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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 |
93-10222 3 months ago |
76-57231 76 days ago |
109-11663 109 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 |
58-57675 1 month ago |
58-57639 58 days ago |
73-78196 73 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 |
17/9 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean |
1 |
1 |
['github-actions'] |
nobody |
49-42790 1 month ago |
49-42860 49 days ago |
49-42854 49 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 |
42-34600 1 month ago |
54-10702 54 days ago |
54-11222 54 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 |
41-64677 1 month ago |
41-64739 41 days ago |
52-66389 52 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 |
40-84085 1 month ago |
41-54313 41 days ago |
41-54307 41 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 |
40-75319 1 month ago |
40-85469 40 days ago |
40-85463 40 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 |
39-69432 1 month ago |
39-69472 39 days ago |
79-64816 79 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 |
39-18660 1 month ago |
39-18660 39 days ago |
46-16175 46 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 |
38-9171 1 month ago |
38-45300 38 days ago |
38-45294 38 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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[Zulip](https://leanprover.zulipchat.com/#narrow/channel/113488-general/topic/Any.20infimum.20based.20version.20of.20.60OmegaCompletePartialOrder.60.3F)
[](https://gitpod.io/from-referrer/)
|
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 |
35-73906 1 month ago |
35-73945 35 days ago |
41-18247 41 days |
| 38855 |
SnirBroshi author:SnirBroshi |
feat(Order/ConditionallyCompleteLattice/Indexed): `≤` version of `ciSup_or'` for `ConditionallyCompleteLattice` |
Deprime `ciSup_or'` because there's no `ciSup_or`, and add a `≤` version (and dual) for `ConditionallyCompleteLattice`.
Only `≤` because equality does not hold when `p ≠ q` without `sSup ∅ = ⊥`.
---
`ciSup_or'` can't have a dual because there's no dual to `ConditionallyCompleteLinearOrderBot`.
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|
t-order |
8/1 |
Mathlib/Order/ConditionallyCompleteLattice/Indexed.lean |
1 |
1 |
['github-actions'] |
nobody |
34-70947 1 month ago |
42-5755 42 days ago |
42-5749 42 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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[](https://gitpod.io/from-referrer/)
|
t-logic |
13/0 |
Mathlib/Logic/Function/Defs.lean |
1 |
6 |
['github-actions', 'linesthatinterlace', 'plp127'] |
nobody |
32-54164 1 month ago |
33-55663 33 days ago |
33-55657 33 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 |
32-18527 1 month ago |
33-6763 33 days ago |
33-6757 33 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 |
31-42347 1 month ago |
31-42426 31 days ago |
31-42910 31 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 |
31-13818 1 month ago |
37-64796 37 days ago |
63-44646 63 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 |
2 |
['github-actions'] |
nobody |
31-8370 1 month ago |
31-11062 31 days ago |
31-11056 31 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 |
30-41081 30 days ago |
30-43171 30 days ago |
30-43165 30 days |
| 39392 |
jayscambler author:jayscambler |
feat(Cryptography): one-time pad and Shannon perfect secrecy |
Adds `Mathlib/Cryptography/OTP.lean`. One-time pad over an arbitrary
finite abelian group `G`:
- `OTP.encrypt k m := m + k`, `OTP.decrypt k c := c - k`.
- `OTP.correct`: `decrypt k (encrypt k m) = m`, by `abel`.
- `OTP.perfect_secrecy`: for any `m₀, m₁`, the distributions of
`encrypt k m₀` and `encrypt k m₁` over uniform `k` are equal;
both reduce to `PMF.uniformOfFintype G`. Proof goes via
`Equiv.addLeft`.
Independent of the Schnorr PR (#39279); no shared definitions. Unlike
everything else likely to live under `Mathlib/Cryptography/`, the
security guarantee here is information-theoretic, not computational.
**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
|
76/0 |
Mathlib.lean,Mathlib/Cryptography/OTP.lean |
2 |
3 |
['MrBrain295', 'github-actions'] |
nobody |
30-4899 30 days ago |
30-27373 30 days ago |
30-27367 30 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 |
29-7305 29 days ago |
29-7377 29 days ago |
29-15967 29 days |
| 39368 |
gasparattila author:gasparattila |
feat: homogenization of an affine space |
---
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|
t-algebra label:t-algebra$ |
401/0 |
Mathlib.lean,Mathlib/LinearAlgebra/AffineSpace/Homogenization.lean,docs/references.bib |
3 |
15 |
['eric-wieser', 'gasparattila', 'github-actions'] |
nobody |
28-51904 28 days ago |
30-43410 30 days ago |
30-44606 30 days |
| 39549 |
Hagb author:Hagb |
feat(Order/RelIso/Basic): `swap`s and `compl`s are `Equiv`s |
---
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[](https://gitpod.io/from-referrer/)
|
t-order |
13/8 |
Mathlib/Order/RelIso/Basic.lean |
1 |
3 |
['Hagb', 'github-actions', 'leanprover-radar'] |
nobody |
26-25702 26 days ago |
26-28143 26 days ago |
26-28137 26 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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[](https://gitpod.io/from-referrer/)
|
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 |
26-10229 26 days ago |
71-66014 71 days ago |
129-49475 129 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 |
26-10228 26 days ago |
151-27336 151 days ago |
151-27330 151 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 |
25-48286 25 days ago |
25-48351 25 days ago |
35-22258 35 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 |
25-1906 25 days ago |
26-28564 26 days ago |
26-28558 26 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 |
24-59735 24 days ago |
24-59818 24 days ago |
24-59812 24 days |
| 39225 |
junodeveloper author:junodeveloper |
feat(SimpleGraph): add no-bridge theorem for even degree graphs |
This PR proves that a finite graph in which every vertex has even degree has no bridge.
It adds:
* `SimpleGraph.not_isBridge_of_even_degree`
The proof argues by contradiction: if an edge is a bridge, delete it and look at the connected component containing one endpoint. In that component, the endpoint has odd degree, while any other odd-degree vertex would contradict the bridge assumption and the even-degree hypothesis. This contradicts the handshaking lemma via the existing odd-degree API.
Local checks:
```bash
lake build Mathlib.Combinatorics.SimpleGraph.Connectivity.EdgeConnectivity
lake exe lint-style Mathlib.Combinatorics.SimpleGraph.Connectivity.EdgeConnectivity
lake exe runLinter Mathlib.Combinatorics.SimpleGraph.Connectivity.EdgeConnectivity
```
## AI usage disclosure
I used OpenClaw/Codex while developing this PR. Much of the Lean proof of `not_isBridge_of_even_degree` was drafted with AI assistance, including API search and proof refactoring. I reviewed the generated code, made edits, ran the local checks above, and understand and take responsibility for the final statement and proof. |
t-combinatorics
new-contributor
large-import
LLM-generated
|
122/0 |
Mathlib/Combinatorics/SimpleGraph/Connectivity/EdgeConnectivity.lean |
1 |
12 |
['Rida-Hamadani', 'SnirBroshi', 'github-actions', 'junodeveloper', 'linesthatinterlace'] |
nobody |
24-49448 24 days ago |
33-19023 33 days ago |
33-19017 33 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 |
24-48718 24 days ago |
24-61271 24 days ago |
24-62895 24 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 |
24-38895 24 days ago |
24-39489 24 days ago |
24-39483 24 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 |
24-38877 24 days ago |
24-39272 24 days ago |
24-39266 24 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 |
24-10227 24 days ago |
55-49778 55 days ago |
100-56755 100 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 |
24-8681 24 days ago |
24-8762 24 days ago |
24-8756 24 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 2 renames marked:
```
IsTrail.of_map : (p.map f).IsTrail → p.IsTrail -- new
map_isTrail_iff_of_injective : f.Injective → (p.map f).IsTrail ↔ p.IsTrail
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
map_isPath_iff_of_injective : f.Injective → (p.map f).IsPath ↔ p.IsPath
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
map_isCircuit_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
map_isCycle_iff_of_injective : f.Injective → (p.map f).IsCycle ↔ p.IsCycle
IsCycle.map : f.Injective → p.IsCycle → (p.map f).IsCycle
mapLe_isTrail : G ≤ G' → (p.mapLe h).IsTrail ↔ p.IsTrail
IsTrail.of_mapLe : G ≤ G' → (p.mapLe h).IsTrail → p.IsTrail
IsTrail.mapLe : G ≤ G' → p.IsTrail → (p.mapLe h).IsTrail
mapLe_isPath : G ≤ G' → (p.mapLe h).IsPath ↔ p.IsPath
IsPath.of_mapLe : G ≤ G' → (p.mapLe h).IsPath → p.IsPath
IsPath.mapLe : G ≤ G' → p.IsPath → (p.mapLe h).IsPath
mapLe_isCircuit : 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
mapLe_isCycle : G ≤ G' → (p.mapLe h).IsCycle ↔ p.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 |
47/30 |
Mathlib/Combinatorics/SimpleGraph/Paths.lean |
1 |
1 |
['github-actions'] |
nobody |
23-54914 23 days ago |
49-25528 49 days ago |
49-25522 49 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 |
23-53029 23 days ago |
23-57499 23 days ago |
24-18803 24 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
|
37/0 |
Mathlib/ModelTheory/Semantics.lean,Mathlib/ModelTheory/Syntax.lean |
2 |
2 |
['github-actions'] |
nobody |
23-10226 23 days ago |
90-80847 90 days ago |
90-80841 90 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 |
22-69511 22 days ago |
22-69588 22 days ago |
22-79234 22 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 |
22-65020 22 days ago |
22-65089 22 days ago |
22-65683 22 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 |
22-10229 22 days ago |
108-36084 108 days ago |
110-70364 110 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 |
22-1389 22 days ago |
22-1464 22 days ago |
22-1458 22 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 |
21-71144 21 days ago |
25-48763 25 days ago |
26-4612 26 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 |
21-60512 21 days ago |
21-60512 21 days ago |
26-28956 26 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 |
21-30904 21 days ago |
21-30937 21 days ago |
22-50288 22 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 |
20-86328 20 days ago |
21-8 21 days ago |
21-2 21 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 |
20-69519 20 days ago |
20-69601 20 days ago |
20-69595 20 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 |
20-41058 20 days ago |
20-41126 20 days ago |
20-41419 20 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 |
20-7732 20 days ago |
20-8001 20 days ago |
20-7995 20 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 |
19-80623 19 days ago |
20-35895 20 days ago |
20-35889 20 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 |
19-68551 19 days ago |
19-81971 19 days ago |
19-81965 19 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 |
19-68023 19 days ago |
19-69687 19 days ago |
24-33580 24 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 |
19-53585 19 days ago |
19-54816 19 days ago |
19-54810 19 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 |
19-50738 19 days ago |
19-50813 19 days ago |
19-53052 19 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 |
11 |
['github-actions', 'j-loreaux', 'loefflerd', 'mathlib-dependent-issues'] |
PatrickMassot assignee:PatrickMassot |
19-49871 19 days ago |
19-49871 19 days ago |
34-50684 34 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 |
19-48770 19 days ago |
22-2944 22 days ago |
22-2938 22 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 |
19-46577 19 days ago |
19-46635 19 days ago |
19-46656 19 days |
| 39747 |
vihdzp author:vihdzp |
feat: intervals `Ici`/`Ioi` are cofinal/closed under directed suprema |
---
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|
t-order |
67/11 |
Mathlib/Order/Cofinal.lean,Mathlib/Order/DirSupClosed.lean,Mathlib/Order/Interval/Set/Basic.lean,Mathlib/Order/UpperLower/Basic.lean,Mathlib/Topology/Order/ScottTopology.lean |
5 |
16 |
['YaelDillies', 'b-mehta', 'github-actions', 'vihdzp'] |
nobody |
19-22402 19 days ago |
20-45228 20 days ago |
21-23192 21 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'] |
jsm28 assignee:jsm28 |
19-8892 19 days ago |
19-73496 19 days ago |
19-74167 19 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 |
19-2211 19 days ago |
21-29420 21 days ago |
22-26989 22 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 |
18-65052 18 days ago |
22-60763 22 days ago |
22-60757 22 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 |
18-51110 18 days ago |
18-51151 18 days ago |
34-44902 34 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 |
18-45727 18 days ago |
18-45804 18 days ago |
80-83913 80 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 |
18-32589 18 days ago |
18-32597 18 days ago |
18-35480 18 days |
| 39110 |
SnirBroshi author:SnirBroshi |
chore(Data/Set): reduce defeq abuse of `Set α = α → Prop` |
These are among the first places that would fail if `Set α` wasn't defeq to `α → Prop`.
---
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t-data |
35/20 |
Mathlib/Data/Set/Basic.lean,Mathlib/Data/Set/Defs.lean,Mathlib/Data/Set/Insert.lean,Mathlib/Data/Set/Prod.lean,Mathlib/Order/BooleanAlgebra/Set.lean |
5 |
24 |
['SnirBroshi', 'Vierkantor', 'github-actions', 'leanprover-radar', 'mathlib-bors', 'themathqueen', 'urkud', 'vihdzp'] |
urkud assignee:urkud |
18-31018 18 days ago |
28-65261 28 days ago |
34-66655 34 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 |
18-10053 18 days ago |
61-45131 61 days ago |
62-21019 62 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 |
17-43269 17 days ago |
17-44614 17 days ago |
17-44608 17 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 |
17-41281 17 days ago |
17-83591 17 days ago |
17-83585 17 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 |
17-25971 17 days ago |
18-69678 18 days ago |
18-69672 18 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 |
17-22575 17 days ago |
17-22710 17 days ago |
18-63654 18 days |
| 38231 |
NoneMore author:NoneMore |
feat(ModelTheory/Definablity): add syntax-to-definability bridge lemmas |
Add bridge lemmas from syntax to definability and refactor downstream proofs to use them.
---
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t-logic |
88/56 |
Mathlib/ModelTheory/Definability.lean,Mathlib/ModelTheory/ElementarySubstructures.lean |
2 |
1 |
['github-actions'] |
nobody |
17-10230 17 days ago |
55-81314 55 days ago |
55-81308 55 days |
| 38815 |
dagurtomas author:dagurtomas |
feat(Tactic/CategoryTheory): extend `@[to_app]` to natural transformations |
This extends the `@[to_app]` attribute so it also generates componentwise lemmas from equalities of natural transformations between functors, while preserving the existing bicategory behavior. It also ensures generated component lemmas remain usable by dsimp when they are definitionally true. |
t-category-theory
LLM-generated
t-meta
|
148/22 |
Mathlib/Tactic/CategoryTheory/ToApp.lean,Mathlib/Util/AddRelatedDecl.lean,MathlibTest/CategoryTheory/ToApp.lean |
3 |
1 |
['github-actions'] |
nobody |
17-10226 17 days ago |
43-35729 43 days ago |
43-35777 43 days |
| 32282 |
jsm28 author:jsm28 |
feat(Geometry/Euclidean/Angle/Incenter): unoriented angle bisection |
Add lemmas giving unoriented angles involving the incenter and excenters of a triangle as expressions involving dividing angles of the triangle by 2, deduced from oriented bisection lemmas.
---
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|
t-euclidean-geometry |
98/0 |
Mathlib/Geometry/Euclidean/Angle/Incenter.lean |
1 |
8 |
['github-actions', 'jsm28', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'wwylele'] |
eric-wieser assignee:eric-wieser |
17-9088 17 days ago |
78-34182 78 days ago |
78-34912 78 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 |
17-9086 17 days ago |
43-69204 43 days ago |
49-46664 49 days |
| 38432 |
SnirBroshi author:SnirBroshi |
feat(Logic/Relation): `Map r f g ≤ s ↔ r ≤ s.bicompl f g` |
and the dual `s ≤ Relation.Map r f g ↔ s.bicompl f g ≤ r` which requires `f` and `g` to be bijective.
Adds `Galois{Connection/Insertion/Coinsertion}` for the dual.
The theorems are specialized to `onFun` instead of `bicompl` for when `f = g`.
The `≤` theorems are spelled using `Subrelation` since `≤` is not yet available in this file, and `∀` for the `bicompl` theorems since `Subrelation` only supports homogeneous relations.
A `GaloisConnection` for the iff in the title requires `f`/`g` to be bijective, but then we can get an `OrderIso` which is stronger (see #38499).
---
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|
t-logic |
119/28 |
Mathlib/Logic/Relation.lean,Mathlib/Order/GaloisConnection/Basic.lean |
2 |
3 |
['SnirBroshi', 'github-actions', 'plp127'] |
fpvandoorn assignee:fpvandoorn |
17-9076 17 days ago |
49-82741 49 days ago |
51-17757 51 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 |
17-9071 17 days ago |
22-57201 22 days ago |
0-6372 1 hour |
| 37374 |
NoneMore author:NoneMore |
feat(Topology/DerivedSet): add relative derived set lemmas |
Add `relDerivedSet`, `relDerivedSet_subset`, and `IsClosed.relDerivedSet_eq`.
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t-topology
new-contributor
|
17/0 |
Mathlib/Topology/DerivedSet.lean |
1 |
7 |
['NoneMore', 'github-actions', 'plp127', 'vihdzp'] |
fpvandoorn assignee:fpvandoorn |
16-76186 16 days ago |
16-76254 16 days ago |
74-40953 74 days |
| 38052 |
WenrongZou author:WenrongZou |
feat(FormalGroup): `F(X,0)=X` and `F(0,X)=X` |
In this PR, I prove that given a formal group law `F`, then `F(X,0) = X` and `F(0,X) = X`. And modify the definition of `FormalGroup.Point` to be a subtype. And prove that this subtype is a `AddZeroClass`. Eventually we will prove that this is a `AddGroup`.
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|
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 |
16-68262 16 days ago |
16-68303 16 days ago |
59-79314 59 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 |
16-64179 16 days ago |
16-64179 16 days ago |
29-53479 29 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 |
16-61761 16 days ago |
17-10844 17 days ago |
17-10859 17 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 |
16-59493 16 days ago |
33-47774 33 days ago |
33-47932 33 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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[](https://gitpod.io/from-referrer/)
|
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 |
16-48953 16 days ago |
16-48953 16 days ago |
16-49032 16 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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[](https://gitpod.io/from-referrer/)
|
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 |
16-42570 16 days ago |
16-78258 16 days ago |
79-42231 79 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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[](https://gitpod.io/from-referrer/)
|
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 |
16-25394 16 days ago |
19-34024 19 days ago |
19-34260 19 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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- [ ] depends on: #30981
- [ ] depends on: #30982
- [ ] depends on: #32019
- [ ] depends on: #32021
- [ ] depends on: #32023
- [ ] depends on: #32270
- [ ] depends on: #32290
[](https://gitpod.io/from-referrer/)
|
t-euclidean-geometry |
214/0 |
Mathlib/Geometry/Euclidean/Angle/Incenter.lean |
1 |
5 |
['github-actions', 'jsm28', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot', 'peakpoint'] |
nobody |
16-17429 16 days ago |
16-17498 16 days ago |
78-34813 78 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 |
16-8648 16 days ago |
60-56988 60 days ago |
60-57135 60 days |
| 38098 |
astrainfinita author:astrainfinita |
chore: make `SMul.comp.smul` `implicit_reducible` |
---
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[](https://gitpod.io/from-referrer/)
|
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 |
16-8647 16 days ago |
58-86382 58 days ago |
58-86376 58 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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[](https://gitpod.io/from-referrer/)
|
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 |
16-8646 16 days ago |
43-47727 43 days ago |
57-35880 57 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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[](https://gitpod.io/from-referrer/)
|
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 |
16-1058 16 days ago |
16-2005 16 days ago |
60-61341 60 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 |
15-69176 15 days ago |
15-71494 15 days ago |
15-71488 15 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 |
15-66573 15 days ago |
15-66643 15 days ago |
15-67332 15 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 |
15-62506 15 days ago |
16-72506 16 days ago |
23-40248 23 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 |
15-49118 15 days ago |
17-30828 17 days ago |
17-31422 17 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 |
15-48592 15 days ago |
41-85074 41 days ago |
41-85068 41 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 |
15-43150 15 days ago |
15-43219 15 days ago |
15-43213 15 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 |
15-41341 15 days ago |
15-41427 15 days ago |
15-41421 15 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 |
15-40741 15 days ago |
15-41585 15 days ago |
15-41579 15 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 |
15-39920 15 days ago |
20-25996 20 days ago |
20-25990 20 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 |
15-35736 15 days ago |
15-35736 15 days ago |
25-84613 25 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 |
15-8889 15 days ago |
39-9859 39 days ago |
46-2445 46 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 |
15-8887 15 days ago |
37-26087 37 days ago |
45-11990 45 days |
| 39655 |
joelriou author:joelriou |
feat(CategoryTheory): the κ-accessible category of κ-directed posets |
Given a regular cardinal `κ : Cardinal.{u}`, we show that the category `CardinalFilteredPoset κ` of `κ`-directed partially ordered types (with order embeddings as morphisms) is a `κ`-accessible category.
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|
t-category-theory |
188/2 |
Mathlib/CategoryTheory/Presentable/CardinalDirectedPoset.lean |
1 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
robin-carlier assignee:robin-carlier |
15-8880 15 days ago |
15-51746 15 days ago |
15-64681 15 days |
| 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 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 |
12 |
['github-actions', 'martinwintermath', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mcdoll', 'vihdzp'] |
nobody |
14-73425 14 days ago |
14-73461 14 days ago |
25-53991 25 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 |
14-69728 14 days ago |
14-69809 14 days ago |
45-84476 45 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 |
14-66554 14 days ago |
14-66594 14 days ago |
56-35658 56 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 |
14-61127 14 days ago |
14-61163 14 days ago |
27-7019 27 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 |
29 |
['Brian-Nugent', 'dagurtomas', 'github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
robin-carlier assignee:robin-carlier |
14-30686 14 days ago |
14-30762 14 days ago |
31-57036 31 days |
| 34271 |
gasparattila author:gasparattila |
feat(Topology/Sets): second-countability of `(Nonempty)Compacts` |
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[](https://gitpod.io/from-referrer/)
|
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 |
14-8430 14 days ago |
36-26395 36 days ago |
73-35292 73 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 |
14-8426 14 days ago |
58-85977 58 days ago |
59-2101 59 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'] |
mcdoll assignee:mcdoll |
14-8425 14 days ago |
26-11859 26 days ago |
38-46619 38 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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[](https://gitpod.io/from-referrer/)
|
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 |
14-8423 14 days ago |
33-37343 33 days ago |
33-37337 33 days |
| 39720 |
vihdzp author:vihdzp |
feat: cofinality within order |
We introduce `Order.cofWithin x = Order.cof (Iio x)` for the cofinality of an element within a preorder. This generalizes `Ordinal.cof`, with the caveat that `cof o : Cardinal.{u}` for `o : Ordinal.{u}`, whereas `cofWithin o : Cardinal.{u + 1}`.
---
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[](https://gitpod.io/from-referrer/)
|
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 |
14-8421 14 days ago |
18-81818 18 days ago |
22-21281 22 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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[](https://gitpod.io/from-referrer/)
|
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'] |
thorimur assignee:thorimur |
14-8418 14 days ago |
14-43853 14 days ago |
14-43847 14 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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[](https://gitpod.io/from-referrer/)
|
t-order |
15/20 |
Mathlib/Order/CompleteLattice/Basic.lean |
1 |
4 |
['SnirBroshi', 'b-mehta', 'github-actions', 'mathlib-merge-conflicts'] |
nobody |
14-4881 14 days ago |
14-4918 14 days ago |
18-5627 18 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 |
13-82546 13 days ago |
21-11623 21 days ago |
30-19822 30 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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[](https://gitpod.io/from-referrer/)
|
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 |
13-80982 13 days ago |
21-24122 21 days ago |
21-24116 21 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'] |
nobody |
13-68513 13 days ago |
13-72327 13 days ago |
13-72321 13 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 |
13-63451 13 days ago |
17-32626 17 days ago |
47-22358 47 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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[](https://gitpod.io/from-referrer/)
|
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'] |
jcommelin assignee:jcommelin |
13-51699 13 days ago |
13-51851 13 days ago |
68-20321 68 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 |
13-47622 13 days ago |
19-27132 19 days ago |
36-27791 36 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 |
13-43464 13 days ago |
13-43566 13 days ago |
22-11932 22 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 |
13-38637 13 days ago |
15-18821 15 days ago |
15-18815 15 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 |
13-27683 13 days ago |
13-28922 13 days ago |
13-28958 13 days |
| 36376 |
jessealama author:jessealama |
feat(SimpleGraph): hamiltonian cycle from cyclic permutation |
This PR provides `IsHamiltonian.of_perm`, a bridge from `Equiv.Perm.IsCycle` to `SimpleGraph.IsHamiltonian`: if σ is a permutation that is a single cycle with full support on at least 3 elements, and each step `v → σ v` is an edge of `G`, then `G` is Hamiltonian.
### New definitions and lemmas
**`Mathlib/Data/List/Chain.lean`**:
- `IsChain.iterate`: `List.iterate f a n` is a chain under `r` whenever `r a (f a)` holds for all `a`
**`Mathlib/Data/List/Iterate.lean`**:
- `getLast_iterate`: the last element of `List.iterate f a n` is `f^[n - 1] a`
**`Mathlib/Combinatorics/SimpleGraph/Walk/Iterate.lean`** (new file):
- `Walk.iterate`: builds a walk of length `n` from `x` to `f^[n] x` for any function `f` with `G.Adj x (f x)` for all `x`, defined via `Walk.ofSupport`
- `Walk.length_iterate`, `Walk.support_iterate`, `Walk.edges_iterate`: basic API
**`Mathlib/GroupTheory/Perm/Cycle/Basic.lean`**:
- `IsCycleOn.injOn_pow_apply`: the map `n ↦ (f ^ n) a` is injective on `Finset.range #s`
**`Mathlib/GroupTheory/Perm/Cycle/Concrete.lean`**:
- `IsCycleOn.injOn_sym2_pow_apply`: the unordered-pair edge map `k ↦ s((f ^ k) a, (f ^ (k + 1)) a)` is injective on `[0, #s)` when `#s ≠ 2`
- `IsCycleOn.sym2_pow_apply_ne`: edge distinctness for cycle-on permutations — `s((f ^ k) a, (f ^ (k + 1)) a) ≠ s(a, f a)` when `k ≠ 0`, `k < #s`, and `#s ≠ 2`
- `Perm.toList_eq_range_map_pow`: expresses `toList` as a range map over powers
**`Mathlib/Combinatorics/SimpleGraph/Hamiltonian.lean`**:
- `cons_isHamiltonianCycle_iff`: a Hamiltonian path closed by an edge outside its support is a Hamiltonian cycle, and conversely
- `IsHamiltonian.of_perm`: the main theorem
---
- [x] depends on: #36307 |
t-combinatorics
maintainer-merge
|
182/0 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Hamiltonian.lean,Mathlib/Combinatorics/SimpleGraph/Hamiltonian/Perm.lean,Mathlib/Combinatorics/SimpleGraph/Walk/Iterate.lean,Mathlib/Data/List/Chain.lean,Mathlib/Data/List/Iterate.lean,Mathlib/GroupTheory/Perm/Cycle/Basic.lean,Mathlib/GroupTheory/Perm/Cycle/Concrete.lean |
8 |
78 |
['SnirBroshi', 'YaelDillies', 'github-actions', 'jessealama', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
b-mehta assignee:b-mehta |
13-8193 13 days ago |
25-76422 25 days ago |
70-9755 70 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 |
13-8183 13 days ago |
34-21658 34 days ago |
50-11697 50 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
|
54/2 |
Mathlib/Geometry/Manifold/Notation.lean,MathlibTest/DifferentialGeometry/Notation/Basic.lean |
2 |
2 |
['github-actions', 'grunweg'] |
JovanGerb assignee:JovanGerb |
13-8176 13 days ago |
13-64158 13 days ago |
13-64210 13 days |
| 40080 |
wwylele author:wwylele |
feat(Analysis/Meromorphic): meromorphicOrderAt of derivative |
---
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|
t-analysis |
34/0 |
Mathlib/Analysis/Meromorphic/Order.lean |
1 |
5 |
['copilot-pull-request-reviewer', 'github-actions'] |
nobody |
13-6191 13 days ago |
13-48912 13 days ago |
13-48906 13 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 |
12-70006 12 days ago |
16-60968 16 days ago |
17-62358 17 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 |
12-48432 12 days ago |
12-48509 12 days ago |
36-54961 36 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 |
12-23596 12 days ago |
12-35048 12 days ago |
64-37585 64 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 |
12-22711 12 days ago |
16-27846 16 days ago |
16-78154 16 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 |
12-21909 12 days ago |
18-9192 18 days ago |
18-9186 18 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'] |
nobody |
12-19569 12 days ago |
12-20873 12 days ago |
12-26861 12 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 |
12-15532 12 days ago |
15-37420 15 days ago |
15-37414 15 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 |
12-8251 12 days ago |
78-34171 78 days ago |
78-34925 78 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 |
12-8248 12 days ago |
57-24513 57 days ago |
57-24507 57 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 |
12-8247 12 days ago |
36-28406 36 days ago |
49-78516 49 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 |
11-81916 11 days ago |
14-62512 14 days ago |
14-62506 14 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'] |
nobody |
11-50064 11 days ago |
12-5673 12 days ago |
12-6601 12 days |
| 35136 |
joelriou author:joelriou |
feat(AlgebraicGeometry): points of the small étale site |
The main definition in this PR is `Scheme.pointSmallEtale`. Given a morphism `Spec (.of Ω) ⟶ S` where `Ω` is
a separably closed field, we define the corresponding point of the small étale site of `S`. We show that these points form a conservative family.
(This PR also removes the definition `Scheme.geometricFiber` which was not correct.)
Co-authored-by: Christian Merten
---
- [x] depends on: #35141
- [x] depends on: #35175
- [x] depends on: #35240
- [x] depends on: #34976
- [x] depends on: #33958
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t-algebraic-geometry
large-import
|
303/7 |
Mathlib.lean,Mathlib/AlgebraicGeometry/Fiber.lean,Mathlib/AlgebraicGeometry/Morphisms/Etale.lean,Mathlib/AlgebraicGeometry/Sites/Etale.lean,Mathlib/AlgebraicGeometry/Sites/EtalePoint.lean,Mathlib/CategoryTheory/Elements.lean,Mathlib/CategoryTheory/EssentialImage.lean,Mathlib/CategoryTheory/Limits/FinallySmall.lean,Mathlib/CategoryTheory/Limits/MorphismProperty.lean,Mathlib/CategoryTheory/MorphismProperty/Comma.lean,Mathlib/CategoryTheory/ObjectProperty/Small.lean |
11 |
6 |
['github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
11-44799 11 days ago |
12-47779 12 days ago |
21-59721 21 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'] |
alreadydone assignee:alreadydone |
11-41178 11 days ago |
51-36745 51 days ago |
51-40491 51 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 |
11-30418 11 days ago |
25-31209 25 days ago |
25-31203 25 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 |
11-27536 11 days ago |
16-49842 16 days ago |
16-49836 16 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 |
11-10226 11 days ago |
80-66398 80 days ago |
99-58353 99 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 |
11-7915 11 days ago |
46-61067 46 days ago |
63-59272 63 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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|
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'] |
themathqueen assignee:themathqueen |
11-7914 11 days ago |
33-21594 33 days ago |
75-62820 75 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 |
11-7903 11 days ago |
46-48105 46 days ago |
46-48099 46 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 |
11-7900 11 days ago |
38-48708 38 days ago |
38-48832 38 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 |
1 |
['github-actions'] |
joneugster assignee:joneugster |
11-7898 11 days ago |
35-32448 35 days ago |
35-32442 35 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 |
11-7131 11 days ago |
11-7187 11 days ago |
43-31875 43 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 |
10-83665 10 days ago |
10-83740 10 days ago |
82-49104 82 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 |
10-67770 10 days ago |
10-67852 10 days ago |
15-35088 15 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 |
10-50640 10 days ago |
19-21911 19 days ago |
19-22802 19 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 |
10-48090 10 days ago |
10-48455 10 days ago |
10-48449 10 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 |
10-45086 10 days ago |
10-50729 10 days ago |
10-56694 10 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 |
10-42420 10 days ago |
10-44860 10 days ago |
10-48708 10 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 |
10-37267 10 days ago |
10-37340 10 days ago |
12-11367 12 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 |
10-30300 10 days ago |
10-30386 10 days ago |
10-30380 10 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 |
10-10229 10 days ago |
43-20949 43 days ago |
75-70023 75 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 |
10-9541 10 days ago |
10-9582 10 days ago |
16-22892 16 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
|
38/0 |
Mathlib/Combinatorics/Enumerative/DoubleCounting.lean,Mathlib/Combinatorics/Pigeonhole.lean |
2 |
16 |
['IvanRenison', 'cjrl', 'ghseeli', 'github-actions', 'j-loreaux', 'vlad902'] |
YaelDillies assignee:YaelDillies |
10-7859 10 days ago |
62-29873 62 days ago |
78-666 78 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 |
10-7858 10 days ago |
29-60709 29 days ago |
30-34679 30 days |
| 39098 |
BoltonBailey author:BoltonBailey |
chore(Data/Vector): add `grind` to cons lemmas |
This PR affects `List.Vector.head_cons` and `List.Vector.tail_cons`. It moves the simp attribute assignment of these lemmas to the lemma declarations and also applies the `grind =` attribute.
---
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|
t-data |
2/2 |
Mathlib/Data/Vector/Basic.lean,Mathlib/Data/Vector/Defs.lean |
2 |
4 |
['BoltonBailey', 'github-actions', 'leanprover-radar'] |
joneugster assignee:joneugster |
10-7852 10 days ago |
26-12438 26 days ago |
35-26062 35 days |
| 39162 |
anovickis author:anovickis |
feat(Topology/PartitionOfUnity): add pointwise_decomposition_finsum + companions |
Add three short lemmas to `Mathlib/Topology/PartitionOfUnity.lean` extending the existing `PartitionOfUnity` API:
- `pointwise_decomposition_finsum` — for `f : X → ℝ` and `x ∈ s`, `f x = ∑ᶠ i, ρ i x · f x`. This is the pointwise step that lifts to integral linearity in measure-theoretic PoU integration: `∫_s f dμ = ∑ᶠ i, ∫_s (ρ i · f) dμ`.
- `one_minus_sum_nonneg` — `0 ≤ 1 - ∑ᶠ i, ρ i x`. Direct rearrangement of the existing `sum_le_one` field; useful as a complement-mass remainder bound in chart-by-chart estimates.
- `abs_le_one` — `|ρ i x| ≤ 1`. Combines the existing `nonneg` and `le_one`; convenience for absolute-value bounds.
All three are short proofs using existing structure fields (`sum_eq_one`, `sum_le_one`, `nonneg`, `le_one`).
These came up while writing chart-by-chart Stokes-on-manifold estimates where one wants to decompose `∫_M f` into chart-supported pieces using a partition of unity. The pointwise identity is the obvious first step; the other two are complementary algebraic bounds that show up in remainder estimates.
---
🤖 Generated with [Claude Code](https://claude.com/claude-code) |
t-topology
new-contributor
LLM-generated
|
27/0 |
Mathlib/Topology/PartitionOfUnity.lean |
1 |
2 |
['github-actions'] |
j-loreaux assignee:j-loreaux |
10-7851 10 days ago |
34-5253 34 days ago |
34-5247 34 days |
| 39366 |
akiezun author:akiezun |
feat(Data/Nat): add prime divisibility for ascFactorial and choose |
Adds two prime-divisibility lemmas for natural-number factorial/binomial APIs.
The first characterizes when a prime divides an ascending factorial:
`Nat.Prime.dvd_ascFactorial_iff`.
The second applies this to binomial coefficients:
`Nat.Prime.dvd_choose_add_sub_one_iff`, using
`Nat.ascFactorial_eq_factorial_mul_choose'` and cancellation of the `n!` factor
when `n < p`.
---
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|
t-data
new-contributor
large-import
|
46/0 |
Mathlib.lean,Mathlib/Data/Nat/Choose/Consecutive.lean,Mathlib/Data/Nat/Factorial/BigOperators.lean |
3 |
9 |
['SnirBroshi', 'akiezun', 'github-actions', 'wwylele'] |
joneugster assignee:joneugster |
10-7850 10 days ago |
26-35407 26 days ago |
30-45780 30 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 |
10-7848 10 days ago |
10-80748 10 days ago |
29-36913 29 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 |
10-7845 10 days ago |
21-32332 21 days ago |
21-32326 21 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 |
10-7840 10 days ago |
17-69729 17 days ago |
17-69829 17 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 |
10-7506 10 days ago |
10-38190 10 days ago |
10-39189 10 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 |
10-6653 10 days ago |
10-54058 10 days ago |
10-54052 10 days |
| 26212 |
Thmoas-Guan author:Thmoas-Guan |
feat(Algebra): the Rees theorem for depth |
In this PR we proved the Rees theorem for depth.
Co-authored-by: Hu Yongle <mbkybky@gmail.com>
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|
t-ring-theory |
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'] |
chrisflav assignee:chrisflav |
10-6371 10 days ago |
19-58628 19 days ago |
114-52838 114 days |
| 32058 |
Thmoas-Guan author:Thmoas-Guan |
feat(Algebra): Baer criterion for injective dimension |
In this PR, we added the cateory version of Baer criterion stating that `M` is injective iff `Ext^1(R/I, M)` vanish for all ideal `I`. By dimension shifting, we also have `M` has injective dimension not exceeding `n` iff `Ext^{n + 1}(R/I, M)` vanish for all ideal `I`.
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t-algebra
t-category-theory
label:t-algebra$ |
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 |
10-3919 10 days ago |
16-2111 16 days ago |
81-40904 81 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'] |
joneugster assignee:joneugster |
10-2404 10 days ago |
12-57538 12 days ago |
44-15577 44 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 |
9-82340 9 days ago |
9-82340 9 days ago |
10-4677 10 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 |
9-81983 9 days ago |
13-32864 13 days ago |
13-33354 13 days |
| 35255 |
vlad902 author:vlad902 |
feat(SimpleGraph): `cycleGraph` is contained in every graph with a cycle |
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|
t-combinatorics |
35/0 |
Mathlib/Combinatorics/SimpleGraph/Circulant.lean |
1 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
9-70843 9 days ago |
46-25459 46 days ago |
46-26400 46 days |
| 40144 |
astrainfinita author:astrainfinita |
perf: lower the priority of `Normed*.to*` instances |
This PR further lowers the priority of these instances, since lower instance priority usually means priority 100, whereas we want these instances to have an even lower priority.
Only one file got significantly slower from searching for AddCommMonoid ↥(Lp ?m 1 ?m') during unification. Lean tries AddSubgroupClass.toAddCommGroup and then gets stuck on the metavariables. Adding a shortcut instance for Lp resolves it directly and avoids any further search.
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|
t-analysis
t-algebra
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 |
9-65802 9 days ago |
11-67788 11 days ago |
11-67782 11 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 |
9-65332 9 days ago |
9-65408 9 days ago |
27-84145 27 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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- [ ] depends on: #xyz [optional extra text]
-->
[](https://gitpod.io/from-referrer/)
|
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 |
9-62839 9 days ago |
9-62919 9 days ago |
22-15245 22 days |
| 40218 |
mbkybky author:mbkybky |
doc(RingTheory/DedekindDomain/LinearDisjoint): fix typos in the module docstring |
Fix typos in the namespace in the module docstring.
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documentation
t-ring-theory
|
2/2 |
Mathlib/RingTheory/DedekindDomain/LinearDisjoint.lean |
1 |
1 |
['github-actions', 'xroblot'] |
nobody |
9-56626 9 days ago |
9-58018 9 days ago |
9-58012 9 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 |
9-53630 9 days ago |
9-53715 9 days ago |
9-53709 9 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'] |
nobody |
9-50839 9 days ago |
9-50839 9 days ago |
9-52060 9 days |
| 37723 |
xgenereux author:xgenereux |
feat(Adjoin/Polynomial/Transcendental): Adjoining transcendental elements |
This PR establishes some basic properties about `A[y]` when `y` is transcendental over `A`. These are mostly just carried over from `A[X]`.
- Move `algEquivOfTranscendental` in the newly created file `Mathlib.RingTheory.Adjoin.Polynomial.Transcendental`
- Add `Algebra.adjoin.evalOfTranscendental`. This is technically very similar to `Algebra.adjoin.liftSingleton` but the definition is much simpler. It is also currently more general in the sense that it doesn't require `A` to be a field.
- Some basic instances from `Polynomial`. Note that these are actually theorems because of the hypothesis `(h : Transcendental R s)` everywhere. I've also added a `Fact` version to allow the possibility of instances.
Last note : I initially considered adding some results in `RingTheory.Polynomial.Quotient` where I golfed the file a tiny bit. I removed the unused results but kept the golf.
AI disclaimer : I used Claude to give me some feedback on the PR.
Co-authored-by: María Inés de Frutos Fernández <[mariaines.dff@gmail.com](mailto:mariaines.dff@gmail.com)>
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
167/70 |
Mathlib.lean,Mathlib/FieldTheory/RatFunc/AsPolynomial.lean,Mathlib/RingTheory/Adjoin/Polynomial/Basic.lean,Mathlib/RingTheory/Adjoin/Polynomial/Bivariate.lean,Mathlib/RingTheory/Adjoin/Polynomial/Transcendental.lean,Mathlib/RingTheory/Algebraic/Basic.lean,Mathlib/RingTheory/Polynomial/Quotient.lean |
7 |
5 |
['github-actions', 'leanprover-radar', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'riccardobrasca'] |
nobody |
9-49979 9 days ago |
9-55239 9 days ago |
9-57415 9 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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- [x] depends on: #38016
- [x] depends on: #38409
[](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 |
9-49794 9 days ago |
9-49870 9 days ago |
10-46987 10 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 |
9-46072 9 days ago |
15-59889 15 days ago |
15-59962 15 days |
| 39117 |
joelriou author:joelriou |
feat(CategoryTheory): the right derived functor commutes with the shift |
A few lemmas are obtained about precomposing and postcomposing left/right Kan extensions or right/left derived functors with equivalences of categories. By applying these results to the equivalences given by shifts, we construct a family of isomorphisms which shows that the right derived functor commutes with shifts, and by proving certain compatibilities, we obtain a `Functor.CommShift` instance on the right derived functor of a functor which commutes with shifts.
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|
t-category-theory
large-import
|
417/9 |
Mathlib.lean,Mathlib/CategoryTheory/Functor/Derived/LeftDerived.lean,Mathlib/CategoryTheory/Functor/Derived/RightDerived.lean,Mathlib/CategoryTheory/Functor/Derived/RightDerivedCommShift.lean,Mathlib/CategoryTheory/Functor/KanExtension/AdjunctionPreserves.lean,Mathlib/CategoryTheory/Functor/KanExtension/Basic.lean,Mathlib/CategoryTheory/Shift/CommShift.lean,Mathlib/CategoryTheory/Shift/Localization.lean |
8 |
12 |
['dagurtomas', 'github-actions', 'joelriou', 'mathlib-merge-conflicts', 'robin-carlier'] |
robin-carlier assignee:robin-carlier |
9-43438 9 days ago |
9-44472 9 days ago |
12-46820 12 days |
| 40232 |
riccardobrasca author:riccardobrasca |
feat: add zeta_sub_one_dvd_intCast_iff and related declarations |
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[](https://gitpod.io/from-referrer/)
|
|
25/0 |
Mathlib/NumberTheory/NumberField/Cyclotomic/Ideal.lean,Mathlib/RingTheory/RootsOfUnity/CyclotomicUnits.lean |
2 |
1 |
['github-actions'] |
nobody |
9-40412 9 days ago |
9-41303 9 days ago |
9-41297 9 days |
| 40231 |
chrisflav author:chrisflav |
feat(Algebra/Category): pushforward of quasi-coherent sheafs |
We show that the pushforward of a quasi-coherent sheaf along a continuous and cocontinuous functor is quasi-coherent, if it preserves the unit.
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[](https://gitpod.io/from-referrer/)
|
t-category-theory |
122/0 |
Mathlib/Algebra/Category/ModuleCat/Sheaf/PushforwardContinuous.lean,Mathlib/Algebra/Category/ModuleCat/Sheaf/Quasicoherent.lean,Mathlib/CategoryTheory/Comma/Over/Pullback.lean,Mathlib/CategoryTheory/Sites/Continuous.lean,Mathlib/CategoryTheory/Sites/CoverLifting.lean,Mathlib/CategoryTheory/Sites/Over.lean |
6 |
1 |
['github-actions'] |
nobody |
9-34881 9 days ago |
9-36097 9 days ago |
9-37018 9 days |
| 38347 |
artie2000 author:artie2000 |
doc(LinearAlgebra/FreeModule/StrongRankCondition): clarify context of `commRing_strongRankCondition` |
* Replace mathematical documentation in `Mathlib.LinearAlgebra.FreeModule.StrongRankCondition`, with explanation that the file comprises a shortcut instance `commRing_strongRankCondition`
* Signpost `commRing_strongRankCondition` at both its parent instances
* Increase priority of shortcut instance `commRing_strongRankCondition` above that of its parent instances
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|
t-ring-theory
documentation
|
28/41 |
Mathlib/LinearAlgebra/FreeModule/StrongRankCondition.lean,Mathlib/LinearAlgebra/InvariantBasisNumber.lean,Mathlib/RingTheory/FiniteType.lean |
3 |
6 |
['artie2000', 'github-actions', 'joneugster', 'mathlib-merge-conflicts', 'riccardobrasca'] |
riccardobrasca assignee:riccardobrasca |
9-30814 9 days ago |
13-29101 13 days ago |
35-69908 35 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 |
9-29040 9 days ago |
9-29829 9 days ago |
9-31047 9 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>
Soleil Repple <repple@bc.edu>
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 |
9-26659 9 days ago |
9-27469 9 days ago |
9-27463 9 days |
| 38114 |
javgomzar author:javgomzar |
feat(FinitelyPresentedGroup): add finite groups instance |
Add IsFinitelyPresented instance for finite groups.
Co-authored-by: Hang Lu Su <homeowmorphism@pm.me>, Thomas Browning <thomas.l.browning@gmail.com>
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|
t-group-theory
new-contributor
large-import
|
31/2 |
Mathlib/GroupTheory/FinitelyPresentedGroup.lean,Mathlib/GroupTheory/FreeGroup/Basic.lean |
2 |
33 |
['github-actions', 'javgomzar', 'kbuzzard', 'mathlib-merge-conflicts', 'plp127', 'tb65536', 'vihdzp'] |
riccardobrasca assignee:riccardobrasca |
9-8508 9 days ago |
31-33993 31 days ago |
54-31724 54 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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|
new-contributor
t-combinatorics
large-import
LLM-generated
|
157/0 |
Mathlib/Combinatorics/Quiver/Schreier.lean |
1 |
2 |
['github-actions'] |
b-mehta assignee:b-mehta |
9-8505 9 days ago |
54-29099 54 days ago |
54-29093 54 days |
| 38325 |
Jun2M author:Jun2M |
feat(Combinatorics/Graph): EndPoint function |
This PR introduces `endPoints`: `Set` of incident vertices, given an edge (in the case of non-edge, return empty).
**Import change**: `Graph/Basic` now imports `Data/Set/Card` to allow reasoning about card of `endPoints`.
[Relavent Zulip thread](https://leanprover.zulipchat.com/#narrow/channel/513188-CSLib/topic/New.20graph.20definitions/with/588616269)
---
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|
t-combinatorics
large-import
|
83/3 |
Mathlib/Combinatorics/Graph/Basic.lean |
1 |
9 |
['Jun2M', 'SnirBroshi', 'eric-wieser', 'github-actions', 'mathlib-bors'] |
b-mehta assignee:b-mehta |
9-8504 9 days ago |
52-23127 52 days ago |
53-79464 53 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 |
9-8502 9 days ago |
43-74943 43 days ago |
43-79320 43 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 |
9-8498 9 days ago |
36-54476 36 days ago |
36-54470 36 days |
| 39472 |
NoahW314 author:NoahW314 |
feat(RingTheory/MvPolynomial/Homogeneous): add homogeneous lemmas |
---
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|
t-ring-theory
large-import
|
74/2 |
Mathlib/Data/Finsupp/Weight.lean,Mathlib/RingTheory/MvPolynomial/Homogeneous.lean,Mathlib/RingTheory/MvPolynomial/WeightedHomogeneous.lean |
3 |
1 |
['github-actions'] |
riccardobrasca assignee:riccardobrasca |
9-8496 9 days ago |
28-31023 28 days ago |
28-31211 28 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 |
9-8493 9 days ago |
25-63952 25 days ago |
25-64560 25 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 |
9-8492 9 days ago |
18-16984 18 days ago |
18-70218 18 days |
| 40238 |
riccardobrasca author:riccardobrasca |
feat: add norm_zpow |
From flt-regular.
---
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|
t-ring-theory |
11/2 |
Mathlib/RingTheory/Norm/Basic.lean |
1 |
1 |
['github-actions'] |
mattrobball assignee:mattrobball |
9-8485 9 days ago |
9-31997 9 days ago |
9-31991 9 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 |
9-8388 9 days ago |
9-8388 9 days ago |
22-16134 22 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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|
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 |
9-3028 9 days ago |
9-3892 9 days ago |
9-25939 9 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 |
8-85436 8 days ago |
9-506 9 days ago |
9-500 9 days |
| 37008 |
BryceT233 author:BryceT233 |
feat(RingTheory/LocalRing): `IsLocalRing` for pullbacks |
We provide basic lemmas for equalizers and pullbacks of `RingHom` and `AlgHom`, and show they are local rings under suitable condtions.
This is needed in #37940 to construct a residue algebra structure on pullbacks.
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|
t-ring-theory |
168/0 |
Mathlib.lean,Mathlib/RingTheory/LocalRing/Pullback.lean |
2 |
10 |
['BryceT233', 'github-actions', 'riccardobrasca', 'wwylele'] |
riccardobrasca assignee:riccardobrasca |
8-72726 8 days ago |
8-73575 8 days ago |
82-73090 82 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 |
8-69714 8 days ago |
9-70145 9 days ago |
21-55532 21 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 |
8-60502 8 days ago |
8-61326 8 days ago |
16-5105 16 days |
| 40257 |
Garmelon author:Garmelon |
chore(CI): fix merge conflict resolution for nightly-testing |
Resolving merge conflicts in favor of `nightly-testing` when merging `master` may be convenient for nightly maintainers, but it can lead to changes made on `master` accidentally being dropped again later in the bump PR. For an example case, see #40189 (see [#PR reviews > #39443 `nonempty_preimage_iff` @ 💬](https://leanprover.zulipchat.com/#narrow/channel/144837-PR-reviews/topic/.2339443.20.60nonempty_preimage_iff.60/near/599885755) for an explanation of what happened).
Resolving conflicts in favor of `master` means that `nightly-testing` will rather break than silently undoing changes made on `master`. |
CI |
6/4 |
.github/workflows/nightly_merge_master.yml |
1 |
1 |
['github-actions'] |
nobody |
8-54957 8 days ago |
8-55043 8 days ago |
8-55037 8 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 |
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 |
1 |
['github-actions'] |
nobody |
8-54612 8 days ago |
8-56644 8 days ago |
8-56638 8 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 |
8-50759 8 days ago |
8-59639 8 days ago |
8-60983 8 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 |
8-50393 8 days ago |
9-8770 9 days ago |
58-67464 58 days |
| 39029 |
felixpernegger author:felixpernegger |
chore: remove redundant `unfold`s |
This PR removed roughly (estimated by files I went through) half of the `unfold`'s in mathlib which can be removed such that the proof still works (found by searching `unfold ` in VSCode in manually going through ~600/1100 occurences).
I originally planned to replace all, but I couldn't find any relevant discussion if this is actually a good practice, so to save potentially wasted time, I make this PR now. (similarly with the `clear` tactic)
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|
65/109 |
Archive/Imo/Imo1994Q1.lean,Archive/Imo/Imo1998Q2.lean,Archive/Imo/Imo2001Q5.lean,Archive/Wiedijk100Theorems/BuffonsNeedle.lean,Mathlib/Algebra/EuclideanDomain/Basic.lean,Mathlib/Algebra/MvPolynomial/Variables.lean,Mathlib/Algebra/Order/Floor/Ring.lean,Mathlib/AlgebraicGeometry/GammaSpecAdjunction.lean,Mathlib/AlgebraicTopology/SimplexCategory/Basic.lean,Mathlib/AlgebraicTopology/SimplicialSet/Coskeletal.lean,Mathlib/Analysis/Asymptotics/SuperpolynomialDecay.lean,Mathlib/Analysis/Complex/JensenFormula.lean,Mathlib/Analysis/Convex/Strict.lean,Mathlib/Analysis/InnerProductSpace/Calculus.lean,Mathlib/Analysis/InnerProductSpace/GramSchmidtOrtho.lean,Mathlib/Analysis/InnerProductSpace/PiL2.lean,Mathlib/Analysis/SpecialFunctions/ContinuousFunctionalCalculus/Rpow/Basic.lean,Mathlib/Analysis/SpecialFunctions/Trigonometric/Chebyshev/Orthogonality.lean,Mathlib/CategoryTheory/Functor/Flat.lean,Mathlib/CategoryTheory/Functor/FullyFaithful.lean,Mathlib/CategoryTheory/Monoidal/Closed/Functor.lean,Mathlib/Combinatorics/Enumerative/Partition/Basic.lean,Mathlib/Combinatorics/Graph/Delete.lean,Mathlib/Computability/PartrecCode.lean,Mathlib/Computability/RegularExpressions.lean,Mathlib/Computability/TuringMachine/PostTuringMachine.lean,Mathlib/Computability/TuringMachine/StackTuringMachine.lean,Mathlib/Condensed/Light/TopCatAdjunction.lean,Mathlib/Data/Fintype/EquivFin.lean,Mathlib/Data/Fintype/List.lean,Mathlib/Data/Int/GCD.lean,Mathlib/Data/List/Intervals.lean,Mathlib/Data/Matrix/Basis.lean,Mathlib/Data/Nat/BinaryRec.lean,Mathlib/Data/Nat/ChineseRemainder.lean,Mathlib/Data/Nat/Digits/Div.lean,Mathlib/Data/Nat/Dist.lean,Mathlib/Data/Ordmap/Ordset.lean,Mathlib/Data/PNat/Prime.lean,Mathlib/Data/Real/Embedding.lean,Mathlib/Data/Seq/Defs.lean,Mathlib/Data/Stream/Init.lean,Mathlib/Data/WSeq/Basic.lean,Mathlib/Data/ZMod/Basic.lean |
44 |
6 |
['felixpernegger', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts'] |
nobody |
8-47398 8 days ago |
8-49186 8 days ago |
35-13761 35 days |
| 40251 |
lua-vr author:lua-vr |
feat: make topologicalClosure a ClosureOperator |
... for `Submodule` and `Submonoid`. Makes it possible to use lemmas in the `Order.Closure` file.
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|
t-topology |
17/13 |
Mathlib/Analysis/Convex/Cone/InnerDual.lean,Mathlib/Topology/Algebra/Module/Basic.lean,Mathlib/Topology/Algebra/Monoid.lean |
3 |
1 |
['github-actions'] |
nobody |
8-44981 8 days ago |
8-45868 8 days ago |
8-46959 8 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 |
8-38866 8 days ago |
8-39715 8 days ago |
8-39709 8 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 |
8-38815 8 days ago |
8-39807 8 days ago |
24-37853 24 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 |
8-32754 8 days ago |
8-52190 8 days ago |
30-20318 30 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 |
8-29837 8 days ago |
8-31019 8 days ago |
8-31013 8 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 |
8-28289 8 days ago |
8-28321 8 days ago |
21-77452 21 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 |
8-16828 8 days ago |
8-17733 8 days ago |
8-17727 8 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 |
8-10596 8 days ago |
8-11543 8 days ago |
8-11714 8 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 |
8-8848 8 days ago |
33-27718 33 days ago |
34-65942 34 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 |
8-8846 8 days ago |
21-54457 21 days ago |
37-24220 37 days |
| 39256 |
Sfgangloff author:Sfgangloff |
feat(SymbolicDynamics): add monotonicity lemma for LanguageOn |
In Symbolic dynamics.
Proof that the language of a set of configurations is monotone with respect to inclusion of configuration sets:
X ⊆ Y → LanguageOn X U ⊆ LanguageOn Y U
The proof is a direct unfolding of definitions: a pattern in the language of X comes from restricting some configuration x ∈ X, and inclusion X ⊆ Y allows the same witness to be used for Y.
Related to issue #39252 |
t-dynamics
new-contributor
|
9/1 |
Mathlib/Dynamics/SymbolicDynamics/Basic.lean |
1 |
3 |
['github-actions'] |
sgouezel assignee:sgouezel |
8-8841 8 days ago |
32-47859 32 days ago |
32-47853 32 days |
| 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'] |
ADedecker assignee:ADedecker |
8-8840 8 days ago |
15-50225 15 days ago |
15-81554 15 days |
| 39494 |
Hagb author:Hagb |
chore(Data/Finsupp/MonomialOrder): rename fields of `MonomialOrder` to match naming conventions |
Moves:
- MonomialOrder.acm -> MonomialOrder.addCommMonoid_syn
- MonomialOrder.lo -> MonomialOrder.linearOrder_syn
- MonomialOrder.iocam -> MonomialOrder.isOrderedCancelAddMonoid_syn
- MonomialOrder.wf -> MonomialOrder.wellFoundedLT_syn
---
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[](https://gitpod.io/from-referrer/)
|
t-ring-theory |
15/6 |
Mathlib/Data/Finsupp/MonomialOrder.lean,Mathlib/RingTheory/MvPolynomial/Groebner.lean |
2 |
1 |
['github-actions'] |
joneugster assignee:joneugster |
8-8837 8 days ago |
28-1286 28 days ago |
28-1807 28 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 |
8-8836 8 days ago |
8-37408 8 days ago |
8-40306 8 days |
| 39896 |
yuanyi-350 author:yuanyi-350 |
refactor(Analysis): golf `Mathlib/Analysis/Normed/Operator/ContinuousLinearMap` |
- refactors `Normed/Operator/ContinuousLinearMap` by reusing `mkContinuous` in bounded linear continuity proofs and shortening `homothety_inverse`
Extracted from #37968
[](https://gitpod.io/from-referrer/) |
codex
t-analysis
LLM-generated
|
5/16 |
Mathlib/Analysis/Normed/Operator/ContinuousLinearMap.lean |
1 |
4 |
['ADedecker', 'github-actions', 'themathqueen', 'yuanyi-350'] |
sgouezel assignee:sgouezel |
8-8834 8 days ago |
18-11154 18 days ago |
18-11148 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'] |
ADedecker assignee:ADedecker |
8-8832 8 days ago |
16-26725 16 days ago |
16-26719 16 days |
| 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
|
105/0 |
Mathlib.lean,Mathlib/CategoryTheory/Limits/Preserves/Lattice.lean |
2 |
2 |
['dagurtomas', 'github-actions'] |
robin-carlier assignee:robin-carlier |
8-8831 8 days ago |
15-82754 15 days ago |
15-85742 15 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'] |
ADedecker assignee:ADedecker |
8-8828 8 days ago |
14-48817 14 days ago |
14-48811 14 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 |
8-8825 8 days ago |
8-62956 8 days ago |
8-62950 8 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 |
8-2574 8 days ago |
51-12610 51 days ago |
53-81710 53 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 |
7-82784 7 days ago |
8-1578 8 days ago |
8-3578 8 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 |
7-72021 7 days ago |
7-72021 7 days ago |
25-37974 25 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 |
7-56155 7 days ago |
8-79270 8 days ago |
8-79264 8 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 |
7-54366 7 days ago |
7-55203 7 days ago |
17-4817 17 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 |
7-50866 7 days ago |
7-54140 7 days ago |
16-59687 16 days |
| 38369 |
quantumsnow author:quantumsnow |
feat(AlgebraicTopology): Eilenberg Steenrod axioms |
This introduces the Eilenberg-Steenrod axioms for a homology theory.
---
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|
new-contributor
t-algebraic-topology
large-import
|
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'] |
nobody |
7-50652 7 days ago |
7-51070 7 days ago |
11-8982 11 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'] |
nobody |
7-45410 7 days ago |
7-46227 7 days ago |
7-46221 7 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 |
7-45368 7 days ago |
7-45368 7 days ago |
7-50607 7 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 |
7-42354 7 days ago |
7-44762 7 days ago |
7-44756 7 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 |
7-41302 7 days ago |
7-42514 7 days ago |
7-42508 7 days |
| 40301 |
xroblot author:xroblot |
feat(RingTheory/UniqueFactorizationDomain): add emultiplicity characterizations |
Adds characterizations of primality, vanishing, associatedness and equality in `WfDvdMonoid`/`UniqueFactorizationMonoid` in terms of `emultiplicity`:
- `Prime.emultiplicity_self`, `Prime.emultiplicity_prime`
- `WfDvdMonoid.eq_zero_iff_forall_prime_pow_dvd`, `WfDvdMonoid.ne_zero_iff_finiteMultiplicity`
- `UniqueFactorizationMonoid.associated_iff_emultiplicity_eq(')`, `UniqueFactorizationMonoid.eq_iff_emultiplicity_eq`
:robot: This PR was extracted from the [SKW project](https://github.com/xroblot/SKW) by Claude. |
t-ring-theory |
78/0 |
Mathlib/RingTheory/UniqueFactorizationDomain/Multiplicity.lean |
1 |
1 |
['github-actions'] |
nobody |
7-40623 7 days ago |
7-41925 7 days ago |
7-41919 7 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 |
7-38899 7 days ago |
23-17133 23 days ago |
68-11469 68 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 |
7-35165 7 days ago |
7-37366 7 days ago |
33-80900 33 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'] |
nobody |
7-26531 7 days ago |
7-28662 7 days ago |
7-28656 7 days |
| 39908 |
SnirBroshi author:SnirBroshi |
chore(Order): infer `toDecidable*` in `*LinearOrder`s when possible |
Surround the `toDecidableEq`/`toDecidableLE`/`toDecidableLT` fields in `LinearOrder`/`CompleteLinearOrder`/`ConditionallyCompleteLinearOrder` with square brackets to let TC-search try to infer it.
---
I also tried prepending `by first | infer_instance | exact` to the existing defaults of `toDecidableEq`/`toDecidableLT` but it broke instances. It looks like a tactic block can't reference other fields unlike a default term.
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t-order |
168/221 |
Mathlib/Algebra/BigOperators/Ring/Nat.lean,Mathlib/Algebra/Order/Archimedean/Class.lean,Mathlib/Algebra/Order/Group/Cone.lean,Mathlib/Algebra/Order/Ring/Unbundled/Rat.lean,Mathlib/Algebra/Tropical/Basic.lean,Mathlib/Combinatorics/Colex.lean,Mathlib/Combinatorics/SimpleGraph/VertexCover.lean,Mathlib/Data/Bool/Basic.lean,Mathlib/Data/Char.lean,Mathlib/Data/DFinsupp/Lex.lean,Mathlib/Data/Finsupp/MonomialOrder/DegLex.lean,Mathlib/Data/Int/Order/Basic.lean,Mathlib/Data/Nat/Basic.lean,Mathlib/Data/Num/Lemmas.lean,Mathlib/Data/Num/ZNum.lean,Mathlib/Data/PSigma/Order.lean,Mathlib/Data/Prod/Lex.lean,Mathlib/Data/Set/Card.lean,Mathlib/Data/Sigma/Order.lean,Mathlib/Data/Sign/Defs.lean,Mathlib/Data/String/Basic.lean,Mathlib/Data/Sum/Order.lean,Mathlib/GroupTheory/DivisibleHull.lean,Mathlib/GroupTheory/MonoidLocalization/Order.lean,Mathlib/GroupTheory/SpecificGroups/Cyclic.lean,Mathlib/LinearAlgebra/Center.lean,Mathlib/LinearAlgebra/Projectivization/Cardinality.lean,Mathlib/MeasureTheory/Measure/MeasureSpace.lean,Mathlib/ModelTheory/Order.lean,Mathlib/NumberTheory/Zsqrtd/Basic.lean,Mathlib/Order/Antisymmetrization.lean,Mathlib/Order/Atoms.lean,Mathlib/Order/Basic.lean,Mathlib/Order/Comparable.lean,Mathlib/Order/Compare.lean,Mathlib/Order/CompleteLattice/Defs.lean,Mathlib/Order/Completion.lean,Mathlib/Order/ConditionallyCompleteLattice/Defs.lean,Mathlib/Order/Defs/LinearOrder.lean,Mathlib/Order/Extension/Linear.lean,Mathlib/Order/Extension/Well.lean,Mathlib/Order/Interval/Lex.lean,Mathlib/Order/Lattice.lean,Mathlib/Order/OrderDual.lean,Mathlib/Order/Preorder/Chain.lean,Mathlib/Order/Quotient.lean,Mathlib/Order/RelClasses.lean,Mathlib/Order/SuccPred/Archimedean.lean,Mathlib/RingTheory/HahnSeries/Lex.lean,Mathlib/RingTheory/RegularLocalRing/Defs.lean,Mathlib/RingTheory/Valuation/ValuationRing.lean,Mathlib/RingTheory/Valuation/ValuationSubring.lean,Mathlib/RingTheory/Valuation/ValuativeRel/Basic.lean,Mathlib/SetTheory/Cardinal/Finite.lean,Mathlib/SetTheory/Cardinal/Order.lean,Mathlib/SetTheory/Ordinal/Basic.lean |
56 |
22 |
['SnirBroshi', 'YaelDillies', 'github-actions', 'leanprover-radar', 'mathlib-merge-conflicts'] |
YaelDillies assignee:YaelDillies |
7-26403 7 days ago |
7-29861 7 days ago |
10-27445 10 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 |
7-10230 7 days ago |
29-22974 29 days ago |
29-22968 29 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 |
7-9698 7 days ago |
7-12789 7 days ago |
65-37028 65 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 |
7-9637 7 days ago |
11-30227 11 days ago |
42-67639 42 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 |
7-8335 7 days ago |
27-60801 27 days ago |
27-61095 27 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 |
7-8334 7 days ago |
23-64098 23 days ago |
23-67548 23 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 |
7-8331 7 days ago |
8-49991 8 days ago |
8-51238 8 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 |
7-8329 7 days ago |
7-70801 7 days ago |
7-70795 7 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 |
6-85626 6 days ago |
7-1625 7 days ago |
7-2275 7 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'] |
nobody |
6-82581 6 days ago |
7-15573 7 days ago |
47-46864 47 days |
| 40321 |
yuanyi-350 author:yuanyi-350 |
chore(Topology/Instances/Complex): remove an erw |
- rewrites the real subfield branch to use `ofRealHom.rangeRestrictField`, allowing the `hr` rewrite to be handled by `rw`
Extracted from #40147 |
codex
t-topology
LLM-generated
|
5/11 |
Mathlib/Topology/Instances/Complex.lean |
1 |
1 |
['github-actions'] |
nobody |
6-78187 6 days ago |
6-79000 6 days ago |
6-78994 6 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'] |
Vierkantor assignee:Vierkantor |
6-76741 6 days ago |
43-20260 43 days ago |
108-53762 108 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 |
6-70241 6 days ago |
7-19655 7 days ago |
7-22633 7 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 |
6-69096 6 days ago |
6-69098 6 days ago |
10-56291 10 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 |
6-62614 6 days ago |
6-63447 6 days ago |
6-63813 6 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 |
6-61396 6 days ago |
7-64467 7 days ago |
7-64461 7 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 |
6-52402 6 days ago |
6-53222 6 days ago |
7-40779 7 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 |
6-52236 6 days ago |
6-53028 6 days ago |
6-55128 6 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 |
6-50428 6 days ago |
6-51190 6 days ago |
52-68569 52 days |
| 37680 |
IvanRenison author:IvanRenison |
feat(Combinatorics/SimpleGraph/Clique): add lemmas about isomorphisms and cliques |
---
Idea from this Zulip thread: [#**graph theory>Second Order Monadic Logic for Graph** ](https://leanprover.zulipchat.com/#narrow/channel/252551-graph-theory/topic/Second.20Order.20Monadic.20Logic.20for.20Graph/with/583013775)
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[](https://gitpod.io/from-referrer/)
|
t-combinatorics |
86/0 |
Mathlib/Combinatorics/SimpleGraph/Clique.lean |
1 |
6 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
6-49993 6 days ago |
6-50804 6 days ago |
6-51330 6 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 |
6-42171 6 days ago |
7-30889 7 days ago |
7-32406 7 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 |
6-32614 6 days ago |
18-32628 18 days ago |
18-36349 18 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 |
6-31844 6 days ago |
6-35095 6 days ago |
33-44266 33 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 |
6-30748 6 days ago |
6-31672 6 days ago |
6-38224 6 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 |
6-27258 6 days ago |
7-43945 7 days ago |
7-43939 7 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 |
6-27237 6 days ago |
6-45622 6 days ago |
6-45858 6 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 |
6-15615 6 days ago |
6-37754 6 days ago |
11-35556 11 days |
| 39067 |
mbkybky author:mbkybky |
feat(Algebra/Module): define modules admitting finite free resolutions |
We say that an `R`-module `M` has a finite free resolution if there exists an exact sequence `0 ⟶ Eₙ ⟶ ⋯ ⟶ E₀ ⟶ M ⟶ 0` such that `Eᵢ` are finite free `R`-modules.
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|
t-algebra label:t-algebra$ |
186/0 |
Mathlib.lean,Mathlib/Algebra/Module/Equiv/Defs.lean,Mathlib/Algebra/Module/FiniteFreeResolution/Basic.lean |
3 |
1 |
['github-actions'] |
joelriou assignee:joelriou |
6-8299 6 days ago |
10-81977 10 days ago |
36-59104 36 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 |
6-8297 6 days ago |
8-22305 8 days ago |
13-57600 13 days |
| 40094 |
mcdoll author:mcdoll |
chore(Analysis/TemperedDistribution): add coercion and fix existing one |
Adds a missing coercion from Schwartz functions to `Lp` functions and changes the
current coercion from `Lp` functions to tempered distributions from `CoeDep` to `CoeHead`.
The second coercion can only appear at the head of a coercion chain, because `𝓢'(E, F)` can't infer the value of `p` or `μ`.
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|
t-analysis |
8/4 |
Mathlib/Analysis/Distribution/SchwartzSpace/Basic.lean,Mathlib/Analysis/Distribution/TemperedDistribution.lean |
2 |
1 |
['github-actions'] |
ADedecker assignee:ADedecker |
6-8296 6 days ago |
12-76444 12 days ago |
12-76438 12 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 |
6-2847 6 days ago |
36-49632 36 days ago |
71-37697 71 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 |
6-1178 6 days ago |
28-50359 28 days ago |
28-50713 28 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 |
5-66857 5 days ago |
5-67704 5 days ago |
22-59983 22 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 |
5-66797 5 days ago |
5-67577 5 days ago |
6-83975 6 days |
| 40355 |
JovanGerb author:JovanGerb |
feat(CategoryTheory/Comma/Basic): use `to_dual` more |
This PR continues tagging things about `Comma` with `to_dual`.
This PR also expands the `to_dual_name_hint` syntax so that you can give multiple name hints with a single command, instead of having to repeat the command.
This PR adds `CategoryTheory.Comma.map_obj_hom'`, the dual of `CategoryTheory.Comma.map_obj_hom`.
---
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|
81/134 |
Mathlib/CategoryTheory/Comma/Basic.lean,Mathlib/Order/Interval/Set/Disjoint.lean,Mathlib/Tactic/Translate/ToDual.lean,MathlibTest/Attribute/ToDual.lean |
4 |
1 |
['github-actions'] |
nobody |
5-62765 5 days ago |
5-66620 5 days ago |
5-66614 5 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 |
5-61998 5 days ago |
9-41635 9 days ago |
9-43394 9 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 |
5-55459 5 days ago |
5-56381 5 days ago |
16-58966 16 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 |
5-52180 5 days ago |
5-53344 5 days ago |
5-53338 5 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 |
5-49487 5 days ago |
5-50365 5 days ago |
6-33564 6 days |
| 40151 |
TJHeeringa author:TJHeeringa |
feat(Analysis/Normed): Add isLinearMap_extension |
---
`Uniform.Completion.extension` maps a map $f:\alpha\to\beta$ to $f:\text{Completion }\alpha \to \beta$. There are theorems that show that this operations preserves continuous, uniformly, continuous and LipschitzWith, but not linearity. This adds that theorem.
Asked at [#Is there code for X? > Theorem for Completion.extension preserving linearity](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Theorem.20for.20Completion.2Eextension.20preserving.20linearity/with/599463628) whether it exists. No response given.
I placed it in other parts about extensions, but I needed to add an (flagged as costly) import for making this work. Hence, I am not sure I added it in the right spot.
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|
t-analysis
large-import
|
18/0 |
Mathlib/Analysis/Normed/Module/Completion.lean |
1 |
1 |
['github-actions'] |
nobody |
5-47969 5 days ago |
6-48892 6 days ago |
6-48886 6 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 |
5-46153 5 days ago |
9-50029 9 days ago |
9-59860 9 days |
| 40363 |
adomani author:adomani |
feat: `(B, N)`-pairs |
This PR introduces `(B, N)`-pairs and proves the first basic properties for them.
We follow the treatment in Carter's `Simple groups of Lie type`. We do *not* establish the relationship between this definition and the underlying Coxeter group, as the PR is already quite substantial as is.
---
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|
t-group-theory |
321/0 |
Mathlib.lean,Mathlib/Algebra/Group/Subgroup/Pointwise.lean,Mathlib/GroupTheory/BNPair/Basic.lean,docs/references.bib |
4 |
1 |
['github-actions'] |
nobody |
5-43202 5 days ago |
5-45733 5 days ago |
5-45727 5 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 |
5-41554 5 days ago |
5-42297 5 days ago |
5-42461 5 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'] |
b-mehta assignee:b-mehta |
5-41139 5 days ago |
44-39153 44 days ago |
81-80481 81 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 |
5-37980 5 days ago |
5-51067 5 days ago |
5-51516 5 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 |
5-37710 5 days ago |
6-51816 6 days ago |
6-51810 6 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 |
5-32157 5 days ago |
5-34712 5 days ago |
10-80350 10 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 |
2 |
['github-actions'] |
nobody |
5-26640 5 days ago |
5-30214 5 days ago |
5-30208 5 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 |
5-17326 5 days ago |
5-20660 5 days ago |
6-29774 6 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 |
5-16053 5 days ago |
5-19576 5 days ago |
5-22855 5 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 |
5-8828 5 days ago |
27-70701 27 days ago |
75-23143 75 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.
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 |
1 |
['github-actions'] |
riccardobrasca assignee:riccardobrasca |
5-8826 5 days ago |
11-66068 11 days ago |
36-53765 36 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 |
5-8824 5 days ago |
31-22753 31 days ago |
31-22747 31 days |
| 40219 |
riccardobrasca author:riccardobrasca |
feat: add LinearIndependent.update |
From flt-regular.
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|
t-algebra label:t-algebra$ |
29/0 |
Mathlib/LinearAlgebra/LinearIndependent/Lemmas.lean |
1 |
1 |
['github-actions'] |
ocfnash assignee:ocfnash |
5-8823 5 days ago |
9-56766 9 days ago |
9-56760 9 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 |
5-7766 5 days ago |
24-58183 24 days ago |
24-58177 24 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 |
5-3408 5 days ago |
5-4139 5 days ago |
19-21964 19 days |
| 40379 |
peabrainiac author:peabrainiac |
refactor(Topology/Algebra): use `IsOpenUnits` more widely |
Mathlib currently has a typeclass `IsOpenUnits` for topological monoids for which `Units.val : Mˣ → M` is an open embedding, but provides lemmas like `Units.isOpenEmbedding_val` and `Units.isOpenMap_val` only in special cases like normed rings and groups instead of for all monoids with this property. This PR fixes that by providing an `IsOpenUnits`-instance for normed rings and generalising those lemmas to use the typeclass instead. To do this without increasing imports of `Mathlib.Analysis.Normed.Ring.Units` significantly, we also move `IsOpenUnits.of_isAdic` from `Mathlib.Topology.Algebra.IsOpenUnits` to `Mathlib.Topology.Algebra.Nonarchimedean.AdicTopology`.
The PR also contains two new API lemmas that ended up in the commit history earlier when the scope I had in mind for this PR was slightly larger; they are relatively self-explanatory so I hope they should be easy to review, but if not I can also move them to a follow-up PR.
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t-algebra
t-topology
t-analysis
large-import
label:t-algebra$ |
96/63 |
Mathlib/Analysis/Normed/Ring/Units.lean,Mathlib/Topology/Algebra/Constructions.lean,Mathlib/Topology/Algebra/Group/Basic.lean,Mathlib/Topology/Algebra/IsOpenUnits.lean,Mathlib/Topology/Algebra/Nonarchimedean/AdicTopology.lean |
5 |
2 |
['github-actions', 'peabrainiac'] |
nobody |
5-444 5 days ago |
5-2258 5 days ago |
5-2252 5 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 |
4-83982 4 days ago |
4-84812 4 days ago |
4-85234 4 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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|
283/503 |
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/TraceForm.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/Calculus/Implicit.lean,Mathlib/Analysis/Calculus/ImplicitFunction/Bivariate.lean,Mathlib/Analysis/Calculus/ImplicitFunction/ProdDomain.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 |
179 |
6 |
['felixpernegger', 'github-actions', 'leanprover-radar', 'mathlib-bors'] |
nobody |
4-78410 4 days ago |
4-78410 4 days ago |
4-79475 4 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 |
4-76653 4 days ago |
4-77608 4 days ago |
4-79879 4 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 |
4-73018 4 days ago |
8-24862 8 days ago |
8-24856 8 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 |
4-72290 4 days ago |
4-72342 4 days ago |
4-72337 4 days |
| 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 |
310/3 |
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 |
1 |
['github-actions'] |
nobody |
4-71748 4 days ago |
4-74119 4 days ago |
4-74113 4 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 |
4-70593 4 days ago |
4-70643 4 days ago |
4-71421 4 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 |
4-69140 4 days ago |
4-69183 4 days ago |
4-69178 4 days |
| 36501 |
AntoineChambert-Loir author:AntoineChambert-Loir |
feat(RingTheory/GradedAlgebra/Homogeneous/RingQuot): graded structure on the quotient of a graded ring by a homogeneous ideal |
Define the graded structure on the quotient of a graded ring by a homogeneous ideal
Co-authored with: @mariainesdff
(Possible TODO:
- Maybe define the graded structure on the quotient of a graded module by a homogeneous submodule.
- There is also an issue of working with ring congruences rather than with ideals. )
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|
t-algebra label:t-algebra$ |
504/20 |
Mathlib.lean,Mathlib/Algebra/DirectSum/Decomposition.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Basic.lean,Mathlib/AlgebraicGeometry/ProjectiveSpectrum/Scheme.lean,Mathlib/Data/DFinsupp/BigOperators.lean,Mathlib/RingTheory/GradedAlgebra/Basic.lean,Mathlib/RingTheory/GradedAlgebra/Homogeneous/Ideal.lean,Mathlib/RingTheory/GradedAlgebra/Homogeneous/RingQuot.lean,Mathlib/RingTheory/GradedAlgebra/HomogeneousLocalization.lean,Mathlib/RingTheory/Ideal/Span.lean |
10 |
134 |
['AntoineChambert-Loir', 'TentativeConvert', 'chrisflav', 'eric-wieser', 'github-actions', 'mathlib-merge-conflicts', 'robin-carlier'] |
eric-wieser and robin-carlier assignee:eric-wieser assignee:robin-carlier |
4-65553 4 days ago |
20-37768 20 days ago |
68-28777 68 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 |
4-65180 4 days ago |
52-26741 52 days ago |
52-26735 52 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 |
4-58182 4 days ago |
4-61480 4 days ago |
4-61474 4 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 |
4-56820 4 days ago |
5-34521 5 days ago |
20-58328 20 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 |
4-56390 4 days ago |
4-76631 4 days ago |
7-56503 7 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 |
4-56227 4 days ago |
4-59625 4 days ago |
6-61921 6 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 |
4-54880 4 days ago |
5-40093 5 days ago |
6-22186 6 days |
| 40322 |
yuanyi-350 author:yuanyi-350 |
chore(Algebra/Order/Hom): 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 |
2 |
['ADedecker', 'github-actions'] |
nobody |
4-49195 4 days ago |
6-78022 6 days ago |
6-78016 6 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 |
2 |
['github-actions'] |
nobody |
4-46695 4 days ago |
4-46695 4 days ago |
4-46706 4 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 |
4-45318 4 days ago |
6-85182 6 days ago |
6-85683 6 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 |
4-44550 4 days ago |
15-40987 15 days ago |
15-40981 15 days |
| 40415 |
mariainesdff author:mariainesdff |
feat(Data/Finset/Sym): add Finset.sum_count_sym_eq_val_sum |
Co-authored by: @AntoineChambert-Loir
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t-data
large-import
|
18/2 |
Mathlib/Data/Finset/Sym.lean |
1 |
1 |
['github-actions'] |
nobody |
4-40939 4 days ago |
4-42625 4 days ago |
4-42619 4 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 |
4-40589 4 days ago |
4-57758 4 days ago |
6-40232 6 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 |
4-39598 4 days ago |
4-41452 4 days ago |
4-41446 4 days |
| 40420 |
sgouezel author:sgouezel |
chore: remove non-reducible diamond in splitting field |
Currently, `f.SplittingField` has two `K`-algebra structures. The PR fixes this.
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t-algebra
tech debt
label:t-algebra$ |
3/1 |
Mathlib/FieldTheory/SplittingField/Construction.lean |
1 |
3 |
['github-actions', 'grunweg', 'sgouezel'] |
nobody |
4-34317 4 days ago |
4-40177 4 days ago |
4-40209 4 days |
| 39793 |
grunweg author:grunweg |
feat: make the `dupNamespace` linter catch any duplicate namespace(s) |
Before this PR, the `dupNamespace` linter would only flag a namespace as duplicate if it was repeated in two consecutive positions: `Foo.Foo.bar` would be linted, but neither `Foo.Bar.Foo.Bar.baz` nor `Foo.Bar.Foo.Baz.baz` would be (even though they are very likely unintentional).
Strengthen the linter check, to error if any namespace component is duplicated.
This has few false positives (which we manually annotate), but catches many pre-existing
cases where the duplication was clearly unintentional and undesirable.
Most of the mathlib adaptation was done in #39794.
---
- [x] depends on: #39794
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|
t-linter |
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 |
35 |
['SnirBroshi', 'github-actions', 'grunweg', 'joneugster', 'kim-em', 'leanprover-radar', 'mathlib-dependent-issues'] |
joneugster and thorimur assignee:joneugster assignee:thorimur |
4-33530 4 days ago |
4-68300 4 days ago |
6-58758 6 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 |
4-29700 4 days ago |
4-29760 4 days ago |
4-29768 4 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 |
4-25429 4 days ago |
4-31095 4 days ago |
8-61211 8 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 |
4-23571 4 days ago |
9-620 9 days ago |
27-32411 27 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 |
4-23380 4 days ago |
4-42162 4 days ago |
4-42156 4 days |
| 40413 |
ldct author:ldct |
feat: normal_of_le_center |
`instNormalCenter` states that the center of a group is normal
Actually, a more general statement is true: every subgroup of the center is normal.
This PR proves the more general statement as `normal_of_le_center` and makes `instNormalCenter` a special case of that
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|
t-group-theory |
5/2 |
Mathlib/GroupTheory/Subgroup/Center.lean |
1 |
5 |
['eric-wieser', 'github-actions', 'tb65536', 'themathqueen'] |
nobody |
4-19376 4 days ago |
4-45088 4 days ago |
4-45082 4 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 |
4-18661 4 days ago |
4-20414 4 days ago |
44-7397 44 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 |
4-17714 4 days ago |
4-17764 4 days ago |
4-17759 4 days |
| 40003 |
grunweg author:grunweg |
chore: move Data.Set.{Accumulate,Dissipate} to Order.Set{Accumulate,Dissipate} |
Both files have only order-theoretic imports, and their contents are arguably also order-theoretic.
---
- [ ] depends on: #39990
Bikeshedding question: should I create a new directory `Order/Set` instead, then move `Order/Set.lean` to `Order/Set/Basic.lean` and move these files to `Order/Set/Accumulate.lean` etc.? I'm happy to do so if preferred.
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file-removed |
6/6 |
Mathlib.lean,Mathlib/MeasureTheory/PiSystem.lean,Mathlib/MeasureTheory/SetSemiring.lean,Mathlib/Order/SetAccumulate.lean,Mathlib/Order/SetDissipate.lean,Mathlib/Topology/Compactness/Compact.lean |
6 |
3 |
['github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
4-16375 4 days ago |
4-18217 4 days ago |
4-19874 4 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 |
4-16349 4 days ago |
4-16397 4 days ago |
4-16391 4 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 |
4-11951 4 days ago |
9-77538 9 days ago |
10-8282 10 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 |
4-10230 4 days ago |
19-9071 19 days ago |
33-1015 33 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 |
4-10227 4 days ago |
26-45555 26 days ago |
26-56152 26 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 |
4-8514 4 days ago |
26-82837 26 days ago |
61-7653 61 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 |
4-8513 4 days ago |
49-84416 49 days ago |
49-84410 49 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'] |
dagurtomas assignee:dagurtomas |
4-8511 4 days ago |
33-39012 33 days ago |
33-39006 33 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'] |
dagurtomas assignee:dagurtomas |
4-8509 4 days ago |
33-24691 33 days ago |
33-24917 33 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 |
4-8508 4 days ago |
31-64118 31 days ago |
31-64112 31 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 |
4-8504 4 days ago |
5-16013 5 days ago |
5-16007 5 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 |
4-8503 4 days ago |
4-67542 4 days ago |
4-67536 4 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 |
4-8503 4 days ago |
4-66938 4 days ago |
4-66932 4 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 |
4-8502 4 days ago |
4-62353 4 days ago |
4-62347 4 days |
| 40405 |
felixpernegger author:felixpernegger |
chore(MeasureTheory/Group): remove an erw |
Extracted from #40348
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|
t-measure-probability |
3/1 |
Mathlib/MeasureTheory/Group/GeometryOfNumbers.lean |
1 |
1 |
['github-actions'] |
EtienneC30 assignee:EtienneC30 |
4-8501 4 days ago |
4-60949 4 days ago |
4-60943 4 days |
| 40409 |
felixpernegger author:felixpernegger |
chore(MeasureTheory/Measure/Prod): remove an `erw` |
Extracted from #40348
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|
t-measure-probability |
5/3 |
Mathlib/MeasureTheory/Measure/Prod.lean |
1 |
1 |
['github-actions'] |
kex-y assignee:kex-y |
4-8498 4 days ago |
4-59707 4 days ago |
4-59701 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 |
4-8497 4 days ago |
4-34445 4 days ago |
4-35509 4 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 |
4-5862 4 days ago |
20-53878 20 days ago |
41-929 41 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 |
18 |
['SnirBroshi', 'github-actions', 'tb65536'] |
tb65536 assignee:tb65536 |
4-4779 4 days ago |
7-10790 7 days ago |
7-70274 7 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 |
4-1964 4 days ago |
4-1964 4 days ago |
4-58593 4 days |
| 40170 |
SnirBroshi author:SnirBroshi |
feat(Data/Nat): a number divides a power of its own radical |
A few factorization lemmas, including:
- `∀ n : ℕ`, `n ∣ radical n ^ n`
- `∀ n k : ℕ`, `n ∣ k ^ n ↔ n.primeFactors ⊆ k.primeFactors`
- `∀ n k : ℕ`, `radical n ∣ k ↔ n.primeFactors ⊆ k.primeFactors`
- In any `UniqueFactorizationMonoid M`, `∀ a : M`, `∃ n, a ∣ radical a ^ n`
[#Is there code for X? > A number divides a power of its square-free component](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/A.20number.20divides.20a.20power.20of.20its.20square-free.20component/with/599339469)
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|
t-data
t-number-theory
|
98/12 |
Mathlib/Algebra/Order/Group/Multiset.lean,Mathlib/Data/Nat/Factorization/Basic.lean,Mathlib/Data/Nat/MaxPowDiv.lean,Mathlib/Data/Nat/Squarefree.lean,Mathlib/RingTheory/Radical/Basic.lean,Mathlib/RingTheory/Radical/NatInt.lean |
6 |
10 |
['SnirBroshi', 'b-mehta', 'github-actions', 'tb65536'] |
nobody |
3-82232 3 days ago |
5-8606 5 days ago |
10-80581 10 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 |
3-79331 3 days ago |
3-80131 3 days ago |
4-55742 4 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 |
3-78143 3 days ago |
3-78143 3 days ago |
9-69276 9 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.
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|
t-data |
119/0 |
Mathlib.lean,Mathlib/Data/List/Interleave.lean |
2 |
3 |
['YaelDillies', 'github-actions', 'ocfnash'] |
nobody |
3-77365 3 days ago |
18-47040 18 days ago |
18-47468 18 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 |
3-73552 3 days ago |
4-27815 4 days ago |
4-27840 4 days |
| 40427 |
sgouezel author:sgouezel |
chore: fix non-reducible diamond in `ConjAct` |
The following fails before the PR, suceeds after it
```
example : (ConjAct.instGroupWithZero.toDivInvMonoid : DivInvMonoid (ConjAct G₀)) =
ConjAct.instDivInvMonoid := by
with_reducible_and_instances rfl
```
---
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|
t-group-theory
tech debt
|
20/6 |
Mathlib/Algebra/GroupWithZero/Action/ConjAct.lean,Mathlib/GroupTheory/GroupAction/ConjAct.lean |
2 |
2 |
['eric-wieser', 'github-actions'] |
nobody |
3-72351 3 days ago |
4-33434 4 days ago |
4-34484 4 days |
| 40429 |
sgouezel author:sgouezel |
chore: fix non-reducible diamond in AEval |
The following fails before the PR:
```example : ((Module.AEval.instAddCommGroup a).toAdd : Add (Module.AEval R M a)) =
(Module.AEval.instAddCommMonoid a).toAddCommSemigroup.toAddCommMagma.toAdd := by
with_reducible_and_instances rfl
```
It works after the PR, modulo the instance renaming.
---
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|
t-algebra
tech debt
label:t-algebra$ |
2/5 |
Mathlib/Algebra/Polynomial/Module/AEval.lean |
1 |
1 |
['github-actions'] |
nobody |
3-72335 3 days ago |
4-32081 4 days ago |
4-32075 4 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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|
|
51/125 |
Mathlib/Order/Completion.lean,Mathlib/Topology/Sion.lean |
2 |
11 |
['AntoineChambert-Loir', 'github-actions', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'vihdzp'] |
nobody |
3-70413 3 days ago |
5-40239 5 days ago |
5-40272 5 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 |
3-68863 3 days ago |
3-69694 3 days ago |
3-69688 3 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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[](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 |
3-68224 3 days ago |
4-9579 4 days ago |
4-26858 4 days |
| 39084 |
scholzhannah author:scholzhannah |
feat: generalize `OpenPartialHomeomorph.Defs` file to `PartialHomeomorph` |
Add `PartialHomeomorph`, which generalises `OpenPartialHomoemorph` by dropping the condition that the source and target be open. In other words, an `OpenPartialHomeomorph` is a `PartialHomeomorph` that additionally has open source and target.
This generalisation should find uses for manifolds (extended charts are `PartialHomeomorph`s, but their target is not open for manifolds with boundary). For CW complexes, we will want a `ClosedPartialHomeomorph`: this allows re-using results as much as possible.
This PR adds the basic definitions; future PRs will add additional material: #39071 indicates what the eventual result may be.
Zulip discussion: [#mathlib4 > Generalizing `PartialHomeomorph`?](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Generalizing.20.60PartialHomeomorph.60.3F/with/536896273)
------
old description:
As discussed on Zulip ([#mathlib4 > Generalizing `PartialHomeomorph`?](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Generalizing.20.60PartialHomeomorph.60.3F/with/536896273)), I renamed `PartialHomeomorph` to `OpenPartialHomeomorph` in #29113.
In this PR I now add a new `PartialHomeomorph` which is a `PartialEquiv` that is continuous on both source and target. An `OpenPartialHomeomorph` is then a `PartialHomeomorph` that additionally has open source and target. In subsequent PRs I will generalize the other files. See this draft PR (#39071) for what I think the end result might be.
`PartialHomeomorph` should find uses at least for manifolds (`ModelWithCorners`). Afterwards, I want to add a `ClosedPartialHomeomorph` to use for CWComplexes.
---
I don't have a lot of experience doing these kind of modifications of a large piece of code. Additionally, I am not familiar with the main uses of `OpenPartialHomeomorph` in Mathlib. So while I did this to the best of my abilities, you should read this carefully because there might be things I did wrong or in non-ideal ways.
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|
t-topology |
292/52 |
Mathlib.lean,Mathlib/Geometry/Manifold/ContMDiffMFDeriv.lean,Mathlib/Geometry/Manifold/IsManifold/Basic.lean,Mathlib/Geometry/Manifold/LocalSourceTargetProperty.lean,Mathlib/NumberTheory/NumberField/CanonicalEmbedding/NormLeOne.lean,Mathlib/Topology/FiberBundle/Trivialization.lean,Mathlib/Topology/OpenPartialHomeomorph/Basic.lean,Mathlib/Topology/OpenPartialHomeomorph/Composition.lean,Mathlib/Topology/OpenPartialHomeomorph/Constructions.lean,Mathlib/Topology/OpenPartialHomeomorph/Defs.lean,Mathlib/Topology/OpenPartialHomeomorph/IsImage.lean,Mathlib/Topology/PartialHomeomorph/Defs.lean |
12 |
41 |
['github-actions', 'grunweg', 'j-loreaux', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'scholzhannah'] |
grunweg and j-loreaux assignee:j-loreaux assignee:grunweg |
3-60674 3 days ago |
3-60705 3 days ago |
12-7529 12 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 |
3-59959 3 days ago |
3-60733 3 days ago |
54-18530 54 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'] |
nobody |
3-52169 3 days ago |
3-53681 3 days ago |
3-80873 3 days |
| 40457 |
sgouezel author:sgouezel |
chore: use more `inferInstanceAs` to define instances on type synonyms |
Otherwise, the instance functions are not declared on the right space.
---
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|
t-topology
tech debt
|
42/20 |
Mathlib/Topology/EMetricSpace/Weak.lean,Mathlib/Topology/VectorBundle/Constructions.lean |
2 |
2 |
['github-actions', 'sgouezel'] |
nobody |
3-50542 3 days ago |
3-63764 3 days ago |
3-63758 3 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 |
3-48528 3 days ago |
40-60560 40 days ago |
40-60554 40 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 |
3-47358 3 days ago |
3-47361 3 days ago |
8-5460 8 days |
| 36963 |
seewoo5 author:seewoo5 |
feat(ModularForms): SL2 action and Serre derivative |
---
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Equivariance of Serre derivative under SL2 action. More precisely, $$\partial_k (F|_k \gamma) = (\partial_{k} F)|_{k+2} \gamma$$. From [Sphere Packing Project](https://github.com/thefundamentaltheor3m/Sphere-Packing-Lean). |
t-number-theory
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 |
3-46382 3 days ago |
4-69268 4 days ago |
42-8344 42 days |
| 40247 |
tb65536 author:tb65536 |
feat(RingTheory/Invariant/Basic): generalize `Ideal.Quotient.normal` to `IsFractionRing` |
This PR generalizes `Ideal.Quotient.normal` to `IsFractionRing` (currently it only holds for quotients of maximal ideals). I have left both versions since that is the pattern of the file (to have both an `IsFractionRing` version and an `Ideal.Quotient` version).
---
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|
t-ring-theory
t-algebra
label:t-algebra$ |
73/30 |
Mathlib/RingTheory/IntegralClosure/IntegralRestrict.lean,Mathlib/RingTheory/Invariant/Basic.lean,Mathlib/RingTheory/Localization/Integral.lean |
3 |
5 |
['github-actions', 'leanprover-radar', 'riccardobrasca', 'tb65536'] |
riccardobrasca assignee:riccardobrasca |
3-42978 3 days ago |
7-79863 7 days ago |
8-75502 8 days |
| 40365 |
JovanGerb author:JovanGerb |
feat(Translate): validate all translations |
Make `to_dual`/`to_additive` validate all translations that are added. In particular, translations between fields of structures, and between lemmas generated by `simps`, are now validated. This will help catch translation problems.
In the file `Limits.Cones`, the same issue with `simps` keeps arising due to how `CategoryTheory.Iso` interacts with `to_dual`. Ideally this could be fixed at the meta level to avoid these awkward workarounds.
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 |
3-39228 3 days ago |
4-67733 4 days ago |
4-74840 4 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 |
3-35569 3 days ago |
3-40646 3 days ago |
3-40733 3 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 |
3-35455 3 days ago |
3-35473 3 days ago |
26-81061 26 days |
| 40485 |
SnirBroshi author:SnirBroshi |
feat(Analysis/MeanInequalities): equality condition for Young's inequality |
`a * b = a ^ p / p + b ^ q / q ↔ a ^ p = b ^ q` with `Real`/`NNReal`/`ENNReal` versions that match the existing `≤` theorems.
---
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|
t-analysis |
34/4 |
Mathlib/Analysis/MeanInequalities.lean |
1 |
3 |
['SnirBroshi', 'felixpernegger', 'github-actions'] |
nobody |
3-27883 3 days ago |
3-29454 3 days ago |
3-29448 3 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 |
3-19764 3 days ago |
3-20583 3 days ago |
3-20646 3 days |
| 40494 |
bryangingechen author:bryangingechen |
ci: update SpliceBot action |
This bump should allow `splice-bot maintainer merge? <comments>` to work even on PRs that haven't merged `master` yet. (The core logic for that was moved into the `workflow_run` half of the action, which reads from `master` rather than the PR branch.)
---
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[](https://gitpod.io/from-referrer/)
|
CI |
2/2 |
.github/workflows/splice_bot.yaml,.github/workflows/splice_bot_wf_run.yaml |
2 |
1 |
['github-actions'] |
nobody |
3-9405 3 days ago |
3-9484 3 days ago |
3-9478 3 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'] |
mattrobball assignee:mattrobball |
3-9360 3 days ago |
43-11653 43 days ago |
153-23504 153 days |
| 37295 |
wwylele author:wwylele |
feat(Analysis/InnerProductSpace): generalized determinant of a rectangle matrix / linear map |
This is the volume factor of a linear map
---
I have encountered the expression `sqrt(det(T' * T))` a few times in various places but it doesn't look like it has a standard name and entry in mathlib, so this adds it.
Zulip thread [#Is there code for X? > (norm of) "determinant" of map between inner product spaces](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/.28norm.20of.29.20.22determinant.22.20of.20map.20between.20inner.20product.20spaces/with/581776873)
One motivation to define this is to state volume formula under transformations. From *Measure theory and fine properties of functions*:
- Lemma 3.1: for linear map $L : \mathbb{R}^n \to \mathbb{R}^m$, we have $\mathcal{H}^n(L(A)) = [ L ] \mathcal{L}^n(A)$. This is proved in this PR at `euclideanHausdorffMeasure_image_eq_normDet_mul_volume`
- Theorem 3.8, for (not necessarily linear) $f : \mathbb{R}^n \to \mathbb{R}^m$ ($n \le m$) and $\mathcal{L}^n$-measurable set $A \subset \mathbb{R}^n$, we have $\int_A J f dx = \int_{\mathbb{R}^m} \mathcal{H}^0(A \cap f\^{-1}\{y\}) d\mathcal{H}^n(y)$, where $J f$ is the `normDet` of the rectangular Jacobian matrix
AI usage disclosure: AI was used in the following parts
- searching for related literature for an appropriate name
- generate draft proofs for some lemma to verify their correctness, though the final code has been completely rewritten by me.
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[](https://gitpod.io/from-referrer/)
|
t-analysis |
474/0 |
Mathlib.lean,Mathlib/Analysis/InnerProductSpace/NormDet.lean,docs/references.bib |
3 |
21 |
['copilot-pull-request-reviewer', 'github-actions', 'j-loreaux', 'mathlib-dependent-issues', 'mathlib-splicebot', 'themathqueen', 'wwylele'] |
urkud assignee:urkud |
3-8954 3 days ago |
3-9762 3 days ago |
74-20022 74 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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- [x] depends on: #31219
- [x] depends on: #31696
[](https://gitpod.io/from-referrer/)
|
large-import
t-algebra
label:t-algebra$ |
49/0 |
Mathlib/Algebra/Module/FinitePresentation.lean |
1 |
5 |
['github-actions', 'mathlib-dependent-issues', 'mathlib4-merge-conflict-bot'] |
chrisflav assignee:chrisflav |
3-8328 3 days ago |
44-18788 44 days ago |
44-19048 44 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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[](https://gitpod.io/from-referrer/)
|
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 |
3-8327 3 days ago |
15-65695 15 days ago |
56-38162 56 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 |
3-8326 3 days ago |
37-86176 37 days ago |
38-531 38 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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[](https://gitpod.io/from-referrer/)
|
t-order |
43/0 |
Mathlib/Order/SuccPred/CompleteLinearOrder.lean |
1 |
6 |
['SnirBroshi', 'github-actions', 'vihdzp'] |
bryangingechen assignee:bryangingechen |
3-8325 3 days ago |
11-34337 11 days ago |
46-71128 46 days |
| 39239 |
alainchmt author:alainchmt |
feat(FieldTheory/Finite): irreducible polynomial divides X^q^n - X iff degree divides n |
---
Add the theorem saying that, for an irreducible polynomial `f` over a finite field `K`, the degree of `f` divides `n` if and only if `f` divides `X ^ (Nat.card K) ^ n - X`. Include auxiliary lemmas.
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[](https://gitpod.io/from-referrer/)
|
t-algebra
new-contributor
label:t-algebra$ |
34/0 |
Mathlib/FieldTheory/Finite/Extension.lean,Mathlib/FieldTheory/Minpoly/Field.lean |
2 |
2 |
['github-actions'] |
kim-em assignee:kim-em |
3-8324 3 days ago |
32-64994 32 days ago |
32-64988 32 days |
| 40029 |
vasnesterov author:vasnesterov |
feat(Analysis/Analytic): alternating geometric series |
* Define `geometricAlternatingSeries`: `1 - x + x ^ 2 - ...` as a `FormalMultilinearSeries`.
* Prove the same lemmas as for existing `formalMultilinearSeries_geometric`.
* Move the "Composition with a linear map" section above as it's needed to directly translate the results about `formalMultilinearSeries_geometric` to results about `geometricAlternatingSeries`.
---
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[](https://gitpod.io/from-referrer/)
|
t-analysis |
131/65 |
Mathlib/Analysis/Analytic/Constructions.lean |
1 |
1 |
['github-actions'] |
j-loreaux assignee:j-loreaux |
3-8323 3 days ago |
15-24283 15 days ago |
15-24277 15 days |
| 40067 |
yuanyi-350 author:yuanyi-350 |
refactor(Analysis): golf `Mathlib/Analysis/Analytic/Order` |
- refactors `AnalyticOnNhd.preimage_zero_mem_codiscreteWithin` to use `eqOn_zero_or_eventually_ne_zero_of_preconnected` directly
Extracted from #37968
[](https://gitpod.io/from-referrer/) |
codex
t-analysis
LLM-generated
|
3/8 |
Mathlib/Analysis/Analytic/Order.lean |
1 |
2 |
['github-actions', 'yuanyi-350'] |
j-loreaux assignee:j-loreaux |
3-8322 3 days ago |
13-72335 13 days ago |
13-72329 13 days |
| 40069 |
yuanyi-350 author:yuanyi-350 |
refactor(Analysis): golf `Mathlib/Analysis/Complex/UpperHalfPlane/MoebiusAction` |
- refactors `σ_mul` by simplifying the determinant sign split with `mul_pos_iff`
- rewrites `denom_cocycle'` as a direct consequence of `denom_cocycle`
Extracted from #37968
[](https://gitpod.io/from-referrer/) |
codex
t-analysis
LLM-generated
|
1/7 |
Mathlib/Analysis/Complex/UpperHalfPlane/MoebiusAction.lean |
1 |
2 |
['github-actions', 'yuanyi-350'] |
j-loreaux assignee:j-loreaux |
3-8321 3 days ago |
13-72331 13 days ago |
13-72325 13 days |
| 40070 |
yuanyi-350 author:yuanyi-350 |
refactor(Analysis): golf `Mathlib/Analysis/Complex/Isometry` |
- simplifies `LinearIsometry.im_apply_eq_im` by deriving real-part equality from the squared distance identity
Extracted from #37968
[](https://gitpod.io/from-referrer/) |
codex
t-analysis
LLM-generated
|
6/11 |
Mathlib/Analysis/Complex/Isometry.lean |
1 |
2 |
['github-actions', 'yuanyi-350'] |
j-loreaux assignee:j-loreaux |
3-8320 3 days ago |
13-72329 13 days ago |
13-72323 13 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 |
3-8318 3 days ago |
3-73877 3 days ago |
4-4473 4 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 |
3-8317 3 days ago |
3-84534 3 days ago |
3-84528 3 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 |
3-8314 3 days ago |
3-72170 3 days ago |
3-72164 3 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 |
3-856 3 days ago |
6-70560 6 days ago |
6-70554 6 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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|
t-algebra
t-category-theory
label:t-algebra$ |
149/0 |
Mathlib.lean,Mathlib/Algebra/Category/ModuleCat/ChangeOfRings.lean,Mathlib/Algebra/Category/ModuleCat/ChangeOfRingsExact.lean,Mathlib/Algebra/Category/ModuleCat/Ext/RingEquiv.lean |
4 |
31 |
['Thmoas-Guan', 'dagurtomas', 'github-actions', 'joelriou', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'mathlib4-merge-conflict-bot'] |
kim-em assignee:kim-em |
2-86321 2 days ago |
2-86323 2 days ago |
24-43869 24 days |
| 34909 |
SnirBroshi author:SnirBroshi |
feat(Data/Sym/Sym2): `fromRel` equivalence with `Sigma` over a `Quotient` |
Add a non-dependent recursor on members of a `fromRel` set, and the following `Equiv`s:
- The `fromRel` set of a symmetric relation `r` is equivalent to summing that set restricted to fibers of `f`.
- For a relation homomorphism `r →r r'` where `r` is symmetric, the `fromRel` set of `r` is equivalent to summing that set restricted to equivalence classes of `r'` using a `Subtype`.
---
I find this recursor pretty useful when dealing with `fromRel`, the idea came from a suggestion by @kmill [on Zulip](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Eq.2Erec.20with.20a.20constant.20does.20nothing.3A.20h.20.E2.96.B8.20c.20.3D.20c/near/565176948) for another `Sym2` conundrum.
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|
t-data
maintainer-merge
|
54/3 |
Mathlib/Combinatorics/SimpleGraph/Bipartite.lean,Mathlib/Data/Sym/Sym2.lean |
2 |
20 |
['SnirBroshi', 'bryangingechen', 'chrisflav', 'eric-wieser', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts'] |
eric-wieser assignee:eric-wieser |
2-86282 2 days ago |
3-1475 3 days ago |
101-62100 101 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 |
2-77085 2 days ago |
3-76624 3 days ago |
3-76618 3 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 |
2-73882 2 days ago |
2-74696 2 days ago |
17-37487 17 days |
| 40326 |
eric-wieser author:eric-wieser |
feat(Data/Multiset): add the Multiset version of `List.find?` |
This is often more convenient (and computationally more efficient) than using `Multiset.choose`, since it avoids us having to do a preliminary pass over the set to determine if any elements satisfy the predicate.
While it doesn't make any difference since `Finsupp` is (currently) noncomputable, we use this to implement `Finsupp.embDomain` more simply.
The motivation for this def is to efficiently define `DFinsupp.embDomain`.
---
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|
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 |
2-73732 2 days ago |
4-24033 4 days ago |
4-24957 4 days |
| 38500 |
kebekus author:kebekus |
feat: integral presentation of the proximity function of value distribution theory |
If `f : ℂ → ℂ` is meromorphic, establish a presentation of the proximity function `proximity f ⊤` as iterated circle averages. This statement can be used to compare the proximity- and logarithmic counting functions, and is one of the key ingredients in the proof of Cartan's classic formula for the characteristic function.
This is the first section of a multi-part PR, establishing Cartan's formula.
---
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|
t-analysis |
226/1 |
Mathlib.lean,Mathlib/Analysis/Complex/ValueDistribution/Proximity/IntegralPresentation.lean,Mathlib/Analysis/Meromorphic/Basic.lean,Mathlib/MeasureTheory/Integral/Bochner/Basic.lean,Mathlib/MeasureTheory/Integral/Prod.lean |
5 |
34 |
['github-actions', 'j-loreaux', 'kebekus', 'wwylele'] |
j-loreaux assignee:j-loreaux |
2-69886 2 days ago |
2-69886 2 days ago |
41-41264 41 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 |
2-66213 2 days ago |
3-55578 3 days ago |
3-55572 3 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 |
2-65575 2 days ago |
2-67502 2 days ago |
2-70697 2 days |
| 38766 |
yuanyi-350 author:yuanyi-350 |
chore(AlgebraicTopology/DoldKan/GammaCompN): remove an erw |
- rewrites `N₂Γ₂ToKaroubiIso_inv_app` with a single `simp` invocation on the relevant splitting definitions
Extracted from #38415
[](https://gitpod.io/from-referrer/) |
t-algebraic-topology
codex
LLM-generated
|
5/1 |
Mathlib/AlgebraicTopology/DoldKan/FunctorGamma.lean,Mathlib/AlgebraicTopology/DoldKan/GammaCompN.lean,Mathlib/AlgebraicTopology/SimplicialObject/Split.lean |
3 |
3 |
['dagurtomas', 'github-actions', 'yuanyi-350'] |
nobody |
2-64144 2 days ago |
2-64937 2 days ago |
3-6873 3 days |
| 40452 |
sgouezel author:sgouezel |
chore: fix non-reducible diamond in tensor product norms |
The following fails before the PR, succeeds after it:
```
example : (PiTensorProduct.instSeminormedAddCommGroup.toNorm : Norm (PiTensorProduct 𝕜 fun i => E i)) =
PiTensorProduct.instNorm := by
with_reducible_and_instances rfl
```
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tech debt
t-analysis
|
2/2 |
Mathlib/Analysis/Normed/Module/PiTensorProduct/InjectiveSeminorm.lean |
1 |
4 |
['github-actions', 'metakunt', 'sgouezel'] |
nobody |
2-60991 2 days ago |
3-72515 3 days ago |
3-72509 3 days |
| 39872 |
mkaratarakis author:mkaratarakis |
feat(RingTheory/Algebraic): add natDenominator API |
Add `AlgebraicDenominator.denominator` and `AlgebraicDenominator.natDenominator`,
characterizing denominators of algebraic elements as generators of a colon ideal and,
over `ℤ`, their absolute value as a natural-number denominator.
Part of the Gelfond–Schneider formalization; see #39873, #39875, and #39874.
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cc @tb65536 |
t-ring-theory |
68/0 |
Mathlib.lean,Mathlib/RingTheory/Algebraic/NatDenominator.lean |
2 |
2 |
['github-actions', 'tb65536'] |
nobody |
2-60848 2 days ago |
10-50340 10 days ago |
18-41859 18 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 |
2-57729 2 days ago |
2-58522 2 days ago |
2-58567 2 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 |
2-56477 2 days ago |
2-59143 2 days ago |
5-59415 5 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 |
2-55671 2 days ago |
2-56876 2 days ago |
19-85894 19 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 |
2-52040 2 days ago |
10-480 10 days ago |
10-3213 10 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 |
2-51961 2 days ago |
36-41032 36 days ago |
87-39442 87 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 |
14 |
['github-actions', 'j-loreaux', 'jessealama', 'themathqueen', 'wwylele'] |
themathqueen assignee:themathqueen |
2-51233 2 days ago |
2-57657 2 days ago |
47-63263 47 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 |
2-51019 2 days ago |
8-18164 8 days ago |
27-49652 27 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 |
2-51013 2 days ago |
2-51826 2 days ago |
7-35862 7 days |
| 39406 |
roos-j author:roos-j |
feat(Analysis): van der Corput's lemma |
Adds van der Corput's lemma on one-dimensional oscillatory integrals, a standard tool in harmonic analysis.
Co-authored-by: Manasa Praveen <Manasa_Praveen@student.uml.edu>
---
From https://github.com/roos-j/lean-oscillatory, see there for future plans
Zulip discussion [#mathlib4 > Oscillatory integrals in Lean](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Oscillatory.20integrals.20in.20Lean/with/584786060)
AI disclosure: The code in this PR was predominantly human-written. gpt-5.5 has helped in the later stages with shortening proofs, golfing and general advice.
|
t-analysis
new-contributor
|
568/0 |
Mathlib.lean,Mathlib/Analysis/Complex/Trigonometric.lean,Mathlib/Analysis/OscillatoryIntegrals/VanDerCorput.lean |
3 |
17 |
['github-actions', 'j-loreaux', 'mathlib-triage', 'roos-j'] |
j-loreaux assignee:j-loreaux |
2-50931 2 days ago |
2-51664 2 days ago |
27-33235 27 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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|
t-analysis |
14/0 |
Mathlib/Analysis/Meromorphic/Basic.lean |
1 |
5 |
['JonBannon', 'github-actions', 'themathqueen', 'wwylele'] |
ADedecker assignee:ADedecker |
2-48697 2 days ago |
15-31865 15 days ago |
19-43513 19 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 |
2-43247 2 days ago |
2-44129 2 days ago |
2-44696 2 days |
| 32983 |
JovanGerb author:JovanGerb |
feat: use `LE.le` for subset relation in `Set`, `Finset`, `PSet`, `ZFSet` |
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 |
2-39741 2 days ago |
2-43149 2 days ago |
28-15114 28 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 |
2-33418 2 days ago |
2-34372 2 days ago |
2-34398 2 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 |
2-32403 2 days ago |
12-36704 12 days ago |
12-38060 12 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 |
1/2 |
Mathlib/RingTheory/DedekindDomain/FiniteAdeleRing.lean |
1 |
1 |
['github-actions'] |
nobody |
2-27127 2 days ago |
2-28009 2 days ago |
2-28003 2 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 |
2-20163 2 days ago |
2-21404 2 days ago |
2-25558 2 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 |
2-19542 2 days ago |
2-20978 2 days ago |
2-21505 2 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 |
2-18484 2 days ago |
2-19153 2 days ago |
11-19191 11 days |
| 40522 |
JovanGerb author:JovanGerb |
chore: bump ProofWidgets version |
This PR bumps mathlib to the newest ProofWidgets version. It has minimized it's imports. Apparently, mathlib doesn't need any adaptations.
---
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|
dependency-bump
easy
|
1/1 |
lake-manifest.json |
1 |
3 |
['JovanGerb', 'github-actions', 'leanprover-radar'] |
nobody |
2-18160 2 days ago |
2-21779 2 days ago |
2-21773 2 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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[](https://gitpod.io/from-referrer/)
|
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 |
2-15772 2 days ago |
2-15772 2 days ago |
51-17374 51 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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[](https://gitpod.io/from-referrer/)
|
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 |
2-15742 2 days ago |
2-15742 2 days ago |
29-78013 29 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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[](https://gitpod.io/from-referrer/)
|
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 |
2-10451 2 days ago |
2-13434 2 days ago |
84-75246 84 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 |
2-10229 2 days ago |
54-14979 54 days ago |
54-15591 54 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'] |
nobody |
2-10225 2 days ago |
28-30069 28 days ago |
28-30063 28 days |
| 40526 |
CoolRmal author:CoolRmal |
feat: pointwise limit of a sequence of monotone functions is monotone |
Adds lemmas showing that the pointwise limit of a sequence of frequently monotone functions is monotone in an order-closed topology. It also adds the corresponding antitone variants via the order dual.
Created with a little bit help from codex :)
|
t-topology |
34/3 |
Mathlib/Topology/Order/OrderClosed.lean |
1 |
1 |
['github-actions'] |
nobody |
2-9997 2 days ago |
2-11890 2 days ago |
2-11991 2 days |
| 40529 |
chrisflav author:chrisflav |
feat(CategoryTheory/Sites): morphism property induced by precoverage |
We define the weakest morphism property satisfied by all morphisms in covering families of a given precoverage. This provides a left-adjoint to the existing `Precoverage.morphismProperty`. This is useful when talking about morphism properties local on the source.
---
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[](https://gitpod.io/from-referrer/)
|
t-category-theory |
58/1 |
Mathlib/CategoryTheory/Sites/MorphismProperty.lean |
1 |
1 |
['github-actions'] |
nobody |
2-8170 2 days ago |
2-9120 2 days ago |
2-9114 2 days |
| 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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[](https://gitpod.io/from-referrer/)
|
t-category-theory |
155/4 |
Mathlib/CategoryTheory/Sites/CoproductSheafCondition.lean,Mathlib/CategoryTheory/Sites/Hypercover/Zero.lean,Mathlib/CategoryTheory/Sites/IsSheafFor.lean,Mathlib/CategoryTheory/Sites/Sieves.lean |
4 |
1 |
['github-actions'] |
nobody |
2-8162 2 days ago |
2-8981 2 days ago |
2-9379 2 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 |
2-8134 2 days ago |
48-17148 48 days ago |
58-50155 58 days |
| 37350 |
aditya-ramabadran author:aditya-ramabadran |
feat(Analysis/Distribution): define canonical maps between Schwartz/test functions, distributions/tempered distributions |
Defines these canonical maps: (1) continuous linear map from $\mathcal D$ to $\mathcal S$, and (2) induced (linear) restriction map from $\mathcal S'$ to $\mathcal D'$, as assigned by @ADedecker.
---
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Put in a separate file since Distribution.lean only imports TestFunction right now and I thought it was cleaner to do in a new bridge file with both the maps. Open to changing this though.
* Made use of #36445 (proved first map locally on fixed support spaces first by local seminorm estimates, then used limitCLM)
* Needed a real to complex bridge `TestFunction.ToComplexSchwartzMap` since distributions are defined on real-valued test functions but tempered distributions in mathlib are defined on complex-valued Schwartz functions
* Induced map $\mathcal S'(E,F) \to \mathcal D'(Ω,F)$ is $\mathbb C$-linear
The main important defs are `ContDiffMapSupportedIn.toSchwartzMapCLM` which is the local fixed-support part, then `TestFunction.toSchwartzMapCLM` (where the continuity uses limitCLM to glue the local continuous linear maps on each $\mathcal D_K$), and `TemperedDistribution.toDistributionLM` which is the linear map from tempered distributions to ordinary distributions.
Tested with `lake env lean Mathlib/Analysis/Distribution/TestFunctionSchwartz.lean`
[](https://gitpod.io/from-referrer/)
|
t-analysis
new-contributor
|
225/0 |
Mathlib.lean,Mathlib/Analysis/Distribution/TestFunctionSchwartz.lean |
2 |
25 |
['aditya-ramabadran', 'github-actions', 'j-loreaux', 'mcdoll'] |
YaelDillies assignee:YaelDillies |
2-8132 2 days ago |
34-45034 34 days ago |
66-45324 66 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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[](https://gitpod.io/from-referrer/)
|
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 |
2-8131 2 days ago |
19-38801 19 days ago |
50-14188 50 days |
| 39994 |
Brian-Nugent author:Brian-Nugent |
feat(CategoryTheory): Functors that preserve the terminal object are Final |
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[](https://gitpod.io/from-referrer/)
|
t-category-theory |
20/1 |
Mathlib/CategoryTheory/Limits/Final.lean,Mathlib/CategoryTheory/Sites/CoproductSheafCondition.lean |
2 |
3 |
['Brian-Nugent', 'github-actions', 'joelriou'] |
robin-carlier assignee:robin-carlier |
2-8129 2 days ago |
9-17940 9 days ago |
15-39010 15 days |
| 40092 |
korbonits author:korbonits |
feat(Topology/Connected): path-connectedness of products and pi types |
# Disclaimer
Following https://leanprover-community.github.io/contribute/index.html, I wanted to make a simple contribution to point set topology given some of the very welcoming Zulip mathematicians. I used Claude Code to plan, review, and test some example definitions before raising this PR. I'm using this as a way to make meaningful contributions to mathlib4 as I learn Lean. Background: mathematics and a decade+ in ML engineering/applied science.
# Description
Add path-connectedness of binary products and dependent products (pi types):
- `JoinedIn.prod`, `IsPathConnected.prod`, and `instance Prod.instPathConnectedSpace : PathConnectedSpace (X × Y)`
- `JoinedIn.pi`, `IsPathConnected.pi`, and `instance Pi.instPathConnectedSpace : PathConnectedSpace (∀ i, Z i)`
These instances were previously missing — `inferInstance` failed for both `PathConnectedSpace (X × Y)` and `PathConnectedSpace ((i : ι) → Z i)`. They were suggested as good first contributions on Zulip.
The analogous `LocPathConnectedSpace` / `LocallyConnectedSpace` product and pi instances (and further `connectedComponent` / `pathComponent` product lemmas) are left for follow-up PRs.
|
t-topology
LLM-generated
new-contributor
|
59/0 |
Mathlib/Topology/Connected/PathConnected.lean |
1 |
3 |
['github-actions', 'korbonits'] |
PatrickMassot assignee:PatrickMassot |
2-8128 2 days ago |
12-81513 12 days ago |
12-82555 12 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 |
2-8128 2 days ago |
3-7010 3 days ago |
3-7004 3 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 |
1-79547 1 day ago |
5-4176 5 days ago |
6-64742 6 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'] |
dwrensha and thorimur assignee:dwrensha assignee:thorimur |
1-77779 1 day ago |
19-26738 19 days ago |
19-26732 19 days |
| 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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[](https://gitpod.io/from-referrer/)
|
t-algebra
t-order
label:t-algebra$ |
144/322 |
Counterexamples/HomogeneousPrimeNotPrime.lean,Counterexamples/OrderedCancelAddCommMonoidWithBounds.lean,Mathlib/Algebra/Group/Subgroup/Order.lean,Mathlib/Algebra/Group/ULift.lean,Mathlib/Algebra/Module/ZLattice/Basic.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/Data/Rat/Defs.lean,Mathlib/Data/Rat/Lemmas.lean,Mathlib/LinearAlgebra/Matrix/Irreducible/Defs.lean,Mathlib/MeasureTheory/Function/LpOrder.lean,Mathlib/MeasureTheory/Measure/Typeclasses/Finite.lean,Mathlib/NumberTheory/DiophantineApproximation/Basic.lean,Mathlib/NumberTheory/PythagoreanTriples.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 |
55 |
14 |
['NoahW314', 'SnirBroshi', 'Vierkantor', 'github-actions', 'mathlib-merge-conflicts'] |
Vierkantor assignee:Vierkantor |
1-75918 1 day ago |
1-79090 1 day ago |
61-74519 61 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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[](https://gitpod.io/from-referrer/)
|
|
44/36 |
Mathlib/NumberTheory/NumberField/AdeleRing.lean,Mathlib/NumberTheory/NumberField/InfiniteAdeleRing.lean,Mathlib/RingTheory/DedekindDomain/FiniteAdeleRing.lean |
3 |
1 |
['github-actions'] |
nobody |
1-71197 1 day ago |
1-72053 1 day ago |
1-72047 1 day |
| 40511 |
ocfnash author:ocfnash |
feat: define the closed unit disc in the complex numbers |
The API is a minimally-edited copy-paste of that which already exists for `Complex.UnitDisc`.
Upstreaming this from https://alexkontorovich.github.io/CoveringSpacesProject/web/ where it is called `Complex.disk`.
Co-authored-by: AlexKontorovich <58564076+AlexKontorovich@users.noreply.github.com>
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[](https://gitpod.io/from-referrer/)
|
t-analysis |
246/29 |
Mathlib/Analysis/Complex/UnitDisc/Basic.lean,Mathlib/Analysis/Normed/Field/UnitBall.lean |
2 |
4 |
['b-mehta', 'github-actions', 'ocfnash'] |
nobody |
1-70674 1 day ago |
2-34342 2 days ago |
2-34336 2 days |
| 40524 |
ocfnash author:ocfnash |
feat: API for collapsing subsets |
There are several related Zulip threads as follows:
- [Jun 2026](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Collapsing.20a.20subset/with/602265806)
- [Dec 2023](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/Equivalence.20Relation.20associated.20to.20a.20subset/near/409633101)
- [Jun 2023](https://leanprover.zulipchat.com/#narrow/channel/217875-Is-there-code-for-X.3F/topic/setoid.20.22glue.20this.20set.20into.20a.20pt.22/near/368646017)
Co-authored-by: Kyle Miller <kymiller@ucsc.edu>
Co-authored-by: Yury G. Kudryashov <188813+urkud@users.noreply.github.com>
---
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|
t-data |
110/0 |
Mathlib.lean,Mathlib/Data/Set/Collapse.lean |
2 |
1 |
['github-actions'] |
nobody |
1-70486 1 day ago |
1-71293 1 day ago |
1-71982 1 day |
| 39900 |
yuanyi-350 author:yuanyi-350 |
refactor(Analysis): golf `Mathlib/Analysis/SpecialFunctions/Gaussian/GaussianIntegral` |
- refactors `Gaussian/GaussianIntegral` by proving `integral_gaussian_complex_Ioi` using `integral_comp_neg_Ioi`
Extracted from #37968
[](https://gitpod.io/from-referrer/) |
codex
t-analysis
LLM-generated
|
9/20 |
Mathlib/Analysis/SpecialFunctions/Gaussian/GaussianIntegral.lean |
1 |
4 |
['github-actions', 'j-loreaux', 'yuanyi-350'] |
j-loreaux assignee:j-loreaux |
1-64325 1 day ago |
1-64326 1 day ago |
15-51377 15 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 |
1 |
['github-actions'] |
nobody |
1-62753 1 day ago |
8-47756 8 days ago |
8-50972 8 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 |
1-62538 1 day ago |
1-63473 1 day ago |
1-64421 1 day |
| 39899 |
yuanyi-350 author:yuanyi-350 |
refactor(Analysis): golf `Mathlib/Analysis/Normed/Unbundled/FiniteExtension` |
- refactors `Normed/Unbundled/FiniteExtension` by proving `Basis.norm_smul` via `Finset.mul₀_sup'`
Extracted from #37968
[](https://gitpod.io/from-referrer/) |
codex
t-analysis
LLM-generated
|
4/15 |
Mathlib/Analysis/Normed/Unbundled/FiniteExtension.lean |
1 |
3 |
['github-actions', 'j-loreaux', 'yuanyi-350'] |
j-loreaux assignee:j-loreaux |
1-62395 1 day ago |
1-63213 1 day ago |
15-50570 15 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 |
1-58006 1 day ago |
1-61558 1 day ago |
2-55560 2 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 |
185/42 |
Mathlib/Tactic/Linter/FlexibleLinter.lean,MathlibTest/Linter/Flexible/Basic.lean,MathlibTest/Linter/Flexible/ImportHeavy.lean |
3 |
22 |
['b-mehta', 'chenson2018', 'github-actions', 'grunweg', 'joneugster', 'mathlib-merge-conflicts', 'scholzhannah', 'thorimur'] |
grunweg, joneugster, thorimur assignee:joneugster assignee:grunweg assignee:thorimur |
1-57267 1 day ago |
2-41862 2 days ago |
14-49430 14 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 |
64/10 |
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 |
16 |
['8e7', 'Rida-Hamadani', 'SnirBroshi', 'github-actions', 'mathlib-merge-conflicts', 'vlad902'] |
nobody |
1-56940 1 day ago |
14-53961 14 days ago |
46-72011 46 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 |
55/0 |
Mathlib/Geometry/Manifold/Immersion.lean,Mathlib/Geometry/Manifold/SmoothEmbedding.lean |
2 |
8 |
['chrisflav', 'github-actions', 'grunweg'] |
nobody |
1-56032 1 day ago |
1-56763 1 day ago |
2-44328 2 days |
| 37930 |
vlad902 author:vlad902 |
chore(SimpleGraph): move `cycleGraph` to its own file |
PR #34797 re-defined `cycleGraph` independent of `circulantGraph`. Now move the definition of `cycleGraph` to its own file so that the definition can be used without importing the algebra hierarchy.
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|
t-combinatorics |
171/146 |
Mathlib.lean,Mathlib/Combinatorics/SimpleGraph/Circulant.lean,Mathlib/Combinatorics/SimpleGraph/Cycle.lean |
3 |
3 |
['github-actions', 'mathlib-merge-conflicts'] |
nobody |
1-55823 1 day ago |
1-56631 1 day ago |
44-26037 44 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 |
96/12 |
Mathlib/AlgebraicGeometry/AffineTransitionLimit.lean |
1 |
1 |
['github-actions'] |
nobody |
1-51642 1 day ago |
1-52563 1 day ago |
1-52557 1 day |
| 38086 |
dagurtomas author:dagurtomas |
feat(CategoryTheory): composition of profunctors |
---
- [x] depends on: #38085
- [x] depends on: #38382
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|
t-category-theory |
363/2 |
Mathlib.lean,Mathlib/CategoryTheory/Profunctor/Basic.lean,Mathlib/CategoryTheory/Profunctor/Comp.lean,Mathlib/Logic/Relation.lean |
4 |
16 |
['adamtopaz', 'dagurtomas', 'github-actions', 'mathlib-dependent-issues', 'robin-carlier'] |
robin-carlier assignee:robin-carlier |
1-47554 1 day ago |
1-48429 1 day ago |
29-19467 29 days |
| 40449 |
Yu-Misaka author:Yu-Misaka |
feat(LinearAlgebra): preliminary APIs for symplectic matrices |
Greetings! This PR attempts to provide some basic APIs for #40352. Involving `Matrix.mulVec_apply`, `Matrix.IsSymm.lift`, `Matrix.J_map` and `SymplecticGroup.map_mem`.
Honestly I'm not sure if, for example, `Matrix.mulVec_apply` exists somewhere else in the library (I tried my best but didn't find it)
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t-algebra label:t-algebra$ |
31/0 |
Mathlib/Data/Matrix/Mul.lean,Mathlib/LinearAlgebra/Matrix/Symmetric.lean,Mathlib/LinearAlgebra/SymplecticGroup.lean |
3 |
13 |
['Yu-Misaka', 'github-actions', 'themathqueen', 'wwylele'] |
nobody |
1-46598 1 day ago |
3-76237 3 days ago |
3-76231 3 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
|
144/1 |
Mathlib/RingTheory/MvPowerSeries/GaussNorm.lean |
1 |
21 |
['WilliamCoram', 'fbarroero', 'github-actions', 'riccardobrasca'] |
riccardobrasca assignee:riccardobrasca |
1-46402 1 day ago |
60-38869 60 days ago |
60-38863 60 days |
| 40491 |
zw810-ctrl author:zw810-ctrl |
feat(Algebra): range_prodMap for MonoidHom, RingHom, AlgHom |
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t-algebra
new-contributor
label:t-algebra$ |
35/1 |
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 |
13 |
['eric-wieser', 'github-actions', 'themathqueen', 'zw810-ctrl'] |
nobody |
1-43798 1 day ago |
3-761 3 days ago |
3-4133 3 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 |
3 |
['SnirBroshi', 'github-actions', 'tb65536'] |
nobody |
1-40405 1 day ago |
1-41195 1 day ago |
1-84155 1 day |
| 40516 |
j-loreaux author:j-loreaux |
feat: conditions for commuting with a unitary element |
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|
t-algebra
easy
label:t-algebra$ |
21/0 |
Mathlib/Algebra/Group/Submonoid/Basic.lean,Mathlib/Algebra/Star/Unitary.lean |
2 |
6 |
['github-actions', 'j-loreaux', 'themathqueen'] |
nobody |
1-38671 1 day ago |
1-41327 1 day ago |
1-80057 1 day |
| 40555 |
riccardobrasca author:riccardobrasca |
feat: add lemmas about primitive roots |
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|
21/0 |
Mathlib/NumberTheory/NumberField/Units/Basic.lean,Mathlib/RingTheory/RootsOfUnity/CyclotomicUnits.lean,Mathlib/RingTheory/RootsOfUnity/PrimitiveRoots.lean |
3 |
1 |
['github-actions'] |
nobody |
1-36621 1 day ago |
1-37551 1 day ago |
1-37545 1 day |
| 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 |
1-35928 1 day ago |
1-43978 1 day ago |
1-43972 1 day |
| 40556 |
chrisflav author:chrisflav |
chore(CategoryTheory): generalise `Comma.initial_fst` and `Comma.isCofiltered_of_initial` |
We replace the `Functor.Initial L` assumption in `Comma.initial_fst` and `Comma.isCofiltered_of_initial` by the assumption that `CostructuredArrow L (R.obj b)` is cofiltered for all `b` (`L.Initial` corresponds to all `CostructuredArrow L t` being cofiltered). We also provide the dual versions.
We also give a new proof for `Comma.initial_snd`, only assuming connectedness of certain `CostructuredArrow` categories, by transporting along an adjunction.
From Proetale and then subsequently cleaned up and generalised by Claude Fable 5. This generalisation is used in a follow-up PR to show that morphisms between cofiltered limits where the components of the target are finitely presented can be written as a cofiltered limit of morphisms.
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|
t-category-theory
LLM-generated
|
144/89 |
Mathlib/CategoryTheory/Comma/Final.lean,Mathlib/CategoryTheory/Comma/StructuredArrow/Basic.lean,Mathlib/CategoryTheory/Filtered/Final.lean,Mathlib/CategoryTheory/Limits/Indization/Category.lean |
4 |
1 |
['github-actions'] |
nobody |
1-32431 1 day ago |
1-33282 1 day ago |
1-34006 1 day |
| 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 |
412/8 |
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 |
10 |
['felixpernegger', 'github-actions'] |
nobody |
1-29421 1 day ago |
1-76815 1 day ago |
1-76809 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 |
1-25686 1 day ago |
1-53959 1 day ago |
64-54137 64 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 |
21 |
['github-actions', 'j-loreaux', 'leanprover-radar', 'mathlib-dependent-issues', 'mathlib-merge-conflicts'] |
nobody |
1-24501 1 day ago |
2-28428 2 days ago |
2-31389 2 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 |
1-24407 1 day ago |
1-28953 1 day ago |
1-82244 1 day |
| 40450 |
mcdoll author:mcdoll |
feat(MeasureTheory): use `Is*Apply` for `VectorMeasure` |
Add `FunLike` and `IsApply` instances for `VectorMeasure`, also add a `coe_mk` `simp` lemma.
---
I don't know what is the most convenient form for the `apply` lemmas for `dirac` etc. They are not consistent currently.
We have a lot of `_root_.foo_apply` since `Measure` has not been converted yet
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t-measure-probability |
107/102 |
Mathlib/MeasureTheory/VectorMeasure/Basic.lean,Mathlib/MeasureTheory/VectorMeasure/BoundedVariation.lean,Mathlib/MeasureTheory/VectorMeasure/Decomposition/Hahn.lean,Mathlib/MeasureTheory/VectorMeasure/Decomposition/Jordan.lean,Mathlib/MeasureTheory/VectorMeasure/Decomposition/Lebesgue.lean,Mathlib/MeasureTheory/VectorMeasure/Decomposition/RadonNikodym.lean,Mathlib/MeasureTheory/VectorMeasure/Integral.lean,Mathlib/MeasureTheory/VectorMeasure/Variation/Basic.lean,Mathlib/MeasureTheory/VectorMeasure/WithDensity.lean |
9 |
2 |
['github-actions', 'mathlib-dependent-issues'] |
kex-y assignee:kex-y |
1-24156 1 day ago |
1-29093 1 day ago |
2-28742 2 days |
| 34728 |
j-loreaux author:j-loreaux |
feat: continuous linear equivalence between continuous `ℝ`- and `𝕜`-linear functionals (in either the strong or weak-⋆ topologies) |
This realizes the map `StrongDual.extendRCLikeₗ`, after pre- and post-composing so that it is an equivalence between the weak duals, as a *continuous* linear equivalence.
In addition, when the space is a topological vector space, we realize `StrongDual.extendRCLikeₗ` as a *continuous* linear equivalence between the strong duals.
---
- [x] depends on: #34543
The placement in `Analysis/Normed/Module/WeakDual` seems suboptimal because this has nothing to do with the norm. This is because `WeakDual.toStrongDual` is already in this file, which should probably be moved to `Topology/Algebra/Module/WeakDual`. However, even if that moves, the declarations added in this PR cannot easily go with it because they involve `RCLike`. Potentially, they could move to `Analysis/RCLike/Extend` if that file gained the `Topology/Algebra/Module/WeakDual` import.
---
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t-analysis |
106/4 |
Mathlib/Analysis/Normed/Module/RCLike/Extend.lean,Mathlib/Analysis/Normed/Module/WeakDual.lean,Mathlib/Analysis/RCLike/Extend.lean |
3 |
21 |
['ADedecker', 'github-actions', 'j-loreaux', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'themathqueen'] |
urkud assignee:urkud |
1-20928 1 day ago |
1-21783 1 day ago |
45-16239 45 days |
| 40563 |
eric-wieser author:eric-wieser |
feat: missing instances for RingCon |
This adds all the missing commutative instances, as well as instances for when only the additive or multiplicative structure is lawful.
---
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t-ring-theory |
79/0 |
Mathlib/RingTheory/Congruence/Defs.lean |
1 |
1 |
['github-actions'] |
nobody |
1-18913 1 day ago |
1-21091 1 day ago |
1-21085 1 day |
| 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 |
27/0 |
Mathlib/Analysis/Meromorphic/Order.lean |
1 |
3 |
['felixpernegger', 'github-actions'] |
nobody |
1-10346 1 day ago |
1-50898 1 day ago |
1-50892 1 day |
| 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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|
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'] |
nobody |
1-10229 1 day ago |
45-21971 45 days ago |
92-355 92 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'] |
nobody |
1-10228 1 day ago |
39-17415 39 days ago |
39-17409 39 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 |
1-9270 1 day ago |
25-39007 25 days ago |
25-39001 25 days |
| 40496 |
thefundamentaltheor3m author:thefundamentaltheor3m |
feat(LinearAlgebra/AffineSpace/Simplex): Define the surface of a simplex |
---
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[](https://gitpod.io/from-referrer/)
|
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 |
1-8957 1 day ago |
1-9803 1 day ago |
1-9875 1 day |
| 40479 |
thefundamentaltheor3m author:thefundamentaltheor3m |
feat(LinearAlgebra/AffineSpace/Simplex/Standard): Define the standard $n$-simplex as an `Affine.Simplex` |
In this PR, we define a basis-dependent construction of an affine simplex, using which we define the standard $n$-simplex in `Fin n → k` in terms of `Pi.basisFun`.
The main constructions are `Affine.Simplex.mkOfAffineBasis` and `Affine.Simplex.mkOfBasis`. The former constructs a simplex from any affine basis of an affine space and the latter constructs an affine simplex in a vector space viewed as an affine space. We then relate the construction to `stdSimplex`, defined in `Analysis.Convex.StdSimplex`.
---
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[](https://gitpod.io/from-referrer/)
|
LLM-generated
new-contributor
|
199/0 |
Mathlib.lean,Mathlib/LinearAlgebra/AffineSpace/Basis.lean,Mathlib/LinearAlgebra/AffineSpace/Simplex/Standard.lean,Mathlib/Tactic/Linter/DirectoryDependency.lean |
4 |
3 |
['github-actions', 'wwylele'] |
nobody |
1-8396 1 day ago |
1-21829 1 day ago |
1-21823 1 day |
| 34278 |
gasparattila author:gasparattila |
feat(Topology/Sets): connectedness of `NonemptyCompacts` |
---
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[](https://gitpod.io/from-referrer/)
|
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 |
1-8353 1 day ago |
12-66386 12 days ago |
12-67574 12 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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[](https://gitpod.io/from-referrer/)
|
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 |
1-8352 1 day ago |
12-45144 12 days ago |
55-6010 55 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'] |
dagurtomas assignee:dagurtomas |
1-8351 1 day ago |
32-28984 32 days ago |
32-28978 32 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
|
28/0 |
Mathlib/GroupTheory/FinitelyPresentedGroup.lean |
1 |
6 |
['github-actions', 'homeowmorphism', 'j-mayoral', 'tb65536'] |
tb65536 assignee:tb65536 |
1-8349 1 day ago |
6-60225 6 days ago |
6-60219 6 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
|
992/7 |
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 |
2 |
['github-actions'] |
nobody |
1-8269 1 day ago |
1-22137 1 day ago |
1-22436 1 day |
| 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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[](https://gitpod.io/from-referrer/)
|
t-topology |
24/0 |
Mathlib/Topology/Order/LeftRightNhds.lean |
1 |
2 |
['github-actions'] |
nobody |
1-4867 1 day ago |
2-20605 2 days ago |
2-20599 2 days |
| 40560 |
eric-wieser author:eric-wieser |
feat: tag map_mono and comap_mono with gcongr |
---
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[](https://gitpod.io/from-referrer/)
|
easy
maintainer-merge
|
20/2 |
Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean,Mathlib/Algebra/Algebra/Subalgebra/Basic.lean,Mathlib/Algebra/Group/Subgroup/Map.lean,Mathlib/Algebra/Star/NonUnitalSubalgebra.lean,Mathlib/Algebra/Star/Subalgebra.lean,Mathlib/CategoryTheory/Groupoid/Subgroupoid.lean,Mathlib/Combinatorics/SimpleGraph/Maps.lean,Mathlib/Data/Multiset/MapFold.lean,Mathlib/FieldTheory/IntermediateField/Basic.lean,Mathlib/GroupTheory/FiniteIndexNormalSubgroup.lean,Mathlib/LinearAlgebra/AffineSpace/AffineSubspace/Basic.lean,Mathlib/MeasureTheory/MeasurableSpace/Basic.lean,Mathlib/RingTheory/Congruence/Basic.lean,Mathlib/RingTheory/Ideal/Maps.lean,Mathlib/Topology/Sets/Opens.lean |
15 |
2 |
['YaelDillies', 'github-actions'] |
nobody |
0-78860 21 hours ago |
1-27756 1 day ago |
1-27750 1 day |
| 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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[](https://gitpod.io/from-referrer/)
|
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 |
0-78565 21 hours ago |
0-81986 22 hours ago |
17-14241 17 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 |
0-78208 21 hours ago |
0-79800 22 hours ago |
7-14043 7 days |
| 40456 |
YaelDillies author:YaelDillies |
chore(Algebra): use `Even.pow_of_ne_zero` |
Also use `Even.pow_of_ne_zero` wherever possible.
From APAP
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|
maintainer-merge
t-algebra
label:t-algebra$ |
2/2 |
Mathlib/NumberTheory/Fermat.lean |
1 |
9 |
['YaelDillies', 'eric-wieser', 'github-actions', 'themathqueen'] |
nobody |
0-76607 21 hours ago |
3-64838 3 days ago |
3-64832 3 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 |
0-76596 21 hours ago |
44-7140 44 days ago |
63-41567 63 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 |
66 |
['Vierkantor', 'YaelDillies', 'alreadydone', 'github-actions', 'kckennylau', 'mathlib4-dependent-issues-bot', 'mathlib4-merge-conflict-bot', 'vihdzp', 'wwylele'] |
nobody |
0-75544 20 hours ago |
7-31366 7 days ago |
36-58871 36 days |
| 37344 |
vihdzp author:vihdzp |
feat: monotone function `Cardinal → α` is eventually constant |
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[](https://gitpod.io/from-referrer/)
|
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 |
0-72252 20 hours ago |
16-39208 16 days ago |
27-3372 27 days |
| 38584 |
TJHeeringa author:TJHeeringa |
feat(Analysis/InnerProductSpace/Reproducing): Add outerKernel, mem_iff |
---
Adds the `outerKernel` definition and the theorem `mem_iff`. These are needed for proving statements involving embeddings of RKHS.
I can split `mem_of_posSemidef` and `mem_iff` off into a different pull request if that is preferred.
The theorems `mem_of_posSemidef` and `posSemidef_of_mem` are the two directions of `mem_iff`. `posSemidef_of_mem` is slightly stronger than the converse direction of `mem_iff` in the sense that it also specifies the constant `c` in the statement. The specified `c` is in fact the smallest possible `c` for which the statement holds.
The statement `mem_of_posSemidef` proves `∃ (g : H), (g : X → V) = f`. We could instead write `f ∈ (coeCLM 𝕜 (H:=H)).range`. Making this change would require the addition of the line `simp only [LinearMap.mem_range, coe_coe, coeCLM_apply]` in the beginning of the proof. The full beginning is then
```
lemma mem_of_posSemidef (f : X → V) {c : ℝ}
(hc : ((c : 𝕜) ^ 2 • kernel H - outerKernel 𝕜 f).PosSemidef) : f ∈ (coeCLM 𝕜 (H:=H)).range := by
simp only [LinearMap.mem_range, coe_coe, coeCLM_apply]
let Laux : ...
```
Making a `MemRKHS` like MemLp and MemSobolev and then writing `MemRKHS H f` is also an option. Happy to change it to whatever is preferred.
The proof of `mem_of_posSemidef` is based on the idea that any function f in the RKHS satisfies `<f,\sum_n K(\cdot,x_n)v_n>=\sum_{n} <f(x_n),v_n>` for `x_n\in X` and `v_n\in V` by the reproducing property. We define the operator L(\sum_n K(\cdot,x_n)v_n) = \sum_{n} <f(x_n),v_n>. This is bounded by the condition based on the kernels, and thus extends to a bounded linear operator on the RKHS. Its Riesz' representer agrees pointwise with f.
AI:
When asking how to avoid Classical.choose in constructing the operator L, Claude suggested the approach of going through the quotient. I made the proof using Claude as supplementary Loogle. Afterwards, I asked it to help shorted the proofs. Some suggestions for `mem_of_posSemidef` were applied. The other suggestions were not helping or not correct.
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|
t-analysis
new-contributor
|
144/3 |
Mathlib/Analysis/InnerProductSpace/Reproducing.lean |
1 |
15 |
['TJHeeringa', 'github-actions', 'j-loreaux', 'themathqueen'] |
j-loreaux assignee:j-loreaux |
0-72061 20 hours ago |
0-72061 20 hours ago |
22-74663 22 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 |
0-69257 19 hours ago |
3-40646 3 days ago |
3-40750 3 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 |
0-67908 18 hours ago |
1-51535 1 day ago |
1-51565 1 day |
| 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 |
10/0 |
Mathlib/RingTheory/PowerSeries/Substitution.lean |
1 |
1 |
['github-actions'] |
nobody |
0-67595 18 hours ago |
0-68466 19 hours ago |
0-68460 19 hours |
| 40500 |
YaelDillies author:YaelDillies |
feat: correspondence between affine group schemes and Hopf algebras |
Construct `Spec` as a functor from `R`-Hopf algebras to group schemes over `Spec R`, show it is full and faithful and has affine group schemes as essential image.
From Toric, FLT
Co-authored-by: Andrew Yang <the.erd.one@gmail.com>
Co-authored-by: Michał Mrugała <kiolterino@gmail.com>
Co-authored-by: Christian Merten <christian@merten.dev>
---
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[](https://gitpod.io/from-referrer/)
|
t-algebraic-geometry
toric
FLT
|
548/0 |
Mathlib.lean,Mathlib/AlgebraicGeometry/Group/Affine.lean,Mathlib/RingTheory/Bialgebra/TensorProduct.lean,Mathlib/RingTheory/TensorProduct/Maps.lean |
4 |
12 |
['YaelDillies', 'github-actions', 'riccardobrasca'] |
riccardobrasca assignee:riccardobrasca |
0-65409 18 hours ago |
2-59214 2 days ago |
2-61284 2 days |
| 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 |
5 |
['github-actions', 'tb65536', 'xroblot'] |
nobody |
0-64996 18 hours ago |
0-66237 18 hours ago |
6-26244 6 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 |
213/0 |
Mathlib.lean,Mathlib/NumberTheory/AKSPrimality/Introspective.lean |
2 |
26 |
['github-actions', 'metakunt', 'tb65536'] |
tb65536 assignee:tb65536 |
0-63009 17 hours ago |
0-63009 17 hours ago |
12-28048 12 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 |
0-60640 16 hours ago |
1-36377 1 day ago |
1-36371 1 day |
| 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
label:t-algebra$ |
41/0 |
Mathlib/Algebra/Order/Group/End.lean,Mathlib/Data/FunLike/IsApply.lean |
2 |
20 |
['eric-wieser', 'github-actions', 'j-loreaux', 'themathqueen'] |
nobody |
0-60405 16 hours ago |
1-17914 1 day ago |
1-62369 1 day |
| 40517 |
j-loreaux author:j-loreaux |
feat: expand API for `StarAlgEquiv` |
This PR adds API for `StarAlgEquiv`. It provides:
+ `StarAlgEquiv.toNonUnitalStarAlgHom`
+ `StarAlgEquiv.toStarAlgHom`
+ `StarAlgEquiv.arrowCongr'` (non-unital morphisms)
+ `StarAlgEquiv.arrowCongr` (unital morphisms)
+ `StarAlgEquiv.ofNonUnitalStarAlgHom` (non-unital morphisms)
+ `StarAlgEquiv.ofStarAlgHom` (unital morphisms); this was pre-existing, but used morphism classes instead of actual morphisms. This PR fixes that.
It also generalizes the type class hypothesis in `StarAlgEquiv.restrictScalars` so that it applies to non-unital algebras.
In addition, `StarAlgEquiv.refl` is protected and its type arguments made explicit.
---
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t-algebra label:t-algebra$ |
221/29 |
Mathlib/Algebra/Star/StarAlgHom.lean,Mathlib/Algebra/Star/Subalgebra.lean,Mathlib/Analysis/InnerProductSpace/Adjoint.lean |
3 |
10 |
['SnirBroshi', 'github-actions', 'j-loreaux', 'themathqueen'] |
nobody |
0-56261 15 hours ago |
1-38897 1 day ago |
2-22648 2 days |
| 38669 |
dannyply author:dannyply |
feat(Topology/Algebra/PontryaginDual): prove compact monoids have discrete duals |
Proves that the Pontryagin dual of a compact monoid is discrete. As a consequence, it also adds the corresponding finite-type instances for compact discrete monoids.
This upstreams a result first added downstream in [`YaelDillies/APAP`](https://github.com/YaelDillies/APAP), where this fact was needed to close a `sorry`. The proof separates the trivial character from all the others using the right half of the circle and adds a few reusable `Circle` helper lemmas near the existing related API.
The original APAP proof was AI-assisted and then reviewed/rewritten during downstream review. For this PR, I used Codex to help adapt the APAP proof to mathlib and to refactor the supporting lemmas.
---
[](https://gitpod.io/from-referrer/) |
t-topology
new-contributor
|
141/20 |
Mathlib/Analysis/SpecialFunctions/Complex/Circle.lean,Mathlib/Topology/Algebra/PontryaginDual.lean,Mathlib/Topology/MetricSpace/Pseudo/Defs.lean |
3 |
41 |
['dannyply', 'github-actions', 'j-loreaux', 'tb65536'] |
j-loreaux assignee:j-loreaux |
0-53386 14 hours ago |
0-53386 14 hours ago |
11-19703 11 days |
| 35569 |
goliath-klein author:goliath-klein |
refactor(PiTensorProduct/{InjectiveNorm, ProjectiveNorm}): deprecate `injectiveSeminorm` |
This PR:
* Deprecates `PiTensorProduct.injectiveSeminorm` and supporting lemmas.
* Moves the theory of `liftEquiv` from InjectiveSeminorm.lean to ProjectiveSeminorm.lean.
No changes are introduced beyond adding deprecation notices, adapting docstrings, and moving material between files.
The PR leaves InjectiveSeminorm.lean almost empty. A new implementation of `injectiveSeminorm`, one which reflects the common mathematical definition, is to be done.
This is the third in a series of three PRs with the goal to [deprecate `PiTensorProuduct.injectiveSeminorm`](https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/injectiveSeminorm/with/568798633).
---
- [x] depends on: #35567
- [x] depends on: #35568
Deprecations:
- injectiveSeminorm
- dualSeminorms_bounded
- injectiveSeminorm_apply
- norm_eval_le_injectiveSeminorm
- injectiveSeminorm_le_projectiveSeminorm
- injectiveSeminorm_tprod_le
Preliminary work toward a reimplementation is at #33969.
I've added Davood and myself to the "Authors" field, as we have now significantly refactored this module.
Co-authored-by: Davood H. T. Tehrani
[](https://gitpod.io/from-referrer/)
|
new-contributor |
220/235 |
Mathlib/Analysis/Normed/Module/PiTensorProduct/InjectiveSeminorm.lean,Mathlib/Analysis/Normed/Module/PiTensorProduct/ProjectiveSeminorm.lean |
2 |
10 |
['github-actions', 'goliath-klein', 'mathlib-dependent-issues', 'mathlib-merge-conflicts', 'sgouezel'] |
sgouezel assignee:sgouezel |
0-52327 14 hours ago |
0-52327 14 hours ago |
59-76618 59 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 |
0-52325 14 hours ago |
35-22847 35 days ago |
51-69890 51 days |
| 39904 |
wwylele author:wwylele |
refactor(Analysis/Meromorphic): generalize 𝕜 → 𝕜 to 𝕜 → 𝕜' for order lemma when possible |
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 |
0-49991 13 hours ago |
18-10321 18 days ago |
18-10315 18 days |
| 39491 |
Yu-Misaka author:Yu-Misaka |
feat: a Cartan matrix of a reduced crystallographic root system cannot have eigenvalue 4 |
This proves the TODO that a Cartan matrix of a reduced crystallographic root system cannot have eigenvalue 4.
---
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new-contributor
t-algebra
codex
LLM-generated
maintainer-merge
label:t-algebra$ |
20/7 |
Mathlib/LinearAlgebra/RootSystem/CartanMatrix.lean,Mathlib/LinearAlgebra/RootSystem/GeckConstruction/Basis.lean,Mathlib/LinearAlgebra/RootSystem/GeckConstruction/Semisimple.lean |
3 |
11 |
['Yu-Misaka', 'copilot-pull-request-reviewer', 'github-actions', 'mathlib-bors', 'ocfnash'] |
ocfnash assignee:ocfnash |
0-49593 13 hours ago |
1-49806 1 day ago |
18-63958 18 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 |
17 |
['ReemMelamed', 'YaelDillies', 'YanYablonovskiy', 'github-actions', 'mathlib-bors'] |
nobody |
0-48965 13 hours ago |
7-52250 7 days ago |
14-32990 14 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 |
0-47782 13 hours ago |
0-47782 13 hours ago |
64-9018 64 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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[](https://gitpod.io/from-referrer/)
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 |
0-47364 13 hours ago |
1-24671 1 day ago |
6-37556 6 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 |
0-46442 12 hours ago |
5-31183 5 days ago |
5-51135 5 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 |
0-45949 12 hours ago |
1-26840 1 day ago |
7-40599 7 days |
| 40558 |
ChiCubed author:ChiCubed |
feat(NumberTheory/Padics/PadicVal): remove redundant hypotheses + add `padicValRat.zpow` |
We remove redundant hypotheses q != 0 on pow / inv theorems (which can now be simp), and add the missing theorem `padicValRat.zpow`
---
Note that some theorems have had signatures changed accordingly, and some simp theorems (`padicValRat.self_pow_inv`, `padicValNat.prime_pow`) are "redundant" now.
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|
t-number-theory
new-contributor
maintainer-merge
|
18/11 |
Mathlib/NumberTheory/Padics/PadicVal/Basic.lean |
1 |
6 |
['MichaelStollBayreuth', 'github-actions', 'leanprover-radar'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
0-43636 12 hours ago |
1-29189 1 day ago |
1-29652 1 day |
| 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 |
0-42792 11 hours ago |
1-66180 1 day ago |
1-66174 1 day |
| 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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- [x] depends on #37738
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[](https://gitpod.io/from-referrer/)
|
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 |
0-42660 11 hours ago |
0-44537 12 hours ago |
49-55877 49 days |
| 38582 |
dennj author:dennj |
feat(LinearAlgebra/Matrix): add Hadamard matrices |
Introduce Matrix.IsHadamard over a *-semiring, with the basic theory:
- IsHadamard: unitary entries plus two-sided orthogonality A * Aᴴ = n • 1 and Aᴴ * A = n • 1. Over ℝ/ℤ this recovers the classical Hadamard matrices (Definition 2.3.1 of de Launey–Flannery, Algebraic Design Theory); over ℂ it generalizes the complex Hadamard matrices of Definition 2.7.1.
- IsHadamard.conjTranspose, IsHadamard.neg: closure under Aᴴ and negation.
- IsHadamard.det_mul_star_det / star_det_mul_det: the determinant identity det A * star (det A) = n ^ n.
- IsHadamard.det_ne_zero (over a reduced commutative ring) and IsHadamard.isRegular_det (when the order is regular in R).
- IsHadamard.of_mul_conjTranspose / isHadamard_iff_mul_conjTranspose: the one-sided orthogonality condition suffices over a commutative ring whose order is regular (matrix form of Theorem 2.3.6).
- IsHadamard.card_eq_mul_star_of_const_col_sum: constant column sum s forces order s * star s (slightly stronger than Theorem 2.3.7, which assumes both row and column sums constant).
- IsHadamard.kronecker: the Sylvester (Kronecker product) construction.
- IsHadamard.four_dvd_card: an integer Hadamard matrix of order > 2 has order divisible by 4.
## References
Adds the de Launey–Flannery bibliography entry, cited from the new file.
Human-made PR with LLM used for proof golfing and documentation
- [x] depends on: #35652
- [x] depends on: #40418 |
t-algebra
new-contributor
label:t-algebra$ |
292/0 |
Mathlib.lean,Mathlib/Algebra/Regular/Basic.lean,Mathlib/LinearAlgebra/Matrix/HadamardMatrix.lean,docs/references.bib |
4 |
101 |
['JJYYY-JJY', 'dennj', 'eric-wieser', 'github-actions', 'mathlib-dependent-issues', 'ocfnash', 'themathqueen', 'wwylele'] |
themathqueen assignee:themathqueen |
0-40256 11 hours ago |
0-50143 13 hours ago |
38-28290 38 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'] |
nobody |
0-37551 10 hours ago |
0-38362 10 hours ago |
0-38356 10 hours |
| 40530 |
j-loreaux author:j-loreaux |
feat: introduce `SelfAdjointDecompose` class |
---
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|
t-algebra label:t-algebra$ |
66/27 |
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 |
21 |
['eric-wieser', 'github-actions', 'j-loreaux', 'themathqueen'] |
nobody |
0-35946 9 hours ago |
1-20500 1 day ago |
1-29197 1 day |
| 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 |
0-35140 9 hours ago |
1-44669 1 day ago |
1-44663 1 day |
| 39558 |
b-mehta author:b-mehta |
feat(Data/Finset/Prod): count the number of ordered pairs in a set |
These proofs were written a while ago, so they may be golfable
---
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|
t-data |
11/0 |
Mathlib/Data/Finset/Prod.lean |
1 |
4 |
['b-mehta', 'github-actions', 'plp127'] |
joneugster assignee:joneugster |
0-31546 8 hours ago |
0-36051 10 hours ago |
22-49456 22 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 |
8 |
['FordUniver', 'YaelDillies', 'github-actions', 'mathlib-bors', 'mathlib-merge-conflicts', 'mitchell-horner'] |
nobody |
0-27624 7 hours ago |
19-74753 19 days ago |
29-83886 29 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 |
0-27617 7 hours ago |
19-74369 19 days ago |
31-23879 31 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 |
0-23157 6 hours ago |
2-8792 2 days ago |
2-8786 2 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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t-number-theory
LLM-generated
|
15/0 |
Mathlib/NumberTheory/FactorisationProperties.lean |
1 |
6 |
['BoltonBailey', 'felixpernegger', 'github-actions'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
0-18745 5 hours ago |
0-18799 5 hours ago |
0-83936 23 hours |
| 40581 |
LLaurance author:LLaurance |
chore: replace refine with intro |
---
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t-ring-theory
easy
|
2/2 |
Mathlib/RingTheory/Algebraic/StronglyTranscendental.lean |
1 |
2 |
['felixpernegger', 'github-actions'] |
nobody |
0-14988 4 hours ago |
0-16675 4 hours ago |
0-16669 4 hours |
| 37934 |
Thmoas-Guan author:Thmoas-Guan |
feat(FieldTheory): definition of transcendental separable field extension |
In this PR, we introduce the concept of separably generated field extension and transcendental separable field extension.
Further properties will be in #37838
---
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t-algebra label:t-algebra$ |
102/0 |
Mathlib.lean,Mathlib/FieldTheory/TranscendentalSeparable.lean |
2 |
14 |
['Thmoas-Guan', 'github-actions', 'robin-carlier'] |
nobody |
0-10231 2 hours ago |
34-47645 34 days ago |
42-65816 42 days |
| 38309 |
ntapiam author:ntapiam |
feat(Algebra/NonAssoc): dendriform algebras |
Define dendriform semirings and algebras
---
This PR introduces dendriform structures such as dendriform semirings
and algebras, and proves basic facts linking them to their pre-Lie
counterparts.
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t-algebra
new-contributor
label:t-algebra$ |
270/0 |
Mathlib.lean,Mathlib/Algebra/NonAssoc/Dendriform/Defs.lean,docs/references.bib |
3 |
5 |
['dagurtomas', 'github-actions', 'ntapiam'] |
nobody |
0-10230 2 hours ago |
36-61545 36 days ago |
51-66836 51 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 |
0-10230 2 hours ago |
12-59983 12 days ago |
41-14181 41 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 |
0-10228 2 hours ago |
45-49578 45 days ago |
111-48385 111 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
|
227/2 |
Mathlib/Analysis/InnerProductSpace/GramMatrix.lean,Mathlib/Analysis/InnerProductSpace/Orthonormal.lean,docs/references.bib |
3 |
26 |
['Erotemic', 'github-actions', 'wwylele'] |
nobody |
0-9033 2 hours ago |
1-8007 1 day ago |
1-8001 1 day |
| 38014 |
cduenasnavarro author:cduenasnavarro |
feat(InformationTheory): linear codes over finite fields and minimum distance properties |
Define linear codes over a finite field `F` as finite-dimensional subspaces of `Fin n → F`,
together with their minimum Hamming distance.
Main definitions:
* `LinearCode`
* `minDist`
* `LinearCodeWithDist`
* `hammingSphere`
Main results:
* `minDist_eq_sInf_pairwiseDist`: characterisation of the minimum distance via pairwise distances
* `disjoint_spheres`: Hamming spheres of radius `t` around distinct codewords are disjoint
if `2 * t < d`
Pending:
* Choosing an adequate book reference
---
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|
t-measure-probability
new-contributor
|
181/0 |
Mathlib.lean,Mathlib/InformationTheory/Coding/LinearCode.lean |
2 |
38 |
['cduenasnavarro', 'github-actions', 'linesthatinterlace', 'rkirov', 'vihdzp', 'wwylele'] |
YaelDillies assignee:YaelDillies |
0-8119 2 hours ago |
61-28171 61 days ago |
61-28928 61 days |
| 38141 |
Jun2M author:Jun2M |
feat(Order/Partition): Partition induced by 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 |
41/7 |
Mathlib/Order/Partition/Basic.lean |
1 |
1 |
['github-actions'] |
YaelDillies assignee:YaelDillies |
0-8118 2 hours ago |
58-7122 58 days ago |
58-7116 58 days |
| 38821 |
Jun2M author:Jun2M |
feat(Data/List): rotation of sublist is sublist of rotation |
This PR proves `(∃ L₁ : List α, L ~r L₁ ∧ L₁ <+ L') ↔ (∃ L₂ : List α, L <+ L₂ ∧ L₂ ~r L')`.
---
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|
t-data |
10/0 |
Mathlib/Data/List/Rotate.lean |
1 |
3 |
['SnirBroshi', 'eric-wieser', 'github-actions'] |
TwoFX assignee:TwoFX |
0-8117 2 hours ago |
43-28545 43 days ago |
43-28539 43 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 |
0-8116 2 hours ago |
12-64855 12 days ago |
12-64849 12 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 |
2 |
['felixpernegger', 'github-actions'] |
kex-y assignee:kex-y |
0-8115 2 hours ago |
0-86078 23 hours ago |
0-86072 23 hours |
| 40569 |
teorth author:teorth |
feat: costa-pereira inequalities |
---
This PR upstreams the Costa-Pereira inequalities from https://alexkontorovich.github.io/PrimeNumberTheoremAnd/blueprint/secondary-chapter.html#costa-pereira-sec , with streamlined proofs.
These inequalities give quite precise upper and lower bounds for the difference between the Chebyshev functions `θ` and `ψ`, namely that
`ψ x - θ x ≤ ψ (x ^ (1 / (2 : ℝ))) + ψ (x ^ (1 / (3 : ℝ))) + ψ (x ^ (1 / (5 : ℝ)))`
and
`ψ (x ^ (1 / (2 : ℝ))) + ψ (x ^ (1 / (3 : ℝ))) + ψ (x ^ (1 / (7 : ℝ))) ≤ ψ x - θ x`
for all non-negative `x`. As a corollary, the bound `ψ x = θ x + O( √x )` is established.
-->
[](https://gitpod.io/from-referrer/)
|
new-contributor
t-number-theory
|
135/15 |
Mathlib/NumberTheory/Chebyshev.lean |
1 |
19 |
['felixpernegger', 'github-actions', 'teorth'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
0-8114 2 hours ago |
0-41536 11 hours ago |
0-82030 22 hours |
| 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: 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.
Rob |
t-number-theory
new-contributor
LLM-generated
|
209/0 |
Mathlib.lean,Mathlib/NumberTheory/EulerMaclaurin.lean |
2 |
11 |
['Robby955', 'ajirving', 'felixpernegger', 'github-actions', 'wwylele'] |
MichaelStollBayreuth assignee:MichaelStollBayreuth |
0-8113 2 hours ago |
0-57462 15 hours ago |
0-57456 15 hours |
| 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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[](https://gitpod.io/from-referrer/)
|
t-measure-probability |
176/284 |
Mathlib/MeasureTheory/SetSemiring.lean |
1 |
1 |
['github-actions'] |
kex-y assignee:kex-y |
0-8112 2 hours ago |
0-29841 8 hours ago |
0-29874 8 hours |
| 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$ |
239/2 |
Mathlib/Data/Matrix/Mul.lean,Mathlib/LinearAlgebra/Matrix/Symmetric.lean,Mathlib/LinearAlgebra/Matrix/Transvection.lean,Mathlib/LinearAlgebra/SymplecticGroup.lean |
4 |
24 |
['Whysoserioushah', 'Yu-Misaka', 'faenuccio', 'github-actions', 'mathlib-bors', 'wwylele'] |
nobody |
0-3553 59 minutes ago |
1-47613 1 day ago |
4-2323 4 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 |
0-1468 24 minutes ago |
0-3053 50 minutes ago |
0-3047 50 minutes |
| 40583 |
dennj author:dennj |
feat(Analysis/Fourier/Convolution): drop continuity hypotheses from the convolution theorems |
drop continuity hypotheses from the convolution theorems
|
t-analysis
new-contributor
|
31/53 |
Mathlib/Analysis/Fourier/Convolution.lean,Mathlib/Analysis/Fourier/FourierTransform.lean |
2 |
2 |
['github-actions'] |
nobody |
0-58 58 seconds ago |
0-4131 1 hour ago |
0-4125 1 hour |