(G) ≥ Δ):
- Edges incident to a max-degree vertex form a clique in the line graph
- Clique number lower-bounds chromatic number
**Upper bound** (χ'(G) ≤ Δ + 1):
- Induction on the number of edges
- Base case: empty graph colored with 0 colors
- Inductive step:
- If a free color exists at both endpoints of an edge, then extend directly
- Otherwise:
- Build a maximal fan from one endpoint
- Apply dichotomy: either extend via Term-A (free color at both endpoints) or Term-B (Kempe swap)
- Term-B uses a three-vertex connectivity argument to derive a contradiction, forcing the fan to extend
## Key Lemmas
- `incidentEdges`, `incidentColors`, `missingColors`: Coloring observables at vertices
- `kempeSubgraph`: Restricted subgraph of edges with two specific colors
- `swapKempe`: Recolor via Kempe chain swapping
- `IsFan.singleton`: Trivial fan always valid
- `IsFan.length_le_card`: Fan length is bounded by vertex count
- `IsFan.dichotomy`: Maximal fan satisfies Term-A or Term-B
- `IsFan.rotate_termA`: Term-A case extends the coloring inductively
- `vizingAdjacencyLemma`: Handles both cases for extending one edge
- `vizingUpperBound_aux`: Framework for full inductive proof
- `edge_eq_of_color_eq`: Distinctness of edges with same color
## Testing
All four modules compile with no `sorry` nor errors or warnings.
## References
* V. G. Vizing, *On an estimate of the chromatic class of a p-graph*,
Diskret. Analiz. 3 (1964), 25–30.
## Co-authors
Co-authored-by: Daniel Raggi <dr495@cam.ac.uk>
Co-authored-by: Aristotle (Harmonic) <aristotle-harmonic@harmonic.fun>
Co-authored-by: Claude Opus 4.5 & 4.6 <noreply@anthropic.com>
---
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t-combinatorics
new-contributor
LLM-generated
|
1913/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/EdgeColoring.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/KempeChain.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/VizingFan.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/VizingTheorem.lean |
5 |
4 |
['github-actions', 'mathlib-merge-conflicts'] |
b-mehta assignee:b-mehta |
3-21112 3 days ago |
8-81904 8 days ago |
29-57408 29 days |
| 39530 |
RaggedR author:RaggedR |
feat(Combinatorics/SimpleGraph): group actions on simple graphs |
This adds the first connection between Mathlib's MulAction and SimpleGraph libraries. The GraphAction class asserts that a group action on the vertex type preserves the adjacency relation, and builds on it to define vertex-transitivity and arc-transitivity for graphs.
The GraphAction typeclass gives adj_smul_iff (the biconditional for group actions) and toIso (each group element induces a graph automorphism). The IsVertexTransitive class combines GraphAction with IsPretransitive, and IsArcTransitive requires transitivity on ordered adjacent pairs (arcs).
The main theorem is the standard characterization: a graph is arc-transitive if and only if it is vertex-transitive and locally transitive (the stabilizer of each vertex acts transitively on its neighbors). The forward direction is proved directly by composing a vertex-transporting element with a neighbor-transporting stabilizer element. The reverse direction shows that an arc-transitive graph with no isolated vertices is vertex-transitive.
These definitions are the algebraic graph theory prerequisites for formalizing coset graphs (Sabidussi's construction) and the characterization of symmetric graphs via double cosets and involutions (Lorimer's theorem).
---
LLM tools were used to assist with Lean formalization. The mathematical content is the author's own work. |
t-combinatorics
new-contributor
LLM-generated
|
130/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Action.lean |
2 |
7 |
['RaggedR', 'b-mehta', 'github-actions', 'mathlib-bors'] |
b-mehta assignee:b-mehta |
3-21112 3 days ago |
35-70530 35 days ago |
40-38631 40 days |
| 39549 |
Hagb author:Hagb |
feat(Order/RelIso/Basic): `swap`s and `compl`s are `Equiv`s |
---
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|
t-order |
13/8 |
Mathlib/Order/RelIso/Basic.lean |
1 |
3 |
['Hagb', 'github-actions', 'leanprover-radar'] |
bryangingechen assignee:bryangingechen |
3-21110 3 days ago |
40-38161 40 days ago |
40-37812 40 days |
| 39553 |
Brian-Nugent author:Brian-Nugent |
feat(Algebra/CategoryTheory/ModuleCat): Locally Free is local |
We define `SheafOfModules.LocalGeneratorsData.bind` just like `SheafOfModules.QuasicoherentData.bind` and use it to show that being locally free is a local condition.
---
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|
t-algebra label:t-algebra$ |
61/4 |
Mathlib/Algebra/Category/ModuleCat/Sheaf/Generators.lean,Mathlib/Algebra/Category/ModuleCat/Sheaf/LocallyFree.lean,Mathlib/Algebra/Category/ModuleCat/Sheaf/Quasicoherent.lean |
3 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
kim-em assignee:kim-em |
3-21110 3 days ago |
20-41690 20 days ago |
20-47899 20 days |
| 39567 |
AlexBrodbelt author:AlexBrodbelt |
feat(Mathlib/Data/Finite/Option): option type is finite iff type is finite |
Option type is finite if and only if the type is finite.
This is an intermediate result to proving that if the `GroupWithZero` is (in)finite then the `Units` are (in)finite.
---
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t-data
new-contributor
|
25/0 |
Mathlib.lean,Mathlib/Data/Finite/Option.lean |
2 |
14 |
['AlexBrodbelt', 'github-actions', 'plp127', 'themathqueen'] |
TwoFX assignee:TwoFX |
3-21109 3 days ago |
39-73970 39 days ago |
39-74235 39 days |
| 39627 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/LapMatrix): 0 is always an eigenvalue |
and the determinant is always zero, plus a few other small lemmas.
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|
t-combinatorics |
71/15 |
Mathlib/Combinatorics/SimpleGraph/LapMatrix.lean |
1 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
b-mehta assignee:b-mehta |
3-21107 3 days ago |
37-67517 37 days ago |
38-28478 38 days |
| 39696 |
jsm28 author:jsm28 |
refactor(LinearAlgebra/Orientation,LinearAlgebra/AffineSpace/FiniteDimensional): instances for arbitrary orientations |
Based on suggestions by @kim-em on Zulip https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/PRs.20towards.20IMO.20geometry.202024.20P4/near/596946072 add convenience scoped instances for choosing an arbitrary orientation of a module, and for the `finrank` of the span of the vertices of a simplex.
Note: I don't understand why the latter scoped instance is only found automatically in one of the two places using it; in `Sphere/Power.lean` it's necessary to use `Affine.Simplex.fact_finrank_direction_affineSpan_eq` rather than relying on typeclass inference, but in `Angle/Sphere.lean` typeclass inference suffices.
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t-algebra
t-euclidean-geometry
label:t-algebra$ |
26/23 |
Archive/Imo/Imo2019Q2.lean,Mathlib/Geometry/Euclidean/Angle/Sphere.lean,Mathlib/Geometry/Euclidean/Sphere/Power.lean,Mathlib/LinearAlgebra/AffineSpace/FiniteDimensional.lean,Mathlib/LinearAlgebra/Orientation.lean |
5 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
eric-wieser assignee:eric-wieser |
3-21103 3 days ago |
35-40955 35 days ago |
36-59963 36 days |
| 39898 |
yuanyi-350 author:yuanyi-350 |
refactor(Analysis): golf `Mathlib/Analysis/Normed/Unbundled/AlgebraNorm` |
- refactors `Normed/Unbundled/AlgebraNorm` by using structure inheritance in `MulRingNorm.toRingNorm`
---
Extracted from #37968
[](https://gitpod.io/from-referrer/) |
codex
t-analysis
LLM-generated
maintainer-merge
|
2/6 |
Mathlib/Analysis/Normed/Unbundled/AlgebraNorm.lean |
1 |
11 |
['ADedecker', 'JonBannon', 'faenuccio', 'github-actions', 'j-loreaux', 'themathqueen', 'yuanyi-350'] |
nobody |
3-18133 3 days ago |
4-73985 4 days ago |
31-46951 31 days |
| 40486 |
adomani author:adomani |
chore(CI): keep the previous Lean declarations diff visible while a new build runs |
Keep the previous Lean declarations diff visible (relabelled *stale*) while a new build runs, instead of resetting the PR-summary comment to *pending* on every push.
Companion: leanprover-community/mathlib-ci#56 · details in the **Reference** / **Explanation** / **How-to** comments below.
|
CI
LLM-generated
|
21/6 |
.github/workflows/PR_summary.yml,.github/workflows/decls-diff.yml |
2 |
16 |
['SnirBroshi', 'adomani', 'bryangingechen', 'github-actions', 'mathlib-bors'] |
nobody |
3-16832 3 days ago |
3-16832 3 days ago |
3-35988 3 days |
| 40899 |
mcdoll author:mcdoll |
feat(Data/FunLike): add `abbrev`s for pointwise multiplication |
We add `abbrev`s that provide easy access to instances that involve multiplication as a pointwise operation for `FunLike` classes. This is for example needed for `ZeroAtInftyContinuousMap`
Moreover, we
- move `NatCast` instance for `Pi` to new file `Data/Nat/Cast/Pi`
- rename `IsNatCastApply` to `IsNatCastApplyEqSMul` for the composition variant (same for `IntCast`)
- add `IsNatCast` for pointwise multiplication (same for `IntCast`)
- rename `abbrev` that apply to composition versions to `compSemiring` etc
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|
t-algebra label:t-algebra$ |
337/68 |
Mathlib.lean,Mathlib/Algebra/Ring/Pi.lean,Mathlib/Data/FunLike/GroupWithZero.lean,Mathlib/Data/FunLike/IsApply.lean,Mathlib/Data/FunLike/Ring.lean,Mathlib/Data/Nat/Cast/Basic.lean,Mathlib/Data/Nat/Cast/Pi.lean,Mathlib/Topology/Algebra/Module/ContinuousLinearMap/Basic.lean |
8 |
3 |
['eric-wieser', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
3-8240 3 days ago |
3-10577 3 days ago |
4-62306 4 days |
| 41018 |
wwylele author:wwylele |
feat(Analysis): lemma for fderiv of FormalMultilinearSeries.sum |
These are useful for rewriting in expressions that uses `FormalMultilinearSeries.sum`
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|
t-analysis |
13/0 |
Mathlib/Analysis/Calculus/FDeriv/Analytic.lean |
1 |
1 |
['github-actions'] |
nobody |
3-7925 3 days ago |
3-8774 3 days ago |
3-8425 3 days |
| 35956 |
Scarlett-le author:Scarlett-le |
feat: add orthogonality lemmas for inner product spacesonal |
## Summary
Adds two lemmas about orthogonality in inner product spaces.
## New declarations
- `real_inner_sub_smul_div_inner_self_eq_zero` (`Mathlib.Analysis.InnerProductSpace.Basic`): the inner product of `u - (⟪u, d⟫_ℝ / ⟪d, d⟫_ℝ) • d` with `d` is zero; subtracting the orthogonal projection of `u` onto `d` yields a vector orthogonal to `d`. Holds unconditionally including when `d = 0`.
- `mem_span_singleton_of_inner_eq_zero_of_inner_eq_zero` (`Mathlib.Analysis.InnerProductSpace.Projection.FiniteDimensional`): in a two-dimensional inner product space, if nonzero vectors `w` and `u` are both orthogonal to the same nonzero vector `v`, then `u` lies in the span of `w`. |
t-analysis |
20/0 |
Mathlib/Analysis/InnerProductSpace/Projection/FiniteDimensional.lean,Mathlib/LinearAlgebra/FiniteDimensional/Basic.lean |
2 |
18 |
['Scarlett-le', 'github-actions', 'j-loreaux', 'wwylele'] |
sgouezel assignee:sgouezel |
3-6519 3 days ago |
3-6519 3 days ago |
13-40479 13 days |
| 39991 |
Brian-Nugent author:Brian-Nugent |
chore(Topology): refactor TopologicalSpace.Opens.map to use OrderHom.toFunctor |
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|
t-topology
maintainer-merge
|
27/16 |
Mathlib/Geometry/RingedSpace/OpenImmersion.lean,Mathlib/Geometry/RingedSpace/PresheafedSpace/Gluing.lean,Mathlib/Topology/Category/TopCat/Opens.lean,Mathlib/Topology/Sheaves/Presheaf.lean |
4 |
5 |
['faenuccio', 'github-actions', 'j-loreaux', 'joelriou', 'leanprover-radar'] |
j-loreaux assignee:j-loreaux |
3-2500 3 days ago |
30-36743 30 days ago |
30-36394 30 days |
| 40948 |
Thmoas-Guan author:Thmoas-Guan |
feat(LinearAlgebra): exterior power commute with base change |
In this PR, we added the commute of exterior power and base change.
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|
t-algebra
LLM-generated
label:t-algebra$ |
231/0 |
Mathlib.lean,Mathlib/LinearAlgebra/ExteriorPower/BaseChange.lean |
2 |
1 |
['github-actions'] |
nobody |
2-84031 2 days ago |
4-58459 4 days ago |
4-58912 4 days |
| 40905 |
xroblot author:xroblot |
feat(FieldTheory): the compositum of two abelian extensions is abelian |
This adds:
* `AlgEquiv.ker_restrictNormalHom`: the kernel of the restriction homomorphism
`Gal(K₁/F) →* Gal(E/F)` is the fixing subgroup of the image of `E` in `K₁`.
* `IntermediateField.restrictNormalHomSupProd`: the embedding
`Gal(↑(K ⊔ L)/F) →* Gal(K/F) × Gal(L/F)`, `σ ↦ (σ|_K, σ|_L)`, for normal `K`, `L`.
* `IsAbelianGalois.sup`: the compositum of two abelian extensions is abelian.
:robot: This PR was extracted from the [SKW project](https://github.com/xroblot/SKW) by Claude. |
t-algebra label:t-algebra$ |
63/0 |
Mathlib/FieldTheory/Galois/Abelian.lean,Mathlib/FieldTheory/Galois/Basic.lean |
2 |
1 |
['github-actions'] |
nobody |
2-83159 2 days ago |
2-83159 2 days ago |
2-82836 2 days |
| 41005 |
scholzhannah author:scholzhannah |
feat: add delaborators for `ContMDiffWithinAt`, `ContMDiffAt`, `ContMDiffOn`, `ContMDiff` |
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t-differential-geometry
t-meta
|
160/12 |
Mathlib/Geometry/Manifold/Notation.lean,MathlibTest/DifferentialGeometry/Notation/Delaborators.lean,MathlibTest/DifferentialGeometry/Notation/Sphere.lean |
3 |
2 |
['github-actions', 'scholzhannah'] |
grunweg assignee:grunweg |
2-79438 2 days ago |
3-54074 3 days ago |
3-54295 3 days |
| 40261 |
grunweg author:grunweg |
fix(scripts/create_deprecated_modules): produce deprecated modules ob… |
…eying the module system
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CI |
7/2 |
scripts/create_deprecated_modules.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
2-78573 2 days ago |
12-79875 12 days ago |
22-31234 22 days |
| 40757 |
tb65536 author:tb65536 |
feat(RingTheory/Ideal/Pointwise): add `Ideal.inertia_smul` |
This PR adds `Ideal.inertia_smul` stating that inertia subgroups of conjugate ideals are conjugate.
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|
t-ring-theory
t-algebra
label:t-algebra$ |
15/5 |
Mathlib/RingTheory/Ideal/Defs.lean,Mathlib/RingTheory/Ideal/Pointwise.lean |
2 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
2-78297 2 days ago |
2-79972 2 days ago |
9-37165 9 days |
| 40526 |
CoolRmal author:CoolRmal |
feat: pointwise limit of a sequence of monotone functions is monotone |
Adds lemmas showing that the pointwise limit of a sequence of frequently monotone functions is monotone in an order-closed topology. It also adds the corresponding antitone variants via the order dual.
Created with a little bit help from codex :)
|
t-topology
maintainer-merge
|
38/9 |
Mathlib/Topology/Order/OrderClosed.lean |
1 |
5 |
['CoolRmal', 'github-actions', 'j-loreaux', 'scholzhannah'] |
scholzhannah assignee:scholzhannah |
2-76258 2 days ago |
2-78135 2 days ago |
16-16656 16 days |
| 40964 |
grunweg author:grunweg |
chore: explicitly specify free universes in `TopCat` and friends |
Avoid free universe variables, as discussed on Zulip: https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/.2338223.20The.20Category.20of.20C.5En.20Manifolds/near/587824522
Perhaps, we should have a linter for this, such as by
- extending the `pp_universes` attribute (TODO fix name) to take a list of universes, and only pretty-print those
- the linter checks for any universes which are annotated with this attribute: if a declaration has a universe metavariable corresponding to such a universe, we warn
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|
t-algebra label:t-algebra$ |
129/122 |
Mathlib/Algebra/Category/ContinuousCohomology/Basic.lean,Mathlib/Algebra/Category/ModuleCat/Topology/Basic.lean,Mathlib/Algebra/Category/ModuleCat/Topology/Homology.lean,Mathlib/AlgebraicGeometry/Scheme.lean,Mathlib/AlgebraicGeometry/Spec.lean,Mathlib/RepresentationTheory/Continuous/TopRep.lean,Mathlib/Topology/Specialization.lean,MathlibTest/CategoryTheory/ConcreteCategory/TopModuleCat.lean |
8 |
8 |
['github-actions', 'grunweg', 'leanprover-radar'] |
nobody |
2-74513 2 days ago |
4-29649 4 days ago |
4-41229 4 days |
| 39494 |
Hagb author:Hagb |
chore(Data/Finsupp/MonomialOrder): rename fields of `MonomialOrder` to match naming conventions |
Moves:
- MonomialOrder.acm -> MonomialOrder.addCommMonoid_syn
- MonomialOrder.lo -> MonomialOrder.linearOrder_syn
- MonomialOrder.iocam -> MonomialOrder.isOrderedCancelAddMonoid_syn
- MonomialOrder.wf -> MonomialOrder.wellFoundedLT_syn
---
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory
maintainer-merge
|
15/6 |
Mathlib/Data/Finsupp/MonomialOrder.lean,Mathlib/RingTheory/MvPolynomial/Groebner.lean |
2 |
3 |
['github-actions', 'mariainesdff'] |
mariainesdff assignee:mariainesdff |
2-74338 2 days ago |
42-11304 42 days ago |
42-11482 42 days |
| 38964 |
smmercuri author:smmercuri |
chore(Algebra): consolidate variables and sections for `AlgHom`/`AlgEquiv` |
This is a preparatory PR for the refactor of `AlgHom` to be semilinear (see #38376). This PR does not add or remove any results and only moves things around to reduce the diff for the future refactor. Namely, we do the following:
- Re-order variables in `AlgHom` and `AlgEquiv` so that `CommSemiring R` directly follows `R`. This is needed in the semialgebra definition.
- Move `comp` and `trans` API later in respective files so that the extra variables needed for those lemmas can be sectioned better.
- Similarly move some `congr` results in `Equiv.lean` to their own sections.
- Align variable names in `Equiv.lean` to match `Hom.lean`
---
- [ ] depends on: #38950
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|
404/374 |
Mathlib/Algebra/Algebra/Equiv.lean,Mathlib/Algebra/Algebra/Hom.lean,Mathlib/Algebra/Polynomial/AlgebraMap.lean,Mathlib/FieldTheory/Galois/Basic.lean,Mathlib/FieldTheory/Galois/Notation.lean,Mathlib/FieldTheory/Normal/Basic.lean,Mathlib/FieldTheory/SeparableDegree.lean,Mathlib/RingTheory/AlgebraTower.lean,Mathlib/RingTheory/Polynomial/Quotient.lean,Mathlib/RingTheory/Smooth/IntegralClosure.lean,MathlibTest/GalNotation.lean |
11 |
8 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
2-72432 2 days ago |
2-75095 2 days ago |
3-18765 3 days |
| 41027 |
grunweg author:grunweg |
feat: sections of a fiber bundle with `Subsingleton` fiber are smooth and differentiable |
This will be used to prove that the Levi-Civita connection is smooth.
From the path towards the Levi-Civita connection and Riemannian geometry.
---
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|
t-differential-geometry |
55/0 |
Mathlib/Geometry/Manifold/VectorBundle/Basic.lean,Mathlib/Geometry/Manifold/VectorBundle/MDifferentiable.lean |
2 |
1 |
['github-actions'] |
nobody |
2-72198 2 days ago |
2-73348 2 days ago |
2-72999 2 days |
| 41015 |
JovanGerb author:JovanGerb |
chore(CategoryTheory/Functor/EpiMono): use `to_dual` |
This PR uses `to_dual` to translate some declarations about `Epimorphisms` and `Monomorphisms`. Various prerequisites have also been tagged in this PR.
The namespace of some lemmas has been fixed that should have been capitalized.
A few lemmas about `Epimorphisms` didn't have a corresponding `Monomorphisms` version, so they have been added in this PR.
---
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|
139/226 |
Mathlib/CategoryTheory/Adjunction/Basic.lean,Mathlib/CategoryTheory/EpiMono.lean,Mathlib/CategoryTheory/Functor/EpiMono.lean,Mathlib/CategoryTheory/Functor/FullyFaithful.lean,Mathlib/CategoryTheory/LiftingProperties/Adjunction.lean,Mathlib/CategoryTheory/Preadditive/Injective/Basic.lean,Mathlib/CategoryTheory/Preadditive/Projective/Internal.lean,Mathlib/Tactic/Translate/ToDual.lean |
8 |
1 |
['github-actions'] |
nobody |
2-69463 2 days ago |
3-13969 3 days ago |
3-15993 3 days |
| 37934 |
Thmoas-Guan author:Thmoas-Guan |
feat(FieldTheory): definition of transcendental separable field extension |
In this PR, we introduce the concept of separably generated field extension and transcendental separable field extension.
Further properties will be in #37838
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|
t-algebra label:t-algebra$ |
102/0 |
Mathlib.lean,Mathlib/FieldTheory/TranscendentalSeparable.lean |
2 |
14 |
['Thmoas-Guan', 'github-actions', 'robin-carlier'] |
joelriou assignee:joelriou |
2-67503 2 days ago |
48-57663 48 days ago |
56-75491 56 days |
| 41026 |
Thmoas-Guan author:Thmoas-Guan |
feat(LinearAlgebra): exterior algebra of product module |
In this PR, we proved the exterior algebra of product module is isomorphic to graded tensor product of the two exterior algebras.
---
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|
t-algebra label:t-algebra$ |
148/0 |
Mathlib.lean,Mathlib/LinearAlgebra/ExteriorAlgebra/Basic.lean,Mathlib/LinearAlgebra/ExteriorAlgebra/Product.lean |
3 |
3 |
['eric-wieser', 'github-actions'] |
nobody |
2-67442 2 days ago |
2-73442 2 days ago |
2-73093 2 days |
| 25473 |
adomani author:adomani |
feat(CI): check that Mathlib files have lean or md extension |
Twice recently there have been files with an "intended" `.lean` extension in `Mathlib/`:
* #24942, ending in `;lean`;
* #25457, ending in `.Lean`.
`mk_all` does not add these files to `Mathlib.lean`, since they do not end in `.lean` and this later causes problems.
This CI step checks that all files in `Mathlib/` end with `.lean` or `.md`.
See #25474 for a test where the new step [correctly fails](https://github.com/leanprover-community/mathlib4/actions/runs/15464097783/job/43532018379?pr=25474).
---
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|
CI
maintainer-merge
|
10/0 |
.github/workflows/lint_and_suggest_pr.yml |
1 |
16 |
['adomani', 'bryangingechen', 'github-actions', 'grunweg', 'joneugster', 'mathlib-bors'] |
joneugster assignee:joneugster |
2-66402 2 days ago |
4-5728 4 days ago |
4-16116 4 days |
| 41020 |
RemyDegenne author:RemyDegenne |
chore(downstream_repos): add Lean Machine Learning |
This PR adds the Lean Machine Learning repository to downstream_repos.yml (hence to the page https://leanprover-community.github.io/lean_projects.html).
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|
CI
maintainer-merge
documentation
|
9/0 |
scripts/downstream_repos.yml |
1 |
3 |
['github-actions', 'joneugster'] |
joneugster assignee:joneugster |
2-65908 2 days ago |
2-83112 2 days ago |
2-82763 2 days |
| 40826 |
felixpernegger author:felixpernegger |
feat(ci): autolabel PRs with "Generated with Claude Code" |
When one tells Claude code to open a PR, it will usually end the description with "🤖 Generated with [Claude Code](https://claude.com/claude-code)" (Im sure almost everyone will have seen this at this point).
This PR adds an action that will autolabel PRs with that ending as "LLM-generated", which might save a bit of time.
[List of all such PRs to mathlib](https://github.com/leanprover-community/mathlib4/pulls?q=is%3Apr+%F0%9F%A4%96+Generated+with+Claude+Code+)
(Ironically enough, I made this PR with Codex...)
---
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|
CI
LLM-generated
|
44/0 |
.github/workflows/label_llm_generated.yml,docs/workflows.md |
2 |
5 |
['SnirBroshi', 'felixpernegger', 'github-actions', 'joneugster'] |
nobody |
2-65021 2 days ago |
8-35693 8 days ago |
8-35689 8 days |
| 39075 |
Thmoas-Guan author:Thmoas-Guan |
feat(Algebra/CommRingCat): colimit of local ring via local hom |
In this PR, we deal with filtered colimit of local ring via local homomorphisms, proving it is
again local, with maximal ideal equal to the union of images of maximal ideals.
Further more, we proved their residue field is colimit too (in category of local ring, residue field functor preserve colimit).
Co-authored-by: Wang Jingting <wangjt2020@163.com>
---
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|
t-algebra label:t-algebra$ |
210/0 |
Mathlib.lean,Mathlib/Algebra/Category/Ring/FilteredColimitsLocal.lean |
2 |
3 |
['Thmoas-Guan', 'github-actions', 'riccardobrasca'] |
riccardobrasca assignee:riccardobrasca |
2-63709 2 days ago |
25-76086 25 days ago |
50-63440 50 days |
| 39123 |
SnirBroshi author:SnirBroshi |
chore(Data/Matrix/Basic): mention `mopMatrix` in `transpose{Ring/Alg}Equiv`s docstring and vice versa |
- `RingEquiv.mopMatrix` and `transposeRingEquiv` differ by a `ᵐᵒᵖ` since the latter assumes `CommMagma α` instead of `Mul α`
- `AlgEquiv.mopMatrix` and `transposeAlgEquiv` differ by a `ᵐᵒᵖ` since the latter assumes `CommSemiring α` instead of `Semiring α`
---
Also slightly golfs `RingEquiv.mopMatrix` as a drive-by.
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|
t-data
maintainer-merge
|
28/12 |
Mathlib/Data/Matrix/Basic.lean,Mathlib/LinearAlgebra/Matrix/Defs.lean |
2 |
6 |
['SnirBroshi', 'github-actions', 'themathqueen'] |
eric-wieser assignee:eric-wieser |
2-63668 2 days ago |
49-42466 49 days ago |
49-42117 49 days |
| 40737 |
ymonbru author:ymonbru |
feat: add the set of compacts nhds of a compact and flavor of it towards the definition of K-sheaf |
this file adds the definition of the set of compacts nhds of a compact, the open nhds of a compact, the open relatively compact nhds of a compact and the compacts inside an open subset. It also adds API related with these sets and the way they interact. In particular there is API related to the induced (as preorder) categories.
I neede the dual version of Monotone.final_functor_iff, Joel Riou told me to duplicate the code for now (as the same tactic sequence can prove the dual version) until the automation can deal with that.
All these definitions are prerequisite to the definition of K-Sheaves and their link with Sheaves, this will follow in an other PR
---
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|
new-contributor
t-topology
t-category-theory
|
195/0 |
Mathlib.lean,Mathlib/CategoryTheory/Filtered/Final.lean,Mathlib/Topology/Sets/BaseChangeNhds.lean,Mathlib/Topology/Sets/Compacts.lean |
4 |
3 |
['dagurtomas', 'github-actions'] |
dagurtomas assignee:dagurtomas |
2-63353 2 days ago |
2-66431 2 days ago |
4-71309 4 days |
| 40397 |
grunweg author:grunweg |
chore(MathlibTest): move test files for linters into the Linter subdirectory |
This means we can use the auto-labelling mechanism to also suggest appropriate labels for these files.
---
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|
file-removed
maintainer-merge
|
11/11 |
Mathlib/Tactic/Linter/Header.lean,MathlibTest/Linter/DoubleUnderscore.lean,MathlibTest/Linter/DupNamespace.lean,MathlibTest/Linter/GlobalAttributeIn.lean,MathlibTest/Linter/HashCommand.lean,MathlibTest/Linter/HaveLet.lean,MathlibTest/Linter/Header/Basic.lean,MathlibTest/Linter/Header/Fail.lean,MathlibTest/Linter/Header/Verso.lean,MathlibTest/Linter/LongFile.lean,MathlibTest/Linter/Multigoal.lean,MathlibTest/Linter/UnusedTactic.lean,MathlibTest/Linter/Whitespace.lean |
13 |
5 |
['github-actions', 'joneugster', 'mathlib-merge-conflicts'] |
joneugster assignee:joneugster |
2-62988 2 days ago |
2-67135 2 days ago |
11-30022 11 days |
| 36442 |
SnirBroshi author:SnirBroshi |
feat(Data/Sym/Sym2/Card): cardinality theorems about `Sym2 α` |
---
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|
t-data |
112/0 |
Mathlib.lean,Mathlib/Data/Set/Image.lean,Mathlib/Data/Sym/Sym2.lean,Mathlib/Data/Sym/Sym2/Card.lean |
4 |
27 |
['SnirBroshi', 'eric-wieser', 'github-actions', 'joneugster', 'themathqueen'] |
eric-wieser assignee:eric-wieser |
2-61883 2 days ago |
4-16739 4 days ago |
42-29689 42 days |
| 39634 |
SnirBroshi author:SnirBroshi |
feat(LinearAlgebra/Matrix/Nondegenerate): more API and generalize to non-domains |
- Syntactically generalize the bilinear form identities to non-square matrices
- Prove iff and transpose theorems for `SeparatingLeft`/`SeparatingRight`/`Nondegenerate`
- Prove `M *ᵥ v = 0 → v = 0` and `v ᵥ* M = 0 → v = 0` given `Nondegenerate`
(extracted from the existing `eq_zero_of_*_eq_zero`)
- Generalize `M.det ≠ 0 → M.Nondegenerate` to `M.det ∈ R⁰ → M.Nondegenerate` (over any `CommRing`)
- Add `M *ᵥ v = 0 → v = 0` and `v ᵥ* M = 0 → v = 0` theorems given `M.det ∈ R⁰`
- Allow `NonUnitalNonAssocSemiring`s in the `def`s
---
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|
t-algebra label:t-algebra$ |
140/65 |
Mathlib/Data/Matrix/Mul.lean,Mathlib/LinearAlgebra/Matrix/Nondegenerate.lean,Mathlib/LinearAlgebra/Matrix/ToLinearEquiv.lean |
3 |
23 |
['SnirBroshi', 'github-actions', 'themathqueen'] |
joelriou assignee:joelriou |
2-61805 2 days ago |
2-65624 2 days ago |
22-73939 22 days |
| 41030 |
tb65536 author:tb65536 |
refactor(GroupTheory/Commensurable): add and generalize API |
This PR makes the following changes to `GroupTheory/Commensurable.lean`:
- Use `IsFiniteRelIndex` instead of `relIndex ≠ 0` to allow use of `IsFiniteRelIndex` API.
- Add API lemmas for `bot`, `top`, `inf`, `map`, `comap`, and `smul`.
- Deprecate the existing conjugation API lemmas as superseded by the new `smul` API lemmas.
- Define `commensurator` directly via `MulAut.conj` rather than going through `ConjAct`.
- Deprecate the auxiliary `commensurator'`.
---
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|
t-algebra
t-group-theory
label:t-algebra$ |
130/55 |
Mathlib/GroupTheory/Commensurable.lean,Mathlib/GroupTheory/Index.lean,Mathlib/NumberTheory/ModularForms/ArithmeticSubgroups.lean,Mathlib/NumberTheory/ModularForms/CongruenceSubgroups.lean,Mathlib/NumberTheory/ModularForms/Cusps.lean,Mathlib/Topology/Algebra/Group/DiscontinuousSubgroup.lean,Mathlib/Topology/Algebra/IsUniformGroup/DiscreteSubgroup.lean |
7 |
1 |
['github-actions'] |
nobody |
2-61242 2 days ago |
2-61289 2 days ago |
2-60940 2 days |
| 39635 |
SnirBroshi author:SnirBroshi |
feat(LinearAlgebra/Eigenspace/Matrix): a scalar is in the spectrum iff it's an eigenvalue |
---
[#Is there code for X? > Matrix eigenvalues: spectrum and mulVec](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Matrix.20eigenvalues.3A.20spectrum.20and.20mulVec/with/596538140)
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|
t-algebra label:t-algebra$ |
18/0 |
Mathlib/LinearAlgebra/Eigenspace/Matrix.lean |
1 |
2 |
['github-actions', 'themathqueen'] |
themathqueen assignee:themathqueen |
2-60471 2 days ago |
38-18780 38 days ago |
38-18431 38 days |
| 41038 |
ADedecker author:ADedecker |
feat: characterize when projections are almost 0 or almost id |
in the sense of `LinearMap.FiniteRangeSetoid`.
---
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|
t-algebra label:t-algebra$ |
27/0 |
Mathlib/Algebra/Module/LinearMap/FiniteRange.lean,Mathlib/Data/Setoid/Basic.lean |
2 |
1 |
['github-actions'] |
nobody |
2-59579 2 days ago |
2-63616 2 days ago |
2-63267 2 days |
| 40597 |
xroblot author:xroblot |
feat(GroupTheory/SpecificGroups/Cyclic): add IsCyclic.subgroup_le/eq_subgroup_iff |
Add the following results about subgroup comparison in finite cyclic groups.
In `Mathlib.Algebra.Group.Subgroup.ZPowers.Lemmas`:
- `Int.zmultiples_sup_zmultiples`: `zmultiples a ⊔ zmultiples b = zmultiples (a.gcd b)`
- `Int.zmultiples_le_zmultiples_iff`: `zmultiples a ≤ zmultiples b ↔ b ∣ a`
In `Mathlib.GroupTheory.SpecificGroups.Cyclic`:
- `AddSubgroup.zmultiples_le_zmultiples_iff`: `zmultiples (i • g) ≤ zmultiples (j • g) ↔ j.gcd (addOrderOf g) ∣ i.gcd (addOrderOf g)`
- `Subgroup.zpowers_le_zpowers_iff`: multiplicative version
- `Subgroup.zpowers_eq_zpowers_iff'`: `zpowers (g ^ i) = zpowers (g ^ j) ↔ i.gcd (orderOf g) = j.gcd (orderOf g)`
- `IsCyclic.subgroup_le_subgroup_iff`: in a finite cyclic group, `H ≤ K ↔ Nat.card H ∣ Nat.card K`
- `IsCyclic.subgroup_eq_subgroup_iff`: in a finite cyclic group, `H = K ↔ Nat.card H = Nat.card K`
:robot: This PR was extracted from the [SKW project](https://github.com/xroblot/SKW) by Claude. |
t-group-theory |
96/0 |
Mathlib/Algebra/Group/Subgroup/Ker.lean,Mathlib/Algebra/Group/Subgroup/ZPowers/Lemmas.lean,Mathlib/Data/Nat/GCD/Basic.lean,Mathlib/GroupTheory/OrderOfElement.lean,Mathlib/GroupTheory/SpecificGroups/Cyclic.lean |
5 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
mattrobball assignee:mattrobball |
2-57919 2 days ago |
2-60313 2 days ago |
8-15384 8 days |
| 40365 |
JovanGerb author:JovanGerb |
feat(Translate): validate all translations |
Make `to_dual`/`to_additive` validate all translations that are added. In particular, translations between fields of structures, and between lemmas generated by `simps`, are now validated. This will help catch translation problems.
In the file `Limits.Cones`, the same issue with `simps` keeps arising due to how `CategoryTheory.Iso` interacts with `to_dual`. Ideally this could be fixed at the meta level to avoid these awkward workarounds.
This PR also removes a heuristic in the name guessing algorithm for re-tagging declarations that were already tagged. After this PR, there won't be any reason anymore to re-tag declarations, so this heuristic can be removed. Additionally, the `translateOverwrite` linter is strengthened so that it always warns when overwriting an existing translation.
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t-meta |
260/145 |
Mathlib/Algebra/Category/MonCat/Basic.lean,Mathlib/Algebra/Notation/Defs.lean,Mathlib/CategoryTheory/Adjunction/Basic.lean,Mathlib/CategoryTheory/CommSq.lean,Mathlib/CategoryTheory/Comma/Basic.lean,Mathlib/CategoryTheory/EpiMono.lean,Mathlib/CategoryTheory/Iso.lean,Mathlib/CategoryTheory/LiftingProperties/Basic.lean,Mathlib/CategoryTheory/Limits/Cones.lean,Mathlib/CategoryTheory/Limits/IsLimit.lean,Mathlib/CategoryTheory/Limits/Shapes/Grothendieck.lean,Mathlib/CategoryTheory/Limits/Shapes/StrongEpi.lean,Mathlib/CategoryTheory/Limits/VanKampen.lean,Mathlib/CategoryTheory/Monoidal/Grp.lean,Mathlib/CategoryTheory/Monoidal/Mod.lean,Mathlib/CategoryTheory/Monoidal/Mon.lean,Mathlib/CategoryTheory/NatIso.lean,Mathlib/CategoryTheory/NatTrans.lean,Mathlib/CategoryTheory/Retract.lean,Mathlib/GroupTheory/FreeGroup/Basic.lean,Mathlib/GroupTheory/MonoidLocalization/Basic.lean,Mathlib/Order/CompleteBooleanAlgebra.lean,Mathlib/Order/Heyting/Basic.lean,Mathlib/Order/Hom/Basic.lean,Mathlib/Order/Hom/CompleteLattice.lean,Mathlib/Order/Hom/WithTopBot.lean,Mathlib/Order/Lattice.lean,Mathlib/Order/SuccPred/Archimedean.lean,Mathlib/Order/SuccPred/Basic.lean,Mathlib/Order/SuccPred/Limit.lean,Mathlib/Order/UpperLower/CompleteLattice.lean,Mathlib/Tactic/ToAdditive.lean,Mathlib/Tactic/ToDual.lean,Mathlib/Tactic/Translate/Core.lean,MathlibTest/Attribute/ToAdditive/Basic.lean,MathlibTest/Attribute/ToDual.lean |
36 |
11 |
['JovanGerb', 'github-actions', 'kim-em'] |
kim-em assignee:kim-em |
2-57795 2 days ago |
3-14927 3 days ago |
17-63808 17 days |
| 40493 |
JovanGerb author:JovanGerb |
fix(Translate): fix universe reorder inference |
This PR fixes the way `to_dual` determines the universe reordering. Previously, the universe reordering was inferred using a heuristic. But, this heuristic fails on `Adjunction.comp`, because there we are reordering two arguments whose types themselves reorder their universes.
This PR removes the heuristic, and instead uses unification to figure out the universe reordering (in the case of `to_dual self`/`to_dual existing`. When generating a new declaration, universes are now never reordered.
I verified locally that `Adjunction.comp` can now be tagged with `to_dual`.
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t-meta
maintainer-merge
|
41/61 |
Mathlib/Tactic/Translate/Core.lean,Mathlib/Tactic/Translate/Reorder.lean,MathlibTest/Attribute/ToAdditive/Basic.lean,MathlibTest/Attribute/ToDual.lean |
4 |
3 |
['github-actions', 'joneugster'] |
joneugster assignee:joneugster |
2-55879 2 days ago |
16-77520 16 days ago |
16-80372 16 days |
| 40740 |
JovanGerb author:JovanGerb |
fix(Tactic/Convert): support over-applications again |
This PR fixes a regression introduced in #38071, namely that the congruence algorithm of `convert` now does not anymore support over-applications.
I added a test to show this.
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t-meta
maintainer-merge
|
8/2 |
Mathlib/Tactic/CongrExclamation.lean,Mathlib/Tactic/Convert.lean,MathlibTest/Tactic/Convert/Basic.lean |
3 |
3 |
['github-actions', 'joneugster'] |
joneugster assignee:joneugster |
2-55301 2 days ago |
8-76454 8 days ago |
9-62626 9 days |
| 38185 |
Jun2M author:Jun2M |
feat(Order/Partition): operations over Frame |
This PR introduces:
* `Partition.induce`: The induce of a partition by a frame element.
* `Partition.disjUnion`: The disjoint union of two partitions.
* `Partition.bind`: The finer partition obtained by family of partitions for each part of the original partition.
Co-authored-by: Peter Nelson <apn.uni@gmail.com>
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|
t-order |
89/11 |
Mathlib/Order/Partition/Basic.lean,Mathlib/Order/SupIndep.lean |
2 |
1 |
['github-actions'] |
bryangingechen assignee:bryangingechen |
2-53092 2 days ago |
71-34531 71 days ago |
71-34182 71 days |
| 38018 |
matthewjasper author:matthewjasper |
feat(Algebra): expand Subalgebra.restrictScalars API |
Add an instance for the original algebra structure, the implied scalar tower instances, and the algebra equivalence with the original subalgebra. Use this to remove some `set_option backward.isDefEq.respectTransparency`.
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t-ring-theory |
61/15 |
Mathlib/Algebra/Algebra/Subalgebra/Tower.lean,Mathlib/RingTheory/AlgebraicIndependent/TranscendenceBasis.lean,Mathlib/RingTheory/Finiteness/Basic.lean,Mathlib/RingTheory/IntegralClosure/IsIntegralClosure/Basic.lean |
4 |
14 |
['eric-wieser', 'github-actions', 'kbuzzard', 'leanprover-radar', 'mariainesdff', 'mathlib-merge-conflicts', 'matthewjasper'] |
mariainesdff assignee:mariainesdff |
2-48354 2 days ago |
2-48429 2 days ago |
57-83342 57 days |
| 38002 |
Raph-DG author:Raph-DG |
feat(Topology): Relating irreducible components of a space to codimension one points in non dense subsets |
In this PR we show that the coheight zero points of a sober space (in the specialization order) correspond to the irreducible components. Furthermore, we show that the coheight one points of any non dense subset p of X (in the specialization order on p) have coheight zero in the specialization order on X.
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large-import
t-topology
|
112/0 |
Mathlib/Order/Hom/Basic.lean,Mathlib/Order/KrullDimension.lean,Mathlib/Order/Minimal.lean,Mathlib/Topology/Inseparable.lean,Mathlib/Topology/KrullDimension.lean,Mathlib/Topology/Sober.lean |
6 |
7 |
['ADedecker', 'Raph-DG', 'dagurtomas', 'github-actions', 'mathlib-merge-conflicts'] |
mcdoll assignee:mcdoll |
2-48086 2 days ago |
2-51055 2 days ago |
70-47601 70 days |
| 41022 |
CoolRmal author:CoolRmal |
feat(Data/List): add TFAE lemmas for append and permutations |
This PR adds some `TFAE` lemmas in `Mathlib/Data/List/TFAE`: a sublist monotonicity lemma, an append criterion, and congruence under list permutations.
It also rewrites `tfae_cons_of_mem` as a specialization of the append lemma.
Created with the help of codex.
|
t-data |
28/10 |
Mathlib/Data/List/TFAE.lean |
1 |
3 |
['github-actions', 'themathqueen'] |
nobody |
2-45289 2 days ago |
2-78056 2 days ago |
2-77803 2 days |
| 40865 |
TJHeeringa author:TJHeeringa |
refactor(Algebra/Module/Equiv): update name and refactor API ofLinearEquiv |
Change the name of `LinearEquiv.ofLinear` to `LinearEquiv.ofLinearMap` and change the API. This replaces `_apply` by `coe_`, introduces `_symm`, which makes `_symm_apply` and `_symm_toLinearMap` redundant, and changes `_toLinearMap` to `toLinearMap_`.
---
This PR is as discussed in https://github.com/leanprover-community/mathlib4/pull/40841#discussion_r3448504317 and https://github.com/leanprover-community/mathlib4/pull/40841#issuecomment-4762175719.
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t-algebra label:t-algebra$ |
117/97 |
Mathlib/Algebra/Category/ModuleCat/Basic.lean,Mathlib/Algebra/Category/ModuleCat/Semi.lean,Mathlib/Algebra/Colimit/Module.lean,Mathlib/Algebra/Module/CharacterModule.lean,Mathlib/Algebra/Module/Equiv/Basic.lean,Mathlib/Algebra/Module/Presentation/Basic.lean,Mathlib/Algebra/Star/Module.lean,Mathlib/Analysis/Normed/Operator/LinearIsometry.lean,Mathlib/LinearAlgebra/Contraction.lean,Mathlib/LinearAlgebra/DirectSum/TensorProduct.lean,Mathlib/LinearAlgebra/Dual/Lemmas.lean,Mathlib/LinearAlgebra/ExteriorPower/Basic.lean,Mathlib/LinearAlgebra/Finsupp/LinearCombination.lean,Mathlib/LinearAlgebra/Matrix/SpecialLinearGroup.lean,Mathlib/LinearAlgebra/Multilinear/DFinsupp.lean,Mathlib/LinearAlgebra/Pi.lean,Mathlib/LinearAlgebra/PiTensorProduct/Basic.lean,Mathlib/LinearAlgebra/PiTensorProduct/DFinsupp.lean,Mathlib/LinearAlgebra/PiTensorProduct/Dual.lean,Mathlib/LinearAlgebra/Projection.lean,Mathlib/LinearAlgebra/Quotient/Basic.lean,Mathlib/LinearAlgebra/TensorProduct/Associator.lean,Mathlib/LinearAlgebra/TensorProduct/Basic.lean,Mathlib/LinearAlgebra/TensorProduct/DirectLimit.lean,Mathlib/LinearAlgebra/TensorProduct/Graded/External.lean,Mathlib/LinearAlgebra/TensorProduct/Map.lean,Mathlib/LinearAlgebra/TensorProduct/Pi.lean,Mathlib/LinearAlgebra/TensorProduct/Prod.lean,Mathlib/LinearAlgebra/TensorProduct/Quotient.lean,Mathlib/LinearAlgebra/TensorProduct/Subalgebra.lean,Mathlib/LinearAlgebra/TensorProduct/Submodule.lean,Mathlib/LinearAlgebra/TensorProduct/Tower.lean,Mathlib/LinearAlgebra/Trace.lean,Mathlib/RepresentationTheory/Coinvariants.lean,Mathlib/RepresentationTheory/FiniteIndex.lean,Mathlib/RepresentationTheory/Homological/GroupHomology/LowDegree.lean,Mathlib/RingTheory/AdicCompletion/AsTensorProduct.lean,Mathlib/RingTheory/AdicCompletion/Functoriality.lean,Mathlib/RingTheory/Coalgebra/Equiv.lean,Mathlib/RingTheory/Extension/Cotangent/Basis.lean,Mathlib/RingTheory/Flat/Equalizer.lean,Mathlib/RingTheory/IsTensorProduct.lean,Mathlib/RingTheory/Localization/Module.lean,Mathlib/RingTheory/MatrixAlgebra.lean,Mathlib/RingTheory/PicardGroup.lean |
45 |
14 |
['TJHeeringa', 'github-actions', 'mathlib-bors', 'themathqueen'] |
nobody |
2-43666 2 days ago |
3-84135 3 days ago |
5-4222 5 days |
| 38114 |
javgomzar author:javgomzar |
feat(FinitelyPresentedGroup): add finite groups instance |
Add IsFinitelyPresented instance for finite groups.
Co-authored-by: Hang Lu Su <homeowmorphism@pm.me>, Thomas Browning <thomas.l.browning@gmail.com>
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|
t-group-theory
new-contributor
large-import
|
54/23 |
Mathlib/GroupTheory/FinitelyPresentedGroup.lean,Mathlib/GroupTheory/FreeGroup/Basic.lean,Mathlib/GroupTheory/Schreier.lean |
3 |
51 |
['github-actions', 'homeowmorphism', 'javgomzar', 'kbuzzard', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'plp127', 'riccardobrasca', 'tb65536', 'vihdzp'] |
riccardobrasca assignee:riccardobrasca |
2-43433 2 days ago |
5-45555 5 days ago |
61-2700 61 days |
| 40701 |
jcommelin author:jcommelin |
feat(scripts): export wikidata/stacks/kerodon cross-references as JSON |
This PR adds `scripts/export_crossrefs.lean`, which exports every declaration tagged with `@[wikidata]`, `@[stacks]`, or `@[kerodon]` (name, file, line, ids) as JSON, and a CI workflow that runs it after each successful master build and publishes the result to a versioned cross-reference repository.
---
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CI
LLM-generated
|
236/5 |
.github/workflows/build_template.yml,.github/workflows/export_crossrefs.yml,.gitignore,Mathlib/Tactic/CrossRefAttribute.lean,docs/workflows.md,scripts/README.md,scripts/export_crossrefs.lean |
7 |
41 |
['bryangingechen', 'github-actions', 'jcommelin', 'marcelolynch', 'thorimur'] |
nobody |
2-38399 2 days ago |
4-14227 4 days ago |
4-51260 4 days |
| 41045 |
scholzhannah author:scholzhannah |
feat: generalize `Topology/OpenPartialHomeomorph/Basic` to `PartialHomeomorph` |
This is a continuation of #39084.
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|
293/33 |
Mathlib.lean,Mathlib/Logic/Equiv/PartialEquiv.lean,Mathlib/Topology/Constructions.lean,Mathlib/Topology/OpenPartialHomeomorph/Basic.lean,Mathlib/Topology/PartialHomeomorph/Basic.lean |
5 |
1 |
['github-actions'] |
grunweg assignee:grunweg |
2-37093 2 days ago |
2-53258 2 days ago |
2-54226 2 days |
| 41023 |
grunweg author:grunweg |
chore: add `.git-blame-ignore-revs` file |
These revisions are ignored when doing git blame, providing more helpful output.
We populate it with the commits corresponding to
- #31786 (move to the module system),
- #13166 and #13059 (replacing `refine'` by `refine`).
This list is not exhaustive; further commits can be added later.
---
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|
CI |
6/0 |
.git-blame-ignore-revs |
1 |
5 |
['SnirBroshi', 'github-actions', 'grunweg', 'joneugster'] |
joneugster assignee:joneugster |
2-37063 2 days ago |
2-37063 2 days ago |
2-48746 2 days |
| 40593 |
grunweg author:grunweg |
chore(MathlibTest): fix defLemma warnings |
In all these cases, a dummy definition was declared of type True. This triggered the `defLemma` linter (and will trigger the `defProp` linter in Lean core). Fix the warnings by using the natural number 0 instead.
---
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|
tech debt |
6/6 |
MathlibTest/Lint.lean,MathlibTest/Linter/DocPrime.lean,MathlibTest/Tactic/Says/Basic.lean |
3 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
2-36797 2 days ago |
2-37268 2 days ago |
8-2861 8 days |
| 41052 |
hawkrobe author:hawkrobe |
refactor(RingTheory/HopfAlgebra): relocate `ofSurjective` |
---
Cleanup after #39790, moves `HopfAlgebra.ofSurjective` to `HopfAlgebra/Convolution.lean` and extracts the convolution functoriality.
[](https://gitpod.io/from-referrer/)
|
t-ring-theory
new-contributor
|
75/51 |
Mathlib/RingTheory/Bialgebra/Convolution.lean,Mathlib/RingTheory/Coalgebra/Convolution.lean,Mathlib/RingTheory/HopfAlgebra/Convolution.lean,Mathlib/RingTheory/HopfAlgebra/Quotient.lean |
4 |
2 |
['github-actions'] |
nobody |
2-36672 2 days ago |
2-37189 2 days ago |
2-36840 2 days |
| 41042 |
Raph-DG author:Raph-DG |
feat(Topology/CategoryTheory): the skyscraper sheaf as a sheaf of modules |
In this PR we define the skyscraper sheaf as a sheaf of modules
---
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|
t-algebra label:t-algebra$ |
244/0 |
Mathlib.lean,Mathlib/Algebra/Category/ModuleCat/Skyscraper.lean |
2 |
2 |
['attilavjda', 'github-actions'] |
nobody |
2-36320 2 days ago |
2-56506 2 days ago |
2-56638 2 days |
| 36845 |
grunweg author:grunweg |
feat: the Levi-Civita connection on a manifold |
Define the Levi-Civita connection on a (finite-dimensional) Riemannian manifold `(M, g)`.
A connection `∇` on the tangent bundle of `TM` is called a Levi-Civita connection if it is both compatible with the metric `g` and torsion-free. Any two such connections are equal (on differentiable vector fields), which is why one speaks of *the* Levi-Civita connection on `TM`. We construct a Levi-Civita connection and prove that is defines a compatible torsion-free connection.
- Our implementation uses a tensoriality argument and the musical isomorphism --- avoiding the use of local frames and trivialisations.
- We enable `fun_prop` for `MDifferentiable(At)` just in this file: this will be properly implemented in the future.
- Future PRs will prove that if `M` is `C^{k+2}` and `g` is `C^{n+1}`, the Levi-Civita connection is a `C^n` connection.
Co-authored-by: Heather Macbeth [25316162+hrmacbeth@users.noreply.github.com](mailto:25316162+hrmacbeth@users.noreply.github.com)
Co-authored-by: Patrick Massot [patrickmassot@free.fr](mailto:patrickmassot@free.fr)
---
- [x] depends on: #36299
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|
t-differential-geometry |
425/5 |
Mathlib.lean,Mathlib/Geometry/Manifold/ContMDiffMFDeriv.lean,Mathlib/Geometry/Manifold/VectorBundle/CovariantDerivative/LeviCivita.lean,Mathlib/Geometry/Manifold/VectorBundle/MDifferentiable.lean,Mathlib/Topology/VectorBundle/Basic.lean |
5 |
4 |
['github-actions', 'grunweg', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
PatrickMassot assignee:PatrickMassot |
2-35681 2 days ago |
4-74000 4 days ago |
4-84065 4 days |
| 41056 |
tb65536 author:tb65536 |
chore(Algebra/Polynomial/Splits): remove field hypothesis from `map_aroots_algebraMap` |
Currently `Polynomial.Splits.map_aroots_algebraMap` assumes that `A` is a field. But actually it is enough to assume that the map from `A` to `B` is injective. This PR also adds a `rootSet` version `Polynomial.Splits.image_rootSet_algebraMap`.
---
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|
t-ring-theory
t-algebra
label:t-algebra$ |
17/5 |
Mathlib/Algebra/Polynomial/Splits.lean |
1 |
1 |
['github-actions'] |
nobody |
2-33613 2 days ago |
2-33658 2 days ago |
2-33311 2 days |
| 40151 |
TJHeeringa author:TJHeeringa |
feat(Analysis/Normed): Add isLinearMap_extension |
---
`Uniform.Completion.extension` maps a map $f:\alpha\to\beta$ to $f:\text{Completion }\alpha \to \beta$. There are theorems that show that this operations preserves continuous, uniformly, continuous and LipschitzWith, but not linearity. This adds that theorem.
Asked at [#Is there code for X? > Theorem for Completion.extension preserving linearity](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Theorem.20for.20Completion.2Eextension.20preserving.20linearity/with/599463628) whether it exists. No response given.
I placed it in other parts about extensions, but I needed to add an (flagged as costly) import for making this work. Hence, I am not sure I added it in the right spot.
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|
t-analysis |
34/0 |
Mathlib/Analysis/Normed/Module/Completion.lean |
1 |
12 |
['TJHeeringa', 'github-actions', 'j-loreaux'] |
sgouezel assignee:sgouezel |
2-33354 2 days ago |
2-33354 2 days ago |
17-50419 17 days |
| 40841 |
TJHeeringa author:TJHeeringa |
feat(Topology/Algebra): add ContinuousLinearEquiv.ofContinuousLinearMap |
Add ContinuousLinearEquiv.ofContinuousLinearMap, which states that any continuous linear map with a continuous linear inverse is a continuous linear equiv.
---
Prerequisite for the `TensorProduct.congrL` requested in https://github.com/leanprover-community/mathlib4/pull/40074#issuecomment-4650716234.
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|
t-topology |
31/0 |
Mathlib/Topology/Algebra/Module/Equiv.lean |
1 |
27 |
['TJHeeringa', 'Whysoserioushah', 'github-actions', 'themathqueen'] |
PatrickMassot assignee:PatrickMassot |
2-31975 2 days ago |
6-40868 6 days ago |
7-34163 7 days |
| 41051 |
tb65536 author:tb65536 |
feat(FieldTheory/PolynomialGaloisGroup): add equivariant bijection between root sets |
Currently the bijection `rootsEquivRoots` between root sets of a polynomial that splits is not equivariant with respect to the action of the Galois group. This PR demotes the existing `rootsEquivRoots` to an auxilliary def `rootsEquivRootsAux` and adds an equivariant `rootsEquivRoots` in its place.
---
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|
t-algebra
t-ring-theory
label:t-algebra$ |
32/18 |
Mathlib/FieldTheory/PolynomialGaloisGroup.lean |
1 |
2 |
['github-actions', 'tb65536'] |
nobody |
2-30832 2 days ago |
2-37112 2 days ago |
2-36765 2 days |
| 41059 |
SnirBroshi author:SnirBroshi |
doc(Algebra/Group/Defs): fix typo in `NSMul`s docstring |
`SMUl` -> `SMul`
---
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|
t-algebra
easy
label:t-algebra$ |
1/1 |
Mathlib/Algebra/Group/Defs.lean |
1 |
1 |
['github-actions'] |
nobody |
2-26891 2 days ago |
2-29905 2 days ago |
2-29556 2 days |
| 36922 |
SnirBroshi author:SnirBroshi |
feat(Data/List/Chain): generalize `WellFounded.asymmetric₃` to chains |
The existing `WellFounded.asymmetric` shows `r a b → ¬r b a`,
and `WellFounded.asymmetric₃` shows `r a b → r b c → ¬r c a`.
This adds `WellFounded.asymmetricₙ` which shows `l.IsChain r → ¬r l.getLast l.head`.
---
Also adds a couple of `IsChain` lemmas which might be useful.
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|
t-data
maintainer-merge
|
43/9 |
Mathlib/Data/List/Chain.lean,Mathlib/Data/List/Pairwise.lean |
2 |
9 |
['SnirBroshi', 'Vierkantor', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
eric-wieser assignee:eric-wieser |
2-25085 2 days ago |
16-23452 16 days ago |
98-84921 98 days |
| 32725 |
joelriou author:joelriou |
feat(CategoryTheory): presheaves of types which preserve a limit |
Let `F : J ⥤ Cᵒᵖ` be a functor. We show that a presheaf `P : Cᵒᵖ ⥤ Type w` preserves the limit of `F` iff `P` is a local object with respect to a suitable family of morphisms in `Cᵒᵖ ⥤ Type w` (this family contains `1` or `0` morphism depending on whether the limit of `F` exists or not).
---
- [x] depends on: #38257
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|
t-category-theory |
155/0 |
Mathlib.lean,Mathlib/CategoryTheory/Limits/Types/PreservesLimit.lean |
2 |
8 |
['github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'robin-carlier'] |
kim-em assignee:kim-em |
2-21150 2 days ago |
2-66782 2 days ago |
6-62717 6 days |
| 34164 |
Scarlett-le author:Scarlett-le |
feat(Geometry/Euclidean/Sphere): define arcs on spheres |
This PR defines arcs on spheres and proves basic properties.
## Main definitions
* `EuclideanGeometry.Sphere.Arc`: An arc on a sphere, defined by a left
endpoint and a midpoint on the sphere. The right endpoint is computed as
the reflection of left across the line through the center and mid.
* `Arc.opposite`: The opposite arc (same endpoints, antipodal mid).
* `Arc.oppositeEquiv`: The involution given by `opposite`.
* `Arc.minor` / `Arc.major`: The minor/major arc between two
non-diametrically-opposite points.
* `Arc.through`: The arc from `A` to `C` passing through `B`.
* `Arc.avoiding`: The arc from `A` to `C` not passing through `B`.
## Main results
* `through_right` / `avoiding_right`: The right endpoint equals `C`.
* `mem_interior_through` / `mem_through`: `B` lies in the `through` arc.
* `not_mem_avoiding`: `B` does not lie in the `avoiding` arc (when `A ≠ C`).
## Dependencies
* #36241
* #35956
* #35957
* #40245 |
t-euclidean-geometry |
982/0 |
Mathlib.lean,Mathlib/Analysis/Convex/Side.lean,Mathlib/Analysis/InnerProductSpace/Projection/FiniteDimensional.lean,Mathlib/Geometry/Euclidean/Sphere/Arc.lean,Mathlib/Geometry/Euclidean/Sphere/OrthRadius.lean,Mathlib/LinearAlgebra/Ray.lean |
6 |
12 |
['Scarlett-le', 'github-actions', 'jsm28', 'mathlib-merge-conflicts'] |
jsm28 assignee:jsm28 |
2-21149 2 days ago |
3-6472 3 days ago |
3-52952 3 days |
| 34759 |
Hagb author:Hagb |
feat(RingTheory/MvPolynomial/MonomialOrder): add degree with `⊥` as degree of `0` |
`withBotDegree` is to distinguish the degree of zero polynomial from the degree of non-zero constant polynomial. `MonomialOrder.degree` of both are 0, while `withBotDegree` is `⊥` for zero polynomial and 0 for non-zero constant polynomial.
Some lemmas, such as $\mathrm{degree} (p * q) = \mathrm{degree}(p) + \mathrm{degree}(q)$, hold on edge cases where $p=0$ or $q=0$ under `MonomialOrder.withBotDegree` but not `MonomialOrder.degree`.
`MonomialOrder.withBotDegree` is to `MonomialOrder.degree` as `Polynomial.degree` is to `Polynomial.natDegree`.
It's upstreamized from https://github.com/WuProver/groebner_proj.
---
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`MonomialOrder.withBotDegree` is to [`MonomialOrder.degree`](https://leanprover-community.github.io/mathlib4_docs/find/?pattern=MonomialOrder.degree#doc) as [`Polynomial.degree`](https://leanprover-community.github.io/mathlib4_docs/find/?pattern=Polynomial.degree#doc) is to [`Polynomial.natDegree`](https://leanprover-community.github.io/mathlib4_docs/find/?pattern=Polynomial.natDegree#doc).
It's upstreamized from [`Groebner/MonomialOrder.lean` in the repo `WuProver/groebner_proj`](https://github.com/WuProver/groebner_proj/blob/main/Groebner/MonomialOrder.lean).
- [x] ~depends on: #34755~
- [x] depends on: #34756
- [x] depends on: #34758
[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
243/2 |
Mathlib/Data/Finsupp/MonomialOrder.lean,Mathlib/RingTheory/MvPolynomial/MonomialOrder.lean |
2 |
17 |
['Hagb', 'github-actions', 'joneugster', 'mariainesdff', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
chrisflav assignee:chrisflav |
2-21148 2 days ago |
50-59650 50 days ago |
85-47372 85 days |
| 34910 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Acyclic): a graph is a tree iff it's acyclic and has exactly `n - 1` edges |
---
This was my white whale for quite some time. Hooray!
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- [x] depends on: #34909
[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
61/3 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean,Mathlib/Order/RelIso/Basic.lean |
3 |
13 |
['SnirBroshi', 'amellendijk', 'github-actions', 'jt0202', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
b-mehta assignee:b-mehta |
2-21147 2 days ago |
9-52682 9 days ago |
11-72172 11 days |
| 38228 |
kim-em author:kim-em |
ci: block merging PRs that increase technical debt unless reviewed |
This PR adds a merge gate for technical debt increases.
When the existing technical debt metrics script reports an increase, the `build` job adds an `increases-technical-debt` label. A `check-technical-debt` job then adds `blocked-by-increases-technical-debt`, which blocks bors.
A reviewer can add `allow-increases-technical-debt` to unblock after confirming the increase is acceptable.
### Fail-closed detection
The detection greps for the *safe* patterns (`Decrease in tech debt:` / `No changes to technical debt.`) rather than for `Increase`. If `mathlib-ci` changes the script's output wording, the label is added (fail closed) rather than silently skipped (fail open).
### Labels (three-label pattern, same as #38225)
| Label | Managed by | Purpose |
|---|---|---|
| `increases-technical-debt` | `build` job (tech debt script) | Factual: this PR increases debt |
| `blocked-by-increases-technical-debt` | `check-technical-debt` job | Operational: blocks bors |
| `allow-increases-technical-debt` | Reviewer | Override: reviewer approves the increase |
Bors's `block_labels` has no conditional logic, so we need the derived `blocked-by-increases-technical-debt` label to express the conjunction "increases-technical-debt AND NOT allow-increases-technical-debt".
False positives can be reported on the [mathlib4 Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/increases-technical-debt.20label).
🤖 Prepared with Claude Code
-----------
- [x] depends on: leanprover-community/mathlib-ci#28 |
CI |
83/2 |
.github/workflows/PR_summary.yml,bors.toml |
2 |
9 |
['github-actions', 'grunweg', 'jcommelin', 'joneugster', 'kim-em', 'mathlib-dependent-issues'] |
bryangingechen assignee:bryangingechen |
2-21145 2 days ago |
30-74197 30 days ago |
43-63154 43 days |
| 38649 |
chrisflav author:chrisflav |
chore(RingTheory): equality of linear map with values in finite module spreads out |
We add some corollaries of `Module.Finite.exists_smul_of_comp_eq_of_isLocalizedModule`.
---
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t-ring-theory
large-import
|
75/1 |
Mathlib/Algebra/Module/FinitePresentation.lean,Mathlib/RingTheory/Localization/BaseChange.lean,Mathlib/RingTheory/Localization/Module.lean |
3 |
2 |
['github-actions'] |
mattrobball assignee:mattrobball |
2-21144 2 days ago |
60-58123 60 days ago |
60-57774 60 days |
| 38664 |
joelriou author:joelriou |
feat(AlgebraicTopology/SimplicialSet): more API for `SSet.op` |
---
- [x] depends on: #38662
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t-algebraic-topology |
119/0 |
Mathlib/AlgebraicTopology/SimplicialSet/KanComplex/MulStruct.lean,Mathlib/AlgebraicTopology/SimplicialSet/Op.lean,Mathlib/AlgebraicTopology/SimplicialSet/StdSimplex.lean |
3 |
8 |
['github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
robin-carlier assignee:robin-carlier |
2-21143 2 days ago |
2-67637 2 days ago |
2-67289 2 days |
| 38816 |
tb65536 author:tb65536 |
refactor(GroupTheory/Finiteness): make duplicate definitions into abbrevs |
The definitions `Submonoid.FG`, `Group.FG`, and `Subgroup.FG` are all equivalent to `Monoid.FG`, so I've made them into abbrevs. In the future we might even want to consider deprecating all but one to avoid having four ways to write the same thing.
---
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|
t-algebra
t-group-theory
label:t-algebra$ |
140/115 |
Mathlib/Algebra/AffineMonoid/Irreducible.lean,Mathlib/GroupTheory/Finiteness.lean,Mathlib/GroupTheory/MonoidLocalization/Finite.lean,Mathlib/GroupTheory/Schreier.lean,Mathlib/ModelTheory/Arithmetic/Presburger/Semilinear/Basic.lean,Mathlib/ModelTheory/Arithmetic/Presburger/Semilinear/Defs.lean,Mathlib/RingTheory/FiniteType.lean,Mathlib/RingTheory/Finiteness/Defs.lean,Mathlib/RingTheory/Localization/InvSubmonoid.lean |
9 |
5 |
['eric-wieser', 'github-actions', 'j-loreaux', 'tb65536'] |
riccardobrasca assignee:riccardobrasca |
2-21142 2 days ago |
25-17205 25 days ago |
57-41550 57 days |
| 39027 |
fpvandoorn author:fpvandoorn |
feat: delaborators for inequalities in big operators |
`∏ i < n, f i` was already accepted as valid syntax, but this PR now also prints appropriate sums/products using this notation.
---
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|
t-algebra
t-meta
label:t-algebra$ |
132/49 |
Mathlib/Algebra/BigOperators/Group/Finset/Defs.lean,MathlibTest/BigOps.lean |
2 |
2 |
['fpvandoorn', 'github-actions'] |
eric-wieser assignee:eric-wieser |
2-21141 2 days ago |
40-55573 40 days ago |
40-65827 40 days |
| 39214 |
Hagb author:Hagb |
refactor(Data/Finsupp/MonomialOrder): remove `.wf` (well foundedness) field from `MonomialOrder` |
Many properties still hold without the well-foundedness.
Although Gröbner basis theory requires the monomial order to be well founded for the termination of the division algorithm (formalized in `MonomialOrder.div`), many properties that don't relay on the division or remainder still hold without the well-foundedness.
Even the division algorithm can terminate in some cases where the monomial order isn't well founded. For example, if the divisors set is finite, then the algorithm can terminate w.r.t. `MonomialOrder.lex (σ := Nat)` even though it isn't well founded. Such cases cannot be directly stated if the formalization of monomial order requires well-foundedness.
Deletions:
- MonomialOrder.wf
---
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|
t-ring-theory |
21/13 |
Mathlib/Data/Finsupp/MonomialOrder.lean,Mathlib/Data/Finsupp/MonomialOrder/DegLex.lean,Mathlib/RingTheory/MvPolynomial/Groebner.lean,Mathlib/RingTheory/MvPolynomial/MonomialOrder/DegLex.lean |
4 |
5 |
['Hagb', 'github-actions', 'vihdzp'] |
chrisflav assignee:chrisflav |
2-21140 2 days ago |
47-47361 47 days ago |
47-47012 47 days |
| 39436 |
dtumad author:dtumad |
chore: Add `seqLeft` and `seqRight` unfolding to monad_norm simp set |
This PR adds `seqLeft_eq_bind` and `seqRight_eq_bind` to `monad_norm`, so that `<*` and `*>` get unfolded in the same way as `<*>` already does when using the `simp` set.
---
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|
t-meta
new-contributor
|
1/1 |
Mathlib/Tactic/Attr/Core.lean |
1 |
2 |
['github-actions'] |
kim-em assignee:kim-em |
2-21139 2 days ago |
43-32992 43 days ago |
43-32643 43 days |
| 39506 |
b-mehta author:b-mehta |
feat(Data/Complex/Basic): add simproc to reduce powers of I |
This is enabled by default to make eg i^5 simplify automatically.
We intentionally require the exponent to be a numeral, as this is intended to be a reduction statement, and for symbolic `n`, the lemma `I_pow_eq_pow_mod` should be used instead.
Note that we can't have `I_pow_eq_pow_mod` as a simp lemma due to looping.
---
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t-data |
65/5 |
Mathlib/Algebra/Group/Defs.lean,Mathlib/Analysis/Meromorphic/FactorizedRational.lean,Mathlib/Analysis/SpecialFunctions/Elliptic/Weierstrass.lean,Mathlib/Data/Complex/Basic.lean,MathlibTest/Simproc/IPow.lean |
5 |
15 |
['Paul-Lez', 'b-mehta', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts'] |
eric-wieser assignee:eric-wieser |
2-21138 2 days ago |
28-71181 28 days ago |
41-16694 41 days |
| 39738 |
NoahW314 author:NoahW314 |
feat(Algebra/Algebra/Bilinear): generalize to `NonUnitalNonAssocCommSemiring` |
Complete a TODO which can now be done since #28604 is merged.
---
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|
t-algebra label:t-algebra$ |
2/4 |
Mathlib/Algebra/Algebra/Bilinear.lean |
1 |
1 |
['github-actions'] |
ocfnash assignee:ocfnash |
2-21135 2 days ago |
36-11482 36 days ago |
36-11133 36 days |
| 39759 |
plp127 author:plp127 |
chore(FieldTheory/KrullTopology): move lemmas to earlier file |
We move some lemmas unrelated to the Krull topology out of the `KrullTopology` file. They are placed in the earlier file `FieldTheory/IsGalois/Basic` instead.
---
In #23693 it is said that
> The proof of it uses some results in this file, so it can't be put into earlier files.
This is no longer true, so we want move it out of the `KrullTopology` file because the theorems have nothing to do with the Krull topology. I found that they can go in `FieldTheory/IsGalois/Basic` without modifying the proofs. They cannot go any earlier because the statement of the theorems contains `IsGalois`, which is defined in this file.
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|
t-algebra label:t-algebra$ |
59/68 |
Mathlib/FieldTheory/Galois/Basic.lean,Mathlib/FieldTheory/KrullTopology.lean |
2 |
5 |
['acmepjz', 'github-actions', 'grunweg', 'plp127', 'vihdzp'] |
ocfnash assignee:ocfnash |
2-21133 2 days ago |
35-34140 35 days ago |
35-33791 35 days |
| 39763 |
NoahW314 author:NoahW314 |
feat(Algebra/GroupWithZero/Divisibility): add `mul_dvd_left_iff_isUnit` |
---
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|
t-algebra label:t-algebra$ |
9/0 |
Mathlib/Algebra/GroupWithZero/Divisibility.lean |
1 |
1 |
['github-actions'] |
kim-em assignee:kim-em |
2-21132 2 days ago |
35-10026 35 days ago |
35-9677 35 days |
| 39774 |
Hagb author:Hagb |
feat(Order/WellFounded): `WellFounded` on subtype iff the relation restricted on the subtype is `WellFounded` |
Equivalence between `WellFounded` on a subtype and `WellFounded` on the underlying type with the relation restricted on the subtype.
---
(It was a lemma for #39781, which has been closed since there would be a better proof.)
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|
t-order |
13/0 |
Mathlib/Order/WellFounded.lean |
1 |
3 |
['Hagb', 'SnirBroshi', 'github-actions'] |
bryangingechen assignee:bryangingechen |
2-21131 2 days ago |
34-45913 34 days ago |
34-45564 34 days |
| 39782 |
robin-carlier author:robin-carlier |
feat(Tactic): `nonempty` attribute |
This PR adds a `nonempty` attribute. When tagging a definition of type `α` with `[nonempty]`, an instance of type `Nonempty α` is automatically generated and registered using the definition.
Such an attribute is useful in the following scenario: certain structures are not classes (e.g., to avoid data-carrying classes potentially creating diamonds), but mere existence of terms of such structures allows to derive instances about the parameters of the structure. Using `[nonempty]` lets one auto-generate the instances derived instance (provided they correctly follow from `[Nonempty _]`).
Such is the case for the `CategoryTheory.Functor.FullyFaithful` structure, which allows to derive the `Prop`-classes `CategoryTheory.Functor.Full` and `CategoryTheory.Functor.Faithful`. Currently in mathlib, most definitions of type `CategoryTheory.Functor.FullyFaithful` are immediately followed by the corresponding `Full` and `Faithful` instances, adding "boilerplate" and increasing the surface for potential mistakes (like forgetting one or both of the instances.)
The attribute uses a variation of `addRelatedDecl` called `addRelatedInstance`, which handles automatic name generation and registration of instances from a given declaration and a "constructor" of type `Expr → List Name → MetaM (Expr × List Name)`.
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I believe abstracting `addRelatedInst` might have other possible usages: for instance, given an adjunction `adj: L ⊣ R`, it would be nice to have an attribute that one can tag on such adjunctions that automatically registers `L.IsLeftAdjoint` and `R.IsRightAdjoint`. The `nonempty` attribute here can’t really do this because `R` can’t be inferred from a goal of type `L.IsLeftAdjoint`, but the situation is quite similar, and `addRelatedInst` could also help writing this kind of attribute.
[](https://gitpod.io/from-referrer/)
|
t-meta |
320/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/NonemptyAttr.lean,Mathlib/Util/AddRelatedDecl.lean,MathlibTest/NonemptyAttr.lean |
5 |
10 |
['JovanGerb', 'github-actions', 'robin-carlier'] |
JovanGerb assignee:JovanGerb |
2-21129 2 days ago |
33-36756 33 days ago |
33-36407 33 days |
| 39802 |
vihdzp author:vihdzp |
feat: more theorems on `toBoolRing` |
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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
23/0 |
Mathlib/Algebra/Ring/BooleanRing.lean |
1 |
3 |
['github-actions', 'plp127'] |
themathqueen assignee:themathqueen |
2-21127 2 days ago |
31-32728 31 days ago |
32-73329 32 days |
| 39808 |
chenson2018 author:chenson2018 |
chore(Data): refactor proofs where `grind?` fails |
These are sources of technical debt as now reported in the [weekly linting report](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Weekly.20linting.20log/with/544658968). The idea is that a successful `grind` proof can fail to report the theorems it used via `grind?`, which means that if these proofs break across toolchains that it becomes significantly harder to repair.
Most of these are fixed by squeezing the call to `grind` and unsetting `linter.tacticAnalysis.verifyGrindOnly` so they no longer appear in the weekly report. Unfortunately, this can't be on by default for performance reasons, but I highly encourage using this linter when adding any `grind` proofs.
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[](https://gitpod.io/from-referrer/)
|
t-data
tech debt
|
69/41 |
Mathlib/Data/Bool/Basic.lean,Mathlib/Data/Bool/Set.lean,Mathlib/Data/EReal/Operations.lean,Mathlib/Data/Fin/Tuple/NatAntidiagonal.lean,Mathlib/Data/Finset/Image.lean,Mathlib/Data/Finset/Powerset.lean,Mathlib/Data/Finset/Range.lean,Mathlib/Data/Finset/SMulAntidiagonal.lean,Mathlib/Data/List/Basic.lean,Mathlib/Data/List/Chain.lean,Mathlib/Data/List/Count.lean,Mathlib/Data/List/Cycle.lean,Mathlib/Data/List/Induction.lean,Mathlib/Data/List/ReduceOption.lean,Mathlib/Data/List/Sigma.lean,Mathlib/Data/List/Sort.lean,Mathlib/Data/List/TakeDrop.lean,Mathlib/Data/List/Triplewise.lean,Mathlib/Data/Option/Basic.lean,Mathlib/Data/Set/Card.lean,Mathlib/Data/Set/Disjoint.lean,Mathlib/Data/Set/Function.lean,Mathlib/Data/Set/Insert.lean,Mathlib/Data/Sum/Order.lean |
24 |
1 |
['github-actions'] |
Vierkantor assignee:Vierkantor |
2-21126 2 days ago |
34-5589 34 days ago |
34-5240 34 days |
| 39809 |
zcyemi author:zcyemi |
feat(LinearAlgebra/AffineSpace/Menelaus): add Menelaus' theorem |
Add Menelaus' theorem for both `AffineSpace` and `NormedAddTorsor`.
The `AffineSpace` version includes both the forward and converse directions, while the `NormedAddTorsor` version currently includes the forward direction.
For the converse direction in the `NormedAddTorsor` setting, I am still considering the most convenient formalization for future use. One possible approach is to use `sbtw` / `¬ sbtw` to distinguish the different positional cases for points on the edges of a triangle, but this seems too complicated under permutations of the triangle vertices.
|
t-euclidean-geometry |
218/0 |
Mathlib.lean,Mathlib/Analysis/Normed/Affine/Menelaus.lean,Mathlib/LinearAlgebra/AffineSpace/Menelaus.lean,docs/1000.yaml |
4 |
1 |
['github-actions'] |
eric-wieser assignee:eric-wieser |
2-21125 2 days ago |
33-83514 33 days ago |
33-83842 33 days |
| 39818 |
Ljon4ik4 author:Ljon4ik4 |
feat: Transferring Lie Algebra structures along Equivalences |
This pr adds the functionality to transfer Lie brackets along equivalences (additive, linear and plain ones).
I followed the scheme of the existing `TransferInstance.lean` file.
For one of the proofs, I also needed `linearEquiv_apply `, which seemed missing so I added it.
AI use disclaimer: I used claude to search for lemmas/ understand error messages / proofreading and feedback, but wrote the whole code myself.
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
124/0 |
Mathlib.lean,Mathlib/Algebra/Lie/TransferInstance.lean,Mathlib/Algebra/Module/TransferInstance.lean |
3 |
2 |
['github-actions'] |
kim-em assignee:kim-em |
2-21124 2 days ago |
33-60831 33 days ago |
33-62727 33 days |
| 39829 |
or4nge19 author:or4nge19 |
feat(LinearAlgebra): basis flag lemmas and genEigenspace map |
Part 1/3 of #39139.
Introduces basis flag lemmas and intertwining `genEigenspace` map, using directly available constructors, ie introducing none (so improving on #39139)
Co-authored-by: [kuotsanhsu](https://github.com/kuotsanhsu) [learningstud@gmail.com](mailto:learningstud@gmail.com)
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
large-import
label:t-algebra$ |
76/2 |
Mathlib/LinearAlgebra/Basis/Flag.lean,Mathlib/LinearAlgebra/Eigenspace/Basic.lean |
2 |
1 |
['github-actions'] |
joelriou assignee:joelriou |
2-21122 2 days ago |
33-56653 33 days ago |
33-56331 33 days |
| 39865 |
eliasjudin author:eliasjudin |
feat(Algebra): add eval API parity lemmas |
Adds two eval API parity lemmas from #23044: `MvPolynomial.hom_eval₂`, parallel to `Polynomial.hom_eval₂`, and `Polynomial.eval₂RingHom_comp_C`, parallel to `MvPolynomial.eval₂Hom_comp_C`.
This addresses the eval portion of #23044; the degree-name discussion there is left for separate work.
|
t-algebra
new-contributor
label:t-algebra$ |
10/0 |
Mathlib/Algebra/MvPolynomial/Eval.lean,Mathlib/Algebra/Polynomial/Eval/Defs.lean |
2 |
2 |
['github-actions'] |
themathqueen assignee:themathqueen |
2-21119 2 days ago |
32-79696 32 days ago |
32-79347 32 days |
| 39868 |
JuanCoRo author:JuanCoRo |
feat(Algebra/Polynomial): linearity of `divByMonic` and adjacent results |
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This PR adds the `R`-linearity of the monic polynomial division map `_ /ₘ q`. It also adds adjacent results that stem from this work.
#### Refactors:
- Reuses the proofs from `add_modByMonic` and `smul_modByMonic` to generalize these results to `add_div_modByMonic` and `smul_div_modByMonic` respectively.
- Replaces the proofs of `add_modByMonic` and `smul_modByMonic` as specializations of the more general theorems `add_div_modByMonic` and `smul_div_modByMonic` respectively.
#### Additions:
- Adds the necessary results for `_ /ₘ q` linearity:
- `add_divByMonic : (p₁ + p₂) /ₘ q = p₁ /ₘ q + p₂ /ₘ q`
- `smul_divByMonic : c • p /ₘ q = c • (p /ₘ q)`
- Adds `_ /ₘ q` as an `R`-linear map:
- `divByMonicHom`: definition of `_ /ₘ q` as a linear map
- `mem_ker_divByMonic`: kernel characterization for `_ /ₘ q`.
- In `Div.lean` adds dual results for `/ₘ` that were already present for `%ₘ`
- `neg_divByMonic : (-p) /ₘ q = -(p /ₘ q)`
- `sub_divByMonic : (p₁ - p₂) /ₘ q = p₁ /ₘ q - p₂ /ₘ q`
- `mul_divByMonic_assoc (hd : q ∣ p₂) : (p₁ * p₂) /ₘ q = p₁ * (p₂ /ₘ q)`
While `mul_divByMonic_assoc` is not exactly the dual of `mul_modByMonic`, I thought it wouldn't hurt to add it.
[](https://gitpod.io/from-referrer/) |
new-contributor
t-algebra
label:t-algebra$ |
54/17 |
Mathlib/Algebra/Polynomial/Div.lean,Mathlib/Algebra/Polynomial/RingDivision.lean |
2 |
8 |
['JuanCoRo', 'github-actions', 'wwylele'] |
ocfnash assignee:ocfnash |
2-21118 2 days ago |
29-69907 29 days ago |
29-69637 29 days |
| 39870 |
YaelDillies author:YaelDillies |
feat(Data): interleaving lists |
Define interleaving of lists, both as an operation and as a relation.
This will be used to define interleaving polynomials, which in turn are a central concept in the line of work that earned June Huh his 2022 Fields medal.
---
Twin batteries PR: https://github.com/leanprover-community/batteries/pull/1853 (I don't mind which gets merged)
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[](https://gitpod.io/from-referrer/)
|
t-data |
232/0 |
Mathlib.lean,Mathlib/Data/List/Interleave.lean |
2 |
10 |
['YaelDillies', 'chenson2018', 'github-actions', 'mathlib-merge-conflicts', 'ocfnash'] |
eric-wieser assignee:eric-wieser |
2-21117 2 days ago |
2-76260 2 days ago |
32-24638 32 days |
| 39913 |
mkaratarakis author:mkaratarakis |
feat(Combinatorics/Quiver): periodicity and aperiodicity |
cycle lengths, index of imprimitivity, and cyclic partitions for strongly connected quivers.
Part of the Perron–Frobenius formalization (with @or4nge19).
---
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cc @or4nge19 for review |
t-combinatorics |
194/0 |
Mathlib.lean,Mathlib/Combinatorics/Quiver/Cyclic.lean |
2 |
2 |
['github-actions', 'or4nge19'] |
b-mehta assignee:b-mehta |
2-21116 2 days ago |
30-70986 30 days ago |
31-72033 31 days |
| 39935 |
FordUniver author:FordUniver |
feat(Combinatorics/SimpleGraph/Finite): LocallyFiniteOrder |
Adds an order-theoretic `LocallyFiniteOrder (SimpleGraph V)` instance (closed intervals are finite), distinct from the existing graph-theoretic `LocallyFinite` (vertex degrees) already in this file. The instance takes `DecidableLE` as an explicit hypothesis rather than routing through `Classical`, because per-graph `DecidableRel G.Adj` is value-dependent and cannot be a free global instance.
Co-authored-by: Malte Jackisch <45597826+MaltyBlanket@users.noreply.github.com>
---
Came up while writing a Möbius inversion between copy counts and induced copy counts ([WIP](https://github.com/FordUniver/mathlib4/pull/36/changes)) that sums over the closed interval `Finset.Icc G ⊤` of supergraphs. Decidability of the order plus local-finiteness of the lattice felt like a clean standalone piece to land first, before the rest of the Möbius file.
Less sure about what the conventions for declaring type class instances are in mathlib, let me know if this is not of the expected shape or should not be included at all. |
t-combinatorics |
20/0 |
Mathlib/Combinatorics/SimpleGraph/Finite.lean |
1 |
1 |
['github-actions'] |
b-mehta assignee:b-mehta |
2-21115 2 days ago |
31-54632 31 days ago |
31-54283 31 days |
| 39941 |
mkaratarakis author:mkaratarakis |
feat(Data/List): add count lemmas for duplicate detection |
## Summary
Add general list count lemmas used in the Perron–Frobenius quiver-path development:
- `List.mem_tail_of_count_ge_two`
- `List.exists_pos_get_of_dropLast_count_ge_two`
Relocated from the PF-specific file per review feedback. Proofs use upstream `List.Duplicate` API and `grind` where appropriate (per @chenson2018).
Part of the Perron–Frobenius formalization (with @or4nge19).
## Test plan
- [x] `lake build Mathlib.Data.List.Count`
- [x] `lake build Mathlib.Combinatorics.Quiver.Path.PerronFrobenius` (on integration branch)
cc @or4nge19 for review |
t-data |
24/0 |
Mathlib/Data/List/Count.lean |
1 |
3 |
['chenson2018', 'github-actions', 'mkaratarakis'] |
TwoFX assignee:TwoFX |
2-21114 2 days ago |
31-40846 31 days ago |
31-41097 31 days |
| 40005 |
tautschnig author:tautschnig |
feat(Data/ZMod/Basic): isUnit characterisation in prime power moduli |
Add two lemmas characterising units in ZMod (p^n) via divisibility of the canonical lift:
isUnit_iff_not_prime_dvd_val: for prime p and n > 0,
IsUnit x ↔ ¬ p ∣ x.val.
not_isUnit_iff_prime_dvd_val: for prime p and n > 0,
¬ IsUnit x ↔ p ∣ x.val.
These specialise the existing isUnit_iff_coprime to prime power moduli, where the coprimality condition reduces to a simple divisibility check on the unique prime factor.
---
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t-data
new-contributor
|
15/0 |
Mathlib/Data/ZMod/Basic.lean |
1 |
3 |
['copilot-pull-request-reviewer', 'github-actions'] |
TwoFX assignee:TwoFX |
2-21114 2 days ago |
29-81512 29 days ago |
29-81163 29 days |
| 40006 |
tautschnig author:tautschnig |
feat(Data/ZMod/Basic): idempotents in ZMod (p^d) are exactly {0, 1} |
Add sq_eq_self_iff_eq_zero_or_one: in ZMod (p^d) for prime p and d > 0, x^2 = x iff x = 0 or x = 1.
This generalises eq_zero_or_one_of_sq_eq_self (which requires CancelMonoidWithZero, i.e., no zero divisors) to the prime-power case. ZMod (p^d) has zero divisors for d >= 2, so the mul_left_injective₀ argument used by the existing lemma does not apply. The proof works by lifting to ℕ, using that if gcd(a, b) = 1 and p^d | a*b then p^d divides one of a or b (by Euclid's lemma), then noting that a = x.val and b = x.val - 1 are consecutive naturals and hence coprime.
---
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t-data
new-contributor
|
56/0 |
Mathlib/Data/ZMod/Basic.lean |
1 |
3 |
['Julian-Kuelshammer', 'github-actions'] |
eric-wieser assignee:eric-wieser |
2-21113 2 days ago |
29-76661 29 days ago |
29-77007 29 days |
| 40022 |
chenson2018 author:chenson2018 |
chore(Algebra): refactor proofs where `grind?` fails |
These are sources of technical debt as now reported in the [weekly linting report](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Weekly.20linting.20log/with/544658968). The idea is that a successful grind proof can fail to report the theorems it used via grind?, which means that if these proofs break across toolchains that it becomes significantly harder to repair.
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t-algebra label:t-algebra$ |
16/6 |
Mathlib/Algebra/Group/Defs.lean,Mathlib/Algebra/Notation/Support.lean,Mathlib/Algebra/Order/BigOperators/Group/Finset.lean,Mathlib/Algebra/Order/Field/Basic.lean,Mathlib/Algebra/Order/Ring/StandardPart.lean,Mathlib/Algebra/Polynomial/Degree/Lemmas.lean |
6 |
1 |
['github-actions'] |
themathqueen assignee:themathqueen |
2-21112 2 days ago |
29-51445 29 days ago |
29-51096 29 days |
| 40023 |
chenson2018 author:chenson2018 |
chore(AlgebraicTopology): refactor proofs where `grind?` fails |
These are sources of technical debt as now reported in the [weekly linting report](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Weekly.20linting.20log/with/544658968). The idea is that a successful grind proof can fail to report the theorems it used via grind?, which means that if these proofs break across toolchains that it becomes significantly harder to repair.
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|
t-algebraic-topology
will-close-soon
|
11/5 |
Mathlib/AlgebraicTopology/SimplexCategory/DeltaZeroIter.lean,Mathlib/AlgebraicTopology/SimplexCategory/GeneratorsRelations/NormalForms.lean,Mathlib/AlgebraicTopology/SimplicialSet/NonDegenerateSimplices.lean,Mathlib/AlgebraicTopology/SimplicialSet/NonDegenerateSimplicesSubcomplex.lean |
4 |
4 |
['chenson2018', 'github-actions', 'grunweg', 'joelriou'] |
mattrobball assignee:mattrobball |
2-21111 2 days ago |
29-51005 29 days ago |
29-50656 29 days |
| 40025 |
artie2000 author:artie2000 |
chore(Data/SetLike/Basic): generalise instance |
* Generalise the standard `IsConcreteLE` instance from `PartialOrder.ofSetLike` to `LE.ofSetLike`
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t-data |
8/4 |
Mathlib/Data/SetLike/Basic.lean |
1 |
4 |
['github-actions', 'leanprover-radar', 'vihdzp'] |
TwoFX assignee:TwoFX |
2-21110 2 days ago |
29-47438 29 days ago |
29-47089 29 days |
| 40081 |
xroblot author:xroblot |
chore(Algebra/Algebra/Subalgebra): lower priority of Module instance |
Lower the priority of `Subalgebra.instModuleSubtypeMem` from default (1000) to `low` (100).
This instance uses `inferInstance`, which re-triggers typeclass synthesis and can be expensive
to succeed. Lowering the priority makes it a fallback when cheaper paths are available.
Benchmark results show no regressions and meaningful speedups on several files
(up to -23% on `Mathlib.LinearAlgebra.TensorProduct.Subalgebra`).
:robot: Prepared with Claude Code |
t-algebra label:t-algebra$ |
1/1 |
Mathlib/Algebra/Algebra/Subalgebra/Basic.lean |
1 |
7 |
['github-actions', 'leanprover-radar', 'plp127', 'xroblot'] |
ocfnash assignee:ocfnash |
2-21109 2 days ago |
27-38940 27 days ago |
27-38633 27 days |
| 40155 |
TheGoedeDoel author:TheGoedeDoel |
feat: functor of localized commutative rings |
Given a functor of commutative rings R and a submonoid functor S,
we add a functor of commutative rings with objects that are localizations
of R(U) at the submonoid S(U). We also show that this functor satisfies a
universal property.
---
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|
t-algebra
new-contributor
label:t-algebra$ |
255/0 |
Mathlib.lean,Mathlib/Algebra/Category/ModuleCat/LocalizedFunctor.lean |
2 |
14 |
['TheGoedeDoel', 'chrisflav', 'github-actions'] |
ocfnash assignee:ocfnash |
2-21107 2 days ago |
16-29171 16 days ago |
25-28866 25 days |
| 40165 |
SnirBroshi author:SnirBroshi |
feat(Algebra): `iSup` of substructures equals the set-union of all finite `iSup`s |
`(⨆ i, S i).carrier = ⋃ s : Finset ι, ⨆ i ∈ s, S i` for every substructure that has `coe_iSup_of_directed`:
- `Subsemigroup`
- `Submonoid`
- `Subgroup`
- `Subsemiring`
- `Subring`
- `Subfield`
- `Submodule`
- `Subalgebra`
- `NonUnitalStarSubalgebra`
- `NonUnitalSubalgebra`
- `NonUnitalSubring`
- `NonUnitalSubsemiring`
- `StarSubalgebra`
- `IntermediateField`
Co-authored-by: Albert Smith <10266947+ChiCubed@users.noreply.github.com>
---
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t-algebra
large-import
label:t-algebra$ |
136/0 |
Mathlib.lean,Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean,Mathlib/Algebra/Algebra/Subalgebra/Directed.lean,Mathlib/Algebra/Field/Subfield/Basic.lean,Mathlib/Algebra/Group/Subgroup/Pointwise.lean,Mathlib/Algebra/Group/Submonoid/Pointwise.lean,Mathlib/Algebra/Group/Subsemigroup/Lemmas.lean,Mathlib/Algebra/Ring/Subring/Pointwise.lean,Mathlib/Algebra/Ring/Subsemiring/Pointwise.lean,Mathlib/Algebra/Star/NonUnitalSubalgebra.lean,Mathlib/Algebra/Star/Subalgebra.lean,Mathlib/FieldTheory/IntermediateField/Adjoin/Basic.lean,Mathlib/LinearAlgebra/Span/Basic.lean,Mathlib/RingTheory/NonUnitalSubring/Basic.lean,Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean |
15 |
2 |
['github-actions', 'plp127'] |
kim-em assignee:kim-em |
2-21105 2 days ago |
21-11643 21 days ago |
21-11950 21 days |
| 40182 |
Thmoas-Guan author:Thmoas-Guan |
feat(RingTheory): add lemma for span rank of maximal ideal under surjection |
In this PR, we added the following result : for noetherian local ring `(R, m, k)`, the span rank of maximal ideal of `R/I` adding `k` dimension of `I+m^2/m^2` is equal to span rank of maximal ideal of `R`.
This would be useful when dealing with regular local ring and quotient within `m^2`.
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|
t-ring-theory |
52/0 |
Mathlib/Algebra/Module/SpanRankOperations.lean,Mathlib/RingTheory/Ideal/Cotangent.lean,Mathlib/RingTheory/LocalRing/ResidueField/Basic.lean |
3 |
1 |
['github-actions'] |
adamtopaz assignee:adamtopaz |
2-21104 2 days ago |
24-64076 24 days ago |
24-63727 24 days |
| 40197 |
plp127 author:plp127 |
feat: valuation of an algebraic element |
We prove that if `x` is algebraic over `K` then there exists some `n ≠ 0` such that the valuation of `x` raised to the `n`-th power is equal to the valuation of some element of `K`.
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|
t-ring-theory |
67/0 |
Mathlib.lean,Mathlib/RingTheory/Valuation/Algebraic.lean |
2 |
1 |
['github-actions'] |
jjdishere assignee:jjdishere |
2-21103 2 days ago |
24-40404 24 days ago |
24-40055 24 days |
| 40204 |
Jun2M author:Jun2M |
feat(Combinatorics): incidence-based `HypergraphLike` class |
This PR introduces an alternative definition of HyperGraphLike based on incidence.
This is alternative to #36743.
See discussion at ([#graph theory > HasAdj](https://leanprover.zulipchat.com/#narrow/channel/252551-graph-theory/topic/HasAdj/with/575843445)) for more information.
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|
t-combinatorics |
1729/2 |
Mathlib.lean,Mathlib/Combinatorics/Digraph/GraphLike.lean,Mathlib/Combinatorics/Graph/Basic.lean,Mathlib/Combinatorics/Graph/GraphLike.lean,Mathlib/Combinatorics/GraphLike/Basic.lean,Mathlib/Combinatorics/GraphLike/Walks/Basic.lean,Mathlib/Combinatorics/GraphLike/Walks/Dart.lean,Mathlib/Combinatorics/SimpleGraph/GraphLike.lean,Mathlib/Data/PFun.lean,Mathlib/Data/Part.lean |
10 |
2 |
['github-actions'] |
b-mehta assignee:b-mehta |
2-21102 2 days ago |
24-10498 24 days ago |
24-12888 24 days |
| 40205 |
BryceT233 author:BryceT233 |
feat(RingTheory/MvPowerSeries): multivariable power series ring is a noetherian ring when the index is finite |
This is a split of #36507 which includes `isEmptyEquiv`, `optionEquivLeft` and `finSuccEquiv`. We use `finSuccEquiv` to show multivariable power series ring over a noetherian ring is a noetherian ring when the index is finite.
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|
t-ring-theory
large-import
|
209/2 |
Mathlib/RingTheory/MvPowerSeries/Equiv.lean |
1 |
1 |
['github-actions'] |
mattrobball assignee:mattrobball |
2-21101 2 days ago |
8-23368 8 days ago |
24-17347 24 days |
| 39876 |
kim-em author:kim-em |
feat(scripts): dump cross-reference tags to TSV for downstream review |
This PR adds `scripts/dump_crossref_tags.lean`, which walks `Mathlib.CrossRef.tagExt` in the elaborated Mathlib environment and writes one TSV record per tagged declaration. The TSV is consumed by a privileged `workflow_run` job that posts the cross-reference review PR comment; the rest of that machinery lives in https://github.com/leanprover-community/external-tags and https://github.com/leanprover-community/mathlib-ci. Fields are sanitised so tabs/newlines in user-controlled comments can't break the TSV framing, and the output is capped at 2 MB.
Uses `importModules (loadExts := true)` rather than `withImportModules`, because the wrapper passes `loadExts := false` and would leave `tagExt` empty for imported modules.
🤖 Prepared with [Claude Code](https://claude.com/claude-code) |
CI
LLM-generated
|
96/0 |
scripts/README.md,scripts/dump_crossref_tags.lean |
2 |
3 |
['github-actions', 'jcommelin', 'kim-em'] |
nobody |
2-20248 2 days ago |
31-79747 31 days ago |
31-79504 31 days |
| 39412 |
mbkybky author:mbkybky |
feat(RingTheory/Flat): a finite flat `R`-module `M` is locally free if `rankAtStalk M` is constant |
Let `M` be a finite flat `R`-module, `p` be a prime ideal of `R`. We show that if `rankAtStalk M` is constant, then there exists `a ∉ p` such that the `M` is free after localization away from `a`.
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|
t-ring-theory |
135/2 |
Mathlib.lean,Mathlib/Algebra/Module/FinitePresentation.lean,Mathlib/Algebra/Module/LocalizedModule/Submodule.lean,Mathlib/LinearAlgebra/FiniteDimensional/Basic.lean,Mathlib/RingTheory/Flat/LocallyFree.lean,Mathlib/RingTheory/Localization/BaseChange.lean,Mathlib/RingTheory/Spectrum/Prime/FreeLocus.lean,Mathlib/RingTheory/Support.lean |
8 |
4 |
['github-actions', 'robin-carlier'] |
nobody |
2-20245 2 days ago |
25-4366 25 days ago |
43-46588 43 days |
| 40601 |
BoltonBailey author:BoltonBailey |
ci: add tech debt label |
This PR adds a step to the PR summary bot to make it add the "tech debt" label to PRs that decrease tech debt.
This PR was made with the assistance of Claude code
Thanks to Felix for this idea. Zulip discussion here [#mathlib4 > Technical Debt Counters @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Technical.20Debt.20Counters/near/601643776)
---
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|
CI
LLM-generated
|
9/0 |
.github/workflows/PR_summary.yml |
1 |
8 |
['BoltonBailey', 'felixpernegger', 'github-actions', 'joneugster'] |
joneugster assignee:joneugster |
2-16037 2 days ago |
2-35738 2 days ago |
13-12160 13 days |
| 31768 |
Thmoas-Guan author:Thmoas-Guan |
feat(Homology): `Ext` under restrict scalars by `RingEquiv` |
In this PR, we proved that `Ext` commute with ulift functor in `ModuleCat`.
Further more, we provided compatibility with (semi-)linear equiv of general universe.
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
t-category-theory
label:t-algebra$ |
97/0 |
Mathlib.lean,Mathlib/Algebra/Category/ModuleCat/ChangeOfRings.lean,Mathlib/Algebra/Category/ModuleCat/Ext/RingEquiv.lean |
3 |
31 |
['Thmoas-Guan', 'dagurtomas', 'github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
kim-em assignee:kim-em |
2-12967 2 days ago |
17-9941 17 days ago |
38-53544 38 days |
| 31222 |
Thmoas-Guan author:Thmoas-Guan |
feat(Algebra): `Hom` commute with flat base change |
In this PR, we proved `Hom_S (M \tensor S, N \tensor S)` is base change of `Hom_R (M, N)` with respect to `LinearMap.baseChangeHom`.
Co-authored-by: Wang Jingting <wangjt2020@163.com>
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[](https://gitpod.io/from-referrer/)
|
large-import
t-algebra
label:t-algebra$ |
49/0 |
Mathlib/Algebra/Module/FinitePresentation.lean |
1 |
5 |
['github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot'] |
chrisflav assignee:chrisflav |
2-12949 2 days ago |
58-28806 58 days ago |
58-28723 58 days |
| 40590 |
BryceT233 author:BryceT233 |
feat(RingTheory/AdjoinRoot): more on `AdjoinRoot' of monic polynomials |
This PR adds some missing basic API for `AdjoinRoot p` where `p` is a monic polynomial.
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|
t-ring-theory |
27/0 |
Mathlib/RingTheory/AdjoinRoot.lean |
1 |
1 |
['github-actions'] |
nobody |
2-10314 2 days ago |
2-11338 2 days ago |
13-80889 13 days |
| 40092 |
korbonits author:korbonits |
feat(Topology/Connected): path-connectedness of products and pi types |
# Disclaimer
Following https://leanprover-community.github.io/contribute/index.html, I wanted to make a simple contribution to point set topology given some of the very welcoming Zulip mathematicians. I used Claude Code to plan, review, and test some example definitions before raising this PR. I'm using this as a way to make meaningful contributions to mathlib4 as I learn Lean. Background: mathematics and a decade+ in ML engineering/applied science.
# Description
Add path-connectedness of binary products and dependent products (pi types):
- `JoinedIn.prod`, `IsPathConnected.prod`, and `instance Prod.instPathConnectedSpace : PathConnectedSpace (X × Y)`
- `JoinedIn.pi`, `IsPathConnected.pi`, and `instance Pi.instPathConnectedSpace : PathConnectedSpace (∀ i, Z i)`
These instances were previously missing — `inferInstance` failed for both `PathConnectedSpace (X × Y)` and `PathConnectedSpace ((i : ι) → Z i)`. They were suggested as good first contributions on Zulip.
The analogous `LocPathConnectedSpace` / `LocallyConnectedSpace` product and pi instances (and further `connectedComponent` / `pathComponent` product lemmas) are left for follow-up PRs.
|
t-topology
LLM-generated
new-contributor
|
59/0 |
Mathlib/Topology/Connected/PathConnected.lean |
1 |
3 |
['github-actions', 'korbonits'] |
PatrickMassot assignee:PatrickMassot |
2-912 2 days ago |
27-5131 27 days ago |
27-5830 27 days |
| 40144 |
astrainfinita author:astrainfinita |
perf: lower the priority of `Normed*.to*` instances |
This PR further lowers the priority of these instances, since lower instance priority usually means priority 100, whereas we want these instances to have an even lower priority.
Only one file got significantly slower from searching for AddCommMonoid ↥(Lp ?m 1 ?m') during unification. Lean tries AddSubgroupClass.toAddCommGroup and then gets stuck on the metavariables. Adding a shortcut instance for Lp resolves it directly and avoids any further search.
---
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|
t-analysis
t-algebra
maintainer-merge
label:t-algebra$ |
37/16 |
Mathlib/Analysis/Normed/Field/Basic.lean,Mathlib/Analysis/Normed/Group/Defs.lean,Mathlib/Analysis/Normed/Ring/Basic.lean,Mathlib/MeasureTheory/Function/LpSpace/Basic.lean |
4 |
6 |
['YaelDillies', 'astrainfinita', 'github-actions', 'leanprover-radar'] |
nobody |
1-83883 1 day ago |
25-77806 25 days ago |
25-77457 25 days |
| 41035 |
JovanGerb author:JovanGerb |
chore: fix some diamonds around `Lex`/`Colex` |
This PR fixes some instance diamonds found by the instance diamond linter (#38781)
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|
6/6 |
Mathlib/Combinatorics/Colex.lean,Mathlib/Data/DFinsupp/Lex.lean,Mathlib/Order/PiLex.lean |
3 |
3 |
['JovanGerb', 'github-actions', 'grunweg'] |
nobody |
1-82030 1 day ago |
2-67135 2 days ago |
2-66786 2 days |
| 40803 |
scholzhannah author:scholzhannah |
chore(Geometry/Manifold/MFDeriv/Basic): use custom elaborators |
As requested [here](https://github.com/leanprover-community/mathlib4/pull/40748#issuecomment-4741875703).
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|
t-differential-geometry |
273/358 |
Mathlib/Geometry/Manifold/MFDeriv/Basic.lean |
1 |
8 |
['github-actions', 'grunweg', 'mathlib-merge-conflicts', 'scholzhannah'] |
grunweg assignee:grunweg |
1-81515 1 day ago |
1-82086 1 day ago |
4-15633 4 days |
| 38380 |
wrenna-robson author:wrenna-robson |
feat(Data/Set): add Set.diag API |
Introduces `Set.diag (s : Set α) : Set (α × α) = {(a, a) | a ∈ s}` as the set-level companion to `Set.offDiag`, mirroring the existing `Finset.diag` / `Finset.offDiag` pairing. The type-level `Set.diagonal : Type* → Set (α × α)` is retained unchanged; `diag_univ : (univ : Set α).diag = diagonal α` (`@[simp]`) keeps it canonical when the underlying set is `univ`.
Parallels to the existing `offDiag` API (`diag_mono`, `diag_nonempty`, `diag_eq_empty`, `diag_empty`, `diag_singleton`, `diag_subset_prod`, `diag_eq_sep_prod`, `diag_inter`, `diag_union`, `diag_insert`) plus bridges `diag_union_offDiag`, `disjoint_diag_offDiag`, `prod_sdiff_diag`, `prod_sdiff_offDiag`. Also `diag_eq_image`, `image_diag` (matching `Finset.image_diag`), `preimage_coe_coe_diag`, and `Finset.coe_diag`. Note `diag_union` and `diag_insert` are unconditional (no `Disjoint` / `a ∉ s` hypothesis).
To free the `diag_` prefix for the set sense, the existing lemmas about the diagonal *map* `fun x => (x, x)` are renamed with deprecation aliases:
`range_diag` → `range_diagMap`, `diag_preimage_prod` → `diagMap_preimage_prod`, `diag_preimage_prod_self` → `diagMap_preimage_prod_self`. `diag_image` and `preimage_coe_coe_diagonal` are marked `@[deprecated]`.
This PR was prepared with the assistance of Claude Opus. |
t-data
LLM-generated
|
117/20 |
Mathlib/Data/Finset/Prod.lean,Mathlib/Data/Set/Operations.lean,Mathlib/Data/Set/Prod.lean,Mathlib/MeasureTheory/MeasurableSpace/Constructions.lean,Mathlib/Topology/Compactness/Compact.lean,Mathlib/Topology/Compactness/Lindelof.lean,Mathlib/Topology/MetricSpace/Infsep.lean,Mathlib/Topology/NhdsSet.lean |
8 |
3 |
['github-actions', 'wrenna-robson'] |
Vierkantor assignee:Vierkantor |
1-79875 1 day ago |
1-82981 1 day ago |
65-76232 65 days |
| 41065 |
BryceT233 author:BryceT233 |
feat(Algebra/GroupWithZero/Associated): transfer `IsRelPrime` between associated elements |
This is a split of #41064 which adds lemmas transfering `IsRelPrime` property via associated elements.
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|
t-algebra label:t-algebra$ |
18/0 |
Mathlib/Algebra/GroupWithZero/Associated.lean |
1 |
1 |
['github-actions'] |
nobody |
1-79794 1 day ago |
1-82036 1 day ago |
1-81687 1 day |
| 41070 |
PatrickMassot author:PatrickMassot |
chore(LocalFrame): remove outdated sentence in module docstring |
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|
t-differential-geometry |
0/3 |
Mathlib/Geometry/Manifold/VectorBundle/LocalFrame.lean |
1 |
1 |
['github-actions'] |
nobody |
1-74159 1 day ago |
1-74684 1 day ago |
1-74335 1 day |
| 41071 |
tb65536 author:tb65536 |
chore(FieldTheory/IsGaloisGroup): move `mulEquivAlgEquiv` to ring theory folder |
The isomorphism `G ≃* Gal(B/A)` does not require Galois theory to be proved so it can be moved to the ring theory folder.
I also cleaned up some messed up variables left over from the file split.
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|
t-ring-theory
t-algebra
label:t-algebra$ |
17/19 |
Mathlib/FieldTheory/Galois/IsGaloisGroup.lean,Mathlib/RingTheory/IsGaloisGroup/Basic.lean |
2 |
1 |
['github-actions'] |
nobody |
1-73000 1 day ago |
1-73053 1 day ago |
1-72704 1 day |
| 40937 |
joelriou author:joelriou |
feat(CategoryTheory/Presentable): sharply smaller regular cardinals |
In this file, we introduce the predicate `Cardinal.SharplyLT`. Given two regular
cardinals `κ₁ < κ₂`, this condition can be described in different ways (a TFAE lemma will appear in a future PR). Here, we define it by saying that the category `CardinalDirectedPoset κ₁` is `κ₂`-accessible, and we show one of the implications for the future TFAE lemma.
(This PR also renames `CardinalFilteredPoset` as `CardinalDirectedPoset`.)
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t-category-theory |
386/43 |
Mathlib.lean,Mathlib/CategoryTheory/Presentable/CardinalDirectedPoset.lean,Mathlib/CategoryTheory/Presentable/SharplyLT/Basic.lean,Mathlib/SetTheory/Ordinal/Basic.lean |
4 |
18 |
['github-actions', 'joelriou', 'smorel394'] |
dagurtomas assignee:dagurtomas |
1-72608 1 day ago |
1-74230 1 day ago |
3-74157 3 days |
| 41061 |
FrankieNC author:FrankieNC |
feat(Algebra/Order/BigOperators): monotonicity of finite products |
# Summary
Add `Monotone.finsetProd` and `Antitone.finsetProd` (with `to_additive`, `Monotone.finsetSum`/`Antitone.finsetSum`): a finite product (resp. sum) of monotone (resp. antitone) functions is monotone (resp. antitone).
These are the finite-indexed generalisations of `Monotone.mul'`/`add`.
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t-algebra
brownian
easy
label:t-algebra$ |
14/0 |
Mathlib/Algebra/Order/BigOperators/Group/Finset.lean |
1 |
3 |
['CoolRmal', 'SnirBroshi', 'github-actions'] |
nobody |
1-69716 1 day ago |
2-28865 2 days ago |
2-28516 2 days |
| 40431 |
sgouezel author:sgouezel |
chore: fix non-reducible diamond in C^* algebras |
The following fails before the PR, succeeds after it
```
example : ((instCStarAlgebraSubtypeMemStarSubalgebraComplexElemental
x).toAlgebra : Algebra ℂ ↥(StarAlgebra.elemental ℂ x)) =
(StarAlgebra.elemental ℂ x).algebra := by
with_reducible_and_instances rfl
```
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t-algebra
tech debt
label:t-algebra$ |
1/0 |
Mathlib/Algebra/Ring/Subsemiring/Basic.lean |
1 |
10 |
['eric-wieser', 'github-actions', 'grunweg', 'leanprover-radar', 'mathlib-bors', 'sgouezel', 'themathqueen'] |
nobody |
1-69265 1 day ago |
18-37833 18 days ago |
18-37515 18 days |
| 40708 |
sgouezel author:sgouezel |
chore: fix nsmul and zsmul non-reducible diamond in SplittingField |
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|
t-algebra
tech debt
label:t-algebra$ |
3/1 |
Mathlib/FieldTheory/SplittingField/Construction.lean |
1 |
8 |
['eric-wieser', 'github-actions', 'leanprover-radar', 'sgouezel'] |
nobody |
1-68713 1 day ago |
1-69599 1 day ago |
10-67818 10 days |
| 41074 |
vlad902 author:vlad902 |
feat(RingTheory): a ring is nontrivial iff it has nontrivial Krull dimension |
---
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|
t-ring-theory |
15/4 |
Mathlib/Data/ENat/Basic.lean,Mathlib/RingTheory/KrullDimension/Basic.lean |
2 |
1 |
['github-actions'] |
nobody |
1-65414 1 day ago |
1-67322 1 day ago |
1-66973 1 day |
| 41073 |
vlad902 author:vlad902 |
feat(RingTheory): characterizing lemma for rings of infinite Krull dimension |
Show that the Krull dimension of a ring R is infinite if and only if it has ideals of unbounded height.
---
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|
t-ring-theory |
21/0 |
Mathlib/Data/ENat/Basic.lean,Mathlib/RingTheory/Ideal/Height.lean |
2 |
1 |
['github-actions'] |
nobody |
1-65278 1 day ago |
1-67572 1 day ago |
1-68151 1 day |
| 40863 |
joelriou author:joelriou |
feat(Algebra/Homology): the right derived functor `RF : D^+(C) ⥤ D^+(D)` |
If `F : C ⥤ D` is an additive functor between abelian categories, where `C` has enough injectives, we define the right derived functor `F.rightDerivedFunctorPlus : DerivedCategory.Plus C ⥤ DerivedCategory.Plus D` between the corresponding bounded below derived categories.
This definition follows from the fact that any functor from the homotopy category `K^+(C)` admits a right derived functor. In order to show this, we use the model category structure on bounded below cochain complexes in `C` #38850 and construct derivability structures on the category of bounded below cochain complexes and its homotopy category.
---
- [x] depends on: #40885
- [x] depends on: #40887
- [x] depends on: #40888
- [x] depends on: #40892
- [x] depends on: #40895
- [x] depends on: #40923
- [x] depends on: #40944
- [x] depends on: #40884
- [x] depends on: #40924
- [x] depends on: #41000
- [x] depends on: #41063
Dependency graph: https://jriou.org/tmp/right-derived.pdf
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|
t-category-theory
maintainer-merge
|
81/1 |
Mathlib.lean,Mathlib/Algebra/Homology/DerivedCategory/DerivabilityStructureInjectives.lean,Mathlib/Algebra/Homology/DerivedCategory/RightDerivedFunctorPlus.lean |
3 |
6 |
['chrisflav', 'github-actions', 'joelriou', 'mathlib-dependent-issues'] |
nobody |
1-64073 1 day ago |
1-64426 1 day ago |
1-64836 1 day |
| 40945 |
mcdoll author:mcdoll |
feat(MeasureTheory): use `IsApply` for `OuterMeasure` |
---
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|
t-measure-probability |
31/39 |
Mathlib/MeasureTheory/Measure/Map.lean,Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/MeasureTheory/OuterMeasure/Induced.lean,Mathlib/MeasureTheory/OuterMeasure/Operations.lean |
4 |
1 |
['github-actions'] |
nobody |
1-59836 1 day ago |
4-64221 4 days ago |
4-63872 4 days |
| 41057 |
Whysoserioushah author:Whysoserioushah |
chore(RepresentationTheory): remove some set_option backwards |
Removes several `set_option backward.defeqAttrib.useBackward true` / `set_option backward.isDefEq.respectTransparency false` workarounds in `Mathlib/RepresentationTheory`, replacing them with the `@[implicit_reducible]` attribute on the relevant functor definitions and simplifying a few proofs accordingly.
|
t-algebra label:t-algebra$ |
11/30 |
Mathlib/RepresentationTheory/Coinduced.lean,Mathlib/RepresentationTheory/Coinvariants.lean,Mathlib/RepresentationTheory/FiniteIndex.lean,Mathlib/RepresentationTheory/Induced.lean,Mathlib/RepresentationTheory/Invariants.lean,Mathlib/RepresentationTheory/Rep/Basic.lean |
6 |
4 |
['Whysoserioushah', 'github-actions', 'kbuzzard', 'leanprover-radar'] |
nobody |
1-59428 1 day ago |
2-31421 2 days ago |
2-31072 2 days |
| 41054 |
Whysoserioushah author:Whysoserioushah |
refactor(RepresentationTheory/Rep/Res): refactor resFunctor |
This PR refactors the definition of `resFunctor`, in the current master since the whole definition is an `abbrev`, everything is exposed and if one does `ext; simp` one of the possible outcome in the infoview would be
```
ofHom { toLinearMap := (Hom.hom ..).toLinearMap, isIntertwining' := ⋯ }
```
which is not helpful unfolds too much, this PR seals the `map` part of the functor to make it less transparent while keep the definition of `resFunctor` as an `abbrev` to maintain the full transparency on the underlying type.
---
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|
t-algebra label:t-algebra$ |
27/24 |
Mathlib/RepresentationTheory/Homological/GroupCohomology/Functoriality.lean,Mathlib/RepresentationTheory/Homological/GroupHomology/Functoriality.lean,Mathlib/RepresentationTheory/Induced.lean,Mathlib/RepresentationTheory/Invariants.lean,Mathlib/RepresentationTheory/Rep/Res.lean |
5 |
15 |
['Whysoserioushah', 'github-actions', 'kbuzzard', 'leanprover-radar', 'tb65536'] |
nobody |
1-58069 1 day ago |
2-33307 2 days ago |
2-34403 2 days |
| 40109 |
gasparattila author:gasparattila |
feat(Topology/Sets): separability of `(Nonempty)Compacts` |
---
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|
t-topology |
31/0 |
Mathlib/Topology/Sets/VietorisTopology.lean |
1 |
1 |
['github-actions'] |
PatrickMassot assignee:PatrickMassot |
1-57966 1 day ago |
1-58586 1 day ago |
26-74146 26 days |
| 40941 |
JX-Mo author:JX-Mo |
feat(RepresentationTheory): add stabilizers of vectors in representations |
Add Representation.stabilizer: the subgroup fixing a vector in a representation.
Provide basic lemmas for zero vectors, scalar multiples, sums, intertwining maps, and conjugations, as a first step toward smooth representations. Make representation-theoretic arguments use this specialized API instead of repeatedly unfolding the fixed-vector condition or routing through the more general MulAction stabilizer API. |
t-algebra
new-contributor
label:t-algebra$ |
70/0 |
Mathlib.lean,Mathlib/RepresentationTheory/Stabilizer.lean |
2 |
65 |
['JX-Mo', 'Whysoserioushah', 'github-actions', 'tb65536'] |
nobody |
1-57640 1 day ago |
1-58172 1 day ago |
1-66816 1 day |
| 41080 |
sgouezel author:sgouezel |
feat: vector measures with density wrt vector measures |
---
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|
t-measure-probability |
398/0 |
Mathlib.lean,Mathlib/MeasureTheory/VectorMeasure/WithDensityVec.lean |
2 |
1 |
['github-actions'] |
nobody |
1-55897 1 day ago |
1-57024 1 day ago |
1-56675 1 day |
| 41081 |
JX-Mo author:JX-Mo |
feat(RepresentationTheory): add Subrepresentation.toRepresentation_apply and Subrepresentation.quotient |
Add a lemma for Subrepresentation recording the inherited group action. Help avoid unfold Subrepresentation.toRepresentation.
Add the quotient representation associated to a subrepresentaiton. It wraps up Representation.quotient and Representation.Subrepresentation. Help avoid writing down explicitly the stability condition required in Representation.quotient.
|
t-algebra
new-contributor
label:t-algebra$ |
23/0 |
Mathlib/RepresentationTheory/Subrepresentation.lean |
1 |
5 |
['JX-Mo', 'Whysoserioushah', 'github-actions'] |
nobody |
1-52087 1 day ago |
1-56323 1 day ago |
1-55974 1 day |
| 41072 |
Whysoserioushah author:Whysoserioushah |
feat(RepresentationTheory/Rep): add instances and APIs |
---
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|
t-algebra label:t-algebra$ |
163/21 |
Mathlib/RepresentationTheory/Intertwining.lean,Mathlib/RepresentationTheory/Rep/Basic.lean,Mathlib/RepresentationTheory/Rep/Iso.lean,Mathlib/RepresentationTheory/Rep/Res.lean,Mathlib/RepresentationTheory/Subrepresentation.lean |
5 |
4 |
['Whysoserioushah', 'github-actions', 'kbuzzard'] |
nobody |
1-51442 1 day ago |
1-52128 1 day ago |
1-66480 1 day |
| 38483 |
jessealama author:jessealama |
feat(Algebra): finset sums of antiperiodic functions |
Three lemmas about `Finset` sums of `Function.Antiperiodic` functions: `sum_map_addRightEmbedding` says that for `f` antiperiodic with antiperiod `c`, summing `f` over a `Finset` shifted by `c` (via `addRightEmbedding c`) negates the sum over the original; `sum_Ico_shift` is the half-open-interval specialization, immediate via `Finset.map_add_right_Ico`; and `sum_Ico_mul_add_sum_Ico_mul_shift_eq_zero` is a bilinear cancellation variant. The first lives in `Mathlib.Algebra.Ring.Periodic`; the interval lemmas are in the new file `Mathlib.Algebra.BigOperators.Periodic`. Spun off from #29713 (Euler-Poincaré formula), where the bilinear form is used.
---
- [ ] depends on: #40669 |
t-algebra label:t-algebra$ |
51/0 |
Mathlib.lean,Mathlib/Algebra/BigOperators/Periodic.lean |
2 |
18 |
['github-actions', 'j-loreaux', 'jessealama', 'mathlib-dependent-issues', 'mathlib-splicebot', 'themathqueen', 'wwylele'] |
themathqueen assignee:themathqueen |
1-48252 1 day ago |
1-66771 1 day ago |
53-69661 53 days |
| 40725 |
dennj author:dennj |
chore(SetTheory/Ordinal): execute deprecation TODOs |
This PR resolves several ordinal deprecation TODOs by making the `add_one` spelling primary over the older `succ`-spelled theorem names.
It deprecates the old names, rewires Mathlib uses to the new names, and renames `Cardinal.noMaxOrder` to the more precise `Cardinal.noMaxOrder_ord_toType`. The old deprecated names are no longer used internally.
Code clean up in Ordinal.Notation |
t-set-theory |
118/148 |
Mathlib/CategoryTheory/Presentable/Directed.lean,Mathlib/CategoryTheory/Presentable/OrthogonalReflection.lean,Mathlib/CategoryTheory/SmallObject/IsCardinalForSmallObjectArgument.lean,Mathlib/FieldTheory/CardinalEmb.lean,Mathlib/SetTheory/Ordinal/Arithmetic.lean,Mathlib/SetTheory/Ordinal/Basic.lean,Mathlib/SetTheory/Ordinal/Exponential.lean,Mathlib/SetTheory/Ordinal/FixedPoint.lean,Mathlib/SetTheory/Ordinal/Notation.lean,Mathlib/SetTheory/Ordinal/Principal.lean,Mathlib/SetTheory/Ordinal/Univ.lean,Mathlib/SetTheory/Ordinal/Veblen.lean |
12 |
12 |
['dennj', 'github-actions', 'plp127', 'vihdzp'] |
nobody |
1-48148 1 day ago |
9-47055 9 days ago |
10-21107 10 days |
| 40156 |
JovanGerb author:JovanGerb |
perf: reduce priority of `DivisionSemiring.toSemiring` |
This PR reduces the priority of `DivisionSemiring.toSemiring`. This is relevant because a lot of type class search starts at `Semiring`, so we need to ensure that the instances that apply to `Semiring` are tried in a sensible order. In particular, this will now prefer `CommSemiring.toSemiring`.
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|
t-algebra label:t-algebra$ |
18/15 |
Mathlib/Algebra/Field/Defs.lean,Mathlib/Algebra/Quaternion.lean,Mathlib/Analysis/Calculus/ContDiff/Defs.lean,Mathlib/Analysis/Calculus/FDeriv/Add.lean,Mathlib/FieldTheory/SeparableClosure.lean,Mathlib/RingTheory/Etale/Field.lean,Mathlib/RingTheory/QuasiFinite/Polynomial.lean,MathlibTest/GalNotation.lean,MathlibTest/Tactic/Ring/Ring.lean |
9 |
8 |
['JovanGerb', 'github-actions', 'kbuzzard', 'leanprover-radar', 'themathqueen'] |
themathqueen assignee:themathqueen |
1-47962 1 day ago |
23-51653 23 days ago |
23-53069 23 days |
| 39139 |
or4nge19 author:or4nge19 |
feat(LinearAlgebra): Schur triangulation |
Adds Schur triangulation API for algebraically closed `RCLike`, proved by triangularizing an endomorphism, aiming at a more mathlib idiomatic approach than the original one in #20730 as it now (better) specializes the existing triangularization API and generalizes supporting lemmas in more natural places. A prerequisite for porting `Matrix.det_exp` proof from physlib.
It also proves half of existing TODO in Eigenspace.Triangularizable. It may need a split into 2 PRs and coordination with #37006 .
See [this](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Contribute.20Schur.20decomposition/with/532385359) and [this](https://leanprover.zulipchat.com/#narrow/channel/113489-new-members/topic/.28Matrix.20and.20NormedSpace.2Eexp.29.20.7C.20det.20.28exp.20A.29.20.3D.20exp.20.28trace.20A.29/with/581264603) zulip discussions.
Co-authored-by: [kuotsanhsu](https://github.com/kuotsanhsu) <learningstud@gmail.com>
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|
large-import |
687/75 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/GramSchmidtOrtho.lean,Mathlib/Analysis/InnerProductSpace/Triangularizable.lean,Mathlib/LinearAlgebra/Basis/Fin.lean,Mathlib/LinearAlgebra/Basis/Flag.lean,Mathlib/LinearAlgebra/Eigenspace/Basic.lean,Mathlib/LinearAlgebra/Eigenspace/Triangularizable.lean,Mathlib/LinearAlgebra/Matrix/Block.lean,Mathlib/LinearAlgebra/Matrix/Charpoly/Basic.lean,Mathlib/LinearAlgebra/Matrix/SchurTriangulation.lean |
10 |
6 |
['dagurtomas', 'github-actions', 'or4nge19', 'themathqueen', 'wwylele'] |
nobody |
1-47686 1 day ago |
1-47686 1 day ago |
10-80600 10 days |
| 41060 |
FrankieNC author:FrankieNC |
feat(Algebra/Order/Module): monotonicity of scalar multiplication |
# Summary
Add the `const_smul`/`smul_const` family of monotonicity lemmas in `Algebra/Order/Module/Defs`: left/right scalar multiplication by a nonnegative (resp. positive) element preserves (anti/strict)tonicity.
* `Monotone.const_smul`, `Antitone.const_smul`, `StrictMono.const_smul`,
`StrictAnti.const_smul` (`a • f x`, `PosSMulMono`/`PosSMulStrictMono`)
* `Monotone.smul_const`, `Antitone.smul_const`, `StrictMono.smul_const`,
`StrictAnti.smul_const` (`f x • b`, `SMulPosMono`/`SMulPosStrictMono`)
These are the `smul` analogues of the existing `Monotone.const_mul`/ `mul_const` family, proved by composing with `monotone_smul_left_of_nonneg`/ `monotone_smul_right_of_nonneg` (and their strict counterparts).
---
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|
t-algebra
brownian
easy
label:t-algebra$ |
40/0 |
Mathlib/Algebra/Order/Module/Defs.lean |
1 |
3 |
['CoolRmal', 'FrankieNC', 'github-actions'] |
nobody |
1-41895 1 day ago |
2-29403 2 days ago |
2-29054 2 days |
| 41077 |
tb65536 author:tb65536 |
chore(RingTheory/Ideal/Norm/RelNorm): switch over to new definitions of `ramificationIdx` and `inertiaDeg` |
This PR switches the file `RingTheory/Ideal/Norm/RelNorm.lean` over to the new definitions of `ramificationIdx` and `inertiaDeg`.
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|
t-ring-theory
t-algebra
large-import
label:t-algebra$ |
34/22 |
Mathlib/RingTheory/DedekindDomain/Factorization.lean,Mathlib/RingTheory/Ideal/Norm/RelNorm.lean,Mathlib/RingTheory/RamificationInertia/Ramification.lean |
3 |
1 |
['github-actions'] |
nobody |
1-41708 1 day ago |
1-41761 1 day ago |
1-41414 1 day |
| 40788 |
FrankieNC author:FrankieNC |
feat: uniformly integrable Lᵖ tails tend to 0 uniformly |
Adds `UniformIntegrable.tendsto_iSup_eLpNorm_indicator_atTop`: for a uniformly
integrable family `f`,
Tendsto (fun M ↦ ⨆ i, eLpNorm ({x | M ≤ ‖f i x‖₊}.indicator (f i)) p μ) atTop (𝓝 0).
This is the `Tendsto` companion to the existing `UniformIntegrable.spec`, which only
provides, for each `ε`, a single threshold `C`.
This is the form that arises when truncating an L¹/Lᵖ family at increasing norm
levels — e.g. vector-valued truncation / Komlós-type arguments — where the existing
ProbabilityTheory.truncation does not apply, being real- and order-interval-valued.
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|
t-measure-probability
brownian
|
122/5 |
Mathlib/MeasureTheory/Function/UniformIntegrable.lean |
1 |
14 |
['CoolRmal', 'FrankieNC', 'github-actions'] |
FrankieNC and kex-y assignee:kex-y assignee:FrankieNC |
1-40652 1 day ago |
6-27834 6 days ago |
9-28147 9 days |
| 41009 |
chrisflav author:chrisflav |
feat(CategoryTheory/Limits): morphisms between filtered limits are initially level-wise |
---
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[](https://gitpod.io/from-referrer/)
|
t-category-theory |
145/0 |
Mathlib.lean,Mathlib/CategoryTheory/Limits/ConstructLimitMap.lean,Mathlib/CategoryTheory/Limits/Final.lean |
3 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
1-25968 1 day ago |
1-27058 1 day ago |
1-26709 1 day |
| 41016 |
yuanyi-350 author:yuanyi-350 |
chore: change def of `toAlgHom` from `f` to `toRingHom f` |
Following the guidance in #31365 and this [Zulip thread](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Mathlib.27s.20morphism.20hierarchy/near/554383157), I'm attempting to replace RingHomClass.toRingHom with structure-specific coercions. Extracted from #40793.
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|
t-algebra label:t-algebra$ |
3/1 |
Mathlib/Algebra/Algebra/Hom.lean |
1 |
2 |
['github-actions', 'themathqueen', 'yuanyi-350'] |
nobody |
1-24446 1 day ago |
3-18433 3 days ago |
3-18084 3 days |
| 30526 |
SnirBroshi author:SnirBroshi |
chore(Logic/Relation): use `≤` to spell subrelation |
Replace every `∀ x y, r x y → r' x y` with `r ≤ r'`
---
NOTE: this PR began as an effort to use `Subrelation` since `≤` wasn't available in this file, but it was agreed on [Zulip](https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/.2330526.20use.20Subrelation.20in.20Mathlib.2ELogic.2ERelation/with/546572676) to instead make `≤` available there.
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|
t-logic |
88/85 |
Mathlib/CategoryTheory/IsConnected.lean,Mathlib/CategoryTheory/Limits/Types/Coequalizers.lean,Mathlib/CategoryTheory/Limits/Types/Filtered.lean,Mathlib/Computability/StateTransition.lean,Mathlib/Computability/TuringMachine/StackTuringMachine.lean,Mathlib/Computability/TuringMachine/ToPartrec.lean,Mathlib/GroupTheory/FreeGroup/Basic.lean,Mathlib/Logic/Relation.lean,Mathlib/Order/Interval/Finset/Basic.lean,Mathlib/Order/WellFoundedSet.lean,Mathlib/Topology/Gluing.lean |
11 |
49 |
['SnirBroshi', 'Vierkantor', 'eric-wieser', 'github-actions', 'joneugster', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'plp127', 'thorimur', 'vihdzp'] |
Vierkantor and joneugster assignee:Vierkantor assignee:joneugster |
1-24305 1 day ago |
2-56917 2 days ago |
97-44732 97 days |
| 40793 |
yuanyi-350 author:yuanyi-350 |
refactor(Algebra): replace `RingHomClass.toRingHom` by structure-specific coercions |
Following the guidance in [#31365](https://github.com/leanprover-community/mathlib4/issues/31365) and this [Zulip thread](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Mathlib.27s.20morphism.20hierarchy/near/554383157), I'm attempting to replace RingHomClass.toRingHom with structure-specific coercions.
At this point, we just need to fill in the remaining 10 sorrys, and we can finally clear out this technical debt!
- [ ] depends on #40833
- [ ] depends on #40834
- [ ] depends on #40837
- [ ] depends on #40838
- [ ] depends on #40991
---
[](https://gitpod.io/from-referrer/)
|
t-algebra
tech debt
label:t-algebra$ |
128/121 |
Mathlib/Algebra/Algebra/Equiv.lean,Mathlib/Algebra/Algebra/Hom.lean,Mathlib/Algebra/Algebra/Spectrum/Basic.lean,Mathlib/Algebra/MvPolynomial/Equiv.lean,Mathlib/Algebra/Order/Hom/Ring.lean,Mathlib/Algebra/Ring/Equiv.lean,Mathlib/Algebra/Ring/Hom/Defs.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Functor.lean,Mathlib/Data/Int/Cast/Lemmas.lean,Mathlib/Data/Rat/Cast/Defs.lean,Mathlib/FieldTheory/RatFunc/IntermediateField.lean,Mathlib/GroupTheory/GroupAction/Hom.lean,Mathlib/NumberTheory/NumberField/Basic.lean,Mathlib/NumberTheory/RamificationInertia/Inertia.lean,Mathlib/NumberTheory/RamificationInertia/Ramification.lean,Mathlib/RingTheory/Algebraic/Basic.lean,Mathlib/RingTheory/AlgebraicIndependent/Basic.lean,Mathlib/RingTheory/Bialgebra/Equiv.lean,Mathlib/RingTheory/Extension/Generators.lean,Mathlib/RingTheory/Extension/Presentation/Basic.lean,Mathlib/RingTheory/GradedAlgebra/RingHom.lean,Mathlib/RingTheory/Ideal/Maps.lean,Mathlib/RingTheory/IntegralClosure/IsIntegral/Basic.lean,Mathlib/RingTheory/LocalProperties/Basic.lean,Mathlib/RingTheory/LocalRing/RingHom/Basic.lean,Mathlib/RingTheory/Localization/Basic.lean,Mathlib/RingTheory/NoetherNormalization.lean,Mathlib/RingTheory/RingHomProperties.lean,Mathlib/RingTheory/Spectrum/Prime/ChevalleyComplexity.lean,Mathlib/RingTheory/SurjectiveOnStalks.lean,Mathlib/RingTheory/TensorProduct/Finite.lean,Mathlib/Topology/Algebra/Algebra.lean |
32 |
2 |
['github-actions', 'themathqueen'] |
nobody |
1-22786 1 day ago |
3-72840 3 days ago |
3-81910 3 days |
| 37745 |
AntoineChambert-Loir author:AntoineChambert-Loir |
feat(RingTheory/AugmentationIdeal): base change for augmentation ideals |
Base change for augmentation ideals
Co-authored with: @mariainesdff
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory
t-algebra
large-import
label:t-algebra$ |
441/1 |
Mathlib.lean,Mathlib/Algebra/Algebra/Hom.lean,Mathlib/Algebra/Algebra/Subalgebra/Basic.lean,Mathlib/Algebra/Module/Submodule/Range.lean,Mathlib/LinearAlgebra/Projection.lean,Mathlib/LinearAlgebra/Span/Defs.lean,Mathlib/LinearAlgebra/TensorProduct/Projection.lean,Mathlib/LinearAlgebra/TensorProduct/RightExactness.lean,Mathlib/LinearAlgebra/TensorProduct/Submodule.lean,Mathlib/Order/Disjoint.lean,Mathlib/RingTheory/Ideal/IsAugmentation.lean,Mathlib/RingTheory/TensorProduct/Basic.lean |
12 |
18 |
['AntoineChambert-Loir', 'dagurtomas', 'github-actions', 'mathlib-dependent-issues'] |
mariainesdff assignee:mariainesdff |
1-21150 1 day ago |
43-70727 43 days ago |
44-44354 44 days |
| 40241 |
AydenLamp author:AydenLamp |
feat(Algebra/Group): add ppow_succ lemmas and idempotent power results for finite semigroups |
Add two successor lemmas to `PNatPowAssoc`:
- `ppow_succ`: `x ^ (n + 1) = x ^ n * x`
- `ppow_succ'`: `x ^ (n + 1) = x * x ^ n`
Add `SemigroupIdempotentPow` with results on idempotent elements in finite semigroups and monoids:
- `Semigroup.exists_idempotent_ppow`: in a finite semigroup, every element has an idempotent positive power
- `Monoid.exists_idempotent_pow`: in a finite monoid, every element has a nonzero idempotent power
- `Monoid.exists_pow_sandwich_eq_self`: in a finite monoid, if `a = x * a * y`, then there exist positive powers `n₁` and `n₂` such that `x ^ n₁ * a = a` and `a * y ^ n₂ = a`
Co-authored-by: Howard Straubing <howard.straubing@bc.edu>
Co-authored-by: Soleil Repple <repple@bc.edu>
Co-authored-by: Nathan Hart-Hodgson <harthodg@bc.edu>
---
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
157/2 |
Mathlib.lean,Mathlib/Algebra/Group/PNatPowAssoc.lean,Mathlib/Algebra/Group/SemigroupIdempotentPow.lean |
3 |
3 |
['github-actions'] |
mattrobball assignee:mattrobball |
1-21150 1 day ago |
23-37487 23 days ago |
23-37138 23 days |
| 40250 |
mcdoll author:mcdoll |
feat(Dynamics): add `Homeomorph.flow` |
Define the discrete flow by iterating a homeomorphism.
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[](https://gitpod.io/from-referrer/)
|
t-dynamics |
29/0 |
Mathlib/Dynamics/Flow.lean |
1 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
ADedecker assignee:ADedecker |
1-21148 1 day ago |
5-80179 5 days ago |
5-79830 5 days |
| 40573 |
goliath-klein author:goliath-klein |
chore(PiTensorProduct/ProjectiveNorm): cleaner reducible defeqs |
This PR replaces `projectiveSeminorm x` by `‖x‖` in the definitions of `toDualContinuousMultilinearMap`, `toDualContinuousMultilinearMap_le_projectiveSeminorm`, and `projectiveSeminorm_tprod_le`. The two terms are defeq, but not at reducible transparency. The new definition allows us to get rid of a `convert!` and a `using!`, and is more consistent with the rest of the module.
---
Remarks:
* Originally, this PR also fixed an instance diamond. But the same issue was addressed in #40452, which got merged first. See also discussion at #35569.
* The PR also _adds_ a `using!`, but in a deprecated definition.
- [x] depends on: #35569
Co-authored-by: Davood H. T. Tehrani
[](https://gitpod.io/from-referrer/)
|
t-analysis
new-contributor
easy
|
13/13 |
Mathlib/Analysis/Normed/Module/PiTensorProduct/InjectiveSeminorm.lean,Mathlib/Analysis/Normed/Module/PiTensorProduct/ProjectiveSeminorm.lean |
2 |
10 |
['eric-wieser', 'github-actions', 'goliath-klein', 'mathlib-dependent-issues'] |
j-loreaux assignee:j-loreaux |
1-21148 1 day ago |
9-46305 9 days ago |
9-62491 9 days |
| 40721 |
teorth author:teorth |
feat(Analysis/Complex/ExponentialBounds): add log 4 and log 10 lemmas |
---
Adds two small lemmas `log_four_eq` and `log_ten_eq` to `Analysis/Complex/ExponentialBounds.lean`, which decomposes `log 4` and `log 10` into `2 * log 2` and `log 2 + log 5` respectively. This plays well with the existing lemmas in this file which provide various high precision bounds on `log 2` and `log 5`. For instance, one can now conclude high precision bounds on `log 10` via `linarith`.
One could of course make similar lemmas for `log 6`, `log 8`, `log 9`, `log 12`, `log 16`, `log 20`, etc., but I believe these two logarithms of composite numbers will be the most commonly used ones (the latter due to conversion between natural logarithms and base ten logarithms).
[](https://gitpod.io/from-referrer/)
|
t-analysis
new-contributor
|
5/0 |
Mathlib/Analysis/Complex/ExponentialBounds.lean |
1 |
5 |
['github-actions', 'themathqueen'] |
ADedecker assignee:ADedecker |
1-21147 1 day ago |
10-45103 10 days ago |
10-52637 10 days |
| 40743 |
roos-j author:roos-j |
chore(Analysis/Calculus): generalize `HasDerivWithinAt.inv` etc |
---
Generalize `c : 𝕜 → 𝕜` to `c : 𝕜 → 𝕜'` in `HasDerivWithinAt.inv` and similar lemmas, matching the generality of `HasDerivWithinAt.div` etc.
This is completely for free, no proofs are changed and statements are strictly more general.
Following suggestion here: https://github.com/leanprover-community/mathlib4/pull/39406#discussion_r3424376166 |
t-analysis
easy
new-contributor
|
2/1 |
Mathlib/Analysis/Calculus/Deriv/Inv.lean |
1 |
7 |
['eric-wieser', 'github-actions', 'jjdishere', 'roos-j'] |
j-loreaux assignee:j-loreaux |
1-21146 1 day ago |
9-82331 9 days ago |
10-11333 10 days |
| 40811 |
sgouezel author:sgouezel |
feat: linear map from `L^p (mu)` to `L^p (nu)` when `nu` is bounded by a multiple of `mu` |
---
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|
t-measure-probability |
106/7 |
Mathlib/Analysis/Normed/Group/Continuity.lean,Mathlib/Analysis/Normed/Operator/Bilinear.lean,Mathlib/Analysis/Normed/Operator/Mul.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Basic.lean,Mathlib/MeasureTheory/Function/LpSpace/Basic.lean |
5 |
2 |
['github-actions', 'sgouezel'] |
EtienneC30 assignee:EtienneC30 |
1-21145 1 day ago |
8-60549 8 days ago |
8-60233 8 days |
| 40951 |
xroblot author:xroblot |
feat(NumberTheory/NumberField/Discriminant): add `not_dvd_discr_iff_isUnramifiedIn` |
A prime `p` does not divide `discr K` if and only if `p` is unramified in the ring of integers, phrased using the `Algebra.IsUnramifiedIn` predicate.
This complements the existing `not_dvd_discr_iff_forall_liesOver` and `not_dvd_discr_iff_forall_mem`.
|
t-number-theory |
14/0 |
Mathlib/NumberTheory/NumberField/Discriminant/Different.lean |
1 |
1 |
['github-actions'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
1-21144 1 day ago |
3-66817 3 days ago |
3-67161 3 days |
| 40983 |
khwilson author:khwilson |
feat: lemmas to support F-space open mapping theorem |
In order to generalize the Banach open mapping theorem to a generic F-space, we need several leamms about balanced and absorbent sets in more arbitrary spaces. In particular, we need some key lemmas such as:
- A closed absorbent set in a Baire space with countably generated cobounded filter has nonempty interior
- A topological vector space has a basis of neighborhoods about 0 consisting of balanced sets
AI Disclosure: Generated by Claude Code with specific prompts from me and edits by me.
---
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|
t-topology
LLM-generated
|
126/11 |
Mathlib.lean,Mathlib/Analysis/LocallyConvex/AbsConvex.lean,Mathlib/Analysis/LocallyConvex/BalancedCoreHull.lean,Mathlib/Analysis/LocallyConvex/Basic.lean,Mathlib/Topology/Algebra/Group/Pointwise.lean,Mathlib/Topology/Baire/Absorbent.lean,Mathlib/Topology/Bornology/Absorbs.lean,Mathlib/Topology/MetricSpace/Bounded.lean |
8 |
2 |
['felixpernegger', 'github-actions'] |
scholzhannah assignee:scholzhannah |
1-21142 1 day ago |
4-13021 4 days ago |
4-12918 4 days |
| 40995 |
WilliamCoram author:WilliamCoram |
feat: epsilon dense implies dense |
We follow BGR - Nonarchimedean analysis and introduce the definition of a subgroup being epsilon dense. Then prove this implies dense (Prop 1.1.4./2)
---
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[](https://gitpod.io/from-referrer/)
|
t-topology |
71/0 |
Mathlib.lean,Mathlib/Topology/Algebra/EpsilonDense.lean,Mathlib/Topology/MetricSpace/HausdorffDistance.lean |
3 |
1 |
['github-actions'] |
scholzhannah assignee:scholzhannah |
1-21141 1 day ago |
3-61112 3 days ago |
3-63351 3 days |
| 41021 |
joelriou author:joelriou |
feat(CategoryTheory/Monoidal): functors that are isomorphic to lax/oplax/monoidal functors also are |
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[](https://gitpod.io/from-referrer/)
|
t-category-theory |
86/0 |
Mathlib/CategoryTheory/Monoidal/Functor.lean |
1 |
1 |
['github-actions'] |
dagurtomas assignee:dagurtomas |
1-21140 1 day ago |
2-79809 2 days ago |
2-79460 2 days |
| 41046 |
Whysoserioushah author:Whysoserioushah |
feat(CategoryTheory/EpiMono): add cube lemma |
This is another upstreaming PR originated from the [CFT](https://github.com/kbuzzard/ClassFieldTheory) repo, it's a collaborative work from 2025 Clay Summer School on Formalizing Class Field Theory.
---
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[](https://gitpod.io/from-referrer/)
|
CFT
t-category-theory
|
39/0 |
Mathlib/CategoryTheory/EpiMono.lean |
1 |
13 |
['Whysoserioushah', 'attilavjda', 'github-actions', 'kbuzzard', 'tb65536'] |
dagurtomas assignee:dagurtomas |
1-21139 1 day ago |
2-23336 2 days ago |
2-30199 2 days |
| 41075 |
smorel394 author:smorel394 |
feat(CategoryTheory/Limits/WeakLimits): weak limits |
Define weak limits and add some minimal API for them. Also consider the special cases of weak equalizers, weak kernels and weak pullbacks. Prove that a category with weak equalizers and pullbacks has weak pullbacks, and that a preadditive category has weak equalizers if and only if it has weak kernels.
If `F : J ⥤ C` is a functor and `c : Cone F`, we say that `c` is a weak limit of `F` if every cone over `F` admits a (not necessarily unique) morphism to `c`. In other words, a weak limit satisfies the same "versal property" as a limit, without the uniqueness condition. In particular, weak limits are not unique, and they are not functorial.
TODO:
* Prove that a triangulated category has weak kernels.
* If `C` is an additive category with weak limits, then its cokernel completion (also TODO) is an abelian category.
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|
t-category-theory |
742/0 |
Mathlib.lean,Mathlib/CategoryTheory/Limits/WeakLimits/Basic.lean,Mathlib/CategoryTheory/Limits/WeakLimits/WeakEqualizers.lean,Mathlib/CategoryTheory/Limits/WeakLimits/WeakKernels.lean,Mathlib/CategoryTheory/Limits/WeakLimits/WeakPullbacks.lean |
5 |
1 |
['github-actions'] |
dagurtomas assignee:dagurtomas |
1-21138 1 day ago |
1-65547 1 day ago |
1-65659 1 day |
| 41088 |
Brian-Nugent author:Brian-Nugent |
feat(Topology): sheafRestrict is a right adjoint |
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|
t-topology |
5/0 |
Mathlib/Topology/Sheaves/Over.lean |
1 |
1 |
['github-actions'] |
scholzhannah assignee:scholzhannah |
1-21137 1 day ago |
1-47379 1 day ago |
1-47030 1 day |
| 38310 |
ZRTMRH author:ZRTMRH |
feat(Combinatorics/Quiver/Schreier): word evaluation and reachability |
Adds word evaluation and reachability results to the Schreier graph API.
* `SchreierGraph.evalWord` : evaluates a word `List (S × Bool)` as an element of the ambient group, where `(s, true)` contributes `ι s` and `(s, false)` contributes `(ι s)⁻¹`.
* `SchreierGraph.evalWord_eq_lift` : agreement with `FreeGroup.lift`.
* `SchreierGraph.evalWord_mem_closure` : every word evaluates into the subgroup generated by `ι`.
* `SchreierGraph.pathFromWord` : a Bool-tagged word yields a path in `Symmetrify (SchreierGraph V ι)` from `x` to `evalWord ι w • x`.
* `SchreierGraph.reachable_iff` : two vertices are connected by a path in the symmetrification iff some element of the subgroup closure carries one to the other.
Follow-up to #36320.
This PR was written with AI assistance (Claude). The code has been reviewed by the author.
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|
new-contributor
t-combinatorics
large-import
LLM-generated
|
157/0 |
Mathlib/Combinatorics/Quiver/Schreier.lean |
1 |
2 |
['github-actions'] |
nobody |
1-20248 1 day ago |
68-39117 68 days ago |
68-38768 68 days |
| 38325 |
Jun2M author:Jun2M |
feat(Combinatorics/Graph): EndPoint function |
This PR introduces `endPoints`: `Set` of incident vertices, given an edge (in the case of non-edge, return empty).
**Import change**: `Graph/Basic` now imports `Data/Set/Card` to allow reasoning about card of `endPoints`.
[Relavent Zulip thread](https://leanprover.zulipchat.com/#narrow/channel/513188-CSLib/topic/New.20graph.20definitions/with/588616269)
---
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|
t-combinatorics
large-import
|
83/3 |
Mathlib/Combinatorics/Graph/Basic.lean |
1 |
9 |
['Jun2M', 'SnirBroshi', 'eric-wieser', 'github-actions', 'mathlib-bors'] |
nobody |
1-20248 1 day ago |
66-33145 66 days ago |
68-2739 68 days |
| 40628 |
FernandoChu author:FernandoChu |
feat(CategoryTheory): pseudofunctors preserve adjunctions |
|
t-category-theory
LLM-generated
large-import
maintainer-merge
|
66/7 |
Mathlib/CategoryTheory/Bicategory/Adjunction/Basic.lean,Mathlib/CategoryTheory/Bicategory/Functor/Prelax.lean |
2 |
6 |
['FernandoChu', 'dagurtomas', 'github-actions'] |
nobody |
1-20247 1 day ago |
11-75584 11 days ago |
12-65304 12 days |
| 33112 |
alreadydone author:alreadydone |
feat(GroupAction): `(M →[M] M) ≃* Mᵐᵒᵖ` |
This comes up in #33108 in the form that permutations of a group commuting with the left multiplications are the right multiplications.
The Semiring versions are already in mathlib.
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|
t-algebra
t-group-theory
label:t-algebra$ |
41/3 |
Mathlib/GroupTheory/GroupAction/Hom.lean |
1 |
3 |
['alreadydone', 'github-actions', 'robin-carlier'] |
nobody |
1-20246 1 day ago |
22-38339 22 days ago |
36-727 36 days |
| 39472 |
NoahW314 author:NoahW314 |
feat(RingTheory/MvPolynomial/Homogeneous): add homogeneous lemmas |
---
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|
t-ring-theory
large-import
|
74/2 |
Mathlib/Data/Finsupp/Weight.lean,Mathlib/RingTheory/MvPolynomial/Homogeneous.lean,Mathlib/RingTheory/MvPolynomial/WeightedHomogeneous.lean |
3 |
1 |
['github-actions'] |
nobody |
1-20244 1 day ago |
42-41041 42 days ago |
42-40886 42 days |
| 41091 |
teorth author:teorth |
feat: tag the pointwise MeasureTheory operation families with to_fun |
---
This is the `MeasureTheory` follow-up to #40872, which converted the analogous `Continuous` / `ContDiff` families.
Several `fun_prop` lemma families about pointwise operations on measurable functions existed only in **eta-expanded** form (`Measurable (fun a => f a * g a)`), so `fun_prop` could not close the corresponding **point-free** goal (`Measurable (f * g)`); and several already-point-free `(AE)StronglyMeasurable` lemmas had no eta twin at all. This PR restates/re-tags those families point-free and tags them with `@[to_fun (attr := …)]`, which regenerates the eta twin (`fun_mul`, `fun_div`, `fun_sup`, …). Both forms then carry `fun_prop`, mirroring the existing `Measurable.inv` setup, so `fun_prop` now matches goals in either shape.
In several cases (e.g., `AEMeasurable..{mul',add',div',sub'}`), an eta twin already existed under a different name; these variants are deprecated in this PR in favor of the standardized `fun_...` version.
Because of the name change of the eta version, a handful of downstream invocations of these theorems have their name changed slightly (e.g., `.mul` becomes `.fun_mul`). In every case this was a mechanical change; unlike #40872 there were no `fun_prop` regressions or genuinely non-mechanical edge cases this time.
For further discussion, see [this Zulip thread](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Should.20one.20to_fun.20various.20fun_prop.20lemmas.3F).
This PR was prepared by an AI agent, guided by myself. In particular the summary text in this comment was initially generated by AI and then edited by myself.
---
### Families converted
- `Measurable` / `AEMeasurable` `.mul`, `.div`, `.smul` (`MeasureTheory/Group/Arithmetic`) and `.sup`, `.inf` (`MeasureTheory/Order/Lattice`);
- the `(AE)StronglyMeasurable` arithmetic layer: `.mul`, `.div`(`'`), `.pow`, `.inv`, `.inv₀`, `.smul`, `.const_smul`, `.sup`, `.inf` (with their `to_additive` twins where applicable).
Most `(AE)StronglyMeasurable` lemmas were already stated point-free and only needed the `@[to_fun]` tag added; the binary `Measurable`/`AEMeasurable` lemmas and `(AE)StronglyMeasurable.smul` were restated eta → point-free (definitionally equal to the old statement, so their proofs are unchanged).
Note for reviewers: there was concern expressed in the Zulip that it may not be desirable to add eta-expanded lemmas unnecessarily. So the `@[to_fun]` tags on the previously point-free `(AE)StronglyMeasurable` lemmas could be omitted from this PR if this is the consensus of the reviewers.
### Future work
- Downstream proof simplifications that could now switch a manual term proof to `by fun_prop`, thanks to the new point-free matching.
A detailed (AI-generated) description of the change, the downstream fixes, and the workflow notes is in [to_fun_pr2_report.md](https://github.com/user-attachments/files/29400198/to_fun_pr2_report.md).
[](https://gitpod.io/from-referrer/)
|
t-measure-probability
new-contributor
|
80/92 |
Mathlib/Analysis/Calculus/Rademacher.lean,Mathlib/Analysis/Fourier/FourierTransform.lean,Mathlib/Analysis/Fourier/FourierTransformDeriv.lean,Mathlib/MeasureTheory/Function/SpecialFunctions/Basic.lean,Mathlib/MeasureTheory/Function/SpecialFunctions/RCLike.lean,Mathlib/MeasureTheory/Function/StronglyMeasurable/AEStronglyMeasurable.lean,Mathlib/MeasureTheory/Function/StronglyMeasurable/Basic.lean,Mathlib/MeasureTheory/Group/Arithmetic.lean,Mathlib/MeasureTheory/Integral/CircleIntegral.lean,Mathlib/MeasureTheory/Integral/MeanInequalities.lean,Mathlib/MeasureTheory/Measure/Decomposition/Lebesgue.lean,Mathlib/MeasureTheory/Measure/WithDensity.lean,Mathlib/MeasureTheory/Order/Lattice.lean,Mathlib/Probability/Independence/Conditional.lean,Mathlib/Probability/Independence/Integration.lean,Mathlib/Probability/Kernel/Proper.lean |
16 |
2 |
['github-actions'] |
nobody |
1-19820 1 day ago |
1-20726 1 day ago |
1-20377 1 day |
| 41093 |
wwylele author:wwylele |
feat(Analysis): two codiscrete-equal meromorphic functions have codiscrete-equal derivatives |
---
AI usage disclosure: the first proof was drafted by Aristotle
This lemma seems eligible for `@[gcongr]`. However I chose not to tag it because if I do, this `gcongr` will apply this to any goals that looks like `deriv f =ᶠ[codiscreteWithin U] deriv g` and generating side goals `MeromorphicOn`, even if the context has nothing to do with meromorphic functions.
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|
t-analysis |
18/0 |
Mathlib/Analysis/Meromorphic/IsolatedZeros.lean |
1 |
1 |
['github-actions'] |
nobody |
1-10665 1 day ago |
1-13948 1 day ago |
1-13599 1 day |
| 40853 |
grunweg author:grunweg |
chore: fix bad indentation |
Not exhaustive at all. Inspired by Zulip discussion in https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/linter.20requests/with/605217189
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|
t-algebra label:t-algebra$ |
126/129 |
Counterexamples/NowhereDifferentiable.lean,Mathlib/Algebra/Algebra/RestrictScalars.lean,Mathlib/Algebra/EuclideanDomain/Basic.lean,Mathlib/Algebra/Group/Submonoid/Units.lean,Mathlib/Algebra/GroupWithZero/Units/Basic.lean,Mathlib/Algebra/Homology/CochainComplexOpposite.lean,Mathlib/Algebra/Homology/Factorizations/CM5a.lean,Mathlib/Algebra/Homology/HomologicalComplex.lean,Mathlib/Algebra/Homology/HomologicalComplexLimitsEventuallyConstant.lean,Mathlib/Algebra/Homology/HomotopyCategory/HomComplexInduction.lean,Mathlib/Algebra/Homology/Precylinder.lean,Mathlib/Algebra/Lie/Killing.lean,Mathlib/Algebra/Lie/Prod.lean,Mathlib/Algebra/LieRinehartAlgebra/Subalgebra.lean,Mathlib/Algebra/Order/GroupWithZero/Canonical.lean,Mathlib/Algebra/Quaternion.lean,Mathlib/Algebra/SkewMonoidAlgebra/Support.lean,Mathlib/Algebra/SkewPolynomial/Basic.lean,Mathlib/Algebra/Star/LinearMap.lean,Mathlib/Analysis/CStarAlgebra/GelfandNaimarkSegal.lean,Mathlib/Analysis/Distribution/ContDiffMapSupportedIn.lean,Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Analysis/Normed/Algebra/Spectrum.lean,Mathlib/Analysis/Normed/Lp/lpSpace.lean,Mathlib/Analysis/ODE/Transform.lean,Mathlib/Analysis/SpecialFunctions/Sigmoid.lean,Mathlib/CategoryTheory/Bicategory/Functor/StrictlyUnitary.lean,Mathlib/CategoryTheory/Generator/Basic.lean,Mathlib/CategoryTheory/GradedObject/Monoidal.lean,Mathlib/CategoryTheory/GuitartExact/KanExtension.lean,Mathlib/CategoryTheory/Limits/Shapes/Opposites/Equalizers.lean,Mathlib/CategoryTheory/LocallyCartesianClosed/Over.lean,Mathlib/CategoryTheory/Monoidal/Bimon_.lean,Mathlib/CategoryTheory/Monoidal/DayConvolution/DayFunctor.lean,Mathlib/CategoryTheory/Sites/Point/Skyscraper.lean,Mathlib/Combinatorics/Graph/Subgraph.lean,Mathlib/Combinatorics/SimpleGraph/FiveWheelLike.lean,Mathlib/Combinatorics/SimpleGraph/Star.lean,Mathlib/Computability/TuringMachine/StackTuringMachine.lean,Mathlib/Data/Fin/Tuple/Basic.lean,Mathlib/FieldTheory/Galois/Basic.lean,Mathlib/FieldTheory/IntermediateField/Adjoin/Defs.lean,Mathlib/FieldTheory/RatFunc/IntermediateField.lean,Mathlib/FieldTheory/SeparableClosure.lean,Mathlib/Geometry/Convex/ConvexSpace/Module.lean,Mathlib/Geometry/Manifold/VectorBundle/CovariantDerivative/Metric.lean,Mathlib/GroupTheory/FiniteAbelian/Duality.lean,Mathlib/GroupTheory/RegularWreathProduct.lean,Mathlib/GroupTheory/SpecificGroups/Alternating/MaximalSubgroups.lean,Mathlib/LinearAlgebra/Matrix/ZMatrix.lean,Mathlib/LinearAlgebra/Reflection.lean,Mathlib/LinearAlgebra/RootSystem/BaseExists.lean,Mathlib/LinearAlgebra/Semisimple.lean,Mathlib/MeasureTheory/Constructions/BorelSpace/Real.lean,Mathlib/NumberTheory/SelbergSieve.lean,Mathlib/Order/Types/Defs.lean,Mathlib/Order/UpperLower/CompleteLattice.lean,Mathlib/RepresentationTheory/Homological/Resolution.lean,Mathlib/RingTheory/FractionalIdeal/Basic.lean,Mathlib/RingTheory/IsTensorProduct.lean,Mathlib/RingTheory/OrderOfVanishing/Noetherian.lean,Mathlib/RingTheory/Polynomial/Cyclotomic/Basic.lean,Mathlib/Tactic/Algebra/Basic.lean,Mathlib/Tactic/ComputeDegree.lean,Mathlib/Tactic/FieldSimp.lean,Mathlib/Tactic/FieldSimp/Attr.lean,Mathlib/Tactic/Finiteness.lean,Mathlib/Tactic/Translate/Core.lean,Mathlib/Topology/Algebra/InfiniteSum/Field.lean,Mathlib/Topology/Algebra/IsUniformGroup/Basic.lean,Mathlib/Topology/EMetricSpace/Defs.lean,Mathlib/Topology/IndicatorConstPointwise.lean,Mathlib/Topology/Sion.lean,MathlibTest/MkIffOfInductive.lean,MathlibTest/Tactic/NormNum/Basic.lean |
75 |
3 |
['felixpernegger', 'github-actions', 'grunweg', 'mathlib-merge-conflicts'] |
nobody |
1-6657 1 day ago |
2-68039 2 days ago |
7-3291 7 days |
| 40967 |
Formalistic03 author:Formalistic03 |
feat(Combinatorics/SimpleGraph/Paths): some lemmas about inducing walks |
Could also be done via `SimpleGraph.Walk.map_induce`, but I thought that doing it directly is not much worse.
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new-contributor
t-combinatorics
|
48/0 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Maps.lean,Mathlib/Data/List/Nodup.lean |
3 |
2 |
['github-actions'] |
nobody |
1-5417 1 day ago |
4-41643 4 days ago |
4-41379 4 days |
| 41095 |
felixpernegger author:felixpernegger |
chore(Data/Vector/Basic): remove defeq abuse |
---
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|
t-data |
12/15 |
Mathlib/Data/Vector/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
1-4753 1 day ago |
1-7083 1 day ago |
1-6734 1 day |
| 40664 |
kebekus author:kebekus |
feat: Bounded Range versus `IsBigO` Asymptotics |
Show that for a continuous function `f : ℝ → E` into a seminormed space, having bounded range is equivalent to being `O(1)` along both `atTop` and `atBot`. If `f` is even, then a single `O(1)` bound along `atTop` already suffices. This material is used in Value Distribution Theory, where boundedness is traditionally expressed as being `O(1)`.
---
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|
t-analysis |
87/4 |
Mathlib/Algebra/Group/EvenFunction.lean,Mathlib/Analysis/Asymptotics/SpecificAsymptotics.lean |
2 |
18 |
['chenson2018', 'github-actions', 'j-loreaux', 'kebekus', 'wwylele'] |
j-loreaux assignee:j-loreaux |
1-2213 1 day ago |
1-3648 1 day ago |
8-48748 8 days |
| 41097 |
teorth author:teorth |
feat(NumberTheory/EulerProduct/DirichletLSeries): establish Dirichlet series for log of L-functions or Riemann-zeta |
Establishes the Dirichlet series for the logarithm of a Dirichlet L-function (and in particular the Riemann zeta function), to the right of the critical strip.
---
Two simple helper lemmas in other files are also created. The first is a variant of `Complex.hasSum_taylorSeries_neg_log` that omits the
(vanishing) constant term. The second gives the summation formula for a Dirichlet LSeries in the case where the coefficient function vanishes at the origin.
-->
[](https://gitpod.io/from-referrer/)
|
new-contributor |
100/0 |
Mathlib/Analysis/SpecialFunctions/Complex/LogBounds.lean,Mathlib/NumberTheory/EulerProduct/DirichletLSeries.lean,Mathlib/NumberTheory/LSeries/Basic.lean |
3 |
3 |
['github-actions'] |
nobody |
0-85714 23 hours ago |
0-86300 23 hours ago |
0-86036 23 hours |
| 37682 |
SabrinaJewson author:SabrinaJewson |
refactor(Order/OrdContinuous): redefine left and right order continuity to not require preserving ⊥/⊤ |
`LeftOrdContinuous` currently requires that `f ⊥ = ⊥`, but this means that many functions that are perhaps intuitively left-continuous (like `f x = x + 1` on `ℝ≥0`) are not. In particular, this change means that functions between conditionally complete lattices are `LeftOrdContinuous` iff they are monotone and topologically left continuous (see `MonotoneOn.map_csSup_of_continuousWithinAt` for the reverse direction).
If one wants the concept that existed before, one can either accept the `f ⊥ = ⊥` hypothesis separately or, if the function is between complete lattices, use the left side of a `GaloisConnection` (which is equivalent, although I think this is not yet in Mathlib).
`LeftOrdContinuous.continuousWithinAt_Iic` is rewritten to accomodate these changes; the superfluous `DenselyOrdered` assumption is also removed.
[Zulip thread](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/LeftOrdContinuous.20requires.20f.28.E2.8A.A5.29.20.3D.20.E2.8A.A5/near/582932491)
---
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|
new-contributor
t-order
maintainer-merge
|
40/29 |
Mathlib/Order/OrdContinuous.lean,Mathlib/Order/SemiconjSup.lean,Mathlib/Topology/Order/Basic.lean |
3 |
23 |
['SabrinaJewson', 'YaelDillies', 'astrainfinita', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
0-84968 23 hours ago |
0-84990 23 hours ago |
76-48411 76 days |
| 41066 |
BryceT233 author:BryceT233 |
feat(RingTheory/Jacobson/Ideal): surjective `RingHom` and `IsLocalHom` |
This is a split of #41064 which shows that a surjective `RingHom` is a local homomorphism if and only if its kernel is contained in the jacobson radical of the ring.
---
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|
t-ring-theory |
24/16 |
Mathlib/RingTheory/Henselian.lean,Mathlib/RingTheory/Jacobson/Ideal.lean |
2 |
2 |
['BryceT233', 'github-actions'] |
nobody |
0-83720 23 hours ago |
0-84661 23 hours ago |
1-80605 1 day |
| 40973 |
certik author:certik |
feat: multiplicative automatic continuity on ℝ |
This PR adds the multiplicative companion of the existing additive automatic-continuity theorem `AddMonoidHom.continuous_of_measurable`. See the git commit descriptions for all the details.
Depends on https://github.com/leanprover-community/mathlib4/pull/40976.
AI usage disclosure: I used Claude Opus 4.8 to create the theorems and proofs in my own Lean project, then extracted them into this PR since I think they are general purpose and would be useful for other people. I iterated on the proofs until they are as simple as I could get them. I am new to Lean, so if something should be reworked, please let me know. Lean is amazing, I was able to use it to prove various theorems and check my derivations. This is my little contribution back to the project. |
t-measure-probability
LLM-generated
new-contributor
|
154/0 |
Mathlib.lean,Mathlib/MeasureTheory/Measure/Haar/AutomaticContinuity.lean |
2 |
10 |
['certik', 'github-actions', 'mathlib-merge-conflicts', 'wwylele'] |
nobody |
0-83329 23 hours ago |
0-85075 23 hours ago |
3-22023 3 days |
| 40957 |
kebekus author:kebekus |
feat: characterize mermorphic functions with finite set of poles in terms of logarithmic counting function |
Deliver on an open TODO. showing that a meromorphic function has a finite set of poles if and only if its logarithmic counting function is big-O of log. This material will later be used to characterize rational and algebraic functions among all meromorphic functions in terms of their characteristic (a.k.a. Nevanlinna height)
Claude Code was used in the preparation of this PR.
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t-analysis |
139/15 |
Mathlib/Analysis/Asymptotics/Defs.lean,Mathlib/Analysis/Calculus/ContDiff/FaaDiBruno.lean,Mathlib/Analysis/Complex/ValueDistribution/LogCounting/Asymptotic.lean,Mathlib/Analysis/Distribution/TemperateGrowth.lean,Mathlib/Analysis/Polynomial/Basic.lean,Mathlib/NumberTheory/ModularForms/Bounds.lean,Mathlib/NumberTheory/ModularForms/NormTrace.lean,Mathlib/Topology/LocallyFinsupp.lean |
8 |
1 |
['github-actions'] |
nobody |
0-81623 22 hours ago |
4-57131 4 days ago |
4-56782 4 days |
| 41085 |
chrisflav author:chrisflav |
feat(CategoryTheory): stalks of a presheaf on an indiscrete topological space |
---
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|
t-category-theory |
84/0 |
Mathlib/CategoryTheory/Limits/Shapes/Terminal.lean,Mathlib/Topology/Category/TopCat/OpenNhds.lean,Mathlib/Topology/Sheaves/Stalks.lean |
3 |
3 |
['chrisflav', 'github-actions', 'plp127'] |
nobody |
0-79986 22 hours ago |
1-36663 1 day ago |
1-37470 1 day |
| 41099 |
sgouezel author:sgouezel |
feat: more results on bounded variation functions |
---
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|
t-topology |
376/74 |
Mathlib/Topology/EMetricSpace/BoundedVariation.lean |
1 |
1 |
['github-actions'] |
nobody |
0-72107 20 hours ago |
0-73153 20 hours ago |
0-72804 20 hours |
| 41098 |
vlad902 author:vlad902 |
feat(RingTheory): krull dimension of a polynomial ring in an infinite number of variables |
Add a simp lemma that `dim(R[X_1, ...]) = ∞` and also derive an ENat-valued lemma that `dim(R[X_s]) = dim(R) + card(X_s)`. Note that I keep the original lemma for finite index sets as @[simp] since this is likely to be the more common case in practice.
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|
t-ring-theory |
30/1 |
Mathlib/Data/ENat/Basic.lean,Mathlib/RingTheory/KrullDimension/NonZeroDivisors.lean,Mathlib/RingTheory/KrullDimension/Polynomial.lean |
3 |
1 |
['github-actions'] |
nobody |
0-71257 19 hours ago |
0-73174 20 hours ago |
0-72825 20 hours |
| 40588 |
ajirving author:ajirving |
feat(Analysis): integral test for infinite sums |
Extends the results in SumIntegralComparisons.lean to infinite sums. If a function is nonnegative, antitone and integrable on $(0,
\infty)$ then we prove that its restriction to $\N$ is summable and we
bound its sum by the integral.
This upstreams some results I recently added to the PrimeNumberTheoremAnd project in Mertens.lean.
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t-analysis
large-import
|
155/8 |
Mathlib/Analysis/SumIntegralComparisons.lean,docs/undergrad.yaml |
2 |
11 |
['ajirving', 'github-actions', 'j-loreaux'] |
j-loreaux assignee:j-loreaux |
0-70621 19 hours ago |
1-37239 1 day ago |
10-28627 10 days |
| 40360 |
YaelDillies author:YaelDillies |
feat(RingTheory): adjoining a root is preserved under base change |
From Toric
Co-authored-by: Andrew Yang <the.erd.one@gmail.com>
Co-authored-by: Michał Mrugała <kiolterino@gmail.com>
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|
t-ring-theory
toric
|
38/0 |
Mathlib/RingTheory/AdjoinRoot.lean |
1 |
1 |
['github-actions'] |
nobody |
0-70318 19 hours ago |
19-63362 19 days ago |
19-63013 19 days |
| 41019 |
YaelDillies author:YaelDillies |
feat(Topology/UniformSpace): tag `UniformContinuous` with `@[fun_prop]` |
and tag all the relevant lemmas (found via Loogle). Do the same for the other function properties.
From MeanFourier
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|
t-topology |
84/14 |
Mathlib/Analysis/Complex/Basic.lean,Mathlib/Analysis/Normed/Group/AddTorsor.lean,Mathlib/Analysis/Normed/Group/Uniform.lean,Mathlib/Analysis/Normed/Lp/PiLp.lean,Mathlib/Analysis/Normed/Lp/ProdLp.lean,Mathlib/MeasureTheory/Function/SimpleFuncDenseLp.lean,Mathlib/Topology/Algebra/IsUniformGroup/Defs.lean,Mathlib/Topology/Algebra/Module/Multilinear/Topology.lean,Mathlib/Topology/Algebra/SeparationQuotient/Section.lean,Mathlib/Topology/Algebra/UniformMulAction.lean,Mathlib/Topology/ContinuousMap/Bounded/Basic.lean,Mathlib/Topology/UniformSpace/AbstractCompletion.lean,Mathlib/Topology/UniformSpace/Basic.lean,Mathlib/Topology/UniformSpace/Completion.lean,Mathlib/Topology/UniformSpace/Defs.lean,Mathlib/Topology/UniformSpace/Separation.lean |
16 |
1 |
['github-actions'] |
nobody |
0-70271 19 hours ago |
2-74031 2 days ago |
2-74430 2 days |
| 40545 |
kebekus author:kebekus |
feat: analytic extension of meromorphic functions |
Add two simple theorems on analytic extension of meromorphic functions. Includes code donated by @unaoya Naoya Umezaki, modified by Claude Code.
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|
t-analysis |
17/0 |
Mathlib/Analysis/Meromorphic/Order.lean |
1 |
9 |
['felixpernegger', 'github-actions', 'kebekus', 'themathqueen'] |
themathqueen assignee:themathqueen |
0-63517 17 hours ago |
0-82212 22 hours ago |
15-51210 15 days |
| 36963 |
seewoo5 author:seewoo5 |
feat(ModularForms): SL2 action and Serre derivative |
---
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Equivariance of Serre derivative under SL2 action. More precisely, $$\partial_k (F|_k \gamma) = (\partial_{k} F)|_{k+2} \gamma$$. From [Sphere Packing Project](https://github.com/thefundamentaltheor3m/Sphere-Packing-Lean). |
t-number-theory
sphere-packing
maintainer-merge
|
95/4 |
Mathlib/Analysis/Complex/UpperHalfPlane/Manifold.lean,Mathlib/NumberTheory/ModularForms/Derivative.lean |
2 |
40 |
['github-actions', 'loefflerd', 'mathlib-merge-conflicts', 'seewoo5', 'tb65536', 'wwylele'] |
loefflerd assignee:loefflerd |
0-62838 17 hours ago |
0-71815 19 hours ago |
51-14997 51 days |
| 39341 |
drocta author:drocta |
feat(Algebra/Colimit/DirectLimit): add DirectLimit.(NonUnital)StarAlgebra.(lift/of) maps and associated lemmas |
add the `of` and `lift` maps for `DirectLimit.StarAlgebra` and `DirectLimit.NonUnitalStarAlgebra`, as well as the associated lemmas, `of_f`, `lift_comp_of`, `lift_of`, and `hom_ext` for each. Also make `DirectLimit.NonUnitalAlgebra` only require `[Monoid R]` rather than `[CommSemiring R]`.
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Use of AI: I again asked ChatGPT for some advice about some things about this code. I can personally vouch for all of the code I'm submitting, and that I understand all of it.
This is the third part of my project towards supporting direct limits of $C^∗$ -algebras (as I described [on Zulip](https://leanprover.zulipchat.com/#narrow/channel/113489-new-members/topic/Early.20feedback.20on.20approach.20towards.20formalizing.20UHF.20algebras.3F) ).
This PR adds an import of `Mathlib.Algebra.Star.StarAlgHom` (because it needs `StarAlgHom` and `NonUnitalStarAlgHom`) replacing/encompassing the previously added imports of `Mathlib.Algebra.Star.StarRingHom` and `Mathlib.Algebra.Algebra.NonUnitalHom` (added in PR #38308 and #38672 respectively). |
t-algebra
new-contributor
label:t-algebra$ |
100/3 |
Mathlib/Algebra/Colimit/DirectLimit.lean |
1 |
15 |
['dagurtomas', 'drocta', 'github-actions', 'themathqueen'] |
themathqueen assignee:themathqueen |
0-62829 17 hours ago |
45-21080 45 days ago |
45-20731 45 days |
| 26479 |
thefundamentaltheor3m author:thefundamentaltheor3m |
feat(Analysis/Complex/CauchyIntegral): Cauchy–Goursat for Unbounded Rectangles |
In this PR, we prove versions of the Cauchy-Goursat theorem where the contours in question are rectangular and unbounded (ie, where the contours look like the $\bigsqcup$ symbol). I am not sure if I have formalised these in the best way, or if `Analysis.Complex.CauchyIntegral` is the best place for them (it might be prudent to reorganise the file into multiple files at some point), but I believe this is a useful result. Suggestions welcome.
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new-contributor
t-analysis
sphere-packing
|
183/0 |
Mathlib/Analysis/Complex/CauchyIntegral.lean |
1 |
32 |
['github-actions', 'j-loreaux', 'loefflerd', 'mathlib4-merge-conflict-bot', 'thefundamentaltheor3m', 'themathqueen', 'wwylele'] |
themathqueen assignee:themathqueen |
0-62705 17 hours ago |
2-37311 2 days ago |
74-77181 74 days |
| 38039 |
themathqueen author:themathqueen |
chore(Topology): `UniformSpace.Completion` renames for morphisms |
This PR renames the following `UniformSpace.Completion` morphisms.
RingHom
- [ ] `UniformSpace.Completion.mapRingHom` -> `UniformSpace.RingHom.toCompletion`
- [ ] `UniformSpace.Completion.extensionHom` -> `UniformSpace.RingHom.fromCompletion`
RingEquiv
- [ ] `UniformSpace.Completion.mapRingEquiv` -> `UniformSpace.RingEquiv.completion`
NormedAddGroupHom
- [ ] `NormedAddGroupHom.extension` -> `NormedAddGroupHom.fromCompletion`
RingHom isometries
- [ ] `Isometry.extensionHom` -> `Isometry.ringHomFromCompletion`
- [ ] `Isometry.mapRingHom` -> `Isometry.ringHomCompletion`
isometries
- [ ] `Isometry.completion_extension` -> `Isometry.fromCompletion`
- [ ] `Isometry.completion_map` -> `Isometry.completion`
Functions
- [ ] `UniformSpace.Completion.extension` -> `UniformSpace.Function.fromCompletion`
- [ ] `UniformSpace.Completion.map` -> `UniformSpace.Function.completion`
UniformEquiv
- [ ] `UniformSpace.Completion.mapEquiv` -> `UniformEquiv.completion`
---
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See Zulip thread: [#mathlib4 > naming convention: `UniformSpace.Completion` morphisms](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/naming.20convention.3A.20.60UniformSpace.2ECompletion.60.20morphisms)
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|
t-topology |
381/226 |
Mathlib/Analysis/InnerProductSpace/Completion.lean,Mathlib/Analysis/Normed/Field/WithAbs.lean,Mathlib/Analysis/Normed/Group/Completion.lean,Mathlib/Analysis/Normed/Group/HomCompletion.lean,Mathlib/Analysis/Normed/Group/SemiNormedGrp/Completion.lean,Mathlib/NumberTheory/NumberField/Completion/FinitePlace.lean,Mathlib/NumberTheory/NumberField/Completion/InfinitePlace.lean,Mathlib/NumberTheory/NumberField/Completion/LiesOverInstances.lean,Mathlib/NumberTheory/Padics/Complex.lean,Mathlib/NumberTheory/Padics/HeightOneSpectrum.lean,Mathlib/NumberTheory/Padics/WithVal.lean,Mathlib/RingTheory/DedekindDomain/AdicValuation.lean,Mathlib/RingTheory/LaurentSeries.lean,Mathlib/Topology/Algebra/GroupCompletion.lean,Mathlib/Topology/Algebra/LinearMapCompletion.lean,Mathlib/Topology/Algebra/UniformMulAction.lean,Mathlib/Topology/Algebra/UniformRing.lean,Mathlib/Topology/Algebra/Valued/ValuedField.lean,Mathlib/Topology/Algebra/Valued/WithVal.lean,Mathlib/Topology/Category/UniformSpace.lean,Mathlib/Topology/MetricSpace/Completion.lean,Mathlib/Topology/UniformSpace/Completion.lean |
22 |
2 |
['github-actions', 'themathqueen'] |
nobody |
0-62497 17 hours ago |
0-65784 18 hours ago |
0-65435 18 hours |
| 40500 |
YaelDillies author:YaelDillies |
feat: correspondence between affine group schemes and Hopf algebras |
Construct `Spec` as a functor from `R`-Hopf algebras to group schemes over `Spec R`, show it is full and faithful and has affine group schemes as essential image.
From Toric, FLT
Co-authored-by: Andrew Yang <the.erd.one@gmail.com>
Co-authored-by: Michał Mrugała <kiolterino@gmail.com>
Co-authored-by: Christian Merten <christian@merten.dev>
---
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|
t-algebraic-geometry
toric
FLT
|
543/0 |
Mathlib.lean,Mathlib/AlgebraicGeometry/Group/Affine.lean,Mathlib/RingTheory/Bialgebra/TensorProduct.lean,Mathlib/RingTheory/TensorProduct/Maps.lean |
4 |
31 |
['YaelDillies', 'dagurtomas', 'erdOne', 'github-actions', 'riccardobrasca'] |
riccardobrasca assignee:riccardobrasca |
0-61621 17 hours ago |
0-63074 17 hours ago |
5-85559 5 days |
| 40796 |
luigi-massacci author:luigi-massacci |
feat(Analysis/Distribution/Support): version for D' of existing lemmas for S' |
This is an almost direct copy-paste of the existing lemmas for tempered distributions to generic distributions.
---
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|
t-analysis
easy
maintainer-merge
|
92/3 |
Mathlib/Analysis/Distribution/Distribution.lean,Mathlib/Analysis/Distribution/Support.lean |
2 |
9 |
['github-actions', 'luigi-massacci', 'mcdoll'] |
nobody |
0-61585 17 hours ago |
8-75139 8 days ago |
8-74790 8 days |
| 33143 |
wwylele author:wwylele |
feat(PowerSeries): pentagonal number theorem |
The proof is split in two files: `Mathlib/Combinatorics/Enumerative/Ring.lean` for the algebraic part, and `Mathlib/Combinatorics/Enumerative/PowerSeries.lean` for the summability part. In the near future, I also plan to prove the real/complex version that branches off from the algebraic part.
---
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|
t-combinatorics
file-removed
|
373/7 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/Pentagonal/Basic.lean,Mathlib/Combinatorics/Enumerative/Pentagonal/PowerSeries.lean,Mathlib/Combinatorics/Enumerative/Pentagonal/Ring.lean,Mathlib/RingTheory/Nilpotent/Basic.lean,docs/1000.yaml |
6 |
93 |
['YaelDillies', 'copilot-pull-request-reviewer', 'github-actions', 'jcommelin', 'mathlib-dependent-issues', 'tb65536', 'themathqueen', 'urkud', 'vihdzp', 'wwylele'] |
YaelDillies assignee:YaelDillies |
0-61288 17 hours ago |
0-62312 17 hours ago |
166-51685 166 days |
| 40548 |
qawbecrdtey author:qawbecrdtey |
chore(FieldTheory): cleanup imports |
---
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Cleaned imports of `Mathlib.FieldTheory`.
[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
10/72 |
Mathlib/FieldTheory/AbelRuffini.lean,Mathlib/FieldTheory/AbsoluteGaloisGroup.lean,Mathlib/FieldTheory/AlgebraicClosure.lean,Mathlib/FieldTheory/AxGrothendieck.lean,Mathlib/FieldTheory/CardinalEmb.lean,Mathlib/FieldTheory/Cardinality.lean,Mathlib/FieldTheory/Finite/Basic.lean,Mathlib/FieldTheory/Finite/GaloisField.lean,Mathlib/FieldTheory/Finite/Polynomial.lean,Mathlib/FieldTheory/Finiteness.lean,Mathlib/FieldTheory/Fixed.lean,Mathlib/FieldTheory/Galois/Basic.lean,Mathlib/FieldTheory/Galois/Infinite.lean,Mathlib/FieldTheory/Galois/NormalBasis.lean,Mathlib/FieldTheory/IntermediateField/Adjoin/Basic.lean,Mathlib/FieldTheory/IsAlgClosed/AlgebraicClosure.lean,Mathlib/FieldTheory/IsAlgClosed/Basic.lean,Mathlib/FieldTheory/Isaacs.lean,Mathlib/FieldTheory/KummerExtension.lean,Mathlib/FieldTheory/KummerPolynomial.lean,Mathlib/FieldTheory/Laurent.lean,Mathlib/FieldTheory/Minpoly/Field.lean,Mathlib/FieldTheory/Minpoly/IsConjRoot.lean,Mathlib/FieldTheory/Minpoly/IsIntegrallyClosed.lean,Mathlib/FieldTheory/Normal/Closure.lean,Mathlib/FieldTheory/Normal/Defs.lean,Mathlib/FieldTheory/Perfect.lean,Mathlib/FieldTheory/PerfectClosure.lean,Mathlib/FieldTheory/PrimeField.lean,Mathlib/FieldTheory/PrimitiveElement.lean,Mathlib/FieldTheory/PurelyInseparable/AdjoinPthRoots.lean,Mathlib/FieldTheory/PurelyInseparable/PerfectClosure.lean,Mathlib/FieldTheory/RatFunc/AsPolynomial.lean,Mathlib/FieldTheory/RatFunc/Basic.lean,Mathlib/FieldTheory/RatFunc/Defs.lean,Mathlib/FieldTheory/RatFunc/Degree.lean,Mathlib/FieldTheory/Separable.lean,Mathlib/FieldTheory/SeparableDegree.lean,Mathlib/FieldTheory/SeparablyGenerated.lean,Mathlib/FieldTheory/SplittingField/Construction.lean |
40 |
7 |
['github-actions', 'leanprover-radar', 'qawbecrdtey', 'yuanyi-350'] |
nobody |
0-61091 16 hours ago |
8-72312 8 days ago |
15-61237 15 days |
| 41100 |
tb65536 author:tb65536 |
refactor(RingTheory/Localization/AtPrime/Basic): replace `IsLiesOverAlgebra` with `IsScalarTower` |
As @erdOne pointed out on #38465, the recently added `IsLiesOverAlgebra` is equivalent to assuming `IsScalarTower`. So I've deprecated `IsLiesOverAlgebra` and switched everything over to `IsScalarTower`.
---
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|
t-ring-theory
t-algebra
label:t-algebra$ |
65/53 |
Mathlib/RingTheory/Flat/Localization.lean,Mathlib/RingTheory/LocalRing/ResidueField/Fiber.lean,Mathlib/RingTheory/LocalRing/ResidueField/Ideal.lean,Mathlib/RingTheory/LocalRing/ResidueField/Instances.lean,Mathlib/RingTheory/LocalRing/ResidueField/Polynomial.lean,Mathlib/RingTheory/Localization/AtPrime/Basic.lean,Mathlib/RingTheory/QuasiFinite/Basic.lean,Mathlib/RingTheory/QuasiFinite/Weakly.lean,Mathlib/RingTheory/RamificationInertia/Inertia.lean,Mathlib/RingTheory/RamificationInertia/Ramification.lean,Mathlib/RingTheory/Unramified/LocalRing.lean,Mathlib/RingTheory/Unramified/LocalStructure.lean,Mathlib/RingTheory/Unramified/Locus.lean |
13 |
3 |
['github-actions', 'tb65536'] |
nobody |
0-59455 16 hours ago |
0-60699 16 hours ago |
0-60351 16 hours |
| 38841 |
SnirBroshi author:SnirBroshi |
feat(Mathlib/Order/SuccPred/Limit): more `WithTop` lemmas about `IsMin`/`CovBy`/`IsSuccLimit` |
---
Continues the work from #38244
We should probably also have such lemmas for `WithTopBot`/`WithBotTop`, but that's for another day
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|
t-order |
122/31 |
Mathlib/Order/Cover.lean,Mathlib/Order/SuccPred/Limit.lean,Mathlib/Order/WithBot.lean |
3 |
4 |
['SnirBroshi', 'github-actions', 'vihdzp'] |
nobody |
0-58948 16 hours ago |
25-40245 25 days ago |
56-77314 56 days |
| 39575 |
YaelDillies author:YaelDillies |
chore(Data/Finsupp): make `mapDomain_congr` congr |
This makes simp stronger. It particular, it breaks some proofs that relied on simp being weak.
From MeanFourier
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t-data |
29/36 |
Mathlib/Algebra/MvPolynomial/Nilpotent.lean,Mathlib/Data/Finsupp/Basic.lean,Mathlib/Geometry/Convex/ConvexSpace/Defs.lean,Mathlib/LinearAlgebra/Basis/Defs.lean,Mathlib/LinearAlgebra/Finsupp/Pi.lean,Mathlib/LinearAlgebra/Matrix/Basis.lean,Mathlib/NumberTheory/NumberField/EquivReindex.lean,Mathlib/NumberTheory/NumberField/House.lean,Mathlib/RepresentationTheory/Homological/GroupHomology/Functoriality.lean,Mathlib/RepresentationTheory/Intertwining.lean |
10 |
1 |
['github-actions'] |
nobody |
0-58874 16 hours ago |
36-79606 36 days ago |
37-2509 37 days |
| 35822 |
SnirBroshi author:SnirBroshi |
feat(Order/ConditionallyCompleteLattice): `sSup (f '' s) ≤ f (sSup s)` |
---
#35260 will add `iSup` versions. (edit: it was merged, and it's only for `[Finite ι]`)
Future work (though I'm not sure if it's possible): `Antitone`, `MonotoneOn`, `AntitoneOn`
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t-order
maintainer-merge
|
40/1 |
Mathlib/Order/ConditionallyCompleteLattice/Basic.lean,Mathlib/Order/ConditionallyCompleteLattice/Finset.lean |
2 |
10 |
['Komyyy', 'SnirBroshi', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
0-58771 16 hours ago |
3-20748 3 days ago |
19-2574 19 days |
| 39747 |
vihdzp author:vihdzp |
feat: intervals `Ici`/`Ioi` are cofinal/closed under directed suprema |
---
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|
t-order |
67/11 |
Mathlib/Order/Cofinal.lean,Mathlib/Order/DirSupClosed.lean,Mathlib/Order/Interval/Set/Basic.lean,Mathlib/Order/UpperLower/Basic.lean,Mathlib/Topology/Order/ScottTopology.lean |
5 |
16 |
['YaelDillies', 'b-mehta', 'github-actions', 'vihdzp'] |
nobody |
0-58705 16 hours ago |
34-55246 34 days ago |
35-32867 35 days |
| 39783 |
SnirBroshi author:SnirBroshi |
feat(Order/Interval/Finset): `Set.ncard` lemmas for `LocallyFiniteOrder` |
Followup to #39414 which untagged `Fintype.card_I??` as `@[simp]`.
Adds `Cardinal.mk`/`Set.encard`/`Set.ncard` lemmas for the 8 interval sets `Set.I??` (= 24 lemmas),
that convert them to `Finset.card` over the corresponding `Finset.I??` from a `LocallyFiniteOrder` instance.
---
`simp`? I think it's a bit strange since the `LocallyFiniteOrder` instance could have crazy definitions for the finset intervals which aren't "simpler", though the instances we currently have are simple.
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|
t-order |
115/0 |
Mathlib.lean,Mathlib/Order/Interval/Finset/Card.lean |
2 |
1 |
['github-actions'] |
nobody |
0-58635 16 hours ago |
34-51144 34 days ago |
34-51094 34 days |
| 38534 |
AlexeyMilovanov author:AlexeyMilovanov |
refactor(Computability): bundle PFun into a structure with FunLike instance |
This PR refactors `PFun` from `def PFun α β := α → Part β` to a structure with a `FunLike` instance.
[Discussion](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Fix.20for.20fun_prop.20on.20PFun.20.28context.3A.20Computability.20Theory.29)
### Main changes
* `PFun` is now a structure with a single field `toFun : α → Part β`.
* Added the `FunLike (α →. β) α (Part β)` instance and `initialize_simps_projections`.
* Added the basic projection/application simp lemmas needed for the structure wrapper.
* Definitions which used to return raw lambdas as partial functions now explicitly use `PFun.mk` or `PFun.lift`.
* Equality proofs for partial functions now use `PFun.ext` / `DFunLike.ext` where `funext` no longer applies directly.
### Downstream impact
The refactor mainly impacts Computability Theory and Category Theory (`Category/PartialFun.lean`). Since `PFun` is no longer definitionally equal to `α → Part β`, tactics such as `rfl`, `simp`, and `funext` can no longer always see through the old raw-function representation.
As a result, several proofs (e.g. `fix_aux`, `ppred`, `mem_eval`, and `unitIso`) grew in size, requiring explicit `ext` + `simp` breakdowns. I tried to keep these proof changes minimal; further golfing suggestions are very welcome. It seems that fully recovering the old brevity in some places may require additional `PFun`-specific API/congruence support, which I avoided adding in this PR to keep the diff minimal.
### Affected files
* **Core:** `Mathlib/Data/PFun.lean`
* **Computability:** `Partrec`, `PartrecBasis`, `PartrecCode`, `RE`, `RecursiveIn`, `Ackermann`, `StateTransition`, `TuringDegree`, `TuringMachine/Config`
* **Category Theory:** `Category/PartialFun.lean`
* **Other:** `Data/Finset/PImage.lean`, `NumberTheory/Dioph.lean`
This also removes the previous `set_option linter.flexible false` workaround and the local transparency workaround in `TuringMachine/Config.lean`, as well as the local transparency workarounds in `Category/PartialFun.lean`.
### Note on LLM usage
The core `PFun` change caused numerous downstream errors. I initially used an LLM to help draft fixes for these files. Afterwards, I spent a significant amount of time manually correcting and modifying all of the generated changes.
|
new-contributor
t-computability
|
529/502 |
Mathlib/CategoryTheory/Category/PartialFun.lean,Mathlib/Computability/Ackermann.lean,Mathlib/Computability/Partrec.lean,Mathlib/Computability/PartrecBasis.lean,Mathlib/Computability/PartrecCode.lean,Mathlib/Computability/RE.lean,Mathlib/Computability/RecursiveIn.lean,Mathlib/Computability/StateTransition.lean,Mathlib/Computability/TuringDegree.lean,Mathlib/Computability/TuringMachine/Config.lean,Mathlib/Data/Finset/PImage.lean,Mathlib/Data/PFun.lean,Mathlib/NumberTheory/Dioph.lean |
13 |
10 |
['AlexeyMilovanov', 'dagurtomas', 'github-actions', 'j-loreaux', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
0-58590 16 hours ago |
22-28182 22 days ago |
41-59327 41 days |
| 38855 |
SnirBroshi author:SnirBroshi |
feat(Order/ConditionallyCompleteLattice/Indexed): `≤` version of `ciSup_or'` for `ConditionallyCompleteLattice` |
Deprime `ciSup_or'` because there's no `ciSup_or`, and add a `≤` version (and dual) for `ConditionallyCompleteLattice`.
Only `≤` because equality does not hold when `p ≠ q` without `sSup ∅ = ⊥`.
---
`ciSup_or'` can't have a dual because there's no dual to `ConditionallyCompleteLinearOrderBot`.
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|
t-order |
8/1 |
Mathlib/Order/ConditionallyCompleteLattice/Indexed.lean |
1 |
1 |
['github-actions'] |
nobody |
0-58478 16 hours ago |
56-15773 56 days ago |
56-15424 56 days |
| 40352 |
Yu-Misaka author:Yu-Misaka |
feat(LinearAlgebra/SymplecticGroup): symplectic matrices have determinant 1 |
Greetings! This PR proposes a proof of `symplectic_matrix_det` mentioned at [lean-eval](https://lean-lang.org/eval/problems/symplectic_matrix_det/). The formalization of statement is due to @kim-em.
The proof comes from Seed Prover (lean-eval) and was golfed by me.
Co-authored-by: @GanjinZero
---
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[](https://gitpod.io/from-referrer/)
|
large-import
t-algebra
LLM-generated
label:t-algebra$ |
195/3 |
Mathlib/LinearAlgebra/Matrix/Rank.lean,Mathlib/LinearAlgebra/Matrix/Transvection.lean,Mathlib/LinearAlgebra/SymplecticGroup.lean |
3 |
42 |
['Whysoserioushah', 'Yu-Misaka', 'faenuccio', 'github-actions', 'mathlib-bors', 'mathlib-dependent-issues', 'themathqueen', 'wwylele'] |
nobody |
0-57759 16 hours ago |
0-59133 16 hours ago |
7-64595 7 days |
| 39626 |
justus-springer author:justus-springer |
feat(RingTheory/MvPowerSeries): partial derivatives of `MvPowerSeries` |
Previously, we had formal derivatives for `PowerSeries` and `Polynomial` and formal partial derivatives for `MvPolynomial`, but no formal partial derivatives for `MvPowerSeries`. This PR adds them. Furthermore, `PowerSeries.derivative` is refactored to be defined in terms of `MvPowerSeries.pderiv`, which reduces code duplication (In particular, there is no need to define the bare function `PowerSeries.derivativeFun` anymore).
Most proofs are direct generalizations from the univariate case. I only had to add a few missing API lemmas, which I am PR'ing separately below:
- [x] depends on: #39623
- [x] depends on: #39624
- [x] depends on: #39625
---
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|
t-ring-theory |
320/132 |
Mathlib.lean,Mathlib/RingTheory/MvPowerSeries/Derivative.lean,Mathlib/RingTheory/PowerSeries/Derivative.lean,Mathlib/RingTheory/PowerSeries/Exp.lean |
4 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
0-57527 15 hours ago |
0-57574 15 hours ago |
0-58311 16 hours |
| 41096 |
felixpernegger author:felixpernegger |
chore: remove redundant `backward.proofsInPublic` exceptions |
These are all (no more exceptions).
I guess it is now possible to remove them due to some proofs having been golfed
---
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|
t-category-theory |
0/2 |
Mathlib/CategoryTheory/Sites/EffectiveEpimorphic.lean |
1 |
1 |
['github-actions'] |
nobody |
0-56876 15 hours ago |
0-57385 15 hours ago |
1-4653 1 day |
| 40176 |
YaelDillies author:YaelDillies |
feat(Analysis): `StdSimplex` is a `MetricSpace` |
Endow the standard simplex over a metric space with the L^1 metric.
---
- [x] depends on: #40212
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|
t-analysis
large-import
|
54/10 |
Mathlib/Analysis/Convex/MetricSpace.lean,Mathlib/Analysis/Normed/Lp/Finsupp.lean,Mathlib/Data/Finsupp/Basic.lean,Mathlib/Geometry/Convex/ConvexSpace/Defs.lean,Mathlib/Topology/MetricSpace/Pseudo/Constructions.lean |
5 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
0-55799 15 hours ago |
0-59916 16 hours ago |
0-59595 16 hours |
| 38714 |
YaelDillies author:YaelDillies |
refactor(Algebra): make `MonoidAlgebra` into a one-field structure |
Replace
```
def MonoidAlgebra (R M : Type*) [Semiring R] : Type _ := M →₀ R
```
by
```
structure MonoidAlgebra (R M : Type*) [Semiring R] where
ofCoeff :: coeff : M →₀ R
```
and similarly for `AddMonoidAlgebra`. Since elements of `MonoidAlgebra R M` shouldn't be considered as finitely supported functions `M → R` anymore, I also remove the coercion to functions.
This is a major change with many ramifications in mathlib. The foremost consequence is that it is now by design impossible to abuse defeqs by using `Finsupp` API on `MonoidAlgebra`. There are more consequences:
1. `coeff` is now used very widely. Many lemma names are renamed to contain `coeff` since their type signature changed.
2. For convenience, I copy more `Finsupp` API over to `MonoidAlgebra`. This includes induction principles (`induction`) and linear combinations (`supported`).
3. The existing API copied over from `Finsupp` has no reason to be so through `abbrev` (anymore?/ever), so I make them `def`s instead.
4. Many equalities in `MonoidAlgebra` that were previously obtained through direct applications of the relevant `Finsupp` lemmas are now replaced by `ext; simp`.
5. Many `set_option backward.isDefEq.respectTransparency false` are removed and a similar (but slightly smaller) number are added, essentially because we are pushing further the boundary of abuse.
In many cases, the easiest solution to something breaking was to rid it of its own abuse. Therefore the following that changes that are a priori orthogonal to the titular change were made:
1. Make `PolynomialModule` a one-field structure, similarly to `MonoidAlgebra`.
2. Deduce the `MvPolynomial` base change results from the `AddMonoidAlgebra` ones. In particular, the `AddMonoidAlgebra` ones take the base ring on the left while the `MvPolynomial` ones took it on the right. Left is the correct side because of how heterogeneous base change is set up in mathlib.
3. Make the representation theory library use `MonoidAlgebra` more, whereas previously it was using `MonoidAlgebra` and `Finsupp` interchangeably.
4. Add `ModuleCat.monoidAlgebraFree` as an alternative to `ModuleCat.free` that uses `MonoidAlgebra` instead of `Finsupp`. This is useful to fix homological results that broke due to point 3.
Some points that are left as future work:
1. `Polynomial R` is currently defined as a one-field structure around `AddMonoidAlgebra R ℕ`. Pending performance, it could become an `abbrev` instead.
3. `MonoidAlgebra` could become an `abbrev` of `SkewMonoidAlgebra` since it is a special case of it. In fact, `SkewMonoidAlgebra` could itself become a special case of `CrossProductAlgebra` from [BrauerGroup](https://github.com/Whysoserioushah/BrauerGroup).
5. `MvPowerSeries` and `PowerSeries` should follow the same treatment as `MonoidAlgebra`.
6. `Finsupp` should become an `abbrev` of (non-dependent) `DFinsupp`. This becomes easier after the current PR since the `Finsupp` API is used much less widely.
---
- [x] depends on: #26732
- [x] depends on: #28407
- [x] depends on: #28460
- [x] depends on: #28511
- [x] depends on: #29207
- [x] depends on: #30877
- [x] depends on: #31143
- [x] depends on: #31144
- [x] depends on: #32253
- [x] depends on: #32254
- [x] depends on: #32398
- [x] depends on: #32501
- [x] depends on: #32508
- [x] depends on: #32562
- [x] depends on: #32588
- [x] depends on: #32591
- [x] depends on: #32592
- [x] depends on: #32604
- [x] depends on: #32965
- [x] depends on: #33093
- [x] depends on: #33094
- [x] depends on: #33099
- [x] depends on: #33137
- [x] depends on: #33139
- [x] depends on: #33141
- [x] depends on: #33452
- [x] depends on: #33453
- [x] depends on: #33482
- [x] depends on: #33492
- [x] depends on: #36675
- [x] depends on: #36678
- [x] depends on: #36768
- [x] depends on: #36848
- [x] depends on: #36851
- [x] depends on: #37210
- [x] depends on: #37750
- [x] depends on: #37755
Port of #25273 to my fork
[](https://gitpod.io/from-referrer/)
|
t-algebra
large-import
label:t-algebra$ |
2196/2050 |
Counterexamples/ZeroDivisorsInAddMonoidAlgebras.lean,Mathlib/Algebra/Category/ModuleCat/Adjunctions.lean,Mathlib/Algebra/FreeAlgebra/Cardinality.lean,Mathlib/Algebra/Lie/Loop.lean,Mathlib/Algebra/MonoidAlgebra/Basic.lean,Mathlib/Algebra/MonoidAlgebra/Cardinal.lean,Mathlib/Algebra/MonoidAlgebra/Defs.lean,Mathlib/Algebra/MonoidAlgebra/Degree.lean,Mathlib/Algebra/MonoidAlgebra/Division.lean,Mathlib/Algebra/MonoidAlgebra/Grading.lean,Mathlib/Algebra/MonoidAlgebra/Ideal.lean,Mathlib/Algebra/MonoidAlgebra/Lift.lean,Mathlib/Algebra/MonoidAlgebra/MapDomain.lean,Mathlib/Algebra/MonoidAlgebra/Module.lean,Mathlib/Algebra/MonoidAlgebra/NoZeroDivisors.lean,Mathlib/Algebra/MonoidAlgebra/Opposite.lean,Mathlib/Algebra/MonoidAlgebra/PointwiseSMul.lean,Mathlib/Algebra/MonoidAlgebra/Support.lean,Mathlib/Algebra/MonoidAlgebra/ToDirectSum.lean,Mathlib/Algebra/MvPolynomial/Basic.lean,Mathlib/Algebra/MvPolynomial/Cardinal.lean,Mathlib/Algebra/MvPolynomial/CommRing.lean,Mathlib/Algebra/MvPolynomial/Degrees.lean,Mathlib/Algebra/MvPolynomial/Derivation.lean,Mathlib/Algebra/MvPolynomial/Division.lean,Mathlib/Algebra/MvPolynomial/Equiv.lean,Mathlib/Algebra/MvPolynomial/Eval.lean,Mathlib/Algebra/MvPolynomial/Funext.lean,Mathlib/Algebra/MvPolynomial/Monad.lean,Mathlib/Algebra/MvPolynomial/PDeriv.lean,Mathlib/Algebra/MvPolynomial/Rename.lean,Mathlib/Algebra/MvPolynomial/Supported.lean,Mathlib/Algebra/Polynomial/Basic.lean,Mathlib/Algebra/Polynomial/Basis.lean,Mathlib/Algebra/Polynomial/Cardinal.lean,Mathlib/Algebra/Polynomial/Coeff.lean,Mathlib/Algebra/Polynomial/Degree/Defs.lean,Mathlib/Algebra/Polynomial/Derivative.lean,Mathlib/Algebra/Polynomial/Eval/Coeff.lean,Mathlib/Algebra/Polynomial/HasseDeriv.lean,Mathlib/Algebra/Polynomial/Homogenize.lean,Mathlib/Algebra/Polynomial/Laurent.lean,Mathlib/Algebra/Polynomial/Module/Basic.lean,Mathlib/Algebra/Polynomial/OfFn.lean,Mathlib/Algebra/Polynomial/Reverse.lean,Mathlib/Algebra/Polynomial/UnitTrinomial.lean,Mathlib/Algebra/Ring/Subring/IntPolynomial.lean,Mathlib/Analysis/Fourier/BoundedContinuousFunctionChar.lean,Mathlib/Data/Finsupp/Basic.lean,Mathlib/FieldTheory/Finite/Polynomial.lean,Mathlib/FieldTheory/SeparablyGenerated.lean,Mathlib/LinearAlgebra/Finsupp/VectorSpace.lean,Mathlib/LinearAlgebra/FreeAlgebra.lean,Mathlib/LinearAlgebra/SymmetricAlgebra/Basis.lean,Mathlib/MeasureTheory/Measure/CharacteristicFunction/Basic.lean,Mathlib/MeasureTheory/Measure/LevyConvergence.lean,Mathlib/NumberTheory/BernoulliPolynomials.lean,Mathlib/NumberTheory/Height/MvPolynomial.lean,Mathlib/RepresentationTheory/Action.lean,Mathlib/RepresentationTheory/Basic.lean,Mathlib/RepresentationTheory/Coinduced.lean,Mathlib/RepresentationTheory/Coinvariants.lean,Mathlib/RepresentationTheory/Equiv.lean,Mathlib/RepresentationTheory/FiniteIndex.lean,Mathlib/RepresentationTheory/Homological/FiniteCyclic.lean,Mathlib/RepresentationTheory/Homological/GroupHomology/Basic.lean,Mathlib/RepresentationTheory/Homological/GroupHomology/FiniteCyclic.lean,Mathlib/RepresentationTheory/Homological/Resolution.lean,Mathlib/RepresentationTheory/Induced.lean,Mathlib/RepresentationTheory/Invariants.lean,Mathlib/RepresentationTheory/Rep/Basic.lean,Mathlib/RepresentationTheory/Rep/Iso.lean,Mathlib/RingTheory/Coalgebra/MonoidAlgebra.lean,Mathlib/RingTheory/Derivation/MapCoeffs.lean,Mathlib/RingTheory/Extension/Cotangent/Basis.lean,Mathlib/RingTheory/Extension/Generators.lean,Mathlib/RingTheory/Extension/Presentation/Basic.lean,Mathlib/RingTheory/Filtration.lean,Mathlib/RingTheory/FinitePresentation.lean,Mathlib/RingTheory/FiniteType.lean,Mathlib/RingTheory/Finiteness/Finsupp.lean,Mathlib/RingTheory/HopfAlgebra/MonoidAlgebra.lean,Mathlib/RingTheory/IsAdjoinRoot.lean,Mathlib/RingTheory/Kaehler/JacobiZariski.lean,Mathlib/RingTheory/MvPolynomial/Basic.lean,Mathlib/RingTheory/MvPolynomial/EulerIdentity.lean,Mathlib/RingTheory/MvPolynomial/FreeCommRing.lean,Mathlib/RingTheory/MvPolynomial/Homogeneous.lean,Mathlib/RingTheory/MvPolynomial/Ideal.lean,Mathlib/RingTheory/MvPolynomial/IrreducibleQuadratic.lean,Mathlib/RingTheory/MvPolynomial/Symmetric/Defs.lean,Mathlib/RingTheory/MvPolynomial/WeightedHomogeneous.lean,Mathlib/RingTheory/MvPowerSeries/Trunc.lean,Mathlib/RingTheory/Polynomial/Basic.lean,Mathlib/RingTheory/Polynomial/IsIntegral.lean,Mathlib/RingTheory/Polynomial/Opposites.lean,Mathlib/RingTheory/PowerBasis.lean,Mathlib/RingTheory/RingHom/StandardSmooth.lean,Mathlib/RingTheory/Smooth/IntegralClosure.lean,Mathlib/RingTheory/Spectrum/Prime/Polynomial.lean |
103 |
56 |
['JovanGerb', 'Vierkantor', 'Whysoserioushah', 'YaelDillies', 'github-actions', 'leanprover-radar', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'riccardobrasca', 'tb65536'] |
nobody |
0-55342 15 hours ago |
0-57602 15 hours ago |
6-47024 6 days |
| 29701 |
Thmoas-Guan author:Thmoas-Guan |
feat(Algebra/RingTheory): polynomial over regular ring |
In this PR, we proved that polynomial over regular ring is regular.
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|
t-ring-theory
maintainer-merge
|
171/0 |
Mathlib.lean,Mathlib/RingTheory/Ideal/MonicSpan.lean,Mathlib/RingTheory/RegularLocalRing/Polynomial.lean |
3 |
18 |
['Thmoas-Guan', 'github-actions', 'joneugster', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'riccardobrasca'] |
jjdishere assignee:jjdishere |
0-54824 15 hours ago |
0-59308 16 hours ago |
58-24913 58 days |
| 31361 |
alreadydone author:alreadydone |
feat(Algebra/Order): convex subgroups |
---
- [x] depends on: #32886
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|
t-algebra
t-order
label:t-algebra$ |
343/0 |
Mathlib.lean,Mathlib/Algebra/Order/Archimedean/Class.lean,Mathlib/Algebra/Order/Group/Convex.lean,Mathlib/Order/Birkhoff.lean,Mathlib/Order/Quotient.lean |
5 |
87 |
['Vierkantor', 'YaelDillies', 'alreadydone', 'faenuccio', 'github-actions', 'kckennylau', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'vihdzp', 'wwylele'] |
faenuccio assignee:faenuccio |
0-54527 15 hours ago |
6-36335 6 days ago |
48-77596 48 days |
| 41090 |
teorth author:teorth |
feat(MeasureTheory/MeasurableSpace/Basic): add map_comap_eq_of_surjective and measurable_comap_iff_right |
[We have nine map_comap_eq_of_surjective lemmas](https://loogle.lean-lang.org/?q=%22map_comap_eq_self_of_surjective%22) for `Submonoid`, `Subgroup`, `Subring`, etc., but were lacking one for `MeasurableSpace`. This PR adds the analogous lemma; as an application it also establishes a dual version of `measurable_comap_iff` involving composition on the right rather than the left.
---
Note: I have no applications in mind for this PR, so it can be considered low priority.
Discussed on Zulip [here](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/.60map_comap_eq_of_surjective.60.20for.20.60MeasurableSpace.60).
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-measure-probability
|
9/0 |
Mathlib/MeasureTheory/MeasurableSpace/Basic.lean |
1 |
8 |
['github-actions', 'plp127', 'teorth'] |
nobody |
0-54090 15 hours ago |
1-9428 1 day ago |
1-10686 1 day |
| 38331 |
Thmoas-Guan author:Thmoas-Guan |
feat(RingTheory/AdicCompletion): AdicCompletion of Noetherian ring is Noetherian |
For `I` an ideal of `R`, if `R/I` is Noetherian and `I` is finitely generated, the the completion of `R` wrt `I` is Noetherian.
---
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|
t-ring-theory
large-import
|
267/2 |
Mathlib/RingTheory/AdicCompletion/Noetherian.lean |
1 |
6 |
['erdOne', 'github-actions', 'mathlib-dependent-issues'] |
faenuccio assignee:faenuccio |
0-52501 14 hours ago |
27-42882 27 days ago |
27-43029 27 days |
| 38037 |
wrenna-robson author:wrenna-robson |
feat: extend `LawfulXor` lemmas and add `Equiv.xor` |
This PR extends the work of #37712 by adding additional lemmas and adding `xor-as-a-permutation`.
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|
t-data
file-removed
|
141/1 |
Mathlib.lean,Mathlib/Data/Fin/Init.lean,Mathlib/Data/LawfulXor/Basic.lean,Mathlib/Data/LawfulXor/Equiv.lean |
4 |
16 |
['eric-wieser', 'github-actions', 'mathlib-dependent-issues', 'wrenna-robson'] |
Vierkantor and wrenna-robson assignee:Vierkantor assignee:wrenna-robson |
0-51013 14 hours ago |
2-37046 2 days ago |
24-30656 24 days |
| 41092 |
wwylele author:wwylele |
feat(Analysis): characterizing and congr lemma for toMeromorphicNFAt |
The first two new lemma `toMeromorphicNFAt_of_meromorphicOrderAt_ne_zero` and `MeromorphicAt.exists_analyticAt_and_toMeromorphicNFAt_eventuallyEq` characterize the behavior of `toMeromorphicNFAt` for meromorphic function, so one no longer needs to unfold the definition of it.
The third lemma `toMeromorphicNFAt_congr` shows that two functions have equal `toMeromorphicNFAt` value at a point as long as they equal in the punctured nhds.
---
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|
t-analysis |
43/0 |
Mathlib/Analysis/Meromorphic/NormalForm.lean |
1 |
4 |
['copilot-pull-request-reviewer', 'github-actions', 'themathqueen', 'wwylele'] |
nobody |
0-48936 13 hours ago |
1-17425 1 day ago |
1-17076 1 day |
| 36605 |
martinwintermath author:martinwintermath |
feat(Geometry/Convex/Cone): Add lemmas about interaction of hull, span and negation |
Prove lemmas about the interaction of hull, span and negation.
Main additions:
* `PointedCone.toSubmodule` that produces a submodule with the same support given that `-C = C`. Also the corresponding `CanLift`
* `PointedCone.hull_neg_pair_eq_span_singleton` proving `hull R {-x, x} = R ∙ x` (simp lemma)
* `PointedCone.span_eq_hull_neg_sup_hull` proving `span R s = hull R (-s) ⊔ hull R s`
* `PointedCone.mem_span` proving `x ∈ span R C ↔ ∃ p, n ∈ C, x = p - n`
Considerations: there are several ways to express that a convex cone is a submodule:
* `-C = C`
* `-C ≤ C` or `C ≤ -C`
* `C = span R C`
* `C = C.lineal`
The consensus was that the the first option is the most direct way to express this property, which then allows to lift to a submodule.
Co-authored by: Olivia Röhrig, Kilian Rueß, Artie Khovanov
---
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|
t-convex-geometry |
65/0 |
Mathlib/Geometry/Convex/Cone/Pointed.lean |
1 |
74 |
['YaelDillies', 'artie2000', 'github-actions', 'martinwintermath', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
YaelDillies assignee:YaelDillies |
0-44588 12 hours ago |
33-37150 33 days ago |
50-37407 50 days |
| 39607 |
TentativeConvert author:TentativeConvert |
feat(Algebra/DirectSum): equivalence between direct sum indexed by ι₁ and double sum indexed by ι₂ and fibres of f : ι₁ → ι₂ |
1. Add variant `equivCongrLeft'` of `equivCongrLeft`, and corresponding `…_apply` lemma.
2. Add `…_of lemmas` for both `equivCongrLeft` and `equivCongrLeft'`.
3. Add `…of lemma` for `sigmaCurry`, i.e. `sigmaCurry_of`.
4. Add `sigmaFiberAddEquiv`: the equivalence between a direct sum indexed by a type `ι₁` and the double sum indexed by a type `ι₂` and the fibres of a map `f : ι₁ → ι₂`. Add two `…_apply` lemmas and an `…_of` lemma.
---
This is supposed to be a first step towards merging the draft PR #39356.
re 1: Mathematically, I don't see why one version should be preferred over the other, but I found the existing `equivCongrLeft` more difficult to work with when the equivalence `h : ι ≃ κ` is naturally given in the opposite direction. (I could not avoid explicit type casts through the equality `h.symm.symm = h` when defining `sigmaFiberAddEquiv` in terms of `equivCongrLeft`.)
Very unsure about the name of `equivCongrLeft'`. (I see that the name `equivCongrLeft` was chosen in analogy with `Equiv.piCongrLeft`. `Equiv.piCongrRight` looks very different, so presumably `equivCongrLeft'` should *not* be called `equivCongrRight`.)
re 4: Very unsure about the naming of the two different `…_apply` lemmas; called them `…_apply` and `…_apply'` for now. The second (`…_apply'`) cannot be a `simp` lemma as it would prevent the first (`…_apply`) from firing.
I've used Claude Opus for understanding error messages and git interaction, but everything is hand coded.
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
46/3 |
Mathlib/Algebra/DirectSum/Basic.lean |
1 |
37 |
['TentativeConvert', 'eric-wieser', 'github-actions', 'themathqueen'] |
themathqueen assignee:themathqueen |
0-43472 12 hours ago |
0-45090 12 hours ago |
37-68996 37 days |
| 41094 |
b-mehta author:b-mehta |
feat(Analysis): strengthen bounds for sin |
This PR strengthens various bounds for `Real.sin` in mathlib.
The statement `Complex.sin_bound` now has a quintic right hand side with a smaller constant. This bound is always better in the range where the theorem applies. The same is true for `Real.sin_bound`.
Since these changes broke the proof of `sin_pos_of_pos_of_le_one`, I fixed and golfed this proof.
Next `sin_gt_sub_cube` is given a tight constant, and its range of validity is extended, and the proof is the same length. A version for weak inequality, and a version with absolute value is also added.
[](https://gitpod.io/from-referrer/)
|
t-analysis |
41/46 |
Mathlib/Analysis/Complex/Trigonometric.lean,Mathlib/Analysis/Real/Pi/Bounds.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Bounds.lean |
3 |
1 |
['github-actions'] |
nobody |
0-42926 11 hours ago |
1-12404 1 day ago |
1-12910 1 day |
| 36739 |
mbkybky author:mbkybky |
feat(RingTheory): UFD criteria via height `1` prime ideals and localization |
We prove the following UFD criteria via height `1` prime ideals and localization:
1. Let `R` be a Noetherian domain. Then `R` is a UFD if and only if every height `1` prime ideal is principal.
2. Let `R` be a Noetherian domain, `x ∈ R` be a prime element. If `Rₓ` is a UFD, then `R` is also a UFD.
---
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory
maintainer-merge
|
208/2 |
Mathlib.lean,Mathlib/RingTheory/Ideal/Height.lean,Mathlib/RingTheory/Ideal/Maximal.lean,Mathlib/RingTheory/Ideal/UFD.lean,Mathlib/RingTheory/Localization/Away/Basic.lean,Mathlib/RingTheory/Localization/Away/Lemmas.lean,Mathlib/RingTheory/UniqueFactorizationDomain/Localization.lean |
7 |
32 |
['chrisflav', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mbkybky', 'tb65536'] |
chrisflav assignee:chrisflav |
0-42148 11 hours ago |
0-52018 14 hours ago |
96-54987 96 days |
| 40979 |
thefundamentaltheor3m author:thefundamentaltheor3m |
feat(NumberTheory/ArithmeticFunction/Asymptotics) |
---
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[](https://gitpod.io/from-referrer/)
|
t-number-theory
new-contributor
sphere-packing
|
37/0 |
Mathlib.lean,Mathlib/NumberTheory/ArithmeticFunction/Asymptotics.lean |
2 |
12 |
['b-mehta', 'github-actions', 'thefundamentaltheor3m'] |
loefflerd assignee:loefflerd |
0-42039 11 hours ago |
4-18922 4 days ago |
4-18695 4 days |
| 40303 |
MichaelStollBayreuth author:MichaelStollBayreuth |
feat(AlgebraicGeometry/EllipticCurve/Affine): more on `xRep` |
This PR adds explicit formulas for `xRep` of a sum of two (affine) points on a Weierstrass curve.
This will be needed on the way to the Mordell-Weil Theorem for elliptic curves.
---
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[](https://gitpod.io/from-referrer/)
|
t-algebraic-geometry |
116/0 |
Mathlib/AlgebraicGeometry/EllipticCurve/Affine/Formula.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Affine/Point.lean |
2 |
15 |
['MichaelStollBayreuth', 'Multramate', 'github-actions'] |
Multramate and mattrobball assignee:Multramate assignee:mattrobball |
0-39224 10 hours ago |
0-39727 10 hours ago |
21-38024 21 days |
| 41109 |
Deicyde author:Deicyde |
feat(Geometry/Manifold): add `ModelWithCorners.MfldCat`, the category of `C^n` manifolds on a fixed model |
Adds `ModelWithCorners.MfldCat I n`, the category of `C^n` manifolds modeled on a fixed model with corners `I`, together with its forgetful functor to `TopCat`.
Suggested by @chrisflav. See #38223 and the [Zulip Thread](https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/.2338223.20The.20Category.20of.20C.5En.20Manifolds/with/586321835) for more discussion of why this is necessary.
Boilerplate based on Yaël Dillies's `Mathlib.Algebra.Category.CommBialgCat`. This PR was prepared with assistance from Claude Code. |
t-differential-geometry |
167/0 |
Mathlib.lean,Mathlib/Geometry/Manifold/Category/MfldCat/OfModel.lean |
2 |
1 |
['github-actions'] |
nobody |
0-39005 10 hours ago |
0-39611 10 hours ago |
0-39474 10 hours |
| 41110 |
felixpernegger author:felixpernegger |
chore: remove remaining `warning.simp.varHead` excpetions |
These are all who remain (tech debt)
---
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[](https://gitpod.io/from-referrer/)
|
t-category-theory |
25/9 |
Mathlib/CategoryTheory/Sites/Precoverage.lean |
1 |
2 |
['felixpernegger', 'github-actions'] |
nobody |
0-38837 10 hours ago |
0-39544 10 hours ago |
0-39195 10 hours |
| 40980 |
thefundamentaltheor3m author:thefundamentaltheor3m |
feat(NumberTheory/Primorial): a few simple facts |
We prove
- the primorial is squarefree
- the prime factors of the primorial are precisely `primesLE`
We also add that it is non-zero (mere convenience API).
---
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[](https://gitpod.io/from-referrer/)
|
t-number-theory
new-contributor
maintainer-merge
|
13/0 |
Mathlib/NumberTheory/Primorial.lean |
1 |
10 |
['b-mehta', 'github-actions', 'loefflerd', 'thefundamentaltheor3m'] |
loefflerd assignee:loefflerd |
0-38426 10 hours ago |
0-38939 10 hours ago |
4-17620 4 days |
| 41086 |
erdOne author:erdOne |
feat(RingTheory): etale lifting property of henselian local rings |
---
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory
large-import
maintainer-merge
|
476/19 |
Mathlib.lean,Mathlib/Algebra/Algebra/Equiv.lean,Mathlib/LinearAlgebra/Dimension/Free.lean,Mathlib/RingTheory/Henselian.lean,Mathlib/RingTheory/IdempotentInstances.lean,Mathlib/RingTheory/Idempotents.lean,Mathlib/RingTheory/LocalRing/RingHom/IsIntegral.lean |
7 |
21 |
['chrisflav', 'github-actions'] |
nobody |
0-37114 10 hours ago |
0-51179 14 hours ago |
1-8846 1 day |
| 40561 |
iosephusferrum author:iosephusferrum |
feat(ModelTheory): quantifier elimination for first-order theories |
This PR introduces `HasQuantifierElimination` for first-order languages, along with some standard criteria to establish it for any language that satisfies them and prerequisite formalization `mathlib4` required on elementary extension pairs (`IsElementaryExtensionPair`) and < κ-generated substructures (`CardinalLTGenerated`). It also states and proves that the first-order theory DLO (dense linear order without endpoints) has quantifier elimination (`dlo_hasQuantifierElimination`), using the newly formalized quantifier elimination criteria.
Co-authored-by: Yağız Kaan Aydoğdu <y.kaan.aydogdu@gmail.com>
Co-authored-by: Salih Erdem Koçak <saliherdemkd@gmail.com>
Advised-by: Ayhan Günaydın <ayhan.gunaydin@bogazici.edu.tr>
Advised-by: Metin Ersin Arıcan <metin.arican@bogazici.edu.tr>
---
[](https://gitpod.io/from-referrer/)
Please note that we have utilized agentic AI tools (Claude Opus, ChatGPT Codex) during the development of this PR. Most of the proofs of the major theorems are directly "translated" from human-language source material (check the diff in `references.bib`) to Lean proofs using mentioned AI tools. However, all design/formalization decisions are made by us. |
new-contributor
LLM-generated
|
976/7 |
Mathlib.lean,Mathlib/ModelTheory/Complexity.lean,Mathlib/ModelTheory/ElementaryExtensionPair.lean,Mathlib/ModelTheory/FinitelyGenerated.lean,Mathlib/ModelTheory/Order.lean,Mathlib/ModelTheory/PartialEquiv.lean,Mathlib/ModelTheory/QuantifierElimination.lean,Mathlib/ModelTheory/Semantics.lean,Mathlib/ModelTheory/Substructures.lean,Mathlib/Tactic/Linter/TextBased/UnicodeLinter.lean,docs/references.bib |
11 |
6 |
['erdkocak', 'felixpernegger', 'github-actions'] |
nobody |
0-29545 8 hours ago |
15-32155 15 days ago |
15-32092 15 days |
| 41062 |
teorth author:teorth |
feat(MeasureTheory/MeasurableSpace/Constructions): add MeasurableSpace (Finset _) structure |
Add an instance of `MeasurableSpace (Finset _)` (derived from the existing instance of `MeasurableSpace (Set _)` and provide some basic API for this instance, in particular that this instance is `MeasurableSingletonClass` (and hence `DiscreteMeasurableSpace`, by `inferInstance`, though we leave this implicit) in the `Countable` case,
---
As an application of this instance, functions such as `(t : ℝ) ↦ ∑ n ∈ Finset.Ioc 0 ⌊t⌋₊, n` can now be verified to be `Measurable` using `fun_prop`, without needing to resort to some undocumented features of `fun_prop`. See [this Zulip thread](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Tagging.20.60measurable_from_top.60.20with.20.60fun_prop.60) for more discussion.
Note: the term `⟨ {↑S}, by simp, by ext; simp ⟩` on line 996 can be golfed to `⟨ {↑S}, by aesop ⟩` or expanded to `⟨ {↑S}, MeasurableSet.singleton _, by ext; simp ⟩`, but I am unsure whether either modification is worthwhile.
[](https://gitpod.io/from-referrer/)
|
t-measure-probability
new-contributor
maintainer-merge
|
40/0 |
Mathlib/MeasureTheory/MeasurableSpace/Constructions.lean |
1 |
9 |
['YaelDillies', 'github-actions', 'teorth'] |
nobody |
0-25810 7 hours ago |
1-56955 1 day ago |
1-66770 1 day |
| 41108 |
teorth author:teorth |
feat(Analysis/BoxIntegral): define the Riemann–Stieltjes and Riemann integrals |
Add `BoxIntegral.Box.uIoc` (intervals `(a, b]` as `Box (Fin 1)`); expand `BoxIntegral.Partition.Additive` with the additive-group structure and the differential `ofDiff`; and define `∫ˢ x in a..b, f x ∂[B; g]` in `BoxIntegral.Stieltjes.Defs` (with the Riemann integral `∫ʳ x in a..b, f x` as a special case). Supporting lemmas added to `Basic` (`integralSum_congr`, `hasIntegral_congr`) and `Partition.Measure` (`ofDiff_lsmul_eq_volume`).
---
This is the first in a planned series of PRs to develop the theory of the Riemann-Stieltjes and Riemann integrals in Mathlib, following the material in https://github.com/leanprover-community/mathlib-at-ICERM26/tree/stieltjes
In this PR, the following definitions and API are introduced:
- In the new file `Analysis.BoxIntegral.Box.Interval`, API is provided for one-dimensional boxes (objects of type `Box (Fin 1)`), which are morally non-empty `uIoc` intervals on the real line, Various one-dimensional versions of `Box` definitions and lemmas are provided (in which`Fin 1 → ℝ` is systematically replaced with `ℝ`), systematically subscripted by "1" to indicate the one-dimensionality, e.g., `Box.upper₁` is the 1-dimensional version of `Box.upper`. In particular, a `BoxIntegral.uIoc` constructor for such `Box (Fin 1)` objects is provided, with relevant API. (This was initially named `BoxIntegral.Ioc` but generated some unwanted collisions with `Set.Ioc`.)
- In `Analysis.BoxIntegral.Partition.Additive`, a `BoxAdditiveMap`, `ofDiff g`, is provided on one-dimensional boxes that assigns a measure of `g b - g a` to any interval `uIoc a b` with `a < b`. This is presented as a homomorphism on `BoxAdditiveMap` (which now supports an `AddCommGroup` structure when the range is an `AddCommGroup`.
- In the new file `Analysis.BoxIntegral.Stieltjes.Defs`, the Riemann-Stieltjes integral is defined, essentially as a `BoxIntegral` using `ofDiff`, but reflected to become anti-symmetric. The Riemann integral is then defined as the special case of the Riemann-Stieltjes integral when `g` is the identity function. The notation and basic lemmas follow those for `intervalIntegral`, for instance one has `hasStieltjesIntegral`, `StieltjesIntegrable`, and `stieltjesIntegral`.
- Some minor helper lemmas in `Analysis.BoxIntegral.Partition.Measure` and `Analysis.BoxIntegral.Basic` to support the above three main file changes.
In future PR's, basic properties of the Riemann-Stieltjes and Riemann integrals, such as linearity, integration by parts, or connections with the Lebesgue integral, will be established.
One implementation note: the Riemann-Stieltjes integral `∫ˢ x in a..b, f x ∂[B; g]` takes a bilinear form `B` as one of its arguments, in addition to the integration endpoints `a` and `b` and two functions `f` and `g`. This is in exact analogy to the vector integral, and gives the Riemann-Stieltjes integral a trilinear structure which turns out to be convenient for various manipulations (e.g., calculating a vector-valued Riemann-Stieltjes integral component by component), and covers vector-valued or complex-valued instances of the integral with ease. The Riemann integral is denoted `∫ʳ x in a..b, f x` to evoke similarity with the interval integral `∫ x in a..b, f x` (in later PRs various connections between the two integrals will be established).
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-analysis
|
743/0 |
Mathlib.lean,Mathlib/Analysis/BoxIntegral/Basic.lean,Mathlib/Analysis/BoxIntegral/Box/Interval.lean,Mathlib/Analysis/BoxIntegral/Partition/Additive.lean,Mathlib/Analysis/BoxIntegral/Partition/Measure.lean,Mathlib/Analysis/BoxIntegral/Stieltjes/Defs.lean |
6 |
4 |
['github-actions', 'teorth', 'wwylele'] |
nobody |
0-25427 7 hours ago |
0-26051 7 hours ago |
0-36644 10 hours |
| 33832 |
alreadydone author:alreadydone |
feat(Algebra): localization preserves unique factorization |
---
- [x] depends on: #33851
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t-algebra label:t-algebra$ |
173/15 |
Mathlib.lean,Mathlib/Algebra/BigOperators/Group/Finset/Basic.lean,Mathlib/Algebra/GroupWithZero/Associated.lean,Mathlib/GroupTheory/MonoidLocalization/Basic.lean,Mathlib/GroupTheory/MonoidLocalization/Divisibility.lean,Mathlib/GroupTheory/MonoidLocalization/UniqueFactorization.lean,Mathlib/RingTheory/Localization/Defs.lean |
7 |
14 |
['Vierkantor', 'alreadydone', 'dagurtomas', 'github-actions', 'mathlib4-dependent-issues-bot', 'riccardobrasca'] |
joelriou assignee:joelriou |
0-21149 5 hours ago |
22-49825 22 days ago |
38-47528 38 days |
| 36888 |
CoolRmal author:CoolRmal |
feat: generalize some lemmas by using conditional Jensen |
This PR includes two possible ways of generalizing `integral_abs_condExp_le`:
1. Replace absolute values with norms.
2. Consider absolute values defined on a lattice with a solid norm.
We also prove that if a function is in Lp then its conditional expectation is also in Lp. In order to prove these results, some of the lemmas about essSup are generalized to conditionally complete lattices.
Created with the help of Codex.
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|
t-measure-probability |
262/140 |
Mathlib/MeasureTheory/Function/ConditionalExpectation/Basic.lean,Mathlib/MeasureTheory/Function/ConditionalExpectation/CondJensen.lean,Mathlib/MeasureTheory/Function/ConditionalExpectation/Real.lean,Mathlib/MeasureTheory/Measure/Trim.lean,Mathlib/Probability/CondVar.lean,Mathlib/Probability/Martingale/BorelCantelli.lean,Mathlib/Probability/Martingale/Centering.lean |
7 |
45 |
['CoolRmal', 'EtienneC30', 'RemyDegenne', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
urkud assignee:urkud |
0-21148 5 hours ago |
23-80163 23 days ago |
35-65207 35 days |
| 38055 |
felixpernegger author:felixpernegger |
feat(Topology/EMetricSpace): add r-variation |
Redoing #37007 (I had accidently deleted my fork which nuked the PR).
See https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/p-variation for discussion.
---
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t-topology
t-analysis
|
409/0 |
Mathlib.lean,Mathlib/Topology/EMetricSpace/RVariation.lean |
2 |
3 |
['felixpernegger', 'github-actions', 'mathlib-merge-conflicts'] |
fpvandoorn assignee:fpvandoorn |
0-21148 5 hours ago |
23-18788 23 days ago |
72-77139 72 days |
| 38716 |
YaelDillies author:YaelDillies |
feat(Algebra/Order): `NNRat.cast_sub` |
From AddCombi
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|
t-algebra
large-import
label:t-algebra$ |
29/22 |
Mathlib/Algebra/Order/Field/Rat.lean,Mathlib/Algebra/Order/Ring/Rat.lean,Mathlib/Combinatorics/SetFamily/LYM.lean,Mathlib/Data/Finset/Density.lean,Mathlib/Data/NNRat/Defs.lean,Mathlib/Data/NNRat/Floor.lean,Mathlib/Data/NNRat/Order.lean,Mathlib/Data/Rat/Star.lean,Mathlib/RingTheory/Binomial.lean,Mathlib/Topology/Instances/Rat.lean |
10 |
1 |
['github-actions'] |
mattrobball assignee:mattrobball |
0-21147 5 hours ago |
57-84961 57 days ago |
58-2595 58 days |
| 39855 |
b-mehta author:b-mehta |
feat(InfiniteSum): zero function has product zero |
Prove that in a comm monoid with zero, the product of the zero function is zero.
---
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|
t-topology
easy
|
13/0 |
Mathlib/Topology/Algebra/InfiniteSum/Basic.lean |
1 |
3 |
['b-mehta', 'github-actions', 'plp127'] |
scholzhannah assignee:scholzhannah |
0-21146 5 hours ago |
32-27002 32 days ago |
32-79893 32 days |
| 41037 |
chrisflav author:chrisflav |
chore(CategoryTheory): thin categories have strict initial and terminal objects |
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|
t-category-theory |
13/0 |
Mathlib/CategoryTheory/Iso.lean,Mathlib/CategoryTheory/Limits/Shapes/StrictInitial.lean |
2 |
1 |
['github-actions'] |
dagurtomas assignee:dagurtomas |
0-21144 5 hours ago |
1-52678 1 day ago |
1-58518 1 day |
| 40950 |
bwangpj author:bwangpj |
feat(LinearAlgebra): add Yang-Baxter equation and braided vector spaces |
Define braided vector spaces and the Yang–Baxter equation. |
t-algebra label:t-algebra$ |
121/0 |
Mathlib.lean,Mathlib/LinearAlgebra/TensorProduct/YangBaxter.lean |
2 |
3 |
['github-actions', 'themathqueen'] |
nobody |
0-20288 5 hours ago |
4-60536 4 days ago |
4-60187 4 days |
| 40616 |
kim-em author:kim-em |
feat(AlgebraicGeometry/Group): add Jacobian blueprint via def_wanted/theorem_wanted |
This PR adds a blueprint of the Jacobian of a smooth, proper, geometrically irreducible curve over a field, expressed entirely through the new `def_wanted` / `theorem_wanted` / `instance_wanted` placeholder declarations. Each dependency between the wanted declarations is recorded through the `❰…❱` bracket syntax, so the placeholder types can refer to each other, without polluting the environment with `sorry` or `axiom`.
The file is adapted from Christian Merten's `JacobianChallenge.lean` in the lean-eval repository.
I hope that we will consider this as a way of "pre-reviewing" design level work for Mathlib. It should encourage contributors to fill in details, and they will know that the implementation work is desirable. It should allow us to speed up review, as if the characterisation in the design PR has already been approved it is relatively easier (or at least, a narrower problem) to review an implementation PR.
🤖 Prepared with Claude Code |
t-algebraic-geometry |
98/1 |
Mathlib.lean,Mathlib/AlgebraicGeometry/Group/Jacobian.lean,Mathlib/Tactic/Linter/TextBased/UnicodeLinter.lean |
3 |
1 |
['github-actions'] |
nobody |
0-20248 5 hours ago |
13-5880 13 days ago |
13-5717 13 days |
| 39524 |
FordUniver author:FordUniver |
feat(MeasureTheory/Integral/CurveIntegral): integrability and FTC along a line segment |
Specialises curve integration to the line segment between two points: smoothness of the segment as a `C¹` curve, sufficient conditions for a continuous one-form to be integrable along a segment, and a fundamental-theorem-of-calculus identity for the segment integral of a Fréchet derivative. Adds a new `Segment` section to `AffineMap.lean` that includes some previously existing results.
---
Used by a [planned descent-lemma PR for Lipschitz-smooth functions](https://github.com/FordUniver/mathlib4/blob/5ebc6dae88deb11410d21c0a2628f53c092bb536/Mathlib/Analysis/Calculus/LipschitzSmooth/FDeriv.lean#L133), which needs an FTC along an affine line to integrate a directional derivative over a segment. Three points to highlight:
1. I thought about renaming `curveIntegrable_segment` to `curveIntegrable_segment_iff` for consistency with the file's other `_iff`-suffixed biconditionals, but the new `_const` takes a different name slot, so the rename would be an unnecessary public API break.
2. `Path.segment_contDiffOn` is really a fact about `Path.segment` rather than about curve integration, so it would more naturally live in `Convex/PathConnected.lean`. Unfortunately that target is blocked by a build cycle (`Calculus.AddTorsor.AffineMap` already transitively imports `Convex.PathConnected` via `Convex.Topology`/`Convex.StdSimplex`), so it sits with its consumer here.
3. The new `Continuous{,On}.curveIntegrable_segment` lemmas are the obvious `@[fun_prop]` candidates, but `CurveIntegrable` isn't a registered `fun_prop` concept yet; that registration is a small design call (identity/constant/composition choices, plus tagging the file's pre-existing producers) worth its own focused review and is deferred to a follow-up. `Path.segment_contDiffOn` carries the tag since `ContDiffOn` is already registered.
- [ ] depends on: #39206
Diff for the changes *just* in this PR over its predecessor: [link](https://github.com/FordUniver/mathlib4/compare/feat/lineMap-contDiff...feat/curveIntegral-segment-FTC) |
t-measure-probability |
108/19 |
Mathlib/Analysis/Calculus/AddTorsor/AffineMap.lean,Mathlib/MeasureTheory/Integral/CurveIntegral/Basic.lean,Mathlib/MeasureTheory/Integral/CurveIntegral/Poincare.lean |
3 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
0-20246 5 hours ago |
22-47426 22 days ago |
22-49981 22 days |
| 38194 |
ryanncode author:ryanncode |
feat(LinearAlgebra/BilinearForm): add indefinite metrics |
Add the `IndefiniteMetric` structure to support vector spaces equipped with a non-degenerate, symmetric, indefinite bilinear form.
Provide the algebraic foundation for indefinite inner product spaces by formalizing the metric via `LinearMap.BilinForm` and extracting its associated quadratic form without enforcing the `IsPosSemidef` typeclass.
Previously, mathlib required strictly positive-definite metrics to instantiate inner product spaces (`InnerProductSpace`), which prevented the formalization of indefinite geometries without causing typeclass inference failures. Bridge this gap by isolating the symmetric bilinear form from topological and positivity constraints, allowing the library to handle generalized indefinite metric spaces safely.
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|
t-algebra
new-contributor
label:t-algebra$ |
47/0 |
Mathlib.lean,Mathlib/LinearAlgebra/BilinearForm/IndefiniteMetric.lean |
2 |
5 |
['dagurtomas', 'github-actions', 'mathlib-merge-conflicts', 'ryanncode'] |
nobody |
0-20245 5 hours ago |
35-64475 35 days ago |
51-33895 51 days |
| 39904 |
wwylele author:wwylele |
refactor(Analysis/Meromorphic): generalize 𝕜 → 𝕜 to 𝕜 → 𝕜' for order lemma when possible |
These lemma previously requires domain and codomain to be the same. This doesn't have to be the case.
---
I don't have a real use for this, but this is the style that Meromorphic/Basic.lean follows, so let's unify them.
I unfortunately had to duplicate the proof for `meromorphicOrderAt_mul` from `meromorphicOrderAt_smul`. They are almost the same, but I don't find a good way to unify them.
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t-analysis |
38/22 |
Mathlib/Analysis/Meromorphic/Order.lean |
1 |
1 |
['github-actions'] |
nobody |
0-20244 5 hours ago |
32-20339 32 days ago |
32-19990 32 days |
| 40252 |
EtienneC30 author:EtienneC30 |
feat: set-integral when a random variable is independent from a set |
If a random variable `X` is independent from a sigma-algebra `m` and `A` is a set in `m`, then
`∫ ω in A, f (X ω) ∂P = P.real A * ∫ ω, f (X ω) ∂P` for any `AEStronglyMeasurable` function `f`.
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|
brownian
t-measure-probability
|
29/0 |
Mathlib/Probability/Independence/Integration.lean |
1 |
1 |
['github-actions'] |
nobody |
0-20244 5 hours ago |
22-72974 22 days ago |
22-72625 22 days |
| 40143 |
SnirBroshi author:SnirBroshi |
feat(GroupTheory/PGroup): expand p-group API |
Basic properties and iffs with `orderOf`/`Nat.card`/`Monoid.exponent`.
---
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|
t-group-theory |
86/10 |
Mathlib/GroupTheory/PGroup.lean,Mathlib/GroupTheory/Sylow.lean |
2 |
21 |
['SnirBroshi', 'github-actions', 'tb65536'] |
nobody |
0-20243 5 hours ago |
21-20808 21 days ago |
21-79949 21 days |
| 41117 |
felixpernegger author:felixpernegger |
chore: "fix" some adaption notes |
Fix/Revert some adaption notes that work again etc.
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|
4/34 |
Mathlib/Algebra/Homology/SpectralObject/Page.lean,Mathlib/Analysis/Convex/StdSimplex.lean,Mathlib/CategoryTheory/Limits/Shapes/Multiequalizer.lean,Mathlib/Topology/Algebra/PontryaginDual.lean,Mathlib/Topology/Category/TopCat/GrothendieckTopology.lean |
5 |
3 |
['felixpernegger', 'github-actions', 'leanprover-radar'] |
nobody |
0-19642 5 hours ago |
0-26233 7 hours ago |
0-25884 7 hours |
| 38319 |
Zetetic-Dhruv author:Zetetic-Dhruv |
feat(Combinatorics/SetFamily): Assouad's dual VC bound |
Adds the Finset-level form of Assouad's 1983 dual VC bound: if a family
`𝒜 : Finset (Finset α)` has VC dimension at most `d`, then for any
ground set `X : Finset α` the dual family
`{𝒜.filter (· ∋ x) : x ∈ X}` has VC dimension at most `2 ^ (d + 1) - 1`.
New declarations (in `Finset` namespace):
- `dualFamily 𝒜 X`: for each `x ∈ X`, the subfamily `{A ∈ 𝒜 | x ∈ A}`
- `mem_dualFamily` (`@[simp]`): membership characterisation
- `exists_shatters_of_dualFamily_shatters`: Assouad's bitstring-coding lemma
- `vcDim_dualFamily_le`: the headline VC bound
Proof by Assouad's classical bitstring-coding argument. Sits on top of `Finset.shatterer` / `Finset.vcDim` from
`Mathlib.Combinatorics.SetFamily.Shatter`.
References:
- P. Assouad, Densite et dimension, Ann. Inst. Fourier 33(3) (1983), Thm 2.13
- J. Matousek, Lectures on Discrete Geometry, GTM 212, Springer, 2002, Section 10.3 Lemma 10.3.3
---
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|
t-combinatorics
new-contributor
|
199/0 |
Mathlib.lean,Mathlib/Combinatorics/SetFamily/DualVC.lean,docs/references.bib |
3 |
41 |
['Shreyas4991', 'YaelDillies', 'Zetetic-Dhruv', 'github-actions'] |
YaelDillies assignee:YaelDillies |
0-19179 5 hours ago |
49-32865 49 days ago |
65-79565 65 days |
| 40665 |
Yu-Misaka author:Yu-Misaka |
feat(RepresentationTheory): the character values of a finite group are algebraic integers |
Zulip link: [#Is there code for X? > Integrality of character](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Integrality.20of.20character/with/603655189)
The proof comes from Seed Prover (lean-eval) and was golfed by me.
Co-authored-by: @GanjinZero
---
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|
t-algebra
LLM-generated
label:t-algebra$ |
112/99 |
Mathlib/RepresentationTheory/Character.lean |
1 |
7 |
['Yu-Misaka', 'bwangpj', 'github-actions', 'yuanyi-350'] |
nobody |
0-14093 3 hours ago |
11-70535 11 days ago |
11-70186 11 days |
| 41104 |
mbkybky author:mbkybky |
feat(Algebra/Module/Submodule/Pointwise): `u • N = N` if `u` is a unit |
---
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|
t-algebra label:t-algebra$ |
10/6 |
Mathlib/Algebra/Module/Submodule/Pointwise.lean |
1 |
2 |
['eric-wieser', 'github-actions'] |
nobody |
0-11228 3 hours ago |
0-59107 16 hours ago |
0-58758 16 hours |
| 41101 |
YaelDillies author:YaelDillies |
feat(Data/{ENat,ENNReal,EReal}): missing coercion lemmas |
From MeanFourier
---
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|
t-data
large-import
|
33/0 |
Mathlib/Data/ENat/Basic.lean,Mathlib/Data/EReal/Basic.lean,Mathlib/Data/Real/ENatENNReal.lean |
3 |
4 |
['YaelDillies', 'eric-wieser', 'github-actions'] |
nobody |
0-6404 1 hour ago |
0-65238 18 hours ago |
0-64889 18 hours |