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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 |
96-5665 3 months ago |
79-52674 79 days ago |
112-6603 112 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 |
61-53118 2 months ago |
61-53082 61 days ago |
76-73136 76 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 |
45-30043 1 month ago |
57-6145 57 days ago |
57-6162 57 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 |
44-60120 1 month ago |
44-60182 44 days ago |
55-61329 55 days |
| 38871 |
0xTerencePrime author:0xTerencePrime |
feat(Combinatorics/SimpleGraph): add parity lemmas for outer and inner vertices |
Adds three lemmas to `SimpleGraph.DegreeSum`:
- `sum_degrees_option_zmod_two`: the handshaking lemma for `Option I` over ZMod 2
- `degree_none_zmod_two_eq_sum`: simp-normal form of the above
- `card_degree_one_option_eq_outer_zmod_two`: under degree bound ≤ 2, count of degree-1 inner vertices equals outer vertex degree mod 2 |
t-combinatorics
new-contributor
|
65/3 |
Mathlib/Combinatorics/SimpleGraph/DegreeSum.lean |
1 |
6 |
['0xTerencePrime', 'SnirBroshi', 'github-actions'] |
nobody |
43-79528 1 month ago |
44-49756 44 days ago |
44-49247 44 days |
| 38897 |
0xTerencePrime author:0xTerencePrime |
feat(Combinatorics/SetFamily): formalize 1D Sperner's Lemma parity |
Formalizes the 1-dimensional Sperner's Lemma (parity version): given a coloring of
the `n + 1` vertices of a subdivided line segment with two colors (`ZMod 2`), if the
two endpoints have different colors, then the number of color-changing edges is odd.
This is **distinct** from `IsAntichain.sperner` in `SetFamily.LYM`, which concerns
antichains in a power set. This file formalizes the topological/combinatorial parity
statement used as the base case in higher-dimensional Sperner arguments.
## Key declarations
- `SpernerColoring`: type-safe coloring via `Fin (n + 1) → ZMod 2`
- `edgeDiff`: color difference on adjacent vertices, computed in `ZMod 2`
- `totalDiff`: telescoping sum of all edge differences
- `diffEdges`: the `Finset` of bichromatic (color-changing) edges
- `sperner_1d`: main theorem — `Odd (diffEdges c).card`
## Design notes
- Using `Fin (n + 1) → ZMod 2` instead of `ℕ → ZMod 2` makes boundary conditions
unrepresentable at the type level, eliminating out-of-bounds cases entirely.
- The proof reduces to a telescoping sum in `ZMod 2`, using `CharTwo.add_self_eq_zero`
to cancel all interior vertices, avoiding parity case splits.
This is intended as the 1D base case, the approach generalizes to higher-dimensional
Sperner's Lemma in future work.
---
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|
t-combinatorics
new-contributor
|
133/0 |
Mathlib.lean,Mathlib/Combinatorics/SetFamily/Sperner1D.lean |
2 |
3 |
['github-actions', 'grunweg'] |
nobody |
43-70762 1 month ago |
43-80912 43 days ago |
43-80403 43 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 |
42-64875 1 month ago |
42-64915 42 days ago |
82-59756 82 days |
| 38667 |
SnirBroshi author:SnirBroshi |
feat(Order/Hom/Basic): equivalences of `Order{Hom/Embedding/Iso}` |
- `OrderHom`s are equivalent to `RelHom`s of `LE` (unlike `OrderEmbedding`/`OrderIso` they aren't defined using it)
- Congruence equivs for `OrderEmbedding`/`OrderIso` when the two sides are order-isomorphic. This already exists for `OrderHom`.
---
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|
t-order |
55/1 |
Mathlib/Order/Hom/Basic.lean |
1 |
3 |
['SnirBroshi', 'dagurtomas', 'github-actions'] |
nobody |
42-14103 1 month ago |
42-14103 42 days ago |
49-11115 49 days |
| 39004 |
zhuyizheng author:zhuyizheng |
chore(ModelTheory): fix hypo of `realize_liftAt` |
changes the hypo of `realize_liftAt` from the incorrect `(hmn : m + n' ≤ n + 1)` to the correct `(hmn : m ≤ n)`
---
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|
t-logic |
2/2 |
Mathlib/ModelTheory/Semantics.lean |
1 |
3 |
['github-actions', 'plp127', 'zhuyizheng'] |
nobody |
41-4614 1 month ago |
41-40743 41 days ago |
41-40234 41 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'] |
nobody |
38-69349 1 month ago |
38-69388 38 days ago |
44-13187 44 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 |
37-66390 1 month ago |
45-1198 45 days ago |
45-689 45 days |
| 39195 |
linesthatinterlace author:linesthatinterlace |
feat(Logic/Function/Defs): Add dcomp lemmas |
This PR adds API lemmas about `dcomp` that were previously missing.
---
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|
t-logic |
13/0 |
Mathlib/Logic/Function/Defs.lean |
1 |
6 |
['github-actions', 'linesthatinterlace', 'plp127'] |
nobody |
35-49607 1 month ago |
36-51106 36 days ago |
36-50597 36 days |
| 39230 |
bryangingechen author:bryangingechen |
chore: extract API from #38807 and golf |
I wanted to understand why these two proofs in #38807 were long (and also play around more with the API in this corner of the library) so I walked through them with Claude Opus.
prepared with Claude code
|
t-order
LLM-generated
|
23/37 |
Mathlib/Order/Bounds/Basic.lean,Mathlib/Order/DirSupClosed.lean |
2 |
2 |
['github-actions', 'vihdzp'] |
nobody |
35-13970 1 month ago |
36-2206 36 days ago |
36-1697 36 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 |
34-37790 1 month ago |
34-37869 34 days ago |
34-37850 34 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 |
34-9261 1 month ago |
40-60239 40 days ago |
66-39586 66 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 |
33-36524 1 month ago |
33-38614 33 days ago |
33-38105 33 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 |
80/34 |
Mathlib/Data/Finset/Sort.lean,Mathlib/Order/Hom/Set.lean,Mathlib/Order/WellFounded.lean,Mathlib/SetTheory/Ordinal/Enum.lean |
4 |
5 |
['SnirBroshi', 'github-actions', 'vihdzp'] |
nobody |
32-2748 1 month ago |
32-2820 32 days ago |
32-10907 32 days |
| 39549 |
Hagb author:Hagb |
feat(Order/RelIso/Basic): `swap`s and `compl`s are `Equiv`s |
---
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|
t-order |
13/8 |
Mathlib/Order/RelIso/Basic.lean |
1 |
3 |
['Hagb', 'github-actions', 'leanprover-radar'] |
nobody |
29-21145 29 days ago |
29-23586 29 days ago |
29-23077 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
|
398/0 |
Mathlib.lean,Mathlib/Combinatorics/DiHypergraph/Basic.lean |
2 |
4 |
['b-mehta', 'espottesmith', 'github-actions', 'mathlib4-merge-conflict-bot'] |
nobody |
29-5672 29 days ago |
74-61457 74 days ago |
132-44415 132 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 |
29-5671 29 days ago |
154-22779 154 days ago |
154-22270 154 days |
| 38906 |
lua-vr author:lua-vr |
feat(ConditionallyCompleteLattice/Indexed): add binary versions of lemmas |
Add binary versions of some of the lemmas. Those are useful when the domain is indexed over the members of a set.
From the Carleson project.
---
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|
t-order
carleson
|
21/5 |
Mathlib/Order/ConditionallyCompleteLattice/Indexed.lean |
1 |
19 |
['JovanGerb', 'SnirBroshi', 'github-actions', 'grunweg', 'lua-vr', 'mathlib-merge-conflicts'] |
nobody |
28-43729 28 days ago |
28-43794 28 days ago |
38-17198 38 days |
| 39547 |
Hagb author:Hagb |
chore(Order/Preorder/Finite): use `@[to_dual]` on lemmas about `{Min,Max}imal{For,}` |
Proofs of other theorems (e.g. in #39427) with dual theorems dependent on these lemmas would benefit from their duality.
---
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|
t-order |
11/25 |
Mathlib/Order/Preorder/Finite.lean |
1 |
4 |
['Hagb', 'github-actions', 'vihdzp'] |
nobody |
27-83749 27 days ago |
29-24007 29 days ago |
29-23498 29 days |
| 39611 |
mbkybky author:mbkybky |
feat(RingTheory): let `B` be a faithfully flat `A`-algebra, then `A` is a local ring if `B` is |
Let `B` be a faithfully flat `A`-algebra, then `A` is a local ring if `B` is.
---
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|
t-ring-theory |
13/0 |
Mathlib/RingTheory/Flat/FaithfullyFlat/Algebra.lean |
1 |
1 |
['github-actions'] |
nobody |
27-55178 27 days ago |
27-55261 27 days ago |
27-54752 27 days |
| 39607 |
TentativeConvert author:TentativeConvert |
feat(Algebra/DirectSum): equivalence between direct sum indexed by ι₁ and double sum indexed by ι₂ and fibres of f : ι₁ → ι₂ |
1. Add variant `equivCongrLeft'` of `equivCongrLeft`, and corresponding `…_apply` lemma.
2. Add `…_of lemmas` for both `equivCongrLeft` and `equivCongrLeft'`.
3. Add `…of lemma` for `sigmaCurry`, i.e. `sigmaCurry_of`.
4. Add `sigmaFiberAddEquiv`: the equivalence between a direct sum indexed by a type `ι₁` and the double sum indexed by a type `ι₂` and the fibres of a map `f : ι₁ → ι₂`. Add two `…_apply` lemmas and an `…_of` lemma.
---
This is supposed to be a first step towards merging the draft PR #39356.
re 1: Mathematically, I don't see why one version should be preferred over the other, but I found the existing `equivCongrLeft` more difficult to work with when the equivalence `h : ι ≃ κ` is naturally given in the opposite direction. (I could not avoid explicit type casts through the equality `h.symm.symm = h` when defining `sigmaFiberAddEquiv` in terms of `equivCongrLeft`.)
Very unsure about the name of `equivCongrLeft'`. (I see that the name `equivCongrLeft` was chosen in analogy with `Equiv.piCongrLeft`. `Equiv.piCongrRight` looks very different, so presumably `equivCongrLeft'` should *not* be called `equivCongrRight`.)
re 4: Very unsure about the naming of the two different `…_apply` lemmas; called them `…_apply` and `…_apply'` for now. The second (`…_apply'`) cannot be a `simp` lemma as it would prevent the first (`…_apply`) from firing.
I've used Claude Opus for understanding error messages and git interaction, but everything is hand coded.
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t-algebra
new-contributor
label:t-algebra$ |
66/1 |
Mathlib/Algebra/DirectSum/Basic.lean |
1 |
3 |
['github-actions'] |
nobody |
27-44161 27 days ago |
27-56714 27 days ago |
27-57835 27 days |
| 39624 |
justus-springer author:justus-springer |
feat(Algebra/MvPolynomial/PDeriv): a coefficient formula for `pderiv` |
This formula is useful for defining partial derivatives of multivariate power series, see PR #39626.
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|
t-algebra label:t-algebra$ |
15/0 |
Mathlib/Algebra/MvPolynomial/PDeriv.lean |
1 |
1 |
['github-actions'] |
nobody |
27-34338 27 days ago |
27-34932 27 days ago |
27-34423 27 days |
| 39625 |
justus-springer author:justus-springer |
feat(RingTheory/MvPowerSeries/Trunc): generalize truncation lemmas |
Generalize `coeff_trunc_mul_trunc_eq_coeff_mul` (and its analogs for `truncFinset` and `trunc'`) to allow for different truncation levels for the two arguments. This matches the API for univariate power series, where we already have `PowerSeries.coeff_mul_eq_coeff_trunc_mul_trunc₂`.
This is useful for defining partial derivatives of multivariate power series, see PR #39626.
---
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|
t-ring-theory |
39/7 |
Mathlib/RingTheory/MvPowerSeries/Trunc.lean |
1 |
1 |
['github-actions'] |
nobody |
27-34320 27 days ago |
27-34715 27 days ago |
27-34206 27 days |
| 33714 |
idontgetoutmuch author:idontgetoutmuch |
feat(Mathlib/Geometry/Manifold): Riemannian metrics exist II |
Supersedes https://github.com/leanprover-community/mathlib4/pull/33519
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|
t-differential-geometry
new-contributor
|
723/0 |
Mathlib.lean,Mathlib/Algebra/BigOperators/Finprod.lean,Mathlib/Geometry/Manifold/ExistsRiemannianMetric.lean,Mathlib/Geometry/Manifold/PartitionOfUnity.lean |
4 |
200 |
['Rida-Hamadani', 'github-actions', 'grunweg', 'idontgetoutmuch'] |
nobody |
27-5670 27 days ago |
58-45221 58 days ago |
103-51695 103 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 |
1 |
['github-actions'] |
nobody |
27-4124 27 days ago |
27-4205 27 days ago |
27-3696 27 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'] |
nobody |
26-48472 26 days ago |
26-52942 26 days ago |
27-13743 27 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-convex-geometry |
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 |
25-64954 25 days ago |
25-65031 25 days ago |
25-74174 25 days |
| 39687 |
TentativeConvert author:TentativeConvert |
feat(Algebra/Group/Submonoid): type class to indicate that supremum in a SubmonoidClass agrees with supremum of submonoids |
Add a type class `SubmonoidClass.IsConcreteSSup` to indicate that the canonical map `.ofClass` from a class `S` of submonoids of `M` to `Submonoid M` preserves suprema.
---
This PR implements the minimal type class assumption needed to make „pushfoward of gradings along maps of indexing sets“ – see draft PR #39356 – work in some `SetLike` generality.
Given `{S M : Type*} [SetLike S M] [Monoid M] [SubmonoidClass S M]`, we have canonical maps
```
S → Submonoid M → Set M
```
The first is `Submonoid.ofClass`, the second and the composition are `coe` maps coming from the `SetLike` structures. Depending on `S`, these maps may or may not satisfy various properties with respect the lattice structures on `Submonoid M` and `Set M`. Mathlib so far includes the type class `[IsConcreteLE S M]`, which asserts that the composition `S → Set M` is order-preserving and order-reflecting. The type class defined here asserts that the first map, `S → Submonoid M`, preserves suprema.
In examples such as `S = Subgroup M`, `S = Submodule R M`, much more is true – in these cases, `S` is a complete sublattice of `Submonoid M`. But there are also examples where only the weaker property defined here holds, e.g. `S = OpenSubgroup M` for a topological group `M`.
Note on `outParam`: I did *not* write `(M : outParam Type*)` in the assumptions of `SubmonoidClass.IsConcreteSSup` in accordance with the [DocString of `Setlike`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Data/SetLike/Basic.html#SetLike). However, we do have `(B : outParam Type*)` in the definition of `IsConcreteLE`, so perhaps I'm misinterpreting the DocString.
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new-contributor
t-algebra
label:t-algebra$ |
56/0 |
Mathlib.lean,Mathlib/Algebra/Group/Submonoid/SSup.lean |
2 |
2 |
['github-actions'] |
nobody |
25-60463 25 days ago |
25-60532 25 days ago |
25-60623 25 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 |
25-5672 25 days ago |
111-31527 111 days ago |
113-65304 113 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'] |
nobody |
24-83232 24 days ago |
24-83307 24 days ago |
24-82798 24 days |
| 39518 |
abeldonate author:abeldonate |
feat(RingTheory/LocalProperties/Projective): Projective Module theorem |
Theorem: R Noetherian, M finitely generated R-Mod. Then:
M projective iff M_m free for all m maximal
|
t-ring-theory
new-contributor
large-import
|
21/0 |
Mathlib/RingTheory/LocalProperties/Projective.lean |
1 |
9 |
['abeldonate', 'github-actions', 'mbkybky', 'vlad902'] |
nobody |
24-66587 24 days ago |
28-44206 28 days ago |
28-85952 28 days |
| 39530 |
RaggedR author:RaggedR |
feat(Combinatorics/SimpleGraph): group actions on simple graphs |
This adds the first connection between Mathlib's MulAction and SimpleGraph libraries. The GraphAction class asserts that a group action on the vertex type preserves the adjacency relation, and builds on it to define vertex-transitivity and arc-transitivity for graphs.
The GraphAction typeclass gives adj_smul_iff (the biconditional for group actions) and toIso (each group element induces a graph automorphism). The IsVertexTransitive class combines GraphAction with IsPretransitive, and IsArcTransitive requires transitivity on ordered adjacent pairs (arcs).
The main theorem is the standard characterization: a graph is arc-transitive if and only if it is vertex-transitive and locally transitive (the stabilizer of each vertex acts transitively on its neighbors). The forward direction is proved directly by composing a vertex-transporting element with a neighbor-transporting stabilizer element. The reverse direction shows that an arc-transitive graph with no isolated vertices is vertex-transitive.
These definitions are the algebraic graph theory prerequisites for formalizing coset graphs (Sabidussi's construction) and the characterization of symmetric graphs via double cosets and involutions (Lorimer's theorem).
---
LLM tools were used to assist with Lean formalization. The mathematical content is the author's own work. |
t-combinatorics
new-contributor
LLM-generated
|
130/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Action.lean |
2 |
7 |
['RaggedR', 'b-mehta', 'github-actions', 'mathlib-bors'] |
nobody |
24-55955 24 days ago |
24-55955 24 days ago |
29-23896 29 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'] |
nobody |
24-26347 24 days ago |
24-26380 24 days ago |
25-45228 25 days |
| 39763 |
NoahW314 author:NoahW314 |
feat(Algebra/GroupWithZero/Divisibility): add `mul_dvd_left_iff_isUnit` |
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|
t-algebra label:t-algebra$ |
9/0 |
Mathlib/Algebra/GroupWithZero/Divisibility.lean |
1 |
1 |
['github-actions'] |
nobody |
23-81771 23 days ago |
23-81851 23 days ago |
23-81342 23 days |
| 39765 |
vlad902 author:vlad902 |
doc(RingTheory): fix local ring doc comment |
The predicate for local rings was updated to the current definition on non-commutative semirings back in mathlib3, but the outdated comment stating that local rings are commutative rings with a unique maximal ideal has not been updated since.
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|
t-ring-theory |
4/4 |
Mathlib/RingTheory/LocalRing/Defs.lean |
1 |
1 |
['github-actions'] |
nobody |
23-64962 23 days ago |
23-65044 23 days ago |
23-64535 23 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 |
23-36501 23 days ago |
23-36569 23 days ago |
23-36359 23 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 |
1 |
['github-actions'] |
nobody |
23-3175 23 days ago |
23-3444 23 days ago |
23-2935 23 days |
| 39774 |
Hagb author:Hagb |
feat(Order/WellFounded): `WellFounded` on subtype iff the relation restricted on the subtype is `WellFounded` |
Equivalence between `WellFounded` on a subtype and `WellFounded` on the underlying type with the relation restricted on the subtype.
---
(It was a lemma for #39781, which has been closed since there would be a better proof.)
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|
t-order |
13/0 |
Mathlib/Order/WellFounded.lean |
1 |
3 |
['Hagb', 'SnirBroshi', 'github-actions'] |
nobody |
22-76066 22 days ago |
23-31338 23 days ago |
23-30829 23 days |
| 39808 |
chenson2018 author:chenson2018 |
chore(Data): refactor proofs where `grind?` fails |
These are sources of technical debt as now reported in the [weekly linting report](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Weekly.20linting.20log/with/544658968). The idea is that a successful `grind` proof can fail to report the theorems it used via `grind?`, which means that if these proofs break across toolchains that it becomes significantly harder to repair.
Most of these are fixed by squeezing the call to `grind` and unsetting `linter.tacticAnalysis.verifyGrindOnly` so they no longer appear in the weekly report. Unfortunately, this can't be on by default for performance reasons, but I highly encourage using this linter when adding any `grind` proofs.
---
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t-data
tech debt
|
69/41 |
Mathlib/Data/Bool/Basic.lean,Mathlib/Data/Bool/Set.lean,Mathlib/Data/EReal/Operations.lean,Mathlib/Data/Fin/Tuple/NatAntidiagonal.lean,Mathlib/Data/Finset/Image.lean,Mathlib/Data/Finset/Powerset.lean,Mathlib/Data/Finset/Range.lean,Mathlib/Data/Finset/SMulAntidiagonal.lean,Mathlib/Data/List/Basic.lean,Mathlib/Data/List/Chain.lean,Mathlib/Data/List/Count.lean,Mathlib/Data/List/Cycle.lean,Mathlib/Data/List/Induction.lean,Mathlib/Data/List/ReduceOption.lean,Mathlib/Data/List/Sigma.lean,Mathlib/Data/List/Sort.lean,Mathlib/Data/List/TakeDrop.lean,Mathlib/Data/List/Triplewise.lean,Mathlib/Data/Option/Basic.lean,Mathlib/Data/Set/Card.lean,Mathlib/Data/Set/Disjoint.lean,Mathlib/Data/Set/Function.lean,Mathlib/Data/Set/Insert.lean,Mathlib/Data/Sum/Order.lean |
24 |
1 |
['github-actions'] |
nobody |
22-63994 22 days ago |
22-77414 22 days ago |
22-76905 22 days |
| 39623 |
justus-springer author:justus-springer |
feat(Algebra/MvPolynomial/Basic): `coeff_C_of_ne_zero` and `coeff_add_single_C` |
These lemmas are multivariate analogs to `Polynomial.coeff_C_of_ne_zero`, `Polynomial.coeff_C_succ` and `PowerSeries.coeff_C_of_ne_zero` and `PowerSeries.coeff_succ_C`. They are useful for defining partial derivatives for multivariate power series, see PR #39626.
- [x] depends on: #39632
---
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|
t-ring-theory |
16/0 |
Mathlib/Algebra/MvPolynomial/Basic.lean,Mathlib/RingTheory/MvPowerSeries/Basic.lean |
2 |
7 |
['Hagb', 'github-actions', 'justus-springer', 'mathlib-dependent-issues', 'wwylele'] |
nobody |
22-63466 22 days ago |
22-65130 22 days ago |
27-28520 27 days |
| 39820 |
samuelchassot author:samuelchassot |
Add proof of the existence of an Eulerian walk if all vertices have even degree or if exactly vertices have odd degree |
As per the TODO open in `Trails.lean`.
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t-combinatorics
new-contributor
|
671/3 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Eulerian.lean,Mathlib/Combinatorics/SimpleGraph/Trails.lean |
3 |
8 |
['SnirBroshi', 'copilot-pull-request-reviewer', 'github-actions'] |
nobody |
22-49028 22 days ago |
22-50259 22 days ago |
22-49750 22 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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|
t-algebra label:t-algebra$ |
124/0 |
Mathlib.lean,Mathlib/Algebra/Lie/TransferInstance.lean,Mathlib/Algebra/Module/TransferInstance.lean |
3 |
2 |
['github-actions'] |
nobody |
22-46181 22 days ago |
22-46256 22 days ago |
22-47992 22 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'] |
nobody |
22-44213 22 days ago |
24-84787 24 days ago |
24-84278 24 days |
| 39829 |
or4nge19 author:or4nge19 |
feat(LinearAlgebra): basis flag lemmas and genEigenspace map |
Part 1/3 of #39139.
Introduces basis flag lemmas and intertwining `genEigenspace` map, using directly available constructors, ie introducing none (so improving on #39139)
Co-authored-by: [kuotsanhsu](https://github.com/kuotsanhsu) [learningstud@gmail.com](mailto:learningstud@gmail.com)
---
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|
t-algebra
large-import
label:t-algebra$ |
76/2 |
Mathlib/LinearAlgebra/Basis/Flag.lean,Mathlib/LinearAlgebra/Eigenspace/Basic.lean |
2 |
1 |
['github-actions'] |
nobody |
22-42020 22 days ago |
22-42078 22 days ago |
22-41596 22 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 |
22-17845 22 days ago |
23-40671 23 days ago |
24-18132 24 days |
| 39722 |
kg583 author:kg583 |
feat(Combinatorics): Link `Nat.Partition` to `YoungDiagram` |
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|
t-combinatorics
new-contributor
large-import
|
120/4 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/Partition/Basic.lean,Mathlib/Combinatorics/Enumerative/Partition/Conjugate.lean,Mathlib/Combinatorics/Young/YoungDiagram.lean |
4 |
36 |
['NoahW314', 'github-actions', 'kg583', 'wwylele'] |
nobody |
21-84054 21 days ago |
24-24863 24 days ago |
25-21929 25 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
|
128/35 |
Mathlib/Combinatorics/Enumerative/Bell.lean |
1 |
6 |
['YaelDillies', 'github-actions'] |
nobody |
21-60495 21 days ago |
25-56206 25 days ago |
25-55697 25 days |
| 38950 |
smmercuri author:smmercuri |
chore(Algebra): `coe_algHom` -> `coe_toAlgHom` |
---
There are also instances of `coe_ringHom`, `coe_linearMap` etc which I can fix in follow-up PRs
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|
78/64 |
Mathlib/Algebra/Algebra/Equiv.lean,Mathlib/Algebra/Algebra/Spectrum/Basic.lean,Mathlib/Algebra/Algebra/Subalgebra/Centralizer.lean,Mathlib/Algebra/Azumaya/Basic.lean,Mathlib/Algebra/MvPolynomial/Equiv.lean,Mathlib/AlgebraicGeometry/AffineSpace.lean,Mathlib/Analysis/CStarAlgebra/GelfandDuality.lean,Mathlib/FieldTheory/Extension.lean,Mathlib/FieldTheory/Galois/Basic.lean,Mathlib/FieldTheory/Isaacs.lean,Mathlib/FieldTheory/KummerExtension.lean,Mathlib/FieldTheory/LinearDisjoint.lean,Mathlib/FieldTheory/Minpoly/Field.lean,Mathlib/FieldTheory/SeparableDegree.lean,Mathlib/FieldTheory/SeparablyGenerated.lean,Mathlib/LinearAlgebra/Charpoly/Basic.lean,Mathlib/LinearAlgebra/TensorProduct/Subalgebra.lean,Mathlib/NumberTheory/Cyclotomic/Gal.lean,Mathlib/RingTheory/Algebraic/MvPolynomial.lean,Mathlib/RingTheory/Bialgebra/Equiv.lean,Mathlib/RingTheory/Bialgebra/Hom.lean,Mathlib/RingTheory/DividedPowerAlgebra/Init.lean,Mathlib/RingTheory/Extension/Presentation/Basic.lean,Mathlib/RingTheory/Extension/Presentation/Core.lean,Mathlib/RingTheory/GradedAlgebra/AlgHom.lean,Mathlib/RingTheory/GradedAlgebra/TensorProduct.lean,Mathlib/RingTheory/Ideal/Quotient/Operations.lean,Mathlib/RingTheory/MvPolynomial/Symmetric/FundamentalTheorem.lean,Mathlib/RingTheory/NoetherNormalization.lean,Mathlib/RingTheory/Polynomial/Cyclotomic/Factorization.lean,Mathlib/RingTheory/Smooth/Basic.lean,Mathlib/RingTheory/Smooth/IntegralClosure.lean,Mathlib/RingTheory/TensorProduct/Maps.lean |
33 |
6 |
['github-actions', 'j-loreaux', 'mathlib-merge-conflicts'] |
nobody |
21-46553 21 days ago |
21-46594 21 days ago |
37-39842 37 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 |
21-41170 21 days ago |
21-41247 21 days ago |
83-78853 83 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 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
21-28032 21 days ago |
21-28040 21 days ago |
21-30420 21 days |
| 37062 |
tannerduve author:tannerduve |
feat(Computability): Turing join and semilattice structure on Turing degrees |
## Summary
- Add `Partrec.kronecker` (equality test) and `Partrec.join` (disjoint union by parity) in `Partrec.lean`
- Prove `Nat.RecursiveIn` is closed under computable conditionals (`cond_const`, `cond`)
- Show each component reduces to the join (`left_le_join`, `right_le_join`) and the join is the least upper bound (`join_le`)
- Establish `SemilatticeSup` instance on `TuringDegree` |
t-computability
new-contributor
large-import
|
311/15 |
Mathlib/Computability/Partrec.lean,Mathlib/Computability/RecursiveIn.lean,Mathlib/Computability/TuringDegree.lean |
3 |
7 |
['Komyyy', 'github-actions', 'mathlib-merge-conflicts', 'tannerduve'] |
Komyyy assignee:Komyyy |
21-5496 21 days ago |
64-40574 64 days ago |
65-15959 65 days |
| 39935 |
FordUniver author:FordUniver |
feat(Combinatorics/SimpleGraph/Finite): LocallyFiniteOrder |
Adds an order-theoretic `LocallyFiniteOrder (SimpleGraph V)` instance (closed intervals are finite), distinct from the existing graph-theoretic `LocallyFinite` (vertex degrees) already in this file. The instance takes `DecidableLE` as an explicit hypothesis rather than routing through `Classical`, because per-graph `DecidableRel G.Adj` is value-dependent and cannot be a free global instance.
Co-authored-by: Malte Jackisch <45597826+MaltyBlanket@users.noreply.github.com>
---
Came up while writing a Möbius inversion between copy counts and induced copy counts ([WIP](https://github.com/FordUniver/mathlib4/pull/36/changes)) that sums over the closed interval `Finset.Icc G ⊤` of supergraphs. Decidability of the order plus local-finiteness of the lattice felt like a clean standalone piece to land first, before the rest of the Möbius file.
Less sure about what the conventions for declaring type class instances are in mathlib, let me know if this is not of the expected shape or should not be included at all. |
t-combinatorics |
20/0 |
Mathlib/Combinatorics/SimpleGraph/Finite.lean |
1 |
1 |
['github-actions'] |
nobody |
20-38712 20 days ago |
20-40057 20 days ago |
20-39548 20 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 |
20-36724 20 days ago |
20-79034 20 days ago |
20-78525 20 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'] |
nobody |
20-21414 20 days ago |
21-65121 21 days ago |
21-64612 21 days |
| 39802 |
vihdzp author:vihdzp |
feat: more theorems on `toBoolRing` |
---
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|
t-algebra label:t-algebra$ |
23/0 |
Mathlib/Algebra/Ring/BooleanRing.lean |
1 |
3 |
['github-actions', 'plp127'] |
nobody |
20-18018 20 days ago |
20-18153 20 days ago |
21-58594 21 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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[](https://gitpod.io/from-referrer/) |
t-logic |
88/56 |
Mathlib/ModelTheory/Definability.lean,Mathlib/ModelTheory/ElementarySubstructures.lean |
2 |
1 |
['github-actions'] |
nobody |
20-5673 20 days ago |
58-76757 58 days ago |
58-76248 58 days |
| 38815 |
dagurtomas author:dagurtomas |
feat(Tactic/CategoryTheory): extend `@[to_app]` to natural transformations |
This extends the `@[to_app]` attribute so it also generates componentwise lemmas from equalities of natural transformations between functors, while preserving the existing bicategory behavior. It also ensures generated component lemmas remain usable by dsimp when they are definitionally true. |
t-category-theory
LLM-generated
t-meta
|
148/22 |
Mathlib/Tactic/CategoryTheory/ToApp.lean,Mathlib/Util/AddRelatedDecl.lean,MathlibTest/CategoryTheory/ToApp.lean |
3 |
1 |
['github-actions'] |
nobody |
20-5669 20 days ago |
46-31172 46 days ago |
46-30717 46 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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- [ ] depends on: #30982
- [ ] depends on: #31205
- [ ] depends on: #32019
- [ ] depends on: #32021
- [ ] depends on: #32259
- [ ] depends on: #32260
- [ ] depends on: #32270
- [ ] depends on: #32273
- [ ] depends on: #32278
[](https://gitpod.io/from-referrer/)
|
t-euclidean-geometry |
98/0 |
Mathlib/Geometry/Euclidean/Angle/Incenter.lean |
1 |
8 |
['github-actions', 'jsm28', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'wwylele'] |
eric-wieser assignee:eric-wieser |
20-4531 20 days ago |
81-29625 81 days ago |
81-29852 81 days |
| 35868 |
Raph-DG author:Raph-DG |
feat(Topology): add variant of the sheaf condition which assumes non triviality of the cover |
In this PR we add in a variant of the sheaf condition which assumes the cover present in the sheaf condition is nontrivial in the sense that the indexing type is nonempty and the values of the presheaf on each element of the cover are nonempty.
---
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|
t-topology |
54/0 |
Mathlib/Topology/Sheaves/SheafCondition/UniqueGluing.lean |
1 |
5 |
['Raph-DG', 'chrisflav', 'github-actions'] |
alreadydone assignee:alreadydone |
20-4529 20 days ago |
46-64647 46 days ago |
52-41604 52 days |
| 39411 |
JovanGerb author:JovanGerb |
feat(Push): allow pushing `∀` through `∃` |
This PR adds `Classical.skolem` to the `push` set. This allows pusing a forall through an exists, which can sometimes be convenient.
This PR also removes `forall_self_imp` from the `push` set. I'm not sure why I added it in the first place - I think it is out of scope.
This PR also fixes a subtle bug in `push` which causes `push` to not be idempotent. Namely that the default value of `post` returns `.done` instead of `.continue`, causing the tactic to stop earlier than it should/
---
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|
t-meta |
9/3 |
Mathlib/Tactic/Push.lean,MathlibTest/Tactic/Push/Basic.lean |
2 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
dwrensha assignee:dwrensha |
20-4514 20 days ago |
25-52644 25 days ago |
0-6372 1 hour |
| 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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|
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'] |
mattrobball assignee:mattrobball |
19-63705 19 days ago |
19-63746 19 days ago |
62-74254 62 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'] |
Vierkantor and jcommelin assignee:Vierkantor assignee:jcommelin |
19-59622 19 days ago |
19-59622 19 days ago |
32-48419 32 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 |
1 |
['github-actions'] |
ocfnash assignee:ocfnash |
19-57204 19 days ago |
20-6287 20 days ago |
20-5799 20 days |
| 39202 |
FordUniver author:FordUniver |
feat(Analysis/Calculus/Gradient): add `toDual_gradient` and companions |
Add `toDual_gradient`, `toDual_gradientWithin`, and the composed variants `toDual_comp_gradient`, `toDual_comp_gradientWithin` — the natural inverse direction of the gradient's defining equation `∇ f x := (toDual 𝕜 F).symm (fderiv 𝕜 f x)`. These identify `(toDual 𝕜 F) (∇ f x)` with `fderiv 𝕜 f x` (and the `gradientWithin` and composed forms with the corresponding fderiv versions), making the Riesz isomorphism between the two derivative views explicit. The proofs of `DifferentiableAt.hasGradientAt` and `DifferentiableWithinAt.hasGradientWithinAt` in the same file are simplified to use them.
Co-authored-by: Sebastian Pokutta <23001135+pokutta@users.noreply.github.com>
---
Came up while formalizing the descent lemma for Lipschitz-smooth functions, where being able to switch between `LipschitzWith K (fderiv ℝ f)` and `LipschitzWith K (∇ f)` is helpful, which with this PR becomes `toDual_comp_gradient ▸ (toDual ℝ F).isometry.lipschitzWith_iff K`. Also slightly simplifies two call sites in mathlib. |
maintainer-merge |
20/5 |
Mathlib/Analysis/Calculus/Gradient/Basic.lean |
1 |
5 |
['FordUniver', 'Komyyy', 'github-actions'] |
nobody |
19-54936 19 days ago |
36-43217 36 days ago |
36-42872 36 days |
| 39973 |
tb65536 author:tb65536 |
chore(Topology/Algebra/Category/ProfiniteGrp/*): to_additivize some declarations |
This PR to_additivizes some declarations relating to profinite groups. There were a few trickier declarations that I left out of this PR for now.
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|
t-algebra
t-group-theory
t-topology
label:t-algebra$ |
28/3 |
Mathlib/Topology/Algebra/Category/ProfiniteGrp/Basic.lean,Mathlib/Topology/Algebra/Category/ProfiniteGrp/Completion.lean,Mathlib/Topology/Algebra/Category/ProfiniteGrp/Limits.lean |
3 |
2 |
['github-actions'] |
nobody |
19-44396 19 days ago |
19-44396 19 days ago |
19-43972 19 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'] |
kim-em assignee:kim-em |
19-38013 19 days ago |
19-73701 19 days ago |
82-37171 82 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'] |
nobody |
19-20837 19 days ago |
22-29467 22 days ago |
22-29200 22 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 |
19-12872 19 days ago |
19-12941 19 days ago |
81-29753 81 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
|
362/0 |
Mathlib.lean,Mathlib/RingTheory/Valuation/ValuationSpectrum.lean,Mathlib/RingTheory/Valuation/ValuativeRel/Comap.lean |
3 |
40 |
['CBirkbeck', 'adamtopaz', 'chrisflav', 'dagurtomas', 'faenuccio', 'github-actions', 'jjdishere', 'riccardobrasca'] |
alreadydone assignee:alreadydone |
19-4091 19 days ago |
63-52431 63 days ago |
63-52075 63 days |
| 38098 |
astrainfinita author:astrainfinita |
chore: make `SMul.comp.smul` `implicit_reducible` |
---
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|
t-algebra label:t-algebra$ |
2/1 |
Mathlib/Algebra/Group/Action/Defs.lean |
1 |
3 |
['astrainfinita', 'github-actions', 'leanprover-radar'] |
kim-em assignee:kim-em |
19-4090 19 days ago |
61-81825 61 days ago |
61-81316 61 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'] |
mattrobball assignee:mattrobball |
19-4089 19 days ago |
46-43170 46 days ago |
60-30820 60 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 |
182/0 |
Mathlib/Algebra/Homology/ShortComplex/Exact.lean,Mathlib/CategoryTheory/Abelian/Injective/Dimension.lean,Mathlib/CategoryTheory/Abelian/Projective/Dimension.lean |
3 |
6 |
['dagurtomas', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
adamtopaz assignee:adamtopaz |
18-82901 18 days ago |
18-83848 18 days ago |
63-56281 63 days |
| 40005 |
tautschnig author:tautschnig |
feat(Data/ZMod/Basic): isUnit characterisation in prime power moduli |
Add two lemmas characterising units in ZMod (p^n) via divisibility of the canonical lift:
isUnit_iff_not_prime_dvd_val: for prime p and n > 0,
IsUnit x ↔ ¬ p ∣ x.val.
not_isUnit_iff_prime_dvd_val: for prime p and n > 0,
¬ IsUnit x ↔ p ∣ x.val.
These specialise the existing isUnit_iff_coprime to prime power moduli, where the coprimality condition reduces to a simple divisibility check on the unique prime factor.
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|
t-data
new-contributor
|
15/0 |
Mathlib/Data/ZMod/Basic.lean |
1 |
3 |
['copilot-pull-request-reviewer', 'github-actions'] |
nobody |
18-64619 18 days ago |
18-66937 18 days ago |
18-66428 18 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 |
2 |
['github-actions'] |
nobody |
18-62016 18 days ago |
18-62086 18 days ago |
18-62272 18 days |
| 39428 |
harahu author:harahu |
chore: add an empty line after module headers |
This makes the docs easier to read.
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|
120/4 |
Archive/Imo/Imo1998Q2.lean,Archive/Imo/Imo2001Q6.lean,Archive/Imo/Imo2005Q3.lean,Archive/Imo/Imo2008Q2.lean,Archive/Imo/Imo2008Q3.lean,Archive/Imo/Imo2008Q4.lean,Counterexamples/DiscreteTopologyNonDiscreteUniformity.lean,Counterexamples/PeanoCurve.lean,Counterexamples/Pseudoelement.lean,Mathlib/Algebra/Algebra/Spectrum/Basic.lean,Mathlib/Algebra/Category/Grp/EpiMono.lean,Mathlib/Algebra/Category/ModuleCat/Stalk.lean,Mathlib/Algebra/EuclideanDomain/Field.lean,Mathlib/Algebra/EuclideanDomain/Int.lean,Mathlib/Algebra/Homology/Opposite.lean,Mathlib/Algebra/Lie/Cochain.lean,Mathlib/Algebra/Lie/Extension.lean,Mathlib/Algebra/Lie/Loop.lean,Mathlib/Algebra/MonoidAlgebra/PointwiseSMul.lean,Mathlib/Algebra/Order/AddTorsor.lean,Mathlib/Algebra/Order/Archimedean/IndicatorCard.lean,Mathlib/Algebra/Squarefree/Basic.lean,Mathlib/Algebra/Vertex/HVertexOperator.lean,Mathlib/Algebra/Vertex/VertexOperator.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/Product.lean,Mathlib/AlgebraicTopology/FundamentalGroupoid/SimplyConnected.lean,Mathlib/Analysis/Analytic/RadiusLiminf.lean,Mathlib/Analysis/Normed/Affine/Convex.lean,Mathlib/Analysis/Normed/Lp/PiLp.lean,Mathlib/Analysis/Normed/Lp/ProdLp.lean,Mathlib/Analysis/Normed/Unbundled/SeminormFromBounded.lean,Mathlib/Analysis/Normed/Unbundled/SmoothingSeminorm.lean,Mathlib/CategoryTheory/DinatTrans.lean,Mathlib/CategoryTheory/Limits/Preserves/Filtered.lean,Mathlib/CategoryTheory/Limits/Shapes/Pullback/HasPullback.lean,Mathlib/CategoryTheory/PathCategory/Basic.lean,Mathlib/CategoryTheory/Preadditive/Schur.lean,Mathlib/CategoryTheory/Sites/Abelian.lean,Mathlib/CategoryTheory/Sites/LeftExact.lean,Mathlib/CategoryTheory/Thin.lean,Mathlib/Combinatorics/Configuration.lean,Mathlib/Data/Bracket.lean,Mathlib/Data/Bundle.lean,Mathlib/Data/Finsupp/BigOperators.lean,Mathlib/Data/Nat/Squarefree.lean,Mathlib/Data/PSigma/Order.lean,Mathlib/Data/SProd.lean,Mathlib/Data/Set/Enumerate.lean,Mathlib/Data/Set/UnionLift.lean,Mathlib/Dynamics/TopologicalEntropy/CoverEntropy.lean,Mathlib/Dynamics/TopologicalEntropy/NetEntropy.lean,Mathlib/Dynamics/TopologicalEntropy/Semiconj.lean,Mathlib/FieldTheory/RatFunc/AsPolynomial.lean,Mathlib/Geometry/Manifold/Algebra/Monoid.lean,Mathlib/Geometry/Manifold/Diffeomorph.lean,Mathlib/Geometry/Manifold/IsManifold/InteriorBoundary.lean,Mathlib/GroupTheory/CommutingProbability.lean,Mathlib/LinearAlgebra/Multilinear/Curry.lean,Mathlib/LinearAlgebra/RootSystem/Finite/CanonicalBilinear.lean,Mathlib/LinearAlgebra/RootSystem/Hom.lean,Mathlib/LinearAlgebra/RootSystem/OfBilinear.lean,Mathlib/LinearAlgebra/RootSystem/RootPairingCat.lean,Mathlib/LinearAlgebra/RootSystem/WeylGroup.lean,Mathlib/Logic/Lemmas.lean,Mathlib/MeasureTheory/Function/EssSup.lean,Mathlib/MeasureTheory/Group/Prod.lean,Mathlib/ModelTheory/PartialEquiv.lean,Mathlib/NumberTheory/ClassNumber/AdmissibleAbs.lean,Mathlib/NumberTheory/ClassNumber/AdmissibleAbsoluteValue.lean,Mathlib/NumberTheory/ClassNumber/Finite.lean,Mathlib/NumberTheory/Cyclotomic/Discriminant.lean,Mathlib/NumberTheory/Cyclotomic/PrimitiveRoots.lean,Mathlib/NumberTheory/FLT/Four.lean,Mathlib/NumberTheory/FLT/Three.lean,Mathlib/NumberTheory/NumberField/Basic.lean,Mathlib/NumberTheory/NumberField/Completion/FinitePlace.lean,Mathlib/NumberTheory/NumberField/Cyclotomic/Basic.lean,Mathlib/NumberTheory/NumberField/Cyclotomic/Embeddings.lean,Mathlib/NumberTheory/NumberField/Cyclotomic/PID.lean,Mathlib/NumberTheory/NumberField/Cyclotomic/Three.lean,Mathlib/NumberTheory/NumberField/Discriminant/Basic.lean,Mathlib/NumberTheory/NumberField/Discriminant/Defs.lean,Mathlib/NumberTheory/NumberField/EquivReindex.lean,Mathlib/NumberTheory/NumberField/ExistsRamified.lean,Mathlib/NumberTheory/NumberField/House.lean,Mathlib/NumberTheory/NumberField/Norm.lean,Mathlib/NumberTheory/NumberField/Units/DirichletTheorem.lean,Mathlib/Order/Bounded.lean,Mathlib/Probability/Distributions/Uniform.lean,Mathlib/RepresentationTheory/Rep/Res.lean,Mathlib/RingTheory/AdicCompletion/RingHom.lean,Mathlib/RingTheory/Conductor.lean,Mathlib/RingTheory/Coprime/Lemmas.lean,Mathlib/RingTheory/DedekindDomain/AdicValuation.lean,Mathlib/RingTheory/DedekindDomain/FiniteAdeleRing.lean,Mathlib/RingTheory/DedekindDomain/Instances.lean,Mathlib/RingTheory/HahnSeries/Addition.lean,Mathlib/RingTheory/HahnSeries/Binomial.lean,Mathlib/RingTheory/HahnSeries/Multiplication.lean,Mathlib/RingTheory/HahnSeries/PowerSeries.lean |
120 |
3 |
['github-actions', 'grunweg', 'mathlib-merge-conflicts'] |
nobody |
18-57949 18 days ago |
19-67949 19 days ago |
26-35188 26 days |
| 39941 |
mkaratarakis author:mkaratarakis |
feat(Data/List): add count lemmas for duplicate detection |
## Summary
Add general list count lemmas used in the Perron–Frobenius quiver-path development:
- `List.mem_tail_of_count_ge_two`
- `List.exists_pos_get_of_dropLast_count_ge_two`
Relocated from the PF-specific file per review feedback. Proofs use upstream `List.Duplicate` API and `grind` where appropriate (per @chenson2018).
Part of the Perron–Frobenius formalization (with @or4nge19).
## Test plan
- [x] `lake build Mathlib.Data.List.Count`
- [x] `lake build Mathlib.Combinatorics.Quiver.Path.PerronFrobenius` (on integration branch)
cc @or4nge19 for review |
t-data |
24/0 |
Mathlib/Data/List/Count.lean |
1 |
3 |
['chenson2018', 'github-actions', 'mkaratarakis'] |
nobody |
18-44561 18 days ago |
20-26271 20 days ago |
20-26362 20 days |
| 38856 |
SnirBroshi author:SnirBroshi |
feat(Order/ConditionallyCompleteLattice/Indexed): `iSup_iSup_eq_{left/right}` for `ConditionallyCompleteLinearOrderBot` |
and `≤` versions for `ConditionallyCompleteLattice`.
---
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t-order |
32/9 |
Mathlib/Order/CompleteLattice/Basic.lean,Mathlib/Order/ConditionallyCompleteLattice/Indexed.lean |
2 |
1 |
['github-actions'] |
nobody |
18-44035 18 days ago |
44-80517 44 days ago |
44-80008 44 days |
| 40019 |
grunweg author:grunweg |
chore: golf using fun_prop |
Partially enabled through #35683.
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|
14/30 |
Mathlib/Analysis/Convex/Contractible.lean,Mathlib/Condensed/Discrete/LocallyConstant.lean,Mathlib/Condensed/Light/Sequence.lean,Mathlib/MeasureTheory/Constructions/Polish/Basic.lean,Mathlib/MeasureTheory/Function/SpecialFunctions/Basic.lean |
5 |
1 |
['github-actions'] |
nobody |
18-38593 18 days ago |
18-38662 18 days ago |
18-38153 18 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'] |
nobody |
18-36784 18 days ago |
18-36870 18 days ago |
18-36361 18 days |
| 40020 |
kbuzzard author:kbuzzard |
wip |
---
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t-algebra label:t-algebra$ |
38/27 |
Mathlib/Algebra/Group/Pi/Basic.lean |
1 |
4 |
['github-actions', 'kbuzzard', 'leanprover-radar'] |
nobody |
18-36184 18 days ago |
18-37028 18 days ago |
18-36519 18 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 |
18-35363 18 days ago |
23-21439 23 days ago |
23-20930 23 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'] |
mattrobball assignee:mattrobball |
18-31179 18 days ago |
18-31179 18 days ago |
28-79553 28 days |
| 37712 |
eric-wieser author:eric-wieser |
feat: add a `LawfulXor` typeclass |
I've put this in mathlib since it can use `Function.Involutive`; it can of course be upstreamed at a later date.
Having this generalization encourages downstream code in cslib to be expressed in terms of involutive functions, rather than just `^^^` on bitvectors.
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t-data |
130/0 |
Mathlib.lean,Mathlib/Data/LawfulXor.lean |
2 |
6 |
['eric-wieser', 'github-actions', 'linesthatinterlace'] |
TwoFX assignee:TwoFX |
18-4332 18 days ago |
42-5302 42 days ago |
48-83785 48 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'] |
ocfnash assignee:ocfnash |
18-4330 18 days ago |
40-21530 40 days ago |
48-6930 48 days |
| 37951 |
martinwintermath author:martinwintermath |
chore(Geometry/Convex/Cone): rework `PointedCone.dual` to take a cone as input in place of a set |
Rework `PointedCone.dual` to take as input a cone instead of a set. This is done to untangle the functionality of `PointedCone.dual` from `PointedCone.hull` and to align it with the signature of its submodule analogue `Submodule.orthogonalBilin`. See also the discussion here: [#mathlib4 > Reorganizing bilinearity and orthogonality?](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Reorganizing.20bilinearity.20and.20orthogonality.3F/with/583882414).
Main changes:
* change signature `dual (s : Set M)` to `dual (C : PointedCone R M)`.
* deprecate `dual_hull` since now obsolete in this form, instead add `mem_dual_hull` in addition to `mem_dual`.
* deprecate all of `dual_empty`, `dual_zero` and `dual_singleton_zero` in favor of only `dual_bot`.
* deprecate `dual_univ` in favor of `dual_top`.
* add notation `R ∙₊ x` in analogy to submodule version `R ∙ x`, for use in new lemma `dual_hull_singleton`.
* deprecate `dual_insert` since now obsolete (use `Submodule.span_insert` instead).
* deprecate `dual_union`, `dual_iUnion` and `dual_sUnion` in favor of `dual_sup`, `dual_sSup` and `dual_iSup`.
* remove `dual_sup` since now obsolete and name has been reused (see above).
* add `dual_sup_ker` and `dual_univ_eq_ker` to align with (proposed) submodule analogue for `Submodule.orthogonalBilin`.
* deprecate `dual_image` in favor of `dual_map`
* add `hull_eq` (cone version of `span_eq`) since used in `basis_coord_mem_dual`.
* adjust doc-strings
Numerous changes to other files have been necessary. The dual-variants for proper cones or inner product spaces have not yet been adapted to cone-inputs, though this should happen eventually. The definition of `DualFG` has been changed to "duals of `FG`-cones" instead of "duals of finite sets" (also getting rid of `Finset` as previously requested).
---
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|
t-convex-geometry |
227/128 |
Mathlib/Analysis/Convex/Cone/Dual.lean,Mathlib/Analysis/Convex/Cone/InnerDual.lean,Mathlib/Analysis/Convex/Cone/TensorProduct.lean,Mathlib/Geometry/Convex/Cone/Dual.lean,Mathlib/Geometry/Convex/Cone/DualFinite.lean,Mathlib/Geometry/Convex/Cone/Pointed.lean,Mathlib/Geometry/Convex/Cone/TensorProduct.lean |
7 |
5 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
17-65171 17 days ago |
17-65252 17 days ago |
48-79416 48 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.
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|
t-data |
11/32 |
Mathlib/Analysis/SpecialFunctions/Gaussian/GaussianIntegral.lean,Mathlib/Data/Real/Basic.lean,Mathlib/Topology/Algebra/Valued/NormedValued.lean |
3 |
12 |
['JovanGerb', 'eric-wieser', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts'] |
TwoFX assignee:TwoFX |
17-61997 17 days ago |
17-62037 17 days ago |
59-30598 59 days |
| 39506 |
b-mehta author:b-mehta |
feat(Data/Complex/Basic): add simproc to reduce powers of I |
This is enabled by default to make eg i^5 simplify automatically.
We intentionally require the exponent to be a numeral, as this is intended to be a reduction statement, and for symbolic `n`, the lemma `I_pow_eq_pow_mod` should be used instead.
Note that we can't have `I_pow_eq_pow_mod` as a simp lemma due to looping.
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|
t-data |
65/5 |
Mathlib/Algebra/Group/Defs.lean,Mathlib/Analysis/Meromorphic/FactorizedRational.lean,Mathlib/Analysis/SpecialFunctions/Elliptic/Weierstrass.lean,Mathlib/Data/Complex/Basic.lean,MathlibTest/Simproc/IPow.lean |
5 |
15 |
['Paul-Lez', 'b-mehta', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
17-56570 17 days ago |
17-56606 17 days ago |
30-1959 30 days |
| 34271 |
gasparattila author:gasparattila |
feat(Topology/Sets): second-countability of `(Nonempty)Compacts` |
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|
t-topology |
17/76 |
Mathlib/Topology/MetricSpace/Closeds.lean,Mathlib/Topology/Sets/VietorisTopology.lean |
2 |
9 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'scholzhannah'] |
PatrickMassot assignee:PatrickMassot |
17-3873 17 days ago |
39-21838 39 days ago |
76-30232 76 days |
| 38095 |
astrainfinita author:astrainfinita |
perf(Algebra/*/{InjSurj, TransferInstance}): reduce instance `Expr`s |
---
We can not just use `fast_instance%`, because `fast_instance%` reduces instances into constructor applications, but their arguments may still not be reduced.
This PR continues the work from #13795.
Original PR: https://github.com/leanprover-community/mathlib4/pull/13795
[Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/instance.20unfolding.20phenomenon/) |
t-algebra label:t-algebra$ |
401/219 |
Mathlib/Algebra/Field/Basic.lean,Mathlib/Algebra/Field/TransferInstance.lean,Mathlib/Algebra/Group/Action/Defs.lean,Mathlib/Algebra/Group/Action/TransferInstance.lean,Mathlib/Algebra/Group/InjSurj.lean,Mathlib/Algebra/Group/TransferInstance.lean,Mathlib/Algebra/GroupWithZero/Action/Defs.lean,Mathlib/Algebra/GroupWithZero/Action/End.lean,Mathlib/Algebra/GroupWithZero/Action/TransferInstance.lean,Mathlib/Algebra/GroupWithZero/InjSurj.lean,Mathlib/Algebra/Module/Defs.lean,Mathlib/Algebra/Module/RingHom.lean,Mathlib/Algebra/Ring/InjSurj.lean,Mathlib/Algebra/Ring/TransferInstance.lean,Mathlib/Util/TermReduce.lean,scripts/noshake.json |
16 |
7 |
['astrainfinita', 'github-actions', 'leanprover-radar'] |
kim-em assignee:kim-em |
17-3869 17 days ago |
61-81420 61 days ago |
61-83441 61 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'] |
mariainesdff assignee:mariainesdff |
17-3866 17 days ago |
36-32786 36 days ago |
36-32277 36 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'] |
alreadydone assignee:alreadydone |
17-3864 17 days ago |
21-77261 21 days ago |
25-16221 25 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 |
17-324 17 days ago |
17-361 16 days ago |
21-567 21 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 |
16-77989 16 days ago |
24-7066 24 days ago |
33-14762 33 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'] |
nobody |
16-76425 16 days ago |
24-19565 24 days ago |
24-19056 24 days |
| 37073 |
kim-em author:kim-em |
feat: add wrap_instance% using core's wrapInstance |
This PR adds a new `wrap_instance%` term elaborator that delegates to Lean core's
`wrapInstance` (from https://github.com/leanprover/lean4/pull/12897), and replaces ~53
`fast_instance%` call sites where the replacement is safe.
`wrap_instance%` is a thin wrapper (~15 lines) around `Lean.Meta.wrapInstance`. Like
`fast_instance%`, it reduces instances to constructor applications and reuses canonical
sub-instances. Unlike `fast_instance%`, it works at `instances` transparency and delegates all
normalization logic to core.
The replaced sites cover:
- Equiv/type-alias transfers (WithAbs, WithConv, WithVal, WithLp, TransferInstance)
- Surjective constructors (Con, RingCon quotients, module congruences)
- DFunLike leaf instances (MultilinearMap, ContinuousMultilinearMap, AlternatingMap, Intertwining)
- Quotient instances (LinearAlgebra/Quotient/Defs)
- inferInstanceAs% sites (StandardPart, Presentation/Core)
- Miscellaneous (InfiniteAdeleRing, ZMod)
This PR *doesn't* attempt to replace all `fast_instance%`; it gets more complicated!
🤖 Prepared with Claude Code |
|
88/59 |
Mathlib/Algebra/Algebra/TransferInstance.lean,Mathlib/Algebra/Module/Congruence/Defs.lean,Mathlib/Algebra/WithConv.lean,Mathlib/Analysis/Normed/Lp/WithLp.lean,Mathlib/Analysis/Normed/Ring/WithAbs.lean,Mathlib/Data/ZMod/Basic.lean,Mathlib/GroupTheory/Congruence/Defs.lean,Mathlib/LinearAlgebra/Alternating/Basic.lean,Mathlib/LinearAlgebra/Multilinear/Basic.lean,Mathlib/LinearAlgebra/Quotient/Defs.lean,Mathlib/RepresentationTheory/Intertwining.lean,Mathlib/RingTheory/Extension/Presentation/Core.lean,Mathlib/Tactic/FastInstance.lean,Mathlib/Topology/Algebra/Module/Alternating/Basic.lean,Mathlib/Topology/Algebra/Module/Multilinear/Basic.lean,Mathlib/Topology/Algebra/Valued/WithVal.lean |
16 |
12 |
['JovanGerb', 'github-actions', 'kim-em', 'leanprover-radar', 'mathlib-merge-conflicts'] |
nobody |
16-58894 16 days ago |
20-28069 20 days ago |
50-17298 50 days |
| 36605 |
martinwintermath author:martinwintermath |
feat(Geometry/Convex/Cone): Add lemmas about interaction of hull, span and negation |
Prove lemmas about the interaction of hull, span and negation.
Main additions:
* `PointedCone.toSubmodule` that produces a submodule with the same support given that `-C = C`. Also the corresponding `CanLift`
* `PointedCone.hull_neg_pair_eq_span_singleton` proving `hull R {-x, x} = R ∙ x` (simp lemma)
* `PointedCone.span_eq_hull_neg_sup_hull` proving `span R s = hull R (-s) ⊔ hull R s`
* `PointedCone.mem_span` proving `x ∈ span R C ↔ ∃ p, n ∈ C, x = p - n`
Considerations: there are several ways to express that a convex cone is a submodule:
* `-C = C`
* `-C ≤ C` or `C ≤ -C`
* `C = span R C`
* `C = C.lineal`
The consensus was that the the first option is the most direct way to express this property, which then allows to lift to a submodule.
Co-authored by: Olivia Röhrig, Kilian Rueß, Artie Khovanov
---
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|
t-convex-geometry |
65/0 |
Mathlib/Geometry/Convex/Cone/Pointed.lean |
1 |
66 |
['artie2000', 'github-actions', 'martinwintermath', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
16-43065 16 days ago |
22-22575 22 days ago |
39-22731 39 days |
| 39729 |
grunweg author:grunweg |
chore(Geometry/Manifold): make some doc-strings follow the style guide |
such as, by them beginning with the object they are defining as a subject.
This will yield much better doc-strings for the differential geometry elaborators in #39677.
It also increases conformance with the [documentation style guide](https://github.com/leanprover/lean4/blob/master/doc/style.md).
Inspired by the MI retreat in Lisbon.
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|
t-differential-geometry |
32/22 |
Mathlib/Geometry/Manifold/ContMDiff/Defs.lean,Mathlib/Geometry/Manifold/MFDeriv/Defs.lean,Mathlib/Geometry/Manifold/MFDeriv/NormedSpace.lean |
3 |
3 |
['github-actions', 'grunweg', 'mathlib-merge-conflicts'] |
PatrickMassot assignee:PatrickMassot |
16-38907 16 days ago |
16-39009 16 days ago |
25-6872 25 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 |
6/8 |
Mathlib/Dynamics/TopologicalEntropy/DynamicalEntourage.lean,Mathlib/Topology/UniformSpace/Ultra/Constructions.lean |
2 |
6 |
['chenson2018', 'github-actions', 'vihdzp'] |
nobody |
16-34080 16 days ago |
18-14264 18 days ago |
18-13755 18 days |
| 40081 |
xroblot author:xroblot |
chore(Algebra/Algebra/Subalgebra): lower priority of Module instance |
Lower the priority of `Subalgebra.instModuleSubtypeMem` from default (1000) to `low` (100).
This instance uses `inferInstance`, which re-triggers typeclass synthesis and can be expensive
to succeed. Lowering the priority makes it a fallback when cheaper paths are available.
Benchmark results show no regressions and meaningful speedups on several files
(up to -23% on `Mathlib.LinearAlgebra.TensorProduct.Subalgebra`).
:robot: Prepared with Claude Code |
t-algebra label:t-algebra$ |
1/1 |
Mathlib/Algebra/Algebra/Subalgebra/Basic.lean |
1 |
7 |
['github-actions', 'leanprover-radar', 'plp127', 'xroblot'] |
nobody |
16-23126 16 days ago |
16-24365 16 days ago |
16-23898 16 days |
| 38489 |
Jun2M author:Jun2M |
feat(Topology/Algebra/InfiniteSum): Generalize ENNReal lemmas |
This PR generalizes many theorems in Topology/Algebra/InfiniteSum/ENNReal.lean from `ENNREal` to any type that satisfies a list of order-related instances, mostly
`[CommMonoid α] [CompleteLattice α] [CanonicallyOrderedMul α] [TopologicalSpace α] [SupConvergenceClass α]`
Deprecation of the original `ENNReal` lemmas are done in the next PR: #38193.
Related Zulip thread: [#Is there code for X? > Summing `ENat`s without topology](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Summing.20.60ENat.60s.20without.20topology/with/588756615)
---
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|
t-topology |
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'] |
alreadydone assignee:alreadydone |
16-3626 16 days ago |
37-17101 37 days ago |
53-6637 53 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'] |
nobody |
15-65449 15 days ago |
19-56411 19 days ago |
20-57298 20 days |
| 38431 |
joelriou author:joelriou |
refactor(Topology): redefine Delta-generated spaces |
Delta-generated spaces are made particular cases of `X`-generated spaces, where `X` is the family of spaces `Fin n → ℝ`.
---
- [x] depends on: #38080
- [x] depends on: #37799
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t-topology
large-import
|
144/211 |
Mathlib/Topology/Category/DeltaGenerated.lean,Mathlib/Topology/Compactness/DeltaGeneratedSpace.lean,Mathlib/Topology/Convenient/Category.lean,Mathlib/Topology/Convenient/GeneratedBy.lean |
4 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
PatrickMassot assignee:PatrickMassot |
15-43875 15 days ago |
15-43952 15 days ago |
39-49901 39 days |
| 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).
This removes the definitional equality of the type in favour of a structure. Since most of the time users will be working with the `sSup` versions and not with `IsLUB`, I think this is justified. As a consequence, this removes the definitional equality between `LeftOrdContinuous` and `RightOrdContinuous` of the dual – the latter could be redefined to re-add this, but we do have conversion functions.
`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
|
52/38 |
Mathlib/Order/OrdContinuous.lean,Mathlib/Order/SemiconjSup.lean,Mathlib/Topology/Order/Basic.lean |
3 |
12 |
['SabrinaJewson', 'astrainfinita', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
Komyyy assignee:Komyyy |
15-19039 15 days ago |
15-30491 15 days ago |
67-32525 67 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 |
15-18154 15 days ago |
19-23289 19 days ago |
19-73094 19 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 |
15-17352 15 days ago |
21-4635 21 days ago |
21-4126 21 days |
| 40025 |
artie2000 author:artie2000 |
chore(Data/SetLike/Basic): generalise instance |
* Generalise the standard `IsConcreteLE` instance from `PartialOrder.ofSetLike` to `LE.ofSetLike`
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t-data |
8/4 |
Mathlib/Data/SetLike/Basic.lean |
1 |
4 |
['github-actions', 'leanprover-radar', 'vihdzp'] |
nobody |
15-10975 15 days ago |
18-32863 18 days ago |
18-32354 18 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'] |
eric-wieser assignee:eric-wieser |
15-3694 15 days ago |
81-29614 81 days ago |
81-29865 81 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 |
15-3691 15 days ago |
60-19956 60 days ago |
60-19447 60 days |
| 38223 |
Deicyde author:Deicyde |
feat(Geometry/Manifold): add `MfldCat`, the category of `C^n` manifolds |
We define `MfldCat 𝕜 n`: the category of `C^n` manifolds over a field `𝕜`, following the pattern of `TopCat` in
`Mathlib.Topology.Category.TopCat.Basic`. We also implement `HasForget₂ (MfldCat 𝕜 n) TopCat`—the forgetful functor into the category of topological spaces. For more discussion see the Zulip thread: [#PR reviews > #38223 The Category of C^n Manifolds](https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/.2338223.20The.20Category.20of.20C.5En.20Manifolds/with/587038032)
Also added: `ContMDiffMap.id_apply`, `.coe_id` and `.coe_comp` which are comparable to `ContinuousMap` API.
### Future work
- ✅ Define a Monoidal structure via product manifolds, analogous to `Manifold.Topology.Category.TopCat.Monoidal` #38560
- ✅ Define the tangent functor: `M ↦ TM`, `F ↦ F.tangentMap` from `MfldCat (n+1) 𝕜` to `MfldCat n 𝕜` #38270
- Functor `FGModuleCat 𝕜 ⥤ MfldCat 𝕜 n` sending a finite-dimensional `𝕜`-vector space to the manifold modeled on itself. Left as `TODO`.
- Define `FGModuleCat 𝕜` as an enriched category over `MfldCat n 𝕜`. Then _smooth functors_ can be realized as endofunctors on the enriched category. This is the main motivation for this construction.
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|
t-differential-geometry
new-contributor
t-category-theory
|
224/0 |
Mathlib.lean,Mathlib/Geometry/Manifold/Category/MfldCat/Basic.lean,Mathlib/Geometry/Manifold/ContMDiffMap.lean |
3 |
57 |
['Deicyde', 'chrisflav', 'dagurtomas', 'github-actions', 'idontgetoutmuch', 'peabrainiac'] |
joelriou assignee:joelriou |
15-3690 15 days ago |
39-23849 39 days ago |
52-73456 52 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 |
14-77359 14 days ago |
17-57955 17 days ago |
17-57446 17 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'] |
kex-y assignee:kex-y |
14-25861 14 days ago |
28-26652 28 days ago |
28-26143 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 |
14-22979 14 days ago |
19-45285 19 days ago |
19-44776 19 days |
| 36202 |
vihdzp author:vihdzp |
feat: more theorems on the Cantor normal form |
We also remove some redundant assumptions.
Used in the CGT repo.
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|
t-set-theory |
68/17 |
Mathlib/SetTheory/Ordinal/CantorNormalForm.lean |
1 |
21 |
['SnirBroshi', 'YaelDillies', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
14-5669 14 days ago |
83-61841 83 days ago |
102-53293 102 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'] |
joneugster assignee:joneugster |
14-3358 14 days ago |
49-56510 49 days ago |
66-54212 66 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'] |
riccardobrasca assignee:riccardobrasca |
14-3346 14 days ago |
49-43548 49 days ago |
49-43039 49 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'] |
joneugster assignee:joneugster |
14-3343 14 days ago |
41-44151 41 days ago |
41-43772 41 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'] |
mattrobball assignee:mattrobball |
14-2574 14 days ago |
14-2630 14 days ago |
46-26815 46 days |
| 36739 |
mbkybky author:mbkybky |
feat(RingTheory): UFD criteria via height `1` prime ideals and localization |
We prove the following UFD criteria via height `1` prime ideals and localization:
1. Let `R` be a Noetherian domain. Then `R` is a UFD if and only if every height `1` prime ideal is principal.
2. Let `R` be a Noetherian domain, `x ∈ R` be a prime element. If `Rₓ` is a UFD, then `R` is also a UFD.
- [x] depends on: #37627
- [x] depends on: #38933
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|
t-ring-theory |
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 |
28 |
['chrisflav', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mbkybky', 'tb65536'] |
chrisflav assignee:chrisflav |
13-79108 13 days ago |
13-79183 13 days ago |
85-44044 85 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'] |
nobody |
13-63213 13 days ago |
13-63295 13 days ago |
18-30028 18 days |
| 39850 |
Ljon4ik4 author:Ljon4ik4 |
feat: Lie-Rinehart subalgebras introduced |
This PR introduces subalgebras of Lie-Rinehart algebras. It defines the corresponding structures, introduces some basic api and shows that a Lie-Rinehart subalgebra is again a Lie-Rinehart algebra.
Most of the code was copied and adapted from `Mathlib/Algebra/Lie/Subalgebra.lean`, however I am not aware of a way to reuse the results from there without copy/pasting them. I also noticed a problem with the namespace of a few simp lemmas in `LieRinehartAlgebra/Defs.lean` and corrected it.
There are a few design decisions that I am not sure about:
* There is one structure, which only needs `[Module A L]` and `[LieRing L]` to be defined. Then additional properties are added along the file whenever needed. It is a little strange to have a `LieRinehartSubalgebra` of something which is not a `LieRinehartalgebra`, but I don't know what a better solution would be
* The structure only uses `A, L` and not `R`, so `R` has to be explicitly passed to the functions later in the file.
AI use disclaimer: I used claude to search for lemmas/ understand error messages / proofreading and feedback, but did not use it for generating the code.
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t-algebra label:t-algebra$ |
267/2 |
Mathlib.lean,Mathlib/Algebra/LieRinehartAlgebra/Defs.lean,Mathlib/Algebra/LieRinehartAlgebra/Subalgebra.lean |
3 |
1 |
['github-actions'] |
ocfnash assignee:ocfnash |
13-46083 13 days ago |
22-17354 22 days ago |
22-17742 22 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 |
13-43533 13 days ago |
13-43898 13 days ago |
13-43389 13 days |
| 40179 |
grunweg author:grunweg |
chore: add further tests for the title checks around capitalisation |
---
- [x] depends on: #40177
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t-linter
CI
|
4/0 |
MathlibTest/ValidatePRTitle.lean |
1 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
13-40529 13 days ago |
13-46172 13 days ago |
13-51634 13 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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[](https://gitpod.io/from-referrer/)
|
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'] |
nobody |
13-37863 13 days ago |
13-40303 13 days ago |
13-43648 13 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
|
19/0 |
Mathlib/Tactic/Linter/DocString.lean,MathlibTest/Linter/DocString.lean |
2 |
7 |
['github-actions', 'jeangud', 'joneugster'] |
joneugster assignee:joneugster |
13-32710 13 days ago |
13-32783 13 days ago |
15-6307 15 days |
| 40197 |
plp127 author:plp127 |
feat: valuation of an algebraic element |
We prove that if `x` is algebraic over `K` then there exists some `n ≠ 0` such that the valuation of `x` raised to the `n`-th power is equal to the valuation of some element of `K`.
---
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|
t-ring-theory |
67/0 |
Mathlib.lean,Mathlib/RingTheory/Valuation/Algebraic.lean |
2 |
1 |
['github-actions'] |
nobody |
13-25743 13 days ago |
13-25829 13 days ago |
13-25320 13 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 |
13-5672 13 days ago |
46-16392 46 days ago |
78-64963 78 days |
| 39582 |
plp127 author:plp127 |
chore: unsimp `Set.coe_setOf` |
See [#mathlib4 > `Set.coe_setOf` @ 💬](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/.60Set.2Ecoe_setOf.60/near/579579409)
---
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|
t-data |
52/56 |
Archive/Imo/Imo1987Q1.lean,Mathlib/AlgebraicTopology/SimplicialSet/StdSimplex.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Inverse.lean,Mathlib/CategoryTheory/GradedObject/Monoidal.lean,Mathlib/CategoryTheory/Sites/Coherent/RegularSheaves.lean,Mathlib/CategoryTheory/Sites/IsSheafFor.lean,Mathlib/CategoryTheory/Sites/Sieves.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Finite.lean,Mathlib/Data/Set/Basic.lean,Mathlib/Data/Set/Finite/Lattice.lean,Mathlib/FieldTheory/SeparablyGenerated.lean,Mathlib/GroupTheory/Perm/Finite.lean,Mathlib/LinearAlgebra/RootSystem/OfBilinear.lean,Mathlib/NumberTheory/KummerDedekind.lean,Mathlib/RingTheory/DedekindDomain/Ideal/Lemmas.lean |
15 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
13-4984 13 days ago |
13-5025 13 days ago |
19-17832 19 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'] |
mattrobball assignee:mattrobball |
13-3301 13 days ago |
32-56152 32 days ago |
33-29619 33 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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[](https://gitpod.io/from-referrer/)
|
t-data |
2/2 |
Mathlib/Data/Vector/Basic.lean,Mathlib/Data/Vector/Defs.lean |
2 |
4 |
['BoltonBailey', 'github-actions', 'leanprover-radar'] |
joneugster assignee:joneugster |
13-3295 13 days ago |
29-7881 29 days ago |
38-21002 38 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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[](https://gitpod.io/from-referrer/)
|
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'] |
joneugster assignee:joneugster |
13-3293 13 days ago |
29-30850 29 days ago |
33-40720 33 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'] |
mattrobball assignee:mattrobball |
13-3291 13 days ago |
13-76191 13 days ago |
32-31853 32 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'] |
jcommelin assignee:jcommelin |
13-3288 13 days ago |
24-27775 24 days ago |
24-27266 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'] |
bryangingechen assignee:bryangingechen |
13-3283 13 days ago |
20-65172 20 days ago |
20-64769 20 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 |
11 |
['eric-wieser', 'github-actions', 'j-loreaux', 'khwilson', 'mathlib-dependent-issues'] |
nobody |
13-2949 13 days ago |
13-33633 13 days ago |
13-34129 13 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'] |
nobody |
13-2096 13 days ago |
13-49501 13 days ago |
13-48992 13 days |
| 40174 |
kim-em author:kim-em |
fix: add BatteriesRecycling to the Mathlib cache allowlist |
This PR adds the `BatteriesRecycling` module root to `isPartOfMathlibCache` in `Cache/IO.lean`, so that `lake exe cache` hashes, stores, and retrieves its oleans.
The batteries "recycling" refactor introduced a new top-level `BatteriesRecycling` library: [leanprover-community/batteries#1792 "chore: deprecate `Batteries.RBMap` declarations"](https://github.com/leanprover-community/batteries/pull/1792) created it (declaring the Lake library in `lakefile.toml` and moving the `RBTree` implementation there), and [leanprover-community/batteries#1793 "chore: deprecate the SatisfiesM / MonadSatisfying API"](https://github.com/leanprover-community/batteries/pull/1793) added the `MonadSatisfying` implementation. `Batteries.Data.RBMap.Basic` and `Batteries.Classes.SatisfiesM` re-import these, so Mathlib depends on them transitively. Because `isPartOfMathlibCache` keys on `mod.getRoot`, the new `BatteriesRecycling.*` modules fall outside the cache, so `lake build --no-build --rehash Mathlib` reports `BatteriesRecycling.MonadSatisfying.Basic` and `BatteriesRecycling.RBTree.Basic` as out-of-date in CI's cache-verification step.
Master does not yet observe this (it still pins batteries `v4.31.0-rc1`, which predates the refactor), but `nightly-testing` does, and master will too once it updates batteries onto a recycling-era release.
🤖 Prepared with Claude Code |
CI |
1/0 |
Cache/IO.lean |
1 |
5 |
['TwoFX', 'github-actions', 'grunweg'] |
nobody |
12-77783 12 days ago |
12-77783 12 days ago |
12-86017 12 days |
| 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 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
12-77426 12 days ago |
16-28307 16 days ago |
16-28294 16 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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[](https://gitpod.io/from-referrer/)
|
t-analysis
t-algebra
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 |
5 |
['astrainfinita', 'github-actions', 'leanprover-radar'] |
nobody |
12-61245 12 days ago |
14-63231 14 days ago |
14-62722 14 days |
| 39437 |
ooovi author:ooovi |
feat(Geometry/Convex/ConvexSpace): show that an `AffineMap` `IsAffineMap` |
Show that `Convexity.IsAffineMap` generalises `AffineMap`s between affine spaces.
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|
t-convex-geometry |
30/3 |
Mathlib/Geometry/Convex/ConvexSpace/AffineSpace.lean,Mathlib/Geometry/Convex/ConvexSpace/Defs.lean |
2 |
5 |
['Paul-Lez', 'github-actions', 'mathlib-merge-conflicts', 'ooovi'] |
nobody |
12-60775 12 days ago |
12-60851 12 days ago |
30-79085 30 days |
| 39727 |
vihdzp author:vihdzp |
feat: stationary sets |
We define stationary sets as sets intersecting all club sets, and prove basic theorems about them.
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|
t-set-theory
maintainer-merge
|
154/22 |
Mathlib/Order/Cofinal.lean,Mathlib/SetTheory/Cardinal/Cofinality/Club.lean |
2 |
11 |
['YaelDillies', 'github-actions', 'plp127', 'vihdzp'] |
nobody |
12-58282 12 days ago |
12-58362 12 days ago |
25-10185 25 days |
| 40220 |
riccardobrasca author:riccardobrasca |
feat: add prime_units_mul and variants |
From flt-regular.
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|
t-algebra label:t-algebra$ |
15/0 |
Mathlib/Algebra/Prime/Lemmas.lean |
1 |
1 |
['github-actions'] |
nobody |
12-49073 12 days ago |
12-49158 12 days ago |
12-48649 12 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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|
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'] |
nobody |
12-45422 12 days ago |
12-50682 12 days ago |
12-52355 12 days |
| 38054 |
chrisflav author:chrisflav |
feat(RingTheory): category of finite étale algebras over a separably closed field |
We define the category of finite étale `R`-algebras for a ring `R` and show it is equivalent to `FintypeCat` if `R` is a separably closed field.
From Pi1.
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
220/0 |
Mathlib.lean,Mathlib/FieldTheory/IntermediateField/Adjoin/Basic.lean,Mathlib/RingTheory/Etale/Basic.lean,Mathlib/RingTheory/Etale/Finite.lean,Mathlib/RingTheory/TensorProduct/Maps.lean,Mathlib/RingTheory/TotallySplit.lean |
6 |
6 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
12-45237 12 days ago |
12-45313 12 days ago |
13-41927 13 days |
| 39868 |
JuanCoRo author:JuanCoRo |
feat(Algebra/Polynomial): linearity of `divByMonic` and adjacent results |
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This PR adds the `R`-linearity of the monic polynomial division map `_ /ₘ q`. It also adds adjacent results that stem from this work.
#### Refactors:
- Reuses the proofs from `add_modByMonic` and `smul_modByMonic` to generalize these results to `add_div_modByMonic` and `smul_div_modByMonic` respectively.
- Replaces the proofs of `add_modByMonic` and `smul_modByMonic` as specializations of the more general theorems `add_div_modByMonic` and `smul_div_modByMonic` respectively.
#### Additions:
- Adds the necessary results for `_ /ₘ q` linearity:
- `add_divByMonic : (p₁ + p₂) /ₘ q = p₁ /ₘ q + p₂ /ₘ q`
- `smul_divByMonic : c • p /ₘ q = c • (p /ₘ q)`
- Adds `_ /ₘ q` as an `R`-linear map:
- `divByMonicHom`: definition of `_ /ₘ q` as a linear map
- `mem_ker_divByMonic`: kernel characterization for `_ /ₘ q`.
- In `Div.lean` adds dual results for `/ₘ` that were already present for `%ₘ`
- `neg_divByMonic : (-p) /ₘ q = -(p /ₘ q)`
- `sub_divByMonic : (p₁ - p₂) /ₘ q = p₁ /ₘ q - p₂ /ₘ q`
- `mul_divByMonic_assoc (hd : q ∣ p₂) : (p₁ * p₂) /ₘ q = p₁ * (p₂ /ₘ q)`
While `mul_divByMonic_assoc` is not exactly the dual of `mul_modByMonic`, I thought it wouldn't hurt to add it.
[](https://gitpod.io/from-referrer/) |
new-contributor
t-algebra
label:t-algebra$ |
54/17 |
Mathlib/Algebra/Polynomial/Div.lean,Mathlib/Algebra/Polynomial/RingDivision.lean |
2 |
8 |
['JuanCoRo', 'github-actions', 'wwylele'] |
nobody |
12-41515 12 days ago |
18-55332 18 days ago |
18-54902 18 days |
| 40232 |
riccardobrasca author:riccardobrasca |
feat: add zeta_sub_one_dvd_intCast_iff and related declarations |
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|
|
25/0 |
Mathlib/NumberTheory/NumberField/Cyclotomic/Ideal.lean,Mathlib/RingTheory/RootsOfUnity/CyclotomicUnits.lean |
2 |
1 |
['github-actions'] |
nobody |
12-35855 12 days ago |
12-36746 12 days ago |
12-36237 12 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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|
|
18/2 |
docs/1000.yaml |
1 |
8 |
['BoltonBailey', 'github-actions', 'wwylele'] |
nobody |
12-24483 12 days ago |
12-25272 12 days ago |
12-25987 12 days |
| 38310 |
ZRTMRH author:ZRTMRH |
feat(Combinatorics/Quiver/Schreier): word evaluation and reachability |
Adds word evaluation and reachability results to the Schreier graph API.
* `SchreierGraph.evalWord` : evaluates a word `List (S × Bool)` as an element of the ambient group, where `(s, true)` contributes `ι s` and `(s, false)` contributes `(ι s)⁻¹`.
* `SchreierGraph.evalWord_eq_lift` : agreement with `FreeGroup.lift`.
* `SchreierGraph.evalWord_mem_closure` : every word evaluates into the subgroup generated by `ι`.
* `SchreierGraph.pathFromWord` : a Bool-tagged word yields a path in `Symmetrify (SchreierGraph V ι)` from `x` to `evalWord ι w • x`.
* `SchreierGraph.reachable_iff` : two vertices are connected by a path in the symmetrification iff some element of the subgroup closure carries one to the other.
Follow-up to #36320.
This PR was written with AI assistance (Claude). The code has been reviewed by the author.
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-combinatorics
large-import
LLM-generated
|
157/0 |
Mathlib/Combinatorics/Quiver/Schreier.lean |
1 |
2 |
['github-actions'] |
b-mehta assignee:b-mehta |
12-3948 12 days ago |
57-24542 57 days ago |
57-24033 57 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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[](https://gitpod.io/from-referrer/)
|
t-combinatorics
large-import
|
83/3 |
Mathlib/Combinatorics/Graph/Basic.lean |
1 |
9 |
['Jun2M', 'SnirBroshi', 'eric-wieser', 'github-actions', 'mathlib-bors'] |
b-mehta assignee:b-mehta |
12-3947 12 days ago |
55-18570 55 days ago |
56-74404 56 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'] |
joelriou assignee:joelriou |
12-3945 12 days ago |
46-70386 46 days ago |
46-74260 46 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'] |
themathqueen assignee:themathqueen |
12-3941 12 days ago |
39-49919 39 days ago |
39-49410 39 days |
| 39472 |
NoahW314 author:NoahW314 |
feat(RingTheory/MvPolynomial/Homogeneous): add homogeneous lemmas |
---
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[](https://gitpod.io/from-referrer/)
|
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'] |
riccardobrasca assignee:riccardobrasca |
12-3939 12 days ago |
31-26466 31 days ago |
31-26151 31 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'] |
joneugster assignee:joneugster |
12-3936 12 days ago |
28-59395 28 days ago |
28-59500 28 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 |
13/0 |
Mathlib/Topology/Algebra/InfiniteSum/Basic.lean |
1 |
3 |
['b-mehta', 'github-actions', 'plp127'] |
PatrickMassot assignee:PatrickMassot |
12-3935 12 days ago |
21-12427 21 days ago |
21-65158 21 days |
| 39449 |
Paul-Lez author:Paul-Lez |
doc: add library note about scoping simp lemmas with weak keys |
In PR #39262 I noticed that some `simp` lemmas were scoped for a reason that is not immediately obvious, so I figured that adding a library note would be nice in case anyone else runs into this in the future (this pattern is quite common in Mathlib!)
In case it's helpful for review, here are links to a few of the PRs that added this scoping initially:
- #14233
- #15620
- #15631
---
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|
71/4 |
Mathlib.lean,Mathlib/Algebra/AddConstMap/Basic.lean,Mathlib/Algebra/CharP/Two.lean,Mathlib/Algebra/GradedMonoid.lean,Mathlib/Algebra/Ring/BooleanRing.lean,Mathlib/Algebra/Ring/CharZero.lean,Mathlib/Tactic.lean,Mathlib/Tactic/SimpLibraryNote.lean |
8 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
12-3831 12 days ago |
12-3831 12 days ago |
25-11074 25 days |
| 38334 |
8e7 author:8e7 |
feat(Combinatorics/SimpleGraph/TreeDecomp): define tree decompositions |
Add definition for tree decompositions on simple graphs. Define the tree width of a simple graph and prove basic statements and conversions.
```lean
structure TreeDecomp (G : SimpleGraph V) where
/-- The type of bags in the tree. -/
W : Type
/-- The set of vertices in each bag. -/
𝓧 : W → Finset V
/-- The graph adjacency relation of bags. -/
T : SimpleGraph W
/-- T must be a tree. -/
isTree : IsTree T
/-- All vertices in G must appear in some bag. -/
vertexCover : ∀ v : V, ∃ w : W, v ∈ 𝓧 w
/-- For any edge (u, v) in G, there is a bag containing both u and v. -/
edgeCover ⦃u v : V⦄ : G.Adj u v → ∃ w : W, u ∈ 𝓧 w ∧ v ∈ 𝓧 w
/-- For any vertex v in G, the set of bags that contain v is preconnected. -/
connectedBags : ∀ v : V, (T.induce ({w | v ∈ 𝓧 w})).Preconnected
```
AI Usage: Some proofs are written with the help of Claude Code, and everything has been manually reviewed.
---
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-combinatorics
LLM-generated
|
382/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/TreeDecomp.lean |
2 |
7 |
['8e7', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
11-84871 11 days ago |
11-85735 11 days ago |
12-20879 12 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 |
11-80879 11 days ago |
11-82349 11 days ago |
11-81840 11 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'] |
EtienneC30 assignee:EtienneC30 |
11-65157 11 days ago |
12-65588 12 days ago |
24-50472 24 days |
| 39982 |
riccardobrasca author:riccardobrasca |
feat: add Ideal.IsPrincipal.of_isPrincipal_pow_of_coprime |
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|
t-ring-theory |
31/0 |
Mathlib/RingTheory/ClassGroup/Basic.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
mariainesdff assignee:mariainesdff |
11-55945 11 days ago |
11-56769 11 days ago |
19-45 19 days |
| 39161 |
alreadydone author:alreadydone |
feat(LinearAlgebra): commutative semirings satisfy strong rank condition |
Co-authored-by: Aristotle (Harmonic) <aristotle-harmonic@harmonic.fun>
Thanks to ChatGPT and Gemini for converting part of Yi-Jia Tan's paper into LaTeX, which served as solutions provided to Aristotle.
---
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|
t-algebra
LLM-generated
label:t-algebra$ |
282/27 |
Mathlib.lean,Mathlib/GroupTheory/Perm/Sign.lean,Mathlib/LinearAlgebra/Matrix/Nonsingular.lean,Mathlib/LinearAlgebra/Matrix/SemiringInverse.lean,docs/references.bib |
5 |
3 |
['SnirBroshi', 'github-actions'] |
nobody |
11-46202 11 days ago |
11-55082 11 days ago |
11-55923 11 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'] |
urkud assignee:urkud |
11-45836 11 days ago |
12-4213 12 days ago |
61-62404 61 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 |
11-34309 11 days ago |
11-35158 11 days ago |
11-34649 11 days |
| 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'] |
Vierkantor assignee:Vierkantor |
11-34258 11 days ago |
11-35250 11 days ago |
27-32793 27 days |
| 39122 |
justus-springer author:justus-springer |
feat(AlgebraicGeometry/Birational): Birationality and rationality of schemes |
This is a first step (of hopefully many) towards some basic birational geometry. This PR adds `Birational/Birational.lean`, which defines predicates `Birational`, `BirationalOver` and `IsRationalOver` for arbitrary schemes and provides basic API (e.g. that they are equivalence relations, and that affine space is rational).
Some notes on the choice of definitions: There are multiple ways to define what it means for
two schemes to be birational to each other. A common one is: "There exists a
rational map with a rational inverse". However, this would require defining composition of
rational maps, which is not always defined (In order to compose `f : X ⤏ Y` with `g : Y ⤏ Z`, you
need at least `X` preirreducible, `Y` nonempty and `f` dominant). On the other hand, I can define
"There exist dense subsets `U : Opens X` and `V : Opens Y` such that `U ≅ V` as schemes" for
any two schemes `X` and `Y`, with no conditions. Hence I chose that as a definition. I'm also
working on defining composition of rational maps (#39445), and once that's done, there should be a theorem
connecting the two definitions.
- [x] depends on: #39316
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t-algebraic-geometry
maintainer-merge
|
295/0 |
Mathlib.lean,Mathlib/AlgebraicGeometry/Birational/Birational.lean,Mathlib/AlgebraicGeometry/Restrict.lean |
3 |
31 |
['chrisflav', 'erdOne', 'github-actions', 'justus-springer', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
chrisflav and joelriou assignee:joelriou assignee:chrisflav |
11-28197 11 days ago |
11-47633 11 days ago |
33-15258 33 days |
| 40269 |
b-mehta author:b-mehta |
feat(Combinatorics/SimpleGraph): neighborSet and neighborFinset of lattice operations |
From the exponential-ramsey project
---
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t-combinatorics |
63/0 |
Mathlib/Combinatorics/SimpleGraph/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Finite.lean |
2 |
1 |
['github-actions'] |
nobody |
11-25280 11 days ago |
11-26462 11 days ago |
11-25953 11 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'] |
mattrobball assignee:mattrobball |
11-23732 11 days ago |
11-23764 11 days ago |
24-72392 24 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 |
11-12271 11 days ago |
11-13176 11 days ago |
11-12667 11 days |
| 40280 |
mrdouglasny author:mrdouglasny |
feat(Analysis/Calculus/ParametricIntegral): one-sided differentiation under the integral |
Adds `hasDerivWithinAt_Ici_integral_of_dominated_loc_of_deriv_le`, the within-`Ici x₀` (right) analogue of `hasDerivAt_integral_of_dominated_loc_of_deriv_le`: differentiation under the integral sign where the derivative bound is required only on a **right**-neighborhood `s ∈ 𝓝[≥] x₀`, concluding `HasDerivWithinAt (fun x ↦ ∫ a, F x a ∂μ) (∫ a, F' x₀ a ∂μ) (Ici x₀) x₀`.
### Motivation
The existing two-sided theorem needs the domination on a full neighborhood of `x₀`. That fails for parametric integrals dominated only on one side — e.g. Gibbs / partition-function families `g ↦ ∫ A e ^ (-g • V)` where `V` is bounded below but not above, so the weight is integrable only for `g ≥ 0` (the Dyson-instability situation in constructive QFT). One still wants the one-sided derivative at the boundary.
### Proof
Rather than re-running the dominated-convergence argument, `F` is extended across `x₀` by its affine first-order part below `x₀`,
`G x a = if x₀ ≤ x then F x a else F x₀ a + (x - x₀) • F' x₀ a`,
which is two-sided dominated (the affine part has constant derivative `F' x₀ a`, bounded by `bound a`). The existing two-sided theorem applies to `G`, and since `G = F` on `Ici x₀`, the conclusion restricts to the desired `HasDerivWithinAt`.
I'm happy to adjust naming, or to generalize to an arbitrary set `t` (`𝓝[t] x₀`) if reviewers prefer — that would need the direct dominated-convergence proof rather than the extension trick.
|
t-analysis
new-contributor
|
105/0 |
Mathlib/Analysis/Calculus/ParametricIntegral.lean |
1 |
2 |
['github-actions'] |
nobody |
11-6039 11 days ago |
11-6986 11 days ago |
11-6654 11 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'] |
themathqueen assignee:themathqueen |
11-4291 11 days ago |
36-23161 36 days ago |
37-60882 37 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'] |
joelriou assignee:joelriou |
11-4289 11 days ago |
24-49900 24 days ago |
40-19160 40 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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|
t-ring-theory |
15/6 |
Mathlib/Data/Finsupp/MonomialOrder.lean,Mathlib/RingTheory/MvPolynomial/Groebner.lean |
2 |
1 |
['github-actions'] |
joneugster assignee:joneugster |
11-4280 11 days ago |
30-83129 30 days ago |
30-83147 30 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'] |
EtienneC30 assignee:EtienneC30 |
11-4279 11 days ago |
11-32851 11 days ago |
11-35246 11 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'] |
RemyDegenne assignee:RemyDegenne |
11-4268 11 days ago |
11-58399 11 days ago |
11-57890 11 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'] |
alreadydone assignee:alreadydone |
10-84417 10 days ago |
54-8053 54 days ago |
56-76650 56 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 |
10-78227 10 days ago |
10-83421 10 days ago |
10-84918 10 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'] |
nobody |
10-67464 10 days ago |
10-67464 10 days ago |
28-32914 28 days |
| 40246 |
SaarShai author:SaarShai |
feat(NumberTheory): Farey sequences, mediants, and the neighbour theorem |
Adds a new file `Mathlib/NumberTheory/Farey/Basic.lean` formalizing the **Farey sequence as an object** and the elementary **mediant / Stern–Brocot** theory underneath it. The Farey sequence `F n`, its length, and its neighbour theorem are currently absent from Mathlib.
## What this adds
- `Farey.farey n : Finset ℚ` — the Farey sequence `F n` (reduced rationals in `[0,1]` with denominator `≤ n`), with the membership characterization `Farey.mem_farey`.
- `Farey.card_farey` — **the length of the Farey sequence**: `|F n| = 1 + ∑_{k=1}^n φ(k)` (Euler totient). Sanity-checked `|F₁|=2, |F₂|=3, |F₃|=5`.
- `Farey.neighbour_unimodular` — **the Farey neighbour theorem** (Hardy–Wright, Thm 28): consecutive Farey fractions `a/b < c/d` satisfy `b*c − a*d = 1`. Restated on the `farey n` object as `Farey.unimodular_of_consecutive`.
- The mediant / unimodular-neighbour core: `Farey.Unimodular`, the mediant preserves the determinant and lands in lowest terms (`Unimodular.isCoprime_mediant`); the denominator bound `Unimodular.den_ge_of_strictBetween` (the mediant is the unique simplest fraction strictly between two neighbours); the Stern–Brocot chain step `isFareyChain_insert_mediant`; and the gap formula `Unimodular.rat_sub : c/d − a/b = 1/(b*d)`.
## Why
The Farey sequence is a standard classical object (Hardy–Wright, Ch. III) currently absent from Mathlib. Mathlib has the continued-fraction convergent determinant identity and Legendre's theorem, but those concern the convergents of a *single* real — a different object from `F n`. This fills the gap and provides reusable infrastructure for continued fractions, Diophantine approximation, and equidistribution.
## Scope / honesty
These are formalizations of **classical, known** results (Hardy–Wright Ch. III; Graham–Knuth–Patashnik §4.5). The value is machine-checked Mathlib infrastructure and named theorems, **not** new mathematics; nothing here bears on open problems.
## Verification
- Builds with `lake build` exit 0, **zero warnings**; `runLinter` passes; `lint-style` clean (all lines ≤ 100 codepoints).
- `#print axioms` for every main result (`card_farey`, `mem_farey`, `neighbour_unimodular`, `unimodular_of_consecutive`, `Unimodular.den_ge_of_strictBetween`, `isFareyChain_insert_mediant`, `Unimodular.rat_sub`) reports only `[propext, Classical.choice, Quot.sound]` — sorry-free.
## Notes for review
- `farey 0 = {1}` is a degenerate boundary case (the intended object is `n ≥ 1`); `card_farey` holds for all `n`, while `mem_farey` is stated for `n ≥ 1`.
- Proof of `card_farey`: partition `F n` into the endpoint `1` plus, for each denominator `1 ≤ q ≤ n`, the level `{a/q : 0 ≤ a < q, gcd(a,q)=1}` of size `Nat.totient q` (disjoint by denominator).
- References: Hardy & Wright — neighbour identity = Theorem 28 (Ch. III §3.1), mediant = Theorem 29; `|F n| = Φ(n) + 1` is the §18.5 (p. 268) remark preceding the asymptotic Theorem 331; OEIS A005728. Graham–Knuth–Patashnik, *Concrete Mathematics* 2nd ed. §4.5.
- File placement (`NumberTheory/Farey/`) and naming are tentative — happy to move/rename per maintainer preference.
This PR was prepared with AI assistance; all proofs are machine-checked by Lean and axiom-audited as above.
|
t-number-theory
new-contributor
LLM-generated
|
434/0 |
Mathlib.lean,Mathlib/NumberTheory/Farey/Basic.lean |
2 |
6 |
['MichaelStollBayreuth', 'felixpernegger', 'github-actions', 'grunweg'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
10-51598 10 days ago |
11-74713 11 days ago |
11-74204 11 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 |
4 |
['github-actions', 'plp127', 'riccardobrasca'] |
nobody |
10-49809 10 days ago |
10-50646 10 days ago |
19-86157 19 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 assignee:erdOne |
10-46309 10 days ago |
10-49583 10 days ago |
19-54627 19 days |
| 38071 |
JovanGerb author:JovanGerb |
feat(Convert): less aggressive congruence |
This PR tries to make `convert` behave more predictably, disabling some of the aggressive congruence steps that `congr!` does. In particular, when the two sides have a different head constants, then we should not use congruence on these applications.
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|
t-meta |
19/56 |
Mathlib/Analysis/Complex/Exponential.lean,Mathlib/Data/Fin/Tuple/Basic.lean,Mathlib/Data/List/Perm/Basic.lean,Mathlib/Tactic/Convert.lean,MathlibTest/Tactic/Convert/Basic.lean |
5 |
7 |
['JovanGerb', 'Vierkantor', 'github-actions', 'joneugster', 'mathlib-merge-conflicts'] |
Vierkantor and joneugster assignee:Vierkantor assignee:joneugster |
10-40811 10 days ago |
10-40811 10 days ago |
10-45547 10 days |
| 40297 |
alreadydone author:alreadydone |
feat(LinearAlgebra/Contraction): bijectivity of `dualTensorHom` + generalize to `CommSemiring` |
migrated from #25284
---
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|
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 |
10-37797 10 days ago |
10-40205 10 days ago |
10-39696 10 days |
| 40300 |
xroblot author:xroblot |
feat(FieldTheory/IntermediateField): add eq_of_le_iff_finrank_eq(') |
Adds the iff-strengthenings of `IntermediateField.eq_of_le_of_finrank_eq` and `eq_of_le_of_finrank_eq'`:
- `eq_of_le_iff_finrank_eq`: for `F ≤ E` with `[E : K]` finite, `F = E ↔ finrank K F = finrank K E`.
- `eq_of_le_iff_finrank_eq'`: for `F ≤ E` with `[L : F]` finite, `F = E ↔ finrank F L = finrank E L`.
:robot: This PR was extracted from the [SKW project](https://github.com/xroblot/SKW) by Claude. |
t-algebra label:t-algebra$ |
12/0 |
Mathlib/FieldTheory/IntermediateField/Algebraic.lean |
1 |
1 |
['github-actions'] |
nobody |
10-36745 10 days ago |
10-37957 10 days ago |
10-37448 10 days |
| 37718 |
SabrinaJewson author:SabrinaJewson |
feat(Order): add conversions from `Std` order typeclasses to Mathlib ones |
`{Preorder, PartialOrder, LinearOrder}.ofStd` exist to facilitate convenient translation from `Std` order typeclasses to Mathlib ones.
The design is modelled closely after [`Init.Data.Order.PackageFactories`](https://leanprover-community.github.io/mathlib4_docs/Init/Data/Order/PackageFactories.html) (`Std.PreorderPackage` is equivalent-ish to Mathlib’s `Preorder`, and same for partial and linear orders). The `OfStdArgs` types allow conveniently bundling a whole bunch of default arguments together in a way that allows one default argument set to `extends` another.
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|
t-order
new-contributor
maintainer-merge
|
391/0 |
Mathlib.lean,Mathlib/Order/Std.lean,MathlibTest/OrderOfStd.lean |
3 |
9 |
['SabrinaJewson', 'YaelDillies', 'github-actions'] |
nobody |
10-34342 10 days ago |
26-12576 26 days ago |
71-6409 71 days |
| 39107 |
SnirBroshi author:SnirBroshi |
feat(Geometry/Manifold/ChartedSpace): `H ≃ₜ M` → `ChartedSpace H M` |
---
I thought it was strange that `Homeomorph`s didn't have this easy dot-notation, though I'm not familiar with this part of the library so I might be missing something.
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|
t-differential-geometry |
6/0 |
Mathlib/Geometry/Manifold/ChartedSpace.lean |
1 |
6 |
['Bergschaf', 'SnirBroshi', 'github-actions', 'grunweg'] |
grunweg and sgouezel assignee:grunweg assignee:sgouezel |
10-30608 10 days ago |
10-32809 10 days ago |
36-75840 36 days |
| 37720 |
cjrl author:cjrl |
feat(Data/Fintype/Card): existsUnique_notMem_image_of_injective_of_card_succ |
This pull requests adds a small theorem `existsUnique_notMem_image_of_injective_of_card_succ` to `Mathlib/Data/Fintype/Card` that says given an injective map f : α → β such that β has cardinality one more than α, there exists a unique element of β not in the image of f.
This can be viewed as going in the opposite direction of `card_lt_of_injective_of_notMem`.
This little fact is needed for our Latin Square PR #36698.
---
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|
t-data
new-contributor
t-set-theory
|
20/0 |
Mathlib/Data/Finset/Card.lean,Mathlib/Data/Fintype/Card.lean |
2 |
20 |
['IvanRenison', 'b-mehta', 'cjrl', 'dagurtomas', 'ghseeli', 'github-actions'] |
nobody |
10-5141 10 days ago |
10-8232 10 days ago |
68-31968 68 days |
| 38841 |
SnirBroshi author:SnirBroshi |
feat(Mathlib/Order/SuccPred/Limit): more `WithTop` lemmas about `IsMin`/`CovBy`/`IsSuccLimit` |
---
Continues the work from #38244
We should probably also have such lemmas for `WithTopBot`/`WithBotTop`, but that's for another day
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|
t-order |
122/31 |
Mathlib/Order/Cover.lean,Mathlib/Order/SuccPred/Limit.lean,Mathlib/Order/WithBot.lean |
3 |
4 |
['SnirBroshi', 'github-actions', 'vihdzp'] |
nobody |
10-5080 10 days ago |
14-25670 14 days ago |
45-62579 45 days |
| 39504 |
WenrongZou author:WenrongZou |
feat(MvPowerSeries/Ideal): kernel of map equals map `C` of kernel |
In this PR, we prove that given a ring homomorphism f, suppose that kernel of f is finitely generated, then kernel of map equals map `C` of kernel. (See `ker_map_of_FG`).
---
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|
t-ring-theory |
87/0 |
Mathlib.lean,Mathlib/RingTheory/MvPowerSeries/Ideal.lean |
2 |
4 |
['CoolRmal', 'WenrongZou', 'github-actions'] |
alreadydone assignee:alreadydone |
10-3778 10 days ago |
30-56244 30 days ago |
30-56035 30 days |
| 39646 |
YaelDillies author:YaelDillies |
feat(Algebra/Order): maximally varying version of `prod_le_prod_of_subset_of_one_le` |
We need this for `gcongr`.
---
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|
t-algebra label:t-algebra$ |
49/26 |
Mathlib/Algebra/Module/ZLattice/Summable.lean,Mathlib/Algebra/Order/BigOperators/Group/Finset.lean,Mathlib/Algebra/Order/BigOperators/GroupWithZero/Finset.lean,Mathlib/Analysis/Complex/Exponential.lean |
4 |
7 |
['YaelDillies', 'b-mehta', 'github-actions'] |
themathqueen assignee:themathqueen |
10-3777 10 days ago |
26-59541 26 days ago |
26-62488 26 days |
| 40259 |
mcdoll author:mcdoll |
chore(Dynamics): general clean-up |
We do a bunch of clean-up:
- move the type declarations to the top of the file
- remove `[ContinuousAdd]` assumption from `Flow`
- use sections to split between `AddMonoid` and `AddGroup` assumption (was done with opening and closing the namespace), also add new sections `AddZero` and `SubtractionCommMonoid`
- move definitions and theorem into the correct section
- add `@[simp]` lemmas for fully applied defs
- use `fun_prop`
- minor clean-up (whitespaces, unnecessary coercion arrows, etc)
---
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|
t-dynamics |
60/33 |
Mathlib/Dynamics/Flow.lean,Mathlib/Dynamics/OmegaLimit.lean |
2 |
1 |
['github-actions'] |
urkud assignee:urkud |
10-3774 10 days ago |
11-45434 11 days ago |
11-46178 11 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 |
10-3772 10 days ago |
10-66244 10 days ago |
10-65735 10 days |
| 40165 |
SnirBroshi author:SnirBroshi |
feat(Algebra): `iSup` of substructures equals the set-union of all finite `iSup`s |
`(⨆ i, S i).carrier = ⋃ s : Finset ι, ⨆ i ∈ s, S i` for every substructure that has `coe_iSup_of_directed`:
- `Subsemigroup`
- `Submonoid`
- `Subgroup`
- `Subsemiring`
- `Subring`
- `Subfield`
- `Submodule`
- `Subalgebra`
- `NonUnitalStarSubalgebra`
- `NonUnitalSubalgebra`
- `NonUnitalSubring`
- `NonUnitalSubsemiring`
- `StarSubalgebra`
- `IntermediateField`
Co-authored-by: Albert Smith <10266947+ChiCubed@users.noreply.github.com>
---
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|
t-algebra
large-import
label:t-algebra$ |
136/0 |
Mathlib.lean,Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean,Mathlib/Algebra/Algebra/Subalgebra/Directed.lean,Mathlib/Algebra/Field/Subfield/Basic.lean,Mathlib/Algebra/Group/Subgroup/Pointwise.lean,Mathlib/Algebra/Group/Submonoid/Pointwise.lean,Mathlib/Algebra/Group/Subsemigroup/Lemmas.lean,Mathlib/Algebra/Ring/Subring/Pointwise.lean,Mathlib/Algebra/Ring/Subsemiring/Pointwise.lean,Mathlib/Algebra/Star/NonUnitalSubalgebra.lean,Mathlib/Algebra/Star/Subalgebra.lean,Mathlib/FieldTheory/IntermediateField/Adjoin/Basic.lean,Mathlib/LinearAlgebra/Span/Basic.lean,Mathlib/RingTheory/NonUnitalSubring/Basic.lean,Mathlib/RingTheory/NonUnitalSubsemiring/Basic.lean |
15 |
2 |
['github-actions', 'plp127'] |
nobody |
9-81069 9 days ago |
9-83468 9 days ago |
9-83615 9 days |
| 40304 |
grunweg author:grunweg |
perf: lower priority for IsSimpleGroup.toNontrivial attributes |
These instances have very weak keys ([Nontrivial, *]), hence are always applied. Let's try lowering their priority.
---
Found using an updated version of this code: https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/.2322780.20scoping.20a.20few.20instances.20with.20weak.20keys/with/504683279
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|
9/1 |
Mathlib/Algebra/Quandle.lean,Mathlib/GroupTheory/Subgroup/Simple.lean,Mathlib/RingTheory/SimpleRing/Basic.lean |
3 |
9 |
['github-actions', 'grunweg', 'leanprover-radar'] |
nobody |
9-65684 9 days ago |
10-15098 10 days ago |
10-17573 10 days |
| 33247 |
sun123zxy author:sun123zxy |
feat(Mathlib/RingTheory/Ideal/Cotangent): dimension of cotangent spaces |
It is shown that the span rank of the maximal ideal of a local ring equals the dimension of the cotangent space
if the maximal ideal is finitely generated.
---
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|
new-contributor
t-ring-theory
|
39/0 |
Mathlib/RingTheory/Ideal/Cotangent.lean |
1 |
15 |
['erdOne', 'github-actions', 'mathlib-bors', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'sun123zxy'] |
nobody |
9-64539 9 days ago |
9-64541 9 days ago |
13-51231 13 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 |
9-58057 9 days ago |
9-58890 9 days ago |
9-58753 9 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 |
9-56839 9 days ago |
10-59910 10 days ago |
10-59401 10 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 |
52/0 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean |
1 |
10 |
['IvanRenison', 'SnirBroshi', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
9-47845 9 days ago |
9-48665 9 days ago |
10-35719 10 days |
| 37578 |
IvanRenison author:IvanRenison |
feat(Combinatorics/SimpleGraph/Girth): add lemma `Walk.IsCircuit.egirth_le_length` |
---
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|
t-combinatorics |
15/0 |
Mathlib/Combinatorics/SimpleGraph/Girth.lean |
1 |
5 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
9-47679 9 days ago |
9-48471 9 days ago |
9-50068 9 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 |
9-45871 9 days ago |
9-46633 9 days ago |
55-63509 55 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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|
t-combinatorics |
86/0 |
Mathlib/Combinatorics/SimpleGraph/Clique.lean |
1 |
6 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
9-45436 9 days ago |
9-46247 9 days ago |
9-46270 9 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 |
9-37614 9 days ago |
10-26332 10 days ago |
10-27346 10 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 |
9-28057 9 days ago |
21-28071 21 days ago |
21-31289 21 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 |
9-27287 9 days ago |
9-30538 9 days ago |
36-39206 36 days |
| 39553 |
Brian-Nugent author:Brian-Nugent |
feat(Algebra/CategoryTheory/ModuleCat): Locally Free is local |
We define `SheafOfModules.LocalGeneratorsData.bind` just like `SheafOfModules.QuasicoherentData.bind` and use it to show that being locally free is a local condition.
---
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|
t-algebra label:t-algebra$ |
61/4 |
Mathlib/Algebra/Category/ModuleCat/Sheaf/Generators.lean,Mathlib/Algebra/Category/ModuleCat/Sheaf/LocallyFree.lean,Mathlib/Algebra/Category/ModuleCat/Sheaf/Quasicoherent.lean |
3 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
9-26191 9 days ago |
9-27115 9 days ago |
9-33164 9 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 |
9-22701 9 days ago |
10-39388 10 days ago |
10-38879 10 days |
| 40328 |
xroblot author:xroblot |
feat(FieldTheory/IntermediateField): add PowerBasis.ofAdjoinSimpleEqTop |
Adds `PowerBasis.ofAdjoinSimpleEqTop`, the `IntermediateField.adjoin` analogue of the
existing `PowerBasis.ofAdjoinEqTop` (which uses `Algebra.adjoin`): if `α` generates `L`
over `K` (i.e. `K⟮α⟯ = ⊤`) and is integral over `K`, then `α` defines a `PowerBasis`
for `L` over `K`.
The declaration is placed in `Mathlib.FieldTheory.IntermediateField.Adjoin.Basic`
(alongside `adjoin.powerBasis` and `adjoin.finrank`) rather than `Adjoin.Algebra`,
since its proof uses `adjoin.powerBasis` and `PowerBasis.map`.
:robot: This PR was extracted from the [SKW project](https://github.com/xroblot/SKW) by Claude. |
t-algebra label:t-algebra$ |
18/0 |
Mathlib/FieldTheory/IntermediateField/Adjoin/Basic.lean |
1 |
1 |
['github-actions'] |
nobody |
9-22680 9 days ago |
9-41065 9 days ago |
9-40798 9 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 |
9-11058 9 days ago |
9-33197 9 days ago |
14-30496 14 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 |
9-3740 9 days ago |
11-17748 11 days ago |
16-52540 16 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'] |
mattrobball assignee:mattrobball |
8-84690 8 days ago |
39-45075 39 days ago |
74-32637 74 days |
| 39369 |
pd4st8hb95-hub author:pd4st8hb95-hub |
feat: add basic fuzzy set definitions |
This PR adds a minimal `FuzzySet` API in `Mathlib/Order/FuzzySet`.
A fuzzy set is represented as an abbreviation:
`FuzzySet α L := α → L`
The file provides basic definitions and lemmas:
- `degree`
- `support`
- `core`
- `weakCut`
- `strongCut`
- membership simp lemmas
- extensionality
- basic monotonicity lemmas for weak and strong cuts
This PR intentionally does not add complement, union/intersection-specific API, normal or convex fuzzy sets, fuzzy relations, or advanced fuzzy set theory.
Validation:
- `lake build Mathlib.Order.FuzzySet`
- `#lint only docBlame docBlameThm`
Feedback on whether `Mathlib/Order/FuzzySet.lean` is the right location for this minimal API would be appreciated.
---
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|
t-order
new-contributor
|
169/0 |
Mathlib.lean,Mathlib/Order/FuzzySet.lean |
2 |
6 |
['github-actions', 'grunweg', 'pd4st8hb95-hub', 'wwylele'] |
nobody |
8-83021 8 days ago |
31-45802 31 days ago |
31-45653 31 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 |
8-62300 8 days ago |
8-63147 8 days ago |
25-54923 25 days |
| 40291 |
RemyDegenne author:RemyDegenne |
feat(Probability): add `HasCondDistrib` |
This PR adds a predicate that states that a random variable has a given conditional distribution given an other random variable.
From Lean Machine Learning.
Co-authored by: Paulo Rauber <pauloeduardorauber@gmail.com>
---
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|
t-measure-probability
LML
maintainer-merge
|
125/0 |
Mathlib.lean,Mathlib/Probability/HasCondDistrib.lean |
2 |
17 |
['EtienneC30', 'RemyDegenne', 'github-actions'] |
EtienneC30 assignee:EtienneC30 |
8-62240 8 days ago |
8-63020 8 days ago |
9-78915 9 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 |
7 |
['JovanGerb', 'github-actions', 'kbuzzard', 'leanprover-radar'] |
nobody |
8-57441 8 days ago |
12-37078 12 days ago |
12-38334 12 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 |
8-47623 8 days ago |
8-48787 8 days ago |
8-48278 8 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'] |
nobody |
8-44930 8 days ago |
8-45808 8 days ago |
9-28504 9 days |
| 40212 |
YaelDillies author:YaelDillies |
feat(Topology/MetricSpace): the L^1 direct sum of metric spaces |
Endow the direct sum `ι →₀ X` of `ι`-many copies of a metric space `X` with the L^1 metric.
[Zulip](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/What.20topology.20on.20Finsupp.3F/with/600119738)
---
- [x] depends on: #40211
It would be similarly easy to use the L^infty metric instead, but L^1 feels more appropriate as the default for the direct sum.
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t-topology |
126/24 |
Mathlib.lean,Mathlib/Analysis/MeanInequalities.lean,Mathlib/Analysis/MeanInequalitiesPow.lean,Mathlib/Data/ENNReal/BigOperators.lean,Mathlib/Data/NNReal/Basic.lean,Mathlib/MeasureTheory/Measure/HasOuterApproxClosedProd.lean,Mathlib/NumberTheory/NumberField/CanonicalEmbedding/ConvexBody.lean,Mathlib/Topology/Algebra/InfiniteSum/ENNReal.lean,Mathlib/Topology/MetricSpace/Finsupp.lean |
9 |
7 |
['YaelDillies', 'github-actions', 'mathlib-dependent-issues', 'ocfnash'] |
nobody |
8-41596 8 days ago |
12-45472 12 days ago |
12-54800 12 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 |
8-36997 8 days ago |
8-37740 8 days ago |
8-37401 8 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 |
8-33423 8 days ago |
8-46510 8 days ago |
8-46456 8 days |
| 40335 |
SnirBroshi author:SnirBroshi |
doc(1000-yaml): we don't have Cauchy's integral theorem |
The [referenced declaration](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Analysis/Complex/CauchyIntegral.html#Complex.circleIntegral_div_sub_of_differentiable_on_off_countable) is [Cauchy's integral formula](https://en.wikipedia.org/wiki/Cauchy%27s_integral_formula), not [Cauchy's integral theorem](https://en.wikipedia.org/wiki/Cauchy%27s_integral_theorem).
---
Originally added in #20470
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documentation
easy
|
0/3 |
docs/1000.yaml |
1 |
6 |
['CoolRmal', 'SnirBroshi', 'github-actions'] |
nobody |
8-33153 8 days ago |
9-47259 9 days ago |
9-46750 9 days |
| 39956 |
SnirBroshi author:SnirBroshi |
feat(GroupTheory/IsPerfect): Grün's lemma |
Grün's lemma: In a perfect group (`commutator G = ⊤`), `center (G ⧸ center G) = ⊥`.
Also the `derivedSeries` and the `lowerCentralSeries` are a constant `⊤`, and the `upperCentralSeries` starts with `⊥` and afterwards is a constant `center G`.
---
[Wikipedia](https://en.wikipedia.org/wiki/Perfect_group#Gr.C3.BCn.27s_lemma)
[MathWorld](https://mathworld.wolfram.com/GruensLemma.html)
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|
t-group-theory
maintainer-merge
|
93/0 |
Mathlib/Algebra/Group/Subgroup/Ker.lean,Mathlib/GroupTheory/Commutator/Basic.lean,Mathlib/GroupTheory/IsPerfect.lean,Mathlib/GroupTheory/Nilpotent.lean,Mathlib/GroupTheory/Subgroup/Centralizer.lean |
5 |
19 |
['SnirBroshi', 'github-actions', 'tb65536'] |
tb65536 assignee:tb65536 |
8-27600 8 days ago |
8-30155 8 days ago |
13-75290 13 days |
| 40292 |
felixpernegger author:felixpernegger |
chore: replace `by calc` by `calc` whenever possible |
Avoids unnecessarily going into tactic mode, similar to #40223.
---
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|
213/213 |
Archive/Imo/Imo1981Q3.lean,Archive/Imo/Imo1982Q1.lean,Archive/Imo/Imo1982Q3.lean,Archive/Imo/Imo2005Q3.lean,Archive/Imo/Imo2024Q3.lean,Archive/Imo/Imo2025Q3.lean,Mathlib/Algebra/BigOperators/Group/Finset/Basic.lean,Mathlib/Algebra/BigOperators/Group/Finset/Indicator.lean,Mathlib/Algebra/Group/Basic.lean,Mathlib/Algebra/Module/ZLattice/Basic.lean,Mathlib/Algebra/MvPolynomial/SchwartzZippel.lean,Mathlib/Algebra/Order/Floor/Ring.lean,Mathlib/Algebra/Order/Floor/Semifield.lean,Mathlib/Algebra/Order/Ring/Unbundled/Basic.lean,Mathlib/Algebra/Order/Sub/Defs.lean,Mathlib/Algebra/Polynomial/Coeff.lean,Mathlib/Algebra/Ring/Invertible.lean,Mathlib/Analysis/Analytic/Constructions.lean,Mathlib/Analysis/CStarAlgebra/Module/Defs.lean,Mathlib/Analysis/Calculus/BumpFunction/Normed.lean,Mathlib/Analysis/Calculus/ContDiff/Bounds.lean,Mathlib/Analysis/Complex/AbelLimit.lean,Mathlib/Analysis/Complex/Basic.lean,Mathlib/Analysis/Complex/ValueDistribution/FirstMainTheorem.lean,Mathlib/Analysis/Complex/ValueDistribution/Proximity/Basic.lean,Mathlib/Analysis/Convex/Caratheodory.lean,Mathlib/Analysis/Convex/Continuous.lean,Mathlib/Analysis/Convex/Visible.lean,Mathlib/Analysis/Hofer.lean,Mathlib/Analysis/InnerProductSpace/Defs.lean,Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Analysis/Matrix/Normed.lean,Mathlib/Analysis/Meromorphic/Divisor.lean,Mathlib/Analysis/Normed/Field/Approximation.lean,Mathlib/Analysis/ODE/DiscreteGronwall.lean,Mathlib/Analysis/SpecialFunctions/BinaryEntropy.lean,Mathlib/Analysis/SpecialFunctions/Integrals/LogTrigonometric.lean,Mathlib/Analysis/SpecialFunctions/Integrals/PosLogEqCircleAverage.lean,Mathlib/Analysis/SpecialFunctions/JapaneseBracket.lean,Mathlib/Analysis/SpecialFunctions/Log/Base.lean,Mathlib/Analysis/SpecialFunctions/Log/Deriv.lean,Mathlib/Analysis/SpecialFunctions/Pow/Deriv.lean,Mathlib/Analysis/SpecialFunctions/Stirling.lean,Mathlib/CategoryTheory/Bicategory/Adjunction/Basic.lean,Mathlib/CategoryTheory/Bicategory/Adjunction/Mate.lean,Mathlib/CategoryTheory/Bicategory/NaturalTransformation/Lax.lean,Mathlib/CategoryTheory/Bicategory/NaturalTransformation/Oplax.lean,Mathlib/CategoryTheory/Equivalence.lean,Mathlib/CategoryTheory/Limits/Types/Products.lean,Mathlib/CategoryTheory/Localization/Composition.lean,Mathlib/CategoryTheory/MarkovCategory/Positive.lean,Mathlib/CategoryTheory/Monoidal/DayConvolution.lean,Mathlib/CategoryTheory/Monoidal/Rigid/Basic.lean,Mathlib/Combinatorics/Additive/AP/Three/Behrend.lean,Mathlib/Combinatorics/Additive/Energy.lean,Mathlib/Combinatorics/Additive/ErdosGinzburgZiv.lean,Mathlib/Combinatorics/Additive/SubsetSum.lean,Mathlib/Combinatorics/Additive/VerySmallDoubling.lean,Mathlib/Combinatorics/SetFamily/LYM.lean,Mathlib/Combinatorics/SimpleGraph/Regularity/Uniform.lean,Mathlib/Combinatorics/SimpleGraph/Triangle/Removal.lean,Mathlib/Computability/AkraBazzi/AkraBazzi.lean,Mathlib/Computability/AkraBazzi/GrowsPolynomially.lean,Mathlib/Computability/AkraBazzi/SumTransform.lean,Mathlib/Data/Fintype/BigOperators.lean,Mathlib/Data/List/PeriodicityLemma.lean,Mathlib/Data/Nat/Choose/Vandermonde.lean,Mathlib/Data/Nat/Factorial/Basic.lean,Mathlib/Data/Rat/Floor.lean,Mathlib/FieldTheory/Finite/Basic.lean,Mathlib/FieldTheory/Minpoly/IsConjRoot.lean,Mathlib/Geometry/Manifold/Instances/Real.lean,Mathlib/Geometry/Manifold/VectorBundle/CovariantDerivative/Basic.lean,Mathlib/Geometry/Manifold/VectorBundle/Tensoriality.lean,Mathlib/GroupTheory/SpecificGroups/Quaternion.lean,Mathlib/InformationTheory/KullbackLeibler/Basic.lean,Mathlib/LinearAlgebra/AffineSpace/Matrix.lean,Mathlib/LinearAlgebra/Eigenspace/Basic.lean,Mathlib/LinearAlgebra/Matrix/Determinant/Basic.lean,Mathlib/LinearAlgebra/Matrix/Invertible.lean,Mathlib/LinearAlgebra/RootSystem/RootPositive.lean,Mathlib/MeasureTheory/Constructions/HaarToSphere.lean,Mathlib/MeasureTheory/Covering/Vitali.lean,Mathlib/MeasureTheory/Function/ConditionalExpectation/Basic.lean,Mathlib/MeasureTheory/Function/LpSeminorm/CompareExp.lean,Mathlib/MeasureTheory/Function/LpSeminorm/Count.lean,Mathlib/MeasureTheory/Integral/Bochner/ContinuousLinearMap.lean,Mathlib/MeasureTheory/Integral/BoundedContinuousFunction.lean,Mathlib/MeasureTheory/Integral/CircleAverage.lean,Mathlib/MeasureTheory/Integral/Gamma.lean,Mathlib/MeasureTheory/Integral/Lebesgue/Basic.lean,Mathlib/MeasureTheory/Integral/MeanInequalities.lean,Mathlib/MeasureTheory/Integral/MeanValue.lean,Mathlib/MeasureTheory/Measure/AddContent.lean,Mathlib/MeasureTheory/Measure/Count.lean,Mathlib/MeasureTheory/Measure/FiniteMeasure.lean,Mathlib/MeasureTheory/Measure/LevyConvergence.lean,Mathlib/MeasureTheory/Measure/LogLikelihoodRatio.lean,Mathlib/MeasureTheory/Measure/PreVariation.lean,Mathlib/NumberTheory/Chebyshev.lean |
141 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
8-12769 8 days ago |
8-16103 8 days ago |
9-24714 9 days |
| 40357 |
JovanGerb author:JovanGerb |
chore(Translate): turn off `existingAttributeWarning` for `to_dual/to_additive existing` |
The existing attribute warning can often come up in `to_dual existing`/`to_additive existing`, which is kind of annoying. This PR turns off the warning in that case. Note that it was previously already turned off for `to_dual self` and `to_dual none`. This lets us remove all but one of the linter exceptions.
---
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|
7/27 |
Mathlib/Algebra/BigOperators/Group/List/Basic.lean,Mathlib/Algebra/BigOperators/Group/List/Defs.lean,Mathlib/Algebra/Group/Basic.lean,Mathlib/Algebra/Group/Graph.lean,Mathlib/Algebra/Symmetrized.lean,Mathlib/CategoryTheory/Equivalence.lean,Mathlib/CategoryTheory/Iso.lean,Mathlib/CategoryTheory/Monoidal/Grp.lean,Mathlib/CategoryTheory/NatIso.lean,Mathlib/Order/RelClasses.lean,Mathlib/Tactic/ToDual.lean,Mathlib/Tactic/Translate/Core.lean |
12 |
1 |
['github-actions'] |
nobody |
8-11496 8 days ago |
8-15019 8 days ago |
8-17795 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$ |
551/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Center.lean,Mathlib/LinearAlgebra/LinearIndependent/Lemmas.lean,Mathlib/LinearAlgebra/Transvection/Generation.lean |
4 |
16 |
['AntoineChambert-Loir', 'dagurtomas', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
riccardobrasca assignee:riccardobrasca |
8-4271 8 days ago |
30-66144 30 days ago |
78-18083 78 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 |
8-4267 8 days ago |
34-18196 34 days ago |
34-17687 34 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'] |
nobody |
8-3209 8 days ago |
27-53626 27 days ago |
27-53117 27 days |
| 39841 |
hawkrobe author:hawkrobe |
feat(RingTheory/HopfAlgebra): Construction on primitive elements |
Builds a Hopf algebra structure on a bialgebra generated by [primitive elements](https://github.com/leanprover-community/mathlib4/pull/31898#discussion_r2553181878).
---
Please let me know if it would be better to split into multiple PRs (e.g. `Bialgebra/Primitive.lean` first)!
* [x] depends on: #39785 |
t-ring-theory
new-contributor
|
319/0 |
Mathlib.lean,Mathlib/RingTheory/Bialgebra/Primitive.lean,Mathlib/RingTheory/HopfAlgebra/Generators.lean,Mathlib/RingTheory/HopfAlgebra/Primitive.lean |
4 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
7-85251 7 days ago |
7-85982 7 days ago |
22-16904 22 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 |
7-79425 7 days ago |
7-80255 7 days ago |
7-80174 7 days |
| 40367 |
YaelDillies author:YaelDillies |
feat(MeasureTheory): mass of `count.real` |
From MeanFourier
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|
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'] |
nobody |
7-72096 7 days ago |
7-73051 7 days ago |
7-74819 7 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 |
7-68461 7 days ago |
11-20305 11 days ago |
11-19796 11 days |
| 40386 |
tb65536 author:tb65536 |
feat(RingTheory/Ideal/Pointwise): add `IsScalarTower` instance for pointwise action on ideals |
This PR adds an `IsScalarTower` instance for pointwise action on ideals.
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t-ring-theory
t-algebra
label:t-algebra$ |
9/2 |
Mathlib/RingTheory/Ideal/Pointwise.lean |
1 |
1 |
['github-actions'] |
nobody |
7-67733 7 days ago |
7-67785 7 days ago |
7-67277 7 days |
| 40385 |
tb65536 author:tb65536 |
feat(RingTheory/Ideal/Over): add `Ideal.smul_under` |
This PR proves `g • P.under A = (g • P).under A` in the `SMulDistribClass` setting.
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t-ring-theory
t-algebra
label:t-algebra$ |
12/3 |
Mathlib/RingTheory/Ideal/Over.lean |
1 |
1 |
['github-actions'] |
nobody |
7-66036 7 days ago |
7-66086 7 days ago |
7-66361 7 days |
| 40383 |
tb65536 author:tb65536 |
feat(RingTheory/Ideal/Defs): add `Ideal.coe_mem_inertia` |
This PR adds a lemma `coe_mem_inertia` for the situation when a coercion from a subgroup lies in an inertia subgroup. I added both an `AddSubgroup` version and an `Ideal` version to allow for better rewriting.
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t-ring-theory
t-algebra
label:t-algebra$ |
30/15 |
Mathlib/Algebra/Group/Subgroup/Basic.lean,Mathlib/RingTheory/Ideal/Defs.lean |
2 |
1 |
['github-actions'] |
nobody |
7-64583 7 days ago |
7-64626 7 days ago |
7-64118 7 days |
| 38380 |
linesthatinterlace author:linesthatinterlace |
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
|
124/15 |
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/NhdsSet.lean |
7 |
2 |
['github-actions', 'linesthatinterlace'] |
TwoFX assignee:TwoFX |
7-60623 7 days ago |
55-22184 55 days ago |
55-21675 55 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 |
7-53625 7 days ago |
7-56923 7 days ago |
7-56414 7 days |
| 31513 |
amellendijk author:amellendijk |
feat(Tactic): `polynomial(_nf)` tactics |
Implement tactic for proving equality of polynomials.
This tactic is part of a larger suite (see https://github.com/leanprover-community/mathlib4/pull/30374).
Also generalize the preprocessing step for `algebra` so that it always replaces `algebraMap R A r` with `r • 1` instead of only when `R` is `Nat` or `Int`. This was an oversight in `algebra` that broke `polynomial`.
- [x] depends on: #31508
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|
t-meta |
468/49 |
Mathlib.lean,Mathlib/Algebra/MvPolynomial/Basic.lean,Mathlib/RingTheory/Polynomial/Basic.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Algebra/AlgebraNF.lean,Mathlib/Tactic/Algebra/Basic.lean,Mathlib/Tactic/Polynomial/Basic.lean,Mathlib/Tactic/Polynomial/Core.lean,MathlibTest/Tactic/Polynomial.lean |
9 |
40 |
['amellendijk', 'github-actions', 'joneugster', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
Vierkantor and joneugster assignee:Vierkantor assignee:joneugster |
7-52263 7 days ago |
8-29964 8 days ago |
23-53268 23 days |
| 40223 |
felixpernegger author:felixpernegger |
chore: replace `by exact` occurences |
Basically: Replace `by exact abc` with `abc` whenever it works.
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|
329/395 |
Archive/Imo/Imo1982Q1.lean,Archive/Imo/Imo2024Q5.lean,Archive/Wiedijk100Theorems/BuffonsNeedle.lean,Archive/Wiedijk100Theorems/SumOfPrimeReciprocalsDiverges.lean,Mathlib/Algebra/BigOperators/Associated.lean,Mathlib/Algebra/Category/ModuleCat/Presheaf/ColimitFunctor.lean,Mathlib/Algebra/DirectSum/Basic.lean,Mathlib/Algebra/DirectSum/Module.lean,Mathlib/Algebra/Group/Opposite.lean,Mathlib/Algebra/Homology/Localization.lean,Mathlib/Algebra/Homology/SpectralObject/EpiMono.lean,Mathlib/Algebra/Lie/Submodule.lean,Mathlib/Algebra/Module/LocalizedModule/Submodule.lean,Mathlib/Algebra/Module/PID.lean,Mathlib/Algebra/Module/Presentation/Free.lean,Mathlib/Algebra/Module/SpanRankOperations.lean,Mathlib/Algebra/Module/Submodule/Range.lean,Mathlib/Algebra/Order/Archimedean/Real/Basic.lean,Mathlib/Algebra/Order/Module/HahnEmbedding.lean,Mathlib/Algebra/Polynomial/Eval/Algebra.lean,Mathlib/Algebra/Ring/Subsemiring/Defs.lean,Mathlib/Algebra/SkewMonoidAlgebra/Basic.lean,Mathlib/AlgebraicGeometry/IdealSheaf/Subscheme.lean,Mathlib/AlgebraicGeometry/OpenImmersion.lean,Mathlib/AlgebraicGeometry/Sites/SmallAffineZariski.lean,Mathlib/AlgebraicTopology/ExtraDegeneracy.lean,Mathlib/AlgebraicTopology/SimplicialSet/Coskeletal.lean,Mathlib/AlgebraicTopology/SimplicialSet/StdSimplex.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Instances.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Integral.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/NonUnital.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Unital.lean,Mathlib/Analysis/Calculus/ContDiff/Bounds.lean,Mathlib/Analysis/Calculus/ContDiff/FaaDiBruno.lean,Mathlib/Analysis/Calculus/FDeriv/Analytic.lean,Mathlib/Analysis/Calculus/Implicit.lean,Mathlib/Analysis/Calculus/SmoothSeries.lean,Mathlib/Analysis/Complex/SqrtDeriv.lean,Mathlib/Analysis/Distribution/ContDiffMapSupportedIn.lean,Mathlib/Analysis/Distribution/TestFunction.lean,Mathlib/Analysis/Fourier/AddCircle.lean,Mathlib/Analysis/Hofer.lean,Mathlib/Analysis/InnerProductSpace/Projection/Minimal.lean,Mathlib/Analysis/InnerProductSpace/StandardSubspace.lean,Mathlib/Analysis/MellinTransform.lean,Mathlib/Analysis/Meromorphic/Basic.lean,Mathlib/Analysis/Meromorphic/Order.lean,Mathlib/Analysis/Normed/Algebra/GelfandMazur.lean,Mathlib/Analysis/Normed/Group/InfiniteSum.lean,Mathlib/Analysis/SpecialFunctions/ExpDeriv.lean,Mathlib/Analysis/SpecialFunctions/NonIntegrable.lean,Mathlib/Analysis/SpecialFunctions/Pochhammer.lean,Mathlib/Analysis/SpecialFunctions/Pow/NNReal.lean,Mathlib/Analysis/SpecialFunctions/Pow/Real.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Bounds.lean,Mathlib/CategoryTheory/Abelian/GrothendieckCategory/ColimCoyoneda.lean,Mathlib/CategoryTheory/Bicategory/FunctorBicategory/Oplax.lean,Mathlib/CategoryTheory/Center/NegOnePow.lean,Mathlib/CategoryTheory/EffectiveEpi/Extensive.lean,Mathlib/CategoryTheory/Limits/Final.lean,Mathlib/CategoryTheory/Localization/Pi.lean,Mathlib/CategoryTheory/Monoidal/Cartesian/Basic.lean,Mathlib/CategoryTheory/Monoidal/Cartesian/Mon.lean,Mathlib/CategoryTheory/Pi/Basic.lean,Mathlib/CategoryTheory/Shift/InducedShiftSequence.lean,Mathlib/CategoryTheory/Sites/DenseSubsite/Basic.lean,Mathlib/CategoryTheory/Sites/Descent/Precoverage.lean,Mathlib/CategoryTheory/Sites/GlobalSections.lean,Mathlib/CategoryTheory/Sites/SheafOfTypes.lean,Mathlib/CategoryTheory/Sites/Sieves.lean,Mathlib/CategoryTheory/Triangulated/TStructure/TruncLTGE.lean,Mathlib/Combinatorics/SimpleGraph/Clique.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Subgraph.lean,Mathlib/Combinatorics/SimpleGraph/Prod.lean,Mathlib/Combinatorics/SimpleGraph/Regularity/Energy.lean,Mathlib/Combinatorics/SimpleGraph/Subgraph.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Decomp.lean,Mathlib/Computability/AkraBazzi/AkraBazzi.lean,Mathlib/Computability/AkraBazzi/GrowsPolynomially.lean,Mathlib/Data/DFinsupp/Sigma.lean,Mathlib/Data/ENNReal/Real.lean,Mathlib/Data/Finset/Sort.lean,Mathlib/Data/Nat/Digits/Lemmas.lean,Mathlib/Data/Nat/Squarefree.lean,Mathlib/Data/PNat/Factors.lean,Mathlib/Data/Rat/Floor.lean,Mathlib/Data/Real/Embedding.lean,Mathlib/Data/Seq/Basic.lean,Mathlib/Data/Sym/Sym2.lean,Mathlib/Data/WSeq/Relation.lean,Mathlib/FieldTheory/CardinalEmb.lean,Mathlib/FieldTheory/Galois/Profinite.lean,Mathlib/FieldTheory/IntermediateField/Adjoin/Defs.lean,Mathlib/Geometry/Convex/Cone/TensorProduct.lean,Mathlib/Geometry/Euclidean/Angle/Sphere.lean,Mathlib/Geometry/Euclidean/Triangle.lean,Mathlib/Geometry/Manifold/Algebra/LieGroup.lean,Mathlib/Geometry/Manifold/Instances/Real.lean,Mathlib/GroupTheory/FreeGroup/Basic.lean,Mathlib/GroupTheory/Perm/Sign.lean |
192 |
60 |
['JovanGerb', 'b-mehta', 'felixpernegger', 'github-actions', 'leanprover-radar', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
7-51833 7 days ago |
7-72074 7 days ago |
10-51443 10 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 |
7-51670 7 days ago |
7-55068 7 days ago |
9-56861 9 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'] |
themathqueen assignee:themathqueen |
7-50323 7 days ago |
8-35536 8 days ago |
9-17126 9 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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|
180/100 |
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 |
4 |
['JovanGerb', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
7-40761 7 days ago |
9-80625 9 days ago |
9-80623 9 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'] |
joelriou assignee:joelriou |
7-39993 7 days ago |
18-36430 18 days ago |
18-35921 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'] |
nobody |
7-36032 7 days ago |
7-53201 7 days ago |
9-35172 9 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 |
7-35041 7 days ago |
7-36895 7 days ago |
7-36386 7 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 |
7-25143 7 days ago |
7-25203 7 days ago |
7-24708 7 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
label:t-algebra$ |
11/17 |
Mathlib/Algebra/Lie/Cochain.lean |
1 |
24 |
['JovanGerb', 'b-mehta', 'github-actions', 'grunweg', 'leanprover-radar', 'mathlib-merge-conflicts', 'thorimur'] |
nobody |
7-20872 7 days ago |
7-26538 7 days ago |
11-56151 11 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 |
6 |
['github-actions', 'hawkrobe', 'j-loreaux'] |
joneugster assignee:joneugster |
7-19014 7 days ago |
11-82463 11 days ago |
30-27351 30 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 |
7-18823 7 days ago |
7-37605 7 days ago |
7-37096 7 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 |
7 |
['eric-wieser', 'github-actions', 'leanprover-radar', 'mariainesdff', 'mathlib-merge-conflicts', 'matthewjasper'] |
mariainesdff assignee:mariainesdff |
7-14104 7 days ago |
7-15857 7 days ago |
47-2337 47 days |
| 40437 |
tb65536 author:tb65536 |
feat(RingTheory/Ideal/Over): add instances for `LiesOver` in towers |
This PR adds instances for `LiesOver` in towers.
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|
t-ring-theory
t-algebra
label:t-algebra$ |
6/0 |
Mathlib/RingTheory/Ideal/Over.lean |
1 |
1 |
['github-actions'] |
nobody |
7-13157 7 days ago |
7-13207 7 days ago |
7-12699 7 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 |
7-11792 7 days ago |
7-11840 7 days ago |
7-11331 7 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'] |
nobody |
7-7394 7 days ago |
12-72981 12 days ago |
13-3222 13 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 |
7-5673 7 days ago |
22-4514 22 days ago |
35-82355 35 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'] |
nobody |
7-5670 7 days ago |
29-40998 29 days ago |
29-51092 29 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
|
219/0 |
Mathlib/Analysis/Complex/CauchyIntegral.lean |
1 |
7 |
['github-actions', 'j-loreaux', 'loefflerd', 'mathlib4-merge-conflict-bot', 'thefundamentaltheor3m', 'wwylele'] |
themathqueen assignee:themathqueen |
7-3957 7 days ago |
29-78280 29 days ago |
64-2593 64 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 |
7-3956 7 days ago |
52-79859 52 days ago |
52-79350 52 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 |
7-3951 7 days ago |
34-59561 34 days ago |
34-59052 34 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
|
343/1 |
Mathlib/Probability/Kernel/Condexp.lean,MathlibTest/CondExpKernelPiPrefix.lean |
2 |
2 |
['github-actions'] |
RemyDegenne assignee:RemyDegenne |
7-3947 7 days ago |
8-11456 8 days ago |
8-10947 8 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 |
7-3946 7 days ago |
7-62985 7 days ago |
7-62476 7 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 |
7-3946 7 days ago |
7-62381 7 days ago |
7-61872 7 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 |
7-3945 7 days ago |
7-57796 7 days ago |
7-57287 7 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 |
7-3944 7 days ago |
7-56392 7 days ago |
7-55883 7 days |
| 40409 |
felixpernegger author:felixpernegger |
chore(MeasureTheory/Measure/Prod): remove an `erw` |
Extracted from #40348
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[](https://gitpod.io/from-referrer/)
|
t-measure-probability |
5/3 |
Mathlib/MeasureTheory/Measure/Prod.lean |
1 |
1 |
['github-actions'] |
kex-y assignee:kex-y |
7-3941 7 days ago |
7-55150 7 days ago |
7-54641 7 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'] |
nobody |
7-1305 7 days ago |
23-49321 23 days ago |
43-82269 43 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 |
6-83807 6 days ago |
6-83807 6 days ago |
7-53533 7 days |
| 40410 |
seewoo5 author:seewoo5 |
feat(DihedralGroup): center of $D_n$ for even $n\ne 2$ |
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For even $n \ne 2$, center of $D_n$ is generated by the rotation `r (n/2)`. This is a companion of `center_eq_bot_of_odd_ne_one` proved in #33971. Initial code & further golfing is done by Claude Opus 4.5.
[](https://gitpod.io/from-referrer/)
|
t-algebra
LLM-generated
t-group-theory
label:t-algebra$ |
41/0 |
Mathlib/GroupTheory/SpecificGroups/Dihedral.lean |
1 |
11 |
['SnirBroshi', 'github-actions', 'plp127', 'seewoo5'] |
nobody |
6-74774 6 days ago |
6-75574 6 days ago |
7-50682 7 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'] |
nobody |
6-73586 6 days ago |
6-73586 6 days ago |
12-64216 12 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 |
9 |
['eric-wieser', 'github-actions', 'grunweg', 'leanprover-radar', 'mathlib-bors', 'sgouezel', 'themathqueen'] |
nobody |
6-68995 6 days ago |
7-23258 7 days ago |
7-22780 7 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 |
6-65856 6 days ago |
8-35682 8 days ago |
8-35212 8 days |
| 40454 |
chrisflav author:chrisflav |
chore(Algebra): some API for `IsLocalizedModule.Away` |
These are mostly analogues of what we have for `IsLocalization.Away`. The `Away` file was previously deprecated, but seems like the natural fit for the material, since the `Basic` file is currently just below the 1.5k length limit.
---
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|
t-algebra label:t-algebra$ |
80/2 |
Mathlib/Algebra/Module/LocalizedModule/Away.lean |
1 |
1 |
['github-actions'] |
nobody |
6-64306 6 days ago |
6-65137 6 days ago |
6-64628 6 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'] |
nobody |
6-63667 6 days ago |
7-5022 7 days ago |
7-21798 7 days |
| 38317 |
WenrongZou author:WenrongZou |
feat(Date/Choose): add some lemmas about choose of prime pow |
In this PR, I add some lemma about choose of prime pow.
1) For primes `p` and positive integer `n`, assume that for all `i ∈ Icc 1 (n - 1)`, `choose n i` congruent to `0` module `p`, then `n = p ^ multiplicity p n`.
2) For a prime power `n`, the greatest common divisor of `choose n 1, ⋯, choose n (n - 1)` is actually the minimal prime factor of `n`.
3) For a natural number `n` greater than `1`, assume that `n` is not a prime power, then the greatest common divisor of `choose n 1, ⋯, choose n (n - 1)` is `1`.
---
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|
t-data |
93/0 |
Mathlib/Data/Nat/Choose/Lucas.lean |
1 |
6 |
['WenrongZou', 'chenson2018', 'github-actions', 'joneugster'] |
eric-wieser assignee:eric-wieser |
6-55402 6 days ago |
6-56176 6 days ago |
57-13470 57 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 |
6-43971 6 days ago |
43-56003 43 days ago |
43-55494 43 days |
| 38104 |
yuanyi-350 author:yuanyi-350 |
refactor(MeasureTheory): golf 100 files |
This PR is an experimental project. In this PR, we use an Agent to automatically scan and attempt to simplify proofs. We hope to eventually effectively golf 100 files and avoid reinventing the wheel in mathlib.
We have chosen `Mathlib/MeasureTheory` as the testing ground.
If this experiment is very successful and accepted by the mathlib community, we would be honored to open source it.
The relevant projects includes
- [ ] #37968, which golfs `Mathlib/Analysis`.
- [ ] #38144 , which golfs `Mathlib/NumberTheory`.
**This PR serves as an index. For the actual code review, please refer to the individual PRs linked below. Each of those PRs modifies only a single file to facilitate the review process.**
- [ ] depends on: #38350
- [ ] depends on: #38353
- [ ] depends on: #38455
- [ ] depends on: #38456
- [ ] depends on: #38492
- [ ] depends on: #38636
- [ ] depends on: #38639
- [ ] depends on: #38640
- [ ] depends on: #38872
- [ ] depends on: #38873
- [ ] depends on: #38874
- [ ] depends on: #38875
- [ ] depends on: #38876
- [ ] depends on: #38877
- [ ] depends on: #38878
- [ ] depends on: #38879
- [ ] depends on: #38880
- [ ] depends on: #38881
- [ ] depends on: #38882
- [ ] depends on: #38883
- [ ] depends on: #38884
- [ ] depends on: #38885
- [ ] depends on: #38886
- [ ] depends on: #39172
- [ ] depends on: #39173
- [ ] depends on: #39174
- [ ] depends on: #39175
- [ ] depends on: #39176
- [ ] depends on: #39177
- [ ] depends on: #39178
- [ ] depends on: #39179
- [ ] depends on: #39180
---
[](https://gitpod.io/from-referrer/) |
t-measure-probability
codex
LLM-generated
|
51/102 |
Mathlib/MeasureTheory/Function/AEMeasurableOrder.lean,Mathlib/MeasureTheory/Function/ConditionalExpectation/Real.lean,Mathlib/MeasureTheory/Function/ContinuousMapDense.lean,Mathlib/MeasureTheory/Function/LpSeminorm/TriangleInequality.lean |
4 |
12 |
['github-actions', 'grunweg', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'yuanyi-350'] |
kex-y assignee:kex-y |
6-42801 6 days ago |
6-42804 6 days ago |
11-400 11 days |
| 36963 |
seewoo5 author:seewoo5 |
feat(ModularForms): SL2 action and Serre derivative |
---
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[](https://gitpod.io/from-referrer/)
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
large-import
sphere-packing
|
123/24 |
Mathlib/Analysis/Complex/UpperHalfPlane/Manifold.lean,Mathlib/Analysis/Complex/UpperHalfPlane/MoebiusAction.lean,Mathlib/NumberTheory/ModularForms/Derivative.lean |
3 |
12 |
['github-actions', 'loefflerd', 'mathlib-merge-conflicts', 'seewoo5', 'tb65536', 'wwylele'] |
tb65536 assignee:tb65536 |
6-41825 6 days ago |
7-64711 7 days ago |
45-3284 45 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.
Although it is independent, it would be conventient to merge #40357 first.
---
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|
t-meta |
227/113 |
Mathlib/Algebra/Category/MonCat/Basic.lean,Mathlib/Algebra/Notation/Defs.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/Monoidal/Grp.lean,Mathlib/CategoryTheory/Monoidal/Mod.lean,Mathlib/CategoryTheory/Monoidal/Mon.lean,Mathlib/CategoryTheory/NatIso.lean,Mathlib/CategoryTheory/NatTrans.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 |
30 |
3 |
['JovanGerb', 'github-actions'] |
nobody |
6-34671 6 days ago |
7-63176 7 days ago |
7-69780 7 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 |
6-31012 6 days ago |
6-36089 6 days ago |
6-35673 6 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 |
6-30898 6 days ago |
6-30916 6 days ago |
29-76001 29 days |
| 40489 |
j-loreaux author:j-loreaux |
feat: introduce typeclass `LinearMap.IsWeak` for weak topologies induced by bilinear forms |
Given a bilinear form `B : E →ₗ[𝕜] F →ₗ[𝕜] 𝕜`, the weak topology on `E` is the coarsest topology
such that for all `y : F` every map `(B · y)` is continuous; equivalently, it is the topology
on `E` induced by the map `(B · · : E → (F → 𝕜))`.
This file defines a `Prop`-valued typeclass `LinearMap.IsWeak` expressing that an existing topology
on `E` is the weak topology. Although this could be passed around explicitly as a hypothesis
`Topology.IsInducing (B · ·)`, given the ubiquity of weak topologies in functional analysis, the
numerous properties that can be deduced because the inducing map `B` is bilinear, the fact that
several theorems (e.g., one version of the bipolar theorem) require this hypothesis, and we can
instantiate this class for several extant types in Mathlib, we choose to make this a typeclass
instead.
Note that establishing `LinearMap.IsWeak` before proving theorems about a particular type can help
prevent abuse of definitional equalities. This because spaces equipped with a weak topology are
frequently type synonyms of some other type `E'`. For example, suppose `E'` is a type (potentially
with some extant topology other than the weak topology) and `B' : E' →ₗ[𝕜] F →ₗ[𝕜] 𝕜` is a
bilinear form. To consider the weak topology on `E'` induced by `B'`, in practice we must create a
type synonym `E` with an instance `TopologicalSpace E := .induced (B' · ·) Pi.topologicalSpace`.
It would then be tempting to create theorems such as:
```lean
example (y : F) : Continuous (fun x : E ↦ B' x y) := sorry
```
However, this statement contains an abuse of the the definitional equality `E := E'` since `x : E`,
but `B'` has domain `E'`. Morever, one might be tempted to say that `B'.IsWeak`, but this is
impossible because the domain of `B'` is `E'`, which is equipped with the incorrect topology.
Instead, what one should do is to first define a new bilinear form `B : E →ₗ[𝕜] F →ₗ[𝕜] 𝕜` by
composing `B'` with the linear equivalence between `E` and `E'`, and then establish `B.IsWeak`.
If then one proves theorems about `E` using only the `LinearMap.IsWeak` API, then one can have more
confidence that the statements are type correct.
---
The PR description is copied from the module documentation.
In a follow-up PR, I can add instances of this class for several existing types and use it to clean up their APIs to prevent defeq abuse.
There are a bunch more theorems that apply to weak topologies (e.g., a characterization of von Neumann boundedness), but I've left these for a future PR in order to avoid ballooning imports in this file. I have the results in LeanOA already.
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|
t-topology |
181/0 |
Mathlib.lean,Mathlib/Topology/Algebra/Module/IsWeak.lean |
2 |
1 |
['github-actions'] |
nobody |
6-15207 6 days ago |
6-16026 6 days ago |
6-15586 6 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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|
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 |
6-4397 6 days ago |
6-5205 6 days ago |
77-14962 77 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
|
113/0 |
Mathlib/Order/Hom/Basic.lean,Mathlib/Order/KrullDimension.lean,Mathlib/Order/Minimal.lean,Mathlib/Topology/Inseparable.lean,Mathlib/Topology/Sober.lean |
5 |
7 |
['ADedecker', 'Raph-DG', 'dagurtomas', 'github-actions', 'mathlib-merge-conflicts'] |
mcdoll assignee:mcdoll |
6-3770 6 days ago |
18-61138 18 days ago |
59-33102 59 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 |
6-3769 6 days ago |
40-81619 40 days ago |
40-81871 40 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 |
6-3768 6 days ago |
14-29780 14 days ago |
49-66068 49 days |
| 39239 |
alainchmt author:alainchmt |
feat(FieldTheory/Finite): irreducible polynomial divides X^q^n - X iff degree divides n |
---
Add the theorem saying that, for an irreducible polynomial `f` over a finite field `K`, the degree of `f` divides `n` if and only if `f` divides `X ^ (Nat.card K) ^ n - X`. Include auxiliary lemmas.
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|
t-algebra
new-contributor
label:t-algebra$ |
34/0 |
Mathlib/FieldTheory/Finite/Extension.lean,Mathlib/FieldTheory/Minpoly/Field.lean |
2 |
2 |
['github-actions'] |
kim-em assignee:kim-em |
6-3767 6 days ago |
35-60437 35 days ago |
35-59928 35 days |
| 40389 |
YaelDillies author:YaelDillies |
feat(MeasureTheory): the average of a sum of functions |
and other basic lemmas about `average`
From MeanFourier
---
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|
t-measure-probability |
88/24 |
Mathlib/Analysis/Convex/Integral.lean,Mathlib/MeasureTheory/Integral/Average.lean |
2 |
5 |
['EtienneC30', 'YaelDillies', 'github-actions'] |
EtienneC30 assignee:EtienneC30 |
6-3761 6 days ago |
6-69320 6 days ago |
6-85813 6 days |
| 40443 |
felixpernegger author:felixpernegger |
chore(MeasureTheory/Nullmeasurable): avoid defEq abuse |
---
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|
t-measure-probability |
14/10 |
Mathlib/MeasureTheory/Measure/NullMeasurable.lean |
1 |
1 |
['github-actions'] |
EtienneC30 assignee:EtienneC30 |
6-3760 6 days ago |
6-79977 6 days ago |
6-79468 6 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. removed the hypotheses when relevant (`#check lemma_name` in carleson vs mathlib returns exactly the same type for both lemmas) |
carleson
t-measure-probability
new-contributor
|
18/0 |
Mathlib/MeasureTheory/Function/EssSup.lean |
1 |
8 |
['felixpernegger', 'github-actions', 'lakesare'] |
RemyDegenne assignee:RemyDegenne |
6-3757 6 days ago |
6-67613 6 days ago |
6-67104 6 days |
| 40327 |
grunweg author:grunweg |
perf: lower priority for IsSimpleGroup.toNontrivial instances |
These instances have very weak keys ([Nontrivial, *]), hence are always applied. Let's try lowering their priority.
---
Benchmarking results are [slightly positive](https://github.com/leanprover-community/mathlib4/pull/40304#issuecomment-4640304473), but could also be noise.
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t-group-theory
maintainer-merge
|
4/0 |
Mathlib/GroupTheory/Subgroup/Simple.lean |
1 |
5 |
['github-actions', 'grunweg', 'tb65536'] |
tb65536 assignee:tb65536 |
5-82699 5 days ago |
9-66003 9 days ago |
9-65494 9 days |
| 40448 |
ChiCubed author:ChiCubed |
feat(LinearAlgebra/Dimension): tower law for algebraic extensions |
We generalise the tower law for `Module.rank` to the situation of a module over an algebraic extension of domains.
---
See [the Zulip thread](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Tower.20law.20for.20.60Module.2Erank.60/) for some associated discussion.
I am not sure about in which file these results should live, or what their names should be. For the file I have gone with `LinearAlgebra/Dimension/Algebraic.lean` for now, because these feel more like dimension theorems than `Algebra.IsAlgebraic` theorems, and IMO do not logically fit into the other existing files in `LinearAlgebra/Dimension`.
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t-algebra
new-contributor
label:t-algebra$ |
110/3 |
Mathlib.lean,Mathlib/LinearAlgebra/Dimension/Algebraic.lean,Mathlib/LinearAlgebra/Dimension/Free.lean |
3 |
4 |
['ChiCubed', 'eric-wieser', 'github-actions'] |
nobody |
5-72528 5 days ago |
6-72067 6 days ago |
6-71558 6 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
|
2/5 |
Mathlib/Analysis/Normed/Unbundled/AlgebraNorm.lean |
1 |
10 |
['ADedecker', 'JonBannon', 'faenuccio', 'github-actions', 'j-loreaux', 'themathqueen', 'yuanyi-350'] |
nobody |
5-69325 5 days ago |
5-70139 5 days ago |
20-32427 20 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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|
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 |
5-69175 5 days ago |
7-19476 7 days ago |
7-19897 7 days |
| 40463 |
mcdoll author:mcdoll |
feat(Topology/Algebra): use `Is*Apply` for `ContinuousMultilinearMap` |
---
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t-topology |
80/96 |
Mathlib/Analysis/Analytic/Binomial.lean,Mathlib/Analysis/Analytic/CPolynomialDef.lean,Mathlib/Analysis/Analytic/ChangeOrigin.lean,Mathlib/Analysis/Analytic/Composition.lean,Mathlib/Analysis/Analytic/Inverse.lean,Mathlib/Analysis/Analytic/IsolatedZeros.lean,Mathlib/Analysis/Analytic/IteratedFDeriv.lean,Mathlib/Analysis/Calculus/AbsolutelyMonotone.lean,Mathlib/Analysis/Calculus/ContDiff/FaaDiBruno.lean,Mathlib/Analysis/Calculus/ContDiff/Operations.lean,Mathlib/Analysis/Calculus/FDeriv/Analytic.lean,Mathlib/Analysis/Calculus/FormalMultilinearSeries.lean,Mathlib/Analysis/Calculus/IteratedDeriv/Lemmas.lean,Mathlib/Analysis/Fourier/FourierTransformDeriv.lean,Mathlib/Analysis/Normed/Module/Multilinear/Basic.lean,Mathlib/Analysis/SpecialFunctions/Exponential.lean,Mathlib/MeasureTheory/Measure/CharacteristicFunction/TaylorExpansion.lean,Mathlib/Topology/Algebra/Module/Multilinear/Basic.lean |
18 |
4 |
['github-actions', 'mcdoll', 'themathqueen'] |
nobody |
5-61656 5 days ago |
6-51021 6 days ago |
6-50512 6 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 |
41/61 |
Mathlib/Tactic/Translate/Core.lean,Mathlib/Tactic/Translate/Reorder.lean,MathlibTest/Attribute/ToAdditive/Basic.lean,MathlibTest/Attribute/ToDual.lean |
4 |
1 |
['github-actions'] |
nobody |
5-61018 5 days ago |
5-62945 5 days ago |
5-65637 5 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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t-ring-theory |
68/0 |
Mathlib.lean,Mathlib/RingTheory/Algebraic/NatDenominator.lean |
2 |
2 |
['github-actions', 'tb65536'] |
nobody |
5-56291 5 days ago |
13-45783 13 days ago |
21-36799 21 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 |
5-53172 5 days ago |
5-53965 5 days ago |
5-53507 5 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 |
13 |
['DavidLedvinka', 'EtienneC30', 'RemyDegenne', 'github-actions'] |
EtienneC30 assignee:EtienneC30 |
5-51920 5 days ago |
5-54586 5 days ago |
8-54355 8 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 |
5-51114 5 days ago |
5-52319 5 days ago |
22-80834 22 days |
| 40204 |
Jun2M author:Jun2M |
feat(Combinatorics): incidence-based `HypergraphLike` class |
This PR introduces an alternative definition of HyperGraphLike based on incidence.
This is alternative to #36743.
See discussion at ([#graph theory > HasAdj](https://leanprover.zulipchat.com/#narrow/channel/252551-graph-theory/topic/HasAdj/with/575843445)) for more information.
---
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|
t-combinatorics |
1729/2 |
Mathlib.lean,Mathlib/Combinatorics/Digraph/GraphLike.lean,Mathlib/Combinatorics/Graph/Basic.lean,Mathlib/Combinatorics/Graph/GraphLike.lean,Mathlib/Combinatorics/GraphLike/Basic.lean,Mathlib/Combinatorics/GraphLike/Walks/Basic.lean,Mathlib/Combinatorics/GraphLike/Walks/Dart.lean,Mathlib/Combinatorics/SimpleGraph/GraphLike.lean,Mathlib/Data/PFun.lean,Mathlib/Data/Part.lean |
10 |
2 |
['github-actions'] |
nobody |
5-47483 5 days ago |
12-82323 12 days ago |
12-84553 12 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'] |
b-mehta assignee:b-mehta |
5-47404 5 days ago |
39-36475 39 days ago |
90-34382 90 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 |
5-46462 5 days ago |
11-13607 11 days ago |
30-44592 30 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'] |
nobody |
5-46456 5 days ago |
5-47269 5 days ago |
10-30802 10 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 |
5-38690 5 days ago |
5-39572 5 days ago |
5-39636 5 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 |
5-28861 5 days ago |
5-29815 5 days ago |
5-29338 5 days |
| 39744 |
MichaelStollBayreuth author:MichaelStollBayreuth |
feat(NumberTheory/Height/NumberField): Northcott property |
This PR finally adds a proof of the *Northcott property* for heights on number fields:
```lean
theorem NumberField.finite_setOf_mulHeight₁_le (B : ℝ) : {x : K | mulHeight₁ x ≤ B}.Finite
```
---
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|
t-number-theory |
221/2 |
Mathlib/NumberTheory/Height/NumberField.lean |
1 |
13 |
['MichaelStollBayreuth', 'github-actions', 'mathlib-dependent-issues', 'tb65536'] |
tb65536 assignee:tb65536 |
5-27846 5 days ago |
15-32147 15 days ago |
15-33000 15 days |
| 40503 |
JovanGerb author:JovanGerb |
feat(Translate): copy `alias` and `deprecated` attributes |
This PR implements two related features for `to_dual`/`to_additive`:
1. When tagging a declaration that was created as an `alias` of `foo`, we mark the new declaration as an `alias` of the translation of `foo`, and we add the docstring that is automatically added for aliases, saying that it is an alias, unless a docstring is manually specified. To make this work, we add the manually specified docstring *before* running `copyMetaData`, so that the alias docstring is not added.
2. When tagging a declaration that has been deprecated to foo, we mark the new declaration as deprecated to the translation of `foo`. This solves the problem of adding deprecations for `to_additive`/`to_dual` declarations. The way to do it after this PR is to first add the deprecation, and then the `to_additive`/`to_dual` attribute. If you try to write `(attr := deprecated ...)`, you will get a linter warning explaining how you should write it instead.
closes #19424
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|
t-meta |
135/91 |
Mathlib/Algebra/FreeMonoid/Basic.lean,Mathlib/Algebra/Group/Action/Faithful.lean,Mathlib/Algebra/Group/Action/Pointwise/Set/Basic.lean,Mathlib/Algebra/Group/Pi/Lemmas.lean,Mathlib/Algebra/Group/Subgroup/Defs.lean,Mathlib/Data/Finset/Lattice/Fold.lean,Mathlib/GroupTheory/FreeGroup/Basic.lean,Mathlib/GroupTheory/Index.lean,Mathlib/GroupTheory/Nilpotent.lean,Mathlib/GroupTheory/SpecificGroups/Cyclic.lean,Mathlib/GroupTheory/Subgroup/Centralizer.lean,Mathlib/GroupTheory/Submonoid/Centralizer.lean,Mathlib/GroupTheory/Subsemigroup/Centralizer.lean,Mathlib/Order/SupClosed.lean,Mathlib/Tactic/Translate/Core.lean,Mathlib/Topology/Algebra/Order/Archimedean.lean,MathlibTest/Attribute/ToAdditive/Basic.lean |
17 |
1 |
['github-actions'] |
nobody |
5-15606 5 days ago |
5-16847 5 days ago |
5-20498 5 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 |
5-14985 5 days ago |
5-16421 5 days ago |
5-16445 5 days |
| 40155 |
TheGoedeDoel author:TheGoedeDoel |
feat: functor of localized commutative rings |
Given a functor of commutative rings R and a submonoid functor S,
we add a functor of commutative rings with objects that are localizations
of R(U) at the submonoid S(U). We also show that this functor satisfies a
universal property.
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|
t-algebra
new-contributor
label:t-algebra$ |
255/0 |
Mathlib.lean,Mathlib/Algebra/Category/ModuleCat/LocalizedFunctor.lean |
2 |
14 |
['TheGoedeDoel', 'chrisflav', 'github-actions'] |
nobody |
5-13927 5 days ago |
5-14596 5 days ago |
14-14131 14 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 |
11 |
['Jun2M', 'b-mehta', 'github-actions', 'mathlib-dependent-issues'] |
b-mehta assignee:b-mehta |
5-11215 5 days ago |
5-11215 5 days ago |
54-12314 54 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 |
29/0 |
Mathlib/Data/Finset/Card.lean,Mathlib/Data/List/Nodup.lean |
2 |
11 |
['Jun2M', 'SnirBroshi', 'github-actions', 'joneugster', 'mathlib-merge-conflicts'] |
joneugster assignee:joneugster |
5-11185 5 days ago |
5-11185 5 days ago |
32-72953 32 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 |
43/9 |
Mathlib/Data/List/Chain.lean,Mathlib/Data/List/Pairwise.lean |
2 |
8 |
['SnirBroshi', 'Vierkantor', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp'] |
eric-wieser assignee:eric-wieser |
5-5894 5 days ago |
5-8877 5 days ago |
87-70186 87 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 |
5-5672 5 days ago |
57-10422 57 days ago |
57-10531 57 days |
| 34713 |
dennj author:dennj |
feat(Probability/Markov): stationary distributions for stochastic matrices |
This PR proves that every row-stochastic matrix on a finite nonempty
state space has a stationary distribution in the standard simplex.
Main additions to `Mathlib/Probability/Markov/Stationary.lean`:
- `IsStationary`: A distribution μ is stationary for matrix P if μ ᵥ* P = μ
- `cesaroAverage`: Cesàro average of iterates of a vector under a matrix
- `Matrix.rowStochastic.exists_stationary_distribution`: existence theorem
The proof uses Cesàro averaging: start with uniform distribution, form
averages, extract convergent subsequence by compactness, show limit is
stationary via L¹ non-expansiveness.
Also adds `vecMul_mem_stdSimplex` to `Stochastic.lean`: multiplying a
probability vector by a row-stochastic matrix preserves simplex membership.
This is human-made PR with AI help in golfing proof and documenting the code. |
new-contributor
t-measure-probability
|
166/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Matrix/Stochastic.lean,Mathlib/Probability/Markov/Stationary.lean |
3 |
17 |
['EtienneC30', 'dennj', 'dupuisf', 'github-actions', 'grunweg', 'j-loreaux', 'mathlib-merge-conflicts', 'riccardobrasca'] |
RemyDegenne assignee:RemyDegenne |
5-3577 5 days ago |
51-12591 51 days ago |
61-45095 61 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 |
5-3574 5 days ago |
22-34244 22 days ago |
53-9128 53 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 |
5-3571 5 days ago |
15-76956 15 days ago |
15-77495 15 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 |
5-3571 5 days ago |
6-2453 6 days ago |
6-1944 6 days |
| 40138 |
faenuccio author:faenuccio |
doc: fix the doc of two files about group actions |
|
documentation
t-group-theory
maintainer-merge
|
146/144 |
Mathlib/GroupTheory/GroupAction/Quotient.lean,Mathlib/GroupTheory/Schreier.lean |
2 |
31 |
['adomani', 'b-mehta', 'eric-wieser', 'faenuccio', 'github-actions', 'grunweg', 'jcommelin', 'tb65536'] |
tb65536 assignee:tb65536 |
4-74990 4 days ago |
7-86019 7 days ago |
9-59682 9 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 |
4-66640 4 days ago |
4-67496 4 days ago |
4-66987 4 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 |
4-57981 4 days ago |
4-58916 4 days ago |
4-59361 4 days |
| 40342 |
grunweg author:grunweg |
refactor: refactor logic of "modify an auto-generated name with a provided name" in to_fun and translate |
Best reviewed commit by commit.
This also fixes a small edge case in `Translate/Core` (which might have occurred at all; let's see if the new declarations diff will spot anything).
We also change `Translate/Core` to save the generated name as an honest `Option`.
---
- [x] depends on: #39962
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t-meta |
65/36 |
Mathlib/Tactic/ToFun.lean,Mathlib/Tactic/Translate/Core.lean,Mathlib/Util/AddRelatedDecl.lean,MathlibTest/Attribute/ToAdditive/Basic.lean,MathlibTest/ToFun.lean |
5 |
14 |
['JovanGerb', 'chenson2018', 'github-actions', 'grunweg', 'mathlib-dependent-issues'] |
nobody |
4-53449 4 days ago |
4-57001 4 days ago |
5-50500 5 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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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
171/146 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Circulant.lean,Mathlib/Combinatorics/SimpleGraph/Cycle.lean |
3 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
4-51266 4 days ago |
4-52074 4 days ago |
47-20977 47 days |
| 40552 |
felixpernegger author:felixpernegger |
feat(Topology): make `CofiniteTopology` Prop valued |
Per discussion at https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/.60CofiniteTopology.60.20should.20be.20Prop.20valued/with/602521494
The old `CofiniteTopology` is now `WithCofiniteTopology` (this mirrors what we do with discrete spaces)
---
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|
t-topology |
39/29 |
Mathlib/Topology/Compactification/OnePoint/Basic.lean,Mathlib/Topology/Constructions.lean,Mathlib/Topology/Irreducible.lean,Mathlib/Topology/NoetherianSpace.lean,Mathlib/Topology/Separation/Basic.lean |
5 |
1 |
['github-actions'] |
nobody |
4-31371 4 days ago |
4-39421 4 days ago |
4-38912 4 days |
| 39134 |
peabrainiac author:peabrainiac |
chore(Algebra): module deprecations for moved `AddTorsor` files |
---
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|
t-topology
t-algebra
label:t-algebra$ |
24/0 |
Mathlib.lean,Mathlib/Algebra/AddTorsor/Basic.lean,Mathlib/Algebra/AddTorsor/Defs.lean,Mathlib/Topology/Algebra/Group/AddTorsor.lean,Mathlib/Topology/Algebra/ProperAction/AddTorsor.lean |
5 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
nobody |
4-19850 4 days ago |
4-24396 4 days ago |
4-77184 4 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'] |
nobody |
4-4713 4 days ago |
28-34450 28 days ago |
28-33941 28 days |
| 40496 |
thefundamentaltheor3m author:thefundamentaltheor3m |
feat(LinearAlgebra/AffineSpace/Simplex): Define the surface of a simplex |
---
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|
t-algebra
LLM-generated
new-contributor
label:t-algebra$ |
104/9 |
Mathlib/LinearAlgebra/AffineSpace/Simplex/Basic.lean |
1 |
5 |
['github-actions', 'mathlib-bors', 'thefundamentaltheor3m', 'wwylele'] |
nobody |
4-4400 4 days ago |
4-5246 4 days ago |
4-4815 4 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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|
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 |
4-3839 4 days ago |
4-17272 4 days ago |
4-16763 4 days |
| 34278 |
gasparattila author:gasparattila |
feat(Topology/Sets): connectedness of `NonemptyCompacts` |
---
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|
t-topology |
108/0 |
Mathlib/Topology/Sets/VietorisTopology.lean |
1 |
6 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
PatrickMassot assignee:PatrickMassot |
4-3796 4 days ago |
15-61829 15 days ago |
15-62514 15 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
label:t-algebra$ |
155/1 |
Mathlib/LinearAlgebra/AffineSpace/AffineSubspace/Shift.lean,Mathlib/LinearAlgebra/AffineSpace/Simplex/Basic.lean |
2 |
12 |
['alreadydone', 'copilot-pull-request-reviewer', 'github-actions', 'mathlib-bors', 'mathlib-dependent-issues', 'wwylele'] |
alreadydone assignee:alreadydone |
4-3795 4 days ago |
15-40587 15 days ago |
58-950 58 days |
| 40523 |
j-loreaux author:j-loreaux |
feat: in a dense order, `𝓝[<] a` has `fun x ↦ Ico x a` as a basis |
---
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|
t-topology |
24/0 |
Mathlib/Topology/Order/LeftRightNhds.lean |
1 |
2 |
['github-actions'] |
nobody |
4-310 4 days ago |
5-16048 5 days ago |
5-15539 5 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
|
148/96 |
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 |
27 |
['SnirBroshi', 'YaelDillies', 'github-actions', 'grunweg', 'joneugster', 'mathlib-merge-conflicts', 'themathqueen'] |
joneugster assignee:joneugster |
3-74008 3 days ago |
3-77429 3 days ago |
20-9181 20 days |
| 39539 |
yuanyi-350 author:yuanyi-350 |
feat(NumberTheory): prove Mertens' first theorem |
For any natural number $n \geq 2$, the absolute value of the difference between the sum over all primes $p \leq n$ of $\frac{\log p}{p}$ and $\log n$ is at most 2. |
|
493/0 |
Mathlib.lean,Mathlib/NumberTheory/Mertens.lean,docs/1000.yaml |
3 |
3 |
['github-actions', 'vihdzp'] |
nobody |
3-73651 3 days ago |
3-75243 3 days ago |
10-8983 10 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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t-combinatorics
maintainer-merge
|
92/0 |
Mathlib.lean,Mathlib/Combinatorics/Graph/Simple.lean |
2 |
6 |
['YaelDillies', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
3-72039 3 days ago |
47-2583 47 days ago |
66-36507 66 days |
| 37344 |
vihdzp author:vihdzp |
feat: monotone function `Cardinal → α` is eventually constant |
---
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|
t-set-theory
t-order
|
89/1 |
Mathlib.lean,Mathlib/Data/Set/Monotone.lean,Mathlib/Logic/Small/Basic.lean,Mathlib/SetTheory/Cardinal/EventuallyConst.lean |
4 |
9 |
['YaelDillies', 'github-actions', 'mathlib-dependent-issues', 'vihdzp', 'wwylele'] |
nobody |
3-67695 3 days ago |
19-34651 19 days ago |
29-84712 29 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 |
3-64700 3 days ago |
6-36089 6 days ago |
6-35690 6 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 |
3-56083 3 days ago |
4-31820 4 days ago |
4-31311 4 days |
| 38319 |
Zetetic-Dhruv author:Zetetic-Dhruv |
feat(Combinatorics/SetFamily): Assouad's dual VC bound |
Adds the Finset-level form of Assouad's 1983 dual VC bound: if a family
`𝒜 : Finset (Finset α)` has VC dimension at most `d`, then for any
ground set `X : Finset α` the dual family
`{𝒜.filter (· ∋ x) : x ∈ X}` has VC dimension at most `2 ^ (d + 1) - 1`.
New declarations (in `Finset` namespace):
- `dualFamily 𝒜 X`: for each `x ∈ X`, the subfamily `{A ∈ 𝒜 | x ∈ A}`
- `mem_dualFamily` (`@[simp]`): membership characterisation
- `exists_shatters_of_dualFamily_shatters`: Assouad's bitstring-coding lemma
- `vcDim_dualFamily_le`: the headline VC bound
Proof by Assouad's classical bitstring-coding argument. Sits on top of `Finset.shatterer` / `Finset.vcDim` from
`Mathlib.Combinatorics.SetFamily.Shatter`.
References:
- P. Assouad, Densite et dimension, Ann. Inst. Fourier 33(3) (1983), Thm 2.13
- J. Matousek, Lectures on Discrete Geometry, GTM 212, Springer, 2002, Section 10.3 Lemma 10.3.3
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t-combinatorics
new-contributor
|
199/0 |
Mathlib.lean,Mathlib/Combinatorics/SetFamily/DualVC.lean,docs/references.bib |
3 |
40 |
['Shreyas4991', 'YaelDillies', 'Zetetic-Dhruv', 'github-actions'] |
YaelDillies assignee:YaelDillies |
3-47768 3 days ago |
38-18290 38 days ago |
54-64830 54 days |
| 37848 |
rwst author:rwst |
feat(RingTheory/PowerSeries/Log): log and exp as inverses |
This adds the lemmas `exp_subst_log` and `log_subst_exp_sub_one`, together with two helpers needed for the proofs.
Note: I'm using Claude + Opus for supervised formalization tasks. Claude has no permission to use git on my machine.
-[ ] depends on #40571
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t-ring-theory
LLM-generated
|
91/0 |
Mathlib/RingTheory/PowerSeries/Log.lean,Mathlib/RingTheory/PowerSeries/Substitution.lean |
2 |
17 |
['chrisflav', 'github-actions', 'rwst', 'yuanyi-350'] |
mattrobball assignee:mattrobball |
3-43225 3 days ago |
3-43225 3 days ago |
67-3958 67 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'] |
nobody |
3-42807 3 days ago |
4-20114 4 days ago |
9-32496 9 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 |
3-41885 3 days ago |
8-26626 8 days ago |
8-46075 8 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 |
3-41392 3 days ago |
4-22283 4 days ago |
10-35539 10 days |
| 40539 |
edwardfalk author:edwardfalk |
feat(NumberTheory/LSeries): trivial and nontrivial zeros of riemannZeta |
This PR adds the sets of trivial and nontrivial zeros of the Riemann zeta function to
`Mathlib/NumberTheory/LSeries/ZetaZeros.lean`:
- `riemannZetaTrivialZeros` : the set `{-2, -4, -6, …}`, with a membership lemma and
the inclusion into `riemannZetaZeros` (via `riemannZeta_neg_two_mul_nat_add_one`);
- `riemannZetaNontrivialZeros` : zeros that are neither trivial nor the point `s = 1`,
with a membership lemma and the inclusion into `riemannZetaZeros`;
- `riemannHypothesis_iff_nontrivialZeros` : `RiemannHypothesis` is equivalent to the
statement that every nontrivial zero has real part `1/2`.
Motivation: the set-based formulation is the natural interface for follow-up work on
the Riemann xi function (follow-up PR adds `riemannXi` with the unconditional zero
characterization `riemannXi s = 0 ↔ s ∈ riemannZetaNontrivialZeros`) and, further out,
for Li's criterion, whose coefficient sums range over the nontrivial zero set.
Disclosure: this code was written with substantial assistance from Claude (Anthropic),
as part of a long-running formalization project; I have reviewed it, it is sorry-free,
and it builds and lints clean at master. Please apply the `LLM-generated` label.
🤖 Generated with [Claude Code](https://claude.com/claude-code)
|
t-number-theory
new-contributor
|
51/0 |
Mathlib/NumberTheory/LSeries/ZetaZeros.lean |
1 |
3 |
['github-actions', 'loefflerd'] |
loefflerd assignee:loefflerd |
3-38235 3 days ago |
4-61623 4 days ago |
4-61114 4 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
|
127/1 |
Mathlib/SetTheory/Ordinal/Veblen.lean |
1 |
10 |
['emlis42', 'felixpernegger', 'github-actions', 'plp127'] |
nobody |
3-30583 3 days ago |
4-40112 4 days ago |
4-39603 4 days |
| 39288 |
FordUniver author:FordUniver |
feat(Combinatorics/SimpleGraph/Subgraph): add `Embedding.ofIsInduced` and `IsInduced.map` |
Three additions to the `SimpleGraph.Subgraph` API for induced subgraphs. `Embedding.ofIsInduced` is the canonical embedding of an induced subgraph into its ambient graph, paired with `toHom_ofIsInduced` and `ofIsInduced_apply` lemmas. This is the embedding counterpart of `Subgraph.hom`, which only produces a homomorphism because non-induced subgraphs do not reflect adjacency. `Subgraph.IsInduced.map` then records that the image of an induced subgraph under a graph embedding is induced, strengthened to `IsInduced.map_iff` for the iso case.
Co-authored-by: Malte Jackisch <45597826+MaltyBlanket@users.noreply.github.com>
---
**Orthogonal pre-requisite of the `Copy` / `InducedCopy` refactor-feat stack.**
Extracted as a prerequisite from #38631 that is otherwise independent of the wider `Copy` / `InducedCopy` refactor-feat stack. |
t-combinatorics |
27/4 |
Mathlib/Combinatorics/SimpleGraph/Copy.lean,Mathlib/Combinatorics/SimpleGraph/Subgraph.lean |
2 |
16 |
['FordUniver', 'SnirBroshi', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts'] |
nobody |
3-23060 3 days ago |
22-69812 22 days ago |
34-18819 34 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 |
3-18600 3 days ago |
5-4235 5 days ago |
5-3726 5 days |
| 40562 |
BoltonBailey author:BoltonBailey |
feat(NumberTheory/FactorizationProperties): add positivity lemmas |
This PR proves the basic fact that abundant, deficient, and weird numbers are positive.
This was done as a part of Project Numina's LeanTriathlon project with the help of AI (Claude Code and Numina's lean agent)
---
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[](https://gitpod.io/from-referrer/)
|
t-number-theory
LLM-generated
|
15/0 |
Mathlib/NumberTheory/FactorisationProperties.lean |
1 |
6 |
['BoltonBailey', 'felixpernegger', 'github-actions'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
3-14188 3 days ago |
3-14242 3 days ago |
3-78876 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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[](https://gitpod.io/from-referrer/)
|
t-algebra label:t-algebra$ |
102/0 |
Mathlib.lean,Mathlib/FieldTheory/TranscendentalSeparable.lean |
2 |
14 |
['Thmoas-Guan', 'github-actions', 'robin-carlier'] |
nobody |
3-5674 3 days ago |
37-43088 37 days ago |
45-60756 45 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 |
3-5671 3 days ago |
48-45021 48 days ago |
114-43325 114 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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[](https://gitpod.io/from-referrer/)
|
t-data |
10/0 |
Mathlib/Data/List/Rotate.lean |
1 |
3 |
['SnirBroshi', 'eric-wieser', 'github-actions'] |
TwoFX assignee:TwoFX |
3-3560 3 days ago |
46-23988 46 days ago |
46-23479 46 days |
| 40109 |
gasparattila author:gasparattila |
feat(Topology/Sets): separability of `(Nonempty)Compacts` |
---
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|
t-topology |
31/71 |
Mathlib/Topology/MetricSpace/Closeds.lean,Mathlib/Topology/Sets/VietorisTopology.lean |
2 |
1 |
['github-actions'] |
PatrickMassot assignee:PatrickMassot |
3-3559 3 days ago |
15-60298 15 days ago |
15-59789 15 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 |
2-78815 2 days ago |
2-79625 2 days ago |
82-23424 82 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: #27597
- [x] depends on: #27599
- [x] depends on: #28443
- [x] depends on: #28445
- [x] depends on: #28446
- [x] depends on: #28447
This is the first of several pull requests towards the full Erdős-Stone(-Simonovits) theorem, hence the name of the file.
[](https://gitpod.io/from-referrer/) |
t-combinatorics
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 |
2-78096 2 days ago |
2-78961 2 days ago |
104-9987 104 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
|
593/1 |
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 |
2-76082 2 days ago |
2-78830 2 days ago |
2-86177 2 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 |
58/188 |
Mathlib/Order/ConditionallyCompleteLattice/Basic.lean,Mathlib/Order/ConditionallyCompleteLattice/Indexed.lean |
2 |
1 |
['github-actions'] |
nobody |
2-75315 2 days ago |
2-78225 2 days ago |
2-80934 2 days |
| 40586 |
kim-em author:kim-em |
ci: self-heal nightly-testing-green after a history rewrite |
This PR makes the `nightly-testing-green` update in `nightly_detect_failure.yml` recover from a history rewrite instead of freezing. The branch is advanced with a plain fast-forward push, which is rejected once `nightly-testing` history diverges from its tip (for example a toolchain reset to an rc). #38847 dropped the original `git push --force` and deferred recovery to a daily force-push job that does not exist, so the branch stuck on `v4.31.0-rc1` for weeks until it was force-pushed by hand.
Fast-forward when possible, and otherwise force-push to recover, but only when the tested commit is strictly newer than the current tip by committer date, so an out-of-order CI completion can never roll the branch backwards. `nightly-testing-daily` keeps its fast-forward-or-skip behavior, and the stale comment referencing the nonexistent force-push job is corrected.
🤖 Prepared with Claude Code |
CI |
26/12 |
.github/workflows/nightly_detect_failure.yml |
1 |
1 |
['github-actions'] |
nobody |
2-69695 2 days ago |
2-72394 2 days ago |
2-71885 2 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 |
26/0 |
Mathlib/RingTheory/AdjoinRoot.lean |
1 |
1 |
['github-actions'] |
nobody |
2-65592 2 days ago |
2-66665 2 days ago |
2-66156 2 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'] |
nobody |
2-63528 2 days ago |
2-64361 2 days ago |
26-62274 26 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 |
2-62354 2 days ago |
3-81521 3 days ago |
3-81012 3 days |
| 40578 |
CoolRmal author:CoolRmal |
feat(Topology/Order): convergence of suprema and infima |
The main lemma proved in this PR is that for every function `a : ι → α`, `Tendsto (fun F : Finset ι => F.inf a) atTop (𝓝 (⨅ i, a i))`, where `α` is a complete lattice and a SupConvergenceClass. The corresponding versions for `ciSup`, `iInf`, `ciInf` are also proved. We also prove `ciSup_eq_ciSup_finset`, which is the analogue of [iSup_eq_iSup_finset](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Order/CompleteLattice/Finset.html#iSup_eq_iSup_finset)
Created with the help of codex.
- [ ] #40584 |
t-topology |
118/188 |
Mathlib/Order/ConditionallyCompleteLattice/Basic.lean,Mathlib/Order/ConditionallyCompleteLattice/Finset.lean,Mathlib/Order/ConditionallyCompleteLattice/Indexed.lean,Mathlib/Topology/Order/MonotoneConvergence.lean |
4 |
1 |
['github-actions'] |
nobody |
2-61911 2 days ago |
2-79214 2 days ago |
2-83542 2 days |
| 31222 |
Thmoas-Guan author:Thmoas-Guan |
feat(Algebra): `Hom` commute with flat base change |
In this PR, we proved `Hom_S (M \tensor S, N \tensor S)` is base change of `Hom_R (M, N)` with respect to `LinearMap.baseChangeHom`.
Co-authored-by: Wang Jingting <wangjt2020@163.com>
---
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|
large-import
t-algebra
label:t-algebra$ |
49/0 |
Mathlib/Algebra/Module/FinitePresentation.lean |
1 |
5 |
['github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot'] |
chrisflav assignee:chrisflav |
2-61138 2 days ago |
47-14231 47 days ago |
47-13988 47 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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[](https://gitpod.io/from-referrer/)
|
t-algebra
t-category-theory
label:t-algebra$ |
160/0 |
Mathlib.lean,Mathlib/Algebra/Category/ModuleCat/Ext/Baer.lean |
2 |
79 |
['Thmoas-Guan', 'dagurtomas', 'github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib-splicebot', 'mathlib4-merge-conflict-bot'] |
joelriou assignee:joelriou |
2-61107 2 days ago |
18-83954 18 days ago |
84-35844 84 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 |
2-61006 2 days ago |
5-81766 5 days ago |
27-38809 27 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 |
2-57383 2 days ago |
3-25284 3 days ago |
3-24814 3 days |
| 36299 |
grunweg author:grunweg |
feat: metric connections |
This file defines what it means for a connection on a Riemannian vector bundle `(V, g)` to be *compatible* with the metric `g`. Namely, the differentiated metric tensor `∇ g` (defined by `(X, σ, τ) ↦ X g(σ, τ) - g(∇_X σ, τ) - g(σ, ∇_X τ)`) should vanish on all differentiable vector fields `X` and differentiable sections `σ`, `τ`.
From the path towards the Levi-Civita connection and Riemannian geometry.
Co-authored-by: Heather Macbeth [25316162+hrmacbeth@users.noreply.github.com](mailto:25316162+hrmacbeth@users.noreply.github.com)
Co-authored-by: Patrick Massot [patrickmassot@free.fr](mailto:patrickmassot@free.fr)
---
- [x] depends on: #36279
- [x] depends on: #34263
- [x] depends on: #39485
- [x] depends on: #39554
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|
t-differential-geometry |
205/3 |
Mathlib.lean,Mathlib/Geometry/Manifold/VectorBundle/CovariantDerivative/Metric.lean,Mathlib/Geometry/Manifold/VectorBundle/MDifferentiable.lean |
3 |
47 |
['ADedecker', 'github-actions', 'grunweg', 'hrmacbeth', 'leanprover-radar', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'or4nge19', 'sgouezel'] |
PatrickMassot assignee:PatrickMassot |
2-49765 2 days ago |
2-50578 2 days ago |
9-20949 9 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 |
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 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
2-48202 2 days ago |
2-51546 2 days ago |
5-61251 5 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
|
119/3 |
Mathlib/AlgebraicTopology/SimplicialSet/Boundary.lean,Mathlib/CategoryTheory/Limits/Types/Pullbacks.lean |
2 |
26 |
['github-actions', 'jcreinhold', 'joelriou', 'mckoen'] |
nobody |
2-48012 2 days ago |
15-55426 15 days ago |
44-9121 44 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'] |
nobody |
2-41564 2 days ago |
2-64830 2 days ago |
2-64486 2 days |
| 26464 |
joelriou author:joelriou |
feat(LinearAlgebra): generators of pi tensor products |
In this PR, we show that the `R`-module `⨂[R] i, M i` is finitely generated if the index type is finite and all `M i` are finitely generated. This follows from a more precise result about generators of `⨂[R] i, M i`.
---
This PR continues the work from #18725.
Original PR: https://github.com/leanprover-community/mathlib4/pull/18725 |
file-removed
t-algebra
label:t-algebra$ |
251/7 |
Mathlib.lean,Mathlib/Analysis/Normed/Module/PiTensorProduct/ProjectiveSeminorm.lean,Mathlib/Data/Set/Card.lean,Mathlib/Data/SubtypeNeLift.lean,Mathlib/LinearAlgebra/PiTensorProduct/Basic.lean,Mathlib/LinearAlgebra/PiTensorProduct/DFinsupp.lean,Mathlib/LinearAlgebra/PiTensorProduct/DirectSum.lean,Mathlib/LinearAlgebra/PiTensorProduct/Finite.lean,Mathlib/LinearAlgebra/PiTensorProduct/Generators.lean,Mathlib/LinearAlgebra/TensorPower/Basic.lean,Mathlib/LinearAlgebra/TensorPower/Symmetric.lean,Mathlib/Logic/Equiv/Option.lean,Mathlib/RingTheory/PiTensorProduct.lean |
13 |
44 |
['Vierkantor', 'eric-wieser', 'github-actions', 'joelriou', 'leanprover-community-bot-assistant', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'riccardobrasca'] |
mattrobball assignee:mattrobball |
2-41021 2 days ago |
2-41021 2 days ago |
116-32604 116 days |
| 40514 |
kbuzzard author:kbuzzard |
chore: make FiniteAdeleRing an abbrev |
`FiniteAdeleRing` is currently a `def`: it's a certain restricted product. We have a ton of API for restricted products, and far less for finite adele rings (although there is a bunch of stuff in FLT which is going to be upstreamed). With recent transparency changes, it seems that we will need to repeat a bunch of the restricted product API for finite adele rings. I think it might be easier just to let FiniteAdeleRing be an `abbrev`. The example of a `backward.isDefEq.respectTransparency false` removal in this PR is just the tip of the iceberg.
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@smmercuri what do you think? |
t-ring-theory |
1/12 |
Mathlib/RingTheory/DedekindDomain/FiniteAdeleRing.lean |
1 |
3 |
['github-actions', 'kbuzzard', 'smmercuri'] |
nobody |
2-39609 2 days ago |
2-40448 2 days ago |
5-22940 5 days |
| 39476 |
faenuccio author:faenuccio |
feat(Mathlib.Topology.Algebra.Module.Equiv): add results on IsHomeomorph |
Add the construction of a `ContinuousLinearEquiv` from a `LinearEquiv` that `IsHomeomorph`, and two basic API lemmas. Also remove a `simp` tag from a lemma in about `Function.Bijective`, and change its signature a bit.
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|
t-topology |
58/24 |
Mathlib/Logic/Equiv/Defs.lean,Mathlib/Topology/Algebra/Module/Complement.lean,Mathlib/Topology/Algebra/Module/Equiv.lean |
3 |
18 |
['ADedecker', 'faenuccio', 'github-actions', 'mathlib-merge-conflicts'] |
ADedecker assignee:ADedecker |
2-36481 2 days ago |
2-36481 2 days ago |
4-41062 4 days |
| 38623 |
mariainesdff author:mariainesdff |
feat(Algebra/Order/Antidiag/Prod): add HasMulAntidiagonal |
We add a multiplicative version of `Finset.HasAntidiagonal`, called `Finset.HasMulAntidiagonal`. This requires some naming changes (since otherwise, for instance, there would be a clash between [Finset.swap_mem_mulAntidiagonal](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Data/Finset/MulAntidiagonal.html#Finset.swap_mem_mulAntidiagonal) and the corresponding lemma in Mathlib.Algebra.Order.Antidiag.Prod).
We made the following naming choices:
- Since the additive version will be much more commonly used, we still keep `Finset.HasAntidiagonal` for the additive version, and translate `mulAntidiagonal` to `antidiagonal` rather than to `addAntidiagonal`. Note that in particular this affects the API in Mathlib.Data.Finset.MulAntidiagonal, which used `addAntidiagonal`.
- We move most of the results in `Mathlib.Algebra.Order.Antidiag.Prod` into the `Has(Mul)Antidiagonal` namespace, so that e.g. `Finset.swap_mem_antidiagonal` and `Finset.HasAntidiagonal.mem_antidiagonal` can co-exist.
Co-authored-by : @xgenereux
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|
t-algebra label:t-algebra$ |
219/119 |
Mathlib/Algebra/BigOperators/NatAntidiagonal.lean,Mathlib/Algebra/Order/Antidiag/Pi.lean,Mathlib/Algebra/Order/Antidiag/Prod.lean,Mathlib/Combinatorics/Enumerative/Catalan/Tree.lean,Mathlib/Data/Finset/MulAntidiagonal.lean,Mathlib/Data/Finset/NatAntidiagonal.lean,Mathlib/NumberTheory/Bernoulli.lean,Mathlib/RingTheory/Binomial.lean,Mathlib/RingTheory/HahnSeries/HEval.lean,Mathlib/RingTheory/HahnSeries/Multiplication.lean,Mathlib/RingTheory/HahnSeries/PowerSeries.lean,Mathlib/RingTheory/HahnSeries/Summable.lean,Mathlib/RingTheory/MvPowerSeries/Basic.lean,Mathlib/RingTheory/MvPowerSeries/LinearTopology.lean,Mathlib/RingTheory/PowerSeries/CoeffMulMem.lean,Mathlib/RingTheory/PowerSeries/WeierstrassPreparation.lean,Mathlib/Tactic/Translate/ToAdditive.lean,Mathlib/Topology/Algebra/InfiniteSum/Ring.lean |
18 |
3 |
['BoltonBailey', 'github-actions'] |
nobody |
2-31049 2 days ago |
7-42138 7 days ago |
7-41646 7 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 |
5 |
['BoltonBailey', 'felixpernegger', 'github-actions'] |
nobody |
2-27460 2 days ago |
2-29242 2 days ago |
0-106 1 minute |
| 40602 |
sgouezel author:sgouezel |
chore: move strong measurability proof to `setToFun` |
The goal is to be able to use the very same lemma for the vector measure integral, in a forthcoming PR.
---
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|
t-measure-probability |
87/57 |
Mathlib/MeasureTheory/Integral/FinMeasAdditive.lean,Mathlib/MeasureTheory/Integral/Prod.lean,Mathlib/MeasureTheory/Integral/SetToL1.lean |
3 |
1 |
['github-actions'] |
nobody |
2-24393 2 days ago |
2-25515 2 days ago |
2-25074 2 days |
| 40561 |
iosephusferrum author:iosephusferrum |
feat(ModelTheory): quantifier elimination for first-order theories |
This PR introduces `HasQuantifierElimination` for first-order languages, along with some standard criteria to establish it for any language that satisfies them and prerequisite formalization `mathlib4` required on elementary extension pairs (`IsElementaryExtensionPair`) and < κ-generated substructures (`CardinalLTGenerated`). It also states and proves that the first-order theory DLO (dense linear order without endpoints) has quantifier elimination (`dlo_hasQuantifierElimination`), using the newly formalized quantifier elimination criteria.
Co-authored-by: Yağız Kaan Aydoğdu <y.kaan.aydogdu@gmail.com>
Co-authored-by: Salih Erdem Koçak <saliherdemkd@gmail.com>
Advised-by: Ayhan Günaydın <ayhan.gunaydin@bogazici.edu.tr>
Advised-by: Metin Ersin Arıcan <metin.arican@bogazici.edu.tr>
---
[](https://gitpod.io/from-referrer/)
Please note that we have utilized agentic AI tools (Claude Opus, ChatGPT Codex) during the development of this PR. Most of the proofs of the major theorems are directly "translated" from human-language source material (check the diff in `references.bib`) to Lean proofs using mentioned AI tools. However, all design/formalization decisions are made by us. |
new-contributor
LLM-generated
|
976/7 |
Mathlib.lean,Mathlib/ModelTheory/Complexity.lean,Mathlib/ModelTheory/ElementaryExtensionPair.lean,Mathlib/ModelTheory/FinitelyGenerated.lean,Mathlib/ModelTheory/Order.lean,Mathlib/ModelTheory/PartialEquiv.lean,Mathlib/ModelTheory/QuantifierElimination.lean,Mathlib/ModelTheory/Semantics.lean,Mathlib/ModelTheory/Substructures.lean,Mathlib/Tactic/Linter/TextBased/UnicodeLinter.lean,docs/references.bib |
11 |
5 |
['erdkocak', 'felixpernegger', 'github-actions'] |
nobody |
2-22161 2 days ago |
4-17580 4 days ago |
4-17357 4 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 |
2 |
['BoltonBailey', 'github-actions'] |
nobody |
2-15502 2 days ago |
3-63909 3 days ago |
3-63400 3 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 |
2-14993 2 days ago |
4-43872 4 days ago |
32-14407 32 days |
| 39958 |
BryceT233 author:BryceT233 |
feat(RingTheory/Kaehler/JacobiZariski): exactness at the left of Jacobi-Zariski sequence under flatness assumption |
Given algebras `R → S → T` and `T` flat over `S`, this PR adds the exactness of `T ⊗[S] H₁(L_{S/R}) → H₁(L_{T/R}) → H₁(L_{T/S})` at the left of Jacobi-Zariski sequence. Note that the flatness assumption here is stronger than the Tor-vanishing conditions required in the full statement of [Stacks Project, 00S2](https://stacks.math.columbia.edu/tag/00S2), this should be refactored and generalized once more results on Tor modules are available.
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|
t-ring-theory |
69/0 |
Mathlib/RingTheory/Kaehler/JacobiZariski.lean |
1 |
1 |
['github-actions'] |
nobody |
2-8729 2 days ago |
8-51824 8 days ago |
19-53906 19 days |
| 32692 |
WilliamCoram author:WilliamCoram |
feat: define multivariate restricted power series |
We define multivariate restricted power series over a normed ring R, and show the properties that they form a ring when R has the ultrametric property.
This work generalises my previous work in #26089 which will need to be refactored.
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|
t-ring-theory
t-number-theory
new-contributor
|
159/0 |
Mathlib.lean,Mathlib/Algebra/Order/Antidiag/Prod.lean,Mathlib/Algebra/Order/Antidiag/Tendsto.lean,Mathlib/RingTheory/MvPowerSeries/Restricted.lean |
4 |
52 |
['WilliamCoram', 'erdOne', 'github-actions', 'jcommelin', 'mathlib-merge-conflicts', 'mbkybky'] |
mariainesdff assignee:mariainesdff |
2-5671 2 days ago |
16-47294 16 days ago |
71-15261 71 days |
| 40567 |
Erotemic author:Erotemic |
feat(Analysis/InnerProductSpace): gram rigidity theorems |
---
[LLM-generated] This proof was written by Fable 5, Opus 4.8, and critiqued by GPT 5.5.
This PR is the first of what I think are significant mathlib contributions.
I have introduced this problem in: https://leanprover.zulipchat.com/#narrow/channel/583339-AI-authored-projects/topic/AI-assisted.20MDS.20and.20spectral.20PRs/with/602650518
I started down this formalization road attempting to formalize a result about estimating an LLM-benchmark estimation technique: DKPS (Data Kernel Perspective Space): https://github.com/AIQ-Kitware/aiq-dkps-formalization/
I have a basic understanding of lean. I am working to learn the required math to understand this, but I'm afraid I don't pass the "understand every line of this" test. I do however know that the theorem statement look reasonable, and it type checks as part of an argument I do understand at a higher level.
The interesting thing about these proofs is that they were resistant to AI formalization until Fable-5 came out. Still it took a few days of effort to push everything into its current shape.
I'm willing to dedicate more time and work through the process of landing this. |
t-analysis
new-contributor
LLM-generated
|
167/3 |
Mathlib/Analysis/InnerProductSpace/Basic.lean,Mathlib/Analysis/InnerProductSpace/GramMatrix.lean,docs/references.bib |
3 |
36 |
['Erotemic', 'github-actions', 'wwylele'] |
nobody |
2-5027 2 days ago |
2-27610 2 days ago |
3-86106 3 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 |
9 |
['github-actions', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot', 'oliver-butterley', 'yoh-tanimoto'] |
kex-y assignee:kex-y |
2-3417 2 days ago |
2-18762 2 days ago |
17-83643 17 days |
| 40296 |
RemyDegenne author:RemyDegenne |
feat: define `HasCoveringExponent` |
This PR adds a definition `HasCoveringExponent`, that states that a set has a covering number that satisfies a certain bound at all scales.
---
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|
t-topology
brownian
t-measure-probability
|
97/0 |
Mathlib.lean,Mathlib/Topology/MetricSpace/CoveringExponent.lean |
2 |
1 |
['github-actions'] |
urkud assignee:urkud |
2-3411 2 days ago |
10-41670 10 days ago |
10-41161 10 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 |
2-3410 2 days ago |
2-68229 2 days ago |
3-5151 3 days |
| 40507 |
grunweg author:grunweg |
feat: `Sum.inl` and `Sum.inr` are smooth embeddings |
This provides an alternative proof of their smoothness. A future PR will use this to golf the existing proofs.
Inspired by in-person discussions with Christian Merten and Edward van de Meent.
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|
t-differential-geometry |
43/0 |
Mathlib/Geometry/Manifold/Immersion.lean,Mathlib/Geometry/Manifold/SmoothEmbedding.lean |
2 |
9 |
['chrisflav', 'github-actions', 'grunweg'] |
sgouezel assignee:sgouezel |
2-3409 2 days ago |
4-52206 4 days ago |
5-39268 5 days |
| 39638 |
mcdoll author:mcdoll |
feat(Algebra): use `Is*Apply` for `LinearMap` |
---
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t-algebra
large-import
label:t-algebra$ |
427/429 |
Archive/Sensitivity.lean,Mathlib/Algebra/Azumaya/Matrix.lean,Mathlib/Algebra/Category/ModuleCat/Basic.lean,Mathlib/Algebra/Category/ModuleCat/ChangeOfRings.lean,Mathlib/Algebra/Category/ModuleCat/Differentials/Basic.lean,Mathlib/Algebra/Category/ModuleCat/Semi.lean,Mathlib/Algebra/Central/End.lean,Mathlib/Algebra/Group/ForwardDiff.lean,Mathlib/Algebra/Lie/Abelian.lean,Mathlib/Algebra/Lie/AdjointAction/Derivation.lean,Mathlib/Algebra/Lie/BaseChange.lean,Mathlib/Algebra/Lie/Basis.lean,Mathlib/Algebra/Lie/CartanExists.lean,Mathlib/Algebra/Lie/Cochain.lean,Mathlib/Algebra/Lie/Derivation/Basic.lean,Mathlib/Algebra/Lie/EngelSubalgebra.lean,Mathlib/Algebra/Lie/Extension.lean,Mathlib/Algebra/Lie/InvariantForm.lean,Mathlib/Algebra/Lie/LieTheorem.lean,Mathlib/Algebra/Lie/Nilpotent.lean,Mathlib/Algebra/Lie/TensorProduct.lean,Mathlib/Algebra/Lie/TraceForm.lean,Mathlib/Algebra/Lie/Weights/Basic.lean,Mathlib/Algebra/Lie/Weights/Cartan.lean,Mathlib/Algebra/Lie/Weights/IsSimple.lean,Mathlib/Algebra/Lie/Weights/Killing.lean,Mathlib/Algebra/Module/CharacterModule.lean,Mathlib/Algebra/Module/FinitePresentation.lean,Mathlib/Algebra/Module/LinearMap/Basic.lean,Mathlib/Algebra/Module/LinearMap/Defs.lean,Mathlib/Algebra/Module/LinearMap/End.lean,Mathlib/Algebra/Module/LinearMap/Polynomial.lean,Mathlib/Algebra/Module/Presentation/Basic.lean,Mathlib/Algebra/Module/Submodule/Bilinear.lean,Mathlib/Algebra/Module/Submodule/LinearMap.lean,Mathlib/Algebra/Module/Submodule/Map.lean,Mathlib/Algebra/MonoidAlgebra/Degree.lean,Mathlib/Algebra/MvPolynomial/Degrees.lean,Mathlib/Algebra/MvPolynomial/Equiv.lean,Mathlib/Algebra/Polynomial/HasseDeriv.lean,Mathlib/Algebra/TrivSqZeroExt/Basic.lean,Mathlib/Analysis/Calculus/LagrangeMultipliers.lean,Mathlib/Analysis/Complex/Conformal.lean,Mathlib/Analysis/Fourier/BoundedContinuousFunctionChar.lean,Mathlib/Analysis/Fourier/FourierTransform.lean,Mathlib/Analysis/InnerProductSpace/Adjoint.lean,Mathlib/Analysis/InnerProductSpace/ConformalLinearMap.lean,Mathlib/Analysis/InnerProductSpace/LinearMap.lean,Mathlib/Analysis/InnerProductSpace/LinearPMap.lean,Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Analysis/InnerProductSpace/Projection/FiniteDimensional.lean,Mathlib/Analysis/InnerProductSpace/Projection/Reflection.lean,Mathlib/Analysis/InnerProductSpace/Spectrum.lean,Mathlib/Analysis/InnerProductSpace/TensorProduct.lean,Mathlib/Analysis/LocallyConvex/Polar.lean,Mathlib/Analysis/Normed/Module/FiniteDimension.lean,Mathlib/Analysis/Normed/Operator/Bilinear.lean,Mathlib/Analysis/Seminorm.lean,Mathlib/FieldTheory/Fixed.lean,Mathlib/FieldTheory/NormalizedTrace.lean,Mathlib/Geometry/Euclidean/Angle/Oriented/Affine.lean,Mathlib/Geometry/Euclidean/Angle/Oriented/Rotation.lean,Mathlib/Geometry/Euclidean/Angle/Unoriented/Affine.lean,Mathlib/LinearAlgebra/AffineSpace/AffineMap.lean,Mathlib/LinearAlgebra/AffineSpace/Basis.lean,Mathlib/LinearAlgebra/AffineSpace/Combination.lean,Mathlib/LinearAlgebra/Alternating/Basic.lean,Mathlib/LinearAlgebra/Basis/Defs.lean,Mathlib/LinearAlgebra/Basis/SMul.lean,Mathlib/LinearAlgebra/BilinearForm/DualLattice.lean,Mathlib/LinearAlgebra/BilinearForm/Hom.lean,Mathlib/LinearAlgebra/BilinearForm/Orthogonal.lean,Mathlib/LinearAlgebra/BilinearForm/Properties.lean,Mathlib/LinearAlgebra/Center.lean,Mathlib/LinearAlgebra/Charpoly/Basic.lean,Mathlib/LinearAlgebra/CliffordAlgebra/BaseChange.lean,Mathlib/LinearAlgebra/CliffordAlgebra/Contraction.lean,Mathlib/LinearAlgebra/CliffordAlgebra/Equivs.lean,Mathlib/LinearAlgebra/CliffordAlgebra/Even.lean,Mathlib/LinearAlgebra/CliffordAlgebra/EvenEquiv.lean,Mathlib/LinearAlgebra/Contraction.lean,Mathlib/LinearAlgebra/CrossProduct.lean,Mathlib/LinearAlgebra/Determinant.lean,Mathlib/LinearAlgebra/Dimension/Free.lean,Mathlib/LinearAlgebra/Dual/Basis.lean,Mathlib/LinearAlgebra/Dual/Defs.lean,Mathlib/LinearAlgebra/Dual/Lemmas.lean,Mathlib/LinearAlgebra/Eigenspace/Basic.lean,Mathlib/LinearAlgebra/Eigenspace/Triangularizable.lean,Mathlib/LinearAlgebra/Eigenspace/Zero.lean,Mathlib/LinearAlgebra/ExteriorAlgebra/OfAlternating.lean,Mathlib/LinearAlgebra/Finsupp/LSum.lean,Mathlib/LinearAlgebra/LinearPMap.lean,Mathlib/LinearAlgebra/Matrix/Ideal.lean,Mathlib/LinearAlgebra/Matrix/Kronecker.lean,Mathlib/LinearAlgebra/Matrix/SesquilinearForm.lean,Mathlib/LinearAlgebra/Matrix/ToLin.lean,Mathlib/LinearAlgebra/Multilinear/Basic.lean,Mathlib/LinearAlgebra/Pi.lean,Mathlib/LinearAlgebra/PiTensorProduct.lean |
162 |
3 |
['Vierkantor', 'github-actions', 'mcdoll'] |
nobody |
2-1797 2 days ago |
2-2648 2 days ago |
2-2139 2 days |
| 35812 |
khwilson author:khwilson |
feat(MeasureTheory/Group/GeometryOfNumbers): successive minima and existence of a directional basis |
Define the successive minima of a discrete subgroup of a real vector space with respect to a convex set. These invariants show up throughout the geometry of numbers and are the focus of Minkowski's Second Theorem (whose statement is left here with a `proof_wanted`).
Note: The key lemma is that the "gauge set" of the convex set is closed. I took the approach of showing that it is sequentially closed. There's an alternative approach via showing it's the union of a finite number of closed sets. I personally thought this approach was more intuitive, but the union approach may result in a slightly shorter proof.
Co-authored-by: Yaël Dillies <yael.dillies@gmail.com>
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|
new-contributor
t-measure-probability
maintainer-merge
|
350/36 |
Mathlib/Algebra/Module/ZLattice/Basic.lean,Mathlib/Analysis/Convex/Basic.lean,Mathlib/Analysis/Convex/Body.lean,Mathlib/Analysis/Convex/Gauge.lean,Mathlib/LinearAlgebra/FiniteDimensional/Basic.lean,Mathlib/MeasureTheory/Group/GeometryOfNumbers.lean,Mathlib/NumberTheory/NumberField/Units/Regulator.lean |
7 |
91 |
['Vierkantor', 'YaelDillies', 'github-actions', 'joneugster', 'khwilson', 'mathlib-merge-conflicts', 'ocfnash'] |
sgouezel assignee:sgouezel |
1-84114 1 day ago |
3-39980 3 days ago |
52-50817 52 days |
| 40595 |
LLaurance author:LLaurance |
chore(Probability): remove TODO on characteristic functions |
mathlib4 now has Fourier transforms and the characteristic function is defined at [`MeasureTheory.charFun`](https://leanprover-community.github.io/mathlib4_docs/Mathlib/MeasureTheory/Measure/CharacteristicFunction/Basic.html#MeasureTheory.charFun).
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|
t-measure-probability |
0/6 |
Mathlib/Probability/Density.lean |
1 |
1 |
['github-actions'] |
nobody |
1-81023 1 day ago |
2-62591 2 days ago |
2-62082 2 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 |
1-78929 1 day ago |
1-82390 1 day ago |
1-81881 1 day |
| 40339 |
xroblot author:xroblot |
feat(FieldTheory/SeparableDegree): add Algebra.isSeparable_of_separable_splitting_field, golf of_separable_splitting_field |
Adds `Algebra.isSeparable_of_separable_splitting_field` to `Mathlib.FieldTheory.SeparableDegree` and uses it to golf `IsGalois.of_separable_splitting_field`.
:robot: This PR was extracted from the [SKW project](https://github.com/xroblot/SKW) by Claude. |
t-algebra label:t-algebra$ |
28/34 |
Mathlib/FieldTheory/Galois/Basic.lean,Mathlib/FieldTheory/SeparableDegree.lean |
2 |
6 |
['github-actions', 'tb65536', 'xroblot'] |
nobody |
1-77394 1 day ago |
3-61680 3 days ago |
9-21184 9 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 |
1-68024 1 day ago |
2-24145 2 days ago |
60-48807 60 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'] |
tb65536 assignee:tb65536 |
1-67292 1 day ago |
10-6233 10 days ago |
10-65214 10 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 |
1-66705 1 day ago |
22-70196 22 days ago |
32-78826 32 days |
| 40261 |
grunweg author:grunweg |
fix(scripts/create_deprecated_modules): produce deprecated modules ob… |
…eying the module system
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easy
CI
|
7/2 |
scripts/create_deprecated_modules.lean |
1 |
2 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
1-64522 1 day ago |
1-65300 1 day ago |
11-16499 11 days |
| 39296 |
scholzhannah author:scholzhannah |
feat: more informative output messages in the flexible linter |
The current output messages in the flexible linter are:
- If the stained location is a hypothesis:
`'exact h' uses 'h'!`
- If the stained location is the goal:
`'exact Nat.le_succ_of_le h' uses '⊢'!`
I think the first is not very informative and the second is additionally confusing. So this PR changes them to read:
- For a hypothesis:
`'exact h' uses 'h', which was modified by the flexible tactic 'simp' on line 40!`
- And for the goal:
`'exact Nat.le_succ_of_le h' modifies the current goal, which was modified by the flexible tactic 'simp_all' on line 56!`
I also added some more explanation to the messages in the case that all the hypotheses and the goal were stained by `simp at *`.
---
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|
t-linter |
187/42 |
Mathlib/Tactic/Linter/FlexibleLinter.lean,MathlibTest/Linter/Flexible/Basic.lean,MathlibTest/Linter/Flexible/ImportHeavy.lean |
3 |
23 |
['b-mehta', 'chenson2018', 'github-actions', 'grunweg', 'joneugster', 'mathlib-merge-conflicts', 'scholzhannah', 'thorimur'] |
grunweg, joneugster, thorimur assignee:joneugster assignee:grunweg assignee:thorimur |
1-62878 1 day ago |
5-37305 5 days ago |
17-44370 17 days |
| 30109 |
scholzhannah author:scholzhannah |
feat: the subcomplexes of a (relative classical) CW complex form a completely distributive lattice |
In this PR we prove that the space of subcomplexes `Subcomplex C` of a (relative classical) CW complex `C` is a `CompletelyDistribLattice`.
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|
t-topology |
313/0 |
Mathlib/Topology/CWComplex/Classical/Subcomplex.lean |
1 |
28 |
['ADedecker', 'github-actions', 'j-loreaux', 'mathlib-merge-conflicts', 'scholzhannah'] |
alreadydone assignee:alreadydone |
1-62773 1 day ago |
1-63582 1 day ago |
58-61322 58 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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|
t-combinatorics |
15/0 |
Mathlib/Combinatorics/Hypergraph/Basic.lean |
1 |
6 |
['SnirBroshi', 'github-actions', 'tb65536'] |
nobody |
1-62214 1 day ago |
4-36638 4 days ago |
4-79095 4 days |
| 40622 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Finite): some `minDegree`/`maxDegree` lemmas |
- `G.minDegree = 0 ∧ G.maxDegree = 0` given `Subsingleton V` (we have these for `IsEmpty V`)
- `G.maxDegree = 0 ↔ G = ⊥`
- `G.minDegree = 0 ↔ ∃ v, G.IsIsolated v`
- `G.minDegree = 0 ↔ G.support ≠ .univ`
- For a set `s` that contains the support we have
- `G.minDegree ≤ (G.induce s).minDegree`
- `(G.induce s).maxDegree = G.maxDegree`
---
Also golf `minDegree_le_degree`.
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|
t-combinatorics |
57/11 |
Mathlib/Combinatorics/SimpleGraph/Copy.lean,Mathlib/Combinatorics/SimpleGraph/Finite.lean |
2 |
1 |
['github-actions'] |
nobody |
1-61057 1 day ago |
1-61925 1 day ago |
1-61416 1 day |
| 35394 |
HugLycan author:HugLycan |
feat(Tactic/Positivity): make positivity work for types that are not partial orders |
Make positivity work for types that are not partial orders
Most PositivityExt haven't been updated for non partial order cases yet. They will be updated in the later PR.
`Strictness` now depends on `Option Q(PartialOrder $α)` instead of `Q(PartialOrder $α)`, and the constructors `Strictness.positive`/`Strictness.nonnegative` now have their `Q(PartialOrder $α)` typeclass arguments.
---
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-meta
maintainer-merge
|
612/354 |
Mathlib/Algebra/Order/AbsoluteValue/Basic.lean,Mathlib/Algebra/Order/Algebra.lean,Mathlib/Algebra/Order/BigOperators/Expect.lean,Mathlib/Algebra/Order/BigOperators/Ring/Finset.lean,Mathlib/Algebra/Order/Field/Basic.lean,Mathlib/Algebra/Order/Field/Power.lean,Mathlib/Algebra/Order/Floor/Extended.lean,Mathlib/Algebra/Order/Floor/Ring.lean,Mathlib/Algebra/Order/Interval/Basic.lean,Mathlib/Algebra/Order/Module/Field.lean,Mathlib/Analysis/Complex/Exponential.lean,Mathlib/Analysis/Complex/Order.lean,Mathlib/Analysis/Complex/Trigonometric.lean,Mathlib/Analysis/Complex/UpperHalfPlane/Basic.lean,Mathlib/Analysis/Normed/Group/Basic.lean,Mathlib/Analysis/Real/Sqrt.lean,Mathlib/Analysis/SpecialFunctions/Bernstein.lean,Mathlib/Analysis/SpecialFunctions/Gamma/Basic.lean,Mathlib/Analysis/SpecialFunctions/Log/Basic.lean,Mathlib/Analysis/SpecialFunctions/Pow/NNReal.lean,Mathlib/Analysis/SpecialFunctions/Pow/Real.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Arctan.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Basic.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/DerivHyp.lean,Mathlib/Combinatorics/Enumerative/DyckWord.lean,Mathlib/Combinatorics/SimpleGraph/Regularity/Bound.lean,Mathlib/Combinatorics/SimpleGraph/Triangle/Removal.lean,Mathlib/Data/ENNReal/Basic.lean,Mathlib/Data/ENNReal/Real.lean,Mathlib/Data/EReal/Basic.lean,Mathlib/Data/EReal/Inv.lean,Mathlib/Data/EReal/Operations.lean,Mathlib/Data/NNReal/Defs.lean,Mathlib/Data/Nat/Factorial/DoubleFactorial.lean,Mathlib/Data/Nat/Totient.lean,Mathlib/Data/Rat/Cast/Order.lean,Mathlib/Geometry/Euclidean/Altitude.lean,Mathlib/MeasureTheory/Covering/Besicovitch.lean,Mathlib/MeasureTheory/Integral/Bochner/Basic.lean,Mathlib/MeasureTheory/Measure/Real.lean,Mathlib/NumberTheory/ArithmeticFunction/Misc.lean,Mathlib/NumberTheory/ArithmeticFunction/Zeta.lean,Mathlib/NumberTheory/Height/Basic.lean,Mathlib/NumberTheory/Height/NumberField.lean,Mathlib/NumberTheory/Height/Projectivization.lean,Mathlib/NumberTheory/LucasLehmer.lean,Mathlib/NumberTheory/SelbergSieve.lean,Mathlib/Tactic/Positivity/Basic.lean,Mathlib/Tactic/Positivity/Core.lean,Mathlib/Tactic/Positivity/Finset.lean,Mathlib/Topology/Algebra/InfiniteSum/Order.lean,Mathlib/Topology/MetricSpace/Bounded.lean,Mathlib/Topology/MetricSpace/Pseudo/Defs.lean,MathlibTest/positivity.lean |
54 |
94 |
['HugLycan', 'JovanGerb', 'Vierkantor', 'fpvandoorn', 'github-actions', 'joneugster', 'leanprover-radar', 'mathlib-merge-conflicts'] |
dwrensha assignee:dwrensha |
1-58674 1 day ago |
4-49402 4 days ago |
67-49077 67 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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t-data |
236/0 |
Mathlib.lean,Mathlib/Data/List/Interleave.lean |
2 |
4 |
['YaelDillies', 'github-actions', 'ocfnash'] |
nobody |
1-56130 1 day ago |
1-56926 1 day ago |
21-41233 21 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 |
1-54553 1 day ago |
1-55426 1 day ago |
2-16650 2 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 |
1-52969 1 day ago |
8-25657 8 days ago |
8-25148 8 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 |
1 |
['github-actions'] |
nobody |
1-52380 1 day ago |
2-64335 2 days ago |
2-63826 2 days |
| 31361 |
alreadydone author:alreadydone |
feat(Algebra/Order): convex subgroups |
---
- [x] depends on: #32886
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|
t-algebra
t-order
maintainer-merge
label:t-algebra$ |
318/0 |
Mathlib.lean,Mathlib/Algebra/Order/Archimedean/Class.lean,Mathlib/Algebra/Order/Group/Convex.lean,Mathlib/Order/Birkhoff.lean,Mathlib/Order/Quotient.lean |
5 |
70 |
['Vierkantor', 'YaelDillies', 'alreadydone', 'faenuccio', 'github-actions', 'kckennylau', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'vihdzp', 'wwylele'] |
faenuccio assignee:faenuccio |
1-52251 1 day ago |
10-26809 10 days ago |
39-53811 39 days |
| 40075 |
grunweg author:grunweg |
fix: more complete model finding for a given manifold in context |
When searching for a model with corners on a manifold, also try finding a model which is not just a local assumption, but the trivial model on a normed space or a non-trivially normed field.
Minimised from an elaborator failure in Kevin Buzzard's Jacobian challenge.
---
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|
t-differential-geometry
t-meta
|
53/1 |
Mathlib/Geometry/Manifold/Notation.lean,MathlibTest/DifferentialGeometry/Notation/Basic.lean |
2 |
2 |
['github-actions', 'grunweg'] |
JovanGerb assignee:JovanGerb |
1-51116 1 day ago |
16-59601 16 days ago |
16-59150 16 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 |
1-49065 1 day ago |
1-50052 1 day ago |
3-7579 3 days |
| 39999 |
Whysoserioushah author:Whysoserioushah |
feat(Projectivization/PSL/Stabilizer): Add stabilizer lemmas |
---
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|
t-algebra label:t-algebra$ |
144/0 |
Mathlib.lean,Mathlib/LinearAlgebra/Matrix/Action.lean,Mathlib/LinearAlgebra/Projectivization/PSL/Stabilizer.lean |
3 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
1-48537 1 day ago |
2-18033 2 days ago |
2-19159 2 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 |
1-47830 1 day ago |
14-61511 14 days ago |
39-48705 39 days |
| 40629 |
grunweg author:grunweg |
fix(ValidatePRTitle): allow file extensions like .yaml, .yml, .md in the scope |
---
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|
CI |
25/3 |
Mathlib/Tactic/Linter/ValidatePRTitle.lean,MathlibTest/ValidatePRTitle.lean,scripts/check_title_labels.lean |
3 |
2 |
['github-actions'] |
nobody |
1-47602 1 day ago |
1-49662 1 day ago |
1-49153 1 day |
| 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'] |
nobody |
1-46577 1 day ago |
5-38592 5 days ago |
31-10054 31 days |
| 39404 |
metakunt author:metakunt |
feat(NumberTheory/AKSPrimality): Introspective definition |
This defines the introspective relation and proves the key property for the AKS theorem.
From #34507
|
t-number-theory |
226/0 |
Mathlib.lean,Mathlib/NumberTheory/AKSPrimality/Introspective.lean |
2 |
28 |
['github-actions', 'metakunt', 'tb65536'] |
tb65536 assignee:tb65536 |
1-42773 1 day ago |
1-44443 1 day ago |
15-20136 15 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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|
267/471 |
Archive/Imo/Imo1982Q1.lean,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/PiTensorProduct/InjectiveSeminorm.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 |
173 |
12 |
['felixpernegger', 'github-actions', 'leanprover-radar', 'mathlib-bors', 'tb65536'] |
nobody |
1-40893 1 day ago |
1-41702 1 day ago |
7-43900 7 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'] |
nobody |
1-40589 1 day ago |
1-42504 1 day ago |
1-46450 1 day |
| 40166 |
felixpernegger author:felixpernegger |
chore: remove all terminal `refine`'s with `exact` |
Found with scripts. This was a pretty exhaustive search and should be almost all of them.
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|
338/352 |
Archive/Imo/Imo1961Q3.lean,Mathlib/Algebra/Algebra/Subalgebra/Lattice.lean,Mathlib/Algebra/Category/Ring/Limits.lean,Mathlib/Algebra/Category/Ring/Small.lean,Mathlib/Algebra/DualNumber.lean,Mathlib/Algebra/Exact/Basic.lean,Mathlib/Algebra/Group/Pointwise/Finset/Basic.lean,Mathlib/Algebra/GroupWithZero/Range.lean,Mathlib/Algebra/Homology/HomologySequence.lean,Mathlib/Algebra/Lie/Abelian.lean,Mathlib/Algebra/Lie/BaseChange.lean,Mathlib/Algebra/Lie/Prod.lean,Mathlib/Algebra/Module/FinitePresentation.lean,Mathlib/Algebra/Module/Injective.lean,Mathlib/Algebra/Module/LinearMap/FiniteRange.lean,Mathlib/Algebra/Module/LocalizedModule/Basic.lean,Mathlib/Algebra/Module/LocalizedModule/Submodule.lean,Mathlib/Algebra/Module/Submodule/Lattice.lean,Mathlib/Algebra/Module/ZLattice/Basic.lean,Mathlib/Algebra/MvPolynomial/Division.lean,Mathlib/Algebra/MvPolynomial/Polynomial.lean,Mathlib/Algebra/Order/Archimedean/Basic.lean,Mathlib/Algebra/Polynomial/Roots.lean,Mathlib/Algebra/Polynomial/UnitTrinomial.lean,Mathlib/Algebra/QuadraticAlgebra/Basic.lean,Mathlib/AlgebraicGeometry/AffineTransitionLimit.lean,Mathlib/AlgebraicGeometry/Cover/Sigma.lean,Mathlib/AlgebraicGeometry/Fiber.lean,Mathlib/AlgebraicGeometry/Geometrically/Integral.lean,Mathlib/AlgebraicGeometry/Gluing.lean,Mathlib/AlgebraicGeometry/IdealSheaf/Subscheme.lean,Mathlib/AlgebraicGeometry/Modules/Tilde.lean,Mathlib/AlgebraicGeometry/Morphisms/ClosedImmersion.lean,Mathlib/AlgebraicGeometry/Morphisms/Finite.lean,Mathlib/AlgebraicGeometry/Morphisms/FlatRank.lean,Mathlib/AlgebraicGeometry/Morphisms/Integral.lean,Mathlib/AlgebraicGeometry/Morphisms/RingHomProperties.lean,Mathlib/AlgebraicGeometry/Morphisms/SurjectiveOnStalks.lean,Mathlib/AlgebraicGeometry/OpenImmersion.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Scheme.lean,Mathlib/AlgebraicGeometry/Restrict.lean,Mathlib/AlgebraicGeometry/Sites/Small.lean,Mathlib/AlgebraicGeometry/Sites/SmallAffineZariski.lean,Mathlib/AlgebraicGeometry/StructureSheaf.lean,Mathlib/AlgebraicGeometry/ZariskisMainTheorem.lean,Mathlib/AlgebraicTopology/SimplicialSet/NonDegenerateSimplices.lean,Mathlib/Analysis/Analytic/Basic.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Basic.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Isometric.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Restrict.lean,Mathlib/Analysis/Calculus/ContDiff/FTaylorSeries.lean,Mathlib/Analysis/Calculus/FDeriv/Analytic.lean,Mathlib/Analysis/Calculus/FDeriv/Pow.lean,Mathlib/Analysis/Calculus/FDeriv/Symmetric.lean,Mathlib/Analysis/Calculus/UniformLimitsDeriv.lean,Mathlib/Analysis/Complex/Periodic.lean,Mathlib/Analysis/Convex/Segment.lean,Mathlib/Analysis/LocallyConvex/WeakOperatorTopology.lean,Mathlib/Analysis/LocallyConvex/WeakSpace.lean,Mathlib/Analysis/LocallyConvex/WithSeminorms.lean,Mathlib/Analysis/Normed/Affine/AddTorsorBases.lean,Mathlib/Analysis/Normed/Lp/PiLp.lean,Mathlib/Analysis/Normed/Lp/lpSpace.lean,Mathlib/Analysis/Normed/Module/MStructure.lean,Mathlib/Analysis/Seminorm.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/Rpow/IntegralRepresentation.lean,Mathlib/Analysis/SpecialFunctions/Elliptic/Weierstrass.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Angle.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Chebyshev/RootsExtrema.lean,Mathlib/CategoryTheory/Abelian/SerreClass/Localization.lean,Mathlib/CategoryTheory/Adhesive/Basic.lean,Mathlib/CategoryTheory/Category/PartialFun.lean,Mathlib/CategoryTheory/EquivalenceRelation.lean,Mathlib/CategoryTheory/Extensive.lean,Mathlib/CategoryTheory/FiberedCategory/Fibered.lean,Mathlib/CategoryTheory/Generator/StrongGenerator.lean,Mathlib/CategoryTheory/Limits/Indization/FilteredColimits.lean,Mathlib/CategoryTheory/Limits/IsLimit.lean,Mathlib/CategoryTheory/Limits/Preserves/Shapes/Products.lean,Mathlib/CategoryTheory/Limits/Shapes/CombinedProducts.lean,Mathlib/CategoryTheory/Limits/VanKampen.lean,Mathlib/CategoryTheory/Monoidal/Closed/Ideal.lean,Mathlib/CategoryTheory/ObjectProperty/LimitsClosure.lean,Mathlib/CategoryTheory/ObjectProperty/Retract.lean,Mathlib/CategoryTheory/ObjectProperty/Shift.lean,Mathlib/CategoryTheory/ObjectProperty/Small.lean,Mathlib/CategoryTheory/PathCategory/MorphismProperty.lean,Mathlib/CategoryTheory/Presentable/Directed.lean,Mathlib/CategoryTheory/Presentable/Type.lean,Mathlib/CategoryTheory/Products/Basic.lean,Mathlib/CategoryTheory/Sites/CompatiblePlus.lean,Mathlib/CategoryTheory/Sites/CoverLifting.lean,Mathlib/CategoryTheory/Sites/Coverage.lean,Mathlib/CategoryTheory/Sites/Hypercover/Saturate.lean,Mathlib/CategoryTheory/Sites/Hypercover/ZeroFamily.lean,Mathlib/CategoryTheory/Sites/Point/Conservative.lean,Mathlib/CategoryTheory/Triangulated/Pretriangulated.lean,Mathlib/CategoryTheory/Yoneda.lean,Mathlib/Combinatorics/Additive/FreimanHom.lean,Mathlib/Combinatorics/Matroid/Closure.lean |
259 |
25 |
['felixpernegger', 'github-actions', 'leanprover-radar', 'mathlib-bors', 'mathlib-merge-conflicts', 'plp127'] |
nobody |
1-40487 1 day ago |
1-41343 1 day ago |
11-41381 11 days |
| 40530 |
j-loreaux author:j-loreaux |
feat: introduce `SelfAdjointDecompose` class |
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|
t-algebra
maintainer-merge
label:t-algebra$ |
70/27 |
Mathlib/Algebra/Order/Star/Basic.lean,Mathlib/Algebra/Order/Star/Real.lean,Mathlib/Analysis/CStarAlgebra/PositiveLinearMap.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/PosPart/Basic.lean,Mathlib/LinearAlgebra/Complex/Module.lean |
5 |
23 |
['eric-wieser', 'github-actions', 'j-loreaux', 'themathqueen'] |
nobody |
1-39588 1 day ago |
2-79302 2 days ago |
4-24059 4 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 |
1-38465 1 day ago |
7-29888 7 days ago |
7-30449 7 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 |
1-37493 1 day ago |
1-38356 1 day ago |
1-38330 1 day |
| 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 |
1-37065 1 day ago |
1-57225 1 day ago |
1-56716 1 day |
| 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'] |
nobody |
1-35382 1 day ago |
1-81204 1 day ago |
1-80695 1 day |
| 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 |
1-32183 1 day ago |
1-32967 1 day ago |
2-11179 2 days |
| 35255 |
vlad902 author:vlad902 |
feat(SimpleGraph): `cycleGraph` is contained in every graph with a cycle |
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|
t-combinatorics |
34/0 |
Mathlib/Combinatorics/SimpleGraph/Circulant.lean |
1 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
1-31699 1 day ago |
49-20902 49 days ago |
49-21340 49 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 |
18/11 |
Mathlib/Data/Matrix/Basic.lean |
1 |
2 |
['github-actions', 'themathqueen'] |
joneugster assignee:joneugster |
1-31581 1 day ago |
38-27891 38 days ago |
38-27382 38 days |
| 40516 |
j-loreaux author:j-loreaux |
feat: conditions for commuting with a unitary element |
---
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|
t-algebra
easy
maintainer-merge
label:t-algebra$ |
21/0 |
Mathlib/Algebra/Group/Submonoid/Basic.lean,Mathlib/Algebra/Star/Unitary.lean |
2 |
9 |
['github-actions', 'j-loreaux', 'themathqueen'] |
nobody |
1-28986 1 day ago |
1-28986 1 day ago |
3-62476 3 days |
| 36418 |
j-loreaux author:j-loreaux |
feat: add `IsMulCommutative` instances for topological closures of subobjects |
---
- [ ] depends on: #36549
- [ ] depends on: #36552
- [ ] depends on: #36553
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|
t-topology
t-algebra
label:t-algebra$ |
151/67 |
Mathlib/Analysis/CStarAlgebra/Classes.lean,Mathlib/Analysis/CStarAlgebra/ContinuousFunctionalCalculus/Basic.lean,Mathlib/Analysis/CStarAlgebra/GelfandDuality.lean,Mathlib/GroupTheory/Focal.lean,Mathlib/Topology/Algebra/Algebra.lean,Mathlib/Topology/Algebra/Group/Basic.lean,Mathlib/Topology/Algebra/Monoid.lean,Mathlib/Topology/Algebra/NonUnitalAlgebra.lean,Mathlib/Topology/Algebra/NonUnitalStarAlgebra.lean,Mathlib/Topology/Algebra/Ring/Basic.lean,Mathlib/Topology/Algebra/StarSubalgebra.lean |
11 |
22 |
['github-actions', 'j-loreaux', 'leanprover-radar', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
1-28689 1 day ago |
5-23871 5 days ago |
5-26329 5 days |
| 40332 |
j-mayoral author:j-mayoral |
feat(FinitelyPresentedGroup): free product of finitely presented is finitely presented |
Adds the instance for the Coproduct of FinitelyPresentedGroup:
`[IsFinitelyPresented G] [IsFinitelyPresented H]: IsFinitelyPresented (Coprod G H)` |
new-contributor
t-group-theory
large-import
|
27/0 |
Mathlib/GroupTheory/FinitelyPresentedGroup.lean |
1 |
8 |
['github-actions', 'homeowmorphism', 'j-mayoral', 'tb65536'] |
tb65536 assignee:tb65536 |
1-25319 1 day ago |
1-26190 1 day ago |
9-55145 9 days |
| 40126 |
tb65536 author:tb65536 |
feat(NumberTheory/RamificationInertia/Galois): ramification inertia refactor |
This is a first pass at refactoring `NumberTheory/RamificationInertia/Galois` to use the new definitions `ramificationIdx'` and `inertiaDeg'`. I tried to keep changes to downstream files minimal to keep this PR on the smaller side. More will be done in future PRs.
---
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- [x] depends on: #39714
- [x] depends on: #39977
- [x] depends on: #40123
- [x] depends on: #40124
- [x] depends on: #40130
- [x] depends on: #40203
- [x] depends on: #40247
- [x] depends on: #40373
- [x] depends on: #40374
- [x] depends on: #40436
[](https://gitpod.io/from-referrer/)
|
t-algebra
t-ring-theory
t-number-theory
large-import
label:t-algebra$ |
148/157 |
Mathlib/NumberTheory/NumberField/ClassNumber.lean,Mathlib/NumberTheory/NumberField/Cyclotomic/Galois.lean,Mathlib/NumberTheory/NumberField/Cyclotomic/Ideal.lean,Mathlib/NumberTheory/NumberField/ExistsRamified.lean,Mathlib/NumberTheory/RamificationInertia/Galois.lean,Mathlib/NumberTheory/RamificationInertia/HilbertTheory.lean,Mathlib/RingTheory/Ideal/GoingUp.lean,Mathlib/RingTheory/Ideal/Norm/RelNorm.lean |
8 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
riccardobrasca assignee:riccardobrasca |
1-21952 1 day ago |
1-40834 1 day ago |
1-40326 1 day |
| 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'] |
fpvandoorn assignee:fpvandoorn |
1-21627 1 day ago |
52-78184 52 days ago |
54-12697 54 days |
| 40572 |
Robby955 author:Robby955 |
feat(NumberTheory): first-order Euler-Maclaurin summation formula |
This adds the first-order Euler–Maclaurin summation formula to `Mathlib/NumberTheory/`.
It introduces `periodizedBernoulli1 x = Int.fract x - 1/2` (the 1-periodic first Bernoulli function) with the unconditional bound `|periodizedBernoulli1 x| ≤ 1/2`, and proves, for `f` continuously differentiable on `[a, b]` with `0 ≤ a ≤ b`,
```
∑ n ∈ Ioc a b, f n = ∫ x in a..b, f x + ∫ x in a..b, deriv f x * periodizedBernoulli1 x
```
as `sum_eq_integral_add_integral_deriv_mul_periodizedBernoulli1`.
Opened as a draft to settle naming first: `bernoulliFun` and `periodizedBernoulli` (on `UnitAddCircle`) are nearby, and `periodizedBernoulli1` may be better expressed in terms of one of them.
Lean Code and research is developed with AI assistance (Claude Code CLI, the model used was Opus 4.8).
Results are kernel checked locally, and I am writing these posts myself in order to fully comply with mathlib4's strict anti-ai policies.
I have opened a discussion on zulip for any feedback in regard to this PR, and to address any issues, questions or comments.
Update 1: following feedback
periodizedBernoulli1 is now bernoulliFun 1 (Int.fract x), which connects it to the existing bernoulliFun infrastructure rather than an ad-hoc named expression, without growing this PR's scope. The general periodizedBernoulli n := bernoulliFun n ∘ Int.fract family and the n-order Euler-Maclaurin formula are queued as a follow-up PR.
The statement is standardized on Int.floor throughout (the main theorem and the private floor-correction lemma). The Abel-summation step stays Nat-indexed internally, bridged to the Int.floor statement by a small cast helper, so the Nat/Int mixture is gone.
Update 2:
On the index set: I have kept a single floor type, so the main statement stays on Int.floor, and I added a Nat-endpoint corollary recovering ∑ k ∈ Ioc ⌊a⌋₊ ⌊b⌋₊, f k. Under 0 ≤ a ≤ b the two floors agree, so it is a short cast over the existing bridge lemma rather than a second proof, the same both-forms shape AbelSummation already uses with sum_mul_eq_sub_sub_integral_mul and sum_mul_eq_sub_sub_integral_mul'. Callers who want the ℕ-indexed sum then get it directly.
The sum over ℤ holds without a, b positive and only the Abel-summation proof needs it; translating the range to be positive and reapplying the Nat result would give that. This PR is intentionally kept minimal, so I will plan to add the unrestricted-ℤ form in the follow-up that introduces the general periodized Bernoulli family.
Rob |
t-number-theory
new-contributor
LLM-generated
|
226/0 |
Mathlib.lean,Mathlib/NumberTheory/EulerMaclaurin.lean |
2 |
14 |
['Robby955', 'ajirving', 'felixpernegger', 'github-actions', 'wwylele'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
1-14000 1 day ago |
3-52905 3 days ago |
3-52396 3 days |
| 39212 |
emlis42 author:emlis42 |
feat(Algebra/ContinuedFractions): add `partNums!` and `partDens!` |
This PR adds `partNums!` and `partDens!`, which provide infinite stream representations for the sequences of partial numerators and denominators of a generalized continued fraction. |
t-algebra
new-contributor
label:t-algebra$ |
8/0 |
Mathlib/Algebra/ContinuedFractions/Basic.lean |
1 |
4 |
['emlis42', 'github-actions', 'grunweg'] |
nobody |
1-11198 1 day ago |
36-34455 36 days ago |
36-33946 36 days |
| 39269 |
godofecht author:godofecht |
feat(Algebra/Spectrum): add the second resolvent identity |
Adds `spectrum.resolvent_sub_resolvent`:
For `a b : A` in an `R`-algebra and `r` in the resolvent set of both,
`resolvent a r - resolvent b r = resolvent a r * (a - b) * resolvent b r`.
Companion to `spectrum.resolvent_eq`. |
t-algebra
new-contributor
label:t-algebra$ |
15/0 |
Mathlib/Algebra/Algebra/Spectrum/Basic.lean |
1 |
3 |
['github-actions', 'wwylele'] |
nobody |
1-11078 1 day ago |
35-24427 35 days ago |
35-23918 35 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$ |
10/73 |
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/GaloisClosure.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 |
41 |
7 |
['github-actions', 'leanprover-radar', 'qawbecrdtey', 'yuanyi-350'] |
nobody |
1-5833 1 day ago |
4-46978 4 days ago |
4-46505 4 days |
| 35610 |
IvanRenison author:IvanRenison |
feat(Data/Fin): add several lemmas about subtraction of `Fin.{castLT, castAdd, castSucc, castPred}` |
---
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|
t-data |
66/0 |
Mathlib/Data/Fin/Basic.lean,Mathlib/Data/Fin/SuccPred.lean |
2 |
13 |
['IvanRenison', 'chrisflav', 'github-actions', 'robin-carlier', 'wwylele'] |
nobody |
1-5668 1 day ago |
46-15703 46 days ago |
111-48702 111 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'] |
JovanGerb assignee:JovanGerb |
1-4214 1 day ago |
32-18417 32 days ago |
32-17908 32 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 |
1-3349 1 day ago |
31-25512 31 days ago |
31-25003 31 days |
| 40051 |
grunweg author:grunweg |
fix: correct differential geometry elaborators around the tangent bundle |
The previous logic was simply wrong --- it was just masked in practice because
the `fromBaseInfo` strategy is tried first. (Indeed, just changing the order makes
both the build in `VectorBundle/Tangent` as well as a number of tests fail.)
This bugfix is important as #40047 (another elaborators bug fix) will change things,
so the tangent space strategy is tried first.
---
I don't feel strongly about the second commit, i.e. reordering the strategies now.
It yields slightly nicer output, so why not?
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t-differential-geometry
t-meta
|
12/23 |
Mathlib/Geometry/Manifold/Notation.lean,MathlibTest/DifferentialGeometry/Notation/Advanced.lean,MathlibTest/DifferentialGeometry/Notation/Delaborators.lean |
3 |
1 |
['github-actions'] |
JovanGerb assignee:JovanGerb |
1-3348 1 day ago |
17-39296 17 days ago |
17-38787 17 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 |
1-3346 1 day ago |
2-69971 2 days ago |
2-69462 2 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 |
1-2502 1 day ago |
1-5289 1 day ago |
1-4798 1 day |
| 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'] |
nobody |
1-799 1 day ago |
1-4628 1 day ago |
1-4137 1 day |
| 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 |
0-86273 23 hours ago |
1-644 1 day ago |
1-135 1 day |
| 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'] |
sgouezel assignee:sgouezel |
0-84955 23 hours ago |
21-5764 21 days ago |
21-5255 21 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'] |
nobody |
0-79857 22 hours ago |
0-80824 22 hours ago |
0-80505 22 hours |
| 40384 |
sgouezel author:sgouezel |
feat: the semivariation of a vector measure |
We define the semivariation of a vector measure (i.e., the supremum of the variation of its push-forwards by linear forms), and establish basic properties. We deduce that a vector measure is always bounded.
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large-import |
303/3 |
Mathlib.lean,Mathlib/Analysis/Normed/Group/Continuity.lean,Mathlib/MeasureTheory/VectorMeasure/Integral.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Basic.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Semivariation.lean,Mathlib/Topology/UniformSpace/Dini.lean,docs/references.bib |
7 |
2 |
['github-actions', 'sgouezel'] |
nobody |
0-74226 20 hours ago |
0-75706 20 hours ago |
7-68931 7 days |
| 35376 |
michaellee94 author:michaellee94 |
feat(Geometry/Manifold): orientable manifolds |
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new-contributor
t-differential-geometry
|
647/0 |
Mathlib.lean,Mathlib/Geometry/Manifold/Instances/Real.lean,Mathlib/Geometry/Manifold/Orientation.lean |
3 |
13 |
['Rida-Hamadani', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'michaellee94'] |
nobody |
0-73626 20 hours ago |
0-74356 20 hours ago |
0-74016 20 hours |
| 37381 |
martinwintermath author:martinwintermath |
chore(LinearAlgebra/SesquilinearForm): deprecate `IsOrtho` and associated lemmas |
Next steps in cleaning up bilinearity and orthogonality:
- deprecate `IsOrtho` and accompanying trivial lemmas (this also allows to shorten the proofs in `orthogonalBilin`).
- deprecate `ortho_smul_right` and `ortho_smul_left` since now provable from simp.
- remove uses of deprecated definitions.
- replace `IsOrtho` in undergrad.yaml by `iIsOrtho`.
See discussion at [#mathlib4 > Reorganizing bilinearity and orthogonality?](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Reorganizing.20bilinearity.20and.20orthogonality.3F/with/582426197)
Due to too agressive simplification I had to remove simp from
- `QuadraticMap.associated_apply`
- `QuadraticMap.isOrtho_polarBilin`
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t-algebra
maintainer-merge
label:t-algebra$ |
112/94 |
Mathlib/Algebra/Lie/InvariantForm.lean,Mathlib/Algebra/Lie/TraceForm.lean,Mathlib/Algebra/Lie/Weights/Killing.lean,Mathlib/LinearAlgebra/BilinearForm/Orthogonal.lean,Mathlib/LinearAlgebra/QuadraticForm/Basic.lean,Mathlib/LinearAlgebra/QuadraticForm/IsometryEquiv.lean,Mathlib/LinearAlgebra/QuadraticForm/Radical.lean,Mathlib/LinearAlgebra/QuadraticForm/TensorProduct.lean,Mathlib/LinearAlgebra/QuadraticForm/TensorProduct/Isometries.lean,Mathlib/LinearAlgebra/RootSystem/Finite/Nondegenerate.lean,Mathlib/LinearAlgebra/SesquilinearForm/Basic.lean,docs/undergrad.yaml |
12 |
14 |
['github-actions', 'martinwintermath', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mcdoll', 'vihdzp'] |
nobody |
0-68562 19 hours ago |
17-68904 17 days ago |
28-48931 28 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$ |
422/0 |
Mathlib.lean,Mathlib/LinearAlgebra/AffineSpace/Homogenization.lean,docs/references.bib |
3 |
15 |
['eric-wieser', 'gasparattila', 'github-actions'] |
nobody |
0-66562 18 hours ago |
1-41526 1 day ago |
32-60735 32 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 |
24/0 |
Mathlib/Analysis/Meromorphic/Order.lean |
1 |
4 |
['felixpernegger', 'github-actions', 'kebekus'] |
nobody |
0-65160 18 hours ago |
0-66304 18 hours ago |
4-45829 4 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 |
3 |
['dagurtomas', 'github-actions'] |
nobody |
0-64090 17 hours ago |
34-6505 34 days ago |
34-5996 34 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 |
6 |
['felixpernegger', 'github-actions', 'jcreinhold'] |
nobody |
0-63235 17 hours ago |
2-59884 2 days ago |
2-67849 2 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'] |
nobody |
0-62954 17 hours ago |
36-20134 36 days ago |
36-19857 36 days |
| 39370 |
fpvandoorn author:fpvandoorn |
feat: add specialized grind sets |
This adds two grind attributes for specialized tactics. See module doc for more information and motivation. This PR does not tag any lemmas yet.
[Zulip thread](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/small.20specialized.20grind.20sets/with/595132109)
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|
t-meta |
113/0 |
Mathlib.lean,Mathlib/Tactic.lean,Mathlib/Tactic/Common.lean,Mathlib/Tactic/GrindAttrs.lean |
4 |
6 |
['chenson2018', 'fpvandoorn', 'github-actions', 'mathlib-merge-conflicts'] |
JovanGerb assignee:JovanGerb |
0-60059 16 hours ago |
0-63127 17 hours ago |
30-3624 30 days |
| 40662 |
riccardobrasca author:riccardobrasca |
feat: add nthRootsFinset_eq_of_prime and related lemmas |
From flt-regular.
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|
t-ring-theory |
33/0 |
Mathlib/RingTheory/RootsOfUnity/PrimitiveRoots.lean |
1 |
1 |
['github-actions'] |
nobody |
0-59465 16 hours ago |
0-60377 16 hours ago |
0-59868 16 hours |
| 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'] |
dagurtomas assignee:dagurtomas |
0-58454 16 hours ago |
0-61009 16 hours ago |
1-50569 1 day |
| 40527 |
chrisflav author:chrisflav |
feat(CategoryTheory/Sites): pushforward and pullback of presieves |
We define analogues of `Sieve.pushforward` and `Sieve.pullback` for `Presieve`s and show the Galois connection.
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|
t-category-theory
maintainer-merge
|
155/4 |
Mathlib/CategoryTheory/Sites/CoproductSheafCondition.lean,Mathlib/CategoryTheory/Sites/Hypercover/Zero.lean,Mathlib/CategoryTheory/Sites/IsSheafFor.lean,Mathlib/CategoryTheory/Sites/Sieves.lean |
4 |
4 |
['dagurtomas', 'github-actions'] |
nobody |
0-57850 16 hours ago |
5-4424 5 days ago |
5-4319 5 days |
| 40658 |
SnirBroshi author:SnirBroshi |
chore(Order/Basic): move `Pi` & `Prop` orders to a new file |
Move the `LE` instances of `Pi` & `Prop` from `Order/Basic.lean` to a new `Order/Defs/Prop.lean`.
This lets `Logic/Relation.lean` import them so that it can use `≤` between relations, solving a TODO.
Also reverts #34391 (which changed `Type*` to `Sort*` in `Relation.lean`) because `Pi.hasLe` doesn't support sorts.
---
Extracted from #30526
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|
t-order |
38/21 |
Mathlib.lean,Mathlib/Logic/Relation.lean,Mathlib/Order/Basic.lean,Mathlib/Order/Defs/Prop.lean |
4 |
5 |
['SnirBroshi', 'eric-wieser', 'github-actions'] |
nobody |
0-56817 15 hours ago |
0-72089 19 hours ago |
0-71580 19 hours |
| 36099 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Sum): `edgeSet` equivalence |
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
23/0 |
Mathlib/Combinatorics/SimpleGraph/Sum.lean |
1 |
4 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
0-56280 15 hours ago |
0-57128 15 hours ago |
0-58575 16 hours |
| 39992 |
Brian-Nugent author:Brian-Nugent |
feat(CategoryTheory/Order): Lattice Homs preserve limits and colimits |
Provides instances for when [OrderHom.toFunctor](https://leanprover-community.github.io/mathlib4_docs/Mathlib/CategoryTheory/Category/Preorder.html#OrderHom.toFunctor) preserves limits and colimits.
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|
t-category-theory
t-order
maintainer-merge
|
105/0 |
Mathlib.lean,Mathlib/CategoryTheory/Limits/Preserves/Lattice.lean |
2 |
3 |
['dagurtomas', 'github-actions'] |
robin-carlier assignee:robin-carlier |
0-54316 15 hours ago |
18-78197 18 days ago |
18-80682 18 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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|
t-combinatorics |
67/1 |
Mathlib/Combinatorics/SimpleGraph/Acyclic.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean,Mathlib/Order/RelIso/Basic.lean |
3 |
8 |
['SnirBroshi', 'github-actions', 'jt0202', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
0-53950 14 hours ago |
0-57154 15 hours ago |
0-57441 15 hours |
| 39994 |
Brian-Nugent author:Brian-Nugent |
feat(CategoryTheory): Functors that preserve the terminal object are Final |
---
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|
t-category-theory |
20/1 |
Mathlib/CategoryTheory/Limits/Final.lean,Mathlib/CategoryTheory/Sites/CoproductSheafCondition.lean |
2 |
4 |
['Brian-Nugent', 'dagurtomas', 'github-actions', 'joelriou'] |
robin-carlier assignee:robin-carlier |
0-53501 14 hours ago |
12-13383 12 days ago |
18-33950 18 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 |
20 |
['Rida-Hamadani', 'SnirBroshi', 'YaelDillies', 'github-actions', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
0-51894 14 hours ago |
0-52752 14 hours ago |
35-20316 35 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'] |
nobody |
0-50902 14 hours ago |
4-72258 4 days ago |
4-71749 4 days |
| 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. |
t-algebra label:t-algebra$ |
58/0 |
Mathlib.lean,Mathlib/Algebra/BigOperators/Periodic.lean,Mathlib/Algebra/Ring/Periodic.lean |
3 |
17 |
['github-actions', 'j-loreaux', 'jessealama', 'mathlib-splicebot', 'themathqueen', 'wwylele'] |
themathqueen assignee:themathqueen |
0-49207 13 hours ago |
5-53100 5 days ago |
50-58203 50 days |
| 40050 |
ReemMelamed author:ReemMelamed |
feat(Algebra/Group/GreensRelations): add definitions for Green's relations |
This PR introduces the foundational definitions for Green's relations (L, R, H, D, and J) on semigroups.
This is the first in a series of PRs aimed at formalizing Green's relations for semigroups.
---
Zulip discussion: [Formalization of Green's Relations for semigroups](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Formalization.20of.20Green.27s.20Relations.20for.20semigroups/with/598557876) |
t-algebra
new-contributor
label:t-algebra$ |
318/0 |
Mathlib.lean,Mathlib/Algebra/Group/GreensRelations/Basic.lean,Mathlib/Algebra/Group/GreensRelations/Defs.lean |
3 |
18 |
['ReemMelamed', 'YaelDillies', 'YanYablonovskiy', 'github-actions', 'mathlib-bors'] |
nobody |
0-48395 13 hours ago |
10-47693 10 days ago |
17-27930 17 days |
| 40669 |
mathlib-splicebot author:mathlib-splicebot |
chore(Algebra/Ring/Periodic): automated extraction from #38483 |
---
This PR was automatically created from PR #38483 by @jessealama via a [review comment](https://github.com/leanprover-community/mathlib4/pull/38483#discussion_r3420828318) by @themathqueen. |
maintainer-merge
t-algebra
label:t-algebra$ |
7/0 |
Mathlib/Algebra/Ring/Periodic.lean |
1 |
3 |
['github-actions', 'themathqueen'] |
nobody |
0-47504 13 hours ago |
0-49209 13 hours ago |
0-48700 13 hours |
| 37835 |
YaelDillies author:YaelDillies |
doc(Algebra/Order): update mentions of `OrderedSemiring` and friends |
As of #20676, it was replaced by `IsOrderedRing`. Also deprecate `Rat.coe_int_inj` in favor of `Rat.intCast_inj` and action a TODO in `norm_num`'s code.
Not all docs were straightforward to update.
---
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|
t-algebra
t-order
label:t-algebra$ |
139/314 |
Counterexamples/HomogeneousPrimeNotPrime.lean,Counterexamples/OrderedCancelAddCommMonoidWithBounds.lean,Mathlib/Algebra/Group/Subgroup/Order.lean,Mathlib/Algebra/Group/ULift.lean,Mathlib/Algebra/Order/AddTorsor.lean,Mathlib/Algebra/Order/CompleteField.lean,Mathlib/Algebra/Order/Floor/Defs.lean,Mathlib/Algebra/Order/Floor/Ring.lean,Mathlib/Algebra/Order/Floor/Semiring.lean,Mathlib/Algebra/Order/Group/Cone.lean,Mathlib/Algebra/Order/Group/Cyclic.lean,Mathlib/Algebra/Order/GroupWithZero/Defs.lean,Mathlib/Algebra/Order/Hom/Monoid.lean,Mathlib/Algebra/Order/Interval/Set/Monoid.lean,Mathlib/Algebra/Order/Monoid/Canonical/Defs.lean,Mathlib/Algebra/Order/Monoid/Unbundled/Defs.lean,Mathlib/Algebra/Order/Monoid/Unbundled/ExistsOfLE.lean,Mathlib/Algebra/Order/Nonneg/Field.lean,Mathlib/Algebra/Order/Nonneg/Ring.lean,Mathlib/Algebra/Order/Positive/Ring.lean,Mathlib/Algebra/Order/Ring/Basic.lean,Mathlib/Algebra/Order/Ring/Cone.lean,Mathlib/Algebra/Order/Ring/Defs.lean,Mathlib/Algebra/Order/Ring/Unbundled/Basic.lean,Mathlib/Algebra/Order/Star/Basic.lean,Mathlib/Algebra/Order/Sub/Basic.lean,Mathlib/Algebra/Order/Sub/WithTop.lean,Mathlib/Algebra/Order/ToIntervalMod.lean,Mathlib/Algebra/Order/WithTop/Untop0.lean,Mathlib/Analysis/Complex/Order.lean,Mathlib/Combinatorics/Pigeonhole.lean,Mathlib/Data/Finsupp/Weight.lean,Mathlib/Data/NNReal/Defs.lean,Mathlib/Data/Nat/Cast/Order/Basic.lean,Mathlib/Data/Nat/Cast/Order/Ring.lean,Mathlib/LinearAlgebra/Matrix/Irreducible/Defs.lean,Mathlib/MeasureTheory/Function/LpOrder.lean,Mathlib/MeasureTheory/Measure/Typeclasses/Finite.lean,Mathlib/Order/Filter/AtTopBot/Archimedean.lean,Mathlib/Order/Filter/Germ/OrderedMonoid.lean,Mathlib/Order/Interval/Finset/Nat.lean,Mathlib/Order/Interval/Set/Defs.lean,Mathlib/Order/Interval/Set/OrdConnected.lean,Mathlib/RingTheory/GradedAlgebra/Radical.lean,Mathlib/RingTheory/HahnSeries/PowerSeries.lean,Mathlib/RingTheory/HahnSeries/Valuation.lean,Mathlib/RingTheory/MvPolynomial/WeightedHomogeneous.lean,Mathlib/Tactic/NormNum/Ineq.lean,MathlibTest/positivity.lean,docs/overview.yaml |
50 |
16 |
['NoahW314', 'SnirBroshi', 'Vierkantor', 'YaelDillies', 'github-actions', 'mathlib-merge-conflicts'] |
Vierkantor assignee:Vierkantor |
0-45239 12 hours ago |
0-48457 13 hours ago |
63-73864 63 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 |
0-44348 12 hours ago |
0-44348 12 hours ago |
80-22738 80 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 |
0-42669 11 hours ago |
0-46514 12 hours ago |
52-13999 52 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 |
0-42621 11 hours ago |
0-43652 11 hours ago |
52-32345 52 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 |
4 |
['github-actions', 'themathqueen', 'wwylele'] |
nobody |
0-42587 11 hours ago |
2-33348 2 days ago |
2-34809 2 days |
| 40254 |
joelriou author:joelriou |
feat(AlgebraicTopology): a nonsingular simplicial set is the colimit of standard simplices indexed by nondegenerate simplices |
---
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t-algebraic-topology
maintainer-merge
|
212/2 |
Mathlib.lean,Mathlib/AlgebraicTopology/SimplicialSet/NonDegenerateSimplicesColimit.lean,Mathlib/AlgebraicTopology/SimplicialSet/Nonsingular.lean,Mathlib/AlgebraicTopology/SimplicialSet/NonsingularColimit.lean,Mathlib/AlgebraicTopology/SimplicialSet/StdSimplex.lean |
5 |
3 |
['dagurtomas', 'github-actions'] |
nobody |
0-36057 10 hours ago |
0-37136 10 hours ago |
11-51483 11 days |
| 40515 |
j-loreaux author:j-loreaux |
feat: `Monoid` and `Group` instances for `OrderHom` and `OrderIso` |
These will be used in an upcoming PR to turn `fun x ↦ (x * · * star x)` into a term of type `R →* (R →o R)` when `R` is a `StarOrderedRing`, and likewise also `Rˣ →* (R ≃o R)`.
---
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|
t-algebra
t-order
large-import
maintainer-merge
label:t-algebra$ |
45/0 |
Mathlib/Algebra/Order/Group/End.lean,Mathlib/Data/FunLike/IsApply.lean |
2 |
23 |
['eric-wieser', 'github-actions', 'j-loreaux', 'themathqueen'] |
nobody |
0-34858 9 hours ago |
4-13357 4 days ago |
4-57309 4 days |
| 38049 |
WilliamCoram author:WilliamCoram |
feat: lemmas towards showing gaussNorm on MvPowerSeries is an absolute value |
We prove lemmas: ``gaussNorm_mul_le`` and ``gaussNorm_le_mul`` which will allow us to show it is an absolute value on Mv restricted power series.
---
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|
t-ring-theory
new-contributor
|
173/51 |
Mathlib/Algebra/Order/Ring/IsNonarchimedean.lean,Mathlib/Analysis/Normed/Unbundled/FiniteExtension.lean,Mathlib/Analysis/Normed/Unbundled/SpectralNorm.lean,Mathlib/RingTheory/MvPowerSeries/GaussNorm.lean,Mathlib/RingTheory/Polynomial/GaussNorm.lean |
5 |
21 |
['WilliamCoram', 'fbarroero', 'github-actions', 'riccardobrasca'] |
riccardobrasca assignee:riccardobrasca |
0-34723 9 hours ago |
0-35771 9 hours ago |
63-31478 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 |
0-34581 9 hours ago |
0-49407 13 hours ago |
0-48898 13 hours |
| 40491 |
zw810-ctrl author:zw810-ctrl |
feat(Algebra): range_prodMap for MonoidHom, RingHom, AlgHom |
---
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|
t-algebra
new-contributor
maintainer-merge
label:t-algebra$ |
34/1 |
Mathlib/Algebra/Algebra/Subalgebra/Prod.lean,Mathlib/Algebra/Group/Subgroup/Basic.lean,Mathlib/Algebra/Group/Submonoid/Operations.lean,Mathlib/Algebra/Ring/Subring/Basic.lean,Mathlib/Algebra/Ring/Subsemiring/Basic.lean,Mathlib/RingTheory/Ideal/Prod.lean |
6 |
19 |
['eric-wieser', 'github-actions', 'themathqueen', 'zw810-ctrl'] |
nobody |
0-34012 9 hours ago |
0-36488 9 hours ago |
5-1873 5 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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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'] |
nobody |
0-33878 9 hours ago |
12-22912 12 days ago |
12-22403 12 days |
| 40013 |
WilliamCoram author:WilliamCoram |
feat: define bounded sets and power bounded elements |
We define bounded sets, so that we can define power bounded elements in a topological ring. Using this we generalise some notions of topoligcally nilpotent elements and define a residue field.
AI usage: some proofs were initially generated with Claude code before being cleaned and/or rewritten by hand.
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|
t-topology
LLM-generated
large-import
|
431/5 |
Mathlib.lean,Mathlib/Topology/Algebra/Bounded.lean,Mathlib/Topology/Algebra/PowerBounded.lean,Mathlib/Topology/Algebra/TopologicallyNilpotent.lean |
4 |
11 |
['ADedecker', 'WilliamCoram', 'github-actions', 'mathlib-merge-conflicts', 'vihdzp', 'wwylele'] |
urkud assignee:urkud |
0-32115 8 hours ago |
0-33078 9 hours ago |
14-66822 14 days |
| 36667 |
NoneMore author:NoneMore |
feat(ModelTheory): add `exClosure` definition for first-order formulas |
Prepare for moving realizations between elementarily equivalent structures.
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|
new-contributor
t-logic
|
38/0 |
Mathlib/ModelTheory/Semantics.lean,Mathlib/ModelTheory/Syntax.lean |
2 |
5 |
['NoneMore', 'fpvandoorn', 'github-actions'] |
nobody |
0-31780 8 hours ago |
0-31936 8 hours ago |
93-51334 93 days |
| 39903 |
akiezun author:akiezun |
feat(NumberTheory): add almost prime numbers |
Adds Nat.IsAlmostPrime k n for natural numbers with exactly k prime factors counted with multiplicity, plus
Nat.IsAtMostAlmostPrime and Nat.IsSemiprime. The definitions reuse the existing arithmetic function Ω, and the initial
API proves the basic zero/one cases, prime examples, and closure under multiplication.
---
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|
new-contributor
t-number-theory
maintainer-merge
|
91/0 |
Mathlib.lean,Mathlib/NumberTheory/AlmostPrime.lean |
2 |
9 |
['SnirBroshi', 'akiezun', 'github-actions', 'loefflerd', 'mathlib-merge-conflicts', 'riccardobrasca', 'vihdzp'] |
loefflerd assignee:loefflerd |
0-30257 8 hours ago |
0-31073 8 hours ago |
17-25357 17 days |
| 40676 |
grunweg author:grunweg |
chore: add deprecations for `Data/Set/{Accumulate,Dissipate}` |
Follow-up to #40003.
---
- [x] depends on: #40003
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|
12/0 |
Mathlib.lean,Mathlib/Data/Set/Accumulate.lean,Mathlib/Data/Set/Dissipate.lean |
3 |
4 |
['github-actions', 'grunweg', 'mathlib-dependent-issues', 'sgouezel'] |
nobody |
0-27144 7 hours ago |
0-27985 7 hours ago |
0-27500 7 hours |
| 40667 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Paths): `p.IsPath → p.dropLast.IsPath` |
We have this for `tail`/`take`/`drop`/`takeUntil`/`dropUntil`/`reverse`/`copy`/`concat` but not for `dropLast`.
---
btw we're missing most of these for `IsTrail`, but trails do have an `append` theorem that paths are missing.
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t-combinatorics
easy
|
7/0 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean |
1 |
2 |
['github-actions', 'vlad902'] |
nobody |
0-24702 6 hours ago |
0-51193 14 hours ago |
0-50684 14 hours |
| 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$ |
8/3 |
Mathlib/Algebra/Category/ModuleCat/Adjunctions.lean |
1 |
3 |
['ADedecker', 'github-actions', 'themathqueen'] |
nobody |
0-22733 6 hours ago |
9-73465 9 days ago |
9-72956 9 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'] |
nobody |
0-20330 5 hours ago |
0-21905 5 hours ago |
1-50958 1 day |
| 40634 |
grunweg author:grunweg |
feat: PiLp.equivOfUnique |
Add the isomorphism between `PiLp` over any `Unique` index type and the corresponding individual type.
Generalise `PiLp.linearEquiv` to topological vector spaces, then this is straightforward.
This will be used in #29077, to yield an equivalence `EuclideanSpace 𝕜 (Fin 1) ≃L[𝕜] 𝕜`.
---
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|
t-analysis
maintainer-merge
|
15/2 |
Mathlib/Analysis/Normed/Lp/PiLp.lean |
1 |
37 |
['eric-wieser', 'github-actions', 'grunweg', 'themathqueen', 'wwylele'] |
nobody |
0-18851 5 hours ago |
0-21232 5 hours ago |
0-41730 11 hours |
| 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 |
0-18394 5 hours ago |
1-56680 1 day ago |
1-56171 1 day |
| 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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|
large-import
t-algebra
LLM-generated
label:t-algebra$ |
213/2 |
Mathlib/Data/Matrix/Mul.lean,Mathlib/LinearAlgebra/Matrix/Symmetric.lean,Mathlib/LinearAlgebra/Matrix/Transvection.lean,Mathlib/LinearAlgebra/SymplecticGroup.lean |
4 |
25 |
['Whysoserioushah', 'Yu-Misaka', 'faenuccio', 'github-actions', 'mathlib-bors', 'themathqueen', 'wwylele'] |
nobody |
0-18285 5 hours ago |
0-18285 4 hours ago |
6-82051 6 days |
| 40678 |
marcelolynch author:marcelolynch |
ci(cache): consolidate cache fetching into one action, warmed from master |
Consolidates the build job's cache fetch into a single `get-cache` action. It used to be a 3-step sequence (a cold-cache probe, a landrun verify, then a parent-commit warmup plus the fetch); now one action runs a single HEAD-scoped `cache get`, optionally warmed from a free master snapshot. Two things come out of that:
- HEAD-scoped fetch: dropping the parent-commit warmup (which checked out other SHAs and read their cache) means a run reads only its own scope plus the trusted master snapshot, matching the per-commit scope from #40035.
- Warmed from master: master's `.ltar` set is otherwise re-read from the paid Azure cache on every cold runner. The master `push` build in `build.yml` now publishes it once as a free `cache-snapshot` artifact, pruned to that commit's set and reusing what is already on disk, so it adds no Azure read. The action seeds `~/.cache/mathlib` from the snapshot at the PR's merge-base (its unchanged files hash identically there), else the newest one at-or-before it, else the latest, before fetching, so the unchanged-from-master oleans come from GitHub rather than Azure.
The snapshot download is trust-pinned to master push runs and fail-safe (any problem falls back to a plain Azure `cache get`), and fork-safe because `pull_request_target` runs the base branch's workflow and actions rather than the PR's. Each run logs a warm/cold count. `bors.yml` and `ci_dev.yml` gain read-only `actions: read`. Snapshot retention is 14 days, and `.ltar` are input-hash-keyed, so a stale base falls back gracefully. |
CI |
138/93 |
.github/actions/get-cache/action.yml,.github/workflows/bors.yml,.github/workflows/build.yml,.github/workflows/build_fork.yml,.github/workflows/build_template.yml,.github/workflows/ci_dev.yml |
6 |
1 |
['github-actions'] |
nobody |
0-18113 5 hours ago |
0-18574 5 hours ago |
0-18065 5 hours |
| 40233 |
bryangingechen author:bryangingechen |
ci: split build job so post-build chain overlaps test+lint |
Peel `test` and `lint` out of the self-hosted `build` job into a new self-hosted `test_lint` job, so the GitHub-hosted post-build chain (`upload_cache` -> `post_steps`) no longer waits behind the ~300s test+lint tail of `build`.
- New `test_lint` job (self-hosted, `needs: [build, upload_cache]`): re-does the setup prefix, fetches this run's oleans with `cache get` + verifies the Mathlib cache is complete (mirrors `post_steps`), then runs test, lint, and the nightly-testing comment. Its PR-branch checkout is shallow (fetch-depth: 1): unlike `build` it does no parent-commit cache warmup, so it only needs HEAD.
- `build` job: `test`/`lint` removed; `noisy` moved up to right after the Counterexamples build (it only needs the just-built oleans), so it stays in `build` and `test_lint` need not fetch Archive/Counterexamples. `test`/`lint` outputs move to `test_lint`.
- `final`: now also `needs: test_lint` and requires its success.
Prepared with Claude code
---
See also [this (LLM-generated) report](https://github.com/bryangingechen/mathlib4_ci_parallel_simulation/blob/main/reports/02-overlap-postbuild-with-test-lint.md) for more details on how a split like this could improve build times.
- [ ] depends on: #40035
|
CI
LLM-generated
|
293/28 |
.github/workflows/build_template.yml,bors.toml |
2 |
13 |
['bryangingechen', 'github-actions', 'marcelolynch', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
0-16208 4 hours ago |
1-1618 1 day ago |
1-1109 1 day |
| 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'] |
nobody |
0-15842 4 hours ago |
1-22384 1 day ago |
6-10646 6 days |
| 40546 |
chrisflav author:chrisflav |
chore(AlgebraicGeometry/AffineTransitionLimit): deduce that `Hom(-, X)` preserves certain cofiltered limits |
We deduce this from the unbundled statement. Usually the unbundled formulation is more useful, but sometimes we need the categorical spelling to apply general API. We also add some API for descending a finite affine open cover.
From Proetale.
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t-algebraic-geometry
maintainer-merge
|
96/12 |
Mathlib/AlgebraicGeometry/AffineTransitionLimit.lean |
1 |
3 |
['dagurtomas', 'github-actions'] |
nobody |
0-14210 3 hours ago |
4-48006 4 days ago |
4-47497 4 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 |
38 |
['Brian-Nugent', 'dagurtomas', 'github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
robin-carlier assignee:robin-carlier |
0-13215 3 hours ago |
0-21351 5 hours ago |
34-21890 34 days |
| 40686 |
mathlib-splicebot author:mathlib-splicebot |
chore(LinearAlgebra/Matrix/Hermitian): `star A = A` from Hermitian `A` shortcut |
---
This PR was automatically created from PR #39589 by @ScottWe via a [review comment](https://github.com/leanprover-community/mathlib4/pull/39589#discussion_r3424680020) by @themathqueen. |
maintainer-merge
t-algebra
label:t-algebra$ |
2/0 |
Mathlib/LinearAlgebra/Matrix/Hermitian.lean |
1 |
3 |
['github-actions', 'themathqueen'] |
nobody |
0-9032 2 hours ago |
0-9975 2 hours ago |
0-9574 2 hours |
| 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`.
The PR includes `Finpartition` theorem (`pairwiseDisjoint_apply`) which is required for the main proof. (If this should be moved to a separate PR, just let me know and I'll do so.)
An alternate proof of `pairwiseDisjoint_apply` is to first prove the unbundled analogue of `Disjoint.map` (`Mathlib/Order/Hom/BoundedLattice.lean`):
```lean4
theorem Disjoint.map_of_inf_bot [SemilatticeInf β] [OrderBot β] {f : α → β}
(hf : ∀ x y, f (x ⊓ y) = f x ⊓ f y) (hbot : f ⊥ = ⊥) {a b : α} (h : Disjoint a b) : Disjoint (f a) (f b)
```
And then use this for the quick proof of `pairwiseDisjoint_apply`. The bundled `Disjoint.map` is not directly usable. It's unclear when things are better bundled and when not. Should the unbundled version be added alongside the bundled version? However I don't see any precedence for this.
Co-authored-by: @yoh-tanimoto
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|
t-measure-probability |
56/0 |
Mathlib/MeasureTheory/VectorMeasure/Variation/Basic.lean,Mathlib/Order/Partition/Finpartition.lean |
2 |
12 |
['github-actions', 'leanprover-radar', 'mathlib4-merge-conflict-bot', 'oliver-butterley', 'yoh-tanimoto'] |
EtienneC30 assignee:EtienneC30 |
0-8305 2 hours ago |
2-45919 2 days ago |
18-25234 18 days |
| 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 |
48/4 |
Mathlib/Analysis/Asymptotics/SpecificAsymptotics.lean |
1 |
7 |
['chenson2018', 'github-actions', 'kebekus', 'wwylele'] |
nobody |
0-7089 1 hour ago |
0-56064 15 hours ago |
0-55555 15 hours |
| 39353 |
Raph-DG author:Raph-DG |
feat(Topology): Show existence of a neighbourhood around p which avoids all points in the support of a locally finsupp function except those which specialize to p |
In this PR we show a simple lemma proving the existence of a neighbourhood around any point p which avoids every point in the support of a locally finsupp function except those which specialize to p.
AI disclosure: The statements and a sketch with sorries were provided by me, but I had claude fill in the sorries.
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|
t-topology |
29/0 |
Mathlib/Topology/LocallyFinsupp.lean |
1 |
1 |
['github-actions'] |
nobody |
0-5670 1 hour ago |
18-45668 18 days ago |
18-76494 18 days |
| 39991 |
Brian-Nugent author:Brian-Nugent |
chore(Topology): refactor TopologicalSpace.Opens.map to use OrderHom.toFunctor |
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t-topology |
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 |
1 |
['github-actions'] |
nobody |
0-5669 1 hour ago |
19-22168 19 days ago |
19-21659 19 days |
| 40046 |
gasparattila author:gasparattila |
feat(Topology/Sets): compositional continuity lemma for `(Nonempty)Compacts.map` |
This can be used to prove the continuity of a function containing `Compacts.map f`, where `f` itself depends on the variable.
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t-topology |
18/3 |
Mathlib/Topology/Sets/VietorisTopology.lean |
1 |
1 |
['github-actions'] |
nobody |
0-5668 1 hour ago |
17-44260 17 days ago |
17-43751 17 days |
| 33313 |
SnirBroshi author:SnirBroshi |
feat(Combinatorics/SimpleGraph/Coloring/Edge): create a basic edge-coloring API |
Module name decided on [Zulip](https://leanprover.zulipchat.com/#narrow/channel/252551-graph-theory/topic/Coloring.20module.20names/with/583281500).
---
Future work (which I'm working on):
- Relating degrees to edge-colorability (`G.maxDegree ≤ G.chromaticIndex`, `G.EdgeColorable 1 ↔ G.maxDegree ≤ 1`, `G.chromaticIndex = 1 ↔ G.maxDegree = 1`, `G.EdgeColorable 2 ↔ G.maxDegree ≤ 2`, `G.chromaticIndex = 2 ↔ G.maxDegree = 2`)
- [Vizing's theorem](https://en.wikipedia.org/wiki/Vizing%27s_theorem) (`G.chromaticIndex ≤ G.maxDegree + 1`)
- `chromaticIndex ⊤ = (if Even #V then #V - 1 else #V)`
- `[Infinite α] → chromaticIndex ⊤ = ⊤`
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|
t-combinatorics |
300/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Coloring/Edge.lean |
2 |
33 |
['SnirBroshi', 'YaelDillies', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'ooovi'] |
nobody |
0-5667 1 hour ago |
47-34596 47 days ago |
84-75421 84 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'] |
thorimur assignee:thorimur |
0-5666 1 hour ago |
22-22181 22 days ago |
22-21672 22 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 |
137/0 |
Mathlib.lean,Mathlib/RingTheory/RegularLocalRing/Polynomial.lean |
2 |
12 |
['Thmoas-Guan', 'github-actions', 'joneugster', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
nobody |
0-5665 1 hour ago |
15-52981 15 days ago |
47-10517 47 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'] |
nobody |
0-5664 1 hour ago |
22-68939 22 days ago |
22-69107 22 days |
| 39110 |
SnirBroshi author:SnirBroshi |
chore(Data/Set): reduce defeq abuse of `Set α = α → Prop` |
These are among the first places that would fail if `Set α` wasn't defeq to `α → Prop`.
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[](https://gitpod.io/from-referrer/)
|
t-data |
35/20 |
Mathlib/Data/Set/Basic.lean,Mathlib/Data/Set/Defs.lean,Mathlib/Data/Set/Insert.lean,Mathlib/Data/Set/Prod.lean,Mathlib/Order/BooleanAlgebra/Set.lean |
5 |
25 |
['SnirBroshi', 'Vierkantor', 'github-actions', 'leanprover-radar', 'mathlib-bors', 'themathqueen', 'urkud', 'vihdzp'] |
nobody |
0-5663 1 hour ago |
31-60704 31 days ago |
37-61595 37 days |
| 40680 |
felixpernegger author:felixpernegger |
chore: remove redudant `nolint simpNF` |
Remove the attribute whenever its redundant.
Some of this comes from #23201, not sure about why others work.
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[](https://gitpod.io/from-referrer/)
|
|
16/54 |
Mathlib/Algebra/Group/Subgroup/Map.lean,Mathlib/Algebra/Group/Submonoid/Operations.lean,Mathlib/CategoryTheory/Localization/Construction.lean,Mathlib/CategoryTheory/PathCategory/Basic.lean,Mathlib/CategoryTheory/WithTerminal/Basic.lean,Mathlib/Data/Multiset/MapFold.lean,Mathlib/Data/Option/Basic.lean,Mathlib/FieldTheory/IntermediateField/Adjoin/Basic.lean,Mathlib/LinearAlgebra/CliffordAlgebra/Contraction.lean,Mathlib/LinearAlgebra/Matrix/GeneralLinearGroup/Defs.lean,Mathlib/ModelTheory/Order.lean,Mathlib/Order/Filter/Map.lean,Mathlib/RingTheory/Extension/Generators.lean,Mathlib/Topology/MetricSpace/Snowflaking.lean |
14 |
4 |
['felixpernegger', 'github-actions', 'leanprover-radar', 'mathlib-bors'] |
nobody |
0-3977 1 hour ago |
0-4577 1 hour ago |
0-4090 1 hour |
| 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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[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
218/26 |
Mathlib.lean,Mathlib/RingTheory/Depth/Rees.lean,Mathlib/RingTheory/Regular/LinearMap.lean,docs/references.bib |
4 |
61 |
['Thmoas-Guan', 'alreadydone', 'chrisflav', 'dagurtomas', 'erdOne', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
riccardobrasca assignee:riccardobrasca |
0-3457 57 minutes ago |
22-54071 22 days ago |
117-47778 117 days |
| 27493 |
themathqueen author:themathqueen |
feat(RingTheory/Coalgebra): define Frobenius algebra |
A Frobenius algebra `A` has the structure of both an algebra and a coalgebra such that:
`(mul ⊗ id) ∘ assoc.symm ∘ (id ⊗ comul) = comul ∘ mul = (id ⊗ mul) ∘ assoc ∘ (comul ⊗ id)`.
In diagrams this law looks like:
It suffices to show that
`(mul ⊗ id) ∘ assoc.symm ∘ (id ⊗ comul) = (id ⊗ mul) ∘ assoc ∘ (comul ⊗ id)`.
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- [x] depends on: #27569
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
112/0 |
Mathlib.lean,Mathlib/RingTheory/FrobeniusAlgebra.lean |
2 |
26 |
['JonBannon', 'YaelDillies', 'erdOne', 'github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'themathqueen'] |
riccardobrasca assignee:riccardobrasca |
0-3456 57 minutes ago |
48-17414 48 days ago |
94-81695 94 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)
#28905 is not actually required (nor useful) here
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[](https://gitpod.io/from-referrer/)
|
t-differential-geometry |
111/2 |
Mathlib/Analysis/Calculus/ContDiff/Defs.lean,Mathlib/Geometry/Manifold/ContMDiff/Defs.lean,Mathlib/Geometry/Manifold/Immersion.lean |
3 |
7 |
['github-actions', 'grunweg', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'peabrainiac'] |
sgouezel assignee:sgouezel |
0-3455 57 minutes ago |
2-47753 2 days ago |
2-47255 2 days |
| 33143 |
wwylele author:wwylele |
feat(PowerSeries): pentagonal number theorem |
The proof is split in two files: `Mathlib/Topology/Algebra/InfiniteSum/Pentagonal.lean` for the algebraic part, and `Mathlib/RingTheory/PowerSeries/Pentagonal.lean` for the summability part. In the near future, I also plan to prove the real/complex version that branches off from the algebraic part.
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[](https://gitpod.io/from-referrer/)
|
t-algebra
large-import
label:t-algebra$ |
361/6 |
Mathlib.lean,Mathlib/Combinatorics/Enumerative/Pentagonal.lean,Mathlib/RingTheory/PowerSeries/Pentagonal.lean,Mathlib/Topology/Algebra/InfiniteSum/Pentagonal.lean,docs/1000.yaml |
5 |
61 |
['copilot-pull-request-reviewer', 'github-actions', 'jcommelin', 'mathlib-dependent-issues', 'tb65536', 'urkud', 'vihdzp', 'wwylele'] |
themathqueen assignee:themathqueen |
0-3454 57 minutes ago |
46-7096 46 days ago |
156-18444 156 days |
| 36863 |
artie2000 author:artie2000 |
refactor(Algebra/Order/Ring/Ordering): unbundle `RingPreordering` |
The current design for [RingPreordering](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Algebra/Order/Ring/Ordering/Defs.html#RingPreordering) ran into issues at PR #32077. This PR unbundles [RingPreordering](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Algebra/Order/Ring/Ordering/Defs.html#RingPreordering) into a class predicate on [Subsemiring](https://leanprover-community.github.io/mathlib4_docs/Mathlib/Algebra/Ring/Subsemiring/Defs.html#Subsemiring), generalising the material on supports as far as possible.
Zulip thread: https://leanprover.zulipchat.com/#narrow/channel/116395-maths/topic/Ring.20orderings.20-.20structure.20or.20predicate.3F/with/562594050
See #37298 for the analogous change to group and ring cones.
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[](https://gitpod.io/from-referrer/)
|
t-algebra
large-import
label:t-algebra$ |
455/87 |
Mathlib.lean,Mathlib/Algebra/Order/Ring/Ordering/Basic.lean,Mathlib/Algebra/Order/Ring/Ordering/Defs.lean,Mathlib/Algebra/Ring/Subsemiring/Support.lean |
4 |
14 |
['artie2000', 'chrisflav', 'github-actions', 'mathlib-merge-conflicts'] |
YaelDillies assignee:YaelDillies |
0-3453 57 minutes ago |
36-17037 36 days ago |
78-57760 78 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 |
306/0 |
Mathlib.lean,Mathlib/NumberTheory/Padics/Measure/Basic.lean,Mathlib/NumberTheory/Padics/Measure/Topology.lean |
3 |
12 |
['github-actions', 'j-loreaux', 'loefflerd', 'mathlib-dependent-issues', 'mcdoll'] |
j-loreaux assignee:j-loreaux |
0-3452 57 minutes ago |
22-45314 22 days ago |
37-45624 37 days |
| 38214 |
emlis42 author:emlis42 |
feat(Algebra/ContinuedFractions): add Euler's continued fraction |
This PR formalizes Euler’s continued fractions by providing `Euler` which construct one by giving head term and coefficients with some basic property.
We also introduce a transformation `GenContFract.toEuler` that maps a generalized continued fraction `g : GenContFract K` to an equivalent Euler-form continued fraction. |
new-contributor
t-algebra
label:t-algebra$ |
262/0 |
Mathlib.lean,Mathlib/Algebra/ContinuedFractions/Euler.lean |
2 |
15 |
['github-actions', 'mathlib-bors', 'wwylele'] |
YaelDillies assignee:YaelDillies |
0-3451 57 minutes ago |
54-32188 54 days ago |
54-35431 54 days |
| 38369 |
quantumsnow author:quantumsnow |
feat(AlgebraicTopology): Eilenberg Steenrod axioms |
This introduces the Eilenberg-Steenrod axioms for a homology theory.
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[](https://gitpod.io/from-referrer/)
|
new-contributor
t-algebraic-topology
large-import
|
304/5 |
Mathlib/AlgebraicTopology/EilenbergSteenrod.lean,Mathlib/Topology/Category/TopCat/Basic.lean,Mathlib/Topology/Category/TopPair.lean |
3 |
42 |
['chrisflav', 'github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'quantumsnow'] |
dagurtomas assignee:dagurtomas |
0-3450 57 minutes ago |
10-46513 10 days ago |
14-3922 14 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 |
17/0 |
Mathlib/Combinatorics/SimpleGraph/Girth.lean |
1 |
6 |
['SnirBroshi', 'github-actions', 'mathlib-merge-conflicts', 'vlad902'] |
YaelDillies assignee:YaelDillies |
0-3449 57 minutes ago |
10-11016 10 days ago |
50-41804 50 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 |
75/10 |
Mathlib/Combinatorics/SimpleGraph/Basic.lean,Mathlib/Combinatorics/SimpleGraph/Connectivity/Connected.lean,Mathlib/Combinatorics/SimpleGraph/Finite.lean,Mathlib/Combinatorics/SimpleGraph/Tutte.lean,Mathlib/Combinatorics/SimpleGraph/UniversalVerts.lean |
5 |
17 |
['8e7', 'Rida-Hamadani', 'SnirBroshi', 'github-actions', 'mathlib-merge-conflicts', 'vlad902'] |
YaelDillies assignee:YaelDillies |
0-3449 57 minutes ago |
1-70901 1 day ago |
49-39764 49 days |
| 38840 |
peabrainiac author:peabrainiac |
feat(Topology): continuous germs of maps |
Add a predicate `Filter.Germ.Continuous` for continuity of germs between topological spaces, and bundled types `ContinuousGerm x Y` / `PointedContinuousGerm x y` of continuous germs at `x` resp. continuous germs at `x` taking `x` to `y`.
---
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See also #10977, which tried to introduce smooth germs between manifolds a while ago, though with a focus on pointwise algebraic operations instead of composability.
[](https://gitpod.io/from-referrer/)
|
t-topology |
171/1 |
Mathlib.lean,Mathlib/Topology/ContinuousGerm.lean,Mathlib/Topology/ContinuousOn.lean,Mathlib/Topology/Germ.lean |
4 |
6 |
['chrisflav', 'github-actions', 'j-loreaux', 'mathlib-merge-conflicts', 'peabrainiac'] |
fpvandoorn assignee:fpvandoorn |
0-3448 57 minutes ago |
29-7302 29 days ago |
41-41559 41 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 |
0-3447 57 minutes ago |
42-12858 42 days ago |
42-12349 42 days |
| 39445 |
justus-springer author:justus-springer |
feat(AlgebraicGeometry/Birational): composition of rational maps |
Define composition of partial and rational maps.
- [x] depends on: #39442
- [x] depends on: #39443
- [x] depends on: #39317
- [x] depends on: #40189
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|
t-algebraic-geometry |
278/14 |
Mathlib.lean,Mathlib/AlgebraicGeometry/Birational/Composition.lean,Mathlib/AlgebraicGeometry/Birational/Dominant.lean,Mathlib/AlgebraicGeometry/Birational/RationalMap.lean,Mathlib/AlgebraicGeometry/OpenImmersion.lean |
5 |
9 |
['chrisflav', 'github-actions', 'justus-springer', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
dagurtomas assignee:dagurtomas |
0-3446 57 minutes ago |
12-46282 12 days ago |
12-47000 12 days |
| 39574 |
FordUniver author:FordUniver |
feat(Analysis/Calculus/LipschitzSmooth): add `LipschitzSmoothWith` and `CocoerciveWith` |
Introduces `LipschitzSmoothWith K f` on a normed real vector space and `CocoerciveWith K f` on a Hilbert space. `LipschitzSmoothWith` is opaque with characterisations in four derivative-flavoured forms (directional, Fréchet, 1D, gradient) under appropriate differentiability hypotheses, plus descent-inequality extractors and variance bounds; `CocoerciveWith` is an `abbrev` with the elementary direction `K`-cocoercive ⟹ `K`-Lipschitz gradient.
Co-authored-by: Sebastian Pokutta <23001135+pokutta@users.noreply.github.com>
---
The `lineDeriv` form is the internal canonical form because it does not presuppose Fréchet differentiability; the `@[expose]` annotation is deliberately omitted so that downstream code reaches the predicate through the named iff/extractor API rather than direct destruction, treating the choice as an implementation detail. The `K / 2` convention is chosen so that the descent lemma is constant-preserving: a function with `K`-Lipschitz Fréchet derivative is exactly `K`-smooth in this sense.
This PR is intentionally minimal and contains only the definition and some basic `rw` and `apply` lemmas. I have some follow up PRs planned (not fully polished yet) that establish the usual implications plus pre-requisites:
1. **Descent lemma.** Derives `LipschitzSmoothWith K f` from `LipschitzWith K (fderiv ℝ f)` (and its 1D / gradient variants) under `Differentiable ℝ f`, via segment-level FTC. [diff](https://github.com/FordUniver/mathlib4/compare/diffbase/lipschitzSmooth-descent...feat/lipschitzSmooth-descent)
2. **First-order convex inequalities.** Adds `ConvexOn.add_{lineDeriv,fderiv,gradient,deriv}_le` (and strict variants + concave duals) — the tangent-line-lower-bound characterisations of `ConvexOn`. [diff](https://github.com/FordUniver/mathlib4/compare/diffbase/convex-first-order-inequalities...feat/convex-first-order-inequalities)
3. **Baillon-Haddad theorem and convex equivalences.** Under `ConvexOn ℝ Set.univ f` + `Differentiable ℝ f`, `LipschitzSmoothWith K f → CocoerciveWith K f`, closing the four-way equivalence with `LipschitzWith K (fderiv ℝ f)` and `LipschitzWith K (∇ f)`. [diff](https://github.com/FordUniver/mathlib4/compare/diffbase/lipschitzSmooth-convex...feat/lipschitzSmooth-convex)
4. **Continuity and the `K = 0` boundary case.** A continuity statement `LipschitzSmoothWith K f → Continuous f` (non-trivial in the general non-differentiable case), and the characterisation `LipschitzSmoothWith 0 f ↔ ConcaveOn ℝ Set.univ f` under differentiability.
5. **Algebraic preservation lemmas.** `LipschitzSmoothWith` closed under `+` (with `K₁ + K₂`), `c •` for `c ≥ 0` (with `c · K`), composition with affine maps (with `‖A.linear‖² · K`). [diff](https://github.com/FordUniver/mathlib4/compare/feat/lipschitzSmooth-basic...feat/lipschitzSmooth-algebra)
Beyond those, larger-picture generalisations remain open: a set-restricted version `LipschitzSmoothOnWith K f s` (with `s` a convex subset, parallel to the standard pattern for `ConvexOn`, `LipschitzOn`, etc.), and possibly broadening the base field / target away from `ℝ` (e.g. complex Hilbert spaces; vector-valued targets would require a different right-hand side and likely a separate predicate).
The only unmerged upstream dependency is #39203, needed for the gradient-form characterisations. The base definition and the directional / Fréchet / 1D characterisations are independent of any unmerged work.
- [x] depends on: #39203
- [x] depends on: #14502
Diff for the changes *just* in this PR over its predecessor: [link](https://github.com/FordUniver/mathlib4/compare/refactor/gradient-ungate-inner-lemmas...feat/lipschitzSmooth-basic) |
t-analysis |
344/10 |
Mathlib.lean,Mathlib/Analysis/Calculus/Gradient/Basic.lean,Mathlib/Analysis/Calculus/LipschitzSmooth/Basic.lean,Mathlib/Analysis/Calculus/LipschitzSmooth/Deriv.lean,Mathlib/Analysis/Calculus/LipschitzSmooth/FDeriv.lean,Mathlib/Analysis/Calculus/LipschitzSmooth/Gradient.lean |
6 |
4 |
['FordUniver', 'Komyyy', 'github-actions', 'mathlib-dependent-issues'] |
j-loreaux assignee:j-loreaux |
0-3445 57 minutes ago |
15-16316 15 days ago |
15-21801 15 days |
| 39833 |
wwylele author:wwylele |
feat(Analysis/Meromorphic): const_smul lemma |
This allows more general scalar type than the existing `smul` ones
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[](https://gitpod.io/from-referrer/)
|
t-analysis |
14/0 |
Mathlib/Analysis/Meromorphic/Basic.lean |
1 |
5 |
['JonBannon', 'github-actions', 'themathqueen', 'wwylele'] |
j-loreaux assignee:j-loreaux |
0-3444 57 minutes ago |
18-27308 18 days ago |
22-38453 22 days |
| 40071 |
yuanyi-350 author:yuanyi-350 |
refactor(Analysis): golf `Mathlib/Analysis/Convex/BetweenList` |
- rewrites `SortedLE.wbtw` using `triplewise_iff_getElem` and sorted getElem inequalities instead of nested list induction
Extracted from #37968
[](https://gitpod.io/from-referrer/) |
codex
t-analysis
LLM-generated
|
3/14 |
Mathlib/Analysis/Convex/BetweenList.lean |
1 |
3 |
['github-actions', 'themathqueen', 'yuanyi-350'] |
j-loreaux assignee:j-loreaux |
0-3443 57 minutes ago |
16-67770 16 days ago |
16-67261 16 days |
| 40080 |
wwylele author:wwylele |
feat(Analysis/Meromorphic): meromorphicOrderAt of derivative |
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[](https://gitpod.io/from-referrer/)
|
t-analysis |
34/0 |
Mathlib/Analysis/Meromorphic/Order.lean |
1 |
5 |
['copilot-pull-request-reviewer', 'github-actions'] |
j-loreaux assignee:j-loreaux |
0-3442 57 minutes ago |
16-44355 16 days ago |
16-43846 16 days |
| 40135 |
kim-em author:kim-em |
feat(Topology/Covering): introduce Deck transformation group |
This PR introduces `Deck p`, the subgroup of `E ≃ₜ E` consisting of self-homeomorphisms commuting with a map `p : E → X`. The definition is stated for an arbitrary `p` so the basic group structure and canonical action are available without a covering-map hypothesis; covering-specific theorems (lifting characterisation, the iso with `π₁(X)/p_*π₁(E)`) belong to follow-up files.
The upstream additions in `Topology/Algebra/ConstMulAction.lean` add the tautological action `MulAction (X ≃ₜ X) X`, its faithfulness, and the matching `ContinuousConstSMul` instance. These parallel `Equiv.Perm.applyMulAction` and unlock the subgroup-action transfers that automatically give `Deck p` its `Group`, `MulAction E`, `FaithfulSMul E`, and `ContinuousConstSMul E` instances.
🤖 Prepared with [Claude Code](https://claude.com/claude-code) |
t-topology |
87/0 |
Mathlib.lean,Mathlib/Topology/Algebra/ConstMulAction.lean,Mathlib/Topology/Covering/Deck.lean |
3 |
4 |
['github-actions', 'ocfnash', 'vihdzp'] |
j-loreaux assignee:j-loreaux |
0-3441 57 minutes ago |
15-1116 15 days ago |
15-1541 15 days |
| 40303 |
MichaelStollBayreuth author:MichaelStollBayreuth |
feat(AlgebraicGeometry/EllipticCurve/Affine): more on `xRep` |
This PR adds explicit formulas for `xRep` of a sum of two (affine) points on a Weierstrass curve.
This will be needed on the way to the Mordell-Weil Theorem for elliptic curves.
---
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|
t-algebraic-geometry |
120/0 |
Mathlib/AlgebraicGeometry/EllipticCurve/Affine/Formula.lean,Mathlib/AlgebraicGeometry/EllipticCurve/Affine/Point.lean |
2 |
1 |
['github-actions'] |
dagurtomas assignee:dagurtomas |
0-3440 57 minutes ago |
10-24105 10 days ago |
10-23596 10 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 |
0-3438 57 minutes ago |
6-49124 6 days ago |
6-75813 6 days |
| 40555 |
riccardobrasca author:riccardobrasca |
feat: add lemmas about primitive roots |
---
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|
t-ring-theory |
29/0 |
Mathlib/NumberTheory/NumberField/Units/Basic.lean,Mathlib/RingTheory/RootsOfUnity/CyclotomicUnits.lean,Mathlib/RingTheory/RootsOfUnity/PrimitiveRoots.lean |
3 |
3 |
['github-actions', 'riccardobrasca', 'tb65536'] |
chrisflav assignee:chrisflav |
0-3437 57 minutes ago |
4-32994 4 days ago |
4-32485 4 days |
| 40574 |
MichaelStollBayreuth author:MichaelStollBayreuth |
feat(AlgebraicGeometry/EllipticCurve/Affine/AddSubMap): sym2x + API |
This continues the development toward the approximate parallelogram law on an elliptic curve.
It introduces `WeierstrassCurve.Affine.Point.symx`, which represents the symmetric square of the `x`-coordinate map. The proof of the approximate parallelogram law is based on a commutative square relating `WeierstrassCurve.addSubMap` to `WeierstrassCurve.Affine.Point.symx`.
---
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|
t-algebraic-geometry
large-import
|
59/2 |
Mathlib/AlgebraicGeometry/EllipticCurve/Affine/AddSubMap.lean |
1 |
2 |
['MichaelStollBayreuth', 'github-actions'] |
dagurtomas assignee:dagurtomas |
0-3436 57 minutes ago |
3-33805 3 days ago |
3-33296 3 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'] |
dagurtomas assignee:dagurtomas |
0-3436 57 minutes ago |
1-77705 1 day ago |
1-77382 1 day |
| 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 |
0-3435 57 minutes ago |
0-86297 23 hours ago |
0-85809 23 hours |
| 40654 |
teorth author:teorth |
feat(NumberTheory/PrimeCounting): primesBelow/primesLE as filters of … |
…Ioo/Ioc
---
Added some minor variants of existing `primesBelow_eq_filter_Ico_one` type API to also handle `Ioo` and `Ioc` type intervals. This will be needed in a subsequent PR establishing Mertens' theorems.
[](https://gitpod.io/from-referrer/)
|
t-number-theory
new-contributor
|
16/0 |
Mathlib/NumberTheory/PrimeCounting.lean |
1 |
2 |
['github-actions'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
0-3434 57 minutes ago |
0-84244 23 hours ago |
0-83735 23 hours |
| 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 |
184/20 |
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 |
38 |
['SnirBroshi', 'github-actions', 'grunweg', 'joneugster', 'kim-em', 'leanprover-radar', 'mathlib-dependent-issues', 'thorimur'] |
joneugster and thorimur assignee:joneugster assignee:thorimur |
0-2700 45 minutes ago |
7-63743 7 days ago |
9-53698 9 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'] |
nobody |
0-2112 35 minutes ago |
0-2945 40 minutes ago |
0-2436 40 minutes |
| 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 |
36/7 |
Mathlib/Topology/Order/OrderClosed.lean |
1 |
3 |
['CoolRmal', 'github-actions', 'j-loreaux'] |
nobody |
0-1890 31 minutes ago |
0-1890 23 minutes ago |
5-3163 5 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. |
|
277/0 |
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 |
0-1851 30 minutes ago |
0-17302 4 hours ago |
0-16793 4 hours |
| 40665 |
Yu-Misaka author:Yu-Misaka |
feat(RepresentationTheory/FinGroupCharZero): the character values of a finite group are algebraic integers |
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$ |
19/3 |
Mathlib/RepresentationTheory/Character.lean |
1 |
4 |
['Yu-Misaka', 'bwangpj', 'github-actions'] |
nobody |
0-666 11 minutes ago |
0-55960 15 hours ago |
0-55451 15 hours |